/* Generated by Cython 0.28.2 */

#define PY_SSIZE_T_CLEAN
#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
    #error Cython requires Python 2.6+ or Python 3.3+.
#else
#define CYTHON_ABI "0_28_2"
#define CYTHON_FUTURE_DIVISION 0
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(WIN32) && !defined(MS_WINDOWS)
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    #define __fastcall
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#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef HAVE_LONG_LONG
  #if PY_VERSION_HEX >= 0x02070000
    #define HAVE_LONG_LONG
  #endif
#endif
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#ifdef PYPY_VERSION
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
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    #define CYTHON_USE_ASYNC_SLOTS 0
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    #define CYTHON_USE_ASYNC_SLOTS 1
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  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
#elif defined(PYSTON_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
#else
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #if PY_VERSION_HEX < 0x02070000
    #undef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 0
  #elif !defined(CYTHON_USE_PYTYPE_LOOKUP)
    #define CYTHON_USE_PYTYPE_LOOKUP 1
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  #if PY_MAJOR_VERSION < 3
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #if PY_VERSION_HEX < 0x02070000
    #undef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 0
  #elif !defined(CYTHON_USE_PYLONG_INTERNALS)
    #define CYTHON_USE_PYLONG_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 1
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  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
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  #if PY_VERSION_HEX < 0x030300F0
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    #define CYTHON_USE_UNICODE_WRITER 0
  #elif !defined(CYTHON_USE_UNICODE_WRITER)
    #define CYTHON_USE_UNICODE_WRITER 1
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  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
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  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
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  #ifndef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #endif
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT (0 && PY_VERSION_HEX >= 0x03050000)
  #endif
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
  #undef SHIFT
  #undef BASE
  #undef MASK
#endif
#ifndef __has_attribute
  #define __has_attribute(x) 0
#endif
#ifndef __has_cpp_attribute
  #define __has_cpp_attribute(x) 0
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_MAYBE_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x)
#  endif
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
           typedef unsigned char     uint8_t;
           typedef unsigned int      uint32_t;
        #else
           typedef unsigned __int8   uint8_t;
           typedef unsigned __int32  uint32_t;
        #endif
    #endif
#else
   #include <stdint.h>
#endif
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus) && __cplusplus >= 201103L
    #if __has_cpp_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH [[fallthrough]]
    #elif __has_cpp_attribute(clang::fallthrough)
      #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
    #elif __has_cpp_attribute(gnu::fallthrough)
      #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
    #endif
  #endif
  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
    #else
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
  #if defined(__clang__ ) && defined(__apple_build_version__)
    #if __apple_build_version__ < 7000000
      #undef  CYTHON_FALLTHROUGH
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
#endif

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

#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
  #define Py_OptimizeFlag 0
#endif
#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#if PY_MAJOR_VERSION < 3
  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #define __Pyx_DefaultClassType PyClass_Type
#else
  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #define __Pyx_DefaultClassType PyType_Type
#endif
#ifndef Py_TPFLAGS_CHECKTYPES
  #define Py_TPFLAGS_CHECKTYPES 0
#endif
#ifndef Py_TPFLAGS_HAVE_INDEX
  #define Py_TPFLAGS_HAVE_INDEX 0
#endif
#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#endif
#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
  #endif
  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                          Py_ssize_t nargs, PyObject *kwnames);
#else
  #define __Pyx_PyCFunctionFast _PyCFunctionFast
  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
#endif
#if CYTHON_FAST_PYCCALL
#define __Pyx_PyFastCFunction_Check(func)\
    ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS)))))
#else
#define __Pyx_PyFastCFunction_Check(func) 0
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#if CYTHON_COMPILING_IN_PYSTON
  #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
#endif
#if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#elif PY_VERSION_HEX >= 0x03060000
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#elif PY_VERSION_HEX >= 0x03000000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_Current
#endif
#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
#include "pythread.h"
#define Py_tss_NEEDS_INIT 0
typedef int Py_tss_t;
static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
  *key = PyThread_create_key();
  return 0; // PyThread_create_key reports success always
}
static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
  *key = Py_tss_NEEDS_INIT;
  return key;
}
static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
  PyObject_Free(key);
}
static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
  return *key != Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
  PyThread_delete_key(*key);
  *key = Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
  return PyThread_set_key_value(*key, value);
}
static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
  return PyThread_get_key_value(*key);
}
#endif // TSS (Thread Specific Storage) API
#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
#else
#define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
#endif
#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                              0 : _PyUnicode_Ready((PyObject *)(op)))
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
#else
  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
  #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
  #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
  #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
  #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
#endif
#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#endif
#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)
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#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
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  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : (Py_INCREF(func), 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_ERR(f_index, lineno, Ln_error) \
{ \
  __pyx_filename = __pyx_f[f_index]; __pyx_lineno = lineno; __pyx_clineno = __LINE__; 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__glove_inner
#define __PYX_HAVE_API__glove_inner
/* Early includes */
#include <string.h>
#include <stdio.h>
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "voidptr.h"
#include <math.h>
#include <stdlib.h>
#include "vfast_invsqrt.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_DEFAULT 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #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)
#define __Pyx_PyBool_FromLong(b) ((b) ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False))
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
#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));
    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;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static PyObject *__pyx_empty_unicode;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;

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


static const char *__pyx_f[] = {
  "src/glove_inner.pyx",
  "__init__.pxd",
  "type.pxd",
};
/* 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()

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


/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":730
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":731
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":732
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":733
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":737
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":738
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":739
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":740
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":744
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":745
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":754
 * # The int types are mapped a bit surprising --
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
 */
typedef npy_long __pyx_t_5numpy_int_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":755
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":756
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":758
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":759
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":760
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":762
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":763
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":765
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
 */
typedef npy_double __pyx_t_5numpy_float_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":766
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":767
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;

/* "glove_inner.pxd":2
 * cimport numpy as np
 * ctypedef np.float32_t REAL_t             # <<<<<<<<<<<<<<
 * ctypedef np.uint32_t UINT_t
 * 
 */
typedef __pyx_t_5numpy_float32_t __pyx_t_11glove_inner_REAL_t;

/* "glove_inner.pxd":3
 * cimport numpy as np
 * ctypedef np.float32_t REAL_t
 * ctypedef np.uint32_t UINT_t             # <<<<<<<<<<<<<<
 * 
 * cdef extern from "voidptr.h":
 */
typedef __pyx_t_5numpy_uint32_t __pyx_t_11glove_inner_UINT_t;
/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif
static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

/* Declarations.proto */
#if CYTHON_CCOMPLEX
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    typedef ::std::complex< double > __pyx_t_double_complex;
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static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);


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

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":769
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":770
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":771
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "../../../../../../../usr/local/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":773
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_t_11glove_inner_NNConfig;

/* "glove_inner.pxd":9
 * 
 * # BLAS routine signatures
 * ctypedef void (*scopy_ptr) (const int *N, const float *X, const int *incX, float *Y, const int *incY) nogil             # <<<<<<<<<<<<<<
 * ctypedef void (*saxpy_ptr) (const int *N, const float *alpha, const float *X, const int *incX, float *Y, const int *incY) nogil
 * ctypedef float (*sdot_ptr) (const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil
 */
typedef void (*__pyx_t_11glove_inner_scopy_ptr)(int const *, float const *, int const *, float *, int const *);

/* "glove_inner.pxd":10
 * # BLAS routine signatures
 * ctypedef void (*scopy_ptr) (const int *N, const float *X, const int *incX, float *Y, const int *incY) nogil
 * ctypedef void (*saxpy_ptr) (const int *N, const float *alpha, const float *X, const int *incX, float *Y, const int *incY) nogil             # <<<<<<<<<<<<<<
 * ctypedef float (*sdot_ptr) (const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil
 * ctypedef double (*dsdot_ptr) (const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil
 */
typedef void (*__pyx_t_11glove_inner_saxpy_ptr)(int const *, float const *, float const *, int const *, float *, int const *);

/* "glove_inner.pxd":11
 * ctypedef void (*scopy_ptr) (const int *N, const float *X, const int *incX, float *Y, const int *incY) nogil
 * ctypedef void (*saxpy_ptr) (const int *N, const float *alpha, const float *X, const int *incX, float *Y, const int *incY) nogil
 * ctypedef float (*sdot_ptr) (const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil             # <<<<<<<<<<<<<<
 * ctypedef double (*dsdot_ptr) (const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil
 * ctypedef double (*snrm2_ptr) (const int *N, const float *X, const int *incX) nogil
 */
typedef float (*__pyx_t_11glove_inner_sdot_ptr)(int const *, float const *, int const *, float const *, int const *);

/* "glove_inner.pxd":12
 * ctypedef void (*saxpy_ptr) (const int *N, const float *alpha, const float *X, const int *incX, float *Y, const int *incY) nogil
 * ctypedef float (*sdot_ptr) (const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil
 * ctypedef double (*dsdot_ptr) (const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil             # <<<<<<<<<<<<<<
 * ctypedef double (*snrm2_ptr) (const int *N, const float *X, const int *incX) nogil
 * ctypedef void (*sscal_ptr) (const int *N, const float *alpha, const float *X, const int *incX) nogil
 */
typedef double (*__pyx_t_11glove_inner_dsdot_ptr)(int const *, float const *, int const *, float const *, int const *);

/* "glove_inner.pxd":13
 * ctypedef float (*sdot_ptr) (const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil
 * ctypedef double (*dsdot_ptr) (const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil
 * ctypedef double (*snrm2_ptr) (const int *N, const float *X, const int *incX) nogil             # <<<<<<<<<<<<<<
 * ctypedef void (*sscal_ptr) (const int *N, const float *alpha, const float *X, const int *incX) nogil
 * ctypedef void (*ssbmv_ptr) (const char *uplo, const int *N, const int *K, const float *alpha, const float **A,
 */
typedef double (*__pyx_t_11glove_inner_snrm2_ptr)(int const *, float const *, int const *);

/* "glove_inner.pxd":14
 * ctypedef double (*dsdot_ptr) (const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil
 * ctypedef double (*snrm2_ptr) (const int *N, const float *X, const int *incX) nogil
 * ctypedef void (*sscal_ptr) (const int *N, const float *alpha, const float *X, const int *incX) nogil             # <<<<<<<<<<<<<<
 * ctypedef void (*ssbmv_ptr) (const char *uplo, const int *N, const int *K, const float *alpha, const float **A,
 *                             const int *lda, const float *X, const int *incX, const float *beta, const float *Y,
 */
typedef void (*__pyx_t_11glove_inner_sscal_ptr)(int const *, float const *, float const *, int const *);

/* "glove_inner.pxd":15
 * ctypedef double (*snrm2_ptr) (const int *N, const float *X, const int *incX) nogil
 * ctypedef void (*sscal_ptr) (const int *N, const float *alpha, const float *X, const int *incX) nogil
 * ctypedef void (*ssbmv_ptr) (const char *uplo, const int *N, const int *K, const float *alpha, const float **A,             # <<<<<<<<<<<<<<
 *                             const int *lda, const float *X, const int *incX, const float *beta, const float *Y,
 *                             const int *incY) nogil
 */
typedef void (*__pyx_t_11glove_inner_ssbmv_ptr)(char const *, int const *, int const *, float const *, float const **, int const *, float const *, int const *, float const *, float const *, int const *);

/* "glove_inner.pxd":33
 * 
 * # function implementations swapped based on BLAS detected in word2vec_inner.pyx init()
 * ctypedef REAL_t (*our_dot_ptr) (const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil             # <<<<<<<<<<<<<<
 * ctypedef void (*our_saxpy_ptr) (const int *N, const float *alpha, const float *X, const int *incX, float *Y, const int *incY) nogil
 * 
 */
typedef __pyx_t_11glove_inner_REAL_t (*__pyx_t_11glove_inner_our_dot_ptr)(int const *, float const *, int const *, float const *, int const *);

/* "glove_inner.pxd":34
 * # function implementations swapped based on BLAS detected in word2vec_inner.pyx init()
 * ctypedef REAL_t (*our_dot_ptr) (const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil
 * ctypedef void (*our_saxpy_ptr) (const int *N, const float *alpha, const float *X, const int *incX, float *Y, const int *incY) nogil             # <<<<<<<<<<<<<<
 * 
 * cdef our_dot_ptr our_dot
 */
typedef void (*__pyx_t_11glove_inner_our_saxpy_ptr)(int const *, float const *, float const *, int const *, float *, int const *);

/* "glove_inner.pyx":57
 * cdef REAL_t MINUS_ONEF = <REAL_t>-1.0
 * 
 * cdef enum DistFuncType:             # <<<<<<<<<<<<<<
 *     UNK_DIST_FUNC=0
 *     DIST=1  # use -dist as similarity during training; when used for mix-poincare it will use
 */
enum __pyx_t_11glove_inner_DistFuncType {
  __pyx_e_11glove_inner_UNK_DIST_FUNC = 0,
  __pyx_e_11glove_inner_DIST = 1,
  __pyx_e_11glove_inner_DIST_SQ = 2,
  __pyx_e_11glove_inner_COSH_DIST = 3,
  __pyx_e_11glove_inner_NN = 4,
  __pyx_e_11glove_inner_COSH_DIST_SQ = 5,
  __pyx_e_11glove_inner_LOG_DIST_SQ = 6,
  __pyx_e_11glove_inner_COSH_DIST_POW_K = 7
};

/* "glove_inner.pyx":69
 *     COSH_DIST_POW_K=7  # use -cosh(dist)^k as similarity function during training
 * 
 * cdef enum EmbType:             # <<<<<<<<<<<<<<
 *     UNK_EMB=0
 *     VANILLA=1  # use dot product for training
 */
enum __pyx_t_11glove_inner_EmbType {
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  __pyx_e_11glove_inner_VANILLA = 1,
  __pyx_e_11glove_inner_EUCLID = 2,
  __pyx_e_11glove_inner_POINCARE = 3,
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};

/* "glove_inner.pyx":76
 *     MIX_POINCARE=4  # use mix-Poincare distance for training
 * 
 * cdef enum OptType:             # <<<<<<<<<<<<<<
 *     UNK_OPT=0
 *     ADAGRAD=1  # Euclidean ADAGRAD (like in vanilla GloVe)
 */
enum __pyx_t_11glove_inner_OptType {
  __pyx_e_11glove_inner_UNK_OPT = 0,
  __pyx_e_11glove_inner_ADAGRAD = 1,
  __pyx_e_11glove_inner_FullRSGD = 2,
  __pyx_e_11glove_inner_WeightedFullRSGD = 3,
  __pyx_e_11glove_inner_RADAGRAD = 4,
  __pyx_e_11glove_inner_MixRADAGRAD = 5,
  __pyx_e_11glove_inner_RAMSGRAD = 6
};

/* "glove_inner.pyx":85
 *     RAMSGRAD=6  # Riemannian AMSgrad
 * 
 * cdef enum PositiveNonlinearity:             # <<<<<<<<<<<<<<
 *     UNK_NONLIN=0
 *     RELU=1
 */
enum __pyx_t_11glove_inner_PositiveNonlinearity {
  __pyx_e_11glove_inner_UNK_NONLIN = 0,
  __pyx_e_11glove_inner_RELU = 1,
  __pyx_e_11glove_inner_SIGMOID = 2,
  __pyx_e_11glove_inner_ID = 3
};

/* "glove_inner.pyx":91
 *     ID=3
 * 
 * cdef struct NNConfig:             # <<<<<<<<<<<<<<
 *     int num_nodes
 *     PositiveNonlinearity nonlinearity
 */
struct __pyx_t_11glove_inner_NNConfig {
  int num_nodes;
  enum __pyx_t_11glove_inner_PositiveNonlinearity nonlinearity;
  __pyx_t_11glove_inner_REAL_t *weights;
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static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
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#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
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#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
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#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
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/* RaiseException.proto */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);

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

/* SaveResetException.proto */
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#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
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#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
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/* PyErrExceptionMatches.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
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#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
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/* GetException.proto */
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#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
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static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
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/* Import.proto */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

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

/* GetModuleGlobalName.proto */
static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name);

/* CLineInTraceback.proto */
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#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
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static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
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/* CodeObjectCache.proto */
typedef struct {
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struct __Pyx_CodeObjectCache {
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};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);

/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
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/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

/* Print.proto */
static int __Pyx_Print(PyObject*, PyObject *, int);
#if CYTHON_COMPILING_IN_PYPY || PY_MAJOR_VERSION >= 3
static PyObject* __pyx_print = 0;
static PyObject* __pyx_print_kwargs = 0;
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/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

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  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
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    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
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    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
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#if defined(__cplusplus) && CYTHON_CCOMPLEX\
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    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
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    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
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/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
    #define __Pyx_c_diff_float(a, b) ((a)-(b))
    #define __Pyx_c_prod_float(a, b) ((a)*(b))
    #define __Pyx_c_quot_float(a, b) ((a)/(b))
    #define __Pyx_c_neg_float(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
    #define __Pyx_c_conj_float(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (::std::abs(z))
        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
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  #else
    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (cabsf(z))
        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
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    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
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/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
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    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
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    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
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/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value);

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

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

/* PrintOne.proto */
static int __Pyx_PrintOne(PyObject* stream, PyObject *o);

/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
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#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
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#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)

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

/* VoidPtrExport.proto */
static int __Pyx_ExportVoidPtr(PyObject *name, void *p, const char *sig);

/* FunctionExport.proto */
static int __Pyx_ExportFunction(const char *name, void (*f)(void), const char *sig);

/* PyIdentifierFromString.proto */
#if !defined(__Pyx_PyIdentifier_FromString)
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/* ModuleImport.proto */
static PyObject *__Pyx_ImportModule(const char *name);

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

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


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

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

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

/* Module declarations from '__builtin__' */

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

/* Module declarations from 'cpython' */

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

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

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

/* Module declarations from 'numpy' */

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

/* Module declarations from 'cython' */

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

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

/* Module declarations from 'glove_inner' */
static __pyx_t_11glove_inner_scopy_ptr __pyx_v_11glove_inner_scopy;
static __pyx_t_11glove_inner_saxpy_ptr __pyx_v_11glove_inner_saxpy;
static __pyx_t_11glove_inner_sdot_ptr __pyx_v_11glove_inner_sdot;
static __pyx_t_11glove_inner_dsdot_ptr __pyx_v_11glove_inner_dsdot;
static __pyx_t_11glove_inner_snrm2_ptr __pyx_v_11glove_inner_snrm2;
static __pyx_t_11glove_inner_sscal_ptr __pyx_v_11glove_inner_sscal;
static __pyx_t_11glove_inner_ssbmv_ptr __pyx_v_11glove_inner_ssbmv;
static __pyx_t_11glove_inner_REAL_t __pyx_v_11glove_inner_EXP_TABLE[0x3E8];
static __pyx_t_11glove_inner_our_dot_ptr __pyx_v_11glove_inner_our_dot;
static __pyx_t_11glove_inner_our_saxpy_ptr __pyx_v_11glove_inner_our_saxpy;
static __pyx_t_11glove_inner_REAL_t __pyx_v_11glove_inner_X_MAX;
static __pyx_t_11glove_inner_REAL_t __pyx_v_11glove_inner_ALPHA;
static int __pyx_v_11glove_inner_ZERO;
static float __pyx_v_11glove_inner_ZEROF;
static int __pyx_v_11glove_inner_ONE;
static __pyx_t_11glove_inner_REAL_t __pyx_v_11glove_inner_ONEF;
static __pyx_t_11glove_inner_REAL_t __pyx_v_11glove_inner_MINUS_ONEF;
static __pyx_t_11glove_inner_REAL_t __pyx_f_11glove_inner_our_dot_double(int const *, float const *, int const *, float const *, int const *); /*proto*/
static __pyx_t_11glove_inner_REAL_t __pyx_f_11glove_inner_our_dot_float(int const *, float const *, int const *, float const *, int const *); /*proto*/
static __pyx_t_11glove_inner_REAL_t __pyx_f_11glove_inner_our_dot_noblas(int const *, float const *, int const *, float const *, int const *); /*proto*/
static void __pyx_f_11glove_inner_our_saxpy_noblas(int const *, float const *, float const *, int const *, float *, int const *); /*proto*/
static void __pyx_f_11glove_inner_clamp(float *, int, float, float); /*proto*/
static float __pyx_f_11glove_inner_clamp_scalar(float, float, float); /*proto*/
static CYTHON_INLINE int __pyx_f_11glove_inner_is_number(__pyx_t_11glove_inner_REAL_t const ); /*proto*/
static float __pyx_f_11glove_inner_our_tanh(float const ); /*proto*/
static float __pyx_f_11glove_inner_vec_max(int const , float *); /*proto*/
static float __pyx_f_11glove_inner_vec_min(int const , float *); /*proto*/
static void __pyx_f_11glove_inner_vanilla_similarity(__pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, int const , enum __pyx_t_11glove_inner_DistFuncType const , struct __pyx_t_11glove_inner_NNConfig const , __pyx_t_11glove_inner_REAL_t *); /*proto*/
static void __pyx_f_11glove_inner_euclidean_similarity(__pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, int const , enum __pyx_t_11glove_inner_DistFuncType const ); /*proto*/
static CYTHON_INLINE double __pyx_f_11glove_inner_relu(double, __pyx_t_11glove_inner_REAL_t *); /*proto*/
static CYTHON_INLINE double __pyx_f_11glove_inner_sigmoid(double, __pyx_t_11glove_inner_REAL_t *); /*proto*/
static void __pyx_f_11glove_inner_f_nn(double const , struct __pyx_t_11glove_inner_NNConfig const , __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *); /*proto*/
static void __pyx_f_11glove_inner_mix_poincare_similarity(__pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, int const , int const , enum __pyx_t_11glove_inner_DistFuncType const , __pyx_t_11glove_inner_REAL_t const , int *); /*proto*/
static void __pyx_f_11glove_inner_poincare_similarity(__pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, int const , enum __pyx_t_11glove_inner_DistFuncType const , __pyx_t_11glove_inner_REAL_t const , int *); /*proto*/
static CYTHON_INLINE __pyx_t_11glove_inner_REAL_t __pyx_f_11glove_inner_weight_func(__pyx_t_11glove_inner_REAL_t const ); /*proto*/
static CYTHON_INLINE void __pyx_f_11glove_inner_update_embedding(int const , __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *); /*proto*/
static CYTHON_INLINE void __pyx_f_11glove_inner_update_embedding_full_rsgd(int const , __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t, __pyx_t_11glove_inner_REAL_t *); /*proto*/
static CYTHON_INLINE void __pyx_f_11glove_inner_update_embedding_ramsgrad(int const , __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *); /*proto*/
static CYTHON_INLINE void __pyx_f_11glove_inner_update_embedding_radagrad(int const , __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *); /*proto*/
static CYTHON_INLINE void __pyx_f_11glove_inner_update_embedding_mix_radagrad(int const , int const , __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *); /*proto*/
static CYTHON_INLINE void __pyx_f_11glove_inner_get_similarity_and_gradients(enum __pyx_t_11glove_inner_EmbType const , int const , int const , __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, float *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, enum __pyx_t_11glove_inner_DistFuncType const , int *, int const , struct __pyx_t_11glove_inner_NNConfig const , __pyx_t_11glove_inner_REAL_t *); /*proto*/
static void __pyx_f_11glove_inner_fast_glove(enum __pyx_t_11glove_inner_EmbType const , int const , double (*)(double), enum __pyx_t_11glove_inner_DistFuncType const , struct __pyx_t_11glove_inner_NNConfig const , int const , __pyx_t_11glove_inner_REAL_t *, char const *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, __pyx_t_11glove_inner_REAL_t *, int const , int const , int const , int const , int const , int const , int const , enum __pyx_t_11glove_inner_OptType const , __pyx_t_11glove_inner_REAL_t const , int const *, int const , int const , int const , __pyx_t_11glove_inner_REAL_t *, int *, int *); /*proto*/
static CYTHON_INLINE size_t __pyx_f_11glove_inner_read_triple(FILE *, int const , int const , int const , int *, int *, float *); /*proto*/
#define __Pyx_MODULE_NAME "glove_inner"
extern int __pyx_module_is_main_glove_inner;
int __pyx_module_is_main_glove_inner = 0;

/* Implementation of 'glove_inner' */
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_open;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_ValueError;
static const char __pyx_k_i[] = "i";
static const char __pyx_k_p[] = "p";
static const char __pyx_k_r[] = "r";
static const char __pyx_k_x[] = "x";
static const char __pyx_k_y[] = "y";
static const char __pyx_k__4[] = "";
static const char __pyx_k__9[] = ".";
static const char __pyx_k_b0[] = "b0";
static const char __pyx_k_b1[] = "b1";
static const char __pyx_k_fp[] = "fp";
static const char __pyx_k_id[] = "id";
static const char __pyx_k_lr[] = "lr";
static const char __pyx_k_nn[] = "nn";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_w1[] = "w1";
static const char __pyx_k_w2[] = "w2";
static const char __pyx_k_wv[] = "wv";
static const char __pyx_k__11[] = "\t";
static const char __pyx_k__14[] = " ";
static const char __pyx_k__24[] = "*";
static const char __pyx_k_add[] = "add";
static const char __pyx_k_bin[] = ".bin";
static const char __pyx_k_end[] = "end";
static const char __pyx_k_fin[] = "fin";
static const char __pyx_k_key[] = "key";
static const char __pyx_k_log[] = "log";
static const char __pyx_k_REAL[] = "REAL";
static const char __pyx_k_dist[] = "dist";
static const char __pyx_k_file[] = "file";
static const char __pyx_k_fout[] = "fout";
static const char __pyx_k_init[] = "init";
static const char __pyx_k_line[] = "line";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_open[] = "open";
static const char __pyx_k_relu[] = "relu";
static const char __pyx_k_sdot[] = "sdot";
static const char __pyx_k_size[] = "size";
static const char __pyx_k_syn0[] = "syn0";
static const char __pyx_k_syn1[] = "syn1";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_count[] = "count";
static const char __pyx_k_d_res[] = "d_res";
static const char __pyx_k_debug[] = "debug";
static const char __pyx_k_dsdot[] = "dsdot";
static const char __pyx_k_fblas[] = "fblas";
static const char __pyx_k_model[] = "model";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_p_res[] = "p_res";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_saxpy[] = "saxpy";
static const char __pyx_k_scopy[] = "scopy";
static const char __pyx_k_snrm2[] = "snrm2";
static const char __pyx_k_split[] = "split";
static const char __pyx_k_ssbmv[] = "ssbmv";
static const char __pyx_k_sscal[] = "sscal";
static const char __pyx_k_strip[] = "strip";
static const char __pyx_k_vocab[] = "_vocab";
static const char __pyx_k_word1[] = "word1";
static const char __pyx_k_word2[] = "word2";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_euclid[] = "euclid";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_mom_b0[] = "mom_b0";
static const char __pyx_k_mom_b1[] = "mom_b1";
static const char __pyx_k_output[] = "output";
static const char __pyx_k_rsplit[] = "rsplit";
static const char __pyx_k_adagrad[] = "adagrad";
static const char __pyx_k_dist_sq[] = "dist-sq";
static const char __pyx_k_float32[] = "float32";
static const char __pyx_k_in_file[] = "in_file";
static const char __pyx_k_opt_str[] = "opt_str";
static const char __pyx_k_our_dot[] = "our_dot";
static const char __pyx_k_sigmoid[] = "sigmoid";
static const char __pyx_k_vectors[] = "vectors";
static const char __pyx_k_basename[] = "basename";
static const char __pyx_k_betas_b0[] = "betas_b0";
static const char __pyx_k_betas_b1[] = "betas_b1";
static const char __pyx_k_bin_file[] = "bin_file";
static const char __pyx_k_cpointer[] = "_cpointer";
static const char __pyx_k_emb_type[] = "emb_type";
static const char __pyx_k_expected[] = "expected";
static const char __pyx_k_filename[] = "filename";
static const char __pyx_k_fullrsgd[] = "fullrsgd";
static const char __pyx_k_get_attr[] = "get_attr";
static const char __pyx_k_mom_syn0[] = "mom_syn0";
static const char __pyx_k_mom_syn1[] = "mom_syn1";
static const char __pyx_k_num_embs[] = "num_embs";
static const char __pyx_k_out_file[] = "out_file";
static const char __pyx_k_poincare[] = "poincare";
static const char __pyx_k_py_bytes[] = "py_bytes";
static const char __pyx_k_pyx_capi[] = "__pyx_capi__";
static const char __pyx_k_radagrad[] = "radagrad";
static const char __pyx_k_ramsgrad[] = "ramsgrad";
static const char __pyx_k_read_all[] = "read_all";
static const char __pyx_k_var_bias[] = "var_bias";
static const char __pyx_k_EXP_TABLE[] = "EXP_TABLE";
static const char __pyx_k_chunksize[] = "chunksize";
static const char __pyx_k_cosh_dist[] = "cosh-dist";
static const char __pyx_k_count_dbl[] = "count_dbl";
static const char __pyx_k_dist_func[] = "dist_func";
static const char __pyx_k_gradsq_b0[] = "gradsq_b0";
static const char __pyx_k_gradsq_b1[] = "gradsq_b1";
static const char __pyx_k_graph_map[] = "graph_map";
static const char __pyx_k_max_count[] = "max_count";
static const char __pyx_k_mean_bias[] = "mean_bias";
static const char __pyx_k_nn_config[] = "nn_config";
static const char __pyx_k_num_nodes[] = "num_nodes";
static const char __pyx_k_num_pairs[] = "num_pairs";
static const char __pyx_k_optimizer[] = "optimizer";
static const char __pyx_k_our_saxpy[] = "our_saxpy";
static const char __pyx_k_pairs_map[] = "pairs_map";
static const char __pyx_k_wfullrsgd[] = "wfullrsgd";
static const char __pyx_k_with_bias[] = "with_bias";
static const char __pyx_k_write_all[] = "write_all";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_betas_syn0[] = "betas_syn0";
static const char __pyx_k_betas_syn1[] = "betas_syn1";
static const char __pyx_k_coocc_file[] = "coocc_file";
static const char __pyx_k_coocc_func[] = "coocc_func";
static const char __pyx_k_epoch_loss[] = "epoch_loss";
static const char __pyx_k_for_euclid[] = "for euclid";
static const char __pyx_k_index2freq[] = "index2freq";
static const char __pyx_k_nn_weights[] = "nn_weights";
static const char __pyx_k_pair_count[] = "pair_count";
static const char __pyx_k_trainables[] = "trainables";
static const char __pyx_k_vocab_size[] = "vocab_size";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_glove_inner[] = "glove_inner";
static const char __pyx_k_gradsq_syn0[] = "gradsq_syn0";
static const char __pyx_k_gradsq_syn1[] = "gradsq_syn1";
static const char __pyx_k_in_bin_file[] = "in_bin_file";
static const char __pyx_k_in_py_bytes[] = "in_py_bytes";
static const char __pyx_k_log_dist_sq[] = "log-dist-sq";
static const char __pyx_k_mixradagrad[] = "mixradagrad";
static const char __pyx_k_num_workers[] = "num_workers";
static const char __pyx_k_use_scaling[] = "use_scaling";
static const char __pyx_k_vector_size[] = "vector_size";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_compute_loss[] = "compute_loss";
static const char __pyx_k_cosh_dist_sq[] = "cosh-dist-sq";
static const char __pyx_k_for_poincare[] = "for poincare";
static const char __pyx_k_mom_var_bias[] = "mom_var_bias";
static const char __pyx_k_nonlinearity[] = "nonlinearity";
static const char __pyx_k_out_bin_file[] = "out_bin_file";
static const char __pyx_k_out_py_bytes[] = "out_py_bytes";
static const char __pyx_k_return_pairs[] = "return_pairs";
static const char __pyx_k_cosh_dist_pow[] = "cosh-dist-pow-";
static const char __pyx_k_dist_func_str[] = "dist_func_str";
static const char __pyx_k_limited_vocab[] = "limited_vocab";
static const char __pyx_k_mom_mean_bias[] = "mom_mean_bias";
static const char __pyx_k_use_log_probs[] = "use_log_probs";
static const char __pyx_k_betas_var_bias[] = "betas_var_bias";
static const char __pyx_k_compute_loss_2[] = "_compute_loss";
static const char __pyx_k_coocc_func_str[] = "coocc_func_str";
static const char __pyx_k_max_word_index[] = "max_word_index";
static const char __pyx_k_nn_output_bias[] = "nn_output_bias";
static const char __pyx_k_restrict_vocab[] = "restrict_vocab";
static const char __pyx_k_scaling_factor[] = "scaling_factor";
static const char __pyx_k_betas_mean_bias[] = "betas_mean_bias";
static const char __pyx_k_coocc_file_path[] = "coocc_file_path";
static const char __pyx_k_cosh_dist_pow_2[] = "cosh_dist_pow";
static const char __pyx_k_gradsq_var_bias[] = "gradsq_var_bias";
static const char __pyx_k_input_text_file[] = "input_text_file";
static const char __pyx_k_num_projections[] = "num_projections";
static const char __pyx_k_output_bin_file[] = "output_bin_file";
static const char __pyx_k_for_mix_poincare[] = "for mix-poincare";
static const char __pyx_k_gradsq_mean_bias[] = "gradsq_mean_bias";
static const char __pyx_k_use_glove_format[] = "use_glove_format";
static const char __pyx_k_scipy_linalg_blas[] = "scipy.linalg.blas";
static const char __pyx_k_train_glove_epoch[] = "train_glove_epoch";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_trained_pair_count[] = "trained_pair_count";
static const char __pyx_k_src_glove_inner_pyx[] = "src/glove_inner.pyx";
static const char __pyx_k_read_as_neighbor_lists[] = "read_as_neighbor_lists";
static const char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static const char __pyx_k_extract_restrict_vocab_pairs[] = "extract_restrict_vocab_pairs";
static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
static const char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static const char __pyx_k_Co_occ_matrix_is_not_symmetric_c[] = "Co-occ matrix is not symmetric! coocc({}, {}) = {} and coocc({}, {}) = {}";
static const char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static const char __pyx_k_Found_pairs_between_the_words_fr[] = "Found {} pairs between the words from the limited vocabulary";
static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static const char __pyx_k_Unrecognized_distance_function_t[] = "Unrecognized distance function type";
static const char __pyx_k_Unrecognized_similarity_function[] = "Unrecognized similarity function type";
static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static PyObject *__pyx_kp_s_Co_occ_matrix_is_not_symmetric_c;
static PyObject *__pyx_n_s_EXP_TABLE;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_kp_s_Found_pairs_between_the_words_fr;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_s_REAL;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_kp_s_Unrecognized_distance_function_t;
static PyObject *__pyx_kp_s_Unrecognized_similarity_function;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_kp_s__11;
static PyObject *__pyx_kp_s__14;
static PyObject *__pyx_n_s__24;
static PyObject *__pyx_kp_s__4;
static PyObject *__pyx_kp_s__9;
static PyObject *__pyx_n_s_adagrad;
static PyObject *__pyx_n_s_add;
static PyObject *__pyx_n_s_b0;
static PyObject *__pyx_n_s_b1;
static PyObject *__pyx_n_s_basename;
static PyObject *__pyx_n_s_betas_b0;
static PyObject *__pyx_n_s_betas_b1;
static PyObject *__pyx_n_s_betas_mean_bias;
static PyObject *__pyx_n_s_betas_syn0;
static PyObject *__pyx_n_s_betas_syn1;
static PyObject *__pyx_n_s_betas_var_bias;
static PyObject *__pyx_kp_s_bin;
static PyObject *__pyx_n_s_bin_file;
static PyObject *__pyx_n_s_chunksize;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_compute_loss;
static PyObject *__pyx_n_s_compute_loss_2;
static PyObject *__pyx_n_s_coocc_file;
static PyObject *__pyx_n_s_coocc_file_path;
static PyObject *__pyx_n_s_coocc_func;
static PyObject *__pyx_n_s_coocc_func_str;
static PyObject *__pyx_kp_s_cosh_dist;
static PyObject *__pyx_kp_s_cosh_dist_pow;
static PyObject *__pyx_n_s_cosh_dist_pow_2;
static PyObject *__pyx_kp_s_cosh_dist_sq;
static PyObject *__pyx_n_s_count;
static PyObject *__pyx_n_s_count_dbl;
static PyObject *__pyx_n_s_cpointer;
static PyObject *__pyx_n_s_d_res;
static PyObject *__pyx_n_s_debug;
static PyObject *__pyx_n_s_dist;
static PyObject *__pyx_n_s_dist_func;
static PyObject *__pyx_n_s_dist_func_str;
static PyObject *__pyx_kp_s_dist_sq;
static PyObject *__pyx_n_s_dsdot;
static PyObject *__pyx_n_s_emb_type;
static PyObject *__pyx_n_s_encode;
static PyObject *__pyx_n_s_end;
static PyObject *__pyx_n_s_epoch_loss;
static PyObject *__pyx_n_s_euclid;
static PyObject *__pyx_n_s_expected;
static PyObject *__pyx_n_s_extract_restrict_vocab_pairs;
static PyObject *__pyx_n_s_fblas;
static PyObject *__pyx_n_s_file;
static PyObject *__pyx_n_s_filename;
static PyObject *__pyx_n_s_fin;
static PyObject *__pyx_n_s_float32;
static PyObject *__pyx_kp_s_for_euclid;
static PyObject *__pyx_kp_s_for_mix_poincare;
static PyObject *__pyx_kp_s_for_poincare;
static PyObject *__pyx_n_s_format;
static PyObject *__pyx_n_s_fout;
static PyObject *__pyx_n_s_fp;
static PyObject *__pyx_n_s_fullrsgd;
static PyObject *__pyx_n_s_get_attr;
static PyObject *__pyx_n_s_glove_inner;
static PyObject *__pyx_n_s_gradsq_b0;
static PyObject *__pyx_n_s_gradsq_b1;
static PyObject *__pyx_n_s_gradsq_mean_bias;
static PyObject *__pyx_n_s_gradsq_syn0;
static PyObject *__pyx_n_s_gradsq_syn1;
static PyObject *__pyx_n_s_gradsq_var_bias;
static PyObject *__pyx_n_s_graph_map;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_id;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_in_bin_file;
static PyObject *__pyx_n_s_in_file;
static PyObject *__pyx_n_s_in_py_bytes;
static PyObject *__pyx_n_s_index2freq;
static PyObject *__pyx_n_s_init;
static PyObject *__pyx_n_s_input_text_file;
static PyObject *__pyx_n_s_key;
static PyObject *__pyx_n_s_limited_vocab;
static PyObject *__pyx_n_s_line;
static PyObject *__pyx_n_s_log;
static PyObject *__pyx_kp_s_log_dist_sq;
static PyObject *__pyx_n_s_lr;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_max_count;
static PyObject *__pyx_n_s_max_word_index;
static PyObject *__pyx_n_s_mean_bias;
static PyObject *__pyx_n_s_mixradagrad;
static PyObject *__pyx_n_s_model;
static PyObject *__pyx_n_s_mom_b0;
static PyObject *__pyx_n_s_mom_b1;
static PyObject *__pyx_n_s_mom_mean_bias;
static PyObject *__pyx_n_s_mom_syn0;
static PyObject *__pyx_n_s_mom_syn1;
static PyObject *__pyx_n_s_mom_var_bias;
static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous;
static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
static PyObject *__pyx_n_s_nn;
static PyObject *__pyx_n_s_nn_config;
static PyObject *__pyx_n_s_nn_output_bias;
static PyObject *__pyx_n_s_nn_weights;
static PyObject *__pyx_n_s_nonlinearity;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_num_embs;
static PyObject *__pyx_n_s_num_nodes;
static PyObject *__pyx_n_s_num_pairs;
static PyObject *__pyx_n_s_num_projections;
static PyObject *__pyx_n_s_num_workers;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_kp_s_numpy_core_multiarray_failed_to;
static PyObject *__pyx_kp_s_numpy_core_umath_failed_to_impor;
static PyObject *__pyx_n_s_open;
static PyObject *__pyx_n_s_opt_str;
static PyObject *__pyx_n_s_optimizer;
static PyObject *__pyx_n_s_our_dot;
static PyObject *__pyx_n_s_our_saxpy;
static PyObject *__pyx_n_s_out_bin_file;
static PyObject *__pyx_n_s_out_file;
static PyObject *__pyx_n_s_out_py_bytes;
static PyObject *__pyx_n_s_output;
static PyObject *__pyx_n_s_output_bin_file;
static PyObject *__pyx_n_s_p;
static PyObject *__pyx_n_s_p_res;
static PyObject *__pyx_n_s_pair_count;
static PyObject *__pyx_n_s_pairs_map;
static PyObject *__pyx_n_s_poincare;
static PyObject *__pyx_n_s_print;
static PyObject *__pyx_n_s_py_bytes;
static PyObject *__pyx_n_s_pyx_capi;
static PyObject *__pyx_n_s_r;
static PyObject *__pyx_n_s_radagrad;
static PyObject *__pyx_n_s_ramsgrad;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_read_all;
static PyObject *__pyx_n_s_read_as_neighbor_lists;
static PyObject *__pyx_n_s_relu;
static PyObject *__pyx_n_s_restrict_vocab;
static PyObject *__pyx_n_s_return_pairs;
static PyObject *__pyx_n_s_rsplit;
static PyObject *__pyx_n_s_saxpy;
static PyObject *__pyx_n_s_scaling_factor;
static PyObject *__pyx_n_s_scipy_linalg_blas;
static PyObject *__pyx_n_s_scopy;
static PyObject *__pyx_n_s_sdot;
static PyObject *__pyx_n_s_sigmoid;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_n_s_snrm2;
static PyObject *__pyx_n_s_split;
static PyObject *__pyx_kp_s_src_glove_inner_pyx;
static PyObject *__pyx_n_s_ssbmv;
static PyObject *__pyx_n_s_sscal;
static PyObject *__pyx_n_s_strip;
static PyObject *__pyx_n_s_syn0;
static PyObject *__pyx_n_s_syn1;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_train_glove_epoch;
static PyObject *__pyx_n_s_trainables;
static PyObject *__pyx_n_s_trained_pair_count;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_use_glove_format;
static PyObject *__pyx_n_s_use_log_probs;
static PyObject *__pyx_n_s_use_scaling;
static PyObject *__pyx_n_s_var_bias;
static PyObject *__pyx_n_s_vector_size;
static PyObject *__pyx_n_s_vectors;
static PyObject *__pyx_n_s_vocab;
static PyObject *__pyx_n_s_vocab_size;
static PyObject *__pyx_n_s_w1;
static PyObject *__pyx_n_s_w2;
static PyObject *__pyx_n_s_wfullrsgd;
static PyObject *__pyx_n_s_with_bias;
static PyObject *__pyx_n_s_word1;
static PyObject *__pyx_n_s_word2;
static PyObject *__pyx_n_s_write_all;
static PyObject *__pyx_n_s_wv;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_y;
static PyObject *__pyx_pf_11glove_inner_train_glove_epoch(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_model); /* proto */
static PyObject *__pyx_pf_11glove_inner_2write_all(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_input_text_file, PyObject *__pyx_v_use_glove_format, PyObject *__pyx_v_restrict_vocab); /* proto */
static PyObject *__pyx_pf_11glove_inner_4read_as_neighbor_lists(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_use_glove_format, PyObject *__pyx_v_filename, PyObject *__pyx_v_num_pairs, PyObject *__pyx_v_vocab_size, PyObject *__pyx_v_limited_vocab); /* proto */
static PyObject *__pyx_pf_11glove_inner_6extract_restrict_vocab_pairs(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_in_file, PyObject *__pyx_v_out_file, PyObject *__pyx_v_restrict_vocab); /* proto */
static PyObject *__pyx_pf_11glove_inner_8read_all(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_use_glove_format, PyObject *__pyx_v_filename, PyObject *__pyx_v_return_pairs); /* proto */
static PyObject *__pyx_pf_11glove_inner_10init(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static PyObject *__pyx_float_1_0;
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_2;
static PyObject *__pyx_int_50000;
static PyObject *__pyx_int_999999;
static PyObject *__pyx_k__13;
static PyObject *__pyx_tuple_;
static PyObject *__pyx_tuple__2;
static PyObject *__pyx_tuple__3;
static PyObject *__pyx_tuple__5;
static PyObject *__pyx_tuple__6;
static PyObject *__pyx_tuple__7;
static PyObject *__pyx_tuple__8;
static PyObject *__pyx_tuple__10;
static PyObject *__pyx_tuple__12;
static PyObject *__pyx_tuple__15;
static PyObject *__pyx_tuple__16;
static PyObject *__pyx_tuple__17;
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__25;
static PyObject *__pyx_tuple__27;
static PyObject *__pyx_tuple__29;
static PyObject *__pyx_tuple__31;
static PyObject *__pyx_tuple__33;
static PyObject *__pyx_tuple__35;
static PyObject *__pyx_codeobj__26;
static PyObject *__pyx_codeobj__28;
static PyObject *__pyx_codeobj__30;
static PyObject *__pyx_codeobj__32;
static PyObject *__pyx_codeobj__34;
static PyObject *__pyx_codeobj__36;
/* Late includes */

