text: /* Generated by Cython 0.29.13 */
  
  #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_29_13"
  #define CYTHON_HEX_VERSION 0x001D0DF0
  #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)
    #ifndef __stdcall
      #define __stdcall
    #endif
    #ifndef __cdecl
      #define __cdecl
    #endif
    #ifndef __fastcall
      #define __fastcall
    #endif
  #endif
  #ifndef DL_IMPORT
    #define DL_IMPORT(t) t
  #endif
  #ifndef DL_EXPORT
    #define DL_EXPORT(t) t
  #endif
  #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
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  #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
      #undef CYTHON_USE_ASYNC_SLOTS
      #define CYTHON_USE_ASYNC_SLOTS 0
    #elif !defined(CYTHON_USE_ASYNC_SLOTS)
      #define CYTHON_USE_ASYNC_SLOTS 1
    #endif
    #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
    #undef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS 0
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 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
    #undef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS 0
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 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
    #endif
    #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
    #endif
    #ifndef CYTHON_USE_UNICODE_INTERNALS
      #define CYTHON_USE_UNICODE_INTERNALS 1
    #endif
    #if PY_VERSION_HEX < 0x030300F0
      #undef CYTHON_USE_UNICODE_WRITER
      #define CYTHON_USE_UNICODE_WRITER 0
    #elif !defined(CYTHON_USE_UNICODE_WRITER)
      #define CYTHON_USE_UNICODE_WRITER 1
    #endif
    #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
    #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 (PY_VERSION_HEX >= 0x03050000)
    #endif
    #ifndef CYTHON_USE_TP_FINALIZE
      #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
    #endif
    #ifndef CYTHON_USE_DICT_VERSIONS
      #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1)
    #endif
    #ifndef CYTHON_USE_EXC_INFO_STACK
      #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
    #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
    #ifdef SIZEOF_VOID_P
      enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
    #endif
  #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 __cplusplus
    #error "Cython files generated with the C++ option must be compiled with a C++ compiler."
  #endif
  #ifndef CYTHON_INLINE
    #if defined(__clang__)
      #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
    #else
      #define CYTHON_INLINE inline
    #endif
  #endif
  template<typename T>
  void __Pyx_call_destructor(T& x) {
      x.~T();
  }
  template<typename T>
  class __Pyx_FakeReference {
    public:
      __Pyx_FakeReference() : ptr(NULL) { }
      __Pyx_FakeReference(const T& ref) : ptr(const_cast<T*>(&ref)) { }
      T *operator->() { return ptr; }
      T *operator&() { return ptr; }
      operator T&() { return *ptr; }
      template<typename U> bool operator ==(U other) { return *ptr == other; }
      template<typename U> bool operator !=(U other) { return *ptr != other; }
    private:
      T *ptr;
  };
  
  #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"
  #if PY_VERSION_HEX >= 0x030800A4 && PY_VERSION_HEX < 0x030800B2
    #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
            PyCode_New(a, 0, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #else
    #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)
  #endif
    #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
  #ifndef METH_STACKLESS
    #define METH_STACKLESS 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 | METH_STACKLESS)))))
  #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_CPYTHON && PY_VERSION_HEX < 0x030400A1
    #define PyMem_RawMalloc(n)           PyMem_Malloc(n)
    #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
    #define PyMem_RawFree(p)             PyMem_Free(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;
  }
  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
  #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 || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
  #define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? 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
    #define PyObject_Unicode             PyObject_Str
  #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)
    #endif
  #endif
  #if PY_VERSION_HEX < 0x030200A4
    typedef long Py_hash_t;
    #define __Pyx_PyInt_FromHash_t PyInt_FromLong
    #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
  #else
    #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
    #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
  #endif
  #if PY_MAJOR_VERSION >= 3
    #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : (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__thinc__linear__serialize
  #define __PYX_HAVE_API__thinc__linear__serialize
  /* Early includes */
  #include <string.h>
  #include <stdio.h>
  #include <errno.h>
  #include <stdint.h>
  #include "ios"
  #include "new"
  #include "stdexcept"
  #include "typeinfo"
  #include <vector>
  #include <stdlib.h>
  #include "math.h"
  #include "stdlib.h"
  #ifdef _OPENMP
  #include <omp.h>
  #endif /* _OPENMP */
  
  #if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
  #define CYTHON_WITHOUT_ASSERTIONS
  #endif
  
  typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                  const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;
  
