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  #if PY_MAJOR_VERSION >= 3
    #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
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    #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
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    #define PyBaseString_Type            PyUnicode_Type
    #define PyStringObject               PyUnicodeObject
    #define PyString_Type                PyUnicode_Type
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    #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
    #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
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    #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
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    #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
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    #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
    #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
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    #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
    #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
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  #if CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
  #else
    #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
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  #if PY_MAJOR_VERSION >= 3
    #define PyIntObject                  PyLongObject
    #define PyInt_Type                   PyLong_Type
    #define PyInt_Check(op)              PyLong_Check(op)
    #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
    #define PyInt_FromString             PyLong_FromString
    #define PyInt_FromUnicode            PyLong_FromUnicode
    #define PyInt_FromLong               PyLong_FromLong
    #define PyInt_FromSize_t             PyLong_FromSize_t
    #define PyInt_FromSsize_t            PyLong_FromSsize_t
    #define PyInt_AsLong                 PyLong_AsLong
    #define PyInt_AS_LONG                PyLong_AS_LONG
    #define PyInt_AsSsize_t              PyLong_AsSsize_t
    #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
    #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
    #define PyNumber_Int                 PyNumber_Long
  #endif
  #if PY_MAJOR_VERSION >= 3
    #define PyBoolObject                 PyLongObject
  #endif
  #if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
    #ifndef PyUnicode_InternFromString
      #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
    #endif
  #endif
  #if PY_VERSION_HEX < 0x030200A4
    typedef long Py_hash_t;
    #define __Pyx_PyInt_FromHash_t PyInt_FromLong
    #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
  #else
    #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
    #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
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  #if PY_MAJOR_VERSION >= 3
    #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
  #else
    #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
  #endif
  #if CYTHON_USE_ASYNC_SLOTS
    #if PY_VERSION_HEX >= 0x030500B1
      #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
      #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
    #else
      #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
    #endif
  #else
    #define __Pyx_PyType_AsAsync(obj) NULL
  #endif
  #ifndef __Pyx_PyAsyncMethodsStruct
      typedef struct {
          unaryfunc am_await;
          unaryfunc am_aiter;
          unaryfunc am_anext;
      } __Pyx_PyAsyncMethodsStruct;
  #endif
  
  #if defined(WIN32) || defined(MS_WINDOWS)
    #define _USE_MATH_DEFINES
  #endif
  #include <math.h>
  #ifdef NAN
  #define __PYX_NAN() ((float) NAN)
  #else
  static CYTHON_INLINE float __PYX_NAN() {
    float value;
    memset(&value, 0xFF, sizeof(value));
    return value;
  }
  #endif
  #if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
  #define __Pyx_truncl trunc
  #else
  #define __Pyx_truncl truncl
  #endif
  
  #define __PYX_MARK_ERR_POS(f_index, lineno) \
      { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }
  #define __PYX_ERR(f_index, lineno, Ln_error) \
      { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }
  
  #ifndef __PYX_EXTERN_C
    #ifdef __cplusplus
      #define __PYX_EXTERN_C extern "C"
    #else
      #define __PYX_EXTERN_C extern
    #endif
  #endif
  
  #define __PYX_HAVE__P4J__algorithms__string_length
  #define __PYX_HAVE_API__P4J__algorithms__string_length
  /* Early includes */
  #include "math.h"
  #include "pythread.h"
  #include <string.h>
  #include <stdlib.h>
  #include <stdio.h>
  #include "pystate.h"
  #ifdef _OPENMP
  #include <omp.h>
  #endif /* _OPENMP */
  
  #if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
  #define CYTHON_WITHOUT_ASSERTIONS
  #endif
  
  typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                  const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;
  
  #define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
  #define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
  #define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
  #define __PYX_DEFAULT_STRING_ENCODING ""
  #define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
  #define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
  #define __Pyx_uchar_cast(c) ((unsigned char)c)
  #define __Pyx_long_cast(x) ((long)x)
  #define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
      (sizeof(type) < sizeof(Py_ssize_t))  ||\
      (sizeof(type) > sizeof(Py_ssize_t) &&\
            likely(v < (type)PY_SSIZE_T_MAX ||\
                   v == (type)PY_SSIZE_T_MAX)  &&\
            (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                  v == (type)PY_SSIZE_T_MIN)))  ||\
      (sizeof(type) == sizeof(Py_ssize_t) &&\
            (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                                 v == (type)PY_SSIZE_T_MAX)))  )
  static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
      return (size_t) i < (size_t) limit;
  }
  #if defined (__cplusplus) && __cplusplus >= 201103L
      #include <cstdlib>
      #define __Pyx_sst_abs(value) std::abs(value)
  #elif SIZEOF_INT >= SIZEOF_SIZE_T
      #define __Pyx_sst_abs(value) abs(value)
  #elif SIZEOF_LONG >= SIZEOF_SIZE_T
      #define __Pyx_sst_abs(value) labs(value)
  #elif defined (_MSC_VER)
      #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
      #define __Pyx_sst_abs(value) llabs(value)
  #elif defined (__GNUC__)
      #define __Pyx_sst_abs(value) __builtin_llabs(value)
  #else
      #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
  #endif
  static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
  static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
  #define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
  #define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
  #define __Pyx_PyBytes_FromString        PyBytes_FromString
  #define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
  static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
  #if PY_MAJOR_VERSION < 3
      #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
      #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
  #else
      #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
      #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
  #endif
  #define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
  #define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
  #define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
  #define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
  #define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
  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);
  }
  #define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
  #define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
  #define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
  #define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
  #define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
  static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
  static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
  static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
  static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
  #define __Pyx_PySequence_Tuple(obj)\
      (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
  static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
  static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
  #if CYTHON_ASSUME_SAFE_MACROS
  #define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
  #else
  #define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
  #endif
  #define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
  #if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
  #else
  #define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
  #endif
  #define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
  #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
  static int __Pyx_sys_getdefaultencoding_not_ascii;
  static int __Pyx_init_sys_getdefaultencoding_params(void) {
      PyObject* sys;
      PyObject* default_encoding = NULL;
      PyObject* ascii_chars_u = NULL;
      PyObject* ascii_chars_b = NULL;
      const char* default_encoding_c;
      sys = PyImport_ImportModule("sys");
      if (!sys) goto bad;
      default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
      Py_DECREF(sys);
      if (!default_encoding) goto bad;
      default_encoding_c = PyBytes_AsString(default_encoding);
      if (!default_encoding_c) goto bad;
      if (strcmp(default_encoding_c, "ascii") == 0) {
          __Pyx_sys_getdefaultencoding_not_ascii = 0;
      } else {
          char ascii_chars[128];
          int c;
          for (c = 0; c < 128; c++) {
              ascii_chars[c] = c;
          }
          __Pyx_sys_getdefaultencoding_not_ascii = 1;
          ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
          if (!ascii_chars_u) goto bad;
          ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
          if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
              PyErr_Format(
                  PyExc_ValueError,
                  "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                  default_encoding_c);
              goto bad;
          }
          Py_DECREF(ascii_chars_u);
          Py_DECREF(ascii_chars_b);
      }
      Py_DECREF(default_encoding);
      return 0;
  bad:
      Py_XDECREF(default_encoding);
      Py_XDECREF(ascii_chars_u);
      Py_XDECREF(ascii_chars_b);
      return -1;
  }
  #endif
  #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
  #else
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
  #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
  static char* __PYX_DEFAULT_STRING_ENCODING;
  static int __Pyx_init_sys_getdefaultencoding_params(void) {
      PyObject* sys;
      PyObject* default_encoding = NULL;
      char* default_encoding_c;
      sys = PyImport_ImportModule("sys");
      if (!sys) goto bad;
      default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
      Py_DECREF(sys);
      if (!default_encoding) goto bad;
      default_encoding_c = PyBytes_AsString(default_encoding);
      if (!default_encoding_c) goto bad;
      __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
      if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
      strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
      Py_DECREF(default_encoding);
      return 0;
  bad:
      Py_XDECREF(default_encoding);
      return -1;
  }
  #endif
  #endif
  
  
  /* Test for GCC > 2.95 */
  #if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
    #define likely(x)   __builtin_expect(!!(x), 1)
    #define unlikely(x) __builtin_expect(!!(x), 0)
  #else /* !__GNUC__ or GCC < 2.95 */
    #define likely(x)   (x)
    #define unlikely(x) (x)
  #endif /* __GNUC__ */
  static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
  
  static PyObject *__pyx_m = NULL;
  static PyObject *__pyx_d;
  static PyObject *__pyx_b;
  static PyObject *__pyx_cython_runtime = NULL;
  static PyObject *__pyx_empty_tuple;
  static PyObject *__pyx_empty_bytes;
  static PyObject *__pyx_empty_unicode;
  static int __pyx_lineno;
  static int __pyx_clineno = 0;
  static const char * __pyx_cfilenm= __FILE__;
  static const char *__pyx_filename;
  
  
  static const char *__pyx_f[] = {
    "P4J/algorithms/string_length.pyx",
    "stringsource",
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  /* MemviewSliceStruct.proto */
  struct __pyx_memoryview_obj;
  typedef struct {
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    char *data;
    Py_ssize_t shape[8];
    Py_ssize_t strides[8];
    Py_ssize_t suboffsets[8];
  } __Pyx_memviewslice;
  #define __Pyx_MemoryView_Len(m)  (m.shape[0])
  
  /* Atomics.proto */
  #include <pythread.h>
  #ifndef CYTHON_ATOMICS
      #define CYTHON_ATOMICS 1
  #endif
  #define __pyx_atomic_int_type int
  #if CYTHON_ATOMICS && __GNUC__ >= 4 && (__GNUC_MINOR__ > 1 ||\
                      (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL >= 2)) &&\
                      !defined(__i386__)
      #define __pyx_atomic_incr_aligned(value, lock) __sync_fetch_and_add(value, 1)
      #define __pyx_atomic_decr_aligned(value, lock) __sync_fetch_and_sub(value, 1)
      #ifdef __PYX_DEBUG_ATOMICS
          #warning "Using GNU atomics"
      #endif
  #elif CYTHON_ATOMICS && defined(_MSC_VER) && 0
      #include <Windows.h>
      #undef __pyx_atomic_int_type
      #define __pyx_atomic_int_type LONG
      #define __pyx_atomic_incr_aligned(value, lock) InterlockedIncrement(value)
      #define __pyx_atomic_decr_aligned(value, lock) InterlockedDecrement(value)
      #ifdef __PYX_DEBUG_ATOMICS
          #pragma message ("Using MSVC atomics")
      #endif
  #elif CYTHON_ATOMICS && (defined(__ICC) || defined(__INTEL_COMPILER)) && 0
      #define __pyx_atomic_incr_aligned(value, lock) _InterlockedIncrement(value)
      #define __pyx_atomic_decr_aligned(value, lock) _InterlockedDecrement(value)
      #ifdef __PYX_DEBUG_ATOMICS
          #warning "Using Intel atomics"
      #endif
  #else
      #undef CYTHON_ATOMICS
      #define CYTHON_ATOMICS 0
      #ifdef __PYX_DEBUG_ATOMICS
          #warning "Not using atomics"
      #endif
  #endif
  typedef volatile __pyx_atomic_int_type __pyx_atomic_int;
  #if CYTHON_ATOMICS
      #define __pyx_add_acquisition_count(memview)\
               __pyx_atomic_incr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
      #define __pyx_sub_acquisition_count(memview)\
              __pyx_atomic_decr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
  #else
      #define __pyx_add_acquisition_count(memview)\
              __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
      #define __pyx_sub_acquisition_count(memview)\
              __pyx_sub_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
  #endif
  
  /* ForceInitThreads.proto */
  #ifndef __PYX_FORCE_INIT_THREADS
    #define __PYX_FORCE_INIT_THREADS 0
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  /* NoFastGil.proto */
  #define __Pyx_PyGILState_Ensure PyGILState_Ensure
  #define __Pyx_PyGILState_Release PyGILState_Release
  #define __Pyx_FastGIL_Remember()
  #define __Pyx_FastGIL_Forget()
  #define __Pyx_FastGilFuncInit()
  
  /* BufferFormatStructs.proto */
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  struct __Pyx_StructField_;
  #define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
  typedef struct {
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    struct __Pyx_StructField_* fields;
    size_t size;
    size_t arraysize[8];
    int ndim;
    char typegroup;
    char is_unsigned;
    int flags;
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  typedef struct __Pyx_StructField_ {
    __Pyx_TypeInfo* type;
    const char* name;
    size_t offset;
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  typedef struct {
    __Pyx_StructField* field;
    size_t parent_offset;
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  typedef struct {
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    __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;
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  /* "utilities.pxd":2
   * 
   * ctypedef float DTYPE_t             # <<<<<<<<<<<<<<
   * ctypedef int ITYPE_t
   * 
   */
  typedef float __pyx_t_3P4J_10algorithms_9utilities_DTYPE_t;
  
  /* "utilities.pxd":3
   * 
   * ctypedef float DTYPE_t
   * ctypedef int ITYPE_t             # <<<<<<<<<<<<<<
   * 
   * cdef void argsort(DTYPE_t*, ITYPE_t*, Py_ssize_t)
   */
  typedef int __pyx_t_3P4J_10algorithms_9utilities_ITYPE_t;
  
  /* "P4J/algorithms/string_length.pyx":8
   * from .utilities cimport argsort, unbiased_weighted_variance
   * 
   * ctypedef float DTYPE_t             # <<<<<<<<<<<<<<
   * ctypedef int ITYPE_t
   * 
   */
  typedef float __pyx_t_3P4J_10algorithms_13string_length_DTYPE_t;
  
  /* "P4J/algorithms/string_length.pyx":9
   * 
   * ctypedef float DTYPE_t
   * ctypedef int ITYPE_t             # <<<<<<<<<<<<<<
   * 
   * cdef extern from "math.h":
   */
  typedef int __pyx_t_3P4J_10algorithms_13string_length_ITYPE_t;
  
  /*--- Type declarations ---*/
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  /* AddTraceback.proto */
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  /* BufferStructDeclare.proto */
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  /* Capsule.proto */
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  /* BufferFormatCheck.proto */
  static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);
  static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
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  static int __pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b);
  
  /* MemviewSliceValidateAndInit.proto */
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                  __Pyx_BufFmt_StackElem stack[],
                  __Pyx_memviewslice *memviewslice,
                  PyObject *original_obj);
  
  /* ObjectToMemviewSlice.proto */
  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_3P4J_10algorithms_13string_length_DTYPE_t(PyObject *, int writable_flag);
  
  /* MemviewSliceCopyTemplate.proto */
  static __Pyx_memviewslice
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                                   size_t sizeof_dtype, int contig_flag,
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  /* GCCDiagnostics.proto */
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  /* CIntFromPy.proto */
  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *);
  
  /* CheckBinaryVersion.proto */
  static int __Pyx_check_binary_version(void);
  
  /* FunctionImport.proto */
  static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig);
  
  /* InitStrings.proto */
  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
  
  static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *__pyx_v_self); /* proto*/
  static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/
  static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/
  static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/
  static PyObject *__pyx_memoryview_setitem_slice_assign_scalar(struct __pyx_memoryview_obj *__pyx_v_self, struct __pyx_memoryview_obj *__pyx_v_dst, PyObject *__pyx_v_value); /* proto*/
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  static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
  static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
  static PyObject *__pyx_memoryviewslice_convert_item_to_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
  static PyObject *__pyx_memoryviewslice_assign_item_from_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
  
  /* Module declarations from 'cython.view' */
  
  /* Module declarations from 'cython' */
  
  /* Module declarations from 'cpython.mem' */
  
  /* Module declarations from 'P4J.algorithms.utilities' */
  static void (*__pyx_f_3P4J_10algorithms_9utilities_argsort)(__pyx_t_3P4J_10algorithms_9utilities_DTYPE_t *, __pyx_t_3P4J_10algorithms_9utilities_ITYPE_t *, Py_ssize_t); /*proto*/
  static __pyx_t_3P4J_10algorithms_9utilities_DTYPE_t (*__pyx_f_3P4J_10algorithms_9utilities_unbiased_weighted_variance)(__pyx_t_3P4J_10algorithms_9utilities_DTYPE_t *, __pyx_t_3P4J_10algorithms_9utilities_DTYPE_t *, Py_ssize_t); /*proto*/
  
  /* Module declarations from 'P4J.algorithms.string_length' */
  static PyTypeObject *__pyx_ptype_3P4J_10algorithms_13string_length_LKSL = 0;
  static PyTypeObject *__pyx_array_type = 0;
  static PyTypeObject *__pyx_MemviewEnum_type = 0;
  static PyTypeObject *__pyx_memoryview_type = 0;
  static PyTypeObject *__pyx_memoryviewslice_type = 0;
  static PyObject *generic = 0;
  static PyObject *strided = 0;
  static PyObject *indirect = 0;
  static PyObject *contiguous = 0;
  static PyObject *indirect_contiguous = 0;
  static int __pyx_memoryview_thread_locks_used;
  static PyThread_type_lock __pyx_memoryview_thread_locks[8];
  static struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char *, char *); /*proto*/
  static void *__pyx_align_pointer(void *, size_t); /*proto*/
  static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo *); /*proto*/
  static CYTHON_INLINE int __pyx_memoryview_check(PyObject *); /*proto*/
  static PyObject *_unellipsify(PyObject *, int); /*proto*/
  static PyObject *assert_direct_dimensions(Py_ssize_t *, int); /*proto*/
  static struct __pyx_memoryview_obj *__pyx_memview_slice(struct __pyx_memoryview_obj *, PyObject *); /*proto*/
  static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int, int); /*proto*/
  static char *__pyx_pybuffer_index(Py_buffer *, char *, Py_ssize_t, Py_ssize_t); /*proto*/
  static int __pyx_memslice_transpose(__Pyx_memviewslice *); /*proto*/
  static PyObject *__pyx_memoryview_fromslice(__Pyx_memviewslice, int, PyObject *(*)(char *), int (*)(char *, PyObject *), int); /*proto*/
  static __Pyx_memviewslice *__pyx_memoryview_get_slice_from_memoryview(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
  static void __pyx_memoryview_slice_copy(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
  static PyObject *__pyx_memoryview_copy_object(struct __pyx_memoryview_obj *); /*proto*/
  static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
  static Py_ssize_t abs_py_ssize_t(Py_ssize_t); /*proto*/
  static char __pyx_get_best_slice_order(__Pyx_memviewslice *, int); /*proto*/
  static void _copy_strided_to_strided(char *, Py_ssize_t *, char *, Py_ssize_t *, Py_ssize_t *, Py_ssize_t *, int, size_t); /*proto*/
  static void copy_strided_to_strided(__Pyx_memviewslice *, __Pyx_memviewslice *, int, size_t); /*proto*/
  static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *, int); /*proto*/
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  static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *, __Pyx_memviewslice *, char, int); /*proto*/
  static int __pyx_memoryview_err_extents(int, Py_ssize_t, Py_ssize_t); /*proto*/
  static int __pyx_memoryview_err_dim(PyObject *, char *, int); /*proto*/
  static int __pyx_memoryview_err(PyObject *, char *); /*proto*/
  static int __pyx_memoryview_copy_contents(__Pyx_memviewslice, __Pyx_memviewslice, int, int, int); /*proto*/
  static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *, int, int); /*proto*/
  static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/
  static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
  static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
  static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/
  static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/
  static PyObject *__pyx_unpickle_Enum__set_state(struct __pyx_MemviewEnum_obj *, PyObject *); /*proto*/
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  static PyObject *__pyx_builtin_range;
  static PyObject *__pyx_builtin_TypeError;
  static PyObject *__pyx_builtin_ValueError;
  static PyObject *__pyx_builtin_enumerate;
  static PyObject *__pyx_builtin_Ellipsis;
  static PyObject *__pyx_builtin_id;
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  static const char __pyx_k_name[] = "name";
  static const char __pyx_k_ndim[] = "ndim";
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  static const char __pyx_k_size[] = "size";
  static const char __pyx_k_step[] = "step";
  static const char __pyx_k_stop[] = "stop";
  static const char __pyx_k_test[] = "__test__";
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  static const char __pyx_k_start[] = "start";
  static const char __pyx_k_encode[] = "encode";
  static const char __pyx_k_format[] = "format";
  static const char __pyx_k_import[] = "__import__";
  static const char __pyx_k_name_2[] = "__name__";
  static const char __pyx_k_pickle[] = "pickle";
  static const char __pyx_k_reduce[] = "__reduce__";
  static const char __pyx_k_struct[] = "struct";
  static const char __pyx_k_unpack[] = "unpack";
  static const char __pyx_k_update[] = "update";
  static const char __pyx_k_fortran[] = "fortran";
  static const char __pyx_k_memview[] = "memview";
  static const char __pyx_k_Ellipsis[] = "Ellipsis";
  static const char __pyx_k_getstate[] = "__getstate__";
  static const char __pyx_k_itemsize[] = "itemsize";
  static const char __pyx_k_pyx_type[] = "__pyx_type";
  static const char __pyx_k_setstate[] = "__setstate__";
  static const char __pyx_k_TypeError[] = "TypeError";
  static const char __pyx_k_enumerate[] = "enumerate";
  static const char __pyx_k_pyx_state[] = "__pyx_state";
  static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
  static const char __pyx_k_IndexError[] = "IndexError";
  static const char __pyx_k_ValueError[] = "ValueError";
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  static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
  static const char __pyx_k_MemoryError[] = "MemoryError";
  static const char __pyx_k_PickleError[] = "PickleError";
  static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
  static const char __pyx_k_stringsource[] = "stringsource";
  static const char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
  static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
  static const char __pyx_k_View_MemoryView[] = "View.MemoryView";
  static const char __pyx_k_allocate_buffer[] = "allocate_buffer";
  static const char __pyx_k_dtype_is_object[] = "dtype_is_object";
  static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
  static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
  static const char __pyx_k_pyx_unpickle_Enum[] = "__pyx_unpickle_Enum";
  static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
  static const char __pyx_k_strided_and_direct[] = "<strided and direct>";
  static const char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
  static const char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
  static const char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
  static const char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";
  static const char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";
  static const char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";
  static const char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";
  static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
  static const char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
  static const char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
  static const char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
  static const char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
  static const char __pyx_k_Cannot_assign_to_read_only_memor[] = "Cannot assign to read-only memoryview";
  static const char __pyx_k_Cannot_create_writable_memory_vi[] = "Cannot create writable memory view from read-only memoryview";
  static const char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
  static const char __pyx_k_Incompatible_checksums_s_vs_0xb0[] = "Incompatible checksums (%s vs 0xb068931 = (name))";
  static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
  static const char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";
  static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";
  static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
  static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";
  static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
  static const char __pyx_k_self_err2_self_mag_self_mjd_self[] = "self.err2,self.mag,self.mjd,self.phase,self.sorted_idx cannot be converted to a Python object for pickling";
  static const char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
  static PyObject *__pyx_n_s_ASCII;
  static PyObject *__pyx_kp_s_Buffer_view_does_not_expose_stri;
  static PyObject *__pyx_kp_s_Can_only_create_a_buffer_that_is;
  static PyObject *__pyx_kp_s_Cannot_assign_to_read_only_memor;
  static PyObject *__pyx_kp_s_Cannot_create_writable_memory_vi;
  static PyObject *__pyx_kp_s_Cannot_index_with_type_s;
  static PyObject *__pyx_n_s_Ellipsis;
  static PyObject *__pyx_kp_s_Empty_shape_tuple_for_cython_arr;
  static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xb0;
  static PyObject *__pyx_n_s_IndexError;
  static PyObject *__pyx_kp_s_Indirect_dimensions_not_supporte;
  static PyObject *__pyx_kp_s_Invalid_mode_expected_c_or_fortr;
  static PyObject *__pyx_kp_s_Invalid_shape_in_axis_d_d;
  static PyObject *__pyx_n_s_LKSL;
  static PyObject *__pyx_n_s_MemoryError;
  static PyObject *__pyx_kp_s_MemoryView_of_r_at_0x_x;
  static PyObject *__pyx_kp_s_MemoryView_of_r_object;
  static PyObject *__pyx_n_b_O;
  static PyObject *__pyx_kp_s_Out_of_bounds_on_buffer_access_a;
  static PyObject *__pyx_n_s_PickleError;
  static PyObject *__pyx_n_s_TypeError;
  static PyObject *__pyx_kp_s_Unable_to_convert_item_to_object;
  static PyObject *__pyx_n_s_ValueError;
  static PyObject *__pyx_n_s_View_MemoryView;
  static PyObject *__pyx_n_s_allocate_buffer;
  static PyObject *__pyx_n_s_base;
  static PyObject *__pyx_n_s_c;
  static PyObject *__pyx_n_u_c;
  static PyObject *__pyx_n_s_class;
  static PyObject *__pyx_n_s_cline_in_traceback;
  static PyObject *__pyx_kp_s_contiguous_and_direct;
  static PyObject *__pyx_kp_s_contiguous_and_indirect;
  static PyObject *__pyx_n_s_dict;
  static PyObject *__pyx_n_s_dtype_is_object;
  static PyObject *__pyx_n_s_encode;
  static PyObject *__pyx_n_s_enumerate;
  static PyObject *__pyx_n_s_err;
  static PyObject *__pyx_n_s_error;
  static PyObject *__pyx_n_s_flags;
  static PyObject *__pyx_n_s_format;
  static PyObject *__pyx_n_s_fortran;
  static PyObject *__pyx_n_u_fortran;
  static PyObject *__pyx_n_s_getstate;
  static PyObject *__pyx_kp_s_got_differing_extents_in_dimensi;
  static PyObject *__pyx_n_s_id;
  static PyObject *__pyx_n_s_import;
  static PyObject *__pyx_n_s_itemsize;
  static PyObject *__pyx_kp_s_itemsize_0_for_cython_array;
  static PyObject *__pyx_n_s_mag;
  static PyObject *__pyx_n_s_main;
  static PyObject *__pyx_n_s_memview;
  static PyObject *__pyx_n_s_mjd;
  static PyObject *__pyx_n_s_mode;
  static PyObject *__pyx_n_s_name;
  static PyObject *__pyx_n_s_name_2;
  static PyObject *__pyx_n_s_ndim;
  static PyObject *__pyx_n_s_new;
  static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
  static PyObject *__pyx_n_s_obj;
  static PyObject *__pyx_n_s_pack;
  static PyObject *__pyx_n_s_pickle;
  static PyObject *__pyx_n_s_pyx_PickleError;
  static PyObject *__pyx_n_s_pyx_checksum;
  static PyObject *__pyx_n_s_pyx_getbuffer;
  static PyObject *__pyx_n_s_pyx_result;
  static PyObject *__pyx_n_s_pyx_state;
  static PyObject *__pyx_n_s_pyx_type;
  static PyObject *__pyx_n_s_pyx_unpickle_Enum;
  static PyObject *__pyx_n_s_pyx_vtable;
  static PyObject *__pyx_n_s_range;
  static PyObject *__pyx_n_s_reduce;
  static PyObject *__pyx_n_s_reduce_cython;
  static PyObject *__pyx_n_s_reduce_ex;
  static PyObject *__pyx_kp_s_self_err2_self_mag_self_mjd_self;
  static PyObject *__pyx_n_s_setstate;
  static PyObject *__pyx_n_s_setstate_cython;
  static PyObject *__pyx_n_s_shape;
  static PyObject *__pyx_n_s_size;
  static PyObject *__pyx_n_s_start;
  static PyObject *__pyx_n_s_step;
  static PyObject *__pyx_n_s_stop;
  static PyObject *__pyx_kp_s_strided_and_direct;
  static PyObject *__pyx_kp_s_strided_and_direct_or_indirect;
  static PyObject *__pyx_kp_s_strided_and_indirect;
  static PyObject *__pyx_kp_s_stringsource;
  static PyObject *__pyx_n_s_struct;
  static PyObject *__pyx_n_s_test;
  static PyObject *__pyx_kp_s_unable_to_allocate_array_data;
  static PyObject *__pyx_kp_s_unable_to_allocate_shape_and_str;
  static PyObject *__pyx_n_s_unpack;
  static PyObject *__pyx_n_s_update;
  static int __pyx_pf_3P4J_10algorithms_13string_length_4LKSL___init__(struct __pyx_obj_3P4J_10algorithms_13string_length_LKSL *__pyx_v_self, __Pyx_memviewslice __pyx_v_mjd, __Pyx_memviewslice __pyx_v_mag, __Pyx_memviewslice __pyx_v_err); /* proto */
  static PyObject *__pyx_pf_3P4J_10algorithms_13string_length_4LKSL_2eval_frequency(struct __pyx_obj_3P4J_10algorithms_13string_length_LKSL *__pyx_v_self, __pyx_t_3P4J_10algorithms_13string_length_DTYPE_t __pyx_v_freq); /* proto */
  static void __pyx_pf_3P4J_10algorithms_13string_length_4LKSL_4__dealloc__(struct __pyx_obj_3P4J_10algorithms_13string_length_LKSL *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_3P4J_10algorithms_13string_length_4LKSL_6__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_3P4J_10algorithms_13string_length_LKSL *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_3P4J_10algorithms_13string_length_4LKSL_8__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_3P4J_10algorithms_13string_length_LKSL *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
  static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
  static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
  static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
  static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
  static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
  static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
  static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
  static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
  static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf___pyx_MemviewEnum___reduce_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf___pyx_MemviewEnum_2__setstate_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
  static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */
  static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
  static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
  static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
  static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_8itemsize___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_6nbytes___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4size___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static Py_ssize_t __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_10__len__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_16is_c_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_20copy(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_22copy_fortran(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf___pyx_memoryview___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf___pyx_memoryview_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
  static void __pyx_memoryviewslice___pyx_pf_15View_dot_MemoryView_16_memoryviewslice___dealloc__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_15View_dot_MemoryView_16_memoryviewslice_4base___get__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf___pyx_memoryviewslice___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf___pyx_memoryviewslice_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
  static PyObject *__pyx_pf_15View_dot_MemoryView___pyx_unpickle_Enum(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
  static PyObject *__pyx_tp_new_3P4J_10algorithms_13string_length_LKSL(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
  static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
  static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
  static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
  static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
  static PyObject *__pyx_int_0;
  static PyObject *__pyx_int_1;
  static PyObject *__pyx_int_184977713;
  static PyObject *__pyx_int_neg_1;
  static PyObject *__pyx_tuple_;
  static PyObject *__pyx_tuple__2;
  static PyObject *__pyx_tuple__3;
  static PyObject *__pyx_tuple__4;
  static PyObject *__pyx_tuple__5;
  static PyObject *__pyx_tuple__6;
  static PyObject *__pyx_tuple__7;
  static PyObject *__pyx_tuple__8;
  static PyObject *__pyx_tuple__9;
  static PyObject *__pyx_slice__17;
  static PyObject *__pyx_tuple__10;
  static PyObject *__pyx_tuple__11;
  static PyObject *__pyx_tuple__12;
  static PyObject *__pyx_tuple__13;
  static PyObject *__pyx_tuple__14;
  static PyObject *__pyx_tuple__15;
  static PyObject *__pyx_tuple__16;
  static PyObject *__pyx_tuple__18;
  static PyObject *__pyx_tuple__19;
  static PyObject *__pyx_tuple__20;
  static PyObject *__pyx_tuple__21;
  static PyObject *__pyx_tuple__22;
  static PyObject *__pyx_tuple__23;
  static PyObject *__pyx_tuple__24;
  static PyObject *__pyx_tuple__25;
  static PyObject *__pyx_tuple__26;
  static PyObject *__pyx_codeobj__27;
  /* Late includes */
  
