/* Generated by Cython 0.22 */

#define PY_SSIZE_T_CLEAN
#ifndef CYTHON_USE_PYLONG_INTERNALS
#ifdef PYLONG_BITS_IN_DIGIT
#define CYTHON_USE_PYLONG_INTERNALS 0
#else
#include "pyconfig.h"
#ifdef PYLONG_BITS_IN_DIGIT
#define CYTHON_USE_PYLONG_INTERNALS 1
#else
#define CYTHON_USE_PYLONG_INTERNALS 0
#endif
#endif
#endif
#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_22"
#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
  #endif
  #ifndef __fastcall
    #define __fastcall
  #endif
#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#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_CPYTHON 0
#else
#define CYTHON_COMPILING_IN_PYPY 0
#define CYTHON_COMPILING_IN_CPYTHON 1
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
#define Py_OptimizeFlag 0
#endif
#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) \
          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #define __Pyx_DefaultClassType PyClass_Type
#else
  #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
#if PY_MAJOR_VERSION >= 3
  #define Py_TPFLAGS_CHECKTYPES 0
  #define Py_TPFLAGS_HAVE_INDEX 0
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#if PY_VERSION_HEX < 0x030400a1 && !defined(Py_TPFLAGS_HAVE_FINALIZE)
  #define Py_TPFLAGS_HAVE_FINALIZE 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_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)
#else
  #define CYTHON_PEP393_ENABLED 0
  #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_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]))
#endif
#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)
  #define __Pyx_PyFrozenSet_Size(s)         PyObject_Size(s)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ? \
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
  #define __Pyx_PyFrozenSet_Size(s)         PySet_Size(s)
#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
  #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)
#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 CYTHON_INLINE
  #if 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
#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
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  /* Initialize NaN. The sign is irrelevant, an exponent with all bits 1 and
   a nonzero mantissa means NaN. If the first bit in the mantissa is 1, it is
   a quiet NaN. */
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#define __Pyx_void_to_None(void_result) (void_result, Py_INCREF(Py_None), Py_None)
#ifdef __cplusplus
template<typename T>
void __Pyx_call_destructor(T* x) {
    x->~T();
}
template<typename T>
class __Pyx_FakeReference {
  public:
    __Pyx_FakeReference() : ptr(NULL) { }
    __Pyx_FakeReference(T& ref) : ptr(&ref) { }
    T *operator->() { return ptr; }
    operator T&() { return *ptr; }
  private:
    T *ptr;
};
#endif


#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
  #endif
#endif

#if defined(WIN32) || defined(MS_WINDOWS)
#define _USE_MATH_DEFINES
#endif
#include <math.h>
#define __PYX_HAVE__nipy__labs__utils__routines
#define __PYX_HAVE_API__nipy__labs__utils__routines
#include "string.h"
#include "stdio.h"
#include "stdlib.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "fff_base.h"
#include "fff_vector.h"
#include "fff_matrix.h"
#include "fff_array.h"
#include "fffpy.h"
#include "fff_gen_stats.h"
#include "fff_specfun.h"
#include "fff_lapack.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#ifdef PYREX_WITHOUT_ASSERTIONS
#define CYTHON_WITHOUT_ASSERTIONS
#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
typedef struct {PyObject **p; 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_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)))  )
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE 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_AsSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((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_Owned_Py_None(b) (Py_INCREF(Py_None), Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? (Py_INCREF(Py_True), Py_True) : (Py_INCREF(Py_False), Py_False))
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(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_COMPILING_IN_CPYTHON
#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 && __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 PyObject *__pyx_m;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;

#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[] = {
  "nipy/labs/utils/routines.pyx",
  "__init__.pxd",
  "type.pxd",
};

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":726
 * # 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-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
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":728
 * 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":729
 * 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":733
 * #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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-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
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":735
 * 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":736
 * 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":740
 * #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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":741
 * 
 * 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":750
 * # 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":751
 * # 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":752
 * 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":754
 * 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":755
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":756
 * 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":758
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":759
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":761
 * 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":762
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":763
 * 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;

/* "fff.pxd":9
 * 
 * # Redefine size_t
 * ctypedef unsigned long int size_t             # <<<<<<<<<<<<<<
 * 
 * 
 */
typedef unsigned long __pyx_t_3fff_size_t;
#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

#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


/*--- Type declarations ---*/

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":765
 * 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":766
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":767
 * 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;

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":769
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;

/* --- Runtime support code (head) --- */
#ifndef CYTHON_REFNANNY
  #define CYTHON_REFNANNY 0
#endif
#if CYTHON_REFNANNY
  typedef struct {
    void (*INCREF)(void*, PyObject*, int);
    void (*DECREF)(void*, PyObject*, int);
    void (*GOTREF)(void*, PyObject*, int);
    void (*GIVEREF)(void*, PyObject*, int);
    void* (*SetupContext)(const char*, int, const char*);
    void (*FinishContext)(void**);
  } __Pyx_RefNannyAPIStruct;
  static __Pyx_RefNannyAPIStruct *__Pyx_RefNanny = NULL;
  static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname);
  #define __Pyx_RefNannyDeclarations void *__pyx_refnanny = NULL;
#ifdef WITH_THREAD
  #define __Pyx_RefNannySetupContext(name, acquire_gil) \
          if (acquire_gil) { \
              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure(); \
              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__); \
              PyGILState_Release(__pyx_gilstate_save); \
          } else { \
              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__); \
          }
#else
  #define __Pyx_RefNannySetupContext(name, acquire_gil) \
          __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__)
#endif
  #define __Pyx_RefNannyFinishContext() \
          __Pyx_RefNanny->FinishContext(&__pyx_refnanny)
  #define __Pyx_INCREF(r)  __Pyx_RefNanny->INCREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
  #define __Pyx_DECREF(r)  __Pyx_RefNanny->DECREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
  #define __Pyx_GOTREF(r)  __Pyx_RefNanny->GOTREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
  #define __Pyx_GIVEREF(r) __Pyx_RefNanny->GIVEREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
  #define __Pyx_XINCREF(r)  do { if((r) != NULL) {__Pyx_INCREF(r); }} while(0)
  #define __Pyx_XDECREF(r)  do { if((r) != NULL) {__Pyx_DECREF(r); }} while(0)
  #define __Pyx_XGOTREF(r)  do { if((r) != NULL) {__Pyx_GOTREF(r); }} while(0)
  #define __Pyx_XGIVEREF(r) do { if((r) != NULL) {__Pyx_GIVEREF(r);}} while(0)
#else
  #define __Pyx_RefNannyDeclarations
  #define __Pyx_RefNannySetupContext(name, acquire_gil)
  #define __Pyx_RefNannyFinishContext()
  #define __Pyx_INCREF(r) Py_INCREF(r)
  #define __Pyx_DECREF(r) Py_DECREF(r)
  #define __Pyx_GOTREF(r)
  #define __Pyx_GIVEREF(r)
  #define __Pyx_XINCREF(r) Py_XINCREF(r)
  #define __Pyx_XDECREF(r) Py_XDECREF(r)
  #define __Pyx_XGOTREF(r)
  #define __Pyx_XGIVEREF(r)
#endif
#define __Pyx_XDECREF_SET(r, v) do {                            \
        PyObject *tmp = (PyObject *) r;                         \
        r = v; __Pyx_XDECREF(tmp);                              \
    } while (0)
#define __Pyx_DECREF_SET(r, v) do {                             \
        PyObject *tmp = (PyObject *) r;                         \
        r = v; __Pyx_DECREF(tmp);                               \
    } while (0)
#define __Pyx_CLEAR(r)    do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
#define __Pyx_XCLEAR(r)   do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro))
        return tp->tp_getattro(obj, attr_name);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_getattr))
        return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
#endif
    return PyObject_GetAttr(obj, attr_name);
}
#else
#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
#endif

static PyObject *__Pyx_GetBuiltinName(PyObject *name);

static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
    Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);

static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[], \
    PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args, \
    const char* function_name);

#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck) \
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ? \
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck) : \
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list assignment index out of range"), -1) : \
               __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);

static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name);

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
#else
#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

#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);

static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(
        PyObject* obj, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
        int has_cstart, int has_cstop, int wraparound);

static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb);

static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);

#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (!PyErr_Occurred()) {
            PyObject* args = PyTuple_Pack(1, key);
            if (likely(args))
                PyErr_SetObject(PyExc_KeyError, args);
            Py_XDECREF(args);
        }
        return NULL;
    }
    Py_INCREF(value);
    return value;
}
#else
    #define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
#endif

static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);

static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);

typedef struct {
    int code_line;
    PyCodeObject* code_object;
} __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);

static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

static CYTHON_INLINE unsigned int __Pyx_PyInt_As_unsigned_int(PyObject *);

static CYTHON_INLINE unsigned long __Pyx_PyInt_As_unsigned_long(PyObject *);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

#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(_WIN32) || defined(__clang__)) && defined(__cplusplus) && CYTHON_CCOMPLEX
    #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

static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

#if CYTHON_CCOMPLEX
    #define __Pyx_c_eqf(a, b)   ((a)==(b))
    #define __Pyx_c_sumf(a, b)  ((a)+(b))
    #define __Pyx_c_difff(a, b) ((a)-(b))
    #define __Pyx_c_prodf(a, b) ((a)*(b))
    #define __Pyx_c_quotf(a, b) ((a)/(b))
    #define __Pyx_c_negf(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zerof(z) ((z)==(float)0)
    #define __Pyx_c_conjf(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_absf(z)     (::std::abs(z))
        #define __Pyx_c_powf(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zerof(z) ((z)==0)
    #define __Pyx_c_conjf(z)    (conjf(z))
    #if 1
        #define __Pyx_c_absf(z)     (cabsf(z))
        #define __Pyx_c_powf(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif

static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);

#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq(a, b)   ((a)==(b))
    #define __Pyx_c_sum(a, b)  ((a)+(b))
    #define __Pyx_c_diff(a, b) ((a)-(b))
    #define __Pyx_c_prod(a, b) ((a)*(b))
    #define __Pyx_c_quot(a, b) ((a)/(b))
    #define __Pyx_c_neg(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero(z) ((z)==(double)0)
    #define __Pyx_c_conj(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs(z)     (::std::abs(z))
        #define __Pyx_c_pow(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero(z) ((z)==0)
    #define __Pyx_c_conj(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs(z)     (cabs(z))
        #define __Pyx_c_pow(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif

static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

static int __Pyx_check_binary_version(void);

#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

static PyObject *__Pyx_ImportModule(const char *name);

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

static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);


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

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

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

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

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

/* Module declarations from '__builtin__' */

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

/* 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 'fff' */

/* Module declarations from 'nipy.labs.utils.routines' */
#define __Pyx_MODULE_NAME "nipy.labs.utils.routines"
int __pyx_module_is_main_nipy__labs__utils__routines = 0;

/* Implementation of 'nipy.labs.utils.routines' */
static PyObject *__pyx_builtin_FutureWarning;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_quantile(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_X, double __pyx_v_ratio, int __pyx_v_interp, int __pyx_v_axis); /* proto */
static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_2median(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_x, PyObject *__pyx_v_axis); /* proto */
static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_4mahalanobis(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_X, PyObject *__pyx_v_VX); /* proto */
static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_6svd(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_X); /* proto */
static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_8permutations(CYTHON_UNUSED PyObject *__pyx_self, unsigned int __pyx_v_n, unsigned int __pyx_v_m, unsigned long __pyx_v_magic); /* proto */
static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_10combinations(CYTHON_UNUSED PyObject *__pyx_self, unsigned int __pyx_v_k, unsigned int __pyx_v_n, unsigned int __pyx_v_m, unsigned long __pyx_v_magic); /* proto */
static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_12gamln(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_x); /* proto */
static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_14psi(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_x); /* 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 char __pyx_k_B[] = "B";
static char __pyx_k_C[] = "C";
static char __pyx_k_H[] = "H";
static char __pyx_k_I[] = "I";
static char __pyx_k_L[] = "L";
static char __pyx_k_O[] = "O";
static char __pyx_k_P[] = "P";
static char __pyx_k_Q[] = "Q";
static char __pyx_k_S[] = "S";
static char __pyx_k_U[] = "U";
static char __pyx_k_X[] = "X";
static char __pyx_k_Y[] = "Y";
static char __pyx_k_b[] = "b";
static char __pyx_k_d[] = "d";
static char __pyx_k_f[] = "f";
static char __pyx_k_g[] = "g";
static char __pyx_k_h[] = "h";
static char __pyx_k_i[] = "i";
static char __pyx_k_k[] = "k";
static char __pyx_k_l[] = "l";
static char __pyx_k_m[] = "m";
static char __pyx_k_n[] = "n";
static char __pyx_k_p[] = "p";
static char __pyx_k_q[] = "q";
static char __pyx_k_s[] = "s";
static char __pyx_k_x[] = "x";
static char __pyx_k_y[] = "y";
static char __pyx_k_D2[] = "D2";
static char __pyx_k_Sx[] = "Sx";
static char __pyx_k_VX[] = "VX";
static char __pyx_k_Vt[] = "Vt";
static char __pyx_k_Zd[] = "Zd";
static char __pyx_k_Zf[] = "Zf";
static char __pyx_k_Zg[] = "Zg";
static char __pyx_k_d2[] = "d2";
static char __pyx_k_np[] = "np";
static char __pyx_k_pi[] = "pi";
static char __pyx_k_vx[] = "vx";
static char __pyx_k_0_1[] = "0.1";
static char __pyx_k_Aux[] = "Aux";
static char __pyx_k_dim[] = "dim";
static char __pyx_k_psi[] = "psi";
static char __pyx_k_svd[] = "svd";
static char __pyx_k_axis[] = "axis";
static char __pyx_k_dims[] = "dims";
static char __pyx_k_dmax[] = "dmax";
static char __pyx_k_dmin[] = "dmin";
static char __pyx_k_info[] = "info";
static char __pyx_k_main[] = "__main__";
static char __pyx_k_test[] = "__test__";
static char __pyx_k_warn[] = "warn";
static char __pyx_k_work[] = "work";
static char __pyx_k_gamln[] = "gamln";
static char __pyx_k_iwork[] = "iwork";
static char __pyx_k_lwork[] = "lwork";
static char __pyx_k_magic[] = "magic";
static char __pyx_k_multi[] = "multi";
static char __pyx_k_numpy[] = "numpy";
static char __pyx_k_range[] = "range";
static char __pyx_k_ratio[] = "ratio";
static char __pyx_k_s_tmp[] = "s_tmp";
static char __pyx_k_shape[] = "shape";
static char __pyx_k_x_tmp[] = "x_tmp";
static char __pyx_k_zeros[] = "zeros";
static char __pyx_k_Sx_tmp[] = "Sx_tmp";
static char __pyx_k_X_flat[] = "X_flat";
static char __pyx_k_endims[] = "endims";
static char __pyx_k_import[] = "__import__";
static char __pyx_k_interp[] = "interp";
static char __pyx_k_liwork[] = "liwork";
static char __pyx_k_median[] = "median";
static char __pyx_k_vx_tmp[] = "vx_tmp";
static char __pyx_k_x_flat[] = "x_flat";
static char __pyx_k_VX_flat[] = "VX_flat";
static char __pyx_k_pi_view[] = "pi_view";
static char __pyx_k_reshape[] = "reshape";
static char __pyx_k_version[] = "__version__";
static char __pyx_k_quantile[] = "quantile";
static char __pyx_k_warnings[] = "warnings";
static char __pyx_k_ValueError[] = "ValueError";
static char __pyx_k_stacklevel[] = "stacklevel";
static char __pyx_k_x_flat_tmp[] = "x_flat_tmp";
static char __pyx_k_mahalanobis[] = "mahalanobis";
static char __pyx_k_RuntimeError[] = "RuntimeError";
static char __pyx_k_combinations[] = "combinations";
static char __pyx_k_permutations[] = "permutations";
static char __pyx_k_FutureWarning[] = "FutureWarning";
static char __pyx_k_nipy_labs_utils_routines[] = "nipy.labs.utils.routines";
static char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static char __pyx_k_Miscellaneous_fff_routines_Auth[] = "\nMiscellaneous fff routines.\n\nAuthor: Alexis Roche, 2008.\n";
static char __pyx_k_Module_nipy_labs_utils_routines[] = "Module nipy.labs.utils.routines deprecated, will be removed";
static char __pyx_k_Users_mb312_dev_trees_nipy_nipy[] = "/Users/mb312/dev_trees/nipy/nipy/labs/utils/routines.pyx";
static char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static PyObject *__pyx_kp_s_0_1;
static PyObject *__pyx_n_s_Aux;
static PyObject *__pyx_n_s_C;
static PyObject *__pyx_n_s_D2;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_n_s_FutureWarning;
static PyObject *__pyx_kp_s_Module_nipy_labs_utils_routines;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_s_P;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_n_s_S;
static PyObject *__pyx_n_s_Sx;
static PyObject *__pyx_n_s_Sx_tmp;
static PyObject *__pyx_n_s_U;
static PyObject *__pyx_kp_s_Users_mb312_dev_trees_nipy_nipy;
static PyObject *__pyx_n_s_VX;
static PyObject *__pyx_n_s_VX_flat;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s_Vt;
static PyObject *__pyx_n_s_X;
static PyObject *__pyx_n_s_X_flat;
static PyObject *__pyx_n_s_Y;
static PyObject *__pyx_n_s_axis;
static PyObject *__pyx_n_s_combinations;
static PyObject *__pyx_n_s_d2;
static PyObject *__pyx_n_s_dim;
static PyObject *__pyx_n_s_dims;
static PyObject *__pyx_n_s_dmax;
static PyObject *__pyx_n_s_dmin;
static PyObject *__pyx_n_s_endims;
static PyObject *__pyx_n_s_gamln;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_info;
static PyObject *__pyx_n_s_interp;
static PyObject *__pyx_n_s_iwork;
static PyObject *__pyx_n_s_k;
static PyObject *__pyx_n_s_liwork;
static PyObject *__pyx_n_s_lwork;
static PyObject *__pyx_n_s_m;
static PyObject *__pyx_n_s_magic;
static PyObject *__pyx_n_s_mahalanobis;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_median;
static PyObject *__pyx_n_s_multi;
static PyObject *__pyx_n_s_n;
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_nipy_labs_utils_routines;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_n_s_p;
static PyObject *__pyx_n_s_permutations;
static PyObject *__pyx_n_s_pi;
static PyObject *__pyx_n_s_pi_view;
static PyObject *__pyx_n_s_psi;
static PyObject *__pyx_n_s_quantile;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_ratio;
static PyObject *__pyx_n_s_reshape;
static PyObject *__pyx_n_s_s;
static PyObject *__pyx_n_s_s_tmp;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_n_s_stacklevel;
static PyObject *__pyx_n_s_svd;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_version;
static PyObject *__pyx_n_s_vx;
static PyObject *__pyx_n_s_vx_tmp;
static PyObject *__pyx_n_s_warn;
static PyObject *__pyx_n_s_warnings;
static PyObject *__pyx_n_s_work;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_x_flat;
static PyObject *__pyx_n_s_x_flat_tmp;
static PyObject *__pyx_n_s_x_tmp;
static PyObject *__pyx_n_s_y;
static PyObject *__pyx_n_s_zeros;
static PyObject *__pyx_float_0_5;
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_2;
static PyObject *__pyx_slice_;
static PyObject *__pyx_slice__2;
static PyObject *__pyx_slice__3;
static PyObject *__pyx_tuple__4;
static PyObject *__pyx_tuple__5;
static PyObject *__pyx_tuple__6;
static PyObject *__pyx_tuple__7;
static PyObject *__pyx_tuple__8;
static PyObject *__pyx_tuple__9;
static PyObject *__pyx_tuple__10;
static PyObject *__pyx_tuple__12;
static PyObject *__pyx_tuple__14;
static PyObject *__pyx_tuple__16;
static PyObject *__pyx_tuple__18;
static PyObject *__pyx_tuple__20;
static PyObject *__pyx_tuple__22;
static PyObject *__pyx_tuple__24;
static PyObject *__pyx_codeobj__11;
static PyObject *__pyx_codeobj__13;
static PyObject *__pyx_codeobj__15;
static PyObject *__pyx_codeobj__17;
static PyObject *__pyx_codeobj__19;
static PyObject *__pyx_codeobj__21;
static PyObject *__pyx_codeobj__23;
static PyObject *__pyx_codeobj__25;

/* "nipy/labs/utils/routines.pyx":50
 * # This is faster than scipy.stats.scoreatpercentile due to partial
 * # sorting
 * def quantile(X, double ratio, int interp=False, int axis=0):             # <<<<<<<<<<<<<<
 *     """
 *     q = quantile(data, ratio, interp=False, axis=0).
 */

/* Python wrapper */
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_1quantile(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_4nipy_4labs_5utils_8routines_quantile[] = "\n    q = quantile(data, ratio, interp=False, axis=0).\n\n    Partial sorting algorithm, very fast!!!\n    ";
static PyMethodDef __pyx_mdef_4nipy_4labs_5utils_8routines_1quantile = {"quantile", (PyCFunction)__pyx_pw_4nipy_4labs_5utils_8routines_1quantile, METH_VARARGS|METH_KEYWORDS, __pyx_doc_4nipy_4labs_5utils_8routines_quantile};
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_1quantile(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_X = 0;
  double __pyx_v_ratio;
  int __pyx_v_interp;
  int __pyx_v_axis;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("quantile (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_X,&__pyx_n_s_ratio,&__pyx_n_s_interp,&__pyx_n_s_axis,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = PyDict_GetItem(__pyx_kwds, __pyx_n_s_X)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        case  1:
        if (likely((values[1] = PyDict_GetItem(__pyx_kwds, __pyx_n_s_ratio)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("quantile", 0, 2, 4, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
        }
        case  2:
        if (kw_args > 0) {
          PyObject* value = PyDict_GetItem(__pyx_kwds, __pyx_n_s_interp);
          if (value) { values[2] = value; kw_args--; }
        }
        case  3:
        if (kw_args > 0) {
          PyObject* value = PyDict_GetItem(__pyx_kwds, __pyx_n_s_axis);
          if (value) { values[3] = value; kw_args--; }
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "quantile") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
    } else {
      switch (PyTuple_GET_SIZE(__pyx_args)) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        break;
        default: goto __pyx_L5_argtuple_error;
      }
    }
    __pyx_v_X = values[0];
    __pyx_v_ratio = __pyx_PyFloat_AsDouble(values[1]); if (unlikely((__pyx_v_ratio == (double)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    if (values[2]) {
      __pyx_v_interp = __Pyx_PyInt_As_int(values[2]); if (unlikely((__pyx_v_interp == (int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    } else {
      __pyx_v_interp = ((int)0);
    }
    if (values[3]) {
      __pyx_v_axis = __Pyx_PyInt_As_int(values[3]); if (unlikely((__pyx_v_axis == (int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    } else {
      __pyx_v_axis = ((int)0);
    }
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("quantile", 0, 2, 4, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
  __pyx_L3_error:;
  __Pyx_AddTraceback("nipy.labs.utils.routines.quantile", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_4nipy_4labs_5utils_8routines_quantile(__pyx_self, __pyx_v_X, __pyx_v_ratio, __pyx_v_interp, __pyx_v_axis);

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_quantile(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_X, double __pyx_v_ratio, int __pyx_v_interp, int __pyx_v_axis) {
  fff_vector *__pyx_v_x;
  fff_vector *__pyx_v_y;
  fffpy_multi_iterator *__pyx_v_multi;
  PyObject *__pyx_v_dims = NULL;
  PyObject *__pyx_v_Y = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("quantile", 0);

  /* "nipy/labs/utils/routines.pyx":60
 * 
 *     # Allocate output array Y
 *     dims = list(X.shape)             # <<<<<<<<<<<<<<
 *     dims[axis] = 1
 *     Y = np.zeros(dims)
 */
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_v_X, __pyx_n_s_shape); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 60; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PySequence_List(__pyx_t_1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 60; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_dims = ((PyObject*)__pyx_t_2);
  __pyx_t_2 = 0;

  /* "nipy/labs/utils/routines.pyx":61
 *     # Allocate output array Y
 *     dims = list(X.shape)
 *     dims[axis] = 1             # <<<<<<<<<<<<<<
 *     Y = np.zeros(dims)
 * 
 */
  if (unlikely(__Pyx_SetItemInt(__pyx_v_dims, __pyx_v_axis, __pyx_int_1, int, 1, __Pyx_PyInt_From_int, 1, 1, 1) < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 61; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

  /* "nipy/labs/utils/routines.pyx":62
 *     dims = list(X.shape)
 *     dims[axis] = 1
 *     Y = np.zeros(dims)             # <<<<<<<<<<<<<<
 * 
 *     # Create a new array iterator
 */
  __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 62; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_zeros); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 62; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = NULL;
  if (CYTHON_COMPILING_IN_CPYTHON && unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_1)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
    }
  }
  if (!__pyx_t_1) {
    __pyx_t_2 = __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_v_dims); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 62; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
  } else {
    __pyx_t_4 = PyTuple_New(1+1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 62; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_1); __Pyx_GIVEREF(__pyx_t_1); __pyx_t_1 = NULL;
    __Pyx_INCREF(__pyx_v_dims);
    PyTuple_SET_ITEM(__pyx_t_4, 0+1, __pyx_v_dims);
    __Pyx_GIVEREF(__pyx_v_dims);
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_4, NULL); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 62; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  }
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_v_Y = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "nipy/labs/utils/routines.pyx":65
 * 
 *     # Create a new array iterator
 *     multi = fffpy_multi_iterator_new(2, axis, <void*>X, <void*>Y)             # <<<<<<<<<<<<<<
 * 
 *     # Create vector views on both X and Y
 */
  __pyx_v_multi = fffpy_multi_iterator_new(2, __pyx_v_axis, ((void *)__pyx_v_X), ((void *)__pyx_v_Y));