  #define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
  #define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
  #define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
  #define __PYX_DEFAULT_STRING_ENCODING ""
  #define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
  #define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
  #define __Pyx_uchar_cast(c) ((unsigned char)c)
  #define __Pyx_long_cast(x) ((long)x)
  #define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
      (sizeof(type) < sizeof(Py_ssize_t))  ||\
      (sizeof(type) > sizeof(Py_ssize_t) &&\
            likely(v < (type)PY_SSIZE_T_MAX ||\
                   v == (type)PY_SSIZE_T_MAX)  &&\
            (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                  v == (type)PY_SSIZE_T_MIN)))  ||\
      (sizeof(type) == sizeof(Py_ssize_t) &&\
            (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                                 v == (type)PY_SSIZE_T_MAX)))  )
  static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
      return (size_t) i < (size_t) limit;
  }
  #if defined (__cplusplus) && __cplusplus >= 201103L
      #include <cstdlib>
      #define __Pyx_sst_abs(value) std::abs(value)
  #elif SIZEOF_INT >= SIZEOF_SIZE_T
      #define __Pyx_sst_abs(value) abs(value)
  #elif SIZEOF_LONG >= SIZEOF_SIZE_T
      #define __Pyx_sst_abs(value) labs(value)
  #elif defined (_MSC_VER)
      #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
      #define __Pyx_sst_abs(value) llabs(value)
  #elif defined (__GNUC__)
      #define __Pyx_sst_abs(value) __builtin_llabs(value)
  #else
      #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
  #endif
  static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
  static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
  #define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
  #define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
  #define __Pyx_PyBytes_FromString        PyBytes_FromString
  #define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
  static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
  #if PY_MAJOR_VERSION < 3
      #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
      #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
  #else
      #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
      #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
  #endif
  #define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
  #define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
  #define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
  #define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
  #define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
  static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
      const Py_UNICODE *u_end = u;
      while (*u_end++) ;
      return (size_t)(u_end - u - 1);
  }
  #define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
  #define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
  #define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
  #define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
  #define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
  static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
  static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
  static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
  static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
  #define __Pyx_PySequence_Tuple(obj)\
      (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
  static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
  static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
  #if CYTHON_ASSUME_SAFE_MACROS
  #define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
  #else
  #define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
  #endif
  #define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
  #if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
  #else
  #define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
  #endif
  #define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
  #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
  static int __Pyx_sys_getdefaultencoding_not_ascii;
  static int __Pyx_init_sys_getdefaultencoding_params(void) {
      PyObject* sys;
      PyObject* default_encoding = NULL;
      PyObject* ascii_chars_u = NULL;
      PyObject* ascii_chars_b = NULL;
      const char* default_encoding_c;
      sys = PyImport_ImportModule("sys");
      if (!sys) goto bad;
      default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
      Py_DECREF(sys);
      if (!default_encoding) goto bad;
      default_encoding_c = PyBytes_AsString(default_encoding);
      if (!default_encoding_c) goto bad;
      if (strcmp(default_encoding_c, "ascii") == 0) {
          __Pyx_sys_getdefaultencoding_not_ascii = 0;
      } else {
          char ascii_chars[128];
          int c;
          for (c = 0; c < 128; c++) {
              ascii_chars[c] = c;
          }
          __Pyx_sys_getdefaultencoding_not_ascii = 1;
          ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
          if (!ascii_chars_u) goto bad;
          ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
          if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
              PyErr_Format(
                  PyExc_ValueError,
                  "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                  default_encoding_c);
              goto bad;
          }
          Py_DECREF(ascii_chars_u);
          Py_DECREF(ascii_chars_b);
      }
      Py_DECREF(default_encoding);
      return 0;
  bad:
      Py_XDECREF(default_encoding);
      Py_XDECREF(ascii_chars_u);
      Py_XDECREF(ascii_chars_b);
      return -1;
  }
  #endif
  #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
  #else
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
  #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
  static char* __PYX_DEFAULT_STRING_ENCODING;
  static int __Pyx_init_sys_getdefaultencoding_params(void) {
      PyObject* sys;
      PyObject* default_encoding = NULL;
      char* default_encoding_c;
      sys = PyImport_ImportModule("sys");
      if (!sys) goto bad;
      default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
      Py_DECREF(sys);
      if (!default_encoding) goto bad;
      default_encoding_c = PyBytes_AsString(default_encoding);
      if (!default_encoding_c) goto bad;
      __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
      if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
      strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
      Py_DECREF(default_encoding);
      return 0;
  bad:
      Py_XDECREF(default_encoding);
      return -1;
  }
  #endif
  #endif
  
  
  /* Test for GCC > 2.95 */
  #if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
    #define likely(x)   __builtin_expect(!!(x), 1)
    #define unlikely(x) __builtin_expect(!!(x), 0)
  #else /* !__GNUC__ or GCC < 2.95 */
    #define likely(x)   (x)
    #define unlikely(x) (x)
  #endif /* __GNUC__ */
  static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
  
  static PyObject *__pyx_m = NULL;
  static PyObject *__pyx_d;
  static PyObject *__pyx_b;
  static PyObject *__pyx_cython_runtime = NULL;
  static PyObject *__pyx_empty_tuple;
  static PyObject *__pyx_empty_bytes;
  static PyObject *__pyx_empty_unicode;
  static int __pyx_lineno;
  static int __pyx_clineno = 0;
  static const char * __pyx_cfilenm= __FILE__;
  static const char *__pyx_filename;
  
  
  static const char *__pyx_f[] = {
    "serialize.pyx",
    "stringsource",
    "serialize.pxd",
    "cymem.pxd",
    "maps.pxd",
    "linalg.pxd",
    "type.pxd",
    "sparse.pxd",
  };
  /* None.proto */
  #if defined(__GNUC__)
  #define __Pyx_PACKED __attribute__((__packed__))
  #else
  #define __Pyx_PACKED
  #endif
  
