text: /* Generated by Cython 0.22 */
  
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    #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
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  #if PY_MAJOR_VERSION >= 3
    #define PyBoolObject                 PyLongObject
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    #ifndef PyUnicode_InternFromString
      #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
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    typedef long Py_hash_t;
    #define __Pyx_PyInt_FromHash_t PyInt_FromLong
    #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
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    #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
    #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
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    #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : PyInstanceMethod_New(func))
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  #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
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  #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)
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    #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
    #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
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  #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__theano__scan_module__scan_perform
  #define __PYX_HAVE_API__theano__scan_module__scan_perform
  #include "string.h"
  #include "stdio.h"
  #include "stdlib.h"
  #include "numpy/arrayobject.h"
  #include "numpy/ufuncobject.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[] = {
    "theano/scan_module/scan_perform.pyx",
    "__init__.pxd",
    "type.pxd",
  };
  #define IS_UNSIGNED(type) (((type) -1) > 0)
  struct __Pyx_StructField_;
  #define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
  typedef struct {
    const char* name;
    struct __Pyx_StructField_* fields;
    size_t size;
    size_t arraysize[8];
    int ndim;
    char typegroup;
    char is_unsigned;
    int flags;
  } __Pyx_TypeInfo;
  typedef struct __Pyx_StructField_ {
    __Pyx_TypeInfo* type;
    const char* name;
    size_t offset;
  } __Pyx_StructField;
  typedef struct {
    __Pyx_StructField* field;
    size_t parent_offset;
  } __Pyx_BufFmt_StackElem;
  typedef struct {
    __Pyx_StructField root;
    __Pyx_BufFmt_StackElem* head;
    size_t fmt_offset;
    size_t new_count, enc_count;
    size_t struct_alignment;
    int is_complex;
    char enc_type;
    char new_packmode;
    char enc_packmode;
    char is_valid_array;
  } __Pyx_BufFmt_Context;
  
  
  /* "../../../../../../../../Tmp/lisa/os_v4/anaconda/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;
  
  /* "../../../../../../../../Tmp/lisa/os_v4/anaconda/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;
  
  /* "../../../../../../../../Tmp/lisa/os_v4/anaconda/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
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   *
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   * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uint32     uint32_t
   * ctypedef npy_uint64     uint64_t
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  /* "../../../../../../../../Tmp/lisa/os_v4/anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":735
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   * ctypedef npy_uint16     uint16_t
   * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
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   * ctypedef npy_uint16     uint16_t
   * ctypedef npy_uint32     uint32_t
   * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
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   * #ctypedef npy_uint128    uint128_t
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  /* "../../../../../../../../Tmp/lisa/os_v4/anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":740
   * #ctypedef npy_uint128    uint128_t
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   * ctypedef npy_float64    float64_t
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  /* "../../../../../../../../Tmp/lisa/os_v4/anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":750
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   * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
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  /* Module declarations from 'libc.stdlib' */
  