/* "glove_inner.pyx":99
 * 
 * # for when fblas.sdot returns a double
 * cdef REAL_t our_dot_double(const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil:             # <<<<<<<<<<<<<<
 *     return <REAL_t>dsdot(N, X, incX, Y, incY)
 * 
 */

static __pyx_t_11glove_inner_REAL_t __pyx_f_11glove_inner_our_dot_double(int const *__pyx_v_N, float const *__pyx_v_X, int const *__pyx_v_incX, float const *__pyx_v_Y, int const *__pyx_v_incY) {
  __pyx_t_11glove_inner_REAL_t __pyx_r;

  /* "glove_inner.pyx":100
 * # for when fblas.sdot returns a double
 * cdef REAL_t our_dot_double(const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil:
 *     return <REAL_t>dsdot(N, X, incX, Y, incY)             # <<<<<<<<<<<<<<
 * 
 * # for when fblas.sdot returns a float
 */
  __pyx_r = ((__pyx_t_11glove_inner_REAL_t)__pyx_v_11glove_inner_dsdot(__pyx_v_N, __pyx_v_X, __pyx_v_incX, __pyx_v_Y, __pyx_v_incY));
  goto __pyx_L0;

  /* "glove_inner.pyx":99
 * 
 * # for when fblas.sdot returns a double
 * cdef REAL_t our_dot_double(const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil:             # <<<<<<<<<<<<<<
 *     return <REAL_t>dsdot(N, X, incX, Y, incY)
 * 
 */

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

/* "glove_inner.pyx":103
 * 
 * # for when fblas.sdot returns a float
 * cdef REAL_t our_dot_float(const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil:             # <<<<<<<<<<<<<<
 *     return <REAL_t>sdot(N, X, incX, Y, incY)
 * 
 */

static __pyx_t_11glove_inner_REAL_t __pyx_f_11glove_inner_our_dot_float(int const *__pyx_v_N, float const *__pyx_v_X, int const *__pyx_v_incX, float const *__pyx_v_Y, int const *__pyx_v_incY) {
  __pyx_t_11glove_inner_REAL_t __pyx_r;

  /* "glove_inner.pyx":104
 * # for when fblas.sdot returns a float
 * cdef REAL_t our_dot_float(const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil:
 *     return <REAL_t>sdot(N, X, incX, Y, incY)             # <<<<<<<<<<<<<<
 * 
 * # for when no blas available
 */
  __pyx_r = ((__pyx_t_11glove_inner_REAL_t)__pyx_v_11glove_inner_sdot(__pyx_v_N, __pyx_v_X, __pyx_v_incX, __pyx_v_Y, __pyx_v_incY));
  goto __pyx_L0;

  /* "glove_inner.pyx":103
 * 
 * # for when fblas.sdot returns a float
 * cdef REAL_t our_dot_float(const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil:             # <<<<<<<<<<<<<<
 *     return <REAL_t>sdot(N, X, incX, Y, incY)
 * 
 */

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

/* "glove_inner.pyx":107
 * 
 * # for when no blas available
 * cdef REAL_t our_dot_noblas(const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil:             # <<<<<<<<<<<<<<
 *     # not a true full dot()-implementation: just enough for our cases
 *     cdef int i
 */

static __pyx_t_11glove_inner_REAL_t __pyx_f_11glove_inner_our_dot_noblas(int const *__pyx_v_N, float const *__pyx_v_X, CYTHON_UNUSED int const *__pyx_v_incX, float const *__pyx_v_Y, CYTHON_UNUSED int const *__pyx_v_incY) {
  int __pyx_v_i;
  __pyx_t_11glove_inner_REAL_t __pyx_v_a;
  __pyx_t_11glove_inner_REAL_t __pyx_r;
  int __pyx_t_1;

  /* "glove_inner.pyx":111
 *     cdef int i
 *     cdef REAL_t a
 *     a = <REAL_t>0.0             # <<<<<<<<<<<<<<
 *     for i from 0 <= i < N[0] by 1:
 *         a += X[i] * Y[i]
 */
  __pyx_v_a = ((__pyx_t_11glove_inner_REAL_t)0.0);

  /* "glove_inner.pyx":112
 *     cdef REAL_t a
 *     a = <REAL_t>0.0
 *     for i from 0 <= i < N[0] by 1:             # <<<<<<<<<<<<<<
 *         a += X[i] * Y[i]
 *     return a
 */
  __pyx_t_1 = (__pyx_v_N[0]);
  for (__pyx_v_i = 0; __pyx_v_i < __pyx_t_1; __pyx_v_i+=1) {

    /* "glove_inner.pyx":113
 *     a = <REAL_t>0.0
 *     for i from 0 <= i < N[0] by 1:
 *         a += X[i] * Y[i]             # <<<<<<<<<<<<<<
 *     return a
 * 
 */
    __pyx_v_a = (__pyx_v_a + ((__pyx_v_X[__pyx_v_i]) * (__pyx_v_Y[__pyx_v_i])));
  }

  /* "glove_inner.pyx":114
 *     for i from 0 <= i < N[0] by 1:
 *         a += X[i] * Y[i]
 *     return a             # <<<<<<<<<<<<<<
 * 
 * # for when no blas available
 */
  __pyx_r = __pyx_v_a;
  goto __pyx_L0;

  /* "glove_inner.pyx":107
 * 
 * # for when no blas available
 * cdef REAL_t our_dot_noblas(const int *N, const float *X, const int *incX, const float *Y, const int *incY) nogil:             # <<<<<<<<<<<<<<
 *     # not a true full dot()-implementation: just enough for our cases
 *     cdef int i
 */

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

/* "glove_inner.pyx":117
 * 
 * # for when no blas available
 * cdef void our_saxpy_noblas(const int *N, const float *alpha, const float *X, const int *incX, float *Y, const int *incY) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i
 *     for i from 0 <= i < N[0] by 1:
 */

static void __pyx_f_11glove_inner_our_saxpy_noblas(int const *__pyx_v_N, float const *__pyx_v_alpha, float const *__pyx_v_X, int const *__pyx_v_incX, float *__pyx_v_Y, int const *__pyx_v_incY) {
  int __pyx_v_i;
  int __pyx_t_1;

  /* "glove_inner.pyx":119
 * cdef void our_saxpy_noblas(const int *N, const float *alpha, const float *X, const int *incX, float *Y, const int *incY) nogil:
 *     cdef int i
 *     for i from 0 <= i < N[0] by 1:             # <<<<<<<<<<<<<<
 *         Y[i * (incY[0])] = (alpha[0]) * X[i * (incX[0])] + Y[i * (incY[0])]
 * 
 */
  __pyx_t_1 = (__pyx_v_N[0]);
  for (__pyx_v_i = 0; __pyx_v_i < __pyx_t_1; __pyx_v_i+=1) {

    /* "glove_inner.pyx":120
 *     cdef int i
 *     for i from 0 <= i < N[0] by 1:
 *         Y[i * (incY[0])] = (alpha[0]) * X[i * (incX[0])] + Y[i * (incY[0])]             # <<<<<<<<<<<<<<
 * 
 * # Mitigate potential numerical errors
 */
    (__pyx_v_Y[(__pyx_v_i * (__pyx_v_incY[0]))]) = (((__pyx_v_alpha[0]) * (__pyx_v_X[(__pyx_v_i * (__pyx_v_incX[0]))])) + (__pyx_v_Y[(__pyx_v_i * (__pyx_v_incY[0]))]));
  }

  /* "glove_inner.pyx":117
 * 
 * # for when no blas available
 * cdef void our_saxpy_noblas(const int *N, const float *alpha, const float *X, const int *incX, float *Y, const int *incY) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i
 *     for i from 0 <= i < N[0] by 1:
 */

  /* function exit code */
}

/* "glove_inner.pyx":123
 * 
 * # Mitigate potential numerical errors
 * cdef void clamp(float *v, int size, float _min, float _max) nogil:             # <<<<<<<<<<<<<<
 *     for i in range(size):
 *         v[i] = max(_min, min(v[i], _max))
 */

static void __pyx_f_11glove_inner_clamp(float *__pyx_v_v, int __pyx_v_size, float __pyx_v__min, float __pyx_v__max) {
  int __pyx_v_i;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  float __pyx_t_4;
  float __pyx_t_5;
  float __pyx_t_6;

  /* "glove_inner.pyx":124
 * # Mitigate potential numerical errors
 * cdef void clamp(float *v, int size, float _min, float _max) nogil:
 *     for i in range(size):             # <<<<<<<<<<<<<<
 *         v[i] = max(_min, min(v[i], _max))
 * 
 */
  __pyx_t_1 = __pyx_v_size;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "glove_inner.pyx":125
 * cdef void clamp(float *v, int size, float _min, float _max) nogil:
 *     for i in range(size):
 *         v[i] = max(_min, min(v[i], _max))             # <<<<<<<<<<<<<<
 * 
 * cdef float clamp_scalar(float v, float _min, float _max) nogil:
 */
    __pyx_t_4 = __pyx_v__max;
    __pyx_t_5 = (__pyx_v_v[__pyx_v_i]);
    if (((__pyx_t_4 < __pyx_t_5) != 0)) {
      __pyx_t_6 = __pyx_t_4;
    } else {
      __pyx_t_6 = __pyx_t_5;
    }
    __pyx_t_4 = __pyx_t_6;
    __pyx_t_6 = __pyx_v__min;
    if (((__pyx_t_4 > __pyx_t_6) != 0)) {
      __pyx_t_5 = __pyx_t_4;
    } else {
      __pyx_t_5 = __pyx_t_6;
    }
    (__pyx_v_v[__pyx_v_i]) = __pyx_t_5;
  }

  /* "glove_inner.pyx":123
 * 
 * # Mitigate potential numerical errors
 * cdef void clamp(float *v, int size, float _min, float _max) nogil:             # <<<<<<<<<<<<<<
 *     for i in range(size):
 *         v[i] = max(_min, min(v[i], _max))
 */

  /* function exit code */
}

/* "glove_inner.pyx":127
 *         v[i] = max(_min, min(v[i], _max))
 * 
 * cdef float clamp_scalar(float v, float _min, float _max) nogil:             # <<<<<<<<<<<<<<
 *     return max(_min, min(v, _max))
 * 
 */

static float __pyx_f_11glove_inner_clamp_scalar(float __pyx_v_v, float __pyx_v__min, float __pyx_v__max) {
  float __pyx_r;
  float __pyx_t_1;
  float __pyx_t_2;
  float __pyx_t_3;

  /* "glove_inner.pyx":128
 * 
 * cdef float clamp_scalar(float v, float _min, float _max) nogil:
 *     return max(_min, min(v, _max))             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_1 = __pyx_v__max;
  __pyx_t_2 = __pyx_v_v;
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_t_1 = __pyx_t_3;
  __pyx_t_3 = __pyx_v__min;
  if (((__pyx_t_1 > __pyx_t_3) != 0)) {
    __pyx_t_2 = __pyx_t_1;
  } else {
    __pyx_t_2 = __pyx_t_3;
  }
  __pyx_r = __pyx_t_2;
  goto __pyx_L0;

  /* "glove_inner.pyx":127
 *         v[i] = max(_min, min(v[i], _max))
 * 
 * cdef float clamp_scalar(float v, float _min, float _max) nogil:             # <<<<<<<<<<<<<<
 *     return max(_min, min(v, _max))
 * 
 */

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

/* "glove_inner.pyx":132
 * 
 * # Mitigate potential numerical errors
 * cdef inline int is_number(const REAL_t x) nogil:             # <<<<<<<<<<<<<<
 *     return 0 if isnan(x) or isinf(x) else 1
 * 
 */

static CYTHON_INLINE int __pyx_f_11glove_inner_is_number(__pyx_t_11glove_inner_REAL_t const __pyx_v_x) {
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "glove_inner.pyx":133
 * # Mitigate potential numerical errors
 * cdef inline int is_number(const REAL_t x) nogil:
 *     return 0 if isnan(x) or isinf(x) else 1             # <<<<<<<<<<<<<<
 * 
 * cdef float our_tanh(const float x) nogil:
 */
  __pyx_t_3 = (isnan(__pyx_v_x) != 0);
  if (!__pyx_t_3) {
  } else {
    __pyx_t_2 = __pyx_t_3;
    goto __pyx_L3_bool_binop_done;
  }
  __pyx_t_3 = (isinf(__pyx_v_x) != 0);
  __pyx_t_2 = __pyx_t_3;
  __pyx_L3_bool_binop_done:;
  if (__pyx_t_2) {
    __pyx_t_1 = 0;
  } else {
    __pyx_t_1 = 1;
  }
  __pyx_r = __pyx_t_1;
  goto __pyx_L0;

  /* "glove_inner.pyx":132
 * 
 * # Mitigate potential numerical errors
 * cdef inline int is_number(const REAL_t x) nogil:             # <<<<<<<<<<<<<<
 *     return 0 if isnan(x) or isinf(x) else 1
 * 
 */

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

/* "glove_inner.pyx":135
 *     return 0 if isnan(x) or isinf(x) else 1
 * 
 * cdef float our_tanh(const float x) nogil:             # <<<<<<<<<<<<<<
 *     return tanh(min(max(x, -MAX_TANH_ARG), MAX_TANH_ARG))
 * 
 */

static float __pyx_f_11glove_inner_our_tanh(float const __pyx_v_x) {
  float __pyx_r;
  long __pyx_t_1;
  long __pyx_t_2;
  float __pyx_t_3;
  float __pyx_t_4;

  /* "glove_inner.pyx":136
 * 
 * cdef float our_tanh(const float x) nogil:
 *     return tanh(min(max(x, -MAX_TANH_ARG), MAX_TANH_ARG))             # <<<<<<<<<<<<<<
 * 
 * cdef float vec_max(const int size, float *v) nogil:
 */
  __pyx_t_1 = 15;
  __pyx_t_2 = -15L;
  __pyx_t_3 = __pyx_v_x;
  if (((__pyx_t_2 > __pyx_t_3) != 0)) {
    __pyx_t_4 = __pyx_t_2;
  } else {
    __pyx_t_4 = __pyx_t_3;
  }
  __pyx_t_3 = __pyx_t_4;
  if (((__pyx_t_1 < __pyx_t_3) != 0)) {
    __pyx_t_4 = __pyx_t_1;
  } else {
    __pyx_t_4 = __pyx_t_3;
  }
  __pyx_r = tanh(__pyx_t_4);
  goto __pyx_L0;

  /* "glove_inner.pyx":135
 *     return 0 if isnan(x) or isinf(x) else 1
 * 
 * cdef float our_tanh(const float x) nogil:             # <<<<<<<<<<<<<<
 *     return tanh(min(max(x, -MAX_TANH_ARG), MAX_TANH_ARG))
 * 
 */

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

/* "glove_inner.pyx":138
 *     return tanh(min(max(x, -MAX_TANH_ARG), MAX_TANH_ARG))
 * 
 * cdef float vec_max(const int size, float *v) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i
 *     cdef float max = -100000.0
 */

static float __pyx_f_11glove_inner_vec_max(int const __pyx_v_size, float *__pyx_v_v) {
  int __pyx_v_i;
  float __pyx_v_max;
  float __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "glove_inner.pyx":140
 * cdef float vec_max(const int size, float *v) nogil:
 *     cdef int i
 *     cdef float max = -100000.0             # <<<<<<<<<<<<<<
 *     for i in range(size):
 *         if max < v[i]:
 */
  __pyx_v_max = -100000.0;

  /* "glove_inner.pyx":141
 *     cdef int i
 *     cdef float max = -100000.0
 *     for i in range(size):             # <<<<<<<<<<<<<<
 *         if max < v[i]:
 *             max = v[i]
 */
  __pyx_t_1 = __pyx_v_size;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "glove_inner.pyx":142
 *     cdef float max = -100000.0
 *     for i in range(size):
 *         if max < v[i]:             # <<<<<<<<<<<<<<
 *             max = v[i]
 *     return max
 */
    __pyx_t_4 = ((__pyx_v_max < (__pyx_v_v[__pyx_v_i])) != 0);
    if (__pyx_t_4) {

      /* "glove_inner.pyx":143
 *     for i in range(size):
 *         if max < v[i]:
 *             max = v[i]             # <<<<<<<<<<<<<<
 *     return max
 * 
 */
      __pyx_v_max = (__pyx_v_v[__pyx_v_i]);

      /* "glove_inner.pyx":142
 *     cdef float max = -100000.0
 *     for i in range(size):
 *         if max < v[i]:             # <<<<<<<<<<<<<<
 *             max = v[i]
 *     return max
 */
    }
  }

  /* "glove_inner.pyx":144
 *         if max < v[i]:
 *             max = v[i]
 *     return max             # <<<<<<<<<<<<<<
 * 
 * cdef float vec_min(const int size, float *v) nogil:
 */
  __pyx_r = __pyx_v_max;
  goto __pyx_L0;

  /* "glove_inner.pyx":138
 *     return tanh(min(max(x, -MAX_TANH_ARG), MAX_TANH_ARG))
 * 
 * cdef float vec_max(const int size, float *v) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i
 *     cdef float max = -100000.0
 */

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

/* "glove_inner.pyx":146
 *     return max
 * 
 * cdef float vec_min(const int size, float *v) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i
 *     cdef float min = 100000.0
 */

static float __pyx_f_11glove_inner_vec_min(int const __pyx_v_size, float *__pyx_v_v) {
  int __pyx_v_i;
  float __pyx_v_min;
  float __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "glove_inner.pyx":148
 * cdef float vec_min(const int size, float *v) nogil:
 *     cdef int i
 *     cdef float min = 100000.0             # <<<<<<<<<<<<<<
 *     for i in range(size):
 *         if min > v[i]:
 */
  __pyx_v_min = 100000.0;

  /* "glove_inner.pyx":149
 *     cdef int i
 *     cdef float min = 100000.0
 *     for i in range(size):             # <<<<<<<<<<<<<<
 *         if min > v[i]:
 *             min = v[i]
 */
  __pyx_t_1 = __pyx_v_size;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "glove_inner.pyx":150
 *     cdef float min = 100000.0
 *     for i in range(size):
 *         if min > v[i]:             # <<<<<<<<<<<<<<
 *             min = v[i]
 *     return min
 */
    __pyx_t_4 = ((__pyx_v_min > (__pyx_v_v[__pyx_v_i])) != 0);
    if (__pyx_t_4) {

      /* "glove_inner.pyx":151
 *     for i in range(size):
 *         if min > v[i]:
 *             min = v[i]             # <<<<<<<<<<<<<<
 *     return min
 * 
 */
      __pyx_v_min = (__pyx_v_v[__pyx_v_i]);

      /* "glove_inner.pyx":150
 *     cdef float min = 100000.0
 *     for i in range(size):
 *         if min > v[i]:             # <<<<<<<<<<<<<<
 *             min = v[i]
 *     return min
 */
    }
  }

  /* "glove_inner.pyx":152
 *         if min > v[i]:
 *             min = v[i]
 *     return min             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_min;
  goto __pyx_L0;

  /* "glove_inner.pyx":146
 *     return max
 * 
 * cdef float vec_min(const int size, float *v) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i
 *     cdef float min = 100000.0
 */

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

/* "glove_inner.pyx":159
 * # dS_dv         = derivative of the similarity wrt v
 * # dS_dw         = derivative of the similarity wrt w
 * cdef void vanilla_similarity(REAL_t *similarity, REAL_t *dS_dv, REAL_t *dS_dw, REAL_t *v, REAL_t *w,             # <<<<<<<<<<<<<<
 *                              const int size, const DistFuncType dist_func,
 *                              const NNConfig nn, REAL_t *grad_dS_dweights) nogil:
 */

static void __pyx_f_11glove_inner_vanilla_similarity(__pyx_t_11glove_inner_REAL_t *__pyx_v_similarity, __pyx_t_11glove_inner_REAL_t *__pyx_v_dS_dv, __pyx_t_11glove_inner_REAL_t *__pyx_v_dS_dw, __pyx_t_11glove_inner_REAL_t *__pyx_v_v, __pyx_t_11glove_inner_REAL_t *__pyx_v_w, int const __pyx_v_size, enum __pyx_t_11glove_inner_DistFuncType const __pyx_v_dist_func, struct __pyx_t_11glove_inner_NNConfig const __pyx_v_nn, __pyx_t_11glove_inner_REAL_t *__pyx_v_grad_dS_dweights) {
  double __pyx_v_dot_prod;
  __pyx_t_11glove_inner_REAL_t __pyx_v_grad_dnn_dx;
  int __pyx_t_1;

  /* "glove_inner.pyx":166
 *     cdef REAL_t grad_dnn_dx
 * 
 *     if dist_func == DistFuncType.NN:             # <<<<<<<<<<<<<<
 *         # Similarity is -f(v \dot w).
 *         dot_prod = our_dot(&size, v, &ONE, w, &ONE)
 */
  __pyx_t_1 = ((__pyx_v_dist_func == __pyx_e_11glove_inner_NN) != 0);
  if (__pyx_t_1) {

    /* "glove_inner.pyx":168
 *     if dist_func == DistFuncType.NN:
 *         # Similarity is -f(v \dot w).
 *         dot_prod = our_dot(&size, v, &ONE, w, &ONE)             # <<<<<<<<<<<<<<
 *         f_nn(dot_prod, nn, similarity, &grad_dnn_dx, grad_dS_dweights)
 * 
 */
    __pyx_v_dot_prod = __pyx_v_11glove_inner_our_dot((&__pyx_v_size), __pyx_v_v, (&__pyx_v_11glove_inner_ONE), __pyx_v_w, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":169
 *         # Similarity is -f(v \dot w).
 *         dot_prod = our_dot(&size, v, &ONE, w, &ONE)
 *         f_nn(dot_prod, nn, similarity, &grad_dnn_dx, grad_dS_dweights)             # <<<<<<<<<<<<<<
 * 
 *         # Account for the minus in front of the f(v \dot w).
 */
    __pyx_f_11glove_inner_f_nn(__pyx_v_dot_prod, __pyx_v_nn, __pyx_v_similarity, (&__pyx_v_grad_dnn_dx), __pyx_v_grad_dS_dweights);

    /* "glove_inner.pyx":172
 * 
 *         # Account for the minus in front of the f(v \dot w).
 *         similarity[0] = -similarity[0]             # <<<<<<<<<<<<<<
 *         grad_dnn_dx = -grad_dnn_dx
 *         sscal(&size, &MINUS_ONEF, grad_dS_dweights, &ONE)
 */
    (__pyx_v_similarity[0]) = (-(__pyx_v_similarity[0]));

    /* "glove_inner.pyx":173
 *         # Account for the minus in front of the f(v \dot w).
 *         similarity[0] = -similarity[0]
 *         grad_dnn_dx = -grad_dnn_dx             # <<<<<<<<<<<<<<
 *         sscal(&size, &MINUS_ONEF, grad_dS_dweights, &ONE)
 *     else:
 */
    __pyx_v_grad_dnn_dx = (-__pyx_v_grad_dnn_dx);

    /* "glove_inner.pyx":174
 *         similarity[0] = -similarity[0]
 *         grad_dnn_dx = -grad_dnn_dx
 *         sscal(&size, &MINUS_ONEF, grad_dS_dweights, &ONE)             # <<<<<<<<<<<<<<
 *     else:
 *         similarity[0] = our_dot(&size, v, &ONE, w, &ONE)
 */
    __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_11glove_inner_MINUS_ONEF), __pyx_v_grad_dS_dweights, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":166
 *     cdef REAL_t grad_dnn_dx
 * 
 *     if dist_func == DistFuncType.NN:             # <<<<<<<<<<<<<<
 *         # Similarity is -f(v \dot w).
 *         dot_prod = our_dot(&size, v, &ONE, w, &ONE)
 */
    goto __pyx_L3;
  }

  /* "glove_inner.pyx":176
 *         sscal(&size, &MINUS_ONEF, grad_dS_dweights, &ONE)
 *     else:
 *         similarity[0] = our_dot(&size, v, &ONE, w, &ONE)             # <<<<<<<<<<<<<<
 * 
 *     scopy(&size, w, &ONE, dS_dv, &ONE)
 */
  /*else*/ {
    (__pyx_v_similarity[0]) = __pyx_v_11glove_inner_our_dot((&__pyx_v_size), __pyx_v_v, (&__pyx_v_11glove_inner_ONE), __pyx_v_w, (&__pyx_v_11glove_inner_ONE));
  }
  __pyx_L3:;

  /* "glove_inner.pyx":178
 *         similarity[0] = our_dot(&size, v, &ONE, w, &ONE)
 * 
 *     scopy(&size, w, &ONE, dS_dv, &ONE)             # <<<<<<<<<<<<<<
 *     scopy(&size, v, &ONE, dS_dw, &ONE)
 *     if dist_func == DistFuncType.NN:
 */
  __pyx_v_11glove_inner_scopy((&__pyx_v_size), __pyx_v_w, (&__pyx_v_11glove_inner_ONE), __pyx_v_dS_dv, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":179
 * 
 *     scopy(&size, w, &ONE, dS_dv, &ONE)
 *     scopy(&size, v, &ONE, dS_dw, &ONE)             # <<<<<<<<<<<<<<
 *     if dist_func == DistFuncType.NN:
 *         # Multiply by the gradient of the neural net wrt its input
 */
  __pyx_v_11glove_inner_scopy((&__pyx_v_size), __pyx_v_v, (&__pyx_v_11glove_inner_ONE), __pyx_v_dS_dw, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":180
 *     scopy(&size, w, &ONE, dS_dv, &ONE)
 *     scopy(&size, v, &ONE, dS_dw, &ONE)
 *     if dist_func == DistFuncType.NN:             # <<<<<<<<<<<<<<
 *         # Multiply by the gradient of the neural net wrt its input
 *         sscal(&size, &grad_dnn_dx, dS_dv, &ONE)
 */
  __pyx_t_1 = ((__pyx_v_dist_func == __pyx_e_11glove_inner_NN) != 0);
  if (__pyx_t_1) {

    /* "glove_inner.pyx":182
 *     if dist_func == DistFuncType.NN:
 *         # Multiply by the gradient of the neural net wrt its input
 *         sscal(&size, &grad_dnn_dx, dS_dv, &ONE)             # <<<<<<<<<<<<<<
 *         sscal(&size, &grad_dnn_dx, dS_dw, &ONE)
 * 
 */
    __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_grad_dnn_dx), __pyx_v_dS_dv, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":183
 *         # Multiply by the gradient of the neural net wrt its input
 *         sscal(&size, &grad_dnn_dx, dS_dv, &ONE)
 *         sscal(&size, &grad_dnn_dx, dS_dw, &ONE)             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_grad_dnn_dx), __pyx_v_dS_dw, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":180
 *     scopy(&size, w, &ONE, dS_dv, &ONE)
 *     scopy(&size, v, &ONE, dS_dw, &ONE)
 *     if dist_func == DistFuncType.NN:             # <<<<<<<<<<<<<<
 *         # Multiply by the gradient of the neural net wrt its input
 *         sscal(&size, &grad_dnn_dx, dS_dv, &ONE)
 */
  }

  /* "glove_inner.pyx":159
 * # dS_dv         = derivative of the similarity wrt v
 * # dS_dw         = derivative of the similarity wrt w
 * cdef void vanilla_similarity(REAL_t *similarity, REAL_t *dS_dv, REAL_t *dS_dw, REAL_t *v, REAL_t *w,             # <<<<<<<<<<<<<<
 *                              const int size, const DistFuncType dist_func,
 *                              const NNConfig nn, REAL_t *grad_dS_dweights) nogil:
 */

  /* function exit code */
}

/* "glove_inner.pyx":190
 * # dS_dv         = derivative of the similarity wrt v
 * # dS_dw         = derivative of the similarity wrt w
 * cdef void euclidean_similarity(REAL_t *similarity, REAL_t *dS_dv, REAL_t *dS_dw, REAL_t *v, REAL_t *w,             # <<<<<<<<<<<<<<
 *                               const int size, const DistFuncType dist_func) nogil:
 * 
 */

static void __pyx_f_11glove_inner_euclidean_similarity(__pyx_t_11glove_inner_REAL_t *__pyx_v_similarity, __pyx_t_11glove_inner_REAL_t *__pyx_v_dS_dv, __pyx_t_11glove_inner_REAL_t *__pyx_v_dS_dw, __pyx_t_11glove_inner_REAL_t *__pyx_v_v, __pyx_t_11glove_inner_REAL_t *__pyx_v_w, int const __pyx_v_size, enum __pyx_t_11glove_inner_DistFuncType const __pyx_v_dist_func) {
  __pyx_t_11glove_inner_REAL_t __pyx_v_diff[__pyx_v_size];
  int __pyx_t_1;

  /* "glove_inner.pyx":197
 *     # Compute Euclidean distance between vectors.
 *     # diff = v - w
 *     scopy(&size, v, &ONE, diff, &ONE)             # <<<<<<<<<<<<<<
 *     our_saxpy(&size, &MINUS_ONEF, w, &ONE, diff, &ONE)
 * 
 */
  __pyx_v_11glove_inner_scopy((&__pyx_v_size), __pyx_v_v, (&__pyx_v_11glove_inner_ONE), __pyx_v_diff, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":198
 *     # diff = v - w
 *     scopy(&size, v, &ONE, diff, &ONE)
 *     our_saxpy(&size, &MINUS_ONEF, w, &ONE, diff, &ONE)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_v_11glove_inner_our_saxpy((&__pyx_v_size), (&__pyx_v_11glove_inner_MINUS_ONEF), __pyx_v_w, (&__pyx_v_11glove_inner_ONE), __pyx_v_diff, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":201
 * 
 * 
 *     if dist_func == DistFuncType.DIST_SQ:             # <<<<<<<<<<<<<<
 *         # Similarity is -0.5 * dist(v, w).
 *         similarity[0] = -0.5 * our_dot(&size, diff, &ONE, diff, &ONE)
 */
  __pyx_t_1 = ((__pyx_v_dist_func == __pyx_e_11glove_inner_DIST_SQ) != 0);
  if (__pyx_t_1) {