  
  /* "typedefs.pxd":7
   * 
   * 
   * ctypedef float weight_t             # <<<<<<<<<<<<<<
   * ctypedef uint64_t atom_t
   * ctypedef uint64_t feat_t
   */
  typedef float __pyx_t_5thinc_8typedefs_weight_t;
  
  /* "typedefs.pxd":8
   * 
   * ctypedef float weight_t
   * ctypedef uint64_t atom_t             # <<<<<<<<<<<<<<
   * ctypedef uint64_t feat_t
   * ctypedef uint64_t hash_t
   */
  typedef uint64_t __pyx_t_5thinc_8typedefs_atom_t;
  
  /* "typedefs.pxd":9
   * ctypedef float weight_t
   * ctypedef uint64_t atom_t
   * ctypedef uint64_t feat_t             # <<<<<<<<<<<<<<
   * ctypedef uint64_t hash_t
   * ctypedef int32_t class_t
   */
  typedef uint64_t __pyx_t_5thinc_8typedefs_feat_t;
  
  /* "typedefs.pxd":10
   * ctypedef uint64_t atom_t
   * ctypedef uint64_t feat_t
   * ctypedef uint64_t hash_t             # <<<<<<<<<<<<<<
   * ctypedef int32_t class_t
   * ctypedef uint32_t count_t
   */
  typedef uint64_t __pyx_t_5thinc_8typedefs_hash_t;
  
  /* "typedefs.pxd":11
   * ctypedef uint64_t feat_t
   * ctypedef uint64_t hash_t
   * ctypedef int32_t class_t             # <<<<<<<<<<<<<<
   * ctypedef uint32_t count_t
   * ctypedef uint32_t time_t
   */
  typedef int32_t __pyx_t_5thinc_8typedefs_class_t;
  
  /* "typedefs.pxd":12
   * ctypedef uint64_t hash_t
   * ctypedef int32_t class_t
   * ctypedef uint32_t count_t             # <<<<<<<<<<<<<<
   * ctypedef uint32_t time_t
   * ctypedef int32_t len_t
   */
  typedef uint32_t __pyx_t_5thinc_8typedefs_count_t;
  
  /* "typedefs.pxd":13
   * ctypedef int32_t class_t
   * ctypedef uint32_t count_t
   * ctypedef uint32_t time_t             # <<<<<<<<<<<<<<
   * ctypedef int32_t len_t
   * ctypedef int32_t idx_t
   */
  typedef uint32_t __pyx_t_5thinc_8typedefs_time_t;
  
  /* "typedefs.pxd":14
   * ctypedef uint32_t count_t
   * ctypedef uint32_t time_t
   * ctypedef int32_t len_t             # <<<<<<<<<<<<<<
   * ctypedef int32_t idx_t
   * 
   */
  typedef int32_t __pyx_t_5thinc_8typedefs_len_t;
  
  /* "typedefs.pxd":15
   * ctypedef uint32_t time_t
   * ctypedef int32_t len_t
   * ctypedef int32_t idx_t             # <<<<<<<<<<<<<<
   * 
   * 
   */
  typedef int32_t __pyx_t_5thinc_8typedefs_idx_t;
  
  /* "preshed/maps.pxd":5
   * 
   * 
   * ctypedef uint64_t key_t             # <<<<<<<<<<<<<<
   * 
   * 
   */
  typedef uint64_t __pyx_t_7preshed_4maps_key_t;
  
  /*--- Type declarations ---*/
  struct __pyx_obj_5cymem_5cymem_PyMalloc;
  struct __pyx_obj_5cymem_5cymem_PyFree;
  struct __pyx_obj_5cymem_5cymem_Pool;
  struct __pyx_obj_5cymem_5cymem_Address;
  struct __pyx_obj_7preshed_4maps_PreshMap;
  struct __pyx_obj_7preshed_4maps_PreshMapArray;
  struct __pyx_obj_5thinc_6linalg_Matrix;
  struct __pyx_obj_5thinc_6linalg_Vec;
  struct __pyx_obj_5thinc_6linalg_VecVec;
  struct __pyx_obj_5thinc_6linalg_Mat;
  struct __pyx_obj_5thinc_6linear_6sparse_SparseArray;
  struct __pyx_obj_5thinc_6linear_9serialize_Writer;
  struct __pyx_obj_5thinc_6linear_9serialize_Reader;
  
  /* "cymem/cymem.pxd":1
   * ctypedef void* (*malloc_t)(size_t n)             # <<<<<<<<<<<<<<
   * ctypedef void (*free_t)(void *p)
   * 
   */
  typedef void *(*__pyx_t_5cymem_5cymem_malloc_t)(size_t);
  
  /* "cymem/cymem.pxd":2
   * ctypedef void* (*malloc_t)(size_t n)
   * ctypedef void (*free_t)(void *p)             # <<<<<<<<<<<<<<
   * 
   * cdef class PyMalloc:
   */
  typedef void (*__pyx_t_5cymem_5cymem_free_t)(void *);
  struct __pyx_t_7preshed_4maps_Cell;
  struct __pyx_t_7preshed_4maps_Result;
  struct __pyx_t_7preshed_4maps_MapStruct;
  