  /* Module declarations from 'numpy' */
  
  /* Module declarations from 'numpy' */
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  /* Module declarations from 'theano.scan_module.scan_perform' */
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  /* Implementation of 'theano.scan_module.scan_perform' */
  static PyObject *__pyx_builtin_IndexError;
  static PyObject *__pyx_builtin_NotImplementedError;
  static PyObject *__pyx_builtin_range;
  static PyObject *__pyx_builtin_ValueError;
  static PyObject *__pyx_builtin_xrange;
  static PyObject *__pyx_builtin_Exception;
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  static PyObject *__pyx_pf_6theano_11scan_module_12scan_perform_2perform(CYTHON_UNUSED PyObject *__pyx_self, unsigned int __pyx_v_n_shared_outs, unsigned int __pyx_v_n_mit_mot_outs, unsigned int __pyx_v_n_seqs, unsigned int __pyx_v_n_mit_mot, unsigned int __pyx_v_n_mit_sot, unsigned int __pyx_v_n_sit_sot, unsigned int __pyx_v_n_nit_sot, int __pyx_v_n_steps, int __pyx_v_as_while, PyArrayObject *__pyx_v_mintaps, PyArrayObject *__pyx_v_tap_array, PyArrayObject *__pyx_v_tap_array_len, PyArrayObject *__pyx_v_vector_seqs, PyArrayObject *__pyx_v_vector_outs, CYTHON_UNUSED PyArrayObject *__pyx_v_mit_mot_out_slices, CYTHON_UNUSED PyArrayObject *__pyx_v_mit_mot_out_nslices, PyArrayObject *__pyx_v_mitmots_preallocated, PyArrayObject *__pyx_v_inps_is_tensor, PyArrayObject *__pyx_v_outs_is_tensor, PyObject *__pyx_v_fn, PyObject *__pyx_v_fnct, PyArrayObject *__pyx_v_destroy_map, PyObject *__pyx_v_args, PyObject *__pyx_v_outs, PyObject *__pyx_v_self, PyObject *__pyx_v_node); /* proto */
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  static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
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  static char __pyx_k_L[] = "L";
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  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_j[] = "j";
  static char __pyx_k_k[] = "k";
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  static char __pyx_k_Zg[] = "Zg";
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  static char __pyx_k_end[] = "end";
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  static char __pyx_k_i_s[] = "i_s";
  static char __pyx_k_idx[] = "_idx";
  static char __pyx_k_inp[] = "inp";
  static char __pyx_k_kdx[] = "kdx";
  static char __pyx_k_o_s[] = "o_s";
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  static char __pyx_k_pos[] = "pos";
  static char __pyx_k_sh0[] = "sh0";
  static char __pyx_k_tap[] = "tap";
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  static char __pyx_k_var[] = "var";
  static char __pyx_k_zip[] = "zip";
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  static char __pyx_k_cond[] = "cond";
  static char __pyx_k_copy[] = "copy";
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  static char __pyx_k_fnct[] = "fnct";
  static char __pyx_k_jout[] = "jout";
  static char __pyx_k_link[] = "link";
  static char __pyx_k_main[] = "__main__";
  static char __pyx_k_node[] = "node";
  static char __pyx_k_outs[] = "outs";
  static char __pyx_k_self[] = "self";
  static char __pyx_k_t_fn[] = "t_fn";
  static char __pyx_k_test[] = "__test__";
  static char __pyx_k_time[] = "time";
  static char __pyx_k_type[] = "type";
  static char __pyx_k_begin[] = "begin";
  static char __pyx_k_dt_fn[] = "dt_fn";
  static char __pyx_k_dtype[] = "dtype";
  static char __pyx_k_idx_2[] = "idx";
  static char __pyx_k_index[] = "index";
  static char __pyx_k_maker[] = "maker";
  static char __pyx_k_nodes[] = "nodes";
  static char __pyx_k_numpy[] = "numpy";
  static char __pyx_k_range[] = "range";
  static char __pyx_k_shape[] = "shape";
  static char __pyx_k_t0_fn[] = "t0_fn";
  static char __pyx_k_import[] = "__import__";
  static char __pyx_k_lenpos[] = "lenpos";
  static char __pyx_k_n_outs[] = "n_outs";
  static char __pyx_k_n_seqs[] = "n_seqs";
  static char __pyx_k_offset[] = "offset";
  static char __pyx_k_t_call[] = "t_call";
  static char __pyx_k_theano[] = "theano";
  static char __pyx_k_thunks[] = "thunks";
  static char __pyx_k_update[] = "update";
  static char __pyx_k_xrange[] = "xrange";
  static char __pyx_k_authors[] = "__authors__";
  static char __pyx_k_contact[] = "__contact__";
  static char __pyx_k_gpudata[] = "gpudata";
  static char __pyx_k_inp_idx[] = "inp_idx";
  static char __pyx_k_mintaps[] = "mintaps";
  static char __pyx_k_n_steps[] = "n_steps";
  static char __pyx_k_nbsteps[] = "nbsteps";
  static char __pyx_k_new_var[] = "new_var";
  static char __pyx_k_old_var[] = "old_var";
  static char __pyx_k_outputs[] = "outputs";
  static char __pyx_k_perform[] = "perform";
  static char __pyx_k_profile[] = "profile";
  static char __pyx_k_reshape[] = "reshape";
  static char __pyx_k_storage[] = "storage";
  static char __pyx_k_t0_call[] = "t0_call";
  static char __pyx_k_a_offset[] = "a_offset";
  static char __pyx_k_as_while[] = "as_while";
  static char __pyx_k_o_offset[] = "o_offset";
  static char __pyx_k_old_data[] = "old_data";
  static char __pyx_k_Exception[] = "Exception";
  static char __pyx_k_call_time[] = "call_time";