    /* "glove_inner.pyx":203
 *     if dist_func == DistFuncType.DIST_SQ:
 *         # Similarity is -0.5 * dist(v, w).
 *         similarity[0] = -0.5 * our_dot(&size, diff, &ONE, diff, &ONE)             # <<<<<<<<<<<<<<
 * 
 *     if dist_func == DistFuncType.DIST_SQ:
 */
    (__pyx_v_similarity[0]) = (-0.5 * __pyx_v_11glove_inner_our_dot((&__pyx_v_size), __pyx_v_diff, (&__pyx_v_11glove_inner_ONE), __pyx_v_diff, (&__pyx_v_11glove_inner_ONE)));

    /* "glove_inner.pyx":201
 * 
 * 
 *     if dist_func == DistFuncType.DIST_SQ:             # <<<<<<<<<<<<<<
 *         # Similarity is -0.5 * dist(v, w).
 *         similarity[0] = -0.5 * our_dot(&size, diff, &ONE, diff, &ONE)
 */
  }

  /* "glove_inner.pyx":205
 *         similarity[0] = -0.5 * our_dot(&size, diff, &ONE, diff, &ONE)
 * 
 *     if dist_func == DistFuncType.DIST_SQ:             # <<<<<<<<<<<<<<
 *         # dS_dv = -diff = w - v
 *         scopy(&size, diff, &ONE, dS_dv, &ONE)
 */
  __pyx_t_1 = ((__pyx_v_dist_func == __pyx_e_11glove_inner_DIST_SQ) != 0);
  if (__pyx_t_1) {

    /* "glove_inner.pyx":207
 *     if dist_func == DistFuncType.DIST_SQ:
 *         # dS_dv = -diff = w - v
 *         scopy(&size, diff, &ONE, dS_dv, &ONE)             # <<<<<<<<<<<<<<
 *         sscal(&size, &MINUS_ONEF, dS_dv, &ONE)
 *         # dS_dw = diff = v - w
 */
    __pyx_v_11glove_inner_scopy((&__pyx_v_size), __pyx_v_diff, (&__pyx_v_11glove_inner_ONE), __pyx_v_dS_dv, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":208
 *         # dS_dv = -diff = w - v
 *         scopy(&size, diff, &ONE, dS_dv, &ONE)
 *         sscal(&size, &MINUS_ONEF, dS_dv, &ONE)             # <<<<<<<<<<<<<<
 *         # dS_dw = diff = v - w
 *         scopy(&size, diff, &ONE, dS_dw, &ONE)
 */
    __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_11glove_inner_MINUS_ONEF), __pyx_v_dS_dv, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":210
 *         sscal(&size, &MINUS_ONEF, dS_dv, &ONE)
 *         # dS_dw = diff = v - w
 *         scopy(&size, diff, &ONE, dS_dw, &ONE)             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_11glove_inner_scopy((&__pyx_v_size), __pyx_v_diff, (&__pyx_v_11glove_inner_ONE), __pyx_v_dS_dw, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":205
 *         similarity[0] = -0.5 * our_dot(&size, diff, &ONE, diff, &ONE)
 * 
 *     if dist_func == DistFuncType.DIST_SQ:             # <<<<<<<<<<<<<<
 *         # dS_dv = -diff = w - v
 *         scopy(&size, diff, &ONE, dS_dv, &ONE)
 */
  }

  /* "glove_inner.pyx":190
 * # dS_dv         = derivative of the similarity wrt v
 * # dS_dw         = derivative of the similarity wrt w
 * cdef void euclidean_similarity(REAL_t *similarity, REAL_t *dS_dv, REAL_t *dS_dw, REAL_t *v, REAL_t *w,             # <<<<<<<<<<<<<<
 *                               const int size, const DistFuncType dist_func) nogil:
 * 
 */

  /* function exit code */
}

/* "glove_inner.pyx":213
 * 
 * 
 * cdef inline double relu(double x, REAL_t *grad) nogil:             # <<<<<<<<<<<<<<
 *     if x > 0.0:
 *         grad[0] = 1.0
 */

static CYTHON_INLINE double __pyx_f_11glove_inner_relu(double __pyx_v_x, __pyx_t_11glove_inner_REAL_t *__pyx_v_grad) {
  double __pyx_r;
  int __pyx_t_1;

  /* "glove_inner.pyx":214
 * 
 * cdef inline double relu(double x, REAL_t *grad) nogil:
 *     if x > 0.0:             # <<<<<<<<<<<<<<
 *         grad[0] = 1.0
 *         return x
 */
  __pyx_t_1 = ((__pyx_v_x > 0.0) != 0);
  if (__pyx_t_1) {

    /* "glove_inner.pyx":215
 * cdef inline double relu(double x, REAL_t *grad) nogil:
 *     if x > 0.0:
 *         grad[0] = 1.0             # <<<<<<<<<<<<<<
 *         return x
 *     grad[0] = 0.0
 */
    (__pyx_v_grad[0]) = 1.0;

    /* "glove_inner.pyx":216
 *     if x > 0.0:
 *         grad[0] = 1.0
 *         return x             # <<<<<<<<<<<<<<
 *     grad[0] = 0.0
 *     return 0.0
 */
    __pyx_r = __pyx_v_x;
    goto __pyx_L0;

    /* "glove_inner.pyx":214
 * 
 * cdef inline double relu(double x, REAL_t *grad) nogil:
 *     if x > 0.0:             # <<<<<<<<<<<<<<
 *         grad[0] = 1.0
 *         return x
 */
  }

  /* "glove_inner.pyx":217
 *         grad[0] = 1.0
 *         return x
 *     grad[0] = 0.0             # <<<<<<<<<<<<<<
 *     return 0.0
 * 
 */
  (__pyx_v_grad[0]) = 0.0;

  /* "glove_inner.pyx":218
 *         return x
 *     grad[0] = 0.0
 *     return 0.0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 0.0;
  goto __pyx_L0;

  /* "glove_inner.pyx":213
 * 
 * 
 * cdef inline double relu(double x, REAL_t *grad) nogil:             # <<<<<<<<<<<<<<
 *     if x > 0.0:
 *         grad[0] = 1.0
 */

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

/* "glove_inner.pyx":221
 * 
 * 
 * cdef inline double sigmoid(double x, REAL_t *grad) nogil:             # <<<<<<<<<<<<<<
 *     cdef double result
 * 
 */

static CYTHON_INLINE double __pyx_f_11glove_inner_sigmoid(double __pyx_v_x, __pyx_t_11glove_inner_REAL_t *__pyx_v_grad) {
  double __pyx_v_result;
  double __pyx_r;
  int __pyx_t_1;

  /* "glove_inner.pyx":224
 *     cdef double result
 * 
 *     if x >= MAX_EXP:             # <<<<<<<<<<<<<<
 *         if grad != NULL:
 *             grad[0] = 0.0
 */
  __pyx_t_1 = ((__pyx_v_x >= 6.0) != 0);
  if (__pyx_t_1) {

    /* "glove_inner.pyx":225
 * 
 *     if x >= MAX_EXP:
 *         if grad != NULL:             # <<<<<<<<<<<<<<
 *             grad[0] = 0.0
 *         return 1.0
 */
    __pyx_t_1 = ((__pyx_v_grad != NULL) != 0);
    if (__pyx_t_1) {

      /* "glove_inner.pyx":226
 *     if x >= MAX_EXP:
 *         if grad != NULL:
 *             grad[0] = 0.0             # <<<<<<<<<<<<<<
 *         return 1.0
 *     elif x <= -MAX_EXP:
 */
      (__pyx_v_grad[0]) = 0.0;

      /* "glove_inner.pyx":225
 * 
 *     if x >= MAX_EXP:
 *         if grad != NULL:             # <<<<<<<<<<<<<<
 *             grad[0] = 0.0
 *         return 1.0
 */
    }

    /* "glove_inner.pyx":227
 *         if grad != NULL:
 *             grad[0] = 0.0
 *         return 1.0             # <<<<<<<<<<<<<<
 *     elif x <= -MAX_EXP:
 *         if grad != NULL:
 */
    __pyx_r = 1.0;
    goto __pyx_L0;

    /* "glove_inner.pyx":224
 *     cdef double result
 * 
 *     if x >= MAX_EXP:             # <<<<<<<<<<<<<<
 *         if grad != NULL:
 *             grad[0] = 0.0
 */
  }

  /* "glove_inner.pyx":228
 *             grad[0] = 0.0
 *         return 1.0
 *     elif x <= -MAX_EXP:             # <<<<<<<<<<<<<<
 *         if grad != NULL:
 *             grad[0] = 0.0
 */
  __pyx_t_1 = ((__pyx_v_x <= -6.0) != 0);
  if (__pyx_t_1) {

    /* "glove_inner.pyx":229
 *         return 1.0
 *     elif x <= -MAX_EXP:
 *         if grad != NULL:             # <<<<<<<<<<<<<<
 *             grad[0] = 0.0
 *         return 0.0
 */
    __pyx_t_1 = ((__pyx_v_grad != NULL) != 0);
    if (__pyx_t_1) {

      /* "glove_inner.pyx":230
 *     elif x <= -MAX_EXP:
 *         if grad != NULL:
 *             grad[0] = 0.0             # <<<<<<<<<<<<<<
 *         return 0.0
 *     result = EXP_TABLE[<int> x]
 */
      (__pyx_v_grad[0]) = 0.0;

      /* "glove_inner.pyx":229
 *         return 1.0
 *     elif x <= -MAX_EXP:
 *         if grad != NULL:             # <<<<<<<<<<<<<<
 *             grad[0] = 0.0
 *         return 0.0
 */
    }

    /* "glove_inner.pyx":231
 *         if grad != NULL:
 *             grad[0] = 0.0
 *         return 0.0             # <<<<<<<<<<<<<<
 *     result = EXP_TABLE[<int> x]
 *     if grad != NULL:
 */
    __pyx_r = 0.0;
    goto __pyx_L0;

    /* "glove_inner.pyx":228
 *             grad[0] = 0.0
 *         return 1.0
 *     elif x <= -MAX_EXP:             # <<<<<<<<<<<<<<
 *         if grad != NULL:
 *             grad[0] = 0.0
 */
  }

  /* "glove_inner.pyx":232
 *             grad[0] = 0.0
 *         return 0.0
 *     result = EXP_TABLE[<int> x]             # <<<<<<<<<<<<<<
 *     if grad != NULL:
 *         grad[0] = result * (1 - result)
 */
  __pyx_v_result = (__pyx_v_11glove_inner_EXP_TABLE[((int)__pyx_v_x)]);

  /* "glove_inner.pyx":233
 *         return 0.0
 *     result = EXP_TABLE[<int> x]
 *     if grad != NULL:             # <<<<<<<<<<<<<<
 *         grad[0] = result * (1 - result)
 * 
 */
  __pyx_t_1 = ((__pyx_v_grad != NULL) != 0);
  if (__pyx_t_1) {

    /* "glove_inner.pyx":234
 *     result = EXP_TABLE[<int> x]
 *     if grad != NULL:
 *         grad[0] = result * (1 - result)             # <<<<<<<<<<<<<<
 * 
 *     return result
 */
    (__pyx_v_grad[0]) = (__pyx_v_result * (1.0 - __pyx_v_result));

    /* "glove_inner.pyx":233
 *         return 0.0
 *     result = EXP_TABLE[<int> x]
 *     if grad != NULL:             # <<<<<<<<<<<<<<
 *         grad[0] = result * (1 - result)
 * 
 */
  }

  /* "glove_inner.pyx":236
 *         grad[0] = result * (1 - result)
 * 
 *     return result             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_result;
  goto __pyx_L0;

  /* "glove_inner.pyx":221
 * 
 * 
 * cdef inline double sigmoid(double x, REAL_t *grad) nogil:             # <<<<<<<<<<<<<<
 *     cdef double result
 * 
 */

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

/* "glove_inner.pyx":240
 * 
 * # Neural network used to learn the function through which we pass the distance to match it with the log-co-occ. counts.
 * cdef void f_nn(const double x, const NNConfig nn, REAL_t *result,             # <<<<<<<<<<<<<<
 *                REAL_t *grad_do_dx, REAL_t *grad_do_dweights) nogil:
 *     cdef int i
 */

static void __pyx_f_11glove_inner_f_nn(double const __pyx_v_x, struct __pyx_t_11glove_inner_NNConfig const __pyx_v_nn, __pyx_t_11glove_inner_REAL_t *__pyx_v_result, __pyx_t_11glove_inner_REAL_t *__pyx_v_grad_do_dx, __pyx_t_11glove_inner_REAL_t *__pyx_v_grad_do_dweights) {
  int __pyx_v_i;
  __pyx_t_11glove_inner_REAL_t __pyx_v_a;
  __pyx_t_11glove_inner_REAL_t __pyx_v_alpha;
  __pyx_t_11glove_inner_REAL_t __pyx_v_grad_relu_dw1;
  __pyx_t_11glove_inner_REAL_t __pyx_v_grad_relu_dw2;
  __pyx_t_11glove_inner_REAL_t __pyx_v_pos_w1;
  __pyx_t_11glove_inner_REAL_t __pyx_v_pos_w2;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "glove_inner.pyx":245
 *     cdef REAL_t a, alpha, grad_relu_dw1, grad_relu_dw2, pos_w1, pos_w2
 * 
 *     grad_do_dx[0] = 0.0             # <<<<<<<<<<<<<<
 *     result[0] = 0.0
 *     for i in range(nn.num_nodes):
 */
  (__pyx_v_grad_do_dx[0]) = 0.0;

  /* "glove_inner.pyx":246
 * 
 *     grad_do_dx[0] = 0.0
 *     result[0] = 0.0             # <<<<<<<<<<<<<<
 *     for i in range(nn.num_nodes):
 *         if nn.nonlinearity == PositiveNonlinearity.RELU:
 */
  (__pyx_v_result[0]) = 0.0;

  /* "glove_inner.pyx":247
 *     grad_do_dx[0] = 0.0
 *     result[0] = 0.0
 *     for i in range(nn.num_nodes):             # <<<<<<<<<<<<<<
 *         if nn.nonlinearity == PositiveNonlinearity.RELU:
 *             pos_w1 = relu(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)
 */
  __pyx_t_1 = __pyx_v_nn.num_nodes;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "glove_inner.pyx":248
 *     result[0] = 0.0
 *     for i in range(nn.num_nodes):
 *         if nn.nonlinearity == PositiveNonlinearity.RELU:             # <<<<<<<<<<<<<<
 *             pos_w1 = relu(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)
 *             pos_w2 = relu(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)
 */
    switch (__pyx_v_nn.nonlinearity) {
      case __pyx_e_11glove_inner_RELU:

      /* "glove_inner.pyx":249
 *     for i in range(nn.num_nodes):
 *         if nn.nonlinearity == PositiveNonlinearity.RELU:
 *             pos_w1 = relu(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)             # <<<<<<<<<<<<<<
 *             pos_w2 = relu(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)
 *         elif nn.nonlinearity == PositiveNonlinearity.SIGMOID:
 */
      __pyx_v_pos_w1 = __pyx_f_11glove_inner_relu((__pyx_v_nn.weights[((1 * __pyx_v_nn.num_nodes) + __pyx_v_i)]), (&__pyx_v_grad_relu_dw1));

      /* "glove_inner.pyx":250
 *         if nn.nonlinearity == PositiveNonlinearity.RELU:
 *             pos_w1 = relu(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)
 *             pos_w2 = relu(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)             # <<<<<<<<<<<<<<
 *         elif nn.nonlinearity == PositiveNonlinearity.SIGMOID:
 *             pos_w1 = sigmoid(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)
 */
      __pyx_v_pos_w2 = __pyx_f_11glove_inner_relu((__pyx_v_nn.weights[((2 * __pyx_v_nn.num_nodes) + __pyx_v_i)]), (&__pyx_v_grad_relu_dw2));

      /* "glove_inner.pyx":248
 *     result[0] = 0.0
 *     for i in range(nn.num_nodes):
 *         if nn.nonlinearity == PositiveNonlinearity.RELU:             # <<<<<<<<<<<<<<
 *             pos_w1 = relu(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)
 *             pos_w2 = relu(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)
 */
      break;

      /* "glove_inner.pyx":251
 *             pos_w1 = relu(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)
 *             pos_w2 = relu(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)
 *         elif nn.nonlinearity == PositiveNonlinearity.SIGMOID:             # <<<<<<<<<<<<<<
 *             pos_w1 = sigmoid(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)
 *             pos_w2 = sigmoid(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)
 */
      case __pyx_e_11glove_inner_SIGMOID:

      /* "glove_inner.pyx":252
 *             pos_w2 = relu(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)
 *         elif nn.nonlinearity == PositiveNonlinearity.SIGMOID:
 *             pos_w1 = sigmoid(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)             # <<<<<<<<<<<<<<
 *             pos_w2 = sigmoid(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)
 *         elif nn.nonlinearity == PositiveNonlinearity.ID:
 */
      __pyx_v_pos_w1 = __pyx_f_11glove_inner_sigmoid((__pyx_v_nn.weights[((1 * __pyx_v_nn.num_nodes) + __pyx_v_i)]), (&__pyx_v_grad_relu_dw1));

      /* "glove_inner.pyx":253
 *         elif nn.nonlinearity == PositiveNonlinearity.SIGMOID:
 *             pos_w1 = sigmoid(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)
 *             pos_w2 = sigmoid(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)             # <<<<<<<<<<<<<<
 *         elif nn.nonlinearity == PositiveNonlinearity.ID:
 *             pos_w1 = nn.weights[1*nn.num_nodes + i]
 */
      __pyx_v_pos_w2 = __pyx_f_11glove_inner_sigmoid((__pyx_v_nn.weights[((2 * __pyx_v_nn.num_nodes) + __pyx_v_i)]), (&__pyx_v_grad_relu_dw2));

      /* "glove_inner.pyx":251
 *             pos_w1 = relu(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)
 *             pos_w2 = relu(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)
 *         elif nn.nonlinearity == PositiveNonlinearity.SIGMOID:             # <<<<<<<<<<<<<<
 *             pos_w1 = sigmoid(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)
 *             pos_w2 = sigmoid(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)
 */
      break;

      /* "glove_inner.pyx":254
 *             pos_w1 = sigmoid(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)
 *             pos_w2 = sigmoid(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)
 *         elif nn.nonlinearity == PositiveNonlinearity.ID:             # <<<<<<<<<<<<<<
 *             pos_w1 = nn.weights[1*nn.num_nodes + i]
 *             pos_w2 = nn.weights[2*nn.num_nodes + i]
 */
      case __pyx_e_11glove_inner_ID:

      /* "glove_inner.pyx":255
 *             pos_w2 = sigmoid(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)
 *         elif nn.nonlinearity == PositiveNonlinearity.ID:
 *             pos_w1 = nn.weights[1*nn.num_nodes + i]             # <<<<<<<<<<<<<<
 *             pos_w2 = nn.weights[2*nn.num_nodes + i]
 *             grad_relu_dw1 = 1.0
 */
      __pyx_v_pos_w1 = (__pyx_v_nn.weights[((1 * __pyx_v_nn.num_nodes) + __pyx_v_i)]);

      /* "glove_inner.pyx":256
 *         elif nn.nonlinearity == PositiveNonlinearity.ID:
 *             pos_w1 = nn.weights[1*nn.num_nodes + i]
 *             pos_w2 = nn.weights[2*nn.num_nodes + i]             # <<<<<<<<<<<<<<
 *             grad_relu_dw1 = 1.0
 *             grad_relu_dw2 = 1.0
 */
      __pyx_v_pos_w2 = (__pyx_v_nn.weights[((2 * __pyx_v_nn.num_nodes) + __pyx_v_i)]);

      /* "glove_inner.pyx":257
 *             pos_w1 = nn.weights[1*nn.num_nodes + i]
 *             pos_w2 = nn.weights[2*nn.num_nodes + i]
 *             grad_relu_dw1 = 1.0             # <<<<<<<<<<<<<<
 *             grad_relu_dw2 = 1.0
 *         a = sigmoid(pos_w1 * x + nn.weights[0*nn.num_nodes + i], NULL)
 */
      __pyx_v_grad_relu_dw1 = 1.0;

      /* "glove_inner.pyx":258
 *             pos_w2 = nn.weights[2*nn.num_nodes + i]
 *             grad_relu_dw1 = 1.0
 *             grad_relu_dw2 = 1.0             # <<<<<<<<<<<<<<
 *         a = sigmoid(pos_w1 * x + nn.weights[0*nn.num_nodes + i], NULL)
 *         alpha = pos_w2 * a * (1 - a)
 */
      __pyx_v_grad_relu_dw2 = 1.0;

      /* "glove_inner.pyx":254
 *             pos_w1 = sigmoid(nn.weights[1*nn.num_nodes + i], &grad_relu_dw1)
 *             pos_w2 = sigmoid(nn.weights[2*nn.num_nodes + i], &grad_relu_dw2)
 *         elif nn.nonlinearity == PositiveNonlinearity.ID:             # <<<<<<<<<<<<<<
 *             pos_w1 = nn.weights[1*nn.num_nodes + i]
 *             pos_w2 = nn.weights[2*nn.num_nodes + i]
 */
      break;
      default: break;
    }

    /* "glove_inner.pyx":259
 *             grad_relu_dw1 = 1.0
 *             grad_relu_dw2 = 1.0
 *         a = sigmoid(pos_w1 * x + nn.weights[0*nn.num_nodes + i], NULL)             # <<<<<<<<<<<<<<
 *         alpha = pos_w2 * a * (1 - a)
 * 
 */
    __pyx_v_a = __pyx_f_11glove_inner_sigmoid(((__pyx_v_pos_w1 * __pyx_v_x) + (__pyx_v_nn.weights[((0 * __pyx_v_nn.num_nodes) + __pyx_v_i)])), NULL);

    /* "glove_inner.pyx":260
 *             grad_relu_dw2 = 1.0
 *         a = sigmoid(pos_w1 * x + nn.weights[0*nn.num_nodes + i], NULL)
 *         alpha = pos_w2 * a * (1 - a)             # <<<<<<<<<<<<<<
 * 
 *         result[0] = result[0] + pos_w2 * a
 */
    __pyx_v_alpha = ((__pyx_v_pos_w2 * __pyx_v_a) * (1.0 - __pyx_v_a));

    /* "glove_inner.pyx":262
 *         alpha = pos_w2 * a * (1 - a)
 * 
 *         result[0] = result[0] + pos_w2 * a             # <<<<<<<<<<<<<<
 *         grad_do_dx[0] = grad_do_dx[0] + pos_w1 * alpha
 *         grad_do_dweights[2*nn.num_nodes + i] = alpha  # grad wrt to bias1
 */
    (__pyx_v_result[0]) = ((__pyx_v_result[0]) + (__pyx_v_pos_w2 * __pyx_v_a));

    /* "glove_inner.pyx":263
 * 
 *         result[0] = result[0] + pos_w2 * a
 *         grad_do_dx[0] = grad_do_dx[0] + pos_w1 * alpha             # <<<<<<<<<<<<<<
 *         grad_do_dweights[2*nn.num_nodes + i] = alpha  # grad wrt to bias1
 * 
 */
    (__pyx_v_grad_do_dx[0]) = ((__pyx_v_grad_do_dx[0]) + (__pyx_v_pos_w1 * __pyx_v_alpha));

    /* "glove_inner.pyx":264
 *         result[0] = result[0] + pos_w2 * a
 *         grad_do_dx[0] = grad_do_dx[0] + pos_w1 * alpha
 *         grad_do_dweights[2*nn.num_nodes + i] = alpha  # grad wrt to bias1             # <<<<<<<<<<<<<<
 * 
 *         grad_do_dweights[0*nn.num_nodes + i] = alpha * x * grad_relu_dw1  # grad wrt hidden unit weight
 */
    (__pyx_v_grad_do_dweights[((2 * __pyx_v_nn.num_nodes) + __pyx_v_i)]) = __pyx_v_alpha;

    /* "glove_inner.pyx":266
 *         grad_do_dweights[2*nn.num_nodes + i] = alpha  # grad wrt to bias1
 * 
 *         grad_do_dweights[0*nn.num_nodes + i] = alpha * x * grad_relu_dw1  # grad wrt hidden unit weight             # <<<<<<<<<<<<<<
 *         grad_do_dweights[1*nn.num_nodes + i] = a * grad_relu_dw2  # grad wrt output unit weight
 * 
 */
    (__pyx_v_grad_do_dweights[((0 * __pyx_v_nn.num_nodes) + __pyx_v_i)]) = ((__pyx_v_alpha * __pyx_v_x) * __pyx_v_grad_relu_dw1);

    /* "glove_inner.pyx":267
 * 
 *         grad_do_dweights[0*nn.num_nodes + i] = alpha * x * grad_relu_dw1  # grad wrt hidden unit weight
 *         grad_do_dweights[1*nn.num_nodes + i] = a * grad_relu_dw2  # grad wrt output unit weight             # <<<<<<<<<<<<<<
 * 
 *     result[0] = result[0] + nn.output_bias[0]
 */
    (__pyx_v_grad_do_dweights[((1 * __pyx_v_nn.num_nodes) + __pyx_v_i)]) = (__pyx_v_a * __pyx_v_grad_relu_dw2);
  }

  /* "glove_inner.pyx":269
 *         grad_do_dweights[1*nn.num_nodes + i] = a * grad_relu_dw2  # grad wrt output unit weight
 * 
 *     result[0] = result[0] + nn.output_bias[0]             # <<<<<<<<<<<<<<
 * 
 * 
 */
  (__pyx_v_result[0]) = ((__pyx_v_result[0]) + (__pyx_v_nn.output_bias[0]));

  /* "glove_inner.pyx":240
 * 
 * # Neural network used to learn the function through which we pass the distance to match it with the log-co-occ. counts.
 * cdef void f_nn(const double x, const NNConfig nn, REAL_t *result,             # <<<<<<<<<<<<<<
 *                REAL_t *grad_do_dx, REAL_t *grad_do_dweights) nogil:
 *     cdef int i
 */

  /* function exit code */
}

/* "glove_inner.pyx":279
 * # gradR_dS_dw   = Riemannian derivatives of the similarity wrt w (i.e. Euclidean derivative / conformal factor at w),
 * #                 for all the small w
 * cdef void mix_poincare_similarity(REAL_t *similarity, REAL_t *gradR_dS_dv, REAL_t *gradR_dS_dw, REAL_t *v, REAL_t *w,             # <<<<<<<<<<<<<<
 *                               const int size, const int num_embs, const DistFuncType dist_func,
 *                               const REAL_t cosh_dist_pow, int *num_projections) nogil:
 */

static void __pyx_f_11glove_inner_mix_poincare_similarity(__pyx_t_11glove_inner_REAL_t *__pyx_v_similarity, __pyx_t_11glove_inner_REAL_t *__pyx_v_gradR_dS_dv, __pyx_t_11glove_inner_REAL_t *__pyx_v_gradR_dS_dw, __pyx_t_11glove_inner_REAL_t *__pyx_v_v, __pyx_t_11glove_inner_REAL_t *__pyx_v_w, int const __pyx_v_size, int const __pyx_v_num_embs, enum __pyx_t_11glove_inner_DistFuncType const __pyx_v_dist_func, __pyx_t_11glove_inner_REAL_t const __pyx_v_cosh_dist_pow, int *__pyx_v_num_projections) {
  int __pyx_v_i;
  int __pyx_v_index;
  int __pyx_v_small_emb_size;
  __pyx_t_11glove_inner_REAL_t __pyx_v_dist_sum;
  __pyx_t_11glove_inner_REAL_t __pyx_v_curr_dist_sq;
  __pyx_t_11glove_inner_REAL_t __pyx_v_coef;
  enum __pyx_t_11glove_inner_DistFuncType __pyx_v_small_emb_dist_func;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "glove_inner.pyx":283
 *                               const REAL_t cosh_dist_pow, int *num_projections) nogil:
 * 
 *     cdef int i, index, small_emb_size = size / num_embs             # <<<<<<<<<<<<<<
 *     cdef REAL_t dist_sum = 0.0, curr_dist_sq, coef
 *     cdef DistFuncType small_emb_dist_func = DistFuncType.DIST_SQ
 */
  __pyx_v_small_emb_size = (__pyx_v_size / __pyx_v_num_embs);

  /* "glove_inner.pyx":284
 * 
 *     cdef int i, index, small_emb_size = size / num_embs
 *     cdef REAL_t dist_sum = 0.0, curr_dist_sq, coef             # <<<<<<<<<<<<<<
 *     cdef DistFuncType small_emb_dist_func = DistFuncType.DIST_SQ
 * 
 */
  __pyx_v_dist_sum = 0.0;

  /* "glove_inner.pyx":285
 *     cdef int i, index, small_emb_size = size / num_embs
 *     cdef REAL_t dist_sum = 0.0, curr_dist_sq, coef
 *     cdef DistFuncType small_emb_dist_func = DistFuncType.DIST_SQ             # <<<<<<<<<<<<<<
 * 
 *     for i in range(0,num_embs):
 */
  __pyx_v_small_emb_dist_func = __pyx_e_11glove_inner_DIST_SQ;

  /* "glove_inner.pyx":287
 *     cdef DistFuncType small_emb_dist_func = DistFuncType.DIST_SQ
 * 
 *     for i in range(0,num_embs):             # <<<<<<<<<<<<<<
 *         index = small_emb_size * i
 *         poincare_similarity(&curr_dist_sq, &gradR_dS_dv[index], &gradR_dS_dw[index], &v[index], &w[index],
 */
  __pyx_t_1 = __pyx_v_num_embs;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "glove_inner.pyx":288
 * 
 *     for i in range(0,num_embs):
 *         index = small_emb_size * i             # <<<<<<<<<<<<<<
 *         poincare_similarity(&curr_dist_sq, &gradR_dS_dv[index], &gradR_dS_dw[index], &v[index], &w[index],
 *                             small_emb_size, small_emb_dist_func, cosh_dist_pow, num_projections)
 */
    __pyx_v_index = (__pyx_v_small_emb_size * __pyx_v_i);

    /* "glove_inner.pyx":289
 *     for i in range(0,num_embs):
 *         index = small_emb_size * i
 *         poincare_similarity(&curr_dist_sq, &gradR_dS_dv[index], &gradR_dS_dw[index], &v[index], &w[index],             # <<<<<<<<<<<<<<
 *                             small_emb_size, small_emb_dist_func, cosh_dist_pow, num_projections)
 * 
 */
    __pyx_f_11glove_inner_poincare_similarity((&__pyx_v_curr_dist_sq), (&(__pyx_v_gradR_dS_dv[__pyx_v_index])), (&(__pyx_v_gradR_dS_dw[__pyx_v_index])), (&(__pyx_v_v[__pyx_v_index])), (&(__pyx_v_w[__pyx_v_index])), __pyx_v_small_emb_size, __pyx_v_small_emb_dist_func, __pyx_v_cosh_dist_pow, __pyx_v_num_projections);

    /* "glove_inner.pyx":293
 * 
 *         # Accumulate sum of distances squared.
 *         dist_sum = dist_sum + (-curr_dist_sq)             # <<<<<<<<<<<<<<
 * 
 *     if dist_func == DistFuncType.DIST:
 */
    __pyx_v_dist_sum = (__pyx_v_dist_sum + (-__pyx_v_curr_dist_sq));
  }

  /* "glove_inner.pyx":295
 *         dist_sum = dist_sum + (-curr_dist_sq)
 * 
 *     if dist_func == DistFuncType.DIST:             # <<<<<<<<<<<<<<
 *         similarity[0] = -sqrt(dist_sum)
 * 
 */
  switch (__pyx_v_dist_func) {
    case __pyx_e_11glove_inner_DIST:

    /* "glove_inner.pyx":296
 * 
 *     if dist_func == DistFuncType.DIST:
 *         similarity[0] = -sqrt(dist_sum)             # <<<<<<<<<<<<<<
 * 
 *         # Multiply each individual gradient by the contribution of the gradient of sqrt.
 */
    (__pyx_v_similarity[0]) = (-sqrt(__pyx_v_dist_sum));

    /* "glove_inner.pyx":299
 * 
 *         # Multiply each individual gradient by the contribution of the gradient of sqrt.
 *         coef = 1.0 / 2.0 / (-similarity[0])             # <<<<<<<<<<<<<<
 *         sscal(&size, &coef, gradR_dS_dv, &ONE)
 *         sscal(&size, &coef, gradR_dS_dw, &ONE)
 */
    __pyx_v_coef = ((1.0 / 2.0) / (-(__pyx_v_similarity[0])));

    /* "glove_inner.pyx":300
 *         # Multiply each individual gradient by the contribution of the gradient of sqrt.
 *         coef = 1.0 / 2.0 / (-similarity[0])
 *         sscal(&size, &coef, gradR_dS_dv, &ONE)             # <<<<<<<<<<<<<<
 *         sscal(&size, &coef, gradR_dS_dw, &ONE)
 *     elif dist_func == DistFuncType.DIST_SQ:
 */
    __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_gradR_dS_dv, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":301
 *         coef = 1.0 / 2.0 / (-similarity[0])
 *         sscal(&size, &coef, gradR_dS_dv, &ONE)
 *         sscal(&size, &coef, gradR_dS_dw, &ONE)             # <<<<<<<<<<<<<<
 *     elif dist_func == DistFuncType.DIST_SQ:
 *         similarity[0] = -dist_sum
 */
    __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_gradR_dS_dw, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":295
 *         dist_sum = dist_sum + (-curr_dist_sq)
 * 
 *     if dist_func == DistFuncType.DIST:             # <<<<<<<<<<<<<<
 *         similarity[0] = -sqrt(dist_sum)
 * 
 */
    break;

    /* "glove_inner.pyx":302
 *         sscal(&size, &coef, gradR_dS_dv, &ONE)
 *         sscal(&size, &coef, gradR_dS_dw, &ONE)
 *     elif dist_func == DistFuncType.DIST_SQ:             # <<<<<<<<<<<<<<
 *         similarity[0] = -dist_sum
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 */
    case __pyx_e_11glove_inner_DIST_SQ:

    /* "glove_inner.pyx":303
 *         sscal(&size, &coef, gradR_dS_dw, &ONE)
 *     elif dist_func == DistFuncType.DIST_SQ:
 *         similarity[0] = -dist_sum             # <<<<<<<<<<<<<<
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 *         coef = cosh(sqrt(dist_sum))
 */
    (__pyx_v_similarity[0]) = (-__pyx_v_dist_sum);

    /* "glove_inner.pyx":302
 *         sscal(&size, &coef, gradR_dS_dv, &ONE)
 *         sscal(&size, &coef, gradR_dS_dw, &ONE)
 *     elif dist_func == DistFuncType.DIST_SQ:             # <<<<<<<<<<<<<<
 *         similarity[0] = -dist_sum
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 */
    break;

    /* "glove_inner.pyx":304
 *     elif dist_func == DistFuncType.DIST_SQ:
 *         similarity[0] = -dist_sum
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:             # <<<<<<<<<<<<<<
 *         coef = cosh(sqrt(dist_sum))
 *         similarity[0] = -coef * coef
 */
    case __pyx_e_11glove_inner_COSH_DIST_SQ:

    /* "glove_inner.pyx":305
 *         similarity[0] = -dist_sum
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 *         coef = cosh(sqrt(dist_sum))             # <<<<<<<<<<<<<<
 *         similarity[0] = -coef * coef
 * 
 */
    __pyx_v_coef = cosh(sqrt(__pyx_v_dist_sum));

    /* "glove_inner.pyx":306
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 *         coef = cosh(sqrt(dist_sum))
 *         similarity[0] = -coef * coef             # <<<<<<<<<<<<<<
 * 
 *         # Multiply each individual gradient by the contribution of the gradient of cosh(sqrt(dist))^2.
 */
    (__pyx_v_similarity[0]) = ((-__pyx_v_coef) * __pyx_v_coef);

    /* "glove_inner.pyx":309
 * 
 *         # Multiply each individual gradient by the contribution of the gradient of cosh(sqrt(dist))^2.
 *         coef = coef * fast_inv_sqrt(dist_sum / (coef * coef - 1))             # <<<<<<<<<<<<<<
 *         sscal(&size, &coef, gradR_dS_dv, &ONE)
 *         sscal(&size, &coef, gradR_dS_dw, &ONE)
 */
    __pyx_v_coef = (__pyx_v_coef * fast_inv_sqrt((__pyx_v_dist_sum / ((__pyx_v_coef * __pyx_v_coef) - 1.0))));

    /* "glove_inner.pyx":310
 *         # Multiply each individual gradient by the contribution of the gradient of cosh(sqrt(dist))^2.
 *         coef = coef * fast_inv_sqrt(dist_sum / (coef * coef - 1))
 *         sscal(&size, &coef, gradR_dS_dv, &ONE)             # <<<<<<<<<<<<<<
 *         sscal(&size, &coef, gradR_dS_dw, &ONE)
 * 
 */
    __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_gradR_dS_dv, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":311
 *         coef = coef * fast_inv_sqrt(dist_sum / (coef * coef - 1))
 *         sscal(&size, &coef, gradR_dS_dv, &ONE)
 *         sscal(&size, &coef, gradR_dS_dw, &ONE)             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_gradR_dS_dw, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":304
 *     elif dist_func == DistFuncType.DIST_SQ:
 *         similarity[0] = -dist_sum
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:             # <<<<<<<<<<<<<<
 *         coef = cosh(sqrt(dist_sum))
 *         similarity[0] = -coef * coef
 */
    break;
    default: break;
  }