  /* "nipy/labs/utils/routines.pyx":68
 * 
 *     # Create vector views on both X and Y
 *     x = multi.vector[0]             # <<<<<<<<<<<<<<
 *     y = multi.vector[1]
 * 
 */
  __pyx_v_x = (__pyx_v_multi->vector[0]);

  /* "nipy/labs/utils/routines.pyx":69
 *     # Create vector views on both X and Y
 *     x = multi.vector[0]
 *     y = multi.vector[1]             # <<<<<<<<<<<<<<
 * 
 *     # Loop
 */
  __pyx_v_y = (__pyx_v_multi->vector[1]);

  /* "nipy/labs/utils/routines.pyx":72
 * 
 *     # Loop
 *     while(multi.index < multi.size):             # <<<<<<<<<<<<<<
 *         y.data[0] = fff_vector_quantile(x, ratio, interp)
 *         fffpy_multi_iterator_update(multi)
 */
  while (1) {
    __pyx_t_5 = ((__pyx_v_multi->index < __pyx_v_multi->size) != 0);
    if (!__pyx_t_5) break;

    /* "nipy/labs/utils/routines.pyx":73
 *     # Loop
 *     while(multi.index < multi.size):
 *         y.data[0] = fff_vector_quantile(x, ratio, interp)             # <<<<<<<<<<<<<<
 *         fffpy_multi_iterator_update(multi)
 * 
 */
    (__pyx_v_y->data[0]) = fff_vector_quantile(__pyx_v_x, __pyx_v_ratio, __pyx_v_interp);

    /* "nipy/labs/utils/routines.pyx":74
 *     while(multi.index < multi.size):
 *         y.data[0] = fff_vector_quantile(x, ratio, interp)
 *         fffpy_multi_iterator_update(multi)             # <<<<<<<<<<<<<<
 * 
 *     # Delete local structures
 */
    fffpy_multi_iterator_update(__pyx_v_multi);
  }

  /* "nipy/labs/utils/routines.pyx":77
 * 
 *     # Delete local structures
 *     fffpy_multi_iterator_delete(multi)             # <<<<<<<<<<<<<<
 *     return Y
 * 
 */
  fffpy_multi_iterator_delete(__pyx_v_multi);

  /* "nipy/labs/utils/routines.pyx":78
 *     # Delete local structures
 *     fffpy_multi_iterator_delete(multi)
 *     return Y             # <<<<<<<<<<<<<<
 * 
 * # This is faster than numpy.stats
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_Y);
  __pyx_r = __pyx_v_Y;
  goto __pyx_L0;

  /* "nipy/labs/utils/routines.pyx":50
 * # This is faster than scipy.stats.scoreatpercentile due to partial
 * # sorting
 * def quantile(X, double ratio, int interp=False, int axis=0):             # <<<<<<<<<<<<<<
 *     """
 *     q = quantile(data, ratio, interp=False, axis=0).
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("nipy.labs.utils.routines.quantile", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_dims);
  __Pyx_XDECREF(__pyx_v_Y);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "nipy/labs/utils/routines.pyx":83
 * # due to the underlying algorithm that relies on
 * # partial sorting as opposed to full sorting.
 * def median(x, axis=0):             # <<<<<<<<<<<<<<
 *     """
 *     median(x, axis=0).
 */

/* Python wrapper */
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_3median(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_4nipy_4labs_5utils_8routines_2median[] = "\n    median(x, axis=0).\n    Equivalent to: quantile(x, ratio=0.5, interp=True, axis=axis).\n    ";
static PyMethodDef __pyx_mdef_4nipy_4labs_5utils_8routines_3median = {"median", (PyCFunction)__pyx_pw_4nipy_4labs_5utils_8routines_3median, METH_VARARGS|METH_KEYWORDS, __pyx_doc_4nipy_4labs_5utils_8routines_2median};
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_3median(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_x = 0;
  PyObject *__pyx_v_axis = 0;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("median (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_x,&__pyx_n_s_axis,0};
    PyObject* values[2] = {0,0};
    values[1] = ((PyObject *)__pyx_int_0);
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = PyDict_GetItem(__pyx_kwds, __pyx_n_s_x)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        case  1:
        if (kw_args > 0) {
          PyObject* value = PyDict_GetItem(__pyx_kwds, __pyx_n_s_axis);
          if (value) { values[1] = value; kw_args--; }
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "median") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 83; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
    } else {
      switch (PyTuple_GET_SIZE(__pyx_args)) {
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        break;
        default: goto __pyx_L5_argtuple_error;
      }
    }
    __pyx_v_x = values[0];
    __pyx_v_axis = values[1];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("median", 0, 1, 2, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 83; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
  __pyx_L3_error:;
  __Pyx_AddTraceback("nipy.labs.utils.routines.median", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_4nipy_4labs_5utils_8routines_2median(__pyx_self, __pyx_v_x, __pyx_v_axis);

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_2median(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_x, PyObject *__pyx_v_axis) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("median", 0);

  /* "nipy/labs/utils/routines.pyx":88
 *     Equivalent to: quantile(x, ratio=0.5, interp=True, axis=axis).
 *     """
 *     return quantile(x, axis=axis, ratio=0.5, interp=True)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_quantile); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 88; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyTuple_New(1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 88; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_x);
  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_x);
  __Pyx_GIVEREF(__pyx_v_x);
  __pyx_t_3 = PyDict_New(); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 88; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_axis, __pyx_v_axis) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 88; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_ratio, __pyx_float_0_5) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 88; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_interp, Py_True) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 88; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 88; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_r = __pyx_t_4;
  __pyx_t_4 = 0;
  goto __pyx_L0;

  /* "nipy/labs/utils/routines.pyx":83
 * # due to the underlying algorithm that relies on
 * # partial sorting as opposed to full sorting.
 * def median(x, axis=0):             # <<<<<<<<<<<<<<
 *     """
 *     median(x, axis=0).
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("nipy.labs.utils.routines.median", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "nipy/labs/utils/routines.pyx":91
 * 
 * 
 * def mahalanobis(X, VX):             # <<<<<<<<<<<<<<
 *     """
 *     d2 = mahalanobis(X, VX).
 */

/* Python wrapper */
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_5mahalanobis(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_4nipy_4labs_5utils_8routines_4mahalanobis[] = "\n    d2 = mahalanobis(X, VX).\n\n    ufunc-like function to compute Mahalanobis squared distances\n    x'*inv(Vx)*x.  \n\n    axis == 0 assumed. If X is shaped (d,K), VX must be shaped\n    (d,d,K).\n    ";
static PyMethodDef __pyx_mdef_4nipy_4labs_5utils_8routines_5mahalanobis = {"mahalanobis", (PyCFunction)__pyx_pw_4nipy_4labs_5utils_8routines_5mahalanobis, METH_VARARGS|METH_KEYWORDS, __pyx_doc_4nipy_4labs_5utils_8routines_4mahalanobis};
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_5mahalanobis(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_X = 0;
  PyObject *__pyx_v_VX = 0;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("mahalanobis (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_X,&__pyx_n_s_VX,0};
    PyObject* values[2] = {0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = PyDict_GetItem(__pyx_kwds, __pyx_n_s_X)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        case  1:
        if (likely((values[1] = PyDict_GetItem(__pyx_kwds, __pyx_n_s_VX)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("mahalanobis", 1, 2, 2, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "mahalanobis") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 2) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
    }
    __pyx_v_X = values[0];
    __pyx_v_VX = values[1];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("mahalanobis", 1, 2, 2, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
  __pyx_L3_error:;
  __Pyx_AddTraceback("nipy.labs.utils.routines.mahalanobis", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_4nipy_4labs_5utils_8routines_4mahalanobis(__pyx_self, __pyx_v_X, __pyx_v_VX);

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_4mahalanobis(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_X, PyObject *__pyx_v_VX) {
  fff_vector *__pyx_v_x;
  fff_vector *__pyx_v_vx;
  fff_vector *__pyx_v_x_tmp;
  fff_vector *__pyx_v_vx_tmp;
  fff_vector *__pyx_v_d2;
  fff_matrix __pyx_v_Sx;
  fff_matrix *__pyx_v_Sx_tmp;
  fffpy_multi_iterator *__pyx_v_multi;
  int __pyx_v_axis;
  int __pyx_v_n;
  PyObject *__pyx_v_dims = NULL;
  PyObject *__pyx_v_dim = NULL;
  PyObject *__pyx_v_D2 = NULL;
  PyObject *__pyx_v_VX_flat = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  int __pyx_t_6;
  int __pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("mahalanobis", 0);

  /* "nipy/labs/utils/routines.pyx":105
 *     cdef fff_matrix *Sx_tmp
 *     cdef fffpy_multi_iterator* multi
 *     cdef int axis=0, n             # <<<<<<<<<<<<<<
 * 
 *     # Allocate output array
 */
  __pyx_v_axis = 0;

  /* "nipy/labs/utils/routines.pyx":108
 * 
 *     # Allocate output array
 *     dims = list(X.shape)             # <<<<<<<<<<<<<<
 *     dim = dims[0]
 *     dims[0] = 1
 */
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_v_X, __pyx_n_s_shape); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 108; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PySequence_List(__pyx_t_1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 108; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_dims = ((PyObject*)__pyx_t_2);
  __pyx_t_2 = 0;

  /* "nipy/labs/utils/routines.pyx":109
 *     # Allocate output array
 *     dims = list(X.shape)
 *     dim = dims[0]             # <<<<<<<<<<<<<<
 *     dims[0] = 1
 *     D2 = np.zeros(dims)
 */
  __pyx_t_2 = __Pyx_GetItemInt_List(__pyx_v_dims, 0, long, 1, __Pyx_PyInt_From_long, 1, 0, 1); if (unlikely(__pyx_t_2 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 109; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_v_dim = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "nipy/labs/utils/routines.pyx":110
 *     dims = list(X.shape)
 *     dim = dims[0]
 *     dims[0] = 1             # <<<<<<<<<<<<<<
 *     D2 = np.zeros(dims)
 * 
 */
  if (unlikely(__Pyx_SetItemInt(__pyx_v_dims, 0, __pyx_int_1, long, 1, __Pyx_PyInt_From_long, 1, 0, 1) < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 110; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

  /* "nipy/labs/utils/routines.pyx":111
 *     dim = dims[0]
 *     dims[0] = 1
 *     D2 = np.zeros(dims)             # <<<<<<<<<<<<<<
 * 
 *     # Flatten input variance array
 */
  __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 111; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_zeros); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 111; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = NULL;
  if (CYTHON_COMPILING_IN_CPYTHON && unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_1)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
    }
  }
  if (!__pyx_t_1) {
    __pyx_t_2 = __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_v_dims); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 111; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
  } else {
    __pyx_t_4 = PyTuple_New(1+1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 111; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_1); __Pyx_GIVEREF(__pyx_t_1); __pyx_t_1 = NULL;
    __Pyx_INCREF(__pyx_v_dims);
    PyTuple_SET_ITEM(__pyx_t_4, 0+1, __pyx_v_dims);
    __Pyx_GIVEREF(__pyx_v_dims);
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_4, NULL); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 111; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  }
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_v_D2 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "nipy/labs/utils/routines.pyx":114
 * 
 *     # Flatten input variance array
 *     VX_flat = VX.reshape( [dim*dim]+list(VX.shape[2:]) )             # <<<<<<<<<<<<<<
 * 
 *     # Create a new array iterator
 */
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_v_VX, __pyx_n_s_reshape); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = PyNumber_Multiply(__pyx_v_dim, __pyx_v_dim); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_1 = PyList_New(1); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_4);
  __Pyx_GIVEREF(__pyx_t_4);
  __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_v_VX, __pyx_n_s_shape); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __Pyx_PyObject_GetSlice(__pyx_t_4, 2, 0, NULL, NULL, &__pyx_slice_, 1, 0, 1); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PySequence_List(__pyx_t_5); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = PyNumber_Add(__pyx_t_1, __pyx_t_4); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = NULL;
  if (CYTHON_COMPILING_IN_CPYTHON && likely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_4 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_4)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_4);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
    }
  }
  if (!__pyx_t_4) {
    __pyx_t_2 = __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_5); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_GOTREF(__pyx_t_2);
  } else {
    __pyx_t_1 = PyTuple_New(1+1); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_4); __Pyx_GIVEREF(__pyx_t_4); __pyx_t_4 = NULL;
    PyTuple_SET_ITEM(__pyx_t_1, 0+1, __pyx_t_5);
    __Pyx_GIVEREF(__pyx_t_5);
    __pyx_t_5 = 0;
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_1, NULL); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  }
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_v_VX_flat = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "nipy/labs/utils/routines.pyx":117
 * 
 *     # Create a new array iterator
 *     multi = fffpy_multi_iterator_new(3, axis, <void*>X, <void*>VX_flat, <void*>D2)             # <<<<<<<<<<<<<<
 * 
 *     # Allocate local structures
 */
  __pyx_v_multi = fffpy_multi_iterator_new(3, __pyx_v_axis, ((void *)__pyx_v_X), ((void *)__pyx_v_VX_flat), ((void *)__pyx_v_D2));

  /* "nipy/labs/utils/routines.pyx":120
 * 
 *     # Allocate local structures
 *     n = <int> X.shape[axis]             # <<<<<<<<<<<<<<
 *     x_tmp = fff_vector_new(n)
 *     vx_tmp = fff_vector_new(n*n)
 */
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_v_X, __pyx_n_s_shape); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 120; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_t_2, __pyx_v_axis, int, 1, __Pyx_PyInt_From_int, 0, 1, 1); if (unlikely(__pyx_t_3 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 120; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_6 = __Pyx_PyInt_As_int(__pyx_t_3); if (unlikely((__pyx_t_6 == (int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 120; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_v_n = ((int)__pyx_t_6);

  /* "nipy/labs/utils/routines.pyx":121
 *     # Allocate local structures
 *     n = <int> X.shape[axis]
 *     x_tmp = fff_vector_new(n)             # <<<<<<<<<<<<<<
 *     vx_tmp = fff_vector_new(n*n)
 *     Sx_tmp = fff_matrix_new(n, n)
 */
  __pyx_v_x_tmp = fff_vector_new(__pyx_v_n);

  /* "nipy/labs/utils/routines.pyx":122
 *     n = <int> X.shape[axis]
 *     x_tmp = fff_vector_new(n)
 *     vx_tmp = fff_vector_new(n*n)             # <<<<<<<<<<<<<<
 *     Sx_tmp = fff_matrix_new(n, n)
 * 
 */
  __pyx_v_vx_tmp = fff_vector_new((__pyx_v_n * __pyx_v_n));

  /* "nipy/labs/utils/routines.pyx":123
 *     x_tmp = fff_vector_new(n)
 *     vx_tmp = fff_vector_new(n*n)
 *     Sx_tmp = fff_matrix_new(n, n)             # <<<<<<<<<<<<<<
 * 
 *     # Create vector views on X, VX_flat and D2
 */
  __pyx_v_Sx_tmp = fff_matrix_new(__pyx_v_n, __pyx_v_n);

  /* "nipy/labs/utils/routines.pyx":126
 * 
 *     # Create vector views on X, VX_flat and D2
 *     x = multi.vector[0]             # <<<<<<<<<<<<<<
 *     vx = multi.vector[1]
 *     d2 = multi.vector[2]
 */
  __pyx_v_x = (__pyx_v_multi->vector[0]);

  /* "nipy/labs/utils/routines.pyx":127
 *     # Create vector views on X, VX_flat and D2
 *     x = multi.vector[0]
 *     vx = multi.vector[1]             # <<<<<<<<<<<<<<
 *     d2 = multi.vector[2]
 * 
 */
  __pyx_v_vx = (__pyx_v_multi->vector[1]);

  /* "nipy/labs/utils/routines.pyx":128
 *     x = multi.vector[0]
 *     vx = multi.vector[1]
 *     d2 = multi.vector[2]             # <<<<<<<<<<<<<<
 * 
 *     # Loop
 */
  __pyx_v_d2 = (__pyx_v_multi->vector[2]);

  /* "nipy/labs/utils/routines.pyx":131
 * 
 *     # Loop
 *     while(multi.index < multi.size):             # <<<<<<<<<<<<<<
 *         fff_vector_memcpy(x_tmp, x)
 *         fff_vector_memcpy(vx_tmp, vx)
 */
  while (1) {
    __pyx_t_7 = ((__pyx_v_multi->index < __pyx_v_multi->size) != 0);
    if (!__pyx_t_7) break;

    /* "nipy/labs/utils/routines.pyx":132
 *     # Loop
 *     while(multi.index < multi.size):
 *         fff_vector_memcpy(x_tmp, x)             # <<<<<<<<<<<<<<
 *         fff_vector_memcpy(vx_tmp, vx)
 *         Sx = fff_matrix_view(vx_tmp.data, n, n, n) # OK because vx_tmp is contiguous
 */
    fff_vector_memcpy(__pyx_v_x_tmp, __pyx_v_x);

    /* "nipy/labs/utils/routines.pyx":133
 *     while(multi.index < multi.size):
 *         fff_vector_memcpy(x_tmp, x)
 *         fff_vector_memcpy(vx_tmp, vx)             # <<<<<<<<<<<<<<
 *         Sx = fff_matrix_view(vx_tmp.data, n, n, n) # OK because vx_tmp is contiguous
 *         d2.data[0] = fff_mahalanobis(x_tmp, &Sx, Sx_tmp)
 */
    fff_vector_memcpy(__pyx_v_vx_tmp, __pyx_v_vx);

    /* "nipy/labs/utils/routines.pyx":134
 *         fff_vector_memcpy(x_tmp, x)
 *         fff_vector_memcpy(vx_tmp, vx)
 *         Sx = fff_matrix_view(vx_tmp.data, n, n, n) # OK because vx_tmp is contiguous             # <<<<<<<<<<<<<<
 *         d2.data[0] = fff_mahalanobis(x_tmp, &Sx, Sx_tmp)
 *         fffpy_multi_iterator_update(multi)
 */
    __pyx_v_Sx = fff_matrix_view(__pyx_v_vx_tmp->data, __pyx_v_n, __pyx_v_n, __pyx_v_n);

    /* "nipy/labs/utils/routines.pyx":135
 *         fff_vector_memcpy(vx_tmp, vx)
 *         Sx = fff_matrix_view(vx_tmp.data, n, n, n) # OK because vx_tmp is contiguous
 *         d2.data[0] = fff_mahalanobis(x_tmp, &Sx, Sx_tmp)             # <<<<<<<<<<<<<<
 *         fffpy_multi_iterator_update(multi)
 * 
 */
    (__pyx_v_d2->data[0]) = fff_mahalanobis(__pyx_v_x_tmp, (&__pyx_v_Sx), __pyx_v_Sx_tmp);

    /* "nipy/labs/utils/routines.pyx":136
 *         Sx = fff_matrix_view(vx_tmp.data, n, n, n) # OK because vx_tmp is contiguous
 *         d2.data[0] = fff_mahalanobis(x_tmp, &Sx, Sx_tmp)
 *         fffpy_multi_iterator_update(multi)             # <<<<<<<<<<<<<<
 * 
 *     # Delete local structs and views
 */
    fffpy_multi_iterator_update(__pyx_v_multi);
  }

  /* "nipy/labs/utils/routines.pyx":139
 * 
 *     # Delete local structs and views
 *     fff_vector_delete(x_tmp)             # <<<<<<<<<<<<<<
 *     fff_vector_delete(vx_tmp)
 *     fff_matrix_delete(Sx_tmp)
 */
  fff_vector_delete(__pyx_v_x_tmp);

  /* "nipy/labs/utils/routines.pyx":140
 *     # Delete local structs and views
 *     fff_vector_delete(x_tmp)
 *     fff_vector_delete(vx_tmp)             # <<<<<<<<<<<<<<
 *     fff_matrix_delete(Sx_tmp)
 *     fffpy_multi_iterator_delete(multi)
 */
  fff_vector_delete(__pyx_v_vx_tmp);

  /* "nipy/labs/utils/routines.pyx":141
 *     fff_vector_delete(x_tmp)
 *     fff_vector_delete(vx_tmp)
 *     fff_matrix_delete(Sx_tmp)             # <<<<<<<<<<<<<<
 *     fffpy_multi_iterator_delete(multi)
 * 
 */
  fff_matrix_delete(__pyx_v_Sx_tmp);

  /* "nipy/labs/utils/routines.pyx":142
 *     fff_vector_delete(vx_tmp)
 *     fff_matrix_delete(Sx_tmp)
 *     fffpy_multi_iterator_delete(multi)             # <<<<<<<<<<<<<<
 * 
 *     # Return
 */
  fffpy_multi_iterator_delete(__pyx_v_multi);

  /* "nipy/labs/utils/routines.pyx":145
 * 
 *     # Return
 *     D2 = D2.reshape(VX.shape[2:])             # <<<<<<<<<<<<<<
 *     return D2
 * 
 */
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_v_D2, __pyx_n_s_reshape); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 145; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_v_VX, __pyx_n_s_shape); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 145; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_5 = __Pyx_PyObject_GetSlice(__pyx_t_1, 2, 0, NULL, NULL, &__pyx_slice__2, 1, 0, 1); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 145; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = NULL;
  if (CYTHON_COMPILING_IN_CPYTHON && likely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_1)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
    }
  }
  if (!__pyx_t_1) {
    __pyx_t_3 = __Pyx_PyObject_CallOneArg(__pyx_t_2, __pyx_t_5); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 145; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_GOTREF(__pyx_t_3);
  } else {
    __pyx_t_4 = PyTuple_New(1+1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 145; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_1); __Pyx_GIVEREF(__pyx_t_1); __pyx_t_1 = NULL;
    PyTuple_SET_ITEM(__pyx_t_4, 0+1, __pyx_t_5);
    __Pyx_GIVEREF(__pyx_t_5);
    __pyx_t_5 = 0;
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_4, NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 145; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  }
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF_SET(__pyx_v_D2, __pyx_t_3);
  __pyx_t_3 = 0;

  /* "nipy/labs/utils/routines.pyx":146
 *     # Return
 *     D2 = D2.reshape(VX.shape[2:])
 *     return D2             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_D2);
  __pyx_r = __pyx_v_D2;
  goto __pyx_L0;

  /* "nipy/labs/utils/routines.pyx":91
 * 
 * 
 * def mahalanobis(X, VX):             # <<<<<<<<<<<<<<
 *     """
 *     d2 = mahalanobis(X, VX).
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("nipy.labs.utils.routines.mahalanobis", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_dims);
  __Pyx_XDECREF(__pyx_v_dim);
  __Pyx_XDECREF(__pyx_v_D2);
  __Pyx_XDECREF(__pyx_v_VX_flat);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "nipy/labs/utils/routines.pyx":149
 * 
 * 
 * def svd(X):             # <<<<<<<<<<<<<<
 *     """ Singular value decomposition of array `X`
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_7svd(PyObject *__pyx_self, PyObject *__pyx_v_X); /*proto*/
static char __pyx_doc_4nipy_4labs_5utils_8routines_6svd[] = " Singular value decomposition of array `X`\n\n    Y = svd(X)\n\n    ufunc-like svd. Given an array X (m, n, K), perform an SV decomposition.\n\n    Parameters\n    ----------\n    X : 2D array\n\n    Returns\n    -------\n    S : (min(m,n), K)\n    ";
static PyMethodDef __pyx_mdef_4nipy_4labs_5utils_8routines_7svd = {"svd", (PyCFunction)__pyx_pw_4nipy_4labs_5utils_8routines_7svd, METH_O, __pyx_doc_4nipy_4labs_5utils_8routines_6svd};
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_7svd(PyObject *__pyx_self, PyObject *__pyx_v_X) {
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("svd (wrapper)", 0);
  __pyx_r = __pyx_pf_4nipy_4labs_5utils_8routines_6svd(__pyx_self, ((PyObject *)__pyx_v_X));

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_6svd(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_X) {
  int __pyx_v_axis;
  int __pyx_v_m;
  int __pyx_v_n;
  int __pyx_v_dmin;
  int __pyx_v_dmax;
  int __pyx_v_lwork;
  int __pyx_v_liwork;
  CYTHON_UNUSED int __pyx_v_info;
  fff_vector *__pyx_v_work;
  fff_vector *__pyx_v_x_flat;
  fff_vector *__pyx_v_x_flat_tmp;
  fff_vector *__pyx_v_s;
  fff_vector *__pyx_v_s_tmp;
  fff_matrix __pyx_v_x;
  fff_array *__pyx_v_iwork;
  fff_matrix *__pyx_v_Aux;
  fff_matrix *__pyx_v_U;
  fff_matrix *__pyx_v_Vt;
  fffpy_multi_iterator *__pyx_v_multi;
  PyObject *__pyx_v_endims = NULL;
  PyObject *__pyx_v_S = NULL;
  PyObject *__pyx_v_X_flat = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  int __pyx_t_3;
  int __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("svd", 0);