  static char __pyx_k_callcount[] = "callcount";
  static char __pyx_k_copyright[] = "__copyright__";
  static char __pyx_k_n_mit_mot[] = "n_mit_mot";
  static char __pyx_k_n_mit_sot[] = "n_mit_sot";
  static char __pyx_k_n_nit_sot[] = "n_nit_sot";
  static char __pyx_k_n_sit_sot[] = "n_sit_sot";
  static char __pyx_k_same_data[] = "same_data";
  static char __pyx_k_tap_array[] = "tap_array";
  static char __pyx_k_IndexError[] = "IndexError";
  static char __pyx_k_ValueError[] = "ValueError";
  static char __pyx_k_offset_out[] = "offset_out";
  static char __pyx_k_other_args[] = "other_args";
  static char __pyx_k_destroy_map[] = "destroy_map";
  static char __pyx_k_get_version[] = "get_version";
  static char __pyx_k_store_steps[] = "store_steps";
  static char __pyx_k_value_zeros[] = "value_zeros";
  static char __pyx_k_vector_outs[] = "vector_outs";
  static char __pyx_k_vector_seqs[] = "vector_seqs";
  static char __pyx_k_RuntimeError[] = "RuntimeError";
  static char __pyx_k_nb_mitmot_in[] = "nb_mitmot_in";
  static char __pyx_k_vm_call_time[] = "vm_call_time";
  static char __pyx_k_input_storage[] = "input_storage";
  static char __pyx_k_n_shared_outs[] = "n_shared_outs";
  static char __pyx_k_output_reused[] = "output_reused";
  static char __pyx_k_raise_with_op[] = "raise_with_op";
  static char __pyx_k_tap_array_len[] = "tap_array_len";
  static char __pyx_k_Razvan_Pascanu[] = "Razvan Pascanu";
  static char __pyx_k_inps_is_tensor[] = "inps_is_tensor";
  static char __pyx_k_mitmot_out_idx[] = "mitmot_out_idx";
  static char __pyx_k_n_mit_mot_outs[] = "n_mit_mot_outs";
  static char __pyx_k_output_storage[] = "output_storage";
  static char __pyx_k_outs_is_tensor[] = "outs_is_tensor";
  static char __pyx_k_update_profile[] = "update_profile";
  static char __pyx_k_expanded_inputs[] = "expanded_inputs";
  static char __pyx_k_len_store_steps[] = "len_store_steps";
  static char __pyx_k_old_output_data[] = "old_output_data";
  static char __pyx_k_seqs_arg_offset[] = "seqs_arg_offset";
  static char __pyx_k_mitmot_inp_offset[] = "mitmot_inp_offset";
  static char __pyx_k_position_of_error[] = "position_of_error";
  static char __pyx_k_shared_arg_offset[] = "shared_arg_offset";
  static char __pyx_k_len_output_storage[] = "len_output_storage";
  static char __pyx_k_mit_mot_out_slices[] = "mit_mot_out_slices";
  static char __pyx_k_need_update_inputs[] = "need_update_inputs";
  static char __pyx_k_nit_sot_arg_offset[] = "nit_sot_arg_offset";
  static char __pyx_k_old_output_storage[] = "old_output_storage";
  static char __pyx_k_NotImplementedError[] = "NotImplementedError";
  static char __pyx_k_mit_mot_out_nslices[] = "mit_mot_out_nslices";
  static char __pyx_k_mitmots_preallocated[] = "mitmots_preallocated";
  static char __pyx_k_old_mitmot_input_data[] = "old_mitmot_input_data";
  static char __pyx_k_old_mitmot_input_storage[] = "old_mitmot_input_storage";
  static char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
  static char __pyx_k_c_2011_Universite_de_Montreal[] = "(c) 2011, Universite de Montreal";
  static char __pyx_k_Razvan_Pascanu_r_pascanu_gmail[] = "Razvan Pascanu <r.pascanu@gmail>";
  static char __pyx_k_This_code_implements_the_operat[] = "\n This code implements the operations that scan has to carry on when called\n as a stand alone function.\n\n IF anything this is the entire code that needs to be transported to C.\n\n Short description of how this code works:\n     Scan divides its inputs ( Op's inputs) into different classes of inputs\n     as follows:\n         i) sequences : inputs over which scan loops to get data. Nothing is\n         written into them ( they are readonly, loop over)\n\n         ii) mit_mot : multiple input taps multiple output taps arguments.\n         These are inputs over which scan loops and gets data but into which\n         scan also writes data. The shorthand mit_mot describes how scan\n         deal with them at each step : at each step take several slices as\n         input and produce sevaral slices as outputs\n\n         iii) mit_sot : multiple input taps single output tap arguments.\n         As before scan reads from these but also writes. At each step scan\n         uses several slices as input but produces only one as output\n\n         iv) sit_sot : single input tap single output tap arguments.\n         At each step use only the previous slice as input, produce only one\n         slice as output\n\n         v) nit_sot: no input tap single output tap arguments.\n         At each step don't use any previous values, only produce new onese\n\n         vi) shared_outs: arguments corresponding to shared variables with\n         updates.\n         At each step use its value as input, and afterwards replace it with\n         a new value.\n         vii) other_args: arguments that are passed to every call of the\n         inner function as they are ( no slicing is perfomed)\n\n    All these outputs are one after the other in the inputs list (named in\n    this code as args) in a given order ( namely the one described above\n    with little discrepencies depending if we are talking about the outputs\n    of the Scan op or the inputs of the Scan op Node, and if we are tal""king\n    about the inputs of the inner function of scan or of the scan op).\n\n    Because of this, all we need to be able to separate and tell arguments\n    apart is how many of which we have as well as how many taps and which\n    ones (where applicable). All this information is desribed (more or less)\n    by describing the arguments of this function)\n";