  /* "glove_inner.pyx":279
 * # gradR_dS_dw   = Riemannian derivatives of the similarity wrt w (i.e. Euclidean derivative / conformal factor at w),
 * #                 for all the small w
 * cdef void mix_poincare_similarity(REAL_t *similarity, REAL_t *gradR_dS_dv, REAL_t *gradR_dS_dw, REAL_t *v, REAL_t *w,             # <<<<<<<<<<<<<<
 *                               const int size, const int num_embs, const DistFuncType dist_func,
 *                               const REAL_t cosh_dist_pow, int *num_projections) nogil:
 */

  /* function exit code */
}

/* "glove_inner.pyx":318
 * # gradR_dS_dv   = Riemannian derivative of the similarity wrt v (i.e. Euclidean derivative / conformal factor at v)
 * # gradR_dS_dw   = Riemannian derivative of the similarity wrt w (i.e. Euclidean derivative / conformal factor at w)
 * cdef void poincare_similarity(REAL_t *similarity, REAL_t *gradR_dS_dv, REAL_t *gradR_dS_dw, REAL_t *v, REAL_t *w,             # <<<<<<<<<<<<<<
 *                               const int size, const DistFuncType dist_func,
 *                               const REAL_t cosh_dist_pow, int *num_projections) nogil:
 */

static void __pyx_f_11glove_inner_poincare_similarity(__pyx_t_11glove_inner_REAL_t *__pyx_v_similarity, __pyx_t_11glove_inner_REAL_t *__pyx_v_gradR_dS_dv, __pyx_t_11glove_inner_REAL_t *__pyx_v_gradR_dS_dw, __pyx_t_11glove_inner_REAL_t *__pyx_v_v, __pyx_t_11glove_inner_REAL_t *__pyx_v_w, int const __pyx_v_size, enum __pyx_t_11glove_inner_DistFuncType const __pyx_v_dist_func, __pyx_t_11glove_inner_REAL_t const __pyx_v_cosh_dist_pow, int *__pyx_v_num_projections) {
  CYTHON_UNUSED int __pyx_v_start;
  double __pyx_v_dot_vv;
  double __pyx_v_dot_ww;
  __pyx_t_11glove_inner_REAL_t __pyx_v_g;
  __pyx_t_11glove_inner_REAL_t __pyx_v_alpha_v;
  __pyx_t_11glove_inner_REAL_t __pyx_v_beta_w;
  __pyx_t_11glove_inner_REAL_t __pyx_v_coef;
  __pyx_t_11glove_inner_REAL_t __pyx_v_p_dist;
  __pyx_t_11glove_inner_REAL_t __pyx_v_dS_dg;
  __pyx_t_11glove_inner_REAL_t __pyx_v_factor;
  __pyx_t_11glove_inner_REAL_t __pyx_v_squared_dist;
  __pyx_t_11glove_inner_REAL_t __pyx_v_threshold;
  __pyx_t_11glove_inner_REAL_t __pyx_v_norm_factor;
  __pyx_t_11glove_inner_REAL_t __pyx_v_emb_norm;
  __pyx_t_11glove_inner_REAL_t __pyx_v_diff[__pyx_v_size];
  int __pyx_t_1;
  int __pyx_t_2;

  /* "glove_inner.pyx":324
 *     cdef double dot_vv, dot_ww
 *     cdef REAL_t g, alpha_v, beta_w, coef, p_dist, dS_dg, factor, squared_dist
 *     cdef REAL_t threshold = 1-EPS, norm_factor, emb_norm             # <<<<<<<<<<<<<<
 *     cdef REAL_t diff[size]
 * 
 */
  __pyx_v_threshold = (1.0 - 1e-05);

  /* "glove_inner.pyx":327
 *     cdef REAL_t diff[size]
 * 
 *     emb_norm = snrm2(&size, v, &ONE)             # <<<<<<<<<<<<<<
 *     if emb_norm > threshold:
 *         norm_factor = threshold / emb_norm
 */
  __pyx_v_emb_norm = __pyx_v_11glove_inner_snrm2((&__pyx_v_size), __pyx_v_v, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":328
 * 
 *     emb_norm = snrm2(&size, v, &ONE)
 *     if emb_norm > threshold:             # <<<<<<<<<<<<<<
 *         norm_factor = threshold / emb_norm
 *         sscal(&size, &norm_factor, v, &ONE)
 */
  __pyx_t_1 = ((__pyx_v_emb_norm > __pyx_v_threshold) != 0);
  if (__pyx_t_1) {

    /* "glove_inner.pyx":329
 *     emb_norm = snrm2(&size, v, &ONE)
 *     if emb_norm > threshold:
 *         norm_factor = threshold / emb_norm             # <<<<<<<<<<<<<<
 *         sscal(&size, &norm_factor, v, &ONE)
 *         dot_vv = threshold * threshold
 */
    __pyx_v_norm_factor = (__pyx_v_threshold / __pyx_v_emb_norm);

    /* "glove_inner.pyx":330
 *     if emb_norm > threshold:
 *         norm_factor = threshold / emb_norm
 *         sscal(&size, &norm_factor, v, &ONE)             # <<<<<<<<<<<<<<
 *         dot_vv = threshold * threshold
 *         if num_projections != NULL:
 */
    __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_norm_factor), __pyx_v_v, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":331
 *         norm_factor = threshold / emb_norm
 *         sscal(&size, &norm_factor, v, &ONE)
 *         dot_vv = threshold * threshold             # <<<<<<<<<<<<<<
 *         if num_projections != NULL:
 *             num_projections[0] = num_projections[0] + 1
 */
    __pyx_v_dot_vv = (__pyx_v_threshold * __pyx_v_threshold);

    /* "glove_inner.pyx":332
 *         sscal(&size, &norm_factor, v, &ONE)
 *         dot_vv = threshold * threshold
 *         if num_projections != NULL:             # <<<<<<<<<<<<<<
 *             num_projections[0] = num_projections[0] + 1
 *     else:
 */
    __pyx_t_1 = ((__pyx_v_num_projections != NULL) != 0);
    if (__pyx_t_1) {

      /* "glove_inner.pyx":333
 *         dot_vv = threshold * threshold
 *         if num_projections != NULL:
 *             num_projections[0] = num_projections[0] + 1             # <<<<<<<<<<<<<<
 *     else:
 *         dot_vv = our_dot(&size, v, &ONE, v, &ONE)
 */
      (__pyx_v_num_projections[0]) = ((__pyx_v_num_projections[0]) + 1);

      /* "glove_inner.pyx":332
 *         sscal(&size, &norm_factor, v, &ONE)
 *         dot_vv = threshold * threshold
 *         if num_projections != NULL:             # <<<<<<<<<<<<<<
 *             num_projections[0] = num_projections[0] + 1
 *     else:
 */
    }

    /* "glove_inner.pyx":328
 * 
 *     emb_norm = snrm2(&size, v, &ONE)
 *     if emb_norm > threshold:             # <<<<<<<<<<<<<<
 *         norm_factor = threshold / emb_norm
 *         sscal(&size, &norm_factor, v, &ONE)
 */
    goto __pyx_L3;
  }

  /* "glove_inner.pyx":335
 *             num_projections[0] = num_projections[0] + 1
 *     else:
 *         dot_vv = our_dot(&size, v, &ONE, v, &ONE)             # <<<<<<<<<<<<<<
 * 
 *     emb_norm = snrm2(&size, w, &ONE)
 */
  /*else*/ {
    __pyx_v_dot_vv = __pyx_v_11glove_inner_our_dot((&__pyx_v_size), __pyx_v_v, (&__pyx_v_11glove_inner_ONE), __pyx_v_v, (&__pyx_v_11glove_inner_ONE));
  }
  __pyx_L3:;

  /* "glove_inner.pyx":337
 *         dot_vv = our_dot(&size, v, &ONE, v, &ONE)
 * 
 *     emb_norm = snrm2(&size, w, &ONE)             # <<<<<<<<<<<<<<
 *     if emb_norm > threshold:
 *         norm_factor = threshold / emb_norm
 */
  __pyx_v_emb_norm = __pyx_v_11glove_inner_snrm2((&__pyx_v_size), __pyx_v_w, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":338
 * 
 *     emb_norm = snrm2(&size, w, &ONE)
 *     if emb_norm > threshold:             # <<<<<<<<<<<<<<
 *         norm_factor = threshold / emb_norm
 *         sscal(&size, &norm_factor, w, &ONE)
 */
  __pyx_t_1 = ((__pyx_v_emb_norm > __pyx_v_threshold) != 0);
  if (__pyx_t_1) {

    /* "glove_inner.pyx":339
 *     emb_norm = snrm2(&size, w, &ONE)
 *     if emb_norm > threshold:
 *         norm_factor = threshold / emb_norm             # <<<<<<<<<<<<<<
 *         sscal(&size, &norm_factor, w, &ONE)
 *         dot_ww = threshold * threshold
 */
    __pyx_v_norm_factor = (__pyx_v_threshold / __pyx_v_emb_norm);

    /* "glove_inner.pyx":340
 *     if emb_norm > threshold:
 *         norm_factor = threshold / emb_norm
 *         sscal(&size, &norm_factor, w, &ONE)             # <<<<<<<<<<<<<<
 *         dot_ww = threshold * threshold
 *         if num_projections != NULL:
 */
    __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_norm_factor), __pyx_v_w, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":341
 *         norm_factor = threshold / emb_norm
 *         sscal(&size, &norm_factor, w, &ONE)
 *         dot_ww = threshold * threshold             # <<<<<<<<<<<<<<
 *         if num_projections != NULL:
 *             num_projections[0] = num_projections[0] + 1
 */
    __pyx_v_dot_ww = (__pyx_v_threshold * __pyx_v_threshold);

    /* "glove_inner.pyx":342
 *         sscal(&size, &norm_factor, w, &ONE)
 *         dot_ww = threshold * threshold
 *         if num_projections != NULL:             # <<<<<<<<<<<<<<
 *             num_projections[0] = num_projections[0] + 1
 *     else:
 */
    __pyx_t_1 = ((__pyx_v_num_projections != NULL) != 0);
    if (__pyx_t_1) {

      /* "glove_inner.pyx":343
 *         dot_ww = threshold * threshold
 *         if num_projections != NULL:
 *             num_projections[0] = num_projections[0] + 1             # <<<<<<<<<<<<<<
 *     else:
 *         dot_ww = our_dot(&size, w, &ONE, w, &ONE)
 */
      (__pyx_v_num_projections[0]) = ((__pyx_v_num_projections[0]) + 1);

      /* "glove_inner.pyx":342
 *         sscal(&size, &norm_factor, w, &ONE)
 *         dot_ww = threshold * threshold
 *         if num_projections != NULL:             # <<<<<<<<<<<<<<
 *             num_projections[0] = num_projections[0] + 1
 *     else:
 */
    }

    /* "glove_inner.pyx":338
 * 
 *     emb_norm = snrm2(&size, w, &ONE)
 *     if emb_norm > threshold:             # <<<<<<<<<<<<<<
 *         norm_factor = threshold / emb_norm
 *         sscal(&size, &norm_factor, w, &ONE)
 */
    goto __pyx_L5;
  }

  /* "glove_inner.pyx":345
 *             num_projections[0] = num_projections[0] + 1
 *     else:
 *         dot_ww = our_dot(&size, w, &ONE, w, &ONE)             # <<<<<<<<<<<<<<
 * 
 *     # Sanity check
 */
  /*else*/ {
    __pyx_v_dot_ww = __pyx_v_11glove_inner_our_dot((&__pyx_v_size), __pyx_v_w, (&__pyx_v_11glove_inner_ONE), __pyx_v_w, (&__pyx_v_11glove_inner_ONE));
  }
  __pyx_L5:;

  /* "glove_inner.pyx":348
 * 
 *     # Sanity check
 *     if dot_vv >= 1 or dot_ww >= 1 or isnan(dot_vv) or isnan(dot_ww):             # <<<<<<<<<<<<<<
 *         printf("[%d, %d] Cannot compute Poincare distance between points. Points need to be inside the unit ball, but their squared norm is %f and %f.\n", v, w, dot_vv, dot_ww)
 *         exit(-1)
 */
  __pyx_t_2 = ((__pyx_v_dot_vv >= 1.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_2 = ((__pyx_v_dot_ww >= 1.0) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_2 = (isnan(__pyx_v_dot_vv) != 0);
  if (!__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L8_bool_binop_done;
  }
  __pyx_t_2 = (isnan(__pyx_v_dot_ww) != 0);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L8_bool_binop_done:;
  if (__pyx_t_1) {

    /* "glove_inner.pyx":349
 *     # Sanity check
 *     if dot_vv >= 1 or dot_ww >= 1 or isnan(dot_vv) or isnan(dot_ww):
 *         printf("[%d, %d] Cannot compute Poincare distance between points. Points need to be inside the unit ball, but their squared norm is %f and %f.\n", v, w, dot_vv, dot_ww)             # <<<<<<<<<<<<<<
 *         exit(-1)
 * 
 */
    (void)(printf(((char const *)"[%d, %d] Cannot compute Poincare distance between points. Points need to be inside the unit ball, but their squared norm is %f and %f.\n"), __pyx_v_v, __pyx_v_w, __pyx_v_dot_vv, __pyx_v_dot_ww));

    /* "glove_inner.pyx":350
 *     if dot_vv >= 1 or dot_ww >= 1 or isnan(dot_vv) or isnan(dot_ww):
 *         printf("[%d, %d] Cannot compute Poincare distance between points. Points need to be inside the unit ball, but their squared norm is %f and %f.\n", v, w, dot_vv, dot_ww)
 *         exit(-1)             # <<<<<<<<<<<<<<
 * 
 *     scopy(&size, v, &ONE, diff, &ONE)
 */
    exit(-1);

    /* "glove_inner.pyx":348
 * 
 *     # Sanity check
 *     if dot_vv >= 1 or dot_ww >= 1 or isnan(dot_vv) or isnan(dot_ww):             # <<<<<<<<<<<<<<
 *         printf("[%d, %d] Cannot compute Poincare distance between points. Points need to be inside the unit ball, but their squared norm is %f and %f.\n", v, w, dot_vv, dot_ww)
 *         exit(-1)
 */
  }

  /* "glove_inner.pyx":352
 *         exit(-1)
 * 
 *     scopy(&size, v, &ONE, diff, &ONE)             # <<<<<<<<<<<<<<
 *     our_saxpy(&size, &MINUS_ONEF, w, &ONE, diff, &ONE)
 *     squared_dist = our_dot(&size, diff, &ONE, diff, &ONE)
 */
  __pyx_v_11glove_inner_scopy((&__pyx_v_size), __pyx_v_v, (&__pyx_v_11glove_inner_ONE), __pyx_v_diff, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":353
 * 
 *     scopy(&size, v, &ONE, diff, &ONE)
 *     our_saxpy(&size, &MINUS_ONEF, w, &ONE, diff, &ONE)             # <<<<<<<<<<<<<<
 *     squared_dist = our_dot(&size, diff, &ONE, diff, &ONE)
 * 
 */
  __pyx_v_11glove_inner_our_saxpy((&__pyx_v_size), (&__pyx_v_11glove_inner_MINUS_ONEF), __pyx_v_w, (&__pyx_v_11glove_inner_ONE), __pyx_v_diff, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":354
 *     scopy(&size, v, &ONE, diff, &ONE)
 *     our_saxpy(&size, &MINUS_ONEF, w, &ONE, diff, &ONE)
 *     squared_dist = our_dot(&size, diff, &ONE, diff, &ONE)             # <<<<<<<<<<<<<<
 * 
 *     alpha_v = 1 - dot_vv
 */
  __pyx_v_squared_dist = __pyx_v_11glove_inner_our_dot((&__pyx_v_size), __pyx_v_diff, (&__pyx_v_11glove_inner_ONE), __pyx_v_diff, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":356
 *     squared_dist = our_dot(&size, diff, &ONE, diff, &ONE)
 * 
 *     alpha_v = 1 - dot_vv             # <<<<<<<<<<<<<<
 *     beta_w = 1 - dot_ww
 *     g = 1 + 2 * squared_dist / (alpha_v * beta_w + EPS*EPS)
 */
  __pyx_v_alpha_v = (1.0 - __pyx_v_dot_vv);

  /* "glove_inner.pyx":357
 * 
 *     alpha_v = 1 - dot_vv
 *     beta_w = 1 - dot_ww             # <<<<<<<<<<<<<<
 *     g = 1 + 2 * squared_dist / (alpha_v * beta_w + EPS*EPS)
 * 
 */
  __pyx_v_beta_w = (1.0 - __pyx_v_dot_ww);

  /* "glove_inner.pyx":358
 *     alpha_v = 1 - dot_vv
 *     beta_w = 1 - dot_ww
 *     g = 1 + 2 * squared_dist / (alpha_v * beta_w + EPS*EPS)             # <<<<<<<<<<<<<<
 * 
 *     if dist_func == DistFuncType.DIST_SQ:
 */
  __pyx_v_g = (1.0 + ((2.0 * __pyx_v_squared_dist) / ((__pyx_v_alpha_v * __pyx_v_beta_w) + (1e-05 * 1e-05))));

  /* "glove_inner.pyx":360
 *     g = 1 + 2 * squared_dist / (alpha_v * beta_w + EPS*EPS)
 * 
 *     if dist_func == DistFuncType.DIST_SQ:             # <<<<<<<<<<<<<<
 *         # Similarity is -poincare_dist(v, w)^2.
 *         p_dist = acosh(g)
 */
  switch (__pyx_v_dist_func) {
    case __pyx_e_11glove_inner_DIST_SQ:

    /* "glove_inner.pyx":362
 *     if dist_func == DistFuncType.DIST_SQ:
 *         # Similarity is -poincare_dist(v, w)^2.
 *         p_dist = acosh(g)             # <<<<<<<<<<<<<<
 *         similarity[0] = -p_dist * p_dist
 *     elif dist_func == DistFuncType.DIST:
 */
    __pyx_v_p_dist = acosh(__pyx_v_g);

    /* "glove_inner.pyx":363
 *         # Similarity is -poincare_dist(v, w)^2.
 *         p_dist = acosh(g)
 *         similarity[0] = -p_dist * p_dist             # <<<<<<<<<<<<<<
 *     elif dist_func == DistFuncType.DIST:
 *         # Similarity is -poincare_dist(v, w).
 */
    (__pyx_v_similarity[0]) = ((-__pyx_v_p_dist) * __pyx_v_p_dist);

    /* "glove_inner.pyx":360
 *     g = 1 + 2 * squared_dist / (alpha_v * beta_w + EPS*EPS)
 * 
 *     if dist_func == DistFuncType.DIST_SQ:             # <<<<<<<<<<<<<<
 *         # Similarity is -poincare_dist(v, w)^2.
 *         p_dist = acosh(g)
 */
    break;

    /* "glove_inner.pyx":364
 *         p_dist = acosh(g)
 *         similarity[0] = -p_dist * p_dist
 *     elif dist_func == DistFuncType.DIST:             # <<<<<<<<<<<<<<
 *         # Similarity is -poincare_dist(v, w).
 *         p_dist = acosh(g)
 */
    case __pyx_e_11glove_inner_DIST:

    /* "glove_inner.pyx":366
 *     elif dist_func == DistFuncType.DIST:
 *         # Similarity is -poincare_dist(v, w).
 *         p_dist = acosh(g)             # <<<<<<<<<<<<<<
 *         similarity[0] = -p_dist
 *     elif dist_func == DistFuncType.COSH_DIST:
 */
    __pyx_v_p_dist = acosh(__pyx_v_g);

    /* "glove_inner.pyx":367
 *         # Similarity is -poincare_dist(v, w).
 *         p_dist = acosh(g)
 *         similarity[0] = -p_dist             # <<<<<<<<<<<<<<
 *     elif dist_func == DistFuncType.COSH_DIST:
 *         # Similarity is -cosh(poincare_dist(v, w)).
 */
    (__pyx_v_similarity[0]) = (-__pyx_v_p_dist);

    /* "glove_inner.pyx":364
 *         p_dist = acosh(g)
 *         similarity[0] = -p_dist * p_dist
 *     elif dist_func == DistFuncType.DIST:             # <<<<<<<<<<<<<<
 *         # Similarity is -poincare_dist(v, w).
 *         p_dist = acosh(g)
 */
    break;

    /* "glove_inner.pyx":368
 *         p_dist = acosh(g)
 *         similarity[0] = -p_dist
 *     elif dist_func == DistFuncType.COSH_DIST:             # <<<<<<<<<<<<<<
 *         # Similarity is -cosh(poincare_dist(v, w)).
 *         p_dist = g
 */
    case __pyx_e_11glove_inner_COSH_DIST:

    /* "glove_inner.pyx":370
 *     elif dist_func == DistFuncType.COSH_DIST:
 *         # Similarity is -cosh(poincare_dist(v, w)).
 *         p_dist = g             # <<<<<<<<<<<<<<
 *         similarity[0] = -p_dist
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 */
    __pyx_v_p_dist = __pyx_v_g;

    /* "glove_inner.pyx":371
 *         # Similarity is -cosh(poincare_dist(v, w)).
 *         p_dist = g
 *         similarity[0] = -p_dist             # <<<<<<<<<<<<<<
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 *         # Similarity is -cosh(poincare_dist(v, w))^2.
 */
    (__pyx_v_similarity[0]) = (-__pyx_v_p_dist);

    /* "glove_inner.pyx":368
 *         p_dist = acosh(g)
 *         similarity[0] = -p_dist
 *     elif dist_func == DistFuncType.COSH_DIST:             # <<<<<<<<<<<<<<
 *         # Similarity is -cosh(poincare_dist(v, w)).
 *         p_dist = g
 */
    break;

    /* "glove_inner.pyx":372
 *         p_dist = g
 *         similarity[0] = -p_dist
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:             # <<<<<<<<<<<<<<
 *         # Similarity is -cosh(poincare_dist(v, w))^2.
 *         p_dist = g
 */
    case __pyx_e_11glove_inner_COSH_DIST_SQ:

    /* "glove_inner.pyx":374
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 *         # Similarity is -cosh(poincare_dist(v, w))^2.
 *         p_dist = g             # <<<<<<<<<<<<<<
 *         similarity[0] = -p_dist * p_dist
 *     elif dist_func == DistFuncType.COSH_DIST_POW_K:
 */
    __pyx_v_p_dist = __pyx_v_g;

    /* "glove_inner.pyx":375
 *         # Similarity is -cosh(poincare_dist(v, w))^2.
 *         p_dist = g
 *         similarity[0] = -p_dist * p_dist             # <<<<<<<<<<<<<<
 *     elif dist_func == DistFuncType.COSH_DIST_POW_K:
 *         # Similarity is -cosh(poincare_dist(v, w))^k.
 */
    (__pyx_v_similarity[0]) = ((-__pyx_v_p_dist) * __pyx_v_p_dist);

    /* "glove_inner.pyx":372
 *         p_dist = g
 *         similarity[0] = -p_dist
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:             # <<<<<<<<<<<<<<
 *         # Similarity is -cosh(poincare_dist(v, w))^2.
 *         p_dist = g
 */
    break;

    /* "glove_inner.pyx":376
 *         p_dist = g
 *         similarity[0] = -p_dist * p_dist
 *     elif dist_func == DistFuncType.COSH_DIST_POW_K:             # <<<<<<<<<<<<<<
 *         # Similarity is -cosh(poincare_dist(v, w))^k.
 *         p_dist = pow(g, cosh_dist_pow)
 */
    case __pyx_e_11glove_inner_COSH_DIST_POW_K:

    /* "glove_inner.pyx":378
 *     elif dist_func == DistFuncType.COSH_DIST_POW_K:
 *         # Similarity is -cosh(poincare_dist(v, w))^k.
 *         p_dist = pow(g, cosh_dist_pow)             # <<<<<<<<<<<<<<
 *         similarity[0] = -p_dist
 *     elif dist_func == DistFuncType.LOG_DIST_SQ:
 */
    __pyx_v_p_dist = pow(__pyx_v_g, __pyx_v_cosh_dist_pow);

    /* "glove_inner.pyx":379
 *         # Similarity is -cosh(poincare_dist(v, w))^k.
 *         p_dist = pow(g, cosh_dist_pow)
 *         similarity[0] = -p_dist             # <<<<<<<<<<<<<<
 *     elif dist_func == DistFuncType.LOG_DIST_SQ:
 *         # Similarity is -log(poincare_dist(v, w)^2 + 1).
 */
    (__pyx_v_similarity[0]) = (-__pyx_v_p_dist);

    /* "glove_inner.pyx":376
 *         p_dist = g
 *         similarity[0] = -p_dist * p_dist
 *     elif dist_func == DistFuncType.COSH_DIST_POW_K:             # <<<<<<<<<<<<<<
 *         # Similarity is -cosh(poincare_dist(v, w))^k.
 *         p_dist = pow(g, cosh_dist_pow)
 */
    break;

    /* "glove_inner.pyx":380
 *         p_dist = pow(g, cosh_dist_pow)
 *         similarity[0] = -p_dist
 *     elif dist_func == DistFuncType.LOG_DIST_SQ:             # <<<<<<<<<<<<<<
 *         # Similarity is -log(poincare_dist(v, w)^2 + 1).
 *         p_dist = acosh(g)
 */
    case __pyx_e_11glove_inner_LOG_DIST_SQ:

    /* "glove_inner.pyx":382
 *     elif dist_func == DistFuncType.LOG_DIST_SQ:
 *         # Similarity is -log(poincare_dist(v, w)^2 + 1).
 *         p_dist = acosh(g)             # <<<<<<<<<<<<<<
 *         similarity[0] = -log(p_dist * p_dist + 1)
 * 
 */
    __pyx_v_p_dist = acosh(__pyx_v_g);

    /* "glove_inner.pyx":383
 *         # Similarity is -log(poincare_dist(v, w)^2 + 1).
 *         p_dist = acosh(g)
 *         similarity[0] = -log(p_dist * p_dist + 1)             # <<<<<<<<<<<<<<
 * 
 *     if isnan(similarity[0]):
 */
    (__pyx_v_similarity[0]) = (-log(((__pyx_v_p_dist * __pyx_v_p_dist) + 1.0)));

    /* "glove_inner.pyx":380
 *         p_dist = pow(g, cosh_dist_pow)
 *         similarity[0] = -p_dist
 *     elif dist_func == DistFuncType.LOG_DIST_SQ:             # <<<<<<<<<<<<<<
 *         # Similarity is -log(poincare_dist(v, w)^2 + 1).
 *         p_dist = acosh(g)
 */
    break;
    default: break;
  }

  /* "glove_inner.pyx":385
 *         similarity[0] = -log(p_dist * p_dist + 1)
 * 
 *     if isnan(similarity[0]):             # <<<<<<<<<<<<<<
 *         printf("[%f %f], [%f %f]\n", v[0], v[1], w[0], w[1])
 *         printf("g=%f dot_vv=%f dot_ww=%f squared_dist=%f\n", g, dot_vv, dot_ww, squared_dist)
 */
  __pyx_t_1 = (isnan((__pyx_v_similarity[0])) != 0);
  if (__pyx_t_1) {

    /* "glove_inner.pyx":386
 * 
 *     if isnan(similarity[0]):
 *         printf("[%f %f], [%f %f]\n", v[0], v[1], w[0], w[1])             # <<<<<<<<<<<<<<
 *         printf("g=%f dot_vv=%f dot_ww=%f squared_dist=%f\n", g, dot_vv, dot_ww, squared_dist)
 * 
 */
    (void)(printf(((char const *)"[%f %f], [%f %f]\n"), (__pyx_v_v[0]), (__pyx_v_v[1]), (__pyx_v_w[0]), (__pyx_v_w[1])));

    /* "glove_inner.pyx":387
 *     if isnan(similarity[0]):
 *         printf("[%f %f], [%f %f]\n", v[0], v[1], w[0], w[1])
 *         printf("g=%f dot_vv=%f dot_ww=%f squared_dist=%f\n", g, dot_vv, dot_ww, squared_dist)             # <<<<<<<<<<<<<<
 * 
 *     # Derivative of similarity wrt g.
 */
    (void)(printf(((char const *)"g=%f dot_vv=%f dot_ww=%f squared_dist=%f\n"), __pyx_v_g, __pyx_v_dot_vv, __pyx_v_dot_ww, __pyx_v_squared_dist));

    /* "glove_inner.pyx":385
 *         similarity[0] = -log(p_dist * p_dist + 1)
 * 
 *     if isnan(similarity[0]):             # <<<<<<<<<<<<<<
 *         printf("[%f %f], [%f %f]\n", v[0], v[1], w[0], w[1])
 *         printf("g=%f dot_vv=%f dot_ww=%f squared_dist=%f\n", g, dot_vv, dot_ww, squared_dist)
 */
  }

  /* "glove_inner.pyx":390
 * 
 *     # Derivative of similarity wrt g.
 *     if dist_func == DistFuncType.DIST_SQ:             # <<<<<<<<<<<<<<
 *         if fabs(g - 1.0) > 0.00001:
 *             dS_dg = -2.0 * p_dist * fast_inv_sqrt(g * g - 1)
 */
  switch (__pyx_v_dist_func) {
    case __pyx_e_11glove_inner_DIST_SQ:

    /* "glove_inner.pyx":391
 *     # Derivative of similarity wrt g.
 *     if dist_func == DistFuncType.DIST_SQ:
 *         if fabs(g - 1.0) > 0.00001:             # <<<<<<<<<<<<<<
 *             dS_dg = -2.0 * p_dist * fast_inv_sqrt(g * g - 1)
 *         else:
 */
    __pyx_t_1 = ((fabs((__pyx_v_g - 1.0)) > 0.00001) != 0);
    if (__pyx_t_1) {

      /* "glove_inner.pyx":392
 *     if dist_func == DistFuncType.DIST_SQ:
 *         if fabs(g - 1.0) > 0.00001:
 *             dS_dg = -2.0 * p_dist * fast_inv_sqrt(g * g - 1)             # <<<<<<<<<<<<<<
 *         else:
 *             # dS_dg is -2 for lim g->1
 */
      __pyx_v_dS_dg = ((-2.0 * __pyx_v_p_dist) * fast_inv_sqrt(((__pyx_v_g * __pyx_v_g) - 1.0)));

      /* "glove_inner.pyx":391
 *     # Derivative of similarity wrt g.
 *     if dist_func == DistFuncType.DIST_SQ:
 *         if fabs(g - 1.0) > 0.00001:             # <<<<<<<<<<<<<<
 *             dS_dg = -2.0 * p_dist * fast_inv_sqrt(g * g - 1)
 *         else:
 */
      goto __pyx_L13;
    }

    /* "glove_inner.pyx":395
 *         else:
 *             # dS_dg is -2 for lim g->1
 *             dS_dg = -2.0             # <<<<<<<<<<<<<<
 *     elif dist_func == DistFuncType.DIST:
 *         dS_dg = -fast_inv_sqrt(g * g - 1)
 */
    /*else*/ {
      __pyx_v_dS_dg = -2.0;
    }
    __pyx_L13:;

    /* "glove_inner.pyx":390
 * 
 *     # Derivative of similarity wrt g.
 *     if dist_func == DistFuncType.DIST_SQ:             # <<<<<<<<<<<<<<
 *         if fabs(g - 1.0) > 0.00001:
 *             dS_dg = -2.0 * p_dist * fast_inv_sqrt(g * g - 1)
 */
    break;

    /* "glove_inner.pyx":396
 *             # dS_dg is -2 for lim g->1
 *             dS_dg = -2.0
 *     elif dist_func == DistFuncType.DIST:             # <<<<<<<<<<<<<<
 *         dS_dg = -fast_inv_sqrt(g * g - 1)
 *     elif dist_func == DistFuncType.COSH_DIST:
 */
    case __pyx_e_11glove_inner_DIST:

    /* "glove_inner.pyx":397
 *             dS_dg = -2.0
 *     elif dist_func == DistFuncType.DIST:
 *         dS_dg = -fast_inv_sqrt(g * g - 1)             # <<<<<<<<<<<<<<
 *     elif dist_func == DistFuncType.COSH_DIST:
 *         dS_dg = -1.0
 */
    __pyx_v_dS_dg = (-fast_inv_sqrt(((__pyx_v_g * __pyx_v_g) - 1.0)));

    /* "glove_inner.pyx":396
 *             # dS_dg is -2 for lim g->1
 *             dS_dg = -2.0
 *     elif dist_func == DistFuncType.DIST:             # <<<<<<<<<<<<<<
 *         dS_dg = -fast_inv_sqrt(g * g - 1)
 *     elif dist_func == DistFuncType.COSH_DIST:
 */
    break;

    /* "glove_inner.pyx":398
 *     elif dist_func == DistFuncType.DIST:
 *         dS_dg = -fast_inv_sqrt(g * g - 1)
 *     elif dist_func == DistFuncType.COSH_DIST:             # <<<<<<<<<<<<<<
 *         dS_dg = -1.0
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 */
    case __pyx_e_11glove_inner_COSH_DIST:

    /* "glove_inner.pyx":399
 *         dS_dg = -fast_inv_sqrt(g * g - 1)
 *     elif dist_func == DistFuncType.COSH_DIST:
 *         dS_dg = -1.0             # <<<<<<<<<<<<<<
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 *         dS_dg = -2.0 * p_dist
 */
    __pyx_v_dS_dg = -1.0;

    /* "glove_inner.pyx":398
 *     elif dist_func == DistFuncType.DIST:
 *         dS_dg = -fast_inv_sqrt(g * g - 1)
 *     elif dist_func == DistFuncType.COSH_DIST:             # <<<<<<<<<<<<<<
 *         dS_dg = -1.0
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 */
    break;

    /* "glove_inner.pyx":400
 *     elif dist_func == DistFuncType.COSH_DIST:
 *         dS_dg = -1.0
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:             # <<<<<<<<<<<<<<
 *         dS_dg = -2.0 * p_dist
 *     elif dist_func == DistFuncType.COSH_DIST_POW_K:
 */
    case __pyx_e_11glove_inner_COSH_DIST_SQ:

    /* "glove_inner.pyx":401
 *         dS_dg = -1.0
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 *         dS_dg = -2.0 * p_dist             # <<<<<<<<<<<<<<
 *     elif dist_func == DistFuncType.COSH_DIST_POW_K:
 *         dS_dg = -cosh_dist_pow * p_dist / g
 */
    __pyx_v_dS_dg = (-2.0 * __pyx_v_p_dist);

    /* "glove_inner.pyx":400
 *     elif dist_func == DistFuncType.COSH_DIST:
 *         dS_dg = -1.0
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:             # <<<<<<<<<<<<<<
 *         dS_dg = -2.0 * p_dist
 *     elif dist_func == DistFuncType.COSH_DIST_POW_K:
 */
    break;

    /* "glove_inner.pyx":402
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 *         dS_dg = -2.0 * p_dist
 *     elif dist_func == DistFuncType.COSH_DIST_POW_K:             # <<<<<<<<<<<<<<
 *         dS_dg = -cosh_dist_pow * p_dist / g
 *     elif dist_func == DistFuncType.LOG_DIST_SQ:
 */
    case __pyx_e_11glove_inner_COSH_DIST_POW_K:

    /* "glove_inner.pyx":403
 *         dS_dg = -2.0 * p_dist
 *     elif dist_func == DistFuncType.COSH_DIST_POW_K:
 *         dS_dg = -cosh_dist_pow * p_dist / g             # <<<<<<<<<<<<<<
 *     elif dist_func == DistFuncType.LOG_DIST_SQ:
 *         if fabs(g - 1.0) > 0.00001:
 */
    __pyx_v_dS_dg = (((-__pyx_v_cosh_dist_pow) * __pyx_v_p_dist) / __pyx_v_g);

    /* "glove_inner.pyx":402
 *     elif dist_func == DistFuncType.COSH_DIST_SQ:
 *         dS_dg = -2.0 * p_dist
 *     elif dist_func == DistFuncType.COSH_DIST_POW_K:             # <<<<<<<<<<<<<<
 *         dS_dg = -cosh_dist_pow * p_dist / g
 *     elif dist_func == DistFuncType.LOG_DIST_SQ:
 */
    break;

    /* "glove_inner.pyx":404
 *     elif dist_func == DistFuncType.COSH_DIST_POW_K:
 *         dS_dg = -cosh_dist_pow * p_dist / g
 *     elif dist_func == DistFuncType.LOG_DIST_SQ:             # <<<<<<<<<<<<<<
 *         if fabs(g - 1.0) > 0.00001:
 *             dS_dg = -2.0 * p_dist / sqrt(g * g - 1) / (p_dist * p_dist + 1)
 */
    case __pyx_e_11glove_inner_LOG_DIST_SQ:

    /* "glove_inner.pyx":405
 *         dS_dg = -cosh_dist_pow * p_dist / g
 *     elif dist_func == DistFuncType.LOG_DIST_SQ:
 *         if fabs(g - 1.0) > 0.00001:             # <<<<<<<<<<<<<<
 *             dS_dg = -2.0 * p_dist / sqrt(g * g - 1) / (p_dist * p_dist + 1)
 *         else:
 */
    __pyx_t_1 = ((fabs((__pyx_v_g - 1.0)) > 0.00001) != 0);
    if (__pyx_t_1) {

      /* "glove_inner.pyx":406
 *     elif dist_func == DistFuncType.LOG_DIST_SQ:
 *         if fabs(g - 1.0) > 0.00001:
 *             dS_dg = -2.0 * p_dist / sqrt(g * g - 1) / (p_dist * p_dist + 1)             # <<<<<<<<<<<<<<
 *         else:
 *             # dS_dg is -2 for lim g->1
 */
      __pyx_v_dS_dg = (((-2.0 * __pyx_v_p_dist) / sqrt(((__pyx_v_g * __pyx_v_g) - 1.0))) / ((__pyx_v_p_dist * __pyx_v_p_dist) + 1.0));

      /* "glove_inner.pyx":405
 *         dS_dg = -cosh_dist_pow * p_dist / g
 *     elif dist_func == DistFuncType.LOG_DIST_SQ:
 *         if fabs(g - 1.0) > 0.00001:             # <<<<<<<<<<<<<<
 *             dS_dg = -2.0 * p_dist / sqrt(g * g - 1) / (p_dist * p_dist + 1)
 *         else:
 */
      goto __pyx_L14;
    }

    /* "glove_inner.pyx":409
 *         else:
 *             # dS_dg is -2 for lim g->1
 *             dS_dg = -2.0             # <<<<<<<<<<<<<<
 *     else:
 *         printf("Unsupported distance function used.\n")
 */
    /*else*/ {
      __pyx_v_dS_dg = -2.0;
    }
    __pyx_L14:;

    /* "glove_inner.pyx":404
 *     elif dist_func == DistFuncType.COSH_DIST_POW_K:
 *         dS_dg = -cosh_dist_pow * p_dist / g
 *     elif dist_func == DistFuncType.LOG_DIST_SQ:             # <<<<<<<<<<<<<<
 *         if fabs(g - 1.0) > 0.00001:
 *             dS_dg = -2.0 * p_dist / sqrt(g * g - 1) / (p_dist * p_dist + 1)
 */
    break;
    default:

    /* "glove_inner.pyx":411
 *             dS_dg = -2.0
 *     else:
 *         printf("Unsupported distance function used.\n")             # <<<<<<<<<<<<<<
 *         exit(-1)
 * 
 */
    (void)(printf(((char const *)"Unsupported distance function used.\n")));

    /* "glove_inner.pyx":412
 *     else:
 *         printf("Unsupported distance function used.\n")
 *         exit(-1)             # <<<<<<<<<<<<<<
 * 
 *     # Compute derivative wrt v multiplied by the inverse of the conformal factor at v.
 */
    exit(-1);
    break;
  }

  /* "glove_inner.pyx":415
 * 
 *     # Compute derivative wrt v multiplied by the inverse of the conformal factor at v.
 *     factor = dS_dg * alpha_v / beta_w             # <<<<<<<<<<<<<<
 *     start = 1
 *     # Compute result[1] = coef1 * v + coef2 * w
 */
  __pyx_v_factor = ((__pyx_v_dS_dg * __pyx_v_alpha_v) / __pyx_v_beta_w);

  /* "glove_inner.pyx":416
 *     # Compute derivative wrt v multiplied by the inverse of the conformal factor at v.
 *     factor = dS_dg * alpha_v / beta_w
 *     start = 1             # <<<<<<<<<<<<<<
 *     # Compute result[1] = coef1 * v + coef2 * w
 *     scopy(&size, v, &ONE, gradR_dS_dv, &ONE)
 */
  __pyx_v_start = 1;

  /* "glove_inner.pyx":418
 *     start = 1
 *     # Compute result[1] = coef1 * v + coef2 * w
 *     scopy(&size, v, &ONE, gradR_dS_dv, &ONE)             # <<<<<<<<<<<<<<
 *     coef = (1.0 + squared_dist / alpha_v) * factor
 *     sscal(&size, &coef, gradR_dS_dv, &ONE)
 */
  __pyx_v_11glove_inner_scopy((&__pyx_v_size), __pyx_v_v, (&__pyx_v_11glove_inner_ONE), __pyx_v_gradR_dS_dv, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":419
 *     # Compute result[1] = coef1 * v + coef2 * w
 *     scopy(&size, v, &ONE, gradR_dS_dv, &ONE)
 *     coef = (1.0 + squared_dist / alpha_v) * factor             # <<<<<<<<<<<<<<
 *     sscal(&size, &coef, gradR_dS_dv, &ONE)
 *     coef = -factor
 */
  __pyx_v_coef = ((1.0 + (__pyx_v_squared_dist / __pyx_v_alpha_v)) * __pyx_v_factor);

  /* "glove_inner.pyx":420
 *     scopy(&size, v, &ONE, gradR_dS_dv, &ONE)
 *     coef = (1.0 + squared_dist / alpha_v) * factor
 *     sscal(&size, &coef, gradR_dS_dv, &ONE)             # <<<<<<<<<<<<<<
 *     coef = -factor
 *     saxpy(&size, &coef, w, &ONE, gradR_dS_dv, &ONE)
 */
  __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_gradR_dS_dv, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":421
 *     coef = (1.0 + squared_dist / alpha_v) * factor
 *     sscal(&size, &coef, gradR_dS_dv, &ONE)
 *     coef = -factor             # <<<<<<<<<<<<<<
 *     saxpy(&size, &coef, w, &ONE, gradR_dS_dv, &ONE)
 *     clamp(gradR_dS_dv, size, -GRAD_CLAMP_THRESHOLD, GRAD_CLAMP_THRESHOLD)
 */
  __pyx_v_coef = (-__pyx_v_factor);

  /* "glove_inner.pyx":422
 *     sscal(&size, &coef, gradR_dS_dv, &ONE)
 *     coef = -factor
 *     saxpy(&size, &coef, w, &ONE, gradR_dS_dv, &ONE)             # <<<<<<<<<<<<<<
 *     clamp(gradR_dS_dv, size, -GRAD_CLAMP_THRESHOLD, GRAD_CLAMP_THRESHOLD)
 * 
 */
  __pyx_v_11glove_inner_saxpy((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_w, (&__pyx_v_11glove_inner_ONE), __pyx_v_gradR_dS_dv, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":423
 *     coef = -factor
 *     saxpy(&size, &coef, w, &ONE, gradR_dS_dv, &ONE)
 *     clamp(gradR_dS_dv, size, -GRAD_CLAMP_THRESHOLD, GRAD_CLAMP_THRESHOLD)             # <<<<<<<<<<<<<<
 * 
 *     # Compute derivative wrt w multiplied by the inverse of the conformal factor at w.
 */
  __pyx_f_11glove_inner_clamp(__pyx_v_gradR_dS_dv, __pyx_v_size, -10.0, 10.0);

  /* "glove_inner.pyx":426
 * 
 *     # Compute derivative wrt w multiplied by the inverse of the conformal factor at w.
 *     factor = dS_dg * beta_w / alpha_v             # <<<<<<<<<<<<<<
 *     start = 1 + size
 *     # Compute result[1+size] = coef1 * w + coef2 * v
 */
  __pyx_v_factor = ((__pyx_v_dS_dg * __pyx_v_beta_w) / __pyx_v_alpha_v);

  /* "glove_inner.pyx":427
 *     # Compute derivative wrt w multiplied by the inverse of the conformal factor at w.
 *     factor = dS_dg * beta_w / alpha_v
 *     start = 1 + size             # <<<<<<<<<<<<<<
 *     # Compute result[1+size] = coef1 * w + coef2 * v
 *     scopy(&size, w, &ONE, gradR_dS_dw, &ONE)
 */
  __pyx_v_start = (1 + __pyx_v_size);

  /* "glove_inner.pyx":429
 *     start = 1 + size
 *     # Compute result[1+size] = coef1 * w + coef2 * v
 *     scopy(&size, w, &ONE, gradR_dS_dw, &ONE)             # <<<<<<<<<<<<<<
 *     coef = (1.0 + squared_dist / beta_w) * factor
 *     sscal(&size, &coef, gradR_dS_dw, &ONE)
 */
  __pyx_v_11glove_inner_scopy((&__pyx_v_size), __pyx_v_w, (&__pyx_v_11glove_inner_ONE), __pyx_v_gradR_dS_dw, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":430
 *     # Compute result[1+size] = coef1 * w + coef2 * v
 *     scopy(&size, w, &ONE, gradR_dS_dw, &ONE)
 *     coef = (1.0 + squared_dist / beta_w) * factor             # <<<<<<<<<<<<<<
 *     sscal(&size, &coef, gradR_dS_dw, &ONE)
 *     coef = -factor
 */
  __pyx_v_coef = ((1.0 + (__pyx_v_squared_dist / __pyx_v_beta_w)) * __pyx_v_factor);

  /* "glove_inner.pyx":431
 *     scopy(&size, w, &ONE, gradR_dS_dw, &ONE)
 *     coef = (1.0 + squared_dist / beta_w) * factor
 *     sscal(&size, &coef, gradR_dS_dw, &ONE)             # <<<<<<<<<<<<<<
 *     coef = -factor
 *     saxpy(&size, &coef, v, &ONE, gradR_dS_dw, &ONE)
 */
  __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_gradR_dS_dw, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":432
 *     coef = (1.0 + squared_dist / beta_w) * factor
 *     sscal(&size, &coef, gradR_dS_dw, &ONE)
 *     coef = -factor             # <<<<<<<<<<<<<<
 *     saxpy(&size, &coef, v, &ONE, gradR_dS_dw, &ONE)
 *     clamp(gradR_dS_dw, size, -GRAD_CLAMP_THRESHOLD, GRAD_CLAMP_THRESHOLD)
 */
  __pyx_v_coef = (-__pyx_v_factor);

  /* "glove_inner.pyx":433
 *     sscal(&size, &coef, gradR_dS_dw, &ONE)
 *     coef = -factor
 *     saxpy(&size, &coef, v, &ONE, gradR_dS_dw, &ONE)             # <<<<<<<<<<<<<<
 *     clamp(gradR_dS_dw, size, -GRAD_CLAMP_THRESHOLD, GRAD_CLAMP_THRESHOLD)
 * 
 */
  __pyx_v_11glove_inner_saxpy((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_v, (&__pyx_v_11glove_inner_ONE), __pyx_v_gradR_dS_dw, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":434
 *     coef = -factor
 *     saxpy(&size, &coef, v, &ONE, gradR_dS_dw, &ONE)
 *     clamp(gradR_dS_dw, size, -GRAD_CLAMP_THRESHOLD, GRAD_CLAMP_THRESHOLD)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_f_11glove_inner_clamp(__pyx_v_gradR_dS_dw, __pyx_v_size, -10.0, 10.0);

  /* "glove_inner.pyx":318
 * # gradR_dS_dv   = Riemannian derivative of the similarity wrt v (i.e. Euclidean derivative / conformal factor at v)
 * # gradR_dS_dw   = Riemannian derivative of the similarity wrt w (i.e. Euclidean derivative / conformal factor at w)
 * cdef void poincare_similarity(REAL_t *similarity, REAL_t *gradR_dS_dv, REAL_t *gradR_dS_dw, REAL_t *v, REAL_t *w,             # <<<<<<<<<<<<<<
 *                               const int size, const DistFuncType dist_func,
 *                               const REAL_t cosh_dist_pow, int *num_projections) nogil:
 */

  /* function exit code */
}

/* "glove_inner.pyx":438
 * 
 * # Weight function used by glove to weigh the contribution of each co-occ pair.
 * cdef inline REAL_t weight_func(const REAL_t x) nogil:             # <<<<<<<<<<<<<<
 *     return 1.0 if x > X_MAX else pow(x / X_MAX, ALPHA)
 * 
 */

static CYTHON_INLINE __pyx_t_11glove_inner_REAL_t __pyx_f_11glove_inner_weight_func(__pyx_t_11glove_inner_REAL_t const __pyx_v_x) {
  __pyx_t_11glove_inner_REAL_t __pyx_r;
  double __pyx_t_1;

  /* "glove_inner.pyx":439
 * # Weight function used by glove to weigh the contribution of each co-occ pair.
 * cdef inline REAL_t weight_func(const REAL_t x) nogil:
 *     return 1.0 if x > X_MAX else pow(x / X_MAX, ALPHA)             # <<<<<<<<<<<<<<
 * 
 * # Update embedding using Euclidean AdaGrad.
 */
  if (((__pyx_v_x > __pyx_v_11glove_inner_X_MAX) != 0)) {
    __pyx_t_1 = 1.0;
  } else {
    __pyx_t_1 = pow((__pyx_v_x / __pyx_v_11glove_inner_X_MAX), __pyx_v_11glove_inner_ALPHA);
  }
  __pyx_r = __pyx_t_1;
  goto __pyx_L0;

  /* "glove_inner.pyx":438
 * 
 * # Weight function used by glove to weigh the contribution of each co-occ pair.
 * cdef inline REAL_t weight_func(const REAL_t x) nogil:             # <<<<<<<<<<<<<<
 *     return 1.0 if x > X_MAX else pow(x / X_MAX, ALPHA)
 * 
 */

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

/* "glove_inner.pyx":442
 * 
 * # Update embedding using Euclidean AdaGrad.
 * cdef inline void update_embedding(const int size, REAL_t *emb, REAL_t lr, REAL_t *grad, REAL_t *gradsq) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i
 * 
 */

static CYTHON_INLINE void __pyx_f_11glove_inner_update_embedding(int const __pyx_v_size, __pyx_t_11glove_inner_REAL_t *__pyx_v_emb, __pyx_t_11glove_inner_REAL_t __pyx_v_lr, __pyx_t_11glove_inner_REAL_t *__pyx_v_grad, __pyx_t_11glove_inner_REAL_t *__pyx_v_gradsq) {
  int __pyx_v_i;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "glove_inner.pyx":445
 *     cdef int i
 * 
 *     for i in range(size):             # <<<<<<<<<<<<<<
 *         emb[i] = emb[i] - lr * grad[i] * fast_inv_sqrt(gradsq[i])
 *         gradsq[i] = gradsq[i] + grad[i] * grad[i]
 */
  __pyx_t_1 = __pyx_v_size;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "glove_inner.pyx":446
 * 
 *     for i in range(size):
 *         emb[i] = emb[i] - lr * grad[i] * fast_inv_sqrt(gradsq[i])             # <<<<<<<<<<<<<<
 *         gradsq[i] = gradsq[i] + grad[i] * grad[i]
 * 
 */
    (__pyx_v_emb[__pyx_v_i]) = ((__pyx_v_emb[__pyx_v_i]) - ((__pyx_v_lr * (__pyx_v_grad[__pyx_v_i])) * fast_inv_sqrt((__pyx_v_gradsq[__pyx_v_i]))));

    /* "glove_inner.pyx":447
 *     for i in range(size):
 *         emb[i] = emb[i] - lr * grad[i] * fast_inv_sqrt(gradsq[i])
 *         gradsq[i] = gradsq[i] + grad[i] * grad[i]             # <<<<<<<<<<<<<<
 * 
 * # Update a Poincare embedding using the full RSGD:
 */
    (__pyx_v_gradsq[__pyx_v_i]) = ((__pyx_v_gradsq[__pyx_v_i]) + ((__pyx_v_grad[__pyx_v_i]) * (__pyx_v_grad[__pyx_v_i])));
  }

  /* "glove_inner.pyx":442
 * 
 * # Update embedding using Euclidean AdaGrad.
 * cdef inline void update_embedding(const int size, REAL_t *emb, REAL_t lr, REAL_t *grad, REAL_t *gradsq) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i
 * 
 */

  /* function exit code */
}

/* "glove_inner.pyx":458
 * #       grad : array
 * #           Riemannian gradient of loss wrt emb
 * cdef inline void update_embedding_full_rsgd(const int size, REAL_t *emb, REAL_t lr, REAL_t *grad) nogil:             # <<<<<<<<<<<<<<
 *     cdef REAL_t emb_norm, v_norm, dot_emb_emb, dot_emb_v, dot_vv, alpha, gamma, denominator, coef, threshold = 1.0 - EPS, norm_factor
 * 
 */

static CYTHON_INLINE void __pyx_f_11glove_inner_update_embedding_full_rsgd(int const __pyx_v_size, __pyx_t_11glove_inner_REAL_t *__pyx_v_emb, __pyx_t_11glove_inner_REAL_t __pyx_v_lr, __pyx_t_11glove_inner_REAL_t *__pyx_v_grad) {
  __pyx_t_11glove_inner_REAL_t __pyx_v_emb_norm;
  __pyx_t_11glove_inner_REAL_t __pyx_v_v_norm;
  __pyx_t_11glove_inner_REAL_t __pyx_v_dot_emb_emb;
  __pyx_t_11glove_inner_REAL_t __pyx_v_dot_emb_v;
  __pyx_t_11glove_inner_REAL_t __pyx_v_dot_vv;
  __pyx_t_11glove_inner_REAL_t __pyx_v_alpha;
  __pyx_t_11glove_inner_REAL_t __pyx_v_gamma;
  __pyx_t_11glove_inner_REAL_t __pyx_v_denominator;
  __pyx_t_11glove_inner_REAL_t __pyx_v_coef;
  __pyx_t_11glove_inner_REAL_t __pyx_v_threshold;
  __pyx_t_11glove_inner_REAL_t __pyx_v_norm_factor;
  int __pyx_t_1;

  /* "glove_inner.pyx":459
 * #           Riemannian gradient of loss wrt emb
 * cdef inline void update_embedding_full_rsgd(const int size, REAL_t *emb, REAL_t lr, REAL_t *grad) nogil:
 *     cdef REAL_t emb_norm, v_norm, dot_emb_emb, dot_emb_v, dot_vv, alpha, gamma, denominator, coef, threshold = 1.0 - EPS, norm_factor             # <<<<<<<<<<<<<<
 * 
 *     v_norm = lr * snrm2(&size, grad, &ONE) + 1e-15
 */
  __pyx_v_threshold = (1.0 - 1e-05);

  /* "glove_inner.pyx":461
 *     cdef REAL_t emb_norm, v_norm, dot_emb_emb, dot_emb_v, dot_vv, alpha, gamma, denominator, coef, threshold = 1.0 - EPS, norm_factor
 * 
 *     v_norm = lr * snrm2(&size, grad, &ONE) + 1e-15             # <<<<<<<<<<<<<<
 *     dot_emb_v = -lr * our_dot(&size, emb, &ONE, grad, &ONE)
 *     dot_emb_emb = our_dot(&size, emb, &ONE, emb, &ONE)
 */
  __pyx_v_v_norm = ((__pyx_v_lr * __pyx_v_11glove_inner_snrm2((&__pyx_v_size), __pyx_v_grad, (&__pyx_v_11glove_inner_ONE))) + 1e-15);

  /* "glove_inner.pyx":462
 * 
 *     v_norm = lr * snrm2(&size, grad, &ONE) + 1e-15
 *     dot_emb_v = -lr * our_dot(&size, emb, &ONE, grad, &ONE)             # <<<<<<<<<<<<<<
 *     dot_emb_emb = our_dot(&size, emb, &ONE, emb, &ONE)
 *     dot_vv = lr * lr * our_dot(&size, grad, &ONE, grad, &ONE)
 */
  __pyx_v_dot_emb_v = ((-__pyx_v_lr) * __pyx_v_11glove_inner_our_dot((&__pyx_v_size), __pyx_v_emb, (&__pyx_v_11glove_inner_ONE), __pyx_v_grad, (&__pyx_v_11glove_inner_ONE)));

  /* "glove_inner.pyx":463
 *     v_norm = lr * snrm2(&size, grad, &ONE) + 1e-15
 *     dot_emb_v = -lr * our_dot(&size, emb, &ONE, grad, &ONE)
 *     dot_emb_emb = our_dot(&size, emb, &ONE, emb, &ONE)             # <<<<<<<<<<<<<<
 *     dot_vv = lr * lr * our_dot(&size, grad, &ONE, grad, &ONE)
 *     alpha = our_tanh(v_norm / (1 - dot_emb_emb)) / v_norm
 */
  __pyx_v_dot_emb_emb = __pyx_v_11glove_inner_our_dot((&__pyx_v_size), __pyx_v_emb, (&__pyx_v_11glove_inner_ONE), __pyx_v_emb, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":464
 *     dot_emb_v = -lr * our_dot(&size, emb, &ONE, grad, &ONE)
 *     dot_emb_emb = our_dot(&size, emb, &ONE, emb, &ONE)
 *     dot_vv = lr * lr * our_dot(&size, grad, &ONE, grad, &ONE)             # <<<<<<<<<<<<<<
 *     alpha = our_tanh(v_norm / (1 - dot_emb_emb)) / v_norm
 *     gamma = alpha * alpha * dot_vv
 */
  __pyx_v_dot_vv = ((__pyx_v_lr * __pyx_v_lr) * __pyx_v_11glove_inner_our_dot((&__pyx_v_size), __pyx_v_grad, (&__pyx_v_11glove_inner_ONE), __pyx_v_grad, (&__pyx_v_11glove_inner_ONE)));

  /* "glove_inner.pyx":465
 *     dot_emb_emb = our_dot(&size, emb, &ONE, emb, &ONE)
 *     dot_vv = lr * lr * our_dot(&size, grad, &ONE, grad, &ONE)
 *     alpha = our_tanh(v_norm / (1 - dot_emb_emb)) / v_norm             # <<<<<<<<<<<<<<
 *     gamma = alpha * alpha * dot_vv
 *     denominator = 1 + 2 * alpha * dot_emb_v + dot_emb_emb * gamma + 1e-15
 */
  __pyx_v_alpha = (__pyx_f_11glove_inner_our_tanh((__pyx_v_v_norm / (1.0 - __pyx_v_dot_emb_emb))) / __pyx_v_v_norm);

  /* "glove_inner.pyx":466
 *     dot_vv = lr * lr * our_dot(&size, grad, &ONE, grad, &ONE)
 *     alpha = our_tanh(v_norm / (1 - dot_emb_emb)) / v_norm
 *     gamma = alpha * alpha * dot_vv             # <<<<<<<<<<<<<<
 *     denominator = 1 + 2 * alpha * dot_emb_v + dot_emb_emb * gamma + 1e-15
 *     coef = (1 + 2 * alpha * dot_emb_v + gamma) / denominator
 */
  __pyx_v_gamma = ((__pyx_v_alpha * __pyx_v_alpha) * __pyx_v_dot_vv);

  /* "glove_inner.pyx":467
 *     alpha = our_tanh(v_norm / (1 - dot_emb_emb)) / v_norm
 *     gamma = alpha * alpha * dot_vv
 *     denominator = 1 + 2 * alpha * dot_emb_v + dot_emb_emb * gamma + 1e-15             # <<<<<<<<<<<<<<
 *     coef = (1 + 2 * alpha * dot_emb_v + gamma) / denominator
 *     sscal(&size, &coef, emb, &ONE)
 */
  __pyx_v_denominator = (((1.0 + ((2.0 * __pyx_v_alpha) * __pyx_v_dot_emb_v)) + (__pyx_v_dot_emb_emb * __pyx_v_gamma)) + 1e-15);

  /* "glove_inner.pyx":468
 *     gamma = alpha * alpha * dot_vv
 *     denominator = 1 + 2 * alpha * dot_emb_v + dot_emb_emb * gamma + 1e-15
 *     coef = (1 + 2 * alpha * dot_emb_v + gamma) / denominator             # <<<<<<<<<<<<<<
 *     sscal(&size, &coef, emb, &ONE)
 * 
 */
  __pyx_v_coef = (((1.0 + ((2.0 * __pyx_v_alpha) * __pyx_v_dot_emb_v)) + __pyx_v_gamma) / __pyx_v_denominator);

  /* "glove_inner.pyx":469
 *     denominator = 1 + 2 * alpha * dot_emb_v + dot_emb_emb * gamma + 1e-15
 *     coef = (1 + 2 * alpha * dot_emb_v + gamma) / denominator
 *     sscal(&size, &coef, emb, &ONE)             # <<<<<<<<<<<<<<
 * 
 *     coef = (1 - dot_emb_emb) * alpha * (-lr) / denominator
 */
  __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_emb, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":471
 *     sscal(&size, &coef, emb, &ONE)
 * 
 *     coef = (1 - dot_emb_emb) * alpha * (-lr) / denominator             # <<<<<<<<<<<<<<
 *     our_saxpy(&size, &coef, grad, &ONE, emb, &ONE)
 * 
 */
  __pyx_v_coef = ((((1.0 - __pyx_v_dot_emb_emb) * __pyx_v_alpha) * (-__pyx_v_lr)) / __pyx_v_denominator);

  /* "glove_inner.pyx":472
 * 
 *     coef = (1 - dot_emb_emb) * alpha * (-lr) / denominator
 *     our_saxpy(&size, &coef, grad, &ONE, emb, &ONE)             # <<<<<<<<<<<<<<
 * 
 *     # Project back onto the ball.
 */
  __pyx_v_11glove_inner_our_saxpy((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_grad, (&__pyx_v_11glove_inner_ONE), __pyx_v_emb, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":475
 * 
 *     # Project back onto the ball.
 *     emb_norm = snrm2(&size, emb, &ONE)             # <<<<<<<<<<<<<<
 *     if emb_norm > threshold:
 *         norm_factor = threshold / emb_norm
 */
  __pyx_v_emb_norm = __pyx_v_11glove_inner_snrm2((&__pyx_v_size), __pyx_v_emb, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":476
 *     # Project back onto the ball.
 *     emb_norm = snrm2(&size, emb, &ONE)
 *     if emb_norm > threshold:             # <<<<<<<<<<<<<<
 *         norm_factor = threshold / emb_norm
 *         sscal(&size, &norm_factor, emb, &ONE)
 */
  __pyx_t_1 = ((__pyx_v_emb_norm > __pyx_v_threshold) != 0);
  if (__pyx_t_1) {

    /* "glove_inner.pyx":477
 *     emb_norm = snrm2(&size, emb, &ONE)
 *     if emb_norm > threshold:
 *         norm_factor = threshold / emb_norm             # <<<<<<<<<<<<<<
 *         sscal(&size, &norm_factor, emb, &ONE)
 * 
 */
    __pyx_v_norm_factor = (__pyx_v_threshold / __pyx_v_emb_norm);

    /* "glove_inner.pyx":478
 *     if emb_norm > threshold:
 *         norm_factor = threshold / emb_norm
 *         sscal(&size, &norm_factor, emb, &ONE)             # <<<<<<<<<<<<<<
 * 
 * # Update embedding using RAMSGrad. In gradsq we store the accumulated squared gradients. We only have one scalar per
 */
    __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_norm_factor), __pyx_v_emb, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":476
 *     # Project back onto the ball.
 *     emb_norm = snrm2(&size, emb, &ONE)
 *     if emb_norm > threshold:             # <<<<<<<<<<<<<<
 *         norm_factor = threshold / emb_norm
 *         sscal(&size, &norm_factor, emb, &ONE)
 */
  }

  /* "glove_inner.pyx":458
 * #       grad : array
 * #           Riemannian gradient of loss wrt emb
 * cdef inline void update_embedding_full_rsgd(const int size, REAL_t *emb, REAL_t lr, REAL_t *grad) nogil:             # <<<<<<<<<<<<<<
 *     cdef REAL_t emb_norm, v_norm, dot_emb_emb, dot_emb_v, dot_vv, alpha, gamma, denominator, coef, threshold = 1.0 - EPS, norm_factor
 * 
 */

  /* function exit code */
}

/* "glove_inner.pyx":483
 * # embedding, so, for the ith embedding we only use gradsq[i*size], not the whole gradsq[i*size : (i+1)*size]
 * # Similarly, in mom we store the momentum (one per embedding) and in betas we store beta1 and beta2 in betas[0] and betas[1] respectively.
 * cdef inline void update_embedding_ramsgrad(const int size, REAL_t *emb, REAL_t lr, REAL_t *grad,             # <<<<<<<<<<<<<<
 *                                            REAL_t *gradsq, REAL_t *mom, REAL_t *betas) nogil:
 *     cdef REAL_t adapted_lr, coef, mom_norm, norm_factor, threshold = 1-EPS
 */

static CYTHON_INLINE void __pyx_f_11glove_inner_update_embedding_ramsgrad(int const __pyx_v_size, __pyx_t_11glove_inner_REAL_t *__pyx_v_emb, __pyx_t_11glove_inner_REAL_t __pyx_v_lr, __pyx_t_11glove_inner_REAL_t *__pyx_v_grad, __pyx_t_11glove_inner_REAL_t *__pyx_v_gradsq, __pyx_t_11glove_inner_REAL_t *__pyx_v_mom, __pyx_t_11glove_inner_REAL_t *__pyx_v_betas) {
  __pyx_t_11glove_inner_REAL_t __pyx_v_adapted_lr;
  __pyx_t_11glove_inner_REAL_t __pyx_v_coef;
  __pyx_t_11glove_inner_REAL_t __pyx_v_mom_norm;
  __pyx_t_11glove_inner_REAL_t __pyx_v_norm_factor;
  __pyx_t_11glove_inner_REAL_t __pyx_v_threshold;
  double __pyx_t_1;
  __pyx_t_11glove_inner_REAL_t __pyx_t_2;
  double __pyx_t_3;
  int __pyx_t_4;

  /* "glove_inner.pyx":485
 * cdef inline void update_embedding_ramsgrad(const int size, REAL_t *emb, REAL_t lr, REAL_t *grad,
 *                                            REAL_t *gradsq, REAL_t *mom, REAL_t *betas) nogil:
 *     cdef REAL_t adapted_lr, coef, mom_norm, norm_factor, threshold = 1-EPS             # <<<<<<<<<<<<<<
 * 
 *     # Update accumulated betas.
 */
  __pyx_v_threshold = (1.0 - 1e-05);

  /* "glove_inner.pyx":488
 * 
 *     # Update accumulated betas.
 *     betas[0] = 0.0  # betas[0] * BETA1             # <<<<<<<<<<<<<<
 *     betas[1] = 0.0  # betas[1] * BETA2
 * 
 */
  (__pyx_v_betas[0]) = 0.0;

  /* "glove_inner.pyx":489
 *     # Update accumulated betas.
 *     betas[0] = 0.0  # betas[0] * BETA1
 *     betas[1] = 0.0  # betas[1] * BETA2             # <<<<<<<<<<<<<<
 * 
 *     # Update momentum.
 */
  (__pyx_v_betas[1]) = 0.0;

  /* "glove_inner.pyx":492
 * 
 *     # Update momentum.
 *     coef = BETA1 / (1 - betas[0])             # <<<<<<<<<<<<<<
 *     sscal(&size, &coef, mom, &ONE)
 *     coef = (1 - BETA1) / (1 - betas[0])
 */
  __pyx_v_coef = (0.9 / (1.0 - (__pyx_v_betas[0])));

  /* "glove_inner.pyx":493
 *     # Update momentum.
 *     coef = BETA1 / (1 - betas[0])
 *     sscal(&size, &coef, mom, &ONE)             # <<<<<<<<<<<<<<
 *     coef = (1 - BETA1) / (1 - betas[0])
 *     our_saxpy(&size, &coef, grad, &ONE, mom, &ONE)
 */
  __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_mom, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":494
 *     coef = BETA1 / (1 - betas[0])
 *     sscal(&size, &coef, mom, &ONE)
 *     coef = (1 - BETA1) / (1 - betas[0])             # <<<<<<<<<<<<<<
 *     our_saxpy(&size, &coef, grad, &ONE, mom, &ONE)
 * 
 */
  __pyx_v_coef = ((1.0 - 0.9) / (1.0 - (__pyx_v_betas[0])));

  /* "glove_inner.pyx":495
 *     sscal(&size, &coef, mom, &ONE)
 *     coef = (1 - BETA1) / (1 - betas[0])
 *     our_saxpy(&size, &coef, grad, &ONE, mom, &ONE)             # <<<<<<<<<<<<<<
 * 
 *     # Update the sum of the past squared gradients.
 */
  __pyx_v_11glove_inner_our_saxpy((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_grad, (&__pyx_v_11glove_inner_ONE), __pyx_v_mom, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":499
 *     # Update the sum of the past squared gradients.
 *     gradsq[0] = max(gradsq[0],
 *                     (BETA2 * gradsq[0] + (1 - BETA2) * our_dot(&size, grad, &ONE, grad, &ONE) / size) / (1 - betas[1]))             # <<<<<<<<<<<<<<
 * 
 *     adapted_lr = lr * fast_inv_sqrt(gradsq[0])
 */
  __pyx_t_1 = (((0.999 * (__pyx_v_gradsq[0])) + (((1.0 - 0.999) * __pyx_v_11glove_inner_our_dot((&__pyx_v_size), __pyx_v_grad, (&__pyx_v_11glove_inner_ONE), __pyx_v_grad, (&__pyx_v_11glove_inner_ONE))) / __pyx_v_size)) / (1.0 - (__pyx_v_betas[1])));

  /* "glove_inner.pyx":498
 * 
 *     # Update the sum of the past squared gradients.
 *     gradsq[0] = max(gradsq[0],             # <<<<<<<<<<<<<<
 *                     (BETA2 * gradsq[0] + (1 - BETA2) * our_dot(&size, grad, &ONE, grad, &ONE) / size) / (1 - betas[1]))
 * 
 */
  __pyx_t_2 = (__pyx_v_gradsq[0]);

  /* "glove_inner.pyx":499
 *     # Update the sum of the past squared gradients.
 *     gradsq[0] = max(gradsq[0],
 *                     (BETA2 * gradsq[0] + (1 - BETA2) * our_dot(&size, grad, &ONE, grad, &ONE) / size) / (1 - betas[1]))             # <<<<<<<<<<<<<<
 * 
 *     adapted_lr = lr * fast_inv_sqrt(gradsq[0])
 */
  if (((__pyx_t_1 > __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }

  /* "glove_inner.pyx":498
 * 
 *     # Update the sum of the past squared gradients.
 *     gradsq[0] = max(gradsq[0],             # <<<<<<<<<<<<<<
 *                     (BETA2 * gradsq[0] + (1 - BETA2) * our_dot(&size, grad, &ONE, grad, &ONE) / size) / (1 - betas[1]))
 * 
 */
  (__pyx_v_gradsq[0]) = __pyx_t_3;

  /* "glove_inner.pyx":501
 *                     (BETA2 * gradsq[0] + (1 - BETA2) * our_dot(&size, grad, &ONE, grad, &ONE) / size) / (1 - betas[1]))
 * 
 *     adapted_lr = lr * fast_inv_sqrt(gradsq[0])             # <<<<<<<<<<<<<<
 * 
 *     # Perform RSGD, using the exponential map.
 */
  __pyx_v_adapted_lr = (__pyx_v_lr * fast_inv_sqrt((__pyx_v_gradsq[0])));

  /* "glove_inner.pyx":504
 * 
 *     # Perform RSGD, using the exponential map.
 *     update_embedding_full_rsgd(size, emb, adapted_lr, mom)             # <<<<<<<<<<<<<<
 * 
 *     # Project momentum onto the ball.
 */
  __pyx_f_11glove_inner_update_embedding_full_rsgd(__pyx_v_size, __pyx_v_emb, __pyx_v_adapted_lr, __pyx_v_mom);

  /* "glove_inner.pyx":507
 * 
 *     # Project momentum onto the ball.
 *     mom_norm = snrm2(&size, mom, &ONE)             # <<<<<<<<<<<<<<
 *     if mom_norm > threshold:
 *         norm_factor = threshold / mom_norm
 */
  __pyx_v_mom_norm = __pyx_v_11glove_inner_snrm2((&__pyx_v_size), __pyx_v_mom, (&__pyx_v_11glove_inner_ONE));

  /* "glove_inner.pyx":508
 *     # Project momentum onto the ball.
 *     mom_norm = snrm2(&size, mom, &ONE)
 *     if mom_norm > threshold:             # <<<<<<<<<<<<<<
 *         norm_factor = threshold / mom_norm
 *         sscal(&size, &norm_factor, mom, &ONE)
 */
  __pyx_t_4 = ((__pyx_v_mom_norm > __pyx_v_threshold) != 0);
  if (__pyx_t_4) {

    /* "glove_inner.pyx":509
 *     mom_norm = snrm2(&size, mom, &ONE)
 *     if mom_norm > threshold:
 *         norm_factor = threshold / mom_norm             # <<<<<<<<<<<<<<
 *         sscal(&size, &norm_factor, mom, &ONE)
 * 
 */
    __pyx_v_norm_factor = (__pyx_v_threshold / __pyx_v_mom_norm);

    /* "glove_inner.pyx":510
 *     if mom_norm > threshold:
 *         norm_factor = threshold / mom_norm
 *         sscal(&size, &norm_factor, mom, &ONE)             # <<<<<<<<<<<<<<
 * 
 * # Update embedding using RAdaGrad. In gradsq we store the accumulated squared gradients. We only have one scalar per
 */
    __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_norm_factor), __pyx_v_mom, (&__pyx_v_11glove_inner_ONE));

    /* "glove_inner.pyx":508
 *     # Project momentum onto the ball.
 *     mom_norm = snrm2(&size, mom, &ONE)
 *     if mom_norm > threshold:             # <<<<<<<<<<<<<<
 *         norm_factor = threshold / mom_norm
 *         sscal(&size, &norm_factor, mom, &ONE)
 */
  }