  /* "preshed/maps.pxd":8
   * 
   * 
   * cdef struct Cell:             # <<<<<<<<<<<<<<
   *     key_t key
   *     void* value
   */
  struct __pyx_t_7preshed_4maps_Cell {
    __pyx_t_7preshed_4maps_key_t key;
    void *value;
  };
  
  /* "preshed/maps.pxd":13
   * 
   * 
   * cdef struct Result:             # <<<<<<<<<<<<<<
   *     int found
   *     void* value
   */
  struct __pyx_t_7preshed_4maps_Result {
    int found;
    void *value;
  };
  
  /* "preshed/maps.pxd":18
   * 
   * 
   * cdef struct MapStruct:             # <<<<<<<<<<<<<<
   *     Cell* cells
   *     void* value_for_empty_key
   */
  struct __pyx_t_7preshed_4maps_MapStruct {
    struct __pyx_t_7preshed_4maps_Cell *cells;
    void *value_for_empty_key;
    void *value_for_del_key;
    __pyx_t_7preshed_4maps_key_t length;
    __pyx_t_7preshed_4maps_key_t filled;
    int is_empty_key_set;
    int is_del_key_set;
  };
  struct __pyx_t_5thinc_7structs_ConstantsC;
  struct __pyx_t_5thinc_7structs_EmbedC;
  struct __pyx_t_5thinc_7structs_NeuralNetC;
  struct __pyx_t_5thinc_7structs_ExampleC;
  struct __pyx_t_5thinc_7structs_MinibatchC;
  struct __pyx_t_5thinc_7structs_SparseArrayC;
  struct __pyx_t_5thinc_7structs_FeatureC;
  struct __pyx_t_5thinc_7structs_SparseAverageC;
  struct __pyx_t_5thinc_7structs_TemplateC;
  
  /* "structs.pxd":14
   * include "compile_time_constants.pxi"
   * 
   * ctypedef vector[weight_t] vector_weight_t             # <<<<<<<<<<<<<<
   * 
   * 
   */
  typedef std::vector<__pyx_t_5thinc_8typedefs_weight_t>  __pyx_t_5thinc_7structs_vector_weight_t;
  
  /* "structs.pxd":17
   * 
   * 
   * ctypedef void (*do_update_t)(             # <<<<<<<<<<<<<<
   *     weight_t* weights,
   *     weight_t* gradient,
   */
  typedef void (*__pyx_t_5thinc_7structs_do_update_t)(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_len_t, struct __pyx_t_5thinc_7structs_ConstantsC const *);
  
  /* "structs.pxd":25
   * 
   * 
   * ctypedef void (*do_feed_fwd_t)(             # <<<<<<<<<<<<<<
   *     weight_t** fwd,
   *         const weight_t* W,
   */
  typedef void (*__pyx_t_5thinc_7structs_do_feed_fwd_t)(__pyx_t_5thinc_8typedefs_weight_t **, __pyx_t_5thinc_8typedefs_weight_t const *, __pyx_t_5thinc_8typedefs_len_t const *, int, int, struct __pyx_t_5thinc_7structs_ConstantsC const *);
  
  /* "structs.pxd":35
   * 
   * 
   * ctypedef void (*do_feed_bwd_t)(             # <<<<<<<<<<<<<<
   *     weight_t* G,
   *     weight_t** bwd,
   */
  typedef void (*__pyx_t_5thinc_7structs_do_feed_bwd_t)(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t **, __pyx_t_5thinc_8typedefs_weight_t const *, __pyx_t_5thinc_8typedefs_weight_t const *const *, __pyx_t_5thinc_8typedefs_len_t const *, int, int, struct __pyx_t_5thinc_7structs_ConstantsC const *);
  
  /* "structs.pxd":48
   * 
   * # Alias this, so that it matches our naming scheme
   * ctypedef MapStruct MapC             # <<<<<<<<<<<<<<
   * 
   * 
   */
  typedef struct __pyx_t_7preshed_4maps_MapStruct __pyx_t_5thinc_7structs_MapC;
  
  /* "structs.pxd":51
   * 
   * 
   * cdef struct ConstantsC:             # <<<<<<<<<<<<<<
   *     weight_t a
   *     weight_t b
   */
  struct __pyx_t_5thinc_7structs_ConstantsC {
    __pyx_t_5thinc_8typedefs_weight_t a;
    __pyx_t_5thinc_8typedefs_weight_t b;
    __pyx_t_5thinc_8typedefs_weight_t c;
    __pyx_t_5thinc_8typedefs_weight_t d;
    __pyx_t_5thinc_8typedefs_weight_t e;
    __pyx_t_5thinc_8typedefs_weight_t g;
    __pyx_t_5thinc_8typedefs_weight_t h;
    __pyx_t_5thinc_8typedefs_weight_t i;
    __pyx_t_5thinc_8typedefs_weight_t j;
    __pyx_t_5thinc_8typedefs_weight_t k;
    __pyx_t_5thinc_8typedefs_weight_t l;
    __pyx_t_5thinc_8typedefs_weight_t m;
    __pyx_t_5thinc_8typedefs_weight_t n;
    __pyx_t_5thinc_8typedefs_weight_t o;
    __pyx_t_5thinc_8typedefs_weight_t p;
    __pyx_t_5thinc_8typedefs_weight_t q;
    __pyx_t_5thinc_8typedefs_weight_t r;
    __pyx_t_5thinc_8typedefs_weight_t s;
    __pyx_t_5thinc_8typedefs_weight_t t;
    __pyx_t_5thinc_8typedefs_weight_t u;
    __pyx_t_5thinc_8typedefs_weight_t w;
    __pyx_t_5thinc_8typedefs_weight_t x;
    __pyx_t_5thinc_8typedefs_weight_t y;
    __pyx_t_5thinc_8typedefs_weight_t z;
  };
  