  static char __pyx_k_theano_scan_module_scan_perform[] = "theano.scan_module.scan_perform";
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            __Pyx_RaiseArgtupleInvalid("perform", 1, 26, 26, 20); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 68; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
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  typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
  #endif
  static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
    switch (ch) {
      case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
      case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
      case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
      case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
  #ifdef HAVE_LONG_LONG
      case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
  #endif
      case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
      case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
      case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
      case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
      default:
        __Pyx_BufFmt_RaiseUnexpectedChar(ch);
        return 0;
      }
  }
  /* These are for computing the padding at the end of the struct to align
     on the first member of the struct. This will probably the same as above,
     but we don't have any guarantees.
   */
  typedef struct { short x; char c; } __Pyx_pad_short;
  typedef struct { int x; char c; } __Pyx_pad_int;
  typedef struct { long x; char c; } __Pyx_pad_long;
  typedef struct { float x; char c; } __Pyx_pad_float;
  typedef struct { double x; char c; } __Pyx_pad_double;
  typedef struct { long double x; char c; } __Pyx_pad_longdouble;
  typedef struct { void *x; char c; } __Pyx_pad_void_p;
  #ifdef HAVE_LONG_LONG
  typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
  #endif
  static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
    switch (ch) {
      case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
      case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
      case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
      case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
  #ifdef HAVE_LONG_LONG
      case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
  #endif
      case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
      case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
      case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
      case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
      default:
        __Pyx_BufFmt_RaiseUnexpectedChar(ch);
        return 0;
      }
  }
  static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
    switch (ch) {
      case 'c':
          return 'H';
      case 'b': case 'h': case 'i':
      case 'l': case 'q': case 's': case 'p':
          return 'I';
      case 'B': case 'H': case 'I': case 'L': case 'Q':
          return 'U';
      case 'f': case 'd': case 'g':
          return (is_complex ? 'C' : 'R');
      case 'O':
          return 'O';
      case 'P':
          return 'P';
      default: {
        __Pyx_BufFmt_RaiseUnexpectedChar(ch);
        return 0;
      }
    }
  }
  static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
    if (ctx->head == NULL || ctx->head->field == &ctx->root) {
      const char* expected;
      const char* quote;
      if (ctx->head == NULL) {
        expected = "end";
        quote = "";
      } else {
        expected = ctx->head->field->type->name;
        quote = "'";
      }
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch, expected %s%s%s but got %s",
                   quote, expected, quote,
                   __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
    } else {
      __Pyx_StructField* field = ctx->head->field;
      __Pyx_StructField* parent = (ctx->head - 1)->field;
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                   field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                   parent->type->name, field->name);
    }
  }
  static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
    char group;
    size_t size, offset, arraysize = 1;
    if (ctx->enc_type == 0) return 0;
    if (ctx->head->field->type->arraysize[0]) {
      int i, ndim = 0;
      if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
          ctx->is_valid_array = ctx->head->field->type->ndim == 1;
          ndim = 1;
          if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
              PyErr_Format(PyExc_ValueError,
                           "Expected a dimension of size %zu, got %zu",
                           ctx->head->field->type->arraysize[0], ctx->enc_count);