  /* "P4J/algorithms/string_length.pyx":37
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  /* Python wrapper */
  static int __pyx_pw_3P4J_10algorithms_13string_length_4LKSL_1__init__(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
  static int __pyx_pw_3P4J_10algorithms_13string_length_4LKSL_1__init__(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
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   * 
   *     if isinstance(memview, _memoryviewslice):
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   *     for dim, index in enumerate(indices):             # <<<<<<<<<<<<<<
   *         if PyIndex_Check(index):
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   *             new_ndim += 1
   * 
   *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
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      /* "View.MemoryView":777
   * 
   *     if isinstance(memview, _memoryviewslice):
   *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<
   *                                     memviewsliceobj.to_object_func,
   *                                     memviewsliceobj.to_dtype_func,
   */
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      /* "View.MemoryView":778
   *     if isinstance(memview, _memoryviewslice):
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   *                                     memviewsliceobj.to_object_func,             # <<<<<<<<<<<<<<
   *                                     memviewsliceobj.to_dtype_func,
   *                                     memview.dtype_is_object)
   */
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      /* "View.MemoryView":779
   *         return memoryview_fromslice(dst, new_ndim,
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   *                                     memviewsliceobj.to_dtype_func,             # <<<<<<<<<<<<<<
   *                                     memview.dtype_is_object)
   *     else:
   */
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      /* "View.MemoryView":777
   * 
   *     if isinstance(memview, _memoryviewslice):
   *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<
   *                                     memviewsliceobj.to_object_func,
   *                                     memviewsliceobj.to_dtype_func,
   */
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      /* "View.MemoryView":776
   *             new_ndim += 1
   * 
   *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
   *         return memoryview_fromslice(dst, new_ndim,
   *                                     memviewsliceobj.to_object_func,
   */
    }
  
    /* "View.MemoryView":782
   *                                     memview.dtype_is_object)
   *     else:
   *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
   *                                     memview.dtype_is_object)
   * 
   */
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      __Pyx_XDECREF(((PyObject *)__pyx_r));
  
      /* "View.MemoryView":783
   *     else:
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   *                                     memview.dtype_is_object)             # <<<<<<<<<<<<<<
   * 
   * 
   */
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      /* "View.MemoryView":782
   *                                     memview.dtype_is_object)
   *     else:
   *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
   *                                     memview.dtype_is_object)
   * 
   */
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    /* "View.MemoryView":710
   * 
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   * cdef memoryview memview_slice(memoryview memview, object indices):             # <<<<<<<<<<<<<<
   *     cdef int new_ndim = 0, suboffset_dim = -1, dim
   *     cdef bint negative_step
   */
  
    /* function exit code */
    __pyx_L1_error:;
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  /* "View.MemoryView":807
   * 
   * @cname('__pyx_memoryview_slice_memviewslice')
   * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
   *         __Pyx_memviewslice *dst,
   *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
   */
  
  static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *__pyx_v_dst, Py_ssize_t __pyx_v_shape, Py_ssize_t __pyx_v_stride, Py_ssize_t __pyx_v_suboffset, int __pyx_v_dim, int __pyx_v_new_ndim, int *__pyx_v_suboffset_dim, Py_ssize_t __pyx_v_start, Py_ssize_t __pyx_v_stop, Py_ssize_t __pyx_v_step, int __pyx_v_have_start, int __pyx_v_have_stop, int __pyx_v_have_step, int __pyx_v_is_slice) {
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    int __pyx_t_2;
    int __pyx_t_3;
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   *     cdef bint negative_step
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   *     if not is_slice:             # <<<<<<<<<<<<<<
   * 
   *         if start < 0:
   */
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   *     if not is_slice:
   * 
   *         if start < 0:             # <<<<<<<<<<<<<<
   *             start += shape
   *         if not 0 <= start < shape:
   */
      __pyx_t_1 = ((__pyx_v_start < 0) != 0);
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        /* "View.MemoryView":830
   * 
   *         if start < 0:
   *             start += shape             # <<<<<<<<<<<<<<
   *         if not 0 <= start < shape:
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   */
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        /* "View.MemoryView":829
   *     if not is_slice:
   * 
   *         if start < 0:             # <<<<<<<<<<<<<<
   *             start += shape
   *         if not 0 <= start < shape:
   */
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      /* "View.MemoryView":831
   *         if start < 0:
   *             start += shape
   *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
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   *     else:
   */
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        /* "View.MemoryView":832
   *             start += shape
   *         if not 0 <= start < shape:
   *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)             # <<<<<<<<<<<<<<
   *     else:
   * 
   */
        __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"Index out of bounds (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 832, __pyx_L1_error)
  
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   *             start += shape
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   *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
   *     else:
   */
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   *     cdef bint negative_step
   * 
   *     if not is_slice:             # <<<<<<<<<<<<<<
   * 
   *         if start < 0:
   */
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    }
  
    /* "View.MemoryView":835
   *     else:
   * 
   *         negative_step = have_step != 0 and step < 0             # <<<<<<<<<<<<<<
   * 
   *         if have_step and step == 0:
   */
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      __pyx_t_1 = ((__pyx_v_step < 0) != 0);
      __pyx_t_2 = __pyx_t_1;
      __pyx_L6_bool_binop_done:;
      __pyx_v_negative_step = __pyx_t_2;
  
      /* "View.MemoryView":837
   *         negative_step = have_step != 0 and step < 0
   * 
   *         if have_step and step == 0:             # <<<<<<<<<<<<<<
   *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
   * 
   */
      __pyx_t_1 = (__pyx_v_have_step != 0);
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      } else {
        __pyx_t_2 = __pyx_t_1;
        goto __pyx_L9_bool_binop_done;
      }
      __pyx_t_1 = ((__pyx_v_step == 0) != 0);
      __pyx_t_2 = __pyx_t_1;
      __pyx_L9_bool_binop_done:;
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        /* "View.MemoryView":838
   * 
   *         if have_step and step == 0:
   *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)             # <<<<<<<<<<<<<<
   * 
   * 
   */
        __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Step may not be zero (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 838, __pyx_L1_error)
  
        /* "View.MemoryView":837
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   * 
   *         if have_step and step == 0:             # <<<<<<<<<<<<<<
   *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
   * 
   */
      }
  
      /* "View.MemoryView":841
   * 
   * 
   *         if have_start:             # <<<<<<<<<<<<<<
   *             if start < 0:
   *                 start += shape
   */
      __pyx_t_2 = (__pyx_v_have_start != 0);
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        /* "View.MemoryView":842
   * 
   *         if have_start:
   *             if start < 0:             # <<<<<<<<<<<<<<
   *                 start += shape
   *                 if start < 0:
   */
        __pyx_t_2 = ((__pyx_v_start < 0) != 0);
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          /* "View.MemoryView":843
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   *             if start < 0:
   *                 start += shape             # <<<<<<<<<<<<<<
   *                 if start < 0:
   *                     start = 0
   */
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          /* "View.MemoryView":844
   *             if start < 0:
   *                 start += shape
   *                 if start < 0:             # <<<<<<<<<<<<<<
   *                     start = 0
   *             elif start >= shape:
   */
          __pyx_t_2 = ((__pyx_v_start < 0) != 0);
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            /* "View.MemoryView":845
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   *                     start = 0             # <<<<<<<<<<<<<<
   *             elif start >= shape:
   *                 if negative_step:
   */
            __pyx_v_start = 0;
  
            /* "View.MemoryView":844
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   *                 start += shape
   *                 if start < 0:             # <<<<<<<<<<<<<<
   *                     start = 0
   *             elif start >= shape:
   */
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          /* "View.MemoryView":842
   * 
   *         if have_start:
   *             if start < 0:             # <<<<<<<<<<<<<<
   *                 start += shape
   *                 if start < 0:
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        /* "View.MemoryView":846
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   *                     start = 0
   *             elif start >= shape:             # <<<<<<<<<<<<<<
   *                 if negative_step:
   *                     start = shape - 1
   */
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          /* "View.MemoryView":847
   *                     start = 0
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   *                     start = shape - 1
   *                 else:
   */
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            /* "View.MemoryView":848
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   *                 else:
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            /* "View.MemoryView":847
   *                     start = 0
   *             elif start >= shape:
   *                 if negative_step:             # <<<<<<<<<<<<<<
   *                     start = shape - 1
   *                 else:
   */
            goto __pyx_L14;
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          /* "View.MemoryView":850
   *                     start = shape - 1
   *                 else:
   *                     start = shape             # <<<<<<<<<<<<<<
   *         else:
   *             if negative_step:
   */
          /*else*/ {
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          __pyx_L14:;
  
          /* "View.MemoryView":846
   *                 if start < 0:
   *                     start = 0
   *             elif start >= shape:             # <<<<<<<<<<<<<<
   *                 if negative_step:
   *                     start = shape - 1
   */
        }
        __pyx_L12:;
  
        /* "View.MemoryView":841
   * 
   * 
   *         if have_start:             # <<<<<<<<<<<<<<
   *             if start < 0:
   *                 start += shape
   */
        goto __pyx_L11;
      }
  
      /* "View.MemoryView":852
   *                     start = shape
   *         else:
   *             if negative_step:             # <<<<<<<<<<<<<<
   *                 start = shape - 1
   *             else:
   */
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          /* "View.MemoryView":853
   *         else:
   *             if negative_step:
   *                 start = shape - 1             # <<<<<<<<<<<<<<
   *             else:
   *                 start = 0
   */
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          /* "View.MemoryView":852
   *                     start = shape
   *         else:
   *             if negative_step:             # <<<<<<<<<<<<<<
   *                 start = shape - 1
   *             else:
   */
          goto __pyx_L15;
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        /* "View.MemoryView":855
   *                 start = shape - 1
   *             else:
   *                 start = 0             # <<<<<<<<<<<<<<
   * 
   *         if have_stop:
   */
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        __pyx_L15:;
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   *                 start = 0
   * 
   *         if have_stop:             # <<<<<<<<<<<<<<
   *             if stop < 0:
   *                 stop += shape
   */
      __pyx_t_2 = (__pyx_v_have_stop != 0);
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        /* "View.MemoryView":858
   * 
   *         if have_stop:
   *             if stop < 0:             # <<<<<<<<<<<<<<
   *                 stop += shape
   *                 if stop < 0:
   */
        __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
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          /* "View.MemoryView":859
   *         if have_stop:
   *             if stop < 0:
   *                 stop += shape             # <<<<<<<<<<<<<<
   *                 if stop < 0:
   *                     stop = 0
   */
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   *                 stop += shape
   *                 if stop < 0:             # <<<<<<<<<<<<<<
   *                     stop = 0
   *             elif stop > shape:
   */
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   *             elif stop > shape:
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   *             elif stop > shape:
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   *         if have_stop:
   *             if stop < 0:             # <<<<<<<<<<<<<<
   *                 stop += shape
   *                 if stop < 0:
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   *             elif stop > shape:             # <<<<<<<<<<<<<<
   *                 stop = shape
   *         else:
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   *             elif stop > shape:
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   *         else:
   *             if negative_step:
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          /* "View.MemoryView":862
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   *                     stop = 0
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   *                 stop = shape
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        }
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        /* "View.MemoryView":857
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   * 
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        goto __pyx_L16;
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      /* "View.MemoryView":865
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   *         else:
   *             if negative_step:             # <<<<<<<<<<<<<<
   *                 stop = -1
   *             else:
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          /* "View.MemoryView":866
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   *             if negative_step:
   *                 stop = -1             # <<<<<<<<<<<<<<
   *             else:
   *                 stop = shape
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          __pyx_v_stop = -1L;
  
          /* "View.MemoryView":865
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   *         else:
   *             if negative_step:             # <<<<<<<<<<<<<<
   *                 stop = -1
   *             else:
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          goto __pyx_L19;
        }
  
        /* "View.MemoryView":868
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   *             else:
   *                 stop = shape             # <<<<<<<<<<<<<<
   * 
   *         if not have_step:
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        __pyx_L19:;
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      __pyx_L16:;
  
      /* "View.MemoryView":870
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   * 
   *         if not have_step:             # <<<<<<<<<<<<<<
   *             step = 1
   * 
   */
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      if (__pyx_t_2) {
  
        /* "View.MemoryView":871
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   *         if not have_step:
   *             step = 1             # <<<<<<<<<<<<<<
   * 
   * 
   */
        __pyx_v_step = 1;
  
        /* "View.MemoryView":870
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   * 
   *         if not have_step:             # <<<<<<<<<<<<<<
   *             step = 1
   * 
   */
      }
  
      /* "View.MemoryView":875
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   *         with cython.cdivision(True):
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   * 
   *             if (stop - start) - step * new_shape:
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      __pyx_v_new_shape = ((__pyx_v_stop - __pyx_v_start) / __pyx_v_step);
  
      /* "View.MemoryView":877
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   * 
   *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
   *                 new_shape += 1
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   */
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      if (__pyx_t_2) {
  
        /* "View.MemoryView":878
   * 
   *             if (stop - start) - step * new_shape:
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   * 
   *         if new_shape < 0:
   */
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        /* "View.MemoryView":877
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   * 
   *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
   *                 new_shape += 1
   * 
   */
      }
  
      /* "View.MemoryView":880
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   * 
   *         if new_shape < 0:             # <<<<<<<<<<<<<<
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   * 
   */
      __pyx_t_2 = ((__pyx_v_new_shape < 0) != 0);
      if (__pyx_t_2) {
  
        /* "View.MemoryView":881
   * 
   *         if new_shape < 0:
   *             new_shape = 0             # <<<<<<<<<<<<<<
   * 
   * 
   */
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        /* "View.MemoryView":880
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   * 
   *         if new_shape < 0:             # <<<<<<<<<<<<<<
   *             new_shape = 0
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   */
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   * 
   *         dst.strides[new_ndim] = stride * step             # <<<<<<<<<<<<<<
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   * 
   *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
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      /* "View.MemoryView":890
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   * 
   *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
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   *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
   */
  
  static void _copy_strided_to_strided(char *__pyx_v_src_data, Py_ssize_t *__pyx_v_src_strides, char *__pyx_v_dst_data, Py_ssize_t *__pyx_v_dst_strides, Py_ssize_t *__pyx_v_src_shape, Py_ssize_t *__pyx_v_dst_shape, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
    CYTHON_UNUSED Py_ssize_t __pyx_v_i;
    CYTHON_UNUSED Py_ssize_t __pyx_v_src_extent;
    Py_ssize_t __pyx_v_dst_extent;
    Py_ssize_t __pyx_v_src_stride;
    Py_ssize_t __pyx_v_dst_stride;
    int __pyx_t_1;
    int __pyx_t_2;
    int __pyx_t_3;
    Py_ssize_t __pyx_t_4;
    Py_ssize_t __pyx_t_5;
    Py_ssize_t __pyx_t_6;
  
    /* "View.MemoryView":1147
   * 
   *     cdef Py_ssize_t i
   *     cdef Py_ssize_t src_extent = src_shape[0]             # <<<<<<<<<<<<<<
   *     cdef Py_ssize_t dst_extent = dst_shape[0]
   *     cdef Py_ssize_t src_stride = src_strides[0]
   */
    __pyx_v_src_extent = (__pyx_v_src_shape[0]);
  
    /* "View.MemoryView":1148
   *     cdef Py_ssize_t i
   *     cdef Py_ssize_t src_extent = src_shape[0]
   *     cdef Py_ssize_t dst_extent = dst_shape[0]             # <<<<<<<<<<<<<<
   *     cdef Py_ssize_t src_stride = src_strides[0]
   *     cdef Py_ssize_t dst_stride = dst_strides[0]
   */
    __pyx_v_dst_extent = (__pyx_v_dst_shape[0]);
  
    /* "View.MemoryView":1149
   *     cdef Py_ssize_t src_extent = src_shape[0]
   *     cdef Py_ssize_t dst_extent = dst_shape[0]
   *     cdef Py_ssize_t src_stride = src_strides[0]             # <<<<<<<<<<<<<<
   *     cdef Py_ssize_t dst_stride = dst_strides[0]
   * 
   */
    __pyx_v_src_stride = (__pyx_v_src_strides[0]);
  
    /* "View.MemoryView":1150
   *     cdef Py_ssize_t dst_extent = dst_shape[0]
   *     cdef Py_ssize_t src_stride = src_strides[0]
   *     cdef Py_ssize_t dst_stride = dst_strides[0]             # <<<<<<<<<<<<<<
   * 
   *     if ndim == 1:
   */
    __pyx_v_dst_stride = (__pyx_v_dst_strides[0]);
  
    /* "View.MemoryView":1152
   *     cdef Py_ssize_t dst_stride = dst_strides[0]
   * 
   *     if ndim == 1:             # <<<<<<<<<<<<<<
   *        if (src_stride > 0 and dst_stride > 0 and
   *            <size_t> src_stride == itemsize == <size_t> dst_stride):
   */
    __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
    if (__pyx_t_1) {
  
      /* "View.MemoryView":1153
   * 
   *     if ndim == 1:
   *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
   *            <size_t> src_stride == itemsize == <size_t> dst_stride):
   *            memcpy(dst_data, src_data, itemsize * dst_extent)
   */
      __pyx_t_2 = ((__pyx_v_src_stride > 0) != 0);
      if (__pyx_t_2) {
      } else {
        __pyx_t_1 = __pyx_t_2;
        goto __pyx_L5_bool_binop_done;
      }
      __pyx_t_2 = ((__pyx_v_dst_stride > 0) != 0);
      if (__pyx_t_2) {
      } else {
        __pyx_t_1 = __pyx_t_2;
        goto __pyx_L5_bool_binop_done;
      }
  
      /* "View.MemoryView":1154
   *     if ndim == 1:
   *        if (src_stride > 0 and dst_stride > 0 and
   *            <size_t> src_stride == itemsize == <size_t> dst_stride):             # <<<<<<<<<<<<<<
   *            memcpy(dst_data, src_data, itemsize * dst_extent)
   *        else:
   */
      __pyx_t_2 = (((size_t)__pyx_v_src_stride) == __pyx_v_itemsize);
      if (__pyx_t_2) {
        __pyx_t_2 = (__pyx_v_itemsize == ((size_t)__pyx_v_dst_stride));
      }
      __pyx_t_3 = (__pyx_t_2 != 0);
      __pyx_t_1 = __pyx_t_3;
      __pyx_L5_bool_binop_done:;
  