  /* "structs.pxd":78
   * 
   * 
   * cdef struct EmbedC:             # <<<<<<<<<<<<<<
   *     MapC** weights
   *     MapC** gradients
   */
  struct __pyx_t_5thinc_7structs_EmbedC {
    __pyx_t_5thinc_7structs_MapC **weights;
    __pyx_t_5thinc_7structs_MapC **gradients;
    __pyx_t_5thinc_8typedefs_weight_t **defaults;
    __pyx_t_5thinc_8typedefs_weight_t **d_defaults;
    __pyx_t_5thinc_8typedefs_idx_t *offsets;
    __pyx_t_5thinc_8typedefs_len_t *lengths;
    __pyx_t_5thinc_8typedefs_len_t nr;
    int nr_support;
  };
  
  /* "structs.pxd":89
   * 
   * 
   * cdef struct NeuralNetC:             # <<<<<<<<<<<<<<
   *     do_feed_fwd_t feed_fwd
   *     do_feed_bwd_t feed_bwd
   */
  struct __pyx_t_5thinc_7structs_NeuralNetC {
    __pyx_t_5thinc_7structs_do_feed_fwd_t feed_fwd;
    __pyx_t_5thinc_7structs_do_feed_bwd_t feed_bwd;
    __pyx_t_5thinc_7structs_do_update_t update;
    __pyx_t_5thinc_8typedefs_len_t *widths;
    __pyx_t_5thinc_8typedefs_weight_t *weights;
    __pyx_t_5thinc_8typedefs_weight_t *gradient;
    struct __pyx_t_5thinc_7structs_EmbedC *embed;
    __pyx_t_5thinc_8typedefs_len_t nr_layer;
    __pyx_t_5thinc_8typedefs_len_t nr_weight;
    __pyx_t_5thinc_8typedefs_len_t nr_node;
    struct __pyx_t_5thinc_7structs_ConstantsC hp;
  };
  
  /* "structs.pxd":112
   * 
   * 
   * cdef struct ExampleC:             # <<<<<<<<<<<<<<
   *     int* is_valid
   *     weight_t* costs
   */
  struct __pyx_t_5thinc_7structs_ExampleC {
    int *is_valid;
    __pyx_t_5thinc_8typedefs_weight_t *costs;
    uint64_t *atoms;
    struct __pyx_t_5thinc_7structs_FeatureC *features;
    __pyx_t_5thinc_8typedefs_weight_t *scores;
    int nr_class;
    int nr_atom;
    int nr_feat;
  };
  struct __pyx_t_5thinc_7structs_MinibatchC {
  
    /* "structs.pxd":124
   * 
   * 
   * cdef cppclass MinibatchC:             # <<<<<<<<<<<<<<
   *     weight_t** _fwd
   *     weight_t** _bwd
   */
    __pyx_t_5thinc_8typedefs_weight_t **_fwd;
    __pyx_t_5thinc_8typedefs_weight_t **_bwd;
    struct __pyx_t_5thinc_7structs_FeatureC **_feats;
    __pyx_t_5thinc_8typedefs_len_t *_nr_feat;
    __pyx_t_5thinc_8typedefs_weight_t *_costs;
    int *_is_valid;
    uint64_t *signatures;
    __pyx_t_5thinc_8typedefs_len_t *widths;
    int i;
    int nr_layer;
    int batch_size;
    void __pyx_f___init__MinibatchC(__pyx_t_5thinc_8typedefs_len_t *, int, int);
    void __pyx_f___dealloc__MinibatchC(void);
    virtual void reset(void);
    virtual int nr_in(void);
    virtual int nr_out(void);
    virtual int push_back(struct __pyx_t_5thinc_7structs_FeatureC const *, int, __pyx_t_5thinc_8typedefs_weight_t const *, int const *, uint64_t);
    virtual struct __pyx_t_5thinc_7structs_FeatureC *features(int);
    virtual int nr_feat(int);
    virtual __pyx_t_5thinc_8typedefs_weight_t *fwd(int, int);
    virtual __pyx_t_5thinc_8typedefs_weight_t *bwd(int, int);
    virtual __pyx_t_5thinc_8typedefs_weight_t *scores(int);
    virtual __pyx_t_5thinc_8typedefs_weight_t *losses(int);
    virtual __pyx_t_5thinc_8typedefs_weight_t *costs(int);
    virtual int *is_valid(int);
    virtual int guess(int);
    virtual int best(int);
    __pyx_t_5thinc_7structs_MinibatchC(__pyx_t_5thinc_8typedefs_len_t *__pyx_v_widths, int __pyx_v_nr_layer, int __pyx_v_batch_size) {
      __pyx_f___init__MinibatchC(__pyx_v_widths, __pyx_v_nr_layer, __pyx_v_batch_size);
    }
    virtual ~__pyx_t_5thinc_7structs_MinibatchC() {
      __pyx_f___dealloc__MinibatchC();
    }
  };
  
