/* Generated by Cython 0.26.1 */

#define PY_SSIZE_T_CLEAN
#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03020000)
    #error Cython requires Python 2.6+ or Python 3.2+.
#else
#define CYTHON_ABI "0_26_1"
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(WIN32) && !defined(MS_WINDOWS)
  #ifndef __stdcall
    #define __stdcall
  #endif
  #ifndef __cdecl
    #define __cdecl
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  #ifndef __fastcall
    #define __fastcall
  #endif
#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef HAVE_LONG_LONG
  #if PY_VERSION_HEX >= 0x03030000 || (PY_MAJOR_VERSION == 2 && PY_VERSION_HEX >= 0x02070000)
    #define HAVE_LONG_LONG
  #endif
#endif
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#ifdef PYPY_VERSION
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
#elif defined(PYSTON_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
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  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_INTERNALS
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  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
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  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
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  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
#else
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
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  #if PY_VERSION_HEX < 0x02070000
    #undef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 0
  #elif !defined(CYTHON_USE_PYTYPE_LOOKUP)
    #define CYTHON_USE_PYTYPE_LOOKUP 1
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  #if PY_MAJOR_VERSION < 3
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
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    #define CYTHON_USE_ASYNC_SLOTS 1
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  #if PY_VERSION_HEX < 0x02070000
    #undef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 0
  #elif !defined(CYTHON_USE_PYLONG_INTERNALS)
    #define CYTHON_USE_PYLONG_INTERNALS 1
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  #ifndef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 1
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  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
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  #if PY_VERSION_HEX < 0x030300F0
    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #elif !defined(CYTHON_USE_UNICODE_WRITER)
    #define CYTHON_USE_UNICODE_WRITER 1
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  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
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  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
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  #ifndef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
  #undef SHIFT
  #undef BASE
  #undef MASK
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
  #define Py_OptimizeFlag 0
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#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#if PY_MAJOR_VERSION < 3
  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
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  #define __Pyx_DefaultClassType PyClass_Type
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  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #define __Pyx_DefaultClassType PyType_Type
#endif
#ifndef Py_TPFLAGS_CHECKTYPES
  #define Py_TPFLAGS_CHECKTYPES 0
#endif
#ifndef Py_TPFLAGS_HAVE_INDEX
  #define Py_TPFLAGS_HAVE_INDEX 0
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#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
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#if PY_VERSION_HEX < 0x030700A0 || !defined(METH_FASTCALL)
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
  #endif
  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject **args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject **args,
                                                          Py_ssize_t nargs, PyObject *kwnames);
#else
  #define __Pyx_PyCFunctionFast _PyCFunctionFast
  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
#endif
#if CYTHON_FAST_PYCCALL
#define __Pyx_PyFastCFunction_Check(func)\
    ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS)))))
#else
#define __Pyx_PyFastCFunction_Check(func) 0
#endif
#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                              0 : _PyUnicode_Ready((PyObject *)(op)))
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
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  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
  #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
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#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
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  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
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#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
  #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
  #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
  #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#if CYTHON_COMPILING_IN_PYSTON
  #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
#endif
#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
#endif
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : PyInstanceMethod_New(func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#endif
#ifndef __has_attribute
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#endif
#ifndef __has_cpp_attribute
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#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_MAYBE_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x)
#  endif
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
           typedef unsigned char     uint8_t;
           typedef unsigned int      uint32_t;
        #else
           typedef unsigned __int8   uint8_t;
           typedef unsigned __int32  uint32_t;
        #endif
    #endif
#else
   #include <stdint.h>
#endif
#ifndef CYTHON_FALLTHROUGH
  #ifdef __cplusplus
    #if __has_cpp_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH [[fallthrough]]
    #elif __has_cpp_attribute(clang::fallthrough)
      #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
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  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough) || (defined(__GNUC__) && defined(__attribute__))
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    #else
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
#endif

#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #elif defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
  #else
    #define CYTHON_INLINE
  #endif
#endif

#if defined(WIN32) || defined(MS_WINDOWS)
  #define _USE_MATH_DEFINES
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif


#define __PYX_ERR(f_index, lineno, Ln_error) \
{ \
  __pyx_filename = __pyx_f[f_index]; __pyx_lineno = lineno; __pyx_clineno = __LINE__; goto Ln_error; \
}

#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif

#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
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#endif

#define __PYX_HAVE__dipy__align__vector_fields
#define __PYX_HAVE_API__dipy__align__vector_fields
#include <string.h>
#include <stdio.h>
#include <stdlib.h>
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "dpy_math.h"
#include "pythread.h"
#include "pystate.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#ifdef PYREX_WITHOUT_ASSERTIONS
#define CYTHON_WITHOUT_ASSERTIONS
#endif

typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER) && defined (_M_X64)
    #define __Pyx_sst_abs(value) _abs64(value)
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#else
#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
#endif
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False))
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
#if CYTHON_ASSUME_SAFE_MACROS
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }

static PyObject *__pyx_m;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_cython_runtime;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static PyObject *__pyx_empty_unicode;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;

/* Header.proto */
#if !defined(CYTHON_CCOMPLEX)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif defined(_Complex_I)
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif


static const char *__pyx_f[] = {
  "dipy/align/vector_fields.pyx",
  "__init__.pxd",
  "stringsource",
  "type.pxd",
};
/* MemviewSliceStruct.proto */
struct __pyx_memoryview_obj;
typedef struct {
  struct __pyx_memoryview_obj *memview;
  char *data;
  Py_ssize_t shape[8];
  Py_ssize_t strides[8];
  Py_ssize_t suboffsets[8];
} __Pyx_memviewslice;

/* BufferFormatStructs.proto */
#define IS_UNSIGNED(type) (((type) -1) > 0)
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
  const char* name;
  struct __Pyx_StructField_* fields;
  size_t size;
  size_t arraysize[8];
  int ndim;
  char typegroup;
  char is_unsigned;
  int flags;
} __Pyx_TypeInfo;
typedef struct __Pyx_StructField_ {
  __Pyx_TypeInfo* type;
  const char* name;
  size_t offset;
} __Pyx_StructField;
typedef struct {
  __Pyx_StructField* field;
  size_t parent_offset;
} __Pyx_BufFmt_StackElem;
typedef struct {
  __Pyx_StructField root;
  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  size_t new_count, enc_count;
  size_t struct_alignment;
  int is_complex;
  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;

/* Atomics.proto */
#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __pyx_atomic_int_type int
#if CYTHON_ATOMICS && __GNUC__ >= 4 && (__GNUC_MINOR__ > 1 ||\
                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL >= 2)) &&\
                    !defined(__i386__)
    #define __pyx_atomic_incr_aligned(value, lock) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_aligned(value, lock) __sync_fetch_and_sub(value, 1)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using GNU atomics"
    #endif
#elif CYTHON_ATOMICS && defined(_MSC_VER) && 0
    #include <Windows.h>
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type LONG
    #define __pyx_atomic_incr_aligned(value, lock) InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #pragma message ("Using MSVC atomics")
    #endif
#elif CYTHON_ATOMICS && (defined(__ICC) || defined(__INTEL_COMPILER)) && 0
    #define __pyx_atomic_incr_aligned(value, lock) _InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) _InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using Intel atomics"
    #endif
#else
    #undef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 0
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Not using atomics"
    #endif
#endif
typedef volatile __pyx_atomic_int_type __pyx_atomic_int;
#if CYTHON_ATOMICS
    #define __pyx_add_acquisition_count(memview)\
             __pyx_atomic_incr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_atomic_decr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
#else
    #define __pyx_add_acquisition_count(memview)\
            __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_sub_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
#endif


/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":725
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":726
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":727
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":728
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":732
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":733
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":734
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":735
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":739
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":740
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":749
 * # The int types are mapped a bit surprising --
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
 */
typedef npy_long __pyx_t_5numpy_int_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":750
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":751
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":753
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":754
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":755
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":757
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":758
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":760
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
 */
typedef npy_double __pyx_t_5numpy_float_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":761
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":762
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif
static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
  #endif
#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif
static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);


/*--- Type declarations ---*/
struct __pyx_array_obj;
struct __pyx_MemviewEnum_obj;
struct __pyx_memoryview_obj;
struct __pyx_memoryviewslice_obj;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":764
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":765
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":766
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "../../../../../../usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":768
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_defaults;
typedef struct __pyx_defaults __pyx_defaults;
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               __Pyx_SetItemInt_Generic(o, to_py_func(i), v)))
static CYTHON_INLINE int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int is_list, int wraparound, int boundscheck);

/* PyObjectCallNoArg.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
#else
#define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL)
#endif

/* PyObjectCallMethod0.proto */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);

/* RaiseNoneIterError.proto */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

/* UnpackTupleError.proto */
static void __Pyx_UnpackTupleError(PyObject *, Py_ssize_t index);

/* UnpackTuple2.proto */
static CYTHON_INLINE int __Pyx_unpack_tuple2(PyObject* tuple, PyObject** value1, PyObject** value2,
                                             int is_tuple, int has_known_size, int decref_tuple);

/* dict_iter.proto */
static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* dict, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_is_dict);
static CYTHON_INLINE int __Pyx_dict_iter_next(PyObject* dict_or_iter, Py_ssize_t orig_length, Py_ssize_t* ppos,
                                              PyObject** pkey, PyObject** pvalue, PyObject** pitem, int is_dict);

/* GetItemInt.proto */
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck);

/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

/* NoFastGil.proto */
#define __Pyx_PyGILState_Ensure PyGILState_Ensure
#define __Pyx_PyGILState_Release PyGILState_Release
#define __Pyx_FastGIL_Remember()
#define __Pyx_FastGIL_Forget()
#define __Pyx_FastGilFuncInit()

/* ExtTypeTest.proto */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);

/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif

/* PyErrExceptionMatches.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif

/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* ArgTypeTest.proto */
static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact);

/* UnaryNegOverflows.proto */
#define UNARY_NEG_WOULD_OVERFLOW(x)\
        (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))

static CYTHON_UNUSED int __pyx_array_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *); /*proto*/
/* GetAttr.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);

/* decode_c_string_utf16.proto */
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 0;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16LE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = -1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16BE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}

/* decode_c_string.proto */
static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));

/* GetAttr3.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);

/* SwapException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* Import.proto */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

static CYTHON_UNUSED int __pyx_memoryview_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
/* ListCompAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
#endif

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace);
#else
#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

/* ListExtend.proto */
static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject* none = _PyList_Extend((PyListObject*)L, v);
    if (unlikely(!none))
        return -1;
    Py_DECREF(none);
    return 0;
#else
    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);
#endif
}

/* None.proto */
static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);

/* ForceInitThreads.proto */
#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
#endif

/* WriteUnraisableException.proto */
static void __Pyx_WriteUnraisable(const char *name, int clineno,
                                  int lineno, const char *filename,
                                  int full_traceback, int nogil);

/* ImportFrom.proto */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);

/* HasAttr.proto */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);

/* SetVTable.proto */
static int __Pyx_SetVtable(PyObject *dict, void *vtable);

/* SetupReduce.proto */
static int __Pyx_setup_reduce(PyObject* type_obj);

/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);

/* CythonFunction.proto */
#define __Pyx_CyFunction_USED 1
#include <structmember.h>
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#define __Pyx_CyFunction_GetClassObj(f)\
    (((__pyx_CyFunctionObject *) (f))->func_classobj)
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
    PyCFunctionObject func;
#if PY_VERSION_HEX < 0x030500A0
    PyObject *func_weakreflist;
#endif
    PyObject *func_dict;
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
    PyObject *func_classobj;
    void *defaults;
    int defaults_pyobjects;
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
} __pyx_CyFunctionObject;
static PyTypeObject *__pyx_CyFunctionType = 0;
#define __Pyx_CyFunction_NewEx(ml, flags, qualname, self, module, globals, code)\
    __Pyx_CyFunction_New(__pyx_CyFunctionType, ml, flags, qualname, self, module, globals, code)
static PyObject *__Pyx_CyFunction_New(PyTypeObject *, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *self,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(void);

/* FusedFunction.proto */
typedef struct {
    __pyx_CyFunctionObject func;
    PyObject *__signatures__;
    PyObject *type;
    PyObject *self;
} __pyx_FusedFunctionObject;
#define __pyx_FusedFunction_NewEx(ml, flags, qualname, self, module, globals, code)\
        __pyx_FusedFunction_New(__pyx_FusedFunctionType, ml, flags, qualname, self, module, globals, code)
static PyObject *__pyx_FusedFunction_New(PyTypeObject *type,
                                         PyMethodDef *ml, int flags,
                                         PyObject *qualname, PyObject *self,
                                         PyObject *module, PyObject *globals,
                                         PyObject *code);
static int __pyx_FusedFunction_clear(__pyx_FusedFunctionObject *self);
static PyTypeObject *__pyx_FusedFunctionType = NULL;
static int __pyx_FusedFunction_init(void);
#define __Pyx_FusedFunction_USED

/* CLineInTraceback.proto */
static int __Pyx_CLineForTraceback(int c_line);

/* CodeObjectCache.proto */
typedef struct {
    PyCodeObject* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);

/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

#if PY_MAJOR_VERSION < 3
    static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
    static void __Pyx_ReleaseBuffer(Py_buffer *view);
#else
    #define __Pyx_GetBuffer PyObject_GetBuffer
    #define __Pyx_ReleaseBuffer PyBuffer_Release
#endif


/* BufferStructDeclare.proto */
typedef struct {
  Py_ssize_t shape, strides, suboffsets;
} __Pyx_Buf_DimInfo;
typedef struct {
  size_t refcount;
  Py_buffer pybuffer;
} __Pyx_Buffer;
typedef struct {
  __Pyx_Buffer *rcbuffer;
  char *data;
  __Pyx_Buf_DimInfo diminfo[8];
} __Pyx_LocalBuf_ND;

/* None.proto */
static Py_ssize_t __Pyx_zeros[] = {0, 0, 0, 0, 0, 0, 0, 0};
static Py_ssize_t __Pyx_minusones[] = {-1, -1, -1, -1, -1, -1, -1, -1};

/* MemviewSliceIsContig.proto */
static int __pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs,
                                        char order, int ndim);

/* OverlappingSlices.proto */
static int __pyx_slices_overlap(__Pyx_memviewslice *slice1,
                                __Pyx_memviewslice *slice2,
                                int ndim, size_t itemsize);

/* Capsule.proto */
static CYTHON_INLINE PyObject *__pyx_capsule_create(void *p, const char *sig);

/* TypeInfoCompare.proto */
static int __pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b);

/* MemviewSliceValidateAndInit.proto */
static int __Pyx_ValidateAndInit_memviewslice(
                int *axes_specs,
                int c_or_f_flag,
                int buf_flags,
                int ndim,
                __Pyx_TypeInfo *dtype,
                __Pyx_BufFmt_StackElem stack[],
                __Pyx_memviewslice *memviewslice,
                PyObject *original_obj);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_float(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_double(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_float(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_double(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_short(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_int(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_long(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds___pyx_t_float_complex(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds___pyx_t_double_complex(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_short(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_int(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_long(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds___pyx_t_float_complex(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds___pyx_t_double_complex(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsdsds_float(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsdsds_double(PyObject *);

/* RealImag.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
    #define __Pyx_c_diff_float(a, b) ((a)-(b))
    #define __Pyx_c_prod_float(a, b) ((a)*(b))
    #define __Pyx_c_quot_float(a, b) ((a)/(b))
    #define __Pyx_c_neg_float(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
    #define __Pyx_c_conj_float(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (::std::abs(z))
        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (cabsf(z))
        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_double(PyObject *);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_float(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_float(const char *itemp, PyObject *obj);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_double(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_double(const char *itemp, PyObject *obj);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_int(PyObject *);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_int(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_int(const char *itemp, PyObject *obj);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_short(short value);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_short(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_short(const char *itemp, PyObject *obj);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_long(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_long(const char *itemp, PyObject *obj);

/* ToPy.proto */
#define __pyx_PyComplex_FromComplex(z)\
        PyComplex_FromDoubles((double)__Pyx_CREAL(z),\
                              (double)__Pyx_CIMAG(z))

/* FromPy.proto */
static __pyx_t_float_complex __Pyx_PyComplex_As___pyx_t_float_complex(PyObject*);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get___pyx_t_float_complex(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set___pyx_t_float_complex(const char *itemp, PyObject *obj);

/* FromPy.proto */
static __pyx_t_double_complex __Pyx_PyComplex_As___pyx_t_double_complex(PyObject*);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get___pyx_t_double_complex(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set___pyx_t_double_complex(const char *itemp, PyObject *obj);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value);

/* MemviewSliceCopyTemplate.proto */
static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 size_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object);

/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE Py_intptr_t __Pyx_PyInt_As_Py_intptr_t(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE short __Pyx_PyInt_As_short(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

/* BytesContains.proto */
static CYTHON_INLINE int __Pyx_BytesContains(PyObject* bytes, char character);

/* ImportNumPyArray.proto */
static PyObject *__pyx_numpy_ndarray = NULL;
static PyObject* __Pyx_ImportNumPyArrayTypeIfAvailable(void);

/* CIntFromPy.proto */
static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_float(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_short(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_long(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds___pyx_t_float_complex(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds___pyx_t_double_complex(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsdsds_int(PyObject *);

/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(void);

/* PyIdentifierFromString.proto */
#if !defined(__Pyx_PyIdentifier_FromString)
#if PY_MAJOR_VERSION < 3
  #define __Pyx_PyIdentifier_FromString(s) PyString_FromString(s)
#else
  #define __Pyx_PyIdentifier_FromString(s) PyUnicode_FromString(s)
#endif
#endif

/* ModuleImport.proto */
static PyObject *__Pyx_ImportModule(const char *name);

/* TypeImport.proto */
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, size_t size, int strict);

/* InitStrings.proto */
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);

static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *__pyx_v_self); /* proto*/
static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/
static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assign_scalar(struct __pyx_memoryview_obj *__pyx_v_self, struct __pyx_memoryview_obj *__pyx_v_dst, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_setitem_indexed(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryviewslice_convert_item_to_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryviewslice_assign_item_from_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/

/* Module declarations from 'cpython.buffer' */

/* Module declarations from 'libc.string' */

/* Module declarations from 'libc.stdio' */

/* Module declarations from '__builtin__' */

/* Module declarations from 'cpython.type' */
static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;

/* Module declarations from 'cpython' */

/* Module declarations from 'cpython.object' */

/* Module declarations from 'cpython.ref' */

/* Module declarations from 'libc.stdlib' */

/* Module declarations from 'numpy' */

/* Module declarations from 'numpy' */
static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;
static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/

/* Module declarations from 'cython.view' */

/* Module declarations from 'cython' */

/* Module declarations from 'dipy.align.fused_types' */

/* Module declarations from 'dipy.align.vector_fields' */
static PyTypeObject *__pyx_array_type = 0;
static PyTypeObject *__pyx_MemviewEnum_type = 0;
static PyTypeObject *__pyx_memoryview_type = 0;
static PyTypeObject *__pyx_memoryviewslice_type = 0;
static PyObject *generic = 0;
static PyObject *strided = 0;
static PyObject *indirect = 0;
static PyObject *contiguous = 0;
static PyObject *indirect_contiguous = 0;
static int __pyx_memoryview_thread_locks_used;
static PyThread_type_lock __pyx_memoryview_thread_locks[8];
static CYTHON_INLINE double __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x0(double, double, double, double, __Pyx_memviewslice); /*proto*/
static CYTHON_INLINE double __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1(double, double, double, double, __Pyx_memviewslice); /*proto*/
static CYTHON_INLINE double __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2(double, double, double, double, __Pyx_memviewslice); /*proto*/
static CYTHON_INLINE double __pyx_f_4dipy_5align_13vector_fields__apply_affine_2d_x0(double, double, double, __Pyx_memviewslice); /*proto*/
static CYTHON_INLINE double __pyx_f_4dipy_5align_13vector_fields__apply_affine_2d_x1(double, double, double, __Pyx_memviewslice); /*proto*/
static CYTHON_INLINE int __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__interpolate_vector_2d(__Pyx_memviewslice, double, double, float *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_vector_2d(__Pyx_memviewslice, double, double, double *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_2d(__Pyx_memviewslice, double, double, float *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_2d(__Pyx_memviewslice, double, double, double *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_2d(__Pyx_memviewslice, double, double, short *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_2d(__Pyx_memviewslice, double, double, int *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_2__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_2d(__Pyx_memviewslice, double, double, long *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_3__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_2d(__Pyx_memviewslice, double, double, float *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_4__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_2d(__Pyx_memviewslice, double, double, double *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_5__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_2d(__Pyx_memviewslice, double, double, __pyx_t_float_complex *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_6__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_2d(__Pyx_memviewslice, double, double, __pyx_t_double_complex *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__Pyx_memviewslice, double, double, double, short *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__Pyx_memviewslice, double, double, double, int *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_2__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__Pyx_memviewslice, double, double, double, long *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_3__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__Pyx_memviewslice, double, double, double, float *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_4__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__Pyx_memviewslice, double, double, double, double *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_5__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__Pyx_memviewslice, double, double, double, __pyx_t_float_complex *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_6__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__Pyx_memviewslice, double, double, double, __pyx_t_double_complex *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_3d(__Pyx_memviewslice, double, double, double, float *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_3d(__Pyx_memviewslice, double, double, double, double *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__interpolate_vector_3d(__Pyx_memviewslice, double, double, double, float *); /*proto*/
static CYTHON_INLINE int __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_vector_3d(__Pyx_memviewslice, double, double, double, double *); /*proto*/
static void __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__compose_vector_fields_2d(__Pyx_memviewslice, __Pyx_memviewslice, __Pyx_memviewslice, __Pyx_memviewslice, double, __Pyx_memviewslice, __Pyx_memviewslice); /*proto*/
static void __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__compose_vector_fields_2d(__Pyx_memviewslice, __Pyx_memviewslice, __Pyx_memviewslice, __Pyx_memviewslice, double, __Pyx_memviewslice, __Pyx_memviewslice); /*proto*/
static void __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__compose_vector_fields_3d(__Pyx_memviewslice, __Pyx_memviewslice, __Pyx_memviewslice, __Pyx_memviewslice, double, __Pyx_memviewslice, __Pyx_memviewslice); /*proto*/
static void __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__compose_vector_fields_3d(__Pyx_memviewslice, __Pyx_memviewslice, __Pyx_memviewslice, __Pyx_memviewslice, double, __Pyx_memviewslice, __Pyx_memviewslice); /*proto*/
static struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char *, char *); /*proto*/
static void *__pyx_align_pointer(void *, size_t); /*proto*/
static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo *); /*proto*/
static CYTHON_INLINE int __pyx_memoryview_check(PyObject *); /*proto*/
static PyObject *_unellipsify(PyObject *, int); /*proto*/
static PyObject *assert_direct_dimensions(Py_ssize_t *, int); /*proto*/
static struct __pyx_memoryview_obj *__pyx_memview_slice(struct __pyx_memoryview_obj *, PyObject *); /*proto*/
static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int, int); /*proto*/
static char *__pyx_pybuffer_index(Py_buffer *, char *, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memslice_transpose(__Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_fromslice(__Pyx_memviewslice, int, PyObject *(*)(char *), int (*)(char *, PyObject *), int); /*proto*/
static __Pyx_memviewslice *__pyx_memoryview_get_slice_from_memoryview(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static void __pyx_memoryview_slice_copy(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_copy_object(struct __pyx_memoryview_obj *); /*proto*/
static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static Py_ssize_t abs_py_ssize_t(Py_ssize_t); /*proto*/
static char __pyx_get_best_slice_order(__Pyx_memviewslice *, int); /*proto*/
static void _copy_strided_to_strided(char *, Py_ssize_t *, char *, Py_ssize_t *, Py_ssize_t *, Py_ssize_t *, int, size_t); /*proto*/
static void copy_strided_to_strided(__Pyx_memviewslice *, __Pyx_memviewslice *, int, size_t); /*proto*/
static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *, int); /*proto*/
static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *, Py_ssize_t *, Py_ssize_t, int, char); /*proto*/
static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *, __Pyx_memviewslice *, char, int); /*proto*/
static int __pyx_memoryview_err_extents(int, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memoryview_err_dim(PyObject *, char *, int); /*proto*/
static int __pyx_memoryview_err(PyObject *, char *); /*proto*/
static int __pyx_memoryview_copy_contents(__Pyx_memviewslice, __Pyx_memviewslice, int, int, int); /*proto*/
static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *, int, int); /*proto*/
static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/
static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/
static PyObject *__pyx_unpickle_Enum__set_state(struct __pyx_MemviewEnum_obj *, PyObject *); /*proto*/
static __Pyx_TypeInfo __Pyx_TypeInfo_float = { "float", NULL, sizeof(float), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_short = { "short", NULL, sizeof(short), { 0 }, 0, IS_UNSIGNED(short) ? 'U' : 'I', IS_UNSIGNED(short), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_int = { "int", NULL, sizeof(int), { 0 }, 0, IS_UNSIGNED(int) ? 'U' : 'I', IS_UNSIGNED(int), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_long = { "long", NULL, sizeof(long), { 0 }, 0, IS_UNSIGNED(long) ? 'U' : 'I', IS_UNSIGNED(long), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo___pyx_t_float_complex = { "float complex", NULL, sizeof(__pyx_t_float_complex), { 0 }, 0, 'C', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo___pyx_t_double_complex = { "double complex", NULL, sizeof(__pyx_t_double_complex), { 0 }, 0, 'C', 0, 0 };
#define __Pyx_MODULE_NAME "dipy.align.vector_fields"
int __pyx_module_is_main_dipy__align__vector_fields = 0;

/* Implementation of 'dipy.align.vector_fields' */
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_zip;
static PyObject *__pyx_builtin_reversed;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_MemoryError;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_Ellipsis;
static PyObject *__pyx_builtin_id;
static PyObject *__pyx_builtin_IndexError;
static const char __pyx_k_[] = "<";
static const char __pyx_k_M[] = "M";
static const char __pyx_k_O[] = "O";
static const char __pyx_k_b[] = "b";
static const char __pyx_k_c[] = "c";
static const char __pyx_k_d[] = "d";
static const char __pyx_k_h[] = "h";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_j[] = "j";
static const char __pyx_k_k[] = "k";
static const char __pyx_k_m[] = "m";
static const char __pyx_k_n[] = "n";
static const char __pyx_k_p[] = "p";
static const char __pyx_k_q[] = "q";
static const char __pyx_k_r[] = "r";
static const char __pyx_k_s[] = "s";
static const char __pyx_k_x[] = "x";
static const char __pyx_k__2[] = ">";
static const char __pyx_k__3[] = "()";
static const char __pyx_k__5[] = "|";
static const char __pyx_k_d1[] = "d1";
static const char __pyx_k_d2[] = "d2";
static const char __pyx_k_di[] = "di";
static const char __pyx_k_dj[] = "dj";
static const char __pyx_k_dk[] = "dk";
static const char __pyx_k_dx[] = "dx";
static const char __pyx_k_id[] = "id";
static const char __pyx_k_ii[] = "ii";
static const char __pyx_k_jj[] = "jj";
static const char __pyx_k_kk[] = "kk";
static const char __pyx_k_nc[] = "nc";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_nr[] = "nr";
static const char __pyx_k_ns[] = "ns";
static const char __pyx_k_ri[] = "ri";
static const char __pyx_k_rj[] = "rj";
static const char __pyx_k_rk[] = "rk";
static const char __pyx_k_sc[] = "sc";
static const char __pyx_k_sr[] = "sr";
static const char __pyx_k_ss[] = "ss";
static const char __pyx_k_all[] = "all";
static const char __pyx_k_cnt[] = "cnt";
static const char __pyx_k_dii[] = "dii";
static const char __pyx_k_dim[] = "dim";
static const char __pyx_k_djj[] = "djj";
static const char __pyx_k_dkk[] = "dkk";
static const char __pyx_k_img[] = "img";
static const char __pyx_k_int[] = "int";
static const char __pyx_k_inv[] = "inv";
static const char __pyx_k_mag[] = "mag";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_nnc[] = "nnc";
static const char __pyx_k_nnr[] = "nnr";
static const char __pyx_k_nns[] = "nns";
static const char __pyx_k_obj[] = "obj";
static const char __pyx_k_out[] = "out";
static const char __pyx_k_tmp[] = "tmp";
static const char __pyx_k_tol[] = "tol";
static const char __pyx_k_zip[] = "zip";
static const char __pyx_k__109[] = "";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_base[] = "base";
static const char __pyx_k_beta[] = "beta";
static const char __pyx_k_comp[] = "comp";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_down[] = "down";
static const char __pyx_k_flag[] = "flag";
static const char __pyx_k_kind[] = "kind";
static const char __pyx_k_long[] = "long";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_mode[] = "mode";
static const char __pyx_k_name[] = "name";
static const char __pyx_k_ndim[] = "ndim";
static const char __pyx_k_pack[] = "pack";
static const char __pyx_k_size[] = "size";
static const char __pyx_k_step[] = "step";
static const char __pyx_k_stop[] = "stop";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_tmp0[] = "tmp0";
static const char __pyx_k_tmp1[] = "tmp1";
static const char __pyx_k_type[] = "type";
static const char __pyx_k_ASCII[] = "ASCII";
static const char __pyx_k_alpha[] = "alpha";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_cbeta[] = "cbeta";
static const char __pyx_k_class[] = "__class__";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_empty[] = "empty";
static const char __pyx_k_error[] = "error";
static const char __pyx_k_field[] = "field";
static const char __pyx_k_flags[] = "flags";
static const char __pyx_k_float[] = "float";
static const char __pyx_k_ftype[] = "ftype";
static const char __pyx_k_gamma[] = "gamma";
static const char __pyx_k_image[] = "image";
static const char __pyx_k_int32[] = "int32";
static const char __pyx_k_ncVol[] = "ncVol";
static const char __pyx_k_ncols[] = "ncols";
static const char __pyx_k_norms[] = "norms";
static const char __pyx_k_nrVol[] = "nrVol";
static const char __pyx_k_nrows[] = "nrows";
static const char __pyx_k_nsVol[] = "nsVol";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_shape[] = "shape";
static const char __pyx_k_short[] = "short";
static const char __pyx_k_split[] = "split";
static const char __pyx_k_start[] = "start";
static const char __pyx_k_stats[] = "stats";
static const char __pyx_k_strip[] = "strip";
static const char __pyx_k_tcols[] = "tcols";
static const char __pyx_k_theta[] = "theta";
static const char __pyx_k_trows[] = "trows";
static const char __pyx_k_zeros[] = "zeros";
static const char __pyx_k_affine[] = "affine";
static const char __pyx_k_astype[] = "astype";
static const char __pyx_k_calpha[] = "calpha";
static const char __pyx_k_cgamma[] = "cgamma";
static const char __pyx_k_difmag[] = "difmag";
static const char __pyx_k_double[] = "double";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_inside[] = "inside";
static const char __pyx_k_kwargs[] = "kwargs";
static const char __pyx_k_maxlen[] = "maxlen";
static const char __pyx_k_name_2[] = "__name__";
static const char __pyx_k_output[] = "output";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_radius[] = "radius";
static const char __pyx_k_random[] = "random";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_struct[] = "struct";
static const char __pyx_k_unpack[] = "unpack";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_volume[] = "volume";
static const char __pyx_k_warped[] = "warped";
static const char __pyx_k_asarray[] = "asarray";
static const char __pyx_k_current[] = "current";
static const char __pyx_k_epsilon[] = "epsilon";
static const char __pyx_k_factors[] = "factors";
static const char __pyx_k_float64[] = "float64";
static const char __pyx_k_fortran[] = "fortran";
static const char __pyx_k_in_flag[] = "in_flag";
static const char __pyx_k_jd_grad[] = "jd_grad";
static const char __pyx_k_memview[] = "memview";
static const char __pyx_k_mid_col[] = "mid_col";
static const char __pyx_k_mid_row[] = "mid_row";
static const char __pyx_k_nslices[] = "nslices";
static const char __pyx_k_randint[] = "randint";
static const char __pyx_k_spacing[] = "spacing";
static const char __pyx_k_strides[] = "strides";
static const char __pyx_k_tslices[] = "tslices";
static const char __pyx_k_warp_2d[] = "warp_2d";
static const char __pyx_k_warp_3d[] = "warp_3d";
static const char __pyx_k_Ellipsis[] = "Ellipsis";
static const char __pyx_k_defaults[] = "defaults";
static const char __pyx_k_dom_size[] = "dom_size";
static const char __pyx_k_expanded[] = "expanded";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_gradient[] = "gradient";
static const char __pyx_k_isfinite[] = "isfinite";
static const char __pyx_k_itemsize[] = "itemsize";
static const char __pyx_k_max_iter[] = "max_iter";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_reversed[] = "reversed";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_substats[] = "substats";
static const char __pyx_k_to_shape[] = "to_shape";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_byteorder[] = "byteorder";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_int_field[] = "int_field";
static const char __pyx_k_int_float[] = "int|float";
static const char __pyx_k_locations[] = "locations";
static const char __pyx_k_mid_slice[] = "mid_slice";
static const char __pyx_k_out_shape[] = "out_shape";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_ref_shape[] = "ref_shape";
static const char __pyx_k_tolerance[] = "tolerance";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_from_shape[] = "from_shape";
static const char __pyx_k_int_double[] = "int|double";
static const char __pyx_k_iter_count[] = "iter_count";
static const char __pyx_k_long_float[] = "long|float";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_signatures[] = "signatures";
static const char __pyx_k_warp_2d_nn[] = "warp_2d_nn";
static const char __pyx_k_warp_3d_nn[] = "warp_3d_nn";
static const char __pyx_k_zeros_like[] = "zeros_like";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_MemoryError[] = "MemoryError";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_affine_disp[] = "affine_disp";
static const char __pyx_k_float_float[] = "float|float";
static const char __pyx_k_gradient_2d[] = "_gradient_2d";
static const char __pyx_k_gradient_3d[] = "_gradient_3d";
static const char __pyx_k_img_spacing[] = "img_spacing";
static const char __pyx_k_locations_2[] = "_locations";
static const char __pyx_k_long_double[] = "long|double";
static const char __pyx_k_short_float[] = "short|float";
static const char __pyx_k_step_factor[] = "step_factor";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_d_world2grid[] = "d_world2grid";
static const char __pyx_k_double_float[] = "double|float";
static const char __pyx_k_f_contiguous[] = "f_contiguous";
static const char __pyx_k_float_double[] = "float|double";
static const char __pyx_k_premult_disp[] = "premult_disp";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_short_double[] = "short|double";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_time_scaling[] = "time_scaling";
static const char __pyx_k_affine_idx_in[] = "affine_idx_in";
static const char __pyx_k_create_circle[] = "create_circle";
static const char __pyx_k_create_sphere[] = "create_sphere";
static const char __pyx_k_double_double[] = "double|double";
static const char __pyx_k_float_complex[] = "float complex";
static const char __pyx_k_premult_index[] = "premult_index";
static const char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_sample_points[] = "sample_points";
static const char __pyx_k_to_grid2world[] = "to_grid2world";
static const char __pyx_k_affine_idx_out[] = "affine_idx_out";
static const char __pyx_k_double_complex[] = "double complex";
static const char __pyx_k_img_world2grid[] = "img_world2grid";
static const char __pyx_k_out_grid2world[] = "out_grid2world";
static const char __pyx_k_View_MemoryView[] = "View.MemoryView";
static const char __pyx_k_allocate_buffer[] = "allocate_buffer";
static const char __pyx_k_dtype_is_object[] = "dtype_is_object";
static const char __pyx_k_from_grid2world[] = "from_grid2world";
static const char __pyx_k_is_valid_affine[] = "is_valid_affine";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_sparse_gradient[] = "sparse_gradient";
static const char __pyx_k_Invalid_spacings[] = "Invalid spacings";
static const char __pyx_k_pyx_unpickle_Enum[] = "__pyx_unpickle_Enum";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_sparse_gradient_2d[] = "_sparse_gradient_2d";
static const char __pyx_k_sparse_gradient_3d[] = "_sparse_gradient_3d";
static const char __pyx_k_strided_and_direct[] = "<strided and direct>";
static const char __pyx_k_float_complex_float[] = "float complex|float";
static const char __pyx_k_transform_2d_affine[] = "transform_2d_affine";
static const char __pyx_k_transform_3d_affine[] = "transform_3d_affine";
static const char __pyx_k_double_complex_float[] = "double complex|float";
static const char __pyx_k_float_complex_double[] = "float complex|double";
static const char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
static const char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
static const char __pyx_k_double_complex_double[] = "double complex|double";
static const char __pyx_k_interpolate_scalar_2d[] = "interpolate_scalar_2d";
static const char __pyx_k_interpolate_scalar_3d[] = "interpolate_scalar_3d";
static const char __pyx_k_interpolate_vector_2d[] = "interpolate_vector_2d";
static const char __pyx_k_interpolate_vector_3d[] = "interpolate_vector_3d";
static const char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
static const char __pyx_k_transform_2d_affine_nn[] = "transform_2d_affine_nn";
static const char __pyx_k_transform_3d_affine_nn[] = "transform_3d_affine_nn";
static const char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";
static const char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";
static const char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";
static const char __pyx_k_compose_vector_fields_2d[] = "compose_vector_fields_2d";
static const char __pyx_k_compose_vector_fields_3d[] = "compose_vector_fields_3d";
static const char __pyx_k_dipy_align_vector_fields[] = "dipy.align.vector_fields";
static const char __pyx_k_interpolate_scalar_nn_2d[] = "interpolate_scalar_nn_2d";
static const char __pyx_k_interpolate_scalar_nn_3d[] = "interpolate_scalar_nn_3d";
static const char __pyx_k_reorient_vector_field_2d[] = "reorient_vector_field_2d";
static const char __pyx_k_reorient_vector_field_3d[] = "reorient_vector_field_3d";
static const char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";
static const char __pyx_k_create_harmonic_fields_2d[] = "create_harmonic_fields_2d";
static const char __pyx_k_create_harmonic_fields_3d[] = "create_harmonic_fields_3d";
static const char __pyx_k_simplify_warp_function_2d[] = "simplify_warp_function_2d";
static const char __pyx_k_simplify_warp_function_3d[] = "simplify_warp_function_3d";
static const char __pyx_k_downsample_scalar_field_2d[] = "downsample_scalar_field_2d";
static const char __pyx_k_downsample_scalar_field_3d[] = "downsample_scalar_field_3d";
static const char __pyx_k_No_matching_signature_found[] = "No matching signature found";
static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
static const char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static const char __pyx_k_dipy_align_vector_fields_pyx[] = "dipy/align/vector_fields.pyx";
static const char __pyx_k_create_random_displacement_2d[] = "create_random_displacement_2d";
static const char __pyx_k_create_random_displacement_3d[] = "create_random_displacement_3d";
static const char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
static const char __pyx_k_Invalid_image_affine_transform[] = "Invalid image affine transform";
static const char __pyx_k_resample_displacement_field_2d[] = "resample_displacement_field_2d";
static const char __pyx_k_resample_displacement_field_3d[] = "resample_displacement_field_3d";
static const char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
static const char __pyx_k_Invalid_affine_transform_matrix[] = "Invalid affine transform matrix";
static const char __pyx_k_invert_vector_field_fixed_point[] = "invert_vector_field_fixed_point_2d";
static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
static const char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static const char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
static const char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
static const char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
static const char __pyx_k_Expected_at_least_d_argument_s_g[] = "Expected at least %d argument%s, got %d";
static const char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static const char __pyx_k_Function_call_with_ambiguous_arg[] = "Function call with ambiguous argument types";
static const char __pyx_k_Incompatible_checksums_s_vs_0xb0[] = "Incompatible checksums (%s vs 0xb068931 = (name))";
static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
static const char __pyx_k_Invalid_displacement_multiplicat[] = "Invalid displacement multiplication matrix";
static const char __pyx_k_Invalid_displacement_pre_multipl[] = "Invalid displacement pre-multiplication matrix";
static const char __pyx_k_Invalid_from_affine_transform_ma[] = "Invalid 'from' affine transform matrix";
static const char __pyx_k_Invalid_index_multiplication_mat[] = "Invalid index multiplication matrix";
static const char __pyx_k_Invalid_index_pre_multiplication[] = "Invalid index pre-multiplication matrix";
static const char __pyx_k_Invalid_inner_index_multiplicati[] = "Invalid inner index multiplication matrix";
static const char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";
static const char __pyx_k_Invalid_outer_index_multiplicati[] = "Invalid outer index multiplication matrix";
static const char __pyx_k_Invalid_sampling_grid_affine_tra[] = "Invalid sampling grid affine transform";
static const char __pyx_k_Invalid_to_affine_transform_matr[] = "Invalid 'to' affine transform matrix";
static const char __pyx_k_Invalid_world_to_image_transform[] = "Invalid world-to-image transform";
static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";
static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
static const char __pyx_k_Undefined_gradient_for_image_dim[] = "Undefined gradient for image dimension %d";
static const char __pyx_k_downsample_displacement_field_2d[] = "downsample_displacement_field_2d";
static const char __pyx_k_downsample_displacement_field_3d[] = "downsample_displacement_field_3d";
static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";
static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
static const char __pyx_k_invert_vector_field_fixed_point_2[] = "invert_vector_field_fixed_point_3d";
static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static PyObject *__pyx_kp_s_;
static PyObject *__pyx_n_s_ASCII;
static PyObject *__pyx_kp_s_Buffer_view_does_not_expose_stri;
static PyObject *__pyx_kp_s_Can_only_create_a_buffer_that_is;
static PyObject *__pyx_kp_s_Cannot_index_with_type_s;
static PyObject *__pyx_n_s_Ellipsis;
static PyObject *__pyx_kp_s_Empty_shape_tuple_for_cython_arr;
static PyObject *__pyx_kp_s_Expected_at_least_d_argument_s_g;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_kp_s_Function_call_with_ambiguous_arg;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xb0;
static PyObject *__pyx_n_s_IndexError;
static PyObject *__pyx_kp_s_Indirect_dimensions_not_supporte;
static PyObject *__pyx_kp_s_Invalid_affine_transform_matrix;
static PyObject *__pyx_kp_s_Invalid_displacement_multiplicat;
static PyObject *__pyx_kp_s_Invalid_displacement_pre_multipl;
static PyObject *__pyx_kp_s_Invalid_from_affine_transform_ma;
static PyObject *__pyx_kp_s_Invalid_image_affine_transform;
static PyObject *__pyx_kp_s_Invalid_index_multiplication_mat;
static PyObject *__pyx_kp_s_Invalid_index_pre_multiplication;
static PyObject *__pyx_kp_s_Invalid_inner_index_multiplicati;
static PyObject *__pyx_kp_s_Invalid_mode_expected_c_or_fortr;
static PyObject *__pyx_kp_s_Invalid_outer_index_multiplicati;
static PyObject *__pyx_kp_s_Invalid_sampling_grid_affine_tra;
static PyObject *__pyx_kp_s_Invalid_shape_in_axis_d_d;
static PyObject *__pyx_kp_s_Invalid_spacings;
static PyObject *__pyx_kp_s_Invalid_to_affine_transform_matr;
static PyObject *__pyx_kp_s_Invalid_world_to_image_transform;
static PyObject *__pyx_n_s_M;
static PyObject *__pyx_n_s_MemoryError;
static PyObject *__pyx_kp_s_MemoryView_of_r_at_0x_x;
static PyObject *__pyx_kp_s_MemoryView_of_r_object;
static PyObject *__pyx_kp_s_No_matching_signature_found;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_b_O;
static PyObject *__pyx_kp_s_Out_of_bounds_on_buffer_access_a;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_kp_s_Unable_to_convert_item_to_object;
static PyObject *__pyx_kp_s_Undefined_gradient_for_image_dim;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s_View_MemoryView;
static PyObject *__pyx_kp_s__109;
static PyObject *__pyx_kp_s__2;
static PyObject *__pyx_kp_s__3;
static PyObject *__pyx_kp_s__5;
static PyObject *__pyx_n_s_affine;
static PyObject *__pyx_n_s_affine_disp;
static PyObject *__pyx_n_s_affine_idx_in;
static PyObject *__pyx_n_s_affine_idx_out;
static PyObject *__pyx_n_s_all;
static PyObject *__pyx_n_s_allocate_buffer;
static PyObject *__pyx_n_s_alpha;
static PyObject *__pyx_n_s_args;
static PyObject *__pyx_n_s_array;
static PyObject *__pyx_n_s_asarray;
static PyObject *__pyx_n_s_astype;
static PyObject *__pyx_n_s_b;
static PyObject *__pyx_n_s_base;
static PyObject *__pyx_n_s_beta;
static PyObject *__pyx_n_s_byteorder;
static PyObject *__pyx_n_s_c;
static PyObject *__pyx_n_u_c;
static PyObject *__pyx_n_s_calpha;
static PyObject *__pyx_n_s_cbeta;
static PyObject *__pyx_n_s_cgamma;
static PyObject *__pyx_n_s_class;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_cnt;
static PyObject *__pyx_n_s_comp;
static PyObject *__pyx_n_s_compose_vector_fields_2d;
static PyObject *__pyx_n_s_compose_vector_fields_3d;
static PyObject *__pyx_kp_s_contiguous_and_direct;
static PyObject *__pyx_kp_s_contiguous_and_indirect;
static PyObject *__pyx_n_s_create_circle;
static PyObject *__pyx_n_s_create_harmonic_fields_2d;
static PyObject *__pyx_n_s_create_harmonic_fields_3d;
static PyObject *__pyx_n_s_create_random_displacement_2d;
static PyObject *__pyx_n_s_create_random_displacement_3d;
static PyObject *__pyx_n_s_create_sphere;
static PyObject *__pyx_n_s_current;
static PyObject *__pyx_n_s_d;
static PyObject *__pyx_n_s_d1;
static PyObject *__pyx_n_s_d2;
static PyObject *__pyx_n_s_d_world2grid;
static PyObject *__pyx_n_s_defaults;
static PyObject *__pyx_n_s_di;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_s_difmag;
static PyObject *__pyx_n_s_dii;
static PyObject *__pyx_n_s_dim;
static PyObject *__pyx_n_s_dipy_align_vector_fields;
static PyObject *__pyx_kp_s_dipy_align_vector_fields_pyx;
static PyObject *__pyx_n_s_dj;
static PyObject *__pyx_n_s_djj;
static PyObject *__pyx_n_s_dk;
static PyObject *__pyx_n_s_dkk;
static PyObject *__pyx_n_s_dom_size;
static PyObject *__pyx_n_s_double;
static PyObject *__pyx_kp_s_double_complex;
static PyObject *__pyx_kp_s_double_complex_double;
static PyObject *__pyx_kp_s_double_complex_float;
static PyObject *__pyx_kp_s_double_double;
static PyObject *__pyx_kp_s_double_float;
static PyObject *__pyx_n_s_down;
static PyObject *__pyx_n_s_downsample_displacement_field_2d;
static PyObject *__pyx_n_s_downsample_displacement_field_3d;
static PyObject *__pyx_n_s_downsample_scalar_field_2d;
static PyObject *__pyx_n_s_downsample_scalar_field_3d;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_dtype_is_object;
static PyObject *__pyx_n_s_dx;
static PyObject *__pyx_n_s_empty;
static PyObject *__pyx_n_s_encode;
static PyObject *__pyx_n_s_enumerate;
static PyObject *__pyx_n_s_epsilon;
static PyObject *__pyx_n_s_error;
static PyObject *__pyx_n_s_expanded;
static PyObject *__pyx_n_s_f_contiguous;
static PyObject *__pyx_n_s_factors;
static PyObject *__pyx_n_s_field;
static PyObject *__pyx_n_s_flag;
static PyObject *__pyx_n_s_flags;
static PyObject *__pyx_n_s_float;
static PyObject *__pyx_n_s_float64;
static PyObject *__pyx_kp_s_float_complex;
static PyObject *__pyx_kp_s_float_complex_double;
static PyObject *__pyx_kp_s_float_complex_float;
static PyObject *__pyx_kp_s_float_double;
static PyObject *__pyx_kp_s_float_float;
static PyObject *__pyx_n_s_format;
static PyObject *__pyx_n_s_fortran;
static PyObject *__pyx_n_u_fortran;
static PyObject *__pyx_n_s_from_grid2world;
static PyObject *__pyx_n_s_from_shape;
static PyObject *__pyx_n_s_ftype;
static PyObject *__pyx_n_s_gamma;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_kp_s_got_differing_extents_in_dimensi;
static PyObject *__pyx_n_s_gradient;
static PyObject *__pyx_n_s_gradient_2d;
static PyObject *__pyx_n_s_gradient_3d;
static PyObject *__pyx_n_s_h;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_id;
static PyObject *__pyx_n_s_ii;
static PyObject *__pyx_n_s_image;
static PyObject *__pyx_n_s_img;
static PyObject *__pyx_n_s_img_spacing;
static PyObject *__pyx_n_s_img_world2grid;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_in_flag;
static PyObject *__pyx_n_s_inside;
static PyObject *__pyx_n_s_int;
static PyObject *__pyx_n_s_int32;
static PyObject *__pyx_kp_s_int_double;
static PyObject *__pyx_n_s_int_field;
static PyObject *__pyx_kp_s_int_float;
static PyObject *__pyx_n_s_interpolate_scalar_2d;
static PyObject *__pyx_n_s_interpolate_scalar_3d;
static PyObject *__pyx_n_s_interpolate_scalar_nn_2d;
static PyObject *__pyx_n_s_interpolate_scalar_nn_3d;
static PyObject *__pyx_n_s_interpolate_vector_2d;
static PyObject *__pyx_n_s_interpolate_vector_3d;
static PyObject *__pyx_n_s_inv;
static PyObject *__pyx_n_s_invert_vector_field_fixed_point;
static PyObject *__pyx_n_s_invert_vector_field_fixed_point_2;
static PyObject *__pyx_n_s_is_valid_affine;
static PyObject *__pyx_n_s_isfinite;
static PyObject *__pyx_n_s_itemsize;
static PyObject *__pyx_kp_s_itemsize_0_for_cython_array;
static PyObject *__pyx_n_s_iter_count;
static PyObject *__pyx_n_s_j;
static PyObject *__pyx_n_s_jd_grad;
static PyObject *__pyx_n_s_jj;
static PyObject *__pyx_n_s_k;
static PyObject *__pyx_n_s_kind;
static PyObject *__pyx_n_s_kk;
static PyObject *__pyx_n_s_kwargs;
static PyObject *__pyx_n_s_locations;
static PyObject *__pyx_n_s_locations_2;
static PyObject *__pyx_n_s_long;
static PyObject *__pyx_kp_s_long_double;
static PyObject *__pyx_kp_s_long_float;
static PyObject *__pyx_n_s_m;
static PyObject *__pyx_n_s_mag;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_max_iter;
static PyObject *__pyx_n_s_maxlen;
static PyObject *__pyx_n_s_memview;
static PyObject *__pyx_n_s_mid_col;
static PyObject *__pyx_n_s_mid_row;
static PyObject *__pyx_n_s_mid_slice;
static PyObject *__pyx_n_s_mode;
static PyObject *__pyx_n_s_n;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_name_2;
static PyObject *__pyx_n_s_nc;
static PyObject *__pyx_n_s_ncVol;
static PyObject *__pyx_n_s_ncols;
static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous;
static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
static PyObject *__pyx_n_s_ndim;
static PyObject *__pyx_n_s_new;
static PyObject *__pyx_n_s_nnc;
static PyObject *__pyx_n_s_nnr;
static PyObject *__pyx_n_s_nns;
static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
static PyObject *__pyx_n_s_norms;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_nr;
static PyObject *__pyx_n_s_nrVol;
static PyObject *__pyx_n_s_nrows;
static PyObject *__pyx_n_s_ns;
static PyObject *__pyx_n_s_nsVol;
static PyObject *__pyx_n_s_nslices;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_kp_s_numpy_core_multiarray_failed_to;
static PyObject *__pyx_kp_s_numpy_core_umath_failed_to_impor;
static PyObject *__pyx_n_s_obj;
static PyObject *__pyx_n_s_out;
static PyObject *__pyx_n_s_out_grid2world;
static PyObject *__pyx_n_s_out_shape;
static PyObject *__pyx_n_s_output;
static PyObject *__pyx_n_s_p;
static PyObject *__pyx_n_s_pack;
static PyObject *__pyx_n_s_pickle;
static PyObject *__pyx_n_s_premult_disp;
static PyObject *__pyx_n_s_premult_index;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_checksum;
static PyObject *__pyx_n_s_pyx_getbuffer;
static PyObject *__pyx_n_s_pyx_result;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_type;
static PyObject *__pyx_n_s_pyx_unpickle_Enum;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_q;
static PyObject *__pyx_n_s_r;
static PyObject *__pyx_n_s_radius;
static PyObject *__pyx_n_s_randint;
static PyObject *__pyx_n_s_random;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_ref_shape;
static PyObject *__pyx_n_s_reorient_vector_field_2d;
static PyObject *__pyx_n_s_reorient_vector_field_3d;
static PyObject *__pyx_n_s_resample_displacement_field_2d;
static PyObject *__pyx_n_s_resample_displacement_field_3d;
static PyObject *__pyx_n_s_reversed;
static PyObject *__pyx_n_s_ri;
static PyObject *__pyx_n_s_rj;
static PyObject *__pyx_n_s_rk;
static PyObject *__pyx_n_s_s;
static PyObject *__pyx_n_s_sample_points;
static PyObject *__pyx_n_s_sc;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_n_s_short;
static PyObject *__pyx_kp_s_short_double;
static PyObject *__pyx_kp_s_short_float;
static PyObject *__pyx_n_s_signatures;
static PyObject *__pyx_n_s_simplify_warp_function_2d;
static PyObject *__pyx_n_s_simplify_warp_function_3d;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_n_s_spacing;
static PyObject *__pyx_n_s_sparse_gradient;
static PyObject *__pyx_n_s_sparse_gradient_2d;
static PyObject *__pyx_n_s_sparse_gradient_3d;
static PyObject *__pyx_n_s_split;
static PyObject *__pyx_n_s_sr;
static PyObject *__pyx_n_s_ss;
static PyObject *__pyx_n_s_start;
static PyObject *__pyx_n_s_stats;
static PyObject *__pyx_n_s_step;
static PyObject *__pyx_n_s_step_factor;
static PyObject *__pyx_n_s_stop;
static PyObject *__pyx_kp_s_strided_and_direct;
static PyObject *__pyx_kp_s_strided_and_direct_or_indirect;
static PyObject *__pyx_kp_s_strided_and_indirect;
static PyObject *__pyx_n_s_strides;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_strip;
static PyObject *__pyx_n_s_struct;
static PyObject *__pyx_n_s_substats;
static PyObject *__pyx_n_s_tcols;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_theta;
static PyObject *__pyx_n_s_time_scaling;
static PyObject *__pyx_n_s_tmp;
static PyObject *__pyx_n_s_tmp0;
static PyObject *__pyx_n_s_tmp1;
static PyObject *__pyx_n_s_to_grid2world;
static PyObject *__pyx_n_s_to_shape;
static PyObject *__pyx_n_s_tol;
static PyObject *__pyx_n_s_tolerance;
static PyObject *__pyx_n_s_transform_2d_affine;
static PyObject *__pyx_n_s_transform_2d_affine_nn;
static PyObject *__pyx_n_s_transform_3d_affine;
static PyObject *__pyx_n_s_transform_3d_affine_nn;
static PyObject *__pyx_n_s_trows;
static PyObject *__pyx_n_s_tslices;
static PyObject *__pyx_n_s_type;
static PyObject *__pyx_kp_s_unable_to_allocate_array_data;
static PyObject *__pyx_kp_s_unable_to_allocate_shape_and_str;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_unpack;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_volume;
static PyObject *__pyx_n_s_warp_2d;
static PyObject *__pyx_n_s_warp_2d_nn;
static PyObject *__pyx_n_s_warp_3d;
static PyObject *__pyx_n_s_warp_3d_nn;
static PyObject *__pyx_n_s_warped;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_zeros;
static PyObject *__pyx_n_s_zeros_like;
static PyObject *__pyx_n_s_zip;
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_is_valid_affine(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_M, int __pyx_v_dim); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_2interpolate_vector_2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_82interpolate_vector_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_84interpolate_vector_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_4interpolate_scalar_2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_88interpolate_scalar_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_90interpolate_scalar_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_6interpolate_scalar_nn_2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_94interpolate_scalar_nn_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_96interpolate_scalar_nn_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_98interpolate_scalar_nn_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_100interpolate_scalar_nn_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_102interpolate_scalar_nn_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_104interpolate_scalar_nn_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_106interpolate_scalar_nn_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_8interpolate_scalar_nn_3d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_110interpolate_scalar_nn_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_112interpolate_scalar_nn_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_114interpolate_scalar_nn_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_116interpolate_scalar_nn_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_118interpolate_scalar_nn_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_120interpolate_scalar_nn_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_122interpolate_scalar_nn_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_10interpolate_scalar_3d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_126interpolate_scalar_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, PyObject *__pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_128interpolate_scalar_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, PyObject *__pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_12interpolate_vector_3d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_132interpolate_vector_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_134interpolate_vector_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field, __Pyx_memviewslice __pyx_v_locations); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_14compose_vector_fields_2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_138compose_vector_fields_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_d2, __Pyx_memviewslice __pyx_v_premult_index, __Pyx_memviewslice __pyx_v_premult_disp, double __pyx_v_time_scaling, __Pyx_memviewslice __pyx_v_comp); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_140compose_vector_fields_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_d2, __Pyx_memviewslice __pyx_v_premult_index, __Pyx_memviewslice __pyx_v_premult_disp, double __pyx_v_time_scaling, __Pyx_memviewslice __pyx_v_comp); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_16compose_vector_fields_3d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_144compose_vector_fields_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_d2, __Pyx_memviewslice __pyx_v_premult_index, __Pyx_memviewslice __pyx_v_premult_disp, double __pyx_v_time_scaling, __Pyx_memviewslice __pyx_v_comp); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_146compose_vector_fields_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_d2, __Pyx_memviewslice __pyx_v_premult_index, __Pyx_memviewslice __pyx_v_premult_disp, double __pyx_v_time_scaling, __Pyx_memviewslice __pyx_v_comp); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_18invert_vector_field_fixed_point_2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_366__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_150invert_vector_field_fixed_point_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d, __Pyx_memviewslice __pyx_v_d_world2grid, __Pyx_memviewslice __pyx_v_spacing, int __pyx_v_max_iter, double __pyx_v_tolerance, __Pyx_memviewslice __pyx_v_start); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_368__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_152invert_vector_field_fixed_point_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d, __Pyx_memviewslice __pyx_v_d_world2grid, __Pyx_memviewslice __pyx_v_spacing, int __pyx_v_max_iter, double __pyx_v_tolerance, __Pyx_memviewslice __pyx_v_start); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_20invert_vector_field_fixed_point_3d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_374__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_156invert_vector_field_fixed_point_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d, __Pyx_memviewslice __pyx_v_d_world2grid, __Pyx_memviewslice __pyx_v_spacing, int __pyx_v_max_iter, double __pyx_v_tol, __Pyx_memviewslice __pyx_v_start); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_376__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_158invert_vector_field_fixed_point_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d, __Pyx_memviewslice __pyx_v_d_world2grid, __Pyx_memviewslice __pyx_v_spacing, int __pyx_v_max_iter, double __pyx_v_tol, __Pyx_memviewslice __pyx_v_start); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_22simplify_warp_function_2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_162simplify_warp_function_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_164simplify_warp_function_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_24simplify_warp_function_3d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_168simplify_warp_function_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_170simplify_warp_function_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_26reorient_vector_field_2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_174reorient_vector_field_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_176reorient_vector_field_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_28reorient_vector_field_3d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_180reorient_vector_field_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_182reorient_vector_field_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_d, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_30downsample_scalar_field_3d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_186downsample_scalar_field_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_188downsample_scalar_field_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_32downsample_displacement_field_3d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_192downsample_displacement_field_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_194downsample_displacement_field_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_34downsample_scalar_field_2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_198downsample_scalar_field_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_200downsample_scalar_field_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_36downsample_displacement_field_2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_204downsample_displacement_field_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_206downsample_displacement_field_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_38warp_3d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_382__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_210warp_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_384__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_212warp_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_40transform_3d_affine(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_216transform_3d_affine(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_218transform_3d_affine(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_42warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_414__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_222warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_416__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_224warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_418__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_226warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_420__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_228warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_422__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_230warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_424__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_232warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_426__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_234warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_428__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_236warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_430__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_238warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_432__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_240warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_434__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_242warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_436__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_244warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_438__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_246warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_440__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_248warp_3d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_44transform_3d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_456__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_252transform_3d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_458__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_254transform_3d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_460__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_256transform_3d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_462__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_258transform_3d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_464__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_260transform_3d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_466__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_262transform_3d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_468__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_264transform_3d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_volume, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_46warp_2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_474__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_268warp_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_476__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_270warp_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_48transform_2d_affine(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_482__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_274transform_2d_affine(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_484__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_276transform_2d_affine(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_50warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_514__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_280warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_516__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_282warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_518__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_284warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_520__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_286warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_522__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_288warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_524__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_290warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_526__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_292warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_528__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_294warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_530__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_296warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_532__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_298warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_534__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_300warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_536__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_302warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_538__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_304warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_540__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_306warp_2d_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_affine_idx_in, __Pyx_memviewslice __pyx_v_affine_idx_out, __Pyx_memviewslice __pyx_v_affine_disp, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_52transform_2d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_556__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_310transform_2d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_558__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_312transform_2d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_560__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_314transform_2d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_562__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_316transform_2d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_564__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_318transform_2d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_566__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_320transform_2d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_568__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_322transform_2d_affine_nn(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_image, __Pyx_memviewslice __pyx_v_ref_shape, __Pyx_memviewslice __pyx_v_affine); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_54resample_displacement_field_3d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_326resample_displacement_field_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field, __Pyx_memviewslice __pyx_v_factors, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_328resample_displacement_field_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field, __Pyx_memviewslice __pyx_v_factors, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_56resample_displacement_field_2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_332resample_displacement_field_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field, __Pyx_memviewslice __pyx_v_factors, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_334resample_displacement_field_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_field, __Pyx_memviewslice __pyx_v_factors, __Pyx_memviewslice __pyx_v_out_shape); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_58create_random_displacement_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_from_shape, __Pyx_memviewslice __pyx_v_from_grid2world, __Pyx_memviewslice __pyx_v_to_shape, __Pyx_memviewslice __pyx_v_to_grid2world); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_60create_random_displacement_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_from_shape, __Pyx_memviewslice __pyx_v_from_grid2world, __Pyx_memviewslice __pyx_v_to_shape, __Pyx_memviewslice __pyx_v_to_grid2world); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_62create_harmonic_fields_2d(CYTHON_UNUSED PyObject *__pyx_self, npy_intp __pyx_v_nrows, npy_intp __pyx_v_ncols, double __pyx_v_b, double __pyx_v_m); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_64create_harmonic_fields_3d(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_nslices, npy_intp __pyx_v_nrows, npy_intp __pyx_v_ncols, double __pyx_v_b, double __pyx_v_m); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_66create_circle(CYTHON_UNUSED PyObject *__pyx_self, npy_intp __pyx_v_nrows, npy_intp __pyx_v_ncols, npy_intp __pyx_v_radius); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_68create_sphere(CYTHON_UNUSED PyObject *__pyx_self, npy_intp __pyx_v_nslices, npy_intp __pyx_v_nrows, npy_intp __pyx_v_ncols, npy_intp __pyx_v_radius); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_70_gradient_3d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_338_gradient_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_img, __Pyx_memviewslice __pyx_v_img_world2grid, __Pyx_memviewslice __pyx_v_img_spacing, __Pyx_memviewslice __pyx_v_out_grid2world, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_inside); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_340_gradient_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_img, __Pyx_memviewslice __pyx_v_img_world2grid, __Pyx_memviewslice __pyx_v_img_spacing, __Pyx_memviewslice __pyx_v_out_grid2world, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_inside); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_72_sparse_gradient_3d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_344_sparse_gradient_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_img, __Pyx_memviewslice __pyx_v_img_world2grid, __Pyx_memviewslice __pyx_v_img_spacing, __Pyx_memviewslice __pyx_v_sample_points, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_inside); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_346_sparse_gradient_3d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_img, __Pyx_memviewslice __pyx_v_img_world2grid, __Pyx_memviewslice __pyx_v_img_spacing, __Pyx_memviewslice __pyx_v_sample_points, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_inside); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_74_gradient_2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_350_gradient_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_img, __Pyx_memviewslice __pyx_v_img_world2grid, __Pyx_memviewslice __pyx_v_img_spacing, __Pyx_memviewslice __pyx_v_out_grid2world, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_inside); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_352_gradient_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_img, __Pyx_memviewslice __pyx_v_img_world2grid, __Pyx_memviewslice __pyx_v_img_spacing, __Pyx_memviewslice __pyx_v_out_grid2world, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_inside); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_76_sparse_gradient_2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_356_sparse_gradient_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_img, __Pyx_memviewslice __pyx_v_img_world2grid, __Pyx_memviewslice __pyx_v_img_spacing, __Pyx_memviewslice __pyx_v_sample_points, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_inside); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_358_sparse_gradient_2d(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_img, __Pyx_memviewslice __pyx_v_img_world2grid, __Pyx_memviewslice __pyx_v_img_spacing, __Pyx_memviewslice __pyx_v_sample_points, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_inside); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_78gradient(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_img, PyObject *__pyx_v_img_world2grid, PyObject *__pyx_v_img_spacing, PyObject *__pyx_v_out_shape, PyObject *__pyx_v_out_grid2world); /* proto */
static PyObject *__pyx_pf_4dipy_5align_13vector_fields_80sparse_gradient(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_img, PyObject *__pyx_v_img_world2grid, PyObject *__pyx_v_img_spacing, PyObject *__pyx_v_sample_points); /* proto */
static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum___reduce_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum_2__setstate_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */
static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_8itemsize___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_6nbytes___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4size___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_10__len__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_16is_c_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_20copy(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_22copy_fortran(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryview___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryview_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static void __pyx_memoryviewslice___pyx_pf_15View_dot_MemoryView_16_memoryviewslice___dealloc__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_16_memoryviewslice_4base___get__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryviewslice___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryviewslice_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView___pyx_unpickle_Enum(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_2;
static PyObject *__pyx_int_3;
static PyObject *__pyx_int_5;
static PyObject *__pyx_int_6;
static PyObject *__pyx_int_184977713;
static PyObject *__pyx_int_neg_1;
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static PyObject *__pyx_k__208;
static PyObject *__pyx_k__220;
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static PyObject *__pyx_k__241;
static PyObject *__pyx_k__242;
static PyObject *__pyx_k__303;
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 *         int inside
 *     if((dii <= -1) or (djj <= -1) or (dii >= nr) or (djj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         out[1] = 0
 *         return 0
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":99
 *     if((dii <= -1) or (djj <= -1) or (dii >= nr) or (djj >= nc)):
 *         out[0] = 0
 *         out[1] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # ---top-left
 */
    (__pyx_v_out[1]) = 0.0;

    /* "dipy/align/vector_fields.pyx":100
 *         out[0] = 0
 *         out[1] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # ---top-left
 *     ii = <int>floor(dii)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":97
 *         double alpha, beta, calpha, cbeta
 *         int inside
 *     if((dii <= -1) or (djj <= -1) or (dii >= nr) or (djj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         out[1] = 0
 */
  }

  /* "dipy/align/vector_fields.pyx":102
 *         return 0
 *     # ---top-left
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 * 
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":103
 *     # ---top-left
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 * 
 *     calpha = dii - ii
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":105
 *     jj = <int>floor(djj)
 * 
 *     calpha = dii - ii             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":106
 * 
 *     calpha = dii - ii
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":107
 *     calpha = dii - ii
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 * 
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":108
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 * 
 *     inside = 0
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":110
 *     beta = 1 - cbeta
 * 
 *     inside = 0             # <<<<<<<<<<<<<<
 *     if (ii >= 0) and (jj >= 0):
 *         out[0] = alpha * beta * field[ii, jj, 0]
 */
  __pyx_v_inside = 0;

  /* "dipy/align/vector_fields.pyx":111
 * 
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * field[ii, jj, 0]
 *         out[1] = alpha * beta * field[ii, jj, 1]
 */
  __pyx_t_2 = ((__pyx_v_ii >= 0) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= 0) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L9_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":112
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0):
 *         out[0] = alpha * beta * field[ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] = alpha * beta * field[ii, jj, 1]
 *         inside += 1
 */
    __pyx_t_3 = __pyx_v_ii;
    __pyx_t_4 = __pyx_v_jj;
    __pyx_t_5 = 0;
    (__pyx_v_out[0]) = ((__pyx_v_alpha * __pyx_v_beta) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_3 * __pyx_v_field.strides[0]) ) + __pyx_t_4 * __pyx_v_field.strides[1]) ) + __pyx_t_5 * __pyx_v_field.strides[2]) ))));

    /* "dipy/align/vector_fields.pyx":113
 *     if (ii >= 0) and (jj >= 0):
 *         out[0] = alpha * beta * field[ii, jj, 0]
 *         out[1] = alpha * beta * field[ii, jj, 1]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     else:
 */
    __pyx_t_6 = __pyx_v_ii;
    __pyx_t_7 = __pyx_v_jj;
    __pyx_t_8 = 1;
    (__pyx_v_out[1]) = ((__pyx_v_alpha * __pyx_v_beta) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_6 * __pyx_v_field.strides[0]) ) + __pyx_t_7 * __pyx_v_field.strides[1]) ) + __pyx_t_8 * __pyx_v_field.strides[2]) ))));

    /* "dipy/align/vector_fields.pyx":114
 *         out[0] = alpha * beta * field[ii, jj, 0]
 *         out[1] = alpha * beta * field[ii, jj, 1]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     else:
 *         out[0] = 0
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":111
 * 
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * field[ii, jj, 0]
 *         out[1] = alpha * beta * field[ii, jj, 1]
 */
    goto __pyx_L8;
  }

  /* "dipy/align/vector_fields.pyx":116
 *         inside += 1
 *     else:
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         out[1] = 0
 *     # ---top-right
 */
  /*else*/ {
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":117
 *     else:
 *         out[0] = 0
 *         out[1] = 0             # <<<<<<<<<<<<<<
 *     # ---top-right
 *     jj += 1
 */
    (__pyx_v_out[1]) = 0.0;
  }
  __pyx_L8:;

  /* "dipy/align/vector_fields.pyx":119
 *         out[1] = 0
 *     # ---top-right
 *     jj += 1             # <<<<<<<<<<<<<<
 *     if (jj < nc) and (ii >= 0):
 *         out[0] += alpha * cbeta * field[ii, jj, 0]
 */
  __pyx_v_jj = (__pyx_v_jj + 1);

  /* "dipy/align/vector_fields.pyx":120
 *     # ---top-right
 *     jj += 1
 *     if (jj < nc) and (ii >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * field[ii, jj, 0]
 *         out[1] += alpha * cbeta * field[ii, jj, 1]
 */
  __pyx_t_2 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L12_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= 0) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L12_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":121
 *     jj += 1
 *     if (jj < nc) and (ii >= 0):
 *         out[0] += alpha * cbeta * field[ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] += alpha * cbeta * field[ii, jj, 1]
 *         inside += 1
 */
    __pyx_t_9 = 0;
    __pyx_t_10 = __pyx_v_ii;
    __pyx_t_11 = __pyx_v_jj;
    __pyx_t_12 = 0;
    (__pyx_v_out[__pyx_t_9]) = ((__pyx_v_out[__pyx_t_9]) + ((__pyx_v_alpha * __pyx_v_cbeta) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_10 * __pyx_v_field.strides[0]) ) + __pyx_t_11 * __pyx_v_field.strides[1]) ) + __pyx_t_12 * __pyx_v_field.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":122
 *     if (jj < nc) and (ii >= 0):
 *         out[0] += alpha * cbeta * field[ii, jj, 0]
 *         out[1] += alpha * cbeta * field[ii, jj, 1]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-right
 */
    __pyx_t_9 = 1;
    __pyx_t_13 = __pyx_v_ii;
    __pyx_t_14 = __pyx_v_jj;
    __pyx_t_15 = 1;
    (__pyx_v_out[__pyx_t_9]) = ((__pyx_v_out[__pyx_t_9]) + ((__pyx_v_alpha * __pyx_v_cbeta) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_13 * __pyx_v_field.strides[0]) ) + __pyx_t_14 * __pyx_v_field.strides[1]) ) + __pyx_t_15 * __pyx_v_field.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":123
 *         out[0] += alpha * cbeta * field[ii, jj, 0]
 *         out[1] += alpha * cbeta * field[ii, jj, 1]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-right
 *     ii += 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":120
 *     # ---top-right
 *     jj += 1
 *     if (jj < nc) and (ii >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * field[ii, jj, 0]
 *         out[1] += alpha * cbeta * field[ii, jj, 1]
 */
  }

  /* "dipy/align/vector_fields.pyx":125
 *         inside += 1
 *     # ---bottom-right
 *     ii += 1             # <<<<<<<<<<<<<<
 *     if (jj < nc) and (ii < nr):
 *         out[0] += calpha * cbeta * field[ii, jj, 0]
 */
  __pyx_v_ii = (__pyx_v_ii + 1);

  /* "dipy/align/vector_fields.pyx":126
 *     # ---bottom-right
 *     ii += 1
 *     if (jj < nc) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * field[ii, jj, 0]
 *         out[1] += calpha * cbeta * field[ii, jj, 1]
 */
  __pyx_t_2 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L15_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":127
 *     ii += 1
 *     if (jj < nc) and (ii < nr):
 *         out[0] += calpha * cbeta * field[ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] += calpha * cbeta * field[ii, jj, 1]
 *         inside += 1
 */
    __pyx_t_9 = 0;
    __pyx_t_16 = __pyx_v_ii;
    __pyx_t_17 = __pyx_v_jj;
    __pyx_t_18 = 0;
    (__pyx_v_out[__pyx_t_9]) = ((__pyx_v_out[__pyx_t_9]) + ((__pyx_v_calpha * __pyx_v_cbeta) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_16 * __pyx_v_field.strides[0]) ) + __pyx_t_17 * __pyx_v_field.strides[1]) ) + __pyx_t_18 * __pyx_v_field.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":128
 *     if (jj < nc) and (ii < nr):
 *         out[0] += calpha * cbeta * field[ii, jj, 0]
 *         out[1] += calpha * cbeta * field[ii, jj, 1]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-left
 */
    __pyx_t_9 = 1;
    __pyx_t_19 = __pyx_v_ii;
    __pyx_t_20 = __pyx_v_jj;
    __pyx_t_21 = 1;
    (__pyx_v_out[__pyx_t_9]) = ((__pyx_v_out[__pyx_t_9]) + ((__pyx_v_calpha * __pyx_v_cbeta) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_19 * __pyx_v_field.strides[0]) ) + __pyx_t_20 * __pyx_v_field.strides[1]) ) + __pyx_t_21 * __pyx_v_field.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":129
 *         out[0] += calpha * cbeta * field[ii, jj, 0]
 *         out[1] += calpha * cbeta * field[ii, jj, 1]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-left
 *     jj -= 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":126
 *     # ---bottom-right
 *     ii += 1
 *     if (jj < nc) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * field[ii, jj, 0]
 *         out[1] += calpha * cbeta * field[ii, jj, 1]
 */
  }

  /* "dipy/align/vector_fields.pyx":131
 *         inside += 1
 *     # ---bottom-left
 *     jj -= 1             # <<<<<<<<<<<<<<
 *     if (jj >= 0) and (ii < nr):
 *         out[0] += calpha * beta * field[ii, jj, 0]
 */
  __pyx_v_jj = (__pyx_v_jj - 1);