  /* "nipy/labs/utils/routines.pyx":164
 *     S : (min(m,n), K)
 *     """
 *     cdef int axis=0             # <<<<<<<<<<<<<<
 *     cdef int m, n, dmin, dmax, lwork, liwork, info
 *     cdef fff_vector *work, *x_flat, *x_flat_tmp, *s, *s_tmp
 */
  __pyx_v_axis = 0;

  /* "nipy/labs/utils/routines.pyx":173
 * 
 *     # Shape of matrices
 *     m = <int> X.shape[0]             # <<<<<<<<<<<<<<
 *     n = <int> X.shape[1]
 *     if m > n:
 */
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_v_X, __pyx_n_s_shape); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 173; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_t_1, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(__pyx_t_2 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 173; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_3 = __Pyx_PyInt_As_int(__pyx_t_2); if (unlikely((__pyx_t_3 == (int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 173; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_m = ((int)__pyx_t_3);

  /* "nipy/labs/utils/routines.pyx":174
 *     # Shape of matrices
 *     m = <int> X.shape[0]
 *     n = <int> X.shape[1]             # <<<<<<<<<<<<<<
 *     if m > n:
 *         dmin = n
 */
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_v_X, __pyx_n_s_shape); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 174; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_t_2, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(__pyx_t_1 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 174; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_3 = __Pyx_PyInt_As_int(__pyx_t_1); if (unlikely((__pyx_t_3 == (int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 174; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_n = ((int)__pyx_t_3);

  /* "nipy/labs/utils/routines.pyx":175
 *     m = <int> X.shape[0]
 *     n = <int> X.shape[1]
 *     if m > n:             # <<<<<<<<<<<<<<
 *         dmin = n
 *         dmax = m
 */
  __pyx_t_4 = ((__pyx_v_m > __pyx_v_n) != 0);
  if (__pyx_t_4) {

    /* "nipy/labs/utils/routines.pyx":176
 *     n = <int> X.shape[1]
 *     if m > n:
 *         dmin = n             # <<<<<<<<<<<<<<
 *         dmax = m
 *     else:
 */
    __pyx_v_dmin = __pyx_v_n;

    /* "nipy/labs/utils/routines.pyx":177
 *     if m > n:
 *         dmin = n
 *         dmax = m             # <<<<<<<<<<<<<<
 *     else:
 *         dmin = m
 */
    __pyx_v_dmax = __pyx_v_m;
    goto __pyx_L3;
  }
  /*else*/ {

    /* "nipy/labs/utils/routines.pyx":179
 *         dmax = m
 *     else:
 *         dmin = m             # <<<<<<<<<<<<<<
 *         dmax = n
 * 
 */
    __pyx_v_dmin = __pyx_v_m;

    /* "nipy/labs/utils/routines.pyx":180
 *     else:
 *         dmin = m
 *         dmax = n             # <<<<<<<<<<<<<<
 * 
 *     # Create auxiliary arrays
 */
    __pyx_v_dmax = __pyx_v_n;
  }
  __pyx_L3:;

  /* "nipy/labs/utils/routines.pyx":183
 * 
 *     # Create auxiliary arrays
 *     lwork = 4*dmin*(dmin+1)             # <<<<<<<<<<<<<<
 *     if dmax > lwork:
 *         lwork = dmax
 */
  __pyx_v_lwork = ((4 * __pyx_v_dmin) * (__pyx_v_dmin + 1));

  /* "nipy/labs/utils/routines.pyx":184
 *     # Create auxiliary arrays
 *     lwork = 4*dmin*(dmin+1)
 *     if dmax > lwork:             # <<<<<<<<<<<<<<
 *         lwork = dmax
 *     lwork = 2*(3*dmin*dmin + lwork)
 */
  __pyx_t_4 = ((__pyx_v_dmax > __pyx_v_lwork) != 0);
  if (__pyx_t_4) {

    /* "nipy/labs/utils/routines.pyx":185
 *     lwork = 4*dmin*(dmin+1)
 *     if dmax > lwork:
 *         lwork = dmax             # <<<<<<<<<<<<<<
 *     lwork = 2*(3*dmin*dmin + lwork)
 *     liwork = 8*dmin
 */
    __pyx_v_lwork = __pyx_v_dmax;
    goto __pyx_L4;
  }
  __pyx_L4:;

  /* "nipy/labs/utils/routines.pyx":186
 *     if dmax > lwork:
 *         lwork = dmax
 *     lwork = 2*(3*dmin*dmin + lwork)             # <<<<<<<<<<<<<<
 *     liwork = 8*dmin
 *     work = fff_vector_new(lwork)
 */
  __pyx_v_lwork = (2 * (((3 * __pyx_v_dmin) * __pyx_v_dmin) + __pyx_v_lwork));

  /* "nipy/labs/utils/routines.pyx":187
 *         lwork = dmax
 *     lwork = 2*(3*dmin*dmin + lwork)
 *     liwork = 8*dmin             # <<<<<<<<<<<<<<
 *     work = fff_vector_new(lwork)
 *     iwork = fff_array_new1d(FFF_INT, liwork)
 */
  __pyx_v_liwork = (8 * __pyx_v_dmin);

  /* "nipy/labs/utils/routines.pyx":188
 *     lwork = 2*(3*dmin*dmin + lwork)
 *     liwork = 8*dmin
 *     work = fff_vector_new(lwork)             # <<<<<<<<<<<<<<
 *     iwork = fff_array_new1d(FFF_INT, liwork)
 *     Aux = fff_matrix_new(dmax, dmax)
 */
  __pyx_v_work = fff_vector_new(__pyx_v_lwork);

  /* "nipy/labs/utils/routines.pyx":189
 *     liwork = 8*dmin
 *     work = fff_vector_new(lwork)
 *     iwork = fff_array_new1d(FFF_INT, liwork)             # <<<<<<<<<<<<<<
 *     Aux = fff_matrix_new(dmax, dmax)
 *     U = fff_matrix_new(m, m)
 */
  __pyx_v_iwork = fff_array_new1d(FFF_INT, __pyx_v_liwork);

  /* "nipy/labs/utils/routines.pyx":190
 *     work = fff_vector_new(lwork)
 *     iwork = fff_array_new1d(FFF_INT, liwork)
 *     Aux = fff_matrix_new(dmax, dmax)             # <<<<<<<<<<<<<<
 *     U = fff_matrix_new(m, m)
 *     Vt = fff_matrix_new(n, n)
 */
  __pyx_v_Aux = fff_matrix_new(__pyx_v_dmax, __pyx_v_dmax);

  /* "nipy/labs/utils/routines.pyx":191
 *     iwork = fff_array_new1d(FFF_INT, liwork)
 *     Aux = fff_matrix_new(dmax, dmax)
 *     U = fff_matrix_new(m, m)             # <<<<<<<<<<<<<<
 *     Vt = fff_matrix_new(n, n)
 *     x_flat_tmp = fff_vector_new(m*n)
 */
  __pyx_v_U = fff_matrix_new(__pyx_v_m, __pyx_v_m);

  /* "nipy/labs/utils/routines.pyx":192
 *     Aux = fff_matrix_new(dmax, dmax)
 *     U = fff_matrix_new(m, m)
 *     Vt = fff_matrix_new(n, n)             # <<<<<<<<<<<<<<
 *     x_flat_tmp = fff_vector_new(m*n)
 *     s_tmp = fff_vector_new(dmin)
 */
  __pyx_v_Vt = fff_matrix_new(__pyx_v_n, __pyx_v_n);

  /* "nipy/labs/utils/routines.pyx":193
 *     U = fff_matrix_new(m, m)
 *     Vt = fff_matrix_new(n, n)
 *     x_flat_tmp = fff_vector_new(m*n)             # <<<<<<<<<<<<<<
 *     s_tmp = fff_vector_new(dmin)
 * 
 */
  __pyx_v_x_flat_tmp = fff_vector_new((__pyx_v_m * __pyx_v_n));

  /* "nipy/labs/utils/routines.pyx":194
 *     Vt = fff_matrix_new(n, n)
 *     x_flat_tmp = fff_vector_new(m*n)
 *     s_tmp = fff_vector_new(dmin)             # <<<<<<<<<<<<<<
 * 
 *     # Allocate output array
 */
  __pyx_v_s_tmp = fff_vector_new(__pyx_v_dmin);

  /* "nipy/labs/utils/routines.pyx":197
 * 
 *     # Allocate output array
 *     endims = list(X.shape[2:])             # <<<<<<<<<<<<<<
 *     S = np.zeros([dmin]+endims)
 * 
 */
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_v_X, __pyx_n_s_shape); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 197; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_GetSlice(__pyx_t_1, 2, 0, NULL, NULL, &__pyx_slice__3, 1, 0, 1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 197; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PySequence_List(__pyx_t_2); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 197; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_endims = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "nipy/labs/utils/routines.pyx":198
 *     # Allocate output array
 *     endims = list(X.shape[2:])
 *     S = np.zeros([dmin]+endims)             # <<<<<<<<<<<<<<
 * 
 *     # Flatten input array
 */
  __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 198; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_zeros); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 198; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyInt_From_int(__pyx_v_dmin); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 198; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_6 = PyList_New(1); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 198; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_6);
  PyList_SET_ITEM(__pyx_t_6, 0, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_2);
  __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_6, __pyx_v_endims); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 198; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_6 = NULL;
  if (CYTHON_COMPILING_IN_CPYTHON && unlikely(PyMethod_Check(__pyx_t_5))) {
    __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_5);
    if (likely(__pyx_t_6)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_5);
      __Pyx_INCREF(__pyx_t_6);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_5, function);
    }
  }
  if (!__pyx_t_6) {
    __pyx_t_1 = __Pyx_PyObject_CallOneArg(__pyx_t_5, __pyx_t_2); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 198; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else {
    __pyx_t_7 = PyTuple_New(1+1); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 198; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_7);
    PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_t_6); __Pyx_GIVEREF(__pyx_t_6); __pyx_t_6 = NULL;
    PyTuple_SET_ITEM(__pyx_t_7, 0+1, __pyx_t_2);
    __Pyx_GIVEREF(__pyx_t_2);
    __pyx_t_2 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_t_7, NULL); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 198; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  }
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_v_S = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "nipy/labs/utils/routines.pyx":201
 * 
 *     # Flatten input array
 *     X_flat = X.reshape([m*n]+endims)             # <<<<<<<<<<<<<<
 * 
 *     # Create a new array iterator
 */
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_v_X, __pyx_n_s_reshape); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 201; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_7 = __Pyx_PyInt_From_int((__pyx_v_m * __pyx_v_n)); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 201; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_2 = PyList_New(1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 201; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  PyList_SET_ITEM(__pyx_t_2, 0, __pyx_t_7);
  __Pyx_GIVEREF(__pyx_t_7);
  __pyx_t_7 = 0;
  __pyx_t_7 = PyNumber_Add(__pyx_t_2, __pyx_v_endims); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 201; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = NULL;
  if (CYTHON_COMPILING_IN_CPYTHON && likely(PyMethod_Check(__pyx_t_5))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_5);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_5);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_5, function);
    }
  }
  if (!__pyx_t_2) {
    __pyx_t_1 = __Pyx_PyObject_CallOneArg(__pyx_t_5, __pyx_t_7); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 201; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else {
    __pyx_t_6 = PyTuple_New(1+1); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 201; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_6);
    PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_2); __Pyx_GIVEREF(__pyx_t_2); __pyx_t_2 = NULL;
    PyTuple_SET_ITEM(__pyx_t_6, 0+1, __pyx_t_7);
    __Pyx_GIVEREF(__pyx_t_7);
    __pyx_t_7 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_t_6, NULL); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 201; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  }
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_v_X_flat = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "nipy/labs/utils/routines.pyx":204
 * 
 *     # Create a new array iterator
 *     multi = fffpy_multi_iterator_new(2, axis, <void*>X_flat, <void*>S)             # <<<<<<<<<<<<<<
 * 
 *     # Create vector views
 */
  __pyx_v_multi = fffpy_multi_iterator_new(2, __pyx_v_axis, ((void *)__pyx_v_X_flat), ((void *)__pyx_v_S));

  /* "nipy/labs/utils/routines.pyx":207
 * 
 *     # Create vector views
 *     x_flat = multi.vector[0]             # <<<<<<<<<<<<<<
 *     s = multi.vector[1]
 * 
 */
  __pyx_v_x_flat = (__pyx_v_multi->vector[0]);

  /* "nipy/labs/utils/routines.pyx":208
 *     # Create vector views
 *     x_flat = multi.vector[0]
 *     s = multi.vector[1]             # <<<<<<<<<<<<<<
 * 
 *     # Loop
 */
  __pyx_v_s = (__pyx_v_multi->vector[1]);

  /* "nipy/labs/utils/routines.pyx":211
 * 
 *     # Loop
 *     while(multi.index < multi.size):             # <<<<<<<<<<<<<<
 *         fff_vector_memcpy(x_flat_tmp, x_flat)
 *         fff_vector_memcpy(s_tmp, s)
 */
  while (1) {
    __pyx_t_4 = ((__pyx_v_multi->index < __pyx_v_multi->size) != 0);
    if (!__pyx_t_4) break;

    /* "nipy/labs/utils/routines.pyx":212
 *     # Loop
 *     while(multi.index < multi.size):
 *         fff_vector_memcpy(x_flat_tmp, x_flat)             # <<<<<<<<<<<<<<
 *         fff_vector_memcpy(s_tmp, s)
 *         x = fff_matrix_view(x_flat_tmp.data, m, n, n) # OK because x_flat_tmp is contiguous
 */
    fff_vector_memcpy(__pyx_v_x_flat_tmp, __pyx_v_x_flat);

    /* "nipy/labs/utils/routines.pyx":213
 *     while(multi.index < multi.size):
 *         fff_vector_memcpy(x_flat_tmp, x_flat)
 *         fff_vector_memcpy(s_tmp, s)             # <<<<<<<<<<<<<<
 *         x = fff_matrix_view(x_flat_tmp.data, m, n, n) # OK because x_flat_tmp is contiguous
 *         info = fff_lapack_dgesdd(&x, s_tmp, U, Vt, work, iwork, Aux )
 */
    fff_vector_memcpy(__pyx_v_s_tmp, __pyx_v_s);

    /* "nipy/labs/utils/routines.pyx":214
 *         fff_vector_memcpy(x_flat_tmp, x_flat)
 *         fff_vector_memcpy(s_tmp, s)
 *         x = fff_matrix_view(x_flat_tmp.data, m, n, n) # OK because x_flat_tmp is contiguous             # <<<<<<<<<<<<<<
 *         info = fff_lapack_dgesdd(&x, s_tmp, U, Vt, work, iwork, Aux )
 *         fff_vector_memcpy(s, s_tmp)
 */
    __pyx_v_x = fff_matrix_view(__pyx_v_x_flat_tmp->data, __pyx_v_m, __pyx_v_n, __pyx_v_n);

    /* "nipy/labs/utils/routines.pyx":215
 *         fff_vector_memcpy(s_tmp, s)
 *         x = fff_matrix_view(x_flat_tmp.data, m, n, n) # OK because x_flat_tmp is contiguous
 *         info = fff_lapack_dgesdd(&x, s_tmp, U, Vt, work, iwork, Aux )             # <<<<<<<<<<<<<<
 *         fff_vector_memcpy(s, s_tmp)
 *         fffpy_multi_iterator_update(multi)
 */
    __pyx_v_info = fff_lapack_dgesdd((&__pyx_v_x), __pyx_v_s_tmp, __pyx_v_U, __pyx_v_Vt, __pyx_v_work, __pyx_v_iwork, __pyx_v_Aux);

    /* "nipy/labs/utils/routines.pyx":216
 *         x = fff_matrix_view(x_flat_tmp.data, m, n, n) # OK because x_flat_tmp is contiguous
 *         info = fff_lapack_dgesdd(&x, s_tmp, U, Vt, work, iwork, Aux )
 *         fff_vector_memcpy(s, s_tmp)             # <<<<<<<<<<<<<<
 *         fffpy_multi_iterator_update(multi)
 * 
 */
    fff_vector_memcpy(__pyx_v_s, __pyx_v_s_tmp);

    /* "nipy/labs/utils/routines.pyx":217
 *         info = fff_lapack_dgesdd(&x, s_tmp, U, Vt, work, iwork, Aux )
 *         fff_vector_memcpy(s, s_tmp)
 *         fffpy_multi_iterator_update(multi)             # <<<<<<<<<<<<<<
 * 
 *     # Delete local structures
 */
    fffpy_multi_iterator_update(__pyx_v_multi);
  }

  /* "nipy/labs/utils/routines.pyx":220
 * 
 *     # Delete local structures
 *     fff_vector_delete(work)             # <<<<<<<<<<<<<<
 *     fff_vector_delete(x_flat_tmp)
 *     fff_vector_delete(s_tmp)
 */
  fff_vector_delete(__pyx_v_work);

  /* "nipy/labs/utils/routines.pyx":221
 *     # Delete local structures
 *     fff_vector_delete(work)
 *     fff_vector_delete(x_flat_tmp)             # <<<<<<<<<<<<<<
 *     fff_vector_delete(s_tmp)
 *     fff_array_delete(iwork)
 */
  fff_vector_delete(__pyx_v_x_flat_tmp);

  /* "nipy/labs/utils/routines.pyx":222
 *     fff_vector_delete(work)
 *     fff_vector_delete(x_flat_tmp)
 *     fff_vector_delete(s_tmp)             # <<<<<<<<<<<<<<
 *     fff_array_delete(iwork)
 *     fff_matrix_delete(Aux)
 */
  fff_vector_delete(__pyx_v_s_tmp);

  /* "nipy/labs/utils/routines.pyx":223
 *     fff_vector_delete(x_flat_tmp)
 *     fff_vector_delete(s_tmp)
 *     fff_array_delete(iwork)             # <<<<<<<<<<<<<<
 *     fff_matrix_delete(Aux)
 *     fff_matrix_delete(U)
 */
  fff_array_delete(__pyx_v_iwork);

  /* "nipy/labs/utils/routines.pyx":224
 *     fff_vector_delete(s_tmp)
 *     fff_array_delete(iwork)
 *     fff_matrix_delete(Aux)             # <<<<<<<<<<<<<<
 *     fff_matrix_delete(U)
 *     fff_matrix_delete(Vt)
 */
  fff_matrix_delete(__pyx_v_Aux);

  /* "nipy/labs/utils/routines.pyx":225
 *     fff_array_delete(iwork)
 *     fff_matrix_delete(Aux)
 *     fff_matrix_delete(U)             # <<<<<<<<<<<<<<
 *     fff_matrix_delete(Vt)
 *     fffpy_multi_iterator_delete(multi)
 */
  fff_matrix_delete(__pyx_v_U);

  /* "nipy/labs/utils/routines.pyx":226
 *     fff_matrix_delete(Aux)
 *     fff_matrix_delete(U)
 *     fff_matrix_delete(Vt)             # <<<<<<<<<<<<<<
 *     fffpy_multi_iterator_delete(multi)
 * 
 */
  fff_matrix_delete(__pyx_v_Vt);

  /* "nipy/labs/utils/routines.pyx":227
 *     fff_matrix_delete(U)
 *     fff_matrix_delete(Vt)
 *     fffpy_multi_iterator_delete(multi)             # <<<<<<<<<<<<<<
 * 
 *     # Return
 */
  fffpy_multi_iterator_delete(__pyx_v_multi);

  /* "nipy/labs/utils/routines.pyx":230
 * 
 *     # Return
 *     return S             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_S);
  __pyx_r = __pyx_v_S;
  goto __pyx_L0;

  /* "nipy/labs/utils/routines.pyx":149
 * 
 * 
 * def svd(X):             # <<<<<<<<<<<<<<
 *     """ Singular value decomposition of array `X`
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_AddTraceback("nipy.labs.utils.routines.svd", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_endims);
  __Pyx_XDECREF(__pyx_v_S);
  __Pyx_XDECREF(__pyx_v_X_flat);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "nipy/labs/utils/routines.pyx":233
 * 
 * 
 * def permutations(unsigned int n, unsigned int m=1, unsigned long magic=0):             # <<<<<<<<<<<<<<
 *     """
 *     P = permutations(n, m=1, magic=0).
 */

/* Python wrapper */
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_9permutations(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_4nipy_4labs_5utils_8routines_8permutations[] = "\n    P = permutations(n, m=1, magic=0).\n    Generate m permutations from [0..n[.\n    ";
static PyMethodDef __pyx_mdef_4nipy_4labs_5utils_8routines_9permutations = {"permutations", (PyCFunction)__pyx_pw_4nipy_4labs_5utils_8routines_9permutations, METH_VARARGS|METH_KEYWORDS, __pyx_doc_4nipy_4labs_5utils_8routines_8permutations};
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_9permutations(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  unsigned int __pyx_v_n;
  unsigned int __pyx_v_m;
  unsigned long __pyx_v_magic;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("permutations (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_n,&__pyx_n_s_m,&__pyx_n_s_magic,0};
    PyObject* values[3] = {0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = PyDict_GetItem(__pyx_kwds, __pyx_n_s_n)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        case  1:
        if (kw_args > 0) {
          PyObject* value = PyDict_GetItem(__pyx_kwds, __pyx_n_s_m);
          if (value) { values[1] = value; kw_args--; }
        }
        case  2:
        if (kw_args > 0) {
          PyObject* value = PyDict_GetItem(__pyx_kwds, __pyx_n_s_magic);
          if (value) { values[2] = value; kw_args--; }
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "permutations") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 233; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
    } else {
      switch (PyTuple_GET_SIZE(__pyx_args)) {
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        break;
        default: goto __pyx_L5_argtuple_error;
      }
    }
    __pyx_v_n = __Pyx_PyInt_As_unsigned_int(values[0]); if (unlikely((__pyx_v_n == (unsigned int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 233; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    if (values[1]) {
      __pyx_v_m = __Pyx_PyInt_As_unsigned_int(values[1]); if (unlikely((__pyx_v_m == (unsigned int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 233; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    } else {
      __pyx_v_m = ((unsigned int)1);
    }
    if (values[2]) {
      __pyx_v_magic = __Pyx_PyInt_As_unsigned_long(values[2]); if (unlikely((__pyx_v_magic == (unsigned long)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 233; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    } else {
      __pyx_v_magic = ((unsigned long)0);
    }
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("permutations", 0, 1, 3, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 233; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
  __pyx_L3_error:;
  __Pyx_AddTraceback("nipy.labs.utils.routines.permutations", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_4nipy_4labs_5utils_8routines_8permutations(__pyx_self, __pyx_v_n, __pyx_v_m, __pyx_v_magic);

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_8permutations(CYTHON_UNUSED PyObject *__pyx_self, unsigned int __pyx_v_n, unsigned int __pyx_v_m, unsigned long __pyx_v_magic) {
  fff_array *__pyx_v_p;
  fff_array *__pyx_v_pi;
  fff_array __pyx_v_pi_view;
  unsigned int __pyx_v_i;
  PyArrayObject *__pyx_v_P = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  unsigned int __pyx_t_1;
  PyObject *__pyx_t_2 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("permutations", 0);

  /* "nipy/labs/utils/routines.pyx":241
 *     cdef fff_array pi_view
 *     cdef unsigned int i
 *     p = fff_array_new2d(FFF_UINT, n, m)             # <<<<<<<<<<<<<<
 *     pi = fff_array_new1d(FFF_UINT, n) ## contiguous, dims=(n,1,1,1)
 * 
 */
  __pyx_v_p = fff_array_new2d(FFF_UINT, __pyx_v_n, __pyx_v_m);

  /* "nipy/labs/utils/routines.pyx":242
 *     cdef unsigned int i
 *     p = fff_array_new2d(FFF_UINT, n, m)
 *     pi = fff_array_new1d(FFF_UINT, n) ## contiguous, dims=(n,1,1,1)             # <<<<<<<<<<<<<<
 * 
 *     for i from 0 <= i < m:
 */
  __pyx_v_pi = fff_array_new1d(FFF_UINT, __pyx_v_n);

  /* "nipy/labs/utils/routines.pyx":244
 *     pi = fff_array_new1d(FFF_UINT, n) ## contiguous, dims=(n,1,1,1)
 * 
 *     for i from 0 <= i < m:             # <<<<<<<<<<<<<<
 *         fff_permutation(<unsigned int*>pi.data, n, magic+i)
 *         pi_view = fff_array_get_block2d(p, 0, n-1, 1, i, i, 1) ## dims=(n,1,1,1)
 */
  __pyx_t_1 = __pyx_v_m;
  for (__pyx_v_i = 0; __pyx_v_i < __pyx_t_1; __pyx_v_i++) {

    /* "nipy/labs/utils/routines.pyx":245
 * 
 *     for i from 0 <= i < m:
 *         fff_permutation(<unsigned int*>pi.data, n, magic+i)             # <<<<<<<<<<<<<<
 *         pi_view = fff_array_get_block2d(p, 0, n-1, 1, i, i, 1) ## dims=(n,1,1,1)
 *         fff_array_copy(&pi_view, pi)
 */
    fff_permutation(((unsigned int *)__pyx_v_pi->data), __pyx_v_n, (__pyx_v_magic + __pyx_v_i));