              return -1;
          }
      }
      if (!ctx->is_valid_array) {
        PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                     ctx->head->field->type->ndim, ndim);
        return -1;
      }
      for (i = 0; i < ctx->head->field->type->ndim; i++) {
        arraysize *= ctx->head->field->type->arraysize[i];
      }
      ctx->is_valid_array = 0;
      ctx->enc_count = 1;
    }
    group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
    do {
      __Pyx_StructField* field = ctx->head->field;
      __Pyx_TypeInfo* type = field->type;
      if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
        size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
      } else {
        size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
      }
      if (ctx->enc_packmode == '@') {
        size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
        size_t align_mod_offset;
        if (align_at == 0) return -1;
        align_mod_offset = ctx->fmt_offset % align_at;
        if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
        if (ctx->struct_alignment == 0)
            ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                   ctx->is_complex);
      }
      if (type->size != size || type->typegroup != group) {
        if (type->typegroup == 'C' && type->fields != NULL) {
          size_t parent_offset = ctx->head->parent_offset + field->offset;
          ++ctx->head;
          ctx->head->field = type->fields;
          ctx->head->parent_offset = parent_offset;
          continue;
        }
        if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
        } else {
            __Pyx_BufFmt_RaiseExpected(ctx);
            return -1;
        }
      }
      offset = ctx->head->parent_offset + field->offset;
      if (ctx->fmt_offset != offset) {
        PyErr_Format(PyExc_ValueError,
                     "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                     (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
        return -1;
      }
      ctx->fmt_offset += size;
      if (arraysize)
        ctx->fmt_offset += (arraysize - 1) * size;
      --ctx->enc_count;
      while (1) {
        if (field == &ctx->root) {
          ctx->head = NULL;
          if (ctx->enc_count != 0) {
            __Pyx_BufFmt_RaiseExpected(ctx);
            return -1;
          }
          break;
        }
        ctx->head->field = ++field;
        if (field->type == NULL) {
          --ctx->head;
          field = ctx->head->field;
          continue;
        } else if (field->type->typegroup == 'S') {
          size_t parent_offset = ctx->head->parent_offset + field->offset;
          if (field->type->fields->type == NULL) continue;
          field = field->type->fields;
          ++ctx->head;
          ctx->head->field = field;
          ctx->head->parent_offset = parent_offset;
          break;
        } else {
          break;
        }
      }
    } while (ctx->enc_count);
    ctx->enc_type = 0;
    ctx->is_complex = 0;
    return 0;
  }
  static CYTHON_INLINE PyObject *
  __pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
  {
      const char *ts = *tsp;
      int i = 0, number;
      int ndim = ctx->head->field->type->ndim;
  ;
      ++ts;
      if (ctx->new_count != 1) {
          PyErr_SetString(PyExc_ValueError,
                          "Cannot handle repeated arrays in format string");
          return NULL;
      }
      if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
      while (*ts && *ts != ')') {
          switch (*ts) {
              case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
              default:  break;
          }
          number = __Pyx_BufFmt_ExpectNumber(&ts);
          if (number == -1) return NULL;
          if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
              return PyErr_Format(PyExc_ValueError,
                          "Expected a dimension of size %zu, got %d",
                          ctx->head->field->type->arraysize[i], number);
          if (*ts != ',' && *ts != ')')
              return PyErr_Format(PyExc_ValueError,
                                  "Expected a comma in format string, got '%c'", *ts);
          if (*ts == ',') ts++;
          i++;
      }
      if (i != ndim)
          return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
                              ctx->head->field->type->ndim, i);
      if (!*ts) {
          PyErr_SetString(PyExc_ValueError,
                          "Unexpected end of format string, expected ')'");
          return NULL;
      }
      ctx->is_valid_array = 1;
      ctx->new_count = 1;
      *tsp = ++ts;
      return Py_None;
  }
  static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
    int got_Z = 0;
    while (1) {
      switch(*ts) {
        case 0:
          if (ctx->enc_type != 0 && ctx->head == NULL) {
            __Pyx_BufFmt_RaiseExpected(ctx);
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          if (ctx->head != NULL) {
            __Pyx_BufFmt_RaiseExpected(ctx);
            return NULL;
          }