      /* "View.MemoryView":1153
   * 
   *     if ndim == 1:
   *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
   *            <size_t> src_stride == itemsize == <size_t> dst_stride):
   *            memcpy(dst_data, src_data, itemsize * dst_extent)
   */
      if (__pyx_t_1) {
  
        /* "View.MemoryView":1155
   *        if (src_stride > 0 and dst_stride > 0 and
   *            <size_t> src_stride == itemsize == <size_t> dst_stride):
   *            memcpy(dst_data, src_data, itemsize * dst_extent)             # <<<<<<<<<<<<<<
   *        else:
   *            for i in range(dst_extent):
   */
        (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent)));
  
        /* "View.MemoryView":1153
   * 
   *     if ndim == 1:
   *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
   *            <size_t> src_stride == itemsize == <size_t> dst_stride):
   *            memcpy(dst_data, src_data, itemsize * dst_extent)
   */
        goto __pyx_L4;
      }
  
      /* "View.MemoryView":1157
   *            memcpy(dst_data, src_data, itemsize * dst_extent)
   *        else:
   *            for i in range(dst_extent):             # <<<<<<<<<<<<<<
   *                memcpy(dst_data, src_data, itemsize)
   *                src_data += src_stride
   */
      /*else*/ {
        __pyx_t_4 = __pyx_v_dst_extent;
        __pyx_t_5 = __pyx_t_4;
        for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
          __pyx_v_i = __pyx_t_6;
  
          /* "View.MemoryView":1158
   *        else:
   *            for i in range(dst_extent):
   *                memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
   *                src_data += src_stride
   *                dst_data += dst_stride
   */
          (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize));
  
          /* "View.MemoryView":1159
   *            for i in range(dst_extent):
   *                memcpy(dst_data, src_data, itemsize)
   *                src_data += src_stride             # <<<<<<<<<<<<<<
   *                dst_data += dst_stride
   *     else:
   */
          __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);
  
          /* "View.MemoryView":1160
   *                memcpy(dst_data, src_data, itemsize)
   *                src_data += src_stride
   *                dst_data += dst_stride             # <<<<<<<<<<<<<<
   *     else:
   *         for i in range(dst_extent):
   */
          __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
        }
      }
      __pyx_L4:;
  
      /* "View.MemoryView":1152
   *     cdef Py_ssize_t dst_stride = dst_strides[0]
   * 
   *     if ndim == 1:             # <<<<<<<<<<<<<<
   *        if (src_stride > 0 and dst_stride > 0 and
   *            <size_t> src_stride == itemsize == <size_t> dst_stride):
   */
      goto __pyx_L3;
    }
  
    /* "View.MemoryView":1162
   *                dst_data += dst_stride
   *     else:
   *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
   *             _copy_strided_to_strided(src_data, src_strides + 1,
   *                                      dst_data, dst_strides + 1,
   */
    /*else*/ {
      __pyx_t_4 = __pyx_v_dst_extent;
      __pyx_t_5 = __pyx_t_4;
      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_i = __pyx_t_6;
  
        /* "View.MemoryView":1163
   *     else:
   *         for i in range(dst_extent):
   *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
   *                                      dst_data, dst_strides + 1,
   *                                      src_shape + 1, dst_shape + 1,
   */
        _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);
  
        /* "View.MemoryView":1167
   *                                      src_shape + 1, dst_shape + 1,
   *                                      ndim - 1, itemsize)
   *             src_data += src_stride             # <<<<<<<<<<<<<<
   *             dst_data += dst_stride
   * 
   */
        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);
  
        /* "View.MemoryView":1168
   *                                      ndim - 1, itemsize)
   *             src_data += src_stride
   *             dst_data += dst_stride             # <<<<<<<<<<<<<<
   * 
   * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,
   */
        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
      }
    }
    __pyx_L3:;
  
    /* "View.MemoryView":1140
   * 
   * @cython.cdivision(True)
   * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
   *                                    char *dst_data, Py_ssize_t *dst_strides,
   *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
   */
  
    /* function exit code */
  }
  
  /* "View.MemoryView":1170
   *             dst_data += dst_stride
   * 
   * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
   *                                   __Pyx_memviewslice *dst,
   *                                   int ndim, size_t itemsize) nogil:
   */
  
  static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
  
    /* "View.MemoryView":1173
   *                                   __Pyx_memviewslice *dst,
   *                                   int ndim, size_t itemsize) nogil:
   *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
   *                              src.shape, dst.shape, ndim, itemsize)
   * 
   */
    _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);
  
    /* "View.MemoryView":1170
   *             dst_data += dst_stride
   * 
   * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
   *                                   __Pyx_memviewslice *dst,
   *                                   int ndim, size_t itemsize) nogil:
   */
  
    /* function exit code */
  }
  
  /* "View.MemoryView":1177
   * 
   * @cname('__pyx_memoryview_slice_get_size')
   * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
   *     "Return the size of the memory occupied by the slice in number of bytes"
   *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
   */
  
  static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {
    Py_ssize_t __pyx_v_shape;
    Py_ssize_t __pyx_v_size;
    Py_ssize_t __pyx_r;
    Py_ssize_t __pyx_t_1;
    Py_ssize_t *__pyx_t_2;
    Py_ssize_t *__pyx_t_3;
    Py_ssize_t *__pyx_t_4;
  
    /* "View.MemoryView":1179
   * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:
   *     "Return the size of the memory occupied by the slice in number of bytes"
   *     cdef Py_ssize_t shape, size = src.memview.view.itemsize             # <<<<<<<<<<<<<<
   * 
   *     for shape in src.shape[:ndim]:
   */
    __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
    __pyx_v_size = __pyx_t_1;
  
    /* "View.MemoryView":1181
   *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
   * 
   *     for shape in src.shape[:ndim]:             # <<<<<<<<<<<<<<
   *         size *= shape
   * 
   */
    __pyx_t_3 = (__pyx_v_src->shape + __pyx_v_ndim);
    for (__pyx_t_4 = __pyx_v_src->shape; __pyx_t_4 < __pyx_t_3; __pyx_t_4++) {
      __pyx_t_2 = __pyx_t_4;
      __pyx_v_shape = (__pyx_t_2[0]);
  
      /* "View.MemoryView":1182
   * 
   *     for shape in src.shape[:ndim]:
   *         size *= shape             # <<<<<<<<<<<<<<
   * 
   *     return size
   */
      __pyx_v_size = (__pyx_v_size * __pyx_v_shape);
    }
  
    /* "View.MemoryView":1184
   *         size *= shape
   * 
   *     return size             # <<<<<<<<<<<<<<
   * 
   * @cname('__pyx_fill_contig_strides_array')
   */
    __pyx_r = __pyx_v_size;
    goto __pyx_L0;
  
    /* "View.MemoryView":1177
   * 
   * @cname('__pyx_memoryview_slice_get_size')
   * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
   *     "Return the size of the memory occupied by the slice in number of bytes"
   *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "View.MemoryView":1187
   * 
   * @cname('__pyx_fill_contig_strides_array')
   * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
   *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
   *                 int ndim, char order) nogil:
   */
  
  static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, Py_ssize_t __pyx_v_stride, int __pyx_v_ndim, char __pyx_v_order) {
    int __pyx_v_idx;
    Py_ssize_t __pyx_r;
    int __pyx_t_1;
    int __pyx_t_2;
    int __pyx_t_3;
    int __pyx_t_4;
  
    /* "View.MemoryView":1196
   *     cdef int idx
   * 
   *     if order == 'F':             # <<<<<<<<<<<<<<
   *         for idx in range(ndim):
   *             strides[idx] = stride
   */
    __pyx_t_1 = ((__pyx_v_order == 'F') != 0);
    if (__pyx_t_1) {
  
      /* "View.MemoryView":1197
   * 
   *     if order == 'F':
   *         for idx in range(ndim):             # <<<<<<<<<<<<<<
   *             strides[idx] = stride
   *             stride *= shape[idx]
   */
      __pyx_t_2 = __pyx_v_ndim;
      __pyx_t_3 = __pyx_t_2;
      for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
        __pyx_v_idx = __pyx_t_4;
  
        /* "View.MemoryView":1198
   *     if order == 'F':
   *         for idx in range(ndim):
   *             strides[idx] = stride             # <<<<<<<<<<<<<<
   *             stride *= shape[idx]
   *     else:
   */
        (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;
  
        /* "View.MemoryView":1199
   *         for idx in range(ndim):
   *             strides[idx] = stride
   *             stride *= shape[idx]             # <<<<<<<<<<<<<<
   *     else:
   *         for idx in range(ndim - 1, -1, -1):
   */
        __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
      }
  
      /* "View.MemoryView":1196
   *     cdef int idx
   * 
   *     if order == 'F':             # <<<<<<<<<<<<<<
   *         for idx in range(ndim):
   *             strides[idx] = stride
   */
      goto __pyx_L3;
    }
  
    /* "View.MemoryView":1201
   *             stride *= shape[idx]
   *     else:
   *         for idx in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
   *             strides[idx] = stride
   *             stride *= shape[idx]
   */
    /*else*/ {
      for (__pyx_t_2 = (__pyx_v_ndim - 1); __pyx_t_2 > -1; __pyx_t_2-=1) {
        __pyx_v_idx = __pyx_t_2;
  
        /* "View.MemoryView":1202
   *     else:
   *         for idx in range(ndim - 1, -1, -1):
   *             strides[idx] = stride             # <<<<<<<<<<<<<<
   *             stride *= shape[idx]
   * 
   */
        (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;
  
        /* "View.MemoryView":1203
   *         for idx in range(ndim - 1, -1, -1):
   *             strides[idx] = stride
   *             stride *= shape[idx]             # <<<<<<<<<<<<<<
   * 
   *     return stride
   */
        __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
      }
    }
    __pyx_L3:;
  
    /* "View.MemoryView":1205
   *             stride *= shape[idx]
   * 
   *     return stride             # <<<<<<<<<<<<<<
   * 
   * @cname('__pyx_memoryview_copy_data_to_temp')
   */
    __pyx_r = __pyx_v_stride;
    goto __pyx_L0;
  
    /* "View.MemoryView":1187
   * 
   * @cname('__pyx_fill_contig_strides_array')
   * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
   *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
   *                 int ndim, char order) nogil:
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "View.MemoryView":1208
   * 
   * @cname('__pyx_memoryview_copy_data_to_temp')
   * cdef void *copy_data_to_temp(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
   *                              __Pyx_memviewslice *tmpslice,
   *                              char order,
   */
  
  static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_tmpslice, char __pyx_v_order, int __pyx_v_ndim) {
    int __pyx_v_i;
    void *__pyx_v_result;
    size_t __pyx_v_itemsize;
    size_t __pyx_v_size;
    void *__pyx_r;
    Py_ssize_t __pyx_t_1;
    int __pyx_t_2;
    int __pyx_t_3;
    struct __pyx_memoryview_obj *__pyx_t_4;
    int __pyx_t_5;
    int __pyx_t_6;
    int __pyx_lineno = 0;
    const char *__pyx_filename = NULL;
    int __pyx_clineno = 0;
  
    /* "View.MemoryView":1219
   *     cdef void *result
   * 
   *     cdef size_t itemsize = src.memview.view.itemsize             # <<<<<<<<<<<<<<
   *     cdef size_t size = slice_get_size(src, ndim)
   * 
   */
    __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
    __pyx_v_itemsize = __pyx_t_1;
  
    /* "View.MemoryView":1220
   * 
   *     cdef size_t itemsize = src.memview.view.itemsize
   *     cdef size_t size = slice_get_size(src, ndim)             # <<<<<<<<<<<<<<
   * 
   *     result = malloc(size)
   */
    __pyx_v_size = __pyx_memoryview_slice_get_size(__pyx_v_src, __pyx_v_ndim);
  
    /* "View.MemoryView":1222
   *     cdef size_t size = slice_get_size(src, ndim)
   * 
   *     result = malloc(size)             # <<<<<<<<<<<<<<
   *     if not result:
   *         _err(MemoryError, NULL)
   */
    __pyx_v_result = malloc(__pyx_v_size);
  
    /* "View.MemoryView":1223
   * 
   *     result = malloc(size)
   *     if not result:             # <<<<<<<<<<<<<<
   *         _err(MemoryError, NULL)
   * 
   */
    __pyx_t_2 = ((!(__pyx_v_result != 0)) != 0);
    if (__pyx_t_2) {
  
      /* "View.MemoryView":1224
   *     result = malloc(size)
   *     if not result:
   *         _err(MemoryError, NULL)             # <<<<<<<<<<<<<<
   * 
   * 
   */
      __pyx_t_3 = __pyx_memoryview_err(__pyx_builtin_MemoryError, NULL); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 1224, __pyx_L1_error)
  
      /* "View.MemoryView":1223
   * 
   *     result = malloc(size)
   *     if not result:             # <<<<<<<<<<<<<<
   *         _err(MemoryError, NULL)
   * 
   */
    }
  
    /* "View.MemoryView":1227
   * 
   * 
   *     tmpslice.data = <char *> result             # <<<<<<<<<<<<<<
   *     tmpslice.memview = src.memview
   *     for i in range(ndim):
   */
    __pyx_v_tmpslice->data = ((char *)__pyx_v_result);
  
    /* "View.MemoryView":1228
   * 
   *     tmpslice.data = <char *> result
   *     tmpslice.memview = src.memview             # <<<<<<<<<<<<<<
   *     for i in range(ndim):
   *         tmpslice.shape[i] = src.shape[i]
   */
    __pyx_t_4 = __pyx_v_src->memview;
    __pyx_v_tmpslice->memview = __pyx_t_4;
  
    /* "View.MemoryView":1229
   *     tmpslice.data = <char *> result
   *     tmpslice.memview = src.memview
   *     for i in range(ndim):             # <<<<<<<<<<<<<<
   *         tmpslice.shape[i] = src.shape[i]
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   *     cdef int i
   *     cdef char order = get_best_order(&src, src_ndim)
   *     cdef bint broadcasting = False             # <<<<<<<<<<<<<<
   *     cdef bint direct_copy = False
   *     cdef __Pyx_memviewslice tmp
   */
    __pyx_v_broadcasting = 0;
  
    /* "View.MemoryView":1281
   *     cdef char order = get_best_order(&src, src_ndim)
   *     cdef bint broadcasting = False
   *     cdef bint direct_copy = False             # <<<<<<<<<<<<<<
   *     cdef __Pyx_memviewslice tmp
   * 
   */
    __pyx_v_direct_copy = 0;
  
    /* "View.MemoryView":1284
   *     cdef __Pyx_memviewslice tmp
   * 
   *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
   *         broadcast_leading(&src, src_ndim, dst_ndim)
   *     elif dst_ndim < src_ndim:
   */
    __pyx_t_2 = ((__pyx_v_src_ndim < __pyx_v_dst_ndim) != 0);
    if (__pyx_t_2) {
  
      /* "View.MemoryView":1285
   * 
   *     if src_ndim < dst_ndim:
   *         broadcast_leading(&src, src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
   *     elif dst_ndim < src_ndim:
   *         broadcast_leading(&dst, dst_ndim, src_ndim)
   */
      __pyx_memoryview_broadcast_leading((&__pyx_v_src), __pyx_v_src_ndim, __pyx_v_dst_ndim);
  
      /* "View.MemoryView":1284
   *     cdef __Pyx_memviewslice tmp
   * 
   *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
   *         broadcast_leading(&src, src_ndim, dst_ndim)
   *     elif dst_ndim < src_ndim:
   */
      goto __pyx_L3;
    }
  
    /* "View.MemoryView":1286
   *     if src_ndim < dst_ndim:
   *         broadcast_leading(&src, src_ndim, dst_ndim)
   *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
   *         broadcast_leading(&dst, dst_ndim, src_ndim)
   * 
   */
    __pyx_t_2 = ((__pyx_v_dst_ndim < __pyx_v_src_ndim) != 0);
    if (__pyx_t_2) {
  
      /* "View.MemoryView":1287
   *         broadcast_leading(&src, src_ndim, dst_ndim)
   *     elif dst_ndim < src_ndim:
   *         broadcast_leading(&dst, dst_ndim, src_ndim)             # <<<<<<<<<<<<<<
   * 
   *     cdef int ndim = max(src_ndim, dst_ndim)
   */
      __pyx_memoryview_broadcast_leading((&__pyx_v_dst), __pyx_v_dst_ndim, __pyx_v_src_ndim);
  
      /* "View.MemoryView":1286
   *     if src_ndim < dst_ndim:
   *         broadcast_leading(&src, src_ndim, dst_ndim)
   *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
   *         broadcast_leading(&dst, dst_ndim, src_ndim)
   * 
   */
    }
    __pyx_L3:;
  
    /* "View.MemoryView":1289
   *         broadcast_leading(&dst, dst_ndim, src_ndim)
   * 
   *     cdef int ndim = max(src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
   * 
   *     for i in range(ndim):
   */
    __pyx_t_3 = __pyx_v_dst_ndim;
    __pyx_t_4 = __pyx_v_src_ndim;
    if (((__pyx_t_3 > __pyx_t_4) != 0)) {
      __pyx_t_5 = __pyx_t_3;
    } else {
      __pyx_t_5 = __pyx_t_4;
    }
    __pyx_v_ndim = __pyx_t_5;
  
    /* "View.MemoryView":1291
   *     cdef int ndim = max(src_ndim, dst_ndim)
   * 
   *     for i in range(ndim):             # <<<<<<<<<<<<<<
   *         if src.shape[i] != dst.shape[i]:
   *             if src.shape[i] == 1:
   */
    __pyx_t_5 = __pyx_v_ndim;
    __pyx_t_3 = __pyx_t_5;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_i = __pyx_t_4;
  
      /* "View.MemoryView":1292
   * 
   *     for i in range(ndim):
   *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
   *             if src.shape[i] == 1:
   *                 broadcasting = True
   */
      __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) != (__pyx_v_dst.shape[__pyx_v_i])) != 0);
      if (__pyx_t_2) {
  
        /* "View.MemoryView":1293
   *     for i in range(ndim):
   *         if src.shape[i] != dst.shape[i]:
   *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
   *                 broadcasting = True
   *                 src.strides[i] = 0
   */
        __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) == 1) != 0);
        if (__pyx_t_2) {
  
          /* "View.MemoryView":1294
   *         if src.shape[i] != dst.shape[i]:
   *             if src.shape[i] == 1:
   *                 broadcasting = True             # <<<<<<<<<<<<<<
   *                 src.strides[i] = 0
   *             else:
   */
          __pyx_v_broadcasting = 1;
  
          /* "View.MemoryView":1295
   *             if src.shape[i] == 1:
   *                 broadcasting = True
   *                 src.strides[i] = 0             # <<<<<<<<<<<<<<
   *             else:
   *                 _err_extents(i, dst.shape[i], src.shape[i])
   */
          (__pyx_v_src.strides[__pyx_v_i]) = 0;
  
          /* "View.MemoryView":1293
   *     for i in range(ndim):
   *         if src.shape[i] != dst.shape[i]:
   *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
   *                 broadcasting = True
   *                 src.strides[i] = 0
   */
          goto __pyx_L7;
        }
  
        /* "View.MemoryView":1297
   *                 src.strides[i] = 0
   *             else:
   *                 _err_extents(i, dst.shape[i], src.shape[i])             # <<<<<<<<<<<<<<
   * 
   *         if src.suboffsets[i] >= 0:
   */
        /*else*/ {
          __pyx_t_6 = __pyx_memoryview_err_extents(__pyx_v_i, (__pyx_v_dst.shape[__pyx_v_i]), (__pyx_v_src.shape[__pyx_v_i])); if (unlikely(__pyx_t_6 == ((int)-1))) __PYX_ERR(1, 1297, __pyx_L1_error)
        }
        __pyx_L7:;
  
        /* "View.MemoryView":1292
   * 
   *     for i in range(ndim):
   *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
   *             if src.shape[i] == 1:
   *                 broadcasting = True
   */
      }
  
      /* "View.MemoryView":1299
   *                 _err_extents(i, dst.shape[i], src.shape[i])
   * 
   *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
   *             _err_dim(ValueError, "Dimension %d is not direct", i)
   * 
   */
      __pyx_t_2 = (((__pyx_v_src.suboffsets[__pyx_v_i]) >= 0) != 0);
      if (__pyx_t_2) {
  
        /* "View.MemoryView":1300
   * 
   *         if src.suboffsets[i] >= 0:
   *             _err_dim(ValueError, "Dimension %d is not direct", i)             # <<<<<<<<<<<<<<
   * 
   *     if slices_overlap(&src, &dst, ndim, itemsize):
   */
        __pyx_t_6 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Dimension %d is not direct"), __pyx_v_i); if (unlikely(__pyx_t_6 == ((int)-1))) __PYX_ERR(1, 1300, __pyx_L1_error)
  
        /* "View.MemoryView":1299
   *                 _err_extents(i, dst.shape[i], src.shape[i])
   * 
   *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
   *             _err_dim(ValueError, "Dimension %d is not direct", i)
   * 
   */
      }
    }
  
    /* "View.MemoryView":1302
   *             _err_dim(ValueError, "Dimension %d is not direct", i)
   * 
   *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
   * 
   *         if not slice_is_contig(src, order, ndim):
   */
    __pyx_t_2 = (__pyx_slices_overlap((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize) != 0);
    if (__pyx_t_2) {
  
      /* "View.MemoryView":1304
   *     if slices_overlap(&src, &dst, ndim, itemsize):
   * 
   *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
   *             order = get_best_order(&dst, ndim)
   * 
   */
      __pyx_t_2 = ((!(__pyx_memviewslice_is_contig(__pyx_v_src, __pyx_v_order, __pyx_v_ndim) != 0)) != 0);
      if (__pyx_t_2) {
  
        /* "View.MemoryView":1305
   * 
   *         if not slice_is_contig(src, order, ndim):
   *             order = get_best_order(&dst, ndim)             # <<<<<<<<<<<<<<
   * 
   *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
   */
        __pyx_v_order = __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim);
  
        /* "View.MemoryView":1304
   *     if slices_overlap(&src, &dst, ndim, itemsize):
   * 
   *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
   *             order = get_best_order(&dst, ndim)
   * 
   */
      }
  
      /* "View.MemoryView":1307
   *             order = get_best_order(&dst, ndim)
   * 
   *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)             # <<<<<<<<<<<<<<
   *         src = tmp
   * 
   */
      __pyx_t_7 = __pyx_memoryview_copy_data_to_temp((&__pyx_v_src), (&__pyx_v_tmp), __pyx_v_order, __pyx_v_ndim); if (unlikely(__pyx_t_7 == ((void *)NULL))) __PYX_ERR(1, 1307, __pyx_L1_error)
      __pyx_v_tmpdata = __pyx_t_7;
  
      /* "View.MemoryView":1308
   * 
   *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
   *         src = tmp             # <<<<<<<<<<<<<<
   * 
   *     if not broadcasting:
   */
      __pyx_v_src = __pyx_v_tmp;
  
      /* "View.MemoryView":1302
   *             _err_dim(ValueError, "Dimension %d is not direct", i)
   * 
   *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
   * 
   *         if not slice_is_contig(src, order, ndim):
   */
    }
  
    /* "View.MemoryView":1310
   *         src = tmp
   * 
   *     if not broadcasting:             # <<<<<<<<<<<<<<
   * 
   * 
   */
    __pyx_t_2 = ((!(__pyx_v_broadcasting != 0)) != 0);
    if (__pyx_t_2) {
  
      /* "View.MemoryView":1313
   * 
   * 
   *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
   *             direct_copy = slice_is_contig(dst, 'C', ndim)
   *         elif slice_is_contig(src, 'F', ndim):
   */
      __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'C', __pyx_v_ndim) != 0);
      if (__pyx_t_2) {
  
        /* "View.MemoryView":1314
   * 
   *         if slice_is_contig(src, 'C', ndim):
   *             direct_copy = slice_is_contig(dst, 'C', ndim)             # <<<<<<<<<<<<<<
   *         elif slice_is_contig(src, 'F', ndim):
   *             direct_copy = slice_is_contig(dst, 'F', ndim)
   */
        __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'C', __pyx_v_ndim);
  
        /* "View.MemoryView":1313
   * 
   * 
   *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
   *             direct_copy = slice_is_contig(dst, 'C', ndim)
   *         elif slice_is_contig(src, 'F', ndim):
   */
        goto __pyx_L12;
      }
  