    /* "nipy/labs/utils/routines.pyx":246
 *     for i from 0 <= i < m:
 *         fff_permutation(<unsigned int*>pi.data, n, magic+i)
 *         pi_view = fff_array_get_block2d(p, 0, n-1, 1, i, i, 1) ## dims=(n,1,1,1)             # <<<<<<<<<<<<<<
 *         fff_array_copy(&pi_view, pi)
 * 
 */
    __pyx_v_pi_view = fff_array_get_block2d(__pyx_v_p, 0, (__pyx_v_n - 1), 1, __pyx_v_i, __pyx_v_i, 1);

    /* "nipy/labs/utils/routines.pyx":247
 *         fff_permutation(<unsigned int*>pi.data, n, magic+i)
 *         pi_view = fff_array_get_block2d(p, 0, n-1, 1, i, i, 1) ## dims=(n,1,1,1)
 *         fff_array_copy(&pi_view, pi)             # <<<<<<<<<<<<<<
 * 
 *     P = fff_array_toPyArray(p)
 */
    fff_array_copy((&__pyx_v_pi_view), __pyx_v_pi);
  }

  /* "nipy/labs/utils/routines.pyx":249
 *         fff_array_copy(&pi_view, pi)
 * 
 *     P = fff_array_toPyArray(p)             # <<<<<<<<<<<<<<
 *     return P
 * 
 */
  __pyx_t_2 = ((PyObject *)fff_array_toPyArray(__pyx_v_p)); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 249; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_v_P = ((PyArrayObject *)__pyx_t_2);
  __pyx_t_2 = 0;

  /* "nipy/labs/utils/routines.pyx":250
 * 
 *     P = fff_array_toPyArray(p)
 *     return P             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(((PyObject *)__pyx_v_P));
  __pyx_r = ((PyObject *)__pyx_v_P);
  goto __pyx_L0;

  /* "nipy/labs/utils/routines.pyx":233
 * 
 * 
 * def permutations(unsigned int n, unsigned int m=1, unsigned long magic=0):             # <<<<<<<<<<<<<<
 *     """
 *     P = permutations(n, m=1, magic=0).
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_AddTraceback("nipy.labs.utils.routines.permutations", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF((PyObject *)__pyx_v_P);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "nipy/labs/utils/routines.pyx":253
 * 
 * 
 * def combinations(unsigned int k, unsigned int n, unsigned int m=1, unsigned long magic=0):             # <<<<<<<<<<<<<<
 *     """
 *     P = combinations(k, n, m=1, magic=0).
 */

/* Python wrapper */
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_11combinations(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_4nipy_4labs_5utils_8routines_10combinations[] = "\n    P = combinations(k, n, m=1, magic=0).\n    Generate m combinations of k elements  from [0..n[.\n    ";
static PyMethodDef __pyx_mdef_4nipy_4labs_5utils_8routines_11combinations = {"combinations", (PyCFunction)__pyx_pw_4nipy_4labs_5utils_8routines_11combinations, METH_VARARGS|METH_KEYWORDS, __pyx_doc_4nipy_4labs_5utils_8routines_10combinations};
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_11combinations(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  unsigned int __pyx_v_k;
  unsigned int __pyx_v_n;
  unsigned int __pyx_v_m;
  unsigned long __pyx_v_magic;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("combinations (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_k,&__pyx_n_s_n,&__pyx_n_s_m,&__pyx_n_s_magic,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = PyDict_GetItem(__pyx_kwds, __pyx_n_s_k)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        case  1:
        if (likely((values[1] = PyDict_GetItem(__pyx_kwds, __pyx_n_s_n)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("combinations", 0, 2, 4, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 253; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
        }
        case  2:
        if (kw_args > 0) {
          PyObject* value = PyDict_GetItem(__pyx_kwds, __pyx_n_s_m);
          if (value) { values[2] = value; kw_args--; }
        }
        case  3:
        if (kw_args > 0) {
          PyObject* value = PyDict_GetItem(__pyx_kwds, __pyx_n_s_magic);
          if (value) { values[3] = value; kw_args--; }
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "combinations") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 253; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
    } else {
      switch (PyTuple_GET_SIZE(__pyx_args)) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        break;
        default: goto __pyx_L5_argtuple_error;
      }
    }
    __pyx_v_k = __Pyx_PyInt_As_unsigned_int(values[0]); if (unlikely((__pyx_v_k == (unsigned int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 253; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    __pyx_v_n = __Pyx_PyInt_As_unsigned_int(values[1]); if (unlikely((__pyx_v_n == (unsigned int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 253; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    if (values[2]) {
      __pyx_v_m = __Pyx_PyInt_As_unsigned_int(values[2]); if (unlikely((__pyx_v_m == (unsigned int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 253; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    } else {
      __pyx_v_m = ((unsigned int)1);
    }
    if (values[3]) {
      __pyx_v_magic = __Pyx_PyInt_As_unsigned_long(values[3]); if (unlikely((__pyx_v_magic == (unsigned long)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 253; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    } else {
      __pyx_v_magic = ((unsigned long)0);
    }
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("combinations", 0, 2, 4, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 253; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
  __pyx_L3_error:;
  __Pyx_AddTraceback("nipy.labs.utils.routines.combinations", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_4nipy_4labs_5utils_8routines_10combinations(__pyx_self, __pyx_v_k, __pyx_v_n, __pyx_v_m, __pyx_v_magic);

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_10combinations(CYTHON_UNUSED PyObject *__pyx_self, unsigned int __pyx_v_k, unsigned int __pyx_v_n, unsigned int __pyx_v_m, unsigned long __pyx_v_magic) {
  fff_array *__pyx_v_p;
  fff_array *__pyx_v_pi;
  fff_array __pyx_v_pi_view;
  unsigned int __pyx_v_i;
  PyArrayObject *__pyx_v_C = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  unsigned int __pyx_t_1;
  PyObject *__pyx_t_2 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("combinations", 0);

  /* "nipy/labs/utils/routines.pyx":261
 *     cdef fff_array pi_view
 *     cdef unsigned int i
 *     p = fff_array_new2d(FFF_UINT, k, m)             # <<<<<<<<<<<<<<
 *     pi = fff_array_new1d(FFF_UINT, k) ## contiguous, dims=(n,1,1,1)
 * 
 */
  __pyx_v_p = fff_array_new2d(FFF_UINT, __pyx_v_k, __pyx_v_m);

  /* "nipy/labs/utils/routines.pyx":262
 *     cdef unsigned int i
 *     p = fff_array_new2d(FFF_UINT, k, m)
 *     pi = fff_array_new1d(FFF_UINT, k) ## contiguous, dims=(n,1,1,1)             # <<<<<<<<<<<<<<
 * 
 *     for i from 0 <= i < m:
 */
  __pyx_v_pi = fff_array_new1d(FFF_UINT, __pyx_v_k);

  /* "nipy/labs/utils/routines.pyx":264
 *     pi = fff_array_new1d(FFF_UINT, k) ## contiguous, dims=(n,1,1,1)
 * 
 *     for i from 0 <= i < m:             # <<<<<<<<<<<<<<
 *         fff_combination(<unsigned int*>pi.data, k, n, magic+i)
 *         pi_view = fff_array_get_block2d(p, 0, k-1, 1, i, i, 1) ## dims=(k,1,1,1)
 */
  __pyx_t_1 = __pyx_v_m;
  for (__pyx_v_i = 0; __pyx_v_i < __pyx_t_1; __pyx_v_i++) {

    /* "nipy/labs/utils/routines.pyx":265
 * 
 *     for i from 0 <= i < m:
 *         fff_combination(<unsigned int*>pi.data, k, n, magic+i)             # <<<<<<<<<<<<<<
 *         pi_view = fff_array_get_block2d(p, 0, k-1, 1, i, i, 1) ## dims=(k,1,1,1)
 *         fff_array_copy(&pi_view, pi)
 */
    fff_combination(((unsigned int *)__pyx_v_pi->data), __pyx_v_k, __pyx_v_n, (__pyx_v_magic + __pyx_v_i));

    /* "nipy/labs/utils/routines.pyx":266
 *     for i from 0 <= i < m:
 *         fff_combination(<unsigned int*>pi.data, k, n, magic+i)
 *         pi_view = fff_array_get_block2d(p, 0, k-1, 1, i, i, 1) ## dims=(k,1,1,1)             # <<<<<<<<<<<<<<
 *         fff_array_copy(&pi_view, pi)
 * 
 */
    __pyx_v_pi_view = fff_array_get_block2d(__pyx_v_p, 0, (__pyx_v_k - 1), 1, __pyx_v_i, __pyx_v_i, 1);

    /* "nipy/labs/utils/routines.pyx":267
 *         fff_combination(<unsigned int*>pi.data, k, n, magic+i)
 *         pi_view = fff_array_get_block2d(p, 0, k-1, 1, i, i, 1) ## dims=(k,1,1,1)
 *         fff_array_copy(&pi_view, pi)             # <<<<<<<<<<<<<<
 * 
 *     C = fff_array_toPyArray(p)
 */
    fff_array_copy((&__pyx_v_pi_view), __pyx_v_pi);
  }

  /* "nipy/labs/utils/routines.pyx":269
 *         fff_array_copy(&pi_view, pi)
 * 
 *     C = fff_array_toPyArray(p)             # <<<<<<<<<<<<<<
 *     return C
 * 
 */
  __pyx_t_2 = ((PyObject *)fff_array_toPyArray(__pyx_v_p)); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 269; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_v_C = ((PyArrayObject *)__pyx_t_2);
  __pyx_t_2 = 0;

  /* "nipy/labs/utils/routines.pyx":270
 * 
 *     C = fff_array_toPyArray(p)
 *     return C             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(((PyObject *)__pyx_v_C));
  __pyx_r = ((PyObject *)__pyx_v_C);
  goto __pyx_L0;

  /* "nipy/labs/utils/routines.pyx":253
 * 
 * 
 * def combinations(unsigned int k, unsigned int n, unsigned int m=1, unsigned long magic=0):             # <<<<<<<<<<<<<<
 *     """
 *     P = combinations(k, n, m=1, magic=0).
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_AddTraceback("nipy.labs.utils.routines.combinations", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF((PyObject *)__pyx_v_C);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "nipy/labs/utils/routines.pyx":273
 * 
 * 
 * def gamln(double x):             # <<<<<<<<<<<<<<
 *     """ Python bindings to log gamma. Do not use, this is there only for
 *         testing. Use scipy.special.gammaln.
 */

/* Python wrapper */
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_13gamln(PyObject *__pyx_self, PyObject *__pyx_arg_x); /*proto*/
static char __pyx_doc_4nipy_4labs_5utils_8routines_12gamln[] = " Python bindings to log gamma. Do not use, this is there only for\n        testing. Use scipy.special.gammaln.\n    ";
static PyMethodDef __pyx_mdef_4nipy_4labs_5utils_8routines_13gamln = {"gamln", (PyCFunction)__pyx_pw_4nipy_4labs_5utils_8routines_13gamln, METH_O, __pyx_doc_4nipy_4labs_5utils_8routines_12gamln};
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_13gamln(PyObject *__pyx_self, PyObject *__pyx_arg_x) {
  double __pyx_v_x;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("gamln (wrapper)", 0);
  assert(__pyx_arg_x); {
    __pyx_v_x = __pyx_PyFloat_AsDouble(__pyx_arg_x); if (unlikely((__pyx_v_x == (double)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 273; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  __Pyx_AddTraceback("nipy.labs.utils.routines.gamln", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_4nipy_4labs_5utils_8routines_12gamln(__pyx_self, ((double)__pyx_v_x));

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_12gamln(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_x) {
  double __pyx_v_y;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("gamln", 0);

  /* "nipy/labs/utils/routines.pyx":278
 *     """
 *     cdef double y
 *     y = fff_gamln(x)             # <<<<<<<<<<<<<<
 *     return y
 * 
 */
  __pyx_v_y = fff_gamln(__pyx_v_x);

  /* "nipy/labs/utils/routines.pyx":279
 *     cdef double y
 *     y = fff_gamln(x)
 *     return y             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyFloat_FromDouble(__pyx_v_y); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 279; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "nipy/labs/utils/routines.pyx":273
 * 
 * 
 * def gamln(double x):             # <<<<<<<<<<<<<<
 *     """ Python bindings to log gamma. Do not use, this is there only for
 *         testing. Use scipy.special.gammaln.
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("nipy.labs.utils.routines.gamln", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "nipy/labs/utils/routines.pyx":282
 * 
 * 
 * def psi(double x):             # <<<<<<<<<<<<<<
 *     """ Python bindings to psi (d gamln(x)/dx. Do not use, this is there only
 *         for testing. Use scipy.special.psi.
 */

/* Python wrapper */
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_15psi(PyObject *__pyx_self, PyObject *__pyx_arg_x); /*proto*/
static char __pyx_doc_4nipy_4labs_5utils_8routines_14psi[] = " Python bindings to psi (d gamln(x)/dx. Do not use, this is there only \n        for testing. Use scipy.special.psi.\n    ";
static PyMethodDef __pyx_mdef_4nipy_4labs_5utils_8routines_15psi = {"psi", (PyCFunction)__pyx_pw_4nipy_4labs_5utils_8routines_15psi, METH_O, __pyx_doc_4nipy_4labs_5utils_8routines_14psi};
static PyObject *__pyx_pw_4nipy_4labs_5utils_8routines_15psi(PyObject *__pyx_self, PyObject *__pyx_arg_x) {
  double __pyx_v_x;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("psi (wrapper)", 0);
  assert(__pyx_arg_x); {
    __pyx_v_x = __pyx_PyFloat_AsDouble(__pyx_arg_x); if (unlikely((__pyx_v_x == (double)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 282; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  __Pyx_AddTraceback("nipy.labs.utils.routines.psi", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_4nipy_4labs_5utils_8routines_14psi(__pyx_self, ((double)__pyx_v_x));

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_4nipy_4labs_5utils_8routines_14psi(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_x) {
  double __pyx_v_y;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("psi", 0);

  /* "nipy/labs/utils/routines.pyx":287
 *     """
 *     cdef double y
 *     y = fff_psi(x)             # <<<<<<<<<<<<<<
 *     return y
 * 
 */
  __pyx_v_y = fff_psi(__pyx_v_x);

  /* "nipy/labs/utils/routines.pyx":288
 *     cdef double y
 *     y = fff_psi(x)
 *     return y             # <<<<<<<<<<<<<<
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyFloat_FromDouble(__pyx_v_y); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 288; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "nipy/labs/utils/routines.pyx":282
 * 
 * 
 * def psi(double x):             # <<<<<<<<<<<<<<
 *     """ Python bindings to psi (d gamln(x)/dx. Do not use, this is there only
 *         for testing. Use scipy.special.psi.
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("nipy.labs.utils.routines.psi", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":197
 *         # experimental exception made for __getbuffer__ and __releasebuffer__
 *         # -- the details of this may change.
 *         def __getbuffer__(ndarray self, Py_buffer* info, int flags):             # <<<<<<<<<<<<<<
 *             # This implementation of getbuffer is geared towards Cython
 *             # requirements, and does not yet fullfill the PEP.
 */

/* Python wrapper */
static CYTHON_UNUSED int __pyx_pw_5numpy_7ndarray_1__getbuffer__(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
static CYTHON_UNUSED int __pyx_pw_5numpy_7ndarray_1__getbuffer__(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags) {
  int __pyx_r;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__getbuffer__ (wrapper)", 0);
  __pyx_r = __pyx_pf_5numpy_7ndarray___getbuffer__(((PyArrayObject *)__pyx_v_self), ((Py_buffer *)__pyx_v_info), ((int)__pyx_v_flags));

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags) {
  int __pyx_v_copy_shape;
  int __pyx_v_i;
  int __pyx_v_ndim;
  int __pyx_v_endian_detector;
  int __pyx_v_little_endian;
  int __pyx_v_t;
  char *__pyx_v_f;
  PyArray_Descr *__pyx_v_descr = 0;
  int __pyx_v_offset;
  int __pyx_v_hasfields;
  int __pyx_r;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  int __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  int __pyx_t_5;
  PyObject *__pyx_t_6 = NULL;
  char *__pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("__getbuffer__", 0);
  if (__pyx_v_info != NULL) {
    __pyx_v_info->obj = Py_None; __Pyx_INCREF(Py_None);
    __Pyx_GIVEREF(__pyx_v_info->obj);
  }

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":203
 *             # of flags
 * 
 *             if info == NULL: return             # <<<<<<<<<<<<<<
 * 
 *             cdef int copy_shape, i, ndim
 */
  __pyx_t_1 = ((__pyx_v_info == NULL) != 0);
  if (__pyx_t_1) {
    __pyx_r = 0;
    goto __pyx_L0;
  }

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":206
 * 
 *             cdef int copy_shape, i, ndim
 *             cdef int endian_detector = 1             # <<<<<<<<<<<<<<
 *             cdef bint little_endian = ((<char*>&endian_detector)[0] != 0)
 * 
 */
  __pyx_v_endian_detector = 1;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":207
 *             cdef int copy_shape, i, ndim
 *             cdef int endian_detector = 1
 *             cdef bint little_endian = ((<char*>&endian_detector)[0] != 0)             # <<<<<<<<<<<<<<
 * 
 *             ndim = PyArray_NDIM(self)
 */
  __pyx_v_little_endian = ((((char *)(&__pyx_v_endian_detector))[0]) != 0);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":209
 *             cdef bint little_endian = ((<char*>&endian_detector)[0] != 0)
 * 
 *             ndim = PyArray_NDIM(self)             # <<<<<<<<<<<<<<
 * 
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):
 */
  __pyx_v_ndim = PyArray_NDIM(__pyx_v_self);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":211
 *             ndim = PyArray_NDIM(self)
 * 
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):             # <<<<<<<<<<<<<<
 *                 copy_shape = 1
 *             else:
 */
  __pyx_t_1 = (((sizeof(npy_intp)) != (sizeof(Py_ssize_t))) != 0);
  if (__pyx_t_1) {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":212
 * 
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):
 *                 copy_shape = 1             # <<<<<<<<<<<<<<
 *             else:
 *                 copy_shape = 0
 */
    __pyx_v_copy_shape = 1;
    goto __pyx_L4;
  }
  /*else*/ {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":214
 *                 copy_shape = 1
 *             else:
 *                 copy_shape = 0             # <<<<<<<<<<<<<<
 * 
 *             if ((flags & pybuf.PyBUF_C_CONTIGUOUS == pybuf.PyBUF_C_CONTIGUOUS)
 */
    __pyx_v_copy_shape = 0;
  }
  __pyx_L4:;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":216
 *                 copy_shape = 0
 * 
 *             if ((flags & pybuf.PyBUF_C_CONTIGUOUS == pybuf.PyBUF_C_CONTIGUOUS)             # <<<<<<<<<<<<<<
 *                 and not PyArray_CHKFLAGS(self, NPY_C_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not C contiguous")
 */
  __pyx_t_2 = (((__pyx_v_flags & PyBUF_C_CONTIGUOUS) == PyBUF_C_CONTIGUOUS) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L6_bool_binop_done;
  }

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":217
 * 
 *             if ((flags & pybuf.PyBUF_C_CONTIGUOUS == pybuf.PyBUF_C_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_C_CONTIGUOUS)):             # <<<<<<<<<<<<<<
 *                 raise ValueError(u"ndarray is not C contiguous")
 * 
 */
  __pyx_t_2 = ((!(PyArray_CHKFLAGS(__pyx_v_self, NPY_C_CONTIGUOUS) != 0)) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L6_bool_binop_done:;
  if (__pyx_t_1) {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":218
 *             if ((flags & pybuf.PyBUF_C_CONTIGUOUS == pybuf.PyBUF_C_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_C_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not C contiguous")             # <<<<<<<<<<<<<<
 * 
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 */
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__4, NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 218; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_Raise(__pyx_t_3, 0, 0, 0);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    {__pyx_filename = __pyx_f[1]; __pyx_lineno = 218; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":220
 *                 raise ValueError(u"ndarray is not C contiguous")
 * 
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)             # <<<<<<<<<<<<<<
 *                 and not PyArray_CHKFLAGS(self, NPY_F_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not Fortran contiguous")
 */
  __pyx_t_2 = (((__pyx_v_flags & PyBUF_F_CONTIGUOUS) == PyBUF_F_CONTIGUOUS) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L9_bool_binop_done;
  }

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":221
 * 
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_F_CONTIGUOUS)):             # <<<<<<<<<<<<<<
 *                 raise ValueError(u"ndarray is not Fortran contiguous")
 * 
 */
  __pyx_t_2 = ((!(PyArray_CHKFLAGS(__pyx_v_self, NPY_F_CONTIGUOUS) != 0)) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L9_bool_binop_done:;
  if (__pyx_t_1) {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":222
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_F_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not Fortran contiguous")             # <<<<<<<<<<<<<<
 * 
 *             info.buf = PyArray_DATA(self)
 */
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__5, NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 222; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_Raise(__pyx_t_3, 0, 0, 0);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    {__pyx_filename = __pyx_f[1]; __pyx_lineno = 222; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":224
 *                 raise ValueError(u"ndarray is not Fortran contiguous")
 * 
 *             info.buf = PyArray_DATA(self)             # <<<<<<<<<<<<<<
 *             info.ndim = ndim
 *             if copy_shape:
 */
  __pyx_v_info->buf = PyArray_DATA(__pyx_v_self);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":225
 * 
 *             info.buf = PyArray_DATA(self)
 *             info.ndim = ndim             # <<<<<<<<<<<<<<
 *             if copy_shape:
 *                 # Allocate new buffer for strides and shape info.
 */
  __pyx_v_info->ndim = __pyx_v_ndim;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":226
 *             info.buf = PyArray_DATA(self)
 *             info.ndim = ndim
 *             if copy_shape:             # <<<<<<<<<<<<<<
 *                 # Allocate new buffer for strides and shape info.
 *                 # This is allocated as one block, strides first.
 */
  __pyx_t_1 = (__pyx_v_copy_shape != 0);
  if (__pyx_t_1) {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":229
 *                 # Allocate new buffer for strides and shape info.
 *                 # This is allocated as one block, strides first.
 *                 info.strides = <Py_ssize_t*>stdlib.malloc(sizeof(Py_ssize_t) * <size_t>ndim * 2)             # <<<<<<<<<<<<<<
 *                 info.shape = info.strides + ndim
 *                 for i in range(ndim):
 */
    __pyx_v_info->strides = ((Py_ssize_t *)malloc((((sizeof(Py_ssize_t)) * ((size_t)__pyx_v_ndim)) * 2)));

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":230
 *                 # This is allocated as one block, strides first.
 *                 info.strides = <Py_ssize_t*>stdlib.malloc(sizeof(Py_ssize_t) * <size_t>ndim * 2)
 *                 info.shape = info.strides + ndim             # <<<<<<<<<<<<<<
 *                 for i in range(ndim):
 *                     info.strides[i] = PyArray_STRIDES(self)[i]
 */
    __pyx_v_info->shape = (__pyx_v_info->strides + __pyx_v_ndim);

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":231
 *                 info.strides = <Py_ssize_t*>stdlib.malloc(sizeof(Py_ssize_t) * <size_t>ndim * 2)
 *                 info.shape = info.strides + ndim
 *                 for i in range(ndim):             # <<<<<<<<<<<<<<
 *                     info.strides[i] = PyArray_STRIDES(self)[i]
 *                     info.shape[i] = PyArray_DIMS(self)[i]
 */
    __pyx_t_4 = __pyx_v_ndim;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_i = __pyx_t_5;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":232
 *                 info.shape = info.strides + ndim
 *                 for i in range(ndim):
 *                     info.strides[i] = PyArray_STRIDES(self)[i]             # <<<<<<<<<<<<<<
 *                     info.shape[i] = PyArray_DIMS(self)[i]
 *             else:
 */
      (__pyx_v_info->strides[__pyx_v_i]) = (PyArray_STRIDES(__pyx_v_self)[__pyx_v_i]);

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":233
 *                 for i in range(ndim):
 *                     info.strides[i] = PyArray_STRIDES(self)[i]
 *                     info.shape[i] = PyArray_DIMS(self)[i]             # <<<<<<<<<<<<<<
 *             else:
 *                 info.strides = <Py_ssize_t*>PyArray_STRIDES(self)
 */
      (__pyx_v_info->shape[__pyx_v_i]) = (PyArray_DIMS(__pyx_v_self)[__pyx_v_i]);
    }
    goto __pyx_L11;
  }
  /*else*/ {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":235
 *                     info.shape[i] = PyArray_DIMS(self)[i]
 *             else:
 *                 info.strides = <Py_ssize_t*>PyArray_STRIDES(self)             # <<<<<<<<<<<<<<
 *                 info.shape = <Py_ssize_t*>PyArray_DIMS(self)
 *             info.suboffsets = NULL
 */
    __pyx_v_info->strides = ((Py_ssize_t *)PyArray_STRIDES(__pyx_v_self));