  /* "dipy/align/vector_fields.pyx":132
 *     # ---bottom-left
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * field[ii, jj, 0]
 *         out[1] += calpha * beta * field[ii, jj, 1]
 */
  __pyx_t_2 = ((__pyx_v_jj >= 0) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L18_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L18_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":133
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr):
 *         out[0] += calpha * beta * field[ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] += calpha * beta * field[ii, jj, 1]
 *         inside += 1
 */
    __pyx_t_9 = 0;
    __pyx_t_22 = __pyx_v_ii;
    __pyx_t_23 = __pyx_v_jj;
    __pyx_t_24 = 0;
    (__pyx_v_out[__pyx_t_9]) = ((__pyx_v_out[__pyx_t_9]) + ((__pyx_v_calpha * __pyx_v_beta) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_22 * __pyx_v_field.strides[0]) ) + __pyx_t_23 * __pyx_v_field.strides[1]) ) + __pyx_t_24 * __pyx_v_field.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":134
 *     if (jj >= 0) and (ii < nr):
 *         out[0] += calpha * beta * field[ii, jj, 0]
 *         out[1] += calpha * beta * field[ii, jj, 1]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     return 1 if inside == 4 else 0
 */
    __pyx_t_9 = 1;
    __pyx_t_25 = __pyx_v_ii;
    __pyx_t_26 = __pyx_v_jj;
    __pyx_t_27 = 1;
    (__pyx_v_out[__pyx_t_9]) = ((__pyx_v_out[__pyx_t_9]) + ((__pyx_v_calpha * __pyx_v_beta) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_25 * __pyx_v_field.strides[0]) ) + __pyx_t_26 * __pyx_v_field.strides[1]) ) + __pyx_t_27 * __pyx_v_field.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":135
 *         out[0] += calpha * beta * field[ii, jj, 0]
 *         out[1] += calpha * beta * field[ii, jj, 1]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     return 1 if inside == 4 else 0
 * 
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":132
 *     # ---bottom-left
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * field[ii, jj, 0]
 *         out[1] += calpha * beta * field[ii, jj, 1]
 */
  }

  /* "dipy/align/vector_fields.pyx":136
 *         out[1] += calpha * beta * field[ii, jj, 1]
 *         inside += 1
 *     return 1 if inside == 4 else 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  if (((__pyx_v_inside == 4) != 0)) {
    __pyx_t_28 = 1;
  } else {
    __pyx_t_28 = 0;
  }
  __pyx_r = __pyx_t_28;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":66
 * 
 * 
 * cdef inline int _interpolate_vector_2d(floating[:, :, :] field, double dii,             # <<<<<<<<<<<<<<
 *                                        double djj, floating *out) nogil:
 *     r"""Bilinear interpolation of a 2D vector field
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_vector_2d(__Pyx_memviewslice __pyx_v_field, double __pyx_v_dii, double __pyx_v_djj, double *__pyx_v_out) {
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  int __pyx_v_inside;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  Py_ssize_t __pyx_t_7;
  Py_ssize_t __pyx_t_8;
  long __pyx_t_9;
  Py_ssize_t __pyx_t_10;
  Py_ssize_t __pyx_t_11;
  Py_ssize_t __pyx_t_12;
  Py_ssize_t __pyx_t_13;
  Py_ssize_t __pyx_t_14;
  Py_ssize_t __pyx_t_15;
  Py_ssize_t __pyx_t_16;
  Py_ssize_t __pyx_t_17;
  Py_ssize_t __pyx_t_18;
  Py_ssize_t __pyx_t_19;
  Py_ssize_t __pyx_t_20;
  Py_ssize_t __pyx_t_21;
  Py_ssize_t __pyx_t_22;
  Py_ssize_t __pyx_t_23;
  Py_ssize_t __pyx_t_24;
  Py_ssize_t __pyx_t_25;
  Py_ssize_t __pyx_t_26;
  Py_ssize_t __pyx_t_27;
  int __pyx_t_28;

  /* "dipy/align/vector_fields.pyx":92
 *     """
 *     cdef:
 *         cnp.npy_intp nr = field.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = field.shape[1]
 *         cnp.npy_intp ii, jj
 */
  __pyx_v_nr = (__pyx_v_field.shape[0]);

  /* "dipy/align/vector_fields.pyx":93
 *     cdef:
 *         cnp.npy_intp nr = field.shape[0]
 *         cnp.npy_intp nc = field.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 */
  __pyx_v_nc = (__pyx_v_field.shape[1]);

  /* "dipy/align/vector_fields.pyx":97
 *         double alpha, beta, calpha, cbeta
 *         int inside
 *     if((dii <= -1) or (djj <= -1) or (dii >= nr) or (djj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         out[1] = 0
 */
  __pyx_t_2 = ((__pyx_v_dii <= -1.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj <= -1.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_dii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L4_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":98
 *         int inside
 *     if((dii <= -1) or (djj <= -1) or (dii >= nr) or (djj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         out[1] = 0
 *         return 0
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":99
 *     if((dii <= -1) or (djj <= -1) or (dii >= nr) or (djj >= nc)):
 *         out[0] = 0
 *         out[1] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # ---top-left
 */
    (__pyx_v_out[1]) = 0.0;

    /* "dipy/align/vector_fields.pyx":100
 *         out[0] = 0
 *         out[1] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # ---top-left
 *     ii = <int>floor(dii)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":97
 *         double alpha, beta, calpha, cbeta
 *         int inside
 *     if((dii <= -1) or (djj <= -1) or (dii >= nr) or (djj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         out[1] = 0
 */
  }

  /* "dipy/align/vector_fields.pyx":102
 *         return 0
 *     # ---top-left
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 * 
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":103
 *     # ---top-left
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 * 
 *     calpha = dii - ii
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":105
 *     jj = <int>floor(djj)
 * 
 *     calpha = dii - ii             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":106
 * 
 *     calpha = dii - ii
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":107
 *     calpha = dii - ii
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 * 
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":108
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 * 
 *     inside = 0
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":110
 *     beta = 1 - cbeta
 * 
 *     inside = 0             # <<<<<<<<<<<<<<
 *     if (ii >= 0) and (jj >= 0):
 *         out[0] = alpha * beta * field[ii, jj, 0]
 */
  __pyx_v_inside = 0;

  /* "dipy/align/vector_fields.pyx":111
 * 
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * field[ii, jj, 0]
 *         out[1] = alpha * beta * field[ii, jj, 1]
 */
  __pyx_t_2 = ((__pyx_v_ii >= 0) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= 0) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L9_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":112
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0):
 *         out[0] = alpha * beta * field[ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] = alpha * beta * field[ii, jj, 1]
 *         inside += 1
 */
    __pyx_t_3 = __pyx_v_ii;
    __pyx_t_4 = __pyx_v_jj;
    __pyx_t_5 = 0;
    (__pyx_v_out[0]) = ((__pyx_v_alpha * __pyx_v_beta) * (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_3 * __pyx_v_field.strides[0]) ) + __pyx_t_4 * __pyx_v_field.strides[1]) ) + __pyx_t_5 * __pyx_v_field.strides[2]) ))));

    /* "dipy/align/vector_fields.pyx":113
 *     if (ii >= 0) and (jj >= 0):
 *         out[0] = alpha * beta * field[ii, jj, 0]
 *         out[1] = alpha * beta * field[ii, jj, 1]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     else:
 */
    __pyx_t_6 = __pyx_v_ii;
    __pyx_t_7 = __pyx_v_jj;
    __pyx_t_8 = 1;
    (__pyx_v_out[1]) = ((__pyx_v_alpha * __pyx_v_beta) * (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_6 * __pyx_v_field.strides[0]) ) + __pyx_t_7 * __pyx_v_field.strides[1]) ) + __pyx_t_8 * __pyx_v_field.strides[2]) ))));

    /* "dipy/align/vector_fields.pyx":114
 *         out[0] = alpha * beta * field[ii, jj, 0]
 *         out[1] = alpha * beta * field[ii, jj, 1]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     else:
 *         out[0] = 0
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":111
 * 
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * field[ii, jj, 0]
 *         out[1] = alpha * beta * field[ii, jj, 1]
 */
    goto __pyx_L8;
  }

  /* "dipy/align/vector_fields.pyx":116
 *         inside += 1
 *     else:
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         out[1] = 0
 *     # ---top-right
 */
  /*else*/ {
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":117
 *     else:
 *         out[0] = 0
 *         out[1] = 0             # <<<<<<<<<<<<<<
 *     # ---top-right
 *     jj += 1
 */
    (__pyx_v_out[1]) = 0.0;
  }
  __pyx_L8:;

  /* "dipy/align/vector_fields.pyx":119
 *         out[1] = 0
 *     # ---top-right
 *     jj += 1             # <<<<<<<<<<<<<<
 *     if (jj < nc) and (ii >= 0):
 *         out[0] += alpha * cbeta * field[ii, jj, 0]
 */
  __pyx_v_jj = (__pyx_v_jj + 1);

  /* "dipy/align/vector_fields.pyx":120
 *     # ---top-right
 *     jj += 1
 *     if (jj < nc) and (ii >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * field[ii, jj, 0]
 *         out[1] += alpha * cbeta * field[ii, jj, 1]
 */
  __pyx_t_2 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L12_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= 0) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L12_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":121
 *     jj += 1
 *     if (jj < nc) and (ii >= 0):
 *         out[0] += alpha * cbeta * field[ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] += alpha * cbeta * field[ii, jj, 1]
 *         inside += 1
 */
    __pyx_t_9 = 0;
    __pyx_t_10 = __pyx_v_ii;
    __pyx_t_11 = __pyx_v_jj;
    __pyx_t_12 = 0;
    (__pyx_v_out[__pyx_t_9]) = ((__pyx_v_out[__pyx_t_9]) + ((__pyx_v_alpha * __pyx_v_cbeta) * (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_10 * __pyx_v_field.strides[0]) ) + __pyx_t_11 * __pyx_v_field.strides[1]) ) + __pyx_t_12 * __pyx_v_field.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":122
 *     if (jj < nc) and (ii >= 0):
 *         out[0] += alpha * cbeta * field[ii, jj, 0]
 *         out[1] += alpha * cbeta * field[ii, jj, 1]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-right
 */
    __pyx_t_9 = 1;
    __pyx_t_13 = __pyx_v_ii;
    __pyx_t_14 = __pyx_v_jj;
    __pyx_t_15 = 1;
    (__pyx_v_out[__pyx_t_9]) = ((__pyx_v_out[__pyx_t_9]) + ((__pyx_v_alpha * __pyx_v_cbeta) * (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_13 * __pyx_v_field.strides[0]) ) + __pyx_t_14 * __pyx_v_field.strides[1]) ) + __pyx_t_15 * __pyx_v_field.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":123
 *         out[0] += alpha * cbeta * field[ii, jj, 0]
 *         out[1] += alpha * cbeta * field[ii, jj, 1]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-right
 *     ii += 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":120
 *     # ---top-right
 *     jj += 1
 *     if (jj < nc) and (ii >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * field[ii, jj, 0]
 *         out[1] += alpha * cbeta * field[ii, jj, 1]
 */
  }

  /* "dipy/align/vector_fields.pyx":125
 *         inside += 1
 *     # ---bottom-right
 *     ii += 1             # <<<<<<<<<<<<<<
 *     if (jj < nc) and (ii < nr):
 *         out[0] += calpha * cbeta * field[ii, jj, 0]
 */
  __pyx_v_ii = (__pyx_v_ii + 1);

  /* "dipy/align/vector_fields.pyx":126
 *     # ---bottom-right
 *     ii += 1
 *     if (jj < nc) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * field[ii, jj, 0]
 *         out[1] += calpha * cbeta * field[ii, jj, 1]
 */
  __pyx_t_2 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L15_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":127
 *     ii += 1
 *     if (jj < nc) and (ii < nr):
 *         out[0] += calpha * cbeta * field[ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] += calpha * cbeta * field[ii, jj, 1]
 *         inside += 1
 */
    __pyx_t_9 = 0;
    __pyx_t_16 = __pyx_v_ii;
    __pyx_t_17 = __pyx_v_jj;
    __pyx_t_18 = 0;
    (__pyx_v_out[__pyx_t_9]) = ((__pyx_v_out[__pyx_t_9]) + ((__pyx_v_calpha * __pyx_v_cbeta) * (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_16 * __pyx_v_field.strides[0]) ) + __pyx_t_17 * __pyx_v_field.strides[1]) ) + __pyx_t_18 * __pyx_v_field.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":128
 *     if (jj < nc) and (ii < nr):
 *         out[0] += calpha * cbeta * field[ii, jj, 0]
 *         out[1] += calpha * cbeta * field[ii, jj, 1]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-left
 */
    __pyx_t_9 = 1;
    __pyx_t_19 = __pyx_v_ii;
    __pyx_t_20 = __pyx_v_jj;
    __pyx_t_21 = 1;
    (__pyx_v_out[__pyx_t_9]) = ((__pyx_v_out[__pyx_t_9]) + ((__pyx_v_calpha * __pyx_v_cbeta) * (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_19 * __pyx_v_field.strides[0]) ) + __pyx_t_20 * __pyx_v_field.strides[1]) ) + __pyx_t_21 * __pyx_v_field.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":129
 *         out[0] += calpha * cbeta * field[ii, jj, 0]
 *         out[1] += calpha * cbeta * field[ii, jj, 1]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-left
 *     jj -= 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":126
 *     # ---bottom-right
 *     ii += 1
 *     if (jj < nc) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * field[ii, jj, 0]
 *         out[1] += calpha * cbeta * field[ii, jj, 1]
 */
  }

  /* "dipy/align/vector_fields.pyx":131
 *         inside += 1
 *     # ---bottom-left
 *     jj -= 1             # <<<<<<<<<<<<<<
 *     if (jj >= 0) and (ii < nr):
 *         out[0] += calpha * beta * field[ii, jj, 0]
 */
  __pyx_v_jj = (__pyx_v_jj - 1);

  /* "dipy/align/vector_fields.pyx":132
 *     # ---bottom-left
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * field[ii, jj, 0]
 *         out[1] += calpha * beta * field[ii, jj, 1]
 */
  __pyx_t_2 = ((__pyx_v_jj >= 0) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L18_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L18_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":133
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr):
 *         out[0] += calpha * beta * field[ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] += calpha * beta * field[ii, jj, 1]
 *         inside += 1
 */
    __pyx_t_9 = 0;
    __pyx_t_22 = __pyx_v_ii;
    __pyx_t_23 = __pyx_v_jj;
    __pyx_t_24 = 0;
    (__pyx_v_out[__pyx_t_9]) = ((__pyx_v_out[__pyx_t_9]) + ((__pyx_v_calpha * __pyx_v_beta) * (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_22 * __pyx_v_field.strides[0]) ) + __pyx_t_23 * __pyx_v_field.strides[1]) ) + __pyx_t_24 * __pyx_v_field.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":134
 *     if (jj >= 0) and (ii < nr):
 *         out[0] += calpha * beta * field[ii, jj, 0]
 *         out[1] += calpha * beta * field[ii, jj, 1]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     return 1 if inside == 4 else 0
 */
    __pyx_t_9 = 1;
    __pyx_t_25 = __pyx_v_ii;
    __pyx_t_26 = __pyx_v_jj;
    __pyx_t_27 = 1;
    (__pyx_v_out[__pyx_t_9]) = ((__pyx_v_out[__pyx_t_9]) + ((__pyx_v_calpha * __pyx_v_beta) * (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_25 * __pyx_v_field.strides[0]) ) + __pyx_t_26 * __pyx_v_field.strides[1]) ) + __pyx_t_27 * __pyx_v_field.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":135
 *         out[0] += calpha * beta * field[ii, jj, 0]
 *         out[1] += calpha * beta * field[ii, jj, 1]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     return 1 if inside == 4 else 0
 * 
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":132
 *     # ---bottom-left
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * field[ii, jj, 0]
 *         out[1] += calpha * beta * field[ii, jj, 1]
 */
  }

  /* "dipy/align/vector_fields.pyx":136
 *         out[1] += calpha * beta * field[ii, jj, 1]
 *         inside += 1
 *     return 1 if inside == 4 else 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  if (((__pyx_v_inside == 4) != 0)) {
    __pyx_t_28 = 1;
  } else {
    __pyx_t_28 = 0;
  }
  __pyx_r = __pyx_t_28;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":66
 * 
 * 
 * cdef inline int _interpolate_vector_2d(floating[:, :, :] field, double dii,             # <<<<<<<<<<<<<<
 *                                        double djj, floating *out) nogil:
 *     r"""Bilinear interpolation of a 2D vector field
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "dipy/align/vector_fields.pyx":139
 * 
 * 
 * def interpolate_scalar_2d(floating[:, :] image, double[:, :] locations):             # <<<<<<<<<<<<<<
 *     r"""Bilinear interpolation of a 2D scalar image
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_4dipy_5align_13vector_fields_5interpolate_scalar_2d(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_4dipy_5align_13vector_fields_4interpolate_scalar_2d[] = "Bilinear interpolation of a 2D scalar image\n\n    Interpolates the 2D image at the given locations. This function is\n    a wrapper for _interpolate_scalar_2d for testing purposes, it is\n    equivalent to scipy.ndimage.interpolation.map_coordinates with\n    bilinear interpolation\n\n    Parameters\n    ----------\n    field : array, shape (S, R)\n        the 2D image to be interpolated\n    locations : array, shape (n, 2)\n        (locations[i,0], locations[i,1]), 0<=i<n must contain the row and\n        column coordinates to interpolate the image at\n\n    Returns\n    -------\n    out : array, shape (n,)\n        out[i], 0<=i<n will be the interpolated scalar at coordinates\n        locations[i,:], or 0 if locations[i,:] is outside the image\n    inside : array, (n,)\n        if locations[i:] is inside the image then inside[i]=1, else\n        inside[i]=0\n    ";
static PyMethodDef __pyx_mdef_4dipy_5align_13vector_fields_5interpolate_scalar_2d = {"interpolate_scalar_2d", (PyCFunction)__pyx_pw_4dipy_5align_13vector_fields_5interpolate_scalar_2d, METH_VARARGS|METH_KEYWORDS, __pyx_doc_4dipy_5align_13vector_fields_4interpolate_scalar_2d};
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 */
    __pyx_t_5 = 0;
    __pyx_t_6 = __pyx_v_ii;
    __pyx_t_7 = __pyx_v_jj;
    (__pyx_v_out[__pyx_t_5]) = ((__pyx_v_out[__pyx_t_5]) + ((__pyx_v_alpha * __pyx_v_cbeta) * (*((float *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_image.data + __pyx_t_6 * __pyx_v_image.strides[0]) ) + __pyx_t_7 * __pyx_v_image.strides[1]) )))));

    /* "dipy/align/vector_fields.pyx":229
 *     if (jj < nc) and (ii >= 0):
 *         out[0] += alpha * cbeta * image[ii, jj]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-right
 *     ii += 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":227
 *     # ---top-right
 *     jj += 1
 *     if (jj < nc) and (ii >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * image[ii, jj]
 *         inside += 1
 */
  }

  /* "dipy/align/vector_fields.pyx":231
 *         inside += 1
 *     # ---bottom-right
 *     ii += 1             # <<<<<<<<<<<<<<
 *     if (jj < nc) and (ii < nr):
 *         out[0] += calpha * cbeta * image[ii, jj]
 */
  __pyx_v_ii = (__pyx_v_ii + 1);

  /* "dipy/align/vector_fields.pyx":232
 *     # ---bottom-right
 *     ii += 1
 *     if (jj < nc) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * image[ii, jj]
 *         inside += 1
 */
  __pyx_t_2 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L15_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":233
 *     ii += 1
 *     if (jj < nc) and (ii < nr):
 *         out[0] += calpha * cbeta * image[ii, jj]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-left
 */
    __pyx_t_5 = 0;
    __pyx_t_8 = __pyx_v_ii;
    __pyx_t_9 = __pyx_v_jj;
    (__pyx_v_out[__pyx_t_5]) = ((__pyx_v_out[__pyx_t_5]) + ((__pyx_v_calpha * __pyx_v_cbeta) * (*((float *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_image.data + __pyx_t_8 * __pyx_v_image.strides[0]) ) + __pyx_t_9 * __pyx_v_image.strides[1]) )))));

    /* "dipy/align/vector_fields.pyx":234
 *     if (jj < nc) and (ii < nr):
 *         out[0] += calpha * cbeta * image[ii, jj]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-left
 *     jj -= 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":232
 *     # ---bottom-right
 *     ii += 1
 *     if (jj < nc) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * image[ii, jj]
 *         inside += 1
 */
  }

  /* "dipy/align/vector_fields.pyx":236
 *         inside += 1
 *     # ---bottom-left
 *     jj -= 1             # <<<<<<<<<<<<<<
 *     if (jj >= 0) and (ii < nr):
 *         out[0] += calpha * beta * image[ii, jj]
 */
  __pyx_v_jj = (__pyx_v_jj - 1);

  /* "dipy/align/vector_fields.pyx":237
 *     # ---bottom-left
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * image[ii, jj]
 *         inside += 1
 */
  __pyx_t_2 = ((__pyx_v_jj >= 0) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L18_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L18_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":238
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr):
 *         out[0] += calpha * beta * image[ii, jj]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     return 1 if inside == 4 else 0
 */
    __pyx_t_5 = 0;
    __pyx_t_10 = __pyx_v_ii;
    __pyx_t_11 = __pyx_v_jj;
    (__pyx_v_out[__pyx_t_5]) = ((__pyx_v_out[__pyx_t_5]) + ((__pyx_v_calpha * __pyx_v_beta) * (*((float *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_image.data + __pyx_t_10 * __pyx_v_image.strides[0]) ) + __pyx_t_11 * __pyx_v_image.strides[1]) )))));

    /* "dipy/align/vector_fields.pyx":239
 *     if (jj >= 0) and (ii < nr):
 *         out[0] += calpha * beta * image[ii, jj]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     return 1 if inside == 4 else 0
 * 
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":237
 *     # ---bottom-left
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * image[ii, jj]
 *         inside += 1
 */
  }

  /* "dipy/align/vector_fields.pyx":240
 *         out[0] += calpha * beta * image[ii, jj]
 *         inside += 1
 *     return 1 if inside == 4 else 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  if (((__pyx_v_inside == 4) != 0)) {
    __pyx_t_12 = 1;
  } else {
    __pyx_t_12 = 0;
  }
  __pyx_r = __pyx_t_12;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":176
 * 
 * 
 * cdef inline int _interpolate_scalar_2d(floating[:, :] image, double dii,             # <<<<<<<<<<<<<<
 *                                        double djj, floating *out) nogil:
 *     r"""Bilinear interpolation of a 2D scalar image
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_2d(__Pyx_memviewslice __pyx_v_image, double __pyx_v_dii, double __pyx_v_djj, double *__pyx_v_out) {
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  int __pyx_v_inside;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  long __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  Py_ssize_t __pyx_t_7;
  Py_ssize_t __pyx_t_8;
  Py_ssize_t __pyx_t_9;
  Py_ssize_t __pyx_t_10;
  Py_ssize_t __pyx_t_11;
  int __pyx_t_12;

  /* "dipy/align/vector_fields.pyx":202
 *     """
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = image.shape[1]
 *         cnp.npy_intp ii, jj
 */
  __pyx_v_nr = (__pyx_v_image.shape[0]);

  /* "dipy/align/vector_fields.pyx":203
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]
 *         cnp.npy_intp nc = image.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp ii, jj
 *         int inside
 */
  __pyx_v_nc = (__pyx_v_image.shape[1]);

  /* "dipy/align/vector_fields.pyx":207
 *         int inside
 *         double alpha, beta, calpha, cbeta
 *     if((dii <= -1) or (djj <= -1) or (dii >= nr) or (djj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_dii <= -1.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj <= -1.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_dii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L4_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":208
 *         double alpha, beta, calpha, cbeta
 *     if((dii <= -1) or (djj <= -1) or (dii >= nr) or (djj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # ---top-left
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":209
 *     if((dii <= -1) or (djj <= -1) or (dii >= nr) or (djj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # ---top-left
 *     ii = <int>floor(dii)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":207
 *         int inside
 *         double alpha, beta, calpha, cbeta
 *     if((dii <= -1) or (djj <= -1) or (dii >= nr) or (djj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":211
 *         return 0
 *     # ---top-left
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 * 
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":212
 *     # ---top-left
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 * 
 *     calpha = dii - ii
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":214
 *     jj = <int>floor(djj)
 * 
 *     calpha = dii - ii             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":215
 * 
 *     calpha = dii - ii
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":216
 *     calpha = dii - ii
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 * 
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":217
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 * 
 *     inside = 0
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":219
 *     beta = 1 - cbeta
 * 
 *     inside = 0             # <<<<<<<<<<<<<<
 *     if (ii >= 0) and (jj >= 0):
 *         out[0] = alpha * beta * image[ii, jj]
 */
  __pyx_v_inside = 0;

  /* "dipy/align/vector_fields.pyx":220
 * 
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * image[ii, jj]
 *         inside += 1
 */
  __pyx_t_2 = ((__pyx_v_ii >= 0) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= 0) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L9_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":221
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0):
 *         out[0] = alpha * beta * image[ii, jj]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     else:
 */
    __pyx_t_3 = __pyx_v_ii;
    __pyx_t_4 = __pyx_v_jj;
    (__pyx_v_out[0]) = ((__pyx_v_alpha * __pyx_v_beta) * (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_image.data + __pyx_t_3 * __pyx_v_image.strides[0]) ) + __pyx_t_4 * __pyx_v_image.strides[1]) ))));

    /* "dipy/align/vector_fields.pyx":222
 *     if (ii >= 0) and (jj >= 0):
 *         out[0] = alpha * beta * image[ii, jj]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     else:
 *         out[0] = 0
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":220
 * 
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * image[ii, jj]
 *         inside += 1
 */
    goto __pyx_L8;
  }

  /* "dipy/align/vector_fields.pyx":224
 *         inside += 1
 *     else:
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *     # ---top-right
 *     jj += 1
 */
  /*else*/ {
    (__pyx_v_out[0]) = 0.0;
  }
  __pyx_L8:;

  /* "dipy/align/vector_fields.pyx":226
 *         out[0] = 0
 *     # ---top-right
 *     jj += 1             # <<<<<<<<<<<<<<
 *     if (jj < nc) and (ii >= 0):
 *         out[0] += alpha * cbeta * image[ii, jj]
 */
  __pyx_v_jj = (__pyx_v_jj + 1);

  /* "dipy/align/vector_fields.pyx":227
 *     # ---top-right
 *     jj += 1
 *     if (jj < nc) and (ii >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * image[ii, jj]
 *         inside += 1
 */
  __pyx_t_2 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L12_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= 0) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L12_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":228
 *     jj += 1
 *     if (jj < nc) and (ii >= 0):
 *         out[0] += alpha * cbeta * image[ii, jj]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-right
 */
    __pyx_t_5 = 0;
    __pyx_t_6 = __pyx_v_ii;
    __pyx_t_7 = __pyx_v_jj;
    (__pyx_v_out[__pyx_t_5]) = ((__pyx_v_out[__pyx_t_5]) + ((__pyx_v_alpha * __pyx_v_cbeta) * (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_image.data + __pyx_t_6 * __pyx_v_image.strides[0]) ) + __pyx_t_7 * __pyx_v_image.strides[1]) )))));

    /* "dipy/align/vector_fields.pyx":229
 *     if (jj < nc) and (ii >= 0):
 *         out[0] += alpha * cbeta * image[ii, jj]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-right
 *     ii += 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":227
 *     # ---top-right
 *     jj += 1
 *     if (jj < nc) and (ii >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * image[ii, jj]
 *         inside += 1
 */
  }

  /* "dipy/align/vector_fields.pyx":231
 *         inside += 1
 *     # ---bottom-right
 *     ii += 1             # <<<<<<<<<<<<<<
 *     if (jj < nc) and (ii < nr):
 *         out[0] += calpha * cbeta * image[ii, jj]
 */
  __pyx_v_ii = (__pyx_v_ii + 1);

  /* "dipy/align/vector_fields.pyx":232
 *     # ---bottom-right
 *     ii += 1
 *     if (jj < nc) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * image[ii, jj]
 *         inside += 1
 */
  __pyx_t_2 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L15_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":233
 *     ii += 1
 *     if (jj < nc) and (ii < nr):
 *         out[0] += calpha * cbeta * image[ii, jj]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-left
 */
    __pyx_t_5 = 0;
    __pyx_t_8 = __pyx_v_ii;
    __pyx_t_9 = __pyx_v_jj;
    (__pyx_v_out[__pyx_t_5]) = ((__pyx_v_out[__pyx_t_5]) + ((__pyx_v_calpha * __pyx_v_cbeta) * (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_image.data + __pyx_t_8 * __pyx_v_image.strides[0]) ) + __pyx_t_9 * __pyx_v_image.strides[1]) )))));

    /* "dipy/align/vector_fields.pyx":234
 *     if (jj < nc) and (ii < nr):
 *         out[0] += calpha * cbeta * image[ii, jj]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-left
 *     jj -= 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":232
 *     # ---bottom-right
 *     ii += 1
 *     if (jj < nc) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * image[ii, jj]
 *         inside += 1
 */
  }

  /* "dipy/align/vector_fields.pyx":236
 *         inside += 1
 *     # ---bottom-left
 *     jj -= 1             # <<<<<<<<<<<<<<
 *     if (jj >= 0) and (ii < nr):
 *         out[0] += calpha * beta * image[ii, jj]
 */
  __pyx_v_jj = (__pyx_v_jj - 1);

  /* "dipy/align/vector_fields.pyx":237
 *     # ---bottom-left
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * image[ii, jj]
 *         inside += 1
 */
  __pyx_t_2 = ((__pyx_v_jj >= 0) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L18_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L18_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":238
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr):
 *         out[0] += calpha * beta * image[ii, jj]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     return 1 if inside == 4 else 0
 */
    __pyx_t_5 = 0;
    __pyx_t_10 = __pyx_v_ii;
    __pyx_t_11 = __pyx_v_jj;
    (__pyx_v_out[__pyx_t_5]) = ((__pyx_v_out[__pyx_t_5]) + ((__pyx_v_calpha * __pyx_v_beta) * (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_image.data + __pyx_t_10 * __pyx_v_image.strides[0]) ) + __pyx_t_11 * __pyx_v_image.strides[1]) )))));

    /* "dipy/align/vector_fields.pyx":239
 *     if (jj >= 0) and (ii < nr):
 *         out[0] += calpha * beta * image[ii, jj]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     return 1 if inside == 4 else 0
 * 
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":237
 *     # ---bottom-left
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * image[ii, jj]
 *         inside += 1
 */
  }

  /* "dipy/align/vector_fields.pyx":240
 *         out[0] += calpha * beta * image[ii, jj]
 *         inside += 1
 *     return 1 if inside == 4 else 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  if (((__pyx_v_inside == 4) != 0)) {
    __pyx_t_12 = 1;
  } else {
    __pyx_t_12 = 0;
  }
  __pyx_r = __pyx_t_12;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":176
 * 
 * 
 * cdef inline int _interpolate_scalar_2d(floating[:, :] image, double dii,             # <<<<<<<<<<<<<<
 *                                        double djj, floating *out) nogil:
 *     r"""Bilinear interpolation of a 2D scalar image
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

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/* "dipy/align/vector_fields.pyx":280
 * 
 * 
 * cdef inline int _interpolate_scalar_nn_2d(number[:, :] image, double dii,             # <<<<<<<<<<<<<<
 *                                           double djj, number *out) nogil:
 *     r"""Nearest-neighbor interpolation of a 2D scalar image
 */

static CYTHON_INLINE int __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_2d(__Pyx_memviewslice __pyx_v_image, double __pyx_v_dii, double __pyx_v_djj, short *__pyx_v_out) {
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;

  /* "dipy/align/vector_fields.pyx":306
 *     """
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = image.shape[1]
 *         cnp.npy_intp ii, jj
 */
  __pyx_v_nr = (__pyx_v_image.shape[0]);

  /* "dipy/align/vector_fields.pyx":307
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]
 *         cnp.npy_intp nc = image.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 */
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 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
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 *         out[0] = 0
 *         return 0
 */
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 *         double alpha, beta, calpha, cbeta
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 *     # find the top left index and the interpolation coefficients
 */
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 *         return 0             # <<<<<<<<<<<<<<
 *     # find the top left index and the interpolation coefficients
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 */
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    /* "dipy/align/vector_fields.pyx":310
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
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  /* "dipy/align/vector_fields.pyx":314
 *         return 0
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 *     # no one is affected
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":315
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 */
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  /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_ii < 0) != 0);
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  } else {
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    /* "dipy/align/vector_fields.pyx":318
 *     # no one is affected
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 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 */
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    /* "dipy/align/vector_fields.pyx":319
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 */
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    /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":320
 *         out[0] = 0
 *         return 0
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 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
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  /* "dipy/align/vector_fields.pyx":321
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":322
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     if(alpha < calpha):
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":323
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     if(alpha < calpha):
 *         ii += 1
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":324
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  __pyx_t_1 = ((__pyx_v_alpha < __pyx_v_calpha) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":325
 *     beta = 1 - cbeta
 *     if(alpha < calpha):
 *         ii += 1             # <<<<<<<<<<<<<<
 *     if(beta < cbeta):
 *         jj += 1
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":324
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  }

  /* "dipy/align/vector_fields.pyx":326
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  __pyx_t_1 = ((__pyx_v_beta < __pyx_v_cbeta) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":327
 *         ii += 1
 *     if(beta < cbeta):
 *         jj += 1             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":326
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  }

  /* "dipy/align/vector_fields.pyx":329
 *         jj += 1
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_ii < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
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  __pyx_t_2 = ((__pyx_v_jj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
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    /* "dipy/align/vector_fields.pyx":330
 *     # no one is affected
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 *         return 0
 *     out[0] = image[ii, jj]
 */
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    /* "dipy/align/vector_fields.pyx":331
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     out[0] = image[ii, jj]
 *     return 1
 */
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    /* "dipy/align/vector_fields.pyx":329
 *         jj += 1
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
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 *         out[0] = 0
 *         return 0
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 *     return 1
 * 
 */
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  /* "dipy/align/vector_fields.pyx":333
 *         return 0
 *     out[0] = image[ii, jj]
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":280
 * 
 * 
 * cdef inline int _interpolate_scalar_nn_2d(number[:, :] image, double dii,             # <<<<<<<<<<<<<<
 *                                           double djj, number *out) nogil:
 *     r"""Nearest-neighbor interpolation of a 2D scalar image
 */

  /* function exit code */
  __pyx_L0:;
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}

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  npy_intp __pyx_v_jj;
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  double __pyx_v_beta;
  double __pyx_v_calpha;
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  int __pyx_t_1;
  int __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;

  /* "dipy/align/vector_fields.pyx":306
 *     """
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = image.shape[1]
 *         cnp.npy_intp ii, jj
 */
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  /* "dipy/align/vector_fields.pyx":307
 *     cdef:
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 *         cnp.npy_intp nc = image.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 */
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  /* "dipy/align/vector_fields.pyx":310
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
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  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
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    /* "dipy/align/vector_fields.pyx":311
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 *         return 0
 *     # find the top left index and the interpolation coefficients
 */
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 *     # find the top left index and the interpolation coefficients
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 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":310
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 *         double alpha, beta, calpha, cbeta
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 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":314
 *         return 0
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 *     jj = <int>floor(djj)
 *     # no one is affected
 */
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  /* "dipy/align/vector_fields.pyx":315
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 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 */
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  /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
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  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
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  }
  __pyx_t_2 = ((__pyx_v_ii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L9_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":318
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 */
    (__pyx_v_out[0]) = 0;

    /* "dipy/align/vector_fields.pyx":319
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":320
 *         out[0] = 0
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":321
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":322
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     if(alpha < calpha):
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":323
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     if(alpha < calpha):
 *         ii += 1
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":324
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  __pyx_t_1 = ((__pyx_v_alpha < __pyx_v_calpha) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":325
 *     beta = 1 - cbeta
 *     if(alpha < calpha):
 *         ii += 1             # <<<<<<<<<<<<<<
 *     if(beta < cbeta):
 *         jj += 1
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":324
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  }

  /* "dipy/align/vector_fields.pyx":326
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  __pyx_t_1 = ((__pyx_v_beta < __pyx_v_cbeta) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":327
 *         ii += 1
 *     if(beta < cbeta):
 *         jj += 1             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":326
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  }

  /* "dipy/align/vector_fields.pyx":329
 *         jj += 1
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_ii < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L16_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":330
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     out[0] = image[ii, jj]
 */
    (__pyx_v_out[0]) = 0;

    /* "dipy/align/vector_fields.pyx":331
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     out[0] = image[ii, jj]
 *     return 1
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":329
 *         jj += 1
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":332
 *         out[0] = 0
 *         return 0
 *     out[0] = image[ii, jj]             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
  __pyx_t_3 = __pyx_v_ii;
  __pyx_t_4 = __pyx_v_jj;
  (__pyx_v_out[0]) = (*((int *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_image.data + __pyx_t_3 * __pyx_v_image.strides[0]) ) + __pyx_t_4 * __pyx_v_image.strides[1]) )));

  /* "dipy/align/vector_fields.pyx":333
 *         return 0
 *     out[0] = image[ii, jj]
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":280
 * 
 * 
 * cdef inline int _interpolate_scalar_nn_2d(number[:, :] image, double dii,             # <<<<<<<<<<<<<<
 *                                           double djj, number *out) nogil:
 *     r"""Nearest-neighbor interpolation of a 2D scalar image
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_2__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_2d(__Pyx_memviewslice __pyx_v_image, double __pyx_v_dii, double __pyx_v_djj, long *__pyx_v_out) {
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;

  /* "dipy/align/vector_fields.pyx":306
 *     """
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = image.shape[1]
 *         cnp.npy_intp ii, jj
 */
  __pyx_v_nr = (__pyx_v_image.shape[0]);

  /* "dipy/align/vector_fields.pyx":307
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]
 *         cnp.npy_intp nc = image.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 */
  __pyx_v_nc = (__pyx_v_image.shape[1]);

  /* "dipy/align/vector_fields.pyx":310
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_dii < 0.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj < 0.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_dii > (__pyx_v_nr - 1)) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj > (__pyx_v_nc - 1)) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L4_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":311
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # find the top left index and the interpolation coefficients
 */
    (__pyx_v_out[0]) = 0;

    /* "dipy/align/vector_fields.pyx":312
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":310
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":314
 *         return 0
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 *     # no one is affected
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":315
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_ii < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L9_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":318
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 */
    (__pyx_v_out[0]) = 0;

    /* "dipy/align/vector_fields.pyx":319
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":320
 *         out[0] = 0
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":321
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":322
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     if(alpha < calpha):
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":323
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     if(alpha < calpha):
 *         ii += 1
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":324
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  __pyx_t_1 = ((__pyx_v_alpha < __pyx_v_calpha) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":325
 *     beta = 1 - cbeta
 *     if(alpha < calpha):
 *         ii += 1             # <<<<<<<<<<<<<<
 *     if(beta < cbeta):
 *         jj += 1
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":324
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  }

  /* "dipy/align/vector_fields.pyx":326
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  __pyx_t_1 = ((__pyx_v_beta < __pyx_v_cbeta) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":327
 *         ii += 1
 *     if(beta < cbeta):
 *         jj += 1             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":326
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  }

  /* "dipy/align/vector_fields.pyx":329
 *         jj += 1
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_ii < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L16_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":330
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     out[0] = image[ii, jj]
 */
    (__pyx_v_out[0]) = 0;

    /* "dipy/align/vector_fields.pyx":331
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     out[0] = image[ii, jj]
 *     return 1
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":329
 *         jj += 1
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":332
 *         out[0] = 0
 *         return 0
 *     out[0] = image[ii, jj]             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
  __pyx_t_3 = __pyx_v_ii;
  __pyx_t_4 = __pyx_v_jj;
  (__pyx_v_out[0]) = (*((long *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_image.data + __pyx_t_3 * __pyx_v_image.strides[0]) ) + __pyx_t_4 * __pyx_v_image.strides[1]) )));

  /* "dipy/align/vector_fields.pyx":333
 *         return 0
 *     out[0] = image[ii, jj]
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":280
 * 
 * 
 * cdef inline int _interpolate_scalar_nn_2d(number[:, :] image, double dii,             # <<<<<<<<<<<<<<
 *                                           double djj, number *out) nogil:
 *     r"""Nearest-neighbor interpolation of a 2D scalar image
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_3__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_2d(__Pyx_memviewslice __pyx_v_image, double __pyx_v_dii, double __pyx_v_djj, float *__pyx_v_out) {
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;

  /* "dipy/align/vector_fields.pyx":306
 *     """
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = image.shape[1]
 *         cnp.npy_intp ii, jj
 */
  __pyx_v_nr = (__pyx_v_image.shape[0]);

  /* "dipy/align/vector_fields.pyx":307
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]
 *         cnp.npy_intp nc = image.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 */
  __pyx_v_nc = (__pyx_v_image.shape[1]);

  /* "dipy/align/vector_fields.pyx":310
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_dii < 0.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj < 0.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_dii > (__pyx_v_nr - 1)) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj > (__pyx_v_nc - 1)) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L4_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":311
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # find the top left index and the interpolation coefficients
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":312
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":310
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":314
 *         return 0
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 *     # no one is affected
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":315
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_ii < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L9_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":318
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":319
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":320
 *         out[0] = 0
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":321
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":322
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     if(alpha < calpha):
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":323
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     if(alpha < calpha):
 *         ii += 1
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":324
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  __pyx_t_1 = ((__pyx_v_alpha < __pyx_v_calpha) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":325
 *     beta = 1 - cbeta
 *     if(alpha < calpha):
 *         ii += 1             # <<<<<<<<<<<<<<
 *     if(beta < cbeta):
 *         jj += 1
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":324
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  }

  /* "dipy/align/vector_fields.pyx":326
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  __pyx_t_1 = ((__pyx_v_beta < __pyx_v_cbeta) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":327
 *         ii += 1
 *     if(beta < cbeta):
 *         jj += 1             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":326
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  }

  /* "dipy/align/vector_fields.pyx":329
 *         jj += 1
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_ii < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L16_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":330
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     out[0] = image[ii, jj]
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":331
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     out[0] = image[ii, jj]
 *     return 1
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":329
 *         jj += 1
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":332
 *         out[0] = 0
 *         return 0
 *     out[0] = image[ii, jj]             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
  __pyx_t_3 = __pyx_v_ii;
  __pyx_t_4 = __pyx_v_jj;
  (__pyx_v_out[0]) = (*((float *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_image.data + __pyx_t_3 * __pyx_v_image.strides[0]) ) + __pyx_t_4 * __pyx_v_image.strides[1]) )));

  /* "dipy/align/vector_fields.pyx":333
 *         return 0
 *     out[0] = image[ii, jj]
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":280
 * 
 * 
 * cdef inline int _interpolate_scalar_nn_2d(number[:, :] image, double dii,             # <<<<<<<<<<<<<<
 *                                           double djj, number *out) nogil:
 *     r"""Nearest-neighbor interpolation of a 2D scalar image
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_4__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_2d(__Pyx_memviewslice __pyx_v_image, double __pyx_v_dii, double __pyx_v_djj, double *__pyx_v_out) {
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;

  /* "dipy/align/vector_fields.pyx":306
 *     """
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = image.shape[1]
 *         cnp.npy_intp ii, jj
 */
  __pyx_v_nr = (__pyx_v_image.shape[0]);

  /* "dipy/align/vector_fields.pyx":307
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]
 *         cnp.npy_intp nc = image.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 */
  __pyx_v_nc = (__pyx_v_image.shape[1]);

  /* "dipy/align/vector_fields.pyx":310
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_dii < 0.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj < 0.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_dii > (__pyx_v_nr - 1)) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj > (__pyx_v_nc - 1)) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L4_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":311
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # find the top left index and the interpolation coefficients
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":312
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":310
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":314
 *         return 0
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 *     # no one is affected
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":315
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_ii < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L9_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":318
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":319
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":320
 *         out[0] = 0
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":321
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":322
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     if(alpha < calpha):
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":323
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     if(alpha < calpha):
 *         ii += 1
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":324
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  __pyx_t_1 = ((__pyx_v_alpha < __pyx_v_calpha) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":325
 *     beta = 1 - cbeta
 *     if(alpha < calpha):
 *         ii += 1             # <<<<<<<<<<<<<<
 *     if(beta < cbeta):
 *         jj += 1
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":324
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  }

  /* "dipy/align/vector_fields.pyx":326
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  __pyx_t_1 = ((__pyx_v_beta < __pyx_v_cbeta) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":327
 *         ii += 1
 *     if(beta < cbeta):
 *         jj += 1             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":326
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  }

  /* "dipy/align/vector_fields.pyx":329
 *         jj += 1
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_ii < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L16_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":330
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     out[0] = image[ii, jj]
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":331
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     out[0] = image[ii, jj]
 *     return 1
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":329
 *         jj += 1
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":332
 *         out[0] = 0
 *         return 0
 *     out[0] = image[ii, jj]             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
  __pyx_t_3 = __pyx_v_ii;
  __pyx_t_4 = __pyx_v_jj;
  (__pyx_v_out[0]) = (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_image.data + __pyx_t_3 * __pyx_v_image.strides[0]) ) + __pyx_t_4 * __pyx_v_image.strides[1]) )));

  /* "dipy/align/vector_fields.pyx":333
 *         return 0
 *     out[0] = image[ii, jj]
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":280
 * 
 * 
 * cdef inline int _interpolate_scalar_nn_2d(number[:, :] image, double dii,             # <<<<<<<<<<<<<<
 *                                           double djj, number *out) nogil:
 *     r"""Nearest-neighbor interpolation of a 2D scalar image
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_5__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_2d(__Pyx_memviewslice __pyx_v_image, double __pyx_v_dii, double __pyx_v_djj, __pyx_t_float_complex *__pyx_v_out) {
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;

  /* "dipy/align/vector_fields.pyx":306
 *     """
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = image.shape[1]
 *         cnp.npy_intp ii, jj
 */
  __pyx_v_nr = (__pyx_v_image.shape[0]);

  /* "dipy/align/vector_fields.pyx":307
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]
 *         cnp.npy_intp nc = image.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 */
  __pyx_v_nc = (__pyx_v_image.shape[1]);

  /* "dipy/align/vector_fields.pyx":310
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_dii < 0.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj < 0.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_dii > (__pyx_v_nr - 1)) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj > (__pyx_v_nc - 1)) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L4_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":311
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # find the top left index and the interpolation coefficients
 */
    (__pyx_v_out[0]) = __pyx_t_float_complex_from_parts(0, 0);

    /* "dipy/align/vector_fields.pyx":312
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":310
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":314
 *         return 0
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 *     # no one is affected
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":315
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_ii < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L9_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":318
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 */
    (__pyx_v_out[0]) = __pyx_t_float_complex_from_parts(0, 0);

    /* "dipy/align/vector_fields.pyx":319
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":320
 *         out[0] = 0
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":321
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":322
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     if(alpha < calpha):
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":323
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     if(alpha < calpha):
 *         ii += 1
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":324
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  __pyx_t_1 = ((__pyx_v_alpha < __pyx_v_calpha) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":325
 *     beta = 1 - cbeta
 *     if(alpha < calpha):
 *         ii += 1             # <<<<<<<<<<<<<<
 *     if(beta < cbeta):
 *         jj += 1
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":324
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  }

  /* "dipy/align/vector_fields.pyx":326
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  __pyx_t_1 = ((__pyx_v_beta < __pyx_v_cbeta) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":327
 *         ii += 1
 *     if(beta < cbeta):
 *         jj += 1             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":326
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  }

  /* "dipy/align/vector_fields.pyx":329
 *         jj += 1
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_ii < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L16_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":330
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     out[0] = image[ii, jj]
 */
    (__pyx_v_out[0]) = __pyx_t_float_complex_from_parts(0, 0);

    /* "dipy/align/vector_fields.pyx":331
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     out[0] = image[ii, jj]
 *     return 1
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":329
 *         jj += 1
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":332
 *         out[0] = 0
 *         return 0
 *     out[0] = image[ii, jj]             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
  __pyx_t_3 = __pyx_v_ii;
  __pyx_t_4 = __pyx_v_jj;
  (__pyx_v_out[0]) = (*((__pyx_t_float_complex *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_image.data + __pyx_t_3 * __pyx_v_image.strides[0]) ) + __pyx_t_4 * __pyx_v_image.strides[1]) )));

  /* "dipy/align/vector_fields.pyx":333
 *         return 0
 *     out[0] = image[ii, jj]
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":280
 * 
 * 
 * cdef inline int _interpolate_scalar_nn_2d(number[:, :] image, double dii,             # <<<<<<<<<<<<<<
 *                                           double djj, number *out) nogil:
 *     r"""Nearest-neighbor interpolation of a 2D scalar image
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_6__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_2d(__Pyx_memviewslice __pyx_v_image, double __pyx_v_dii, double __pyx_v_djj, __pyx_t_double_complex *__pyx_v_out) {
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;

  /* "dipy/align/vector_fields.pyx":306
 *     """
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = image.shape[1]
 *         cnp.npy_intp ii, jj
 */
  __pyx_v_nr = (__pyx_v_image.shape[0]);

  /* "dipy/align/vector_fields.pyx":307
 *     cdef:
 *         cnp.npy_intp nr = image.shape[0]
 *         cnp.npy_intp nc = image.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 */
  __pyx_v_nc = (__pyx_v_image.shape[1]);

  /* "dipy/align/vector_fields.pyx":310
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_dii < 0.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj < 0.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_dii > (__pyx_v_nr - 1)) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_djj > (__pyx_v_nc - 1)) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L4_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":311
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # find the top left index and the interpolation coefficients
 */
    (__pyx_v_out[0]) = __pyx_t_double_complex_from_parts(0, 0);

    /* "dipy/align/vector_fields.pyx":312
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":310
 *         cnp.npy_intp ii, jj
 *         double alpha, beta, calpha, cbeta
 *     if((dii < 0) or (djj < 0) or (dii > nr - 1) or (djj > nc - 1)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":314
 *         return 0
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 *     # no one is affected
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":315
 *     # find the top left index and the interpolation coefficients
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = ((__pyx_v_ii < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj < 0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_ii >= __pyx_v_nr) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_jj >= __pyx_v_nc) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L9_bool_binop_done:;
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":318
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 */
    (__pyx_v_out[0]) = __pyx_t_double_complex_from_parts(0, 0);

    /* "dipy/align/vector_fields.pyx":319
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":317
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if((ii < 0) or (jj < 0) or (ii >= nr) or (jj >= nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":320
 *         out[0] = 0
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":321
 *         return 0
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":322
 *     calpha = dii - ii  # by definition these factors are nonnegative
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     if(alpha < calpha):
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":323
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     if(alpha < calpha):
 *         ii += 1
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":324
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
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 */
  __pyx_t_2 = ((__pyx_v_gamma < __pyx_v_cgamma) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":425
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):
 *         kk += 1             # <<<<<<<<<<<<<<
 *     if(alpha < calpha):
 *         ii += 1
 */
    __pyx_v_kk = (__pyx_v_kk + 1);

    /* "dipy/align/vector_fields.pyx":424
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):             # <<<<<<<<<<<<<<
 *         kk += 1
 *     if(alpha < calpha):
 */
  }

  /* "dipy/align/vector_fields.pyx":426
 *     if(gamma < cgamma):
 *         kk += 1
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  __pyx_t_2 = ((__pyx_v_alpha < __pyx_v_calpha) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":427
 *         kk += 1
 *     if(alpha < calpha):
 *         ii += 1             # <<<<<<<<<<<<<<
 *     if(beta < cbeta):
 *         jj += 1
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":426
 *     if(gamma < cgamma):
 *         kk += 1
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  }

  /* "dipy/align/vector_fields.pyx":428
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  __pyx_t_2 = ((__pyx_v_beta < __pyx_v_cbeta) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":429
 *         ii += 1
 *     if(beta < cbeta):
 *         jj += 1             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":428
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  }

  /* "dipy/align/vector_fields.pyx":431
 *         jj += 1
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_3 = (0 <= __pyx_v_kk);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_kk < __pyx_v_ns);
  }
  __pyx_t_1 = (__pyx_t_3 != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_2 = __pyx_t_1;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_1 = (0 <= __pyx_v_ii);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_ii < __pyx_v_nr);
  }
  __pyx_t_3 = (__pyx_t_1 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_2 = __pyx_t_3;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_3 = (0 <= __pyx_v_jj);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_jj < __pyx_v_nc);
  }
  __pyx_t_1 = (__pyx_t_3 != 0);
  __pyx_t_2 = __pyx_t_1;
  __pyx_L15_bool_binop_done:;
  __pyx_t_1 = ((!__pyx_t_2) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":432
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     out[0] = volume[kk, ii, jj]
 */
    (__pyx_v_out[0]) = 0;

    /* "dipy/align/vector_fields.pyx":433
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     out[0] = volume[kk, ii, jj]
 *     return 1
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":431
 *         jj += 1
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":434
 *         out[0] = 0
 *         return 0
 *     out[0] = volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
  __pyx_t_4 = __pyx_v_kk;
  __pyx_t_5 = __pyx_v_ii;
  __pyx_t_6 = __pyx_v_jj;
  (__pyx_v_out[0]) = (*((short *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_4 * __pyx_v_volume.strides[0]) ) + __pyx_t_5 * __pyx_v_volume.strides[1]) ) + __pyx_t_6 * __pyx_v_volume.strides[2]) )));

  /* "dipy/align/vector_fields.pyx":435
 *         return 0
 *     out[0] = volume[kk, ii, jj]
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":373
 * 
 * 
 * cdef inline int _interpolate_scalar_nn_3d(number[:, :, :] volume, double dkk,             # <<<<<<<<<<<<<<
 *                                          double dii, double djj,
 *                                          number *out) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__Pyx_memviewslice __pyx_v_volume, double __pyx_v_dkk, double __pyx_v_dii, double __pyx_v_djj, int *__pyx_v_out) {
  npy_intp __pyx_v_ns;
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_kk;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  double __pyx_v_gamma;
  double __pyx_v_cgamma;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;

  /* "dipy/align/vector_fields.pyx":402
 *     """
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]
 */
  __pyx_v_ns = (__pyx_v_volume.shape[0]);

  /* "dipy/align/vector_fields.pyx":403
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]
 *         cnp.npy_intp nr = volume.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = volume.shape[2]
 *         cnp.npy_intp kk, ii, jj
 */
  __pyx_v_nr = (__pyx_v_volume.shape[1]);

  /* "dipy/align/vector_fields.pyx":404
 *         cnp.npy_intp ns = volume.shape[0]
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 */
  __pyx_v_nc = (__pyx_v_volume.shape[2]);

  /* "dipy/align/vector_fields.pyx":407
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = (0.0 <= __pyx_v_dkk);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_dkk <= (__pyx_v_ns - 1));
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_1 = __pyx_t_3;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_3 = (0.0 <= __pyx_v_dii);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_dii <= (__pyx_v_nr - 1));
  }
  __pyx_t_2 = (__pyx_t_3 != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = (0.0 <= __pyx_v_djj);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_djj <= (__pyx_v_nc - 1));
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  __pyx_t_1 = __pyx_t_3;
  __pyx_L4_bool_binop_done:;
  __pyx_t_3 = ((!__pyx_t_1) != 0);
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":408
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # find the top left index and the interpolation coefficients
 */
    (__pyx_v_out[0]) = 0;

    /* "dipy/align/vector_fields.pyx":409
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":407
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":411
 *         return 0
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)             # <<<<<<<<<<<<<<
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)
 */
  __pyx_v_kk = ((int)floor(__pyx_v_dkk));

  /* "dipy/align/vector_fields.pyx":412
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 *     # no one is affected
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":413
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":415
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_1 = (0 <= __pyx_v_kk);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_kk < __pyx_v_ns);
  }
  __pyx_t_2 = (__pyx_t_1 != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_3 = __pyx_t_2;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_2 = (0 <= __pyx_v_ii);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_ii < __pyx_v_nr);
  }
  __pyx_t_1 = (__pyx_t_2 != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_1 = (0 <= __pyx_v_jj);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_jj < __pyx_v_nc);
  }
  __pyx_t_2 = (__pyx_t_1 != 0);
  __pyx_t_3 = __pyx_t_2;
  __pyx_L8_bool_binop_done:;
  __pyx_t_2 = ((!__pyx_t_3) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":416
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     cgamma = dkk - kk
 */
    (__pyx_v_out[0]) = 0;

    /* "dipy/align/vector_fields.pyx":417
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":415
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":418
 *         out[0] = 0
 *         return 0
 *     cgamma = dkk - kk             # <<<<<<<<<<<<<<
 *     calpha = dii - ii
 *     cbeta = djj - jj
 */
  __pyx_v_cgamma = (__pyx_v_dkk - __pyx_v_kk);

  /* "dipy/align/vector_fields.pyx":419
 *         return 0
 *     cgamma = dkk - kk
 *     calpha = dii - ii             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":420
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":421
 *     calpha = dii - ii
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":422
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":423
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma             # <<<<<<<<<<<<<<
 *     if(gamma < cgamma):
 *         kk += 1
 */
  __pyx_v_gamma = (1.0 - __pyx_v_cgamma);

  /* "dipy/align/vector_fields.pyx":424
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):             # <<<<<<<<<<<<<<
 *         kk += 1
 *     if(alpha < calpha):
 */
  __pyx_t_2 = ((__pyx_v_gamma < __pyx_v_cgamma) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":425
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):
 *         kk += 1             # <<<<<<<<<<<<<<
 *     if(alpha < calpha):
 *         ii += 1
 */
    __pyx_v_kk = (__pyx_v_kk + 1);

    /* "dipy/align/vector_fields.pyx":424
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):             # <<<<<<<<<<<<<<
 *         kk += 1
 *     if(alpha < calpha):
 */
  }

  /* "dipy/align/vector_fields.pyx":426
 *     if(gamma < cgamma):
 *         kk += 1
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  __pyx_t_2 = ((__pyx_v_alpha < __pyx_v_calpha) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":427
 *         kk += 1
 *     if(alpha < calpha):
 *         ii += 1             # <<<<<<<<<<<<<<
 *     if(beta < cbeta):
 *         jj += 1
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":426
 *     if(gamma < cgamma):
 *         kk += 1
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  }

  /* "dipy/align/vector_fields.pyx":428
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  __pyx_t_2 = ((__pyx_v_beta < __pyx_v_cbeta) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":429
 *         ii += 1
 *     if(beta < cbeta):
 *         jj += 1             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":428
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  }

  /* "dipy/align/vector_fields.pyx":431
 *         jj += 1
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_3 = (0 <= __pyx_v_kk);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_kk < __pyx_v_ns);
  }
  __pyx_t_1 = (__pyx_t_3 != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_2 = __pyx_t_1;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_1 = (0 <= __pyx_v_ii);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_ii < __pyx_v_nr);
  }
  __pyx_t_3 = (__pyx_t_1 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_2 = __pyx_t_3;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_3 = (0 <= __pyx_v_jj);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_jj < __pyx_v_nc);
  }
  __pyx_t_1 = (__pyx_t_3 != 0);
  __pyx_t_2 = __pyx_t_1;
  __pyx_L15_bool_binop_done:;
  __pyx_t_1 = ((!__pyx_t_2) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":432
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     out[0] = volume[kk, ii, jj]
 */
    (__pyx_v_out[0]) = 0;

    /* "dipy/align/vector_fields.pyx":433
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     out[0] = volume[kk, ii, jj]
 *     return 1
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":431
 *         jj += 1
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":434
 *         out[0] = 0
 *         return 0
 *     out[0] = volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
  __pyx_t_4 = __pyx_v_kk;
  __pyx_t_5 = __pyx_v_ii;
  __pyx_t_6 = __pyx_v_jj;
  (__pyx_v_out[0]) = (*((int *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_4 * __pyx_v_volume.strides[0]) ) + __pyx_t_5 * __pyx_v_volume.strides[1]) ) + __pyx_t_6 * __pyx_v_volume.strides[2]) )));

  /* "dipy/align/vector_fields.pyx":435
 *         return 0
 *     out[0] = volume[kk, ii, jj]
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":373
 * 
 * 
 * cdef inline int _interpolate_scalar_nn_3d(number[:, :, :] volume, double dkk,             # <<<<<<<<<<<<<<
 *                                          double dii, double djj,
 *                                          number *out) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_2__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__Pyx_memviewslice __pyx_v_volume, double __pyx_v_dkk, double __pyx_v_dii, double __pyx_v_djj, long *__pyx_v_out) {
  npy_intp __pyx_v_ns;
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_kk;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  double __pyx_v_gamma;
  double __pyx_v_cgamma;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;

  /* "dipy/align/vector_fields.pyx":402
 *     """
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]
 */
  __pyx_v_ns = (__pyx_v_volume.shape[0]);

  /* "dipy/align/vector_fields.pyx":403
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]
 *         cnp.npy_intp nr = volume.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = volume.shape[2]
 *         cnp.npy_intp kk, ii, jj
 */
  __pyx_v_nr = (__pyx_v_volume.shape[1]);

  /* "dipy/align/vector_fields.pyx":404
 *         cnp.npy_intp ns = volume.shape[0]
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 */
  __pyx_v_nc = (__pyx_v_volume.shape[2]);

  /* "dipy/align/vector_fields.pyx":407
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = (0.0 <= __pyx_v_dkk);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_dkk <= (__pyx_v_ns - 1));
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_1 = __pyx_t_3;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_3 = (0.0 <= __pyx_v_dii);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_dii <= (__pyx_v_nr - 1));
  }
  __pyx_t_2 = (__pyx_t_3 != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = (0.0 <= __pyx_v_djj);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_djj <= (__pyx_v_nc - 1));
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  __pyx_t_1 = __pyx_t_3;
  __pyx_L4_bool_binop_done:;
  __pyx_t_3 = ((!__pyx_t_1) != 0);
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":408
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # find the top left index and the interpolation coefficients
 */
    (__pyx_v_out[0]) = 0;

    /* "dipy/align/vector_fields.pyx":409
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":407
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":411
 *         return 0
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)             # <<<<<<<<<<<<<<
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)
 */
  __pyx_v_kk = ((int)floor(__pyx_v_dkk));

  /* "dipy/align/vector_fields.pyx":412
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 *     # no one is affected
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":413
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":415
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_1 = (0 <= __pyx_v_kk);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_kk < __pyx_v_ns);
  }
  __pyx_t_2 = (__pyx_t_1 != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_3 = __pyx_t_2;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_2 = (0 <= __pyx_v_ii);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_ii < __pyx_v_nr);
  }
  __pyx_t_1 = (__pyx_t_2 != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_1 = (0 <= __pyx_v_jj);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_jj < __pyx_v_nc);
  }
  __pyx_t_2 = (__pyx_t_1 != 0);
  __pyx_t_3 = __pyx_t_2;
  __pyx_L8_bool_binop_done:;
  __pyx_t_2 = ((!__pyx_t_3) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":416
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     cgamma = dkk - kk
 */
    (__pyx_v_out[0]) = 0;

    /* "dipy/align/vector_fields.pyx":417
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":415
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":418
 *         out[0] = 0
 *         return 0
 *     cgamma = dkk - kk             # <<<<<<<<<<<<<<
 *     calpha = dii - ii
 *     cbeta = djj - jj
 */
  __pyx_v_cgamma = (__pyx_v_dkk - __pyx_v_kk);

  /* "dipy/align/vector_fields.pyx":419
 *         return 0
 *     cgamma = dkk - kk
 *     calpha = dii - ii             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":420
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":421
 *     calpha = dii - ii
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":422
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":423
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma             # <<<<<<<<<<<<<<
 *     if(gamma < cgamma):
 *         kk += 1
 */
  __pyx_v_gamma = (1.0 - __pyx_v_cgamma);

  /* "dipy/align/vector_fields.pyx":424
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):             # <<<<<<<<<<<<<<
 *         kk += 1
 *     if(alpha < calpha):
 */
  __pyx_t_2 = ((__pyx_v_gamma < __pyx_v_cgamma) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":425
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):
 *         kk += 1             # <<<<<<<<<<<<<<
 *     if(alpha < calpha):
 *         ii += 1
 */
    __pyx_v_kk = (__pyx_v_kk + 1);

    /* "dipy/align/vector_fields.pyx":424
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):             # <<<<<<<<<<<<<<
 *         kk += 1
 *     if(alpha < calpha):
 */
  }

  /* "dipy/align/vector_fields.pyx":426
 *     if(gamma < cgamma):
 *         kk += 1
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  __pyx_t_2 = ((__pyx_v_alpha < __pyx_v_calpha) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":427
 *         kk += 1
 *     if(alpha < calpha):
 *         ii += 1             # <<<<<<<<<<<<<<
 *     if(beta < cbeta):
 *         jj += 1
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":426
 *     if(gamma < cgamma):
 *         kk += 1
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  }

  /* "dipy/align/vector_fields.pyx":428
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  __pyx_t_2 = ((__pyx_v_beta < __pyx_v_cbeta) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":429
 *         ii += 1
 *     if(beta < cbeta):
 *         jj += 1             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":428
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  }

  /* "dipy/align/vector_fields.pyx":431
 *         jj += 1
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_3 = (0 <= __pyx_v_kk);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_kk < __pyx_v_ns);
  }
  __pyx_t_1 = (__pyx_t_3 != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_2 = __pyx_t_1;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_1 = (0 <= __pyx_v_ii);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_ii < __pyx_v_nr);
  }
  __pyx_t_3 = (__pyx_t_1 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_2 = __pyx_t_3;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_3 = (0 <= __pyx_v_jj);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_jj < __pyx_v_nc);
  }
  __pyx_t_1 = (__pyx_t_3 != 0);
  __pyx_t_2 = __pyx_t_1;
  __pyx_L15_bool_binop_done:;
  __pyx_t_1 = ((!__pyx_t_2) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":432
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     out[0] = volume[kk, ii, jj]
 */
    (__pyx_v_out[0]) = 0;

    /* "dipy/align/vector_fields.pyx":433
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     out[0] = volume[kk, ii, jj]
 *     return 1
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":431
 *         jj += 1
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":434
 *         out[0] = 0
 *         return 0
 *     out[0] = volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
  __pyx_t_4 = __pyx_v_kk;
  __pyx_t_5 = __pyx_v_ii;
  __pyx_t_6 = __pyx_v_jj;
  (__pyx_v_out[0]) = (*((long *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_4 * __pyx_v_volume.strides[0]) ) + __pyx_t_5 * __pyx_v_volume.strides[1]) ) + __pyx_t_6 * __pyx_v_volume.strides[2]) )));

  /* "dipy/align/vector_fields.pyx":435
 *         return 0
 *     out[0] = volume[kk, ii, jj]
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":373
 * 
 * 
 * cdef inline int _interpolate_scalar_nn_3d(number[:, :, :] volume, double dkk,             # <<<<<<<<<<<<<<
 *                                          double dii, double djj,
 *                                          number *out) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_3__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__Pyx_memviewslice __pyx_v_volume, double __pyx_v_dkk, double __pyx_v_dii, double __pyx_v_djj, float *__pyx_v_out) {
  npy_intp __pyx_v_ns;
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_kk;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  double __pyx_v_gamma;
  double __pyx_v_cgamma;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;

  /* "dipy/align/vector_fields.pyx":402
 *     """
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]
 */
  __pyx_v_ns = (__pyx_v_volume.shape[0]);

  /* "dipy/align/vector_fields.pyx":403
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]
 *         cnp.npy_intp nr = volume.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = volume.shape[2]
 *         cnp.npy_intp kk, ii, jj
 */
  __pyx_v_nr = (__pyx_v_volume.shape[1]);

  /* "dipy/align/vector_fields.pyx":404
 *         cnp.npy_intp ns = volume.shape[0]
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 */
  __pyx_v_nc = (__pyx_v_volume.shape[2]);

  /* "dipy/align/vector_fields.pyx":407
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = (0.0 <= __pyx_v_dkk);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_dkk <= (__pyx_v_ns - 1));
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_1 = __pyx_t_3;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_3 = (0.0 <= __pyx_v_dii);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_dii <= (__pyx_v_nr - 1));
  }
  __pyx_t_2 = (__pyx_t_3 != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = (0.0 <= __pyx_v_djj);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_djj <= (__pyx_v_nc - 1));
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  __pyx_t_1 = __pyx_t_3;
  __pyx_L4_bool_binop_done:;
  __pyx_t_3 = ((!__pyx_t_1) != 0);
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":408
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # find the top left index and the interpolation coefficients
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":409
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":407
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":411
 *         return 0
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)             # <<<<<<<<<<<<<<
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)
 */
  __pyx_v_kk = ((int)floor(__pyx_v_dkk));

  /* "dipy/align/vector_fields.pyx":412
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 *     # no one is affected
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":413
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":415
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_1 = (0 <= __pyx_v_kk);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_kk < __pyx_v_ns);
  }
  __pyx_t_2 = (__pyx_t_1 != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_3 = __pyx_t_2;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_2 = (0 <= __pyx_v_ii);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_ii < __pyx_v_nr);
  }
  __pyx_t_1 = (__pyx_t_2 != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_1 = (0 <= __pyx_v_jj);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_jj < __pyx_v_nc);
  }
  __pyx_t_2 = (__pyx_t_1 != 0);
  __pyx_t_3 = __pyx_t_2;
  __pyx_L8_bool_binop_done:;
  __pyx_t_2 = ((!__pyx_t_3) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":416
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     cgamma = dkk - kk
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":417
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":415
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":418
 *         out[0] = 0
 *         return 0
 *     cgamma = dkk - kk             # <<<<<<<<<<<<<<
 *     calpha = dii - ii
 *     cbeta = djj - jj
 */
  __pyx_v_cgamma = (__pyx_v_dkk - __pyx_v_kk);

  /* "dipy/align/vector_fields.pyx":419
 *         return 0
 *     cgamma = dkk - kk
 *     calpha = dii - ii             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":420
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":421
 *     calpha = dii - ii
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":422
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":423
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma             # <<<<<<<<<<<<<<
 *     if(gamma < cgamma):
 *         kk += 1
 */
  __pyx_v_gamma = (1.0 - __pyx_v_cgamma);

  /* "dipy/align/vector_fields.pyx":424
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):             # <<<<<<<<<<<<<<
 *         kk += 1
 *     if(alpha < calpha):
 */
  __pyx_t_2 = ((__pyx_v_gamma < __pyx_v_cgamma) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":425
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):
 *         kk += 1             # <<<<<<<<<<<<<<
 *     if(alpha < calpha):
 *         ii += 1
 */
    __pyx_v_kk = (__pyx_v_kk + 1);

    /* "dipy/align/vector_fields.pyx":424
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):             # <<<<<<<<<<<<<<
 *         kk += 1
 *     if(alpha < calpha):
 */
  }

  /* "dipy/align/vector_fields.pyx":426
 *     if(gamma < cgamma):
 *         kk += 1
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  __pyx_t_2 = ((__pyx_v_alpha < __pyx_v_calpha) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":427
 *         kk += 1
 *     if(alpha < calpha):
 *         ii += 1             # <<<<<<<<<<<<<<
 *     if(beta < cbeta):
 *         jj += 1
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":426
 *     if(gamma < cgamma):
 *         kk += 1
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  }

  /* "dipy/align/vector_fields.pyx":428
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  __pyx_t_2 = ((__pyx_v_beta < __pyx_v_cbeta) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":429
 *         ii += 1
 *     if(beta < cbeta):
 *         jj += 1             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":428
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  }

  /* "dipy/align/vector_fields.pyx":431
 *         jj += 1
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_3 = (0 <= __pyx_v_kk);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_kk < __pyx_v_ns);
  }
  __pyx_t_1 = (__pyx_t_3 != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_2 = __pyx_t_1;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_1 = (0 <= __pyx_v_ii);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_ii < __pyx_v_nr);
  }
  __pyx_t_3 = (__pyx_t_1 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_2 = __pyx_t_3;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_3 = (0 <= __pyx_v_jj);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_jj < __pyx_v_nc);
  }
  __pyx_t_1 = (__pyx_t_3 != 0);
  __pyx_t_2 = __pyx_t_1;
  __pyx_L15_bool_binop_done:;
  __pyx_t_1 = ((!__pyx_t_2) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":432
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     out[0] = volume[kk, ii, jj]
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":433
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     out[0] = volume[kk, ii, jj]
 *     return 1
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":431
 *         jj += 1
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":434
 *         out[0] = 0
 *         return 0
 *     out[0] = volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
  __pyx_t_4 = __pyx_v_kk;
  __pyx_t_5 = __pyx_v_ii;
  __pyx_t_6 = __pyx_v_jj;
  (__pyx_v_out[0]) = (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_4 * __pyx_v_volume.strides[0]) ) + __pyx_t_5 * __pyx_v_volume.strides[1]) ) + __pyx_t_6 * __pyx_v_volume.strides[2]) )));

  /* "dipy/align/vector_fields.pyx":435
 *         return 0
 *     out[0] = volume[kk, ii, jj]
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":373
 * 
 * 
 * cdef inline int _interpolate_scalar_nn_3d(number[:, :, :] volume, double dkk,             # <<<<<<<<<<<<<<
 *                                          double dii, double djj,
 *                                          number *out) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_4__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__Pyx_memviewslice __pyx_v_volume, double __pyx_v_dkk, double __pyx_v_dii, double __pyx_v_djj, double *__pyx_v_out) {
  npy_intp __pyx_v_ns;
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_kk;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  double __pyx_v_gamma;
  double __pyx_v_cgamma;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;

  /* "dipy/align/vector_fields.pyx":402
 *     """
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]
 */
  __pyx_v_ns = (__pyx_v_volume.shape[0]);

  /* "dipy/align/vector_fields.pyx":403
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]
 *         cnp.npy_intp nr = volume.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = volume.shape[2]
 *         cnp.npy_intp kk, ii, jj
 */
  __pyx_v_nr = (__pyx_v_volume.shape[1]);

  /* "dipy/align/vector_fields.pyx":404
 *         cnp.npy_intp ns = volume.shape[0]
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 */
  __pyx_v_nc = (__pyx_v_volume.shape[2]);

  /* "dipy/align/vector_fields.pyx":407
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = (0.0 <= __pyx_v_dkk);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_dkk <= (__pyx_v_ns - 1));
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_1 = __pyx_t_3;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_3 = (0.0 <= __pyx_v_dii);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_dii <= (__pyx_v_nr - 1));
  }
  __pyx_t_2 = (__pyx_t_3 != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = (0.0 <= __pyx_v_djj);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_djj <= (__pyx_v_nc - 1));
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  __pyx_t_1 = __pyx_t_3;
  __pyx_L4_bool_binop_done:;
  __pyx_t_3 = ((!__pyx_t_1) != 0);
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":408
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # find the top left index and the interpolation coefficients
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":409
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":407
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":411
 *         return 0
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)             # <<<<<<<<<<<<<<
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)
 */
  __pyx_v_kk = ((int)floor(__pyx_v_dkk));

  /* "dipy/align/vector_fields.pyx":412
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 *     # no one is affected
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":413
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":415
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_1 = (0 <= __pyx_v_kk);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_kk < __pyx_v_ns);
  }
  __pyx_t_2 = (__pyx_t_1 != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_3 = __pyx_t_2;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_2 = (0 <= __pyx_v_ii);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_ii < __pyx_v_nr);
  }
  __pyx_t_1 = (__pyx_t_2 != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_1 = (0 <= __pyx_v_jj);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_jj < __pyx_v_nc);
  }
  __pyx_t_2 = (__pyx_t_1 != 0);
  __pyx_t_3 = __pyx_t_2;
  __pyx_L8_bool_binop_done:;
  __pyx_t_2 = ((!__pyx_t_3) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":416
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     cgamma = dkk - kk
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":417
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":415
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":418
 *         out[0] = 0
 *         return 0
 *     cgamma = dkk - kk             # <<<<<<<<<<<<<<
 *     calpha = dii - ii
 *     cbeta = djj - jj
 */
  __pyx_v_cgamma = (__pyx_v_dkk - __pyx_v_kk);

  /* "dipy/align/vector_fields.pyx":419
 *         return 0
 *     cgamma = dkk - kk
 *     calpha = dii - ii             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":420
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":421
 *     calpha = dii - ii
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":422
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":423
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma             # <<<<<<<<<<<<<<
 *     if(gamma < cgamma):
 *         kk += 1
 */
  __pyx_v_gamma = (1.0 - __pyx_v_cgamma);

  /* "dipy/align/vector_fields.pyx":424
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):             # <<<<<<<<<<<<<<
 *         kk += 1
 *     if(alpha < calpha):
 */
  __pyx_t_2 = ((__pyx_v_gamma < __pyx_v_cgamma) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":425
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):
 *         kk += 1             # <<<<<<<<<<<<<<
 *     if(alpha < calpha):
 *         ii += 1
 */
    __pyx_v_kk = (__pyx_v_kk + 1);

    /* "dipy/align/vector_fields.pyx":424
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):             # <<<<<<<<<<<<<<
 *         kk += 1
 *     if(alpha < calpha):
 */
  }