      /* "View.MemoryView":1315
   *         if slice_is_contig(src, 'C', ndim):
   *             direct_copy = slice_is_contig(dst, 'C', ndim)
   *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
   *             direct_copy = slice_is_contig(dst, 'F', ndim)
   * 
   */
      __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'F', __pyx_v_ndim) != 0);
      if (__pyx_t_2) {
  
        /* "View.MemoryView":1316
   *             direct_copy = slice_is_contig(dst, 'C', ndim)
   *         elif slice_is_contig(src, 'F', ndim):
   *             direct_copy = slice_is_contig(dst, 'F', ndim)             # <<<<<<<<<<<<<<
   * 
   *         if direct_copy:
   */
        __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'F', __pyx_v_ndim);
  
        /* "View.MemoryView":1315
   *         if slice_is_contig(src, 'C', ndim):
   *             direct_copy = slice_is_contig(dst, 'C', ndim)
   *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
   *             direct_copy = slice_is_contig(dst, 'F', ndim)
   * 
   */
      }
      __pyx_L12:;
  
      /* "View.MemoryView":1318
   *             direct_copy = slice_is_contig(dst, 'F', ndim)
   * 
   *         if direct_copy:             # <<<<<<<<<<<<<<
   * 
   *             refcount_copying(&dst, dtype_is_object, ndim, False)
   */
      __pyx_t_2 = (__pyx_v_direct_copy != 0);
      if (__pyx_t_2) {
  
        /* "View.MemoryView":1320
   *         if direct_copy:
   * 
   *             refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
   *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
   *             refcount_copying(&dst, dtype_is_object, ndim, True)
   */
        __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);
  
        /* "View.MemoryView":1321
   * 
   *             refcount_copying(&dst, dtype_is_object, ndim, False)
   *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))             # <<<<<<<<<<<<<<
   *             refcount_copying(&dst, dtype_is_object, ndim, True)
   *             free(tmpdata)
   */
        (void)(memcpy(__pyx_v_dst.data, __pyx_v_src.data, __pyx_memoryview_slice_get_size((&__pyx_v_src), __pyx_v_ndim)));
  
        /* "View.MemoryView":1322
   *             refcount_copying(&dst, dtype_is_object, ndim, False)
   *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
   *             refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
   *             free(tmpdata)
   *             return 0
   */
        __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);
  
        /* "View.MemoryView":1323
   *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
   *             refcount_copying(&dst, dtype_is_object, ndim, True)
   *             free(tmpdata)             # <<<<<<<<<<<<<<
   *             return 0
   * 
   */
        free(__pyx_v_tmpdata);
  
        /* "View.MemoryView":1324
   *             refcount_copying(&dst, dtype_is_object, ndim, True)
   *             free(tmpdata)
   *             return 0             # <<<<<<<<<<<<<<
   * 
   *     if order == 'F' == get_best_order(&dst, ndim):
   */
        __pyx_r = 0;
        goto __pyx_L0;
  
        /* "View.MemoryView":1318
   *             direct_copy = slice_is_contig(dst, 'F', ndim)
   * 
   *         if direct_copy:             # <<<<<<<<<<<<<<
   * 
   *             refcount_copying(&dst, dtype_is_object, ndim, False)
   */
      }
  
      /* "View.MemoryView":1310
   *         src = tmp
   * 
   *     if not broadcasting:             # <<<<<<<<<<<<<<
   * 
   * 
   */
    }
  
    /* "View.MemoryView":1326
   *             return 0
   * 
   *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
   * 
   * 
   */
    __pyx_t_2 = (__pyx_v_order == 'F');
    if (__pyx_t_2) {
      __pyx_t_2 = ('F' == __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim));
    }
    __pyx_t_8 = (__pyx_t_2 != 0);
    if (__pyx_t_8) {
  
      /* "View.MemoryView":1329
   * 
   * 
   *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
   *         transpose_memslice(&dst)
   * 
   */
      __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_src)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(1, 1329, __pyx_L1_error)
  
      /* "View.MemoryView":1330
   * 
   *         transpose_memslice(&src)
   *         transpose_memslice(&dst)             # <<<<<<<<<<<<<<
   * 
   *     refcount_copying(&dst, dtype_is_object, ndim, False)
   */
      __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_dst)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(1, 1330, __pyx_L1_error)
  
      /* "View.MemoryView":1326
   *             return 0
   * 
   *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
   * 
   * 
   */
    }
  
    /* "View.MemoryView":1332
   *         transpose_memslice(&dst)
   * 
   *     refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
   *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
   *     refcount_copying(&dst, dtype_is_object, ndim, True)
   */
    __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);
  
    /* "View.MemoryView":1333
   * 
   *     refcount_copying(&dst, dtype_is_object, ndim, False)
   *     copy_strided_to_strided(&src, &dst, ndim, itemsize)             # <<<<<<<<<<<<<<
   *     refcount_copying(&dst, dtype_is_object, ndim, True)
   * 
   */
    copy_strided_to_strided((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize);
  
    /* "View.MemoryView":1334
   *     refcount_copying(&dst, dtype_is_object, ndim, False)
   *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
   *     refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
   * 
   *     free(tmpdata)
   */
    __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);
  
    /* "View.MemoryView":1336
   *     refcount_copying(&dst, dtype_is_object, ndim, True)
   * 
   *     free(tmpdata)             # <<<<<<<<<<<<<<
   *     return 0
   * 
   */
    free(__pyx_v_tmpdata);
  
    /* "View.MemoryView":1337
   * 
   *     free(tmpdata)
   *     return 0             # <<<<<<<<<<<<<<
   * 
   * @cname('__pyx_memoryview_broadcast_leading')
   */
    __pyx_r = 0;
    goto __pyx_L0;
  
    /* "View.MemoryView":1268
   * 
   * @cname('__pyx_memoryview_copy_contents')
   * cdef int memoryview_copy_contents(__Pyx_memviewslice src,             # <<<<<<<<<<<<<<
   *                                   __Pyx_memviewslice dst,
   *                                   int src_ndim, int dst_ndim,
   */
  
    /* function exit code */
    __pyx_L1_error:;
    {
      #ifdef WITH_THREAD
      PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
      #endif
      __Pyx_AddTraceback("View.MemoryView.memoryview_copy_contents", __pyx_clineno, __pyx_lineno, __pyx_filename);
      #ifdef WITH_THREAD
      __Pyx_PyGILState_Release(__pyx_gilstate_save);
      #endif
    }
    __pyx_r = -1;
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "View.MemoryView":1340
   * 
   * @cname('__pyx_memoryview_broadcast_leading')
   * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
   *                             int ndim,
   *                             int ndim_other) nogil:
   */
  
  static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim, int __pyx_v_ndim_other) {
    int __pyx_v_i;
    int __pyx_v_offset;
    int __pyx_t_1;
    int __pyx_t_2;
    int __pyx_t_3;
  
    /* "View.MemoryView":1344
   *                             int ndim_other) nogil:
   *     cdef int i
   *     cdef int offset = ndim_other - ndim             # <<<<<<<<<<<<<<
   * 
   *     for i in range(ndim - 1, -1, -1):
   */
    __pyx_v_offset = (__pyx_v_ndim_other - __pyx_v_ndim);
  
    /* "View.MemoryView":1346
   *     cdef int offset = ndim_other - ndim
   * 
   *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
   *         mslice.shape[i + offset] = mslice.shape[i]
   *         mslice.strides[i + offset] = mslice.strides[i]
   */
    for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1; __pyx_t_1-=1) {
      __pyx_v_i = __pyx_t_1;
  
      /* "View.MemoryView":1347
   * 
   *     for i in range(ndim - 1, -1, -1):
   *         mslice.shape[i + offset] = mslice.shape[i]             # <<<<<<<<<<<<<<
   *         mslice.strides[i + offset] = mslice.strides[i]
   *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
   */
      (__pyx_v_mslice->shape[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->shape[__pyx_v_i]);
  
      /* "View.MemoryView":1348
   *     for i in range(ndim - 1, -1, -1):
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    /* "View.MemoryView":1411
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    /* "View.MemoryView":1412
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    #if PY_MAJOR_VERSION < 3
    0, /*tp_compare*/
    #endif
    #if PY_MAJOR_VERSION >= 3
    0, /*tp_as_async*/
    #endif
    0, /*tp_repr*/
    0, /*tp_as_number*/
    0, /*tp_as_sequence*/
    0, /*tp_as_mapping*/
    0, /*tp_hash*/
    0, /*tp_call*/
    0, /*tp_str*/
    0, /*tp_getattro*/
    0, /*tp_setattro*/
    0, /*tp_as_buffer*/
    Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
    0, /*tp_doc*/
    0, /*tp_traverse*/
    0, /*tp_clear*/
    0, /*tp_richcompare*/
    0, /*tp_weaklistoffset*/
    0, /*tp_iter*/
    0, /*tp_iternext*/
    __pyx_methods_3P4J_10algorithms_13string_length_LKSL, /*tp_methods*/
    0, /*tp_members*/
    0, /*tp_getset*/
    0, /*tp_base*/
    0, /*tp_dict*/
    0, /*tp_descr_get*/
    0, /*tp_descr_set*/
    0, /*tp_dictoffset*/
    __pyx_pw_3P4J_10algorithms_13string_length_4LKSL_1__init__, /*tp_init*/
    0, /*tp_alloc*/
    __pyx_tp_new_3P4J_10algorithms_13string_length_LKSL, /*tp_new*/
    0, /*tp_free*/
    0, /*tp_is_gc*/
    0, /*tp_bases*/
    0, /*tp_mro*/
    0, /*tp_cache*/
    0, /*tp_subclasses*/
    0, /*tp_weaklist*/
    0, /*tp_del*/
    0, /*tp_version_tag*/
    #if PY_VERSION_HEX >= 0x030400a1
    0, /*tp_finalize*/
    #endif
    #if PY_VERSION_HEX >= 0x030800b1
    0, /*tp_vectorcall*/
    #endif
    #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0, /*tp_print*/
    #endif
  };
  static struct __pyx_vtabstruct_array __pyx_vtable_array;
  
  static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k) {
    struct __pyx_array_obj *p;
    PyObject *o;
    if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
      o = (*t->tp_alloc)(t, 0);
    } else {
      o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
    }
    if (unlikely(!o)) return 0;
    p = ((struct __pyx_array_obj *)o);
    p->__pyx_vtab = __pyx_vtabptr_array;
    p->mode = ((PyObject*)Py_None); Py_INCREF(Py_None);
    p->_format = ((PyObject*)Py_None); Py_INCREF(Py_None);
    if (unlikely(__pyx_array___cinit__(o, a, k) < 0)) goto bad;
    return o;
    bad:
    Py_DECREF(o); o = 0;
    return NULL;
  }
  
  static void __pyx_tp_dealloc_array(PyObject *o) {
    struct __pyx_array_obj *p = (struct __pyx_array_obj *)o;
    #if CYTHON_USE_TP_FINALIZE
    if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
    #endif
    {
      PyObject *etype, *eval, *etb;
      PyErr_Fetch(&etype, &eval, &etb);
      __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
      __pyx_array___dealloc__(o);
      __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
      PyErr_Restore(etype, eval, etb);
    }
    Py_CLEAR(p->mode);
    Py_CLEAR(p->_format);
    (*Py_TYPE(o)->tp_free)(o);
  }
  static PyObject *__pyx_sq_item_array(PyObject *o, Py_ssize_t i) {
    PyObject *r;
    PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
    r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
    Py_DECREF(x);
    return r;
  }
  
  static int __pyx_mp_ass_subscript_array(PyObject *o, PyObject *i, PyObject *v) {
    if (v) {
      return __pyx_array___setitem__(o, i, v);
    }
    else {
      PyErr_Format(PyExc_NotImplementedError,
        "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
      return -1;
    }
  }
  
  static PyObject *__pyx_tp_getattro_array(PyObject *o, PyObject *n) {
    PyObject *v = __Pyx_PyObject_GenericGetAttr(o, n);
    if (!v && PyErr_ExceptionMatches(PyExc_AttributeError)) {
      PyErr_Clear();
      v = __pyx_array___getattr__(o, n);
    }
    return v;
  }
  
  static PyObject *__pyx_getprop___pyx_array_memview(PyObject *o, CYTHON_UNUSED void *x) {
    return __pyx_pw_15View_dot_MemoryView_5array_7memview_1__get__(o);
  }
  
  static PyMethodDef __pyx_methods_array[] = {
    {"__getattr__", (PyCFunction)__pyx_array___getattr__, METH_O|METH_COEXIST, 0},
    {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_array_1__reduce_cython__, METH_NOARGS, 0},
    {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_array_3__setstate_cython__, METH_O, 0},
    {0, 0, 0, 0}
  };
  
  static struct PyGetSetDef __pyx_getsets_array[] = {
    {(char *)"memview", __pyx_getprop___pyx_array_memview, 0, (char *)0, 0},
    {0, 0, 0, 0, 0}
  };
  
  static PySequenceMethods __pyx_tp_as_sequence_array = {
    __pyx_array___len__, /*sq_length*/
    0, /*sq_concat*/
    0, /*sq_repeat*/
    __pyx_sq_item_array, /*sq_item*/
    0, /*sq_slice*/
    0, /*sq_ass_item*/
    0, /*sq_ass_slice*/
    0, /*sq_contains*/
    0, /*sq_inplace_concat*/
    0, /*sq_inplace_repeat*/
  };
  
  static PyMappingMethods __pyx_tp_as_mapping_array = {
    __pyx_array___len__, /*mp_length*/
    __pyx_array___getitem__, /*mp_subscript*/
    __pyx_mp_ass_subscript_array, /*mp_ass_subscript*/
  };
  
  static PyBufferProcs __pyx_tp_as_buffer_array = {
    #if PY_MAJOR_VERSION < 3
    0, /*bf_getreadbuffer*/
    #endif
    #if PY_MAJOR_VERSION < 3
    0, /*bf_getwritebuffer*/
    #endif
    #if PY_MAJOR_VERSION < 3
    0, /*bf_getsegcount*/
    #endif
    #if PY_MAJOR_VERSION < 3
    0, /*bf_getcharbuffer*/
    #endif
    __pyx_array_getbuffer, /*bf_getbuffer*/
    0, /*bf_releasebuffer*/
  };
  
  static PyTypeObject __pyx_type___pyx_array = {
    PyVarObject_HEAD_INIT(0, 0)
    "P4J.algorithms.string_length.array", /*tp_name*/
    sizeof(struct __pyx_array_obj), /*tp_basicsize*/
    0, /*tp_itemsize*/
    __pyx_tp_dealloc_array, /*tp_dealloc*/
    #if PY_VERSION_HEX < 0x030800b4
    0, /*tp_print*/
    #endif
    #if PY_VERSION_HEX >= 0x030800b4
    0, /*tp_vectorcall_offset*/
    #endif
    0, /*tp_getattr*/
    0, /*tp_setattr*/
    #if PY_MAJOR_VERSION < 3
    0, /*tp_compare*/
    #endif
    #if PY_MAJOR_VERSION >= 3
    0, /*tp_as_async*/
    #endif
    0, /*tp_repr*/
    0, /*tp_as_number*/
    &__pyx_tp_as_sequence_array, /*tp_as_sequence*/
    &__pyx_tp_as_mapping_array, /*tp_as_mapping*/
    0, /*tp_hash*/
    0, /*tp_call*/
    0, /*tp_str*/
    __pyx_tp_getattro_array, /*tp_getattro*/
    0, /*tp_setattro*/
    &__pyx_tp_as_buffer_array, /*tp_as_buffer*/
    Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
    0, /*tp_doc*/
    0, /*tp_traverse*/
    0, /*tp_clear*/
    0, /*tp_richcompare*/
    0, /*tp_weaklistoffset*/
    0, /*tp_iter*/
    0, /*tp_iternext*/
    __pyx_methods_array, /*tp_methods*/
    0, /*tp_members*/
    __pyx_getsets_array, /*tp_getset*/
    0, /*tp_base*/
    0, /*tp_dict*/
    0, /*tp_descr_get*/
    0, /*tp_descr_set*/
    0, /*tp_dictoffset*/
    0, /*tp_init*/
    0, /*tp_alloc*/
    __pyx_tp_new_array, /*tp_new*/
    0, /*tp_free*/
    0, /*tp_is_gc*/
    0, /*tp_bases*/
    0, /*tp_mro*/
    0, /*tp_cache*/
    0, /*tp_subclasses*/
    0, /*tp_weaklist*/
    0, /*tp_del*/
    0, /*tp_version_tag*/
    #if PY_VERSION_HEX >= 0x030400a1
    0, /*tp_finalize*/
    #endif
    #if PY_VERSION_HEX >= 0x030800b1
    0, /*tp_vectorcall*/
    #endif
    #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0, /*tp_print*/
    #endif
  };
  
  static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
    struct __pyx_MemviewEnum_obj *p;
    PyObject *o;
    if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
      o = (*t->tp_alloc)(t, 0);
    } else {
      o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
    }
    if (unlikely(!o)) return 0;
    p = ((struct __pyx_MemviewEnum_obj *)o);
    p->name = Py_None; Py_INCREF(Py_None);
    return o;
  }
  
  static void __pyx_tp_dealloc_Enum(PyObject *o) {
    struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
    #if CYTHON_USE_TP_FINALIZE
    if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
    #endif
    PyObject_GC_UnTrack(o);
    Py_CLEAR(p->name);
    (*Py_TYPE(o)->tp_free)(o);
  }
  
  static int __pyx_tp_traverse_Enum(PyObject *o, visitproc v, void *a) {
    int e;
    struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
    if (p->name) {
      e = (*v)(p->name, a); if (e) return e;
    }
    return 0;
  }
  
  static int __pyx_tp_clear_Enum(PyObject *o) {
    PyObject* tmp;
    struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
    tmp = ((PyObject*)p->name);
    p->name = Py_None; Py_INCREF(Py_None);
    Py_XDECREF(tmp);
    return 0;
  }
  
  static PyMethodDef __pyx_methods_Enum[] = {
    {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_1__reduce_cython__, METH_NOARGS, 0},
    {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_3__setstate_cython__, METH_O, 0},
    {0, 0, 0, 0}
  };
  
  static PyTypeObject __pyx_type___pyx_MemviewEnum = {
    PyVarObject_HEAD_INIT(0, 0)
    "P4J.algorithms.string_length.Enum", /*tp_name*/
    sizeof(struct __pyx_MemviewEnum_obj), /*tp_basicsize*/
    0, /*tp_itemsize*/
    __pyx_tp_dealloc_Enum, /*tp_dealloc*/
    #if PY_VERSION_HEX < 0x030800b4
    0, /*tp_print*/
    #endif
    #if PY_VERSION_HEX >= 0x030800b4
    0, /*tp_vectorcall_offset*/
    #endif
    0, /*tp_getattr*/
    0, /*tp_setattr*/
    #if PY_MAJOR_VERSION < 3
    0, /*tp_compare*/
    #endif
    #if PY_MAJOR_VERSION >= 3
    0, /*tp_as_async*/
    #endif
    __pyx_MemviewEnum___repr__, /*tp_repr*/
    0, /*tp_as_number*/
    0, /*tp_as_sequence*/
    0, /*tp_as_mapping*/
    0, /*tp_hash*/
    0, /*tp_call*/
    0, /*tp_str*/
    0, /*tp_getattro*/
    0, /*tp_setattro*/
    0, /*tp_as_buffer*/
    Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
    0, /*tp_doc*/
    __pyx_tp_traverse_Enum, /*tp_traverse*/
    __pyx_tp_clear_Enum, /*tp_clear*/
    0, /*tp_richcompare*/
    0, /*tp_weaklistoffset*/
    0, /*tp_iter*/
    0, /*tp_iternext*/
    __pyx_methods_Enum, /*tp_methods*/
    0, /*tp_members*/
    0, /*tp_getset*/
    0, /*tp_base*/
    0, /*tp_dict*/
    0, /*tp_descr_get*/
    0, /*tp_descr_set*/
    0, /*tp_dictoffset*/
    __pyx_MemviewEnum___init__, /*tp_init*/
    0, /*tp_alloc*/
    __pyx_tp_new_Enum, /*tp_new*/
    0, /*tp_free*/
    0, /*tp_is_gc*/
    0, /*tp_bases*/
    0, /*tp_mro*/
    0, /*tp_cache*/
    0, /*tp_subclasses*/
    0, /*tp_weaklist*/
    0, /*tp_del*/
    0, /*tp_version_tag*/
    #if PY_VERSION_HEX >= 0x030400a1
    0, /*tp_finalize*/
    #endif
    #if PY_VERSION_HEX >= 0x030800b1
    0, /*tp_vectorcall*/
    #endif
    #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0, /*tp_print*/
    #endif
  };
  static struct __pyx_vtabstruct_memoryview __pyx_vtable_memoryview;
  
  static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k) {
    struct __pyx_memoryview_obj *p;
    PyObject *o;
    if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
      o = (*t->tp_alloc)(t, 0);
    } else {
      o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
    }
    if (unlikely(!o)) return 0;
    p = ((struct __pyx_memoryview_obj *)o);
    p->__pyx_vtab = __pyx_vtabptr_memoryview;
    p->obj = Py_None; Py_INCREF(Py_None);
    p->_size = Py_None; Py_INCREF(Py_None);
    p->_array_interface = Py_None; Py_INCREF(Py_None);
    p->view.obj = NULL;
    if (unlikely(__pyx_memoryview___cinit__(o, a, k) < 0)) goto bad;
    return o;
    bad:
    Py_DECREF(o); o = 0;
    return NULL;
  }
  
  static void __pyx_tp_dealloc_memoryview(PyObject *o) {
    struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
    #if CYTHON_USE_TP_FINALIZE
    if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
    #endif
    PyObject_GC_UnTrack(o);
    {
      PyObject *etype, *eval, *etb;
      PyErr_Fetch(&etype, &eval, &etb);
      __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
      __pyx_memoryview___dealloc__(o);
      __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
      PyErr_Restore(etype, eval, etb);
    }
    Py_CLEAR(p->obj);
    Py_CLEAR(p->_size);
    Py_CLEAR(p->_array_interface);
    (*Py_TYPE(o)->tp_free)(o);
  }
  
  static int __pyx_tp_traverse_memoryview(PyObject *o, visitproc v, void *a) {
    int e;
    struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
    if (p->obj) {
      e = (*v)(p->obj, a); if (e) return e;
    }
    if (p->_size) {
      e = (*v)(p->_size, a); if (e) return e;
    }
    if (p->_array_interface) {
      e = (*v)(p->_array_interface, a); if (e) return e;
    }
    if (p->view.obj) {
      e = (*v)(p->view.obj, a); if (e) return e;
    }
    return 0;
  }
  
  static int __pyx_tp_clear_memoryview(PyObject *o) {
    PyObject* tmp;
    struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
    tmp = ((PyObject*)p->obj);
    p->obj = Py_None; Py_INCREF(Py_None);
    Py_XDECREF(tmp);
    tmp = ((PyObject*)p->_size);
    p->_size = Py_None; Py_INCREF(Py_None);
    Py_XDECREF(tmp);
    tmp = ((PyObject*)p->_array_interface);
    p->_array_interface = Py_None; Py_INCREF(Py_None);
    Py_XDECREF(tmp);
    Py_CLEAR(p->view.obj);
    return 0;
  }
  static PyObject *__pyx_sq_item_memoryview(PyObject *o, Py_ssize_t i) {
    PyObject *r;
    PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
    r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
    Py_DECREF(x);
    return r;
  }
  
  static int __pyx_mp_ass_subscript_memoryview(PyObject *o, PyObject *i, PyObject *v) {
    if (v) {
      return __pyx_memoryview___setitem__(o, i, v);
    }
    else {
      PyErr_Format(PyExc_NotImplementedError,
        "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
      return -1;
    }
  }
  
  static PyObject *__pyx_getprop___pyx_memoryview_T(PyObject *o, CYTHON_UNUSED void *x) {
    return __pyx_pw_15View_dot_MemoryView_10memoryview_1T_1__get__(o);
  }
  
  static PyObject *__pyx_getprop___pyx_memoryview_base(PyObject *o, CYTHON_UNUSED void *x) {
    return __pyx_pw_15View_dot_MemoryView_10memoryview_4base_1__get__(o);
  }
  
  static PyObject *__pyx_getprop___pyx_memoryview_shape(PyObject *o, CYTHON_UNUSED void *x) {
    return __pyx_pw_15View_dot_MemoryView_10memoryview_5shape_1__get__(o);
  }
  
  static PyObject *__pyx_getprop___pyx_memoryview_strides(PyObject *o, CYTHON_UNUSED void *x) {
    return __pyx_pw_15View_dot_MemoryView_10memoryview_7strides_1__get__(o);
  }
  
  static PyObject *__pyx_getprop___pyx_memoryview_suboffsets(PyObject *o, CYTHON_UNUSED void *x) {
    return __pyx_pw_15View_dot_MemoryView_10memoryview_10suboffsets_1__get__(o);
  }
  