  /* "glove_inner.pyx":483
 * # embedding, so, for the ith embedding we only use gradsq[i*size], not the whole gradsq[i*size : (i+1)*size]
 * # Similarly, in mom we store the momentum (one per embedding) and in betas we store beta1 and beta2 in betas[0] and betas[1] respectively.
 * cdef inline void update_embedding_ramsgrad(const int size, REAL_t *emb, REAL_t lr, REAL_t *grad,             # <<<<<<<<<<<<<<
 *                                            REAL_t *gradsq, REAL_t *mom, REAL_t *betas) nogil:
 *     cdef REAL_t adapted_lr, coef, mom_norm, norm_factor, threshold = 1-EPS
 */

  /* function exit code */
}

/* "glove_inner.pyx":514
 * # Update embedding using RAdaGrad. In gradsq we store the accumulated squared gradients. We only have one scalar per
 * # embedding, so, for the ith embedding we only use gradsq[i*size], not the whole gradsq[i*size : (i+1)*size]
 * cdef inline void update_embedding_radagrad(const int size, REAL_t *emb, REAL_t lr, REAL_t *grad, REAL_t *gradsq) nogil:             # <<<<<<<<<<<<<<
 *     cdef REAL_t adapted_lr = lr * fast_inv_sqrt(gradsq[0])
 * 
 */

static CYTHON_INLINE void __pyx_f_11glove_inner_update_embedding_radagrad(int const __pyx_v_size, __pyx_t_11glove_inner_REAL_t *__pyx_v_emb, __pyx_t_11glove_inner_REAL_t __pyx_v_lr, __pyx_t_11glove_inner_REAL_t *__pyx_v_grad, __pyx_t_11glove_inner_REAL_t *__pyx_v_gradsq) {
  __pyx_t_11glove_inner_REAL_t __pyx_v_adapted_lr;

  /* "glove_inner.pyx":515
 * # embedding, so, for the ith embedding we only use gradsq[i*size], not the whole gradsq[i*size : (i+1)*size]
 * cdef inline void update_embedding_radagrad(const int size, REAL_t *emb, REAL_t lr, REAL_t *grad, REAL_t *gradsq) nogil:
 *     cdef REAL_t adapted_lr = lr * fast_inv_sqrt(gradsq[0])             # <<<<<<<<<<<<<<
 * 
 *     # Update the sum of the past squared gradients.
 */
  __pyx_v_adapted_lr = (__pyx_v_lr * fast_inv_sqrt((__pyx_v_gradsq[0])));

  /* "glove_inner.pyx":518
 * 
 *     # Update the sum of the past squared gradients.
 *     gradsq[0] = gradsq[0] + our_dot(&size, grad, &ONE, grad, &ONE) / size             # <<<<<<<<<<<<<<
 * 
 *     # Perform RSGD, using the exponential map.
 */
  (__pyx_v_gradsq[0]) = ((__pyx_v_gradsq[0]) + (__pyx_v_11glove_inner_our_dot((&__pyx_v_size), __pyx_v_grad, (&__pyx_v_11glove_inner_ONE), __pyx_v_grad, (&__pyx_v_11glove_inner_ONE)) / __pyx_v_size));

  /* "glove_inner.pyx":521
 * 
 *     # Perform RSGD, using the exponential map.
 *     update_embedding_full_rsgd(size, emb, adapted_lr, grad)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_f_11glove_inner_update_embedding_full_rsgd(__pyx_v_size, __pyx_v_emb, __pyx_v_adapted_lr, __pyx_v_grad);

  /* "glove_inner.pyx":514
 * # Update embedding using RAdaGrad. In gradsq we store the accumulated squared gradients. We only have one scalar per
 * # embedding, so, for the ith embedding we only use gradsq[i*size], not the whole gradsq[i*size : (i+1)*size]
 * cdef inline void update_embedding_radagrad(const int size, REAL_t *emb, REAL_t lr, REAL_t *grad, REAL_t *gradsq) nogil:             # <<<<<<<<<<<<<<
 *     cdef REAL_t adapted_lr = lr * fast_inv_sqrt(gradsq[0])
 * 
 */

  /* function exit code */
}

/* "glove_inner.pyx":525
 * 
 * # Update embeddings using RAdaGrad for the case when we use a Cartesian product of Poincare embeddings.
 * cdef inline void update_embedding_mix_radagrad(const int size, const int num_embs, REAL_t *emb, REAL_t lr, REAL_t *grad, REAL_t *gradsq) nogil:             # <<<<<<<<<<<<<<
 *     cdef REAL_t adapted_lr
 *     cdef int i, small_emb_size = size / num_embs, index
 */

static CYTHON_INLINE void __pyx_f_11glove_inner_update_embedding_mix_radagrad(int const __pyx_v_size, int const __pyx_v_num_embs, __pyx_t_11glove_inner_REAL_t *__pyx_v_emb, __pyx_t_11glove_inner_REAL_t __pyx_v_lr, __pyx_t_11glove_inner_REAL_t *__pyx_v_grad, __pyx_t_11glove_inner_REAL_t *__pyx_v_gradsq) {
  __pyx_t_11glove_inner_REAL_t __pyx_v_adapted_lr;
  int __pyx_v_i;
  int __pyx_v_small_emb_size;
  int __pyx_v_index;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "glove_inner.pyx":527
 * cdef inline void update_embedding_mix_radagrad(const int size, const int num_embs, REAL_t *emb, REAL_t lr, REAL_t *grad, REAL_t *gradsq) nogil:
 *     cdef REAL_t adapted_lr
 *     cdef int i, small_emb_size = size / num_embs, index             # <<<<<<<<<<<<<<
 * 
 *     clamp(grad, size, -GRAD_CLAMP_THRESHOLD, GRAD_CLAMP_THRESHOLD)
 */
  __pyx_v_small_emb_size = (__pyx_v_size / __pyx_v_num_embs);

  /* "glove_inner.pyx":529
 *     cdef int i, small_emb_size = size / num_embs, index
 * 
 *     clamp(grad, size, -GRAD_CLAMP_THRESHOLD, GRAD_CLAMP_THRESHOLD)             # <<<<<<<<<<<<<<
 * 
 *     # Update each of the small embeddings separately.
 */
  __pyx_f_11glove_inner_clamp(__pyx_v_grad, __pyx_v_size, -10.0, 10.0);

  /* "glove_inner.pyx":532
 * 
 *     # Update each of the small embeddings separately.
 *     for i in range(0, num_embs):             # <<<<<<<<<<<<<<
 *         index = small_emb_size * i
 *         adapted_lr = lr * fast_inv_sqrt(gradsq[index])
 */
  __pyx_t_1 = __pyx_v_num_embs;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "glove_inner.pyx":533
 *     # Update each of the small embeddings separately.
 *     for i in range(0, num_embs):
 *         index = small_emb_size * i             # <<<<<<<<<<<<<<
 *         adapted_lr = lr * fast_inv_sqrt(gradsq[index])
 * 
 */
    __pyx_v_index = (__pyx_v_small_emb_size * __pyx_v_i);

    /* "glove_inner.pyx":534
 *     for i in range(0, num_embs):
 *         index = small_emb_size * i
 *         adapted_lr = lr * fast_inv_sqrt(gradsq[index])             # <<<<<<<<<<<<<<
 * 
 *         # Update the sum of the past squared gradients.
 */
    __pyx_v_adapted_lr = (__pyx_v_lr * fast_inv_sqrt((__pyx_v_gradsq[__pyx_v_index])));

    /* "glove_inner.pyx":537
 * 
 *         # Update the sum of the past squared gradients.
 *         gradsq[index] = gradsq[index] + our_dot(&small_emb_size, &grad[index], &ONE, &grad[index], &ONE) / small_emb_size             # <<<<<<<<<<<<<<
 * 
 *         # Perform RSGD, using the exponential map.
 */
    (__pyx_v_gradsq[__pyx_v_index]) = ((__pyx_v_gradsq[__pyx_v_index]) + (__pyx_v_11glove_inner_our_dot((&__pyx_v_small_emb_size), (&(__pyx_v_grad[__pyx_v_index])), (&__pyx_v_11glove_inner_ONE), (&(__pyx_v_grad[__pyx_v_index])), (&__pyx_v_11glove_inner_ONE)) / __pyx_v_small_emb_size));

    /* "glove_inner.pyx":540
 * 
 *         # Perform RSGD, using the exponential map.
 *         update_embedding_full_rsgd(small_emb_size, &emb[index], adapted_lr, &grad[index])             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_f_11glove_inner_update_embedding_full_rsgd(__pyx_v_small_emb_size, (&(__pyx_v_emb[__pyx_v_index])), __pyx_v_adapted_lr, (&(__pyx_v_grad[__pyx_v_index])));
  }

  /* "glove_inner.pyx":525
 * 
 * # Update embeddings using RAdaGrad for the case when we use a Cartesian product of Poincare embeddings.
 * cdef inline void update_embedding_mix_radagrad(const int size, const int num_embs, REAL_t *emb, REAL_t lr, REAL_t *grad, REAL_t *gradsq) nogil:             # <<<<<<<<<<<<<<
 *     cdef REAL_t adapted_lr
 *     cdef int i, small_emb_size = size / num_embs, index
 */

  /* function exit code */
}

/* "glove_inner.pyx":543
 * 
 * 
 * cdef inline void get_similarity_and_gradients(const EmbType emb_type, const int size, const int num_embs, REAL_t *v, REAL_t *w,             # <<<<<<<<<<<<<<
 *                                               float *similarity, REAL_t *dS_dv, REAL_t *dS_dw,
 *                                               const DistFuncType dist_func, int *num_projections, const int cosh_dist_pow,
 */

static CYTHON_INLINE void __pyx_f_11glove_inner_get_similarity_and_gradients(enum __pyx_t_11glove_inner_EmbType const __pyx_v_emb_type, int const __pyx_v_size, int const __pyx_v_num_embs, __pyx_t_11glove_inner_REAL_t *__pyx_v_v, __pyx_t_11glove_inner_REAL_t *__pyx_v_w, float *__pyx_v_similarity, __pyx_t_11glove_inner_REAL_t *__pyx_v_dS_dv, __pyx_t_11glove_inner_REAL_t *__pyx_v_dS_dw, enum __pyx_t_11glove_inner_DistFuncType const __pyx_v_dist_func, int *__pyx_v_num_projections, int const __pyx_v_cosh_dist_pow, struct __pyx_t_11glove_inner_NNConfig const __pyx_v_nn, __pyx_t_11glove_inner_REAL_t *__pyx_v_grad_dS_dweights) {
  CYTHON_UNUSED int __pyx_v_small_emb_size;
  int __pyx_t_1;

  /* "glove_inner.pyx":550
 *     cdef int small_emb_size
 * 
 *     if emb_type == EmbType.VANILLA:             # <<<<<<<<<<<<<<
 *         vanilla_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func, nn, grad_dS_dweights)
 *     elif emb_type == EmbType.EUCLID:
 */
  switch (__pyx_v_emb_type) {
    case __pyx_e_11glove_inner_VANILLA:

    /* "glove_inner.pyx":551
 * 
 *     if emb_type == EmbType.VANILLA:
 *         vanilla_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func, nn, grad_dS_dweights)             # <<<<<<<<<<<<<<
 *     elif emb_type == EmbType.EUCLID:
 *         euclidean_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func)
 */
    __pyx_f_11glove_inner_vanilla_similarity(__pyx_v_similarity, __pyx_v_dS_dv, __pyx_v_dS_dw, __pyx_v_v, __pyx_v_w, __pyx_v_size, __pyx_v_dist_func, __pyx_v_nn, __pyx_v_grad_dS_dweights);

    /* "glove_inner.pyx":550
 *     cdef int small_emb_size
 * 
 *     if emb_type == EmbType.VANILLA:             # <<<<<<<<<<<<<<
 *         vanilla_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func, nn, grad_dS_dweights)
 *     elif emb_type == EmbType.EUCLID:
 */
    break;

    /* "glove_inner.pyx":552
 *     if emb_type == EmbType.VANILLA:
 *         vanilla_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func, nn, grad_dS_dweights)
 *     elif emb_type == EmbType.EUCLID:             # <<<<<<<<<<<<<<
 *         euclidean_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func)
 *     elif emb_type == EmbType.POINCARE or emb_type == EmbType.MIX_POINCARE:
 */
    case __pyx_e_11glove_inner_EUCLID:

    /* "glove_inner.pyx":553
 *         vanilla_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func, nn, grad_dS_dweights)
 *     elif emb_type == EmbType.EUCLID:
 *         euclidean_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func)             # <<<<<<<<<<<<<<
 *     elif emb_type == EmbType.POINCARE or emb_type == EmbType.MIX_POINCARE:
 *         if num_embs > 0:
 */
    __pyx_f_11glove_inner_euclidean_similarity(__pyx_v_similarity, __pyx_v_dS_dv, __pyx_v_dS_dw, __pyx_v_v, __pyx_v_w, __pyx_v_size, __pyx_v_dist_func);

    /* "glove_inner.pyx":552
 *     if emb_type == EmbType.VANILLA:
 *         vanilla_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func, nn, grad_dS_dweights)
 *     elif emb_type == EmbType.EUCLID:             # <<<<<<<<<<<<<<
 *         euclidean_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func)
 *     elif emb_type == EmbType.POINCARE or emb_type == EmbType.MIX_POINCARE:
 */
    break;

    /* "glove_inner.pyx":554
 *     elif emb_type == EmbType.EUCLID:
 *         euclidean_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func)
 *     elif emb_type == EmbType.POINCARE or emb_type == EmbType.MIX_POINCARE:             # <<<<<<<<<<<<<<
 *         if num_embs > 0:
 *             small_emb_size = size / num_embs
 */
    case __pyx_e_11glove_inner_POINCARE:
    case __pyx_e_11glove_inner_MIX_POINCARE:

    /* "glove_inner.pyx":555
 *         euclidean_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func)
 *     elif emb_type == EmbType.POINCARE or emb_type == EmbType.MIX_POINCARE:
 *         if num_embs > 0:             # <<<<<<<<<<<<<<
 *             small_emb_size = size / num_embs
 *             # In dS_dv and dS_dw we'll store the Riemannian gradient wrt v and w for all the small-dimensional embeddings.
 */
    __pyx_t_1 = ((__pyx_v_num_embs > 0) != 0);
    if (__pyx_t_1) {

      /* "glove_inner.pyx":556
 *     elif emb_type == EmbType.POINCARE or emb_type == EmbType.MIX_POINCARE:
 *         if num_embs > 0:
 *             small_emb_size = size / num_embs             # <<<<<<<<<<<<<<
 *             # In dS_dv and dS_dw we'll store the Riemannian gradient wrt v and w for all the small-dimensional embeddings.
 *             mix_poincare_similarity(similarity, dS_dv, dS_dw, v, w, size, num_embs, dist_func, 0, num_projections)
 */
      __pyx_v_small_emb_size = (__pyx_v_size / __pyx_v_num_embs);

      /* "glove_inner.pyx":558
 *             small_emb_size = size / num_embs
 *             # In dS_dv and dS_dw we'll store the Riemannian gradient wrt v and w for all the small-dimensional embeddings.
 *             mix_poincare_similarity(similarity, dS_dv, dS_dw, v, w, size, num_embs, dist_func, 0, num_projections)             # <<<<<<<<<<<<<<
 *         else:
 *             # In dS_dv and dS_dw we'll compute the Riemannian gradient wrt v and w.
 */
      __pyx_f_11glove_inner_mix_poincare_similarity(__pyx_v_similarity, __pyx_v_dS_dv, __pyx_v_dS_dw, __pyx_v_v, __pyx_v_w, __pyx_v_size, __pyx_v_num_embs, __pyx_v_dist_func, 0.0, __pyx_v_num_projections);

      /* "glove_inner.pyx":555
 *         euclidean_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func)
 *     elif emb_type == EmbType.POINCARE or emb_type == EmbType.MIX_POINCARE:
 *         if num_embs > 0:             # <<<<<<<<<<<<<<
 *             small_emb_size = size / num_embs
 *             # In dS_dv and dS_dw we'll store the Riemannian gradient wrt v and w for all the small-dimensional embeddings.
 */
      goto __pyx_L3;
    }

    /* "glove_inner.pyx":561
 *         else:
 *             # In dS_dv and dS_dw we'll compute the Riemannian gradient wrt v and w.
 *             poincare_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func, cosh_dist_pow, num_projections)             # <<<<<<<<<<<<<<
 *     else:
 *         printf("Unrecognized embedding type.")
 */
    /*else*/ {
      __pyx_f_11glove_inner_poincare_similarity(__pyx_v_similarity, __pyx_v_dS_dv, __pyx_v_dS_dw, __pyx_v_v, __pyx_v_w, __pyx_v_size, __pyx_v_dist_func, __pyx_v_cosh_dist_pow, __pyx_v_num_projections);
    }
    __pyx_L3:;

    /* "glove_inner.pyx":554
 *     elif emb_type == EmbType.EUCLID:
 *         euclidean_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func)
 *     elif emb_type == EmbType.POINCARE or emb_type == EmbType.MIX_POINCARE:             # <<<<<<<<<<<<<<
 *         if num_embs > 0:
 *             small_emb_size = size / num_embs
 */
    break;
    default:

    /* "glove_inner.pyx":563
 *             poincare_similarity(similarity, dS_dv, dS_dw, v, w, size, dist_func, cosh_dist_pow, num_projections)
 *     else:
 *         printf("Unrecognized embedding type.")             # <<<<<<<<<<<<<<
 *         exit(-1)
 * 
 */
    (void)(printf(((char const *)"Unrecognized embedding type.")));

    /* "glove_inner.pyx":564
 *     else:
 *         printf("Unrecognized embedding type.")
 *         exit(-1)             # <<<<<<<<<<<<<<
 * 
 * 
 */
    exit(-1);
    break;
  }

  /* "glove_inner.pyx":543
 * 
 * 
 * cdef inline void get_similarity_and_gradients(const EmbType emb_type, const int size, const int num_embs, REAL_t *v, REAL_t *w,             # <<<<<<<<<<<<<<
 *                                               float *similarity, REAL_t *dS_dv, REAL_t *dS_dw,
 *                                               const DistFuncType dist_func, int *num_projections, const int cosh_dist_pow,
 */

  /* function exit code */
}

/* "glove_inner.pyx":568
 * 
 * # Process the list of triples concurrently, using `prange`.
 * cdef void fast_glove(             # <<<<<<<<<<<<<<
 *         const EmbType emb_type, const int use_glove_format, double (*coocc_func)(double) nogil, const DistFuncType dist_func, const NNConfig nn,
 *         const int use_scaling, REAL_t *scaling_factor, const char *coocc_file,
 */

static void __pyx_f_11glove_inner_fast_glove(enum __pyx_t_11glove_inner_EmbType const __pyx_v_emb_type, int const __pyx_v_use_glove_format, double (*__pyx_v_coocc_func)(double), enum __pyx_t_11glove_inner_DistFuncType const __pyx_v_dist_func, struct __pyx_t_11glove_inner_NNConfig const __pyx_v_nn, int const __pyx_v_use_scaling, __pyx_t_11glove_inner_REAL_t *__pyx_v_scaling_factor, char const *__pyx_v_coocc_file, __pyx_t_11glove_inner_REAL_t *__pyx_v_syn0, __pyx_t_11glove_inner_REAL_t *__pyx_v_syn1, __pyx_t_11glove_inner_REAL_t *__pyx_v_b0, __pyx_t_11glove_inner_REAL_t *__pyx_v_b1, __pyx_t_11glove_inner_REAL_t *__pyx_v_gradsq_syn0, __pyx_t_11glove_inner_REAL_t *__pyx_v_gradsq_syn1, __pyx_t_11glove_inner_REAL_t *__pyx_v_gradsq_b0, __pyx_t_11glove_inner_REAL_t *__pyx_v_gradsq_b1, __pyx_t_11glove_inner_REAL_t *__pyx_v_mom_syn0, __pyx_t_11glove_inner_REAL_t *__pyx_v_mom_syn1, CYTHON_UNUSED __pyx_t_11glove_inner_REAL_t *__pyx_v_mom_b0, CYTHON_UNUSED __pyx_t_11glove_inner_REAL_t *__pyx_v_mom_b1, __pyx_t_11glove_inner_REAL_t *__pyx_v_betas_syn0, __pyx_t_11glove_inner_REAL_t *__pyx_v_betas_syn1, CYTHON_UNUSED __pyx_t_11glove_inner_REAL_t *__pyx_v_betas_b0, CYTHON_UNUSED __pyx_t_11glove_inner_REAL_t *__pyx_v_betas_b1, int const __pyx_v_num_workers, CYTHON_UNUSED int const __pyx_v_chunksize, int const __pyx_v_size, int const __pyx_v_num_embs, CYTHON_UNUSED int const __pyx_v_num_pairs, int const __pyx_v_max_word_index, int const __pyx_v_cosh_dist_pow, enum __pyx_t_11glove_inner_OptType const __pyx_v_optimizer, __pyx_t_11glove_inner_REAL_t const __pyx_v_lr, int const *__pyx_v_index2freq, int const __pyx_v__compute_loss, int const __pyx_v_with_bias, int const __pyx_v_use_log_probs, __pyx_t_11glove_inner_REAL_t *__pyx_v__total_training_loss, int *__pyx_v__trained_pair_count, int *__pyx_v_num_projections) {
  __pyx_t_11glove_inner_REAL_t __pyx_v_diff;
  __pyx_t_11glove_inner_REAL_t __pyx_v_fdiff;
  __pyx_t_11glove_inner_REAL_t __pyx_v_coef;
  __pyx_t_11glove_inner_REAL_t __pyx_v_loss;
  __pyx_t_11glove_inner_REAL_t __pyx_v_adaptive_lr;
  __pyx_t_11glove_inner_REAL_t __pyx_v_old_mean_bias;
  __pyx_t_11glove_inner_REAL_t __pyx_v_old_var_bias;
  float __pyx_v_similarity;
  float __pyx_v_occ_count;
  float __pyx_v_ground_truth;
  __pyx_t_11glove_inner_REAL_t *__pyx_v_grad0;
  __pyx_t_11glove_inner_REAL_t *__pyx_v_grad1;
  __pyx_t_11glove_inner_REAL_t *__pyx_v_syn0_copy;
  __pyx_t_11glove_inner_REAL_t *__pyx_v_syn1_copy;
  __pyx_t_11glove_inner_REAL_t *__pyx_v_grad_dS_dweights;
  int __pyx_v_w1_index;
  int __pyx_v_w2_index;
  int __pyx_v_i;
  int __pyx_v_pair_count;
  int __pyx_v_row1;
  int __pyx_v_row2;
  int __pyx_v_threadid;
  FILE *__pyx_v_fp;
  size_t __pyx_v_read_size;
  CYTHON_UNUSED int __pyx_v_small_emb_size;
  CYTHON_UNUSED __pyx_t_11glove_inner_REAL_t __pyx_v_beta2;
  CYTHON_UNUSED __pyx_t_11glove_inner_REAL_t __pyx_v_acc_beta2;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;
  __pyx_t_11glove_inner_REAL_t __pyx_t_7;
  __pyx_t_11glove_inner_REAL_t __pyx_t_8;
  __Pyx_RefNannySetupContext("fast_glove", 0);

  /* "glove_inner.pyx":580
 *         int *num_projections):
 * 
 *     cdef REAL_t diff, fdiff, coef, loss = 0.0, adaptive_lr, old_mean_bias, old_var_bias             # <<<<<<<<<<<<<<
 *     cdef float similarity, occ_count, ground_truth
 *     cdef REAL_t *grad0, *grad1, *syn0_copy, *syn1_copy, *grad_dS_dweights
 */
  __pyx_v_loss = 0.0;

  /* "glove_inner.pyx":583
 *     cdef float similarity, occ_count, ground_truth
 *     cdef REAL_t *grad0, *grad1, *syn0_copy, *syn1_copy, *grad_dS_dweights
 *     cdef int w1_index, w2_index, i, j, pair_count = 0             # <<<<<<<<<<<<<<
 *     cdef int row1, row2, threadid
 *     cdef FILE *fp
 */
  __pyx_v_pair_count = 0;

  /* "glove_inner.pyx":588
 *     cdef size_t read_size
 *     cdef int small_emb_size
 *     cdef REAL_t beta2 = 0.999, acc_beta2 = 1.0             # <<<<<<<<<<<<<<
 * 
 *     if num_embs > 0:
 */
  __pyx_v_beta2 = 0.999;
  __pyx_v_acc_beta2 = 1.0;

  /* "glove_inner.pyx":590
 *     cdef REAL_t beta2 = 0.999, acc_beta2 = 1.0
 * 
 *     if num_embs > 0:             # <<<<<<<<<<<<<<
 *         small_emb_size = size / num_embs
 * 
 */
  __pyx_t_1 = ((__pyx_v_num_embs > 0) != 0);
  if (__pyx_t_1) {

    /* "glove_inner.pyx":591
 * 
 *     if num_embs > 0:
 *         small_emb_size = size / num_embs             # <<<<<<<<<<<<<<
 * 
 *     with nogil, parallel(num_threads=num_workers):
 */
    __pyx_v_small_emb_size = (__pyx_v_size / __pyx_v_num_embs);

    /* "glove_inner.pyx":590
 *     cdef REAL_t beta2 = 0.999, acc_beta2 = 1.0
 * 
 *     if num_embs > 0:             # <<<<<<<<<<<<<<
 *         small_emb_size = size / num_embs
 * 
 */
  }

  /* "glove_inner.pyx":593
 *         small_emb_size = size / num_embs
 * 
 *     with nogil, parallel(num_threads=num_workers):             # <<<<<<<<<<<<<<
 * 
 *         # Thread-local variables.
 */
  {
      #ifdef WITH_THREAD
      PyThreadState *_save;
      Py_UNBLOCK_THREADS
      __Pyx_FastGIL_Remember();
      #endif
      /*try:*/ {
        {
            #if ((defined(__APPLE__) || defined(__OSX__)) && (defined(__GNUC__) && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))))
                #undef likely
                #undef unlikely
                #define likely(x)   (x)
                #define unlikely(x) (x)
            #endif
            #ifdef _OPENMP
            #pragma omp parallel private(__pyx_v_fp, __pyx_v_grad0, __pyx_v_grad1, __pyx_v_grad_dS_dweights, __pyx_v_occ_count, __pyx_v_similarity, __pyx_v_syn0_copy, __pyx_v_syn1_copy, __pyx_v_threadid, __pyx_v_w1_index, __pyx_v_w2_index) reduction(+:__pyx_v_loss) reduction(+:__pyx_v_pair_count) private(__pyx_t_1, __pyx_t_2, __pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7, __pyx_t_8) num_threads(__pyx_v_num_workers)
            #endif /* _OPENMP */
            {
                /* Initialize private variables to invalid values */
                __pyx_v_fp = ((FILE *)1);
                __pyx_v_grad0 = ((__pyx_t_11glove_inner_REAL_t *)1);
                __pyx_v_grad1 = ((__pyx_t_11glove_inner_REAL_t *)1);
                __pyx_v_grad_dS_dweights = ((__pyx_t_11glove_inner_REAL_t *)1);
                __pyx_v_occ_count = ((float)__PYX_NAN());
                __pyx_v_similarity = ((float)__PYX_NAN());
                __pyx_v_syn0_copy = ((__pyx_t_11glove_inner_REAL_t *)1);
                __pyx_v_syn1_copy = ((__pyx_t_11glove_inner_REAL_t *)1);
                __pyx_v_threadid = ((int)0xbad0bad0);
                __pyx_v_w1_index = ((int)0xbad0bad0);
                __pyx_v_w2_index = ((int)0xbad0bad0);

                /* "glove_inner.pyx":596
 * 
 *         # Thread-local variables.
 *         fp = fopen(coocc_file, "r")             # <<<<<<<<<<<<<<
 *         grad0 = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 *         grad1 = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 */
                __pyx_v_fp = fopen(__pyx_v_coocc_file, ((char const *)"r"));

                /* "glove_inner.pyx":597
 *         # Thread-local variables.
 *         fp = fopen(coocc_file, "r")
 *         grad0 = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)             # <<<<<<<<<<<<<<
 *         grad1 = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 *         syn0_copy = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 */
                __pyx_v_grad0 = ((__pyx_t_11glove_inner_REAL_t *)malloc(((sizeof(__pyx_t_11glove_inner_REAL_t)) * __pyx_v_size)));

                /* "glove_inner.pyx":598
 *         fp = fopen(coocc_file, "r")
 *         grad0 = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 *         grad1 = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)             # <<<<<<<<<<<<<<
 *         syn0_copy = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 *         syn1_copy = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 */
                __pyx_v_grad1 = ((__pyx_t_11glove_inner_REAL_t *)malloc(((sizeof(__pyx_t_11glove_inner_REAL_t)) * __pyx_v_size)));

                /* "glove_inner.pyx":599
 *         grad0 = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 *         grad1 = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 *         syn0_copy = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)             # <<<<<<<<<<<<<<
 *         syn1_copy = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 *         grad_dS_dweights = <REAL_t *> malloc(cython.sizeof(REAL_t) * nn.num_nodes * 3)
 */
                __pyx_v_syn0_copy = ((__pyx_t_11glove_inner_REAL_t *)malloc(((sizeof(__pyx_t_11glove_inner_REAL_t)) * __pyx_v_size)));

                /* "glove_inner.pyx":600
 *         grad1 = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 *         syn0_copy = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 *         syn1_copy = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)             # <<<<<<<<<<<<<<
 *         grad_dS_dweights = <REAL_t *> malloc(cython.sizeof(REAL_t) * nn.num_nodes * 3)
 *         similarity = 0.0
 */
                __pyx_v_syn1_copy = ((__pyx_t_11glove_inner_REAL_t *)malloc(((sizeof(__pyx_t_11glove_inner_REAL_t)) * __pyx_v_size)));

                /* "glove_inner.pyx":601
 *         syn0_copy = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 *         syn1_copy = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 *         grad_dS_dweights = <REAL_t *> malloc(cython.sizeof(REAL_t) * nn.num_nodes * 3)             # <<<<<<<<<<<<<<
 *         similarity = 0.0
 *         w1_index = 0
 */
                __pyx_v_grad_dS_dweights = ((__pyx_t_11glove_inner_REAL_t *)malloc((((sizeof(__pyx_t_11glove_inner_REAL_t)) * __pyx_v_nn.num_nodes) * 3)));

                /* "glove_inner.pyx":602
 *         syn1_copy = <REAL_t *> malloc(cython.sizeof(REAL_t) * size)
 *         grad_dS_dweights = <REAL_t *> malloc(cython.sizeof(REAL_t) * nn.num_nodes * 3)
 *         similarity = 0.0             # <<<<<<<<<<<<<<
 *         w1_index = 0
 *         w2_index = 0
 */
                __pyx_v_similarity = 0.0;

                /* "glove_inner.pyx":603
 *         grad_dS_dweights = <REAL_t *> malloc(cython.sizeof(REAL_t) * nn.num_nodes * 3)
 *         similarity = 0.0
 *         w1_index = 0             # <<<<<<<<<<<<<<
 *         w2_index = 0
 *         occ_count = 0.0
 */
                __pyx_v_w1_index = 0;

                /* "glove_inner.pyx":604
 *         similarity = 0.0
 *         w1_index = 0
 *         w2_index = 0             # <<<<<<<<<<<<<<
 *         occ_count = 0.0
 *         threadid = cython.parallel.threadid()
 */
                __pyx_v_w2_index = 0;

                /* "glove_inner.pyx":605
 *         w1_index = 0
 *         w2_index = 0
 *         occ_count = 0.0             # <<<<<<<<<<<<<<
 *         threadid = cython.parallel.threadid()
 * 
 */
                __pyx_v_occ_count = 0.0;

                /* "glove_inner.pyx":606
 *         w2_index = 0
 *         occ_count = 0.0
 *         threadid = cython.parallel.threadid()             # <<<<<<<<<<<<<<
 * 
 *         for i in prange(num_pairs, schedule="static", chunksize=chunksize):
 */
                #ifdef _OPENMP
                __pyx_t_2 = omp_get_thread_num();
                #else
                __pyx_t_2 = 0;
                #endif
                __pyx_v_threadid = __pyx_t_2;

                /* "glove_inner.pyx":608
 *         threadid = cython.parallel.threadid()
 * 
 *         for i in prange(num_pairs, schedule="static", chunksize=chunksize):             # <<<<<<<<<<<<<<
 *             read_size = read_triple(fp, use_glove_format, threadid, i, &w1_index, &w2_index, &occ_count)
 * 
 */
                __pyx_t_2 = __pyx_v_num_pairs;
                if (1 == 0) abort();
                {
                    __pyx_t_11glove_inner_REAL_t __pyx_parallel_temp0 = ((__pyx_t_11glove_inner_REAL_t)__PYX_NAN());
                    __pyx_t_11glove_inner_REAL_t __pyx_parallel_temp1 = ((__pyx_t_11glove_inner_REAL_t)__PYX_NAN());
                    __pyx_t_11glove_inner_REAL_t __pyx_parallel_temp2 = ((__pyx_t_11glove_inner_REAL_t)__PYX_NAN());
                    __pyx_t_11glove_inner_REAL_t __pyx_parallel_temp3 = ((__pyx_t_11glove_inner_REAL_t)__PYX_NAN());
                    float __pyx_parallel_temp4 = ((float)__PYX_NAN());
                    int __pyx_parallel_temp5 = ((int)0xbad0bad0);
                    __pyx_t_11glove_inner_REAL_t __pyx_parallel_temp6 = ((__pyx_t_11glove_inner_REAL_t)__PYX_NAN());
                    __pyx_t_11glove_inner_REAL_t __pyx_parallel_temp7 = ((__pyx_t_11glove_inner_REAL_t)__PYX_NAN());
                    __pyx_t_11glove_inner_REAL_t __pyx_parallel_temp8 = ((__pyx_t_11glove_inner_REAL_t)__PYX_NAN());
                    int __pyx_parallel_temp9 = ((int)0xbad0bad0);
                    size_t __pyx_parallel_temp10 = ((size_t)0xbad0bad0);
                    int __pyx_parallel_temp11 = ((int)0xbad0bad0);
                    int __pyx_parallel_temp12 = ((int)0xbad0bad0);
                    int __pyx_parallel_why;
                    __pyx_parallel_why = 0;
                    __pyx_t_5 = __pyx_v_chunksize;
                    __pyx_t_4 = (__pyx_t_2 - 0 + 1 - 1/abs(1)) / 1;
                    if (__pyx_t_4 > 0)
                    {
                        #ifdef _OPENMP
                        #pragma omp for lastprivate(__pyx_v_adaptive_lr) lastprivate(__pyx_v_coef) lastprivate(__pyx_v_diff) lastprivate(__pyx_v_fdiff) lastprivate(__pyx_v_ground_truth) firstprivate(__pyx_v_i) lastprivate(__pyx_v_i) lastprivate(__pyx_v_old_mean_bias) lastprivate(__pyx_v_old_var_bias) lastprivate(__pyx_v_read_size) lastprivate(__pyx_v_row1) lastprivate(__pyx_v_row2) schedule(static, __pyx_t_5)
                        #endif /* _OPENMP */
                        for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_4; __pyx_t_3++){
                            if (__pyx_parallel_why < 2)
                            {
                                __pyx_v_i = (int)(0 + 1 * __pyx_t_3);
                                /* Initialize private variables to invalid values */
                                __pyx_v_adaptive_lr = ((__pyx_t_11glove_inner_REAL_t)__PYX_NAN());
                                __pyx_v_coef = ((__pyx_t_11glove_inner_REAL_t)__PYX_NAN());
                                __pyx_v_diff = ((__pyx_t_11glove_inner_REAL_t)__PYX_NAN());
                                __pyx_v_fdiff = ((__pyx_t_11glove_inner_REAL_t)__PYX_NAN());
                                __pyx_v_ground_truth = ((float)__PYX_NAN());
                                __pyx_v_old_mean_bias = ((__pyx_t_11glove_inner_REAL_t)__PYX_NAN());
                                __pyx_v_old_var_bias = ((__pyx_t_11glove_inner_REAL_t)__PYX_NAN());
                                __pyx_v_read_size = ((size_t)0xbad0bad0);
                                __pyx_v_row1 = ((int)0xbad0bad0);
                                __pyx_v_row2 = ((int)0xbad0bad0);

                                /* "glove_inner.pyx":609
 * 
 *         for i in prange(num_pairs, schedule="static", chunksize=chunksize):
 *             read_size = read_triple(fp, use_glove_format, threadid, i, &w1_index, &w2_index, &occ_count)             # <<<<<<<<<<<<<<
 * 
 *             if w1_index >= max_word_index or w2_index >= max_word_index:
 */
                                __pyx_v_read_size = __pyx_f_11glove_inner_read_triple(__pyx_v_fp, __pyx_v_use_glove_format, __pyx_v_threadid, __pyx_v_i, (&__pyx_v_w1_index), (&__pyx_v_w2_index), (&__pyx_v_occ_count));