          return ts;
        case ' ':
        case '\r':
        case '\n':
          ++ts;
          break;
        case '<':
          if (!__Pyx_IsLittleEndian()) {
            PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
            return NULL;
          }
          ctx->new_packmode = '=';
          ++ts;
          break;
        case '>':
        case '!':
          if (__Pyx_IsLittleEndian()) {
            PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
            return NULL;
          }
          ctx->new_packmode = '=';
          ++ts;
          break;
        case '=':
        case '@':
        case '^':
          ctx->new_packmode = *ts++;
          break;
        case 'T':
          {
            const char* ts_after_sub;
            size_t i, struct_count = ctx->new_count;
            size_t struct_alignment = ctx->struct_alignment;
            ctx->new_count = 1;
            ++ts;
            if (*ts != '{') {
              PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
              return NULL;
            }
            if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
            ctx->enc_type = 0;
            ctx->enc_count = 0;
            ctx->struct_alignment = 0;
            ++ts;
            ts_after_sub = ts;
            for (i = 0; i != struct_count; ++i) {
              ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
              if (!ts_after_sub) return NULL;
            }
            ts = ts_after_sub;
            if (struct_alignment) ctx->struct_alignment = struct_alignment;
          }
          break;
        case '}':
          {
            size_t alignment = ctx->struct_alignment;
            ++ts;
            if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
            ctx->enc_type = 0;
            if (alignment && ctx->fmt_offset % alignment) {
              ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
            }
          }
          return ts;
        case 'x':
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->fmt_offset += ctx->new_count;
          ctx->new_count = 1;
          ctx->enc_count = 0;
          ctx->enc_type = 0;
          ctx->enc_packmode = ctx->new_packmode;
          ++ts;
          break;
        case 'Z':
          got_Z = 1;
          ++ts;
          if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
            __Pyx_BufFmt_RaiseUnexpectedChar('Z');
            return NULL;
          }
        case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
        case 'l': case 'L': case 'q': case 'Q':
        case 'f': case 'd': case 'g':
        case 'O': case 'p':
          if (ctx->enc_type == *ts && got_Z == ctx->is_complex &&
              ctx->enc_packmode == ctx->new_packmode) {
            ctx->enc_count += ctx->new_count;
            ctx->new_count = 1;
            got_Z = 0;
            ++ts;
            break;
          }
        case 's':
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_count = ctx->new_count;
          ctx->enc_packmode = ctx->new_packmode;
          ctx->enc_type = *ts;
          ctx->is_complex = got_Z;
          ++ts;
          ctx->new_count = 1;
          got_Z = 0;
          break;
        case ':':
          ++ts;
          while(*ts != ':') ++ts;
          ++ts;
          break;
        case '(':
          if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
          break;
        default:
          {
            int number = __Pyx_BufFmt_ExpectNumber(&ts);
            if (number == -1) return NULL;
            ctx->new_count = (size_t)number;
          }
      }
    }
  }
  static CYTHON_INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) {
    buf->buf = NULL;
    buf->obj = NULL;
    buf->strides = __Pyx_zeros;
    buf->shape = __Pyx_zeros;
    buf->suboffsets = __Pyx_minusones;
  }
  static CYTHON_INLINE int __Pyx_GetBufferAndValidate(
          Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
          int nd, int cast, __Pyx_BufFmt_StackElem* stack)
  {
    if (obj == Py_None || obj == NULL) {
      __Pyx_ZeroBuffer(buf);
      return 0;
    }
    buf->buf = NULL;
    if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail;
    if (buf->ndim != nd) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer has wrong number of dimensions (expected %d, got %d)",
                   nd, buf->ndim);
      goto fail;
    }
    if (!cast) {
      __Pyx_BufFmt_Context ctx;
      __Pyx_BufFmt_Init(&ctx, stack, dtype);
      if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
    }
    if ((unsigned)buf->itemsize != dtype->size) {
      PyErr_Format(PyExc_ValueError,
        "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",
        buf->itemsize, (buf->itemsize > 1) ? "s" : "",
        dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
      goto fail;
    }
    if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
    return 0;
  fail:;
    __Pyx_ZeroBuffer(buf);
    return -1;
  }
  static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
    if (info->buf == NULL) return;
    if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
    __Pyx_ReleaseBuffer(info);
  }
  