  static PyObject *__pyx_getprop___pyx_memoryview_ndim(PyObject *o, CYTHON_UNUSED void *x) {
    return __pyx_pw_15View_dot_MemoryView_10memoryview_4ndim_1__get__(o);
  }
  
  static PyObject *__pyx_getprop___pyx_memoryview_itemsize(PyObject *o, CYTHON_UNUSED void *x) {
    return __pyx_pw_15View_dot_MemoryView_10memoryview_8itemsize_1__get__(o);
  }
  
  static PyObject *__pyx_getprop___pyx_memoryview_nbytes(PyObject *o, CYTHON_UNUSED void *x) {
    return __pyx_pw_15View_dot_MemoryView_10memoryview_6nbytes_1__get__(o);
  }
  
  static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {
    return __pyx_pw_15View_dot_MemoryView_10memoryview_4size_1__get__(o);
  }
  
  static PyMethodDef __pyx_methods_memoryview[] = {
    {"is_c_contig", (PyCFunction)__pyx_memoryview_is_c_contig, METH_NOARGS, 0},
    {"is_f_contig", (PyCFunction)__pyx_memoryview_is_f_contig, METH_NOARGS, 0},
    {"copy", (PyCFunction)__pyx_memoryview_copy, METH_NOARGS, 0},
    {"copy_fortran", (PyCFunction)__pyx_memoryview_copy_fortran, METH_NOARGS, 0},
    {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_1__reduce_cython__, METH_NOARGS, 0},
    {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_3__setstate_cython__, METH_O, 0},
    {0, 0, 0, 0}
  };
  
  static struct PyGetSetDef __pyx_getsets_memoryview[] = {
    {(char *)"T", __pyx_getprop___pyx_memoryview_T, 0, (char *)0, 0},
    {(char *)"base", __pyx_getprop___pyx_memoryview_base, 0, (char *)0, 0},
    {(char *)"shape", __pyx_getprop___pyx_memoryview_shape, 0, (char *)0, 0},
    {(char *)"strides", __pyx_getprop___pyx_memoryview_strides, 0, (char *)0, 0},
    {(char *)"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, (char *)0, 0},
    {(char *)"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, (char *)0, 0},
    {(char *)"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, (char *)0, 0},
    {(char *)"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, (char *)0, 0},
    {(char *)"size", __pyx_getprop___pyx_memoryview_size, 0, (char *)0, 0},
    {0, 0, 0, 0, 0}
  };
  
  static PySequenceMethods __pyx_tp_as_sequence_memoryview = {
    __pyx_memoryview___len__, /*sq_length*/
    0, /*sq_concat*/
    0, /*sq_repeat*/
    __pyx_sq_item_memoryview, /*sq_item*/
    0, /*sq_slice*/
    0, /*sq_ass_item*/
    0, /*sq_ass_slice*/
    0, /*sq_contains*/
    0, /*sq_inplace_concat*/
    0, /*sq_inplace_repeat*/
  };
  
  static PyMappingMethods __pyx_tp_as_mapping_memoryview = {
    __pyx_memoryview___len__, /*mp_length*/
    __pyx_memoryview___getitem__, /*mp_subscript*/
    __pyx_mp_ass_subscript_memoryview, /*mp_ass_subscript*/
  };
  
  static PyBufferProcs __pyx_tp_as_buffer_memoryview = {
    #if PY_MAJOR_VERSION < 3
    0, /*bf_getreadbuffer*/
    #endif
    #if PY_MAJOR_VERSION < 3
    0, /*bf_getwritebuffer*/
    #endif
    #if PY_MAJOR_VERSION < 3
    0, /*bf_getsegcount*/
    #endif
    #if PY_MAJOR_VERSION < 3
    0, /*bf_getcharbuffer*/
    #endif
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    0, /*tp_itemsize*/
    __pyx_tp_dealloc_memoryview, /*tp_dealloc*/
    #if PY_VERSION_HEX < 0x030800b4
    0, /*tp_print*/
    #endif
    #if PY_VERSION_HEX >= 0x030800b4
    0, /*tp_vectorcall_offset*/
    #endif
    0, /*tp_getattr*/
    0, /*tp_setattr*/
    #if PY_MAJOR_VERSION < 3
    0, /*tp_compare*/
    #endif
    #if PY_MAJOR_VERSION >= 3
    0, /*tp_as_async*/
    #endif
    __pyx_memoryview___repr__, /*tp_repr*/
    0, /*tp_as_number*/
    &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/
    &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/
    0, /*tp_hash*/
    0, /*tp_call*/
    __pyx_memoryview___str__, /*tp_str*/
    0, /*tp_getattro*/
    0, /*tp_setattro*/
    &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/
    Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
    0, /*tp_doc*/
    __pyx_tp_traverse_memoryview, /*tp_traverse*/
    __pyx_tp_clear_memoryview, /*tp_clear*/
    0, /*tp_richcompare*/
    0, /*tp_weaklistoffset*/
    0, /*tp_iter*/
    0, /*tp_iternext*/
    __pyx_methods_memoryview, /*tp_methods*/
    0, /*tp_members*/
    __pyx_getsets_memoryview, /*tp_getset*/
    0, /*tp_base*/
    0, /*tp_dict*/
    0, /*tp_descr_get*/
    0, /*tp_descr_set*/
    0, /*tp_dictoffset*/
    0, /*tp_init*/
    0, /*tp_alloc*/
    __pyx_tp_new_memoryview, /*tp_new*/
    0, /*tp_free*/
    0, /*tp_is_gc*/
    0, /*tp_bases*/
    0, /*tp_mro*/
    0, /*tp_cache*/
    0, /*tp_subclasses*/
    0, /*tp_weaklist*/
    0, /*tp_del*/
    0, /*tp_version_tag*/
    #if PY_VERSION_HEX >= 0x030400a1
    0, /*tp_finalize*/
    #endif
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    0, /*tp_vectorcall*/
    #endif
    #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0, /*tp_print*/
    #endif
  };
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  static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k) {
    struct __pyx_memoryviewslice_obj *p;
    PyObject *o = __pyx_tp_new_memoryview(t, a, k);
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    return o;
  }
  
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    if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
    #endif
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    {
      PyObject *etype, *eval, *etb;
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      __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
      __pyx_memoryviewslice___dealloc__(o);
      __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
      PyErr_Restore(etype, eval, etb);
    }
    Py_CLEAR(p->from_object);
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    __pyx_tp_dealloc_memoryview(o);
  }
  
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    }
    return 0;
  }
  
  static int __pyx_tp_clear__memoryviewslice(PyObject *o) {
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    Py_XDECREF(tmp);
    __PYX_XDEC_MEMVIEW(&p->from_slice, 1);
    return 0;
  }
  
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  }
  
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  };
  
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  static PyTypeObject __pyx_type___pyx_memoryviewslice = {
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    0, /*tp_itemsize*/
    __pyx_tp_dealloc__memoryviewslice, /*tp_dealloc*/
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    0, /*tp_print*/
    #endif
    #if PY_VERSION_HEX >= 0x030800b4
    0, /*tp_vectorcall_offset*/
    #endif
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    0, /*tp_setattr*/
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    #if PY_MAJOR_VERSION >= 3
    0, /*tp_as_async*/
    #endif
    #if CYTHON_COMPILING_IN_PYPY
    __pyx_memoryview___repr__, /*tp_repr*/
    #else
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    #endif
    0, /*tp_as_number*/
    0, /*tp_as_sequence*/
    0, /*tp_as_mapping*/
    0, /*tp_hash*/
    0, /*tp_call*/
    #if CYTHON_COMPILING_IN_PYPY
    __pyx_memoryview___str__, /*tp_str*/
    #else
    0, /*tp_str*/
    #endif
    0, /*tp_getattro*/
    0, /*tp_setattro*/
    0, /*tp_as_buffer*/
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    __pyx_tp_clear__memoryviewslice, /*tp_clear*/
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    0, /*tp_iternext*/
    __pyx_methods__memoryviewslice, /*tp_methods*/
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    __pyx_getsets__memoryviewslice, /*tp_getset*/
    0, /*tp_base*/
    0, /*tp_dict*/
    0, /*tp_descr_get*/
    0, /*tp_descr_set*/
    0, /*tp_dictoffset*/
    0, /*tp_init*/
    0, /*tp_alloc*/
    __pyx_tp_new__memoryviewslice, /*tp_new*/
    0, /*tp_free*/
    0, /*tp_is_gc*/
    0, /*tp_bases*/
    0, /*tp_mro*/
    0, /*tp_cache*/
    0, /*tp_subclasses*/
    0, /*tp_weaklist*/
    0, /*tp_del*/
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    0, /*tp_finalize*/
    #endif
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    0, /*tp_vectorcall*/
    #endif
    #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0, /*tp_print*/
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   * cdef PyThread_type_lock[THREAD_LOCKS_PREALLOCATED] __pyx_memoryview_thread_locks = [             # <<<<<<<<<<<<<<
   *     PyThread_allocate_lock(),
   *     PyThread_allocate_lock(),
   */
    __pyx_t_2[0] = PyThread_allocate_lock();
    __pyx_t_2[1] = PyThread_allocate_lock();
    __pyx_t_2[2] = PyThread_allocate_lock();
    __pyx_t_2[3] = PyThread_allocate_lock();
    __pyx_t_2[4] = PyThread_allocate_lock();
    __pyx_t_2[5] = PyThread_allocate_lock();
    __pyx_t_2[6] = PyThread_allocate_lock();
    __pyx_t_2[7] = PyThread_allocate_lock();
    memcpy(&(__pyx_memoryview_thread_locks[0]), __pyx_t_2, sizeof(__pyx_memoryview_thread_locks[0]) * (8));
  
    /* "View.MemoryView":549
   *         info.obj = self
   * 
   *     __pyx_getbuffer = capsule(<void *> &__pyx_memoryview_getbuffer, "getbuffer(obj, view, flags)")             # <<<<<<<<<<<<<<
   * 
   * 
   */
    __pyx_t_1 = __pyx_capsule_create(((void *)(&__pyx_memoryview_getbuffer)), ((char *)"getbuffer(obj, view, flags)")); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 549, __pyx_L1_error)
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    /* "View.MemoryView":995
   *         return self.from_object
   * 
   *     __pyx_getbuffer = capsule(<void *> &__pyx_memoryview_getbuffer, "getbuffer(obj, view, flags)")             # <<<<<<<<<<<<<<
   * 
   * 
   */
    __pyx_t_1 = __pyx_capsule_create(((void *)(&__pyx_memoryview_getbuffer)), ((char *)"getbuffer(obj, view, flags)")); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 995, __pyx_L1_error)
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    /* "(tree fragment)":1
   * def __pyx_unpickle_Enum(__pyx_type, long __pyx_checksum, __pyx_state):             # <<<<<<<<<<<<<<
   *     cdef object __pyx_PickleError
   *     cdef object __pyx_result
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    __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_15View_dot_MemoryView_1__pyx_unpickle_Enum, NULL, __pyx_n_s_View_MemoryView); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 1, __pyx_L1_error)
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    /* "(tree fragment)":11
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   *     return __pyx_result
   * cdef __pyx_unpickle_Enum__set_state(Enum __pyx_result, tuple __pyx_state):             # <<<<<<<<<<<<<<
   *     __pyx_result.name = __pyx_state[0]
   *     if len(__pyx_state) > 1 and hasattr(__pyx_result, '__dict__'):
   */
  
    /*--- Wrapped vars code ---*/
  
    goto __pyx_L0;
    __pyx_L1_error:;
    __Pyx_XDECREF(__pyx_t_1);
    if (__pyx_m) {
      if (__pyx_d) {
        __Pyx_AddTraceback("init P4J.algorithms.string_length", __pyx_clineno, __pyx_lineno, __pyx_filename);
      }
      Py_CLEAR(__pyx_m);
    } else if (!PyErr_Occurred()) {
      PyErr_SetString(PyExc_ImportError, "init P4J.algorithms.string_length");
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    #if CYTHON_PEP489_MULTI_PHASE_INIT
    return (__pyx_m != NULL) ? 0 : -1;
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    return __pyx_m;
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    return;
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  /* --- Runtime support code --- */
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  #if CYTHON_REFNANNY
  static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
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      p = PyObject_GetAttrString(m, "RefNannyAPI");
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      Py_XDECREF(p);
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      return (__Pyx_RefNannyAPIStruct *)r;
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  /* PyObjectGetAttrStr */
  #if CYTHON_USE_TYPE_SLOTS
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
      PyTypeObject* tp = Py_TYPE(obj);
      if (likely(tp->tp_getattro))
          return tp->tp_getattro(obj, attr_name);
  #if PY_MAJOR_VERSION < 3
      if (likely(tp->tp_getattr))
          return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
  #endif
      return PyObject_GetAttr(obj, attr_name);
  }
  #endif
  
  /* GetBuiltinName */
  static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
      PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
      if (unlikely(!result)) {
          PyErr_Format(PyExc_NameError,
  #if PY_MAJOR_VERSION >= 3
              "name '%U' is not defined", name);
  #else
              "name '%.200s' is not defined", PyString_AS_STRING(name));
  #endif
      }
      return result;
  }
  
  /* RaiseArgTupleInvalid */
  static void __Pyx_RaiseArgtupleInvalid(
      const char* func_name,
      int exact,
      Py_ssize_t num_min,
      Py_ssize_t num_max,
      Py_ssize_t num_found)
  {
      Py_ssize_t num_expected;
      const char *more_or_less;
      if (num_found < num_min) {
          num_expected = num_min;
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      } else {
          num_expected = num_max;
          more_or_less = "at most";
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      if (exact) {
          more_or_less = "exactly";
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      PyErr_Format(PyExc_TypeError,
                   "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                   func_name, more_or_less, num_expected,
                   (num_expected == 1) ? "" : "s", num_found);
  }
  
  /* RaiseDoubleKeywords */
  static void __Pyx_RaiseDoubleKeywordsError(
      const char* func_name,
      PyObject* kw_name)
  {
      PyErr_Format(PyExc_TypeError,
          #if PY_MAJOR_VERSION >= 3
          "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
          #else
          "%s() got multiple values for keyword argument '%s'", func_name,
          PyString_AsString(kw_name));
          #endif
  }
  
  /* ParseKeywords */
  static int __Pyx_ParseOptionalKeywords(
      PyObject *kwds,
      PyObject **argnames[],
      PyObject *kwds2,
      PyObject *values[],
      Py_ssize_t num_pos_args,
      const char* function_name)
  {
      PyObject *key = 0, *value = 0;
      Py_ssize_t pos = 0;
      PyObject*** name;
      PyObject*** first_kw_arg = argnames + num_pos_args;
      while (PyDict_Next(kwds, &pos, &key, &value)) {
          name = first_kw_arg;
          while (*name && (**name != key)) name++;
          if (*name) {
              values[name-argnames] = value;
              continue;
          }
          name = first_kw_arg;
          #if PY_MAJOR_VERSION < 3
          if (likely(PyString_Check(key))) {
              while (*name) {
                  if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                          && _PyString_Eq(**name, key)) {
                      values[name-argnames] = value;
                      break;
                  }
                  name++;
              }
              if (*name) continue;
              else {
                  PyObject*** argname = argnames;
                  while (argname != first_kw_arg) {
                      if ((**argname == key) || (
                              (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                               && _PyString_Eq(**argname, key))) {
                          goto arg_passed_twice;
                      }
                      argname++;
                  }
              }
          } else
          #endif
          if (likely(PyUnicode_Check(key))) {
              while (*name) {
                  int cmp = (**name == key) ? 0 :
                  #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                      (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                  #endif
                      PyUnicode_Compare(**name, key);
                  if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                  if (cmp == 0) {
                      values[name-argnames] = value;
                      break;
                  }
                  name++;
              }
              if (*name) continue;
              else {
                  PyObject*** argname = argnames;
                  while (argname != first_kw_arg) {
                      int cmp = (**argname == key) ? 0 :
                      #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                          (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                      #endif
                          PyUnicode_Compare(**argname, key);
                      if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                      if (cmp == 0) goto arg_passed_twice;
                      argname++;
                  }
              }
          } else
              goto invalid_keyword_type;
          if (kwds2) {
              if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
          } else {
              goto invalid_keyword;
          }
      }
      return 0;
  arg_passed_twice:
      __Pyx_RaiseDoubleKeywordsError(function_name, key);
      goto bad;
  invalid_keyword_type:
      PyErr_Format(PyExc_TypeError,
          "%.200s() keywords must be strings", function_name);
      goto bad;
  invalid_keyword:
      PyErr_Format(PyExc_TypeError,
      #if PY_MAJOR_VERSION < 3
          "%.200s() got an unexpected keyword argument '%.200s'",
          function_name, PyString_AsString(key));
      #else
          "%s() got an unexpected keyword argument '%U'",
          function_name, key);
      #endif
  bad:
      return -1;
  }
  
  /* MemviewSliceInit */
  static int
  __Pyx_init_memviewslice(struct __pyx_memoryview_obj *memview,
                          int ndim,
                          __Pyx_memviewslice *memviewslice,
                          int memview_is_new_reference)
  {
      __Pyx_RefNannyDeclarations
      int i, retval=-1;
      Py_buffer *buf = &memview->view;
      __Pyx_RefNannySetupContext("init_memviewslice", 0);
      if (unlikely(memviewslice->memview || memviewslice->data)) {
          PyErr_SetString(PyExc_ValueError,
              "memviewslice is already initialized!");
          goto fail;
      }
      if (buf->strides) {
          for (i = 0; i < ndim; i++) {
              memviewslice->strides[i] = buf->strides[i];
          }
      } else {
          Py_ssize_t stride = buf->itemsize;
          for (i = ndim - 1; i >= 0; i--) {
              memviewslice->strides[i] = stride;
              stride *= buf->shape[i];
          }
      }
      for (i = 0; i < ndim; i++) {
          memviewslice->shape[i]   = buf->shape[i];
          if (buf->suboffsets) {
              memviewslice->suboffsets[i] = buf->suboffsets[i];
          } else {
              memviewslice->suboffsets[i] = -1;
          }
      }
      memviewslice->memview = memview;
      memviewslice->data = (char *)buf->buf;
      if (__pyx_add_acquisition_count(memview) == 0 && !memview_is_new_reference) {
          Py_INCREF(memview);
      }
      retval = 0;
      goto no_fail;
  fail:
      memviewslice->memview = 0;
      memviewslice->data = 0;
      retval = -1;
  no_fail:
      __Pyx_RefNannyFinishContext();
      return retval;
  }
  #ifndef Py_NO_RETURN
  #define Py_NO_RETURN
  #endif
  static void __pyx_fatalerror(const char *fmt, ...) Py_NO_RETURN {
      va_list vargs;
      char msg[200];
  #ifdef HAVE_STDARG_PROTOTYPES
      va_start(vargs, fmt);
  #else
      va_start(vargs);
  #endif
      vsnprintf(msg, 200, fmt, vargs);
      va_end(vargs);
      Py_FatalError(msg);
  }
  static CYTHON_INLINE int
  __pyx_add_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                     PyThread_type_lock lock)
  {
      int result;
      PyThread_acquire_lock(lock, 1);
      result = (*acquisition_count)++;
      PyThread_release_lock(lock);
      return result;
  }
  static CYTHON_INLINE int
  __pyx_sub_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                     PyThread_type_lock lock)
  {
      int result;
      PyThread_acquire_lock(lock, 1);
      result = (*acquisition_count)--;
      PyThread_release_lock(lock);
      return result;
  }
  static CYTHON_INLINE void
  __Pyx_INC_MEMVIEW(__Pyx_memviewslice *memslice, int have_gil, int lineno)
  {
      int first_time;
      struct __pyx_memoryview_obj *memview = memslice->memview;
      if (unlikely(!memview || (PyObject *) memview == Py_None))
          return;
      if (unlikely(__pyx_get_slice_count(memview) < 0))
          __pyx_fatalerror("Acquisition count is %d (line %d)",
                           __pyx_get_slice_count(memview), lineno);
      first_time = __pyx_add_acquisition_count(memview) == 0;
      if (unlikely(first_time)) {
          if (have_gil) {
              Py_INCREF((PyObject *) memview);
          } else {
              PyGILState_STATE _gilstate = PyGILState_Ensure();
              Py_INCREF((PyObject *) memview);
              PyGILState_Release(_gilstate);
          }
      }
  }
  static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *memslice,
                                               int have_gil, int lineno) {
      int last_time;
      struct __pyx_memoryview_obj *memview = memslice->memview;
      if (unlikely(!memview || (PyObject *) memview == Py_None)) {
          memslice->memview = NULL;
          return;
      }
      if (unlikely(__pyx_get_slice_count(memview) <= 0))
          __pyx_fatalerror("Acquisition count is %d (line %d)",
                           __pyx_get_slice_count(memview), lineno);
      last_time = __pyx_sub_acquisition_count(memview) == 1;
      memslice->data = NULL;
      if (unlikely(last_time)) {
          if (have_gil) {
              Py_CLEAR(memslice->memview);
          } else {
              PyGILState_STATE _gilstate = PyGILState_Ensure();
              Py_CLEAR(memslice->memview);
              PyGILState_Release(_gilstate);
          }
      } else {
          memslice->memview = NULL;
      }
  }
  
  /* PyObjectCall */
  #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
  
  /* PyErrFetchRestore */
  #if CYTHON_FAST_THREAD_STATE
  static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
      PyObject *tmp_type, *tmp_value, *tmp_tb;
      tmp_type = tstate->curexc_type;
      tmp_value = tstate->curexc_value;
      tmp_tb = tstate->curexc_traceback;
      tstate->curexc_type = type;
      tstate->curexc_value = value;
      tstate->curexc_traceback = tb;
      Py_XDECREF(tmp_type);
      Py_XDECREF(tmp_value);
      Py_XDECREF(tmp_tb);
  }
  static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
      *type = tstate->curexc_type;
      *value = tstate->curexc_value;
      *tb = tstate->curexc_traceback;
      tstate->curexc_type = 0;
      tstate->curexc_value = 0;
      tstate->curexc_traceback = 0;
  }
  #endif
  
  /* RaiseException */
  #if PY_MAJOR_VERSION < 3
  static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
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      __Pyx_PyThreadState_declare
      Py_XINCREF(type);
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          value = NULL;
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          Py_INCREF(value);
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      else {
          Py_INCREF(tb);
          if (!PyTraceBack_Check(tb)) {
              PyErr_SetString(PyExc_TypeError,
                  "raise: arg 3 must be a traceback or None");
              goto raise_error;
          }
      }
      if (PyType_Check(type)) {
  #if CYTHON_COMPILING_IN_PYPY
          if (!value) {
              Py_INCREF(Py_None);
              value = Py_None;
          }
  #endif
          PyErr_NormalizeException(&type, &value, &tb);
      } else {
          if (value) {
              PyErr_SetString(PyExc_TypeError,
                  "instance exception may not have a separate value");
              goto raise_error;
          }
          value = type;
          type = (PyObject*) Py_TYPE(type);
          Py_INCREF(type);
          if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
              PyErr_SetString(PyExc_TypeError,
                  "raise: exception class must be a subclass of BaseException");
              goto raise_error;
          }
      }
      __Pyx_PyThreadState_assign
      __Pyx_ErrRestore(type, value, tb);
      return;
  raise_error:
      Py_XDECREF(value);
      Py_XDECREF(type);
      Py_XDECREF(tb);
      return;
  }
  #else
  static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
      PyObject* owned_instance = NULL;
      if (tb == Py_None) {
          tb = 0;
      } else if (tb && !PyTraceBack_Check(tb)) {
          PyErr_SetString(PyExc_TypeError,
              "raise: arg 3 must be a traceback or None");
          goto bad;
      }
      if (value == Py_None)
          value = 0;
      if (PyExceptionInstance_Check(type)) {
          if (value) {
              PyErr_SetString(PyExc_TypeError,
                  "instance exception may not have a separate value");
              goto bad;
          }
          value = type;
          type = (PyObject*) Py_TYPE(value);
      } else if (PyExceptionClass_Check(type)) {
          PyObject *instance_class = NULL;
          if (value && PyExceptionInstance_Check(value)) {
              instance_class = (PyObject*) Py_TYPE(value);
              if (instance_class != type) {
                  int is_subclass = PyObject_IsSubclass(instance_class, type);
                  if (!is_subclass) {
                      instance_class = NULL;
                  } else if (unlikely(is_subclass == -1)) {
                      goto bad;
                  } else {
                      type = instance_class;
                  }
              }
          }
          if (!instance_class) {
              PyObject *args;
              if (!value)
                  args = PyTuple_New(0);
              else if (PyTuple_Check(value)) {
                  Py_INCREF(value);
                  args = value;
              } else
                  args = PyTuple_Pack(1, value);
              if (!args)
                  goto bad;
              owned_instance = PyObject_Call(type, args, NULL);
              Py_DECREF(args);
              if (!owned_instance)
                  goto bad;
              value = owned_instance;
              if (!PyExceptionInstance_Check(value)) {
                  PyErr_Format(PyExc_TypeError,
                               "calling %R should have returned an instance of "
                               "BaseException, not %R",
                               type, Py_TYPE(value));
                  goto bad;
              }
          }
      } else {
          PyErr_SetString(PyExc_TypeError,
              "raise: exception class must be a subclass of BaseException");
          goto bad;
      }
      if (cause) {
          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 = __Pyx_PyThreadState_Current;
          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
  