                                /* "glove_inner.pyx":611
 *             read_size = read_triple(fp, use_glove_format, threadid, i, &w1_index, &w2_index, &occ_count)
 * 
 *             if w1_index >= max_word_index or w2_index >= max_word_index:             # <<<<<<<<<<<<<<
 *                 continue
 * 
 */
                                __pyx_t_6 = ((__pyx_v_w1_index >= __pyx_v_max_word_index) != 0);
                                if (!__pyx_t_6) {
                                } else {
                                  __pyx_t_1 = __pyx_t_6;
                                  goto __pyx_L16_bool_binop_done;
                                }
                                __pyx_t_6 = ((__pyx_v_w2_index >= __pyx_v_max_word_index) != 0);
                                __pyx_t_1 = __pyx_t_6;
                                __pyx_L16_bool_binop_done:;
                                if (__pyx_t_1) {

                                  /* "glove_inner.pyx":612
 * 
 *             if w1_index >= max_word_index or w2_index >= max_word_index:
 *                 continue             # <<<<<<<<<<<<<<
 * 
 *             if read_size <= 0:
 */
                                  goto __pyx_L11_continue;

                                  /* "glove_inner.pyx":611
 *             read_size = read_triple(fp, use_glove_format, threadid, i, &w1_index, &w2_index, &occ_count)
 * 
 *             if w1_index >= max_word_index or w2_index >= max_word_index:             # <<<<<<<<<<<<<<
 *                 continue
 * 
 */
                                }

                                /* "glove_inner.pyx":614
 *                 continue
 * 
 *             if read_size <= 0:             # <<<<<<<<<<<<<<
 *                 printf("Exiting because read operation returned %ld bytes\n", read_size)
 *                 fflush(stdout)
 */
                                __pyx_t_1 = ((__pyx_v_read_size <= 0) != 0);
                                if (__pyx_t_1) {

                                  /* "glove_inner.pyx":615
 * 
 *             if read_size <= 0:
 *                 printf("Exiting because read operation returned %ld bytes\n", read_size)             # <<<<<<<<<<<<<<
 *                 fflush(stdout)
 *                 exit(-1)
 */
                                  (void)(printf(((char const *)"Exiting because read operation returned %ld bytes\n"), __pyx_v_read_size));

                                  /* "glove_inner.pyx":616
 *             if read_size <= 0:
 *                 printf("Exiting because read operation returned %ld bytes\n", read_size)
 *                 fflush(stdout)             # <<<<<<<<<<<<<<
 *                 exit(-1)
 * 
 */
                                  (void)(fflush(stdout));

                                  /* "glove_inner.pyx":617
 *                 printf("Exiting because read operation returned %ld bytes\n", read_size)
 *                 fflush(stdout)
 *                 exit(-1)             # <<<<<<<<<<<<<<
 * 
 *             row1 = w1_index * size
 */
                                  exit(-1);

                                  /* "glove_inner.pyx":614
 *                 continue
 * 
 *             if read_size <= 0:             # <<<<<<<<<<<<<<
 *                 printf("Exiting because read operation returned %ld bytes\n", read_size)
 *                 fflush(stdout)
 */
                                }

                                /* "glove_inner.pyx":619
 *                 exit(-1)
 * 
 *             row1 = w1_index * size             # <<<<<<<<<<<<<<
 *             row2 = w2_index * size
 * 
 */
                                __pyx_v_row1 = (__pyx_v_w1_index * __pyx_v_size);

                                /* "glove_inner.pyx":620
 * 
 *             row1 = w1_index * size
 *             row2 = w2_index * size             # <<<<<<<<<<<<<<
 * 
 *             scopy(&size, &syn0[row1], &ONE, syn0_copy, &ONE)
 */
                                __pyx_v_row2 = (__pyx_v_w2_index * __pyx_v_size);

                                /* "glove_inner.pyx":622
 *             row2 = w2_index * size
 * 
 *             scopy(&size, &syn0[row1], &ONE, syn0_copy, &ONE)             # <<<<<<<<<<<<<<
 *             scopy(&size, &syn1[row2], &ONE, syn1_copy, &ONE)
 * 
 */
                                __pyx_v_11glove_inner_scopy((&__pyx_v_size), (&(__pyx_v_syn0[__pyx_v_row1])), (&__pyx_v_11glove_inner_ONE), __pyx_v_syn0_copy, (&__pyx_v_11glove_inner_ONE));

                                /* "glove_inner.pyx":623
 * 
 *             scopy(&size, &syn0[row1], &ONE, syn0_copy, &ONE)
 *             scopy(&size, &syn1[row2], &ONE, syn1_copy, &ONE)             # <<<<<<<<<<<<<<
 * 
 *             # Compute similarity and gradients of similarity wrt to the two vectors (i.e. syn0[w1], syn1[w2]), dS_dv and dS_dw.
 */
                                __pyx_v_11glove_inner_scopy((&__pyx_v_size), (&(__pyx_v_syn1[__pyx_v_row2])), (&__pyx_v_11glove_inner_ONE), __pyx_v_syn1_copy, (&__pyx_v_11glove_inner_ONE));

                                /* "glove_inner.pyx":626
 * 
 *             # Compute similarity and gradients of similarity wrt to the two vectors (i.e. syn0[w1], syn1[w2]), dS_dv and dS_dw.
 *             get_similarity_and_gradients(emb_type, size, num_embs, syn0_copy, syn1_copy, &similarity, grad0, grad1, dist_func,             # <<<<<<<<<<<<<<
 *                                          num_projections, cosh_dist_pow, nn, grad_dS_dweights)
 * 
 */
                                __pyx_f_11glove_inner_get_similarity_and_gradients(__pyx_v_emb_type, __pyx_v_size, __pyx_v_num_embs, __pyx_v_syn0_copy, __pyx_v_syn1_copy, (&__pyx_v_similarity), __pyx_v_grad0, __pyx_v_grad1, __pyx_v_dist_func, __pyx_v_num_projections, __pyx_v_cosh_dist_pow, __pyx_v_nn, __pyx_v_grad_dS_dweights);

                                /* "glove_inner.pyx":629
 *                                          num_projections, cosh_dist_pow, nn, grad_dS_dweights)
 * 
 *             if use_log_probs == 1:             # <<<<<<<<<<<<<<
 *                 ground_truth = coocc_func(occ_count / (index2freq[w1_index] * index2freq[w2_index]) + 0.01)
 *             else:
 */
                                __pyx_t_1 = ((__pyx_v_use_log_probs == 1) != 0);
                                if (__pyx_t_1) {

                                  /* "glove_inner.pyx":630
 * 
 *             if use_log_probs == 1:
 *                 ground_truth = coocc_func(occ_count / (index2freq[w1_index] * index2freq[w2_index]) + 0.01)             # <<<<<<<<<<<<<<
 *             else:
 *                 ground_truth = coocc_func(occ_count)
 */
                                  __pyx_v_ground_truth = __pyx_v_coocc_func(((__pyx_v_occ_count / ((__pyx_v_index2freq[__pyx_v_w1_index]) * (__pyx_v_index2freq[__pyx_v_w2_index]))) + 0.01));

                                  /* "glove_inner.pyx":629
 *                                          num_projections, cosh_dist_pow, nn, grad_dS_dweights)
 * 
 *             if use_log_probs == 1:             # <<<<<<<<<<<<<<
 *                 ground_truth = coocc_func(occ_count / (index2freq[w1_index] * index2freq[w2_index]) + 0.01)
 *             else:
 */
                                  goto __pyx_L19;
                                }

                                /* "glove_inner.pyx":632
 *                 ground_truth = coocc_func(occ_count / (index2freq[w1_index] * index2freq[w2_index]) + 0.01)
 *             else:
 *                 ground_truth = coocc_func(occ_count)             # <<<<<<<<<<<<<<
 * 
 *             # Compute difference between log co-occ count and model.
 */
                                /*else*/ {
                                  __pyx_v_ground_truth = __pyx_v_coocc_func(__pyx_v_occ_count);
                                }
                                __pyx_L19:;

                                /* "glove_inner.pyx":635
 * 
 *             # Compute difference between log co-occ count and model.
 *             if with_bias == 1:             # <<<<<<<<<<<<<<
 *                 diff = scaling_factor[0] * similarity + b0[w1_index] + b1[w2_index] - ground_truth
 *             else:
 */
                                __pyx_t_1 = ((__pyx_v_with_bias == 1) != 0);
                                if (__pyx_t_1) {

                                  /* "glove_inner.pyx":636
 *             # Compute difference between log co-occ count and model.
 *             if with_bias == 1:
 *                 diff = scaling_factor[0] * similarity + b0[w1_index] + b1[w2_index] - ground_truth             # <<<<<<<<<<<<<<
 *             else:
 *                 # Add the global mean bias and divide by the global variance bias
 */
                                  __pyx_v_diff = (((((__pyx_v_scaling_factor[0]) * __pyx_v_similarity) + (__pyx_v_b0[__pyx_v_w1_index])) + (__pyx_v_b1[__pyx_v_w2_index])) - __pyx_v_ground_truth);

                                  /* "glove_inner.pyx":635
 * 
 *             # Compute difference between log co-occ count and model.
 *             if with_bias == 1:             # <<<<<<<<<<<<<<
 *                 diff = scaling_factor[0] * similarity + b0[w1_index] + b1[w2_index] - ground_truth
 *             else:
 */
                                  goto __pyx_L20;
                                }

                                /* "glove_inner.pyx":639
 *             else:
 *                 # Add the global mean bias and divide by the global variance bias
 *                 diff = scaling_factor[0] * (similarity - b0[0]) / b1[0] - ground_truth             # <<<<<<<<<<<<<<
 *                 # TODO: gradient needs to be changed so that dS_dv accounts for 1/b1[0]
 *             fdiff = weight_func(occ_count) * diff
 */
                                /*else*/ {
                                  __pyx_v_diff = ((((__pyx_v_scaling_factor[0]) * (__pyx_v_similarity - (__pyx_v_b0[0]))) / (__pyx_v_b1[0])) - __pyx_v_ground_truth);
                                }
                                __pyx_L20:;

                                /* "glove_inner.pyx":641
 *                 diff = scaling_factor[0] * (similarity - b0[0]) / b1[0] - ground_truth
 *                 # TODO: gradient needs to be changed so that dS_dv accounts for 1/b1[0]
 *             fdiff = weight_func(occ_count) * diff             # <<<<<<<<<<<<<<
 * 
 *             if is_number(diff) == 0 or is_number(fdiff) == 0:  # or diff > 10000000:
 */
                                __pyx_v_fdiff = (__pyx_f_11glove_inner_weight_func(__pyx_v_occ_count) * __pyx_v_diff);

                                /* "glove_inner.pyx":643
 *             fdiff = weight_func(occ_count) * diff
 * 
 *             if is_number(diff) == 0 or is_number(fdiff) == 0:  # or diff > 10000000:             # <<<<<<<<<<<<<<
 *                 printf("Encountered invalid number. w1=%d w2=%d occ_count=%f occ_prob=%f; sim=%f ground_truth=%f; max_syn1=%f min_syn1=%f; syn0_norm=%f syn1_norm%f; b0=%f b1=%f; diff=%f\n",
 *                        w1_index, w2_index, occ_count, occ_count / (index2freq[w1_index] * index2freq[w2_index]),
 */
                                __pyx_t_6 = ((__pyx_f_11glove_inner_is_number(__pyx_v_diff) == 0) != 0);
                                if (!__pyx_t_6) {
                                } else {
                                  __pyx_t_1 = __pyx_t_6;
                                  goto __pyx_L22_bool_binop_done;
                                }
                                __pyx_t_6 = ((__pyx_f_11glove_inner_is_number(__pyx_v_fdiff) == 0) != 0);
                                __pyx_t_1 = __pyx_t_6;
                                __pyx_L22_bool_binop_done:;
                                if (__pyx_t_1) {

                                  /* "glove_inner.pyx":648
 *                        similarity, ground_truth, vec_max(size, syn1_copy), vec_min(size, syn1_copy),
 *                        snrm2(&size, syn0_copy, &ONE), snrm2(&size, syn1_copy, &ONE),
 *                        (b0[w1_index] if with_bias == 1 else b0[0]), (b1[w2_index] if with_bias == 1 else b1[0]), diff)             # <<<<<<<<<<<<<<
 *                 return
 * 
 */
                                  if (((__pyx_v_with_bias == 1) != 0)) {
                                    __pyx_t_7 = (__pyx_v_b0[__pyx_v_w1_index]);
                                  } else {
                                    __pyx_t_7 = (__pyx_v_b0[0]);
                                  }
                                  if (((__pyx_v_with_bias == 1) != 0)) {
                                    __pyx_t_8 = (__pyx_v_b1[__pyx_v_w2_index]);
                                  } else {
                                    __pyx_t_8 = (__pyx_v_b1[0]);
                                  }

                                  /* "glove_inner.pyx":644
 * 
 *             if is_number(diff) == 0 or is_number(fdiff) == 0:  # or diff > 10000000:
 *                 printf("Encountered invalid number. w1=%d w2=%d occ_count=%f occ_prob=%f; sim=%f ground_truth=%f; max_syn1=%f min_syn1=%f; syn0_norm=%f syn1_norm%f; b0=%f b1=%f; diff=%f\n",             # <<<<<<<<<<<<<<
 *                        w1_index, w2_index, occ_count, occ_count / (index2freq[w1_index] * index2freq[w2_index]),
 *                        similarity, ground_truth, vec_max(size, syn1_copy), vec_min(size, syn1_copy),
 */
                                  (void)(printf(((char const *)"Encountered invalid number. w1=%d w2=%d occ_count=%f occ_prob=%f; sim=%f ground_truth=%f; max_syn1=%f min_syn1=%f; syn0_norm=%f syn1_norm%f; b0=%f b1=%f; diff=%f\n"), __pyx_v_w1_index, __pyx_v_w2_index, __pyx_v_occ_count, (__pyx_v_occ_count / ((__pyx_v_index2freq[__pyx_v_w1_index]) * (__pyx_v_index2freq[__pyx_v_w2_index]))), __pyx_v_similarity, __pyx_v_ground_truth, __pyx_f_11glove_inner_vec_max(__pyx_v_size, __pyx_v_syn1_copy), __pyx_f_11glove_inner_vec_min(__pyx_v_size, __pyx_v_syn1_copy), __pyx_v_11glove_inner_snrm2((&__pyx_v_size), __pyx_v_syn0_copy, (&__pyx_v_11glove_inner_ONE)), __pyx_v_11glove_inner_snrm2((&__pyx_v_size), __pyx_v_syn1_copy, (&__pyx_v_11glove_inner_ONE)), __pyx_t_7, __pyx_t_8, __pyx_v_diff));

                                  /* "glove_inner.pyx":649
 *                        snrm2(&size, syn0_copy, &ONE), snrm2(&size, syn1_copy, &ONE),
 *                        (b0[w1_index] if with_bias == 1 else b0[0]), (b1[w2_index] if with_bias == 1 else b1[0]), diff)
 *                 return             # <<<<<<<<<<<<<<
 * 
 *             if _compute_loss:
 */
                                  goto __pyx_L14_return;

                                  /* "glove_inner.pyx":643
 *             fdiff = weight_func(occ_count) * diff
 * 
 *             if is_number(diff) == 0 or is_number(fdiff) == 0:  # or diff > 10000000:             # <<<<<<<<<<<<<<
 *                 printf("Encountered invalid number. w1=%d w2=%d occ_count=%f occ_prob=%f; sim=%f ground_truth=%f; max_syn1=%f min_syn1=%f; syn0_norm=%f syn1_norm%f; b0=%f b1=%f; diff=%f\n",
 *                        w1_index, w2_index, occ_count, occ_count / (index2freq[w1_index] * index2freq[w2_index]),
 */
                                }

                                /* "glove_inner.pyx":651
 *                 return
 * 
 *             if _compute_loss:             # <<<<<<<<<<<<<<
 *                 # Accumulate loss.
 *                 # Reduction variable.
 */
                                __pyx_t_1 = (__pyx_v__compute_loss != 0);
                                if (__pyx_t_1) {

                                  /* "glove_inner.pyx":654
 *                 # Accumulate loss.
 *                 # Reduction variable.
 *                 loss += 0.5 * fdiff * diff             # <<<<<<<<<<<<<<
 * 
 *             # Compute gradients. Multiply dl_dS (i.e. fdiff) with dS_dv and dS_dw respectively.
 */
                                  __pyx_v_loss = (__pyx_v_loss + ((0.5 * __pyx_v_fdiff) * __pyx_v_diff));

                                  /* "glove_inner.pyx":651
 *                 return
 * 
 *             if _compute_loss:             # <<<<<<<<<<<<<<
 *                 # Accumulate loss.
 *                 # Reduction variable.
 */
                                }

                                /* "glove_inner.pyx":657
 * 
 *             # Compute gradients. Multiply dl_dS (i.e. fdiff) with dS_dv and dS_dw respectively.
 *             coef = fdiff * scaling_factor[0]             # <<<<<<<<<<<<<<
 *             sscal(&size, &coef, grad0, &ONE)
 *             sscal(&size, &coef, grad1, &ONE)
 */
                                __pyx_v_coef = (__pyx_v_fdiff * (__pyx_v_scaling_factor[0]));

                                /* "glove_inner.pyx":658
 *             # Compute gradients. Multiply dl_dS (i.e. fdiff) with dS_dv and dS_dw respectively.
 *             coef = fdiff * scaling_factor[0]
 *             sscal(&size, &coef, grad0, &ONE)             # <<<<<<<<<<<<<<
 *             sscal(&size, &coef, grad1, &ONE)
 * 
 */
                                __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_grad0, (&__pyx_v_11glove_inner_ONE));

                                /* "glove_inner.pyx":659
 *             coef = fdiff * scaling_factor[0]
 *             sscal(&size, &coef, grad0, &ONE)
 *             sscal(&size, &coef, grad1, &ONE)             # <<<<<<<<<<<<<<
 * 
 *             # Update embeddings.
 */
                                __pyx_v_11glove_inner_sscal((&__pyx_v_size), (&__pyx_v_coef), __pyx_v_grad1, (&__pyx_v_11glove_inner_ONE));

                                /* "glove_inner.pyx":662
 * 
 *             # Update embeddings.
 *             if optimizer == OptType.FullRSGD:             # <<<<<<<<<<<<<<
 *                 update_embedding_full_rsgd(size, syn0_copy, lr, grad0)
 *                 update_embedding_full_rsgd(size, syn1_copy, lr, grad1)
 */
                                switch (__pyx_v_optimizer) {
                                  case __pyx_e_11glove_inner_FullRSGD:

                                  /* "glove_inner.pyx":663
 *             # Update embeddings.
 *             if optimizer == OptType.FullRSGD:
 *                 update_embedding_full_rsgd(size, syn0_copy, lr, grad0)             # <<<<<<<<<<<<<<
 *                 update_embedding_full_rsgd(size, syn1_copy, lr, grad1)
 *             elif optimizer == OptType.WeightedFullRSGD:
 */
                                  __pyx_f_11glove_inner_update_embedding_full_rsgd(__pyx_v_size, __pyx_v_syn0_copy, __pyx_v_lr, __pyx_v_grad0);

                                  /* "glove_inner.pyx":664
 *             if optimizer == OptType.FullRSGD:
 *                 update_embedding_full_rsgd(size, syn0_copy, lr, grad0)
 *                 update_embedding_full_rsgd(size, syn1_copy, lr, grad1)             # <<<<<<<<<<<<<<
 *             elif optimizer == OptType.WeightedFullRSGD:
 *                 adaptive_lr = lr * fast_inv_sqrt(index2freq[w1_index] / 100.0)
 */
                                  __pyx_f_11glove_inner_update_embedding_full_rsgd(__pyx_v_size, __pyx_v_syn1_copy, __pyx_v_lr, __pyx_v_grad1);

                                  /* "glove_inner.pyx":662
 * 
 *             # Update embeddings.
 *             if optimizer == OptType.FullRSGD:             # <<<<<<<<<<<<<<
 *                 update_embedding_full_rsgd(size, syn0_copy, lr, grad0)
 *                 update_embedding_full_rsgd(size, syn1_copy, lr, grad1)
 */
                                  break;

                                  /* "glove_inner.pyx":665
 *                 update_embedding_full_rsgd(size, syn0_copy, lr, grad0)
 *                 update_embedding_full_rsgd(size, syn1_copy, lr, grad1)
 *             elif optimizer == OptType.WeightedFullRSGD:             # <<<<<<<<<<<<<<
 *                 adaptive_lr = lr * fast_inv_sqrt(index2freq[w1_index] / 100.0)
 *                 update_embedding_full_rsgd(size, syn0_copy, adaptive_lr, grad0)
 */
                                  case __pyx_e_11glove_inner_WeightedFullRSGD:

                                  /* "glove_inner.pyx":666
 *                 update_embedding_full_rsgd(size, syn1_copy, lr, grad1)
 *             elif optimizer == OptType.WeightedFullRSGD:
 *                 adaptive_lr = lr * fast_inv_sqrt(index2freq[w1_index] / 100.0)             # <<<<<<<<<<<<<<
 *                 update_embedding_full_rsgd(size, syn0_copy, adaptive_lr, grad0)
 *                 adaptive_lr = lr * fast_inv_sqrt(index2freq[w2_index] / 100.0)
 */
                                  __pyx_v_adaptive_lr = (__pyx_v_lr * fast_inv_sqrt(((__pyx_v_index2freq[__pyx_v_w1_index]) / 100.0)));

                                  /* "glove_inner.pyx":667
 *             elif optimizer == OptType.WeightedFullRSGD:
 *                 adaptive_lr = lr * fast_inv_sqrt(index2freq[w1_index] / 100.0)
 *                 update_embedding_full_rsgd(size, syn0_copy, adaptive_lr, grad0)             # <<<<<<<<<<<<<<
 *                 adaptive_lr = lr * fast_inv_sqrt(index2freq[w2_index] / 100.0)
 *                 update_embedding_full_rsgd(size, syn1_copy, adaptive_lr, grad1)
 */
                                  __pyx_f_11glove_inner_update_embedding_full_rsgd(__pyx_v_size, __pyx_v_syn0_copy, __pyx_v_adaptive_lr, __pyx_v_grad0);

                                  /* "glove_inner.pyx":668
 *                 adaptive_lr = lr * fast_inv_sqrt(index2freq[w1_index] / 100.0)
 *                 update_embedding_full_rsgd(size, syn0_copy, adaptive_lr, grad0)
 *                 adaptive_lr = lr * fast_inv_sqrt(index2freq[w2_index] / 100.0)             # <<<<<<<<<<<<<<
 *                 update_embedding_full_rsgd(size, syn1_copy, adaptive_lr, grad1)
 *             elif optimizer == OptType.RAMSGRAD:
 */
                                  __pyx_v_adaptive_lr = (__pyx_v_lr * fast_inv_sqrt(((__pyx_v_index2freq[__pyx_v_w2_index]) / 100.0)));

                                  /* "glove_inner.pyx":669
 *                 update_embedding_full_rsgd(size, syn0_copy, adaptive_lr, grad0)
 *                 adaptive_lr = lr * fast_inv_sqrt(index2freq[w2_index] / 100.0)
 *                 update_embedding_full_rsgd(size, syn1_copy, adaptive_lr, grad1)             # <<<<<<<<<<<<<<
 *             elif optimizer == OptType.RAMSGRAD:
 *                 # Riemannian AMSGrad update.
 */
                                  __pyx_f_11glove_inner_update_embedding_full_rsgd(__pyx_v_size, __pyx_v_syn1_copy, __pyx_v_adaptive_lr, __pyx_v_grad1);

                                  /* "glove_inner.pyx":665
 *                 update_embedding_full_rsgd(size, syn0_copy, lr, grad0)
 *                 update_embedding_full_rsgd(size, syn1_copy, lr, grad1)
 *             elif optimizer == OptType.WeightedFullRSGD:             # <<<<<<<<<<<<<<
 *                 adaptive_lr = lr * fast_inv_sqrt(index2freq[w1_index] / 100.0)
 *                 update_embedding_full_rsgd(size, syn0_copy, adaptive_lr, grad0)
 */
                                  break;

                                  /* "glove_inner.pyx":670
 *                 adaptive_lr = lr * fast_inv_sqrt(index2freq[w2_index] / 100.0)
 *                 update_embedding_full_rsgd(size, syn1_copy, adaptive_lr, grad1)
 *             elif optimizer == OptType.RAMSGRAD:             # <<<<<<<<<<<<<<
 *                 # Riemannian AMSGrad update.
 *                 update_embedding_ramsgrad(size, syn0_copy, lr, grad0, &gradsq_syn0[row1], &mom_syn0[row1], &betas_syn0[row1])
 */
                                  case __pyx_e_11glove_inner_RAMSGRAD:

                                  /* "glove_inner.pyx":672
 *             elif optimizer == OptType.RAMSGRAD:
 *                 # Riemannian AMSGrad update.
 *                 update_embedding_ramsgrad(size, syn0_copy, lr, grad0, &gradsq_syn0[row1], &mom_syn0[row1], &betas_syn0[row1])             # <<<<<<<<<<<<<<
 *                 update_embedding_ramsgrad(size, syn1_copy, lr, grad1, &gradsq_syn1[row2], &mom_syn1[row2], &betas_syn1[row2])
 *             elif optimizer == OptType.RADAGRAD:
 */
                                  __pyx_f_11glove_inner_update_embedding_ramsgrad(__pyx_v_size, __pyx_v_syn0_copy, __pyx_v_lr, __pyx_v_grad0, (&(__pyx_v_gradsq_syn0[__pyx_v_row1])), (&(__pyx_v_mom_syn0[__pyx_v_row1])), (&(__pyx_v_betas_syn0[__pyx_v_row1])));

                                  /* "glove_inner.pyx":673
 *                 # Riemannian AMSGrad update.
 *                 update_embedding_ramsgrad(size, syn0_copy, lr, grad0, &gradsq_syn0[row1], &mom_syn0[row1], &betas_syn0[row1])
 *                 update_embedding_ramsgrad(size, syn1_copy, lr, grad1, &gradsq_syn1[row2], &mom_syn1[row2], &betas_syn1[row2])             # <<<<<<<<<<<<<<
 *             elif optimizer == OptType.RADAGRAD:
 *                 # Riemannian AdaGrad update.
 */
                                  __pyx_f_11glove_inner_update_embedding_ramsgrad(__pyx_v_size, __pyx_v_syn1_copy, __pyx_v_lr, __pyx_v_grad1, (&(__pyx_v_gradsq_syn1[__pyx_v_row2])), (&(__pyx_v_mom_syn1[__pyx_v_row2])), (&(__pyx_v_betas_syn1[__pyx_v_row2])));

                                  /* "glove_inner.pyx":670
 *                 adaptive_lr = lr * fast_inv_sqrt(index2freq[w2_index] / 100.0)
 *                 update_embedding_full_rsgd(size, syn1_copy, adaptive_lr, grad1)
 *             elif optimizer == OptType.RAMSGRAD:             # <<<<<<<<<<<<<<
 *                 # Riemannian AMSGrad update.
 *                 update_embedding_ramsgrad(size, syn0_copy, lr, grad0, &gradsq_syn0[row1], &mom_syn0[row1], &betas_syn0[row1])
 */
                                  break;

                                  /* "glove_inner.pyx":674
 *                 update_embedding_ramsgrad(size, syn0_copy, lr, grad0, &gradsq_syn0[row1], &mom_syn0[row1], &betas_syn0[row1])
 *                 update_embedding_ramsgrad(size, syn1_copy, lr, grad1, &gradsq_syn1[row2], &mom_syn1[row2], &betas_syn1[row2])
 *             elif optimizer == OptType.RADAGRAD:             # <<<<<<<<<<<<<<
 *                 # Riemannian AdaGrad update.
 *                 update_embedding_radagrad(size, syn0_copy, lr, grad0, &gradsq_syn0[row1])
 */
                                  case __pyx_e_11glove_inner_RADAGRAD:

                                  /* "glove_inner.pyx":676
 *             elif optimizer == OptType.RADAGRAD:
 *                 # Riemannian AdaGrad update.
 *                 update_embedding_radagrad(size, syn0_copy, lr, grad0, &gradsq_syn0[row1])             # <<<<<<<<<<<<<<
 *                 update_embedding_radagrad(size, syn1_copy, lr, grad1, &gradsq_syn1[row2])
 *             elif optimizer == OptType.MixRADAGRAD:
 */
                                  __pyx_f_11glove_inner_update_embedding_radagrad(__pyx_v_size, __pyx_v_syn0_copy, __pyx_v_lr, __pyx_v_grad0, (&(__pyx_v_gradsq_syn0[__pyx_v_row1])));

                                  /* "glove_inner.pyx":677
 *                 # Riemannian AdaGrad update.
 *                 update_embedding_radagrad(size, syn0_copy, lr, grad0, &gradsq_syn0[row1])
 *                 update_embedding_radagrad(size, syn1_copy, lr, grad1, &gradsq_syn1[row2])             # <<<<<<<<<<<<<<
 *             elif optimizer == OptType.MixRADAGRAD:
 *                 # Riemannian AdaGrad update on carthesian product of small-dimensional spaces.
 */
                                  __pyx_f_11glove_inner_update_embedding_radagrad(__pyx_v_size, __pyx_v_syn1_copy, __pyx_v_lr, __pyx_v_grad1, (&(__pyx_v_gradsq_syn1[__pyx_v_row2])));

                                  /* "glove_inner.pyx":674
 *                 update_embedding_ramsgrad(size, syn0_copy, lr, grad0, &gradsq_syn0[row1], &mom_syn0[row1], &betas_syn0[row1])
 *                 update_embedding_ramsgrad(size, syn1_copy, lr, grad1, &gradsq_syn1[row2], &mom_syn1[row2], &betas_syn1[row2])
 *             elif optimizer == OptType.RADAGRAD:             # <<<<<<<<<<<<<<
 *                 # Riemannian AdaGrad update.
 *                 update_embedding_radagrad(size, syn0_copy, lr, grad0, &gradsq_syn0[row1])
 */
                                  break;

                                  /* "glove_inner.pyx":678
 *                 update_embedding_radagrad(size, syn0_copy, lr, grad0, &gradsq_syn0[row1])
 *                 update_embedding_radagrad(size, syn1_copy, lr, grad1, &gradsq_syn1[row2])
 *             elif optimizer == OptType.MixRADAGRAD:             # <<<<<<<<<<<<<<
 *                 # Riemannian AdaGrad update on carthesian product of small-dimensional spaces.
 *                 update_embedding_mix_radagrad(size, num_embs, syn0_copy, lr, grad0, &gradsq_syn0[row1])
 */
                                  case __pyx_e_11glove_inner_MixRADAGRAD:

                                  /* "glove_inner.pyx":680
 *             elif optimizer == OptType.MixRADAGRAD:
 *                 # Riemannian AdaGrad update on carthesian product of small-dimensional spaces.
 *                 update_embedding_mix_radagrad(size, num_embs, syn0_copy, lr, grad0, &gradsq_syn0[row1])             # <<<<<<<<<<<<<<
 *                 update_embedding_mix_radagrad(size, num_embs, syn1_copy, lr, grad1, &gradsq_syn1[row2])
 *             elif optimizer == OptType.ADAGRAD:
 */
                                  __pyx_f_11glove_inner_update_embedding_mix_radagrad(__pyx_v_size, __pyx_v_num_embs, __pyx_v_syn0_copy, __pyx_v_lr, __pyx_v_grad0, (&(__pyx_v_gradsq_syn0[__pyx_v_row1])));

                                  /* "glove_inner.pyx":681
 *                 # Riemannian AdaGrad update on carthesian product of small-dimensional spaces.
 *                 update_embedding_mix_radagrad(size, num_embs, syn0_copy, lr, grad0, &gradsq_syn0[row1])
 *                 update_embedding_mix_radagrad(size, num_embs, syn1_copy, lr, grad1, &gradsq_syn1[row2])             # <<<<<<<<<<<<<<
 *             elif optimizer == OptType.ADAGRAD:
 *                 # AdaGrad updates.
 */
                                  __pyx_f_11glove_inner_update_embedding_mix_radagrad(__pyx_v_size, __pyx_v_num_embs, __pyx_v_syn1_copy, __pyx_v_lr, __pyx_v_grad1, (&(__pyx_v_gradsq_syn1[__pyx_v_row2])));

                                  /* "glove_inner.pyx":678
 *                 update_embedding_radagrad(size, syn0_copy, lr, grad0, &gradsq_syn0[row1])
 *                 update_embedding_radagrad(size, syn1_copy, lr, grad1, &gradsq_syn1[row2])
 *             elif optimizer == OptType.MixRADAGRAD:             # <<<<<<<<<<<<<<
 *                 # Riemannian AdaGrad update on carthesian product of small-dimensional spaces.
 *                 update_embedding_mix_radagrad(size, num_embs, syn0_copy, lr, grad0, &gradsq_syn0[row1])
 */
                                  break;

                                  /* "glove_inner.pyx":682
 *                 update_embedding_mix_radagrad(size, num_embs, syn0_copy, lr, grad0, &gradsq_syn0[row1])
 *                 update_embedding_mix_radagrad(size, num_embs, syn1_copy, lr, grad1, &gradsq_syn1[row2])
 *             elif optimizer == OptType.ADAGRAD:             # <<<<<<<<<<<<<<
 *                 # AdaGrad updates.
 *                 update_embedding(size, syn0_copy, lr, grad0, &gradsq_syn0[row1])
 */
                                  case __pyx_e_11glove_inner_ADAGRAD:

                                  /* "glove_inner.pyx":684
 *             elif optimizer == OptType.ADAGRAD:
 *                 # AdaGrad updates.
 *                 update_embedding(size, syn0_copy, lr, grad0, &gradsq_syn0[row1])             # <<<<<<<<<<<<<<
 *                 update_embedding(size, syn1_copy, lr, grad1, &gradsq_syn1[row2])
 * 
 */
                                  __pyx_f_11glove_inner_update_embedding(__pyx_v_size, __pyx_v_syn0_copy, __pyx_v_lr, __pyx_v_grad0, (&(__pyx_v_gradsq_syn0[__pyx_v_row1])));

                                  /* "glove_inner.pyx":685
 *                 # AdaGrad updates.
 *                 update_embedding(size, syn0_copy, lr, grad0, &gradsq_syn0[row1])
 *                 update_embedding(size, syn1_copy, lr, grad1, &gradsq_syn1[row2])             # <<<<<<<<<<<<<<
 * 
 *             # Store new updated embeddings in the global storage.
 */
                                  __pyx_f_11glove_inner_update_embedding(__pyx_v_size, __pyx_v_syn1_copy, __pyx_v_lr, __pyx_v_grad1, (&(__pyx_v_gradsq_syn1[__pyx_v_row2])));

                                  /* "glove_inner.pyx":682
 *                 update_embedding_mix_radagrad(size, num_embs, syn0_copy, lr, grad0, &gradsq_syn0[row1])
 *                 update_embedding_mix_radagrad(size, num_embs, syn1_copy, lr, grad1, &gradsq_syn1[row2])
 *             elif optimizer == OptType.ADAGRAD:             # <<<<<<<<<<<<<<
 *                 # AdaGrad updates.
 *                 update_embedding(size, syn0_copy, lr, grad0, &gradsq_syn0[row1])
 */
                                  break;
                                  default: break;
                                }

                                /* "glove_inner.pyx":688
 * 
 *             # Store new updated embeddings in the global storage.
 *             scopy(&size, syn0_copy, &ONE, &syn0[row1], &ONE)             # <<<<<<<<<<<<<<
 *             scopy(&size, syn1_copy, &ONE, &syn1[row2], &ONE)
 * 
 */
                                __pyx_v_11glove_inner_scopy((&__pyx_v_size), __pyx_v_syn0_copy, (&__pyx_v_11glove_inner_ONE), (&(__pyx_v_syn0[__pyx_v_row1])), (&__pyx_v_11glove_inner_ONE));

                                /* "glove_inner.pyx":689
 *             # Store new updated embeddings in the global storage.
 *             scopy(&size, syn0_copy, &ONE, &syn0[row1], &ONE)
 *             scopy(&size, syn1_copy, &ONE, &syn1[row2], &ONE)             # <<<<<<<<<<<<<<
 * 
 *             # Update biases.
 */
                                __pyx_v_11glove_inner_scopy((&__pyx_v_size), __pyx_v_syn1_copy, (&__pyx_v_11glove_inner_ONE), (&(__pyx_v_syn1[__pyx_v_row2])), (&__pyx_v_11glove_inner_ONE));

                                /* "glove_inner.pyx":692
 * 
 *             # Update biases.
 *             if with_bias == 1:             # <<<<<<<<<<<<<<
 *                 # Always use AdaGrad to update the biases.
 *                 coef = clamp_scalar(fdiff, -GRAD_CLAMP_THRESHOLD, GRAD_CLAMP_THRESHOLD)
 */
                                __pyx_t_1 = ((__pyx_v_with_bias == 1) != 0);
                                if (__pyx_t_1) {

                                  /* "glove_inner.pyx":694
 *             if with_bias == 1:
 *                 # Always use AdaGrad to update the biases.
 *                 coef = clamp_scalar(fdiff, -GRAD_CLAMP_THRESHOLD, GRAD_CLAMP_THRESHOLD)             # <<<<<<<<<<<<<<
 *                 b0[w1_index] = b0[w1_index] - lr * fast_inv_sqrt(gradsq_b0[w1_index]) * coef
 *                 b1[w2_index] = b1[w2_index] - lr * fast_inv_sqrt(gradsq_b1[w2_index]) * coef
 */
                                  __pyx_v_coef = __pyx_f_11glove_inner_clamp_scalar(__pyx_v_fdiff, -10.0, 10.0);