  /* "dipy/align/vector_fields.pyx":426
 *     if(gamma < cgamma):
 *         kk += 1
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  __pyx_t_2 = ((__pyx_v_alpha < __pyx_v_calpha) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":427
 *         kk += 1
 *     if(alpha < calpha):
 *         ii += 1             # <<<<<<<<<<<<<<
 *     if(beta < cbeta):
 *         jj += 1
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":426
 *     if(gamma < cgamma):
 *         kk += 1
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  }

  /* "dipy/align/vector_fields.pyx":428
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  __pyx_t_2 = ((__pyx_v_beta < __pyx_v_cbeta) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":429
 *         ii += 1
 *     if(beta < cbeta):
 *         jj += 1             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":428
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  }

  /* "dipy/align/vector_fields.pyx":431
 *         jj += 1
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_3 = (0 <= __pyx_v_kk);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_kk < __pyx_v_ns);
  }
  __pyx_t_1 = (__pyx_t_3 != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_2 = __pyx_t_1;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_1 = (0 <= __pyx_v_ii);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_ii < __pyx_v_nr);
  }
  __pyx_t_3 = (__pyx_t_1 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_2 = __pyx_t_3;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_3 = (0 <= __pyx_v_jj);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_jj < __pyx_v_nc);
  }
  __pyx_t_1 = (__pyx_t_3 != 0);
  __pyx_t_2 = __pyx_t_1;
  __pyx_L15_bool_binop_done:;
  __pyx_t_1 = ((!__pyx_t_2) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":432
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     out[0] = volume[kk, ii, jj]
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":433
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     out[0] = volume[kk, ii, jj]
 *     return 1
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":431
 *         jj += 1
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":434
 *         out[0] = 0
 *         return 0
 *     out[0] = volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
  __pyx_t_4 = __pyx_v_kk;
  __pyx_t_5 = __pyx_v_ii;
  __pyx_t_6 = __pyx_v_jj;
  (__pyx_v_out[0]) = (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_4 * __pyx_v_volume.strides[0]) ) + __pyx_t_5 * __pyx_v_volume.strides[1]) ) + __pyx_t_6 * __pyx_v_volume.strides[2]) )));

  /* "dipy/align/vector_fields.pyx":435
 *         return 0
 *     out[0] = volume[kk, ii, jj]
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":373
 * 
 * 
 * cdef inline int _interpolate_scalar_nn_3d(number[:, :, :] volume, double dkk,             # <<<<<<<<<<<<<<
 *                                          double dii, double djj,
 *                                          number *out) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_5__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__Pyx_memviewslice __pyx_v_volume, double __pyx_v_dkk, double __pyx_v_dii, double __pyx_v_djj, __pyx_t_float_complex *__pyx_v_out) {
  npy_intp __pyx_v_ns;
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_kk;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  double __pyx_v_gamma;
  double __pyx_v_cgamma;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;

  /* "dipy/align/vector_fields.pyx":402
 *     """
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]
 */
  __pyx_v_ns = (__pyx_v_volume.shape[0]);

  /* "dipy/align/vector_fields.pyx":403
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]
 *         cnp.npy_intp nr = volume.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = volume.shape[2]
 *         cnp.npy_intp kk, ii, jj
 */
  __pyx_v_nr = (__pyx_v_volume.shape[1]);

  /* "dipy/align/vector_fields.pyx":404
 *         cnp.npy_intp ns = volume.shape[0]
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 */
  __pyx_v_nc = (__pyx_v_volume.shape[2]);

  /* "dipy/align/vector_fields.pyx":407
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = (0.0 <= __pyx_v_dkk);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_dkk <= (__pyx_v_ns - 1));
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_1 = __pyx_t_3;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_3 = (0.0 <= __pyx_v_dii);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_dii <= (__pyx_v_nr - 1));
  }
  __pyx_t_2 = (__pyx_t_3 != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = (0.0 <= __pyx_v_djj);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_djj <= (__pyx_v_nc - 1));
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  __pyx_t_1 = __pyx_t_3;
  __pyx_L4_bool_binop_done:;
  __pyx_t_3 = ((!__pyx_t_1) != 0);
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":408
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # find the top left index and the interpolation coefficients
 */
    (__pyx_v_out[0]) = __pyx_t_float_complex_from_parts(0, 0);

    /* "dipy/align/vector_fields.pyx":409
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":407
 *         cnp.npy_intp kk, ii, jj
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (0 <= dkk <= ns - 1 and 0 <= dii <= nr - 1 and 0 <= djj <= nc - 1):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":411
 *         return 0
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)             # <<<<<<<<<<<<<<
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)
 */
  __pyx_v_kk = ((int)floor(__pyx_v_dkk));

  /* "dipy/align/vector_fields.pyx":412
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 *     # no one is affected
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":413
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":415
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_1 = (0 <= __pyx_v_kk);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_kk < __pyx_v_ns);
  }
  __pyx_t_2 = (__pyx_t_1 != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_3 = __pyx_t_2;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_2 = (0 <= __pyx_v_ii);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_ii < __pyx_v_nr);
  }
  __pyx_t_1 = (__pyx_t_2 != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_1 = (0 <= __pyx_v_jj);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_jj < __pyx_v_nc);
  }
  __pyx_t_2 = (__pyx_t_1 != 0);
  __pyx_t_3 = __pyx_t_2;
  __pyx_L8_bool_binop_done:;
  __pyx_t_2 = ((!__pyx_t_3) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":416
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     cgamma = dkk - kk
 */
    (__pyx_v_out[0]) = __pyx_t_float_complex_from_parts(0, 0);

    /* "dipy/align/vector_fields.pyx":417
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":415
 *     jj = <int>floor(djj)
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":418
 *         out[0] = 0
 *         return 0
 *     cgamma = dkk - kk             # <<<<<<<<<<<<<<
 *     calpha = dii - ii
 *     cbeta = djj - jj
 */
  __pyx_v_cgamma = (__pyx_v_dkk - __pyx_v_kk);

  /* "dipy/align/vector_fields.pyx":419
 *         return 0
 *     cgamma = dkk - kk
 *     calpha = dii - ii             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":420
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":421
 *     calpha = dii - ii
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":422
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":423
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma             # <<<<<<<<<<<<<<
 *     if(gamma < cgamma):
 *         kk += 1
 */
  __pyx_v_gamma = (1.0 - __pyx_v_cgamma);

  /* "dipy/align/vector_fields.pyx":424
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):             # <<<<<<<<<<<<<<
 *         kk += 1
 *     if(alpha < calpha):
 */
  __pyx_t_2 = ((__pyx_v_gamma < __pyx_v_cgamma) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":425
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):
 *         kk += 1             # <<<<<<<<<<<<<<
 *     if(alpha < calpha):
 *         ii += 1
 */
    __pyx_v_kk = (__pyx_v_kk + 1);

    /* "dipy/align/vector_fields.pyx":424
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 *     if(gamma < cgamma):             # <<<<<<<<<<<<<<
 *         kk += 1
 *     if(alpha < calpha):
 */
  }

  /* "dipy/align/vector_fields.pyx":426
 *     if(gamma < cgamma):
 *         kk += 1
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  __pyx_t_2 = ((__pyx_v_alpha < __pyx_v_calpha) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":427
 *         kk += 1
 *     if(alpha < calpha):
 *         ii += 1             # <<<<<<<<<<<<<<
 *     if(beta < cbeta):
 *         jj += 1
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":426
 *     if(gamma < cgamma):
 *         kk += 1
 *     if(alpha < calpha):             # <<<<<<<<<<<<<<
 *         ii += 1
 *     if(beta < cbeta):
 */
  }

  /* "dipy/align/vector_fields.pyx":428
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  __pyx_t_2 = ((__pyx_v_beta < __pyx_v_cbeta) != 0);
  if (__pyx_t_2) {

    /* "dipy/align/vector_fields.pyx":429
 *         ii += 1
 *     if(beta < cbeta):
 *         jj += 1             # <<<<<<<<<<<<<<
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":428
 *     if(alpha < calpha):
 *         ii += 1
 *     if(beta < cbeta):             # <<<<<<<<<<<<<<
 *         jj += 1
 *     # no one is affected
 */
  }

  /* "dipy/align/vector_fields.pyx":431
 *         jj += 1
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_3 = (0 <= __pyx_v_kk);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_kk < __pyx_v_ns);
  }
  __pyx_t_1 = (__pyx_t_3 != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_2 = __pyx_t_1;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_1 = (0 <= __pyx_v_ii);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_ii < __pyx_v_nr);
  }
  __pyx_t_3 = (__pyx_t_1 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_2 = __pyx_t_3;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_3 = (0 <= __pyx_v_jj);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_jj < __pyx_v_nc);
  }
  __pyx_t_1 = (__pyx_t_3 != 0);
  __pyx_t_2 = __pyx_t_1;
  __pyx_L15_bool_binop_done:;
  __pyx_t_1 = ((!__pyx_t_2) != 0);
  if (__pyx_t_1) {

    /* "dipy/align/vector_fields.pyx":432
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     out[0] = volume[kk, ii, jj]
 */
    (__pyx_v_out[0]) = __pyx_t_float_complex_from_parts(0, 0);

    /* "dipy/align/vector_fields.pyx":433
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     out[0] = volume[kk, ii, jj]
 *     return 1
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":431
 *         jj += 1
 *     # no one is affected
 *     if not ((0 <= kk < ns) and (0 <= ii < nr) and (0 <= jj < nc)):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":434
 *         out[0] = 0
 *         return 0
 *     out[0] = volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
  __pyx_t_4 = __pyx_v_kk;
  __pyx_t_5 = __pyx_v_ii;
  __pyx_t_6 = __pyx_v_jj;
  (__pyx_v_out[0]) = (*((__pyx_t_float_complex *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_4 * __pyx_v_volume.strides[0]) ) + __pyx_t_5 * __pyx_v_volume.strides[1]) ) + __pyx_t_6 * __pyx_v_volume.strides[2]) )));

  /* "dipy/align/vector_fields.pyx":435
 *         return 0
 *     out[0] = volume[kk, ii, jj]
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":373
 * 
 * 
 * cdef inline int _interpolate_scalar_nn_3d(number[:, :, :] volume, double dkk,             # <<<<<<<<<<<<<<
 *                                          double dii, double djj,
 *                                          number *out) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_6__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__Pyx_memviewslice __pyx_v_volume, double __pyx_v_dkk, double __pyx_v_dii, double __pyx_v_djj, __pyx_t_double_complex *__pyx_v_out) {
  npy_intp __pyx_v_ns;
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_kk;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  double __pyx_v_gamma;
  double __pyx_v_cgamma;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;

  /* "dipy/align/vector_fields.pyx":402
 *     """
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]
 */
  __pyx_v_ns = (__pyx_v_volume.shape[0]);

  /* "dipy/align/vector_fields.pyx":403
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]
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  __pyx_v_nr = (__pyx_v_volume.shape[1]);

  /* "dipy/align/vector_fields.pyx":507
 *         cnp.npy_intp ns = volume.shape[0]
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp kk, ii, jj
 *         int inside
 */
  __pyx_v_nc = (__pyx_v_volume.shape[2]);

  /* "dipy/align/vector_fields.pyx":511
 *         int inside
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = (-1.0 < __pyx_v_dkk);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_dkk < __pyx_v_ns);
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_1 = __pyx_t_3;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_3 = (-1.0 < __pyx_v_dii);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_dii < __pyx_v_nr);
  }
  __pyx_t_2 = (__pyx_t_3 != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = (-1.0 < __pyx_v_djj);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_djj < __pyx_v_nc);
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  __pyx_t_1 = __pyx_t_3;
  __pyx_L4_bool_binop_done:;
  __pyx_t_3 = ((!__pyx_t_1) != 0);
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":512
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # find the top left index and the interpolation coefficients
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":513
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":511
 *         int inside
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":515
 *         return 0
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)             # <<<<<<<<<<<<<<
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)
 */
  __pyx_v_kk = ((int)floor(__pyx_v_dkk));

  /* "dipy/align/vector_fields.pyx":516
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 *     # no one is affected
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":517
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 * 
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":520
 *     # no one is affected
 * 
 *     cgamma = dkk - kk             # <<<<<<<<<<<<<<
 *     calpha = dii - ii
 *     cbeta = djj - jj
 */
  __pyx_v_cgamma = (__pyx_v_dkk - __pyx_v_kk);

  /* "dipy/align/vector_fields.pyx":521
 * 
 *     cgamma = dkk - kk
 *     calpha = dii - ii             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":522
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":523
 *     calpha = dii - ii
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":524
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     gamma = 1 - cgamma
 * 
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":525
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma             # <<<<<<<<<<<<<<
 * 
 *     inside = 0
 */
  __pyx_v_gamma = (1.0 - __pyx_v_cgamma);

  /* "dipy/align/vector_fields.pyx":527
 *     gamma = 1 - cgamma
 * 
 *     inside = 0             # <<<<<<<<<<<<<<
 *     # ---top-left
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):
 */
  __pyx_v_inside = 0;

  /* "dipy/align/vector_fields.pyx":529
 *     inside = 0
 *     # ---top-left
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * gamma * volume[kk, ii, jj]
 *         inside += 1
 */
  __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_jj >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L8_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":530
 *     # ---top-left
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):
 *         out[0] = alpha * beta * gamma * volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     else:
 */
    __pyx_t_4 = __pyx_v_kk;
    __pyx_t_5 = __pyx_v_ii;
    __pyx_t_6 = __pyx_v_jj;
    (__pyx_v_out[0]) = (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_gamma) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_4 * __pyx_v_volume.strides[0]) ) + __pyx_t_5 * __pyx_v_volume.strides[1]) ) + __pyx_t_6 * __pyx_v_volume.strides[2]) ))));

    /* "dipy/align/vector_fields.pyx":531
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):
 *         out[0] = alpha * beta * gamma * volume[kk, ii, jj]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     else:
 *         out[0] = 0
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":529
 *     inside = 0
 *     # ---top-left
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * gamma * volume[kk, ii, jj]
 *         inside += 1
 */
    goto __pyx_L7;
  }

  /* "dipy/align/vector_fields.pyx":533
 *         inside += 1
 *     else:
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *     # ---top-right
 *     jj += 1
 */
  /*else*/ {
    (__pyx_v_out[0]) = 0.0;
  }
  __pyx_L7:;

  /* "dipy/align/vector_fields.pyx":535
 *         out[0] = 0
 *     # ---top-right
 *     jj += 1             # <<<<<<<<<<<<<<
 *     if (ii >= 0) and (jj < nc) and (kk >= 0):
 *         out[0] += alpha * cbeta * gamma * volume[kk, ii, jj]
 */
  __pyx_v_jj = (__pyx_v_jj + 1);

  /* "dipy/align/vector_fields.pyx":536
 *     # ---top-right
 *     jj += 1
 *     if (ii >= 0) and (jj < nc) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * gamma * volume[kk, ii, jj]
 *         inside += 1
 */
  __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L12_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L12_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L12_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":537
 *     jj += 1
 *     if (ii >= 0) and (jj < nc) and (kk >= 0):
 *         out[0] += alpha * cbeta * gamma * volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-right
 */
    __pyx_t_7 = 0;
    __pyx_t_8 = __pyx_v_kk;
    __pyx_t_9 = __pyx_v_ii;
    __pyx_t_10 = __pyx_v_jj;
    (__pyx_v_out[__pyx_t_7]) = ((__pyx_v_out[__pyx_t_7]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_8 * __pyx_v_volume.strides[0]) ) + __pyx_t_9 * __pyx_v_volume.strides[1]) ) + __pyx_t_10 * __pyx_v_volume.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":538
 *     if (ii >= 0) and (jj < nc) and (kk >= 0):
 *         out[0] += alpha * cbeta * gamma * volume[kk, ii, jj]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-right
 *     ii += 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":536
 *     # ---top-right
 *     jj += 1
 *     if (ii >= 0) and (jj < nc) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * gamma * volume[kk, ii, jj]
 *         inside += 1
 */
  }

  /* "dipy/align/vector_fields.pyx":540
 *         inside += 1
 *     # ---bottom-right
 *     ii += 1             # <<<<<<<<<<<<<<
 *     if (ii < nr) and (jj < nc) and (kk >= 0):
 *         out[0] += calpha * cbeta * gamma * volume[kk, ii, jj]
 */
  __pyx_v_ii = (__pyx_v_ii + 1);

  /* "dipy/align/vector_fields.pyx":541
 *     # ---bottom-right
 *     ii += 1
 *     if (ii < nr) and (jj < nc) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * gamma * volume[kk, ii, jj]
 *         inside += 1
 */
  __pyx_t_1 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L16_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":542
 *     ii += 1
 *     if (ii < nr) and (jj < nc) and (kk >= 0):
 *         out[0] += calpha * cbeta * gamma * volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-left
 */
    __pyx_t_7 = 0;
    __pyx_t_11 = __pyx_v_kk;
    __pyx_t_12 = __pyx_v_ii;
    __pyx_t_13 = __pyx_v_jj;
    (__pyx_v_out[__pyx_t_7]) = ((__pyx_v_out[__pyx_t_7]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_11 * __pyx_v_volume.strides[0]) ) + __pyx_t_12 * __pyx_v_volume.strides[1]) ) + __pyx_t_13 * __pyx_v_volume.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":543
 *     if (ii < nr) and (jj < nc) and (kk >= 0):
 *         out[0] += calpha * cbeta * gamma * volume[kk, ii, jj]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-left
 *     jj -= 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":541
 *     # ---bottom-right
 *     ii += 1
 *     if (ii < nr) and (jj < nc) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * gamma * volume[kk, ii, jj]
 *         inside += 1
 */
  }

  /* "dipy/align/vector_fields.pyx":545
 *         inside += 1
 *     # ---bottom-left
 *     jj -= 1             # <<<<<<<<<<<<<<
 *     if (ii < nr) and (jj >= 0) and (kk >= 0):
 *         out[0] += calpha * beta * gamma * volume[kk, ii, jj]
 */
  __pyx_v_jj = (__pyx_v_jj - 1);

  /* "dipy/align/vector_fields.pyx":546
 *     # ---bottom-left
 *     jj -= 1
 *     if (ii < nr) and (jj >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * gamma * volume[kk, ii, jj]
 *         inside += 1
 */
  __pyx_t_1 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L20_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_jj >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L20_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L20_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":547
 *     jj -= 1
 *     if (ii < nr) and (jj >= 0) and (kk >= 0):
 *         out[0] += calpha * beta * gamma * volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     kk += 1
 */
    __pyx_t_7 = 0;
    __pyx_t_14 = __pyx_v_kk;
    __pyx_t_15 = __pyx_v_ii;
    __pyx_t_16 = __pyx_v_jj;
    (__pyx_v_out[__pyx_t_7]) = ((__pyx_v_out[__pyx_t_7]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_gamma) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_14 * __pyx_v_volume.strides[0]) ) + __pyx_t_15 * __pyx_v_volume.strides[1]) ) + __pyx_t_16 * __pyx_v_volume.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":548
 *     if (ii < nr) and (jj >= 0) and (kk >= 0):
 *         out[0] += calpha * beta * gamma * volume[kk, ii, jj]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     kk += 1
 *     if(kk < ns):
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":546
 *     # ---bottom-left
 *     jj -= 1
 *     if (ii < nr) and (jj >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * gamma * volume[kk, ii, jj]
 *         inside += 1
 */
  }

  /* "dipy/align/vector_fields.pyx":549
 *         out[0] += calpha * beta * gamma * volume[kk, ii, jj]
 *         inside += 1
 *     kk += 1             # <<<<<<<<<<<<<<
 *     if(kk < ns):
 *         ii -= 1
 */
  __pyx_v_kk = (__pyx_v_kk + 1);

  /* "dipy/align/vector_fields.pyx":550
 *         inside += 1
 *     kk += 1
 *     if(kk < ns):             # <<<<<<<<<<<<<<
 *         ii -= 1
 *         if (ii >= 0) and (jj >= 0):
 */
  __pyx_t_3 = ((__pyx_v_kk < __pyx_v_ns) != 0);
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":551
 *     kk += 1
 *     if(kk < ns):
 *         ii -= 1             # <<<<<<<<<<<<<<
 *         if (ii >= 0) and (jj >= 0):
 *             out[0] += alpha * beta * cgamma * volume[kk, ii, jj]
 */
    __pyx_v_ii = (__pyx_v_ii - 1);

    /* "dipy/align/vector_fields.pyx":552
 *     if(kk < ns):
 *         ii -= 1
 *         if (ii >= 0) and (jj >= 0):             # <<<<<<<<<<<<<<
 *             out[0] += alpha * beta * cgamma * volume[kk, ii, jj]
 *             inside += 1
 */
    __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_3 = __pyx_t_1;
      goto __pyx_L25_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_jj >= 0) != 0);
    __pyx_t_3 = __pyx_t_1;
    __pyx_L25_bool_binop_done:;
    if (__pyx_t_3) {

      /* "dipy/align/vector_fields.pyx":553
 *         ii -= 1
 *         if (ii >= 0) and (jj >= 0):
 *             out[0] += alpha * beta * cgamma * volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *             inside += 1
 *         jj += 1
 */
      __pyx_t_7 = 0;
      __pyx_t_17 = __pyx_v_kk;
      __pyx_t_18 = __pyx_v_ii;
      __pyx_t_19 = __pyx_v_jj;
      (__pyx_v_out[__pyx_t_7]) = ((__pyx_v_out[__pyx_t_7]) + (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_17 * __pyx_v_volume.strides[0]) ) + __pyx_t_18 * __pyx_v_volume.strides[1]) ) + __pyx_t_19 * __pyx_v_volume.strides[2]) )))));

      /* "dipy/align/vector_fields.pyx":554
 *         if (ii >= 0) and (jj >= 0):
 *             out[0] += alpha * beta * cgamma * volume[kk, ii, jj]
 *             inside += 1             # <<<<<<<<<<<<<<
 *         jj += 1
 *         if (ii >= 0) and (jj < nc):
 */
      __pyx_v_inside = (__pyx_v_inside + 1);

      /* "dipy/align/vector_fields.pyx":552
 *     if(kk < ns):
 *         ii -= 1
 *         if (ii >= 0) and (jj >= 0):             # <<<<<<<<<<<<<<
 *             out[0] += alpha * beta * cgamma * volume[kk, ii, jj]
 *             inside += 1
 */
    }

    /* "dipy/align/vector_fields.pyx":555
 *             out[0] += alpha * beta * cgamma * volume[kk, ii, jj]
 *             inside += 1
 *         jj += 1             # <<<<<<<<<<<<<<
 *         if (ii >= 0) and (jj < nc):
 *             out[0] += alpha * cbeta * cgamma * volume[kk, ii, jj]
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":556
 *             inside += 1
 *         jj += 1
 *         if (ii >= 0) and (jj < nc):             # <<<<<<<<<<<<<<
 *             out[0] += alpha * cbeta * cgamma * volume[kk, ii, jj]
 *             inside += 1
 */
    __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_3 = __pyx_t_1;
      goto __pyx_L28_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
    __pyx_t_3 = __pyx_t_1;
    __pyx_L28_bool_binop_done:;
    if (__pyx_t_3) {

      /* "dipy/align/vector_fields.pyx":557
 *         jj += 1
 *         if (ii >= 0) and (jj < nc):
 *             out[0] += alpha * cbeta * cgamma * volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *             inside += 1
 *         # ---bottom-right
 */
      __pyx_t_7 = 0;
      __pyx_t_20 = __pyx_v_kk;
      __pyx_t_21 = __pyx_v_ii;
      __pyx_t_22 = __pyx_v_jj;
      (__pyx_v_out[__pyx_t_7]) = ((__pyx_v_out[__pyx_t_7]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_20 * __pyx_v_volume.strides[0]) ) + __pyx_t_21 * __pyx_v_volume.strides[1]) ) + __pyx_t_22 * __pyx_v_volume.strides[2]) )))));

      /* "dipy/align/vector_fields.pyx":558
 *         if (ii >= 0) and (jj < nc):
 *             out[0] += alpha * cbeta * cgamma * volume[kk, ii, jj]
 *             inside += 1             # <<<<<<<<<<<<<<
 *         # ---bottom-right
 *         ii += 1
 */
      __pyx_v_inside = (__pyx_v_inside + 1);

      /* "dipy/align/vector_fields.pyx":556
 *             inside += 1
 *         jj += 1
 *         if (ii >= 0) and (jj < nc):             # <<<<<<<<<<<<<<
 *             out[0] += alpha * cbeta * cgamma * volume[kk, ii, jj]
 *             inside += 1
 */
    }

    /* "dipy/align/vector_fields.pyx":560
 *             inside += 1
 *         # ---bottom-right
 *         ii += 1             # <<<<<<<<<<<<<<
 *         if (ii < nr) and (jj < nc):
 *             out[0] += calpha * cbeta * cgamma * volume[kk, ii, jj]
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":561
 *         # ---bottom-right
 *         ii += 1
 *         if (ii < nr) and (jj < nc):             # <<<<<<<<<<<<<<
 *             out[0] += calpha * cbeta * cgamma * volume[kk, ii, jj]
 *             inside += 1
 */
    __pyx_t_1 = ((__pyx_v_ii < __pyx_v_nr) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_3 = __pyx_t_1;
      goto __pyx_L31_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
    __pyx_t_3 = __pyx_t_1;
    __pyx_L31_bool_binop_done:;
    if (__pyx_t_3) {

      /* "dipy/align/vector_fields.pyx":562
 *         ii += 1
 *         if (ii < nr) and (jj < nc):
 *             out[0] += calpha * cbeta * cgamma * volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *             inside += 1
 *         # ---bottom-left
 */
      __pyx_t_7 = 0;
      __pyx_t_23 = __pyx_v_kk;
      __pyx_t_24 = __pyx_v_ii;
      __pyx_t_25 = __pyx_v_jj;
      (__pyx_v_out[__pyx_t_7]) = ((__pyx_v_out[__pyx_t_7]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_23 * __pyx_v_volume.strides[0]) ) + __pyx_t_24 * __pyx_v_volume.strides[1]) ) + __pyx_t_25 * __pyx_v_volume.strides[2]) )))));

      /* "dipy/align/vector_fields.pyx":563
 *         if (ii < nr) and (jj < nc):
 *             out[0] += calpha * cbeta * cgamma * volume[kk, ii, jj]
 *             inside += 1             # <<<<<<<<<<<<<<
 *         # ---bottom-left
 *         jj -= 1
 */
      __pyx_v_inside = (__pyx_v_inside + 1);

      /* "dipy/align/vector_fields.pyx":561
 *         # ---bottom-right
 *         ii += 1
 *         if (ii < nr) and (jj < nc):             # <<<<<<<<<<<<<<
 *             out[0] += calpha * cbeta * cgamma * volume[kk, ii, jj]
 *             inside += 1
 */
    }

    /* "dipy/align/vector_fields.pyx":565
 *             inside += 1
 *         # ---bottom-left
 *         jj -= 1             # <<<<<<<<<<<<<<
 *         if (ii < nr) and (jj >= 0):
 *             out[0] += calpha * beta * cgamma * volume[kk, ii, jj]
 */
    __pyx_v_jj = (__pyx_v_jj - 1);

    /* "dipy/align/vector_fields.pyx":566
 *         # ---bottom-left
 *         jj -= 1
 *         if (ii < nr) and (jj >= 0):             # <<<<<<<<<<<<<<
 *             out[0] += calpha * beta * cgamma * volume[kk, ii, jj]
 *             inside += 1
 */
    __pyx_t_1 = ((__pyx_v_ii < __pyx_v_nr) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_3 = __pyx_t_1;
      goto __pyx_L34_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_jj >= 0) != 0);
    __pyx_t_3 = __pyx_t_1;
    __pyx_L34_bool_binop_done:;
    if (__pyx_t_3) {

      /* "dipy/align/vector_fields.pyx":567
 *         jj -= 1
 *         if (ii < nr) and (jj >= 0):
 *             out[0] += calpha * beta * cgamma * volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *             inside += 1
 *     return 1 if inside == 8 else 0
 */
      __pyx_t_7 = 0;
      __pyx_t_26 = __pyx_v_kk;
      __pyx_t_27 = __pyx_v_ii;
      __pyx_t_28 = __pyx_v_jj;
      (__pyx_v_out[__pyx_t_7]) = ((__pyx_v_out[__pyx_t_7]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_26 * __pyx_v_volume.strides[0]) ) + __pyx_t_27 * __pyx_v_volume.strides[1]) ) + __pyx_t_28 * __pyx_v_volume.strides[2]) )))));

      /* "dipy/align/vector_fields.pyx":568
 *         if (ii < nr) and (jj >= 0):
 *             out[0] += calpha * beta * cgamma * volume[kk, ii, jj]
 *             inside += 1             # <<<<<<<<<<<<<<
 *     return 1 if inside == 8 else 0
 * 
 */
      __pyx_v_inside = (__pyx_v_inside + 1);

      /* "dipy/align/vector_fields.pyx":566
 *         # ---bottom-left
 *         jj -= 1
 *         if (ii < nr) and (jj >= 0):             # <<<<<<<<<<<<<<
 *             out[0] += calpha * beta * cgamma * volume[kk, ii, jj]
 *             inside += 1
 */
    }

    /* "dipy/align/vector_fields.pyx":550
 *         inside += 1
 *     kk += 1
 *     if(kk < ns):             # <<<<<<<<<<<<<<
 *         ii -= 1
 *         if (ii >= 0) and (jj >= 0):
 */
  }

  /* "dipy/align/vector_fields.pyx":569
 *             out[0] += calpha * beta * cgamma * volume[kk, ii, jj]
 *             inside += 1
 *     return 1 if inside == 8 else 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  if (((__pyx_v_inside == 8) != 0)) {
    __pyx_t_29 = 1;
  } else {
    __pyx_t_29 = 0;
  }
  __pyx_r = __pyx_t_29;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":476
 * 
 * 
 * cdef inline int _interpolate_scalar_3d(floating[:, :, :] volume,             # <<<<<<<<<<<<<<
 *                                        double dkk, double dii, double djj,
 *                                        floating *out) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_3d(__Pyx_memviewslice __pyx_v_volume, double __pyx_v_dkk, double __pyx_v_dii, double __pyx_v_djj, double *__pyx_v_out) {
  npy_intp __pyx_v_ns;
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_kk;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  int __pyx_v_inside;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  double __pyx_v_gamma;
  double __pyx_v_cgamma;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  long __pyx_t_7;
  Py_ssize_t __pyx_t_8;
  Py_ssize_t __pyx_t_9;
  Py_ssize_t __pyx_t_10;
  Py_ssize_t __pyx_t_11;
  Py_ssize_t __pyx_t_12;
  Py_ssize_t __pyx_t_13;
  Py_ssize_t __pyx_t_14;
  Py_ssize_t __pyx_t_15;
  Py_ssize_t __pyx_t_16;
  Py_ssize_t __pyx_t_17;
  Py_ssize_t __pyx_t_18;
  Py_ssize_t __pyx_t_19;
  Py_ssize_t __pyx_t_20;
  Py_ssize_t __pyx_t_21;
  Py_ssize_t __pyx_t_22;
  Py_ssize_t __pyx_t_23;
  Py_ssize_t __pyx_t_24;
  Py_ssize_t __pyx_t_25;
  Py_ssize_t __pyx_t_26;
  Py_ssize_t __pyx_t_27;
  Py_ssize_t __pyx_t_28;
  int __pyx_t_29;

  /* "dipy/align/vector_fields.pyx":505
 *     """
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]
 */
  __pyx_v_ns = (__pyx_v_volume.shape[0]);

  /* "dipy/align/vector_fields.pyx":506
 *     cdef:
 *         cnp.npy_intp ns = volume.shape[0]
 *         cnp.npy_intp nr = volume.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = volume.shape[2]
 *         cnp.npy_intp kk, ii, jj
 */
  __pyx_v_nr = (__pyx_v_volume.shape[1]);

  /* "dipy/align/vector_fields.pyx":507
 *         cnp.npy_intp ns = volume.shape[0]
 *         cnp.npy_intp nr = volume.shape[1]
 *         cnp.npy_intp nc = volume.shape[2]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp kk, ii, jj
 *         int inside
 */
  __pyx_v_nc = (__pyx_v_volume.shape[2]);

  /* "dipy/align/vector_fields.pyx":511
 *         int inside
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  __pyx_t_2 = (-1.0 < __pyx_v_dkk);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_dkk < __pyx_v_ns);
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_1 = __pyx_t_3;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_3 = (-1.0 < __pyx_v_dii);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_dii < __pyx_v_nr);
  }
  __pyx_t_2 = (__pyx_t_3 != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = (-1.0 < __pyx_v_djj);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_djj < __pyx_v_nc);
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  __pyx_t_1 = __pyx_t_3;
  __pyx_L4_bool_binop_done:;
  __pyx_t_3 = ((!__pyx_t_1) != 0);
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":512
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     # find the top left index and the interpolation coefficients
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":513
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):
 *         out[0] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":511
 *         int inside
 *         double alpha, beta, calpha, cbeta, gamma, cgamma
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         return 0
 */
  }

  /* "dipy/align/vector_fields.pyx":515
 *         return 0
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)             # <<<<<<<<<<<<<<
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)
 */
  __pyx_v_kk = ((int)floor(__pyx_v_dkk));

  /* "dipy/align/vector_fields.pyx":516
 *     # find the top left index and the interpolation coefficients
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 *     # no one is affected
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":517
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 *     # no one is affected
 * 
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":520
 *     # no one is affected
 * 
 *     cgamma = dkk - kk             # <<<<<<<<<<<<<<
 *     calpha = dii - ii
 *     cbeta = djj - jj
 */
  __pyx_v_cgamma = (__pyx_v_dkk - __pyx_v_kk);

  /* "dipy/align/vector_fields.pyx":521
 * 
 *     cgamma = dkk - kk
 *     calpha = dii - ii             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":522
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":523
 *     calpha = dii - ii
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":524
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     gamma = 1 - cgamma
 * 
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":525
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma             # <<<<<<<<<<<<<<
 * 
 *     inside = 0
 */
  __pyx_v_gamma = (1.0 - __pyx_v_cgamma);

  /* "dipy/align/vector_fields.pyx":527
 *     gamma = 1 - cgamma
 * 
 *     inside = 0             # <<<<<<<<<<<<<<
 *     # ---top-left
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):
 */
  __pyx_v_inside = 0;

  /* "dipy/align/vector_fields.pyx":529
 *     inside = 0
 *     # ---top-left
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * gamma * volume[kk, ii, jj]
 *         inside += 1
 */
  __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_jj >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L8_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":530
 *     # ---top-left
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):
 *         out[0] = alpha * beta * gamma * volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     else:
 */
    __pyx_t_4 = __pyx_v_kk;
    __pyx_t_5 = __pyx_v_ii;
    __pyx_t_6 = __pyx_v_jj;
    (__pyx_v_out[0]) = (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_gamma) * (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_4 * __pyx_v_volume.strides[0]) ) + __pyx_t_5 * __pyx_v_volume.strides[1]) ) + __pyx_t_6 * __pyx_v_volume.strides[2]) ))));

    /* "dipy/align/vector_fields.pyx":531
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):
 *         out[0] = alpha * beta * gamma * volume[kk, ii, jj]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     else:
 *         out[0] = 0
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":529
 *     inside = 0
 *     # ---top-left
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * gamma * volume[kk, ii, jj]
 *         inside += 1
 */
    goto __pyx_L7;
  }

  /* "dipy/align/vector_fields.pyx":533
 *         inside += 1
 *     else:
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *     # ---top-right
 *     jj += 1
 */
  /*else*/ {
    (__pyx_v_out[0]) = 0.0;
  }
  __pyx_L7:;

  /* "dipy/align/vector_fields.pyx":535
 *         out[0] = 0
 *     # ---top-right
 *     jj += 1             # <<<<<<<<<<<<<<
 *     if (ii >= 0) and (jj < nc) and (kk >= 0):
 *         out[0] += alpha * cbeta * gamma * volume[kk, ii, jj]
 */
  __pyx_v_jj = (__pyx_v_jj + 1);

  /* "dipy/align/vector_fields.pyx":536
 *     # ---top-right
 *     jj += 1
 *     if (ii >= 0) and (jj < nc) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * gamma * volume[kk, ii, jj]
 *         inside += 1
 */
  __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L12_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L12_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L12_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":537
 *     jj += 1
 *     if (ii >= 0) and (jj < nc) and (kk >= 0):
 *         out[0] += alpha * cbeta * gamma * volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-right
 */
    __pyx_t_7 = 0;
    __pyx_t_8 = __pyx_v_kk;
    __pyx_t_9 = __pyx_v_ii;
    __pyx_t_10 = __pyx_v_jj;
    (__pyx_v_out[__pyx_t_7]) = ((__pyx_v_out[__pyx_t_7]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_8 * __pyx_v_volume.strides[0]) ) + __pyx_t_9 * __pyx_v_volume.strides[1]) ) + __pyx_t_10 * __pyx_v_volume.strides[2]) )))));

    /* "dipy/align/vector_fields.pyx":538
 *     if (ii >= 0) and (jj < nc) and (kk >= 0):
 *         out[0] += alpha * cbeta * gamma * volume[kk, ii, jj]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-right
 *     ii += 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":536
 *     # ---top-right
 *     jj += 1
 *     if (ii >= 0) and (jj < nc) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * gamma * volume[kk, ii, jj]
 *         inside += 1
 */
  }

  /* "dipy/align/vector_fields.pyx":540
 *         inside += 1
 *     # ---bottom-right
 *     ii += 1             # <<<<<<<<<<<<<<
 *     if (ii < nr) and (jj < nc) and (kk >= 0):
 *         out[0] += calpha * cbeta * gamma * volume[kk, ii, jj]
 */
  __pyx_v_ii = (__pyx_v_ii + 1);

  /* "dipy/align/vector_fields.pyx":541
 *     # ---bottom-right
 *     ii += 1
 *     if (ii < nr) and (jj < nc) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * gamma * volume[kk, ii, jj]
 *         inside += 1
 */
  __pyx_t_1 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L16_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":542
 *     ii += 1
 *     if (ii < nr) and (jj < nc) and (kk >= 0):
 *         out[0] += calpha * cbeta * gamma * volume[kk, ii, jj]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-left
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    __pyx_t_7 = 0;
    __pyx_t_11 = __pyx_v_kk;
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    __pyx_t_13 = __pyx_v_jj;
    (__pyx_v_out[__pyx_t_7]) = ((__pyx_v_out[__pyx_t_7]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_volume.data + __pyx_t_11 * __pyx_v_volume.strides[0]) ) + __pyx_t_12 * __pyx_v_volume.strides[1]) ) + __pyx_t_13 * __pyx_v_volume.strides[2]) )))));

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 */
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    /* "dipy/align/vector_fields.pyx":547
 *     jj -= 1
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 *         out[0] += calpha * beta * gamma * volume[kk, ii, jj]
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 */
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 *     jj -= 1
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 *         inside += 1
 */
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 *         out[0] += calpha * beta * gamma * volume[kk, ii, jj]
 *         inside += 1
 *     kk += 1             # <<<<<<<<<<<<<<
 *     if(kk < ns):
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 */
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  /* "dipy/align/vector_fields.pyx":550
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 *     if(kk < ns):             # <<<<<<<<<<<<<<
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 *         if (ii >= 0) and (jj >= 0):
 */
  __pyx_t_3 = ((__pyx_v_kk < __pyx_v_ns) != 0);
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    /* "dipy/align/vector_fields.pyx":551
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 *     if(kk < ns):
 *         ii -= 1             # <<<<<<<<<<<<<<
 *         if (ii >= 0) and (jj >= 0):
 *             out[0] += alpha * beta * cgamma * volume[kk, ii, jj]
 */
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 *     if(kk < ns):
 *         ii -= 1
 *         if (ii >= 0) and (jj >= 0):             # <<<<<<<<<<<<<<
 *             out[0] += alpha * beta * cgamma * volume[kk, ii, jj]
 *             inside += 1
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      __pyx_t_17 = __pyx_v_kk;
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      __pyx_t_19 = __pyx_v_jj;
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 *             inside += 1
 *         jj += 1             # <<<<<<<<<<<<<<
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 */
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 *             inside += 1
 *         jj += 1
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 */
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  /* "dipy/align/vector_fields.pyx":476
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 * 
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 */

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/* "dipy/align/vector_fields.pyx":572
 * 
 * 
 * def interpolate_vector_3d(floating[:, :, :, :] field, double[:, :] locations):             # <<<<<<<<<<<<<<
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 * 
 */

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    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":646
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):
 *         out[0] = 0
 *         out[1] = 0             # <<<<<<<<<<<<<<
 *         out[2] = 0
 *         return 0
 */
    (__pyx_v_out[1]) = 0.0;

    /* "dipy/align/vector_fields.pyx":647
 *         out[0] = 0
 *         out[1] = 0
 *         out[2] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     #---top-left
 */
    (__pyx_v_out[2]) = 0.0;

    /* "dipy/align/vector_fields.pyx":648
 *         out[1] = 0
 *         out[2] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     #---top-left
 *     kk = <int>floor(dkk)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":644
 *         int inside
 *         double alpha, beta, gamma, calpha, cbeta, cgamma
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         out[1] = 0
 */
  }

  /* "dipy/align/vector_fields.pyx":650
 *         return 0
 *     #---top-left
 *     kk = <int>floor(dkk)             # <<<<<<<<<<<<<<
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)
 */
  __pyx_v_kk = ((int)floor(__pyx_v_dkk));

  /* "dipy/align/vector_fields.pyx":651
 *     #---top-left
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 * 
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":652
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 * 
 *     cgamma = dkk - kk
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":654
 *     jj = <int>floor(djj)
 * 
 *     cgamma = dkk - kk             # <<<<<<<<<<<<<<
 *     calpha = dii - ii
 *     cbeta = djj - jj
 */
  __pyx_v_cgamma = (__pyx_v_dkk - __pyx_v_kk);

  /* "dipy/align/vector_fields.pyx":655
 * 
 *     cgamma = dkk - kk
 *     calpha = dii - ii             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":656
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":657
 *     calpha = dii - ii
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":658
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     gamma = 1 - cgamma
 * 
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":659
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma             # <<<<<<<<<<<<<<
 * 
 *     inside = 0
 */
  __pyx_v_gamma = (1.0 - __pyx_v_cgamma);

  /* "dipy/align/vector_fields.pyx":661
 *     gamma = 1 - cgamma
 * 
 *     inside = 0             # <<<<<<<<<<<<<<
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):
 *         out[0] = alpha * beta * gamma * field[kk, ii, jj, 0]
 */
  __pyx_v_inside = 0;

  /* "dipy/align/vector_fields.pyx":662
 * 
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] = alpha * beta * gamma * field[kk, ii, jj, 1]
 */
  __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_jj >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L8_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":663
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):
 *         out[0] = alpha * beta * gamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] = alpha * beta * gamma * field[kk, ii, jj, 1]
 *         out[2] = alpha * beta * gamma * field[kk, ii, jj, 2]
 */
    __pyx_t_4 = __pyx_v_kk;
    __pyx_t_5 = __pyx_v_ii;
    __pyx_t_6 = __pyx_v_jj;
    __pyx_t_7 = 0;
    (__pyx_v_out[0]) = (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_gamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_4 * __pyx_v_field.strides[0]) ) + __pyx_t_5 * __pyx_v_field.strides[1]) ) + __pyx_t_6 * __pyx_v_field.strides[2]) ) + __pyx_t_7 * __pyx_v_field.strides[3]) ))));

    /* "dipy/align/vector_fields.pyx":664
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):
 *         out[0] = alpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] = alpha * beta * gamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *         out[2] = alpha * beta * gamma * field[kk, ii, jj, 2]
 *         inside += 1
 */
    __pyx_t_8 = __pyx_v_kk;
    __pyx_t_9 = __pyx_v_ii;
    __pyx_t_10 = __pyx_v_jj;
    __pyx_t_11 = 1;
    (__pyx_v_out[1]) = (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_gamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_8 * __pyx_v_field.strides[0]) ) + __pyx_t_9 * __pyx_v_field.strides[1]) ) + __pyx_t_10 * __pyx_v_field.strides[2]) ) + __pyx_t_11 * __pyx_v_field.strides[3]) ))));

    /* "dipy/align/vector_fields.pyx":665
 *         out[0] = alpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] = alpha * beta * gamma * field[kk, ii, jj, 1]
 *         out[2] = alpha * beta * gamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     else:
 */
    __pyx_t_12 = __pyx_v_kk;
    __pyx_t_13 = __pyx_v_ii;
    __pyx_t_14 = __pyx_v_jj;
    __pyx_t_15 = 2;
    (__pyx_v_out[2]) = (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_gamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_12 * __pyx_v_field.strides[0]) ) + __pyx_t_13 * __pyx_v_field.strides[1]) ) + __pyx_t_14 * __pyx_v_field.strides[2]) ) + __pyx_t_15 * __pyx_v_field.strides[3]) ))));

    /* "dipy/align/vector_fields.pyx":666
 *         out[1] = alpha * beta * gamma * field[kk, ii, jj, 1]
 *         out[2] = alpha * beta * gamma * field[kk, ii, jj, 2]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     else:
 *         out[0] = 0
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":662
 * 
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] = alpha * beta * gamma * field[kk, ii, jj, 1]
 */
    goto __pyx_L7;
  }

  /* "dipy/align/vector_fields.pyx":668
 *         inside += 1
 *     else:
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         out[1] = 0
 *         out[2] = 0
 */
  /*else*/ {
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":669
 *     else:
 *         out[0] = 0
 *         out[1] = 0             # <<<<<<<<<<<<<<
 *         out[2] = 0
 *     # ---top-right
 */
    (__pyx_v_out[1]) = 0.0;

    /* "dipy/align/vector_fields.pyx":670
 *         out[0] = 0
 *         out[1] = 0
 *         out[2] = 0             # <<<<<<<<<<<<<<
 *     # ---top-right
 *     jj += 1
 */
    (__pyx_v_out[2]) = 0.0;
  }
  __pyx_L7:;

  /* "dipy/align/vector_fields.pyx":672
 *         out[2] = 0
 *     # ---top-right
 *     jj += 1             # <<<<<<<<<<<<<<
 *     if (jj < nc) and (ii >= 0) and (kk >= 0):
 *         out[0] += alpha * cbeta * gamma * field[kk, ii, jj, 0]
 */
  __pyx_v_jj = (__pyx_v_jj + 1);

  /* "dipy/align/vector_fields.pyx":673
 *     # ---top-right
 *     jj += 1
 *     if (jj < nc) and (ii >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += alpha * cbeta * gamma * field[kk, ii, jj, 1]
 */
  __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L12_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L12_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L12_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":674
 *     jj += 1
 *     if (jj < nc) and (ii >= 0) and (kk >= 0):
 *         out[0] += alpha * cbeta * gamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] += alpha * cbeta * gamma * field[kk, ii, jj, 1]
 *         out[2] += alpha * cbeta * gamma * field[kk, ii, jj, 2]
 */
    __pyx_t_16 = 0;
    __pyx_t_17 = __pyx_v_kk;
    __pyx_t_18 = __pyx_v_ii;
    __pyx_t_19 = __pyx_v_jj;
    __pyx_t_20 = 0;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_17 * __pyx_v_field.strides[0]) ) + __pyx_t_18 * __pyx_v_field.strides[1]) ) + __pyx_t_19 * __pyx_v_field.strides[2]) ) + __pyx_t_20 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":675
 *     if (jj < nc) and (ii >= 0) and (kk >= 0):
 *         out[0] += alpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += alpha * cbeta * gamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *         out[2] += alpha * cbeta * gamma * field[kk, ii, jj, 2]
 *         inside += 1
 */
    __pyx_t_16 = 1;
    __pyx_t_21 = __pyx_v_kk;
    __pyx_t_22 = __pyx_v_ii;
    __pyx_t_23 = __pyx_v_jj;
    __pyx_t_24 = 1;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_21 * __pyx_v_field.strides[0]) ) + __pyx_t_22 * __pyx_v_field.strides[1]) ) + __pyx_t_23 * __pyx_v_field.strides[2]) ) + __pyx_t_24 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":676
 *         out[0] += alpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += alpha * cbeta * gamma * field[kk, ii, jj, 1]
 *         out[2] += alpha * cbeta * gamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-right
 */
    __pyx_t_16 = 2;
    __pyx_t_25 = __pyx_v_kk;
    __pyx_t_26 = __pyx_v_ii;
    __pyx_t_27 = __pyx_v_jj;
    __pyx_t_28 = 2;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_25 * __pyx_v_field.strides[0]) ) + __pyx_t_26 * __pyx_v_field.strides[1]) ) + __pyx_t_27 * __pyx_v_field.strides[2]) ) + __pyx_t_28 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":677
 *         out[1] += alpha * cbeta * gamma * field[kk, ii, jj, 1]
 *         out[2] += alpha * cbeta * gamma * field[kk, ii, jj, 2]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-right
 *     ii += 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":673
 *     # ---top-right
 *     jj += 1
 *     if (jj < nc) and (ii >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += alpha * cbeta * gamma * field[kk, ii, jj, 1]
 */
  }

  /* "dipy/align/vector_fields.pyx":679
 *         inside += 1
 *     # ---bottom-right
 *     ii += 1             # <<<<<<<<<<<<<<
 *     if (jj < nc) and (ii < nr) and (kk >= 0):
 *         out[0] += calpha * cbeta * gamma * field[kk, ii, jj, 0]
 */
  __pyx_v_ii = (__pyx_v_ii + 1);

  /* "dipy/align/vector_fields.pyx":680
 *     # ---bottom-right
 *     ii += 1
 *     if (jj < nc) and (ii < nr) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * cbeta * gamma * field[kk, ii, jj, 1]
 */
  __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L16_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":681
 *     ii += 1
 *     if (jj < nc) and (ii < nr) and (kk >= 0):
 *         out[0] += calpha * cbeta * gamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] += calpha * cbeta * gamma * field[kk, ii, jj, 1]
 *         out[2] += calpha * cbeta * gamma * field[kk, ii, jj, 2]
 */
    __pyx_t_16 = 0;
    __pyx_t_29 = __pyx_v_kk;
    __pyx_t_30 = __pyx_v_ii;
    __pyx_t_31 = __pyx_v_jj;
    __pyx_t_32 = 0;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_29 * __pyx_v_field.strides[0]) ) + __pyx_t_30 * __pyx_v_field.strides[1]) ) + __pyx_t_31 * __pyx_v_field.strides[2]) ) + __pyx_t_32 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":682
 *     if (jj < nc) and (ii < nr) and (kk >= 0):
 *         out[0] += calpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * cbeta * gamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *         out[2] += calpha * cbeta * gamma * field[kk, ii, jj, 2]
 *         inside += 1
 */
    __pyx_t_16 = 1;
    __pyx_t_33 = __pyx_v_kk;
    __pyx_t_34 = __pyx_v_ii;
    __pyx_t_35 = __pyx_v_jj;
    __pyx_t_36 = 1;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_33 * __pyx_v_field.strides[0]) ) + __pyx_t_34 * __pyx_v_field.strides[1]) ) + __pyx_t_35 * __pyx_v_field.strides[2]) ) + __pyx_t_36 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":683
 *         out[0] += calpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * cbeta * gamma * field[kk, ii, jj, 1]
 *         out[2] += calpha * cbeta * gamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-left
 */
    __pyx_t_16 = 2;
    __pyx_t_37 = __pyx_v_kk;
    __pyx_t_38 = __pyx_v_ii;
    __pyx_t_39 = __pyx_v_jj;
    __pyx_t_40 = 2;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_37 * __pyx_v_field.strides[0]) ) + __pyx_t_38 * __pyx_v_field.strides[1]) ) + __pyx_t_39 * __pyx_v_field.strides[2]) ) + __pyx_t_40 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":684
 *         out[1] += calpha * cbeta * gamma * field[kk, ii, jj, 1]
 *         out[2] += calpha * cbeta * gamma * field[kk, ii, jj, 2]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-left
 *     jj -= 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":680
 *     # ---bottom-right
 *     ii += 1
 *     if (jj < nc) and (ii < nr) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * cbeta * gamma * field[kk, ii, jj, 1]
 */
  }

  /* "dipy/align/vector_fields.pyx":686
 *         inside += 1
 *     # ---bottom-left
 *     jj -= 1             # <<<<<<<<<<<<<<
 *     if (jj >= 0) and (ii < nr) and (kk >= 0):
 *         out[0] += calpha * beta * gamma * field[kk, ii, jj, 0]
 */
  __pyx_v_jj = (__pyx_v_jj - 1);

  /* "dipy/align/vector_fields.pyx":687
 *     # ---bottom-left
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * beta * gamma * field[kk, ii, jj, 1]
 */
  __pyx_t_1 = ((__pyx_v_jj >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L20_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L20_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L20_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":688
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr) and (kk >= 0):
 *         out[0] += calpha * beta * gamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] += calpha * beta * gamma * field[kk, ii, jj, 1]
 *         out[2] += calpha * beta * gamma * field[kk, ii, jj, 2]
 */
    __pyx_t_16 = 0;
    __pyx_t_41 = __pyx_v_kk;
    __pyx_t_42 = __pyx_v_ii;
    __pyx_t_43 = __pyx_v_jj;
    __pyx_t_44 = 0;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_gamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_41 * __pyx_v_field.strides[0]) ) + __pyx_t_42 * __pyx_v_field.strides[1]) ) + __pyx_t_43 * __pyx_v_field.strides[2]) ) + __pyx_t_44 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":689
 *     if (jj >= 0) and (ii < nr) and (kk >= 0):
 *         out[0] += calpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * beta * gamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *         out[2] += calpha * beta * gamma * field[kk, ii, jj, 2]
 *         inside += 1
 */
    __pyx_t_16 = 1;
    __pyx_t_45 = __pyx_v_kk;
    __pyx_t_46 = __pyx_v_ii;
    __pyx_t_47 = __pyx_v_jj;
    __pyx_t_48 = 1;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_gamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_45 * __pyx_v_field.strides[0]) ) + __pyx_t_46 * __pyx_v_field.strides[1]) ) + __pyx_t_47 * __pyx_v_field.strides[2]) ) + __pyx_t_48 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":690
 *         out[0] += calpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * beta * gamma * field[kk, ii, jj, 1]
 *         out[2] += calpha * beta * gamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     kk += 1
 */
    __pyx_t_16 = 2;
    __pyx_t_49 = __pyx_v_kk;
    __pyx_t_50 = __pyx_v_ii;
    __pyx_t_51 = __pyx_v_jj;
    __pyx_t_52 = 2;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_gamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_49 * __pyx_v_field.strides[0]) ) + __pyx_t_50 * __pyx_v_field.strides[1]) ) + __pyx_t_51 * __pyx_v_field.strides[2]) ) + __pyx_t_52 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":691
 *         out[1] += calpha * beta * gamma * field[kk, ii, jj, 1]
 *         out[2] += calpha * beta * gamma * field[kk, ii, jj, 2]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     kk += 1
 *     if (kk < ns):
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":687
 *     # ---bottom-left
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * beta * gamma * field[kk, ii, jj, 1]
 */
  }

  /* "dipy/align/vector_fields.pyx":692
 *         out[2] += calpha * beta * gamma * field[kk, ii, jj, 2]
 *         inside += 1
 *     kk += 1             # <<<<<<<<<<<<<<
 *     if (kk < ns):
 *         ii -= 1
 */
  __pyx_v_kk = (__pyx_v_kk + 1);

  /* "dipy/align/vector_fields.pyx":693
 *         inside += 1
 *     kk += 1
 *     if (kk < ns):             # <<<<<<<<<<<<<<
 *         ii -= 1
 *         if (jj >= 0) and (ii >= 0):
 */
  __pyx_t_3 = ((__pyx_v_kk < __pyx_v_ns) != 0);
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":694
 *     kk += 1
 *     if (kk < ns):
 *         ii -= 1             # <<<<<<<<<<<<<<
 *         if (jj >= 0) and (ii >= 0):
 *             out[0] += alpha * beta * cgamma * field[kk, ii, jj, 0]
 */
    __pyx_v_ii = (__pyx_v_ii - 1);

    /* "dipy/align/vector_fields.pyx":695
 *     if (kk < ns):
 *         ii -= 1
 *         if (jj >= 0) and (ii >= 0):             # <<<<<<<<<<<<<<
 *             out[0] += alpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * beta * cgamma * field[kk, ii, jj, 1]
 */
    __pyx_t_1 = ((__pyx_v_jj >= 0) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_3 = __pyx_t_1;
      goto __pyx_L25_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
    __pyx_t_3 = __pyx_t_1;
    __pyx_L25_bool_binop_done:;
    if (__pyx_t_3) {

      /* "dipy/align/vector_fields.pyx":696
 *         ii -= 1
 *         if (jj >= 0) and (ii >= 0):
 *             out[0] += alpha * beta * cgamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *             out[1] += alpha * beta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += alpha * beta * cgamma * field[kk, ii, jj, 2]
 */
      __pyx_t_16 = 0;
      __pyx_t_53 = __pyx_v_kk;
      __pyx_t_54 = __pyx_v_ii;
      __pyx_t_55 = __pyx_v_jj;
      __pyx_t_56 = 0;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_53 * __pyx_v_field.strides[0]) ) + __pyx_t_54 * __pyx_v_field.strides[1]) ) + __pyx_t_55 * __pyx_v_field.strides[2]) ) + __pyx_t_56 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":697
 *         if (jj >= 0) and (ii >= 0):
 *             out[0] += alpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * beta * cgamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *             out[2] += alpha * beta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1
 */
      __pyx_t_16 = 1;
      __pyx_t_57 = __pyx_v_kk;
      __pyx_t_58 = __pyx_v_ii;
      __pyx_t_59 = __pyx_v_jj;
      __pyx_t_60 = 1;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_57 * __pyx_v_field.strides[0]) ) + __pyx_t_58 * __pyx_v_field.strides[1]) ) + __pyx_t_59 * __pyx_v_field.strides[2]) ) + __pyx_t_60 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":698
 *             out[0] += alpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * beta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += alpha * beta * cgamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *             inside += 1
 *         jj += 1
 */
      __pyx_t_16 = 2;
      __pyx_t_61 = __pyx_v_kk;
      __pyx_t_62 = __pyx_v_ii;
      __pyx_t_63 = __pyx_v_jj;
      __pyx_t_64 = 2;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_61 * __pyx_v_field.strides[0]) ) + __pyx_t_62 * __pyx_v_field.strides[1]) ) + __pyx_t_63 * __pyx_v_field.strides[2]) ) + __pyx_t_64 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":699
 *             out[1] += alpha * beta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += alpha * beta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1             # <<<<<<<<<<<<<<
 *         jj += 1
 *         if (jj < nc) and (ii >= 0):
 */
      __pyx_v_inside = (__pyx_v_inside + 1);

      /* "dipy/align/vector_fields.pyx":695
 *     if (kk < ns):
 *         ii -= 1
 *         if (jj >= 0) and (ii >= 0):             # <<<<<<<<<<<<<<
 *             out[0] += alpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * beta * cgamma * field[kk, ii, jj, 1]
 */
    }

    /* "dipy/align/vector_fields.pyx":700
 *             out[2] += alpha * beta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1
 *         jj += 1             # <<<<<<<<<<<<<<
 *         if (jj < nc) and (ii >= 0):
 *             out[0] += alpha * cbeta * cgamma * field[kk, ii, jj, 0]
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":701
 *             inside += 1
 *         jj += 1
 *         if (jj < nc) and (ii >= 0):             # <<<<<<<<<<<<<<
 *             out[0] += alpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * cbeta * cgamma * field[kk, ii, jj, 1]
 */
    __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_3 = __pyx_t_1;
      goto __pyx_L28_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
    __pyx_t_3 = __pyx_t_1;
    __pyx_L28_bool_binop_done:;
    if (__pyx_t_3) {

      /* "dipy/align/vector_fields.pyx":702
 *         jj += 1
 *         if (jj < nc) and (ii >= 0):
 *             out[0] += alpha * cbeta * cgamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *             out[1] += alpha * cbeta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += alpha * cbeta * cgamma * field[kk, ii, jj, 2]
 */
      __pyx_t_16 = 0;
      __pyx_t_65 = __pyx_v_kk;
      __pyx_t_66 = __pyx_v_ii;
      __pyx_t_67 = __pyx_v_jj;
      __pyx_t_68 = 0;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_65 * __pyx_v_field.strides[0]) ) + __pyx_t_66 * __pyx_v_field.strides[1]) ) + __pyx_t_67 * __pyx_v_field.strides[2]) ) + __pyx_t_68 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":703
 *         if (jj < nc) and (ii >= 0):
 *             out[0] += alpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * cbeta * cgamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *             out[2] += alpha * cbeta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1
 */
      __pyx_t_16 = 1;
      __pyx_t_69 = __pyx_v_kk;
      __pyx_t_70 = __pyx_v_ii;
      __pyx_t_71 = __pyx_v_jj;
      __pyx_t_72 = 1;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_69 * __pyx_v_field.strides[0]) ) + __pyx_t_70 * __pyx_v_field.strides[1]) ) + __pyx_t_71 * __pyx_v_field.strides[2]) ) + __pyx_t_72 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":704
 *             out[0] += alpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * cbeta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += alpha * cbeta * cgamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *             inside += 1
 *         # ---bottom-right
 */
      __pyx_t_16 = 2;
      __pyx_t_73 = __pyx_v_kk;
      __pyx_t_74 = __pyx_v_ii;
      __pyx_t_75 = __pyx_v_jj;
      __pyx_t_76 = 2;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_73 * __pyx_v_field.strides[0]) ) + __pyx_t_74 * __pyx_v_field.strides[1]) ) + __pyx_t_75 * __pyx_v_field.strides[2]) ) + __pyx_t_76 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":705
 *             out[1] += alpha * cbeta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += alpha * cbeta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1             # <<<<<<<<<<<<<<
 *         # ---bottom-right
 *         ii += 1
 */
      __pyx_v_inside = (__pyx_v_inside + 1);

      /* "dipy/align/vector_fields.pyx":701
 *             inside += 1
 *         jj += 1
 *         if (jj < nc) and (ii >= 0):             # <<<<<<<<<<<<<<
 *             out[0] += alpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * cbeta * cgamma * field[kk, ii, jj, 1]
 */
    }

    /* "dipy/align/vector_fields.pyx":707
 *             inside += 1
 *         # ---bottom-right
 *         ii += 1             # <<<<<<<<<<<<<<
 *         if (jj < nc) and (ii < nr):
 *             out[0] += calpha * cbeta * cgamma * field[kk, ii, jj, 0]
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":708
 *         # ---bottom-right
 *         ii += 1
 *         if (jj < nc) and (ii < nr):             # <<<<<<<<<<<<<<
 *             out[0] += calpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * cbeta * cgamma * field[kk, ii, jj, 1]
 */
    __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_3 = __pyx_t_1;
      goto __pyx_L31_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_ii < __pyx_v_nr) != 0);
    __pyx_t_3 = __pyx_t_1;
    __pyx_L31_bool_binop_done:;
    if (__pyx_t_3) {

      /* "dipy/align/vector_fields.pyx":709
 *         ii += 1
 *         if (jj < nc) and (ii < nr):
 *             out[0] += calpha * cbeta * cgamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *             out[1] += calpha * cbeta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += calpha * cbeta * cgamma * field[kk, ii, jj, 2]
 */
      __pyx_t_16 = 0;
      __pyx_t_77 = __pyx_v_kk;
      __pyx_t_78 = __pyx_v_ii;
      __pyx_t_79 = __pyx_v_jj;
      __pyx_t_80 = 0;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_77 * __pyx_v_field.strides[0]) ) + __pyx_t_78 * __pyx_v_field.strides[1]) ) + __pyx_t_79 * __pyx_v_field.strides[2]) ) + __pyx_t_80 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":710
 *         if (jj < nc) and (ii < nr):
 *             out[0] += calpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * cbeta * cgamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *             out[2] += calpha * cbeta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1
 */
      __pyx_t_16 = 1;
      __pyx_t_81 = __pyx_v_kk;
      __pyx_t_82 = __pyx_v_ii;
      __pyx_t_83 = __pyx_v_jj;
      __pyx_t_84 = 1;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_81 * __pyx_v_field.strides[0]) ) + __pyx_t_82 * __pyx_v_field.strides[1]) ) + __pyx_t_83 * __pyx_v_field.strides[2]) ) + __pyx_t_84 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":711
 *             out[0] += calpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * cbeta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += calpha * cbeta * cgamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *             inside += 1
 *         # ---bottom-left
 */
      __pyx_t_16 = 2;
      __pyx_t_85 = __pyx_v_kk;
      __pyx_t_86 = __pyx_v_ii;
      __pyx_t_87 = __pyx_v_jj;
      __pyx_t_88 = 2;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_85 * __pyx_v_field.strides[0]) ) + __pyx_t_86 * __pyx_v_field.strides[1]) ) + __pyx_t_87 * __pyx_v_field.strides[2]) ) + __pyx_t_88 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":712
 *             out[1] += calpha * cbeta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += calpha * cbeta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1             # <<<<<<<<<<<<<<
 *         # ---bottom-left
 *         jj -= 1
 */
      __pyx_v_inside = (__pyx_v_inside + 1);

      /* "dipy/align/vector_fields.pyx":708
 *         # ---bottom-right
 *         ii += 1
 *         if (jj < nc) and (ii < nr):             # <<<<<<<<<<<<<<
 *             out[0] += calpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * cbeta * cgamma * field[kk, ii, jj, 1]
 */
    }

    /* "dipy/align/vector_fields.pyx":714
 *             inside += 1
 *         # ---bottom-left
 *         jj -= 1             # <<<<<<<<<<<<<<
 *         if (jj >= 0) and (ii < nr):
 *             out[0] += calpha * beta * cgamma * field[kk, ii, jj, 0]
 */
    __pyx_v_jj = (__pyx_v_jj - 1);

    /* "dipy/align/vector_fields.pyx":715
 *         # ---bottom-left
 *         jj -= 1
 *         if (jj >= 0) and (ii < nr):             # <<<<<<<<<<<<<<
 *             out[0] += calpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * beta * cgamma * field[kk, ii, jj, 1]
 */
    __pyx_t_1 = ((__pyx_v_jj >= 0) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_3 = __pyx_t_1;
      goto __pyx_L34_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_ii < __pyx_v_nr) != 0);
    __pyx_t_3 = __pyx_t_1;
    __pyx_L34_bool_binop_done:;
    if (__pyx_t_3) {

      /* "dipy/align/vector_fields.pyx":716
 *         jj -= 1
 *         if (jj >= 0) and (ii < nr):
 *             out[0] += calpha * beta * cgamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *             out[1] += calpha * beta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += calpha * beta * cgamma * field[kk, ii, jj, 2]
 */
      __pyx_t_16 = 0;
      __pyx_t_89 = __pyx_v_kk;
      __pyx_t_90 = __pyx_v_ii;
      __pyx_t_91 = __pyx_v_jj;
      __pyx_t_92 = 0;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_89 * __pyx_v_field.strides[0]) ) + __pyx_t_90 * __pyx_v_field.strides[1]) ) + __pyx_t_91 * __pyx_v_field.strides[2]) ) + __pyx_t_92 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":717
 *         if (jj >= 0) and (ii < nr):
 *             out[0] += calpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * beta * cgamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *             out[2] += calpha * beta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1
 */
      __pyx_t_16 = 1;
      __pyx_t_93 = __pyx_v_kk;
      __pyx_t_94 = __pyx_v_ii;
      __pyx_t_95 = __pyx_v_jj;
      __pyx_t_96 = 1;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_93 * __pyx_v_field.strides[0]) ) + __pyx_t_94 * __pyx_v_field.strides[1]) ) + __pyx_t_95 * __pyx_v_field.strides[2]) ) + __pyx_t_96 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":718
 *             out[0] += calpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * beta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += calpha * beta * cgamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *             inside += 1
 *     return 1 if inside == 8 else 0
 */
      __pyx_t_16 = 2;
      __pyx_t_97 = __pyx_v_kk;
      __pyx_t_98 = __pyx_v_ii;
      __pyx_t_99 = __pyx_v_jj;
      __pyx_t_100 = 2;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_97 * __pyx_v_field.strides[0]) ) + __pyx_t_98 * __pyx_v_field.strides[1]) ) + __pyx_t_99 * __pyx_v_field.strides[2]) ) + __pyx_t_100 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":719
 *             out[1] += calpha * beta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += calpha * beta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1             # <<<<<<<<<<<<<<
 *     return 1 if inside == 8 else 0
 * 
 */
      __pyx_v_inside = (__pyx_v_inside + 1);

      /* "dipy/align/vector_fields.pyx":715
 *         # ---bottom-left
 *         jj -= 1
 *         if (jj >= 0) and (ii < nr):             # <<<<<<<<<<<<<<
 *             out[0] += calpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * beta * cgamma * field[kk, ii, jj, 1]
 */
    }

    /* "dipy/align/vector_fields.pyx":693
 *         inside += 1
 *     kk += 1
 *     if (kk < ns):             # <<<<<<<<<<<<<<
 *         ii -= 1
 *         if (jj >= 0) and (ii >= 0):
 */
  }

  /* "dipy/align/vector_fields.pyx":720
 *             out[2] += calpha * beta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1
 *     return 1 if inside == 8 else 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  if (((__pyx_v_inside == 8) != 0)) {
    __pyx_t_101 = 1;
  } else {
    __pyx_t_101 = 0;
  }
  __pyx_r = __pyx_t_101;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":609
 * 
 * 
 * cdef inline int _interpolate_vector_3d(floating[:, :, :, :] field, double dkk,             # <<<<<<<<<<<<<<
 *                                        double dii, double djj,
 *                                        floating* out) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_vector_3d(__Pyx_memviewslice __pyx_v_field, double __pyx_v_dkk, double __pyx_v_dii, double __pyx_v_djj, double *__pyx_v_out) {
  npy_intp __pyx_v_ns;
  npy_intp __pyx_v_nr;
  npy_intp __pyx_v_nc;
  npy_intp __pyx_v_kk;
  npy_intp __pyx_v_ii;
  npy_intp __pyx_v_jj;
  int __pyx_v_inside;
  double __pyx_v_alpha;
  double __pyx_v_beta;
  double __pyx_v_gamma;
  double __pyx_v_calpha;
  double __pyx_v_cbeta;
  double __pyx_v_cgamma;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  Py_ssize_t __pyx_t_7;
  Py_ssize_t __pyx_t_8;
  Py_ssize_t __pyx_t_9;
  Py_ssize_t __pyx_t_10;
  Py_ssize_t __pyx_t_11;
  Py_ssize_t __pyx_t_12;
  Py_ssize_t __pyx_t_13;
  Py_ssize_t __pyx_t_14;
  Py_ssize_t __pyx_t_15;
  long __pyx_t_16;
  Py_ssize_t __pyx_t_17;
  Py_ssize_t __pyx_t_18;
  Py_ssize_t __pyx_t_19;
  Py_ssize_t __pyx_t_20;
  Py_ssize_t __pyx_t_21;
  Py_ssize_t __pyx_t_22;
  Py_ssize_t __pyx_t_23;
  Py_ssize_t __pyx_t_24;
  Py_ssize_t __pyx_t_25;
  Py_ssize_t __pyx_t_26;
  Py_ssize_t __pyx_t_27;
  Py_ssize_t __pyx_t_28;
  Py_ssize_t __pyx_t_29;
  Py_ssize_t __pyx_t_30;
  Py_ssize_t __pyx_t_31;
  Py_ssize_t __pyx_t_32;
  Py_ssize_t __pyx_t_33;
  Py_ssize_t __pyx_t_34;
  Py_ssize_t __pyx_t_35;
  Py_ssize_t __pyx_t_36;
  Py_ssize_t __pyx_t_37;
  Py_ssize_t __pyx_t_38;
  Py_ssize_t __pyx_t_39;
  Py_ssize_t __pyx_t_40;
  Py_ssize_t __pyx_t_41;
  Py_ssize_t __pyx_t_42;
  Py_ssize_t __pyx_t_43;
  Py_ssize_t __pyx_t_44;
  Py_ssize_t __pyx_t_45;
  Py_ssize_t __pyx_t_46;
  Py_ssize_t __pyx_t_47;
  Py_ssize_t __pyx_t_48;
  Py_ssize_t __pyx_t_49;
  Py_ssize_t __pyx_t_50;
  Py_ssize_t __pyx_t_51;
  Py_ssize_t __pyx_t_52;
  Py_ssize_t __pyx_t_53;
  Py_ssize_t __pyx_t_54;
  Py_ssize_t __pyx_t_55;
  Py_ssize_t __pyx_t_56;
  Py_ssize_t __pyx_t_57;
  Py_ssize_t __pyx_t_58;
  Py_ssize_t __pyx_t_59;
  Py_ssize_t __pyx_t_60;
  Py_ssize_t __pyx_t_61;
  Py_ssize_t __pyx_t_62;
  Py_ssize_t __pyx_t_63;
  Py_ssize_t __pyx_t_64;
  Py_ssize_t __pyx_t_65;
  Py_ssize_t __pyx_t_66;
  Py_ssize_t __pyx_t_67;
  Py_ssize_t __pyx_t_68;
  Py_ssize_t __pyx_t_69;
  Py_ssize_t __pyx_t_70;
  Py_ssize_t __pyx_t_71;
  Py_ssize_t __pyx_t_72;
  Py_ssize_t __pyx_t_73;
  Py_ssize_t __pyx_t_74;
  Py_ssize_t __pyx_t_75;
  Py_ssize_t __pyx_t_76;
  Py_ssize_t __pyx_t_77;
  Py_ssize_t __pyx_t_78;
  Py_ssize_t __pyx_t_79;
  Py_ssize_t __pyx_t_80;
  Py_ssize_t __pyx_t_81;
  Py_ssize_t __pyx_t_82;
  Py_ssize_t __pyx_t_83;
  Py_ssize_t __pyx_t_84;
  Py_ssize_t __pyx_t_85;
  Py_ssize_t __pyx_t_86;
  Py_ssize_t __pyx_t_87;
  Py_ssize_t __pyx_t_88;
  Py_ssize_t __pyx_t_89;
  Py_ssize_t __pyx_t_90;
  Py_ssize_t __pyx_t_91;
  Py_ssize_t __pyx_t_92;
  Py_ssize_t __pyx_t_93;
  Py_ssize_t __pyx_t_94;
  Py_ssize_t __pyx_t_95;
  Py_ssize_t __pyx_t_96;
  Py_ssize_t __pyx_t_97;
  Py_ssize_t __pyx_t_98;
  Py_ssize_t __pyx_t_99;
  Py_ssize_t __pyx_t_100;
  int __pyx_t_101;

  /* "dipy/align/vector_fields.pyx":638
 *     """
 *     cdef:
 *         cnp.npy_intp ns = field.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nr = field.shape[1]
 *         cnp.npy_intp nc = field.shape[2]
 */
  __pyx_v_ns = (__pyx_v_field.shape[0]);

  /* "dipy/align/vector_fields.pyx":639
 *     cdef:
 *         cnp.npy_intp ns = field.shape[0]
 *         cnp.npy_intp nr = field.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc = field.shape[2]
 *         cnp.npy_intp kk, ii, jj
 */
  __pyx_v_nr = (__pyx_v_field.shape[1]);

  /* "dipy/align/vector_fields.pyx":640
 *         cnp.npy_intp ns = field.shape[0]
 *         cnp.npy_intp nr = field.shape[1]
 *         cnp.npy_intp nc = field.shape[2]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp kk, ii, jj
 *         int inside
 */
  __pyx_v_nc = (__pyx_v_field.shape[2]);

  /* "dipy/align/vector_fields.pyx":644
 *         int inside
 *         double alpha, beta, gamma, calpha, cbeta, cgamma
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         out[1] = 0
 */
  __pyx_t_2 = (-1.0 < __pyx_v_dkk);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_dkk < __pyx_v_ns);
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_1 = __pyx_t_3;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_3 = (-1.0 < __pyx_v_dii);
  if (__pyx_t_3) {
    __pyx_t_3 = (__pyx_v_dii < __pyx_v_nr);
  }
  __pyx_t_2 = (__pyx_t_3 != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = (-1.0 < __pyx_v_djj);
  if (__pyx_t_2) {
    __pyx_t_2 = (__pyx_v_djj < __pyx_v_nc);
  }
  __pyx_t_3 = (__pyx_t_2 != 0);
  __pyx_t_1 = __pyx_t_3;
  __pyx_L4_bool_binop_done:;
  __pyx_t_3 = ((!__pyx_t_1) != 0);
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":645
 *         double alpha, beta, gamma, calpha, cbeta, cgamma
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         out[1] = 0
 *         out[2] = 0
 */
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":646
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):
 *         out[0] = 0
 *         out[1] = 0             # <<<<<<<<<<<<<<
 *         out[2] = 0
 *         return 0
 */
    (__pyx_v_out[1]) = 0.0;