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":236
 *             else:
 *                 info.strides = <Py_ssize_t*>PyArray_STRIDES(self)
 *                 info.shape = <Py_ssize_t*>PyArray_DIMS(self)             # <<<<<<<<<<<<<<
 *             info.suboffsets = NULL
 *             info.itemsize = PyArray_ITEMSIZE(self)
 */
    __pyx_v_info->shape = ((Py_ssize_t *)PyArray_DIMS(__pyx_v_self));
  }
  __pyx_L11:;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":237
 *                 info.strides = <Py_ssize_t*>PyArray_STRIDES(self)
 *                 info.shape = <Py_ssize_t*>PyArray_DIMS(self)
 *             info.suboffsets = NULL             # <<<<<<<<<<<<<<
 *             info.itemsize = PyArray_ITEMSIZE(self)
 *             info.readonly = not PyArray_ISWRITEABLE(self)
 */
  __pyx_v_info->suboffsets = NULL;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":238
 *                 info.shape = <Py_ssize_t*>PyArray_DIMS(self)
 *             info.suboffsets = NULL
 *             info.itemsize = PyArray_ITEMSIZE(self)             # <<<<<<<<<<<<<<
 *             info.readonly = not PyArray_ISWRITEABLE(self)
 * 
 */
  __pyx_v_info->itemsize = PyArray_ITEMSIZE(__pyx_v_self);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":239
 *             info.suboffsets = NULL
 *             info.itemsize = PyArray_ITEMSIZE(self)
 *             info.readonly = not PyArray_ISWRITEABLE(self)             # <<<<<<<<<<<<<<
 * 
 *             cdef int t
 */
  __pyx_v_info->readonly = (!(PyArray_ISWRITEABLE(__pyx_v_self) != 0));

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":242
 * 
 *             cdef int t
 *             cdef char* f = NULL             # <<<<<<<<<<<<<<
 *             cdef dtype descr = self.descr
 *             cdef list stack
 */
  __pyx_v_f = NULL;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":243
 *             cdef int t
 *             cdef char* f = NULL
 *             cdef dtype descr = self.descr             # <<<<<<<<<<<<<<
 *             cdef list stack
 *             cdef int offset
 */
  __pyx_t_3 = ((PyObject *)__pyx_v_self->descr);
  __Pyx_INCREF(__pyx_t_3);
  __pyx_v_descr = ((PyArray_Descr *)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":247
 *             cdef int offset
 * 
 *             cdef bint hasfields = PyDataType_HASFIELDS(descr)             # <<<<<<<<<<<<<<
 * 
 *             if not hasfields and not copy_shape:
 */
  __pyx_v_hasfields = PyDataType_HASFIELDS(__pyx_v_descr);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":249
 *             cdef bint hasfields = PyDataType_HASFIELDS(descr)
 * 
 *             if not hasfields and not copy_shape:             # <<<<<<<<<<<<<<
 *                 # do not call releasebuffer
 *                 info.obj = None
 */
  __pyx_t_2 = ((!(__pyx_v_hasfields != 0)) != 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L15_bool_binop_done;
  }
  __pyx_t_2 = ((!(__pyx_v_copy_shape != 0)) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L15_bool_binop_done:;
  if (__pyx_t_1) {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":251
 *             if not hasfields and not copy_shape:
 *                 # do not call releasebuffer
 *                 info.obj = None             # <<<<<<<<<<<<<<
 *             else:
 *                 # need to call releasebuffer
 */
    __Pyx_INCREF(Py_None);
    __Pyx_GIVEREF(Py_None);
    __Pyx_GOTREF(__pyx_v_info->obj);
    __Pyx_DECREF(__pyx_v_info->obj);
    __pyx_v_info->obj = Py_None;
    goto __pyx_L14;
  }
  /*else*/ {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":254
 *             else:
 *                 # need to call releasebuffer
 *                 info.obj = self             # <<<<<<<<<<<<<<
 * 
 *             if not hasfields:
 */
    __Pyx_INCREF(((PyObject *)__pyx_v_self));
    __Pyx_GIVEREF(((PyObject *)__pyx_v_self));
    __Pyx_GOTREF(__pyx_v_info->obj);
    __Pyx_DECREF(__pyx_v_info->obj);
    __pyx_v_info->obj = ((PyObject *)__pyx_v_self);
  }
  __pyx_L14:;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":256
 *                 info.obj = self
 * 
 *             if not hasfields:             # <<<<<<<<<<<<<<
 *                 t = descr.type_num
 *                 if ((descr.byteorder == c'>' and little_endian) or
 */
  __pyx_t_1 = ((!(__pyx_v_hasfields != 0)) != 0);
  if (__pyx_t_1) {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":257
 * 
 *             if not hasfields:
 *                 t = descr.type_num             # <<<<<<<<<<<<<<
 *                 if ((descr.byteorder == c'>' and little_endian) or
 *                     (descr.byteorder == c'<' and not little_endian)):
 */
    __pyx_t_4 = __pyx_v_descr->type_num;
    __pyx_v_t = __pyx_t_4;

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":258
 *             if not hasfields:
 *                 t = descr.type_num
 *                 if ((descr.byteorder == c'>' and little_endian) or             # <<<<<<<<<<<<<<
 *                     (descr.byteorder == c'<' and not little_endian)):
 *                     raise ValueError(u"Non-native byte order not supported")
 */
    __pyx_t_2 = ((__pyx_v_descr->byteorder == '>') != 0);
    if (!__pyx_t_2) {
      goto __pyx_L20_next_or;
    } else {
    }
    __pyx_t_2 = (__pyx_v_little_endian != 0);
    if (!__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L19_bool_binop_done;
    }
    __pyx_L20_next_or:;

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":259
 *                 t = descr.type_num
 *                 if ((descr.byteorder == c'>' and little_endian) or
 *                     (descr.byteorder == c'<' and not little_endian)):             # <<<<<<<<<<<<<<
 *                     raise ValueError(u"Non-native byte order not supported")
 *                 if   t == NPY_BYTE:        f = "b"
 */
    __pyx_t_2 = ((__pyx_v_descr->byteorder == '<') != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L19_bool_binop_done;
    }
    __pyx_t_2 = ((!(__pyx_v_little_endian != 0)) != 0);
    __pyx_t_1 = __pyx_t_2;
    __pyx_L19_bool_binop_done:;
    if (__pyx_t_1) {

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":260
 *                 if ((descr.byteorder == c'>' and little_endian) or
 *                     (descr.byteorder == c'<' and not little_endian)):
 *                     raise ValueError(u"Non-native byte order not supported")             # <<<<<<<<<<<<<<
 *                 if   t == NPY_BYTE:        f = "b"
 *                 elif t == NPY_UBYTE:       f = "B"
 */
      __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__6, NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 260; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_Raise(__pyx_t_3, 0, 0, 0);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      {__pyx_filename = __pyx_f[1]; __pyx_lineno = 260; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":277
 *                 elif t == NPY_CDOUBLE:     f = "Zd"
 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"
 *                 elif t == NPY_OBJECT:      f = "O"             # <<<<<<<<<<<<<<
 *                 else:
 *                     raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)
 */
    switch (__pyx_v_t) {

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":261
 *                     (descr.byteorder == c'<' and not little_endian)):
 *                     raise ValueError(u"Non-native byte order not supported")
 *                 if   t == NPY_BYTE:        f = "b"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_UBYTE:       f = "B"
 *                 elif t == NPY_SHORT:       f = "h"
 */
      case NPY_BYTE:
      __pyx_v_f = __pyx_k_b;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":262
 *                     raise ValueError(u"Non-native byte order not supported")
 *                 if   t == NPY_BYTE:        f = "b"
 *                 elif t == NPY_UBYTE:       f = "B"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_SHORT:       f = "h"
 *                 elif t == NPY_USHORT:      f = "H"
 */
      case NPY_UBYTE:
      __pyx_v_f = __pyx_k_B;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":263
 *                 if   t == NPY_BYTE:        f = "b"
 *                 elif t == NPY_UBYTE:       f = "B"
 *                 elif t == NPY_SHORT:       f = "h"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_USHORT:      f = "H"
 *                 elif t == NPY_INT:         f = "i"
 */
      case NPY_SHORT:
      __pyx_v_f = __pyx_k_h;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":264
 *                 elif t == NPY_UBYTE:       f = "B"
 *                 elif t == NPY_SHORT:       f = "h"
 *                 elif t == NPY_USHORT:      f = "H"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_INT:         f = "i"
 *                 elif t == NPY_UINT:        f = "I"
 */
      case NPY_USHORT:
      __pyx_v_f = __pyx_k_H;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":265
 *                 elif t == NPY_SHORT:       f = "h"
 *                 elif t == NPY_USHORT:      f = "H"
 *                 elif t == NPY_INT:         f = "i"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_UINT:        f = "I"
 *                 elif t == NPY_LONG:        f = "l"
 */
      case NPY_INT:
      __pyx_v_f = __pyx_k_i;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":266
 *                 elif t == NPY_USHORT:      f = "H"
 *                 elif t == NPY_INT:         f = "i"
 *                 elif t == NPY_UINT:        f = "I"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_LONG:        f = "l"
 *                 elif t == NPY_ULONG:       f = "L"
 */
      case NPY_UINT:
      __pyx_v_f = __pyx_k_I;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":267
 *                 elif t == NPY_INT:         f = "i"
 *                 elif t == NPY_UINT:        f = "I"
 *                 elif t == NPY_LONG:        f = "l"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_ULONG:       f = "L"
 *                 elif t == NPY_LONGLONG:    f = "q"
 */
      case NPY_LONG:
      __pyx_v_f = __pyx_k_l;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":268
 *                 elif t == NPY_UINT:        f = "I"
 *                 elif t == NPY_LONG:        f = "l"
 *                 elif t == NPY_ULONG:       f = "L"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_LONGLONG:    f = "q"
 *                 elif t == NPY_ULONGLONG:   f = "Q"
 */
      case NPY_ULONG:
      __pyx_v_f = __pyx_k_L;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":269
 *                 elif t == NPY_LONG:        f = "l"
 *                 elif t == NPY_ULONG:       f = "L"
 *                 elif t == NPY_LONGLONG:    f = "q"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_ULONGLONG:   f = "Q"
 *                 elif t == NPY_FLOAT:       f = "f"
 */
      case NPY_LONGLONG:
      __pyx_v_f = __pyx_k_q;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":270
 *                 elif t == NPY_ULONG:       f = "L"
 *                 elif t == NPY_LONGLONG:    f = "q"
 *                 elif t == NPY_ULONGLONG:   f = "Q"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_FLOAT:       f = "f"
 *                 elif t == NPY_DOUBLE:      f = "d"
 */
      case NPY_ULONGLONG:
      __pyx_v_f = __pyx_k_Q;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":271
 *                 elif t == NPY_LONGLONG:    f = "q"
 *                 elif t == NPY_ULONGLONG:   f = "Q"
 *                 elif t == NPY_FLOAT:       f = "f"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_DOUBLE:      f = "d"
 *                 elif t == NPY_LONGDOUBLE:  f = "g"
 */
      case NPY_FLOAT:
      __pyx_v_f = __pyx_k_f;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":272
 *                 elif t == NPY_ULONGLONG:   f = "Q"
 *                 elif t == NPY_FLOAT:       f = "f"
 *                 elif t == NPY_DOUBLE:      f = "d"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_LONGDOUBLE:  f = "g"
 *                 elif t == NPY_CFLOAT:      f = "Zf"
 */
      case NPY_DOUBLE:
      __pyx_v_f = __pyx_k_d;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":273
 *                 elif t == NPY_FLOAT:       f = "f"
 *                 elif t == NPY_DOUBLE:      f = "d"
 *                 elif t == NPY_LONGDOUBLE:  f = "g"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_CFLOAT:      f = "Zf"
 *                 elif t == NPY_CDOUBLE:     f = "Zd"
 */
      case NPY_LONGDOUBLE:
      __pyx_v_f = __pyx_k_g;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":274
 *                 elif t == NPY_DOUBLE:      f = "d"
 *                 elif t == NPY_LONGDOUBLE:  f = "g"
 *                 elif t == NPY_CFLOAT:      f = "Zf"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_CDOUBLE:     f = "Zd"
 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"
 */
      case NPY_CFLOAT:
      __pyx_v_f = __pyx_k_Zf;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":275
 *                 elif t == NPY_LONGDOUBLE:  f = "g"
 *                 elif t == NPY_CFLOAT:      f = "Zf"
 *                 elif t == NPY_CDOUBLE:     f = "Zd"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"
 *                 elif t == NPY_OBJECT:      f = "O"
 */
      case NPY_CDOUBLE:
      __pyx_v_f = __pyx_k_Zd;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":276
 *                 elif t == NPY_CFLOAT:      f = "Zf"
 *                 elif t == NPY_CDOUBLE:     f = "Zd"
 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_OBJECT:      f = "O"
 *                 else:
 */
      case NPY_CLONGDOUBLE:
      __pyx_v_f = __pyx_k_Zg;
      break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":277
 *                 elif t == NPY_CDOUBLE:     f = "Zd"
 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"
 *                 elif t == NPY_OBJECT:      f = "O"             # <<<<<<<<<<<<<<
 *                 else:
 *                     raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)
 */
      case NPY_OBJECT:
      __pyx_v_f = __pyx_k_O;
      break;
      default:

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":279
 *                 elif t == NPY_OBJECT:      f = "O"
 *                 else:
 *                     raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)             # <<<<<<<<<<<<<<
 *                 info.format = f
 *                 return
 */
      __pyx_t_3 = __Pyx_PyInt_From_int(__pyx_v_t); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 279; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_6 = PyUnicode_Format(__pyx_kp_u_unknown_dtype_code_in_numpy_pxd, __pyx_t_3); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 279; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 279; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_6);
      __Pyx_GIVEREF(__pyx_t_6);
      __pyx_t_6 = 0;
      __pyx_t_6 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_t_3, NULL); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 279; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_Raise(__pyx_t_6, 0, 0, 0);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      {__pyx_filename = __pyx_f[1]; __pyx_lineno = 279; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      break;
    }

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":280
 *                 else:
 *                     raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)
 *                 info.format = f             # <<<<<<<<<<<<<<
 *                 return
 *             else:
 */
    __pyx_v_info->format = __pyx_v_f;

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":281
 *                     raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)
 *                 info.format = f
 *                 return             # <<<<<<<<<<<<<<
 *             else:
 *                 info.format = <char*>stdlib.malloc(_buffer_format_string_len)
 */
    __pyx_r = 0;
    goto __pyx_L0;
  }
  /*else*/ {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":283
 *                 return
 *             else:
 *                 info.format = <char*>stdlib.malloc(_buffer_format_string_len)             # <<<<<<<<<<<<<<
 *                 info.format[0] = c'^' # Native data types, manual alignment
 *                 offset = 0
 */
    __pyx_v_info->format = ((char *)malloc(255));

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":284
 *             else:
 *                 info.format = <char*>stdlib.malloc(_buffer_format_string_len)
 *                 info.format[0] = c'^' # Native data types, manual alignment             # <<<<<<<<<<<<<<
 *                 offset = 0
 *                 f = _util_dtypestring(descr, info.format + 1,
 */
    (__pyx_v_info->format[0]) = '^';

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":285
 *                 info.format = <char*>stdlib.malloc(_buffer_format_string_len)
 *                 info.format[0] = c'^' # Native data types, manual alignment
 *                 offset = 0             # <<<<<<<<<<<<<<
 *                 f = _util_dtypestring(descr, info.format + 1,
 *                                       info.format + _buffer_format_string_len,
 */
    __pyx_v_offset = 0;

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":286
 *                 info.format[0] = c'^' # Native data types, manual alignment
 *                 offset = 0
 *                 f = _util_dtypestring(descr, info.format + 1,             # <<<<<<<<<<<<<<
 *                                       info.format + _buffer_format_string_len,
 *                                       &offset)
 */
    __pyx_t_7 = __pyx_f_5numpy__util_dtypestring(__pyx_v_descr, (__pyx_v_info->format + 1), (__pyx_v_info->format + 255), (&__pyx_v_offset)); if (unlikely(__pyx_t_7 == NULL)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 286; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_v_f = __pyx_t_7;

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":289
 *                                       info.format + _buffer_format_string_len,
 *                                       &offset)
 *                 f[0] = c'\0' # Terminate format string             # <<<<<<<<<<<<<<
 * 
 *         def __releasebuffer__(ndarray self, Py_buffer* info):
 */
    (__pyx_v_f[0]) = '\x00';
  }

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":197
 *         # experimental exception made for __getbuffer__ and __releasebuffer__
 *         # -- the details of this may change.
 *         def __getbuffer__(ndarray self, Py_buffer* info, int flags):             # <<<<<<<<<<<<<<
 *             # This implementation of getbuffer is geared towards Cython
 *             # requirements, and does not yet fullfill the PEP.
 */

  /* function exit code */
  __pyx_r = 0;
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("numpy.ndarray.__getbuffer__", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  if (__pyx_v_info != NULL && __pyx_v_info->obj != NULL) {
    __Pyx_GOTREF(__pyx_v_info->obj);
    __Pyx_DECREF(__pyx_v_info->obj); __pyx_v_info->obj = NULL;
  }
  goto __pyx_L2;
  __pyx_L0:;
  if (__pyx_v_info != NULL && __pyx_v_info->obj == Py_None) {
    __Pyx_GOTREF(Py_None);
    __Pyx_DECREF(Py_None); __pyx_v_info->obj = NULL;
  }
  __pyx_L2:;
  __Pyx_XDECREF((PyObject *)__pyx_v_descr);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":291
 *                 f[0] = c'\0' # Terminate format string
 * 
 *         def __releasebuffer__(ndarray self, Py_buffer* info):             # <<<<<<<<<<<<<<
 *             if PyArray_HASFIELDS(self):
 *                 stdlib.free(info.format)
 */

/* Python wrapper */
static CYTHON_UNUSED void __pyx_pw_5numpy_7ndarray_3__releasebuffer__(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info); /*proto*/
static CYTHON_UNUSED void __pyx_pw_5numpy_7ndarray_3__releasebuffer__(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__releasebuffer__ (wrapper)", 0);
  __pyx_pf_5numpy_7ndarray_2__releasebuffer__(((PyArrayObject *)__pyx_v_self), ((Py_buffer *)__pyx_v_info));

  /* function exit code */
  __Pyx_RefNannyFinishContext();
}

static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info) {
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  __Pyx_RefNannySetupContext("__releasebuffer__", 0);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":292
 * 
 *         def __releasebuffer__(ndarray self, Py_buffer* info):
 *             if PyArray_HASFIELDS(self):             # <<<<<<<<<<<<<<
 *                 stdlib.free(info.format)
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):
 */
  __pyx_t_1 = (PyArray_HASFIELDS(__pyx_v_self) != 0);
  if (__pyx_t_1) {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":293
 *         def __releasebuffer__(ndarray self, Py_buffer* info):
 *             if PyArray_HASFIELDS(self):
 *                 stdlib.free(info.format)             # <<<<<<<<<<<<<<
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):
 *                 stdlib.free(info.strides)
 */
    free(__pyx_v_info->format);
    goto __pyx_L3;
  }
  __pyx_L3:;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":294
 *             if PyArray_HASFIELDS(self):
 *                 stdlib.free(info.format)
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):             # <<<<<<<<<<<<<<
 *                 stdlib.free(info.strides)
 *                 # info.shape was stored after info.strides in the same block
 */
  __pyx_t_1 = (((sizeof(npy_intp)) != (sizeof(Py_ssize_t))) != 0);
  if (__pyx_t_1) {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":295
 *                 stdlib.free(info.format)
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):
 *                 stdlib.free(info.strides)             # <<<<<<<<<<<<<<
 *                 # info.shape was stored after info.strides in the same block
 * 
 */
    free(__pyx_v_info->strides);
    goto __pyx_L4;
  }
  __pyx_L4:;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":291
 *                 f[0] = c'\0' # Terminate format string
 * 
 *         def __releasebuffer__(ndarray self, Py_buffer* info):             # <<<<<<<<<<<<<<
 *             if PyArray_HASFIELDS(self):
 *                 stdlib.free(info.format)
 */

  /* function exit code */
  __Pyx_RefNannyFinishContext();
}

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":771
 * ctypedef npy_cdouble     complex_t
 * 
 * cdef inline object PyArray_MultiIterNew1(a):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(1, <void*>a)
 * 
 */

static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew1(PyObject *__pyx_v_a) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("PyArray_MultiIterNew1", 0);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":772
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 *     return PyArray_MultiIterNew(1, <void*>a)             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew2(a, b):
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyArray_MultiIterNew(1, ((void *)__pyx_v_a)); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 772; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":771
 * ctypedef npy_cdouble     complex_t
 * 
 * cdef inline object PyArray_MultiIterNew1(a):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(1, <void*>a)
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("numpy.PyArray_MultiIterNew1", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":774
 *     return PyArray_MultiIterNew(1, <void*>a)
 * 
 * cdef inline object PyArray_MultiIterNew2(a, b):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(2, <void*>a, <void*>b)
 * 
 */

static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew2(PyObject *__pyx_v_a, PyObject *__pyx_v_b) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("PyArray_MultiIterNew2", 0);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":775
 * 
 * cdef inline object PyArray_MultiIterNew2(a, b):
 *     return PyArray_MultiIterNew(2, <void*>a, <void*>b)             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew3(a, b, c):
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyArray_MultiIterNew(2, ((void *)__pyx_v_a), ((void *)__pyx_v_b)); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 775; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":774
 *     return PyArray_MultiIterNew(1, <void*>a)
 * 
 * cdef inline object PyArray_MultiIterNew2(a, b):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(2, <void*>a, <void*>b)
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("numpy.PyArray_MultiIterNew2", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":777
 *     return PyArray_MultiIterNew(2, <void*>a, <void*>b)
 * 
 * cdef inline object PyArray_MultiIterNew3(a, b, c):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(3, <void*>a, <void*>b, <void*> c)
 * 
 */

static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew3(PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("PyArray_MultiIterNew3", 0);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":778
 * 
 * cdef inline object PyArray_MultiIterNew3(a, b, c):
 *     return PyArray_MultiIterNew(3, <void*>a, <void*>b, <void*> c)             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew4(a, b, c, d):
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyArray_MultiIterNew(3, ((void *)__pyx_v_a), ((void *)__pyx_v_b), ((void *)__pyx_v_c)); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 778; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":777
 *     return PyArray_MultiIterNew(2, <void*>a, <void*>b)
 * 
 * cdef inline object PyArray_MultiIterNew3(a, b, c):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(3, <void*>a, <void*>b, <void*> c)
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("numpy.PyArray_MultiIterNew3", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":780
 *     return PyArray_MultiIterNew(3, <void*>a, <void*>b, <void*> c)
 * 
 * cdef inline object PyArray_MultiIterNew4(a, b, c, d):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(4, <void*>a, <void*>b, <void*>c, <void*> d)
 * 
 */

static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew4(PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("PyArray_MultiIterNew4", 0);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":781
 * 
 * cdef inline object PyArray_MultiIterNew4(a, b, c, d):
 *     return PyArray_MultiIterNew(4, <void*>a, <void*>b, <void*>c, <void*> d)             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew5(a, b, c, d, e):
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyArray_MultiIterNew(4, ((void *)__pyx_v_a), ((void *)__pyx_v_b), ((void *)__pyx_v_c), ((void *)__pyx_v_d)); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 781; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":780
 *     return PyArray_MultiIterNew(3, <void*>a, <void*>b, <void*> c)
 * 
 * cdef inline object PyArray_MultiIterNew4(a, b, c, d):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(4, <void*>a, <void*>b, <void*>c, <void*> d)
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("numpy.PyArray_MultiIterNew4", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":783
 *     return PyArray_MultiIterNew(4, <void*>a, <void*>b, <void*>c, <void*> d)
 * 
 * cdef inline object PyArray_MultiIterNew5(a, b, c, d, e):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(5, <void*>a, <void*>b, <void*>c, <void*> d, <void*> e)
 * 
 */

static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew5(PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d, PyObject *__pyx_v_e) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("PyArray_MultiIterNew5", 0);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":784
 * 
 * cdef inline object PyArray_MultiIterNew5(a, b, c, d, e):
 *     return PyArray_MultiIterNew(5, <void*>a, <void*>b, <void*>c, <void*> d, <void*> e)             # <<<<<<<<<<<<<<
 * 
 * cdef inline char* _util_dtypestring(dtype descr, char* f, char* end, int* offset) except NULL:
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyArray_MultiIterNew(5, ((void *)__pyx_v_a), ((void *)__pyx_v_b), ((void *)__pyx_v_c), ((void *)__pyx_v_d), ((void *)__pyx_v_e)); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 784; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":783
 *     return PyArray_MultiIterNew(4, <void*>a, <void*>b, <void*>c, <void*> d)
 * 
 * cdef inline object PyArray_MultiIterNew5(a, b, c, d, e):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(5, <void*>a, <void*>b, <void*>c, <void*> d, <void*> e)
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("numpy.PyArray_MultiIterNew5", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":786
 *     return PyArray_MultiIterNew(5, <void*>a, <void*>b, <void*>c, <void*> d, <void*> e)
 * 
 * cdef inline char* _util_dtypestring(dtype descr, char* f, char* end, int* offset) except NULL:             # <<<<<<<<<<<<<<
 *     # Recursive utility function used in __getbuffer__ to get format
 *     # string. The new location in the format string is returned.
 */

static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *__pyx_v_descr, char *__pyx_v_f, char *__pyx_v_end, int *__pyx_v_offset) {
  PyArray_Descr *__pyx_v_child = 0;
  int __pyx_v_endian_detector;
  int __pyx_v_little_endian;
  PyObject *__pyx_v_fields = 0;
  PyObject *__pyx_v_childname = NULL;
  PyObject *__pyx_v_new_offset = NULL;
  PyObject *__pyx_v_t = NULL;
  char *__pyx_r;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  int __pyx_t_6;
  int __pyx_t_7;
  long __pyx_t_8;
  char *__pyx_t_9;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_util_dtypestring", 0);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":793
 *     cdef int delta_offset
 *     cdef tuple i
 *     cdef int endian_detector = 1             # <<<<<<<<<<<<<<
 *     cdef bint little_endian = ((<char*>&endian_detector)[0] != 0)
 *     cdef tuple fields
 */
  __pyx_v_endian_detector = 1;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":794
 *     cdef tuple i
 *     cdef int endian_detector = 1
 *     cdef bint little_endian = ((<char*>&endian_detector)[0] != 0)             # <<<<<<<<<<<<<<
 *     cdef tuple fields
 * 
 */
  __pyx_v_little_endian = ((((char *)(&__pyx_v_endian_detector))[0]) != 0);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":797
 *     cdef tuple fields
 * 
 *     for childname in descr.names:             # <<<<<<<<<<<<<<
 *         fields = descr.fields[childname]
 *         child, new_offset = fields
 */
  if (unlikely(__pyx_v_descr->names == Py_None)) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
    {__pyx_filename = __pyx_f[1]; __pyx_lineno = 797; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_t_1 = __pyx_v_descr->names; __Pyx_INCREF(__pyx_t_1); __pyx_t_2 = 0;
  for (;;) {
    if (__pyx_t_2 >= PyTuple_GET_SIZE(__pyx_t_1)) break;
    #if CYTHON_COMPILING_IN_CPYTHON
    __pyx_t_3 = PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_3); __pyx_t_2++; if (unlikely(0 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 797; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    #else
    __pyx_t_3 = PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 797; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    #endif
    __Pyx_XDECREF_SET(__pyx_v_childname, __pyx_t_3);
    __pyx_t_3 = 0;