  /* ArgTypeTest */
  static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
  {
      if (unlikely(!type)) {
          PyErr_SetString(PyExc_SystemError, "Missing type object");
          return 0;
      }
      else if (exact) {
          #if PY_MAJOR_VERSION == 2
          if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
          #endif
      }
      else {
          if (likely(__Pyx_TypeCheck(obj, type))) return 1;
      }
      PyErr_Format(PyExc_TypeError,
          "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
          name, type->tp_name, Py_TYPE(obj)->tp_name);
      return 0;
  }
  
  /* PyCFunctionFastCall */
  #if CYTHON_FAST_PYCCALL
  static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
      PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
      PyCFunction meth = PyCFunction_GET_FUNCTION(func);
      PyObject *self = PyCFunction_GET_SELF(func);
      int flags = PyCFunction_GET_FLAGS(func);
      assert(PyCFunction_Check(func));
      assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
      assert(nargs >= 0);
      assert(nargs == 0 || args != NULL);
      /* _PyCFunction_FastCallDict() must not be called with an exception set,
         because it may clear it (directly or indirectly) and so the
         caller loses its exception */
      assert(!PyErr_Occurred());
      if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
          return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL);
      } else {
          return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs);
      }
  }
  #endif
  
  /* PyFunctionFastCall */
  #if CYTHON_FAST_PYCALL
  static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                                 PyObject *globals) {
      PyFrameObject *f;
      PyThreadState *tstate = __Pyx_PyThreadState_Current;
      PyObject **fastlocals;
      Py_ssize_t i;
      PyObject *result;
      assert(globals != NULL);
      /* XXX Perhaps we should create a specialized
         PyFrame_New() that doesn't take locals, but does
         take builtins without sanity checking them.
         */
      assert(tstate != NULL);
      f = PyFrame_New(tstate, co, globals, NULL);
      if (f == NULL) {
          return NULL;
      }
      fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
      for (i = 0; i < na; i++) {
          Py_INCREF(*args);
          fastlocals[i] = *args++;
      }
      result = PyEval_EvalFrameEx(f,0);
      ++tstate->recursion_depth;
      Py_DECREF(f);
      --tstate->recursion_depth;
      return result;
  }
  #if 1 || PY_VERSION_HEX < 0x030600B1
  static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
      PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
      PyObject *globals = PyFunction_GET_GLOBALS(func);
      PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
      PyObject *closure;
  #if PY_MAJOR_VERSION >= 3
      PyObject *kwdefs;
  #endif
      PyObject *kwtuple, **k;
      PyObject **d;
      Py_ssize_t nd;
      Py_ssize_t nk;
      PyObject *result;
      assert(kwargs == NULL || PyDict_Check(kwargs));
      nk = kwargs ? PyDict_Size(kwargs) : 0;
      if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
          return NULL;
      }
      if (
  #if PY_MAJOR_VERSION >= 3
              co->co_kwonlyargcount == 0 &&
  #endif
              likely(kwargs == NULL || nk == 0) &&
              co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
          if (argdefs == NULL && co->co_argcount == nargs) {
              result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
              goto done;
          }
          else if (nargs == 0 && argdefs != NULL
                   && co->co_argcount == Py_SIZE(argdefs)) {
              /* function called with no arguments, but all parameters have
                 a default value: use default values as arguments .*/
              args = &PyTuple_GET_ITEM(argdefs, 0);
              result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
              goto done;
          }
      }
      if (kwargs != NULL) {
          Py_ssize_t pos, i;
          kwtuple = PyTuple_New(2 * nk);
          if (kwtuple == NULL) {
              result = NULL;
              goto done;
          }
          k = &PyTuple_GET_ITEM(kwtuple, 0);
          pos = i = 0;
          while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
              Py_INCREF(k[i]);
              Py_INCREF(k[i+1]);
              i += 2;
          }
          nk = i / 2;
      }
      else {
          kwtuple = NULL;
          k = NULL;
      }
      closure = PyFunction_GET_CLOSURE(func);
  #if PY_MAJOR_VERSION >= 3
      kwdefs = PyFunction_GET_KW_DEFAULTS(func);
  #endif
      if (argdefs != NULL) {
          d = &PyTuple_GET_ITEM(argdefs, 0);
          nd = Py_SIZE(argdefs);
      }
      else {
          d = NULL;
          nd = 0;
      }
  #if PY_MAJOR_VERSION >= 3
      result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                                 args, (int)nargs,
                                 k, (int)nk,
                                 d, (int)nd, kwdefs, closure);
  #else
      result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                                 args, (int)nargs,
                                 k, (int)nk,
                                 d, (int)nd, closure);
  #endif
      Py_XDECREF(kwtuple);
  done:
      Py_LeaveRecursiveCall();
      return result;
  }
  #endif
  #endif
  
  /* PyObjectCall2Args */
  static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
      PyObject *args, *result = NULL;
      #if CYTHON_FAST_PYCALL
      if (PyFunction_Check(function)) {
          PyObject *args[2] = {arg1, arg2};
          return __Pyx_PyFunction_FastCall(function, args, 2);
      }
      #endif
      #if CYTHON_FAST_PYCCALL
      if (__Pyx_PyFastCFunction_Check(function)) {
          PyObject *args[2] = {arg1, arg2};
          return __Pyx_PyCFunction_FastCall(function, args, 2);
      }
      #endif
      args = PyTuple_New(2);
      if (unlikely(!args)) goto done;
      Py_INCREF(arg1);
      PyTuple_SET_ITEM(args, 0, arg1);
      Py_INCREF(arg2);
      PyTuple_SET_ITEM(args, 1, arg2);
      Py_INCREF(function);
      result = __Pyx_PyObject_Call(function, args, NULL);
      Py_DECREF(args);
      Py_DECREF(function);
  done:
      return result;
  }
  
  /* PyObjectCallMethO */
  #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
  
  /* PyObjectCallOneArg */
  #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) {
  #if CYTHON_FAST_PYCALL
      if (PyFunction_Check(func)) {
          return __Pyx_PyFunction_FastCall(func, &arg, 1);
      }
  #endif
      if (likely(PyCFunction_Check(func))) {
          if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
              return __Pyx_PyObject_CallMethO(func, arg);
  #if CYTHON_FAST_PYCCALL
          } else if (__Pyx_PyFastCFunction_Check(func)) {
              return __Pyx_PyCFunction_FastCall(func, &arg, 1);
  #endif
          }
      }
      return __Pyx__PyObject_CallOneArg(func, arg);
  }
  #else
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
      PyObject *result;
      PyObject *args = PyTuple_Pack(1, arg);
      if (unlikely(!args)) return NULL;
      result = __Pyx_PyObject_Call(func, args, NULL);
      Py_DECREF(args);
      return result;
  }
  #endif
  
  /* BytesEquals */
  static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
  #if CYTHON_COMPILING_IN_PYPY
      return PyObject_RichCompareBool(s1, s2, equals);
  #else
      if (s1 == s2) {
          return (equals == Py_EQ);
      } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
          const char *ps1, *ps2;
          Py_ssize_t length = PyBytes_GET_SIZE(s1);
          if (length != PyBytes_GET_SIZE(s2))
              return (equals == Py_NE);
          ps1 = PyBytes_AS_STRING(s1);
          ps2 = PyBytes_AS_STRING(s2);
          if (ps1[0] != ps2[0]) {
              return (equals == Py_NE);
          } else if (length == 1) {
              return (equals == Py_EQ);
          } else {
              int result;
  #if CYTHON_USE_UNICODE_INTERNALS
              Py_hash_t hash1, hash2;
              hash1 = ((PyBytesObject*)s1)->ob_shash;
              hash2 = ((PyBytesObject*)s2)->ob_shash;
              if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                  return (equals == Py_NE);
              }
  #endif
              result = memcmp(ps1, ps2, (size_t)length);
              return (equals == Py_EQ) ? (result == 0) : (result != 0);
          }
      } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
          return (equals == Py_NE);
      } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
          return (equals == Py_NE);
      } else {
          int result;
          PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
          if (!py_result)
              return -1;
          result = __Pyx_PyObject_IsTrue(py_result);
          Py_DECREF(py_result);
          return result;
      }
  #endif
  }
  
  /* UnicodeEquals */
  static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
  #if CYTHON_COMPILING_IN_PYPY
      return PyObject_RichCompareBool(s1, s2, equals);
  #else
  #if PY_MAJOR_VERSION < 3
      PyObject* owned_ref = NULL;
  #endif
      int s1_is_unicode, s2_is_unicode;
      if (s1 == s2) {
          goto return_eq;
      }
      s1_is_unicode = PyUnicode_CheckExact(s1);
      s2_is_unicode = PyUnicode_CheckExact(s2);
  #if PY_MAJOR_VERSION < 3
      if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
          owned_ref = PyUnicode_FromObject(s2);
          if (unlikely(!owned_ref))
              return -1;
          s2 = owned_ref;
          s2_is_unicode = 1;
      } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
          owned_ref = PyUnicode_FromObject(s1);
          if (unlikely(!owned_ref))
              return -1;
          s1 = owned_ref;
          s1_is_unicode = 1;
      } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
          return __Pyx_PyBytes_Equals(s1, s2, equals);
      }
  #endif
      if (s1_is_unicode & s2_is_unicode) {
          Py_ssize_t length;
          int kind;
          void *data1, *data2;
          if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
              return -1;
          length = __Pyx_PyUnicode_GET_LENGTH(s1);
          if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
              goto return_ne;
          }
  #if CYTHON_USE_UNICODE_INTERNALS
          {
              Py_hash_t hash1, hash2;
          #if CYTHON_PEP393_ENABLED
              hash1 = ((PyASCIIObject*)s1)->hash;
              hash2 = ((PyASCIIObject*)s2)->hash;
          #else
              hash1 = ((PyUnicodeObject*)s1)->hash;
              hash2 = ((PyUnicodeObject*)s2)->hash;
          #endif
              if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                  goto return_ne;
              }
          }
  #endif
          kind = __Pyx_PyUnicode_KIND(s1);
          if (kind != __Pyx_PyUnicode_KIND(s2)) {
              goto return_ne;
          }
          data1 = __Pyx_PyUnicode_DATA(s1);
          data2 = __Pyx_PyUnicode_DATA(s2);
          if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
              goto return_ne;
          } else if (length == 1) {
              goto return_eq;
          } else {
              int result = memcmp(data1, data2, (size_t)(length * kind));
              #if PY_MAJOR_VERSION < 3
              Py_XDECREF(owned_ref);
              #endif
              return (equals == Py_EQ) ? (result == 0) : (result != 0);
          }
      } else if ((s1 == Py_None) & s2_is_unicode) {
          goto return_ne;
      } else if ((s2 == Py_None) & s1_is_unicode) {
          goto return_ne;
      } else {
          int result;
          PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
          #if PY_MAJOR_VERSION < 3
          Py_XDECREF(owned_ref);
          #endif
          if (!py_result)
              return -1;
          result = __Pyx_PyObject_IsTrue(py_result);
          Py_DECREF(py_result);
          return result;
      }
  return_eq:
      #if PY_MAJOR_VERSION < 3
      Py_XDECREF(owned_ref);
      #endif
      return (equals == Py_EQ);
  return_ne:
      #if PY_MAJOR_VERSION < 3
      Py_XDECREF(owned_ref);
      #endif
      return (equals == Py_NE);
  #endif
  }
  
  /* GetAttr */
  static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
  #if CYTHON_USE_TYPE_SLOTS
  #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);
  }
  
  /* GetItemInt */
  static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
      PyObject *r;
      if (!j) return NULL;
      r = PyObject_GetItem(o, j);
      Py_DECREF(j);
      return r;
  }
  static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                                CYTHON_NCP_UNUSED int wraparound,
                                                                CYTHON_NCP_UNUSED int boundscheck) {
  #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      Py_ssize_t wrapped_i = i;
      if (wraparound & unlikely(i < 0)) {
          wrapped_i += PyList_GET_SIZE(o);
      }
      if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
          PyObject *r = PyList_GET_ITEM(o, wrapped_i);
          Py_INCREF(r);
          return r;
      }
      return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
  #else
      return PySequence_GetItem(o, i);
  #endif
  }
  static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                                CYTHON_NCP_UNUSED int wraparound,
                                                                CYTHON_NCP_UNUSED int boundscheck) {
  #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      Py_ssize_t wrapped_i = i;
      if (wraparound & unlikely(i < 0)) {
          wrapped_i += PyTuple_GET_SIZE(o);
      }
      if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
          PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
          Py_INCREF(r);
          return r;
      }
      return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
  #else
      return PySequence_GetItem(o, i);
  #endif
  }
  static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                       CYTHON_NCP_UNUSED int wraparound,
                                                       CYTHON_NCP_UNUSED int boundscheck) {
  #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
      if (is_list || PyList_CheckExact(o)) {
          Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
          if ((!boundscheck) || (likely(__Pyx_is_valid_index(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(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
              PyObject *r = PyTuple_GET_ITEM(o, n);
              Py_INCREF(r);
              return r;
          }
      } else {
          PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
          if (likely(m && m->sq_item)) {
              if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                  Py_ssize_t l = m->sq_length(o);
                  if (likely(l >= 0)) {
                      i += l;
                  } else {
                      if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                          return NULL;
                      PyErr_Clear();
                  }
              }
              return m->sq_item(o, i);
          }
      }
  #else
      if (is_list || PySequence_Check(o)) {
          return PySequence_GetItem(o, i);
      }
  #endif
      return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
  }
  
  /* ObjectGetItem */
  #if CYTHON_USE_TYPE_SLOTS
  static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
      PyObject *runerr;
      Py_ssize_t key_value;
      PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
      if (unlikely(!(m && m->sq_item))) {
          PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
          return NULL;
      }
      key_value = __Pyx_PyIndex_AsSsize_t(index);
      if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
          return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
      }
      if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
          PyErr_Clear();
          PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
      }
      return NULL;
  }
  static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
      PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
      if (likely(m && m->mp_subscript)) {
          return m->mp_subscript(obj, key);
      }
      return __Pyx_PyObject_GetIndex(obj, key);
  }
  #endif
  
  /* decode_c_string */
  static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
           const char* cstring, Py_ssize_t start, Py_ssize_t stop,
           const char* encoding, const char* errors,
           PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
      Py_ssize_t length;
      if (unlikely((start < 0) | (stop < 0))) {
          size_t slen = strlen(cstring);
          if (unlikely(slen > (size_t) PY_SSIZE_T_MAX)) {
              PyErr_SetString(PyExc_OverflowError,
                              "c-string too long to convert to Python");
              return NULL;
          }
          length = (Py_ssize_t) slen;
          if (start < 0) {
              start += length;
              if (start < 0)
                  start = 0;
          }
          if (stop < 0)
              stop += length;
      }
      if (unlikely(stop <= start))
          return __Pyx_NewRef(__pyx_empty_unicode);
      length = stop - start;
      cstring += start;
      if (decode_func) {
          return decode_func(cstring, length, errors);
      } else {
          return PyUnicode_Decode(cstring, length, encoding, errors);
      }
  }
  
  /* PyErrExceptionMatches */
  #if CYTHON_FAST_THREAD_STATE
  static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
      Py_ssize_t i, n;
      n = PyTuple_GET_SIZE(tuple);
  #if PY_MAJOR_VERSION >= 3
      for (i=0; i<n; i++) {
          if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
      }
  #endif
      for (i=0; i<n; i++) {
          if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
      }
      return 0;
  }
  static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
      PyObject *exc_type = tstate->curexc_type;
      if (exc_type == err) return 1;
      if (unlikely(!exc_type)) return 0;
      if (unlikely(PyTuple_Check(err)))
          return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
      return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
  }
  #endif
  
  /* GetAttr3 */
  static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
      __Pyx_PyThreadState_declare
      __Pyx_PyThreadState_assign
      if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
          return NULL;
      __Pyx_PyErr_Clear();
      Py_INCREF(d);
      return d;
  }
  static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
      PyObject *r = __Pyx_GetAttr(o, n);
      return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
  }
  
  /* PyDictVersioning */
  #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
  static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
      PyObject *dict = Py_TYPE(obj)->tp_dict;
      return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
  }
  static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
      PyObject **dictptr = NULL;
      Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
      if (offset) {
  #if CYTHON_COMPILING_IN_CPYTHON
          dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
  #else
          dictptr = _PyObject_GetDictPtr(obj);
  #endif
      }
      return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
  }
  static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
      PyObject *dict = Py_TYPE(obj)->tp_dict;
      if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
          return 0;
      return obj_dict_version == __Pyx_get_object_dict_version(obj);
  }
  #endif
  
  /* GetModuleGlobalName */
  #if CYTHON_USE_DICT_VERSIONS
  static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
  #else
  static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
  #endif
  {
      PyObject *result;
  #if !CYTHON_AVOID_BORROWED_REFS
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
      result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
      __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
      if (likely(result)) {
          return __Pyx_NewRef(result);
      } else if (unlikely(PyErr_Occurred())) {
          return NULL;
      }
  #else
      result = PyDict_GetItem(__pyx_d, name);
      __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
      if (likely(result)) {
          return __Pyx_NewRef(result);
      }
  #endif
  #else
      result = PyObject_GetItem(__pyx_d, name);
      __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
      if (likely(result)) {
          return __Pyx_NewRef(result);
      }
      PyErr_Clear();
  #endif
      return __Pyx_GetBuiltinName(name);
  }
  
  /* RaiseTooManyValuesToUnpack */
  static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
      PyErr_Format(PyExc_ValueError,
                   "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
  }
  
  /* RaiseNeedMoreValuesToUnpack */
  static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
      PyErr_Format(PyExc_ValueError,
                   "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                   index, (index == 1) ? "" : "s");
  }
  
  /* RaiseNoneIterError */
  static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
      PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
  }
  
  /* ExtTypeTest */
  static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
      if (unlikely(!type)) {
          PyErr_SetString(PyExc_SystemError, "Missing type object");
          return 0;
      }
      if (likely(__Pyx_TypeCheck(obj, type)))
          return 1;
      PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                   Py_TYPE(obj)->tp_name, type->tp_name);
      return 0;
  }
  
  /* GetTopmostException */
  #if CYTHON_USE_EXC_INFO_STACK
  static _PyErr_StackItem *
  __Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
  {
      _PyErr_StackItem *exc_info = tstate->exc_info;
      while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
             exc_info->previous_item != NULL)
      {
          exc_info = exc_info->previous_item;
      }
      return exc_info;
  }
  #endif
  
  /* SaveResetException */
  #if CYTHON_FAST_THREAD_STATE
  static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
      #if CYTHON_USE_EXC_INFO_STACK
      _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
      *type = exc_info->exc_type;
      *value = exc_info->exc_value;
      *tb = exc_info->exc_traceback;
      #else
      *type = tstate->exc_type;
      *value = tstate->exc_value;
      *tb = tstate->exc_traceback;
      #endif
      Py_XINCREF(*type);
      Py_XINCREF(*value);
      Py_XINCREF(*tb);
  }
  static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
      PyObject *tmp_type, *tmp_value, *tmp_tb;
      #if CYTHON_USE_EXC_INFO_STACK
      _PyErr_StackItem *exc_info = tstate->exc_info;
      tmp_type = exc_info->exc_type;
      tmp_value = exc_info->exc_value;
      tmp_tb = exc_info->exc_traceback;
      exc_info->exc_type = type;
      exc_info->exc_value = value;
      exc_info->exc_traceback = tb;
      #else
      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;
      #endif
      Py_XDECREF(tmp_type);
      Py_XDECREF(tmp_value);
      Py_XDECREF(tmp_tb);
  }
  #endif
  
  /* GetException */
  #if CYTHON_FAST_THREAD_STATE
  static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
  #else
  static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
  #endif
  {
      PyObject *local_type, *local_value, *local_tb;
  #if CYTHON_FAST_THREAD_STATE
      PyObject *tmp_type, *tmp_value, *tmp_tb;
      local_type = tstate->curexc_type;
      local_value = tstate->curexc_value;
      local_tb = tstate->curexc_traceback;
      tstate->curexc_type = 0;
      tstate->curexc_value = 0;
      tstate->curexc_traceback = 0;
  #else
      PyErr_Fetch(&local_type, &local_value, &local_tb);
  #endif
      PyErr_NormalizeException(&local_type, &local_value, &local_tb);
  #if CYTHON_FAST_THREAD_STATE
      if (unlikely(tstate->curexc_type))
  #else
      if (unlikely(PyErr_Occurred()))
  #endif
          goto bad;
      #if PY_MAJOR_VERSION >= 3
      if (local_tb) {
          if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
              goto bad;
      }
      #endif
      Py_XINCREF(local_tb);
      Py_XINCREF(local_type);
      Py_XINCREF(local_value);
      *type = local_type;
      *value = local_value;
      *tb = local_tb;
  #if CYTHON_FAST_THREAD_STATE
      #if CYTHON_USE_EXC_INFO_STACK
      {
          _PyErr_StackItem *exc_info = tstate->exc_info;
          tmp_type = exc_info->exc_type;
          tmp_value = exc_info->exc_value;
          tmp_tb = exc_info->exc_traceback;
          exc_info->exc_type = local_type;
          exc_info->exc_value = local_value;
          exc_info->exc_traceback = local_tb;
      }
      #else
      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;
      #endif
      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;
  }
  
  /* SwapException */
  #if CYTHON_FAST_THREAD_STATE
  static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
      PyObject *tmp_type, *tmp_value, *tmp_tb;
      #if CYTHON_USE_EXC_INFO_STACK
      _PyErr_StackItem *exc_info = tstate->exc_info;
      tmp_type = exc_info->exc_type;
      tmp_value = exc_info->exc_value;
      tmp_tb = exc_info->exc_traceback;
      exc_info->exc_type = *type;
      exc_info->exc_value = *value;
      exc_info->exc_traceback = *tb;
      #else
      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;
      #endif
      *type = tmp_type;
      *value = tmp_value;
      *tb = tmp_tb;
  }
  #else
  static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
      PyObject *tmp_type, *tmp_value, *tmp_tb;
      PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
      PyErr_SetExcInfo(*type, *value, *tb);
      *type = tmp_type;
      *value = tmp_value;
      *tb = tmp_tb;
  }
  #endif
  
  /* Import */
  static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
      PyObject *empty_list = 0;
      PyObject *module = 0;
      PyObject *global_dict = 0;
      PyObject *empty_dict = 0;
      PyObject *list;
      #if PY_MAJOR_VERSION < 3
      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 ((1) && (strchr(__Pyx_MODULE_NAME, '.'))) {
                  module = PyImport_ImportModuleLevelObject(
                      name, global_dict, empty_dict, list, 1);
                  if (!module) {
                      if (!PyErr_ExceptionMatches(PyExc_ImportError))
                          goto bad;
                      PyErr_Clear();
                  }
              }
              level = 0;
          }
          #endif
          if (!module) {
              #if PY_MAJOR_VERSION < 3
              PyObject *py_level = PyInt_FromLong(level);
              if (!py_level)
                  goto bad;
              module = PyObject_CallFunctionObjArgs(py_import,
                  name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
              Py_DECREF(py_level);
              #else
              module = PyImport_ImportModuleLevelObject(
                  name, global_dict, empty_dict, list, level);
              #endif
          }
      }
  bad:
      #if PY_MAJOR_VERSION < 3
      Py_XDECREF(py_import);
      #endif
      Py_XDECREF(empty_list);
      Py_XDECREF(empty_dict);
      return module;
  }
  