    /* "dipy/align/vector_fields.pyx":647
 *         out[0] = 0
 *         out[1] = 0
 *         out[2] = 0             # <<<<<<<<<<<<<<
 *         return 0
 *     #---top-left
 */
    (__pyx_v_out[2]) = 0.0;

    /* "dipy/align/vector_fields.pyx":648
 *         out[1] = 0
 *         out[2] = 0
 *         return 0             # <<<<<<<<<<<<<<
 *     #---top-left
 *     kk = <int>floor(dkk)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "dipy/align/vector_fields.pyx":644
 *         int inside
 *         double alpha, beta, gamma, calpha, cbeta, cgamma
 *     if not (-1 < dkk < ns and -1 < dii < nr and -1 < djj < nc):             # <<<<<<<<<<<<<<
 *         out[0] = 0
 *         out[1] = 0
 */
  }

  /* "dipy/align/vector_fields.pyx":650
 *         return 0
 *     #---top-left
 *     kk = <int>floor(dkk)             # <<<<<<<<<<<<<<
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)
 */
  __pyx_v_kk = ((int)floor(__pyx_v_dkk));

  /* "dipy/align/vector_fields.pyx":651
 *     #---top-left
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)             # <<<<<<<<<<<<<<
 *     jj = <int>floor(djj)
 * 
 */
  __pyx_v_ii = ((int)floor(__pyx_v_dii));

  /* "dipy/align/vector_fields.pyx":652
 *     kk = <int>floor(dkk)
 *     ii = <int>floor(dii)
 *     jj = <int>floor(djj)             # <<<<<<<<<<<<<<
 * 
 *     cgamma = dkk - kk
 */
  __pyx_v_jj = ((int)floor(__pyx_v_djj));

  /* "dipy/align/vector_fields.pyx":654
 *     jj = <int>floor(djj)
 * 
 *     cgamma = dkk - kk             # <<<<<<<<<<<<<<
 *     calpha = dii - ii
 *     cbeta = djj - jj
 */
  __pyx_v_cgamma = (__pyx_v_dkk - __pyx_v_kk);

  /* "dipy/align/vector_fields.pyx":655
 * 
 *     cgamma = dkk - kk
 *     calpha = dii - ii             # <<<<<<<<<<<<<<
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 */
  __pyx_v_calpha = (__pyx_v_dii - __pyx_v_ii);

  /* "dipy/align/vector_fields.pyx":656
 *     cgamma = dkk - kk
 *     calpha = dii - ii
 *     cbeta = djj - jj             # <<<<<<<<<<<<<<
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 */
  __pyx_v_cbeta = (__pyx_v_djj - __pyx_v_jj);

  /* "dipy/align/vector_fields.pyx":657
 *     calpha = dii - ii
 *     cbeta = djj - jj
 *     alpha = 1 - calpha             # <<<<<<<<<<<<<<
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma
 */
  __pyx_v_alpha = (1.0 - __pyx_v_calpha);

  /* "dipy/align/vector_fields.pyx":658
 *     cbeta = djj - jj
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta             # <<<<<<<<<<<<<<
 *     gamma = 1 - cgamma
 * 
 */
  __pyx_v_beta = (1.0 - __pyx_v_cbeta);

  /* "dipy/align/vector_fields.pyx":659
 *     alpha = 1 - calpha
 *     beta = 1 - cbeta
 *     gamma = 1 - cgamma             # <<<<<<<<<<<<<<
 * 
 *     inside = 0
 */
  __pyx_v_gamma = (1.0 - __pyx_v_cgamma);

  /* "dipy/align/vector_fields.pyx":661
 *     gamma = 1 - cgamma
 * 
 *     inside = 0             # <<<<<<<<<<<<<<
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):
 *         out[0] = alpha * beta * gamma * field[kk, ii, jj, 0]
 */
  __pyx_v_inside = 0;

  /* "dipy/align/vector_fields.pyx":662
 * 
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] = alpha * beta * gamma * field[kk, ii, jj, 1]
 */
  __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_jj >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L8_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":663
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):
 *         out[0] = alpha * beta * gamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] = alpha * beta * gamma * field[kk, ii, jj, 1]
 *         out[2] = alpha * beta * gamma * field[kk, ii, jj, 2]
 */
    __pyx_t_4 = __pyx_v_kk;
    __pyx_t_5 = __pyx_v_ii;
    __pyx_t_6 = __pyx_v_jj;
    __pyx_t_7 = 0;
    (__pyx_v_out[0]) = (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_gamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_4 * __pyx_v_field.strides[0]) ) + __pyx_t_5 * __pyx_v_field.strides[1]) ) + __pyx_t_6 * __pyx_v_field.strides[2]) ) + __pyx_t_7 * __pyx_v_field.strides[3]) ))));

    /* "dipy/align/vector_fields.pyx":664
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):
 *         out[0] = alpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] = alpha * beta * gamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *         out[2] = alpha * beta * gamma * field[kk, ii, jj, 2]
 *         inside += 1
 */
    __pyx_t_8 = __pyx_v_kk;
    __pyx_t_9 = __pyx_v_ii;
    __pyx_t_10 = __pyx_v_jj;
    __pyx_t_11 = 1;
    (__pyx_v_out[1]) = (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_gamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_8 * __pyx_v_field.strides[0]) ) + __pyx_t_9 * __pyx_v_field.strides[1]) ) + __pyx_t_10 * __pyx_v_field.strides[2]) ) + __pyx_t_11 * __pyx_v_field.strides[3]) ))));

    /* "dipy/align/vector_fields.pyx":665
 *         out[0] = alpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] = alpha * beta * gamma * field[kk, ii, jj, 1]
 *         out[2] = alpha * beta * gamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     else:
 */
    __pyx_t_12 = __pyx_v_kk;
    __pyx_t_13 = __pyx_v_ii;
    __pyx_t_14 = __pyx_v_jj;
    __pyx_t_15 = 2;
    (__pyx_v_out[2]) = (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_gamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_12 * __pyx_v_field.strides[0]) ) + __pyx_t_13 * __pyx_v_field.strides[1]) ) + __pyx_t_14 * __pyx_v_field.strides[2]) ) + __pyx_t_15 * __pyx_v_field.strides[3]) ))));

    /* "dipy/align/vector_fields.pyx":666
 *         out[1] = alpha * beta * gamma * field[kk, ii, jj, 1]
 *         out[2] = alpha * beta * gamma * field[kk, ii, jj, 2]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     else:
 *         out[0] = 0
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":662
 * 
 *     inside = 0
 *     if (ii >= 0) and (jj >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] = alpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] = alpha * beta * gamma * field[kk, ii, jj, 1]
 */
    goto __pyx_L7;
  }

  /* "dipy/align/vector_fields.pyx":668
 *         inside += 1
 *     else:
 *         out[0] = 0             # <<<<<<<<<<<<<<
 *         out[1] = 0
 *         out[2] = 0
 */
  /*else*/ {
    (__pyx_v_out[0]) = 0.0;

    /* "dipy/align/vector_fields.pyx":669
 *     else:
 *         out[0] = 0
 *         out[1] = 0             # <<<<<<<<<<<<<<
 *         out[2] = 0
 *     # ---top-right
 */
    (__pyx_v_out[1]) = 0.0;

    /* "dipy/align/vector_fields.pyx":670
 *         out[0] = 0
 *         out[1] = 0
 *         out[2] = 0             # <<<<<<<<<<<<<<
 *     # ---top-right
 *     jj += 1
 */
    (__pyx_v_out[2]) = 0.0;
  }
  __pyx_L7:;

  /* "dipy/align/vector_fields.pyx":672
 *         out[2] = 0
 *     # ---top-right
 *     jj += 1             # <<<<<<<<<<<<<<
 *     if (jj < nc) and (ii >= 0) and (kk >= 0):
 *         out[0] += alpha * cbeta * gamma * field[kk, ii, jj, 0]
 */
  __pyx_v_jj = (__pyx_v_jj + 1);

  /* "dipy/align/vector_fields.pyx":673
 *     # ---top-right
 *     jj += 1
 *     if (jj < nc) and (ii >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += alpha * cbeta * gamma * field[kk, ii, jj, 1]
 */
  __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L12_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L12_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L12_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":674
 *     jj += 1
 *     if (jj < nc) and (ii >= 0) and (kk >= 0):
 *         out[0] += alpha * cbeta * gamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] += alpha * cbeta * gamma * field[kk, ii, jj, 1]
 *         out[2] += alpha * cbeta * gamma * field[kk, ii, jj, 2]
 */
    __pyx_t_16 = 0;
    __pyx_t_17 = __pyx_v_kk;
    __pyx_t_18 = __pyx_v_ii;
    __pyx_t_19 = __pyx_v_jj;
    __pyx_t_20 = 0;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_17 * __pyx_v_field.strides[0]) ) + __pyx_t_18 * __pyx_v_field.strides[1]) ) + __pyx_t_19 * __pyx_v_field.strides[2]) ) + __pyx_t_20 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":675
 *     if (jj < nc) and (ii >= 0) and (kk >= 0):
 *         out[0] += alpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += alpha * cbeta * gamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *         out[2] += alpha * cbeta * gamma * field[kk, ii, jj, 2]
 *         inside += 1
 */
    __pyx_t_16 = 1;
    __pyx_t_21 = __pyx_v_kk;
    __pyx_t_22 = __pyx_v_ii;
    __pyx_t_23 = __pyx_v_jj;
    __pyx_t_24 = 1;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_21 * __pyx_v_field.strides[0]) ) + __pyx_t_22 * __pyx_v_field.strides[1]) ) + __pyx_t_23 * __pyx_v_field.strides[2]) ) + __pyx_t_24 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":676
 *         out[0] += alpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += alpha * cbeta * gamma * field[kk, ii, jj, 1]
 *         out[2] += alpha * cbeta * gamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-right
 */
    __pyx_t_16 = 2;
    __pyx_t_25 = __pyx_v_kk;
    __pyx_t_26 = __pyx_v_ii;
    __pyx_t_27 = __pyx_v_jj;
    __pyx_t_28 = 2;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_25 * __pyx_v_field.strides[0]) ) + __pyx_t_26 * __pyx_v_field.strides[1]) ) + __pyx_t_27 * __pyx_v_field.strides[2]) ) + __pyx_t_28 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":677
 *         out[1] += alpha * cbeta * gamma * field[kk, ii, jj, 1]
 *         out[2] += alpha * cbeta * gamma * field[kk, ii, jj, 2]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-right
 *     ii += 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":673
 *     # ---top-right
 *     jj += 1
 *     if (jj < nc) and (ii >= 0) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += alpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += alpha * cbeta * gamma * field[kk, ii, jj, 1]
 */
  }

  /* "dipy/align/vector_fields.pyx":679
 *         inside += 1
 *     # ---bottom-right
 *     ii += 1             # <<<<<<<<<<<<<<
 *     if (jj < nc) and (ii < nr) and (kk >= 0):
 *         out[0] += calpha * cbeta * gamma * field[kk, ii, jj, 0]
 */
  __pyx_v_ii = (__pyx_v_ii + 1);

  /* "dipy/align/vector_fields.pyx":680
 *     # ---bottom-right
 *     ii += 1
 *     if (jj < nc) and (ii < nr) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * cbeta * gamma * field[kk, ii, jj, 1]
 */
  __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L16_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L16_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":681
 *     ii += 1
 *     if (jj < nc) and (ii < nr) and (kk >= 0):
 *         out[0] += calpha * cbeta * gamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] += calpha * cbeta * gamma * field[kk, ii, jj, 1]
 *         out[2] += calpha * cbeta * gamma * field[kk, ii, jj, 2]
 */
    __pyx_t_16 = 0;
    __pyx_t_29 = __pyx_v_kk;
    __pyx_t_30 = __pyx_v_ii;
    __pyx_t_31 = __pyx_v_jj;
    __pyx_t_32 = 0;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_29 * __pyx_v_field.strides[0]) ) + __pyx_t_30 * __pyx_v_field.strides[1]) ) + __pyx_t_31 * __pyx_v_field.strides[2]) ) + __pyx_t_32 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":682
 *     if (jj < nc) and (ii < nr) and (kk >= 0):
 *         out[0] += calpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * cbeta * gamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *         out[2] += calpha * cbeta * gamma * field[kk, ii, jj, 2]
 *         inside += 1
 */
    __pyx_t_16 = 1;
    __pyx_t_33 = __pyx_v_kk;
    __pyx_t_34 = __pyx_v_ii;
    __pyx_t_35 = __pyx_v_jj;
    __pyx_t_36 = 1;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_33 * __pyx_v_field.strides[0]) ) + __pyx_t_34 * __pyx_v_field.strides[1]) ) + __pyx_t_35 * __pyx_v_field.strides[2]) ) + __pyx_t_36 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":683
 *         out[0] += calpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * cbeta * gamma * field[kk, ii, jj, 1]
 *         out[2] += calpha * cbeta * gamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     # ---bottom-left
 */
    __pyx_t_16 = 2;
    __pyx_t_37 = __pyx_v_kk;
    __pyx_t_38 = __pyx_v_ii;
    __pyx_t_39 = __pyx_v_jj;
    __pyx_t_40 = 2;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_gamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_37 * __pyx_v_field.strides[0]) ) + __pyx_t_38 * __pyx_v_field.strides[1]) ) + __pyx_t_39 * __pyx_v_field.strides[2]) ) + __pyx_t_40 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":684
 *         out[1] += calpha * cbeta * gamma * field[kk, ii, jj, 1]
 *         out[2] += calpha * cbeta * gamma * field[kk, ii, jj, 2]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     # ---bottom-left
 *     jj -= 1
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":680
 *     # ---bottom-right
 *     ii += 1
 *     if (jj < nc) and (ii < nr) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * cbeta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * cbeta * gamma * field[kk, ii, jj, 1]
 */
  }

  /* "dipy/align/vector_fields.pyx":686
 *         inside += 1
 *     # ---bottom-left
 *     jj -= 1             # <<<<<<<<<<<<<<
 *     if (jj >= 0) and (ii < nr) and (kk >= 0):
 *         out[0] += calpha * beta * gamma * field[kk, ii, jj, 0]
 */
  __pyx_v_jj = (__pyx_v_jj - 1);

  /* "dipy/align/vector_fields.pyx":687
 *     # ---bottom-left
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * beta * gamma * field[kk, ii, jj, 1]
 */
  __pyx_t_1 = ((__pyx_v_jj >= 0) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L20_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_ii < __pyx_v_nr) != 0);
  if (__pyx_t_1) {
  } else {
    __pyx_t_3 = __pyx_t_1;
    goto __pyx_L20_bool_binop_done;
  }
  __pyx_t_1 = ((__pyx_v_kk >= 0) != 0);
  __pyx_t_3 = __pyx_t_1;
  __pyx_L20_bool_binop_done:;
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":688
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr) and (kk >= 0):
 *         out[0] += calpha * beta * gamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *         out[1] += calpha * beta * gamma * field[kk, ii, jj, 1]
 *         out[2] += calpha * beta * gamma * field[kk, ii, jj, 2]
 */
    __pyx_t_16 = 0;
    __pyx_t_41 = __pyx_v_kk;
    __pyx_t_42 = __pyx_v_ii;
    __pyx_t_43 = __pyx_v_jj;
    __pyx_t_44 = 0;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_gamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_41 * __pyx_v_field.strides[0]) ) + __pyx_t_42 * __pyx_v_field.strides[1]) ) + __pyx_t_43 * __pyx_v_field.strides[2]) ) + __pyx_t_44 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":689
 *     if (jj >= 0) and (ii < nr) and (kk >= 0):
 *         out[0] += calpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * beta * gamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *         out[2] += calpha * beta * gamma * field[kk, ii, jj, 2]
 *         inside += 1
 */
    __pyx_t_16 = 1;
    __pyx_t_45 = __pyx_v_kk;
    __pyx_t_46 = __pyx_v_ii;
    __pyx_t_47 = __pyx_v_jj;
    __pyx_t_48 = 1;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_gamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_45 * __pyx_v_field.strides[0]) ) + __pyx_t_46 * __pyx_v_field.strides[1]) ) + __pyx_t_47 * __pyx_v_field.strides[2]) ) + __pyx_t_48 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":690
 *         out[0] += calpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * beta * gamma * field[kk, ii, jj, 1]
 *         out[2] += calpha * beta * gamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *         inside += 1
 *     kk += 1
 */
    __pyx_t_16 = 2;
    __pyx_t_49 = __pyx_v_kk;
    __pyx_t_50 = __pyx_v_ii;
    __pyx_t_51 = __pyx_v_jj;
    __pyx_t_52 = 2;
    (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_gamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_49 * __pyx_v_field.strides[0]) ) + __pyx_t_50 * __pyx_v_field.strides[1]) ) + __pyx_t_51 * __pyx_v_field.strides[2]) ) + __pyx_t_52 * __pyx_v_field.strides[3]) )))));

    /* "dipy/align/vector_fields.pyx":691
 *         out[1] += calpha * beta * gamma * field[kk, ii, jj, 1]
 *         out[2] += calpha * beta * gamma * field[kk, ii, jj, 2]
 *         inside += 1             # <<<<<<<<<<<<<<
 *     kk += 1
 *     if (kk < ns):
 */
    __pyx_v_inside = (__pyx_v_inside + 1);

    /* "dipy/align/vector_fields.pyx":687
 *     # ---bottom-left
 *     jj -= 1
 *     if (jj >= 0) and (ii < nr) and (kk >= 0):             # <<<<<<<<<<<<<<
 *         out[0] += calpha * beta * gamma * field[kk, ii, jj, 0]
 *         out[1] += calpha * beta * gamma * field[kk, ii, jj, 1]
 */
  }

  /* "dipy/align/vector_fields.pyx":692
 *         out[2] += calpha * beta * gamma * field[kk, ii, jj, 2]
 *         inside += 1
 *     kk += 1             # <<<<<<<<<<<<<<
 *     if (kk < ns):
 *         ii -= 1
 */
  __pyx_v_kk = (__pyx_v_kk + 1);

  /* "dipy/align/vector_fields.pyx":693
 *         inside += 1
 *     kk += 1
 *     if (kk < ns):             # <<<<<<<<<<<<<<
 *         ii -= 1
 *         if (jj >= 0) and (ii >= 0):
 */
  __pyx_t_3 = ((__pyx_v_kk < __pyx_v_ns) != 0);
  if (__pyx_t_3) {

    /* "dipy/align/vector_fields.pyx":694
 *     kk += 1
 *     if (kk < ns):
 *         ii -= 1             # <<<<<<<<<<<<<<
 *         if (jj >= 0) and (ii >= 0):
 *             out[0] += alpha * beta * cgamma * field[kk, ii, jj, 0]
 */
    __pyx_v_ii = (__pyx_v_ii - 1);

    /* "dipy/align/vector_fields.pyx":695
 *     if (kk < ns):
 *         ii -= 1
 *         if (jj >= 0) and (ii >= 0):             # <<<<<<<<<<<<<<
 *             out[0] += alpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * beta * cgamma * field[kk, ii, jj, 1]
 */
    __pyx_t_1 = ((__pyx_v_jj >= 0) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_3 = __pyx_t_1;
      goto __pyx_L25_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
    __pyx_t_3 = __pyx_t_1;
    __pyx_L25_bool_binop_done:;
    if (__pyx_t_3) {

      /* "dipy/align/vector_fields.pyx":696
 *         ii -= 1
 *         if (jj >= 0) and (ii >= 0):
 *             out[0] += alpha * beta * cgamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *             out[1] += alpha * beta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += alpha * beta * cgamma * field[kk, ii, jj, 2]
 */
      __pyx_t_16 = 0;
      __pyx_t_53 = __pyx_v_kk;
      __pyx_t_54 = __pyx_v_ii;
      __pyx_t_55 = __pyx_v_jj;
      __pyx_t_56 = 0;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_53 * __pyx_v_field.strides[0]) ) + __pyx_t_54 * __pyx_v_field.strides[1]) ) + __pyx_t_55 * __pyx_v_field.strides[2]) ) + __pyx_t_56 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":697
 *         if (jj >= 0) and (ii >= 0):
 *             out[0] += alpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * beta * cgamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *             out[2] += alpha * beta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1
 */
      __pyx_t_16 = 1;
      __pyx_t_57 = __pyx_v_kk;
      __pyx_t_58 = __pyx_v_ii;
      __pyx_t_59 = __pyx_v_jj;
      __pyx_t_60 = 1;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_57 * __pyx_v_field.strides[0]) ) + __pyx_t_58 * __pyx_v_field.strides[1]) ) + __pyx_t_59 * __pyx_v_field.strides[2]) ) + __pyx_t_60 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":698
 *             out[0] += alpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * beta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += alpha * beta * cgamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *             inside += 1
 *         jj += 1
 */
      __pyx_t_16 = 2;
      __pyx_t_61 = __pyx_v_kk;
      __pyx_t_62 = __pyx_v_ii;
      __pyx_t_63 = __pyx_v_jj;
      __pyx_t_64 = 2;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_61 * __pyx_v_field.strides[0]) ) + __pyx_t_62 * __pyx_v_field.strides[1]) ) + __pyx_t_63 * __pyx_v_field.strides[2]) ) + __pyx_t_64 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":699
 *             out[1] += alpha * beta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += alpha * beta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1             # <<<<<<<<<<<<<<
 *         jj += 1
 *         if (jj < nc) and (ii >= 0):
 */
      __pyx_v_inside = (__pyx_v_inside + 1);

      /* "dipy/align/vector_fields.pyx":695
 *     if (kk < ns):
 *         ii -= 1
 *         if (jj >= 0) and (ii >= 0):             # <<<<<<<<<<<<<<
 *             out[0] += alpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * beta * cgamma * field[kk, ii, jj, 1]
 */
    }

    /* "dipy/align/vector_fields.pyx":700
 *             out[2] += alpha * beta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1
 *         jj += 1             # <<<<<<<<<<<<<<
 *         if (jj < nc) and (ii >= 0):
 *             out[0] += alpha * cbeta * cgamma * field[kk, ii, jj, 0]
 */
    __pyx_v_jj = (__pyx_v_jj + 1);

    /* "dipy/align/vector_fields.pyx":701
 *             inside += 1
 *         jj += 1
 *         if (jj < nc) and (ii >= 0):             # <<<<<<<<<<<<<<
 *             out[0] += alpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * cbeta * cgamma * field[kk, ii, jj, 1]
 */
    __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_3 = __pyx_t_1;
      goto __pyx_L28_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_ii >= 0) != 0);
    __pyx_t_3 = __pyx_t_1;
    __pyx_L28_bool_binop_done:;
    if (__pyx_t_3) {

      /* "dipy/align/vector_fields.pyx":702
 *         jj += 1
 *         if (jj < nc) and (ii >= 0):
 *             out[0] += alpha * cbeta * cgamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *             out[1] += alpha * cbeta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += alpha * cbeta * cgamma * field[kk, ii, jj, 2]
 */
      __pyx_t_16 = 0;
      __pyx_t_65 = __pyx_v_kk;
      __pyx_t_66 = __pyx_v_ii;
      __pyx_t_67 = __pyx_v_jj;
      __pyx_t_68 = 0;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_65 * __pyx_v_field.strides[0]) ) + __pyx_t_66 * __pyx_v_field.strides[1]) ) + __pyx_t_67 * __pyx_v_field.strides[2]) ) + __pyx_t_68 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":703
 *         if (jj < nc) and (ii >= 0):
 *             out[0] += alpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * cbeta * cgamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *             out[2] += alpha * cbeta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1
 */
      __pyx_t_16 = 1;
      __pyx_t_69 = __pyx_v_kk;
      __pyx_t_70 = __pyx_v_ii;
      __pyx_t_71 = __pyx_v_jj;
      __pyx_t_72 = 1;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_69 * __pyx_v_field.strides[0]) ) + __pyx_t_70 * __pyx_v_field.strides[1]) ) + __pyx_t_71 * __pyx_v_field.strides[2]) ) + __pyx_t_72 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":704
 *             out[0] += alpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * cbeta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += alpha * cbeta * cgamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *             inside += 1
 *         # ---bottom-right
 */
      __pyx_t_16 = 2;
      __pyx_t_73 = __pyx_v_kk;
      __pyx_t_74 = __pyx_v_ii;
      __pyx_t_75 = __pyx_v_jj;
      __pyx_t_76 = 2;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_alpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_73 * __pyx_v_field.strides[0]) ) + __pyx_t_74 * __pyx_v_field.strides[1]) ) + __pyx_t_75 * __pyx_v_field.strides[2]) ) + __pyx_t_76 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":705
 *             out[1] += alpha * cbeta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += alpha * cbeta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1             # <<<<<<<<<<<<<<
 *         # ---bottom-right
 *         ii += 1
 */
      __pyx_v_inside = (__pyx_v_inside + 1);

      /* "dipy/align/vector_fields.pyx":701
 *             inside += 1
 *         jj += 1
 *         if (jj < nc) and (ii >= 0):             # <<<<<<<<<<<<<<
 *             out[0] += alpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += alpha * cbeta * cgamma * field[kk, ii, jj, 1]
 */
    }

    /* "dipy/align/vector_fields.pyx":707
 *             inside += 1
 *         # ---bottom-right
 *         ii += 1             # <<<<<<<<<<<<<<
 *         if (jj < nc) and (ii < nr):
 *             out[0] += calpha * cbeta * cgamma * field[kk, ii, jj, 0]
 */
    __pyx_v_ii = (__pyx_v_ii + 1);

    /* "dipy/align/vector_fields.pyx":708
 *         # ---bottom-right
 *         ii += 1
 *         if (jj < nc) and (ii < nr):             # <<<<<<<<<<<<<<
 *             out[0] += calpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * cbeta * cgamma * field[kk, ii, jj, 1]
 */
    __pyx_t_1 = ((__pyx_v_jj < __pyx_v_nc) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_3 = __pyx_t_1;
      goto __pyx_L31_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_ii < __pyx_v_nr) != 0);
    __pyx_t_3 = __pyx_t_1;
    __pyx_L31_bool_binop_done:;
    if (__pyx_t_3) {

      /* "dipy/align/vector_fields.pyx":709
 *         ii += 1
 *         if (jj < nc) and (ii < nr):
 *             out[0] += calpha * cbeta * cgamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *             out[1] += calpha * cbeta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += calpha * cbeta * cgamma * field[kk, ii, jj, 2]
 */
      __pyx_t_16 = 0;
      __pyx_t_77 = __pyx_v_kk;
      __pyx_t_78 = __pyx_v_ii;
      __pyx_t_79 = __pyx_v_jj;
      __pyx_t_80 = 0;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_77 * __pyx_v_field.strides[0]) ) + __pyx_t_78 * __pyx_v_field.strides[1]) ) + __pyx_t_79 * __pyx_v_field.strides[2]) ) + __pyx_t_80 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":710
 *         if (jj < nc) and (ii < nr):
 *             out[0] += calpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * cbeta * cgamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *             out[2] += calpha * cbeta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1
 */
      __pyx_t_16 = 1;
      __pyx_t_81 = __pyx_v_kk;
      __pyx_t_82 = __pyx_v_ii;
      __pyx_t_83 = __pyx_v_jj;
      __pyx_t_84 = 1;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_81 * __pyx_v_field.strides[0]) ) + __pyx_t_82 * __pyx_v_field.strides[1]) ) + __pyx_t_83 * __pyx_v_field.strides[2]) ) + __pyx_t_84 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":711
 *             out[0] += calpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * cbeta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += calpha * cbeta * cgamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *             inside += 1
 *         # ---bottom-left
 */
      __pyx_t_16 = 2;
      __pyx_t_85 = __pyx_v_kk;
      __pyx_t_86 = __pyx_v_ii;
      __pyx_t_87 = __pyx_v_jj;
      __pyx_t_88 = 2;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_cbeta) * __pyx_v_cgamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_85 * __pyx_v_field.strides[0]) ) + __pyx_t_86 * __pyx_v_field.strides[1]) ) + __pyx_t_87 * __pyx_v_field.strides[2]) ) + __pyx_t_88 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":712
 *             out[1] += calpha * cbeta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += calpha * cbeta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1             # <<<<<<<<<<<<<<
 *         # ---bottom-left
 *         jj -= 1
 */
      __pyx_v_inside = (__pyx_v_inside + 1);

      /* "dipy/align/vector_fields.pyx":708
 *         # ---bottom-right
 *         ii += 1
 *         if (jj < nc) and (ii < nr):             # <<<<<<<<<<<<<<
 *             out[0] += calpha * cbeta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * cbeta * cgamma * field[kk, ii, jj, 1]
 */
    }

    /* "dipy/align/vector_fields.pyx":714
 *             inside += 1
 *         # ---bottom-left
 *         jj -= 1             # <<<<<<<<<<<<<<
 *         if (jj >= 0) and (ii < nr):
 *             out[0] += calpha * beta * cgamma * field[kk, ii, jj, 0]
 */
    __pyx_v_jj = (__pyx_v_jj - 1);

    /* "dipy/align/vector_fields.pyx":715
 *         # ---bottom-left
 *         jj -= 1
 *         if (jj >= 0) and (ii < nr):             # <<<<<<<<<<<<<<
 *             out[0] += calpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * beta * cgamma * field[kk, ii, jj, 1]
 */
    __pyx_t_1 = ((__pyx_v_jj >= 0) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_3 = __pyx_t_1;
      goto __pyx_L34_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_ii < __pyx_v_nr) != 0);
    __pyx_t_3 = __pyx_t_1;
    __pyx_L34_bool_binop_done:;
    if (__pyx_t_3) {

      /* "dipy/align/vector_fields.pyx":716
 *         jj -= 1
 *         if (jj >= 0) and (ii < nr):
 *             out[0] += calpha * beta * cgamma * field[kk, ii, jj, 0]             # <<<<<<<<<<<<<<
 *             out[1] += calpha * beta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += calpha * beta * cgamma * field[kk, ii, jj, 2]
 */
      __pyx_t_16 = 0;
      __pyx_t_89 = __pyx_v_kk;
      __pyx_t_90 = __pyx_v_ii;
      __pyx_t_91 = __pyx_v_jj;
      __pyx_t_92 = 0;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_89 * __pyx_v_field.strides[0]) ) + __pyx_t_90 * __pyx_v_field.strides[1]) ) + __pyx_t_91 * __pyx_v_field.strides[2]) ) + __pyx_t_92 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":717
 *         if (jj >= 0) and (ii < nr):
 *             out[0] += calpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * beta * cgamma * field[kk, ii, jj, 1]             # <<<<<<<<<<<<<<
 *             out[2] += calpha * beta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1
 */
      __pyx_t_16 = 1;
      __pyx_t_93 = __pyx_v_kk;
      __pyx_t_94 = __pyx_v_ii;
      __pyx_t_95 = __pyx_v_jj;
      __pyx_t_96 = 1;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_93 * __pyx_v_field.strides[0]) ) + __pyx_t_94 * __pyx_v_field.strides[1]) ) + __pyx_t_95 * __pyx_v_field.strides[2]) ) + __pyx_t_96 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":718
 *             out[0] += calpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * beta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += calpha * beta * cgamma * field[kk, ii, jj, 2]             # <<<<<<<<<<<<<<
 *             inside += 1
 *     return 1 if inside == 8 else 0
 */
      __pyx_t_16 = 2;
      __pyx_t_97 = __pyx_v_kk;
      __pyx_t_98 = __pyx_v_ii;
      __pyx_t_99 = __pyx_v_jj;
      __pyx_t_100 = 2;
      (__pyx_v_out[__pyx_t_16]) = ((__pyx_v_out[__pyx_t_16]) + (((__pyx_v_calpha * __pyx_v_beta) * __pyx_v_cgamma) * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_field.data + __pyx_t_97 * __pyx_v_field.strides[0]) ) + __pyx_t_98 * __pyx_v_field.strides[1]) ) + __pyx_t_99 * __pyx_v_field.strides[2]) ) + __pyx_t_100 * __pyx_v_field.strides[3]) )))));

      /* "dipy/align/vector_fields.pyx":719
 *             out[1] += calpha * beta * cgamma * field[kk, ii, jj, 1]
 *             out[2] += calpha * beta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1             # <<<<<<<<<<<<<<
 *     return 1 if inside == 8 else 0
 * 
 */
      __pyx_v_inside = (__pyx_v_inside + 1);

      /* "dipy/align/vector_fields.pyx":715
 *         # ---bottom-left
 *         jj -= 1
 *         if (jj >= 0) and (ii < nr):             # <<<<<<<<<<<<<<
 *             out[0] += calpha * beta * cgamma * field[kk, ii, jj, 0]
 *             out[1] += calpha * beta * cgamma * field[kk, ii, jj, 1]
 */
    }

    /* "dipy/align/vector_fields.pyx":693
 *         inside += 1
 *     kk += 1
 *     if (kk < ns):             # <<<<<<<<<<<<<<
 *         ii -= 1
 *         if (jj >= 0) and (ii >= 0):
 */
  }

  /* "dipy/align/vector_fields.pyx":720
 *             out[2] += calpha * beta * cgamma * field[kk, ii, jj, 2]
 *             inside += 1
 *     return 1 if inside == 8 else 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  if (((__pyx_v_inside == 8) != 0)) {
    __pyx_t_101 = 1;
  } else {
    __pyx_t_101 = 0;
  }
  __pyx_r = __pyx_t_101;
  goto __pyx_L0;

  /* "dipy/align/vector_fields.pyx":609
 * 
 * 
 * cdef inline int _interpolate_vector_3d(floating[:, :, :, :] field, double dkk,             # <<<<<<<<<<<<<<
 *                                        double dii, double djj,
 *                                        floating* out) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "dipy/align/vector_fields.pyx":723
 * 
 * 
 * cdef void _compose_vector_fields_2d(floating[:, :, :] d1, floating[:, :, :] d2,             # <<<<<<<<<<<<<<
 *                                     double[:, :] premult_index,
 *                                     double[:, :] premult_disp,
 */

static void __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__compose_vector_fields_2d(__Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_d2, __Pyx_memviewslice __pyx_v_premult_index, __Pyx_memviewslice __pyx_v_premult_disp, double __pyx_v_time_scaling, __Pyx_memviewslice __pyx_v_comp, __Pyx_memviewslice __pyx_v_stats) {
  npy_intp __pyx_v_nr1;
  npy_intp __pyx_v_nc1;
  CYTHON_UNUSED npy_intp __pyx_v_nr2;
  CYTHON_UNUSED npy_intp __pyx_v_nc2;
  int __pyx_v_inside;
  int __pyx_v_cnt;
  double __pyx_v_maxNorm;
  double __pyx_v_meanNorm;
  double __pyx_v_stdNorm;
  double __pyx_v_nn;
  npy_intp __pyx_v_i;
  npy_intp __pyx_v_j;
  double __pyx_v_di;
  double __pyx_v_dj;
  double __pyx_v_dii;
  double __pyx_v_djj;
  double __pyx_v_diii;
  double __pyx_v_djjj;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  npy_intp __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  Py_ssize_t __pyx_t_7;
  Py_ssize_t __pyx_t_8;
  Py_ssize_t __pyx_t_9;
  Py_ssize_t __pyx_t_10;
  int __pyx_t_11;
  Py_ssize_t __pyx_t_12;
  Py_ssize_t __pyx_t_13;
  Py_ssize_t __pyx_t_14;
  Py_ssize_t __pyx_t_15;
  Py_ssize_t __pyx_t_16;
  Py_ssize_t __pyx_t_17;
  Py_ssize_t __pyx_t_18;
  Py_ssize_t __pyx_t_19;
  Py_ssize_t __pyx_t_20;
  Py_ssize_t __pyx_t_21;
  Py_ssize_t __pyx_t_22;
  Py_ssize_t __pyx_t_23;
  Py_ssize_t __pyx_t_24;
  Py_ssize_t __pyx_t_25;
  Py_ssize_t __pyx_t_26;
  Py_ssize_t __pyx_t_27;
  Py_ssize_t __pyx_t_28;
  Py_ssize_t __pyx_t_29;
  Py_ssize_t __pyx_t_30;
  Py_ssize_t __pyx_t_31;
  Py_ssize_t __pyx_t_32;
  Py_ssize_t __pyx_t_33;
  Py_ssize_t __pyx_t_34;
  Py_ssize_t __pyx_t_35;
  Py_ssize_t __pyx_t_36;
  Py_ssize_t __pyx_t_37;
  Py_ssize_t __pyx_t_38;
  Py_ssize_t __pyx_t_39;
  Py_ssize_t __pyx_t_40;
  Py_ssize_t __pyx_t_41;

  /* "dipy/align/vector_fields.pyx":791
 *     """
 *     cdef:
 *         cnp.npy_intp nr1 = d1.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc1 = d1.shape[1]
 *         cnp.npy_intp nr2 = d2.shape[0]
 */
  __pyx_v_nr1 = (__pyx_v_d1.shape[0]);

  /* "dipy/align/vector_fields.pyx":792
 *     cdef:
 *         cnp.npy_intp nr1 = d1.shape[0]
 *         cnp.npy_intp nc1 = d1.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nr2 = d2.shape[0]
 *         cnp.npy_intp nc2 = d2.shape[1]
 */
  __pyx_v_nc1 = (__pyx_v_d1.shape[1]);

  /* "dipy/align/vector_fields.pyx":793
 *         cnp.npy_intp nr1 = d1.shape[0]
 *         cnp.npy_intp nc1 = d1.shape[1]
 *         cnp.npy_intp nr2 = d2.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc2 = d2.shape[1]
 *         int inside, cnt = 0
 */
  __pyx_v_nr2 = (__pyx_v_d2.shape[0]);

  /* "dipy/align/vector_fields.pyx":794
 *         cnp.npy_intp nc1 = d1.shape[1]
 *         cnp.npy_intp nr2 = d2.shape[0]
 *         cnp.npy_intp nc2 = d2.shape[1]             # <<<<<<<<<<<<<<
 *         int inside, cnt = 0
 *         double maxNorm = 0
 */
  __pyx_v_nc2 = (__pyx_v_d2.shape[1]);

  /* "dipy/align/vector_fields.pyx":795
 *         cnp.npy_intp nr2 = d2.shape[0]
 *         cnp.npy_intp nc2 = d2.shape[1]
 *         int inside, cnt = 0             # <<<<<<<<<<<<<<
 *         double maxNorm = 0
 *         double meanNorm = 0
 */
  __pyx_v_cnt = 0;

  /* "dipy/align/vector_fields.pyx":796
 *         cnp.npy_intp nc2 = d2.shape[1]
 *         int inside, cnt = 0
 *         double maxNorm = 0             # <<<<<<<<<<<<<<
 *         double meanNorm = 0
 *         double stdNorm = 0
 */
  __pyx_v_maxNorm = 0.0;

  /* "dipy/align/vector_fields.pyx":797
 *         int inside, cnt = 0
 *         double maxNorm = 0
 *         double meanNorm = 0             # <<<<<<<<<<<<<<
 *         double stdNorm = 0
 *         double nn
 */
  __pyx_v_meanNorm = 0.0;

  /* "dipy/align/vector_fields.pyx":798
 *         double maxNorm = 0
 *         double meanNorm = 0
 *         double stdNorm = 0             # <<<<<<<<<<<<<<
 *         double nn
 *         cnp.npy_intp i, j
 */
  __pyx_v_stdNorm = 0.0;

  /* "dipy/align/vector_fields.pyx":803
 *         double di, dj, dii, djj, diii, djjj
 * 
 *     for i in range(nr1):             # <<<<<<<<<<<<<<
 *         for j in range(nc1):
 * 
 */
  __pyx_t_1 = __pyx_v_nr1;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_i = __pyx_t_2;

    /* "dipy/align/vector_fields.pyx":804
 * 
 *     for i in range(nr1):
 *         for j in range(nc1):             # <<<<<<<<<<<<<<
 * 
 *             # This is the only place we access d1[i, j]
 */
    __pyx_t_3 = __pyx_v_nc1;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_j = __pyx_t_4;

      /* "dipy/align/vector_fields.pyx":807
 * 
 *             # This is the only place we access d1[i, j]
 *             dii = d1[i, j, 0]             # <<<<<<<<<<<<<<
 *             djj = d1[i, j, 1]
 * 
 */
      __pyx_t_5 = __pyx_v_i;
      __pyx_t_6 = __pyx_v_j;
      __pyx_t_7 = 0;
      __pyx_v_dii = (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d1.data + __pyx_t_5 * __pyx_v_d1.strides[0]) ) + __pyx_t_6 * __pyx_v_d1.strides[1]) ) + __pyx_t_7 * __pyx_v_d1.strides[2]) )));

      /* "dipy/align/vector_fields.pyx":808
 *             # This is the only place we access d1[i, j]
 *             dii = d1[i, j, 0]
 *             djj = d1[i, j, 1]             # <<<<<<<<<<<<<<
 * 
 *             if premult_disp is None:
 */
      __pyx_t_8 = __pyx_v_i;
      __pyx_t_9 = __pyx_v_j;
      __pyx_t_10 = 1;
      __pyx_v_djj = (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d1.data + __pyx_t_8 * __pyx_v_d1.strides[0]) ) + __pyx_t_9 * __pyx_v_d1.strides[1]) ) + __pyx_t_10 * __pyx_v_d1.strides[2]) )));

      /* "dipy/align/vector_fields.pyx":810
 *             djj = d1[i, j, 1]
 * 
 *             if premult_disp is None:             # <<<<<<<<<<<<<<
 *                 di = dii
 *                 dj = djj
 */
      __pyx_t_11 = ((((PyObject *) __pyx_v_premult_disp.memview) == Py_None) != 0);
      if (__pyx_t_11) {

        /* "dipy/align/vector_fields.pyx":811
 * 
 *             if premult_disp is None:
 *                 di = dii             # <<<<<<<<<<<<<<
 *                 dj = djj
 *             else:
 */
        __pyx_v_di = __pyx_v_dii;

        /* "dipy/align/vector_fields.pyx":812
 *             if premult_disp is None:
 *                 di = dii
 *                 dj = djj             # <<<<<<<<<<<<<<
 *             else:
 *                 di = _apply_affine_2d_x0(dii, djj, 0, premult_disp)
 */
        __pyx_v_dj = __pyx_v_djj;

        /* "dipy/align/vector_fields.pyx":810
 *             djj = d1[i, j, 1]
 * 
 *             if premult_disp is None:             # <<<<<<<<<<<<<<
 *                 di = dii
 *                 dj = djj
 */
        goto __pyx_L7;
      }

      /* "dipy/align/vector_fields.pyx":814
 *                 dj = djj
 *             else:
 *                 di = _apply_affine_2d_x0(dii, djj, 0, premult_disp)             # <<<<<<<<<<<<<<
 *                 dj = _apply_affine_2d_x1(dii, djj, 0, premult_disp)
 * 
 */
      /*else*/ {
        __pyx_v_di = __pyx_f_4dipy_5align_13vector_fields__apply_affine_2d_x0(__pyx_v_dii, __pyx_v_djj, 0.0, __pyx_v_premult_disp);

        /* "dipy/align/vector_fields.pyx":815
 *             else:
 *                 di = _apply_affine_2d_x0(dii, djj, 0, premult_disp)
 *                 dj = _apply_affine_2d_x1(dii, djj, 0, premult_disp)             # <<<<<<<<<<<<<<
 * 
 *             if premult_index is None:
 */
        __pyx_v_dj = __pyx_f_4dipy_5align_13vector_fields__apply_affine_2d_x1(__pyx_v_dii, __pyx_v_djj, 0.0, __pyx_v_premult_disp);
      }
      __pyx_L7:;

      /* "dipy/align/vector_fields.pyx":817
 *                 dj = _apply_affine_2d_x1(dii, djj, 0, premult_disp)
 * 
 *             if premult_index is None:             # <<<<<<<<<<<<<<
 *                 diii = i
 *                 djjj = j
 */
      __pyx_t_11 = ((((PyObject *) __pyx_v_premult_index.memview) == Py_None) != 0);
      if (__pyx_t_11) {

        /* "dipy/align/vector_fields.pyx":818
 * 
 *             if premult_index is None:
 *                 diii = i             # <<<<<<<<<<<<<<
 *                 djjj = j
 *             else:
 */
        __pyx_v_diii = __pyx_v_i;

        /* "dipy/align/vector_fields.pyx":819
 *             if premult_index is None:
 *                 diii = i
 *                 djjj = j             # <<<<<<<<<<<<<<
 *             else:
 *                 diii = _apply_affine_2d_x0(i, j, 1, premult_index)
 */
        __pyx_v_djjj = __pyx_v_j;

        /* "dipy/align/vector_fields.pyx":817
 *                 dj = _apply_affine_2d_x1(dii, djj, 0, premult_disp)
 * 
 *             if premult_index is None:             # <<<<<<<<<<<<<<
 *                 diii = i
 *                 djjj = j
 */
        goto __pyx_L8;
      }

      /* "dipy/align/vector_fields.pyx":821
 *                 djjj = j
 *             else:
 *                 diii = _apply_affine_2d_x0(i, j, 1, premult_index)             # <<<<<<<<<<<<<<
 *                 djjj = _apply_affine_2d_x1(i, j, 1, premult_index)
 * 
 */
      /*else*/ {
        __pyx_v_diii = __pyx_f_4dipy_5align_13vector_fields__apply_affine_2d_x0(__pyx_v_i, __pyx_v_j, 1.0, __pyx_v_premult_index);

        /* "dipy/align/vector_fields.pyx":822
 *             else:
 *                 diii = _apply_affine_2d_x0(i, j, 1, premult_index)
 *                 djjj = _apply_affine_2d_x1(i, j, 1, premult_index)             # <<<<<<<<<<<<<<
 * 
 *             diii += di
 */
        __pyx_v_djjj = __pyx_f_4dipy_5align_13vector_fields__apply_affine_2d_x1(__pyx_v_i, __pyx_v_j, 1.0, __pyx_v_premult_index);
      }
      __pyx_L8:;

      /* "dipy/align/vector_fields.pyx":824
 *                 djjj = _apply_affine_2d_x1(i, j, 1, premult_index)
 * 
 *             diii += di             # <<<<<<<<<<<<<<
 *             djjj += dj
 * 
 */
      __pyx_v_diii = (__pyx_v_diii + __pyx_v_di);

      /* "dipy/align/vector_fields.pyx":825
 * 
 *             diii += di
 *             djjj += dj             # <<<<<<<<<<<<<<
 * 
 *             # If d1 and comp are the same array, this will correctly update
 */
      __pyx_v_djjj = (__pyx_v_djjj + __pyx_v_dj);

      /* "dipy/align/vector_fields.pyx":833
 *             # which may be problematic
 *             inside = _interpolate_vector_2d[floating](d2, diii, djjj,
 *                                                       &comp[i, j, 0])             # <<<<<<<<<<<<<<
 * 
 *             if inside == 1:
 */
      __pyx_t_12 = __pyx_v_i;
      __pyx_t_13 = __pyx_v_j;
      __pyx_t_14 = 0;

      /* "dipy/align/vector_fields.pyx":832
 *             # in the neighborhood of a previously updated vector from d2,
 *             # which may be problematic
 *             inside = _interpolate_vector_2d[floating](d2, diii, djjj,             # <<<<<<<<<<<<<<
 *                                                       &comp[i, j, 0])
 * 
 */
      __pyx_v_inside = __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__interpolate_vector_2d(__pyx_v_d2, __pyx_v_diii, __pyx_v_djjj, (&(*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_12 * __pyx_v_comp.strides[0]) ) + __pyx_t_13 * __pyx_v_comp.strides[1]) ) + __pyx_t_14 * __pyx_v_comp.strides[2]) )))));

      /* "dipy/align/vector_fields.pyx":835
 *                                                       &comp[i, j, 0])
 * 
 *             if inside == 1:             # <<<<<<<<<<<<<<
 *                 comp[i, j, 0] = time_scaling * comp[i, j, 0] + dii
 *                 comp[i, j, 1] = time_scaling * comp[i, j, 1] + djj
 */
      __pyx_t_11 = ((__pyx_v_inside == 1) != 0);
      if (__pyx_t_11) {

        /* "dipy/align/vector_fields.pyx":836
 * 
 *             if inside == 1:
 *                 comp[i, j, 0] = time_scaling * comp[i, j, 0] + dii             # <<<<<<<<<<<<<<
 *                 comp[i, j, 1] = time_scaling * comp[i, j, 1] + djj
 *                 nn = comp[i, j, 0] ** 2 + comp[i, j, 1] ** 2
 */
        __pyx_t_15 = __pyx_v_i;
        __pyx_t_16 = __pyx_v_j;
        __pyx_t_17 = 0;
        __pyx_t_18 = __pyx_v_i;
        __pyx_t_19 = __pyx_v_j;
        __pyx_t_20 = 0;
        *((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_18 * __pyx_v_comp.strides[0]) ) + __pyx_t_19 * __pyx_v_comp.strides[1]) ) + __pyx_t_20 * __pyx_v_comp.strides[2]) )) = ((__pyx_v_time_scaling * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_15 * __pyx_v_comp.strides[0]) ) + __pyx_t_16 * __pyx_v_comp.strides[1]) ) + __pyx_t_17 * __pyx_v_comp.strides[2]) )))) + __pyx_v_dii);

        /* "dipy/align/vector_fields.pyx":837
 *             if inside == 1:
 *                 comp[i, j, 0] = time_scaling * comp[i, j, 0] + dii
 *                 comp[i, j, 1] = time_scaling * comp[i, j, 1] + djj             # <<<<<<<<<<<<<<
 *                 nn = comp[i, j, 0] ** 2 + comp[i, j, 1] ** 2
 *                 meanNorm += nn
 */
        __pyx_t_21 = __pyx_v_i;
        __pyx_t_22 = __pyx_v_j;
        __pyx_t_23 = 1;
        __pyx_t_24 = __pyx_v_i;
        __pyx_t_25 = __pyx_v_j;
        __pyx_t_26 = 1;
        *((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_24 * __pyx_v_comp.strides[0]) ) + __pyx_t_25 * __pyx_v_comp.strides[1]) ) + __pyx_t_26 * __pyx_v_comp.strides[2]) )) = ((__pyx_v_time_scaling * (*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_21 * __pyx_v_comp.strides[0]) ) + __pyx_t_22 * __pyx_v_comp.strides[1]) ) + __pyx_t_23 * __pyx_v_comp.strides[2]) )))) + __pyx_v_djj);

        /* "dipy/align/vector_fields.pyx":838
 *                 comp[i, j, 0] = time_scaling * comp[i, j, 0] + dii
 *                 comp[i, j, 1] = time_scaling * comp[i, j, 1] + djj
 *                 nn = comp[i, j, 0] ** 2 + comp[i, j, 1] ** 2             # <<<<<<<<<<<<<<
 *                 meanNorm += nn
 *                 stdNorm += nn * nn
 */
        __pyx_t_27 = __pyx_v_i;
        __pyx_t_28 = __pyx_v_j;
        __pyx_t_29 = 0;
        __pyx_t_30 = __pyx_v_i;
        __pyx_t_31 = __pyx_v_j;
        __pyx_t_32 = 1;
        __pyx_v_nn = (powf((*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_27 * __pyx_v_comp.strides[0]) ) + __pyx_t_28 * __pyx_v_comp.strides[1]) ) + __pyx_t_29 * __pyx_v_comp.strides[2]) ))), 2.0) + powf((*((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_30 * __pyx_v_comp.strides[0]) ) + __pyx_t_31 * __pyx_v_comp.strides[1]) ) + __pyx_t_32 * __pyx_v_comp.strides[2]) ))), 2.0));

        /* "dipy/align/vector_fields.pyx":839
 *                 comp[i, j, 1] = time_scaling * comp[i, j, 1] + djj
 *                 nn = comp[i, j, 0] ** 2 + comp[i, j, 1] ** 2
 *                 meanNorm += nn             # <<<<<<<<<<<<<<
 *                 stdNorm += nn * nn
 *                 cnt += 1
 */
        __pyx_v_meanNorm = (__pyx_v_meanNorm + __pyx_v_nn);

        /* "dipy/align/vector_fields.pyx":840
 *                 nn = comp[i, j, 0] ** 2 + comp[i, j, 1] ** 2
 *                 meanNorm += nn
 *                 stdNorm += nn * nn             # <<<<<<<<<<<<<<
 *                 cnt += 1
 *                 if(maxNorm < nn):
 */
        __pyx_v_stdNorm = (__pyx_v_stdNorm + (__pyx_v_nn * __pyx_v_nn));

        /* "dipy/align/vector_fields.pyx":841
 *                 meanNorm += nn
 *                 stdNorm += nn * nn
 *                 cnt += 1             # <<<<<<<<<<<<<<
 *                 if(maxNorm < nn):
 *                     maxNorm = nn
 */
        __pyx_v_cnt = (__pyx_v_cnt + 1);

        /* "dipy/align/vector_fields.pyx":842
 *                 stdNorm += nn * nn
 *                 cnt += 1
 *                 if(maxNorm < nn):             # <<<<<<<<<<<<<<
 *                     maxNorm = nn
 *             else:
 */
        __pyx_t_11 = ((__pyx_v_maxNorm < __pyx_v_nn) != 0);
        if (__pyx_t_11) {

          /* "dipy/align/vector_fields.pyx":843
 *                 cnt += 1
 *                 if(maxNorm < nn):
 *                     maxNorm = nn             # <<<<<<<<<<<<<<
 *             else:
 *                 comp[i, j, 0] = 0
 */
          __pyx_v_maxNorm = __pyx_v_nn;

          /* "dipy/align/vector_fields.pyx":842
 *                 stdNorm += nn * nn
 *                 cnt += 1
 *                 if(maxNorm < nn):             # <<<<<<<<<<<<<<
 *                     maxNorm = nn
 *             else:
 */
        }

        /* "dipy/align/vector_fields.pyx":835
 *                                                       &comp[i, j, 0])
 * 
 *             if inside == 1:             # <<<<<<<<<<<<<<
 *                 comp[i, j, 0] = time_scaling * comp[i, j, 0] + dii
 *                 comp[i, j, 1] = time_scaling * comp[i, j, 1] + djj
 */
        goto __pyx_L9;
      }

      /* "dipy/align/vector_fields.pyx":845
 *                     maxNorm = nn
 *             else:
 *                 comp[i, j, 0] = 0             # <<<<<<<<<<<<<<
 *                 comp[i, j, 1] = 0
 * 
 */
      /*else*/ {
        __pyx_t_33 = __pyx_v_i;
        __pyx_t_34 = __pyx_v_j;
        __pyx_t_35 = 0;
        *((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_33 * __pyx_v_comp.strides[0]) ) + __pyx_t_34 * __pyx_v_comp.strides[1]) ) + __pyx_t_35 * __pyx_v_comp.strides[2]) )) = 0.0;

        /* "dipy/align/vector_fields.pyx":846
 *             else:
 *                 comp[i, j, 0] = 0
 *                 comp[i, j, 1] = 0             # <<<<<<<<<<<<<<
 * 
 *     meanNorm /= cnt
 */
        __pyx_t_36 = __pyx_v_i;
        __pyx_t_37 = __pyx_v_j;
        __pyx_t_38 = 1;
        *((float *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_36 * __pyx_v_comp.strides[0]) ) + __pyx_t_37 * __pyx_v_comp.strides[1]) ) + __pyx_t_38 * __pyx_v_comp.strides[2]) )) = 0.0;
      }
      __pyx_L9:;
    }
  }

  /* "dipy/align/vector_fields.pyx":848
 *                 comp[i, j, 1] = 0
 * 
 *     meanNorm /= cnt             # <<<<<<<<<<<<<<
 *     stats[0] = sqrt(maxNorm)
 *     stats[1] = sqrt(meanNorm)
 */
  __pyx_v_meanNorm = (__pyx_v_meanNorm / __pyx_v_cnt);

  /* "dipy/align/vector_fields.pyx":849
 * 
 *     meanNorm /= cnt
 *     stats[0] = sqrt(maxNorm)             # <<<<<<<<<<<<<<
 *     stats[1] = sqrt(meanNorm)
 *     stats[2] = sqrt(stdNorm / cnt - meanNorm * meanNorm)
 */
  __pyx_t_39 = 0;
  *((double *) ( /* dim=0 */ (__pyx_v_stats.data + __pyx_t_39 * __pyx_v_stats.strides[0]) )) = sqrt(__pyx_v_maxNorm);

  /* "dipy/align/vector_fields.pyx":850
 *     meanNorm /= cnt
 *     stats[0] = sqrt(maxNorm)
 *     stats[1] = sqrt(meanNorm)             # <<<<<<<<<<<<<<
 *     stats[2] = sqrt(stdNorm / cnt - meanNorm * meanNorm)
 * 
 */
  __pyx_t_40 = 1;
  *((double *) ( /* dim=0 */ (__pyx_v_stats.data + __pyx_t_40 * __pyx_v_stats.strides[0]) )) = sqrt(__pyx_v_meanNorm);

  /* "dipy/align/vector_fields.pyx":851
 *     stats[0] = sqrt(maxNorm)
 *     stats[1] = sqrt(meanNorm)
 *     stats[2] = sqrt(stdNorm / cnt - meanNorm * meanNorm)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_41 = 2;
  *((double *) ( /* dim=0 */ (__pyx_v_stats.data + __pyx_t_41 * __pyx_v_stats.strides[0]) )) = sqrt(((__pyx_v_stdNorm / __pyx_v_cnt) - (__pyx_v_meanNorm * __pyx_v_meanNorm)));

  /* "dipy/align/vector_fields.pyx":723
 * 
 * 
 * cdef void _compose_vector_fields_2d(floating[:, :, :] d1, floating[:, :, :] d2,             # <<<<<<<<<<<<<<
 *                                     double[:, :] premult_index,
 *                                     double[:, :] premult_disp,
 */

  /* function exit code */
}

static void __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__compose_vector_fields_2d(__Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_d2, __Pyx_memviewslice __pyx_v_premult_index, __Pyx_memviewslice __pyx_v_premult_disp, double __pyx_v_time_scaling, __Pyx_memviewslice __pyx_v_comp, __Pyx_memviewslice __pyx_v_stats) {
  npy_intp __pyx_v_nr1;
  npy_intp __pyx_v_nc1;
  CYTHON_UNUSED npy_intp __pyx_v_nr2;
  CYTHON_UNUSED npy_intp __pyx_v_nc2;
  int __pyx_v_inside;
  int __pyx_v_cnt;
  double __pyx_v_maxNorm;
  double __pyx_v_meanNorm;
  double __pyx_v_stdNorm;
  double __pyx_v_nn;
  npy_intp __pyx_v_i;
  npy_intp __pyx_v_j;
  double __pyx_v_di;
  double __pyx_v_dj;
  double __pyx_v_dii;
  double __pyx_v_djj;
  double __pyx_v_diii;
  double __pyx_v_djjj;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  npy_intp __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  Py_ssize_t __pyx_t_7;
  Py_ssize_t __pyx_t_8;
  Py_ssize_t __pyx_t_9;
  Py_ssize_t __pyx_t_10;
  int __pyx_t_11;
  Py_ssize_t __pyx_t_12;
  Py_ssize_t __pyx_t_13;
  Py_ssize_t __pyx_t_14;
  Py_ssize_t __pyx_t_15;
  Py_ssize_t __pyx_t_16;
  Py_ssize_t __pyx_t_17;
  Py_ssize_t __pyx_t_18;
  Py_ssize_t __pyx_t_19;
  Py_ssize_t __pyx_t_20;
  Py_ssize_t __pyx_t_21;
  Py_ssize_t __pyx_t_22;
  Py_ssize_t __pyx_t_23;
  Py_ssize_t __pyx_t_24;
  Py_ssize_t __pyx_t_25;
  Py_ssize_t __pyx_t_26;
  Py_ssize_t __pyx_t_27;
  Py_ssize_t __pyx_t_28;
  Py_ssize_t __pyx_t_29;
  Py_ssize_t __pyx_t_30;
  Py_ssize_t __pyx_t_31;
  Py_ssize_t __pyx_t_32;
  Py_ssize_t __pyx_t_33;
  Py_ssize_t __pyx_t_34;
  Py_ssize_t __pyx_t_35;
  Py_ssize_t __pyx_t_36;
  Py_ssize_t __pyx_t_37;
  Py_ssize_t __pyx_t_38;
  Py_ssize_t __pyx_t_39;
  Py_ssize_t __pyx_t_40;
  Py_ssize_t __pyx_t_41;

  /* "dipy/align/vector_fields.pyx":791
 *     """
 *     cdef:
 *         cnp.npy_intp nr1 = d1.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc1 = d1.shape[1]
 *         cnp.npy_intp nr2 = d2.shape[0]
 */
  __pyx_v_nr1 = (__pyx_v_d1.shape[0]);

  /* "dipy/align/vector_fields.pyx":792
 *     cdef:
 *         cnp.npy_intp nr1 = d1.shape[0]
 *         cnp.npy_intp nc1 = d1.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nr2 = d2.shape[0]
 *         cnp.npy_intp nc2 = d2.shape[1]
 */
  __pyx_v_nc1 = (__pyx_v_d1.shape[1]);

  /* "dipy/align/vector_fields.pyx":793
 *         cnp.npy_intp nr1 = d1.shape[0]
 *         cnp.npy_intp nc1 = d1.shape[1]
 *         cnp.npy_intp nr2 = d2.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc2 = d2.shape[1]
 *         int inside, cnt = 0
 */
  __pyx_v_nr2 = (__pyx_v_d2.shape[0]);

  /* "dipy/align/vector_fields.pyx":794
 *         cnp.npy_intp nc1 = d1.shape[1]
 *         cnp.npy_intp nr2 = d2.shape[0]
 *         cnp.npy_intp nc2 = d2.shape[1]             # <<<<<<<<<<<<<<
 *         int inside, cnt = 0
 *         double maxNorm = 0
 */
  __pyx_v_nc2 = (__pyx_v_d2.shape[1]);

  /* "dipy/align/vector_fields.pyx":795
 *         cnp.npy_intp nr2 = d2.shape[0]
 *         cnp.npy_intp nc2 = d2.shape[1]
 *         int inside, cnt = 0             # <<<<<<<<<<<<<<
 *         double maxNorm = 0
 *         double meanNorm = 0
 */
  __pyx_v_cnt = 0;

  /* "dipy/align/vector_fields.pyx":796
 *         cnp.npy_intp nc2 = d2.shape[1]
 *         int inside, cnt = 0
 *         double maxNorm = 0             # <<<<<<<<<<<<<<
 *         double meanNorm = 0
 *         double stdNorm = 0
 */
  __pyx_v_maxNorm = 0.0;

  /* "dipy/align/vector_fields.pyx":797
 *         int inside, cnt = 0
 *         double maxNorm = 0
 *         double meanNorm = 0             # <<<<<<<<<<<<<<
 *         double stdNorm = 0
 *         double nn
 */
  __pyx_v_meanNorm = 0.0;

  /* "dipy/align/vector_fields.pyx":798
 *         double maxNorm = 0
 *         double meanNorm = 0
 *         double stdNorm = 0             # <<<<<<<<<<<<<<
 *         double nn
 *         cnp.npy_intp i, j
 */
  __pyx_v_stdNorm = 0.0;

  /* "dipy/align/vector_fields.pyx":803
 *         double di, dj, dii, djj, diii, djjj
 * 
 *     for i in range(nr1):             # <<<<<<<<<<<<<<
 *         for j in range(nc1):
 * 
 */
  __pyx_t_1 = __pyx_v_nr1;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_i = __pyx_t_2;

    /* "dipy/align/vector_fields.pyx":804
 * 
 *     for i in range(nr1):
 *         for j in range(nc1):             # <<<<<<<<<<<<<<
 * 
 *             # This is the only place we access d1[i, j]
 */
    __pyx_t_3 = __pyx_v_nc1;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_j = __pyx_t_4;

      /* "dipy/align/vector_fields.pyx":807
 * 
 *             # This is the only place we access d1[i, j]
 *             dii = d1[i, j, 0]             # <<<<<<<<<<<<<<
 *             djj = d1[i, j, 1]
 * 
 */
      __pyx_t_5 = __pyx_v_i;
      __pyx_t_6 = __pyx_v_j;
      __pyx_t_7 = 0;
      __pyx_v_dii = (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d1.data + __pyx_t_5 * __pyx_v_d1.strides[0]) ) + __pyx_t_6 * __pyx_v_d1.strides[1]) ) + __pyx_t_7 * __pyx_v_d1.strides[2]) )));

      /* "dipy/align/vector_fields.pyx":808
 *             # This is the only place we access d1[i, j]
 *             dii = d1[i, j, 0]
 *             djj = d1[i, j, 1]             # <<<<<<<<<<<<<<
 * 
 *             if premult_disp is None:
 */
      __pyx_t_8 = __pyx_v_i;
      __pyx_t_9 = __pyx_v_j;
      __pyx_t_10 = 1;
      __pyx_v_djj = (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d1.data + __pyx_t_8 * __pyx_v_d1.strides[0]) ) + __pyx_t_9 * __pyx_v_d1.strides[1]) ) + __pyx_t_10 * __pyx_v_d1.strides[2]) )));

      /* "dipy/align/vector_fields.pyx":810
 *             djj = d1[i, j, 1]
 * 
 *             if premult_disp is None:             # <<<<<<<<<<<<<<
 *                 di = dii
 *                 dj = djj
 */
      __pyx_t_11 = ((((PyObject *) __pyx_v_premult_disp.memview) == Py_None) != 0);
      if (__pyx_t_11) {

        /* "dipy/align/vector_fields.pyx":811
 * 
 *             if premult_disp is None:
 *                 di = dii             # <<<<<<<<<<<<<<
 *                 dj = djj
 *             else:
 */
        __pyx_v_di = __pyx_v_dii;

        /* "dipy/align/vector_fields.pyx":812
 *             if premult_disp is None:
 *                 di = dii
 *                 dj = djj             # <<<<<<<<<<<<<<
 *             else:
 *                 di = _apply_affine_2d_x0(dii, djj, 0, premult_disp)
 */
        __pyx_v_dj = __pyx_v_djj;

        /* "dipy/align/vector_fields.pyx":810
 *             djj = d1[i, j, 1]
 * 
 *             if premult_disp is None:             # <<<<<<<<<<<<<<
 *                 di = dii
 *                 dj = djj
 */
        goto __pyx_L7;
      }

      /* "dipy/align/vector_fields.pyx":814
 *                 dj = djj
 *             else:
 *                 di = _apply_affine_2d_x0(dii, djj, 0, premult_disp)             # <<<<<<<<<<<<<<
 *                 dj = _apply_affine_2d_x1(dii, djj, 0, premult_disp)
 * 
 */
      /*else*/ {
        __pyx_v_di = __pyx_f_4dipy_5align_13vector_fields__apply_affine_2d_x0(__pyx_v_dii, __pyx_v_djj, 0.0, __pyx_v_premult_disp);

        /* "dipy/align/vector_fields.pyx":815
 *             else:
 *                 di = _apply_affine_2d_x0(dii, djj, 0, premult_disp)
 *                 dj = _apply_affine_2d_x1(dii, djj, 0, premult_disp)             # <<<<<<<<<<<<<<
 * 
 *             if premult_index is None:
 */
        __pyx_v_dj = __pyx_f_4dipy_5align_13vector_fields__apply_affine_2d_x1(__pyx_v_dii, __pyx_v_djj, 0.0, __pyx_v_premult_disp);
      }
      __pyx_L7:;

      /* "dipy/align/vector_fields.pyx":817
 *                 dj = _apply_affine_2d_x1(dii, djj, 0, premult_disp)
 * 
 *             if premult_index is None:             # <<<<<<<<<<<<<<
 *                 diii = i
 *                 djjj = j
 */
      __pyx_t_11 = ((((PyObject *) __pyx_v_premult_index.memview) == Py_None) != 0);
      if (__pyx_t_11) {

        /* "dipy/align/vector_fields.pyx":818
 * 
 *             if premult_index is None:
 *                 diii = i             # <<<<<<<<<<<<<<
 *                 djjj = j
 *             else:
 */
        __pyx_v_diii = __pyx_v_i;

        /* "dipy/align/vector_fields.pyx":819
 *             if premult_index is None:
 *                 diii = i
 *                 djjj = j             # <<<<<<<<<<<<<<
 *             else:
 *                 diii = _apply_affine_2d_x0(i, j, 1, premult_index)
 */
        __pyx_v_djjj = __pyx_v_j;

        /* "dipy/align/vector_fields.pyx":817
 *                 dj = _apply_affine_2d_x1(dii, djj, 0, premult_disp)
 * 
 *             if premult_index is None:             # <<<<<<<<<<<<<<
 *                 diii = i
 *                 djjj = j
 */
        goto __pyx_L8;
      }

      /* "dipy/align/vector_fields.pyx":821
 *                 djjj = j
 *             else:
 *                 diii = _apply_affine_2d_x0(i, j, 1, premult_index)             # <<<<<<<<<<<<<<
 *                 djjj = _apply_affine_2d_x1(i, j, 1, premult_index)
 * 
 */
      /*else*/ {
        __pyx_v_diii = __pyx_f_4dipy_5align_13vector_fields__apply_affine_2d_x0(__pyx_v_i, __pyx_v_j, 1.0, __pyx_v_premult_index);

        /* "dipy/align/vector_fields.pyx":822
 *             else:
 *                 diii = _apply_affine_2d_x0(i, j, 1, premult_index)
 *                 djjj = _apply_affine_2d_x1(i, j, 1, premult_index)             # <<<<<<<<<<<<<<
 * 
 *             diii += di
 */
        __pyx_v_djjj = __pyx_f_4dipy_5align_13vector_fields__apply_affine_2d_x1(__pyx_v_i, __pyx_v_j, 1.0, __pyx_v_premult_index);
      }
      __pyx_L8:;

      /* "dipy/align/vector_fields.pyx":824
 *                 djjj = _apply_affine_2d_x1(i, j, 1, premult_index)
 * 
 *             diii += di             # <<<<<<<<<<<<<<
 *             djjj += dj
 * 
 */
      __pyx_v_diii = (__pyx_v_diii + __pyx_v_di);

      /* "dipy/align/vector_fields.pyx":825
 * 
 *             diii += di
 *             djjj += dj             # <<<<<<<<<<<<<<
 * 
 *             # If d1 and comp are the same array, this will correctly update
 */
      __pyx_v_djjj = (__pyx_v_djjj + __pyx_v_dj);

      /* "dipy/align/vector_fields.pyx":833
 *             # which may be problematic
 *             inside = _interpolate_vector_2d[floating](d2, diii, djjj,
 *                                                       &comp[i, j, 0])             # <<<<<<<<<<<<<<
 * 
 *             if inside == 1:
 */
      __pyx_t_12 = __pyx_v_i;
      __pyx_t_13 = __pyx_v_j;
      __pyx_t_14 = 0;

      /* "dipy/align/vector_fields.pyx":832
 *             # in the neighborhood of a previously updated vector from d2,
 *             # which may be problematic
 *             inside = _interpolate_vector_2d[floating](d2, diii, djjj,             # <<<<<<<<<<<<<<
 *                                                       &comp[i, j, 0])
 * 
 */
      __pyx_v_inside = __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_vector_2d(__pyx_v_d2, __pyx_v_diii, __pyx_v_djjj, (&(*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_12 * __pyx_v_comp.strides[0]) ) + __pyx_t_13 * __pyx_v_comp.strides[1]) ) + __pyx_t_14 * __pyx_v_comp.strides[2]) )))));

      /* "dipy/align/vector_fields.pyx":835
 *                                                       &comp[i, j, 0])
 * 
 *             if inside == 1:             # <<<<<<<<<<<<<<
 *                 comp[i, j, 0] = time_scaling * comp[i, j, 0] + dii
 *                 comp[i, j, 1] = time_scaling * comp[i, j, 1] + djj
 */
      __pyx_t_11 = ((__pyx_v_inside == 1) != 0);
      if (__pyx_t_11) {

        /* "dipy/align/vector_fields.pyx":836
 * 
 *             if inside == 1:
 *                 comp[i, j, 0] = time_scaling * comp[i, j, 0] + dii             # <<<<<<<<<<<<<<
 *                 comp[i, j, 1] = time_scaling * comp[i, j, 1] + djj
 *                 nn = comp[i, j, 0] ** 2 + comp[i, j, 1] ** 2
 */
        __pyx_t_15 = __pyx_v_i;
        __pyx_t_16 = __pyx_v_j;
        __pyx_t_17 = 0;
        __pyx_t_18 = __pyx_v_i;
        __pyx_t_19 = __pyx_v_j;
        __pyx_t_20 = 0;
        *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_18 * __pyx_v_comp.strides[0]) ) + __pyx_t_19 * __pyx_v_comp.strides[1]) ) + __pyx_t_20 * __pyx_v_comp.strides[2]) )) = ((__pyx_v_time_scaling * (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_15 * __pyx_v_comp.strides[0]) ) + __pyx_t_16 * __pyx_v_comp.strides[1]) ) + __pyx_t_17 * __pyx_v_comp.strides[2]) )))) + __pyx_v_dii);

        /* "dipy/align/vector_fields.pyx":837
 *             if inside == 1:
 *                 comp[i, j, 0] = time_scaling * comp[i, j, 0] + dii
 *                 comp[i, j, 1] = time_scaling * comp[i, j, 1] + djj             # <<<<<<<<<<<<<<
 *                 nn = comp[i, j, 0] ** 2 + comp[i, j, 1] ** 2
 *                 meanNorm += nn
 */
        __pyx_t_21 = __pyx_v_i;
        __pyx_t_22 = __pyx_v_j;
        __pyx_t_23 = 1;
        __pyx_t_24 = __pyx_v_i;
        __pyx_t_25 = __pyx_v_j;
        __pyx_t_26 = 1;
        *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_24 * __pyx_v_comp.strides[0]) ) + __pyx_t_25 * __pyx_v_comp.strides[1]) ) + __pyx_t_26 * __pyx_v_comp.strides[2]) )) = ((__pyx_v_time_scaling * (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_21 * __pyx_v_comp.strides[0]) ) + __pyx_t_22 * __pyx_v_comp.strides[1]) ) + __pyx_t_23 * __pyx_v_comp.strides[2]) )))) + __pyx_v_djj);

        /* "dipy/align/vector_fields.pyx":838
 *                 comp[i, j, 0] = time_scaling * comp[i, j, 0] + dii
 *                 comp[i, j, 1] = time_scaling * comp[i, j, 1] + djj
 *                 nn = comp[i, j, 0] ** 2 + comp[i, j, 1] ** 2             # <<<<<<<<<<<<<<
 *                 meanNorm += nn
 *                 stdNorm += nn * nn
 */
        __pyx_t_27 = __pyx_v_i;
        __pyx_t_28 = __pyx_v_j;
        __pyx_t_29 = 0;
        __pyx_t_30 = __pyx_v_i;
        __pyx_t_31 = __pyx_v_j;
        __pyx_t_32 = 1;
        __pyx_v_nn = (pow((*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_27 * __pyx_v_comp.strides[0]) ) + __pyx_t_28 * __pyx_v_comp.strides[1]) ) + __pyx_t_29 * __pyx_v_comp.strides[2]) ))), 2.0) + pow((*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_30 * __pyx_v_comp.strides[0]) ) + __pyx_t_31 * __pyx_v_comp.strides[1]) ) + __pyx_t_32 * __pyx_v_comp.strides[2]) ))), 2.0));

        /* "dipy/align/vector_fields.pyx":839
 *                 comp[i, j, 1] = time_scaling * comp[i, j, 1] + djj
 *                 nn = comp[i, j, 0] ** 2 + comp[i, j, 1] ** 2
 *                 meanNorm += nn             # <<<<<<<<<<<<<<
 *                 stdNorm += nn * nn
 *                 cnt += 1
 */
        __pyx_v_meanNorm = (__pyx_v_meanNorm + __pyx_v_nn);

        /* "dipy/align/vector_fields.pyx":840
 *                 nn = comp[i, j, 0] ** 2 + comp[i, j, 1] ** 2
 *                 meanNorm += nn
 *                 stdNorm += nn * nn             # <<<<<<<<<<<<<<
 *                 cnt += 1
 *                 if(maxNorm < nn):
 */
        __pyx_v_stdNorm = (__pyx_v_stdNorm + (__pyx_v_nn * __pyx_v_nn));