  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
  
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
  #ifdef __Pyx_CyFunction_USED
      if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
  #else
      if (likely(PyCFunction_Check(func))) {
  #endif
          if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
              return __Pyx_PyObject_CallMethO(func, NULL);
          }
      }
      return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
  }
  #endif
  
  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 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 int __Pyx_mod_int(int a, int b) {
      int r = a % b;
      r += ((r != 0) & ((r ^ b) < 0)) * b;
      return r;
  }
  
  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_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 int __Pyx_PyObject_SetSlice(
          PyObject* obj, PyObject* value, 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_ass_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_ass_slice(obj, cstart, cstop, value);
      }
  #endif
      mp = Py_TYPE(obj)->tp_as_mapping;
      if (likely(mp && mp->mp_ass_subscript))
  #endif
      {
          int 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_ass_subscript(obj, py_slice, value);
  #else
          result = value ? PyObject_SetItem(obj, py_slice, value) : PyObject_DelItem(obj, py_slice);
  #endif
          if (!_py_slice) {
              Py_DECREF(py_slice);
          }
          return result;
      }
      PyErr_Format(PyExc_TypeError,
          "'%.200s' object does not support slice %.10s",
          Py_TYPE(obj)->tp_name, value ? "assignment" : "deletion");
  bad:
      return -1;
  }
  
  static CYTHON_INLINE void __Pyx_ExceptionSave(PyObject **type, PyObject **value, PyObject **tb) {
  #if CYTHON_COMPILING_IN_CPYTHON
      PyThreadState *tstate = PyThreadState_GET();
      *type = tstate->exc_type;
      *value = tstate->exc_value;
      *tb = tstate->exc_traceback;
      Py_XINCREF(*type);
      Py_XINCREF(*value);
      Py_XINCREF(*tb);
  #else
      PyErr_GetExcInfo(type, value, tb);
  #endif
  }
  static void __Pyx_ExceptionReset(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->exc_type;
      tmp_value = tstate->exc_value;
      tmp_tb = tstate->exc_traceback;
      tstate->exc_type = type;
      tstate->exc_value = value;
      tstate->exc_traceback = tb;
      Py_XDECREF(tmp_type);
      Py_XDECREF(tmp_value);
      Py_XDECREF(tmp_tb);
  #else
      PyErr_SetExcInfo(type, value, tb);
  #endif
  }
  
  static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) {
      PyObject *local_type, *local_value, *local_tb;
  #if CYTHON_COMPILING_IN_CPYTHON
      PyObject *tmp_type, *tmp_value, *tmp_tb;
      PyThreadState *tstate = PyThreadState_GET();
      local_type = tstate->curexc_type;
      local_value = tstate->curexc_value;
      local_tb = tstate->curexc_traceback;
      tstate->curexc_type = 0;
      tstate->curexc_value = 0;
      tstate->curexc_traceback = 0;
  #else
      PyErr_Fetch(&local_type, &local_value, &local_tb);
  #endif
      PyErr_NormalizeException(&local_type, &local_value, &local_tb);
  #if CYTHON_COMPILING_IN_CPYTHON
      if (unlikely(tstate->curexc_type))
  #else
      if (unlikely(PyErr_Occurred()))
  #endif
          goto bad;
      #if PY_MAJOR_VERSION >= 3
      if (local_tb) {
          if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
              goto bad;
      }
      #endif
      Py_XINCREF(local_tb);
      Py_XINCREF(local_type);
      Py_XINCREF(local_value);
      *type = local_type;
      *value = local_value;
      *tb = local_tb;
  #if CYTHON_COMPILING_IN_CPYTHON
      tmp_type = tstate->exc_type;
      tmp_value = tstate->exc_value;
      tmp_tb = tstate->exc_traceback;
      tstate->exc_type = local_type;
      tstate->exc_value = local_value;
      tstate->exc_traceback = local_tb;
      Py_XDECREF(tmp_type);
      Py_XDECREF(tmp_value);
      Py_XDECREF(tmp_tb);
  #else
      PyErr_SetExcInfo(local_type, local_value, local_tb);
  #endif
      return 0;
  bad:
      *type = 0;
      *value = 0;
      *tb = 0;
      Py_XDECREF(local_type);
      Py_XDECREF(local_value);
      Py_XDECREF(local_tb);
      return -1;
  }
  