  /* FastTypeChecks */
  #if CYTHON_COMPILING_IN_CPYTHON
  static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
      while (a) {
          a = a->tp_base;
          if (a == b)
              return 1;
      }
      return b == &PyBaseObject_Type;
  }
  static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
      PyObject *mro;
      if (a == b) return 1;
      mro = a->tp_mro;
      if (likely(mro)) {
          Py_ssize_t i, n;
          n = PyTuple_GET_SIZE(mro);
          for (i = 0; i < n; i++) {
              if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                  return 1;
          }
          return 0;
      }
      return __Pyx_InBases(a, b);
  }
  #if PY_MAJOR_VERSION == 2
  static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
      PyObject *exception, *value, *tb;
      int res;
      __Pyx_PyThreadState_declare
      __Pyx_PyThreadState_assign
      __Pyx_ErrFetch(&exception, &value, &tb);
      res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
      if (unlikely(res == -1)) {
          PyErr_WriteUnraisable(err);
          res = 0;
      }
      if (!res) {
          res = PyObject_IsSubclass(err, exc_type2);
          if (unlikely(res == -1)) {
              PyErr_WriteUnraisable(err);
              res = 0;
          }
      }
      __Pyx_ErrRestore(exception, value, tb);
      return res;
  }
  #else
  static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
      int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
      if (!res) {
          res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
      }
      return res;
  }
  #endif
  static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
      Py_ssize_t i, n;
      assert(PyExceptionClass_Check(exc_type));
      n = PyTuple_GET_SIZE(tuple);
  #if PY_MAJOR_VERSION >= 3
      for (i=0; i<n; i++) {
          if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
      }
  #endif
      for (i=0; i<n; i++) {
          PyObject *t = PyTuple_GET_ITEM(tuple, i);
          #if PY_MAJOR_VERSION < 3
          if (likely(exc_type == t)) return 1;
          #endif
          if (likely(PyExceptionClass_Check(t))) {
              if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
          } else {
          }
      }
      return 0;
  }
  static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
      if (likely(err == exc_type)) return 1;
      if (likely(PyExceptionClass_Check(err))) {
          if (likely(PyExceptionClass_Check(exc_type))) {
              return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
          } else if (likely(PyTuple_Check(exc_type))) {
              return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
          } else {
          }
      }
      return PyErr_GivenExceptionMatches(err, exc_type);
  }
  static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
      assert(PyExceptionClass_Check(exc_type1));
      assert(PyExceptionClass_Check(exc_type2));
      if (likely(err == exc_type1 || err == exc_type2)) return 1;
      if (likely(PyExceptionClass_Check(err))) {
          return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
      }
      return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
  }
  #endif
  
  /* PyIntBinop */
  #if !CYTHON_COMPILING_IN_PYPY
  static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
      (void)inplace;
      (void)zerodivision_check;
      #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_CheckExact(op1))) {
          const long b = intval;
          long x;
          long a = PyInt_AS_LONG(op1);
              x = (long)((unsigned long)a + b);
              if (likely((x^a) >= 0 || (x^b) >= 0))
                  return PyInt_FromLong(x);
              return PyLong_Type.tp_as_number->nb_add(op1, op2);
      }
      #endif
      #if CYTHON_USE_PYLONG_INTERNALS
      if (likely(PyLong_CheckExact(op1))) {
          const long b = intval;
          long a, x;
  #ifdef HAVE_LONG_LONG
          const PY_LONG_LONG llb = intval;
          PY_LONG_LONG lla, llx;
  #endif
          const digit* digits = ((PyLongObject*)op1)->ob_digit;
          const Py_ssize_t size = Py_SIZE(op1);
          if (likely(__Pyx_sst_abs(size) <= 1)) {
              a = likely(size) ? digits[0] : 0;
              if (size == -1) a = -a;
          } else {
              switch (size) {
                  case -2:
                      if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                          a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                          break;
  #ifdef HAVE_LONG_LONG
                      } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                          lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                          goto long_long;
  #endif
                      }
                      CYTHON_FALLTHROUGH;
                  case 2:
                      if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                          a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                          break;
  #ifdef HAVE_LONG_LONG
                      } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                          lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                          goto long_long;
  #endif
                      }
                      CYTHON_FALLTHROUGH;
                  case -3:
                      if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                          a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                          break;
  #ifdef HAVE_LONG_LONG
                      } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                          lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                          goto long_long;
  #endif
                      }
                      CYTHON_FALLTHROUGH;
                  case 3:
                      if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                          a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                          break;
  #ifdef HAVE_LONG_LONG
                      } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                          lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                          goto long_long;
  #endif
                      }
                      CYTHON_FALLTHROUGH;
                  case -4:
                      if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                          a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                          break;
  #ifdef HAVE_LONG_LONG
                      } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                          lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                          goto long_long;
  #endif
                      }
                      CYTHON_FALLTHROUGH;
                  case 4:
                      if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                          a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                          break;
  #ifdef HAVE_LONG_LONG
                      } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                          lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                          goto long_long;
  #endif
                      }
                      CYTHON_FALLTHROUGH;
                  default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
              }
          }
                  x = a + b;
              return PyLong_FromLong(x);
  #ifdef HAVE_LONG_LONG
          long_long:
                  llx = lla + llb;
              return PyLong_FromLongLong(llx);
  #endif
          
          
      }
      #endif
      if (PyFloat_CheckExact(op1)) {
          const long b = intval;
          double a = PyFloat_AS_DOUBLE(op1);
              double result;
              PyFPE_START_PROTECT("add", return NULL)
              result = ((double)a) + (double)b;
              PyFPE_END_PROTECT(result)
              return PyFloat_FromDouble(result);
      }
      return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
  }
  #endif
  
  /* None */
  static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
      PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
  }
  
  /* ImportFrom */
  static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
      PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
      if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
          PyErr_Format(PyExc_ImportError,
          #if PY_MAJOR_VERSION < 3
              "cannot import name %.230s", PyString_AS_STRING(name));
          #else
              "cannot import name %S", name);
          #endif
      }
      return value;
  }
  
  /* HasAttr */
  static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
      PyObject *r;
      if (unlikely(!__Pyx_PyBaseString_Check(n))) {
          PyErr_SetString(PyExc_TypeError,
                          "hasattr(): attribute name must be string");
          return -1;
      }
      r = __Pyx_GetAttr(o, n);
      if (unlikely(!r)) {
          PyErr_Clear();
          return 0;
      } else {
          Py_DECREF(r);
          return 1;
      }
  }
  
  /* PyObject_GenericGetAttrNoDict */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
      PyErr_Format(PyExc_AttributeError,
  #if PY_MAJOR_VERSION >= 3
                   "'%.50s' object has no attribute '%U'",
                   tp->tp_name, attr_name);
  #else
                   "'%.50s' object has no attribute '%.400s'",
                   tp->tp_name, PyString_AS_STRING(attr_name));
  #endif
      return NULL;
  }
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
      PyObject *descr;
      PyTypeObject *tp = Py_TYPE(obj);
      if (unlikely(!PyString_Check(attr_name))) {
          return PyObject_GenericGetAttr(obj, attr_name);
      }
      assert(!tp->tp_dictoffset);
      descr = _PyType_Lookup(tp, attr_name);
      if (unlikely(!descr)) {
          return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
      }
      Py_INCREF(descr);
      #if PY_MAJOR_VERSION < 3
      if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
      #endif
      {
          descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
          if (unlikely(f)) {
              PyObject *res = f(descr, obj, (PyObject *)tp);
              Py_DECREF(descr);
              return res;
          }
      }
      return descr;
  }
  #endif
  
  /* PyObject_GenericGetAttr */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
      if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
          return PyObject_GenericGetAttr(obj, attr_name);
      }
      return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
  }
  #endif
  
  /* PyObjectGetAttrStrNoError */
  static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
      __Pyx_PyThreadState_declare
      __Pyx_PyThreadState_assign
      if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
          __Pyx_PyErr_Clear();
  }
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
      PyObject *result;
  #if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
      PyTypeObject* tp = Py_TYPE(obj);
      if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
          return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
      }
  #endif
      result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
      if (unlikely(!result)) {
          __Pyx_PyObject_GetAttrStr_ClearAttributeError();
      }
      return result;
  }
  
  /* SetupReduce */
  static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
    int ret;
    PyObject *name_attr;
    name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name_2);
    if (likely(name_attr)) {
        ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
    } else {
        ret = -1;
    }
    if (unlikely(ret < 0)) {
        PyErr_Clear();
        ret = 0;
    }
    Py_XDECREF(name_attr);
    return ret;
  }
  static int __Pyx_setup_reduce(PyObject* type_obj) {
      int ret = 0;
      PyObject *object_reduce = NULL;
      PyObject *object_reduce_ex = NULL;
      PyObject *reduce = NULL;
      PyObject *reduce_ex = NULL;
      PyObject *reduce_cython = NULL;
      PyObject *setstate = NULL;
      PyObject *setstate_cython = NULL;
  #if CYTHON_USE_PYTYPE_LOOKUP
      if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
  #else
      if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
  #endif
  #if CYTHON_USE_PYTYPE_LOOKUP
      object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
  #else
      object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
  #endif
      reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
      if (reduce_ex == object_reduce_ex) {
  #if CYTHON_USE_PYTYPE_LOOKUP
          object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
  #else
          object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
  #endif
          reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
          if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
              reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
              if (likely(reduce_cython)) {
                  ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                  ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
              } else if (reduce == object_reduce || PyErr_Occurred()) {
                  goto __PYX_BAD;
              }
              setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
              if (!setstate) PyErr_Clear();
              if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                  setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
                  if (likely(setstate_cython)) {
                      ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                      ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                  } else if (!setstate || PyErr_Occurred()) {
                      goto __PYX_BAD;
                  }
              }
              PyType_Modified((PyTypeObject*)type_obj);
          }
      }
      goto __PYX_GOOD;
  __PYX_BAD:
      if (!PyErr_Occurred())
          PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
      ret = -1;
  __PYX_GOOD:
  #if !CYTHON_USE_PYTYPE_LOOKUP
      Py_XDECREF(object_reduce);
      Py_XDECREF(object_reduce_ex);
  #endif
      Py_XDECREF(reduce);
      Py_XDECREF(reduce_ex);
      Py_XDECREF(reduce_cython);
      Py_XDECREF(setstate);
      Py_XDECREF(setstate_cython);
      return ret;
  }
  
  /* SetVTable */
  static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
  #if PY_VERSION_HEX >= 0x02070000
      PyObject *ob = PyCapsule_New(vtable, 0, 0);
  #else
      PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
  #endif
      if (!ob)
          goto bad;
      if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
          goto bad;
      Py_DECREF(ob);
      return 0;
  bad:
      Py_XDECREF(ob);
      return -1;
  }
  
  /* CLineInTraceback */
  #ifndef CYTHON_CLINE_IN_TRACEBACK
  static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED PyThreadState *tstate, int c_line) {
      PyObject *use_cline;
      PyObject *ptype, *pvalue, *ptraceback;
  #if CYTHON_COMPILING_IN_CPYTHON
      PyObject **cython_runtime_dict;
  #endif
      if (unlikely(!__pyx_cython_runtime)) {
          return c_line;
      }
      __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
  #if CYTHON_COMPILING_IN_CPYTHON
      cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
      if (likely(cython_runtime_dict)) {
          __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
              use_cline, *cython_runtime_dict,
              __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
      } else
  #endif
      {
        PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
        if (use_cline_obj) {
          use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
          Py_DECREF(use_cline_obj);
        } else {
          PyErr_Clear();
          use_cline = NULL;
        }
      }
      if (!use_cline) {
          c_line = 0;
          PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
      }
      else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
          c_line = 0;
      }
      __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
      return c_line;
  }
  #endif
  
  /* CodeObjectCache */
  static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
      int start = 0, mid = 0, end = count - 1;
      if (end >= 0 && code_line > entries[end].code_line) {
          return count;
      }
      while (start < end) {
          mid = start + (end - start) / 2;
          if (code_line < entries[mid].code_line) {
              end = mid;
          } else if (code_line > entries[mid].code_line) {
               start = mid + 1;
          } else {
              return mid;
          }
      }
      if (code_line <= entries[mid].code_line) {
          return mid;
      } else {
          return mid + 1;
      }
  }
  static PyCodeObject *__pyx_find_code_object(int code_line) {
      PyCodeObject* code_object;
      int pos;
      if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
          return NULL;
      }
      pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
      if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
          return NULL;
      }
      code_object = __pyx_code_cache.entries[pos].code_object;
      Py_INCREF(code_object);
      return code_object;
  }
  static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
      int pos, i;
      __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
      if (unlikely(!code_line)) {
          return;
      }
      if (unlikely(!entries)) {
          entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
          if (likely(entries)) {
              __pyx_code_cache.entries = entries;
              __pyx_code_cache.max_count = 64;
              __pyx_code_cache.count = 1;
              entries[0].code_line = code_line;
              entries[0].code_object = code_object;
              Py_INCREF(code_object);
          }
          return;
      }
      pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
      if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
          PyCodeObject* tmp = entries[pos].code_object;
          entries[pos].code_object = code_object;
          Py_DECREF(tmp);
          return;
      }
      if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
          int new_max = __pyx_code_cache.max_count + 64;
          entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
              __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
          if (unlikely(!entries)) {
              return;
          }
          __pyx_code_cache.entries = entries;
          __pyx_code_cache.max_count = new_max;
      }
      for (i=__pyx_code_cache.count; i>pos; i--) {
          entries[i] = entries[i-1];
      }
      entries[pos].code_line = code_line;
      entries[pos].code_object = code_object;
      __pyx_code_cache.count++;
      Py_INCREF(code_object);
  }
  
  /* AddTraceback */
  #include "compile.h"
  #include "frameobject.h"
  #include "traceback.h"
  static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
              const char *funcname, int c_line,
              int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyObject *py_srcfile = 0;
      PyObject *py_funcname = 0;
      #if PY_MAJOR_VERSION < 3
      py_srcfile = PyString_FromString(filename);
      #else
      py_srcfile = PyUnicode_FromString(filename);
      #endif
      if (!py_srcfile) goto bad;
      if (c_line) {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          #else
          py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          #endif
      }
      else {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromString(funcname);
          #else
          py_funcname = PyUnicode_FromString(funcname);
          #endif
      }
      if (!py_funcname) goto bad;
      py_code = __Pyx_PyCode_New(
          0,
          0,
          0,
          0,
          0,
          __pyx_empty_bytes, /*PyObject *code,*/
          __pyx_empty_tuple, /*PyObject *consts,*/
          __pyx_empty_tuple, /*PyObject *names,*/
          __pyx_empty_tuple, /*PyObject *varnames,*/
          __pyx_empty_tuple, /*PyObject *freevars,*/
          __pyx_empty_tuple, /*PyObject *cellvars,*/
          py_srcfile,   /*PyObject *filename,*/
          py_funcname,  /*PyObject *name,*/
          py_line,
          __pyx_empty_bytes  /*PyObject *lnotab*/
      );
      Py_DECREF(py_srcfile);
      Py_DECREF(py_funcname);
      return py_code;
  bad:
      Py_XDECREF(py_srcfile);
      Py_XDECREF(py_funcname);
      return NULL;
  }
  static void __Pyx_AddTraceback(const char *funcname, int c_line,
                                 int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyFrameObject *py_frame = 0;
      PyThreadState *tstate = __Pyx_PyThreadState_Current;
      if (c_line) {
          c_line = __Pyx_CLineForTraceback(tstate, c_line);
      }
      py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
      if (!py_code) {
          py_code = __Pyx_CreateCodeObjectForTraceback(
              funcname, c_line, py_line, filename);
          if (!py_code) goto bad;
          __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
      }
      py_frame = PyFrame_New(
          tstate,            /*PyThreadState *tstate,*/
          py_code,           /*PyCodeObject *code,*/
          __pyx_d,    /*PyObject *globals,*/
          0                  /*PyObject *locals*/
      );
      if (!py_frame) goto bad;
      __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
      PyTraceBack_Here(py_frame);
  bad:
      Py_XDECREF(py_code);
      Py_XDECREF(py_frame);
  }
  
  #if PY_MAJOR_VERSION < 3
  static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
      if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
          if (__Pyx_TypeCheck(obj, __pyx_array_type)) return __pyx_array_getbuffer(obj, view, flags);
          if (__Pyx_TypeCheck(obj, __pyx_memoryview_type)) return __pyx_memoryview_getbuffer(obj, view, flags);
      PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
      return -1;
  }
  static void __Pyx_ReleaseBuffer(Py_buffer *view) {
      PyObject *obj = view->obj;
      if (!obj) return;
      if (PyObject_CheckBuffer(obj)) {
          PyBuffer_Release(view);
          return;
      }
      if ((0)) {}
      view->obj = NULL;
      Py_DECREF(obj);
  }
  #endif
  
  
  /* MemviewSliceIsContig */
  static int
  __pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim)
  {
      int i, index, step, start;
      Py_ssize_t itemsize = mvs.memview->view.itemsize;
      if (order == 'F') {
          step = 1;
          start = 0;
      } else {
          step = -1;
          start = ndim - 1;
      }
      for (i = 0; i < ndim; i++) {
          index = start + step * i;
          if (mvs.suboffsets[index] >= 0 || mvs.strides[index] != itemsize)
              return 0;
          itemsize *= mvs.shape[index];
      }
      return 1;
  }
  
  /* OverlappingSlices */
  static void
  __pyx_get_array_memory_extents(__Pyx_memviewslice *slice,
                                 void **out_start, void **out_end,
                                 int ndim, size_t itemsize)
  {
      char *start, *end;
      int i;
      start = end = slice->data;
      for (i = 0; i < ndim; i++) {
          Py_ssize_t stride = slice->strides[i];
          Py_ssize_t extent = slice->shape[i];
          if (extent == 0) {
              *out_start = *out_end = start;
              return;
          } else {
              if (stride > 0)
                  end += stride * (extent - 1);
              else
                  start += stride * (extent - 1);
          }
      }
      *out_start = start;
      *out_end = end + itemsize;
  }
  static int
  __pyx_slices_overlap(__Pyx_memviewslice *slice1,
                       __Pyx_memviewslice *slice2,
                       int ndim, size_t itemsize)
  {
      void *start1, *end1, *start2, *end2;
      __pyx_get_array_memory_extents(slice1, &start1, &end1, ndim, itemsize);
      __pyx_get_array_memory_extents(slice2, &start2, &end2, ndim, itemsize);
      return (start1 < end2) && (start2 < end1);
  }
  
  /* Capsule */
  static CYTHON_INLINE PyObject *
  __pyx_capsule_create(void *p, CYTHON_UNUSED const char *sig)
  {
      PyObject *cobj;
  #if PY_VERSION_HEX >= 0x02070000
      cobj = PyCapsule_New(p, sig, NULL);
  #else
      cobj = PyCObject_FromVoidPtr(p, NULL);
  #endif
      return cobj;
  }
  
  /* IsLittleEndian */
  static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)
  {
    union {
      uint32_t u32;
      uint8_t u8[4];
    } S;
    S.u32 = 0x01020304;
    return S.u8[0] == 4;
  }
  
  /* BufferFormatCheck */
  static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                                __Pyx_BufFmt_StackElem* stack,
                                __Pyx_TypeInfo* type) {
    stack[0].field = &ctx->root;
    stack[0].parent_offset = 0;
    ctx->root.type = type;
    ctx->root.name = "buffer dtype";
    ctx->root.offset = 0;
    ctx->head = stack;
    ctx->head->field = &ctx->root;
    ctx->fmt_offset = 0;
    ctx->head->parent_offset = 0;
    ctx->new_packmode = '@';
    ctx->enc_packmode = '@';
    ctx->new_count = 1;
    ctx->enc_count = 0;
    ctx->enc_type = 0;
    ctx->is_complex = 0;
    ctx->is_valid_array = 0;
    ctx->struct_alignment = 0;
    while (type->typegroup == 'S') {
      ++ctx->head;
      ctx->head->field = type->fields;
      ctx->head->parent_offset = 0;
      type = type->fields->type;
    }
  }
  static int __Pyx_BufFmt_ParseNumber(const char** ts) {
      int count;
      const char* t = *ts;
      if (*t < '0' || *t > '9') {
        return -1;
      } else {
          count = *t++ - '0';
          while (*t >= '0' && *t <= '9') {
              count *= 10;
              count += *t++ - '0';
          }
      }
      *ts = t;
      return count;
  }
  static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
      int number = __Pyx_BufFmt_ParseNumber(ts);
      if (number == -1)
          PyErr_Format(PyExc_ValueError,\
                       "Does not understand character buffer dtype format string ('%c')", **ts);
      return number;
  }
  static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
    PyErr_Format(PyExc_ValueError,
                 "Unexpected format string character: '%c'", ch);
  }
  static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
    switch (ch) {
      case '?': return "'bool'";
      case 'c': return "'char'";
      case 'b': return "'signed char'";
      case 'B': return "'unsigned char'";
      case 'h': return "'short'";
      case 'H': return "'unsigned short'";
      case 'i': return "'int'";
      case 'I': return "'unsigned int'";
      case 'l': return "'long'";
      case 'L': return "'unsigned long'";
      case 'q': return "'long long'";
      case 'Q': return "'unsigned long long'";
      case 'f': return (is_complex ? "'complex float'" : "'float'");
      case 'd': return (is_complex ? "'complex double'" : "'double'");
      case 'g': return (is_complex ? "'complex long double'" : "'long double'");
      case 'T': return "a struct";
      case 'O': return "Python object";
      case 'P': return "a pointer";
      case 's': case 'p': return "a string";
      case 0: return "end";
      default: return "unparseable format string";
    }
  }
  static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
    switch (ch) {
      case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
      case 'h': case 'H': return 2;
      case 'i': case 'I': case 'l': case 'L': return 4;
      case 'q': case 'Q': return 8;
      case 'f': return (is_complex ? 8 : 4);
      case 'd': return (is_complex ? 16 : 8);
      case 'g': {
        PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
        return 0;
      }
      case 'O': case 'P': return sizeof(void*);
      default:
        __Pyx_BufFmt_RaiseUnexpectedChar(ch);
        return 0;
      }
  }
  static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
    switch (ch) {
      case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
      case 'h': case 'H': return sizeof(short);
      case 'i': case 'I': return sizeof(int);
      case 'l': case 'L': return sizeof(long);
      #ifdef HAVE_LONG_LONG
      case 'q': case 'Q': return sizeof(PY_LONG_LONG);
      #endif
      case 'f': return sizeof(float) * (is_complex ? 2 : 1);
      case 'd': return sizeof(double) * (is_complex ? 2 : 1);
      case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
      case 'O': case 'P': return sizeof(void*);
      default: {
        __Pyx_BufFmt_RaiseUnexpectedChar(ch);
        return 0;
      }
    }
  }
  typedef struct { char c; short x; } __Pyx_st_short;
  typedef struct { char c; int x; } __Pyx_st_int;
  typedef struct { char c; long x; } __Pyx_st_long;
  typedef struct { char c; float x; } __Pyx_st_float;
  typedef struct { char c; double x; } __Pyx_st_double;
  typedef struct { char c; long double x; } __Pyx_st_longdouble;
  typedef struct { char c; void *x; } __Pyx_st_void_p;
  #ifdef HAVE_LONG_LONG
  typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
  #endif
  static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
    switch (ch) {
      case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
      case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
      case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
      case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
  #ifdef HAVE_LONG_LONG
      case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
  #endif
      case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
      case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
      case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
      case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
      default:
        __Pyx_BufFmt_RaiseUnexpectedChar(ch);
        return 0;
      }
  }
  /* These are for computing the padding at the end of the struct to align
     on the first member of the struct. This will probably the same as above,
     but we don't have any guarantees.
   */
  typedef struct { short x; char c; } __Pyx_pad_short;
  typedef struct { int x; char c; } __Pyx_pad_int;
  typedef struct { long x; char c; } __Pyx_pad_long;
  typedef struct { float x; char c; } __Pyx_pad_float;
  typedef struct { double x; char c; } __Pyx_pad_double;
  typedef struct { long double x; char c; } __Pyx_pad_longdouble;
  typedef struct { void *x; char c; } __Pyx_pad_void_p;
  #ifdef HAVE_LONG_LONG
  typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
  #endif
  static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
    switch (ch) {
      case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
      case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
      case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
      case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
  #ifdef HAVE_LONG_LONG
      case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
  #endif
      case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
      case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
      case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
      case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
      default:
        __Pyx_BufFmt_RaiseUnexpectedChar(ch);
        return 0;
      }
  }
  static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
    switch (ch) {
      case 'c':
          return 'H';
      case 'b': case 'h': case 'i':
      case 'l': case 'q': case 's': case 'p':
          return 'I';
      case '?': 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 PyObject *
  __pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
  {
      const char *ts = *tsp;
      int i = 0, number, 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;
      ndim = ctx->head->field->type->ndim;
      while (*ts && *ts != ')') {
          switch (*ts) {
              case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
              default:  break;
          }
          number = __Pyx_BufFmt_ExpectNumber(&ts);
          if (number == -1) return NULL;
          if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
              return PyErr_Format(PyExc_ValueError,
                          "Expected a dimension of size %zu, got %d",
                          ctx->head->field->type->arraysize[i], number);
          if (*ts != ',' && *ts != ')')
              return PyErr_Format(PyExc_ValueError,
                                  "Expected a comma in format string, got '%c'", *ts);
          if (*ts == ',') ts++;
          i++;
      }
      if (i != ndim)
          return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
                              ctx->head->field->type->ndim, i);
      if (!*ts) {
          PyErr_SetString(PyExc_ValueError,
                          "Unexpected end of format string, expected ')'");
          return NULL;
      }
      ctx->is_valid_array = 1;
      ctx->new_count = 1;
      *tsp = ++ts;
      return Py_None;
  }
  static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
    int got_Z = 0;
    while (1) {
      switch(*ts) {
        case 0:
          if (ctx->enc_type != 0 && ctx->head == NULL) {
            __Pyx_BufFmt_RaiseExpected(ctx);
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          if (ctx->head != NULL) {
            __Pyx_BufFmt_RaiseExpected(ctx);
            return NULL;
          }
          return ts;
        case ' ':
        case '\r':
        case '\n':
          ++ts;
          break;
        case '<':
          if (!__Pyx_Is_Little_Endian()) {
            PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
            return NULL;
          }
          ctx->new_packmode = '=';
          ++ts;
          break;
        case '>':
        case '!':
          if (__Pyx_Is_Little_Endian()) {
            PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
            return NULL;
          }
          ctx->new_packmode = '=';
          ++ts;
          break;
        case '=':
        case '@':
        case '^':
          ctx->new_packmode = *ts++;
          break;
        case 'T':
          {
            const char* ts_after_sub;
            size_t i, struct_count = ctx->new_count;
            size_t struct_alignment = ctx->struct_alignment;
            ctx->new_count = 1;
            ++ts;
            if (*ts != '{') {
              PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
              return NULL;
            }
            if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
            ctx->enc_type = 0;
            ctx->enc_count = 0;
            ctx->struct_alignment = 0;
            ++ts;
            ts_after_sub = ts;
            for (i = 0; i != struct_count; ++i) {
              ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
              if (!ts_after_sub) return NULL;
            }
            ts = ts_after_sub;
            if (struct_alignment) ctx->struct_alignment = struct_alignment;
          }
          break;
        case '}':
          {
            size_t alignment = ctx->struct_alignment;
            ++ts;
            if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
            ctx->enc_type = 0;
            if (alignment && ctx->fmt_offset % alignment) {
              ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
            }
          }
          return ts;
        case 'x':
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->fmt_offset += ctx->new_count;
          ctx->new_count = 1;
          ctx->enc_count = 0;
          ctx->enc_type = 0;
          ctx->enc_packmode = ctx->new_packmode;
          ++ts;
          break;
        case 'Z':
          got_Z = 1;
          ++ts;
          if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
            __Pyx_BufFmt_RaiseUnexpectedChar('Z');
            return NULL;
          }
          CYTHON_FALLTHROUGH;
        case '?': 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->is_valid_array)) {
            ctx->enc_count += ctx->new_count;
            ctx->new_count = 1;
            got_Z = 0;
            ++ts;
            break;
          }
          CYTHON_FALLTHROUGH;
        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;
          }
      }
    }
  }
  