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":798
 * 
 *     for childname in descr.names:
 *         fields = descr.fields[childname]             # <<<<<<<<<<<<<<
 *         child, new_offset = fields
 * 
 */
    if (unlikely(__pyx_v_descr->fields == Py_None)) {
      PyErr_SetString(PyExc_TypeError, "'NoneType' object is not subscriptable");
      {__pyx_filename = __pyx_f[1]; __pyx_lineno = 798; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_3 = __Pyx_PyDict_GetItem(__pyx_v_descr->fields, __pyx_v_childname); if (unlikely(__pyx_t_3 == NULL)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 798; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
    __Pyx_GOTREF(__pyx_t_3);
    if (!(likely(PyTuple_CheckExact(__pyx_t_3))||((__pyx_t_3) == Py_None)||(PyErr_Format(PyExc_TypeError, "Expected %.16s, got %.200s", "tuple", Py_TYPE(__pyx_t_3)->tp_name), 0))) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 798; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_XDECREF_SET(__pyx_v_fields, ((PyObject*)__pyx_t_3));
    __pyx_t_3 = 0;

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":799
 *     for childname in descr.names:
 *         fields = descr.fields[childname]
 *         child, new_offset = fields             # <<<<<<<<<<<<<<
 * 
 *         if (end - f) - <int>(new_offset - offset[0]) < 15:
 */
    if (likely(__pyx_v_fields != Py_None)) {
      PyObject* sequence = __pyx_v_fields;
      #if CYTHON_COMPILING_IN_CPYTHON
      Py_ssize_t size = Py_SIZE(sequence);
      #else
      Py_ssize_t size = PySequence_Size(sequence);
      #endif
      if (unlikely(size != 2)) {
        if (size > 2) __Pyx_RaiseTooManyValuesError(2);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        {__pyx_filename = __pyx_f[1]; __pyx_lineno = 799; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      }
      #if CYTHON_COMPILING_IN_CPYTHON
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_4 = PyTuple_GET_ITEM(sequence, 1); 
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_4);
      #else
      __pyx_t_3 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 799; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 799; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      #endif
    } else {
      __Pyx_RaiseNoneNotIterableError(); {__pyx_filename = __pyx_f[1]; __pyx_lineno = 799; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_ptype_5numpy_dtype))))) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 799; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_XDECREF_SET(__pyx_v_child, ((PyArray_Descr *)__pyx_t_3));
    __pyx_t_3 = 0;
    __Pyx_XDECREF_SET(__pyx_v_new_offset, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":801
 *         child, new_offset = fields
 * 
 *         if (end - f) - <int>(new_offset - offset[0]) < 15:             # <<<<<<<<<<<<<<
 *             raise RuntimeError(u"Format string allocated too short, see comment in numpy.pxd")
 * 
 */
    __pyx_t_4 = __Pyx_PyInt_From_int((__pyx_v_offset[0])); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 801; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_3 = PyNumber_Subtract(__pyx_v_new_offset, __pyx_t_4); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 801; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = __Pyx_PyInt_As_int(__pyx_t_3); if (unlikely((__pyx_t_5 == (int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 801; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_6 = ((((__pyx_v_end - __pyx_v_f) - ((int)__pyx_t_5)) < 15) != 0);
    if (__pyx_t_6) {

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":802
 * 
 *         if (end - f) - <int>(new_offset - offset[0]) < 15:
 *             raise RuntimeError(u"Format string allocated too short, see comment in numpy.pxd")             # <<<<<<<<<<<<<<
 * 
 *         if ((child.byteorder == c'>' and little_endian) or
 */
      __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_RuntimeError, __pyx_tuple__7, NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 802; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_Raise(__pyx_t_3, 0, 0, 0);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      {__pyx_filename = __pyx_f[1]; __pyx_lineno = 802; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":804
 *             raise RuntimeError(u"Format string allocated too short, see comment in numpy.pxd")
 * 
 *         if ((child.byteorder == c'>' and little_endian) or             # <<<<<<<<<<<<<<
 *             (child.byteorder == c'<' and not little_endian)):
 *             raise ValueError(u"Non-native byte order not supported")
 */
    __pyx_t_7 = ((__pyx_v_child->byteorder == '>') != 0);
    if (!__pyx_t_7) {
      goto __pyx_L8_next_or;
    } else {
    }
    __pyx_t_7 = (__pyx_v_little_endian != 0);
    if (!__pyx_t_7) {
    } else {
      __pyx_t_6 = __pyx_t_7;
      goto __pyx_L7_bool_binop_done;
    }
    __pyx_L8_next_or:;

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":805
 * 
 *         if ((child.byteorder == c'>' and little_endian) or
 *             (child.byteorder == c'<' and not little_endian)):             # <<<<<<<<<<<<<<
 *             raise ValueError(u"Non-native byte order not supported")
 *             # One could encode it in the format string and have Cython
 */
    __pyx_t_7 = ((__pyx_v_child->byteorder == '<') != 0);
    if (__pyx_t_7) {
    } else {
      __pyx_t_6 = __pyx_t_7;
      goto __pyx_L7_bool_binop_done;
    }
    __pyx_t_7 = ((!(__pyx_v_little_endian != 0)) != 0);
    __pyx_t_6 = __pyx_t_7;
    __pyx_L7_bool_binop_done:;
    if (__pyx_t_6) {

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":806
 *         if ((child.byteorder == c'>' and little_endian) or
 *             (child.byteorder == c'<' and not little_endian)):
 *             raise ValueError(u"Non-native byte order not supported")             # <<<<<<<<<<<<<<
 *             # One could encode it in the format string and have Cython
 *             # complain instead, BUT: < and > in format strings also imply
 */
      __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__8, NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 806; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_Raise(__pyx_t_3, 0, 0, 0);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      {__pyx_filename = __pyx_f[1]; __pyx_lineno = 806; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":816
 * 
 *         # Output padding bytes
 *         while offset[0] < new_offset:             # <<<<<<<<<<<<<<
 *             f[0] = 120 # "x"; pad byte
 *             f += 1
 */
    while (1) {
      __pyx_t_3 = __Pyx_PyInt_From_int((__pyx_v_offset[0])); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 816; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_t_3, __pyx_v_new_offset, Py_LT); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 816; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 816; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (!__pyx_t_6) break;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":817
 *         # Output padding bytes
 *         while offset[0] < new_offset:
 *             f[0] = 120 # "x"; pad byte             # <<<<<<<<<<<<<<
 *             f += 1
 *             offset[0] += 1
 */
      (__pyx_v_f[0]) = 120;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":818
 *         while offset[0] < new_offset:
 *             f[0] = 120 # "x"; pad byte
 *             f += 1             # <<<<<<<<<<<<<<
 *             offset[0] += 1
 * 
 */
      __pyx_v_f = (__pyx_v_f + 1);

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":819
 *             f[0] = 120 # "x"; pad byte
 *             f += 1
 *             offset[0] += 1             # <<<<<<<<<<<<<<
 * 
 *         offset[0] += child.itemsize
 */
      __pyx_t_8 = 0;
      (__pyx_v_offset[__pyx_t_8]) = ((__pyx_v_offset[__pyx_t_8]) + 1);
    }

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":821
 *             offset[0] += 1
 * 
 *         offset[0] += child.itemsize             # <<<<<<<<<<<<<<
 * 
 *         if not PyDataType_HASFIELDS(child):
 */
    __pyx_t_8 = 0;
    (__pyx_v_offset[__pyx_t_8]) = ((__pyx_v_offset[__pyx_t_8]) + __pyx_v_child->elsize);

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":823
 *         offset[0] += child.itemsize
 * 
 *         if not PyDataType_HASFIELDS(child):             # <<<<<<<<<<<<<<
 *             t = child.type_num
 *             if end - f < 5:
 */
    __pyx_t_6 = ((!(PyDataType_HASFIELDS(__pyx_v_child) != 0)) != 0);
    if (__pyx_t_6) {

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":824
 * 
 *         if not PyDataType_HASFIELDS(child):
 *             t = child.type_num             # <<<<<<<<<<<<<<
 *             if end - f < 5:
 *                 raise RuntimeError(u"Format string allocated too short.")
 */
      __pyx_t_4 = __Pyx_PyInt_From_int(__pyx_v_child->type_num); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 824; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_XDECREF_SET(__pyx_v_t, __pyx_t_4);
      __pyx_t_4 = 0;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":825
 *         if not PyDataType_HASFIELDS(child):
 *             t = child.type_num
 *             if end - f < 5:             # <<<<<<<<<<<<<<
 *                 raise RuntimeError(u"Format string allocated too short.")
 * 
 */
      __pyx_t_6 = (((__pyx_v_end - __pyx_v_f) < 5) != 0);
      if (__pyx_t_6) {

        /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":826
 *             t = child.type_num
 *             if end - f < 5:
 *                 raise RuntimeError(u"Format string allocated too short.")             # <<<<<<<<<<<<<<
 * 
 *             # Until ticket #99 is fixed, use integers to avoid warnings
 */
        __pyx_t_4 = __Pyx_PyObject_Call(__pyx_builtin_RuntimeError, __pyx_tuple__9, NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 826; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_4);
        __Pyx_Raise(__pyx_t_4, 0, 0, 0);
        __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
        {__pyx_filename = __pyx_f[1]; __pyx_lineno = 826; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":829
 * 
 *             # Until ticket #99 is fixed, use integers to avoid warnings
 *             if   t == NPY_BYTE:        f[0] =  98 #"b"             # <<<<<<<<<<<<<<
 *             elif t == NPY_UBYTE:       f[0] =  66 #"B"
 *             elif t == NPY_SHORT:       f[0] = 104 #"h"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_BYTE); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 829; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 829; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 829; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 98;
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":830
 *             # Until ticket #99 is fixed, use integers to avoid warnings
 *             if   t == NPY_BYTE:        f[0] =  98 #"b"
 *             elif t == NPY_UBYTE:       f[0] =  66 #"B"             # <<<<<<<<<<<<<<
 *             elif t == NPY_SHORT:       f[0] = 104 #"h"
 *             elif t == NPY_USHORT:      f[0] =  72 #"H"
 */
      __pyx_t_3 = PyInt_FromLong(NPY_UBYTE); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 830; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 830; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 830; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 66;
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":831
 *             if   t == NPY_BYTE:        f[0] =  98 #"b"
 *             elif t == NPY_UBYTE:       f[0] =  66 #"B"
 *             elif t == NPY_SHORT:       f[0] = 104 #"h"             # <<<<<<<<<<<<<<
 *             elif t == NPY_USHORT:      f[0] =  72 #"H"
 *             elif t == NPY_INT:         f[0] = 105 #"i"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_SHORT); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 831; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 831; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 831; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 104;
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":832
 *             elif t == NPY_UBYTE:       f[0] =  66 #"B"
 *             elif t == NPY_SHORT:       f[0] = 104 #"h"
 *             elif t == NPY_USHORT:      f[0] =  72 #"H"             # <<<<<<<<<<<<<<
 *             elif t == NPY_INT:         f[0] = 105 #"i"
 *             elif t == NPY_UINT:        f[0] =  73 #"I"
 */
      __pyx_t_3 = PyInt_FromLong(NPY_USHORT); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 832; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 832; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 832; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 72;
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":833
 *             elif t == NPY_SHORT:       f[0] = 104 #"h"
 *             elif t == NPY_USHORT:      f[0] =  72 #"H"
 *             elif t == NPY_INT:         f[0] = 105 #"i"             # <<<<<<<<<<<<<<
 *             elif t == NPY_UINT:        f[0] =  73 #"I"
 *             elif t == NPY_LONG:        f[0] = 108 #"l"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_INT); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 833; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 833; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 833; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 105;
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":834
 *             elif t == NPY_USHORT:      f[0] =  72 #"H"
 *             elif t == NPY_INT:         f[0] = 105 #"i"
 *             elif t == NPY_UINT:        f[0] =  73 #"I"             # <<<<<<<<<<<<<<
 *             elif t == NPY_LONG:        f[0] = 108 #"l"
 *             elif t == NPY_ULONG:       f[0] = 76  #"L"
 */
      __pyx_t_3 = PyInt_FromLong(NPY_UINT); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 834; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 834; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 834; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 73;
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":835
 *             elif t == NPY_INT:         f[0] = 105 #"i"
 *             elif t == NPY_UINT:        f[0] =  73 #"I"
 *             elif t == NPY_LONG:        f[0] = 108 #"l"             # <<<<<<<<<<<<<<
 *             elif t == NPY_ULONG:       f[0] = 76  #"L"
 *             elif t == NPY_LONGLONG:    f[0] = 113 #"q"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_LONG); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 835; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 835; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 835; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 108;
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":836
 *             elif t == NPY_UINT:        f[0] =  73 #"I"
 *             elif t == NPY_LONG:        f[0] = 108 #"l"
 *             elif t == NPY_ULONG:       f[0] = 76  #"L"             # <<<<<<<<<<<<<<
 *             elif t == NPY_LONGLONG:    f[0] = 113 #"q"
 *             elif t == NPY_ULONGLONG:   f[0] = 81  #"Q"
 */
      __pyx_t_3 = PyInt_FromLong(NPY_ULONG); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 836; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 836; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 836; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 76;
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":837
 *             elif t == NPY_LONG:        f[0] = 108 #"l"
 *             elif t == NPY_ULONG:       f[0] = 76  #"L"
 *             elif t == NPY_LONGLONG:    f[0] = 113 #"q"             # <<<<<<<<<<<<<<
 *             elif t == NPY_ULONGLONG:   f[0] = 81  #"Q"
 *             elif t == NPY_FLOAT:       f[0] = 102 #"f"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_LONGLONG); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 837; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 837; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 837; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 113;
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":838
 *             elif t == NPY_ULONG:       f[0] = 76  #"L"
 *             elif t == NPY_LONGLONG:    f[0] = 113 #"q"
 *             elif t == NPY_ULONGLONG:   f[0] = 81  #"Q"             # <<<<<<<<<<<<<<
 *             elif t == NPY_FLOAT:       f[0] = 102 #"f"
 *             elif t == NPY_DOUBLE:      f[0] = 100 #"d"
 */
      __pyx_t_3 = PyInt_FromLong(NPY_ULONGLONG); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 838; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 838; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 838; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 81;
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":839
 *             elif t == NPY_LONGLONG:    f[0] = 113 #"q"
 *             elif t == NPY_ULONGLONG:   f[0] = 81  #"Q"
 *             elif t == NPY_FLOAT:       f[0] = 102 #"f"             # <<<<<<<<<<<<<<
 *             elif t == NPY_DOUBLE:      f[0] = 100 #"d"
 *             elif t == NPY_LONGDOUBLE:  f[0] = 103 #"g"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_FLOAT); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 839; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 839; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 839; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 102;
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":840
 *             elif t == NPY_ULONGLONG:   f[0] = 81  #"Q"
 *             elif t == NPY_FLOAT:       f[0] = 102 #"f"
 *             elif t == NPY_DOUBLE:      f[0] = 100 #"d"             # <<<<<<<<<<<<<<
 *             elif t == NPY_LONGDOUBLE:  f[0] = 103 #"g"
 *             elif t == NPY_CFLOAT:      f[0] = 90; f[1] = 102; f += 1 # Zf
 */
      __pyx_t_3 = PyInt_FromLong(NPY_DOUBLE); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 840; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 840; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 840; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 100;
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":841
 *             elif t == NPY_FLOAT:       f[0] = 102 #"f"
 *             elif t == NPY_DOUBLE:      f[0] = 100 #"d"
 *             elif t == NPY_LONGDOUBLE:  f[0] = 103 #"g"             # <<<<<<<<<<<<<<
 *             elif t == NPY_CFLOAT:      f[0] = 90; f[1] = 102; f += 1 # Zf
 *             elif t == NPY_CDOUBLE:     f[0] = 90; f[1] = 100; f += 1 # Zd
 */
      __pyx_t_4 = PyInt_FromLong(NPY_LONGDOUBLE); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 841; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 841; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 841; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 103;
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":842
 *             elif t == NPY_DOUBLE:      f[0] = 100 #"d"
 *             elif t == NPY_LONGDOUBLE:  f[0] = 103 #"g"
 *             elif t == NPY_CFLOAT:      f[0] = 90; f[1] = 102; f += 1 # Zf             # <<<<<<<<<<<<<<
 *             elif t == NPY_CDOUBLE:     f[0] = 90; f[1] = 100; f += 1 # Zd
 *             elif t == NPY_CLONGDOUBLE: f[0] = 90; f[1] = 103; f += 1 # Zg
 */
      __pyx_t_3 = PyInt_FromLong(NPY_CFLOAT); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 842; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 842; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 842; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 90;
        (__pyx_v_f[1]) = 102;
        __pyx_v_f = (__pyx_v_f + 1);
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":843
 *             elif t == NPY_LONGDOUBLE:  f[0] = 103 #"g"
 *             elif t == NPY_CFLOAT:      f[0] = 90; f[1] = 102; f += 1 # Zf
 *             elif t == NPY_CDOUBLE:     f[0] = 90; f[1] = 100; f += 1 # Zd             # <<<<<<<<<<<<<<
 *             elif t == NPY_CLONGDOUBLE: f[0] = 90; f[1] = 103; f += 1 # Zg
 *             elif t == NPY_OBJECT:      f[0] = 79 #"O"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_CDOUBLE); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 843; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 843; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 843; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 90;
        (__pyx_v_f[1]) = 100;
        __pyx_v_f = (__pyx_v_f + 1);
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":844
 *             elif t == NPY_CFLOAT:      f[0] = 90; f[1] = 102; f += 1 # Zf
 *             elif t == NPY_CDOUBLE:     f[0] = 90; f[1] = 100; f += 1 # Zd
 *             elif t == NPY_CLONGDOUBLE: f[0] = 90; f[1] = 103; f += 1 # Zg             # <<<<<<<<<<<<<<
 *             elif t == NPY_OBJECT:      f[0] = 79 #"O"
 *             else:
 */
      __pyx_t_3 = PyInt_FromLong(NPY_CLONGDOUBLE); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 844; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 844; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 844; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 90;
        (__pyx_v_f[1]) = 103;
        __pyx_v_f = (__pyx_v_f + 1);
        goto __pyx_L15;
      }

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":845
 *             elif t == NPY_CDOUBLE:     f[0] = 90; f[1] = 100; f += 1 # Zd
 *             elif t == NPY_CLONGDOUBLE: f[0] = 90; f[1] = 103; f += 1 # Zg
 *             elif t == NPY_OBJECT:      f[0] = 79 #"O"             # <<<<<<<<<<<<<<
 *             else:
 *                 raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)
 */
      __pyx_t_4 = PyInt_FromLong(NPY_OBJECT); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 845; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 845; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 845; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 79;
        goto __pyx_L15;
      }
      /*else*/ {

        /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":847
 *             elif t == NPY_OBJECT:      f[0] = 79 #"O"
 *             else:
 *                 raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)             # <<<<<<<<<<<<<<
 *             f += 1
 *         else:
 */
        __pyx_t_3 = PyUnicode_Format(__pyx_kp_u_unknown_dtype_code_in_numpy_pxd, __pyx_v_t); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 847; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_3);
        __pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 847; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_4);
        PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_3);
        __Pyx_GIVEREF(__pyx_t_3);
        __pyx_t_3 = 0;
        __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_t_4, NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 847; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_3);
        __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
        __Pyx_Raise(__pyx_t_3, 0, 0, 0);
        __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
        {__pyx_filename = __pyx_f[1]; __pyx_lineno = 847; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      }
      __pyx_L15:;

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":848
 *             else:
 *                 raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)
 *             f += 1             # <<<<<<<<<<<<<<
 *         else:
 *             # Cython ignores struct boundary information ("T{...}"),
 */
      __pyx_v_f = (__pyx_v_f + 1);
      goto __pyx_L13;
    }
    /*else*/ {

      /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":852
 *             # Cython ignores struct boundary information ("T{...}"),
 *             # so don't output it
 *             f = _util_dtypestring(child, f, end, offset)             # <<<<<<<<<<<<<<
 *     return f
 * 
 */
      __pyx_t_9 = __pyx_f_5numpy__util_dtypestring(__pyx_v_child, __pyx_v_f, __pyx_v_end, __pyx_v_offset); if (unlikely(__pyx_t_9 == NULL)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 852; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __pyx_v_f = __pyx_t_9;
    }
    __pyx_L13:;

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":797
 *     cdef tuple fields
 * 
 *     for childname in descr.names:             # <<<<<<<<<<<<<<
 *         fields = descr.fields[childname]
 *         child, new_offset = fields
 */
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":853
 *             # so don't output it
 *             f = _util_dtypestring(child, f, end, offset)
 *     return f             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_f;
  goto __pyx_L0;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":786
 *     return PyArray_MultiIterNew(5, <void*>a, <void*>b, <void*>c, <void*> d, <void*> e)
 * 
 * cdef inline char* _util_dtypestring(dtype descr, char* f, char* end, int* offset) except NULL:             # <<<<<<<<<<<<<<
 *     # Recursive utility function used in __getbuffer__ to get format
 *     # string. The new location in the format string is returned.
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("numpy._util_dtypestring", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF((PyObject *)__pyx_v_child);
  __Pyx_XDECREF(__pyx_v_fields);
  __Pyx_XDECREF(__pyx_v_childname);
  __Pyx_XDECREF(__pyx_v_new_offset);
  __Pyx_XDECREF(__pyx_v_t);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":969
 * 
 * 
 * cdef inline void set_array_base(ndarray arr, object base):             # <<<<<<<<<<<<<<
 *      cdef PyObject* baseptr
 *      if base is None:
 */

static CYTHON_INLINE void __pyx_f_5numpy_set_array_base(PyArrayObject *__pyx_v_arr, PyObject *__pyx_v_base) {
  PyObject *__pyx_v_baseptr;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  int __pyx_t_2;
  __Pyx_RefNannySetupContext("set_array_base", 0);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":971
 * cdef inline void set_array_base(ndarray arr, object base):
 *      cdef PyObject* baseptr
 *      if base is None:             # <<<<<<<<<<<<<<
 *          baseptr = NULL
 *      else:
 */
  __pyx_t_1 = (__pyx_v_base == Py_None);
  __pyx_t_2 = (__pyx_t_1 != 0);
  if (__pyx_t_2) {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":972
 *      cdef PyObject* baseptr
 *      if base is None:
 *          baseptr = NULL             # <<<<<<<<<<<<<<
 *      else:
 *          Py_INCREF(base) # important to do this before decref below!
 */
    __pyx_v_baseptr = NULL;
    goto __pyx_L3;
  }
  /*else*/ {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":974
 *          baseptr = NULL
 *      else:
 *          Py_INCREF(base) # important to do this before decref below!             # <<<<<<<<<<<<<<
 *          baseptr = <PyObject*>base
 *      Py_XDECREF(arr.base)
 */
    Py_INCREF(__pyx_v_base);

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":975
 *      else:
 *          Py_INCREF(base) # important to do this before decref below!
 *          baseptr = <PyObject*>base             # <<<<<<<<<<<<<<
 *      Py_XDECREF(arr.base)
 *      arr.base = baseptr
 */
    __pyx_v_baseptr = ((PyObject *)__pyx_v_base);
  }
  __pyx_L3:;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":976
 *          Py_INCREF(base) # important to do this before decref below!
 *          baseptr = <PyObject*>base
 *      Py_XDECREF(arr.base)             # <<<<<<<<<<<<<<
 *      arr.base = baseptr
 * 
 */
  Py_XDECREF(__pyx_v_arr->base);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":977
 *          baseptr = <PyObject*>base
 *      Py_XDECREF(arr.base)
 *      arr.base = baseptr             # <<<<<<<<<<<<<<
 * 
 * cdef inline object get_array_base(ndarray arr):
 */
  __pyx_v_arr->base = __pyx_v_baseptr;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":969
 * 
 * 
 * cdef inline void set_array_base(ndarray arr, object base):             # <<<<<<<<<<<<<<
 *      cdef PyObject* baseptr
 *      if base is None:
 */