        /* "dipy/align/vector_fields.pyx":841
 *                 meanNorm += nn
 *                 stdNorm += nn * nn
 *                 cnt += 1             # <<<<<<<<<<<<<<
 *                 if(maxNorm < nn):
 *                     maxNorm = nn
 */
        __pyx_v_cnt = (__pyx_v_cnt + 1);

        /* "dipy/align/vector_fields.pyx":842
 *                 stdNorm += nn * nn
 *                 cnt += 1
 *                 if(maxNorm < nn):             # <<<<<<<<<<<<<<
 *                     maxNorm = nn
 *             else:
 */
        __pyx_t_11 = ((__pyx_v_maxNorm < __pyx_v_nn) != 0);
        if (__pyx_t_11) {

          /* "dipy/align/vector_fields.pyx":843
 *                 cnt += 1
 *                 if(maxNorm < nn):
 *                     maxNorm = nn             # <<<<<<<<<<<<<<
 *             else:
 *                 comp[i, j, 0] = 0
 */
          __pyx_v_maxNorm = __pyx_v_nn;

          /* "dipy/align/vector_fields.pyx":842
 *                 stdNorm += nn * nn
 *                 cnt += 1
 *                 if(maxNorm < nn):             # <<<<<<<<<<<<<<
 *                     maxNorm = nn
 *             else:
 */
        }

        /* "dipy/align/vector_fields.pyx":835
 *                                                       &comp[i, j, 0])
 * 
 *             if inside == 1:             # <<<<<<<<<<<<<<
 *                 comp[i, j, 0] = time_scaling * comp[i, j, 0] + dii
 *                 comp[i, j, 1] = time_scaling * comp[i, j, 1] + djj
 */
        goto __pyx_L9;
      }

      /* "dipy/align/vector_fields.pyx":845
 *                     maxNorm = nn
 *             else:
 *                 comp[i, j, 0] = 0             # <<<<<<<<<<<<<<
 *                 comp[i, j, 1] = 0
 * 
 */
      /*else*/ {
        __pyx_t_33 = __pyx_v_i;
        __pyx_t_34 = __pyx_v_j;
        __pyx_t_35 = 0;
        *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_33 * __pyx_v_comp.strides[0]) ) + __pyx_t_34 * __pyx_v_comp.strides[1]) ) + __pyx_t_35 * __pyx_v_comp.strides[2]) )) = 0.0;

        /* "dipy/align/vector_fields.pyx":846
 *             else:
 *                 comp[i, j, 0] = 0
 *                 comp[i, j, 1] = 0             # <<<<<<<<<<<<<<
 * 
 *     meanNorm /= cnt
 */
        __pyx_t_36 = __pyx_v_i;
        __pyx_t_37 = __pyx_v_j;
        __pyx_t_38 = 1;
        *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_36 * __pyx_v_comp.strides[0]) ) + __pyx_t_37 * __pyx_v_comp.strides[1]) ) + __pyx_t_38 * __pyx_v_comp.strides[2]) )) = 0.0;
      }
      __pyx_L9:;
    }
  }

  /* "dipy/align/vector_fields.pyx":848
 *                 comp[i, j, 1] = 0
 * 
 *     meanNorm /= cnt             # <<<<<<<<<<<<<<
 *     stats[0] = sqrt(maxNorm)
 *     stats[1] = sqrt(meanNorm)
 */
  __pyx_v_meanNorm = (__pyx_v_meanNorm / __pyx_v_cnt);

  /* "dipy/align/vector_fields.pyx":849
 * 
 *     meanNorm /= cnt
 *     stats[0] = sqrt(maxNorm)             # <<<<<<<<<<<<<<
 *     stats[1] = sqrt(meanNorm)
 *     stats[2] = sqrt(stdNorm / cnt - meanNorm * meanNorm)
 */
  __pyx_t_39 = 0;
  *((double *) ( /* dim=0 */ (__pyx_v_stats.data + __pyx_t_39 * __pyx_v_stats.strides[0]) )) = sqrt(__pyx_v_maxNorm);

  /* "dipy/align/vector_fields.pyx":850
 *     meanNorm /= cnt
 *     stats[0] = sqrt(maxNorm)
 *     stats[1] = sqrt(meanNorm)             # <<<<<<<<<<<<<<
 *     stats[2] = sqrt(stdNorm / cnt - meanNorm * meanNorm)
 * 
 */
  __pyx_t_40 = 1;
  *((double *) ( /* dim=0 */ (__pyx_v_stats.data + __pyx_t_40 * __pyx_v_stats.strides[0]) )) = sqrt(__pyx_v_meanNorm);

  /* "dipy/align/vector_fields.pyx":851
 *     stats[0] = sqrt(maxNorm)
 *     stats[1] = sqrt(meanNorm)
 *     stats[2] = sqrt(stdNorm / cnt - meanNorm * meanNorm)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_41 = 2;
  *((double *) ( /* dim=0 */ (__pyx_v_stats.data + __pyx_t_41 * __pyx_v_stats.strides[0]) )) = sqrt(((__pyx_v_stdNorm / __pyx_v_cnt) - (__pyx_v_meanNorm * __pyx_v_meanNorm)));

  /* "dipy/align/vector_fields.pyx":723
 * 
 * 
 * cdef void _compose_vector_fields_2d(floating[:, :, :] d1, floating[:, :, :] d2,             # <<<<<<<<<<<<<<
 *                                     double[:, :] premult_index,
 *                                     double[:, :] premult_disp,
 */

  /* function exit code */
}

/* "dipy/align/vector_fields.pyx":854
 * 
 * 
 * def compose_vector_fields_2d(floating[:, :, :] d1, floating[:, :, :] d2,             # <<<<<<<<<<<<<<
 *                              double[:, :] premult_index,
 *                              double[:, :] premult_disp,
 */

/* Python wrapper */
static PyObject *__pyx_pw_4dipy_5align_13vector_fields_15compose_vector_fields_2d(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
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 */
      __pyx_t_5 = __pyx_v_nc1;
      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_j = __pyx_t_6;

        /* "dipy/align/vector_fields.pyx":1008
 * 
 *                 # This is the only place we access d1[k, i, j]
 *                 dkk = d1[k, i, j, 0]             # <<<<<<<<<<<<<<
 *                 dii = d1[k, i, j, 1]
 *                 djj = d1[k, i, j, 2]
 */
        __pyx_t_7 = __pyx_v_k;
        __pyx_t_8 = __pyx_v_i;
        __pyx_t_9 = __pyx_v_j;
        __pyx_t_10 = 0;
        __pyx_v_dkk = (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d1.data + __pyx_t_7 * __pyx_v_d1.strides[0]) ) + __pyx_t_8 * __pyx_v_d1.strides[1]) ) + __pyx_t_9 * __pyx_v_d1.strides[2]) ) + __pyx_t_10 * __pyx_v_d1.strides[3]) )));

        /* "dipy/align/vector_fields.pyx":1009
 *                 # This is the only place we access d1[k, i, j]
 *                 dkk = d1[k, i, j, 0]
 *                 dii = d1[k, i, j, 1]             # <<<<<<<<<<<<<<
 *                 djj = d1[k, i, j, 2]
 * 
 */
        __pyx_t_11 = __pyx_v_k;
        __pyx_t_12 = __pyx_v_i;
        __pyx_t_13 = __pyx_v_j;
        __pyx_t_14 = 1;
        __pyx_v_dii = (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d1.data + __pyx_t_11 * __pyx_v_d1.strides[0]) ) + __pyx_t_12 * __pyx_v_d1.strides[1]) ) + __pyx_t_13 * __pyx_v_d1.strides[2]) ) + __pyx_t_14 * __pyx_v_d1.strides[3]) )));

        /* "dipy/align/vector_fields.pyx":1010
 *                 dkk = d1[k, i, j, 0]
 *                 dii = d1[k, i, j, 1]
 *                 djj = d1[k, i, j, 2]             # <<<<<<<<<<<<<<
 * 
 *                 if premult_disp is None:
 */
        __pyx_t_15 = __pyx_v_k;
        __pyx_t_16 = __pyx_v_i;
        __pyx_t_17 = __pyx_v_j;
        __pyx_t_18 = 2;
        __pyx_v_djj = (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d1.data + __pyx_t_15 * __pyx_v_d1.strides[0]) ) + __pyx_t_16 * __pyx_v_d1.strides[1]) ) + __pyx_t_17 * __pyx_v_d1.strides[2]) ) + __pyx_t_18 * __pyx_v_d1.strides[3]) )));

        /* "dipy/align/vector_fields.pyx":1012
 *                 djj = d1[k, i, j, 2]
 * 
 *                 if premult_disp is None:             # <<<<<<<<<<<<<<
 *                     dk = dkk
 *                     di = dii
 */
        __pyx_t_19 = ((((PyObject *) __pyx_v_premult_disp.memview) == Py_None) != 0);
        if (__pyx_t_19) {

          /* "dipy/align/vector_fields.pyx":1013
 * 
 *                 if premult_disp is None:
 *                     dk = dkk             # <<<<<<<<<<<<<<
 *                     di = dii
 *                     dj = djj
 */
          __pyx_v_dk = __pyx_v_dkk;

          /* "dipy/align/vector_fields.pyx":1014
 *                 if premult_disp is None:
 *                     dk = dkk
 *                     di = dii             # <<<<<<<<<<<<<<
 *                     dj = djj
 *                 else:
 */
          __pyx_v_di = __pyx_v_dii;

          /* "dipy/align/vector_fields.pyx":1015
 *                     dk = dkk
 *                     di = dii
 *                     dj = djj             # <<<<<<<<<<<<<<
 *                 else:
 *                     dk = _apply_affine_3d_x0(dkk, dii, djj, 0, premult_disp)
 */
          __pyx_v_dj = __pyx_v_djj;

          /* "dipy/align/vector_fields.pyx":1012
 *                 djj = d1[k, i, j, 2]
 * 
 *                 if premult_disp is None:             # <<<<<<<<<<<<<<
 *                     dk = dkk
 *                     di = dii
 */
          goto __pyx_L9;
        }

        /* "dipy/align/vector_fields.pyx":1017
 *                     dj = djj
 *                 else:
 *                     dk = _apply_affine_3d_x0(dkk, dii, djj, 0, premult_disp)             # <<<<<<<<<<<<<<
 *                     di = _apply_affine_3d_x1(dkk, dii, djj, 0, premult_disp)
 *                     dj = _apply_affine_3d_x2(dkk, dii, djj, 0, premult_disp)
 */
        /*else*/ {
          __pyx_v_dk = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x0(__pyx_v_dkk, __pyx_v_dii, __pyx_v_djj, 0.0, __pyx_v_premult_disp);

          /* "dipy/align/vector_fields.pyx":1018
 *                 else:
 *                     dk = _apply_affine_3d_x0(dkk, dii, djj, 0, premult_disp)
 *                     di = _apply_affine_3d_x1(dkk, dii, djj, 0, premult_disp)             # <<<<<<<<<<<<<<
 *                     dj = _apply_affine_3d_x2(dkk, dii, djj, 0, premult_disp)
 * 
 */
          __pyx_v_di = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1(__pyx_v_dkk, __pyx_v_dii, __pyx_v_djj, 0.0, __pyx_v_premult_disp);

          /* "dipy/align/vector_fields.pyx":1019
 *                     dk = _apply_affine_3d_x0(dkk, dii, djj, 0, premult_disp)
 *                     di = _apply_affine_3d_x1(dkk, dii, djj, 0, premult_disp)
 *                     dj = _apply_affine_3d_x2(dkk, dii, djj, 0, premult_disp)             # <<<<<<<<<<<<<<
 * 
 *                 if premult_index is None:
 */
          __pyx_v_dj = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2(__pyx_v_dkk, __pyx_v_dii, __pyx_v_djj, 0.0, __pyx_v_premult_disp);
        }
        __pyx_L9:;

        /* "dipy/align/vector_fields.pyx":1021
 *                     dj = _apply_affine_3d_x2(dkk, dii, djj, 0, premult_disp)
 * 
 *                 if premult_index is None:             # <<<<<<<<<<<<<<
 *                     dkkk = k
 *                     diii = i
 */
        __pyx_t_19 = ((((PyObject *) __pyx_v_premult_index.memview) == Py_None) != 0);
        if (__pyx_t_19) {

          /* "dipy/align/vector_fields.pyx":1022
 * 
 *                 if premult_index is None:
 *                     dkkk = k             # <<<<<<<<<<<<<<
 *                     diii = i
 *                     djjj = j
 */
          __pyx_v_dkkk = __pyx_v_k;

          /* "dipy/align/vector_fields.pyx":1023
 *                 if premult_index is None:
 *                     dkkk = k
 *                     diii = i             # <<<<<<<<<<<<<<
 *                     djjj = j
 *                 else:
 */
          __pyx_v_diii = __pyx_v_i;

          /* "dipy/align/vector_fields.pyx":1024
 *                     dkkk = k
 *                     diii = i
 *                     djjj = j             # <<<<<<<<<<<<<<
 *                 else:
 *                     dkkk = _apply_affine_3d_x0(k, i, j, 1, premult_index)
 */
          __pyx_v_djjj = __pyx_v_j;

          /* "dipy/align/vector_fields.pyx":1021
 *                     dj = _apply_affine_3d_x2(dkk, dii, djj, 0, premult_disp)
 * 
 *                 if premult_index is None:             # <<<<<<<<<<<<<<
 *                     dkkk = k
 *                     diii = i
 */
          goto __pyx_L10;
        }

        /* "dipy/align/vector_fields.pyx":1026
 *                     djjj = j
 *                 else:
 *                     dkkk = _apply_affine_3d_x0(k, i, j, 1, premult_index)             # <<<<<<<<<<<<<<
 *                     diii = _apply_affine_3d_x1(k, i, j, 1, premult_index)
 *                     djjj = _apply_affine_3d_x2(k, i, j, 1, premult_index)
 */
        /*else*/ {
          __pyx_v_dkkk = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x0(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_premult_index);

          /* "dipy/align/vector_fields.pyx":1027
 *                 else:
 *                     dkkk = _apply_affine_3d_x0(k, i, j, 1, premult_index)
 *                     diii = _apply_affine_3d_x1(k, i, j, 1, premult_index)             # <<<<<<<<<<<<<<
 *                     djjj = _apply_affine_3d_x2(k, i, j, 1, premult_index)
 * 
 */
          __pyx_v_diii = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_premult_index);

          /* "dipy/align/vector_fields.pyx":1028
 *                     dkkk = _apply_affine_3d_x0(k, i, j, 1, premult_index)
 *                     diii = _apply_affine_3d_x1(k, i, j, 1, premult_index)
 *                     djjj = _apply_affine_3d_x2(k, i, j, 1, premult_index)             # <<<<<<<<<<<<<<
 * 
 *                 dkkk += dk
 */
          __pyx_v_djjj = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_premult_index);
        }
        __pyx_L10:;

        /* "dipy/align/vector_fields.pyx":1030
 *                     djjj = _apply_affine_3d_x2(k, i, j, 1, premult_index)
 * 
 *                 dkkk += dk             # <<<<<<<<<<<<<<
 *                 diii += di
 *                 djjj += dj
 */
        __pyx_v_dkkk = (__pyx_v_dkkk + __pyx_v_dk);

        /* "dipy/align/vector_fields.pyx":1031
 * 
 *                 dkkk += dk
 *                 diii += di             # <<<<<<<<<<<<<<
 *                 djjj += dj
 * 
 */
        __pyx_v_diii = (__pyx_v_diii + __pyx_v_di);

        /* "dipy/align/vector_fields.pyx":1032
 *                 dkkk += dk
 *                 diii += di
 *                 djjj += dj             # <<<<<<<<<<<<<<
 * 
 *                 # If d1 and comp are the same array, this will correctly update
 */
        __pyx_v_djjj = (__pyx_v_djjj + __pyx_v_dj);

        /* "dipy/align/vector_fields.pyx":1040
 *                 # from d2, which may be problematic
 *                 inside = _interpolate_vector_3d[floating](d2, dkkk, diii, djjj,
 *                                                           &comp[k, i, j, 0])             # <<<<<<<<<<<<<<
 * 
 *                 if inside == 1:
 */
        __pyx_t_20 = __pyx_v_k;
        __pyx_t_21 = __pyx_v_i;
        __pyx_t_22 = __pyx_v_j;
        __pyx_t_23 = 0;

        /* "dipy/align/vector_fields.pyx":1039
 *                 # may be in the neighborhood of a previously updated vector
 *                 # from d2, which may be problematic
 *                 inside = _interpolate_vector_3d[floating](d2, dkkk, diii, djjj,             # <<<<<<<<<<<<<<
 *                                                           &comp[k, i, j, 0])
 * 
 */
        __pyx_v_inside = __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__interpolate_vector_3d(__pyx_v_d2, __pyx_v_dkkk, __pyx_v_diii, __pyx_v_djjj, (&(*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_20 * __pyx_v_comp.strides[0]) ) + __pyx_t_21 * __pyx_v_comp.strides[1]) ) + __pyx_t_22 * __pyx_v_comp.strides[2]) ) + __pyx_t_23 * __pyx_v_comp.strides[3]) )))));

        /* "dipy/align/vector_fields.pyx":1042
 *                                                           &comp[k, i, j, 0])
 * 
 *                 if inside == 1:             # <<<<<<<<<<<<<<
 *                     comp[k, i, j, 0] = t * comp[k, i, j, 0] + dkk
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii
 */
        __pyx_t_19 = ((__pyx_v_inside == 1) != 0);
        if (__pyx_t_19) {

          /* "dipy/align/vector_fields.pyx":1043
 * 
 *                 if inside == 1:
 *                     comp[k, i, j, 0] = t * comp[k, i, j, 0] + dkk             # <<<<<<<<<<<<<<
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii
 *                     comp[k, i, j, 2] = t * comp[k, i, j, 2] + djj
 */
          __pyx_t_24 = __pyx_v_k;
          __pyx_t_25 = __pyx_v_i;
          __pyx_t_26 = __pyx_v_j;
          __pyx_t_27 = 0;
          __pyx_t_28 = __pyx_v_k;
          __pyx_t_29 = __pyx_v_i;
          __pyx_t_30 = __pyx_v_j;
          __pyx_t_31 = 0;
          *((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_28 * __pyx_v_comp.strides[0]) ) + __pyx_t_29 * __pyx_v_comp.strides[1]) ) + __pyx_t_30 * __pyx_v_comp.strides[2]) ) + __pyx_t_31 * __pyx_v_comp.strides[3]) )) = ((__pyx_v_t * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_24 * __pyx_v_comp.strides[0]) ) + __pyx_t_25 * __pyx_v_comp.strides[1]) ) + __pyx_t_26 * __pyx_v_comp.strides[2]) ) + __pyx_t_27 * __pyx_v_comp.strides[3]) )))) + __pyx_v_dkk);

          /* "dipy/align/vector_fields.pyx":1044
 *                 if inside == 1:
 *                     comp[k, i, j, 0] = t * comp[k, i, j, 0] + dkk
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii             # <<<<<<<<<<<<<<
 *                     comp[k, i, j, 2] = t * comp[k, i, j, 2] + djj
 *                     nn = (comp[k, i, j, 0] ** 2 + comp[k, i, j, 1] ** 2 +
 */
          __pyx_t_32 = __pyx_v_k;
          __pyx_t_33 = __pyx_v_i;
          __pyx_t_34 = __pyx_v_j;
          __pyx_t_35 = 1;
          __pyx_t_36 = __pyx_v_k;
          __pyx_t_37 = __pyx_v_i;
          __pyx_t_38 = __pyx_v_j;
          __pyx_t_39 = 1;
          *((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_36 * __pyx_v_comp.strides[0]) ) + __pyx_t_37 * __pyx_v_comp.strides[1]) ) + __pyx_t_38 * __pyx_v_comp.strides[2]) ) + __pyx_t_39 * __pyx_v_comp.strides[3]) )) = ((__pyx_v_t * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_32 * __pyx_v_comp.strides[0]) ) + __pyx_t_33 * __pyx_v_comp.strides[1]) ) + __pyx_t_34 * __pyx_v_comp.strides[2]) ) + __pyx_t_35 * __pyx_v_comp.strides[3]) )))) + __pyx_v_dii);

          /* "dipy/align/vector_fields.pyx":1045
 *                     comp[k, i, j, 0] = t * comp[k, i, j, 0] + dkk
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii
 *                     comp[k, i, j, 2] = t * comp[k, i, j, 2] + djj             # <<<<<<<<<<<<<<
 *                     nn = (comp[k, i, j, 0] ** 2 + comp[k, i, j, 1] ** 2 +
 *                           comp[k, i, j, 2]**2)
 */
          __pyx_t_40 = __pyx_v_k;
          __pyx_t_41 = __pyx_v_i;
          __pyx_t_42 = __pyx_v_j;
          __pyx_t_43 = 2;
          __pyx_t_44 = __pyx_v_k;
          __pyx_t_45 = __pyx_v_i;
          __pyx_t_46 = __pyx_v_j;
          __pyx_t_47 = 2;
          *((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_44 * __pyx_v_comp.strides[0]) ) + __pyx_t_45 * __pyx_v_comp.strides[1]) ) + __pyx_t_46 * __pyx_v_comp.strides[2]) ) + __pyx_t_47 * __pyx_v_comp.strides[3]) )) = ((__pyx_v_t * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_40 * __pyx_v_comp.strides[0]) ) + __pyx_t_41 * __pyx_v_comp.strides[1]) ) + __pyx_t_42 * __pyx_v_comp.strides[2]) ) + __pyx_t_43 * __pyx_v_comp.strides[3]) )))) + __pyx_v_djj);

          /* "dipy/align/vector_fields.pyx":1046
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii
 *                     comp[k, i, j, 2] = t * comp[k, i, j, 2] + djj
 *                     nn = (comp[k, i, j, 0] ** 2 + comp[k, i, j, 1] ** 2 +             # <<<<<<<<<<<<<<
 *                           comp[k, i, j, 2]**2)
 *                     meanNorm += nn
 */
          __pyx_t_48 = __pyx_v_k;
          __pyx_t_49 = __pyx_v_i;
          __pyx_t_50 = __pyx_v_j;
          __pyx_t_51 = 0;
          __pyx_t_52 = __pyx_v_k;
          __pyx_t_53 = __pyx_v_i;
          __pyx_t_54 = __pyx_v_j;
          __pyx_t_55 = 1;

          /* "dipy/align/vector_fields.pyx":1047
 *                     comp[k, i, j, 2] = t * comp[k, i, j, 2] + djj
 *                     nn = (comp[k, i, j, 0] ** 2 + comp[k, i, j, 1] ** 2 +
 *                           comp[k, i, j, 2]**2)             # <<<<<<<<<<<<<<
 *                     meanNorm += nn
 *                     stdNorm += nn * nn
 */
          __pyx_t_56 = __pyx_v_k;
          __pyx_t_57 = __pyx_v_i;
          __pyx_t_58 = __pyx_v_j;
          __pyx_t_59 = 2;

          /* "dipy/align/vector_fields.pyx":1046
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii
 *                     comp[k, i, j, 2] = t * comp[k, i, j, 2] + djj
 *                     nn = (comp[k, i, j, 0] ** 2 + comp[k, i, j, 1] ** 2 +             # <<<<<<<<<<<<<<
 *                           comp[k, i, j, 2]**2)
 *                     meanNorm += nn
 */
          __pyx_v_nn = ((powf((*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_48 * __pyx_v_comp.strides[0]) ) + __pyx_t_49 * __pyx_v_comp.strides[1]) ) + __pyx_t_50 * __pyx_v_comp.strides[2]) ) + __pyx_t_51 * __pyx_v_comp.strides[3]) ))), 2.0) + powf((*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_52 * __pyx_v_comp.strides[0]) ) + __pyx_t_53 * __pyx_v_comp.strides[1]) ) + __pyx_t_54 * __pyx_v_comp.strides[2]) ) + __pyx_t_55 * __pyx_v_comp.strides[3]) ))), 2.0)) + powf((*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_56 * __pyx_v_comp.strides[0]) ) + __pyx_t_57 * __pyx_v_comp.strides[1]) ) + __pyx_t_58 * __pyx_v_comp.strides[2]) ) + __pyx_t_59 * __pyx_v_comp.strides[3]) ))), 2.0));

          /* "dipy/align/vector_fields.pyx":1048
 *                     nn = (comp[k, i, j, 0] ** 2 + comp[k, i, j, 1] ** 2 +
 *                           comp[k, i, j, 2]**2)
 *                     meanNorm += nn             # <<<<<<<<<<<<<<
 *                     stdNorm += nn * nn
 *                     cnt += 1
 */
          __pyx_v_meanNorm = (__pyx_v_meanNorm + __pyx_v_nn);

          /* "dipy/align/vector_fields.pyx":1049
 *                           comp[k, i, j, 2]**2)
 *                     meanNorm += nn
 *                     stdNorm += nn * nn             # <<<<<<<<<<<<<<
 *                     cnt += 1
 *                     if(maxNorm < nn):
 */
          __pyx_v_stdNorm = (__pyx_v_stdNorm + (__pyx_v_nn * __pyx_v_nn));

          /* "dipy/align/vector_fields.pyx":1050
 *                     meanNorm += nn
 *                     stdNorm += nn * nn
 *                     cnt += 1             # <<<<<<<<<<<<<<
 *                     if(maxNorm < nn):
 *                         maxNorm = nn
 */
          __pyx_v_cnt = (__pyx_v_cnt + 1);

          /* "dipy/align/vector_fields.pyx":1051
 *                     stdNorm += nn * nn
 *                     cnt += 1
 *                     if(maxNorm < nn):             # <<<<<<<<<<<<<<
 *                         maxNorm = nn
 *                 else:
 */
          __pyx_t_19 = ((__pyx_v_maxNorm < __pyx_v_nn) != 0);
          if (__pyx_t_19) {

            /* "dipy/align/vector_fields.pyx":1052
 *                     cnt += 1
 *                     if(maxNorm < nn):
 *                         maxNorm = nn             # <<<<<<<<<<<<<<
 *                 else:
 *                     comp[k, i, j, 0] = 0
 */
            __pyx_v_maxNorm = __pyx_v_nn;

            /* "dipy/align/vector_fields.pyx":1051
 *                     stdNorm += nn * nn
 *                     cnt += 1
 *                     if(maxNorm < nn):             # <<<<<<<<<<<<<<
 *                         maxNorm = nn
 *                 else:
 */
          }

          /* "dipy/align/vector_fields.pyx":1042
 *                                                           &comp[k, i, j, 0])
 * 
 *                 if inside == 1:             # <<<<<<<<<<<<<<
 *                     comp[k, i, j, 0] = t * comp[k, i, j, 0] + dkk
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii
 */
          goto __pyx_L11;
        }

        /* "dipy/align/vector_fields.pyx":1054
 *                         maxNorm = nn
 *                 else:
 *                     comp[k, i, j, 0] = 0             # <<<<<<<<<<<<<<
 *                     comp[k, i, j, 1] = 0
 *                     comp[k, i, j, 2] = 0
 */
        /*else*/ {
          __pyx_t_60 = __pyx_v_k;
          __pyx_t_61 = __pyx_v_i;
          __pyx_t_62 = __pyx_v_j;
          __pyx_t_63 = 0;
          *((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_60 * __pyx_v_comp.strides[0]) ) + __pyx_t_61 * __pyx_v_comp.strides[1]) ) + __pyx_t_62 * __pyx_v_comp.strides[2]) ) + __pyx_t_63 * __pyx_v_comp.strides[3]) )) = 0.0;

          /* "dipy/align/vector_fields.pyx":1055
 *                 else:
 *                     comp[k, i, j, 0] = 0
 *                     comp[k, i, j, 1] = 0             # <<<<<<<<<<<<<<
 *                     comp[k, i, j, 2] = 0
 *     meanNorm /= cnt
 */
          __pyx_t_64 = __pyx_v_k;
          __pyx_t_65 = __pyx_v_i;
          __pyx_t_66 = __pyx_v_j;
          __pyx_t_67 = 1;
          *((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_64 * __pyx_v_comp.strides[0]) ) + __pyx_t_65 * __pyx_v_comp.strides[1]) ) + __pyx_t_66 * __pyx_v_comp.strides[2]) ) + __pyx_t_67 * __pyx_v_comp.strides[3]) )) = 0.0;

          /* "dipy/align/vector_fields.pyx":1056
 *                     comp[k, i, j, 0] = 0
 *                     comp[k, i, j, 1] = 0
 *                     comp[k, i, j, 2] = 0             # <<<<<<<<<<<<<<
 *     meanNorm /= cnt
 *     stats[0] = sqrt(maxNorm)
 */
          __pyx_t_68 = __pyx_v_k;
          __pyx_t_69 = __pyx_v_i;
          __pyx_t_70 = __pyx_v_j;
          __pyx_t_71 = 2;
          *((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_68 * __pyx_v_comp.strides[0]) ) + __pyx_t_69 * __pyx_v_comp.strides[1]) ) + __pyx_t_70 * __pyx_v_comp.strides[2]) ) + __pyx_t_71 * __pyx_v_comp.strides[3]) )) = 0.0;
        }
        __pyx_L11:;
      }
    }
  }

  /* "dipy/align/vector_fields.pyx":1057
 *                     comp[k, i, j, 1] = 0
 *                     comp[k, i, j, 2] = 0
 *     meanNorm /= cnt             # <<<<<<<<<<<<<<
 *     stats[0] = sqrt(maxNorm)
 *     stats[1] = sqrt(meanNorm)
 */
  __pyx_v_meanNorm = (__pyx_v_meanNorm / __pyx_v_cnt);

  /* "dipy/align/vector_fields.pyx":1058
 *                     comp[k, i, j, 2] = 0
 *     meanNorm /= cnt
 *     stats[0] = sqrt(maxNorm)             # <<<<<<<<<<<<<<
 *     stats[1] = sqrt(meanNorm)
 *     stats[2] = sqrt(stdNorm / cnt - meanNorm * meanNorm)
 */
  __pyx_t_72 = 0;
  *((double *) ( /* dim=0 */ (__pyx_v_stats.data + __pyx_t_72 * __pyx_v_stats.strides[0]) )) = sqrt(__pyx_v_maxNorm);

  /* "dipy/align/vector_fields.pyx":1059
 *     meanNorm /= cnt
 *     stats[0] = sqrt(maxNorm)
 *     stats[1] = sqrt(meanNorm)             # <<<<<<<<<<<<<<
 *     stats[2] = sqrt(stdNorm / cnt - meanNorm * meanNorm)
 * 
 */
  __pyx_t_73 = 1;
  *((double *) ( /* dim=0 */ (__pyx_v_stats.data + __pyx_t_73 * __pyx_v_stats.strides[0]) )) = sqrt(__pyx_v_meanNorm);

  /* "dipy/align/vector_fields.pyx":1060
 *     stats[0] = sqrt(maxNorm)
 *     stats[1] = sqrt(meanNorm)
 *     stats[2] = sqrt(stdNorm / cnt - meanNorm * meanNorm)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_74 = 2;
  *((double *) ( /* dim=0 */ (__pyx_v_stats.data + __pyx_t_74 * __pyx_v_stats.strides[0]) )) = sqrt(((__pyx_v_stdNorm / __pyx_v_cnt) - (__pyx_v_meanNorm * __pyx_v_meanNorm)));

  /* "dipy/align/vector_fields.pyx":922
 * 
 * 
 * cdef void _compose_vector_fields_3d(floating[:, :, :, :] d1,             # <<<<<<<<<<<<<<
 *                                     floating[:, :, :, :] d2,
 *                                     double[:, :] premult_index,
 */

  /* function exit code */
}

static void __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__compose_vector_fields_3d(__Pyx_memviewslice __pyx_v_d1, __Pyx_memviewslice __pyx_v_d2, __Pyx_memviewslice __pyx_v_premult_index, __Pyx_memviewslice __pyx_v_premult_disp, double __pyx_v_t, __Pyx_memviewslice __pyx_v_comp, __Pyx_memviewslice __pyx_v_stats) {
  npy_intp __pyx_v_ns1;
  npy_intp __pyx_v_nr1;
  npy_intp __pyx_v_nc1;
  CYTHON_UNUSED npy_intp __pyx_v_ns2;
  CYTHON_UNUSED npy_intp __pyx_v_nr2;
  CYTHON_UNUSED npy_intp __pyx_v_nc2;
  int __pyx_v_inside;
  int __pyx_v_cnt;
  double __pyx_v_maxNorm;
  double __pyx_v_meanNorm;
  double __pyx_v_stdNorm;
  double __pyx_v_nn;
  npy_intp __pyx_v_i;
  npy_intp __pyx_v_j;
  npy_intp __pyx_v_k;
  double __pyx_v_di;
  double __pyx_v_dj;
  double __pyx_v_dk;
  double __pyx_v_dii;
  double __pyx_v_djj;
  double __pyx_v_dkk;
  double __pyx_v_diii;
  double __pyx_v_djjj;
  double __pyx_v_dkkk;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  npy_intp __pyx_t_4;
  npy_intp __pyx_t_5;
  npy_intp __pyx_t_6;
  Py_ssize_t __pyx_t_7;
  Py_ssize_t __pyx_t_8;
  Py_ssize_t __pyx_t_9;
  Py_ssize_t __pyx_t_10;
  Py_ssize_t __pyx_t_11;
  Py_ssize_t __pyx_t_12;
  Py_ssize_t __pyx_t_13;
  Py_ssize_t __pyx_t_14;
  Py_ssize_t __pyx_t_15;
  Py_ssize_t __pyx_t_16;
  Py_ssize_t __pyx_t_17;
  Py_ssize_t __pyx_t_18;
  int __pyx_t_19;
  Py_ssize_t __pyx_t_20;
  Py_ssize_t __pyx_t_21;
  Py_ssize_t __pyx_t_22;
  Py_ssize_t __pyx_t_23;
  Py_ssize_t __pyx_t_24;
  Py_ssize_t __pyx_t_25;
  Py_ssize_t __pyx_t_26;
  Py_ssize_t __pyx_t_27;
  Py_ssize_t __pyx_t_28;
  Py_ssize_t __pyx_t_29;
  Py_ssize_t __pyx_t_30;
  Py_ssize_t __pyx_t_31;
  Py_ssize_t __pyx_t_32;
  Py_ssize_t __pyx_t_33;
  Py_ssize_t __pyx_t_34;
  Py_ssize_t __pyx_t_35;
  Py_ssize_t __pyx_t_36;
  Py_ssize_t __pyx_t_37;
  Py_ssize_t __pyx_t_38;
  Py_ssize_t __pyx_t_39;
  Py_ssize_t __pyx_t_40;
  Py_ssize_t __pyx_t_41;
  Py_ssize_t __pyx_t_42;
  Py_ssize_t __pyx_t_43;
  Py_ssize_t __pyx_t_44;
  Py_ssize_t __pyx_t_45;
  Py_ssize_t __pyx_t_46;
  Py_ssize_t __pyx_t_47;
  Py_ssize_t __pyx_t_48;
  Py_ssize_t __pyx_t_49;
  Py_ssize_t __pyx_t_50;
  Py_ssize_t __pyx_t_51;
  Py_ssize_t __pyx_t_52;
  Py_ssize_t __pyx_t_53;
  Py_ssize_t __pyx_t_54;
  Py_ssize_t __pyx_t_55;
  Py_ssize_t __pyx_t_56;
  Py_ssize_t __pyx_t_57;
  Py_ssize_t __pyx_t_58;
  Py_ssize_t __pyx_t_59;
  Py_ssize_t __pyx_t_60;
  Py_ssize_t __pyx_t_61;
  Py_ssize_t __pyx_t_62;
  Py_ssize_t __pyx_t_63;
  Py_ssize_t __pyx_t_64;
  Py_ssize_t __pyx_t_65;
  Py_ssize_t __pyx_t_66;
  Py_ssize_t __pyx_t_67;
  Py_ssize_t __pyx_t_68;
  Py_ssize_t __pyx_t_69;
  Py_ssize_t __pyx_t_70;
  Py_ssize_t __pyx_t_71;
  Py_ssize_t __pyx_t_72;
  Py_ssize_t __pyx_t_73;
  Py_ssize_t __pyx_t_74;

  /* "dipy/align/vector_fields.pyx":990
 *     """
 *     cdef:
 *         cnp.npy_intp ns1 = d1.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nr1 = d1.shape[1]
 *         cnp.npy_intp nc1 = d1.shape[2]
 */
  __pyx_v_ns1 = (__pyx_v_d1.shape[0]);

  /* "dipy/align/vector_fields.pyx":991
 *     cdef:
 *         cnp.npy_intp ns1 = d1.shape[0]
 *         cnp.npy_intp nr1 = d1.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc1 = d1.shape[2]
 *         cnp.npy_intp ns2 = d2.shape[0]
 */
  __pyx_v_nr1 = (__pyx_v_d1.shape[1]);

  /* "dipy/align/vector_fields.pyx":992
 *         cnp.npy_intp ns1 = d1.shape[0]
 *         cnp.npy_intp nr1 = d1.shape[1]
 *         cnp.npy_intp nc1 = d1.shape[2]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp ns2 = d2.shape[0]
 *         cnp.npy_intp nr2 = d2.shape[1]
 */
  __pyx_v_nc1 = (__pyx_v_d1.shape[2]);

  /* "dipy/align/vector_fields.pyx":993
 *         cnp.npy_intp nr1 = d1.shape[1]
 *         cnp.npy_intp nc1 = d1.shape[2]
 *         cnp.npy_intp ns2 = d2.shape[0]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nr2 = d2.shape[1]
 *         cnp.npy_intp nc2 = d2.shape[2]
 */
  __pyx_v_ns2 = (__pyx_v_d2.shape[0]);

  /* "dipy/align/vector_fields.pyx":994
 *         cnp.npy_intp nc1 = d1.shape[2]
 *         cnp.npy_intp ns2 = d2.shape[0]
 *         cnp.npy_intp nr2 = d2.shape[1]             # <<<<<<<<<<<<<<
 *         cnp.npy_intp nc2 = d2.shape[2]
 *         int inside, cnt = 0
 */
  __pyx_v_nr2 = (__pyx_v_d2.shape[1]);

  /* "dipy/align/vector_fields.pyx":995
 *         cnp.npy_intp ns2 = d2.shape[0]
 *         cnp.npy_intp nr2 = d2.shape[1]
 *         cnp.npy_intp nc2 = d2.shape[2]             # <<<<<<<<<<<<<<
 *         int inside, cnt = 0
 *         double maxNorm = 0
 */
  __pyx_v_nc2 = (__pyx_v_d2.shape[2]);

  /* "dipy/align/vector_fields.pyx":996
 *         cnp.npy_intp nr2 = d2.shape[1]
 *         cnp.npy_intp nc2 = d2.shape[2]
 *         int inside, cnt = 0             # <<<<<<<<<<<<<<
 *         double maxNorm = 0
 *         double meanNorm = 0
 */
  __pyx_v_cnt = 0;

  /* "dipy/align/vector_fields.pyx":997
 *         cnp.npy_intp nc2 = d2.shape[2]
 *         int inside, cnt = 0
 *         double maxNorm = 0             # <<<<<<<<<<<<<<
 *         double meanNorm = 0
 *         double stdNorm = 0
 */
  __pyx_v_maxNorm = 0.0;

  /* "dipy/align/vector_fields.pyx":998
 *         int inside, cnt = 0
 *         double maxNorm = 0
 *         double meanNorm = 0             # <<<<<<<<<<<<<<
 *         double stdNorm = 0
 *         double nn
 */
  __pyx_v_meanNorm = 0.0;

  /* "dipy/align/vector_fields.pyx":999
 *         double maxNorm = 0
 *         double meanNorm = 0
 *         double stdNorm = 0             # <<<<<<<<<<<<<<
 *         double nn
 *         cnp.npy_intp i, j, k
 */
  __pyx_v_stdNorm = 0.0;

  /* "dipy/align/vector_fields.pyx":1003
 *         cnp.npy_intp i, j, k
 *         double di, dj, dk, dii, djj, dkk, diii, djjj, dkkk
 *     for k in range(ns1):             # <<<<<<<<<<<<<<
 *         for i in range(nr1):
 *             for j in range(nc1):
 */
  __pyx_t_1 = __pyx_v_ns1;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_k = __pyx_t_2;

    /* "dipy/align/vector_fields.pyx":1004
 *         double di, dj, dk, dii, djj, dkk, diii, djjj, dkkk
 *     for k in range(ns1):
 *         for i in range(nr1):             # <<<<<<<<<<<<<<
 *             for j in range(nc1):
 * 
 */
    __pyx_t_3 = __pyx_v_nr1;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_i = __pyx_t_4;

      /* "dipy/align/vector_fields.pyx":1005
 *     for k in range(ns1):
 *         for i in range(nr1):
 *             for j in range(nc1):             # <<<<<<<<<<<<<<
 * 
 *                 # This is the only place we access d1[k, i, j]
 */
      __pyx_t_5 = __pyx_v_nc1;
      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_j = __pyx_t_6;

        /* "dipy/align/vector_fields.pyx":1008
 * 
 *                 # This is the only place we access d1[k, i, j]
 *                 dkk = d1[k, i, j, 0]             # <<<<<<<<<<<<<<
 *                 dii = d1[k, i, j, 1]
 *                 djj = d1[k, i, j, 2]
 */
        __pyx_t_7 = __pyx_v_k;
        __pyx_t_8 = __pyx_v_i;
        __pyx_t_9 = __pyx_v_j;
        __pyx_t_10 = 0;
        __pyx_v_dkk = (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d1.data + __pyx_t_7 * __pyx_v_d1.strides[0]) ) + __pyx_t_8 * __pyx_v_d1.strides[1]) ) + __pyx_t_9 * __pyx_v_d1.strides[2]) ) + __pyx_t_10 * __pyx_v_d1.strides[3]) )));

        /* "dipy/align/vector_fields.pyx":1009
 *                 # This is the only place we access d1[k, i, j]
 *                 dkk = d1[k, i, j, 0]
 *                 dii = d1[k, i, j, 1]             # <<<<<<<<<<<<<<
 *                 djj = d1[k, i, j, 2]
 * 
 */
        __pyx_t_11 = __pyx_v_k;
        __pyx_t_12 = __pyx_v_i;
        __pyx_t_13 = __pyx_v_j;
        __pyx_t_14 = 1;
        __pyx_v_dii = (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d1.data + __pyx_t_11 * __pyx_v_d1.strides[0]) ) + __pyx_t_12 * __pyx_v_d1.strides[1]) ) + __pyx_t_13 * __pyx_v_d1.strides[2]) ) + __pyx_t_14 * __pyx_v_d1.strides[3]) )));

        /* "dipy/align/vector_fields.pyx":1010
 *                 dkk = d1[k, i, j, 0]
 *                 dii = d1[k, i, j, 1]
 *                 djj = d1[k, i, j, 2]             # <<<<<<<<<<<<<<
 * 
 *                 if premult_disp is None:
 */
        __pyx_t_15 = __pyx_v_k;
        __pyx_t_16 = __pyx_v_i;
        __pyx_t_17 = __pyx_v_j;
        __pyx_t_18 = 2;
        __pyx_v_djj = (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d1.data + __pyx_t_15 * __pyx_v_d1.strides[0]) ) + __pyx_t_16 * __pyx_v_d1.strides[1]) ) + __pyx_t_17 * __pyx_v_d1.strides[2]) ) + __pyx_t_18 * __pyx_v_d1.strides[3]) )));

        /* "dipy/align/vector_fields.pyx":1012
 *                 djj = d1[k, i, j, 2]
 * 
 *                 if premult_disp is None:             # <<<<<<<<<<<<<<
 *                     dk = dkk
 *                     di = dii
 */
        __pyx_t_19 = ((((PyObject *) __pyx_v_premult_disp.memview) == Py_None) != 0);
        if (__pyx_t_19) {

          /* "dipy/align/vector_fields.pyx":1013
 * 
 *                 if premult_disp is None:
 *                     dk = dkk             # <<<<<<<<<<<<<<
 *                     di = dii
 *                     dj = djj
 */
          __pyx_v_dk = __pyx_v_dkk;

          /* "dipy/align/vector_fields.pyx":1014
 *                 if premult_disp is None:
 *                     dk = dkk
 *                     di = dii             # <<<<<<<<<<<<<<
 *                     dj = djj
 *                 else:
 */
          __pyx_v_di = __pyx_v_dii;

          /* "dipy/align/vector_fields.pyx":1015
 *                     dk = dkk
 *                     di = dii
 *                     dj = djj             # <<<<<<<<<<<<<<
 *                 else:
 *                     dk = _apply_affine_3d_x0(dkk, dii, djj, 0, premult_disp)
 */
          __pyx_v_dj = __pyx_v_djj;

          /* "dipy/align/vector_fields.pyx":1012
 *                 djj = d1[k, i, j, 2]
 * 
 *                 if premult_disp is None:             # <<<<<<<<<<<<<<
 *                     dk = dkk
 *                     di = dii
 */
          goto __pyx_L9;
        }

        /* "dipy/align/vector_fields.pyx":1017
 *                     dj = djj
 *                 else:
 *                     dk = _apply_affine_3d_x0(dkk, dii, djj, 0, premult_disp)             # <<<<<<<<<<<<<<
 *                     di = _apply_affine_3d_x1(dkk, dii, djj, 0, premult_disp)
 *                     dj = _apply_affine_3d_x2(dkk, dii, djj, 0, premult_disp)
 */
        /*else*/ {
          __pyx_v_dk = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x0(__pyx_v_dkk, __pyx_v_dii, __pyx_v_djj, 0.0, __pyx_v_premult_disp);

          /* "dipy/align/vector_fields.pyx":1018
 *                 else:
 *                     dk = _apply_affine_3d_x0(dkk, dii, djj, 0, premult_disp)
 *                     di = _apply_affine_3d_x1(dkk, dii, djj, 0, premult_disp)             # <<<<<<<<<<<<<<
 *                     dj = _apply_affine_3d_x2(dkk, dii, djj, 0, premult_disp)
 * 
 */
          __pyx_v_di = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1(__pyx_v_dkk, __pyx_v_dii, __pyx_v_djj, 0.0, __pyx_v_premult_disp);

          /* "dipy/align/vector_fields.pyx":1019
 *                     dk = _apply_affine_3d_x0(dkk, dii, djj, 0, premult_disp)
 *                     di = _apply_affine_3d_x1(dkk, dii, djj, 0, premult_disp)
 *                     dj = _apply_affine_3d_x2(dkk, dii, djj, 0, premult_disp)             # <<<<<<<<<<<<<<
 * 
 *                 if premult_index is None:
 */
          __pyx_v_dj = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2(__pyx_v_dkk, __pyx_v_dii, __pyx_v_djj, 0.0, __pyx_v_premult_disp);
        }
        __pyx_L9:;

        /* "dipy/align/vector_fields.pyx":1021
 *                     dj = _apply_affine_3d_x2(dkk, dii, djj, 0, premult_disp)
 * 
 *                 if premult_index is None:             # <<<<<<<<<<<<<<
 *                     dkkk = k
 *                     diii = i
 */
        __pyx_t_19 = ((((PyObject *) __pyx_v_premult_index.memview) == Py_None) != 0);
        if (__pyx_t_19) {

          /* "dipy/align/vector_fields.pyx":1022
 * 
 *                 if premult_index is None:
 *                     dkkk = k             # <<<<<<<<<<<<<<
 *                     diii = i
 *                     djjj = j
 */
          __pyx_v_dkkk = __pyx_v_k;

          /* "dipy/align/vector_fields.pyx":1023
 *                 if premult_index is None:
 *                     dkkk = k
 *                     diii = i             # <<<<<<<<<<<<<<
 *                     djjj = j
 *                 else:
 */
          __pyx_v_diii = __pyx_v_i;

          /* "dipy/align/vector_fields.pyx":1024
 *                     dkkk = k
 *                     diii = i
 *                     djjj = j             # <<<<<<<<<<<<<<
 *                 else:
 *                     dkkk = _apply_affine_3d_x0(k, i, j, 1, premult_index)
 */
          __pyx_v_djjj = __pyx_v_j;

          /* "dipy/align/vector_fields.pyx":1021
 *                     dj = _apply_affine_3d_x2(dkk, dii, djj, 0, premult_disp)
 * 
 *                 if premult_index is None:             # <<<<<<<<<<<<<<
 *                     dkkk = k
 *                     diii = i
 */
          goto __pyx_L10;
        }

        /* "dipy/align/vector_fields.pyx":1026
 *                     djjj = j
 *                 else:
 *                     dkkk = _apply_affine_3d_x0(k, i, j, 1, premult_index)             # <<<<<<<<<<<<<<
 *                     diii = _apply_affine_3d_x1(k, i, j, 1, premult_index)
 *                     djjj = _apply_affine_3d_x2(k, i, j, 1, premult_index)
 */
        /*else*/ {
          __pyx_v_dkkk = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x0(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_premult_index);

          /* "dipy/align/vector_fields.pyx":1027
 *                 else:
 *                     dkkk = _apply_affine_3d_x0(k, i, j, 1, premult_index)
 *                     diii = _apply_affine_3d_x1(k, i, j, 1, premult_index)             # <<<<<<<<<<<<<<
 *                     djjj = _apply_affine_3d_x2(k, i, j, 1, premult_index)
 * 
 */
          __pyx_v_diii = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_premult_index);

          /* "dipy/align/vector_fields.pyx":1028
 *                     dkkk = _apply_affine_3d_x0(k, i, j, 1, premult_index)
 *                     diii = _apply_affine_3d_x1(k, i, j, 1, premult_index)
 *                     djjj = _apply_affine_3d_x2(k, i, j, 1, premult_index)             # <<<<<<<<<<<<<<
 * 
 *                 dkkk += dk
 */
          __pyx_v_djjj = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_premult_index);
        }
        __pyx_L10:;

        /* "dipy/align/vector_fields.pyx":1030
 *                     djjj = _apply_affine_3d_x2(k, i, j, 1, premult_index)
 * 
 *                 dkkk += dk             # <<<<<<<<<<<<<<
 *                 diii += di
 *                 djjj += dj
 */
        __pyx_v_dkkk = (__pyx_v_dkkk + __pyx_v_dk);

        /* "dipy/align/vector_fields.pyx":1031
 * 
 *                 dkkk += dk
 *                 diii += di             # <<<<<<<<<<<<<<
 *                 djjj += dj
 * 
 */
        __pyx_v_diii = (__pyx_v_diii + __pyx_v_di);

        /* "dipy/align/vector_fields.pyx":1032
 *                 dkkk += dk
 *                 diii += di
 *                 djjj += dj             # <<<<<<<<<<<<<<
 * 
 *                 # If d1 and comp are the same array, this will correctly update
 */
        __pyx_v_djjj = (__pyx_v_djjj + __pyx_v_dj);

        /* "dipy/align/vector_fields.pyx":1040
 *                 # from d2, which may be problematic
 *                 inside = _interpolate_vector_3d[floating](d2, dkkk, diii, djjj,
 *                                                           &comp[k, i, j, 0])             # <<<<<<<<<<<<<<
 * 
 *                 if inside == 1:
 */
        __pyx_t_20 = __pyx_v_k;
        __pyx_t_21 = __pyx_v_i;
        __pyx_t_22 = __pyx_v_j;
        __pyx_t_23 = 0;

        /* "dipy/align/vector_fields.pyx":1039
 *                 # may be in the neighborhood of a previously updated vector
 *                 # from d2, which may be problematic
 *                 inside = _interpolate_vector_3d[floating](d2, dkkk, diii, djjj,             # <<<<<<<<<<<<<<
 *                                                           &comp[k, i, j, 0])
 * 
 */
        __pyx_v_inside = __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_vector_3d(__pyx_v_d2, __pyx_v_dkkk, __pyx_v_diii, __pyx_v_djjj, (&(*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_20 * __pyx_v_comp.strides[0]) ) + __pyx_t_21 * __pyx_v_comp.strides[1]) ) + __pyx_t_22 * __pyx_v_comp.strides[2]) ) + __pyx_t_23 * __pyx_v_comp.strides[3]) )))));

        /* "dipy/align/vector_fields.pyx":1042
 *                                                           &comp[k, i, j, 0])
 * 
 *                 if inside == 1:             # <<<<<<<<<<<<<<
 *                     comp[k, i, j, 0] = t * comp[k, i, j, 0] + dkk
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii
 */
        __pyx_t_19 = ((__pyx_v_inside == 1) != 0);
        if (__pyx_t_19) {

          /* "dipy/align/vector_fields.pyx":1043
 * 
 *                 if inside == 1:
 *                     comp[k, i, j, 0] = t * comp[k, i, j, 0] + dkk             # <<<<<<<<<<<<<<
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii
 *                     comp[k, i, j, 2] = t * comp[k, i, j, 2] + djj
 */
          __pyx_t_24 = __pyx_v_k;
          __pyx_t_25 = __pyx_v_i;
          __pyx_t_26 = __pyx_v_j;
          __pyx_t_27 = 0;
          __pyx_t_28 = __pyx_v_k;
          __pyx_t_29 = __pyx_v_i;
          __pyx_t_30 = __pyx_v_j;
          __pyx_t_31 = 0;
          *((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_28 * __pyx_v_comp.strides[0]) ) + __pyx_t_29 * __pyx_v_comp.strides[1]) ) + __pyx_t_30 * __pyx_v_comp.strides[2]) ) + __pyx_t_31 * __pyx_v_comp.strides[3]) )) = ((__pyx_v_t * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_24 * __pyx_v_comp.strides[0]) ) + __pyx_t_25 * __pyx_v_comp.strides[1]) ) + __pyx_t_26 * __pyx_v_comp.strides[2]) ) + __pyx_t_27 * __pyx_v_comp.strides[3]) )))) + __pyx_v_dkk);

          /* "dipy/align/vector_fields.pyx":1044
 *                 if inside == 1:
 *                     comp[k, i, j, 0] = t * comp[k, i, j, 0] + dkk
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii             # <<<<<<<<<<<<<<
 *                     comp[k, i, j, 2] = t * comp[k, i, j, 2] + djj
 *                     nn = (comp[k, i, j, 0] ** 2 + comp[k, i, j, 1] ** 2 +
 */
          __pyx_t_32 = __pyx_v_k;
          __pyx_t_33 = __pyx_v_i;
          __pyx_t_34 = __pyx_v_j;
          __pyx_t_35 = 1;
          __pyx_t_36 = __pyx_v_k;
          __pyx_t_37 = __pyx_v_i;
          __pyx_t_38 = __pyx_v_j;
          __pyx_t_39 = 1;
          *((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_36 * __pyx_v_comp.strides[0]) ) + __pyx_t_37 * __pyx_v_comp.strides[1]) ) + __pyx_t_38 * __pyx_v_comp.strides[2]) ) + __pyx_t_39 * __pyx_v_comp.strides[3]) )) = ((__pyx_v_t * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_32 * __pyx_v_comp.strides[0]) ) + __pyx_t_33 * __pyx_v_comp.strides[1]) ) + __pyx_t_34 * __pyx_v_comp.strides[2]) ) + __pyx_t_35 * __pyx_v_comp.strides[3]) )))) + __pyx_v_dii);

          /* "dipy/align/vector_fields.pyx":1045
 *                     comp[k, i, j, 0] = t * comp[k, i, j, 0] + dkk
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii
 *                     comp[k, i, j, 2] = t * comp[k, i, j, 2] + djj             # <<<<<<<<<<<<<<
 *                     nn = (comp[k, i, j, 0] ** 2 + comp[k, i, j, 1] ** 2 +
 *                           comp[k, i, j, 2]**2)
 */
          __pyx_t_40 = __pyx_v_k;
          __pyx_t_41 = __pyx_v_i;
          __pyx_t_42 = __pyx_v_j;
          __pyx_t_43 = 2;
          __pyx_t_44 = __pyx_v_k;
          __pyx_t_45 = __pyx_v_i;
          __pyx_t_46 = __pyx_v_j;
          __pyx_t_47 = 2;
          *((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_44 * __pyx_v_comp.strides[0]) ) + __pyx_t_45 * __pyx_v_comp.strides[1]) ) + __pyx_t_46 * __pyx_v_comp.strides[2]) ) + __pyx_t_47 * __pyx_v_comp.strides[3]) )) = ((__pyx_v_t * (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_40 * __pyx_v_comp.strides[0]) ) + __pyx_t_41 * __pyx_v_comp.strides[1]) ) + __pyx_t_42 * __pyx_v_comp.strides[2]) ) + __pyx_t_43 * __pyx_v_comp.strides[3]) )))) + __pyx_v_djj);

          /* "dipy/align/vector_fields.pyx":1046
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii
 *                     comp[k, i, j, 2] = t * comp[k, i, j, 2] + djj
 *                     nn = (comp[k, i, j, 0] ** 2 + comp[k, i, j, 1] ** 2 +             # <<<<<<<<<<<<<<
 *                           comp[k, i, j, 2]**2)
 *                     meanNorm += nn
 */
          __pyx_t_48 = __pyx_v_k;
          __pyx_t_49 = __pyx_v_i;
          __pyx_t_50 = __pyx_v_j;
          __pyx_t_51 = 0;
          __pyx_t_52 = __pyx_v_k;
          __pyx_t_53 = __pyx_v_i;
          __pyx_t_54 = __pyx_v_j;
          __pyx_t_55 = 1;

          /* "dipy/align/vector_fields.pyx":1047
 *                     comp[k, i, j, 2] = t * comp[k, i, j, 2] + djj
 *                     nn = (comp[k, i, j, 0] ** 2 + comp[k, i, j, 1] ** 2 +
 *                           comp[k, i, j, 2]**2)             # <<<<<<<<<<<<<<
 *                     meanNorm += nn
 *                     stdNorm += nn * nn
 */
          __pyx_t_56 = __pyx_v_k;
          __pyx_t_57 = __pyx_v_i;
          __pyx_t_58 = __pyx_v_j;
          __pyx_t_59 = 2;

          /* "dipy/align/vector_fields.pyx":1046
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii
 *                     comp[k, i, j, 2] = t * comp[k, i, j, 2] + djj
 *                     nn = (comp[k, i, j, 0] ** 2 + comp[k, i, j, 1] ** 2 +             # <<<<<<<<<<<<<<
 *                           comp[k, i, j, 2]**2)
 *                     meanNorm += nn
 */
          __pyx_v_nn = ((pow((*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_48 * __pyx_v_comp.strides[0]) ) + __pyx_t_49 * __pyx_v_comp.strides[1]) ) + __pyx_t_50 * __pyx_v_comp.strides[2]) ) + __pyx_t_51 * __pyx_v_comp.strides[3]) ))), 2.0) + pow((*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_52 * __pyx_v_comp.strides[0]) ) + __pyx_t_53 * __pyx_v_comp.strides[1]) ) + __pyx_t_54 * __pyx_v_comp.strides[2]) ) + __pyx_t_55 * __pyx_v_comp.strides[3]) ))), 2.0)) + pow((*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_56 * __pyx_v_comp.strides[0]) ) + __pyx_t_57 * __pyx_v_comp.strides[1]) ) + __pyx_t_58 * __pyx_v_comp.strides[2]) ) + __pyx_t_59 * __pyx_v_comp.strides[3]) ))), 2.0));

          /* "dipy/align/vector_fields.pyx":1048
 *                     nn = (comp[k, i, j, 0] ** 2 + comp[k, i, j, 1] ** 2 +
 *                           comp[k, i, j, 2]**2)
 *                     meanNorm += nn             # <<<<<<<<<<<<<<
 *                     stdNorm += nn * nn
 *                     cnt += 1
 */
          __pyx_v_meanNorm = (__pyx_v_meanNorm + __pyx_v_nn);

          /* "dipy/align/vector_fields.pyx":1049
 *                           comp[k, i, j, 2]**2)
 *                     meanNorm += nn
 *                     stdNorm += nn * nn             # <<<<<<<<<<<<<<
 *                     cnt += 1
 *                     if(maxNorm < nn):
 */
          __pyx_v_stdNorm = (__pyx_v_stdNorm + (__pyx_v_nn * __pyx_v_nn));

          /* "dipy/align/vector_fields.pyx":1050
 *                     meanNorm += nn
 *                     stdNorm += nn * nn
 *                     cnt += 1             # <<<<<<<<<<<<<<
 *                     if(maxNorm < nn):
 *                         maxNorm = nn
 */
          __pyx_v_cnt = (__pyx_v_cnt + 1);

          /* "dipy/align/vector_fields.pyx":1051
 *                     stdNorm += nn * nn
 *                     cnt += 1
 *                     if(maxNorm < nn):             # <<<<<<<<<<<<<<
 *                         maxNorm = nn
 *                 else:
 */
          __pyx_t_19 = ((__pyx_v_maxNorm < __pyx_v_nn) != 0);
          if (__pyx_t_19) {

            /* "dipy/align/vector_fields.pyx":1052
 *                     cnt += 1
 *                     if(maxNorm < nn):
 *                         maxNorm = nn             # <<<<<<<<<<<<<<
 *                 else:
 *                     comp[k, i, j, 0] = 0
 */
            __pyx_v_maxNorm = __pyx_v_nn;

            /* "dipy/align/vector_fields.pyx":1051
 *                     stdNorm += nn * nn
 *                     cnt += 1
 *                     if(maxNorm < nn):             # <<<<<<<<<<<<<<
 *                         maxNorm = nn
 *                 else:
 */
          }

          /* "dipy/align/vector_fields.pyx":1042
 *                                                           &comp[k, i, j, 0])
 * 
 *                 if inside == 1:             # <<<<<<<<<<<<<<
 *                     comp[k, i, j, 0] = t * comp[k, i, j, 0] + dkk
 *                     comp[k, i, j, 1] = t * comp[k, i, j, 1] + dii
 */
          goto __pyx_L11;
        }

        /* "dipy/align/vector_fields.pyx":1054
 *                         maxNorm = nn
 *                 else:
 *                     comp[k, i, j, 0] = 0             # <<<<<<<<<<<<<<
 *                     comp[k, i, j, 1] = 0
 *                     comp[k, i, j, 2] = 0
 */
        /*else*/ {
          __pyx_t_60 = __pyx_v_k;
          __pyx_t_61 = __pyx_v_i;
          __pyx_t_62 = __pyx_v_j;
          __pyx_t_63 = 0;
          *((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_60 * __pyx_v_comp.strides[0]) ) + __pyx_t_61 * __pyx_v_comp.strides[1]) ) + __pyx_t_62 * __pyx_v_comp.strides[2]) ) + __pyx_t_63 * __pyx_v_comp.strides[3]) )) = 0.0;

          /* "dipy/align/vector_fields.pyx":1055
 *                 else:
 *                     comp[k, i, j, 0] = 0
 *                     comp[k, i, j, 1] = 0             # <<<<<<<<<<<<<<
 *                     comp[k, i, j, 2] = 0
 *     meanNorm /= cnt
 */
          __pyx_t_64 = __pyx_v_k;
          __pyx_t_65 = __pyx_v_i;
          __pyx_t_66 = __pyx_v_j;
          __pyx_t_67 = 1;
          *((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_64 * __pyx_v_comp.strides[0]) ) + __pyx_t_65 * __pyx_v_comp.strides[1]) ) + __pyx_t_66 * __pyx_v_comp.strides[2]) ) + __pyx_t_67 * __pyx_v_comp.strides[3]) )) = 0.0;

          /* "dipy/align/vector_fields.pyx":1056
 *                     comp[k, i, j, 0] = 0
 *                     comp[k, i, j, 1] = 0
 *                     comp[k, i, j, 2] = 0             # <<<<<<<<<<<<<<
 *     meanNorm /= cnt
 *     stats[0] = sqrt(maxNorm)
 */
          __pyx_t_68 = __pyx_v_k;
          __pyx_t_69 = __pyx_v_i;
          __pyx_t_70 = __pyx_v_j;
          __pyx_t_71 = 2;
          *((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_comp.data + __pyx_t_68 * __pyx_v_comp.strides[0]) ) + __pyx_t_69 * __pyx_v_comp.strides[1]) ) + __pyx_t_70 * __pyx_v_comp.strides[2]) ) + __pyx_t_71 * __pyx_v_comp.strides[3]) )) = 0.0;
        }
        __pyx_L11:;
      }
    }
  }

  /* "dipy/align/vector_fields.pyx":1057
 *                     comp[k, i, j, 1] = 0
 *                     comp[k, i, j, 2] = 0
 *     meanNorm /= cnt             # <<<<<<<<<<<<<<
 *     stats[0] = sqrt(maxNorm)
 *     stats[1] = sqrt(meanNorm)
 */
  __pyx_v_meanNorm = (__pyx_v_meanNorm / __pyx_v_cnt);

  /* "dipy/align/vector_fields.pyx":1058
 *                     comp[k, i, j, 2] = 0
 *     meanNorm /= cnt
 *     stats[0] = sqrt(maxNorm)             # <<<<<<<<<<<<<<
 *     stats[1] = sqrt(meanNorm)
 *     stats[2] = sqrt(stdNorm / cnt - meanNorm * meanNorm)
 */
  __pyx_t_72 = 0;
  *((double *) ( /* dim=0 */ (__pyx_v_stats.data + __pyx_t_72 * __pyx_v_stats.strides[0]) )) = sqrt(__pyx_v_maxNorm);

  /* "dipy/align/vector_fields.pyx":1059
 *     meanNorm /= cnt
 *     stats[0] = sqrt(maxNorm)
 *     stats[1] = sqrt(meanNorm)             # <<<<<<<<<<<<<<
 *     stats[2] = sqrt(stdNorm / cnt - meanNorm * meanNorm)
 * 
 */
  __pyx_t_73 = 1;
  *((double *) ( /* dim=0 */ (__pyx_v_stats.data + __pyx_t_73 * __pyx_v_stats.strides[0]) )) = sqrt(__pyx_v_meanNorm);

  /* "dipy/align/vector_fields.pyx":1060
 *     stats[0] = sqrt(maxNorm)
 *     stats[1] = sqrt(meanNorm)
 *     stats[2] = sqrt(stdNorm / cnt - meanNorm * meanNorm)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_74 = 2;
  *((double *) ( /* dim=0 */ (__pyx_v_stats.data + __pyx_t_74 * __pyx_v_stats.strides[0]) )) = sqrt(((__pyx_v_stdNorm / __pyx_v_cnt) - (__pyx_v_meanNorm * __pyx_v_meanNorm)));

  /* "dipy/align/vector_fields.pyx":922
 * 
 * 
 * cdef void _compose_vector_fields_3d(floating[:, :, :, :] d1,             # <<<<<<<<<<<<<<
 *                                     floating[:, :, :, :] d2,
 *                                     double[:, :] premult_index,
 */

  /* function exit code */
}

/* "dipy/align/vector_fields.pyx":1063
 * 
 * 
 * def compose_vector_fields_3d(floating[:, :, :, :] d1, floating[:, :, :, :] d2,             # <<<<<<<<<<<<<<
 *                              double[:, :] premult_index,
 *                              double[:, :] premult_disp,
 */

/* Python wrapper */
static PyObject *__pyx_pw_4dipy_5align_13vector_fields_17compose_vector_fields_3d(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_4dipy_5align_13vector_fields_16compose_vector_fields_3d[] = "Computes the composition of two 3D displacement fields\n\n    Computes the composition of the two 3-D displacements d1 and d2. The\n    evaluation of d2 at non-lattice points is computed using tri-linear\n    interpolation. The actual composition is computed as:\n\n    comp[i] = d1[i] + t * d2[ A * i + B * d1[i] ]\n\n    where t = time_scaling, A = premult_index and B=premult_disp and i denotes\n    the voxel coordinates of a voxel in d1's grid. Using this parameters it is\n    possible to compose vector fields with arbitrary discretization: let R and\n    S be the voxel-to-space transformation associated to d1 and d2,\n    respectively then the composition at a voxel with coordinates i in d1's\n    grid is given by:\n\n    comp[i] = d1[i] + R*i + d2[Sinv*(R*i + d1[i])] - R*i\n\n    (the R*i terms cancel each other) where Sinv = S^{-1}\n    we can then define A = Sinv * R and B = Sinv to compute the composition\n    using this function.\n\n    Parameters\n    ----------\n    d1 : array, shape (S, R, C, 3)\n        first displacement field to be applied. S, R, C are the number of\n        slices, rows and columns of the displacement field, respectively.\n    d2 : array, shape (S', R', C', 3)\n        second displacement field to be applied. R', C' are the number of rows\n        and columns of the displacement field, respectively.\n    premult_index : array, shape (4, 4)\n        the matrix A in the explanation above\n    premult_disp : array, shape (4, 4)\n        the matrix B in the explanation above\n    time_scaling : float\n        this corresponds to the time scaling 't' in the above explanation\n    comp : array, shape (S, R, C, 3), same dimension as d1\n        the buffer to write the composition to. If None, the buffer will be\n        created internally\n\n    Returns\n    -------\n    comp : array, shape (S, R, C, 3), same dimension as d1\n        on output, this array will contain the composition of the two fields\n    stats : array, shape (3,)\n        o""n output, this array will contain three statistics of the vector norms\n        of the composition (maximum, mean, standard_deviation)\n\n    Notes\n    -----\n    If d1[s,r,c] lies outside the domain of d2, then comp[s,r,c] will contain\n    a zero vector.\n    ";
static PyMethodDef __pyx_mdef_4dipy_5align_13vector_fields_17compose_vector_fields_3d = {"compose_vector_fields_3d", (PyCFunction)__pyx_pw_4dipy_5align_13vector_fields_17compose_vector_fields_3d, METH_VARARGS|METH_KEYWORDS, __pyx_doc_4dipy_5align_13vector_fields_16compose_vector_fields_3d};
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static char __pyx_doc_4dipy_5align_13vector_fields_20invert_vector_field_fixed_point_3d[] = "Computes the inverse of a 3D displacement fields\n\n    Computes the inverse of the given 3-D displacement field d using the\n    fixed-point algorithm [1].\n\n    [1] Chen, M., Lu, W., Chen, Q., Ruchala, K. J., & Olivera, G. H. (2008).\n        A simple fixed-point approach to invert a deformation field.\n        Medical Physics, 35(1), 81. doi:10.1118/1.2816107\n\n    Parameters\n    ----------\n    d : array, shape (S, R, C, 3)\n        the 3-D displacement field to be inverted\n    d_world2grid : array, shape (4, 4)\n        the space-to-grid transformation associated to the displacement field\n        d (transforming physical space coordinates to voxel coordinates of the\n        displacement field grid)\n    spacing :array, shape (3,)\n        the spacing between voxels (voxel size along each axis)\n    max_iter : int\n        maximum number of iterations to be performed\n    tol : float\n        maximum tolerated inversion error\n    start : array, shape (S, R, C)\n        an approximation to the inverse displacement field (if no approximation\n        is available, None can be provided and the start displacement field\n        will be zero)\n\n    Returns\n    -------\n    p : array, shape (S, R, C, 3)\n        the inverse displacement field\n\n    Notes\n    -----\n    We assume that the displacement field is an endomorphism so that the shape\n    and voxel-to-space transformation of the inverse field's discretization is\n    the same as those of the input displacement field. The 'inversion error' at\n    iteration t is defined as the mean norm of the displacement vectors of the\n    input displacement field composed with the inverse at iteration t.\n    ";
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 *             else:
 *                 epsilon = 0.5
 *             _compose_vector_fields_3d[floating](p, d, None, d_world2grid,             # <<<<<<<<<<<<<<
 *                                                 1.0, q, substats)
 *             difmag = 0
 */
          __pyx_t_16 = __Pyx_PyObject_to_MemoryviewSlice_dsds_double(Py_None);
          if (unlikely(!__pyx_t_16.memview)) __PYX_ERR(0, 1319, __pyx_L6_error)

          /* "dipy/align/vector_fields.pyx":1320
 *                 epsilon = 0.5
 *             _compose_vector_fields_3d[floating](p, d, None, d_world2grid,
 *                                                 1.0, q, substats)             # <<<<<<<<<<<<<<
 *             difmag = 0
 *             error = 0
 */
          __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__compose_vector_fields_3d(__pyx_v_p, __pyx_v_d, __pyx_t_16, __pyx_v_d_world2grid, 1.0, __pyx_v_q, __pyx_v_substats);
          __PYX_XDEC_MEMVIEW(&__pyx_t_16, 0);
          __pyx_t_16.memview = NULL;
          __pyx_t_16.data = NULL;

          /* "dipy/align/vector_fields.pyx":1321
 *             _compose_vector_fields_3d[floating](p, d, None, d_world2grid,
 *                                                 1.0, q, substats)
 *             difmag = 0             # <<<<<<<<<<<<<<
 *             error = 0
 *             for k in range(ns):
 */
          __pyx_v_difmag = 0.0;

          /* "dipy/align/vector_fields.pyx":1322
 *                                                 1.0, q, substats)
 *             difmag = 0
 *             error = 0             # <<<<<<<<<<<<<<
 *             for k in range(ns):
 *                 for i in range(nr):
 */
          __pyx_v_error = 0.0;

          /* "dipy/align/vector_fields.pyx":1323
 *             difmag = 0
 *             error = 0
 *             for k in range(ns):             # <<<<<<<<<<<<<<
 *                 for i in range(nr):
 *                     for j in range(nc):
 */
          __pyx_t_17 = __pyx_v_ns;
          for (__pyx_t_18 = 0; __pyx_t_18 < __pyx_t_17; __pyx_t_18+=1) {
            __pyx_v_k = __pyx_t_18;

            /* "dipy/align/vector_fields.pyx":1324
 *             error = 0
 *             for k in range(ns):
 *                 for i in range(nr):             # <<<<<<<<<<<<<<
 *                     for j in range(nc):
 *                         mag = sqrt((q[k, i, j, 0]/ss) ** 2 +
 */
            __pyx_t_19 = __pyx_v_nr;
            for (__pyx_t_20 = 0; __pyx_t_20 < __pyx_t_19; __pyx_t_20+=1) {
              __pyx_v_i = __pyx_t_20;

              /* "dipy/align/vector_fields.pyx":1325
 *             for k in range(ns):
 *                 for i in range(nr):
 *                     for j in range(nc):             # <<<<<<<<<<<<<<
 *                         mag = sqrt((q[k, i, j, 0]/ss) ** 2 +
 *                                    (q[k, i, j, 1]/sr) ** 2 +
 */
              __pyx_t_21 = __pyx_v_nc;
              for (__pyx_t_22 = 0; __pyx_t_22 < __pyx_t_21; __pyx_t_22+=1) {
                __pyx_v_j = __pyx_t_22;

                /* "dipy/align/vector_fields.pyx":1326
 *                 for i in range(nr):
 *                     for j in range(nc):
 *                         mag = sqrt((q[k, i, j, 0]/ss) ** 2 +             # <<<<<<<<<<<<<<
 *                                    (q[k, i, j, 1]/sr) ** 2 +
 *                                    (q[k, i, j, 2]/sc) ** 2)
 */
                __pyx_t_23 = __pyx_v_k;
                __pyx_t_24 = __pyx_v_i;
                __pyx_t_25 = __pyx_v_j;
                __pyx_t_26 = 0;

                /* "dipy/align/vector_fields.pyx":1327
 *                     for j in range(nc):
 *                         mag = sqrt((q[k, i, j, 0]/ss) ** 2 +
 *                                    (q[k, i, j, 1]/sr) ** 2 +             # <<<<<<<<<<<<<<
 *                                    (q[k, i, j, 2]/sc) ** 2)
 *                         norms[k, i, j] = mag
 */
                __pyx_t_27 = __pyx_v_k;
                __pyx_t_28 = __pyx_v_i;
                __pyx_t_29 = __pyx_v_j;
                __pyx_t_30 = 1;

                /* "dipy/align/vector_fields.pyx":1328
 *                         mag = sqrt((q[k, i, j, 0]/ss) ** 2 +
 *                                    (q[k, i, j, 1]/sr) ** 2 +
 *                                    (q[k, i, j, 2]/sc) ** 2)             # <<<<<<<<<<<<<<
 *                         norms[k, i, j] = mag
 *                         error += mag
 */
                __pyx_t_31 = __pyx_v_k;
                __pyx_t_32 = __pyx_v_i;
                __pyx_t_33 = __pyx_v_j;
                __pyx_t_34 = 2;