  /* TypeInfoCompare */
    static int
  __pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b)
  {
      int i;
      if (!a || !b)
          return 0;
      if (a == b)
          return 1;
      if (a->size != b->size || a->typegroup != b->typegroup ||
              a->is_unsigned != b->is_unsigned || a->ndim != b->ndim) {
          if (a->typegroup == 'H' || b->typegroup == 'H') {
              return a->size == b->size;
          } else {
              return 0;
          }
      }
      if (a->ndim) {
          for (i = 0; i < a->ndim; i++)
              if (a->arraysize[i] != b->arraysize[i])
                  return 0;
      }
      if (a->typegroup == 'S') {
          if (a->flags != b->flags)
              return 0;
          if (a->fields || b->fields) {
              if (!(a->fields && b->fields))
                  return 0;
              for (i = 0; a->fields[i].type && b->fields[i].type; i++) {
                  __Pyx_StructField *field_a = a->fields + i;
                  __Pyx_StructField *field_b = b->fields + i;
                  if (field_a->offset != field_b->offset ||
                      !__pyx_typeinfo_cmp(field_a->type, field_b->type))
                      return 0;
              }
              return !a->fields[i].type && !b->fields[i].type;
          }
      }
      return 1;
  }
  
  /* MemviewSliceValidateAndInit */
    static int
  __pyx_check_strides(Py_buffer *buf, int dim, int ndim, int spec)
  {
      if (buf->shape[dim] <= 1)
          return 1;
      if (buf->strides) {
          if (spec & __Pyx_MEMVIEW_CONTIG) {
              if (spec & (__Pyx_MEMVIEW_PTR|__Pyx_MEMVIEW_FULL)) {
                  if (unlikely(buf->strides[dim] != sizeof(void *))) {
                      PyErr_Format(PyExc_ValueError,
                                   "Buffer is not indirectly contiguous "
                                   "in dimension %d.", dim);
                      goto fail;
                  }
              } else if (unlikely(buf->strides[dim] != buf->itemsize)) {
                  PyErr_SetString(PyExc_ValueError,
                                  "Buffer and memoryview are not contiguous "
                                  "in the same dimension.");
                  goto fail;
              }
          }
          if (spec & __Pyx_MEMVIEW_FOLLOW) {
              Py_ssize_t stride = buf->strides[dim];
              if (stride < 0)
                  stride = -stride;
              if (unlikely(stride < buf->itemsize)) {
                  PyErr_SetString(PyExc_ValueError,
                                  "Buffer and memoryview are not contiguous "
                                  "in the same dimension.");
                  goto fail;
              }
          }
      } else {
          if (unlikely(spec & __Pyx_MEMVIEW_CONTIG && dim != ndim - 1)) {
              PyErr_Format(PyExc_ValueError,
                           "C-contiguous buffer is not contiguous in "
                           "dimension %d", dim);
              goto fail;
          } else if (unlikely(spec & (__Pyx_MEMVIEW_PTR))) {
              PyErr_Format(PyExc_ValueError,
                           "C-contiguous buffer is not indirect in "
                           "dimension %d", dim);
              goto fail;
          } else if (unlikely(buf->suboffsets)) {
              PyErr_SetString(PyExc_ValueError,
                              "Buffer exposes suboffsets but no strides");
              goto fail;
          }
      }
      return 1;
  fail:
      return 0;
  }
  static int
  __pyx_check_suboffsets(Py_buffer *buf, int dim, CYTHON_UNUSED int ndim, int spec)
  {
      if (spec & __Pyx_MEMVIEW_DIRECT) {
          if (unlikely(buf->suboffsets && buf->suboffsets[dim] >= 0)) {
              PyErr_Format(PyExc_ValueError,
                           "Buffer not compatible with direct access "
                           "in dimension %d.", dim);
              goto fail;
          }
      }
      if (spec & __Pyx_MEMVIEW_PTR) {
          if (unlikely(!buf->suboffsets || (buf->suboffsets[dim] < 0))) {
              PyErr_Format(PyExc_ValueError,
                           "Buffer is not indirectly accessible "
                           "in dimension %d.", dim);
              goto fail;
          }
      }
      return 1;
  fail:
      return 0;
  }
  static int
  __pyx_verify_contig(Py_buffer *buf, int ndim, int c_or_f_flag)
  {
      int i;
      if (c_or_f_flag & __Pyx_IS_F_CONTIG) {
          Py_ssize_t stride = 1;
          for (i = 0; i < ndim; i++) {
              if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {
                  PyErr_SetString(PyExc_ValueError,
                      "Buffer not fortran contiguous.");
                  goto fail;
              }
              stride = stride * buf->shape[i];
          }
      } else if (c_or_f_flag & __Pyx_IS_C_CONTIG) {
          Py_ssize_t stride = 1;
          for (i = ndim - 1; i >- 1; i--) {
              if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {
                  PyErr_SetString(PyExc_ValueError,
                      "Buffer not C contiguous.");
                  goto fail;
              }
              stride = stride * buf->shape[i];
          }
      }
      return 1;
  fail:
      return 0;
  }
  static int __Pyx_ValidateAndInit_memviewslice(
                  int *axes_specs,
                  int c_or_f_flag,
                  int buf_flags,
                  int ndim,
                  __Pyx_TypeInfo *dtype,
                  __Pyx_BufFmt_StackElem stack[],
                  __Pyx_memviewslice *memviewslice,
                  PyObject *original_obj)
  {
      struct __pyx_memoryview_obj *memview, *new_memview;
      __Pyx_RefNannyDeclarations
      Py_buffer *buf;
      int i, spec = 0, retval = -1;
      __Pyx_BufFmt_Context ctx;
      int from_memoryview = __pyx_memoryview_check(original_obj);
      __Pyx_RefNannySetupContext("ValidateAndInit_memviewslice", 0);
      if (from_memoryview && __pyx_typeinfo_cmp(dtype, ((struct __pyx_memoryview_obj *)
                                                              original_obj)->typeinfo)) {
          memview = (struct __pyx_memoryview_obj *) original_obj;
          new_memview = NULL;
      } else {
          memview = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                              original_obj, buf_flags, 0, dtype);
          new_memview = memview;
          if (unlikely(!memview))
              goto fail;
      }
      buf = &memview->view;
      if (unlikely(buf->ndim != ndim)) {
          PyErr_Format(PyExc_ValueError,
                  "Buffer has wrong number of dimensions (expected %d, got %d)",
                  ndim, buf->ndim);
          goto fail;
      }
      if (new_memview) {
          __Pyx_BufFmt_Init(&ctx, stack, dtype);
          if (unlikely(!__Pyx_BufFmt_CheckString(&ctx, buf->format))) goto fail;
      }
      if (unlikely((unsigned) buf->itemsize != dtype->size)) {
          PyErr_Format(PyExc_ValueError,
                       "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "u byte%s) "
                       "does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "u byte%s)",
                       buf->itemsize,
                       (buf->itemsize > 1) ? "s" : "",
                       dtype->name,
                       dtype->size,
                       (dtype->size > 1) ? "s" : "");
          goto fail;
      }
      if (buf->len > 0) {
          for (i = 0; i < ndim; i++) {
              spec = axes_specs[i];
              if (unlikely(!__pyx_check_strides(buf, i, ndim, spec)))
                  goto fail;
              if (unlikely(!__pyx_check_suboffsets(buf, i, ndim, spec)))
                  goto fail;
          }
          if (unlikely(buf->strides && !__pyx_verify_contig(buf, ndim, c_or_f_flag)))
              goto fail;
      }
      if (unlikely(__Pyx_init_memviewslice(memview, ndim, memviewslice,
                                           new_memview != NULL) == -1)) {
          goto fail;
      }
      retval = 0;
      goto no_fail;
  fail:
      Py_XDECREF(new_memview);
      retval = -1;
  no_fail:
      __Pyx_RefNannyFinishContext();
      return retval;
  }
  
  /* ObjectToMemviewSlice */
    static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_3P4J_10algorithms_13string_length_DTYPE_t(PyObject *obj, int writable_flag) {
      __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
      __Pyx_BufFmt_StackElem stack[1];
      int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
      int retcode;
      if (obj == Py_None) {
          result.memview = (struct __pyx_memoryview_obj *) Py_None;
          return result;
      }
      retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                   (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                   &__Pyx_TypeInfo_nn___pyx_t_3P4J_10algorithms_13string_length_DTYPE_t, stack,
                                                   &result, obj);
      if (unlikely(retcode == -1))
          goto __pyx_fail;
      return result;
  __pyx_fail:
      result.memview = NULL;
      result.data = NULL;
      return result;
  }
  
  /* MemviewSliceCopyTemplate */
    static __Pyx_memviewslice
  __pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                   const char *mode, int ndim,
                                   size_t sizeof_dtype, int contig_flag,
                                   int dtype_is_object)
  {
      __Pyx_RefNannyDeclarations
      int i;
      __Pyx_memviewslice new_mvs = { 0, 0, { 0 }, { 0 }, { 0 } };
      struct __pyx_memoryview_obj *from_memview = from_mvs->memview;
      Py_buffer *buf = &from_memview->view;
      PyObject *shape_tuple = NULL;
      PyObject *temp_int = NULL;
      struct __pyx_array_obj *array_obj = NULL;
      struct __pyx_memoryview_obj *memview_obj = NULL;
      __Pyx_RefNannySetupContext("__pyx_memoryview_copy_new_contig", 0);
      for (i = 0; i < ndim; i++) {
          if (unlikely(from_mvs->suboffsets[i] >= 0)) {
              PyErr_Format(PyExc_ValueError, "Cannot copy memoryview slice with "
                                             "indirect dimensions (axis %d)", i);
              goto fail;
          }
      }
      shape_tuple = PyTuple_New(ndim);
      if (unlikely(!shape_tuple)) {
          goto fail;
      }
      __Pyx_GOTREF(shape_tuple);
      for(i = 0; i < ndim; i++) {
          temp_int = PyInt_FromSsize_t(from_mvs->shape[i]);
          if(unlikely(!temp_int)) {
              goto fail;
          } else {
              PyTuple_SET_ITEM(shape_tuple, i, temp_int);
              temp_int = NULL;
          }
      }
      array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, (char *) mode, NULL);
      if (unlikely(!array_obj)) {
          goto fail;
      }
      __Pyx_GOTREF(array_obj);
      memview_obj = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                      (PyObject *) array_obj, contig_flag,
                                      dtype_is_object,
                                      from_mvs->memview->typeinfo);
      if (unlikely(!memview_obj))
          goto fail;
      if (unlikely(__Pyx_init_memviewslice(memview_obj, ndim, &new_mvs, 1) < 0))
          goto fail;
      if (unlikely(__pyx_memoryview_copy_contents(*from_mvs, new_mvs, ndim, ndim,
                                                  dtype_is_object) < 0))
          goto fail;
      goto no_fail;
  fail:
      __Pyx_XDECREF(new_mvs.memview);
      new_mvs.memview = NULL;
      new_mvs.data = NULL;
  no_fail:
      __Pyx_XDECREF(shape_tuple);
      __Pyx_XDECREF(temp_int);
      __Pyx_XDECREF(array_obj);
      __Pyx_RefNannyFinishContext();
      return new_mvs;
  }
  
  /* CIntFromPyVerify */
    #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
      __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
  #define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
      __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
  #define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
      {\
          func_type value = func_value;\
          if (sizeof(target_type) < sizeof(func_type)) {\
              if (unlikely(value != (func_type) (target_type) value)) {\
                  func_type zero = 0;\
                  if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                      return (target_type) -1;\
                  if (is_unsigned && unlikely(value < zero))\
                      goto raise_neg_overflow;\
                  else\
                      goto raise_overflow;\
              }\
          }\
          return (target_type) value;\
      }
  
  /* CIntFromPy */
    static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const int neg_one = (int) -1, const_zero = (int) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_Check(x))) {
          if (sizeof(int) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (int) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                  case 2:
                      if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                              return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                              return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                              return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
              }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
  #else
              {
                  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                  if (unlikely(result < 0))
                      return (int) -1;
                  if (unlikely(result == 1))
                      goto raise_neg_overflow;
              }
  #endif
              if (sizeof(int) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
  #endif
              }
          } else {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                  case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                  case -2:
                      if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                              return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                              return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                              return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                              return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                              return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                              return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
              }
  #endif
              if (sizeof(int) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
  #endif
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              int val;
              PyObject *v = __Pyx_PyNumber_IntOrLong(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (int) -1;
          }
      } else {
          int val;
          PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
          if (!tmp) return (int) -1;
          val = __Pyx_PyInt_As_int(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to int");
      return (int) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to int");
      return (int) -1;
  }
  
  /* CIntFromPy */
    static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const long neg_one = (long) -1, const_zero = (long) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_Check(x))) {
          if (sizeof(long) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (long) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (long) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                  case 2:
                      if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                              return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                              return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                              return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
              }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
  #else
              {
                  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                  if (unlikely(result < 0))
                      return (long) -1;
                  if (unlikely(result == 1))
                      goto raise_neg_overflow;
              }
  #endif
              if (sizeof(long) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
  #endif
              }
          } else {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (long) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                  case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                  case -2:
                      if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                              return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                              return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                              return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                              return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                              return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                              return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
              }
  #endif
              if (sizeof(long) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
  #endif
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              long val;
              PyObject *v = __Pyx_PyNumber_IntOrLong(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (long) -1;
          }
      } else {
          long val;
          PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
          if (!tmp) return (long) -1;
          val = __Pyx_PyInt_As_long(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to long");
      return (long) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to long");
      return (long) -1;
  }
  
  /* CIntToPy */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const int neg_one = (int) -1, const_zero = (int) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(int) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(int) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(int) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
  #endif
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(int),
                                       little, !is_unsigned);
      }
  }
  
  /* CIntToPy */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const long neg_one = (long) -1, const_zero = (long) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(long) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(long) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(long) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
  #endif
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(long),
                                       little, !is_unsigned);
      }
  }
  
  /* CIntFromPy */
    static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *x) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const char neg_one = (char) -1, const_zero = (char) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_Check(x))) {
          if (sizeof(char) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(char, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (char) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (char) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(char, digit, digits[0])
                  case 2:
                      if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(char) >= 2 * PyLong_SHIFT) {
                              return (char) (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(char) >= 3 * PyLong_SHIFT) {
                              return (char) (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(char) >= 4 * PyLong_SHIFT) {
                              return (char) (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                          }
                      }
                      break;
              }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
  #else
              {
                  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                  if (unlikely(result < 0))
                      return (char) -1;
                  if (unlikely(result == 1))
                      goto raise_neg_overflow;
              }
  #endif
              if (sizeof(char) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(char, unsigned long, PyLong_AsUnsignedLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
  #endif
              }
          } else {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (char) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(char, sdigit, (sdigit) (-(sdigit)digits[0]))
                  case  1: __PYX_VERIFY_RETURN_INT(char,  digit, +digits[0])
                  case -2:
                      if (8 * sizeof(char) - 1 > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                              return (char) (((char)-1)*(((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                              return (char) ((((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                              return (char) (((char)-1)*(((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                              return (char) ((((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
                              return (char) (((char)-1)*(((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
                              return (char) ((((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                          }
                      }
                      break;
              }
  #endif
              if (sizeof(char) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(char, long, PyLong_AsLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))
  #endif
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              char val;
              PyObject *v = __Pyx_PyNumber_IntOrLong(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (char) -1;
          }
      } else {
          char val;
          PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
          if (!tmp) return (char) -1;
          val = __Pyx_PyInt_As_char(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to char");
      return (char) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to char");
      return (char) -1;
  }
  
  /* CheckBinaryVersion */
    static int __Pyx_check_binary_version(void) {
      char ctversion[4], rtversion[4];
      PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
      PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
      if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
          char message[200];
          PyOS_snprintf(message, sizeof(message),
                        "compiletime version %s of module '%.100s' "
                        "does not match runtime version %s",
                        ctversion, __Pyx_MODULE_NAME, rtversion);
          return PyErr_WarnEx(NULL, message, 1);
      }
      return 0;
  }
  
  /* FunctionImport */
    #ifndef __PYX_HAVE_RT_ImportFunction
  #define __PYX_HAVE_RT_ImportFunction
  static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
      PyObject *d = 0;
      PyObject *cobj = 0;
      union {
          void (*fp)(void);
          void *p;
      } tmp;
      d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
      if (!d)
          goto bad;
      cobj = PyDict_GetItemString(d, funcname);
      if (!cobj) {
          PyErr_Format(PyExc_ImportError,
              "%.200s does not export expected C function %.200s",
                  PyModule_GetName(module), funcname);
          goto bad;
      }
  #if PY_VERSION_HEX >= 0x02070000
      if (!PyCapsule_IsValid(cobj, sig)) {
          PyErr_Format(PyExc_TypeError,
              "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
               PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
          goto bad;
      }
      tmp.p = PyCapsule_GetPointer(cobj, sig);
  #else
      {const char *desc, *s1, *s2;
      desc = (const char *)PyCObject_GetDesc(cobj);
      if (!desc)
          goto bad;
      s1 = desc; s2 = sig;
      while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
      if (*s1 != *s2) {
          PyErr_Format(PyExc_TypeError,
              "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
               PyModule_GetName(module), funcname, sig, desc);
          goto bad;
      }
      tmp.p = PyCObject_AsVoidPtr(cobj);}
  #endif
      *f = tmp.fp;
      if (!(*f))
          goto bad;
      Py_DECREF(d);
      return 0;
  bad:
      Py_XDECREF(d);
      return -1;
  }
  #endif
  
  /* InitStrings */
    static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
      while (t->p) {
          #if PY_MAJOR_VERSION < 3
          if (t->is_unicode) {
              *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
          } else if (t->intern) {
              *t->p = PyString_InternFromString(t->s);
          } else {
              *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
          }
          #else
          if (t->is_unicode | t->is_str) {
              if (t->intern) {
                  *t->p = PyUnicode_InternFromString(t->s);
              } else if (t->encoding) {
                  *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
              } else {
                  *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
              }
          } else {
              *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
          }
          #endif
          if (!*t->p)
              return -1;
          if (PyObject_Hash(*t->p) == -1)
              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 const char* __Pyx_PyObject_AsString(PyObject* o) {
      Py_ssize_t ignore;
      return __Pyx_PyObject_AsStringAndSize(o, &ignore);
  }
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
  #if !CYTHON_PEP393_ENABLED
  static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
      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
  static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
      if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
      if (likely(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
  #endif
  static CYTHON_INLINE const 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)) {
          return __Pyx_PyUnicode_AsStringAndSize(o, length);
      } else
  #endif
  #if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
      if (PyByteArray_Check(o)) {
          *length = PyByteArray_GET_SIZE(o);
          return PyByteArray_AS_STRING(o);
      } else
  #endif
      {
          char* result;
          int r = PyBytes_AsStringAndSize(o, &result, length);
          if (unlikely(r < 0)) {
              return NULL;
          } else {
              return result;
          }
      }
  }
  static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
     int is_true = x == Py_True;
     if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
     else return PyObject_IsTrue(x);
  }
  static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
      int retval;
      if (unlikely(!x)) return -1;
      retval = __Pyx_PyObject_IsTrue(x);
      Py_DECREF(x);
      return retval;
  }
  static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
  #if PY_MAJOR_VERSION >= 3
      if (PyLong_Check(result)) {
          if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                  "__int__ returned non-int (type %.200s).  "
                  "The ability to return an instance of a strict subclass of int "
                  "is deprecated, and may be removed in a future version of Python.",
                  Py_TYPE(result)->tp_name)) {
              Py_DECREF(result);
              return NULL;
          }
          return result;
      }
  #endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   type_name, type_name, Py_TYPE(result)->tp_name);
      Py_DECREF(result);
      return NULL;
  }
  static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
  #if CYTHON_USE_TYPE_SLOTS
    PyNumberMethods *m;
  #endif
    const char *name = NULL;
    PyObject *res = NULL;
  #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x) || PyLong_Check(x)))
  #else
    if (likely(PyLong_Check(x)))
  #endif
      return __Pyx_NewRef(x);
  #if CYTHON_USE_TYPE_SLOTS
    m = Py_TYPE(x)->tp_as_number;
    #if PY_MAJOR_VERSION < 3
    if (m && m->nb_int) {
      name = "int";
      res = m->nb_int(x);
    }
    else if (m && m->nb_long) {
      name = "long";
      res = m->nb_long(x);
    }
    #else
    if (likely(m && m->nb_int)) {
      name = "int";
      res = m->nb_int(x);
    }
    #endif
  #else
    if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
      res = PyNumber_Int(x);
    }
  #endif
    if (likely(res)) {
  #if PY_MAJOR_VERSION < 3
      if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
  #else
      if (unlikely(!PyLong_CheckExact(res))) {
  #endif
          return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
      }
    }
    else if (!PyErr_Occurred()) {
      PyErr_SetString(PyExc_TypeError,
                      "an integer is required");
    }
    return res;
  }
  static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
    Py_ssize_t ival;
    PyObject *x;
  #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(b))) {
      if (sizeof(Py_ssize_t) >= sizeof(long))
          return PyInt_AS_LONG(b);
      else
          return PyInt_AsSsize_t(b);
    }
  #endif
    if (likely(PyLong_CheckExact(b))) {
      #if CYTHON_USE_PYLONG_INTERNALS
      const digit* digits = ((PyLongObject*)b)->ob_digit;
      const Py_ssize_t size = Py_SIZE(b);
      if (likely(__Pyx_sst_abs(size) <= 1)) {
          ival = likely(size) ? digits[0] : 0;
          if (size == -1) ival = -ival;
          return ival;
      } else {
        switch (size) {
           case 2:
             if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
               return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case -2:
             if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
               return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case 3:
             if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
               return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case -3:
             if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
               return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case 4:
             if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
               return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case -4:
             if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
               return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
        }
      }
      #endif
      return PyLong_AsSsize_t(b);
    }
    x = PyNumber_Index(b);
    if (!x) return -1;
    ival = PyInt_AsSsize_t(x);
    Py_DECREF(x);
    return ival;
  }
  static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
    return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
  }
  static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
      return PyInt_FromSize_t(ival);
  }
  
  
  #endif /* Py_PYTHON_H */
  