  /* "structs.pxd":258
   * 
   * 
   * cdef packed struct SparseArrayC:             # <<<<<<<<<<<<<<
   *     int32_t key
   *     weight_t val
   */
  #if defined(__SUNPRO_C)
    #pragma pack(1)
  #elif !defined(__GNUC__)
    #pragma pack(push, 1)
  #endif
  struct __Pyx_PACKED __pyx_t_5thinc_7structs_SparseArrayC {
    int32_t key;
    __pyx_t_5thinc_8typedefs_weight_t val;
  };
  #if defined(__SUNPRO_C)
    #pragma pack()
  #elif !defined(__GNUC__)
    #pragma pack(pop)
  #endif
  
  /* "structs.pxd":263
   * 
   * 
   * cdef struct FeatureC:             # <<<<<<<<<<<<<<
   *     int i
   *     uint64_t key
   */
  struct __pyx_t_5thinc_7structs_FeatureC {
    int i;
    uint64_t key;
    __pyx_t_5thinc_8typedefs_weight_t value;
  };
  
  /* "structs.pxd":269
   * 
   * 
   * cdef struct SparseAverageC:             # <<<<<<<<<<<<<<
   *     SparseArrayC* curr
   *     SparseArrayC* mom1
   */
  struct __pyx_t_5thinc_7structs_SparseAverageC {
    struct __pyx_t_5thinc_7structs_SparseArrayC *curr;
    struct __pyx_t_5thinc_7structs_SparseArrayC *mom1;
    struct __pyx_t_5thinc_7structs_SparseArrayC *mom2;
    struct __pyx_t_5thinc_7structs_SparseArrayC *avgs;
    struct __pyx_t_5thinc_7structs_SparseArrayC *times;
    struct __pyx_t_5thinc_7structs_SparseArrayC *penalties;
    __pyx_t_5thinc_8typedefs_weight_t penalty;
  };
  
  /* "structs.pxd":279
   * 
   * 
   * cdef struct TemplateC:             # <<<<<<<<<<<<<<
   *     int[MAX_TEMPLATE_LEN] indices
   *     int length
   */
  struct __pyx_t_5thinc_7structs_TemplateC {
    int indices[10];
    int length;
    __pyx_t_5thinc_8typedefs_atom_t atoms[10];
  };
  struct __pyx_t_5thinc_6linear_9serialize__header_t;
  
  /* "thinc/linear/serialize.pyx":63
   * 
   * 
   * cdef packed struct _header_t:             # <<<<<<<<<<<<<<
   *     # row header as defined by model file format
   *     feat_t feat_id
   */
  #if defined(__SUNPRO_C)
    #pragma pack(1)
  #elif !defined(__GNUC__)
    #pragma pack(push, 1)
  #endif
  struct __Pyx_PACKED __pyx_t_5thinc_6linear_9serialize__header_t {
    __pyx_t_5thinc_8typedefs_feat_t feat_id;
    int32_t length;
  };
  #if defined(__SUNPRO_C)
    #pragma pack()
  #elif !defined(__GNUC__)
    #pragma pack(pop)
  #endif
  
  /* "cymem/cymem.pxd":4
   * ctypedef void (*free_t)(void *p)
   * 
   * cdef class PyMalloc:             # <<<<<<<<<<<<<<
   *     cdef malloc_t malloc
   *     cdef void _set(self, malloc_t malloc)
   */
  struct __pyx_obj_5cymem_5cymem_PyMalloc {
    PyObject_HEAD
    struct __pyx_vtabstruct_5cymem_5cymem_PyMalloc *__pyx_vtab;
    __pyx_t_5cymem_5cymem_malloc_t malloc;
  };
  
  
  /* "cymem/cymem.pxd":10
   * cdef PyMalloc WrapMalloc(malloc_t malloc)
   * 
   * cdef class PyFree:             # <<<<<<<<<<<<<<
   *     cdef free_t free
   *     cdef void _set(self, free_t free)
   */
  struct __pyx_obj_5cymem_5cymem_PyFree {
    PyObject_HEAD
    struct __pyx_vtabstruct_5cymem_5cymem_PyFree *__pyx_vtab;
    __pyx_t_5cymem_5cymem_free_t free;
  };
  
  
  /* "cymem/cymem.pxd":16
   * cdef PyFree WrapFree(free_t free)
   * 
   * cdef class Pool:             # <<<<<<<<<<<<<<
   *     cdef readonly size_t size
   *     cdef readonly dict addresses
   */
  struct __pyx_obj_5cymem_5cymem_Pool {
    PyObject_HEAD
    struct __pyx_vtabstruct_5cymem_5cymem_Pool *__pyx_vtab;
    size_t size;
    PyObject *addresses;
    PyObject *refs;
    struct __pyx_obj_5cymem_5cymem_PyMalloc *pymalloc;
    struct __pyx_obj_5cymem_5cymem_PyFree *pyfree;
  };
  