                /* "dipy/align/vector_fields.pyx":1326
 *                 for i in range(nr):
 *                     for j in range(nc):
 *                         mag = sqrt((q[k, i, j, 0]/ss) ** 2 +             # <<<<<<<<<<<<<<
 *                                    (q[k, i, j, 1]/sr) ** 2 +
 *                                    (q[k, i, j, 2]/sc) ** 2)
 */
                __pyx_v_mag = sqrt(((pow(((*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_q.data + __pyx_t_23 * __pyx_v_q.strides[0]) ) + __pyx_t_24 * __pyx_v_q.strides[1]) ) + __pyx_t_25 * __pyx_v_q.strides[2]) ) + __pyx_t_26 * __pyx_v_q.strides[3]) ))) / __pyx_v_ss), 2.0) + pow(((*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_q.data + __pyx_t_27 * __pyx_v_q.strides[0]) ) + __pyx_t_28 * __pyx_v_q.strides[1]) ) + __pyx_t_29 * __pyx_v_q.strides[2]) ) + __pyx_t_30 * __pyx_v_q.strides[3]) ))) / __pyx_v_sr), 2.0)) + pow(((*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_q.data + __pyx_t_31 * __pyx_v_q.strides[0]) ) + __pyx_t_32 * __pyx_v_q.strides[1]) ) + __pyx_t_33 * __pyx_v_q.strides[2]) ) + __pyx_t_34 * __pyx_v_q.strides[3]) ))) / __pyx_v_sc), 2.0)));

                /* "dipy/align/vector_fields.pyx":1329
 *                                    (q[k, i, j, 1]/sr) ** 2 +
 *                                    (q[k, i, j, 2]/sc) ** 2)
 *                         norms[k, i, j] = mag             # <<<<<<<<<<<<<<
 *                         error += mag
 *                         if(difmag < mag):
 */
                __pyx_t_35 = __pyx_v_k;
                __pyx_t_36 = __pyx_v_i;
                __pyx_t_37 = __pyx_v_j;
                *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_norms.data + __pyx_t_35 * __pyx_v_norms.strides[0]) ) + __pyx_t_36 * __pyx_v_norms.strides[1]) ) + __pyx_t_37 * __pyx_v_norms.strides[2]) )) = __pyx_v_mag;

                /* "dipy/align/vector_fields.pyx":1330
 *                                    (q[k, i, j, 2]/sc) ** 2)
 *                         norms[k, i, j] = mag
 *                         error += mag             # <<<<<<<<<<<<<<
 *                         if(difmag < mag):
 *                             difmag = mag
 */
                __pyx_v_error = (__pyx_v_error + __pyx_v_mag);

                /* "dipy/align/vector_fields.pyx":1331
 *                         norms[k, i, j] = mag
 *                         error += mag
 *                         if(difmag < mag):             # <<<<<<<<<<<<<<
 *                             difmag = mag
 *             maxlen = difmag*epsilon
 */
                __pyx_t_15 = ((__pyx_v_difmag < __pyx_v_mag) != 0);
                if (__pyx_t_15) {

                  /* "dipy/align/vector_fields.pyx":1332
 *                         error += mag
 *                         if(difmag < mag):
 *                             difmag = mag             # <<<<<<<<<<<<<<
 *             maxlen = difmag*epsilon
 *             for k in range(ns):
 */
                  __pyx_v_difmag = __pyx_v_mag;

                  /* "dipy/align/vector_fields.pyx":1331
 *                         norms[k, i, j] = mag
 *                         error += mag
 *                         if(difmag < mag):             # <<<<<<<<<<<<<<
 *                             difmag = mag
 *             maxlen = difmag*epsilon
 */
                }
              }
            }
          }

          /* "dipy/align/vector_fields.pyx":1333
 *                         if(difmag < mag):
 *                             difmag = mag
 *             maxlen = difmag*epsilon             # <<<<<<<<<<<<<<
 *             for k in range(ns):
 *                 for i in range(nr):
 */
          __pyx_v_maxlen = (__pyx_v_difmag * __pyx_v_epsilon);

          /* "dipy/align/vector_fields.pyx":1334
 *                             difmag = mag
 *             maxlen = difmag*epsilon
 *             for k in range(ns):             # <<<<<<<<<<<<<<
 *                 for i in range(nr):
 *                     for j in range(nc):
 */
          __pyx_t_17 = __pyx_v_ns;
          for (__pyx_t_18 = 0; __pyx_t_18 < __pyx_t_17; __pyx_t_18+=1) {
            __pyx_v_k = __pyx_t_18;

            /* "dipy/align/vector_fields.pyx":1335
 *             maxlen = difmag*epsilon
 *             for k in range(ns):
 *                 for i in range(nr):             # <<<<<<<<<<<<<<
 *                     for j in range(nc):
 *                         if norms[k, i, j] > maxlen:
 */
            __pyx_t_19 = __pyx_v_nr;
            for (__pyx_t_20 = 0; __pyx_t_20 < __pyx_t_19; __pyx_t_20+=1) {
              __pyx_v_i = __pyx_t_20;

              /* "dipy/align/vector_fields.pyx":1336
 *             for k in range(ns):
 *                 for i in range(nr):
 *                     for j in range(nc):             # <<<<<<<<<<<<<<
 *                         if norms[k, i, j] > maxlen:
 *                             step_factor = epsilon * maxlen / norms[k, i, j]
 */
              __pyx_t_21 = __pyx_v_nc;
              for (__pyx_t_22 = 0; __pyx_t_22 < __pyx_t_21; __pyx_t_22+=1) {
                __pyx_v_j = __pyx_t_22;

                /* "dipy/align/vector_fields.pyx":1337
 *                 for i in range(nr):
 *                     for j in range(nc):
 *                         if norms[k, i, j] > maxlen:             # <<<<<<<<<<<<<<
 *                             step_factor = epsilon * maxlen / norms[k, i, j]
 *                         else:
 */
                __pyx_t_38 = __pyx_v_k;
                __pyx_t_39 = __pyx_v_i;
                __pyx_t_40 = __pyx_v_j;
                __pyx_t_15 = (((*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_norms.data + __pyx_t_38 * __pyx_v_norms.strides[0]) ) + __pyx_t_39 * __pyx_v_norms.strides[1]) ) + __pyx_t_40 * __pyx_v_norms.strides[2]) ))) > __pyx_v_maxlen) != 0);
                if (__pyx_t_15) {

                  /* "dipy/align/vector_fields.pyx":1338
 *                     for j in range(nc):
 *                         if norms[k, i, j] > maxlen:
 *                             step_factor = epsilon * maxlen / norms[k, i, j]             # <<<<<<<<<<<<<<
 *                         else:
 *                             step_factor = epsilon
 */
                  __pyx_t_41 = __pyx_v_k;
                  __pyx_t_42 = __pyx_v_i;
                  __pyx_t_43 = __pyx_v_j;
                  __pyx_v_step_factor = ((__pyx_v_epsilon * __pyx_v_maxlen) / (*((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_norms.data + __pyx_t_41 * __pyx_v_norms.strides[0]) ) + __pyx_t_42 * __pyx_v_norms.strides[1]) ) + __pyx_t_43 * __pyx_v_norms.strides[2]) ))));

                  /* "dipy/align/vector_fields.pyx":1337
 *                 for i in range(nr):
 *                     for j in range(nc):
 *                         if norms[k, i, j] > maxlen:             # <<<<<<<<<<<<<<
 *                             step_factor = epsilon * maxlen / norms[k, i, j]
 *                         else:
 */
                  goto __pyx_L27;
                }

                /* "dipy/align/vector_fields.pyx":1340
 *                             step_factor = epsilon * maxlen / norms[k, i, j]
 *                         else:
 *                             step_factor = epsilon             # <<<<<<<<<<<<<<
 *                         p[k, i, j, 0] = (p[k, i, j, 0] -
 *                                          step_factor * q[k, i, j, 0])
 */
                /*else*/ {
                  __pyx_v_step_factor = __pyx_v_epsilon;
                }
                __pyx_L27:;

                /* "dipy/align/vector_fields.pyx":1341
 *                         else:
 *                             step_factor = epsilon
 *                         p[k, i, j, 0] = (p[k, i, j, 0] -             # <<<<<<<<<<<<<<
 *                                          step_factor * q[k, i, j, 0])
 *                         p[k, i, j, 1] = (p[k, i, j, 1] -
 */
                __pyx_t_44 = __pyx_v_k;
                __pyx_t_45 = __pyx_v_i;
                __pyx_t_46 = __pyx_v_j;
                __pyx_t_47 = 0;

                /* "dipy/align/vector_fields.pyx":1342
 *                             step_factor = epsilon
 *                         p[k, i, j, 0] = (p[k, i, j, 0] -
 *                                          step_factor * q[k, i, j, 0])             # <<<<<<<<<<<<<<
 *                         p[k, i, j, 1] = (p[k, i, j, 1] -
 *                                          step_factor * q[k, i, j, 1])
 */
                __pyx_t_48 = __pyx_v_k;
                __pyx_t_49 = __pyx_v_i;
                __pyx_t_50 = __pyx_v_j;
                __pyx_t_51 = 0;

                /* "dipy/align/vector_fields.pyx":1341
 *                         else:
 *                             step_factor = epsilon
 *                         p[k, i, j, 0] = (p[k, i, j, 0] -             # <<<<<<<<<<<<<<
 *                                          step_factor * q[k, i, j, 0])
 *                         p[k, i, j, 1] = (p[k, i, j, 1] -
 */
                __pyx_t_52 = __pyx_v_k;
                __pyx_t_53 = __pyx_v_i;
                __pyx_t_54 = __pyx_v_j;
                __pyx_t_55 = 0;
                *((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_p.data + __pyx_t_52 * __pyx_v_p.strides[0]) ) + __pyx_t_53 * __pyx_v_p.strides[1]) ) + __pyx_t_54 * __pyx_v_p.strides[2]) ) + __pyx_t_55 * __pyx_v_p.strides[3]) )) = ((*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_p.data + __pyx_t_44 * __pyx_v_p.strides[0]) ) + __pyx_t_45 * __pyx_v_p.strides[1]) ) + __pyx_t_46 * __pyx_v_p.strides[2]) ) + __pyx_t_47 * __pyx_v_p.strides[3]) ))) - (__pyx_v_step_factor * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_q.data + __pyx_t_48 * __pyx_v_q.strides[0]) ) + __pyx_t_49 * __pyx_v_q.strides[1]) ) + __pyx_t_50 * __pyx_v_q.strides[2]) ) + __pyx_t_51 * __pyx_v_q.strides[3]) )))));

                /* "dipy/align/vector_fields.pyx":1343
 *                         p[k, i, j, 0] = (p[k, i, j, 0] -
 *                                          step_factor * q[k, i, j, 0])
 *                         p[k, i, j, 1] = (p[k, i, j, 1] -             # <<<<<<<<<<<<<<
 *                                          step_factor * q[k, i, j, 1])
 *                         p[k, i, j, 2] = (p[k, i, j, 2] -
 */
                __pyx_t_56 = __pyx_v_k;
                __pyx_t_57 = __pyx_v_i;
                __pyx_t_58 = __pyx_v_j;
                __pyx_t_59 = 1;

                /* "dipy/align/vector_fields.pyx":1344
 *                                          step_factor * q[k, i, j, 0])
 *                         p[k, i, j, 1] = (p[k, i, j, 1] -
 *                                          step_factor * q[k, i, j, 1])             # <<<<<<<<<<<<<<
 *                         p[k, i, j, 2] = (p[k, i, j, 2] -
 *                                          step_factor * q[k, i, j, 2])
 */
                __pyx_t_60 = __pyx_v_k;
                __pyx_t_61 = __pyx_v_i;
                __pyx_t_62 = __pyx_v_j;
                __pyx_t_63 = 1;

                /* "dipy/align/vector_fields.pyx":1343
 *                         p[k, i, j, 0] = (p[k, i, j, 0] -
 *                                          step_factor * q[k, i, j, 0])
 *                         p[k, i, j, 1] = (p[k, i, j, 1] -             # <<<<<<<<<<<<<<
 *                                          step_factor * q[k, i, j, 1])
 *                         p[k, i, j, 2] = (p[k, i, j, 2] -
 */
                __pyx_t_64 = __pyx_v_k;
                __pyx_t_65 = __pyx_v_i;
                __pyx_t_66 = __pyx_v_j;
                __pyx_t_67 = 1;
                *((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_p.data + __pyx_t_64 * __pyx_v_p.strides[0]) ) + __pyx_t_65 * __pyx_v_p.strides[1]) ) + __pyx_t_66 * __pyx_v_p.strides[2]) ) + __pyx_t_67 * __pyx_v_p.strides[3]) )) = ((*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_p.data + __pyx_t_56 * __pyx_v_p.strides[0]) ) + __pyx_t_57 * __pyx_v_p.strides[1]) ) + __pyx_t_58 * __pyx_v_p.strides[2]) ) + __pyx_t_59 * __pyx_v_p.strides[3]) ))) - (__pyx_v_step_factor * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_q.data + __pyx_t_60 * __pyx_v_q.strides[0]) ) + __pyx_t_61 * __pyx_v_q.strides[1]) ) + __pyx_t_62 * __pyx_v_q.strides[2]) ) + __pyx_t_63 * __pyx_v_q.strides[3]) )))));

                /* "dipy/align/vector_fields.pyx":1345
 *                         p[k, i, j, 1] = (p[k, i, j, 1] -
 *                                          step_factor * q[k, i, j, 1])
 *                         p[k, i, j, 2] = (p[k, i, j, 2] -             # <<<<<<<<<<<<<<
 *                                          step_factor * q[k, i, j, 2])
 *             error /= (ns * nr * nc)
 */
                __pyx_t_68 = __pyx_v_k;
                __pyx_t_69 = __pyx_v_i;
                __pyx_t_70 = __pyx_v_j;
                __pyx_t_71 = 2;

                /* "dipy/align/vector_fields.pyx":1346
 *                                          step_factor * q[k, i, j, 1])
 *                         p[k, i, j, 2] = (p[k, i, j, 2] -
 *                                          step_factor * q[k, i, j, 2])             # <<<<<<<<<<<<<<
 *             error /= (ns * nr * nc)
 *             iter_count += 1
 */
                __pyx_t_72 = __pyx_v_k;
                __pyx_t_73 = __pyx_v_i;
                __pyx_t_74 = __pyx_v_j;
                __pyx_t_75 = 2;

                /* "dipy/align/vector_fields.pyx":1345
 *                         p[k, i, j, 1] = (p[k, i, j, 1] -
 *                                          step_factor * q[k, i, j, 1])
 *                         p[k, i, j, 2] = (p[k, i, j, 2] -             # <<<<<<<<<<<<<<
 *                                          step_factor * q[k, i, j, 2])
 *             error /= (ns * nr * nc)
 */
                __pyx_t_76 = __pyx_v_k;
                __pyx_t_77 = __pyx_v_i;
                __pyx_t_78 = __pyx_v_j;
                __pyx_t_79 = 2;
                *((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_p.data + __pyx_t_76 * __pyx_v_p.strides[0]) ) + __pyx_t_77 * __pyx_v_p.strides[1]) ) + __pyx_t_78 * __pyx_v_p.strides[2]) ) + __pyx_t_79 * __pyx_v_p.strides[3]) )) = ((*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_p.data + __pyx_t_68 * __pyx_v_p.strides[0]) ) + __pyx_t_69 * __pyx_v_p.strides[1]) ) + __pyx_t_70 * __pyx_v_p.strides[2]) ) + __pyx_t_71 * __pyx_v_p.strides[3]) ))) - (__pyx_v_step_factor * (*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_q.data + __pyx_t_72 * __pyx_v_q.strides[0]) ) + __pyx_t_73 * __pyx_v_q.strides[1]) ) + __pyx_t_74 * __pyx_v_q.strides[2]) ) + __pyx_t_75 * __pyx_v_q.strides[3]) )))));
              }
            }
          }

          /* "dipy/align/vector_fields.pyx":1347
 *                         p[k, i, j, 2] = (p[k, i, j, 2] -
 *                                          step_factor * q[k, i, j, 2])
 *             error /= (ns * nr * nc)             # <<<<<<<<<<<<<<
 *             iter_count += 1
 *         stats[0] = error
 */
          __pyx_v_error = (__pyx_v_error / ((__pyx_v_ns * __pyx_v_nr) * __pyx_v_nc));

          /* "dipy/align/vector_fields.pyx":1348
 *                                          step_factor * q[k, i, j, 2])
 *             error /= (ns * nr * nc)
 *             iter_count += 1             # <<<<<<<<<<<<<<
 *         stats[0] = error
 *         stats[1] = iter_count
 */
          __pyx_v_iter_count = (__pyx_v_iter_count + 1);
        }

        /* "dipy/align/vector_fields.pyx":1349
 *             error /= (ns * nr * nc)
 *             iter_count += 1
 *         stats[0] = error             # <<<<<<<<<<<<<<
 *         stats[1] = iter_count
 *     return np.asarray(p)
 */
        __pyx_t_80 = 0;
        *((double *) ( /* dim=0 */ (__pyx_v_stats.data + __pyx_t_80 * __pyx_v_stats.strides[0]) )) = __pyx_v_error;

        /* "dipy/align/vector_fields.pyx":1350
 *             iter_count += 1
 *         stats[0] = error
 *         stats[1] = iter_count             # <<<<<<<<<<<<<<
 *     return np.asarray(p)
 * 
 */
        __pyx_t_81 = 1;
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static char __pyx_doc_4dipy_5align_13vector_fields_22simplify_warp_function_2d[] = "\n    Simplifies a nonlinear warping function combined with an affine transform\n\n    Modifies the given deformation field by incorporating into it a\n    an affine transformation and voxel-to-space transforms associated to\n    the discretization of its domain and codomain.\n    The resulting transformation may be regarded as operating on the\n    image spaces given by the domain and codomain discretization.\n    More precisely, the resulting transform is of the form:\n\n    (1) T[i] = W * d[U * i] + V * i\n\n    Where U = affine_idx_in, V = affine_idx_out, W = affine_disp.\n\n    Parameters\n    ----------\n    d : array, shape (R', C', 2)\n        the non-linear part of the transformation (displacement field)\n    affine_idx_in : array, shape (3, 3)\n        the matrix U in eq. (1) above\n    affine_idx_out : array, shape (3, 3)\n        the matrix V in eq. (1) above\n    affine_disp : array, shape (3, 3)\n        the matrix W in eq. (1) above\n    out_shape : array, shape (2,)\n        the number of rows and columns of the sampling grid\n\n    Returns\n    -------\n    out : array, shape = out_shape\n        the deformation field `out` associated with `T` in eq. (1) such that:\n        T[i] = i + out[i]\n\n    Notes\n    -----\n    Both the direct and inverse transforms of a DiffeomorphicMap can be written\n    in this form:\n\n    Direct:  Let D be the voxel-to-space transform of the domain's\n             discretization, P be the pre-align matrix, Rinv the space-to-voxel\n             transform of the reference grid (the grid the displacement field\n             is defined on) and Cinv be the space-to-voxel transform of the\n             codomain's discretization. Then, for each i in the domain's grid,\n             the direct transform is given by\n\n             (2) T[i] = Cinv * d[Rinv * P * D * i] + Cinv * P * D * i\n\n             and we identify U = Rinv * P * D, V = Cinv * P * D, W = Cinv\n\n    Inverse: Let C be the voxel-to-space transform of the cod""omain's\n             discretization, Pinv be the inverse of the pre-align matrix, Rinv\n             the space-to-voxel transform of the reference grid (the grid the\n             displacement field is defined on) and Dinv be the space-to-voxel\n             transform of the domain's discretization. Then, for each j in the\n             codomain's grid, the inverse transform is given by\n\n             (3) Tinv[j] = Dinv * Pinv * d[Rinv * C * j] + Dinv * Pinv * C * j\n\n             and we identify U = Rinv * C, V = Dinv * Pinv * C, W = Dinv * Pinv\n    ";
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 *                     else:
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 */
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 *                         di = _apply_affine_3d_x1(             # <<<<<<<<<<<<<<
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 *                         dj = _apply_affine_3d_x2(             # <<<<<<<<<<<<<<
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 */
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 *                         dii = d[k, i, j, 1]
 *                         djj = d[k, i, j, 2]
 */
                __pyx_t_22 = __pyx_v_k;
                __pyx_t_23 = __pyx_v_i;
                __pyx_t_24 = __pyx_v_j;
                __pyx_t_25 = 0;
                __pyx_v_dkk = (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d.data + __pyx_t_22 * __pyx_v_d.strides[0]) ) + __pyx_t_23 * __pyx_v_d.strides[1]) ) + __pyx_t_24 * __pyx_v_d.strides[2]) ) + __pyx_t_25 * __pyx_v_d.strides[3]) )));

                /* "dipy/align/vector_fields.pyx":1565
 *                     if affine_idx_in is None:
 *                         dkk = d[k, i, j, 0]
 *                         dii = d[k, i, j, 1]             # <<<<<<<<<<<<<<
 *                         djj = d[k, i, j, 2]
 *                     else:
 */
                __pyx_t_26 = __pyx_v_k;
                __pyx_t_27 = __pyx_v_i;
                __pyx_t_28 = __pyx_v_j;
                __pyx_t_29 = 1;
                __pyx_v_dii = (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d.data + __pyx_t_26 * __pyx_v_d.strides[0]) ) + __pyx_t_27 * __pyx_v_d.strides[1]) ) + __pyx_t_28 * __pyx_v_d.strides[2]) ) + __pyx_t_29 * __pyx_v_d.strides[3]) )));

                /* "dipy/align/vector_fields.pyx":1566
 *                         dkk = d[k, i, j, 0]
 *                         dii = d[k, i, j, 1]
 *                         djj = d[k, i, j, 2]             # <<<<<<<<<<<<<<
 *                     else:
 *                         dk = _apply_affine_3d_x0(
 */
                __pyx_t_30 = __pyx_v_k;
                __pyx_t_31 = __pyx_v_i;
                __pyx_t_32 = __pyx_v_j;
                __pyx_t_33 = 2;
                __pyx_v_djj = (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d.data + __pyx_t_30 * __pyx_v_d.strides[0]) ) + __pyx_t_31 * __pyx_v_d.strides[1]) ) + __pyx_t_32 * __pyx_v_d.strides[2]) ) + __pyx_t_33 * __pyx_v_d.strides[3]) )));

                /* "dipy/align/vector_fields.pyx":1563
 *             for i in range(nrows):
 *                 for j in range(ncols):
 *                     if affine_idx_in is None:             # <<<<<<<<<<<<<<
 *                         dkk = d[k, i, j, 0]
 *                         dii = d[k, i, j, 1]
 */
                goto __pyx_L15;
              }

              /* "dipy/align/vector_fields.pyx":1568
 *                         djj = d[k, i, j, 2]
 *                     else:
 *                         dk = _apply_affine_3d_x0(             # <<<<<<<<<<<<<<
 *                             k, i, j, 1, affine_idx_in)
 *                         di = _apply_affine_3d_x1(
 */
              /*else*/ {

                /* "dipy/align/vector_fields.pyx":1569
 *                     else:
 *                         dk = _apply_affine_3d_x0(
 *                             k, i, j, 1, affine_idx_in)             # <<<<<<<<<<<<<<
 *                         di = _apply_affine_3d_x1(
 *                             k, i, j, 1, affine_idx_in)
 */
                __pyx_v_dk = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x0(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_affine_idx_in);

                /* "dipy/align/vector_fields.pyx":1570
 *                         dk = _apply_affine_3d_x0(
 *                             k, i, j, 1, affine_idx_in)
 *                         di = _apply_affine_3d_x1(             # <<<<<<<<<<<<<<
 *                             k, i, j, 1, affine_idx_in)
 *                         dj = _apply_affine_3d_x2(
 */
                __pyx_v_di = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_affine_idx_in);

                /* "dipy/align/vector_fields.pyx":1572
 *                         di = _apply_affine_3d_x1(
 *                             k, i, j, 1, affine_idx_in)
 *                         dj = _apply_affine_3d_x2(             # <<<<<<<<<<<<<<
 *                             k, i, j, 1, affine_idx_in)
 *                         inside = _interpolate_vector_3d[floating](d, dk, di,
 */
                __pyx_v_dj = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_affine_idx_in);

                /* "dipy/align/vector_fields.pyx":1575
 *                             k, i, j, 1, affine_idx_in)
 *                         inside = _interpolate_vector_3d[floating](d, dk, di,
 *                                                                   dj, &tmp[0])             # <<<<<<<<<<<<<<
 *                         dkk = tmp[0]
 *                         dii = tmp[1]
 */
                __pyx_t_34 = 0;

                /* "dipy/align/vector_fields.pyx":1574
 *                         dj = _apply_affine_3d_x2(
 *                             k, i, j, 1, affine_idx_in)
 *                         inside = _interpolate_vector_3d[floating](d, dk, di,             # <<<<<<<<<<<<<<
 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]
 */
                __pyx_v_inside = __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_vector_3d(__pyx_v_d, __pyx_v_dk, __pyx_v_di, __pyx_v_dj, (&(*((double *) ( /* dim=0 */ (__pyx_v_tmp.data + __pyx_t_34 * __pyx_v_tmp.strides[0]) )))));

                /* "dipy/align/vector_fields.pyx":1576
 *                         inside = _interpolate_vector_3d[floating](d, dk, di,
 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]             # <<<<<<<<<<<<<<
 *                         dii = tmp[1]
 *                         djj = tmp[2]
 */
                __pyx_t_35 = 0;
                __pyx_v_dkk = (*((double *) ( /* dim=0 */ (__pyx_v_tmp.data + __pyx_t_35 * __pyx_v_tmp.strides[0]) )));

                /* "dipy/align/vector_fields.pyx":1577
 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]
 *                         dii = tmp[1]             # <<<<<<<<<<<<<<
 *                         djj = tmp[2]
 * 
 */
                __pyx_t_36 = 1;
                __pyx_v_dii = (*((double *) ( /* dim=0 */ (__pyx_v_tmp.data + __pyx_t_36 * __pyx_v_tmp.strides[0]) )));

                /* "dipy/align/vector_fields.pyx":1578
 *                         dkk = tmp[0]
 *                         dii = tmp[1]
 *                         djj = tmp[2]             # <<<<<<<<<<<<<<
 * 
 *                     if affine_disp is not None:
 */
                __pyx_t_37 = 2;
                __pyx_v_djj = (*((double *) ( /* dim=0 */ (__pyx_v_tmp.data + __pyx_t_37 * __pyx_v_tmp.strides[0]) )));
              }
              __pyx_L15:;

              /* "dipy/align/vector_fields.pyx":1580
 *                         djj = tmp[2]
 * 
 *                     if affine_disp is not None:             # <<<<<<<<<<<<<<
 *                         dk = _apply_affine_3d_x0(
 *                             dkk, dii, djj, 0, affine_disp)
 */
              __pyx_t_15 = ((((PyObject *) __pyx_v_affine_disp.memview) != Py_None) != 0);
              if (__pyx_t_15) {

                /* "dipy/align/vector_fields.pyx":1581
 * 
 *                     if affine_disp is not None:
 *                         dk = _apply_affine_3d_x0(             # <<<<<<<<<<<<<<
 *                             dkk, dii, djj, 0, affine_disp)
 *                         di = _apply_affine_3d_x1(
 */
                __pyx_v_dk = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x0(__pyx_v_dkk, __pyx_v_dii, __pyx_v_djj, 0.0, __pyx_v_affine_disp);

                /* "dipy/align/vector_fields.pyx":1583
 *                         dk = _apply_affine_3d_x0(
 *                             dkk, dii, djj, 0, affine_disp)
 *                         di = _apply_affine_3d_x1(             # <<<<<<<<<<<<<<
 *                             dkk, dii, djj, 0, affine_disp)
 *                         dj = _apply_affine_3d_x2(
 */
                __pyx_v_di = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1(__pyx_v_dkk, __pyx_v_dii, __pyx_v_djj, 0.0, __pyx_v_affine_disp);

                /* "dipy/align/vector_fields.pyx":1585
 *                         di = _apply_affine_3d_x1(
 *                             dkk, dii, djj, 0, affine_disp)
 *                         dj = _apply_affine_3d_x2(             # <<<<<<<<<<<<<<
 *                             dkk, dii, djj, 0, affine_disp)
 *                     else:
 */
                __pyx_v_dj = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2(__pyx_v_dkk, __pyx_v_dii, __pyx_v_djj, 0.0, __pyx_v_affine_disp);

                /* "dipy/align/vector_fields.pyx":1580
 *                         djj = tmp[2]
 * 
 *                     if affine_disp is not None:             # <<<<<<<<<<<<<<
 *                         dk = _apply_affine_3d_x0(
 *                             dkk, dii, djj, 0, affine_disp)
 */
                goto __pyx_L16;
              }

              /* "dipy/align/vector_fields.pyx":1588
 *                             dkk, dii, djj, 0, affine_disp)
 *                     else:
 *                         dk = dkk             # <<<<<<<<<<<<<<
 *                         di = dii
 *                         dj = djj
 */
              /*else*/ {
                __pyx_v_dk = __pyx_v_dkk;

                /* "dipy/align/vector_fields.pyx":1589
 *                     else:
 *                         dk = dkk
 *                         di = dii             # <<<<<<<<<<<<<<
 *                         dj = djj
 * 
 */
                __pyx_v_di = __pyx_v_dii;

                /* "dipy/align/vector_fields.pyx":1590
 *                         dk = dkk
 *                         di = dii
 *                         dj = djj             # <<<<<<<<<<<<<<
 * 
 *                     if affine_idx_out is not None:
 */
                __pyx_v_dj = __pyx_v_djj;
              }
              __pyx_L16:;

              /* "dipy/align/vector_fields.pyx":1592
 *                         dj = djj
 * 
 *                     if affine_idx_out is not None:             # <<<<<<<<<<<<<<
 *                         out[k, i, j, 0] = dk +\
 *                             _apply_affine_3d_x0(k, i, j, 1, affine_idx_out) - k
 */
              __pyx_t_15 = ((((PyObject *) __pyx_v_affine_idx_out.memview) != Py_None) != 0);
              if (__pyx_t_15) {

                /* "dipy/align/vector_fields.pyx":1593
 * 
 *                     if affine_idx_out is not None:
 *                         out[k, i, j, 0] = dk +\             # <<<<<<<<<<<<<<
 *                             _apply_affine_3d_x0(k, i, j, 1, affine_idx_out) - k
 *                         out[k, i, j, 1] = di +\
 */
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                __pyx_t_39 = __pyx_v_i;
                __pyx_t_40 = __pyx_v_j;
                __pyx_t_41 = 0;
                *((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_38 * __pyx_v_out.strides[0]) ) + __pyx_t_39 * __pyx_v_out.strides[1]) ) + __pyx_t_40 * __pyx_v_out.strides[2]) ) + __pyx_t_41 * __pyx_v_out.strides[3]) )) = ((__pyx_v_dk + __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x0(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_affine_idx_out)) - __pyx_v_k);

                /* "dipy/align/vector_fields.pyx":1595
 *                         out[k, i, j, 0] = dk +\
 *                             _apply_affine_3d_x0(k, i, j, 1, affine_idx_out) - k
 *                         out[k, i, j, 1] = di +\             # <<<<<<<<<<<<<<
 *                             _apply_affine_3d_x1(k, i, j, 1, affine_idx_out) - i
 *                         out[k, i, j, 2] = dj +\
 */
                __pyx_t_42 = __pyx_v_k;
                __pyx_t_43 = __pyx_v_i;
                __pyx_t_44 = __pyx_v_j;
                __pyx_t_45 = 1;
                *((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_42 * __pyx_v_out.strides[0]) ) + __pyx_t_43 * __pyx_v_out.strides[1]) ) + __pyx_t_44 * __pyx_v_out.strides[2]) ) + __pyx_t_45 * __pyx_v_out.strides[3]) )) = ((__pyx_v_di + __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_affine_idx_out)) - __pyx_v_i);

                /* "dipy/align/vector_fields.pyx":1597
 *                         out[k, i, j, 1] = di +\
 *                             _apply_affine_3d_x1(k, i, j, 1, affine_idx_out) - i
 *                         out[k, i, j, 2] = dj +\             # <<<<<<<<<<<<<<
 *                             _apply_affine_3d_x2(k, i, j, 1, affine_idx_out) - j
 *                     else:
 */
                __pyx_t_46 = __pyx_v_k;
                __pyx_t_47 = __pyx_v_i;
                __pyx_t_48 = __pyx_v_j;
                __pyx_t_49 = 2;
                *((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_46 * __pyx_v_out.strides[0]) ) + __pyx_t_47 * __pyx_v_out.strides[1]) ) + __pyx_t_48 * __pyx_v_out.strides[2]) ) + __pyx_t_49 * __pyx_v_out.strides[3]) )) = ((__pyx_v_dj + __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_affine_idx_out)) - __pyx_v_j);

                /* "dipy/align/vector_fields.pyx":1592
 *                         dj = djj
 * 
 *                     if affine_idx_out is not None:             # <<<<<<<<<<<<<<
 *                         out[k, i, j, 0] = dk +\
 *                             _apply_affine_3d_x0(k, i, j, 1, affine_idx_out) - k
 */
                goto __pyx_L17;
              }

              /* "dipy/align/vector_fields.pyx":1600
 *                             _apply_affine_3d_x2(k, i, j, 1, affine_idx_out) - j
 *                     else:
 *                         out[k, i, j, 0] = dk             # <<<<<<<<<<<<<<
 *                         out[k, i, j, 1] = di
 *                         out[k, i, j, 2] = dj
 */
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                __pyx_t_52 = __pyx_v_j;
                __pyx_t_53 = 0;
                *((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_50 * __pyx_v_out.strides[0]) ) + __pyx_t_51 * __pyx_v_out.strides[1]) ) + __pyx_t_52 * __pyx_v_out.strides[2]) ) + __pyx_t_53 * __pyx_v_out.strides[3]) )) = __pyx_v_dk;

                /* "dipy/align/vector_fields.pyx":1601
 *                     else:
 *                         out[k, i, j, 0] = dk
 *                         out[k, i, j, 1] = di             # <<<<<<<<<<<<<<
 *                         out[k, i, j, 2] = dj
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                __pyx_t_55 = __pyx_v_i;
                __pyx_t_56 = __pyx_v_j;
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                /* "dipy/align/vector_fields.pyx":1602
 *                         out[k, i, j, 0] = dk
 *                         out[k, i, j, 1] = di
 *                         out[k, i, j, 2] = dj             # <<<<<<<<<<<<<<
 *     return np.asarray(out)
 * 
 */
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                __pyx_t_59 = __pyx_v_i;
                __pyx_t_60 = __pyx_v_j;
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              __pyx_L17:;
            }
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      /* "dipy/align/vector_fields.pyx":1558
 *         raise ValueError("Invalid displacement multiplication matrix")
 * 
 *     with nogil:             # <<<<<<<<<<<<<<
 * 
 *         for k in range(nslices):
 */
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          #endif
          goto __pyx_L8;
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  /* "dipy/align/vector_fields.pyx":1603
 *                         out[k, i, j, 1] = di
 *                         out[k, i, j, 2] = dj
 *     return np.asarray(out)             # <<<<<<<<<<<<<<
 * 
 * 
 */
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  /* "dipy/align/vector_fields.pyx":1474
 * 
 * 
 * def simplify_warp_function_3d(floating[:, :, :, :] d,             # <<<<<<<<<<<<<<
 *                               double[:, :] affine_idx_in,
 *                               double[:, :] affine_idx_out,
 */

  /* function exit code */
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/* "dipy/align/vector_fields.pyx":1869
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static char __pyx_doc_4dipy_5align_13vector_fields_38warp_3d[] = "Warps a 3D volume using trilinear interpolation\n\n    Deforms the input volume under the given transformation. The warped volume\n    is computed using tri-linear interpolation and is given by:\n\n    (1) warped[i] = volume[ C * d1[A*i] + B*i ]\n\n    where A = affine_idx_in, B = affine_idx_out, C = affine_disp and i denotes\n    the discrete coordinates of a voxel in the sampling grid of\n    shape = out_shape.\n\n    Parameters\n    ----------\n    volume : array, shape (S, R, C)\n        the input volume to be transformed\n    d1 : array, shape (S', R', C', 3)\n        the displacement field driving the transformation\n    affine_idx_in : array, shape (4, 4)\n        the matrix A in eq. (1) above\n    affine_idx_out : array, shape (4, 4)\n        the matrix B in eq. (1) above\n    affine_disp : array, shape (4, 4)\n        the matrix C in eq. (1) above\n    out_shape : array, shape (3,)\n        the number of slices, rows and columns of the sampling grid\n\n    Returns\n    -------\n    warped : array, shape = out_shape\n        the transformed volume\n\n    Notes\n    -----\n    To illustrate the use of this function, consider a displacement field d1\n    with grid-to-space transformation R, a volume with grid-to-space\n    transformation T and let's say we want to sample the warped volume on a\n    grid with grid-to-space transformation S (sampling grid). For each voxel\n    in the sampling grid with discrete coordinates i, the warped volume is\n    given by:\n\n    (2) warped[i] = volume[Tinv * ( d1[Rinv * S * i] + S * i ) ]\n\n    where Tinv = T^{-1} and Rinv = R^{-1}. By identifying A = Rinv * S,\n    B = Tinv * S, C = Tinv we can use this function to efficiently warp the\n    input image.\n    ";
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 *                     if affine_idx_in is None:
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            /* "dipy/align/vector_fields.pyx":1955
 *         for k in range(nslices):
 *             for i in range(nrows):
 *                 for j in range(ncols):             # <<<<<<<<<<<<<<
 *                     if affine_idx_in is None:
 *                         dkk = d1[k, i, j, 0]
 */
            __pyx_t_20 = __pyx_v_ncols;
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              /* "dipy/align/vector_fields.pyx":1956
 *             for i in range(nrows):
 *                 for j in range(ncols):
 *                     if affine_idx_in is None:             # <<<<<<<<<<<<<<
 *                         dkk = d1[k, i, j, 0]
 *                         dii = d1[k, i, j, 1]
 */
              __pyx_t_8 = ((((PyObject *) __pyx_v_affine_idx_in.memview) == Py_None) != 0);
              if (__pyx_t_8) {

                /* "dipy/align/vector_fields.pyx":1957
 *                 for j in range(ncols):
 *                     if affine_idx_in is None:
 *                         dkk = d1[k, i, j, 0]             # <<<<<<<<<<<<<<
 *                         dii = d1[k, i, j, 1]
 *                         djj = d1[k, i, j, 2]
 */
                __pyx_t_22 = __pyx_v_k;
                __pyx_t_23 = __pyx_v_i;
                __pyx_t_24 = __pyx_v_j;
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                /* "dipy/align/vector_fields.pyx":1958
 *                     if affine_idx_in is None:
 *                         dkk = d1[k, i, j, 0]
 *                         dii = d1[k, i, j, 1]             # <<<<<<<<<<<<<<
 *                         djj = d1[k, i, j, 2]
 *                     else:
 */
                __pyx_t_26 = __pyx_v_k;
                __pyx_t_27 = __pyx_v_i;
                __pyx_t_28 = __pyx_v_j;
                __pyx_t_29 = 1;
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                /* "dipy/align/vector_fields.pyx":1959
 *                         dkk = d1[k, i, j, 0]
 *                         dii = d1[k, i, j, 1]
 *                         djj = d1[k, i, j, 2]             # <<<<<<<<<<<<<<
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 */
                __pyx_t_30 = __pyx_v_k;
                __pyx_t_31 = __pyx_v_i;
                __pyx_t_32 = __pyx_v_j;
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                /* "dipy/align/vector_fields.pyx":1956
 *             for i in range(nrows):
 *                 for j in range(ncols):
 *                     if affine_idx_in is None:             # <<<<<<<<<<<<<<
 *                         dkk = d1[k, i, j, 0]
 *                         dii = d1[k, i, j, 1]
 */
                goto __pyx_L16;
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              /* "dipy/align/vector_fields.pyx":1961
 *                         djj = d1[k, i, j, 2]
 *                     else:
 *                         dk = _apply_affine_3d_x0(             # <<<<<<<<<<<<<<
 *                             k, i, j, 1, affine_idx_in)
 *                         di = _apply_affine_3d_x1(
 */
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                /* "dipy/align/vector_fields.pyx":1962
 *                     else:
 *                         dk = _apply_affine_3d_x0(
 *                             k, i, j, 1, affine_idx_in)             # <<<<<<<<<<<<<<
 *                         di = _apply_affine_3d_x1(
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 */
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                /* "dipy/align/vector_fields.pyx":1963
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 *                         di = _apply_affine_3d_x1(             # <<<<<<<<<<<<<<
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 */
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                /* "dipy/align/vector_fields.pyx":1965
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 *                         dj = _apply_affine_3d_x2(             # <<<<<<<<<<<<<<
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                /* "dipy/align/vector_fields.pyx":1968
 *                             k, i, j, 1, affine_idx_in)
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 *                         dkk = tmp[0]
 *                         dii = tmp[1]
 */
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                /* "dipy/align/vector_fields.pyx":1967
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 *                         inside = _interpolate_vector_3d[floating](d1, dk, di,             # <<<<<<<<<<<<<<
 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]
 */
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                /* "dipy/align/vector_fields.pyx":1969
 *                         inside = _interpolate_vector_3d[floating](d1, dk, di,
 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]             # <<<<<<<<<<<<<<
 *                         dii = tmp[1]
 *                         djj = tmp[2]
 */
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                /* "dipy/align/vector_fields.pyx":1970
 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]
 *                         dii = tmp[1]             # <<<<<<<<<<<<<<
 *                         djj = tmp[2]
 * 
 */
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                /* "dipy/align/vector_fields.pyx":1971
 *                         dkk = tmp[0]
 *                         dii = tmp[1]
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 * 
 *                     if affine_disp is not None:
 */
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 * 
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 */
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                /* "dipy/align/vector_fields.pyx":1974
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 *                         di = _apply_affine_3d_x1(
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                /* "dipy/align/vector_fields.pyx":1976
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 *                         di = _apply_affine_3d_x1(             # <<<<<<<<<<<<<<
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                /* "dipy/align/vector_fields.pyx":1978
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 * 
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 */
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 * 
 *                     if affine_idx_out is not None:
 */
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                /* "dipy/align/vector_fields.pyx":1990
 *                         dii = di + _apply_affine_3d_x1(k, i, j, 1,
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 */
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 */
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 *                         di = _apply_affine_3d_x1(             # <<<<<<<<<<<<<<
 *                             k, i, j, 1, affine_idx_in)
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                /* "dipy/align/vector_fields.pyx":2165
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 *                         dj = _apply_affine_3d_x2(             # <<<<<<<<<<<<<<
 *                             k, i, j, 1, affine_idx_in)
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 *                             k, i, j, 1, affine_idx_in)
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 *                         dkk = tmp[0]
 *                         dii = tmp[1]
 */
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                /* "dipy/align/vector_fields.pyx":2167
 *                         dj = _apply_affine_3d_x2(
 *                             k, i, j, 1, affine_idx_in)
 *                         inside = _interpolate_vector_3d[floating](d1, dk, di,             # <<<<<<<<<<<<<<
 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]
 */
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 *                         inside = _interpolate_vector_3d[floating](d1, dk, di,
 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]             # <<<<<<<<<<<<<<
 *                         dii = tmp[1]
 *                         djj = tmp[2]
 */
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                /* "dipy/align/vector_fields.pyx":2170
 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]
 *                         dii = tmp[1]             # <<<<<<<<<<<<<<
 *                         djj = tmp[2]
 * 
 */
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 *                         dkk = tmp[0]
 *                         dii = tmp[1]
 *                         djj = tmp[2]             # <<<<<<<<<<<<<<
 * 
 *                     if affine_disp is not None:
 */
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 *                         djj = tmp[2]
 * 
 *                     if affine_disp is not None:             # <<<<<<<<<<<<<<
 *                         dk = _apply_affine_3d_x0(
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 */
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                /* "dipy/align/vector_fields.pyx":2174
 * 
 *                     if affine_disp is not None:
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 *                             dkk, dii, djj, 0, affine_disp)
 *                         di = _apply_affine_3d_x1(
 */
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 *                         dk = _apply_affine_3d_x0(
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 *                         di = _apply_affine_3d_x1(             # <<<<<<<<<<<<<<
 *                             dkk, dii, djj, 0, affine_disp)
 *                         dj = _apply_affine_3d_x2(
 */
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 *                         di = _apply_affine_3d_x1(
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 *                         dj = _apply_affine_3d_x2(             # <<<<<<<<<<<<<<
 *                             dkk, dii, djj, 0, affine_disp)
 *                     else:
 */
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 *                         djj = tmp[2]
 * 
 *                     if affine_disp is not None:             # <<<<<<<<<<<<<<
 *                         dk = _apply_affine_3d_x0(
 *                             dkk, dii, djj, 0, affine_disp)
 */
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              }

              /* "dipy/align/vector_fields.pyx":2181
 *                             dkk, dii, djj, 0, affine_disp)
 *                     else:
 *                         dk = dkk             # <<<<<<<<<<<<<<
 *                         di = dii
 *                         dj = djj
 */
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 *                         di = dii             # <<<<<<<<<<<<<<
 *                         dj = djj
 * 
 */
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 *                         di = dii
 *                         dj = djj             # <<<<<<<<<<<<<<
 * 
 *                     if affine_idx_out is not None:
 */
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 *                         dj = djj
 * 
 *                     if affine_idx_out is not None:             # <<<<<<<<<<<<<<
 *                         dkk = dk + _apply_affine_3d_x0(k, i, j, 1,
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 */
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                /* "dipy/align/vector_fields.pyx":2186
 * 
 *                     if affine_idx_out is not None:
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 */
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                /* "dipy/align/vector_fields.pyx":2188
 *                         dkk = dk + _apply_affine_3d_x0(k, i, j, 1,
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 *                         dii = di + _apply_affine_3d_x1(k, i, j, 1,             # <<<<<<<<<<<<<<
 *                                                        affine_idx_out)
 *                         djj = dj + _apply_affine_3d_x2(k, i, j, 1,
 */
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                /* "dipy/align/vector_fields.pyx":2190
 *                         dii = di + _apply_affine_3d_x1(k, i, j, 1,
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 *                         djj = dj + _apply_affine_3d_x2(k, i, j, 1,             # <<<<<<<<<<<<<<
 *                                                        affine_idx_out)
 *                     else:
 */
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                /* "dipy/align/vector_fields.pyx":2185
 *                         dj = djj
 * 
 *                     if affine_idx_out is not None:             # <<<<<<<<<<<<<<
 *                         dkk = dk + _apply_affine_3d_x0(k, i, j, 1,
 *                                                        affine_idx_out)
 */
                goto __pyx_L18;
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              /* "dipy/align/vector_fields.pyx":2193
 *                                                        affine_idx_out)
 *                     else:
 *                         dkk = dk + k             # <<<<<<<<<<<<<<
 *                         dii = di + i
 *                         djj = dj + j
 */
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                /* "dipy/align/vector_fields.pyx":2194
 *                     else:
 *                         dkk = dk + k
 *                         dii = di + i             # <<<<<<<<<<<<<<
 *                         djj = dj + j
 * 
 */
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                /* "dipy/align/vector_fields.pyx":2195
 *                         dkk = dk + k
 *                         dii = di + i
 *                         djj = dj + j             # <<<<<<<<<<<<<<
 * 
 *                     inside = _interpolate_scalar_nn_3d[number](volume, dkk, dii, djj,
 */
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              /* "dipy/align/vector_fields.pyx":2198
 * 
 *                     inside = _interpolate_scalar_nn_3d[number](volume, dkk, dii, djj,
 *                                                        &warped[k,i,j])             # <<<<<<<<<<<<<<
 *     return np.asarray(warped)
 * 
 */
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              __pyx_t_39 = __pyx_v_i;
              __pyx_t_40 = __pyx_v_j;

              /* "dipy/align/vector_fields.pyx":2197
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 *         for k in range(nslices):
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 */
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 *                     else:
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 *                             k, i, j, 1, affine_idx_in)
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 */
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 *                             k, i, j, 1, affine_idx_in)             # <<<<<<<<<<<<<<
 *                         di = _apply_affine_3d_x1(
 *                             k, i, j, 1, affine_idx_in)
 */
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                /* "dipy/align/vector_fields.pyx":2163
 *                         dk = _apply_affine_3d_x0(
 *                             k, i, j, 1, affine_idx_in)
 *                         di = _apply_affine_3d_x1(             # <<<<<<<<<<<<<<
 *                             k, i, j, 1, affine_idx_in)
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 */
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                /* "dipy/align/vector_fields.pyx":2165
 *                         di = _apply_affine_3d_x1(
 *                             k, i, j, 1, affine_idx_in)
 *                         dj = _apply_affine_3d_x2(             # <<<<<<<<<<<<<<
 *                             k, i, j, 1, affine_idx_in)
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 */
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                /* "dipy/align/vector_fields.pyx":2168
 *                             k, i, j, 1, affine_idx_in)
 *                         inside = _interpolate_vector_3d[floating](d1, dk, di,
 *                                                                   dj, &tmp[0])             # <<<<<<<<<<<<<<
 *                         dkk = tmp[0]
 *                         dii = tmp[1]
 */
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                /* "dipy/align/vector_fields.pyx":2167
 *                         dj = _apply_affine_3d_x2(
 *                             k, i, j, 1, affine_idx_in)
 *                         inside = _interpolate_vector_3d[floating](d1, dk, di,             # <<<<<<<<<<<<<<
 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]
 */
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                /* "dipy/align/vector_fields.pyx":2169
 *                         inside = _interpolate_vector_3d[floating](d1, dk, di,
 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]             # <<<<<<<<<<<<<<
 *                         dii = tmp[1]
 *                         djj = tmp[2]
 */
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                /* "dipy/align/vector_fields.pyx":2170
 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]
 *                         dii = tmp[1]             # <<<<<<<<<<<<<<
 *                         djj = tmp[2]
 * 
 */
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                /* "dipy/align/vector_fields.pyx":2171
 *                         dkk = tmp[0]
 *                         dii = tmp[1]
 *                         djj = tmp[2]             # <<<<<<<<<<<<<<
 * 
 *                     if affine_disp is not None:
 */
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 *                         djj = tmp[2]
 * 
 *                     if affine_disp is not None:             # <<<<<<<<<<<<<<
 *                         dk = _apply_affine_3d_x0(
 *                             dkk, dii, djj, 0, affine_disp)
 */
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                /* "dipy/align/vector_fields.pyx":2174
 * 
 *                     if affine_disp is not None:
 *                         dk = _apply_affine_3d_x0(             # <<<<<<<<<<<<<<
 *                             dkk, dii, djj, 0, affine_disp)
 *                         di = _apply_affine_3d_x1(
 */
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                /* "dipy/align/vector_fields.pyx":2176
 *                         dk = _apply_affine_3d_x0(
 *                             dkk, dii, djj, 0, affine_disp)
 *                         di = _apply_affine_3d_x1(             # <<<<<<<<<<<<<<
 *                             dkk, dii, djj, 0, affine_disp)
 *                         dj = _apply_affine_3d_x2(
 */
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                /* "dipy/align/vector_fields.pyx":2178
 *                         di = _apply_affine_3d_x1(
 *                             dkk, dii, djj, 0, affine_disp)
 *                         dj = _apply_affine_3d_x2(             # <<<<<<<<<<<<<<
 *                             dkk, dii, djj, 0, affine_disp)
 *                     else:
 */
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                /* "dipy/align/vector_fields.pyx":2173
 *                         djj = tmp[2]
 * 
 *                     if affine_disp is not None:             # <<<<<<<<<<<<<<
 *                         dk = _apply_affine_3d_x0(
 *                             dkk, dii, djj, 0, affine_disp)
 */
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              }

              /* "dipy/align/vector_fields.pyx":2181
 *                             dkk, dii, djj, 0, affine_disp)
 *                     else:
 *                         dk = dkk             # <<<<<<<<<<<<<<
 *                         di = dii
 *                         dj = djj
 */
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                /* "dipy/align/vector_fields.pyx":2182
 *                     else:
 *                         dk = dkk
 *                         di = dii             # <<<<<<<<<<<<<<
 *                         dj = djj
 * 
 */
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                /* "dipy/align/vector_fields.pyx":2183
 *                         dk = dkk
 *                         di = dii
 *                         dj = djj             # <<<<<<<<<<<<<<
 * 
 *                     if affine_idx_out is not None:
 */
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 *                         dj = djj
 * 
 *                     if affine_idx_out is not None:             # <<<<<<<<<<<<<<
 *                         dkk = dk + _apply_affine_3d_x0(k, i, j, 1,
 *                                                        affine_idx_out)
 */
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              if (__pyx_t_8) {

                /* "dipy/align/vector_fields.pyx":2186
 * 
 *                     if affine_idx_out is not None:
 *                         dkk = dk + _apply_affine_3d_x0(k, i, j, 1,             # <<<<<<<<<<<<<<
 *                                                        affine_idx_out)
 *                         dii = di + _apply_affine_3d_x1(k, i, j, 1,
 */
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                /* "dipy/align/vector_fields.pyx":2188
 *                         dkk = dk + _apply_affine_3d_x0(k, i, j, 1,
 *                                                        affine_idx_out)
 *                         dii = di + _apply_affine_3d_x1(k, i, j, 1,             # <<<<<<<<<<<<<<
 *                                                        affine_idx_out)
 *                         djj = dj + _apply_affine_3d_x2(k, i, j, 1,
 */
                __pyx_v_dii = (__pyx_v_di + __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_affine_idx_out));

                /* "dipy/align/vector_fields.pyx":2190
 *                         dii = di + _apply_affine_3d_x1(k, i, j, 1,
 *                                                        affine_idx_out)
 *                         djj = dj + _apply_affine_3d_x2(k, i, j, 1,             # <<<<<<<<<<<<<<
 *                                                        affine_idx_out)
 *                     else:
 */
                __pyx_v_djj = (__pyx_v_dj + __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_affine_idx_out));

                /* "dipy/align/vector_fields.pyx":2185
 *                         dj = djj
 * 
 *                     if affine_idx_out is not None:             # <<<<<<<<<<<<<<
 *                         dkk = dk + _apply_affine_3d_x0(k, i, j, 1,
 *                                                        affine_idx_out)
 */
                goto __pyx_L18;
              }

              /* "dipy/align/vector_fields.pyx":2193
 *                                                        affine_idx_out)
 *                     else:
 *                         dkk = dk + k             # <<<<<<<<<<<<<<
 *                         dii = di + i
 *                         djj = dj + j
 */
              /*else*/ {
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                /* "dipy/align/vector_fields.pyx":2194
 *                     else:
 *                         dkk = dk + k
 *                         dii = di + i             # <<<<<<<<<<<<<<
 *                         djj = dj + j
 * 
 */
                __pyx_v_dii = (__pyx_v_di + __pyx_v_i);

                /* "dipy/align/vector_fields.pyx":2195
 *                         dkk = dk + k
 *                         dii = di + i
 *                         djj = dj + j             # <<<<<<<<<<<<<<
 * 
 *                     inside = _interpolate_scalar_nn_3d[number](volume, dkk, dii, djj,
 */
                __pyx_v_djj = (__pyx_v_dj + __pyx_v_j);
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              __pyx_L18:;

              /* "dipy/align/vector_fields.pyx":2198
 * 
 *                     inside = _interpolate_scalar_nn_3d[number](volume, dkk, dii, djj,
 *                                                        &warped[k,i,j])             # <<<<<<<<<<<<<<
 *     return np.asarray(warped)
 * 
 */
              __pyx_t_38 = __pyx_v_k;
              __pyx_t_39 = __pyx_v_i;
              __pyx_t_40 = __pyx_v_j;

              /* "dipy/align/vector_fields.pyx":2197
 *                         djj = dj + j
 * 
 *                     inside = _interpolate_scalar_nn_3d[number](volume, dkk, dii, djj,             # <<<<<<<<<<<<<<
 *                                                        &warped[k,i,j])
 *     return np.asarray(warped)
 */
              __pyx_v_inside = __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__pyx_v_volume, __pyx_v_dkk, __pyx_v_dii, __pyx_v_djj, (&(*((int *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_warped.data + __pyx_t_38 * __pyx_v_warped.strides[0]) ) + __pyx_t_39 * __pyx_v_warped.strides[1]) ) + __pyx_t_40 * __pyx_v_warped.strides[2]) )))));
            }
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        }
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 *                             k, i, j, 1, affine_idx_in)
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 */
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 *                         di = _apply_affine_3d_x1(
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 */
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                /* "dipy/align/vector_fields.pyx":2163
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                /* "dipy/align/vector_fields.pyx":2165
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 *                         dj = _apply_affine_3d_x2(             # <<<<<<<<<<<<<<
 *                             k, i, j, 1, affine_idx_in)
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                /* "dipy/align/vector_fields.pyx":2168
 *                             k, i, j, 1, affine_idx_in)
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 *                                                                   dj, &tmp[0])             # <<<<<<<<<<<<<<
 *                         dkk = tmp[0]
 *                         dii = tmp[1]
 */
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                /* "dipy/align/vector_fields.pyx":2167
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 *                             k, i, j, 1, affine_idx_in)
 *                         inside = _interpolate_vector_3d[floating](d1, dk, di,             # <<<<<<<<<<<<<<
 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]
 */
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                /* "dipy/align/vector_fields.pyx":2169
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 *                                                                   dj, &tmp[0])
 *                         dkk = tmp[0]             # <<<<<<<<<<<<<<
 *                         dii = tmp[1]
 *                         djj = tmp[2]
 */
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                /* "dipy/align/vector_fields.pyx":2170
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 *                         dii = tmp[1]             # <<<<<<<<<<<<<<
 *                         djj = tmp[2]
 * 
 */
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                /* "dipy/align/vector_fields.pyx":2171
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 *                         dii = tmp[1]
 *                         djj = tmp[2]             # <<<<<<<<<<<<<<
 * 
 *                     if affine_disp is not None:
 */
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 *                         djj = tmp[2]
 * 
 *                     if affine_disp is not None:             # <<<<<<<<<<<<<<
 *                         dk = _apply_affine_3d_x0(
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 */
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                /* "dipy/align/vector_fields.pyx":2174
 * 
 *                     if affine_disp is not None:
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 *                             dkk, dii, djj, 0, affine_disp)
 *                         di = _apply_affine_3d_x1(
 */
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                /* "dipy/align/vector_fields.pyx":2176
 *                         dk = _apply_affine_3d_x0(
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 *                         di = _apply_affine_3d_x1(             # <<<<<<<<<<<<<<
 *                             dkk, dii, djj, 0, affine_disp)
 *                         dj = _apply_affine_3d_x2(
 */
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 *                         di = _apply_affine_3d_x1(
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 *                         dj = _apply_affine_3d_x2(             # <<<<<<<<<<<<<<
 *                             dkk, dii, djj, 0, affine_disp)
 *                     else:
 */
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                /* "dipy/align/vector_fields.pyx":2173
 *                         djj = tmp[2]
 * 
 *                     if affine_disp is not None:             # <<<<<<<<<<<<<<
 *                         dk = _apply_affine_3d_x0(
 *                             dkk, dii, djj, 0, affine_disp)
 */
                goto __pyx_L17;
              }

              /* "dipy/align/vector_fields.pyx":2181
 *                             dkk, dii, djj, 0, affine_disp)
 *                     else:
 *                         dk = dkk             # <<<<<<<<<<<<<<
 *                         di = dii
 *                         dj = djj
 */
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                /* "dipy/align/vector_fields.pyx":2182
 *                     else:
 *                         dk = dkk
 *                         di = dii             # <<<<<<<<<<<<<<
 *                         dj = djj
 * 
 */
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                /* "dipy/align/vector_fields.pyx":2183
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 *                         di = dii
 *                         dj = djj             # <<<<<<<<<<<<<<
 * 
 *                     if affine_idx_out is not None:
 */
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              /* "dipy/align/vector_fields.pyx":2185
 *                         dj = djj
 * 
 *                     if affine_idx_out is not None:             # <<<<<<<<<<<<<<
 *                         dkk = dk + _apply_affine_3d_x0(k, i, j, 1,
 *                                                        affine_idx_out)
 */
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                /* "dipy/align/vector_fields.pyx":2186
 * 
 *                     if affine_idx_out is not None:
 *                         dkk = dk + _apply_affine_3d_x0(k, i, j, 1,             # <<<<<<<<<<<<<<
 *                                                        affine_idx_out)
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 */
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                /* "dipy/align/vector_fields.pyx":2188
 *                         dkk = dk + _apply_affine_3d_x0(k, i, j, 1,
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 *                         dii = di + _apply_affine_3d_x1(k, i, j, 1,             # <<<<<<<<<<<<<<
 *                                                        affine_idx_out)
 *                         djj = dj + _apply_affine_3d_x2(k, i, j, 1,
 */
                __pyx_v_dii = (__pyx_v_di + __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_affine_idx_out));

                /* "dipy/align/vector_fields.pyx":2190
 *                         dii = di + _apply_affine_3d_x1(k, i, j, 1,
 *                                                        affine_idx_out)
 *                         djj = dj + _apply_affine_3d_x2(k, i, j, 1,             # <<<<<<<<<<<<<<
 *                                                        affine_idx_out)
 *                     else:
 */
                __pyx_v_djj = (__pyx_v_dj + __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_affine_idx_out));

                /* "dipy/align/vector_fields.pyx":2185
 *                         dj = djj
 * 
 *                     if affine_idx_out is not None:             # <<<<<<<<<<<<<<
 *                         dkk = dk + _apply_affine_3d_x0(k, i, j, 1,
 *                                                        affine_idx_out)
 */
                goto __pyx_L18;
              }

              /* "dipy/align/vector_fields.pyx":2193
 *                                                        affine_idx_out)
 *                     else:
 *                         dkk = dk + k             # <<<<<<<<<<<<<<
 *                         dii = di + i
 *                         djj = dj + j
 */
              /*else*/ {
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                /* "dipy/align/vector_fields.pyx":2194
 *                     else:
 *                         dkk = dk + k
 *                         dii = di + i             # <<<<<<<<<<<<<<
 *                         djj = dj + j
 * 
 */
                __pyx_v_dii = (__pyx_v_di + __pyx_v_i);

                /* "dipy/align/vector_fields.pyx":2195
 *                         dkk = dk + k
 *                         dii = di + i
 *                         djj = dj + j             # <<<<<<<<<<<<<<
 * 
 *                     inside = _interpolate_scalar_nn_3d[number](volume, dkk, dii, djj,
 */
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              /* "dipy/align/vector_fields.pyx":2198
 * 
 *                     inside = _interpolate_scalar_nn_3d[number](volume, dkk, dii, djj,
 *                                                        &warped[k,i,j])             # <<<<<<<<<<<<<<
 *     return np.asarray(warped)
 * 
 */
              __pyx_t_38 = __pyx_v_k;
              __pyx_t_39 = __pyx_v_i;
              __pyx_t_40 = __pyx_v_j;

              /* "dipy/align/vector_fields.pyx":2197
 *                         djj = dj + j
 * 
 *                     inside = _interpolate_scalar_nn_3d[number](volume, dkk, dii, djj,             # <<<<<<<<<<<<<<
 *                                                        &warped[k,i,j])
 *     return np.asarray(warped)
 */
              __pyx_v_inside = __pyx_fuse_2__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_nn_3d(__pyx_v_volume, __pyx_v_dkk, __pyx_v_dii, __pyx_v_djj, (&(*((long *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_warped.data + __pyx_t_38 * __pyx_v_warped.strides[0]) ) + __pyx_t_39 * __pyx_v_warped.strides[1]) ) + __pyx_t_40 * __pyx_v_warped.strides[2]) )))));
            }
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        }
      }

      /* "dipy/align/vector_fields.pyx":2151
 *     cdef floating[:] tmp = np.zeros(shape=(3,), dtype = np.asarray(d1).dtype)
 * 
 *     with nogil:             # <<<<<<<<<<<<<<
 * 
 *         for k in range(nslices):
 */
      /*finally:*/ {
        /*normal exit:*/{
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          __Pyx_FastGIL_Forget();
          Py_BLOCK_THREADS
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          goto __pyx_L9;
        }
        __pyx_L9:;
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  /* "dipy/align/vector_fields.pyx":2199
 *                     inside = _interpolate_scalar_nn_3d[number](volume, dkk, dii, djj,
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                /* "dipy/align/vector_fields.pyx":2170
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 */
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 *                                                    img_world2grid)
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 *                         # Interpolate img at q
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                /* "dipy/align/vector_fields.pyx":3137
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 *                                                    img_world2grid)
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                  /* "dipy/align/vector_fields.pyx":3140
 *                         if in_flag == 0:
 *                             out[k, i, j, p] = 0
 *                             inside[k, i, j] = 0             # <<<<<<<<<<<<<<
 *                             continue
 *                         tmp = out[k, i, j, p]
 */
                  __pyx_t_52 = __pyx_v_k;
                  __pyx_t_53 = __pyx_v_i;
                  __pyx_t_54 = __pyx_v_j;
                  *((int *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_inside.data + __pyx_t_52 * __pyx_v_inside.strides[0]) ) + __pyx_t_53 * __pyx_v_inside.strides[1]) ) + __pyx_t_54 * __pyx_v_inside.strides[2]) )) = 0;

                  /* "dipy/align/vector_fields.pyx":3141
 *                             out[k, i, j, p] = 0
 *                             inside[k, i, j] = 0
 *                             continue             # <<<<<<<<<<<<<<
 *                         tmp = out[k, i, j, p]
 *                         # Compute coordinates of point dx on img's grid
 */
                  goto __pyx_L12_continue;

                  /* "dipy/align/vector_fields.pyx":3138
 *                         in_flag = _interpolate_scalar_3d[floating](img, q[0],
 *                             q[1], q[2], &out[k, i, j, p])
 *                         if in_flag == 0:             # <<<<<<<<<<<<<<
 *                             out[k, i, j, p] = 0
 *                             inside[k, i, j] = 0
 */
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                /* "dipy/align/vector_fields.pyx":3142
 *                             inside[k, i, j] = 0
 *                             continue
 *                         tmp = out[k, i, j, p]             # <<<<<<<<<<<<<<
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                /* "dipy/align/vector_fields.pyx":3144
 *                         tmp = out[k, i, j, p]
 *                         # Compute coordinates of point dx on img's grid
 *                         dx[p] = x[p] + h[p]             # <<<<<<<<<<<<<<
 *                         q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
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                /* "dipy/align/vector_fields.pyx":3145
 *                         # Compute coordinates of point dx on img's grid
 *                         dx[p] = x[p] + h[p]
 *                         q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
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                __pyx_t_62 = 0;
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 *                         dx[p] = x[p] + h[p]
 *                         q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)             # <<<<<<<<<<<<<<
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                __pyx_t_65 = 0;
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                /* "dipy/align/vector_fields.pyx":3147
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                __pyx_t_67 = 1;
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                /* "dipy/align/vector_fields.pyx":3148
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 *                         q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)             # <<<<<<<<<<<<<<
 *                         q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)
 */
                __pyx_t_69 = 1;
                *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_69 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_66 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_67 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_68 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

                /* "dipy/align/vector_fields.pyx":3149
 *                         q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)
 *                         q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                                    img_world2grid)
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 */
                __pyx_t_70 = 0;
                __pyx_t_71 = 1;
                __pyx_t_72 = 2;

                /* "dipy/align/vector_fields.pyx":3150
 *                                                    img_world2grid)
 *                         q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)             # <<<<<<<<<<<<<<
 *                         # Interpolate img at q
 *                         in_flag = _interpolate_scalar_3d[floating](img, q[0],
 */
                __pyx_t_73 = 2;
                *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_73 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_70 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_71 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_72 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

                /* "dipy/align/vector_fields.pyx":3152
 *                                                    img_world2grid)
 *                         # Interpolate img at q
 *                         in_flag = _interpolate_scalar_3d[floating](img, q[0],             # <<<<<<<<<<<<<<
 *                             q[1], q[2], &out[k, i, j, p])
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 */
                __pyx_t_74 = 0;

                /* "dipy/align/vector_fields.pyx":3153
 *                         # Interpolate img at q
 *                         in_flag = _interpolate_scalar_3d[floating](img, q[0],
 *                             q[1], q[2], &out[k, i, j, p])             # <<<<<<<<<<<<<<
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                __pyx_t_75 = 1;
                __pyx_t_76 = 2;
                __pyx_t_77 = __pyx_v_k;
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                __pyx_t_79 = __pyx_v_j;
                __pyx_t_80 = __pyx_v_p;

                /* "dipy/align/vector_fields.pyx":3152
 *                                                    img_world2grid)
 *                         # Interpolate img at q
 *                         in_flag = _interpolate_scalar_3d[floating](img, q[0],             # <<<<<<<<<<<<<<
 *                             q[1], q[2], &out[k, i, j, p])
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                __pyx_v_in_flag = __pyx_fuse_0__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_3d(__pyx_v_img, (*((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_74 * __pyx_v_q.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_75 * __pyx_v_q.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_76 * __pyx_v_q.strides[0]) ))), (&(*((float *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_77 * __pyx_v_out.strides[0]) ) + __pyx_t_78 * __pyx_v_out.strides[1]) ) + __pyx_t_79 * __pyx_v_out.strides[2]) ) + __pyx_t_80 * __pyx_v_out.strides[3]) )))));

                /* "dipy/align/vector_fields.pyx":3154
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                  /* "dipy/align/vector_fields.pyx":3156
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                  /* "dipy/align/vector_fields.pyx":3157
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 *                             inside[k, i, j] = 0
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                /* "dipy/align/vector_fields.pyx":3158
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  /* "dipy/align/vector_fields.pyx":3066
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 * 
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 *         h[2] = 0.5 * img_spacing[2]
 *         for k in range(nslices):
 */
        __pyx_t_8 = 1;
        __pyx_t_9 = 1;
        *((double *) ( /* dim=0 */ (__pyx_v_h.data + __pyx_t_9 * __pyx_v_h.strides[0]) )) = (0.5 * (*((double *) ( /* dim=0 */ (__pyx_v_img_spacing.data + __pyx_t_8 * __pyx_v_img_spacing.strides[0]) ))));

        /* "dipy/align/vector_fields.pyx":3116
 *         h[0] = 0.5 * img_spacing[0]
 *         h[1] = 0.5 * img_spacing[1]
 *         h[2] = 0.5 * img_spacing[2]             # <<<<<<<<<<<<<<
 *         for k in range(nslices):
 *             for i in range(nrows):
 */
        __pyx_t_10 = 2;
        __pyx_t_11 = 2;
        *((double *) ( /* dim=0 */ (__pyx_v_h.data + __pyx_t_11 * __pyx_v_h.strides[0]) )) = (0.5 * (*((double *) ( /* dim=0 */ (__pyx_v_img_spacing.data + __pyx_t_10 * __pyx_v_img_spacing.strides[0]) ))));

        /* "dipy/align/vector_fields.pyx":3117
 *         h[1] = 0.5 * img_spacing[1]
 *         h[2] = 0.5 * img_spacing[2]
 *         for k in range(nslices):             # <<<<<<<<<<<<<<
 *             for i in range(nrows):
 *                 for j in range(ncols):
 */
        __pyx_t_12 = __pyx_v_nslices;
        for (__pyx_t_13 = 0; __pyx_t_13 < __pyx_t_12; __pyx_t_13+=1) {
          __pyx_v_k = __pyx_t_13;

          /* "dipy/align/vector_fields.pyx":3118
 *         h[2] = 0.5 * img_spacing[2]
 *         for k in range(nslices):
 *             for i in range(nrows):             # <<<<<<<<<<<<<<
 *                 for j in range(ncols):
 *                     inside[k, i, j] = 1
 */
          __pyx_t_14 = __pyx_v_nrows;
          for (__pyx_t_15 = 0; __pyx_t_15 < __pyx_t_14; __pyx_t_15+=1) {
            __pyx_v_i = __pyx_t_15;

            /* "dipy/align/vector_fields.pyx":3119
 *         for k in range(nslices):
 *             for i in range(nrows):
 *                 for j in range(ncols):             # <<<<<<<<<<<<<<
 *                     inside[k, i, j] = 1
 *                     # Compute coordinates of index (k, i, j) in physical space
 */
            __pyx_t_16 = __pyx_v_ncols;
            for (__pyx_t_17 = 0; __pyx_t_17 < __pyx_t_16; __pyx_t_17+=1) {
              __pyx_v_j = __pyx_t_17;

              /* "dipy/align/vector_fields.pyx":3120
 *             for i in range(nrows):
 *                 for j in range(ncols):
 *                     inside[k, i, j] = 1             # <<<<<<<<<<<<<<
 *                     # Compute coordinates of index (k, i, j) in physical space
 *                     x[0] = _apply_affine_3d_x0(k, i, j, 1, out_grid2world)
 */
              __pyx_t_18 = __pyx_v_k;
              __pyx_t_19 = __pyx_v_i;
              __pyx_t_20 = __pyx_v_j;
              *((int *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_inside.data + __pyx_t_18 * __pyx_v_inside.strides[0]) ) + __pyx_t_19 * __pyx_v_inside.strides[1]) ) + __pyx_t_20 * __pyx_v_inside.strides[2]) )) = 1;

              /* "dipy/align/vector_fields.pyx":3122
 *                     inside[k, i, j] = 1
 *                     # Compute coordinates of index (k, i, j) in physical space
 *                     x[0] = _apply_affine_3d_x0(k, i, j, 1, out_grid2world)             # <<<<<<<<<<<<<<
 *                     x[1] = _apply_affine_3d_x1(k, i, j, 1, out_grid2world)
 *                     x[2] = _apply_affine_3d_x2(k, i, j, 1, out_grid2world)
 */
              __pyx_t_21 = 0;
              *((double *) ( /* dim=0 */ (__pyx_v_x.data + __pyx_t_21 * __pyx_v_x.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x0(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_out_grid2world);

              /* "dipy/align/vector_fields.pyx":3123
 *                     # Compute coordinates of index (k, i, j) in physical space
 *                     x[0] = _apply_affine_3d_x0(k, i, j, 1, out_grid2world)
 *                     x[1] = _apply_affine_3d_x1(k, i, j, 1, out_grid2world)             # <<<<<<<<<<<<<<
 *                     x[2] = _apply_affine_3d_x2(k, i, j, 1, out_grid2world)
 *                     dx[:] = x[:]
 */
              __pyx_t_22 = 1;
              *((double *) ( /* dim=0 */ (__pyx_v_x.data + __pyx_t_22 * __pyx_v_x.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_out_grid2world);

              /* "dipy/align/vector_fields.pyx":3124
 *                     x[0] = _apply_affine_3d_x0(k, i, j, 1, out_grid2world)
 *                     x[1] = _apply_affine_3d_x1(k, i, j, 1, out_grid2world)
 *                     x[2] = _apply_affine_3d_x2(k, i, j, 1, out_grid2world)             # <<<<<<<<<<<<<<
 *                     dx[:] = x[:]
 *                     for p in range(3):
 */
              __pyx_t_23 = 2;
              *((double *) ( /* dim=0 */ (__pyx_v_x.data + __pyx_t_23 * __pyx_v_x.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2(__pyx_v_k, __pyx_v_i, __pyx_v_j, 1.0, __pyx_v_out_grid2world);

              /* "dipy/align/vector_fields.pyx":3125
 *                     x[1] = _apply_affine_3d_x1(k, i, j, 1, out_grid2world)
 *                     x[2] = _apply_affine_3d_x2(k, i, j, 1, out_grid2world)
 *                     dx[:] = x[:]             # <<<<<<<<<<<<<<
 *                     for p in range(3):
 *                         # Compute coordinates of point dx on img's grid
 */
              if (unlikely(__pyx_memoryview_copy_contents(__pyx_v_x, __pyx_v_dx, 1, 1, 0) < 0)) __PYX_ERR(0, 3125, __pyx_L4_error)

              /* "dipy/align/vector_fields.pyx":3126
 *                     x[2] = _apply_affine_3d_x2(k, i, j, 1, out_grid2world)
 *                     dx[:] = x[:]
 *                     for p in range(3):             # <<<<<<<<<<<<<<
 *                         # Compute coordinates of point dx on img's grid
 *                         dx[p] = x[p] - h[p]
 */
              for (__pyx_t_24 = 0; __pyx_t_24 < 3; __pyx_t_24+=1) {
                __pyx_v_p = __pyx_t_24;