  /* function exit code */
  __Pyx_RefNannyFinishContext();
}

/* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":979
 *      arr.base = baseptr
 * 
 * cdef inline object get_array_base(ndarray arr):             # <<<<<<<<<<<<<<
 *     if arr.base is NULL:
 *         return None
 */

static CYTHON_INLINE PyObject *__pyx_f_5numpy_get_array_base(PyArrayObject *__pyx_v_arr) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  __Pyx_RefNannySetupContext("get_array_base", 0);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":980
 * 
 * cdef inline object get_array_base(ndarray arr):
 *     if arr.base is NULL:             # <<<<<<<<<<<<<<
 *         return None
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_arr->base == NULL) != 0);
  if (__pyx_t_1) {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":981
 * cdef inline object get_array_base(ndarray arr):
 *     if arr.base is NULL:
 *         return None             # <<<<<<<<<<<<<<
 *     else:
 *         return <object>arr.base
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_INCREF(Py_None);
    __pyx_r = Py_None;
    goto __pyx_L0;
  }
  /*else*/ {

    /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":983
 *         return None
 *     else:
 *         return <object>arr.base             # <<<<<<<<<<<<<<
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_INCREF(((PyObject *)__pyx_v_arr->base));
    __pyx_r = ((PyObject *)__pyx_v_arr->base);
    goto __pyx_L0;
  }

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":979
 *      arr.base = baseptr
 * 
 * cdef inline object get_array_base(ndarray arr):             # <<<<<<<<<<<<<<
 *     if arr.base is NULL:
 *         return None
 */

  /* function exit code */
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyMethodDef __pyx_methods[] = {
  {0, 0, 0, 0}
};

#if PY_MAJOR_VERSION >= 3
static struct PyModuleDef __pyx_moduledef = {
  #if PY_VERSION_HEX < 0x03020000
    { PyObject_HEAD_INIT(NULL) NULL, 0, NULL },
  #else
    PyModuleDef_HEAD_INIT,
  #endif
    "routines",
    __pyx_k_Miscellaneous_fff_routines_Auth, /* m_doc */
    -1, /* m_size */
    __pyx_methods /* m_methods */,
    NULL, /* m_reload */
    NULL, /* m_traverse */
    NULL, /* m_clear */
    NULL /* m_free */
};
#endif

static __Pyx_StringTabEntry __pyx_string_tab[] = {
  {&__pyx_kp_s_0_1, __pyx_k_0_1, sizeof(__pyx_k_0_1), 0, 0, 1, 0},
  {&__pyx_n_s_Aux, __pyx_k_Aux, sizeof(__pyx_k_Aux), 0, 0, 1, 1},
  {&__pyx_n_s_C, __pyx_k_C, sizeof(__pyx_k_C), 0, 0, 1, 1},
  {&__pyx_n_s_D2, __pyx_k_D2, sizeof(__pyx_k_D2), 0, 0, 1, 1},
  {&__pyx_kp_u_Format_string_allocated_too_shor, __pyx_k_Format_string_allocated_too_shor, sizeof(__pyx_k_Format_string_allocated_too_shor), 0, 1, 0, 0},
  {&__pyx_kp_u_Format_string_allocated_too_shor_2, __pyx_k_Format_string_allocated_too_shor_2, sizeof(__pyx_k_Format_string_allocated_too_shor_2), 0, 1, 0, 0},
  {&__pyx_n_s_FutureWarning, __pyx_k_FutureWarning, sizeof(__pyx_k_FutureWarning), 0, 0, 1, 1},
  {&__pyx_kp_s_Module_nipy_labs_utils_routines, __pyx_k_Module_nipy_labs_utils_routines, sizeof(__pyx_k_Module_nipy_labs_utils_routines), 0, 0, 1, 0},
  {&__pyx_kp_u_Non_native_byte_order_not_suppor, __pyx_k_Non_native_byte_order_not_suppor, sizeof(__pyx_k_Non_native_byte_order_not_suppor), 0, 1, 0, 0},
  {&__pyx_n_s_P, __pyx_k_P, sizeof(__pyx_k_P), 0, 0, 1, 1},
  {&__pyx_n_s_RuntimeError, __pyx_k_RuntimeError, sizeof(__pyx_k_RuntimeError), 0, 0, 1, 1},
  {&__pyx_n_s_S, __pyx_k_S, sizeof(__pyx_k_S), 0, 0, 1, 1},
  {&__pyx_n_s_Sx, __pyx_k_Sx, sizeof(__pyx_k_Sx), 0, 0, 1, 1},
  {&__pyx_n_s_Sx_tmp, __pyx_k_Sx_tmp, sizeof(__pyx_k_Sx_tmp), 0, 0, 1, 1},
  {&__pyx_n_s_U, __pyx_k_U, sizeof(__pyx_k_U), 0, 0, 1, 1},
  {&__pyx_kp_s_Users_mb312_dev_trees_nipy_nipy, __pyx_k_Users_mb312_dev_trees_nipy_nipy, sizeof(__pyx_k_Users_mb312_dev_trees_nipy_nipy), 0, 0, 1, 0},
  {&__pyx_n_s_VX, __pyx_k_VX, sizeof(__pyx_k_VX), 0, 0, 1, 1},
  {&__pyx_n_s_VX_flat, __pyx_k_VX_flat, sizeof(__pyx_k_VX_flat), 0, 0, 1, 1},
  {&__pyx_n_s_ValueError, __pyx_k_ValueError, sizeof(__pyx_k_ValueError), 0, 0, 1, 1},
  {&__pyx_n_s_Vt, __pyx_k_Vt, sizeof(__pyx_k_Vt), 0, 0, 1, 1},
  {&__pyx_n_s_X, __pyx_k_X, sizeof(__pyx_k_X), 0, 0, 1, 1},
  {&__pyx_n_s_X_flat, __pyx_k_X_flat, sizeof(__pyx_k_X_flat), 0, 0, 1, 1},
  {&__pyx_n_s_Y, __pyx_k_Y, sizeof(__pyx_k_Y), 0, 0, 1, 1},
  {&__pyx_n_s_axis, __pyx_k_axis, sizeof(__pyx_k_axis), 0, 0, 1, 1},
  {&__pyx_n_s_combinations, __pyx_k_combinations, sizeof(__pyx_k_combinations), 0, 0, 1, 1},
  {&__pyx_n_s_d2, __pyx_k_d2, sizeof(__pyx_k_d2), 0, 0, 1, 1},
  {&__pyx_n_s_dim, __pyx_k_dim, sizeof(__pyx_k_dim), 0, 0, 1, 1},
  {&__pyx_n_s_dims, __pyx_k_dims, sizeof(__pyx_k_dims), 0, 0, 1, 1},
  {&__pyx_n_s_dmax, __pyx_k_dmax, sizeof(__pyx_k_dmax), 0, 0, 1, 1},
  {&__pyx_n_s_dmin, __pyx_k_dmin, sizeof(__pyx_k_dmin), 0, 0, 1, 1},
  {&__pyx_n_s_endims, __pyx_k_endims, sizeof(__pyx_k_endims), 0, 0, 1, 1},
  {&__pyx_n_s_gamln, __pyx_k_gamln, sizeof(__pyx_k_gamln), 0, 0, 1, 1},
  {&__pyx_n_s_i, __pyx_k_i, sizeof(__pyx_k_i), 0, 0, 1, 1},
  {&__pyx_n_s_import, __pyx_k_import, sizeof(__pyx_k_import), 0, 0, 1, 1},
  {&__pyx_n_s_info, __pyx_k_info, sizeof(__pyx_k_info), 0, 0, 1, 1},
  {&__pyx_n_s_interp, __pyx_k_interp, sizeof(__pyx_k_interp), 0, 0, 1, 1},
  {&__pyx_n_s_iwork, __pyx_k_iwork, sizeof(__pyx_k_iwork), 0, 0, 1, 1},
  {&__pyx_n_s_k, __pyx_k_k, sizeof(__pyx_k_k), 0, 0, 1, 1},
  {&__pyx_n_s_liwork, __pyx_k_liwork, sizeof(__pyx_k_liwork), 0, 0, 1, 1},
  {&__pyx_n_s_lwork, __pyx_k_lwork, sizeof(__pyx_k_lwork), 0, 0, 1, 1},
  {&__pyx_n_s_m, __pyx_k_m, sizeof(__pyx_k_m), 0, 0, 1, 1},
  {&__pyx_n_s_magic, __pyx_k_magic, sizeof(__pyx_k_magic), 0, 0, 1, 1},
  {&__pyx_n_s_mahalanobis, __pyx_k_mahalanobis, sizeof(__pyx_k_mahalanobis), 0, 0, 1, 1},
  {&__pyx_n_s_main, __pyx_k_main, sizeof(__pyx_k_main), 0, 0, 1, 1},
  {&__pyx_n_s_median, __pyx_k_median, sizeof(__pyx_k_median), 0, 0, 1, 1},
  {&__pyx_n_s_multi, __pyx_k_multi, sizeof(__pyx_k_multi), 0, 0, 1, 1},
  {&__pyx_n_s_n, __pyx_k_n, sizeof(__pyx_k_n), 0, 0, 1, 1},
  {&__pyx_kp_u_ndarray_is_not_C_contiguous, __pyx_k_ndarray_is_not_C_contiguous, sizeof(__pyx_k_ndarray_is_not_C_contiguous), 0, 1, 0, 0},
  {&__pyx_kp_u_ndarray_is_not_Fortran_contiguou, __pyx_k_ndarray_is_not_Fortran_contiguou, sizeof(__pyx_k_ndarray_is_not_Fortran_contiguou), 0, 1, 0, 0},
  {&__pyx_n_s_nipy_labs_utils_routines, __pyx_k_nipy_labs_utils_routines, sizeof(__pyx_k_nipy_labs_utils_routines), 0, 0, 1, 1},
  {&__pyx_n_s_np, __pyx_k_np, sizeof(__pyx_k_np), 0, 0, 1, 1},
  {&__pyx_n_s_numpy, __pyx_k_numpy, sizeof(__pyx_k_numpy), 0, 0, 1, 1},
  {&__pyx_n_s_p, __pyx_k_p, sizeof(__pyx_k_p), 0, 0, 1, 1},
  {&__pyx_n_s_permutations, __pyx_k_permutations, sizeof(__pyx_k_permutations), 0, 0, 1, 1},
  {&__pyx_n_s_pi, __pyx_k_pi, sizeof(__pyx_k_pi), 0, 0, 1, 1},
  {&__pyx_n_s_pi_view, __pyx_k_pi_view, sizeof(__pyx_k_pi_view), 0, 0, 1, 1},
  {&__pyx_n_s_psi, __pyx_k_psi, sizeof(__pyx_k_psi), 0, 0, 1, 1},
  {&__pyx_n_s_quantile, __pyx_k_quantile, sizeof(__pyx_k_quantile), 0, 0, 1, 1},
  {&__pyx_n_s_range, __pyx_k_range, sizeof(__pyx_k_range), 0, 0, 1, 1},
  {&__pyx_n_s_ratio, __pyx_k_ratio, sizeof(__pyx_k_ratio), 0, 0, 1, 1},
  {&__pyx_n_s_reshape, __pyx_k_reshape, sizeof(__pyx_k_reshape), 0, 0, 1, 1},
  {&__pyx_n_s_s, __pyx_k_s, sizeof(__pyx_k_s), 0, 0, 1, 1},
  {&__pyx_n_s_s_tmp, __pyx_k_s_tmp, sizeof(__pyx_k_s_tmp), 0, 0, 1, 1},
  {&__pyx_n_s_shape, __pyx_k_shape, sizeof(__pyx_k_shape), 0, 0, 1, 1},
  {&__pyx_n_s_stacklevel, __pyx_k_stacklevel, sizeof(__pyx_k_stacklevel), 0, 0, 1, 1},
  {&__pyx_n_s_svd, __pyx_k_svd, sizeof(__pyx_k_svd), 0, 0, 1, 1},
  {&__pyx_n_s_test, __pyx_k_test, sizeof(__pyx_k_test), 0, 0, 1, 1},
  {&__pyx_kp_u_unknown_dtype_code_in_numpy_pxd, __pyx_k_unknown_dtype_code_in_numpy_pxd, sizeof(__pyx_k_unknown_dtype_code_in_numpy_pxd), 0, 1, 0, 0},
  {&__pyx_n_s_version, __pyx_k_version, sizeof(__pyx_k_version), 0, 0, 1, 1},
  {&__pyx_n_s_vx, __pyx_k_vx, sizeof(__pyx_k_vx), 0, 0, 1, 1},
  {&__pyx_n_s_vx_tmp, __pyx_k_vx_tmp, sizeof(__pyx_k_vx_tmp), 0, 0, 1, 1},
  {&__pyx_n_s_warn, __pyx_k_warn, sizeof(__pyx_k_warn), 0, 0, 1, 1},
  {&__pyx_n_s_warnings, __pyx_k_warnings, sizeof(__pyx_k_warnings), 0, 0, 1, 1},
  {&__pyx_n_s_work, __pyx_k_work, sizeof(__pyx_k_work), 0, 0, 1, 1},
  {&__pyx_n_s_x, __pyx_k_x, sizeof(__pyx_k_x), 0, 0, 1, 1},
  {&__pyx_n_s_x_flat, __pyx_k_x_flat, sizeof(__pyx_k_x_flat), 0, 0, 1, 1},
  {&__pyx_n_s_x_flat_tmp, __pyx_k_x_flat_tmp, sizeof(__pyx_k_x_flat_tmp), 0, 0, 1, 1},
  {&__pyx_n_s_x_tmp, __pyx_k_x_tmp, sizeof(__pyx_k_x_tmp), 0, 0, 1, 1},
  {&__pyx_n_s_y, __pyx_k_y, sizeof(__pyx_k_y), 0, 0, 1, 1},
  {&__pyx_n_s_zeros, __pyx_k_zeros, sizeof(__pyx_k_zeros), 0, 0, 1, 1},
  {0, 0, 0, 0, 0, 0, 0}
};
static int __Pyx_InitCachedBuiltins(void) {
  __pyx_builtin_FutureWarning = __Pyx_GetBuiltinName(__pyx_n_s_FutureWarning); if (!__pyx_builtin_FutureWarning) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 17; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_builtin_ValueError = __Pyx_GetBuiltinName(__pyx_n_s_ValueError); if (!__pyx_builtin_ValueError) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 218; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_builtin_range = __Pyx_GetBuiltinName(__pyx_n_s_range); if (!__pyx_builtin_range) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 231; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_builtin_RuntimeError = __Pyx_GetBuiltinName(__pyx_n_s_RuntimeError); if (!__pyx_builtin_RuntimeError) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 802; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  return 0;
  __pyx_L1_error:;
  return -1;
}

static int __Pyx_InitCachedConstants(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_InitCachedConstants", 0);

  /* "nipy/labs/utils/routines.pyx":114
 * 
 *     # Flatten input variance array
 *     VX_flat = VX.reshape( [dim*dim]+list(VX.shape[2:]) )             # <<<<<<<<<<<<<<
 * 
 *     # Create a new array iterator
 */
  __pyx_slice_ = PySlice_New(__pyx_int_2, Py_None, Py_None); if (unlikely(!__pyx_slice_)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice_);
  __Pyx_GIVEREF(__pyx_slice_);

  /* "nipy/labs/utils/routines.pyx":145
 * 
 *     # Return
 *     D2 = D2.reshape(VX.shape[2:])             # <<<<<<<<<<<<<<
 *     return D2
 * 
 */
  __pyx_slice__2 = PySlice_New(__pyx_int_2, Py_None, Py_None); if (unlikely(!__pyx_slice__2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 145; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__2);
  __Pyx_GIVEREF(__pyx_slice__2);

  /* "nipy/labs/utils/routines.pyx":197
 * 
 *     # Allocate output array
 *     endims = list(X.shape[2:])             # <<<<<<<<<<<<<<
 *     S = np.zeros([dmin]+endims)
 * 
 */
  __pyx_slice__3 = PySlice_New(__pyx_int_2, Py_None, Py_None); if (unlikely(!__pyx_slice__3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 197; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__3);
  __Pyx_GIVEREF(__pyx_slice__3);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":218
 *             if ((flags & pybuf.PyBUF_C_CONTIGUOUS == pybuf.PyBUF_C_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_C_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not C contiguous")             # <<<<<<<<<<<<<<
 * 
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 */
  __pyx_tuple__4 = PyTuple_Pack(1, __pyx_kp_u_ndarray_is_not_C_contiguous); if (unlikely(!__pyx_tuple__4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 218; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__4);
  __Pyx_GIVEREF(__pyx_tuple__4);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":222
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_F_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not Fortran contiguous")             # <<<<<<<<<<<<<<
 * 
 *             info.buf = PyArray_DATA(self)
 */
  __pyx_tuple__5 = PyTuple_Pack(1, __pyx_kp_u_ndarray_is_not_Fortran_contiguou); if (unlikely(!__pyx_tuple__5)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 222; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__5);
  __Pyx_GIVEREF(__pyx_tuple__5);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":260
 *                 if ((descr.byteorder == c'>' and little_endian) or
 *                     (descr.byteorder == c'<' and not little_endian)):
 *                     raise ValueError(u"Non-native byte order not supported")             # <<<<<<<<<<<<<<
 *                 if   t == NPY_BYTE:        f = "b"
 *                 elif t == NPY_UBYTE:       f = "B"
 */
  __pyx_tuple__6 = PyTuple_Pack(1, __pyx_kp_u_Non_native_byte_order_not_suppor); if (unlikely(!__pyx_tuple__6)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 260; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__6);
  __Pyx_GIVEREF(__pyx_tuple__6);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":802
 * 
 *         if (end - f) - <int>(new_offset - offset[0]) < 15:
 *             raise RuntimeError(u"Format string allocated too short, see comment in numpy.pxd")             # <<<<<<<<<<<<<<
 * 
 *         if ((child.byteorder == c'>' and little_endian) or
 */
  __pyx_tuple__7 = PyTuple_Pack(1, __pyx_kp_u_Format_string_allocated_too_shor); if (unlikely(!__pyx_tuple__7)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 802; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__7);
  __Pyx_GIVEREF(__pyx_tuple__7);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":806
 *         if ((child.byteorder == c'>' and little_endian) or
 *             (child.byteorder == c'<' and not little_endian)):
 *             raise ValueError(u"Non-native byte order not supported")             # <<<<<<<<<<<<<<
 *             # One could encode it in the format string and have Cython
 *             # complain instead, BUT: < and > in format strings also imply
 */
  __pyx_tuple__8 = PyTuple_Pack(1, __pyx_kp_u_Non_native_byte_order_not_suppor); if (unlikely(!__pyx_tuple__8)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 806; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__8);
  __Pyx_GIVEREF(__pyx_tuple__8);

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":826
 *             t = child.type_num
 *             if end - f < 5:
 *                 raise RuntimeError(u"Format string allocated too short.")             # <<<<<<<<<<<<<<
 * 
 *             # Until ticket #99 is fixed, use integers to avoid warnings
 */
  __pyx_tuple__9 = PyTuple_Pack(1, __pyx_kp_u_Format_string_allocated_too_shor_2); if (unlikely(!__pyx_tuple__9)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 826; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__9);
  __Pyx_GIVEREF(__pyx_tuple__9);

  /* "nipy/labs/utils/routines.pyx":50
 * # This is faster than scipy.stats.scoreatpercentile due to partial
 * # sorting
 * def quantile(X, double ratio, int interp=False, int axis=0):             # <<<<<<<<<<<<<<
 *     """
 *     q = quantile(data, ratio, interp=False, axis=0).
 */
  __pyx_tuple__10 = PyTuple_Pack(9, __pyx_n_s_X, __pyx_n_s_ratio, __pyx_n_s_interp, __pyx_n_s_axis, __pyx_n_s_x, __pyx_n_s_y, __pyx_n_s_multi, __pyx_n_s_dims, __pyx_n_s_Y); if (unlikely(!__pyx_tuple__10)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__10);
  __Pyx_GIVEREF(__pyx_tuple__10);
  __pyx_codeobj__11 = (PyObject*)__Pyx_PyCode_New(4, 0, 9, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__10, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Users_mb312_dev_trees_nipy_nipy, __pyx_n_s_quantile, 50, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__11)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

  /* "nipy/labs/utils/routines.pyx":83
 * # due to the underlying algorithm that relies on
 * # partial sorting as opposed to full sorting.
 * def median(x, axis=0):             # <<<<<<<<<<<<<<
 *     """
 *     median(x, axis=0).
 */
  __pyx_tuple__12 = PyTuple_Pack(2, __pyx_n_s_x, __pyx_n_s_axis); if (unlikely(!__pyx_tuple__12)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 83; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__12);
  __Pyx_GIVEREF(__pyx_tuple__12);
  __pyx_codeobj__13 = (PyObject*)__Pyx_PyCode_New(2, 0, 2, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__12, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Users_mb312_dev_trees_nipy_nipy, __pyx_n_s_median, 83, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__13)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 83; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

  /* "nipy/labs/utils/routines.pyx":91
 * 
 * 
 * def mahalanobis(X, VX):             # <<<<<<<<<<<<<<
 *     """
 *     d2 = mahalanobis(X, VX).
 */
  __pyx_tuple__14 = PyTuple_Pack(16, __pyx_n_s_X, __pyx_n_s_VX, __pyx_n_s_x, __pyx_n_s_vx, __pyx_n_s_x_tmp, __pyx_n_s_vx_tmp, __pyx_n_s_d2, __pyx_n_s_Sx, __pyx_n_s_Sx_tmp, __pyx_n_s_multi, __pyx_n_s_axis, __pyx_n_s_n, __pyx_n_s_dims, __pyx_n_s_dim, __pyx_n_s_D2, __pyx_n_s_VX_flat); if (unlikely(!__pyx_tuple__14)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__14);
  __Pyx_GIVEREF(__pyx_tuple__14);
  __pyx_codeobj__15 = (PyObject*)__Pyx_PyCode_New(2, 0, 16, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__14, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Users_mb312_dev_trees_nipy_nipy, __pyx_n_s_mahalanobis, 91, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__15)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

  /* "nipy/labs/utils/routines.pyx":149
 * 
 * 
 * def svd(X):             # <<<<<<<<<<<<<<
 *     """ Singular value decomposition of array `X`
 * 
 */
  __pyx_tuple__16 = PyTuple_Pack(23, __pyx_n_s_X, __pyx_n_s_axis, __pyx_n_s_m, __pyx_n_s_n, __pyx_n_s_dmin, __pyx_n_s_dmax, __pyx_n_s_lwork, __pyx_n_s_liwork, __pyx_n_s_info, __pyx_n_s_work, __pyx_n_s_x_flat, __pyx_n_s_x_flat_tmp, __pyx_n_s_s, __pyx_n_s_s_tmp, __pyx_n_s_x, __pyx_n_s_iwork, __pyx_n_s_Aux, __pyx_n_s_U, __pyx_n_s_Vt, __pyx_n_s_multi, __pyx_n_s_endims, __pyx_n_s_S, __pyx_n_s_X_flat); if (unlikely(!__pyx_tuple__16)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 149; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__16);
  __Pyx_GIVEREF(__pyx_tuple__16);
  __pyx_codeobj__17 = (PyObject*)__Pyx_PyCode_New(1, 0, 23, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__16, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Users_mb312_dev_trees_nipy_nipy, __pyx_n_s_svd, 149, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__17)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 149; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

  /* "nipy/labs/utils/routines.pyx":233
 * 
 * 
 * def permutations(unsigned int n, unsigned int m=1, unsigned long magic=0):             # <<<<<<<<<<<<<<
 *     """
 *     P = permutations(n, m=1, magic=0).
 */
  __pyx_tuple__18 = PyTuple_Pack(8, __pyx_n_s_n, __pyx_n_s_m, __pyx_n_s_magic, __pyx_n_s_p, __pyx_n_s_pi, __pyx_n_s_pi_view, __pyx_n_s_i, __pyx_n_s_P); if (unlikely(!__pyx_tuple__18)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 233; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__18);
  __Pyx_GIVEREF(__pyx_tuple__18);
  __pyx_codeobj__19 = (PyObject*)__Pyx_PyCode_New(3, 0, 8, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__18, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Users_mb312_dev_trees_nipy_nipy, __pyx_n_s_permutations, 233, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__19)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 233; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

  /* "nipy/labs/utils/routines.pyx":253
 * 
 * 
 * def combinations(unsigned int k, unsigned int n, unsigned int m=1, unsigned long magic=0):             # <<<<<<<<<<<<<<
 *     """
 *     P = combinations(k, n, m=1, magic=0).
 */
  __pyx_tuple__20 = PyTuple_Pack(9, __pyx_n_s_k, __pyx_n_s_n, __pyx_n_s_m, __pyx_n_s_magic, __pyx_n_s_p, __pyx_n_s_pi, __pyx_n_s_pi_view, __pyx_n_s_i, __pyx_n_s_C); if (unlikely(!__pyx_tuple__20)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 253; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__20);
  __Pyx_GIVEREF(__pyx_tuple__20);
  __pyx_codeobj__21 = (PyObject*)__Pyx_PyCode_New(4, 0, 9, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__20, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Users_mb312_dev_trees_nipy_nipy, __pyx_n_s_combinations, 253, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__21)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 253; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