                                  /* "glove_inner.pyx":695
 *                 # Always use AdaGrad to update the biases.
 *                 coef = clamp_scalar(fdiff, -GRAD_CLAMP_THRESHOLD, GRAD_CLAMP_THRESHOLD)
 *                 b0[w1_index] = b0[w1_index] - lr * fast_inv_sqrt(gradsq_b0[w1_index]) * coef             # <<<<<<<<<<<<<<
 *                 b1[w2_index] = b1[w2_index] - lr * fast_inv_sqrt(gradsq_b1[w2_index]) * coef
 *                 gradsq_b0[w1_index] = gradsq_b0[w1_index] + coef * coef * lr * lr
 */
                                  (__pyx_v_b0[__pyx_v_w1_index]) = ((__pyx_v_b0[__pyx_v_w1_index]) - ((__pyx_v_lr * fast_inv_sqrt((__pyx_v_gradsq_b0[__pyx_v_w1_index]))) * __pyx_v_coef));

                                  /* "glove_inner.pyx":696
 *                 coef = clamp_scalar(fdiff, -GRAD_CLAMP_THRESHOLD, GRAD_CLAMP_THRESHOLD)
 *                 b0[w1_index] = b0[w1_index] - lr * fast_inv_sqrt(gradsq_b0[w1_index]) * coef
 *                 b1[w2_index] = b1[w2_index] - lr * fast_inv_sqrt(gradsq_b1[w2_index]) * coef             # <<<<<<<<<<<<<<
 *                 gradsq_b0[w1_index] = gradsq_b0[w1_index] + coef * coef * lr * lr
 *                 gradsq_b1[w2_index] = gradsq_b1[w2_index] + coef * coef * lr * lr
 */
                                  (__pyx_v_b1[__pyx_v_w2_index]) = ((__pyx_v_b1[__pyx_v_w2_index]) - ((__pyx_v_lr * fast_inv_sqrt((__pyx_v_gradsq_b1[__pyx_v_w2_index]))) * __pyx_v_coef));

                                  /* "glove_inner.pyx":697
 *                 b0[w1_index] = b0[w1_index] - lr * fast_inv_sqrt(gradsq_b0[w1_index]) * coef
 *                 b1[w2_index] = b1[w2_index] - lr * fast_inv_sqrt(gradsq_b1[w2_index]) * coef
 *                 gradsq_b0[w1_index] = gradsq_b0[w1_index] + coef * coef * lr * lr             # <<<<<<<<<<<<<<
 *                 gradsq_b1[w2_index] = gradsq_b1[w2_index] + coef * coef * lr * lr
 *             else:
 */
                                  (__pyx_v_gradsq_b0[__pyx_v_w1_index]) = ((__pyx_v_gradsq_b0[__pyx_v_w1_index]) + (((__pyx_v_coef * __pyx_v_coef) * __pyx_v_lr) * __pyx_v_lr));

                                  /* "glove_inner.pyx":698
 *                 b1[w2_index] = b1[w2_index] - lr * fast_inv_sqrt(gradsq_b1[w2_index]) * coef
 *                 gradsq_b0[w1_index] = gradsq_b0[w1_index] + coef * coef * lr * lr
 *                 gradsq_b1[w2_index] = gradsq_b1[w2_index] + coef * coef * lr * lr             # <<<<<<<<<<<<<<
 *             else:
 *                 # Always use AdaGrad to update the global biases.
 */
                                  (__pyx_v_gradsq_b1[__pyx_v_w2_index]) = ((__pyx_v_gradsq_b1[__pyx_v_w2_index]) + (((__pyx_v_coef * __pyx_v_coef) * __pyx_v_lr) * __pyx_v_lr));

                                  /* "glove_inner.pyx":692
 * 
 *             # Update biases.
 *             if with_bias == 1:             # <<<<<<<<<<<<<<
 *                 # Always use AdaGrad to update the biases.
 *                 coef = clamp_scalar(fdiff, -GRAD_CLAMP_THRESHOLD, GRAD_CLAMP_THRESHOLD)
 */
                                  goto __pyx_L25;
                                }

                                /* "glove_inner.pyx":701
 *             else:
 *                 # Always use AdaGrad to update the global biases.
 *                 old_mean_bias = b0[0]             # <<<<<<<<<<<<<<
 *                 old_var_bias = b1[0]
 *                 coef = lr * fdiff * (-1.0 / old_var_bias)
 */
                                /*else*/ {
                                  __pyx_v_old_mean_bias = (__pyx_v_b0[0]);

                                  /* "glove_inner.pyx":702
 *                 # Always use AdaGrad to update the global biases.
 *                 old_mean_bias = b0[0]
 *                 old_var_bias = b1[0]             # <<<<<<<<<<<<<<
 *                 coef = lr * fdiff * (-1.0 / old_var_bias)
 *                 b0[0] = b0[0] - fast_inv_sqrt(gradsq_b0[0]) * coef
 */
                                  __pyx_v_old_var_bias = (__pyx_v_b1[0]);

                                  /* "glove_inner.pyx":703
 *                 old_mean_bias = b0[0]
 *                 old_var_bias = b1[0]
 *                 coef = lr * fdiff * (-1.0 / old_var_bias)             # <<<<<<<<<<<<<<
 *                 b0[0] = b0[0] - fast_inv_sqrt(gradsq_b0[0]) * coef
 *                 gradsq_b0[0] = gradsq_b0[0] + coef * coef
 */
                                  __pyx_v_coef = ((__pyx_v_lr * __pyx_v_fdiff) * (-1.0 / __pyx_v_old_var_bias));

                                  /* "glove_inner.pyx":704
 *                 old_var_bias = b1[0]
 *                 coef = lr * fdiff * (-1.0 / old_var_bias)
 *                 b0[0] = b0[0] - fast_inv_sqrt(gradsq_b0[0]) * coef             # <<<<<<<<<<<<<<
 *                 gradsq_b0[0] = gradsq_b0[0] + coef * coef
 *                 coef = lr * fdiff * (-(similarity - old_mean_bias) / (old_var_bias * old_var_bias))
 */
                                  (__pyx_v_b0[0]) = ((__pyx_v_b0[0]) - (fast_inv_sqrt((__pyx_v_gradsq_b0[0])) * __pyx_v_coef));

                                  /* "glove_inner.pyx":705
 *                 coef = lr * fdiff * (-1.0 / old_var_bias)
 *                 b0[0] = b0[0] - fast_inv_sqrt(gradsq_b0[0]) * coef
 *                 gradsq_b0[0] = gradsq_b0[0] + coef * coef             # <<<<<<<<<<<<<<
 *                 coef = lr * fdiff * (-(similarity - old_mean_bias) / (old_var_bias * old_var_bias))
 *                 b1[0] = b1[0] - fast_inv_sqrt(gradsq_b1[0]) * coef
 */
                                  (__pyx_v_gradsq_b0[0]) = ((__pyx_v_gradsq_b0[0]) + (__pyx_v_coef * __pyx_v_coef));

                                  /* "glove_inner.pyx":706
 *                 b0[0] = b0[0] - fast_inv_sqrt(gradsq_b0[0]) * coef
 *                 gradsq_b0[0] = gradsq_b0[0] + coef * coef
 *                 coef = lr * fdiff * (-(similarity - old_mean_bias) / (old_var_bias * old_var_bias))             # <<<<<<<<<<<<<<
 *                 b1[0] = b1[0] - fast_inv_sqrt(gradsq_b1[0]) * coef
 *                 gradsq_b1[0] = gradsq_b1[0] + coef * coef
 */
                                  __pyx_v_coef = ((__pyx_v_lr * __pyx_v_fdiff) * ((-(__pyx_v_similarity - __pyx_v_old_mean_bias)) / (__pyx_v_old_var_bias * __pyx_v_old_var_bias)));

                                  /* "glove_inner.pyx":707
 *                 gradsq_b0[0] = gradsq_b0[0] + coef * coef
 *                 coef = lr * fdiff * (-(similarity - old_mean_bias) / (old_var_bias * old_var_bias))
 *                 b1[0] = b1[0] - fast_inv_sqrt(gradsq_b1[0]) * coef             # <<<<<<<<<<<<<<
 *                 gradsq_b1[0] = gradsq_b1[0] + coef * coef
 * 
 */
                                  (__pyx_v_b1[0]) = ((__pyx_v_b1[0]) - (fast_inv_sqrt((__pyx_v_gradsq_b1[0])) * __pyx_v_coef));

                                  /* "glove_inner.pyx":708
 *                 coef = lr * fdiff * (-(similarity - old_mean_bias) / (old_var_bias * old_var_bias))
 *                 b1[0] = b1[0] - fast_inv_sqrt(gradsq_b1[0]) * coef
 *                 gradsq_b1[0] = gradsq_b1[0] + coef * coef             # <<<<<<<<<<<<<<
 * 
 *             # Update NN weights, if needed.
 */
                                  (__pyx_v_gradsq_b1[0]) = ((__pyx_v_gradsq_b1[0]) + (__pyx_v_coef * __pyx_v_coef));
                                }
                                __pyx_L25:;

                                /* "glove_inner.pyx":711
 * 
 *             # Update NN weights, if needed.
 *             if dist_func == DistFuncType.NN:             # <<<<<<<<<<<<<<
 *                 # Multiply by dl_dnn
 *                 coef = -lr * fdiff
 */
                                __pyx_t_1 = ((__pyx_v_dist_func == __pyx_e_11glove_inner_NN) != 0);
                                if (__pyx_t_1) {

                                  /* "glove_inner.pyx":713
 *             if dist_func == DistFuncType.NN:
 *                 # Multiply by dl_dnn
 *                 coef = -lr * fdiff             # <<<<<<<<<<<<<<
 *                 our_saxpy(&nn.num_nodes, &coef, &grad_dS_dweights[0*nn.num_nodes], &ONE, &nn.weights[0*nn.num_nodes], &ONE)
 *                 our_saxpy(&nn.num_nodes, &coef, &grad_dS_dweights[1*nn.num_nodes], &ONE, &nn.weights[1*nn.num_nodes], &ONE)
 */
                                  __pyx_v_coef = ((-__pyx_v_lr) * __pyx_v_fdiff);

                                  /* "glove_inner.pyx":714
 *                 # Multiply by dl_dnn
 *                 coef = -lr * fdiff
 *                 our_saxpy(&nn.num_nodes, &coef, &grad_dS_dweights[0*nn.num_nodes], &ONE, &nn.weights[0*nn.num_nodes], &ONE)             # <<<<<<<<<<<<<<
 *                 our_saxpy(&nn.num_nodes, &coef, &grad_dS_dweights[1*nn.num_nodes], &ONE, &nn.weights[1*nn.num_nodes], &ONE)
 *                 our_saxpy(&nn.num_nodes, &coef, &grad_dS_dweights[2*nn.num_nodes], &ONE, &nn.weights[2*nn.num_nodes], &ONE)
 */
                                  __pyx_v_11glove_inner_our_saxpy((&__pyx_v_nn.num_nodes), (&__pyx_v_coef), (&(__pyx_v_grad_dS_dweights[(0 * __pyx_v_nn.num_nodes)])), (&__pyx_v_11glove_inner_ONE), (&(__pyx_v_nn.weights[(0 * __pyx_v_nn.num_nodes)])), (&__pyx_v_11glove_inner_ONE));

                                  /* "glove_inner.pyx":715
 *                 coef = -lr * fdiff
 *                 our_saxpy(&nn.num_nodes, &coef, &grad_dS_dweights[0*nn.num_nodes], &ONE, &nn.weights[0*nn.num_nodes], &ONE)
 *                 our_saxpy(&nn.num_nodes, &coef, &grad_dS_dweights[1*nn.num_nodes], &ONE, &nn.weights[1*nn.num_nodes], &ONE)             # <<<<<<<<<<<<<<
 *                 our_saxpy(&nn.num_nodes, &coef, &grad_dS_dweights[2*nn.num_nodes], &ONE, &nn.weights[2*nn.num_nodes], &ONE)
 *                 nn.output_bias[0] = nn.output_bias[0] + coef * (-1.0)  # Account for the minus in S(v,w) = -f(dist(v,w))
 */
                                  __pyx_v_11glove_inner_our_saxpy((&__pyx_v_nn.num_nodes), (&__pyx_v_coef), (&(__pyx_v_grad_dS_dweights[(1 * __pyx_v_nn.num_nodes)])), (&__pyx_v_11glove_inner_ONE), (&(__pyx_v_nn.weights[(1 * __pyx_v_nn.num_nodes)])), (&__pyx_v_11glove_inner_ONE));

                                  /* "glove_inner.pyx":716
 *                 our_saxpy(&nn.num_nodes, &coef, &grad_dS_dweights[0*nn.num_nodes], &ONE, &nn.weights[0*nn.num_nodes], &ONE)
 *                 our_saxpy(&nn.num_nodes, &coef, &grad_dS_dweights[1*nn.num_nodes], &ONE, &nn.weights[1*nn.num_nodes], &ONE)
 *                 our_saxpy(&nn.num_nodes, &coef, &grad_dS_dweights[2*nn.num_nodes], &ONE, &nn.weights[2*nn.num_nodes], &ONE)             # <<<<<<<<<<<<<<
 *                 nn.output_bias[0] = nn.output_bias[0] + coef * (-1.0)  # Account for the minus in S(v,w) = -f(dist(v,w))
 * 
 */
                                  __pyx_v_11glove_inner_our_saxpy((&__pyx_v_nn.num_nodes), (&__pyx_v_coef), (&(__pyx_v_grad_dS_dweights[(2 * __pyx_v_nn.num_nodes)])), (&__pyx_v_11glove_inner_ONE), (&(__pyx_v_nn.weights[(2 * __pyx_v_nn.num_nodes)])), (&__pyx_v_11glove_inner_ONE));

                                  /* "glove_inner.pyx":717
 *                 our_saxpy(&nn.num_nodes, &coef, &grad_dS_dweights[1*nn.num_nodes], &ONE, &nn.weights[1*nn.num_nodes], &ONE)
 *                 our_saxpy(&nn.num_nodes, &coef, &grad_dS_dweights[2*nn.num_nodes], &ONE, &nn.weights[2*nn.num_nodes], &ONE)
 *                 nn.output_bias[0] = nn.output_bias[0] + coef * (-1.0)  # Account for the minus in S(v,w) = -f(dist(v,w))             # <<<<<<<<<<<<<<
 * 
 *             # Update scaling factor.
 */
                                  (__pyx_v_nn.output_bias[0]) = ((__pyx_v_nn.output_bias[0]) + (__pyx_v_coef * -1.0));

                                  /* "glove_inner.pyx":711
 * 
 *             # Update NN weights, if needed.
 *             if dist_func == DistFuncType.NN:             # <<<<<<<<<<<<<<
 *                 # Multiply by dl_dnn
 *                 coef = -lr * fdiff
 */
                                }

                                /* "glove_inner.pyx":720
 * 
 *             # Update scaling factor.
 *             if use_scaling == 1:             # <<<<<<<<<<<<<<
 *                 scaling_factor[0] = scaling_factor[0] - SCALING_FACTOR_LR * fdiff * similarity
 * 
 */
                                __pyx_t_1 = ((__pyx_v_use_scaling == 1) != 0);
                                if (__pyx_t_1) {

                                  /* "glove_inner.pyx":721
 *             # Update scaling factor.
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 *     if emb_type == EmbType.EUCLID:
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 *         if dist_func_str == "dist":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.DIST
 *         elif dist_func_str == "dist-sq":
 */
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    }

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 *         if dist_func_str == "dist":
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 *         elif dist_func_str == "dist-sq":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.DIST_SQ
 *         else:
 */
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 *             dist_func = DistFuncType.DIST
 *         elif dist_func_str == "dist-sq":
 *             dist_func = DistFuncType.DIST_SQ             # <<<<<<<<<<<<<<
 *         else:
 *             print("Unrecognized distance function type", dist_func_str, "for euclid")
 */
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      /* "glove_inner.pyx":824
 *         if dist_func_str == "dist":
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 *         elif dist_func_str == "dist-sq":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.DIST_SQ
 *         else:
 */
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    }

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 *             dist_func = DistFuncType.DIST_SQ
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 *             exit(-1)
 * 
 */
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      /* "glove_inner.pyx":828
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 *             exit(-1)             # <<<<<<<<<<<<<<
 * 
 *     if emb_type == EmbType.POINCARE:
 */
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 *                 nn.nonlinearity = PositiveNonlinearity.ID
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 *     if emb_type == EmbType.EUCLID:             # <<<<<<<<<<<<<<
 *         # Convert distance function from string to one of the enum values.
 *         if dist_func_str == "dist":
 */
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  /* "glove_inner.pyx":830
 *             exit(-1)
 * 
 *     if emb_type == EmbType.POINCARE:             # <<<<<<<<<<<<<<
 *         # Convert distance function from string to one of the enum values.
 *         if dist_func_str == "dist-sq":
 */
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    /* "glove_inner.pyx":832
 *     if emb_type == EmbType.POINCARE:
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 *         if dist_func_str == "dist-sq":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.DIST_SQ
 *         elif dist_func_str == "dist":
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      /* "glove_inner.pyx":833
 *         # Convert distance function from string to one of the enum values.
 *         if dist_func_str == "dist-sq":
 *             dist_func = DistFuncType.DIST_SQ             # <<<<<<<<<<<<<<
 *         elif dist_func_str == "dist":
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 */
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      /* "glove_inner.pyx":832
 *     if emb_type == EmbType.POINCARE:
 *         # Convert distance function from string to one of the enum values.
 *         if dist_func_str == "dist-sq":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.DIST_SQ
 *         elif dist_func_str == "dist":
 */
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    /* "glove_inner.pyx":834
 *         if dist_func_str == "dist-sq":
 *             dist_func = DistFuncType.DIST_SQ
 *         elif dist_func_str == "dist":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.DIST
 *         elif dist_func_str == "cosh-dist":
 */
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    __pyx_t_4 = (__pyx_t_10 != 0);
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      /* "glove_inner.pyx":835
 *             dist_func = DistFuncType.DIST_SQ
 *         elif dist_func_str == "dist":
 *             dist_func = DistFuncType.DIST             # <<<<<<<<<<<<<<
 *         elif dist_func_str == "cosh-dist":
 *             dist_func = DistFuncType.COSH_DIST
 */
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      /* "glove_inner.pyx":834
 *         if dist_func_str == "dist-sq":
 *             dist_func = DistFuncType.DIST_SQ
 *         elif dist_func_str == "dist":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.DIST
 *         elif dist_func_str == "cosh-dist":
 */
      goto __pyx_L13;
    }

    /* "glove_inner.pyx":836
 *         elif dist_func_str == "dist":
 *             dist_func = DistFuncType.DIST
 *         elif dist_func_str == "cosh-dist":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.COSH_DIST
 *         elif dist_func_str == "cosh-dist-sq":
 */
    __pyx_t_4 = (__Pyx_PyString_Equals(__pyx_v_dist_func_str, __pyx_kp_s_cosh_dist, Py_EQ)); if (unlikely(__pyx_t_4 < 0)) __PYX_ERR(0, 836, __pyx_L1_error)
    __pyx_t_10 = (__pyx_t_4 != 0);
    if (__pyx_t_10) {

      /* "glove_inner.pyx":837
 *             dist_func = DistFuncType.DIST
 *         elif dist_func_str == "cosh-dist":
 *             dist_func = DistFuncType.COSH_DIST             # <<<<<<<<<<<<<<
 *         elif dist_func_str == "cosh-dist-sq":
 *             dist_func = DistFuncType.COSH_DIST_SQ
 */
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      /* "glove_inner.pyx":836
 *         elif dist_func_str == "dist":
 *             dist_func = DistFuncType.DIST
 *         elif dist_func_str == "cosh-dist":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.COSH_DIST
 *         elif dist_func_str == "cosh-dist-sq":
 */
      goto __pyx_L13;
    }

    /* "glove_inner.pyx":838
 *         elif dist_func_str == "cosh-dist":
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 *         elif dist_func_str == "cosh-dist-sq":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.COSH_DIST_SQ
 *         elif dist_func_str == "log-dist-sq":
 */
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      /* "glove_inner.pyx":839
 *             dist_func = DistFuncType.COSH_DIST
 *         elif dist_func_str == "cosh-dist-sq":
 *             dist_func = DistFuncType.COSH_DIST_SQ             # <<<<<<<<<<<<<<
 *         elif dist_func_str == "log-dist-sq":
 *             dist_func = DistFuncType.LOG_DIST_SQ
 */
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      /* "glove_inner.pyx":838
 *         elif dist_func_str == "cosh-dist":
 *             dist_func = DistFuncType.COSH_DIST
 *         elif dist_func_str == "cosh-dist-sq":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.COSH_DIST_SQ
 *         elif dist_func_str == "log-dist-sq":
 */
      goto __pyx_L13;
    }

    /* "glove_inner.pyx":840
 *         elif dist_func_str == "cosh-dist-sq":
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 *         elif dist_func_str == "log-dist-sq":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.LOG_DIST_SQ
 *         elif "cosh-dist-pow-" in dist_func_str:
 */
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      /* "glove_inner.pyx":841
 *             dist_func = DistFuncType.COSH_DIST_SQ
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 *         elif "cosh-dist-pow-" in dist_func_str:
 *             dist_func = DistFuncType.COSH_DIST_POW_K
 */
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      /* "glove_inner.pyx":840
 *         elif dist_func_str == "cosh-dist-sq":
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 *         elif dist_func_str == "log-dist-sq":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.LOG_DIST_SQ
 *         elif "cosh-dist-pow-" in dist_func_str:
 */
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 *         elif dist_func_str == "log-dist-sq":
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 *         elif "cosh-dist-pow-" in dist_func_str:             # <<<<<<<<<<<<<<
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      /* "glove_inner.pyx":843
 *             dist_func = DistFuncType.LOG_DIST_SQ
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      /* "glove_inner.pyx":842
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    /* "glove_inner.pyx":846
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 */
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 *             exit(-1)             # <<<<<<<<<<<<<<
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 *     if emb_type == EmbType.MIX_POINCARE:
 */
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 * 
 *     if emb_type == EmbType.POINCARE:             # <<<<<<<<<<<<<<
 *         # Convert distance function from string to one of the enum values.
 *         if dist_func_str == "dist-sq":
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 * 
 *     if emb_type == EmbType.MIX_POINCARE:             # <<<<<<<<<<<<<<
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    /* "glove_inner.pyx":851
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 *         if dist_func_str == "dist-sq":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.DIST_SQ
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 *         # Convert distance function from string to one of the enum values.
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 *         elif dist_func_str == "dist":
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 *     if emb_type == EmbType.MIX_POINCARE:
 *         # Convert distance function from string to one of the enum values.
 *         if dist_func_str == "dist-sq":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.DIST_SQ
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    /* "glove_inner.pyx":853
 *         if dist_func_str == "dist-sq":
 *             dist_func = DistFuncType.DIST_SQ
 *         elif dist_func_str == "dist":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.DIST
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 *             dist_func = DistFuncType.DIST_SQ
 *         elif dist_func_str == "dist":
 *             dist_func = DistFuncType.DIST             # <<<<<<<<<<<<<<
 *         elif dist_func_str == "cosh-dist-sq":
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      /* "glove_inner.pyx":853
 *         if dist_func_str == "dist-sq":
 *             dist_func = DistFuncType.DIST_SQ
 *         elif dist_func_str == "dist":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.DIST
 *         elif dist_func_str == "cosh-dist-sq":
 */
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    /* "glove_inner.pyx":855
 *         elif dist_func_str == "dist":
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 *         elif dist_func_str == "cosh-dist-sq":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.COSH_DIST_SQ
 *         else:
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      /* "glove_inner.pyx":856
 *             dist_func = DistFuncType.DIST
 *         elif dist_func_str == "cosh-dist-sq":
 *             dist_func = DistFuncType.COSH_DIST_SQ             # <<<<<<<<<<<<<<
 *         else:
 *             print("Unrecognized distance function type", dist_func_str, "for mix-poincare")
 */
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      /* "glove_inner.pyx":855
 *         elif dist_func_str == "dist":
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 *         elif dist_func_str == "cosh-dist-sq":             # <<<<<<<<<<<<<<
 *             dist_func = DistFuncType.COSH_DIST_SQ
 *         else:
 */
      goto __pyx_L15;
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    /* "glove_inner.pyx":858
 *             dist_func = DistFuncType.COSH_DIST_SQ
 *         else:
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 */
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      /* "glove_inner.pyx":859
 *         else:
 *             print("Unrecognized distance function type", dist_func_str, "for mix-poincare")
 *             exit(-1)             # <<<<<<<<<<<<<<
 * 
 *     # Convert optimizer from string to one of the enum values.
 */
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    /* "glove_inner.pyx":849
 *             exit(-1)
 * 
 *     if emb_type == EmbType.MIX_POINCARE:             # <<<<<<<<<<<<<<
 *         # Convert distance function from string to one of the enum values.
 *         if dist_func_str == "dist-sq":
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  /* "glove_inner.pyx":862
 * 
 *     # Convert optimizer from string to one of the enum values.
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 *         optimizer = OptType.ADAGRAD
 *     elif opt_str == "radagrad":
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  if (__pyx_t_4) {

    /* "glove_inner.pyx":863
 *     # Convert optimizer from string to one of the enum values.
 *     if opt_str == "adagrad":
 *         optimizer = OptType.ADAGRAD             # <<<<<<<<<<<<<<
 *     elif opt_str == "radagrad":
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 */
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    /* "glove_inner.pyx":862
 * 
 *     # Convert optimizer from string to one of the enum values.
 *     if opt_str == "adagrad":             # <<<<<<<<<<<<<<
 *         optimizer = OptType.ADAGRAD
 *     elif opt_str == "radagrad":
 */
    goto __pyx_L16;
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  /* "glove_inner.pyx":864
 *     if opt_str == "adagrad":
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 *     elif opt_str == "radagrad":             # <<<<<<<<<<<<<<
 *         optimizer = OptType.RADAGRAD
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#if CYTHON_FAST_PYCALL
#include "frameobject.h"
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 = f->f_localsplus;
    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, int 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, nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif
#endif

/* 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 (PyCFunction_GET_FLAGS(func) & METH_FASTCALL) {
            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

/* PyObjectCallNoArg */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, NULL, 0);
    }
#endif
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || __Pyx_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

/* 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;
}

/* BytesEquals */
  static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

/* UnicodeEquals */
  static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
        #if CYTHON_PEP393_ENABLED
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
        #else
            hash1 = ((PyUnicodeObject*)s1)->hash;
            hash2 = ((PyUnicodeObject*)s2)->hash;
        #endif
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

/* PyObjectSetAttrStr */
  #if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_setattr))
        return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
#endif
    return PyObject_SetAttr(obj, attr_name, value);
}
#endif

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

/* 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;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

/* 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((0 <= wrapped_i) & (wrapped_i < PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyTuple_GET_SIZE(o);
    }
    if ((!boundscheck) || likely((0 <= wrapped_i) & (wrapped_i < PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely((n >= 0) & (n < PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely((n >= 0) & (n < PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return m->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

/* 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");
}

/* DictGetItem */
  #if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (!PyErr_Occurred()) {
            PyObject* args = PyTuple_Pack(1, key);
            if (likely(args))
                PyErr_SetObject(PyExc_KeyError, args);
            Py_XDECREF(args);
        }
        return NULL;
    }
    Py_INCREF(value);
    return value;
}
#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,
                        CYTHON_UNUSED PyObject *cause) {
    __Pyx_PyThreadState_declare
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (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

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

/* SaveResetException */
  #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    #if PY_VERSION_HEX >= 0x030700A2
    *type = tstate->exc_state.exc_type;
    *value = tstate->exc_state.exc_value;
    *tb = tstate->exc_state.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 PY_VERSION_HEX >= 0x030700A2
    tmp_type = tstate->exc_state.exc_type;
    tmp_value = tstate->exc_state.exc_value;
    tmp_tb = tstate->exc_state.exc_traceback;
    tstate->exc_state.exc_type = type;
    tstate->exc_state.exc_value = value;
    tstate->exc_state.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

/* 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

/* 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 PY_VERSION_HEX >= 0x030700A2
    tmp_type = tstate->exc_state.exc_type;
    tmp_value = tstate->exc_state.exc_value;
    tmp_tb = tstate->exc_state.exc_traceback;
    tstate->exc_state.exc_type = local_type;
    tstate->exc_state.exc_value = local_value;
    tstate->exc_state.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;
}

/* 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 (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, 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;
}

/* 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;
}

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

/* CLineInTraceback */
        #ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(CYTHON_UNUSED PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
      use_cline = __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 (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);
}

/* CIntToPy */
        static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (int) -1, const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

/* 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;\
    }

/* Print */
        #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION < 3
static PyObject *__Pyx_GetStdout(void) {
    PyObject *f = PySys_GetObject((char *)"stdout");
    if (!f) {
        PyErr_SetString(PyExc_RuntimeError, "lost sys.stdout");
    }
    return f;
}
static int __Pyx_Print(PyObject* f, PyObject *arg_tuple, int newline) {
    int i;
    if (!f) {
        if (!(f = __Pyx_GetStdout()))
            return -1;
    }
    Py_INCREF(f);
    for (i=0; i < PyTuple_GET_SIZE(arg_tuple); i++) {
        PyObject* v;
        if (PyFile_SoftSpace(f, 1)) {
            if (PyFile_WriteString(" ", f) < 0)
                goto error;
        }
        v = PyTuple_GET_ITEM(arg_tuple, i);
        if (PyFile_WriteObject(v, f, Py_PRINT_RAW) < 0)
            goto error;
        if (PyString_Check(v)) {
            char *s = PyString_AsString(v);
            Py_ssize_t len = PyString_Size(v);
            if (len > 0) {
                switch (s[len-1]) {
                    case ' ': break;
                    case '\f': case '\r': case '\n': case '\t': case '\v':
                        PyFile_SoftSpace(f, 0);
                        break;
                    default:  break;
                }
            }
        }
    }
    if (newline) {
        if (PyFile_WriteString("\n", f) < 0)
            goto error;
        PyFile_SoftSpace(f, 0);
    }
    Py_DECREF(f);
    return 0;
error:
    Py_DECREF(f);
    return -1;
}
#else
static int __Pyx_Print(PyObject* stream, PyObject *arg_tuple, int newline) {
    PyObject* kwargs = 0;
    PyObject* result = 0;
    PyObject* end_string;
    if (unlikely(!__pyx_print)) {
        __pyx_print = PyObject_GetAttr(__pyx_b, __pyx_n_s_print);
        if (!__pyx_print)
            return -1;
    }
    if (stream) {
        kwargs = PyDict_New();
        if (unlikely(!kwargs))
            return -1;
        if (unlikely(PyDict_SetItem(kwargs, __pyx_n_s_file, stream) < 0))
            goto bad;
        if (!newline) {
            end_string = PyUnicode_FromStringAndSize(" ", 1);
            if (unlikely(!end_string))
                goto bad;
            if (PyDict_SetItem(kwargs, __pyx_n_s_end, end_string) < 0) {
                Py_DECREF(end_string);
                goto bad;
            }
            Py_DECREF(end_string);
        }
    } else if (!newline) {
        if (unlikely(!__pyx_print_kwargs)) {
            __pyx_print_kwargs = PyDict_New();
            if (unlikely(!__pyx_print_kwargs))
                return -1;
            end_string = PyUnicode_FromStringAndSize(" ", 1);
            if (unlikely(!end_string))
                return -1;
            if (PyDict_SetItem(__pyx_print_kwargs, __pyx_n_s_end, end_string) < 0) {
                Py_DECREF(end_string);
                return -1;
            }
            Py_DECREF(end_string);
        }
        kwargs = __pyx_print_kwargs;
    }
    result = PyObject_Call(__pyx_print, arg_tuple, kwargs);
    if (unlikely(kwargs) && (kwargs != __pyx_print_kwargs))
        Py_DECREF(kwargs);
    if (!result)
        return -1;
    Py_DECREF(result);
    return 0;
bad:
    if (kwargs != __pyx_print_kwargs)
        Py_XDECREF(kwargs);
    return -1;
}
#endif

/* CIntToPy */
        static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (long) -1, const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

/* Declarations */
        #if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return ::std::complex< float >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
        #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsf(b.real) >= fabsf(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                float r = b.imag / b.real;
                float s = 1.0 / (b.real + b.imag * r);
                return __pyx_t_float_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            float r = b.real / b.imag;
            float s = 1.0 / (b.imag + b.real * r);
            return __pyx_t_float_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            float denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_float_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(a, a);
                    case 3:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, a);
                    case 4:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = powf(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2f(0, -1);
                }
            } else {
                r = __Pyx_c_abs_float(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif

/* Declarations */
        #if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
        #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = 1.0 / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = 1.0 / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0, -1);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

/* CIntToPy */
        static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) {
    const enum NPY_TYPES neg_one = (enum NPY_TYPES) -1, const_zero = (enum NPY_TYPES) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(enum NPY_TYPES) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),
                                     little, !is_unsigned);
    }
}

/* CIntFromPy */
        static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (int) -1, const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(int) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

/* CIntFromPy */
        static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (long) -1, const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(long) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            long val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

/* PrintOne */
        #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION < 3
static int __Pyx_PrintOne(PyObject* f, PyObject *o) {
    if (!f) {
        if (!(f = __Pyx_GetStdout()))
            return -1;
    }
    Py_INCREF(f);
    if (PyFile_SoftSpace(f, 0)) {
        if (PyFile_WriteString(" ", f) < 0)
            goto error;
    }
    if (PyFile_WriteObject(o, f, Py_PRINT_RAW) < 0)
        goto error;
    if (PyFile_WriteString("\n", f) < 0)
        goto error;
    Py_DECREF(f);
    return 0;
error:
    Py_DECREF(f);
    return -1;
    /* the line below is just to avoid C compiler
     * warnings about unused functions */
    return __Pyx_Print(f, NULL, 0);
}
#else
static int __Pyx_PrintOne(PyObject* stream, PyObject *o) {
    int res;
    PyObject* arg_tuple = PyTuple_Pack(1, o);
    if (unlikely(!arg_tuple))
        return -1;
    res = __Pyx_Print(stream, arg_tuple, 1);
    Py_DECREF(arg_tuple);
    return res;
}
#endif

/* 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 CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *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

/* 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;
}

/* VoidPtrExport */
        static int __Pyx_ExportVoidPtr(PyObject *name, void *p, const char *sig) {
    PyObject *d;
    PyObject *cobj = 0;
    d = PyDict_GetItem(__pyx_d, __pyx_n_s_pyx_capi);
    Py_XINCREF(d);
    if (!d) {
        d = PyDict_New();
        if (!d)
            goto bad;
        if (__Pyx_PyObject_SetAttrStr(__pyx_m, __pyx_n_s_pyx_capi, d) < 0)
            goto bad;
    }
#if PY_VERSION_HEX >= 0x02070000
    cobj = PyCapsule_New(p, sig, 0);
#else
    cobj = PyCObject_FromVoidPtrAndDesc(p, (void *)sig, 0);
#endif
    if (!cobj)
        goto bad;
    if (PyDict_SetItem(d, name, cobj) < 0)
        goto bad;
    Py_DECREF(cobj);
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(cobj);
    Py_XDECREF(d);
    return -1;
}

/* FunctionExport */
        static int __Pyx_ExportFunction(const char *name, void (*f)(void), const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    d = PyObject_GetAttrString(__pyx_m, (char *)"__pyx_capi__");
    if (!d) {
        PyErr_Clear();
        d = PyDict_New();
        if (!d)
            goto bad;
        Py_INCREF(d);
        if (PyModule_AddObject(__pyx_m, (char *)"__pyx_capi__", d) < 0)
            goto bad;
    }
    tmp.fp = f;
#if PY_VERSION_HEX >= 0x02070000
    cobj = PyCapsule_New(tmp.p, sig, 0);
#else
    cobj = PyCObject_FromVoidPtrAndDesc(tmp.p, (void *)sig, 0);
#endif
    if (!cobj)
        goto bad;
    if (PyDict_SetItemString(d, name, cobj) < 0)
        goto bad;
    Py_DECREF(cobj);
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(cobj);
    Py_XDECREF(d);
    return -1;
}

/* ModuleImport */
        #ifndef __PYX_HAVE_RT_ImportModule
#define __PYX_HAVE_RT_ImportModule
static PyObject *__Pyx_ImportModule(const char *name) {
    PyObject *py_name = 0;
    PyObject *py_module = 0;
    py_name = __Pyx_PyIdentifier_FromString(name);
    if (!py_name)
        goto bad;
    py_module = PyImport_Import(py_name);
    Py_DECREF(py_name);
    return py_module;
bad:
    Py_XDECREF(py_name);
    return 0;
}
#endif

/* TypeImport */
        #ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    size_t size, int strict)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    py_name = __Pyx_PyIdentifier_FromString(class_name);
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if (!strict && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility. Expected %zd, got %zd",
            module_name, class_name, basicsize, size);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    else if ((size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s has the wrong size, try recompiling. Expected %zd, got %zd",
            module_name, class_name, basicsize, size);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

/* InitStrings */
        static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            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 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(x);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