                /* "dipy/align/vector_fields.pyx":3128
 *                     for p in range(3):
 *                         # Compute coordinates of point dx on img's grid
 *                         dx[p] = x[p] - h[p]             # <<<<<<<<<<<<<<
 *                         q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)
 */
                __pyx_t_25 = __pyx_v_p;
                __pyx_t_26 = __pyx_v_p;
                __pyx_t_27 = __pyx_v_p;
                *((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_27 * __pyx_v_dx.strides[0]) )) = ((*((double *) ( /* dim=0 */ (__pyx_v_x.data + __pyx_t_25 * __pyx_v_x.strides[0]) ))) - (*((double *) ( /* dim=0 */ (__pyx_v_h.data + __pyx_t_26 * __pyx_v_h.strides[0]) ))));

                /* "dipy/align/vector_fields.pyx":3129
 *                         # Compute coordinates of point dx on img's grid
 *                         dx[p] = x[p] - h[p]
 *                         q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                                    img_world2grid)
 *                         q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 */
                __pyx_t_28 = 0;
                __pyx_t_29 = 1;
                __pyx_t_30 = 2;

                /* "dipy/align/vector_fields.pyx":3130
 *                         dx[p] = x[p] - h[p]
 *                         q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)             # <<<<<<<<<<<<<<
 *                         q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)
 */
                __pyx_t_31 = 0;
                *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_31 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x0((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_28 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_29 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_30 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

                /* "dipy/align/vector_fields.pyx":3131
 *                         q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)
 *                         q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                                    img_world2grid)
 *                         q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 */
                __pyx_t_32 = 0;
                __pyx_t_33 = 1;
                __pyx_t_34 = 2;

                /* "dipy/align/vector_fields.pyx":3132
 *                                                    img_world2grid)
 *                         q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)             # <<<<<<<<<<<<<<
 *                         q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)
 */
                __pyx_t_35 = 1;
                *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_35 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_32 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_33 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_34 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

                /* "dipy/align/vector_fields.pyx":3133
 *                         q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)
 *                         q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                                    img_world2grid)
 *                         # Interpolate img at q
 */
                __pyx_t_36 = 0;
                __pyx_t_37 = 1;
                __pyx_t_38 = 2;

                /* "dipy/align/vector_fields.pyx":3134
 *                                                    img_world2grid)
 *                         q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)             # <<<<<<<<<<<<<<
 *                         # Interpolate img at q
 *                         in_flag = _interpolate_scalar_3d[floating](img, q[0],
 */
                __pyx_t_39 = 2;
                *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_39 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_36 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_37 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_38 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

                /* "dipy/align/vector_fields.pyx":3136
 *                                                    img_world2grid)
 *                         # Interpolate img at q
 *                         in_flag = _interpolate_scalar_3d[floating](img, q[0],             # <<<<<<<<<<<<<<
 *                             q[1], q[2], &out[k, i, j, p])
 *                         if in_flag == 0:
 */
                __pyx_t_40 = 0;

                /* "dipy/align/vector_fields.pyx":3137
 *                         # Interpolate img at q
 *                         in_flag = _interpolate_scalar_3d[floating](img, q[0],
 *                             q[1], q[2], &out[k, i, j, p])             # <<<<<<<<<<<<<<
 *                         if in_flag == 0:
 *                             out[k, i, j, p] = 0
 */
                __pyx_t_41 = 1;
                __pyx_t_42 = 2;
                __pyx_t_43 = __pyx_v_k;
                __pyx_t_44 = __pyx_v_i;
                __pyx_t_45 = __pyx_v_j;
                __pyx_t_46 = __pyx_v_p;

                /* "dipy/align/vector_fields.pyx":3136
 *                                                    img_world2grid)
 *                         # Interpolate img at q
 *                         in_flag = _interpolate_scalar_3d[floating](img, q[0],             # <<<<<<<<<<<<<<
 *                             q[1], q[2], &out[k, i, j, p])
 *                         if in_flag == 0:
 */
                __pyx_v_in_flag = __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_3d(__pyx_v_img, (*((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_40 * __pyx_v_q.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_41 * __pyx_v_q.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_42 * __pyx_v_q.strides[0]) ))), (&(*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_43 * __pyx_v_out.strides[0]) ) + __pyx_t_44 * __pyx_v_out.strides[1]) ) + __pyx_t_45 * __pyx_v_out.strides[2]) ) + __pyx_t_46 * __pyx_v_out.strides[3]) )))));

                /* "dipy/align/vector_fields.pyx":3138
 *                         in_flag = _interpolate_scalar_3d[floating](img, q[0],
 *                             q[1], q[2], &out[k, i, j, p])
 *                         if in_flag == 0:             # <<<<<<<<<<<<<<
 *                             out[k, i, j, p] = 0
 *                             inside[k, i, j] = 0
 */
                __pyx_t_47 = ((__pyx_v_in_flag == 0) != 0);
                if (__pyx_t_47) {

                  /* "dipy/align/vector_fields.pyx":3139
 *                             q[1], q[2], &out[k, i, j, p])
 *                         if in_flag == 0:
 *                             out[k, i, j, p] = 0             # <<<<<<<<<<<<<<
 *                             inside[k, i, j] = 0
 *                             continue
 */
                  __pyx_t_48 = __pyx_v_k;
                  __pyx_t_49 = __pyx_v_i;
                  __pyx_t_50 = __pyx_v_j;
                  __pyx_t_51 = __pyx_v_p;
                  *((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_48 * __pyx_v_out.strides[0]) ) + __pyx_t_49 * __pyx_v_out.strides[1]) ) + __pyx_t_50 * __pyx_v_out.strides[2]) ) + __pyx_t_51 * __pyx_v_out.strides[3]) )) = 0.0;

                  /* "dipy/align/vector_fields.pyx":3140
 *                         if in_flag == 0:
 *                             out[k, i, j, p] = 0
 *                             inside[k, i, j] = 0             # <<<<<<<<<<<<<<
 *                             continue
 *                         tmp = out[k, i, j, p]
 */
                  __pyx_t_52 = __pyx_v_k;
                  __pyx_t_53 = __pyx_v_i;
                  __pyx_t_54 = __pyx_v_j;
                  *((int *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_inside.data + __pyx_t_52 * __pyx_v_inside.strides[0]) ) + __pyx_t_53 * __pyx_v_inside.strides[1]) ) + __pyx_t_54 * __pyx_v_inside.strides[2]) )) = 0;

                  /* "dipy/align/vector_fields.pyx":3141
 *                             out[k, i, j, p] = 0
 *                             inside[k, i, j] = 0
 *                             continue             # <<<<<<<<<<<<<<
 *                         tmp = out[k, i, j, p]
 *                         # Compute coordinates of point dx on img's grid
 */
                  goto __pyx_L12_continue;

                  /* "dipy/align/vector_fields.pyx":3138
 *                         in_flag = _interpolate_scalar_3d[floating](img, q[0],
 *                             q[1], q[2], &out[k, i, j, p])
 *                         if in_flag == 0:             # <<<<<<<<<<<<<<
 *                             out[k, i, j, p] = 0
 *                             inside[k, i, j] = 0
 */
                }

                /* "dipy/align/vector_fields.pyx":3142
 *                             inside[k, i, j] = 0
 *                             continue
 *                         tmp = out[k, i, j, p]             # <<<<<<<<<<<<<<
 *                         # Compute coordinates of point dx on img's grid
 *                         dx[p] = x[p] + h[p]
 */
                __pyx_t_55 = __pyx_v_k;
                __pyx_t_56 = __pyx_v_i;
                __pyx_t_57 = __pyx_v_j;
                __pyx_t_58 = __pyx_v_p;
                __pyx_v_tmp = (*((double *) ( /* dim=3 */ (( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_55 * __pyx_v_out.strides[0]) ) + __pyx_t_56 * __pyx_v_out.strides[1]) ) + __pyx_t_57 * __pyx_v_out.strides[2]) ) + __pyx_t_58 * __pyx_v_out.strides[3]) )));

                /* "dipy/align/vector_fields.pyx":3144
 *                         tmp = out[k, i, j, p]
 *                         # Compute coordinates of point dx on img's grid
 *                         dx[p] = x[p] + h[p]             # <<<<<<<<<<<<<<
 *                         q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)
 */
                __pyx_t_59 = __pyx_v_p;
                __pyx_t_60 = __pyx_v_p;
                __pyx_t_61 = __pyx_v_p;
                *((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_61 * __pyx_v_dx.strides[0]) )) = ((*((double *) ( /* dim=0 */ (__pyx_v_x.data + __pyx_t_59 * __pyx_v_x.strides[0]) ))) + (*((double *) ( /* dim=0 */ (__pyx_v_h.data + __pyx_t_60 * __pyx_v_h.strides[0]) ))));

                /* "dipy/align/vector_fields.pyx":3145
 *                         # Compute coordinates of point dx on img's grid
 *                         dx[p] = x[p] + h[p]
 *                         q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                                    img_world2grid)
 *                         q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 */
                __pyx_t_62 = 0;
                __pyx_t_63 = 1;
                __pyx_t_64 = 2;

                /* "dipy/align/vector_fields.pyx":3146
 *                         dx[p] = x[p] + h[p]
 *                         q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)             # <<<<<<<<<<<<<<
 *                         q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)
 */
                __pyx_t_65 = 0;
                *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_65 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x0((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_62 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_63 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_64 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

                /* "dipy/align/vector_fields.pyx":3147
 *                         q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)
 *                         q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                                    img_world2grid)
 *                         q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 */
                __pyx_t_66 = 0;
                __pyx_t_67 = 1;
                __pyx_t_68 = 2;

                /* "dipy/align/vector_fields.pyx":3148
 *                                                    img_world2grid)
 *                         q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)             # <<<<<<<<<<<<<<
 *                         q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)
 */
                __pyx_t_69 = 1;
                *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_69 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_66 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_67 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_68 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

                /* "dipy/align/vector_fields.pyx":3149
 *                         q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                                    img_world2grid)
 *                         q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                                    img_world2grid)
 *                         # Interpolate img at q
 */
                __pyx_t_70 = 0;
                __pyx_t_71 = 1;
                __pyx_t_72 = 2;

                /* "dipy/align/vector_fields.pyx":3150
 *                                                    img_world2grid)
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 *                 q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                            img_world2grid)
 *                 # Interpolate img at q
 */
            __pyx_t_37 = 0;
            __pyx_t_38 = 1;
            __pyx_t_39 = 2;

            /* "dipy/align/vector_fields.pyx":3219
 *                                            img_world2grid)
 *                 q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)             # <<<<<<<<<<<<<<
 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1],
 */
            __pyx_t_40 = 2;
            *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_40 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_37 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_38 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_39 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

            /* "dipy/align/vector_fields.pyx":3221
 *                                            img_world2grid)
 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1],             # <<<<<<<<<<<<<<
 *                     q[2], &out[i, p])
 *                 if in_flag == 0:
 */
            __pyx_t_41 = 0;
            __pyx_t_42 = 1;

            /* "dipy/align/vector_fields.pyx":3222
 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1],
 *                     q[2], &out[i, p])             # <<<<<<<<<<<<<<
 *                 if in_flag == 0:
 *                     out[i, p] = 0
 */
            __pyx_t_43 = 2;
            __pyx_t_44 = __pyx_v_i;
            __pyx_t_45 = __pyx_v_p;

            /* "dipy/align/vector_fields.pyx":3221
 *                                            img_world2grid)
 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1],             # <<<<<<<<<<<<<<
 *                     q[2], &out[i, p])
 *                 if in_flag == 0:
 */
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            /* "dipy/align/vector_fields.pyx":3223
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1],
 *                     q[2], &out[i, p])
 *                 if in_flag == 0:             # <<<<<<<<<<<<<<
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 *                     inside[i] = 0
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              /* "dipy/align/vector_fields.pyx":3224
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 *                     inside[i] = 0
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              /* "dipy/align/vector_fields.pyx":3225
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 *                     inside[i] = 0             # <<<<<<<<<<<<<<
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 */
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              /* "dipy/align/vector_fields.pyx":3226
 *                     out[i, p] = 0
 *                     inside[i] = 0
 *                     continue             # <<<<<<<<<<<<<<
 *                 tmp = out[i, p]
 *                 # Compute coordinates of point dx on img's grid
 */
              goto __pyx_L8_continue;

              /* "dipy/align/vector_fields.pyx":3223
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1],
 *                     q[2], &out[i, p])
 *                 if in_flag == 0:             # <<<<<<<<<<<<<<
 *                     out[i, p] = 0
 *                     inside[i] = 0
 */
            }

            /* "dipy/align/vector_fields.pyx":3227
 *                     inside[i] = 0
 *                     continue
 *                 tmp = out[i, p]             # <<<<<<<<<<<<<<
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 *                 dx[p] = sample_points[i, p] + h[p]
 */
            __pyx_t_50 = __pyx_v_i;
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            /* "dipy/align/vector_fields.pyx":3229
 *                 tmp = out[i, p]
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 *                 q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
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            __pyx_t_52 = __pyx_v_i;
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            __pyx_t_54 = __pyx_v_p;
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            __pyx_t_56 = 0;
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 *                                            img_world2grid)             # <<<<<<<<<<<<<<
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
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 */
            __pyx_t_59 = 0;
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            /* "dipy/align/vector_fields.pyx":3232
 *                 q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                            img_world2grid)
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 */
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            /* "dipy/align/vector_fields.pyx":3233
 *                                            img_world2grid)
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)             # <<<<<<<<<<<<<<
 *                 q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)
 */
            __pyx_t_63 = 1;
            *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_63 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_60 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_61 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_62 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

            /* "dipy/align/vector_fields.pyx":3234
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)
 *                 q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                            img_world2grid)
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            /* "dipy/align/vector_fields.pyx":3235
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 *                 q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)             # <<<<<<<<<<<<<<
 *                 # Interpolate img at q
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 */
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            /* "dipy/align/vector_fields.pyx":3237
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 *                 # Interpolate img at q
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 */
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 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1], q[2],             # <<<<<<<<<<<<<<
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 */
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              /* "dipy/align/vector_fields.pyx":3241
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              /* "dipy/align/vector_fields.pyx":3242
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 *                     inside[i] = 0
 *                     continue             # <<<<<<<<<<<<<<
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 *                     inside[i] = 0
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 * 
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 * 
 * def _sparse_gradient_3d(floating[:, :, :] img,             # <<<<<<<<<<<<<<
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 *                         double[:] img_spacing,
 */

  /* function exit code */
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 *             inside[i] = 1
 *             dx[0] = sample_points[i, 0]
 *             dx[1] = sample_points[i, 1]             # <<<<<<<<<<<<<<
 *             dx[2] = sample_points[i, 2]
 *             for p in range(3):
 */
          __pyx_t_18 = __pyx_v_i;
          __pyx_t_19 = 1;
          __pyx_t_20 = 1;
          *((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_20 * __pyx_v_dx.strides[0]) )) = (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_sample_points.data + __pyx_t_18 * __pyx_v_sample_points.strides[0]) ) + __pyx_t_19 * __pyx_v_sample_points.strides[1]) )));

          /* "dipy/align/vector_fields.pyx":3210
 *             dx[0] = sample_points[i, 0]
 *             dx[1] = sample_points[i, 1]
 *             dx[2] = sample_points[i, 2]             # <<<<<<<<<<<<<<
 *             for p in range(3):
 *                 # Compute coordinates of point dx on img's grid
 */
          __pyx_t_21 = __pyx_v_i;
          __pyx_t_22 = 2;
          __pyx_t_23 = 2;
          *((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_23 * __pyx_v_dx.strides[0]) )) = (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_sample_points.data + __pyx_t_21 * __pyx_v_sample_points.strides[0]) ) + __pyx_t_22 * __pyx_v_sample_points.strides[1]) )));

          /* "dipy/align/vector_fields.pyx":3211
 *             dx[1] = sample_points[i, 1]
 *             dx[2] = sample_points[i, 2]
 *             for p in range(3):             # <<<<<<<<<<<<<<
 *                 # Compute coordinates of point dx on img's grid
 *                 dx[p] = sample_points[i, p] - h[p]
 */
          for (__pyx_t_24 = 0; __pyx_t_24 < 3; __pyx_t_24+=1) {
            __pyx_v_p = __pyx_t_24;

            /* "dipy/align/vector_fields.pyx":3213
 *             for p in range(3):
 *                 # Compute coordinates of point dx on img's grid
 *                 dx[p] = sample_points[i, p] - h[p]             # <<<<<<<<<<<<<<
 *                 q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)
 */
            __pyx_t_25 = __pyx_v_i;
            __pyx_t_26 = __pyx_v_p;
            __pyx_t_27 = __pyx_v_p;
            __pyx_t_28 = __pyx_v_p;
            *((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_28 * __pyx_v_dx.strides[0]) )) = ((*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_sample_points.data + __pyx_t_25 * __pyx_v_sample_points.strides[0]) ) + __pyx_t_26 * __pyx_v_sample_points.strides[1]) ))) - (*((double *) ( /* dim=0 */ (__pyx_v_h.data + __pyx_t_27 * __pyx_v_h.strides[0]) ))));

            /* "dipy/align/vector_fields.pyx":3214
 *                 # Compute coordinates of point dx on img's grid
 *                 dx[p] = sample_points[i, p] - h[p]
 *                 q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                            img_world2grid)
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 */
            __pyx_t_29 = 0;
            __pyx_t_30 = 1;
            __pyx_t_31 = 2;

            /* "dipy/align/vector_fields.pyx":3215
 *                 dx[p] = sample_points[i, p] - h[p]
 *                 q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)             # <<<<<<<<<<<<<<
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)
 */
            __pyx_t_32 = 0;
            *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_32 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x0((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_29 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_30 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_31 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

            /* "dipy/align/vector_fields.pyx":3216
 *                 q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                            img_world2grid)
 *                 q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 */
            __pyx_t_33 = 0;
            __pyx_t_34 = 1;
            __pyx_t_35 = 2;

            /* "dipy/align/vector_fields.pyx":3217
 *                                            img_world2grid)
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)             # <<<<<<<<<<<<<<
 *                 q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)
 */
            __pyx_t_36 = 1;
            *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_36 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_33 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_34 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_35 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

            /* "dipy/align/vector_fields.pyx":3218
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)
 *                 q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                            img_world2grid)
 *                 # Interpolate img at q
 */
            __pyx_t_37 = 0;
            __pyx_t_38 = 1;
            __pyx_t_39 = 2;

            /* "dipy/align/vector_fields.pyx":3219
 *                                            img_world2grid)
 *                 q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)             # <<<<<<<<<<<<<<
 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1],
 */
            __pyx_t_40 = 2;
            *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_40 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_37 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_38 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_39 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

            /* "dipy/align/vector_fields.pyx":3221
 *                                            img_world2grid)
 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1],             # <<<<<<<<<<<<<<
 *                     q[2], &out[i, p])
 *                 if in_flag == 0:
 */
            __pyx_t_41 = 0;
            __pyx_t_42 = 1;

            /* "dipy/align/vector_fields.pyx":3222
 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1],
 *                     q[2], &out[i, p])             # <<<<<<<<<<<<<<
 *                 if in_flag == 0:
 *                     out[i, p] = 0
 */
            __pyx_t_43 = 2;
            __pyx_t_44 = __pyx_v_i;
            __pyx_t_45 = __pyx_v_p;

            /* "dipy/align/vector_fields.pyx":3221
 *                                            img_world2grid)
 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1],             # <<<<<<<<<<<<<<
 *                     q[2], &out[i, p])
 *                 if in_flag == 0:
 */
            __pyx_v_in_flag = __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_3d(__pyx_v_img, (*((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_41 * __pyx_v_q.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_42 * __pyx_v_q.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_43 * __pyx_v_q.strides[0]) ))), (&(*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_44 * __pyx_v_out.strides[0]) ) + __pyx_t_45 * __pyx_v_out.strides[1]) )))));

            /* "dipy/align/vector_fields.pyx":3223
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1],
 *                     q[2], &out[i, p])
 *                 if in_flag == 0:             # <<<<<<<<<<<<<<
 *                     out[i, p] = 0
 *                     inside[i] = 0
 */
            __pyx_t_46 = ((__pyx_v_in_flag == 0) != 0);
            if (__pyx_t_46) {

              /* "dipy/align/vector_fields.pyx":3224
 *                     q[2], &out[i, p])
 *                 if in_flag == 0:
 *                     out[i, p] = 0             # <<<<<<<<<<<<<<
 *                     inside[i] = 0
 *                     continue
 */
              __pyx_t_47 = __pyx_v_i;
              __pyx_t_48 = __pyx_v_p;
              *((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_47 * __pyx_v_out.strides[0]) ) + __pyx_t_48 * __pyx_v_out.strides[1]) )) = 0.0;

              /* "dipy/align/vector_fields.pyx":3225
 *                 if in_flag == 0:
 *                     out[i, p] = 0
 *                     inside[i] = 0             # <<<<<<<<<<<<<<
 *                     continue
 *                 tmp = out[i, p]
 */
              __pyx_t_49 = __pyx_v_i;
              *((int *) ( /* dim=0 */ (__pyx_v_inside.data + __pyx_t_49 * __pyx_v_inside.strides[0]) )) = 0;

              /* "dipy/align/vector_fields.pyx":3226
 *                     out[i, p] = 0
 *                     inside[i] = 0
 *                     continue             # <<<<<<<<<<<<<<
 *                 tmp = out[i, p]
 *                 # Compute coordinates of point dx on img's grid
 */
              goto __pyx_L8_continue;

              /* "dipy/align/vector_fields.pyx":3223
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1],
 *                     q[2], &out[i, p])
 *                 if in_flag == 0:             # <<<<<<<<<<<<<<
 *                     out[i, p] = 0
 *                     inside[i] = 0
 */
            }

            /* "dipy/align/vector_fields.pyx":3227
 *                     inside[i] = 0
 *                     continue
 *                 tmp = out[i, p]             # <<<<<<<<<<<<<<
 *                 # Compute coordinates of point dx on img's grid
 *                 dx[p] = sample_points[i, p] + h[p]
 */
            __pyx_t_50 = __pyx_v_i;
            __pyx_t_51 = __pyx_v_p;
            __pyx_v_tmp = (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_50 * __pyx_v_out.strides[0]) ) + __pyx_t_51 * __pyx_v_out.strides[1]) )));

            /* "dipy/align/vector_fields.pyx":3229
 *                 tmp = out[i, p]
 *                 # Compute coordinates of point dx on img's grid
 *                 dx[p] = sample_points[i, p] + h[p]             # <<<<<<<<<<<<<<
 *                 q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)
 */
            __pyx_t_52 = __pyx_v_i;
            __pyx_t_53 = __pyx_v_p;
            __pyx_t_54 = __pyx_v_p;
            __pyx_t_55 = __pyx_v_p;
            *((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_55 * __pyx_v_dx.strides[0]) )) = ((*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_sample_points.data + __pyx_t_52 * __pyx_v_sample_points.strides[0]) ) + __pyx_t_53 * __pyx_v_sample_points.strides[1]) ))) + (*((double *) ( /* dim=0 */ (__pyx_v_h.data + __pyx_t_54 * __pyx_v_h.strides[0]) ))));

            /* "dipy/align/vector_fields.pyx":3230
 *                 # Compute coordinates of point dx on img's grid
 *                 dx[p] = sample_points[i, p] + h[p]
 *                 q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                            img_world2grid)
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 */
            __pyx_t_56 = 0;
            __pyx_t_57 = 1;
            __pyx_t_58 = 2;

            /* "dipy/align/vector_fields.pyx":3231
 *                 dx[p] = sample_points[i, p] + h[p]
 *                 q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)             # <<<<<<<<<<<<<<
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)
 */
            __pyx_t_59 = 0;
            *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_59 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x0((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_56 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_57 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_58 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

            /* "dipy/align/vector_fields.pyx":3232
 *                 q[0] = _apply_affine_3d_x0(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                            img_world2grid)
 *                 q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 */
            __pyx_t_60 = 0;
            __pyx_t_61 = 1;
            __pyx_t_62 = 2;

            /* "dipy/align/vector_fields.pyx":3233
 *                                            img_world2grid)
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)             # <<<<<<<<<<<<<<
 *                 q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)
 */
            __pyx_t_63 = 1;
            *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_63 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x1((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_60 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_61 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_62 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

            /* "dipy/align/vector_fields.pyx":3234
 *                 q[1] = _apply_affine_3d_x1(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)
 *                 q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,             # <<<<<<<<<<<<<<
 *                                            img_world2grid)
 *                 # Interpolate img at q
 */
            __pyx_t_64 = 0;
            __pyx_t_65 = 1;
            __pyx_t_66 = 2;

            /* "dipy/align/vector_fields.pyx":3235
 *                                            img_world2grid)
 *                 q[2] = _apply_affine_3d_x2(dx[0], dx[1], dx[2], 1,
 *                                            img_world2grid)             # <<<<<<<<<<<<<<
 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1], q[2],
 */
            __pyx_t_67 = 2;
            *((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_67 * __pyx_v_q.strides[0]) )) = __pyx_f_4dipy_5align_13vector_fields__apply_affine_3d_x2((*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_64 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_65 * __pyx_v_dx.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_dx.data + __pyx_t_66 * __pyx_v_dx.strides[0]) ))), 1.0, __pyx_v_img_world2grid);

            /* "dipy/align/vector_fields.pyx":3237
 *                                            img_world2grid)
 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1], q[2],             # <<<<<<<<<<<<<<
 *                                                  &out[i, p])
 *                 if in_flag == 0:
 */
            __pyx_t_68 = 0;
            __pyx_t_69 = 1;
            __pyx_t_70 = 2;

            /* "dipy/align/vector_fields.pyx":3238
 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1], q[2],
 *                                                  &out[i, p])             # <<<<<<<<<<<<<<
 *                 if in_flag == 0:
 *                     out[i, p] = 0
 */
            __pyx_t_71 = __pyx_v_i;
            __pyx_t_72 = __pyx_v_p;

            /* "dipy/align/vector_fields.pyx":3237
 *                                            img_world2grid)
 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1], q[2],             # <<<<<<<<<<<<<<
 *                                                  &out[i, p])
 *                 if in_flag == 0:
 */
            __pyx_v_in_flag = __pyx_fuse_1__pyx_f_4dipy_5align_13vector_fields__interpolate_scalar_3d(__pyx_v_img, (*((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_68 * __pyx_v_q.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_69 * __pyx_v_q.strides[0]) ))), (*((double *) ( /* dim=0 */ (__pyx_v_q.data + __pyx_t_70 * __pyx_v_q.strides[0]) ))), (&(*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_71 * __pyx_v_out.strides[0]) ) + __pyx_t_72 * __pyx_v_out.strides[1]) )))));

            /* "dipy/align/vector_fields.pyx":3239
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1], q[2],
 *                                                  &out[i, p])
 *                 if in_flag == 0:             # <<<<<<<<<<<<<<
 *                     out[i, p] = 0
 *                     inside[i] = 0
 */
            __pyx_t_46 = ((__pyx_v_in_flag == 0) != 0);
            if (__pyx_t_46) {

              /* "dipy/align/vector_fields.pyx":3240
 *                                                  &out[i, p])
 *                 if in_flag == 0:
 *                     out[i, p] = 0             # <<<<<<<<<<<<<<
 *                     inside[i] = 0
 *                     continue
 */
              __pyx_t_73 = __pyx_v_i;
              __pyx_t_74 = __pyx_v_p;
              *((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_73 * __pyx_v_out.strides[0]) ) + __pyx_t_74 * __pyx_v_out.strides[1]) )) = 0.0;

              /* "dipy/align/vector_fields.pyx":3241
 *                 if in_flag == 0:
 *                     out[i, p] = 0
 *                     inside[i] = 0             # <<<<<<<<<<<<<<
 *                     continue
 *                 out[i, p] = (out[i, p] - tmp) / img_spacing[p]
 */
              __pyx_t_75 = __pyx_v_i;
              *((int *) ( /* dim=0 */ (__pyx_v_inside.data + __pyx_t_75 * __pyx_v_inside.strides[0]) )) = 0;

              /* "dipy/align/vector_fields.pyx":3242
 *                     out[i, p] = 0
 *                     inside[i] = 0
 *                     continue             # <<<<<<<<<<<<<<
 *                 out[i, p] = (out[i, p] - tmp) / img_spacing[p]
 *                 dx[p] = sample_points[i, p]
 */
              goto __pyx_L8_continue;

              /* "dipy/align/vector_fields.pyx":3239
 *                 in_flag = _interpolate_scalar_3d[floating](img, q[0], q[1], q[2],
 *                                                  &out[i, p])
 *                 if in_flag == 0:             # <<<<<<<<<<<<<<
 *                     out[i, p] = 0
 *                     inside[i] = 0
 */
            }

            /* "dipy/align/vector_fields.pyx":3243
 *                     inside[i] = 0
 *                     continue
 *                 out[i, p] = (out[i, p] - tmp) / img_spacing[p]             # <<<<<<<<<<<<<<
 *                 dx[p] = sample_points[i, p]
 * 
 */
            __pyx_t_76 = __pyx_v_i;
            __pyx_t_77 = __pyx_v_p;
            __pyx_t_78 = __pyx_v_p;
            __pyx_t_79 = __pyx_v_i;
            __pyx_t_80 = __pyx_v_p;
            *((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_79 * __pyx_v_out.strides[0]) ) + __pyx_t_80 * __pyx_v_out.strides[1]) )) = (((*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_out.data + __pyx_t_76 * __pyx_v_out.strides[0]) ) + __pyx_t_77 * __pyx_v_out.strides[1]) ))) - __pyx_v_tmp) / (*((double *) ( /* dim=0 */ (__pyx_v_img_spacing.data + __pyx_t_78 * __pyx_v_img_spacing.strides[0]) ))));

            /* "dipy/align/vector_fields.pyx":3244
 *                     continue
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/* "dipy/align/vector_fields.pyx":3330
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 *                 q[0] = _apply_affine_2d_x0(dx[0], dx[1], 1, img_world2grid)
 *                 q[1] = _apply_affine_2d_x1(dx[0], dx[1], 1, img_world2grid)             # <<<<<<<<<<<<<<
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 *                 in_flag = _interpolate_scalar_2d[floating](img, q[0], q[1],
 */
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 *                 in_flag = _interpolate_scalar_2d[floating](img, q[0], q[1],             # <<<<<<<<<<<<<<
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 */
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            /* "dipy/align/vector_fields.pyx":3385
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 *                 if in_flag == 0:
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            /* "dipy/align/vector_fields.pyx":3384
 *                 q[1] = _apply_affine_2d_x1(dx[0], dx[1], 1, img_world2grid)
 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_2d[floating](img, q[0], q[1],             # <<<<<<<<<<<<<<
 *                                                            &out[i, p])
 *                 if in_flag == 0:
 */
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            __pyx_t_39 = __pyx_v_p;
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            /* "dipy/align/vector_fields.pyx":3392
 *                 tmp = out[i, p]
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 *                 dx[p] = sample_points[i, p] + h[p]             # <<<<<<<<<<<<<<
 *                 q[0] = _apply_affine_2d_x0(dx[0], dx[1], 1, img_world2grid)
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            __pyx_t_41 = __pyx_v_p;
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 *                 q[0] = _apply_affine_2d_x0(dx[0], dx[1], 1, img_world2grid)             # <<<<<<<<<<<<<<
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            /* "dipy/align/vector_fields.pyx":3394
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 *                 q[1] = _apply_affine_2d_x1(dx[0], dx[1], 1, img_world2grid)             # <<<<<<<<<<<<<<
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 *                 in_flag = _interpolate_scalar_2d[floating](img, q[0], q[1],             # <<<<<<<<<<<<<<
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 *                 # Interpolate img at q
 *                 in_flag = _interpolate_scalar_2d[floating](img, q[0], q[1],             # <<<<<<<<<<<<<<
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/* "dipy/align/vector_fields.pxd":26
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/* "dipy/align/vector_fields.pxd":36
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 */
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 */
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/* "View.MemoryView":795
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static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *__pyx_v_dst, Py_ssize_t __pyx_v_shape, Py_ssize_t __pyx_v_stride, Py_ssize_t __pyx_v_suboffset, int __pyx_v_dim, int __pyx_v_new_ndim, int *__pyx_v_suboffset_dim, Py_ssize_t __pyx_v_start, Py_ssize_t __pyx_v_stop, Py_ssize_t __pyx_v_step, int __pyx_v_have_start, int __pyx_v_have_stop, int __pyx_v_have_step, int __pyx_v_is_slice) {
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 * 
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 */
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 */
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 * 
 *         if have_step and step == 0:
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 * 
 * 
 */
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 */
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 * 
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 */
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 *                     start = shape - 1
 *                 else:
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 * 
 *         if have_start:             # <<<<<<<<<<<<<<
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        /* "View.MemoryView":841
 *         else:
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 *                 start = 0
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        /* "View.MemoryView":840
 *                     start = shape
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        goto __pyx_L15;
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      /* "View.MemoryView":843
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 *         if have_stop:
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 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
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      /* "View.MemoryView":846
 * 
 *         if have_stop:
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 *                 stop += shape
 *                 if stop < 0:
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        /* "View.MemoryView":847
 *         if have_stop:
 *             if stop < 0:
 *                 stop += shape             # <<<<<<<<<<<<<<
 *                 if stop < 0:
 *                     stop = 0
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        __pyx_v_stop = (__pyx_v_stop + __pyx_v_shape);

        /* "View.MemoryView":848
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
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        __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
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          /* "View.MemoryView":849
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          /* "View.MemoryView":848
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 *                     stop = 0
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        }

        /* "View.MemoryView":846
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
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        goto __pyx_L17;
      }

      /* "View.MemoryView":850
 *                 if stop < 0:
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 *             elif stop > shape:             # <<<<<<<<<<<<<<
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 *         else:
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      if (__pyx_t_2) {

        /* "View.MemoryView":851
 *                     stop = 0
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        /* "View.MemoryView":850
 *                 if stop < 0:
 *                     stop = 0
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      __pyx_L17:;

      /* "View.MemoryView":845
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 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
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    /* "View.MemoryView":853
 *                 stop = shape
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        /* "View.MemoryView":854
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        /* "View.MemoryView":853
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 *         if not have_step:             # <<<<<<<<<<<<<<
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 */
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 * 
 *         if not have_step:
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 * 
 */
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 */
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 */
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 * 
 *             if (stop - start) - step * new_shape:
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      /* "View.MemoryView":865
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 */
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 * 
 */
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 */
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 * 
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 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    __pyx_t_2 = ((__pyx_v_src_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }
    __pyx_t_2 = ((__pyx_v_dst_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }

    /* "View.MemoryView":1139
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):             # <<<<<<<<<<<<<<
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 *        else:
 */
    __pyx_t_2 = (((size_t)__pyx_v_src_stride) == __pyx_v_itemsize);
    if (__pyx_t_2) {
      __pyx_t_2 = (__pyx_v_itemsize == ((size_t)__pyx_v_dst_stride));
    }
    __pyx_t_3 = (__pyx_t_2 != 0);
    __pyx_t_1 = __pyx_t_3;
    __pyx_L5_bool_binop_done:;

    /* "View.MemoryView":1138
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    if (__pyx_t_1) {

      /* "View.MemoryView":1140
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)             # <<<<<<<<<<<<<<
 *        else:
 *            for i in range(dst_extent):
 */
      memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent));

      /* "View.MemoryView":1138
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
      goto __pyx_L4;
    }

    /* "View.MemoryView":1142
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 *        else:
 *            for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride
 */
    /*else*/ {
      __pyx_t_4 = __pyx_v_dst_extent;
      for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
        __pyx_v_i = __pyx_t_5;

        /* "View.MemoryView":1143
 *        else:
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
 *                src_data += src_stride
 *                dst_data += dst_stride
 */
        memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize);

        /* "View.MemoryView":1144
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride             # <<<<<<<<<<<<<<
 *                dst_data += dst_stride
 *     else:
 */
        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

        /* "View.MemoryView":1145
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride
 *                dst_data += dst_stride             # <<<<<<<<<<<<<<
 *     else:
 *         for i in range(dst_extent):
 */
        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
      }
    }
    __pyx_L4:;

    /* "View.MemoryView":1137
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1147
 *                dst_data += dst_stride
 *     else:
 *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *             _copy_strided_to_strided(src_data, src_strides + 1,
 *                                      dst_data, dst_strides + 1,
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_dst_extent;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_i = __pyx_t_5;

      /* "View.MemoryView":1148
 *     else:
 *         for i in range(dst_extent):
 *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
 *                                      dst_data, dst_strides + 1,
 *                                      src_shape + 1, dst_shape + 1,
 */
      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);

      /* "View.MemoryView":1152
 *                                      src_shape + 1, dst_shape + 1,
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride             # <<<<<<<<<<<<<<
 *             dst_data += dst_stride
 * 
 */
      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

      /* "View.MemoryView":1153
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride
 *             dst_data += dst_stride             # <<<<<<<<<<<<<<
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,
 */
      __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1125
 * 
 * @cython.cdivision(True)
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
 *                                    char *dst_data, Py_ssize_t *dst_strides,
 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
 */

  /* function exit code */
}

/* "View.MemoryView":1155
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {

  /* "View.MemoryView":1158
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
 */
  _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1155
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

  /* function exit code */
}

/* "View.MemoryView":1162
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef int i
 */

static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {
  int __pyx_v_i;
  Py_ssize_t __pyx_v_size;
  Py_ssize_t __pyx_r;
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "View.MemoryView":1165
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef int i
 *     cdef Py_ssize_t size = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
 */
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_size = __pyx_t_1;

  /* "View.MemoryView":1167
 *     cdef Py_ssize_t size = src.memview.view.itemsize
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         size *= src.shape[i]
 * 
 */
  __pyx_t_2 = __pyx_v_ndim;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "View.MemoryView":1168
 * 
 *     for i in range(ndim):
 *         size *= src.shape[i]             # <<<<<<<<<<<<<<
 * 
 *     return size
 */
    __pyx_v_size = (__pyx_v_size * (__pyx_v_src->shape[__pyx_v_i]));
  }

  /* "View.MemoryView":1170
 *         size *= src.shape[i]
 * 
 *     return size             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_fill_contig_strides_array')
 */
  __pyx_r = __pyx_v_size;
  goto __pyx_L0;

  /* "View.MemoryView":1162
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef int i
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1173
 * 
 * @cname('__pyx_fill_contig_strides_array')
 * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
 *                 int ndim, char order) nogil:
 */

static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, Py_ssize_t __pyx_v_stride, int __pyx_v_ndim, char __pyx_v_order) {
  int __pyx_v_idx;
  Py_ssize_t __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "View.MemoryView":1182
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
 */
  __pyx_t_1 = ((__pyx_v_order == 'F') != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1183
 * 
 *     if order == 'F':
 *         for idx in range(ndim):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride = stride * shape[idx]
 */
    __pyx_t_2 = __pyx_v_ndim;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_idx = __pyx_t_3;

      /* "View.MemoryView":1184
 *     if order == 'F':
 *         for idx in range(ndim):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride = stride * shape[idx]
 *     else:
 */
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

      /* "View.MemoryView":1185
 *         for idx in range(ndim):
 *             strides[idx] = stride
 *             stride = stride * shape[idx]             # <<<<<<<<<<<<<<
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
 */
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
    }

    /* "View.MemoryView":1182
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1187
 *             stride = stride * shape[idx]
 *     else:
 *         for idx in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride = stride * shape[idx]
 */
  /*else*/ {
    for (__pyx_t_2 = (__pyx_v_ndim - 1); __pyx_t_2 > -1L; __pyx_t_2-=1) {
      __pyx_v_idx = __pyx_t_2;

      /* "View.MemoryView":1188
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride = stride * shape[idx]
 * 
 */
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

      /* "View.MemoryView":1189
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride
 *             stride = stride * shape[idx]             # <<<<<<<<<<<<<<
 * 
 *     return stride
 */
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1191
 *             stride = stride * shape[idx]
 * 
 *     return stride             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')
 */
  __pyx_r = __pyx_v_stride;
  goto __pyx_L0;

  /* "View.MemoryView":1173
 * 
 * @cname('__pyx_fill_contig_strides_array')
 * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
 *                 int ndim, char order) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1194
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')
 * cdef void *copy_data_to_temp(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                              __Pyx_memviewslice *tmpslice,
 *                              char order,
 */

static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_tmpslice, char __pyx_v_order, int __pyx_v_ndim) {
  int __pyx_v_i;
  void *__pyx_v_result;
  size_t __pyx_v_itemsize;
  size_t __pyx_v_size;
  void *__pyx_r;
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  struct __pyx_memoryview_obj *__pyx_t_4;
  int __pyx_t_5;

  /* "View.MemoryView":1205
 *     cdef void *result
 * 
 *     cdef size_t itemsize = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 *     cdef size_t size = slice_get_size(src, ndim)
 * 
 */
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_itemsize = __pyx_t_1;

  /* "View.MemoryView":1206
 * 
 *     cdef size_t itemsize = src.memview.view.itemsize
 *     cdef size_t size = slice_get_size(src, ndim)             # <<<<<<<<<<<<<<
 * 
 *     result = malloc(size)
 */
  __pyx_v_size = __pyx_memoryview_slice_get_size(__pyx_v_src, __pyx_v_ndim);

  /* "View.MemoryView":1208
 *     cdef size_t size = slice_get_size(src, ndim)
 * 
 *     result = malloc(size)             # <<<<<<<<<<<<<<
 *     if not result:
 *         _err(MemoryError, NULL)
 */
  __pyx_v_result = malloc(__pyx_v_size);

  /* "View.MemoryView":1209
 * 
 *     result = malloc(size)
 *     if not result:             # <<<<<<<<<<<<<<
 *         _err(MemoryError, NULL)
 * 
 */
  __pyx_t_2 = ((!(__pyx_v_result != 0)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1210
 *     result = malloc(size)
 *     if not result:
 *         _err(MemoryError, NULL)             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_t_3 = __pyx_memoryview_err(__pyx_builtin_MemoryError, NULL); if (unlikely(__pyx_t_3 == -1)) __PYX_ERR(2, 1210, __pyx_L1_error)

    /* "View.MemoryView":1209
 * 
 *     result = malloc(size)
 *     if not result:             # <<<<<<<<<<<<<<
 *         _err(MemoryError, NULL)
 * 
 */
  }

  /* "View.MemoryView":1213
 * 
 * 
 *     tmpslice.data = <char *> result             # <<<<<<<<<<<<<<
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):
 */
  __pyx_v_tmpslice->data = ((char *)__pyx_v_result);

  /* "View.MemoryView":1214
 * 
 *     tmpslice.data = <char *> result
 *     tmpslice.memview = src.memview             # <<<<<<<<<<<<<<
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]
 */
  __pyx_t_4 = __pyx_v_src->memview;
  __pyx_v_tmpslice->memview = __pyx_t_4;

  /* "View.MemoryView":1215
 *     tmpslice.data = <char *> result
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         tmpslice.shape[i] = src.shape[i]
 *         tmpslice.suboffsets[i] = -1
 */
  __pyx_t_3 = __pyx_v_ndim;
  for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_3; __pyx_t_5+=1) {
    __pyx_v_i = __pyx_t_5;

    /* "View.MemoryView":1216
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]             # <<<<<<<<<<<<<<
 *         tmpslice.suboffsets[i] = -1
 * 
 */
    (__pyx_v_tmpslice->shape[__pyx_v_i]) = (__pyx_v_src->shape[__pyx_v_i]);

    /* "View.MemoryView":1217
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]
 *         tmpslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
 * 
 *     fill_contig_strides_array(&tmpslice.shape[0], &tmpslice.strides[0], itemsize,
 */
    (__pyx_v_tmpslice->suboffsets[__pyx_v_i]) = -1L;
  }

  /* "View.MemoryView":1219
 *         tmpslice.suboffsets[i] = -1
 * 
 *     fill_contig_strides_array(&tmpslice.shape[0], &tmpslice.strides[0], itemsize,             # <<<<<<<<<<<<<<
 *                               ndim, order)
 * 
 */
  __pyx_fill_contig_strides_array((&(__pyx_v_tmpslice->shape[0])), (&(__pyx_v_tmpslice->strides[0])), __pyx_v_itemsize, __pyx_v_ndim, __pyx_v_order);

  /* "View.MemoryView":1223
 * 
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if tmpslice.shape[i] == 1:
 *             tmpslice.strides[i] = 0
 */
  __pyx_t_3 = __pyx_v_ndim;
  for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_3; __pyx_t_5+=1) {
    __pyx_v_i = __pyx_t_5;

    /* "View.MemoryView":1224
 * 
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:             # <<<<<<<<<<<<<<
 *             tmpslice.strides[i] = 0
 * 
 */
    __pyx_t_2 = (((__pyx_v_tmpslice->shape[__pyx_v_i]) == 1) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1225
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:
 *             tmpslice.strides[i] = 0             # <<<<<<<<<<<<<<
 * 
 *     if slice_is_contig(src[0], order, ndim):
 */
      (__pyx_v_tmpslice->strides[__pyx_v_i]) = 0;

      /* "View.MemoryView":1224
 * 
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:             # <<<<<<<<<<<<<<
 *             tmpslice.strides[i] = 0
 * 
 */
    }
  }

  /* "View.MemoryView":1227
 *             tmpslice.strides[i] = 0
 * 
 *     if slice_is_contig(src[0], order, ndim):             # <<<<<<<<<<<<<<
 *         memcpy(result, src.data, size)
 *     else:
 */
  __pyx_t_2 = (__pyx_memviewslice_is_contig((__pyx_v_src[0]), __pyx_v_order, __pyx_v_ndim) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1228
 * 
 *     if slice_is_contig(src[0], order, ndim):
 *         memcpy(result, src.data, size)             # <<<<<<<<<<<<<<
 *     else:
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)
 */
    memcpy(__pyx_v_result, __pyx_v_src->data, __pyx_v_size);

    /* "View.MemoryView":1227
 *             tmpslice.strides[i] = 0
 * 
 *     if slice_is_contig(src[0], order, ndim):             # <<<<<<<<<<<<<<
 *         memcpy(result, src.data, size)
 *     else:
 */
    goto __pyx_L9;
  }

  /* "View.MemoryView":1230
 *         memcpy(result, src.data, size)
 *     else:
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)             # <<<<<<<<<<<<<<
 * 
 *     return result
 */
  /*else*/ {
    copy_strided_to_strided(__pyx_v_src, __pyx_v_tmpslice, __pyx_v_ndim, __pyx_v_itemsize);
  }
  __pyx_L9:;

  /* "View.MemoryView":1232
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)
 * 
 *     return result             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_result;
  goto __pyx_L0;

  /* "View.MemoryView":1194
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')
 * cdef void *copy_data_to_temp(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
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 *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
 */
  __pyx_t_2 = ((__pyx_v_dst_ndim < __pyx_v_src_ndim) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1273
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:
 *         broadcast_leading(&dst, dst_ndim, src_ndim)             # <<<<<<<<<<<<<<
 * 
 *     cdef int ndim = max(src_ndim, dst_ndim)
 */
    __pyx_memoryview_broadcast_leading((&__pyx_v_dst), __pyx_v_dst_ndim, __pyx_v_src_ndim);

    /* "View.MemoryView":1272
 *     if src_ndim < dst_ndim:
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
 */
  }
  __pyx_L3:;

  /* "View.MemoryView":1275
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
 *     cdef int ndim = max(src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
 */
  __pyx_t_3 = __pyx_v_dst_ndim;
  __pyx_t_4 = __pyx_v_src_ndim;
  if (((__pyx_t_3 > __pyx_t_4) != 0)) {
    __pyx_t_5 = __pyx_t_3;
  } else {
    __pyx_t_5 = __pyx_t_4;
  }
  __pyx_v_ndim = __pyx_t_5;

  /* "View.MemoryView":1277
 *     cdef int ndim = max(src_ndim, dst_ndim)
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:
 */
  __pyx_t_5 = __pyx_v_ndim;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_5; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "View.MemoryView":1278
 * 
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
 *             if src.shape[i] == 1:
 *                 broadcasting = True
 */
    __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) != (__pyx_v_dst.shape[__pyx_v_i])) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1279
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
 *                 broadcasting = True
 *                 src.strides[i] = 0
 */
      __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) == 1) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":1280
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:
 *                 broadcasting = True             # <<<<<<<<<<<<<<
 *                 src.strides[i] = 0
 *             else:
 */
        __pyx_v_broadcasting = 1;

        /* "View.MemoryView":1281
 *             if src.shape[i] == 1:
 *                 broadcasting = True
 *                 src.strides[i] = 0             # <<<<<<<<<<<<<<
 *             else:
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 */
        (__pyx_v_src.strides[__pyx_v_i]) = 0;

        /* "View.MemoryView":1279
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
 *                 broadcasting = True
 *                 src.strides[i] = 0
 */
        goto __pyx_L7;
      }

      /* "View.MemoryView":1283
 *                 src.strides[i] = 0
 *             else:
 *                 _err_extents(i, dst.shape[i], src.shape[i])             # <<<<<<<<<<<<<<
 * 
 *         if src.suboffsets[i] >= 0:
 */
      /*else*/ {
        __pyx_t_4 = __pyx_memoryview_err_extents(__pyx_v_i, (__pyx_v_dst.shape[__pyx_v_i]), (__pyx_v_src.shape[__pyx_v_i])); if (unlikely(__pyx_t_4 == -1)) __PYX_ERR(2, 1283, __pyx_L1_error)
      }
      __pyx_L7:;

      /* "View.MemoryView":1278
 * 
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
 *             if src.shape[i] == 1:
 *                 broadcasting = True
 */
    }

    /* "View.MemoryView":1285
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 */
    __pyx_t_2 = (((__pyx_v_src.suboffsets[__pyx_v_i]) >= 0) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1286
 * 
 *         if src.suboffsets[i] >= 0:
 *             _err_dim(ValueError, "Dimension %d is not direct", i)             # <<<<<<<<<<<<<<
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 */
      __pyx_t_4 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Dimension %d is not direct"), __pyx_v_i); if (unlikely(__pyx_t_4 == -1)) __PYX_ERR(2, 1286, __pyx_L1_error)

      /* "View.MemoryView":1285
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 */
    }
  }

  /* "View.MemoryView":1288
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(src, order, ndim):
 */
  __pyx_t_2 = (__pyx_slices_overlap((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1290
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
 */
    __pyx_t_2 = ((!(__pyx_memviewslice_is_contig(__pyx_v_src, __pyx_v_order, __pyx_v_ndim) != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1291
 * 
 *         if not slice_is_contig(src, order, ndim):
 *             order = get_best_order(&dst, ndim)             # <<<<<<<<<<<<<<
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
 */
      __pyx_v_order = __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim);

      /* "View.MemoryView":1290
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
 */
    }

    /* "View.MemoryView":1293
 *             order = get_best_order(&dst, ndim)
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)             # <<<<<<<<<<<<<<
 *         src = tmp
 * 
 */
    __pyx_t_6 = __pyx_memoryview_copy_data_to_temp((&__pyx_v_src), (&__pyx_v_tmp), __pyx_v_order, __pyx_v_ndim); if (unlikely(__pyx_t_6 == NULL)) __PYX_ERR(2, 1293, __pyx_L1_error)
    __pyx_v_tmpdata = __pyx_t_6;

    /* "View.MemoryView":1294
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
 *         src = tmp             # <<<<<<<<<<<<<<
 * 
 *     if not broadcasting:
 */
    __pyx_v_src = __pyx_v_tmp;

    /* "View.MemoryView":1288
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(src, order, ndim):
 */
  }

  /* "View.MemoryView":1296
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_2 = ((!(__pyx_v_broadcasting != 0)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1299
 * 
 * 
 *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 */
    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'C', __pyx_v_ndim) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1300
 * 
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)             # <<<<<<<<<<<<<<
 *         elif slice_is_contig(src, 'F', ndim):
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 */
      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'C', __pyx_v_ndim);

      /* "View.MemoryView":1299
 * 
 * 
 *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 */
      goto __pyx_L12;
    }

    /* "View.MemoryView":1301
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 */
    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'F', __pyx_v_ndim) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1302
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 *             direct_copy = slice_is_contig(dst, 'F', ndim)             # <<<<<<<<<<<<<<
 * 
 *         if direct_copy:
 */
      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'F', __pyx_v_ndim);

      /* "View.MemoryView":1301
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 */
    }
    __pyx_L12:;

    /* "View.MemoryView":1304
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    __pyx_t_2 = (__pyx_v_direct_copy != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1306
 *         if direct_copy:
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 */
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

      /* "View.MemoryView":1307
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))             # <<<<<<<<<<<<<<
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)
 */
      memcpy(__pyx_v_dst.data, __pyx_v_src.data, __pyx_memoryview_slice_get_size((&__pyx_v_src), __pyx_v_ndim));

      /* "View.MemoryView":1308
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
 *             free(tmpdata)
 *             return 0
 */
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

      /* "View.MemoryView":1309
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)             # <<<<<<<<<<<<<<
 *             return 0
 * 
 */
      free(__pyx_v_tmpdata);

      /* "View.MemoryView":1310
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)
 *             return 0             # <<<<<<<<<<<<<<
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):
 */
      __pyx_r = 0;
      goto __pyx_L0;

      /* "View.MemoryView":1304
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    }

    /* "View.MemoryView":1296
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1312
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_2 = (__pyx_v_order == 'F');
  if (__pyx_t_2) {
    __pyx_t_2 = ('F' == __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim));
  }
  __pyx_t_7 = (__pyx_t_2 != 0);
  if (__pyx_t_7) {

    /* "View.MemoryView":1315
 * 
 * 
 *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
 *         transpose_memslice(&dst)
 * 
 */
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_src)); if (unlikely(__pyx_t_5 == 0)) __PYX_ERR(2, 1315, __pyx_L1_error)

    /* "View.MemoryView":1316
 * 
 *         transpose_memslice(&src)
 *         transpose_memslice(&dst)             # <<<<<<<<<<<<<<
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_dst)); if (unlikely(__pyx_t_5 == 0)) __PYX_ERR(2, 1316, __pyx_L1_error)

    /* "View.MemoryView":1312
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1318
 *         transpose_memslice(&dst)
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 */
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

  /* "View.MemoryView":1319
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)             # <<<<<<<<<<<<<<
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 * 
 */
  copy_strided_to_strided((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1320
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
 * 
 *     free(tmpdata)
 */
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

  /* "View.MemoryView":1322
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 * 
 *     free(tmpdata)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_tmpdata);

  /* "View.MemoryView":1323
 * 
 *     free(tmpdata)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "View.MemoryView":1254
 * 
 * @cname('__pyx_memoryview_copy_contents')
 * cdef int memoryview_copy_contents(__Pyx_memviewslice src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice dst,
 *                                   int src_ndim, int dst_ndim,
 */

  /* function exit code */
  __pyx_L1_error:;
  {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
    #endif
    __Pyx_AddTraceback("View.MemoryView.memoryview_copy_contents", __pyx_clineno, __pyx_lineno, __pyx_filename);
    #ifdef WITH_THREAD
    __Pyx_PyGILState_Release(__pyx_gilstate_save);
    #endif
  }
  __pyx_r = -1;
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1326
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
 *                             int ndim,
 *                             int ndim_other) nogil:
 */

static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim, int __pyx_v_ndim_other) {
  int __pyx_v_i;
  int __pyx_v_offset;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "View.MemoryView":1330
 *                             int ndim_other) nogil:
 *     cdef int i
 *     cdef int offset = ndim_other - ndim             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim - 1, -1, -1):
 */
  __pyx_v_offset = (__pyx_v_ndim_other - __pyx_v_ndim);

  /* "View.MemoryView":1332
 *     cdef int offset = ndim_other - ndim
 * 
 *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]
 */
  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1L; __pyx_t_1-=1) {
    __pyx_v_i = __pyx_t_1;

    /* "View.MemoryView":1333
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         mslice.shape[i + offset] = mslice.shape[i]             # <<<<<<<<<<<<<<
 *         mslice.strides[i + offset] = mslice.strides[i]
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 */
    (__pyx_v_mslice->shape[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->shape[__pyx_v_i]);

    /* "View.MemoryView":1334
 *     for i in range(ndim - 1, -1, -1):
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]             # <<<<<<<<<<<<<<
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 * 
 */
    (__pyx_v_mslice->strides[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->strides[__pyx_v_i]);

    /* "View.MemoryView":1335
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]             # <<<<<<<<<<<<<<
 * 
 *     for i in range(offset):
 */
    (__pyx_v_mslice->suboffsets[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->suboffsets[__pyx_v_i]);
  }

  /* "View.MemoryView":1337
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 * 
 *     for i in range(offset):             # <<<<<<<<<<<<<<
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]
 */
  __pyx_t_1 = __pyx_v_offset;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_i = __pyx_t_2;

    /* "View.MemoryView":1338
 * 
 *     for i in range(offset):
 *         mslice.shape[i] = 1             # <<<<<<<<<<<<<<
 *         mslice.strides[i] = mslice.strides[0]
 *         mslice.suboffsets[i] = -1
 */
    (__pyx_v_mslice->shape[__pyx_v_i]) = 1;

    /* "View.MemoryView":1339
 *     for i in range(offset):
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]             # <<<<<<<<<<<<<<
 *         mslice.suboffsets[i] = -1
 * 
 */
    (__pyx_v_mslice->strides[__pyx_v_i]) = (__pyx_v_mslice->strides[0]);

    /* "View.MemoryView":1340
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]
 *         mslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
 * 
 * 
 */
    (__pyx_v_mslice->suboffsets[__pyx_v_i]) = -1L;
  }

  /* "View.MemoryView":1326
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
 *                             int ndim,
 *                             int ndim_other) nogil:
 */

  /* function exit code */
}

/* "View.MemoryView":1348
 * 
 * @cname('__pyx_memoryview_refcount_copying')
 * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object,             # <<<<<<<<<<<<<<
 *                            int ndim, bint inc) nogil:
 * 
 */

static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_dtype_is_object, int __pyx_v_ndim, int __pyx_v_inc) {
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  Py_CLEAR(p->mode);
  Py_CLEAR(p->_format);
  (*Py_TYPE(o)->tp_free)(o);
}
static PyObject *__pyx_sq_item_array(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  Py_DECREF(x);
  return r;
}

static int __pyx_mp_ass_subscript_array(PyObject *o, PyObject *i, PyObject *v) {
  if (v) {
    return __pyx_array___setitem__(o, i, v);
  }
  else {
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
    return -1;
  }
}

static PyObject *__pyx_tp_getattro_array(PyObject *o, PyObject *n) {
  PyObject *v = PyObject_GenericGetAttr(o, n);
  if (!v && PyErr_ExceptionMatches(PyExc_AttributeError)) {
    PyErr_Clear();
    v = __pyx_array___getattr__(o, n);
  }
  return v;
}

static PyObject *__pyx_getprop___pyx_array_memview(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_5array_7memview_1__get__(o);
}

static PyMethodDef __pyx_methods_array[] = {
  {"__getattr__", (PyCFunction)__pyx_array___getattr__, METH_O|METH_COEXIST, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_array_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_array_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_array[] = {
  {(char *)"memview", __pyx_getprop___pyx_array_memview, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PySequenceMethods __pyx_tp_as_sequence_array = {
  __pyx_array___len__, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_array, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_array = {
  __pyx_array___len__, /*mp_length*/
  __pyx_array___getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_array, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_array = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  __pyx_array_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};

static PyTypeObject __pyx_type___pyx_array = {
  PyVarObject_HEAD_INIT(0, 0)
  "dipy.align.vector_fields.array", /*tp_name*/
  sizeof(struct __pyx_array_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_array, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_array, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_array, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  __pyx_tp_getattro_array, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_array, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  0, /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_array, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_array, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_array, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_MemviewEnum_obj *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_MemviewEnum_obj *)o);
  p->name = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_Enum(PyObject *o) {
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->name);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_Enum(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  if (p->name) {
    e = (*v)(p->name, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_Enum(PyObject *o) {
  PyObject* tmp;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  tmp = ((PyObject*)p->name);
  p->name = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_Enum[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type___pyx_MemviewEnum = {
  PyVarObject_HEAD_INIT(0, 0)
  "dipy.align.vector_fields.Enum", /*tp_name*/
  sizeof(struct __pyx_MemviewEnum_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_Enum, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_MemviewEnum___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_Enum, /*tp_traverse*/
  __pyx_tp_clear_Enum, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_Enum, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_MemviewEnum___init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_Enum, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};
static struct __pyx_vtabstruct_memoryview __pyx_vtable_memoryview;

static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_memoryview_obj *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryview_obj *)o);
  p->__pyx_vtab = __pyx_vtabptr_memoryview;
  p->obj = Py_None; Py_INCREF(Py_None);
  p->_size = Py_None; Py_INCREF(Py_None);
  p->_array_interface = Py_None; Py_INCREF(Py_None);
  p->view.obj = NULL;
  if (unlikely(__pyx_memoryview___cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_memoryview(PyObject *o) {
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_memoryview___dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->obj);
  Py_CLEAR(p->_size);
  Py_CLEAR(p->_array_interface);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_memoryview(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  if (p->obj) {
    e = (*v)(p->obj, a); if (e) return e;
  }
  if (p->_size) {
    e = (*v)(p->_size, a); if (e) return e;
  }
  if (p->_array_interface) {
    e = (*v)(p->_array_interface, a); if (e) return e;
  }
  if (p->view.obj) {
    e = (*v)(p->view.obj, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_memoryview(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  tmp = ((PyObject*)p->obj);
  p->obj = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_size);
  p->_size = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_array_interface);
  p->_array_interface = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  Py_CLEAR(p->view.obj);
  return 0;
}
static PyObject *__pyx_sq_item_memoryview(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  Py_DECREF(x);
  return r;
}

static int __pyx_mp_ass_subscript_memoryview(PyObject *o, PyObject *i, PyObject *v) {
  if (v) {
    return __pyx_memoryview___setitem__(o, i, v);
  }
  else {
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
    return -1;
  }
}

static PyObject *__pyx_getprop___pyx_memoryview_T(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_1T_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4base_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_shape(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_5shape_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_strides(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_7strides_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_suboffsets(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_10suboffsets_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_ndim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4ndim_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_itemsize(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_8itemsize_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_nbytes(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_6nbytes_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4size_1__get__(o);
}

static PyMethodDef __pyx_methods_memoryview[] = {
  {"is_c_contig", (PyCFunction)__pyx_memoryview_is_c_contig, METH_NOARGS, 0},
  {"is_f_contig", (PyCFunction)__pyx_memoryview_is_f_contig, METH_NOARGS, 0},
  {"copy", (PyCFunction)__pyx_memoryview_copy, METH_NOARGS, 0},
  {"copy_fortran", (PyCFunction)__pyx_memoryview_copy_fortran, METH_NOARGS, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_memoryview[] = {
  {(char *)"T", __pyx_getprop___pyx_memoryview_T, 0, (char *)0, 0},
  {(char *)"base", __pyx_getprop___pyx_memoryview_base, 0, (char *)0, 0},
  {(char *)"shape", __pyx_getprop___pyx_memoryview_shape, 0, (char *)0, 0},
  {(char *)"strides", __pyx_getprop___pyx_memoryview_strides, 0, (char *)0, 0},
  {(char *)"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, (char *)0, 0},
  {(char *)"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, (char *)0, 0},
  {(char *)"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, (char *)0, 0},
  {(char *)"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, (char *)0, 0},
  {(char *)"size", __pyx_getprop___pyx_memoryview_size, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PySequenceMethods __pyx_tp_as_sequence_memoryview = {
  __pyx_memoryview___len__, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_memoryview, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_memoryview = {
  __pyx_memoryview___len__, /*mp_length*/
  __pyx_memoryview___getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_memoryview, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_memoryview = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  __pyx_memoryview_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};

static PyTypeObject __pyx_type___pyx_memoryview = {
  PyVarObject_HEAD_INIT(0, 0)
  "dipy.align.vector_fields.memoryview", /*tp_name*/
  sizeof(struct __pyx_memoryview_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_memoryview, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_memoryview___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  __pyx_memoryview___str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_memoryview, /*tp_traverse*/
  __pyx_tp_clear_memoryview, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_memoryview, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_memoryview, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_memoryview, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};
static struct __pyx_vtabstruct__memoryviewslice __pyx_vtable__memoryviewslice;

static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_memoryviewslice_obj *p;
  PyObject *o = __pyx_tp_new_memoryview(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryviewslice_obj *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_memoryview*)__pyx_vtabptr__memoryviewslice;
  p->from_object = Py_None; Py_INCREF(Py_None);
  p->from_slice.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc__memoryviewslice(PyObject *o) {
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_memoryviewslice___dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->from_object);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_memoryview(o);
}

static int __pyx_tp_traverse__memoryviewslice(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  e = __pyx_tp_traverse_memoryview(o, v, a); if (e) return e;
  if (p->from_object) {
    e = (*v)(p->from_object, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear__memoryviewslice(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  __pyx_tp_clear_memoryview(o);
  tmp = ((PyObject*)p->from_object);
  p->from_object = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  __PYX_XDEC_MEMVIEW(&p->from_slice, 1);
  return 0;
}

static PyObject *__pyx_getprop___pyx_memoryviewslice_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_16_memoryviewslice_4base_1__get__(o);
}

static PyMethodDef __pyx_methods__memoryviewslice[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_1__reduce_cython__, METH_NOARGS, 0},
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};

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};

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  0, /*tp_itemsize*/
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  0, /*tp_getattr*/
  0, /*tp_setattr*/
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  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_memoryview___repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_memoryview___str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
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  __pyx_tp_traverse__memoryviewslice, /*tp_traverse*/
  __pyx_tp_clear__memoryviewslice, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods__memoryviewslice, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets__memoryviewslice, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new__memoryviewslice, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyMethodDef __pyx_methods[] = {
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};