  
  /* "cymem/cymem.pxd":28
   * 
   * 
   * cdef class Address:             # <<<<<<<<<<<<<<
   *     cdef void* ptr
   *     cdef readonly PyMalloc pymalloc
   */
  struct __pyx_obj_5cymem_5cymem_Address {
    PyObject_HEAD
    void *ptr;
    struct __pyx_obj_5cymem_5cymem_PyMalloc *pymalloc;
    struct __pyx_obj_5cymem_5cymem_PyFree *pyfree;
  };
  
  
  /* "preshed/maps.pxd":41
   * 
   * 
   * cdef class PreshMap:             # <<<<<<<<<<<<<<
   *     cdef MapStruct* c_map
   *     cdef Pool mem
   */
  struct __pyx_obj_7preshed_4maps_PreshMap {
    PyObject_HEAD
    struct __pyx_vtabstruct_7preshed_4maps_PreshMap *__pyx_vtab;
    struct __pyx_t_7preshed_4maps_MapStruct *c_map;
    struct __pyx_obj_5cymem_5cymem_Pool *mem;
  };
  
  
  /* "preshed/maps.pxd":49
   * 
   * 
   * cdef class PreshMapArray:             # <<<<<<<<<<<<<<
   *     cdef Pool mem
   *     cdef MapStruct* maps
   */
  struct __pyx_obj_7preshed_4maps_PreshMapArray {
    PyObject_HEAD
    struct __pyx_vtabstruct_7preshed_4maps_PreshMapArray *__pyx_vtab;
    struct __pyx_obj_5cymem_5cymem_Pool *mem;
    struct __pyx_t_7preshed_4maps_MapStruct *maps;
    size_t length;
  };
  
  
  /* "linalg.pxd":22
   * 
   * 
   * cdef class Matrix:             # <<<<<<<<<<<<<<
   *     cdef readonly Pool mem
   *     cdef weight_t* data
   */
  struct __pyx_obj_5thinc_6linalg_Matrix {
    PyObject_HEAD
    struct __pyx_obj_5cymem_5cymem_Pool *mem;
    __pyx_t_5thinc_8typedefs_weight_t *data;
    int32_t nr_row;
    int32_t nr_col;
  };
  
  
  /* "linalg.pxd":29
   * 
   * 
   * cdef class Vec:             # <<<<<<<<<<<<<<
   *     @staticmethod
   *     cdef inline int arg_max(const weight_t* scores, const int n_classes) nogil:
   */
  struct __pyx_obj_5thinc_6linalg_Vec {
    PyObject_HEAD
    struct __pyx_vtabstruct_5thinc_6linalg_Vec *__pyx_vtab;
  };
  
  
  /* "linalg.pxd":158
   * 
   * 
   * cdef class VecVec:             # <<<<<<<<<<<<<<
   *     @staticmethod
   *     cdef inline void add(weight_t* output,
   */
  struct __pyx_obj_5thinc_6linalg_VecVec {
    PyObject_HEAD
    struct __pyx_vtabstruct_5thinc_6linalg_VecVec *__pyx_vtab;
  };
  
  
  /* "linalg.pxd":249
   * 
   * 
   * cdef class Mat:             # <<<<<<<<<<<<<<
   *     @staticmethod
   *     cdef inline void mean_row(weight_t* Ex,
   */
  struct __pyx_obj_5thinc_6linalg_Mat {
    PyObject_HEAD
    struct __pyx_vtabstruct_5thinc_6linalg_Mat *__pyx_vtab;
  };
  
  
  /* "sparse.pxd":8
   * 
   * 
   * cdef class SparseArray:             # <<<<<<<<<<<<<<
   *     cdef SparseArrayC* c
   * 
   */
  struct __pyx_obj_5thinc_6linear_6sparse_SparseArray {
    PyObject_HEAD
    struct __pyx_vtabstruct_5thinc_6linear_6sparse_SparseArray *__pyx_vtab;
    struct __pyx_t_5thinc_7structs_SparseArrayC *c;
  };
  
  
  /* "thinc/linear/serialize.pxd":10
   * 
   * 
   * cdef class Writer:             # <<<<<<<<<<<<<<
   *     cdef FILE* _fp
   * 
   */
  struct __pyx_obj_5thinc_6linear_9serialize_Writer {
    PyObject_HEAD
    struct __pyx_vtabstruct_5thinc_6linear_9serialize_Writer *__pyx_vtab;
    FILE *_fp;
  };
  
  
  /* "thinc/linear/serialize.pxd":16
   * 
   * 
   * cdef class Reader:             # <<<<<<<<<<<<<<
   *     cdef FILE* _fp
   *     cdef public int32_t nr_feat
   */
  struct __pyx_obj_5thinc_6linear_9serialize_Reader {
    PyObject_HEAD
    struct __pyx_vtabstruct_5thinc_6linear_9serialize_Reader *__pyx_vtab;
    FILE *_fp;
    int32_t nr_feat;
  };
  