  /* "nipy/labs/utils/routines.pyx":273
 * 
 * 
 * def gamln(double x):             # <<<<<<<<<<<<<<
 *     """ Python bindings to log gamma. Do not use, this is there only for
 *         testing. Use scipy.special.gammaln.
 */
  __pyx_tuple__22 = PyTuple_Pack(3, __pyx_n_s_x, __pyx_n_s_x, __pyx_n_s_y); if (unlikely(!__pyx_tuple__22)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 273; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__22);
  __Pyx_GIVEREF(__pyx_tuple__22);
  __pyx_codeobj__23 = (PyObject*)__Pyx_PyCode_New(1, 0, 3, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__22, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Users_mb312_dev_trees_nipy_nipy, __pyx_n_s_gamln, 273, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__23)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 273; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

  /* "nipy/labs/utils/routines.pyx":282
 * 
 * 
 * def psi(double x):             # <<<<<<<<<<<<<<
 *     """ Python bindings to psi (d gamln(x)/dx. Do not use, this is there only
 *         for testing. Use scipy.special.psi.
 */
  __pyx_tuple__24 = PyTuple_Pack(3, __pyx_n_s_x, __pyx_n_s_x, __pyx_n_s_y); if (unlikely(!__pyx_tuple__24)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 282; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__24);
  __Pyx_GIVEREF(__pyx_tuple__24);
  __pyx_codeobj__25 = (PyObject*)__Pyx_PyCode_New(1, 0, 3, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__24, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Users_mb312_dev_trees_nipy_nipy, __pyx_n_s_psi, 282, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__25)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 282; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_RefNannyFinishContext();
  return 0;
  __pyx_L1_error:;
  __Pyx_RefNannyFinishContext();
  return -1;
}

static int __Pyx_InitGlobals(void) {
  if (__Pyx_InitStrings(__pyx_string_tab) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
  __pyx_float_0_5 = PyFloat_FromDouble(0.5); if (unlikely(!__pyx_float_0_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_int_0 = PyInt_FromLong(0); if (unlikely(!__pyx_int_0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_int_1 = PyInt_FromLong(1); if (unlikely(!__pyx_int_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_int_2 = PyInt_FromLong(2); if (unlikely(!__pyx_int_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  return 0;
  __pyx_L1_error:;
  return -1;
}

#if PY_MAJOR_VERSION < 3
PyMODINIT_FUNC initroutines(void); /*proto*/
PyMODINIT_FUNC initroutines(void)
#else
PyMODINIT_FUNC PyInit_routines(void); /*proto*/
PyMODINIT_FUNC PyInit_routines(void)
#endif
{
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  #if CYTHON_REFNANNY
  __Pyx_RefNanny = __Pyx_RefNannyImportAPI("refnanny");
  if (!__Pyx_RefNanny) {
      PyErr_Clear();
      __Pyx_RefNanny = __Pyx_RefNannyImportAPI("Cython.Runtime.refnanny");
      if (!__Pyx_RefNanny)
          Py_FatalError("failed to import 'refnanny' module");
  }
  #endif
  __Pyx_RefNannySetupContext("PyMODINIT_FUNC PyInit_routines(void)", 0);
  if ( __Pyx_check_binary_version() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_empty_tuple = PyTuple_New(0); if (unlikely(!__pyx_empty_tuple)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_empty_bytes = PyBytes_FromStringAndSize("", 0); if (unlikely(!__pyx_empty_bytes)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #ifdef __Pyx_CyFunction_USED
  if (__Pyx_CyFunction_init() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #endif
  #ifdef __Pyx_FusedFunction_USED
  if (__pyx_FusedFunction_init() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #endif
  #ifdef __Pyx_Generator_USED
  if (__pyx_Generator_init() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #endif
  /*--- Library function declarations ---*/
  /*--- Threads initialization code ---*/
  #if defined(__PYX_FORCE_INIT_THREADS) && __PYX_FORCE_INIT_THREADS
  #ifdef WITH_THREAD /* Python build with threading support? */
  PyEval_InitThreads();
  #endif
  #endif
  /*--- Module creation code ---*/
  #if PY_MAJOR_VERSION < 3
  __pyx_m = Py_InitModule4("routines", __pyx_methods, __pyx_k_Miscellaneous_fff_routines_Auth, 0, PYTHON_API_VERSION); Py_XINCREF(__pyx_m);
  #else
  __pyx_m = PyModule_Create(&__pyx_moduledef);
  #endif
  if (unlikely(!__pyx_m)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_d = PyModule_GetDict(__pyx_m); if (unlikely(!__pyx_d)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  Py_INCREF(__pyx_d);
  __pyx_b = PyImport_AddModule(__Pyx_BUILTIN_MODULE_NAME); if (unlikely(!__pyx_b)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #if CYTHON_COMPILING_IN_PYPY
  Py_INCREF(__pyx_b);
  #endif
  if (PyObject_SetAttrString(__pyx_m, "__builtins__", __pyx_b) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
  /*--- Initialize various global constants etc. ---*/
  if (unlikely(__Pyx_InitGlobals() < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #if PY_MAJOR_VERSION < 3 && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT)
  if (__Pyx_init_sys_getdefaultencoding_params() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #endif
  if (__pyx_module_is_main_nipy__labs__utils__routines) {
    if (PyObject_SetAttrString(__pyx_m, "__name__", __pyx_n_s_main) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
  }
  #if PY_MAJOR_VERSION >= 3
  {
    PyObject *modules = PyImport_GetModuleDict(); if (unlikely(!modules)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    if (!PyDict_GetItemString(modules, "nipy.labs.utils.routines")) {
      if (unlikely(PyDict_SetItemString(modules, "nipy.labs.utils.routines", __pyx_m) < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
  }
  #endif
  /*--- Builtin init code ---*/
  if (unlikely(__Pyx_InitCachedBuiltins() < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  /*--- Constants init code ---*/
  if (unlikely(__Pyx_InitCachedConstants() < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  /*--- Global init code ---*/
  /*--- Variable export code ---*/
  /*--- Function export code ---*/
  /*--- Type init code ---*/
  /*--- Type import code ---*/
  __pyx_ptype_7cpython_4type_type = __Pyx_ImportType(__Pyx_BUILTIN_MODULE_NAME, "type", 
  #if CYTHON_COMPILING_IN_PYPY
  sizeof(PyTypeObject),
  #else
  sizeof(PyHeapTypeObject),
  #endif
  0); if (unlikely(!__pyx_ptype_7cpython_4type_type)) {__pyx_filename = __pyx_f[2]; __pyx_lineno = 9; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_5numpy_dtype = __Pyx_ImportType("numpy", "dtype", sizeof(PyArray_Descr), 0); if (unlikely(!__pyx_ptype_5numpy_dtype)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 155; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_5numpy_flatiter = __Pyx_ImportType("numpy", "flatiter", sizeof(PyArrayIterObject), 0); if (unlikely(!__pyx_ptype_5numpy_flatiter)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 168; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_5numpy_broadcast = __Pyx_ImportType("numpy", "broadcast", sizeof(PyArrayMultiIterObject), 0); if (unlikely(!__pyx_ptype_5numpy_broadcast)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 172; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_5numpy_ndarray = __Pyx_ImportType("numpy", "ndarray", sizeof(PyArrayObject), 0); if (unlikely(!__pyx_ptype_5numpy_ndarray)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 181; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_5numpy_ufunc = __Pyx_ImportType("numpy", "ufunc", sizeof(PyUFuncObject), 0); if (unlikely(!__pyx_ptype_5numpy_ufunc)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 864; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  /*--- Variable import code ---*/
  /*--- Function import code ---*/
  /*--- Execution code ---*/

  /* "nipy/labs/utils/routines.pyx":9
 * """
 * 
 * __version__ = '0.1'             # <<<<<<<<<<<<<<
 * 
 * # Includes
 */
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_version, __pyx_kp_s_0_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 9; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

  /* "nipy/labs/utils/routines.pyx":14
 * from fff cimport *
 * cimport numpy as cnp
 * from warnings import warn             # <<<<<<<<<<<<<<
 * 
 * warn('Module nipy.labs.utils.routines deprecated, will be removed',
 */
  __pyx_t_1 = PyList_New(1); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 14; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_n_s_warn);
  PyList_SET_ITEM(__pyx_t_1, 0, __pyx_n_s_warn);
  __Pyx_GIVEREF(__pyx_n_s_warn);
  __pyx_t_2 = __Pyx_Import(__pyx_n_s_warnings, __pyx_t_1, -1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 14; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_ImportFrom(__pyx_t_2, __pyx_n_s_warn); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 14; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_warn, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 14; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "nipy/labs/utils/routines.pyx":16
 * from warnings import warn
 * 
 * warn('Module nipy.labs.utils.routines deprecated, will be removed',             # <<<<<<<<<<<<<<
 *      FutureWarning,
 *      stacklevel=2)
 */
  __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s_warn); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 16; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);

  /* "nipy/labs/utils/routines.pyx":17
 * 
 * warn('Module nipy.labs.utils.routines deprecated, will be removed',
 *      FutureWarning,             # <<<<<<<<<<<<<<
 *      stacklevel=2)
 * 
 */
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 16; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_kp_s_Module_nipy_labs_utils_routines);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_kp_s_Module_nipy_labs_utils_routines);
  __Pyx_GIVEREF(__pyx_kp_s_Module_nipy_labs_utils_routines);
  __Pyx_INCREF(__pyx_builtin_FutureWarning);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_builtin_FutureWarning);
  __Pyx_GIVEREF(__pyx_builtin_FutureWarning);

  /* "nipy/labs/utils/routines.pyx":16
 * from warnings import warn
 * 
 * warn('Module nipy.labs.utils.routines deprecated, will be removed',             # <<<<<<<<<<<<<<
 *      FutureWarning,
 *      stacklevel=2)
 */
  __pyx_t_3 = PyDict_New(); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 16; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_stacklevel, __pyx_int_2) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 16; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 16; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "nipy/labs/utils/routines.pyx":44
 * 
 * # Initialize numpy
 * fffpy_import_array()             # <<<<<<<<<<<<<<
 * cnp.import_array()
 * import numpy as np
 */
  fffpy_import_array();

  /* "nipy/labs/utils/routines.pyx":45
 * # Initialize numpy
 * fffpy_import_array()
 * cnp.import_array()             # <<<<<<<<<<<<<<
 * import numpy as np
 * 
 */
  import_array();

  /* "nipy/labs/utils/routines.pyx":46
 * fffpy_import_array()
 * cnp.import_array()
 * import numpy as np             # <<<<<<<<<<<<<<
 * 
 * # This is faster than scipy.stats.scoreatpercentile due to partial
 */
  __pyx_t_4 = __Pyx_Import(__pyx_n_s_numpy, 0, -1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 46; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_np, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 46; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "nipy/labs/utils/routines.pyx":50
 * # This is faster than scipy.stats.scoreatpercentile due to partial
 * # sorting
 * def quantile(X, double ratio, int interp=False, int axis=0):             # <<<<<<<<<<<<<<
 *     """
 *     q = quantile(data, ratio, interp=False, axis=0).
 */
  __pyx_t_4 = PyCFunction_NewEx(&__pyx_mdef_4nipy_4labs_5utils_8routines_1quantile, NULL, __pyx_n_s_nipy_labs_utils_routines); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_quantile, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "nipy/labs/utils/routines.pyx":83
 * # due to the underlying algorithm that relies on
 * # partial sorting as opposed to full sorting.
 * def median(x, axis=0):             # <<<<<<<<<<<<<<
 *     """
 *     median(x, axis=0).
 */
  __pyx_t_4 = PyCFunction_NewEx(&__pyx_mdef_4nipy_4labs_5utils_8routines_3median, NULL, __pyx_n_s_nipy_labs_utils_routines); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 83; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_median, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 83; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "nipy/labs/utils/routines.pyx":91
 * 
 * 
 * def mahalanobis(X, VX):             # <<<<<<<<<<<<<<
 *     """
 *     d2 = mahalanobis(X, VX).
 */
  __pyx_t_4 = PyCFunction_NewEx(&__pyx_mdef_4nipy_4labs_5utils_8routines_5mahalanobis, NULL, __pyx_n_s_nipy_labs_utils_routines); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_mahalanobis, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "nipy/labs/utils/routines.pyx":149
 * 
 * 
 * def svd(X):             # <<<<<<<<<<<<<<
 *     """ Singular value decomposition of array `X`
 * 
 */
  __pyx_t_4 = PyCFunction_NewEx(&__pyx_mdef_4nipy_4labs_5utils_8routines_7svd, NULL, __pyx_n_s_nipy_labs_utils_routines); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 149; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_svd, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 149; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "nipy/labs/utils/routines.pyx":233
 * 
 * 
 * def permutations(unsigned int n, unsigned int m=1, unsigned long magic=0):             # <<<<<<<<<<<<<<
 *     """
 *     P = permutations(n, m=1, magic=0).
 */
  __pyx_t_4 = PyCFunction_NewEx(&__pyx_mdef_4nipy_4labs_5utils_8routines_9permutations, NULL, __pyx_n_s_nipy_labs_utils_routines); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 233; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_permutations, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 233; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "nipy/labs/utils/routines.pyx":253
 * 
 * 
 * def combinations(unsigned int k, unsigned int n, unsigned int m=1, unsigned long magic=0):             # <<<<<<<<<<<<<<
 *     """
 *     P = combinations(k, n, m=1, magic=0).
 */
  __pyx_t_4 = PyCFunction_NewEx(&__pyx_mdef_4nipy_4labs_5utils_8routines_11combinations, NULL, __pyx_n_s_nipy_labs_utils_routines); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 253; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_combinations, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 253; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "nipy/labs/utils/routines.pyx":273
 * 
 * 
 * def gamln(double x):             # <<<<<<<<<<<<<<
 *     """ Python bindings to log gamma. Do not use, this is there only for
 *         testing. Use scipy.special.gammaln.
 */
  __pyx_t_4 = PyCFunction_NewEx(&__pyx_mdef_4nipy_4labs_5utils_8routines_13gamln, NULL, __pyx_n_s_nipy_labs_utils_routines); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 273; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_gamln, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 273; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "nipy/labs/utils/routines.pyx":282
 * 
 * 
 * def psi(double x):             # <<<<<<<<<<<<<<
 *     """ Python bindings to psi (d gamln(x)/dx. Do not use, this is there only
 *         for testing. Use scipy.special.psi.
 */
  __pyx_t_4 = PyCFunction_NewEx(&__pyx_mdef_4nipy_4labs_5utils_8routines_15psi, NULL, __pyx_n_s_nipy_labs_utils_routines); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 282; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_psi, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 282; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "nipy/labs/utils/routines.pyx":1
 * # -*- Mode: Python -*-  Not really, but the syntax is close enough             # <<<<<<<<<<<<<<
 * 
 * """
 */
  __pyx_t_4 = PyDict_New(); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_test, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "../../../../Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":979
 *      arr.base = baseptr
 * 
 * cdef inline object get_array_base(ndarray arr):             # <<<<<<<<<<<<<<
 *     if arr.base is NULL:
 *         return None
 */

  /*--- Wrapped vars code ---*/

  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  if (__pyx_m) {
    if (__pyx_d) {
      __Pyx_AddTraceback("init nipy.labs.utils.routines", __pyx_clineno, __pyx_lineno, __pyx_filename);
    }
    Py_DECREF(__pyx_m); __pyx_m = 0;
  } else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_ImportError, "init nipy.labs.utils.routines");
  }
  __pyx_L0:;
  __Pyx_RefNannyFinishContext();
  #if PY_MAJOR_VERSION < 3
  return;
  #else
  return __pyx_m;
  #endif
}

/* --- Runtime support code --- */
#if CYTHON_REFNANNY
static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
    PyObject *m = NULL, *p = NULL;
    void *r = NULL;
    m = PyImport_ImportModule((char *)modname);
    if (!m) goto end;
    p = PyObject_GetAttrString(m, (char *)"RefNannyAPI");
    if (!p) goto end;
    r = PyLong_AsVoidPtr(p);
end:
    Py_XDECREF(p);
    Py_XDECREF(m);
    return (__Pyx_RefNannyAPIStruct *)r;
}
#endif

static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
    if (unlikely(!result)) {
        PyErr_Format(PyExc_NameError,
#if PY_MAJOR_VERSION >= 3
            "name '%U' is not defined", name);
#else
            "name '%.200s' is not defined", PyString_AS_STRING(name));
#endif
    }
    return result;
}

static void __Pyx_RaiseArgtupleInvalid(
    const char* func_name,
    int exact,
    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        #if PY_MAJOR_VERSION >= 3
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
        #else
        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AsString(kw_name));
        #endif
}

static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    while (PyDict_Next(kwds, &pos, &key, &value)) {
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
            continue;
        }
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (**name == key) ? 0 :
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key);
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

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, int wraparound, int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    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))
                        PyErr_Clear();
                    else
                        return -1;
                }
            }
            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);
}

static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON
    result = PyDict_GetItem(__pyx_d, name);
    if (likely(result)) {
        Py_INCREF(result);
    } else {
#else
    result = PyObject_GetItem(__pyx_d, name);
    if (!result) {
        PyErr_Clear();
#endif
        result = __Pyx_GetBuiltinName(name);
    }
    return result;
}

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = func->ob_type->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = PyCFunction_GET_FUNCTION(func);
    self = PyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#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_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject* args = PyTuple_Pack(1, arg);
    return (likely(args)) ? __Pyx_PyObject_Call(func, args, NULL) : NULL;
}
#endif

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,
                                                              int wraparound, int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (wraparound & unlikely(i < 0)) i += PyList_GET_SIZE(o);
    if ((!boundscheck) || likely((0 <= i) & (i < PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, 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,
                                                              int wraparound, int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (wraparound & unlikely(i < 0)) i += PyTuple_GET_SIZE(o);
    if ((!boundscheck) || likely((0 <= i) & (i < PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, 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, int wraparound, int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    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))
                        PyErr_Clear();
                    else
                        return NULL;
                }
            }
            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));
}

static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(
        PyObject* obj, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (PyErr_ExceptionMatches(PyExc_OverflowError))
                    PyErr_Clear();
                else
                    goto bad;
            }
        }
        return ms->sq_slice(obj, cstart, cstop);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_COMPILING_IN_CPYTHON
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object is unsliceable", Py_TYPE(obj)->tp_name);
bad:
    return NULL;
}

static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();
    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);
#else
    PyErr_Restore(type, value, tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(type, value, tb);
#endif
}

#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    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_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) {
                if (PyObject_IsSubclass(instance_class, type)) {
                    type = instance_class;
                } else {
                    instance_class = NULL;
                }
            }
        }
        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

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);
}

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");
}

static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}

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;
}

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;
}

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) / 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);
}

#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;
    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;
    py_frame->f_lineno = py_line;
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

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;
}

#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)       \
    {                                                                     \
        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 (is_unsigned && unlikely(value < zero))                \
                    goto raise_neg_overflow;                              \
                else                                                      \
                    goto raise_overflow;                                  \
            }                                                             \
        }                                                                 \
        return (target_type) value;                                       \
    }

#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
 #endif
#endif

static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (int) -1, const_zero = 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_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            switch (Py_SIZE(x)) {
                case  0: return 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, ((PyLongObject*)x)->ob_digit[0]);
            }
 #endif
#endif
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
            if (sizeof(int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT(int, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(int) <= sizeof(unsigned long long)) {
                __PYX_VERIFY_RETURN_INT(int, unsigned long long, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            switch (Py_SIZE(x)) {
                case  0: return 0;
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +(((PyLongObject*)x)->ob_digit[0]));
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]);
            }
 #endif
#endif
            if (sizeof(int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT(int, long, PyLong_AsLong(x))
            } else if (sizeof(int) <= sizeof(long long)) {
                __PYX_VERIFY_RETURN_INT(int, long long, PyLong_AsLongLong(x))
            }
        }
        {
#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_Int(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_Int(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;
}

static CYTHON_INLINE unsigned int __Pyx_PyInt_As_unsigned_int(PyObject *x) {
    const unsigned int neg_one = (unsigned int) -1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(unsigned int) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(unsigned int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (unsigned int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            switch (Py_SIZE(x)) {
                case  0: return 0;
                case  1: __PYX_VERIFY_RETURN_INT(unsigned int, digit, ((PyLongObject*)x)->ob_digit[0]);
            }
 #endif
#endif
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
            if (sizeof(unsigned int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(unsigned int) <= sizeof(unsigned long long)) {
                __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long long, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            switch (Py_SIZE(x)) {
                case  0: return 0;
                case  1: __PYX_VERIFY_RETURN_INT(unsigned int,  digit, +(((PyLongObject*)x)->ob_digit[0]));
                case -1: __PYX_VERIFY_RETURN_INT(unsigned int, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]);
            }
 #endif
#endif
            if (sizeof(unsigned int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT(unsigned int, long, PyLong_AsLong(x))
            } else if (sizeof(unsigned int) <= sizeof(long long)) {
                __PYX_VERIFY_RETURN_INT(unsigned int, long long, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            unsigned int val;
            PyObject *v = __Pyx_PyNumber_Int(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 (unsigned int) -1;
        }
    } else {
        unsigned int val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned int) -1;
        val = __Pyx_PyInt_As_unsigned_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to unsigned int");
    return (unsigned int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to unsigned int");
    return (unsigned int) -1;
}

static CYTHON_INLINE unsigned long __Pyx_PyInt_As_unsigned_long(PyObject *x) {
    const unsigned long neg_one = (unsigned long) -1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(unsigned long) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(unsigned long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (unsigned long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            switch (Py_SIZE(x)) {
                case  0: return 0;
                case  1: __PYX_VERIFY_RETURN_INT(unsigned long, digit, ((PyLongObject*)x)->ob_digit[0]);
            }
 #endif
#endif
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
            if (sizeof(unsigned long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT(unsigned long, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(unsigned long) <= sizeof(unsigned long long)) {
                __PYX_VERIFY_RETURN_INT(unsigned long, unsigned long long, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            switch (Py_SIZE(x)) {
                case  0: return 0;
                case  1: __PYX_VERIFY_RETURN_INT(unsigned long,  digit, +(((PyLongObject*)x)->ob_digit[0]));
                case -1: __PYX_VERIFY_RETURN_INT(unsigned long, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]);
            }
 #endif
#endif
            if (sizeof(unsigned long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT(unsigned long, long, PyLong_AsLong(x))
            } else if (sizeof(unsigned long) <= sizeof(long long)) {
                __PYX_VERIFY_RETURN_INT(unsigned long, long long, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            unsigned long val;
            PyObject *v = __Pyx_PyNumber_Int(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 (unsigned long) -1;
        }
    } else {
        unsigned long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned long) -1;
        val = __Pyx_PyInt_As_unsigned_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to unsigned long");
    return (unsigned long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to unsigned long");
    return (unsigned long) -1;
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (int) -1, const_zero = 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);
        } else if (sizeof(int) <= sizeof(unsigned long long)) {
            return PyLong_FromUnsignedLongLong((unsigned long long) value);
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(long long)) {
            return PyLong_FromLongLong((long long) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (long) -1, const_zero = 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);
        } else if (sizeof(long) <= sizeof(unsigned long long)) {
            return PyLong_FromUnsignedLongLong((unsigned long long) value);
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(long long)) {
            return PyLong_FromLongLong((long long) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

#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

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__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_sumf(__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_difff(__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_prodf(__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;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        float denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__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_zerof(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__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_absf(__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_powf(__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_prodf(a, a);
                        return __Pyx_c_prodf(a, a);
                    case 3:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, a);
                    case 4:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_absf(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

#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

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq(__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(__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(__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(__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;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        double denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__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(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__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(__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(__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(a, a);
                        return __Pyx_c_prod(a, a);
                    case 3:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, a);
                    case 4:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_abs(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

static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (long) -1, const_zero = 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_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            switch (Py_SIZE(x)) {
                case  0: return 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, ((PyLongObject*)x)->ob_digit[0]);
            }
 #endif
#endif
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
            if (sizeof(long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT(long, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(long) <= sizeof(unsigned long long)) {
                __PYX_VERIFY_RETURN_INT(long, unsigned long long, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            switch (Py_SIZE(x)) {
                case  0: return 0;
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +(((PyLongObject*)x)->ob_digit[0]));
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]);
            }
 #endif
#endif
            if (sizeof(long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT(long, long, PyLong_AsLong(x))
            } else if (sizeof(long) <= sizeof(long long)) {
                __PYX_VERIFY_RETURN_INT(long, long long, PyLong_AsLongLong(x))
            }
        }
        {
#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_Int(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_Int(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;
}

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;
}

#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

#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",
            module_name, class_name);
        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",
            module_name, class_name);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

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;
        ++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 char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __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
    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_Int(PyObject* x) {
  PyNumberMethods *m;
  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 Py_INCREF(x), x;
  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
  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)))
      return PyInt_AS_LONG(b);
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
     #if CYTHON_USE_PYLONG_INTERNALS
       switch (Py_SIZE(b)) {
       case -1: return -(sdigit)((PyLongObject*)b)->ob_digit[0];
       case  0: return 0;
       case  1: return ((PyLongObject*)b)->ob_digit[0];
       }
     #endif
    #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 */