#if PY_MAJOR_VERSION >= 3
static struct PyModuleDef __pyx_moduledef = {
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    { PyObject_HEAD_INIT(NULL) NULL, 0, NULL },
  #else
    PyModuleDef_HEAD_INIT,
  #endif
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    0, /* m_doc */
    -1, /* m_size */
    __pyx_methods /* m_methods */,
    NULL, /* m_reload */
    NULL, /* m_traverse */
    NULL, /* m_clear */
    NULL /* m_free */
};
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 *     if not is_valid_affine(d_world2grid, 2):
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 * 
 * def invert_vector_field_fixed_point_3d(floating[:, :, :, :] d,             # <<<<<<<<<<<<<<
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 *         double[:, :, :] norms = np.zeros(shape=(ns, nr, nc), dtype=np.float64)
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 *     if not is_valid_affine(d_world2grid, 3):
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 *         double[:] stats = np.zeros(shape=(2,), dtype=np.float64)             # <<<<<<<<<<<<<<
 *         double[:] substats = np.zeros(shape=(3,), dtype=np.float64)
 *         double[:, :, :] norms = np.zeros(shape=(ns, nr, nc), dtype=np.float64)
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 *         double[:, :, :] norms = np.zeros(shape=(ns, nr, nc), dtype=np.float64)
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 *     if not is_valid_affine(d_world2grid, 3):
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 * 
 *     if not is_valid_affine(affine_idx_in, 2):
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 * 
 *     if not is_valid_affine(affine_idx_in, 3):
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 * 
 *     if not is_valid_affine(affine_idx_in, 3):
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 *     if not is_valid_affine(affine_idx_out, 3):
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 * 
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 * 
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 * 
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 */
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 * 
 * def downsample_scalar_field_2d(floating[:, :] field):             # <<<<<<<<<<<<<<
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 */
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 * 
 * 
 * def downsample_displacement_field_2d(floating[:, :, :] field):             # <<<<<<<<<<<<<<
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 * 
 * 
 * def warp_3d(floating[:, :, :] volume, floating[:, :, :, :] d1,             # <<<<<<<<<<<<<<
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 * 
 *     if not is_valid_affine(affine_idx_in, 3):
 *         raise ValueError("Invalid inner index multiplication matrix")             # <<<<<<<<<<<<<<
 *     if not is_valid_affine(affine_idx_out, 3):
 *         raise ValueError("Invalid outer index multiplication matrix")
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 *         raise ValueError("Invalid inner index multiplication matrix")
 *     if not is_valid_affine(affine_idx_out, 3):
 *         raise ValueError("Invalid outer index multiplication matrix")             # <<<<<<<<<<<<<<
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 *         raise ValueError("Invalid outer index multiplication matrix")
 *     if not is_valid_affine(affine_disp, 3):
 *         raise ValueError("Invalid displacement multiplication matrix")             # <<<<<<<<<<<<<<
 * 
 *     if out_shape is not None:
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 * 
 *     if not is_valid_affine(affine_idx_in, 3):
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 *         raise ValueError("Invalid inner index multiplication matrix")
 *     if not is_valid_affine(affine_idx_out, 3):
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 *     if not is_valid_affine(affine_disp, 3):
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 *         raise ValueError("Invalid outer index multiplication matrix")
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 *     if out_shape is not None:
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 *     cdef floating[:, :, :] warped = np.zeros(shape=(nslices, nrows, ncols),
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 * 
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 * 
 *     if not is_valid_affine(affine, 3):
 *         raise ValueError("Invalid affine transform matrix")             # <<<<<<<<<<<<<<
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 *     with nogil:
 */
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 * 
 * 
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 *     if not is_valid_affine(affine_idx_in, 3):
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 *         raise ValueError("Invalid inner index multiplication matrix")
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 *         raise ValueError("Invalid outer index multiplication matrix")
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 *     if out_shape is not None:
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 *     cdef number[:, :, :] warped = np.zeros(shape=(nslices, nrows, ncols),
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 *     cdef number[:, :, :] warped = np.zeros(shape=(nslices, nrows, ncols),
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 *     if not is_valid_affine(affine_idx_in, 3):
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 *     cdef number[:, :, :] warped = np.zeros(shape=(nslices, nrows, ncols),
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 *     if not is_valid_affine(affine_idx_in, 3):
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 *         raise ValueError("Invalid outer index multiplication matrix")
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 *     cdef number[:, :, :] warped = np.zeros(shape=(nslices, nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 3):
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 *         raise ValueError("Invalid inner index multiplication matrix")
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 *         raise ValueError("Invalid outer index multiplication matrix")
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 *     cdef number[:, :, :] warped = np.zeros(shape=(nslices, nrows, ncols),
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 *     if not is_valid_affine(affine_idx_in, 3):
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 *     cdef number[:, :, :] warped = np.zeros(shape=(nslices, nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 3):
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 *         raise ValueError("Invalid inner index multiplication matrix")
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 *         raise ValueError("Invalid outer index multiplication matrix")
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 *     cdef number[:, :, :] warped = np.zeros(shape=(nslices, nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 3):
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 *         raise ValueError("Invalid outer index multiplication matrix")
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 *     cdef number[:, :, :] warped = np.zeros(shape=(nslices, nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 3):
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 *         raise ValueError("Invalid inner index multiplication matrix")
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 *         raise ValueError("Invalid outer index multiplication matrix")
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 * 
 *     if out_shape is not None:
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 *     cdef number[:, :, :] warped = np.zeros(shape=(nslices, nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 3):
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 *         raise ValueError("Invalid inner index multiplication matrix")
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 *         raise ValueError("Invalid outer index multiplication matrix")             # <<<<<<<<<<<<<<
 *     if not is_valid_affine(affine_disp, 3):
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 *         raise ValueError("Invalid outer index multiplication matrix")
 *     if not is_valid_affine(affine_disp, 3):
 *         raise ValueError("Invalid displacement multiplication matrix")             # <<<<<<<<<<<<<<
 * 
 *     if out_shape is not None:
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 *     if not is_valid_affine(affine_idx_in, 3):
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 *     if not is_valid_affine(affine_idx_in, 3):
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 *         raise ValueError("Invalid inner index multiplication matrix")
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 *     cdef number[:, :, :] warped = np.zeros(shape=(nslices, nrows, ncols),
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 *         raise ValueError("Invalid inner index multiplication matrix")
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 *     cdef number[:, :, :] warped = np.zeros(shape=(nslices, nrows, ncols),
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 *     cdef number[:, :, :] warped = np.zeros(shape=(nslices, nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 2):
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 *         raise ValueError("Invalid inner index multiplication matrix")
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 * 
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 *     if not is_valid_affine(affine_idx_in, 2):
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 *     if not is_valid_affine(affine_idx_in, 2):
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 *     cdef number[:, :] warped = np.zeros(shape=(nrows, ncols),
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 *     if not is_valid_affine(affine_idx_in, 2):
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 *         raise ValueError("Invalid outer index multiplication matrix")
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 *     cdef number[:, :] warped = np.zeros(shape=(nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 2):
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 *         raise ValueError("Invalid inner index multiplication matrix")
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 *         raise ValueError("Invalid outer index multiplication matrix")
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 *     cdef number[:, :] warped = np.zeros(shape=(nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 2):
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 *         raise ValueError("Invalid outer index multiplication matrix")
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 *     cdef number[:, :] warped = np.zeros(shape=(nrows, ncols),
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 *     if not is_valid_affine(affine_idx_in, 2):
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 *         raise ValueError("Invalid outer index multiplication matrix")
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 * 
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 *     cdef number[:, :] warped = np.zeros(shape=(nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 2):
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 *         raise ValueError("Invalid outer index multiplication matrix")
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 *         raise ValueError("Invalid displacement multiplication matrix")             # <<<<<<<<<<<<<<
 * 
 *     if out_shape is not None:
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 *     cdef number[:, :] warped = np.zeros(shape=(nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 2):
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 *         raise ValueError("Invalid inner index multiplication matrix")
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 *         raise ValueError("Invalid outer index multiplication matrix")
 *     if not is_valid_affine(affine_disp, 2):
 *         raise ValueError("Invalid displacement multiplication matrix")             # <<<<<<<<<<<<<<
 * 
 *     if out_shape is not None:
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 *     cdef number[:, :] warped = np.zeros(shape=(nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 2):
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 *         raise ValueError("Invalid inner index multiplication matrix")
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 *         raise ValueError("Invalid outer index multiplication matrix")             # <<<<<<<<<<<<<<
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 *         raise ValueError("Invalid outer index multiplication matrix")
 *     if not is_valid_affine(affine_disp, 2):
 *         raise ValueError("Invalid displacement multiplication matrix")             # <<<<<<<<<<<<<<
 * 
 *     if out_shape is not None:
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 *     cdef number[:, :] warped = np.zeros(shape=(nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 2):
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 *         raise ValueError("Invalid inner index multiplication matrix")
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 *         raise ValueError("Invalid outer index multiplication matrix")
 *     if not is_valid_affine(affine_disp, 2):
 *         raise ValueError("Invalid displacement multiplication matrix")             # <<<<<<<<<<<<<<
 * 
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 *     cdef number[:, :] warped = np.zeros(shape=(nrows, ncols),
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 * 
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 *     cdef number[:, :] warped = np.zeros(shape=(nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 2):
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 *         raise ValueError("Invalid inner index multiplication matrix")
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 *     cdef number[:, :] warped = np.zeros(shape=(nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 2):
 *         raise ValueError("Invalid inner index multiplication matrix")             # <<<<<<<<<<<<<<
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 *         raise ValueError("Invalid inner index multiplication matrix")
 *     if not is_valid_affine(affine_idx_out, 2):
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 *         raise ValueError("Invalid outer index multiplication matrix")
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 *     cdef number[:, :] warped = np.zeros(shape=(nrows, ncols),
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 * 
 *     if not is_valid_affine(affine_idx_in, 2):
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 *         raise ValueError("Invalid inner index multiplication matrix")
 *     if not is_valid_affine(affine_idx_out, 2):
 *         raise ValueError("Invalid outer index multiplication matrix")             # <<<<<<<<<<<<<<
 *     if not is_valid_affine(affine_disp, 2):
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 *         raise ValueError("Invalid outer index multiplication matrix")
 *     if not is_valid_affine(affine_disp, 2):
 *         raise ValueError("Invalid displacement multiplication matrix")             # <<<<<<<<<<<<<<
 * 
 *     if out_shape is not None:
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 *     cdef number[:, :] warped = np.zeros(shape=(nrows, ncols),
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 * 
 * 
 * def transform_2d_affine_nn(number[:, :] image, int[:] ref_shape,             # <<<<<<<<<<<<<<
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 * 
 *     if not is_valid_affine(affine, 2):
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 * 
 * 
 * def resample_displacement_field_3d(floating[:, :, :, :] field,             # <<<<<<<<<<<<<<
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 */
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 * 
 * 
 * def resample_displacement_field_2d(floating[:, :, :] field, double[:] factors,             # <<<<<<<<<<<<<<
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 */
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  /* "dipy/align/vector_fields.pyx":2743
 *         cnp.npy_intp i, j, ri, rj
 *         double di, dj, dii, djj
 *         int[:, :, :] int_field = np.empty(tuple(from_shape) + (2,),             # <<<<<<<<<<<<<<
 *                                             dtype=np.int32)
 *         double[:, :, :] output = np.zeros(tuple(from_shape) + (2,),
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 *         int[:, :, :] int_field = np.empty(tuple(from_shape) + (2,),
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 *         double[:, :, :] output = np.zeros(tuple(from_shape) + (2,),             # <<<<<<<<<<<<<<
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 * 
 *     if not is_valid_affine(from_grid2world, 2):
 *         raise ValueError("Invalid 'from' affine transform matrix")             # <<<<<<<<<<<<<<
 *     if not is_valid_affine(to_grid2world, 2):
 *         raise ValueError("Invalid 'to' affine transform matrix")
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 *         raise ValueError("Invalid 'from' affine transform matrix")
 *     if not is_valid_affine(to_grid2world, 2):
 *         raise ValueError("Invalid 'to' affine transform matrix")             # <<<<<<<<<<<<<<
 * 
 *     # compute the actual displacement field in the physical space
 */
  __pyx_tuple__326 = PyTuple_Pack(1, __pyx_kp_s_Invalid_to_affine_transform_matr); if (unlikely(!__pyx_tuple__326)) __PYX_ERR(0, 2752, __pyx_L1_error)
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  /* "dipy/align/vector_fields.pyx":2823
 *         cnp.npy_intp i, j, k, ri, rj, rk
 *         double di, dj, dk, dii, djj, dkk
 *         int[:, :, :, :] int_field = np.empty(tuple(from_shape) + (3,),             # <<<<<<<<<<<<<<
 *                                                dtype=np.int32)
 *         double[:, :, :, :] output = np.zeros(tuple(from_shape) + (3,),
 */
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 *         int[:, :, :, :] int_field = np.empty(tuple(from_shape) + (3,),
 *                                                dtype=np.int32)
 *         double[:, :, :, :] output = np.zeros(tuple(from_shape) + (3,),             # <<<<<<<<<<<<<<
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 *         cnp.npy_intp dom_size = from_shape[0]*from_shape[1]*from_shape[2]
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 * 
 *     if not is_valid_affine(from_grid2world, 3):
 *         raise ValueError("Invalid 'from' affine transform matrix")             # <<<<<<<<<<<<<<
 *     if not is_valid_affine(to_grid2world, 3):
 *         raise ValueError("Invalid 'to' affine transform matrix")
 */
  __pyx_tuple__329 = PyTuple_Pack(1, __pyx_kp_s_Invalid_from_affine_transform_ma); if (unlikely(!__pyx_tuple__329)) __PYX_ERR(0, 2830, __pyx_L1_error)
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  /* "dipy/align/vector_fields.pyx":2832
 *         raise ValueError("Invalid 'from' affine transform matrix")
 *     if not is_valid_affine(to_grid2world, 3):
 *         raise ValueError("Invalid 'to' affine transform matrix")             # <<<<<<<<<<<<<<
 * 
 *     # compute the actual displacement field in the physical space
 */
  __pyx_tuple__330 = PyTuple_Pack(1, __pyx_kp_s_Invalid_to_affine_transform_matr); if (unlikely(!__pyx_tuple__330)) __PYX_ERR(0, 2832, __pyx_L1_error)
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  /* "dipy/align/vector_fields.pyx":3066
 * 
 * 
 * def _gradient_3d(floating[:, :, :] img, double[:, :] img_world2grid,             # <<<<<<<<<<<<<<
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 *                  floating[:, :, :, :] out, int[:, :, :] inside):
 */
  __pyx_tuple__331 = PyTuple_Pack(1, __pyx_kp_s__3); if (unlikely(!__pyx_tuple__331)) __PYX_ERR(0, 3066, __pyx_L1_error)
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  /* "dipy/align/vector_fields.pyx":3432
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 * 
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 * 
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 * 
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 * 
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 * 
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 * 
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 * 
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 * 
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    case 'B': return "'unsigned char'";
    case 'h': return "'short'";
    case 'H': return "'unsigned short'";
    case 'i': return "'int'";
    case 'I': return "'unsigned int'";
    case 'l': return "'long'";
    case 'L': return "'unsigned long'";
    case 'q': return "'long long'";
    case 'Q': return "'unsigned long long'";
    case 'f': return (is_complex ? "'complex float'" : "'float'");
    case 'd': return (is_complex ? "'complex double'" : "'double'");
    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
    case 'T': return "a struct";
    case 'O': return "Python object";
    case 'P': return "a pointer";
    case 's': case 'p': return "a string";
    case 0: return "end";
    default: return "unparseable format string";
  }
}
static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return 2;
    case 'i': case 'I': case 'l': case 'L': return 4;
    case 'q': case 'Q': return 8;
    case 'f': return (is_complex ? 8 : 4);
    case 'd': return (is_complex ? 16 : 8);
    case 'g': {
      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
      return 0;
    }
    case 'O': case 'P': return sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
  switch (ch) {
    case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(short);
    case 'i': case 'I': return sizeof(int);
    case 'l': case 'L': return sizeof(long);
    #ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
    #endif
    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
    case 'O': case 'P': return sizeof(void*);
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
typedef struct { char c; short x; } __Pyx_st_short;
typedef struct { char c; int x; } __Pyx_st_int;
typedef struct { char c; long x; } __Pyx_st_long;
typedef struct { char c; float x; } __Pyx_st_float;
typedef struct { char c; double x; } __Pyx_st_double;
typedef struct { char c; long double x; } __Pyx_st_longdouble;
typedef struct { char c; void *x; } __Pyx_st_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
/* These are for computing the padding at the end of the struct to align
   on the first member of the struct. This will probably the same as above,
   but we don't have any guarantees.
 */
typedef struct { short x; char c; } __Pyx_pad_short;
typedef struct { int x; char c; } __Pyx_pad_int;
typedef struct { long x; char c; } __Pyx_pad_long;
typedef struct { float x; char c; } __Pyx_pad_float;
typedef struct { double x; char c; } __Pyx_pad_double;
typedef struct { long double x; char c; } __Pyx_pad_longdouble;
typedef struct { void *x; char c; } __Pyx_pad_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
  switch (ch) {
    case 'c':
        return 'H';
    case 'b': case 'h': case 'i':
    case 'l': case 'q': case 's': case 'p':
        return 'I';
    case 'B': case 'H': case 'I': case 'L': case 'Q':
        return 'U';
    case 'f': case 'd': case 'g':
        return (is_complex ? 'C' : 'R');
    case 'O':
        return 'O';
    case 'P':
        return 'P';
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
    const char* expected;
    const char* quote;
    if (ctx->head == NULL) {
      expected = "end";
      quote = "";
    } else {
      expected = ctx->head->field->type->name;
      quote = "'";
    }
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected %s%s%s but got %s",
                 quote, expected, quote,
                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
  } else {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_StructField* parent = (ctx->head - 1)->field;
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                 parent->type->name, field->name);
  }
}
static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
  char group;
  size_t size, offset, arraysize = 1;
  if (ctx->enc_type == 0) return 0;
  if (ctx->head->field->type->arraysize[0]) {
    int i, ndim = 0;
    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
        ndim = 1;
        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
            PyErr_Format(PyExc_ValueError,
                         "Expected a dimension of size %zu, got %zu",
                         ctx->head->field->type->arraysize[0], ctx->enc_count);
            return -1;
        }
    }
    if (!ctx->is_valid_array) {
      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                   ctx->head->field->type->ndim, ndim);
      return -1;
    }
    for (i = 0; i < ctx->head->field->type->ndim; i++) {
      arraysize *= ctx->head->field->type->arraysize[i];
    }
    ctx->is_valid_array = 0;
    ctx->enc_count = 1;
  }
  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
  do {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_TypeInfo* type = field->type;
    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
    } else {
      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
    }
    if (ctx->enc_packmode == '@') {
      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
      size_t align_mod_offset;
      if (align_at == 0) return -1;
      align_mod_offset = ctx->fmt_offset % align_at;
      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
      if (ctx->struct_alignment == 0)
          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                 ctx->is_complex);
    }
    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }
      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
      } else {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
      }
    }
    offset = ctx->head->parent_offset + field->offset;
    if (ctx->fmt_offset != offset) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
      return -1;
    }
    ctx->fmt_offset += size;
    if (arraysize)
      ctx->fmt_offset += (arraysize - 1) * size;
    --ctx->enc_count;
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break;
      }
      ctx->head->field = ++field;
      if (field->type == NULL) {
        --ctx->head;
        field = ctx->head->field;
        continue;
      } else if (field->type->typegroup == 'S') {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        if (field->type->fields->type == NULL) continue;
        field = field->type->fields;
        ++ctx->head;
        ctx->head->field = field;
        ctx->head->parent_offset = parent_offset;
        break;
      } else {
        break;
      }
    }
  } while (ctx->enc_count);
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  return 0;
}
static CYTHON_INLINE PyObject *
__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
{
    const char *ts = *tsp;
    int i = 0, number;
    int ndim = ctx->head->field->type->ndim;
;
    ++ts;
    if (ctx->new_count != 1) {
        PyErr_SetString(PyExc_ValueError,
                        "Cannot handle repeated arrays in format string");
        return NULL;
    }
    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
    while (*ts && *ts != ')') {
        switch (*ts) {
            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
            default:  break;
        }
        number = __Pyx_BufFmt_ExpectNumber(&ts);
        if (number == -1) return NULL;
        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
            return PyErr_Format(PyExc_ValueError,
                        "Expected a dimension of size %zu, got %d",
                        ctx->head->field->type->arraysize[i], number);
        if (*ts != ',' && *ts != ')')
            return PyErr_Format(PyExc_ValueError,
                                "Expected a comma in format string, got '%c'", *ts);
        if (*ts == ',') ts++;
        i++;
    }
    if (i != ndim)
        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
                            ctx->head->field->type->ndim, i);
    if (!*ts) {
        PyErr_SetString(PyExc_ValueError,
                        "Unexpected end of format string, expected ')'");
        return NULL;
    }
    ctx->is_valid_array = 1;
    ctx->new_count = 1;
    *tsp = ++ts;
    return Py_None;
}
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
  int got_Z = 0;
  while (1) {
    switch(*ts) {
      case 0:
        if (ctx->enc_type != 0 && ctx->head == NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        if (ctx->head != NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        return ts;
      case ' ':
      case '\r':
      case '\n':
        ++ts;
        break;
      case '<':
        if (!__Pyx_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '=':
      case '@':
      case '^':
        ctx->new_packmode = *ts++;
        break;
      case 'T':
        {
          const char* ts_after_sub;
          size_t i, struct_count = ctx->new_count;
          size_t struct_alignment = ctx->struct_alignment;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          ctx->enc_count = 0;
          ctx->struct_alignment = 0;
          ++ts;
          ts_after_sub = ts;
          for (i = 0; i != struct_count; ++i) {
            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
            if (!ts_after_sub) return NULL;
          }
          ts = ts_after_sub;
          if (struct_alignment) ctx->struct_alignment = struct_alignment;
        }
        break;
      case '}':
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          if (alignment && ctx->fmt_offset % alignment) {
            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
          }
        }
        return ts;
      case 'x':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->fmt_offset += ctx->new_count;
        ctx->new_count = 1;
        ctx->enc_count = 0;
        ctx->enc_type = 0;
        ctx->enc_packmode = ctx->new_packmode;
        ++ts;
        break;
      case 'Z':
        got_Z = 1;
        ++ts;
        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
          return NULL;
        }
      case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
      case 'l': case 'L': case 'q': case 'Q':
      case 'f': case 'd': case 'g':
      case 'O': case 'p':
        if (ctx->enc_type == *ts && got_Z == ctx->is_complex &&
            ctx->enc_packmode == ctx->new_packmode) {
          ctx->enc_count += ctx->new_count;
          ctx->new_count = 1;
          got_Z = 0;
          ++ts;
          break;
        }
      case 's':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->enc_count = ctx->new_count;
        ctx->enc_packmode = ctx->new_packmode;
        ctx->enc_type = *ts;
        ctx->is_complex = got_Z;
        ++ts;
        ctx->new_count = 1;
        got_Z = 0;
        break;
      case ':':
        ++ts;
        while(*ts != ':') ++ts;
        ++ts;
        break;
      case '(':
        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
        break;
      default:
        {
          int number = __Pyx_BufFmt_ExpectNumber(&ts);
          if (number == -1) return NULL;
          ctx->new_count = (size_t)number;
        }
    }
  }
}
static CYTHON_INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) {
  buf->buf = NULL;
  buf->obj = NULL;
  buf->strides = __Pyx_zeros;
  buf->shape = __Pyx_zeros;
  buf->suboffsets = __Pyx_minusones;
}
static CYTHON_INLINE int __Pyx_GetBufferAndValidate(
        Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
        int nd, int cast, __Pyx_BufFmt_StackElem* stack)
{
  if (obj == Py_None || obj == NULL) {
    __Pyx_ZeroBuffer(buf);
    return 0;
  }
  buf->buf = NULL;
  if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail;
  if (buf->ndim != nd) {
    PyErr_Format(PyExc_ValueError,
                 "Buffer has wrong number of dimensions (expected %d, got %d)",
                 nd, buf->ndim);
    goto fail;
  }
  if (!cast) {
    __Pyx_BufFmt_Context ctx;
    __Pyx_BufFmt_Init(&ctx, stack, dtype);
    if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
  }
  if ((unsigned)buf->itemsize != dtype->size) {
    PyErr_Format(PyExc_ValueError,
      "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",
      buf->itemsize, (buf->itemsize > 1) ? "s" : "",
      dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
    goto fail;
  }
  if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
  return 0;
fail:;
  __Pyx_ZeroBuffer(buf);
  return -1;
}
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (info->buf == NULL) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}

/* MemviewSliceInit */
    static int
__Pyx_init_memviewslice(struct __pyx_memoryview_obj *memview,
                        int ndim,
                        __Pyx_memviewslice *memviewslice,
                        int memview_is_new_reference)
{
    __Pyx_RefNannyDeclarations
    int i, retval=-1;
    Py_buffer *buf = &memview->view;
    __Pyx_RefNannySetupContext("init_memviewslice", 0);
    if (!buf) {
        PyErr_SetString(PyExc_ValueError,
            "buf is NULL.");
        goto fail;
    } else if (memviewslice->memview || memviewslice->data) {
        PyErr_SetString(PyExc_ValueError,
            "memviewslice is already initialized!");
        goto fail;
    }
    if (buf->strides) {
        for (i = 0; i < ndim; i++) {
            memviewslice->strides[i] = buf->strides[i];
        }
    } else {
        Py_ssize_t stride = buf->itemsize;
        for (i = ndim - 1; i >= 0; i--) {
            memviewslice->strides[i] = stride;
            stride *= buf->shape[i];
        }
    }
    for (i = 0; i < ndim; i++) {
        memviewslice->shape[i]   = buf->shape[i];
        if (buf->suboffsets) {
            memviewslice->suboffsets[i] = buf->suboffsets[i];
        } else {
            memviewslice->suboffsets[i] = -1;
        }
    }
    memviewslice->memview = memview;
    memviewslice->data = (char *)buf->buf;
    if (__pyx_add_acquisition_count(memview) == 0 && !memview_is_new_reference) {
        Py_INCREF(memview);
    }
    retval = 0;
    goto no_fail;
fail:
    memviewslice->memview = 0;
    memviewslice->data = 0;
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}
static CYTHON_INLINE void __pyx_fatalerror(const char *fmt, ...) {
    va_list vargs;
    char msg[200];
#ifdef HAVE_STDARG_PROTOTYPES
    va_start(vargs, fmt);
#else
    va_start(vargs);
#endif
    vsnprintf(msg, 200, fmt, vargs);
    Py_FatalError(msg);
    va_end(vargs);
}
static CYTHON_INLINE int
__pyx_add_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)++;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE int
__pyx_sub_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)--;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE void
__Pyx_INC_MEMVIEW(__Pyx_memviewslice *memslice, int have_gil, int lineno)
{
    int first_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (!memview || (PyObject *) memview == Py_None)
        return;
    if (__pyx_get_slice_count(memview) < 0)
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    first_time = __pyx_add_acquisition_count(memview) == 0;
    if (first_time) {
        if (have_gil) {
            Py_INCREF((PyObject *) memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_INCREF((PyObject *) memview);
            PyGILState_Release(_gilstate);
        }
    }
}
static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *memslice,
                                             int have_gil, int lineno) {
    int last_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (!memview ) {
        return;
    } else if ((PyObject *) memview == Py_None) {
        memslice->memview = NULL;
        return;
    }
    if (__pyx_get_slice_count(memview) <= 0)
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    last_time = __pyx_sub_acquisition_count(memview) == 1;
    memslice->data = NULL;
    if (last_time) {
        if (have_gil) {
            Py_CLEAR(memslice->memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_CLEAR(memslice->memview);
            PyGILState_Release(_gilstate);
        }
    } else {
        memslice->memview = NULL;
    }
}

/* PyErrFetchRestore */
    #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
}
#endif

/* RaiseException */
    #if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    __Pyx_PyThreadState_declare
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
#if PY_VERSION_HEX >= 0x03030000
    if (cause) {
#else
    if (cause && cause != Py_None) {
#endif
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = PyThreadState_GET();
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* UnicodeAsUCS4 */
      static CYTHON_INLINE Py_UCS4 __Pyx_PyUnicode_AsPy_UCS4(PyObject* x) {
   Py_ssize_t length;
   #if CYTHON_PEP393_ENABLED
   length = PyUnicode_GET_LENGTH(x);
   if (likely(length == 1)) {
       return PyUnicode_READ_CHAR(x, 0);
   }
   #else
   length = PyUnicode_GET_SIZE(x);
   if (likely(length == 1)) {
       return PyUnicode_AS_UNICODE(x)[0];
   }
   #if Py_UNICODE_SIZE == 2
   else if (PyUnicode_GET_SIZE(x) == 2) {
       Py_UCS4 high_val = PyUnicode_AS_UNICODE(x)[0];
       if (high_val >= 0xD800 && high_val <= 0xDBFF) {
           Py_UCS4 low_val = PyUnicode_AS_UNICODE(x)[1];
           if (low_val >= 0xDC00 && low_val <= 0xDFFF) {
               return 0x10000 + (((high_val & ((1<<10)-1)) << 10) | (low_val & ((1<<10)-1)));
           }
       }
   }
   #endif
   #endif
   PyErr_Format(PyExc_ValueError,
                "only single character unicode strings can be converted to Py_UCS4, "
                "got length %" CYTHON_FORMAT_SSIZE_T "d", length);
   return (Py_UCS4)-1;
}

/* object_ord */
      static long __Pyx__PyObject_Ord(PyObject* c) {
    Py_ssize_t size;
    if (PyBytes_Check(c)) {
        size = PyBytes_GET_SIZE(c);
        if (likely(size == 1)) {
            return (unsigned char) PyBytes_AS_STRING(c)[0];
        }
#if PY_MAJOR_VERSION < 3
    } else if (PyUnicode_Check(c)) {
        return (long)__Pyx_PyUnicode_AsPy_UCS4(c);
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    } else if (PyByteArray_Check(c)) {
        size = PyByteArray_GET_SIZE(c);
        if (likely(size == 1)) {
            return (unsigned char) PyByteArray_AS_STRING(c)[0];
        }
#endif
    } else {
        PyErr_Format(PyExc_TypeError,
            "ord() expected string of length 1, but %.200s found", c->ob_type->tp_name);
        return (long)(Py_UCS4)-1;
    }
    PyErr_Format(PyExc_TypeError,
        "ord() expected a character, but string of length %zd found", size);
    return (long)(Py_UCS4)-1;
}

/* BytesEquals */
      static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

/* UnicodeEquals */
      static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
        #if CYTHON_PEP393_ENABLED
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
        #else
            hash1 = ((PyUnicodeObject*)s1)->hash;
            hash2 = ((PyUnicodeObject*)s2)->hash;
        #endif
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

/* RaiseTooManyValuesToUnpack */
      static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

/* RaiseNeedMoreValuesToUnpack */
      static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

/* IterFinish */
      static CYTHON_INLINE int __Pyx_IterFinish(void) {
#if CYTHON_FAST_THREAD_STATE
    PyThreadState *tstate = PyThreadState_GET();
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(exc_type == PyExc_StopIteration) || PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)) {
            PyObject *exc_value, *exc_tb;
            exc_value = tstate->curexc_value;
            exc_tb = tstate->curexc_traceback;
            tstate->curexc_type = 0;
            tstate->curexc_value = 0;
            tstate->curexc_traceback = 0;
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#else
    if (unlikely(PyErr_Occurred())) {
        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
            PyErr_Clear();
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#endif
}

/* UnpackItemEndCheck */
      static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    } else {
        return __Pyx_IterFinish();
    }
    return 0;
}

/* SetItemInt */
      static CYTHON_INLINE int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (!j) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v, int is_list,
                                               CYTHON_NCP_UNUSED int wraparound, CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((!boundscheck) || likely((n >= 0) & (n < PyList_GET_SIZE(o)))) {
            PyObject* old = PyList_GET_ITEM(o, n);
            Py_INCREF(v);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 1;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_ass_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return -1;
                    PyErr_Clear();
                }
            }
            return m->sq_ass_item(o, i, v);
        }
    }
#else
#if CYTHON_COMPILING_IN_PYPY
    if (is_list || (PySequence_Check(o) && !PyDict_Check(o))) {
#else
    if (is_list || PySequence_Check(o)) {
#endif
        return PySequence_SetItem(o, i, v);
    }
#endif
    return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(i), v);
}

/* PyObjectCallNoArg */
        #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, NULL, 0);
    }
#endif
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

/* PyObjectCallMethod0 */
          static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
    PyObject *method, *result = NULL;
    method = __Pyx_PyObject_GetAttrStr(obj, method_name);
    if (unlikely(!method)) goto bad;
#if CYTHON_UNPACK_METHODS
    if (likely(PyMethod_Check(method))) {
        PyObject *self = PyMethod_GET_SELF(method);
        if (likely(self)) {
            PyObject *function = PyMethod_GET_FUNCTION(method);
            result = __Pyx_PyObject_CallOneArg(function, self);
            Py_DECREF(method);
            return result;
        }
    }
#endif
    result = __Pyx_PyObject_CallNoArg(method);
    Py_DECREF(method);
bad:
    return result;
}

/* RaiseNoneIterError */
          static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}

/* UnpackTupleError */
          static void __Pyx_UnpackTupleError(PyObject *t, Py_ssize_t index) {
    if (t == Py_None) {
      __Pyx_RaiseNoneNotIterableError();
    } else if (PyTuple_GET_SIZE(t) < index) {
      __Pyx_RaiseNeedMoreValuesError(PyTuple_GET_SIZE(t));
    } else {
      __Pyx_RaiseTooManyValuesError(index);
    }
}

/* UnpackTuple2 */
          static CYTHON_INLINE int __Pyx_unpack_tuple2(PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2,
                                             int is_tuple, int has_known_size, int decref_tuple) {
    Py_ssize_t index;
    PyObject *value1 = NULL, *value2 = NULL, *iter = NULL;
    if (!is_tuple && unlikely(!PyTuple_Check(tuple))) {
        iternextfunc iternext;
        iter = PyObject_GetIter(tuple);
        if (unlikely(!iter)) goto bad;
        if (decref_tuple) { Py_DECREF(tuple); tuple = NULL; }
        iternext = Py_TYPE(iter)->tp_iternext;
        value1 = iternext(iter); if (unlikely(!value1)) { index = 0; goto unpacking_failed; }
        value2 = iternext(iter); if (unlikely(!value2)) { index = 1; goto unpacking_failed; }
        if (!has_known_size && unlikely(__Pyx_IternextUnpackEndCheck(iternext(iter), 2))) goto bad;
        Py_DECREF(iter);
    } else {
        if (!has_known_size && unlikely(PyTuple_GET_SIZE(tuple) != 2)) {
            __Pyx_UnpackTupleError(tuple, 2);
            goto bad;
        }
#if CYTHON_COMPILING_IN_PYPY
        value1 = PySequence_ITEM(tuple, 0);
        if (unlikely(!value1)) goto bad;
        value2 = PySequence_ITEM(tuple, 1);
        if (unlikely(!value2)) goto bad;
#else
        value1 = PyTuple_GET_ITEM(tuple, 0);
        value2 = PyTuple_GET_ITEM(tuple, 1);
        Py_INCREF(value1);
        Py_INCREF(value2);
#endif
        if (decref_tuple) { Py_DECREF(tuple); }
    }
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
unpacking_failed:
    if (!has_known_size && __Pyx_IterFinish() == 0)
        __Pyx_RaiseNeedMoreValuesError(index);
bad:
    Py_XDECREF(iter);
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
}

/* dict_iter */
          static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* iterable, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_source_is_dict) {
    is_dict = is_dict || likely(PyDict_CheckExact(iterable));
    *p_source_is_dict = is_dict;
    if (is_dict) {
#if !CYTHON_COMPILING_IN_PYPY
        *p_orig_length = PyDict_Size(iterable);
        Py_INCREF(iterable);
        return iterable;
#elif PY_MAJOR_VERSION >= 3
        static PyObject *py_items = NULL, *py_keys = NULL, *py_values = NULL;
        const char *name = PyUnicode_AsUTF8(method_name);
        PyObject **pp = NULL;
        if (strcmp(name, "iteritems") == 0) pp = &py_items;
        else if (strcmp(name, "iterkeys") == 0) pp = &py_keys;
        else if (strcmp(name, "itervalues") == 0) pp = &py_values;
        if (pp) {
            if (!*pp) {
                *pp = PyUnicode_FromString(name + 4);
                if (!*pp)
                    return NULL;
            }
            method_name = *pp;
        }
#endif
    }
    *p_orig_length = 0;
    if (method_name) {
        PyObject* iter;
        iterable = __Pyx_PyObject_CallMethod0(iterable, method_name);
        if (!iterable)
            return NULL;
#if !CYTHON_COMPILING_IN_PYPY
        if (PyTuple_CheckExact(iterable) || PyList_CheckExact(iterable))
            return iterable;
#endif
        iter = PyObject_GetIter(iterable);
        Py_DECREF(iterable);
        return iter;
    }
    return PyObject_GetIter(iterable);
}
static CYTHON_INLINE int __Pyx_dict_iter_next(
        PyObject* iter_obj, CYTHON_NCP_UNUSED Py_ssize_t orig_length, CYTHON_NCP_UNUSED Py_ssize_t* ppos,
        PyObject** pkey, PyObject** pvalue, PyObject** pitem, int source_is_dict) {
    PyObject* next_item;
#if !CYTHON_COMPILING_IN_PYPY
    if (source_is_dict) {
        PyObject *key, *value;
        if (unlikely(orig_length != PyDict_Size(iter_obj))) {
            PyErr_SetString(PyExc_RuntimeError, "dictionary changed size during iteration");
            return -1;
        }
        if (unlikely(!PyDict_Next(iter_obj, ppos, &key, &value))) {
            return 0;
        }
        if (pitem) {
            PyObject* tuple = PyTuple_New(2);
            if (unlikely(!tuple)) {
                return -1;
            }
            Py_INCREF(key);
            Py_INCREF(value);
            PyTuple_SET_ITEM(tuple, 0, key);
            PyTuple_SET_ITEM(tuple, 1, value);
            *pitem = tuple;
        } else {
            if (pkey) {
                Py_INCREF(key);
                *pkey = key;
            }
            if (pvalue) {
                Py_INCREF(value);
                *pvalue = value;
            }
        }
        return 1;
    } else if (PyTuple_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyTuple_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyTuple_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else if (PyList_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyList_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyList_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else
#endif
    {
        next_item = PyIter_Next(iter_obj);
        if (unlikely(!next_item)) {
            return __Pyx_IterFinish();
        }
    }
    if (pitem) {
        *pitem = next_item;
    } else if (pkey && pvalue) {
        if (__Pyx_unpack_tuple2(next_item, pkey, pvalue, source_is_dict, source_is_dict, 1))
            return -1;
    } else if (pkey) {
        *pkey = next_item;
    } else {
        *pvalue = next_item;
    }
    return 1;
}

/* GetItemInt */
          static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (!j) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyList_GET_SIZE(o);
    }
    if ((!boundscheck) || likely((0 <= wrapped_i) & (wrapped_i < PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyTuple_GET_SIZE(o);
    }
    if ((!boundscheck) || likely((0 <= wrapped_i) & (wrapped_i < PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely((n >= 0) & (n < PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely((n >= 0) & (n < PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return m->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

/* ExtTypeTest */
          static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(PyObject_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

/* SaveResetException */
          #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
#endif

/* PyErrExceptionMatches */
          #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    PyObject *exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
    return PyErr_GivenExceptionMatches(exc_type, err);
}
#endif

/* GetException */
          #if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) {
#endif
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

/* ArgTypeTest */
            static void __Pyx_RaiseArgumentTypeInvalid(const char* name, PyObject *obj, PyTypeObject *type) {
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
}
static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (none_allowed && obj == Py_None) return 1;
    else if (exact) {
        if (likely(Py_TYPE(obj) == type)) return 1;
        #if PY_MAJOR_VERSION == 2
        else if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(PyObject_TypeCheck(obj, type))) return 1;
    }
    __Pyx_RaiseArgumentTypeInvalid(name, obj, type);
    return 0;
}

/* GetAttr */
            static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_COMPILING_IN_CPYTHON
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}

/* decode_c_string */
            static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
    Py_ssize_t length;
    if (unlikely((start < 0) | (stop < 0))) {
        size_t slen = strlen(cstring);
        if (unlikely(slen > (size_t) PY_SSIZE_T_MAX)) {
            PyErr_SetString(PyExc_OverflowError,
                            "c-string too long to convert to Python");
            return NULL;
        }
        length = (Py_ssize_t) slen;
        if (start < 0) {
            start += length;
            if (start < 0)
                start = 0;
        }
        if (stop < 0)
            stop += length;
    }
    length = stop - start;
    if (unlikely(length <= 0))
        return PyUnicode_FromUnicode(NULL, 0);
    cstring += start;
    if (decode_func) {
        return decode_func(cstring, length, errors);
    } else {
        return PyUnicode_Decode(cstring, length, encoding, errors);
    }
}

/* GetAttr3 */
            static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r = __Pyx_GetAttr(o, n);
    if (unlikely(!r)) {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError))
            goto bad;
        PyErr_Clear();
        r = d;
        Py_INCREF(d);
    }
    return r;
bad:
    return NULL;
}

/* SwapException */
            #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* Import */
            static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_VERSION_HEX < 0x03030000
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.')) {
                #if PY_VERSION_HEX < 0x03030000
                PyObject *py_level = PyInt_FromLong(1);
                if (!py_level)
                    goto bad;
                module = PyObject_CallFunctionObjArgs(py_import,
                    name, global_dict, empty_dict, list, py_level, NULL);
                Py_DECREF(py_level);
                #else
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                #endif
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_VERSION_HEX < 0x03030000
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_VERSION_HEX < 0x03030000
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

/* PyIntBinop */
            #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a + b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

/* None */
            static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}

/* WriteUnraisableException */
            static void __Pyx_WriteUnraisable(const char *name, CYTHON_UNUSED int clineno,
                                  CYTHON_UNUSED int lineno, CYTHON_UNUSED const char *filename,
                                  int full_traceback, CYTHON_UNUSED int nogil) {
    PyObject *old_exc, *old_val, *old_tb;
    PyObject *ctx;
    __Pyx_PyThreadState_declare
#ifdef WITH_THREAD
    PyGILState_STATE state;
    if (nogil)
        state = PyGILState_Ensure();
#ifdef _MSC_VER
    else state = (PyGILState_STATE)-1;
#endif
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
    if (full_traceback) {
        Py_XINCREF(old_exc);
        Py_XINCREF(old_val);
        Py_XINCREF(old_tb);
        __Pyx_ErrRestore(old_exc, old_val, old_tb);
        PyErr_PrintEx(1);
    }
    #if PY_MAJOR_VERSION < 3
    ctx = PyString_FromString(name);
    #else
    ctx = PyUnicode_FromString(name);
    #endif
    __Pyx_ErrRestore(old_exc, old_val, old_tb);
    if (!ctx) {
        PyErr_WriteUnraisable(Py_None);
    } else {
        PyErr_WriteUnraisable(ctx);
        Py_DECREF(ctx);
    }
#ifdef WITH_THREAD
    if (nogil)
        PyGILState_Release(state);
#endif
}

/* ImportFrom */
            static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

/* HasAttr */
            static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_GetAttr(o, n);
    if (unlikely(!r)) {
        PyErr_Clear();
        return 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}

/* SetVTable */
            static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
#if PY_VERSION_HEX >= 0x02070000
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
#else
    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
#endif
    if (!ob)
        goto bad;
    if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

/* SetupReduce */
            static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name_2);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto GOOD;
#else
    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto GOOD;
#endif
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto BAD;
    if (reduce_ex == object_reduce_ex) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_cython); if (unlikely(!reduce_cython)) goto BAD;
            ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto BAD;
            ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto BAD;
            setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate_cython); if (unlikely(!setstate_cython)) goto BAD;
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto BAD;
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto GOOD;
BAD:
    if (!PyErr_Occurred())
        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
    ret = -1;
GOOD:
#if !CYTHON_COMPILING_IN_CPYTHON
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}

/* FetchCommonType */
            static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* fake_module;
    PyTypeObject* cached_type = NULL;
    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
    if (!fake_module) return NULL;
    Py_INCREF(fake_module);
    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
    if (cached_type) {
        if (!PyType_Check((PyObject*)cached_type)) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s is not a type object",
                type->tp_name);
            goto bad;
        }
        if (cached_type->tp_basicsize != type->tp_basicsize) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s has the wrong size, try recompiling",
                type->tp_name);
            goto bad;
        }
    } else {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
        PyErr_Clear();
        if (PyType_Ready(type) < 0) goto bad;
        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
            goto bad;
        Py_INCREF(type);
        cached_type = type;
    }
done:
    Py_DECREF(fake_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

/* CythonFunction */
            static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (unlikely(op->func_doc == NULL)) {
        if (op->func.m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp = op->func_doc;
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    op->func_doc = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(op->func.m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
#else
    if (unlikely(value == NULL || !PyString_Check(value))) {
#endif
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    tmp = op->func_name;
    Py_INCREF(value);
    op->func_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
#else
    if (unlikely(value == NULL || !PyString_Check(value))) {
#endif
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    tmp = op->func_qualname;
    Py_INCREF(value);
    op->func_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
{
    PyObject *self;
    self = m->func_closure;
    if (self == NULL)
        self = Py_None;
    Py_INCREF(self);
    return self;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp;
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    tmp = op->func_dict;
    Py_INCREF(value);
    op->func_dict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyTuple_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_tuple;
    op->defaults_tuple = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_kwdict;
    op->defaults_kwdict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value || value == Py_None) {
        value = NULL;
    } else if (!PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    tmp = op->func_annotations;
    op->func_annotations = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(__pyx_CyFunctionObject, func.m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromString(m->func.m_ml->ml_name);
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    __pyx_CyFunctionObject *op = PyObject_GC_New(__pyx_CyFunctionObject, type);
    if (op == NULL)
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    PyObject_GC_Track(op);
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
    return __Pyx_PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0 = PySequence_ITEM(arg, 0);
                if (unlikely(!arg0)) return NULL;
                result = (*meth)(self, arg0);
                Py_DECREF(arg0);
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        argc = PyTuple_GET_SIZE(args);
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_CyFunction_descr_get,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
};
static int __pyx_CyFunction_init(void) {
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    if (__pyx_CyFunctionType == NULL) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (!m->defaults)
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* FusedFunction */
                static PyObject *
__pyx_FusedFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags,
                        PyObject *qualname, PyObject *self,
                        PyObject *module, PyObject *globals,
                        PyObject *code)
{
    __pyx_FusedFunctionObject *fusedfunc =
        (__pyx_FusedFunctionObject *) __Pyx_CyFunction_New(type, ml, flags, qualname,
                                                           self, module, globals, code);
    if (!fusedfunc)
        return NULL;
    fusedfunc->__signatures__ = NULL;
    fusedfunc->type = NULL;
    fusedfunc->self = NULL;
    return (PyObject *) fusedfunc;
}
static void __pyx_FusedFunction_dealloc(__pyx_FusedFunctionObject *self) {
    __pyx_FusedFunction_clear(self);
    __pyx_FusedFunctionType->tp_free((PyObject *) self);
}
static int
__pyx_FusedFunction_traverse(__pyx_FusedFunctionObject *self,
                             visitproc visit,
                             void *arg)
{
    Py_VISIT(self->self);
    Py_VISIT(self->type);
    Py_VISIT(self->__signatures__);
    return __Pyx_CyFunction_traverse((__pyx_CyFunctionObject *) self, visit, arg);
}
static int
__pyx_FusedFunction_clear(__pyx_FusedFunctionObject *self)
{
    Py_CLEAR(self->self);
    Py_CLEAR(self->type);
    Py_CLEAR(self->__signatures__);
    return __Pyx_CyFunction_clear((__pyx_CyFunctionObject *) self);
}
static PyObject *
__pyx_FusedFunction_descr_get(PyObject *self, PyObject *obj, PyObject *type)
{
    __pyx_FusedFunctionObject *func, *meth;
    func = (__pyx_FusedFunctionObject *) self;
    if (func->self || func->func.flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(self);
        return self;
    }
    if (obj == Py_None)
        obj = NULL;
    meth = (__pyx_FusedFunctionObject *) __pyx_FusedFunction_NewEx(
                    ((PyCFunctionObject *) func)->m_ml,
                    ((__pyx_CyFunctionObject *) func)->flags,
                    ((__pyx_CyFunctionObject *) func)->func_qualname,
                    ((__pyx_CyFunctionObject *) func)->func_closure,
                    ((PyCFunctionObject *) func)->m_module,
                    ((__pyx_CyFunctionObject *) func)->func_globals,
                    ((__pyx_CyFunctionObject *) func)->func_code);
    if (!meth)
        return NULL;
    Py_XINCREF(func->func.func_classobj);
    meth->func.func_classobj = func->func.func_classobj;
    Py_XINCREF(func->__signatures__);
    meth->__signatures__ = func->__signatures__;
    Py_XINCREF(type);
    meth->type = type;
    Py_XINCREF(func->func.defaults_tuple);
    meth->func.defaults_tuple = func->func.defaults_tuple;
    if (func->func.flags & __Pyx_CYFUNCTION_CLASSMETHOD)
        obj = type;
    Py_XINCREF(obj);
    meth->self = obj;
    return (PyObject *) meth;
}
static PyObject *
_obj_to_str(PyObject *obj)
{
    if (PyType_Check(obj))
        return PyObject_GetAttr(obj, __pyx_n_s_name_2);
    else
        return PyObject_Str(obj);
}
static PyObject *
__pyx_FusedFunction_getitem(__pyx_FusedFunctionObject *self, PyObject *idx)
{
    PyObject *signature = NULL;
    PyObject *unbound_result_func;
    PyObject *result_func = NULL;
    if (self->__signatures__ == NULL) {
        PyErr_SetString(PyExc_TypeError, "Function is not fused");
        return NULL;
    }
    if (PyTuple_Check(idx)) {
        PyObject *list = PyList_New(0);
        Py_ssize_t n = PyTuple_GET_SIZE(idx);
        PyObject *string = NULL;
        PyObject *sep = NULL;
        int i;
        if (!list)
            return NULL;
        for (i = 0; i < n; i++) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
            PyObject *item = PyTuple_GET_ITEM(idx, i);
#else
            PyObject *item = PySequence_ITEM(idx, i);
#endif
            string = _obj_to_str(item);
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
            Py_DECREF(item);
#endif
            if (!string || PyList_Append(list, string) < 0)
                goto __pyx_err;
            Py_DECREF(string);
        }
        sep = PyUnicode_FromString("|");
        if (sep)
            signature = PyUnicode_Join(sep, list);
__pyx_err:
;
        Py_DECREF(list);
        Py_XDECREF(sep);
    } else {
        signature = _obj_to_str(idx);
    }
    if (!signature)
        return NULL;
    unbound_result_func = PyObject_GetItem(self->__signatures__, signature);
    if (unbound_result_func) {
        if (self->self || self->type) {
            __pyx_FusedFunctionObject *unbound = (__pyx_FusedFunctionObject *) unbound_result_func;
            Py_CLEAR(unbound->func.func_classobj);
            Py_XINCREF(self->func.func_classobj);
            unbound->func.func_classobj = self->func.func_classobj;
            result_func = __pyx_FusedFunction_descr_get(unbound_result_func,
                                                        self->self, self->type);
        } else {
            result_func = unbound_result_func;
            Py_INCREF(result_func);
        }
    }
    Py_DECREF(signature);
    Py_XDECREF(unbound_result_func);
    return result_func;
}
static PyObject *
__pyx_FusedFunction_callfunction(PyObject *func, PyObject *args, PyObject *kw)
{
     __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    int static_specialized = (cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD &&
                              !((__pyx_FusedFunctionObject *) func)->__signatures__);
    if (cyfunc->flags & __Pyx_CYFUNCTION_CCLASS && !static_specialized) {
        return __Pyx_CyFunction_CallAsMethod(func, args, kw);
    } else {
        return __Pyx_CyFunction_Call(func, args, kw);
    }
}
static PyObject *
__pyx_FusedFunction_call(PyObject *func, PyObject *args, PyObject *kw)
{
    __pyx_FusedFunctionObject *binding_func = (__pyx_FusedFunctionObject *) func;
    Py_ssize_t argc = PyTuple_GET_SIZE(args);
    PyObject *new_args = NULL;
    __pyx_FusedFunctionObject *new_func = NULL;
    PyObject *result = NULL;
    PyObject *self = NULL;
    int is_staticmethod = binding_func->func.flags & __Pyx_CYFUNCTION_STATICMETHOD;
    int is_classmethod = binding_func->func.flags & __Pyx_CYFUNCTION_CLASSMETHOD;
    if (binding_func->self) {
        Py_ssize_t i;
        new_args = PyTuple_New(argc + 1);
        if (!new_args)
            return NULL;
        self = binding_func->self;
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
        Py_INCREF(self);
#endif
        Py_INCREF(self);
        PyTuple_SET_ITEM(new_args, 0, self);
        for (i = 0; i < argc; i++) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
            PyObject *item = PyTuple_GET_ITEM(args, i);
            Py_INCREF(item);
#else
            PyObject *item = PySequence_ITEM(args, i);  if (unlikely(!item)) goto bad;
#endif
            PyTuple_SET_ITEM(new_args, i + 1, item);
        }
        args = new_args;
    } else if (binding_func->type) {
        if (argc < 1) {
            PyErr_SetString(PyExc_TypeError, "Need at least one argument, 0 given.");
            return NULL;
        }
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        self = PyTuple_GET_ITEM(args, 0);
#else
        self = PySequence_ITEM(args, 0);  if (unlikely(!self)) return NULL;
#endif
    }
    if (self && !is_classmethod && !is_staticmethod) {
        int is_instance = PyObject_IsInstance(self, binding_func->type);
        if (unlikely(!is_instance)) {
            PyErr_Format(PyExc_TypeError,
                         "First argument should be of type %.200s, got %.200s.",
                         ((PyTypeObject *) binding_func->type)->tp_name,
                         self->ob_type->tp_name);
            goto bad;
        } else if (unlikely(is_instance == -1)) {
            goto bad;
        }
    }
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
    Py_XDECREF(self);
    self = NULL;
#endif
    if (binding_func->__signatures__) {
        PyObject *tup;
        if (is_staticmethod && binding_func->func.flags & __Pyx_CYFUNCTION_CCLASS) {
            tup = PyTuple_Pack(3, args,
                               kw == NULL ? Py_None : kw,
                               binding_func->func.defaults_tuple);
            if (unlikely(!tup)) goto bad;
            new_func = (__pyx_FusedFunctionObject *) __Pyx_CyFunction_CallMethod(
                func, binding_func->__signatures__, tup, NULL);
        } else {
            tup = PyTuple_Pack(4, binding_func->__signatures__, args,
                               kw == NULL ? Py_None : kw,
                               binding_func->func.defaults_tuple);
            if (unlikely(!tup)) goto bad;
            new_func = (__pyx_FusedFunctionObject *) __pyx_FusedFunction_callfunction(func, tup, NULL);
        }
        Py_DECREF(tup);
        if (unlikely(!new_func))
            goto bad;
        Py_XINCREF(binding_func->func.func_classobj);
        Py_CLEAR(new_func->func.func_classobj);
        new_func->func.func_classobj = binding_func->func.func_classobj;
        func = (PyObject *) new_func;
    }
    result = __pyx_FusedFunction_callfunction(func, args, kw);
bad:
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
    Py_XDECREF(self);
#endif
    Py_XDECREF(new_args);
    Py_XDECREF((PyObject *) new_func);
    return result;
}
static PyMemberDef __pyx_FusedFunction_members[] = {
    {(char *) "__signatures__",
     T_OBJECT,
     offsetof(__pyx_FusedFunctionObject, __signatures__),
     READONLY,
     0},
    {0, 0, 0, 0, 0},
};
static PyMappingMethods __pyx_FusedFunction_mapping_methods = {
    0,
    (binaryfunc) __pyx_FusedFunction_getitem,
    0,
};
static PyTypeObject __pyx_FusedFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "fused_cython_function",
    sizeof(__pyx_FusedFunctionObject),
    0,
    (destructor) __pyx_FusedFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    0,
    0,
    0,
    &__pyx_FusedFunction_mapping_methods,
    0,
    (ternaryfunc) __pyx_FusedFunction_call,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    0,
    (traverseproc) __pyx_FusedFunction_traverse,
    (inquiry) __pyx_FusedFunction_clear,
    0,
    0,
    0,
    0,
    0,
    __pyx_FusedFunction_members,
    __pyx_CyFunction_getsets,
    &__pyx_CyFunctionType_type,
    0,
    __pyx_FusedFunction_descr_get,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
};
static int __pyx_FusedFunction_init(void) {
    __pyx_FusedFunctionType = __Pyx_FetchCommonType(&__pyx_FusedFunctionType_type);
    if (__pyx_FusedFunctionType == NULL) {
        return -1;
    }
    return 0;
}

/* CLineInTraceback */
                static int __Pyx_CLineForTraceback(int c_line) {
#ifdef CYTHON_CLINE_IN_TRACEBACK
    return ((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0;
#else
    PyObject *use_cline;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
      use_cline = PyDict_GetItem(*cython_runtime_dict, __pyx_n_s_cline_in_traceback);
    } else
#endif
    {
      PyObject *ptype, *pvalue, *ptraceback;
      PyObject *use_cline_obj;
      PyErr_Fetch(&ptype, &pvalue, &ptraceback);
      use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_DECREF(use_cline_obj);
      } else {
        use_cline = NULL;
      }
      PyErr_Restore(ptype, pvalue, ptraceback);
    }
    if (!use_cline) {
        c_line = 0;
        PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
    }
    else if (PyObject_Not(use_cline) != 0) {
        c_line = 0;
    }
    return c_line;
#endif
}

/* CodeObjectCache */
                static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_code_cache.count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}

/* AddTraceback */
                #include "compile.h"
#include "frameobject.h"
#include "traceback.h"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(filename);
    #else
    py_srcfile = PyUnicode_FromString(filename);
    #endif
    if (!py_srcfile) goto bad;
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        #else
        py_funcname = PyUnicode_FromString(funcname);
        #endif
    }
    if (!py_funcname) goto bad;
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    Py_DECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        __pyx_d,      /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
        if (PyObject_TypeCheck(obj, __pyx_array_type)) return __pyx_array_getbuffer(obj, view, flags);
        if (PyObject_TypeCheck(obj, __pyx_memoryview_type)) return __pyx_memoryview_getbuffer(obj, view, flags);
    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    if (!obj) return;
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
    if ((0)) {}
        else if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view);
    view->obj = NULL;
    Py_DECREF(obj);
}
#endif


                /* MemviewSliceIsContig */
                static int
__pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs,
                             char order, int ndim)
{
    int i, index, step, start;
    Py_ssize_t itemsize = mvs.memview->view.itemsize;
    if (order == 'F') {
        step = 1;
        start = 0;
    } else {
        step = -1;
        start = ndim - 1;
    }
    for (i = 0; i < ndim; i++) {
        index = start + step * i;
        if (mvs.suboffsets[index] >= 0 || mvs.strides[index] != itemsize)
            return 0;
        itemsize *= mvs.shape[index];
    }
    return 1;
}

/* OverlappingSlices */
                static void
__pyx_get_array_memory_extents(__Pyx_memviewslice *slice,
                               void **out_start, void **out_end,
                               int ndim, size_t itemsize)
{
    char *start, *end;
    int i;
    start = end = slice->data;
    for (i = 0; i < ndim; i++) {
        Py_ssize_t stride = slice->strides[i];
        Py_ssize_t extent = slice->shape[i];
        if (extent == 0) {
            *out_start = *out_end = start;
            return;
        } else {
            if (stride > 0)
                end += stride * (extent - 1);
            else
                start += stride * (extent - 1);
        }
    }
    *out_start = start;
    *out_end = end + itemsize;
}
static int
__pyx_slices_overlap(__Pyx_memviewslice *slice1,
                     __Pyx_memviewslice *slice2,
                     int ndim, size_t itemsize)
{
    void *start1, *end1, *start2, *end2;
    __pyx_get_array_memory_extents(slice1, &start1, &end1, ndim, itemsize);
    __pyx_get_array_memory_extents(slice2, &start2, &end2, ndim, itemsize);
    return (start1 < end2) && (start2 < end1);
}

/* Capsule */
                static CYTHON_INLINE PyObject *
__pyx_capsule_create(void *p, CYTHON_UNUSED const char *sig)
{
    PyObject *cobj;
#if PY_VERSION_HEX >= 0x02070000
    cobj = PyCapsule_New(p, sig, NULL);
#else
    cobj = PyCObject_FromVoidPtr(p, NULL);
#endif
    return cobj;
}

/* TypeInfoCompare */
                static int
__pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b)
{
    int i;
    if (!a || !b)
        return 0;
    if (a == b)
        return 1;
    if (a->size != b->size || a->typegroup != b->typegroup ||
            a->is_unsigned != b->is_unsigned || a->ndim != b->ndim) {
        if (a->typegroup == 'H' || b->typegroup == 'H') {
            return a->size == b->size;
        } else {
            return 0;
        }
    }
    if (a->ndim) {
        for (i = 0; i < a->ndim; i++)
            if (a->arraysize[i] != b->arraysize[i])
                return 0;
    }
    if (a->typegroup == 'S') {
        if (a->flags != b->flags)
            return 0;
        if (a->fields || b->fields) {
            if (!(a->fields && b->fields))
                return 0;
            for (i = 0; a->fields[i].type && b->fields[i].type; i++) {
                __Pyx_StructField *field_a = a->fields + i;
                __Pyx_StructField *field_b = b->fields + i;
                if (field_a->offset != field_b->offset ||
                    !__pyx_typeinfo_cmp(field_a->type, field_b->type))
                    return 0;
            }
            return !a->fields[i].type && !b->fields[i].type;
        }
    }
    return 1;
}

/* MemviewSliceValidateAndInit */
                static int
__pyx_check_strides(Py_buffer *buf, int dim, int ndim, int spec)
{
    if (buf->shape[dim] <= 1)
        return 1;
    if (buf->strides) {
        if (spec & __Pyx_MEMVIEW_CONTIG) {
            if (spec & (__Pyx_MEMVIEW_PTR|__Pyx_MEMVIEW_FULL)) {
                if (buf->strides[dim] != sizeof(void *)) {
                    PyErr_Format(PyExc_ValueError,
                                 "Buffer is not indirectly contiguous "
                                 "in dimension %d.", dim);
                    goto fail;
                }
            } else if (buf->strides[dim] != buf->itemsize) {
                PyErr_SetString(PyExc_ValueError,
                                "Buffer and memoryview are not contiguous "
                                "in the same dimension.");
                goto fail;
            }
        }
        if (spec & __Pyx_MEMVIEW_FOLLOW) {
            Py_ssize_t stride = buf->strides[dim];
            if (stride < 0)
                stride = -stride;
            if (stride < buf->itemsize) {
                PyErr_SetString(PyExc_ValueError,
                                "Buffer and memoryview are not contiguous "
                                "in the same dimension.");
                goto fail;
            }
        }
    } else {
        if (spec & __Pyx_MEMVIEW_CONTIG && dim != ndim - 1) {
            PyErr_Format(PyExc_ValueError,
                         "C-contiguous buffer is not contiguous in "
                         "dimension %d", dim);
            goto fail;
        } else if (spec & (__Pyx_MEMVIEW_PTR)) {
            PyErr_Format(PyExc_ValueError,
                         "C-contiguous buffer is not indirect in "
                         "dimension %d", dim);
            goto fail;
        } else if (buf->suboffsets) {
            PyErr_SetString(PyExc_ValueError,
                            "Buffer exposes suboffsets but no strides");
            goto fail;
        }
    }
    return 1;
fail:
    return 0;
}
static int
__pyx_check_suboffsets(Py_buffer *buf, int dim, CYTHON_UNUSED int ndim, int spec)
{
    if (spec & __Pyx_MEMVIEW_DIRECT) {
        if (buf->suboffsets && buf->suboffsets[dim] >= 0) {
            PyErr_Format(PyExc_ValueError,
                         "Buffer not compatible with direct access "
                         "in dimension %d.", dim);
            goto fail;
        }
    }
    if (spec & __Pyx_MEMVIEW_PTR) {
        if (!buf->suboffsets || (buf->suboffsets && buf->suboffsets[dim] < 0)) {
            PyErr_Format(PyExc_ValueError,
                         "Buffer is not indirectly accessible "
                         "in dimension %d.", dim);
            goto fail;
        }
    }
    return 1;
fail:
    return 0;
}
static int
__pyx_verify_contig(Py_buffer *buf, int ndim, int c_or_f_flag)
{
    int i;
    if (c_or_f_flag & __Pyx_IS_F_CONTIG) {
        Py_ssize_t stride = 1;
        for (i = 0; i < ndim; i++) {
            if (stride * buf->itemsize != buf->strides[i] &&
                    buf->shape[i] > 1)
            {
                PyErr_SetString(PyExc_ValueError,
                    "Buffer not fortran contiguous.");
                goto fail;
            }
            stride = stride * buf->shape[i];
        }
    } else if (c_or_f_flag & __Pyx_IS_C_CONTIG) {
        Py_ssize_t stride = 1;
        for (i = ndim - 1; i >- 1; i--) {
            if (stride * buf->itemsize != buf->strides[i] &&
                    buf->shape[i] > 1) {
                PyErr_SetString(PyExc_ValueError,
                    "Buffer not C contiguous.");
                goto fail;
            }
            stride = stride * buf->shape[i];
        }
    }
    return 1;
fail:
    return 0;
}
static int __Pyx_ValidateAndInit_memviewslice(
                int *axes_specs,
                int c_or_f_flag,
                int buf_flags,
                int ndim,
                __Pyx_TypeInfo *dtype,
                __Pyx_BufFmt_StackElem stack[],
                __Pyx_memviewslice *memviewslice,
                PyObject *original_obj)
{
    struct __pyx_memoryview_obj *memview, *new_memview;
    __Pyx_RefNannyDeclarations
    Py_buffer *buf;
    int i, spec = 0, retval = -1;
    __Pyx_BufFmt_Context ctx;
    int from_memoryview = __pyx_memoryview_check(original_obj);
    __Pyx_RefNannySetupContext("ValidateAndInit_memviewslice", 0);
    if (from_memoryview && __pyx_typeinfo_cmp(dtype, ((struct __pyx_memoryview_obj *)
                                                            original_obj)->typeinfo)) {
        memview = (struct __pyx_memoryview_obj *) original_obj;
        new_memview = NULL;
    } else {
        memview = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                            original_obj, buf_flags, 0, dtype);
        new_memview = memview;
        if (unlikely(!memview))
            goto fail;
    }
    buf = &memview->view;
    if (buf->ndim != ndim) {
        PyErr_Format(PyExc_ValueError,
                "Buffer has wrong number of dimensions (expected %d, got %d)",
                ndim, buf->ndim);
        goto fail;
    }
    if (new_memview) {
        __Pyx_BufFmt_Init(&ctx, stack, dtype);
        if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
    }
    if ((unsigned) buf->itemsize != dtype->size) {
        PyErr_Format(PyExc_ValueError,
                     "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "u byte%s) "
                     "does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "u byte%s)",
                     buf->itemsize,
                     (buf->itemsize > 1) ? "s" : "",
                     dtype->name,
                     dtype->size,
                     (dtype->size > 1) ? "s" : "");
        goto fail;
    }
    for (i = 0; i < ndim; i++) {
        spec = axes_specs[i];
        if (!__pyx_check_strides(buf, i, ndim, spec))
            goto fail;
        if (!__pyx_check_suboffsets(buf, i, ndim, spec))
            goto fail;
    }
    if (buf->strides && !__pyx_verify_contig(buf, ndim, c_or_f_flag))
        goto fail;
    if (unlikely(__Pyx_init_memviewslice(memview, ndim, memviewslice,
                                         new_memview != NULL) == -1)) {
        goto fail;
    }
    retval = 0;
    goto no_fail;
fail:
    Py_XDECREF(new_memview);
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_float(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 3,
                                                 &__Pyx_TypeInfo_float, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_double(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 3,
                                                 &__Pyx_TypeInfo_double, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_float(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 2,
                                                 &__Pyx_TypeInfo_float, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_double(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 2,
                                                 &__Pyx_TypeInfo_double, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_short(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 2,
                                                 &__Pyx_TypeInfo_short, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_int(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 2,
                                                 &__Pyx_TypeInfo_int, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_long(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 2,
                                                 &__Pyx_TypeInfo_long, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds___pyx_t_float_complex(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 2,
                                                 &__Pyx_TypeInfo___pyx_t_float_complex, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds___pyx_t_double_complex(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 2,
                                                 &__Pyx_TypeInfo___pyx_t_double_complex, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_short(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 3,
                                                 &__Pyx_TypeInfo_short, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_int(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 3,
                                                 &__Pyx_TypeInfo_int, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_long(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 3,
                                                 &__Pyx_TypeInfo_long, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds___pyx_t_float_complex(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 3,
                                                 &__Pyx_TypeInfo___pyx_t_float_complex, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds___pyx_t_double_complex(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 3,
                                                 &__Pyx_TypeInfo___pyx_t_double_complex, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsdsds_float(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 4,
                                                 &__Pyx_TypeInfo_float, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsdsds_double(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 4,
                                                 &__Pyx_TypeInfo_double, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* CIntFromPyVerify */
                #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

/* Declarations */
                #if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return ::std::complex< float >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
                #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsf(b.real) >= fabsf(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                float r = b.imag / b.real;
                float s = 1.0 / (b.real + b.imag * r);
                return __pyx_t_float_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            float r = b.real / b.imag;
            float s = 1.0 / (b.imag + b.real * r);
            return __pyx_t_float_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            float denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_float_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(a, a);
                    case 3:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, a);
                    case 4:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = powf(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2f(0, -1);
                }
            } else {
                r = __Pyx_c_abs_float(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif

/* Declarations */
                #if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
                #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = 1.0 / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = 1.0 / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0, -1);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_double(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 1,
                                                 &__Pyx_TypeInfo_double, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_float(const char *itemp) {
    return (PyObject *) PyFloat_FromDouble(*(float *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_float(const char *itemp, PyObject *obj) {
    float value = __pyx_PyFloat_AsFloat(obj);
    if ((value == (float)-1) && PyErr_Occurred())
        return 0;
    *(float *) itemp = value;
    return 1;
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_double(const char *itemp) {
    return (PyObject *) PyFloat_FromDouble(*(double *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_double(const char *itemp, PyObject *obj) {
    double value = __pyx_PyFloat_AsDouble(obj);
    if ((value == (double)-1) && PyErr_Occurred())
        return 0;
    *(double *) itemp = value;
    return 1;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_int(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 1,
                                                 &__Pyx_TypeInfo_int, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* CIntToPy */
                static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (int) -1, const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_int(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_int(*(int *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_int(const char *itemp, PyObject *obj) {
    int value = __Pyx_PyInt_As_int(obj);
    if ((value == (int)-1) && PyErr_Occurred())
        return 0;
    *(int *) itemp = value;
    return 1;
}

/* CIntToPy */
                static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (long) -1, const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

/* CIntToPy */
                static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value) {
    const Py_intptr_t neg_one = (Py_intptr_t) -1, const_zero = (Py_intptr_t) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(Py_intptr_t) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(Py_intptr_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(Py_intptr_t) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(Py_intptr_t),
                                     little, !is_unsigned);
    }
}

/* CIntToPy */
                static CYTHON_INLINE PyObject* __Pyx_PyInt_From_short(short value) {
    const short neg_one = (short) -1, const_zero = (short) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(short) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(short) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(short) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(short) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(short) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(short),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_short(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_short(*(short *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_short(const char *itemp, PyObject *obj) {
    short value = __Pyx_PyInt_As_short(obj);
    if ((value == (short)-1) && PyErr_Occurred())
        return 0;
    *(short *) itemp = value;
    return 1;
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_long(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_long(*(long *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_long(const char *itemp, PyObject *obj) {
    long value = __Pyx_PyInt_As_long(obj);
    if ((value == (long)-1) && PyErr_Occurred())
        return 0;
    *(long *) itemp = value;
    return 1;
}

/* FromPy */
                static __pyx_t_float_complex __Pyx_PyComplex_As___pyx_t_float_complex(PyObject* o) {
    Py_complex cval;
#if !CYTHON_COMPILING_IN_PYPY
    if (PyComplex_CheckExact(o))
        cval = ((PyComplexObject *)o)->cval;
    else
#endif
        cval = PyComplex_AsCComplex(o);
    return __pyx_t_float_complex_from_parts(
               (float)cval.real,
               (float)cval.imag);
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get___pyx_t_float_complex(const char *itemp) {
    return (PyObject *) __pyx_PyComplex_FromComplex(*(__pyx_t_float_complex *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set___pyx_t_float_complex(const char *itemp, PyObject *obj) {
    __pyx_t_float_complex value = __Pyx_PyComplex_As___pyx_t_float_complex(obj);
    if (PyErr_Occurred())
        return 0;
    *(__pyx_t_float_complex *) itemp = value;
    return 1;
}

/* FromPy */
                static __pyx_t_double_complex __Pyx_PyComplex_As___pyx_t_double_complex(PyObject* o) {
    Py_complex cval;
#if !CYTHON_COMPILING_IN_PYPY
    if (PyComplex_CheckExact(o))
        cval = ((PyComplexObject *)o)->cval;
    else
#endif
        cval = PyComplex_AsCComplex(o);
    return __pyx_t_double_complex_from_parts(
               (double)cval.real,
               (double)cval.imag);
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get___pyx_t_double_complex(const char *itemp) {
    return (PyObject *) __pyx_PyComplex_FromComplex(*(__pyx_t_double_complex *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set___pyx_t_double_complex(const char *itemp, PyObject *obj) {
    __pyx_t_double_complex value = __Pyx_PyComplex_As___pyx_t_double_complex(obj);
    if (PyErr_Occurred())
        return 0;
    *(__pyx_t_double_complex *) itemp = value;
    return 1;
}

/* CIntToPy */
                static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) {
    const enum NPY_TYPES neg_one = (enum NPY_TYPES) -1, const_zero = (enum NPY_TYPES) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(enum NPY_TYPES) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),
                                     little, !is_unsigned);
    }
}

/* MemviewSliceCopyTemplate */
                static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 size_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object)
{
    __Pyx_RefNannyDeclarations
    int i;
    __Pyx_memviewslice new_mvs = { 0, 0, { 0 }, { 0 }, { 0 } };
    struct __pyx_memoryview_obj *from_memview = from_mvs->memview;
    Py_buffer *buf = &from_memview->view;
    PyObject *shape_tuple = NULL;
    PyObject *temp_int = NULL;
    struct __pyx_array_obj *array_obj = NULL;
    struct __pyx_memoryview_obj *memview_obj = NULL;
    __Pyx_RefNannySetupContext("__pyx_memoryview_copy_new_contig", 0);
    for (i = 0; i < ndim; i++) {
        if (from_mvs->suboffsets[i] >= 0) {
            PyErr_Format(PyExc_ValueError, "Cannot copy memoryview slice with "
                                           "indirect dimensions (axis %d)", i);
            goto fail;
        }
    }
    shape_tuple = PyTuple_New(ndim);
    if (unlikely(!shape_tuple)) {
        goto fail;
    }
    __Pyx_GOTREF(shape_tuple);
    for(i = 0; i < ndim; i++) {
        temp_int = PyInt_FromSsize_t(from_mvs->shape[i]);
        if(unlikely(!temp_int)) {
            goto fail;
        } else {
            PyTuple_SET_ITEM(shape_tuple, i, temp_int);
            temp_int = NULL;
        }
    }
    array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, (char *) mode, NULL);
    if (unlikely(!array_obj)) {
        goto fail;
    }
    __Pyx_GOTREF(array_obj);
    memview_obj = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                    (PyObject *) array_obj, contig_flag,
                                    dtype_is_object,
                                    from_mvs->memview->typeinfo);
    if (unlikely(!memview_obj))
        goto fail;
    if (unlikely(__Pyx_init_memviewslice(memview_obj, ndim, &new_mvs, 1) < 0))
        goto fail;
    if (unlikely(__pyx_memoryview_copy_contents(*from_mvs, new_mvs, ndim, ndim,
                                                dtype_is_object) < 0))
        goto fail;
    goto no_fail;
fail:
    __Pyx_XDECREF(new_mvs.memview);
    new_mvs.memview = NULL;
    new_mvs.data = NULL;
no_fail:
    __Pyx_XDECREF(shape_tuple);
    __Pyx_XDECREF(temp_int);
    __Pyx_XDECREF(array_obj);
    __Pyx_RefNannyFinishContext();
    return new_mvs;
}

/* CIntFromPy */
                static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (int) -1, const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(int) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

/* CIntFromPy */
                static CYTHON_INLINE Py_intptr_t __Pyx_PyInt_As_Py_intptr_t(PyObject *x) {
    const Py_intptr_t neg_one = (Py_intptr_t) -1, const_zero = (Py_intptr_t) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(Py_intptr_t) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(Py_intptr_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (Py_intptr_t) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (Py_intptr_t) 0;
                case  1: __PYX_VERIFY_RETURN_INT(Py_intptr_t, digit, digits[0])
                case 2:
                    if (8 * sizeof(Py_intptr_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(Py_intptr_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(Py_intptr_t) >= 2 * PyLong_SHIFT) {
                            return (Py_intptr_t) (((((Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(Py_intptr_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(Py_intptr_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(Py_intptr_t) >= 3 * PyLong_SHIFT) {
                            return (Py_intptr_t) (((((((Py_intptr_t)digits[2]) << PyLong_SHIFT) | (Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(Py_intptr_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(Py_intptr_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(Py_intptr_t) >= 4 * PyLong_SHIFT) {
                            return (Py_intptr_t) (((((((((Py_intptr_t)digits[3]) << PyLong_SHIFT) | (Py_intptr_t)digits[2]) << PyLong_SHIFT) | (Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (Py_intptr_t) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(Py_intptr_t) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(Py_intptr_t, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(Py_intptr_t) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(Py_intptr_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (Py_intptr_t) 0;
                case -1: __PYX_VERIFY_RETURN_INT(Py_intptr_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(Py_intptr_t,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(Py_intptr_t) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(Py_intptr_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(Py_intptr_t) - 1 > 2 * PyLong_SHIFT) {
                            return (Py_intptr_t) (((Py_intptr_t)-1)*(((((Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(Py_intptr_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(Py_intptr_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(Py_intptr_t) - 1 > 2 * PyLong_SHIFT) {
                            return (Py_intptr_t) ((((((Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(Py_intptr_t) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(Py_intptr_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(Py_intptr_t) - 1 > 3 * PyLong_SHIFT) {
                            return (Py_intptr_t) (((Py_intptr_t)-1)*(((((((Py_intptr_t)digits[2]) << PyLong_SHIFT) | (Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(Py_intptr_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(Py_intptr_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(Py_intptr_t) - 1 > 3 * PyLong_SHIFT) {
                            return (Py_intptr_t) ((((((((Py_intptr_t)digits[2]) << PyLong_SHIFT) | (Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(Py_intptr_t) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(Py_intptr_t, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(Py_intptr_t) - 1 > 4 * PyLong_SHIFT) {
                            return (Py_intptr_t) (((Py_intptr_t)-1)*(((((((((Py_intptr_t)digits[3]) << PyLong_SHIFT) | (Py_intptr_t)digits[2]) << PyLong_SHIFT) | (Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(Py_intptr_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(Py_intptr_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(Py_intptr_t) - 1 > 4 * PyLong_SHIFT) {
                            return (Py_intptr_t) ((((((((((Py_intptr_t)digits[3]) << PyLong_SHIFT) | (Py_intptr_t)digits[2]) << PyLong_SHIFT) | (Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(Py_intptr_t) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(Py_intptr_t, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(Py_intptr_t) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(Py_intptr_t, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            Py_intptr_t val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (Py_intptr_t) -1;
        }
    } else {
        Py_intptr_t val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (Py_intptr_t) -1;
        val = __Pyx_PyInt_As_Py_intptr_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to Py_intptr_t");
    return (Py_intptr_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to Py_intptr_t");
    return (Py_intptr_t) -1;
}

/* CIntFromPy */
                static CYTHON_INLINE short __Pyx_PyInt_As_short(PyObject *x) {
    const short neg_one = (short) -1, const_zero = (short) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(short) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(short, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (short) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (short) 0;
                case  1: __PYX_VERIFY_RETURN_INT(short, digit, digits[0])
                case 2:
                    if (8 * sizeof(short) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) >= 2 * PyLong_SHIFT) {
                            return (short) (((((short)digits[1]) << PyLong_SHIFT) | (short)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(short) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) >= 3 * PyLong_SHIFT) {
                            return (short) (((((((short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(short) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) >= 4 * PyLong_SHIFT) {
                            return (short) (((((((((short)digits[3]) << PyLong_SHIFT) | (short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (short) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(short) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(short, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(short) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(short, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (short) 0;
                case -1: __PYX_VERIFY_RETURN_INT(short, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(short,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(short) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) - 1 > 2 * PyLong_SHIFT) {
                            return (short) (((short)-1)*(((((short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(short) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) - 1 > 2 * PyLong_SHIFT) {
                            return (short) ((((((short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(short) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) - 1 > 3 * PyLong_SHIFT) {
                            return (short) (((short)-1)*(((((((short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(short) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) - 1 > 3 * PyLong_SHIFT) {
                            return (short) ((((((((short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(short) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) - 1 > 4 * PyLong_SHIFT) {
                            return (short) (((short)-1)*(((((((((short)digits[3]) << PyLong_SHIFT) | (short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(short) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(short, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(short) - 1 > 4 * PyLong_SHIFT) {
                            return (short) ((((((((((short)digits[3]) << PyLong_SHIFT) | (short)digits[2]) << PyLong_SHIFT) | (short)digits[1]) << PyLong_SHIFT) | (short)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(short) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(short, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(short) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(short, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            short val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (short) -1;
        }
    } else {
        short val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (short) -1;
        val = __Pyx_PyInt_As_short(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to short");
    return (short) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to short");
    return (short) -1;
}

/* CIntFromPy */
                static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (long) -1, const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(long) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            long val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

/* BytesContains */
                static CYTHON_INLINE int __Pyx_BytesContains(PyObject* bytes, char character) {
    const Py_ssize_t length = PyBytes_GET_SIZE(bytes);
    char* char_start = PyBytes_AS_STRING(bytes);
    return memchr(char_start, (unsigned char)character, (size_t)length) != NULL;
}

/* ImportNumPyArray */
                static PyObject* __Pyx__ImportNumPyArray(void) {
    PyObject *numpy_module, *ndarray_object = NULL;
    numpy_module = __Pyx_Import(__pyx_n_s_numpy, NULL, 0);
    if (likely(numpy_module)) {
        ndarray_object = PyObject_GetAttrString(numpy_module, "ndarray");
        Py_DECREF(numpy_module);
    }
    if (unlikely(!ndarray_object)) {
        PyErr_Clear();
    }
    if (unlikely(!ndarray_object || !PyObject_TypeCheck(ndarray_object, &PyType_Type))) {
        Py_XDECREF(ndarray_object);
        Py_INCREF(Py_None);
        ndarray_object = Py_None;
    }
    return ndarray_object;
}
static CYTHON_INLINE PyObject* __Pyx_ImportNumPyArrayTypeIfAvailable(void) {
    if (unlikely(!__pyx_numpy_ndarray)) {
        __pyx_numpy_ndarray = __Pyx__ImportNumPyArray();
    }
    Py_INCREF(__pyx_numpy_ndarray);
    return __pyx_numpy_ndarray;
}

/* CIntFromPy */
                static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *x) {
    const char neg_one = (char) -1, const_zero = (char) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(char) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(char, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (char) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (char) 0;
                case  1: __PYX_VERIFY_RETURN_INT(char, digit, digits[0])
                case 2:
                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 2 * PyLong_SHIFT) {
                            return (char) (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 3 * PyLong_SHIFT) {
                            return (char) (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 4 * PyLong_SHIFT) {
                            return (char) (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (char) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(char) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (char) 0;
                case -1: __PYX_VERIFY_RETURN_INT(char, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(char,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(char) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                            return (char) ((((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                            return (char) ((((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
                            return (char) ((((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(char) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            char val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (char) -1;
        }
    } else {
        char val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (char) -1;
        val = __Pyx_PyInt_As_char(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to char");
    return (char) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to char");
    return (char) -1;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_float(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 1,
                                                 &__Pyx_TypeInfo_float, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_short(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 1,
                                                 &__Pyx_TypeInfo_short, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_long(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 1,
                                                 &__Pyx_TypeInfo_long, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds___pyx_t_float_complex(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 1,
                                                 &__Pyx_TypeInfo___pyx_t_float_complex, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds___pyx_t_double_complex(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 1,
                                                 &__Pyx_TypeInfo___pyx_t_double_complex, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsdsds_int(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS, 4,
                                                 &__Pyx_TypeInfo_int, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* CheckBinaryVersion */
                static int __Pyx_check_binary_version(void) {
    char ctversion[4], rtversion[4];
    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compiletime version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        return PyErr_WarnEx(NULL, message, 1);
    }
    return 0;
}

/* ModuleImport */
                #ifndef __PYX_HAVE_RT_ImportModule
#define __PYX_HAVE_RT_ImportModule
static PyObject *__Pyx_ImportModule(const char *name) {
    PyObject *py_name = 0;
    PyObject *py_module = 0;
    py_name = __Pyx_PyIdentifier_FromString(name);
    if (!py_name)
        goto bad;
    py_module = PyImport_Import(py_name);
    Py_DECREF(py_name);
    return py_module;
bad:
    Py_XDECREF(py_name);
    return 0;
}
#endif

/* TypeImport */
                #ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    size_t size, int strict)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    py_name = __Pyx_PyIdentifier_FromString(class_name);
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if (!strict && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility. Expected %zd, got %zd",
            module_name, class_name, basicsize, size);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    else if ((size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s has the wrong size, try recompiling. Expected %zd, got %zd",
            module_name, class_name, basicsize, size);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

/* InitStrings */
                static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            PyErr_Clear();
        ++t;
    }
    return 0;
}

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if CYTHON_COMPILING_IN_CPYTHON && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT)
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
#if PY_VERSION_HEX < 0x03030000
        char* defenc_c;
        PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
        if (!defenc) return NULL;
        defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        {
            char* end = defenc_c + PyBytes_GET_SIZE(defenc);
            char* c;
            for (c = defenc_c; c < end; c++) {
                if ((unsigned char) (*c) >= 128) {
                    PyUnicode_AsASCIIString(o);
                    return NULL;
                }
            }
        }
#endif
        *length = PyBytes_GET_SIZE(defenc);
        return defenc_c;
#else
        if (__Pyx_PyUnicode_READY(o) == -1) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        if (PyUnicode_IS_ASCII(o)) {
            *length = PyUnicode_GET_LENGTH(o);
            return PyUnicode_AsUTF8(o);
        } else {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
#else
        return PyUnicode_AsUTF8AndSize(o, length);
#endif
#endif
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
  #else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
  #endif
#else
  res = PyNumber_Int(x);
#endif
  if (res) {
#if PY_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(x);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