  static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
  #if CYTHON_COMPILING_IN_CPYTHON
  #if PY_MAJOR_VERSION >= 3
      if (likely(PyUnicode_Check(n)))
  #else
      if (likely(PyString_Check(n)))
  #endif
          return __Pyx_PyObject_GetAttrStr(o, n);
  #endif
      return PyObject_GetAttr(o, n);
  }
  
  static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
      PyObject *r = __Pyx_GetAttr(o, n);
      if (unlikely(!r)) {
          if (!PyErr_ExceptionMatches(PyExc_AttributeError))
              goto bad;
          PyErr_Clear();
          r = d;
          Py_INCREF(d);
      }
      return r;
  bad:
      return NULL;
  }
  
  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 int __Pyx_IterFinish(void) {
  #if CYTHON_COMPILING_IN_CPYTHON
      PyThreadState *tstate = PyThreadState_GET();
      PyObject* exc_type = tstate->curexc_type;
      if (unlikely(exc_type)) {
          if (likely(exc_type == PyExc_StopIteration) || PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)) {
              PyObject *exc_value, *exc_tb;
              exc_value = tstate->curexc_value;
              exc_tb = tstate->curexc_traceback;
              tstate->curexc_type = 0;
              tstate->curexc_value = 0;
              tstate->curexc_traceback = 0;
              Py_DECREF(exc_type);
              Py_XDECREF(exc_value);
              Py_XDECREF(exc_tb);
              return 0;
          } else {
              return -1;
          }
      }
      return 0;
  #else
      if (unlikely(PyErr_Occurred())) {
          if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
              PyErr_Clear();
              return 0;
          } else {
              return -1;
          }
      }
      return 0;
  #endif
  }
  
  static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
      if (unlikely(retval)) {
          Py_DECREF(retval);
          __Pyx_RaiseTooManyValuesError(expected);
          return -1;
      } else {
          return __Pyx_IterFinish();
      }
      return 0;
  }
  
  static CYTHON_INLINE long __Pyx_mod_long(long a, long b) {
      long r = a % b;
      r += ((r != 0) & ((r ^ b) < 0)) * b;
      return r;
  }
  
  static CYTHON_INLINE long __Pyx_div_long(long a, long b) {
      long q = a / b;
      long r = a - q*b;
      q -= ((r != 0) & ((r ^ b) < 0));
      return q;
  }
  
  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);
  }
  
  #if PY_MAJOR_VERSION < 3
  static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
      if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
          if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
      PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
      return -1;
  }
  static void __Pyx_ReleaseBuffer(Py_buffer *view) {
      PyObject *obj = view->obj;
      if (!obj) return;
      if (PyObject_CheckBuffer(obj)) {
          PyBuffer_Release(view);
          return;
      }
          if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; }
      Py_DECREF(obj);
      view->obj = NULL;
  }
  #endif
  
  
              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 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 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 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_unsigned_int(unsigned int value) {
      const unsigned int neg_one = (unsigned int) -1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(unsigned int) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(unsigned int) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
          } else if (sizeof(unsigned int) <= sizeof(unsigned long long)) {
              return PyLong_FromUnsignedLongLong((unsigned long long) value);
          }
      } else {
          if (sizeof(unsigned int) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(unsigned 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(unsigned 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);
      }
  }
  
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int32(npy_int32 value) {
      const npy_int32 neg_one = (npy_int32) -1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(npy_int32) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(npy_int32) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
          } else if (sizeof(npy_int32) <= sizeof(unsigned long long)) {
              return PyLong_FromUnsignedLongLong((unsigned long long) value);
          }
      } else {
          if (sizeof(npy_int32) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(npy_int32) <= 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(npy_int32),
                                       little, !is_unsigned);
      }
  }
  
  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;
  }
  
  #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 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 */
  