  
  
  /* "cymem/cymem.pxd":4
   * ctypedef void (*free_t)(void *p)
   * 
   * cdef class PyMalloc:             # <<<<<<<<<<<<<<
   *     cdef malloc_t malloc
   *     cdef void _set(self, malloc_t malloc)
   */
  
  struct __pyx_vtabstruct_5cymem_5cymem_PyMalloc {
    void (*_set)(struct __pyx_obj_5cymem_5cymem_PyMalloc *, __pyx_t_5cymem_5cymem_malloc_t);
  };
  static struct __pyx_vtabstruct_5cymem_5cymem_PyMalloc *__pyx_vtabptr_5cymem_5cymem_PyMalloc;
  
  
  /* "cymem/cymem.pxd":10
   * cdef PyMalloc WrapMalloc(malloc_t malloc)
   * 
   * cdef class PyFree:             # <<<<<<<<<<<<<<
   *     cdef free_t free
   *     cdef void _set(self, free_t free)
   */
  
  struct __pyx_vtabstruct_5cymem_5cymem_PyFree {
    void (*_set)(struct __pyx_obj_5cymem_5cymem_PyFree *, __pyx_t_5cymem_5cymem_free_t);
  };
  static struct __pyx_vtabstruct_5cymem_5cymem_PyFree *__pyx_vtabptr_5cymem_5cymem_PyFree;
  
  
  /* "cymem/cymem.pxd":16
   * cdef PyFree WrapFree(free_t free)
   * 
   * cdef class Pool:             # <<<<<<<<<<<<<<
   *     cdef readonly size_t size
   *     cdef readonly dict addresses
   */
  
  struct __pyx_vtabstruct_5cymem_5cymem_Pool {
    void *(*alloc)(struct __pyx_obj_5cymem_5cymem_Pool *, size_t, size_t);
    void (*free)(struct __pyx_obj_5cymem_5cymem_Pool *, void *);
    void *(*realloc)(struct __pyx_obj_5cymem_5cymem_Pool *, void *, size_t);
  };
  static struct __pyx_vtabstruct_5cymem_5cymem_Pool *__pyx_vtabptr_5cymem_5cymem_Pool;
  
  
  /* "preshed/maps.pxd":41
   * 
   * 
   * cdef class PreshMap:             # <<<<<<<<<<<<<<
   *     cdef MapStruct* c_map
   *     cdef Pool mem
   */
  
  struct __pyx_vtabstruct_7preshed_4maps_PreshMap {
    void *(*get)(struct __pyx_obj_7preshed_4maps_PreshMap *, __pyx_t_7preshed_4maps_key_t);
    void (*set)(struct __pyx_obj_7preshed_4maps_PreshMap *, __pyx_t_7preshed_4maps_key_t, void *);
  };
  static struct __pyx_vtabstruct_7preshed_4maps_PreshMap *__pyx_vtabptr_7preshed_4maps_PreshMap;
  
  
  /* "preshed/maps.pxd":49
   * 
   * 
   * cdef class PreshMapArray:             # <<<<<<<<<<<<<<
   *     cdef Pool mem
   *     cdef MapStruct* maps
   */
  
  struct __pyx_vtabstruct_7preshed_4maps_PreshMapArray {
    void *(*get)(struct __pyx_obj_7preshed_4maps_PreshMapArray *, size_t, __pyx_t_7preshed_4maps_key_t);
    void (*set)(struct __pyx_obj_7preshed_4maps_PreshMapArray *, size_t, __pyx_t_7preshed_4maps_key_t, void *);
  };
  static struct __pyx_vtabstruct_7preshed_4maps_PreshMapArray *__pyx_vtabptr_7preshed_4maps_PreshMapArray;
  
  
  /* "linalg.pxd":29
   * 
   * 
   * cdef class Vec:             # <<<<<<<<<<<<<<
   *     @staticmethod
   *     cdef inline int arg_max(const weight_t* scores, const int n_classes) nogil:
   */
  
  struct __pyx_vtabstruct_5thinc_6linalg_Vec {
    int (*arg_max)(__pyx_t_5thinc_8typedefs_weight_t const *, int const );
    __pyx_t_5thinc_8typedefs_weight_t (*max)(__pyx_t_5thinc_8typedefs_weight_t const *, int32_t);
    __pyx_t_5thinc_8typedefs_weight_t (*sum)(__pyx_t_5thinc_8typedefs_weight_t const *, int32_t);
    __pyx_t_5thinc_8typedefs_weight_t (*norm)(__pyx_t_5thinc_8typedefs_weight_t const *, int32_t);
    void (*add)(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const *, __pyx_t_5thinc_8typedefs_weight_t, int32_t);
    void (*add_i)(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t, int32_t);
    void (*mul)(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const *, __pyx_t_5thinc_8typedefs_weight_t, int32_t);
    void (*mul_i)(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t, int32_t);
    void (*pow)(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const *, __pyx_t_5thinc_8typedefs_weight_t, int32_t);
    void (*pow_i)(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const , int32_t);
    void (*div)(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const *, __pyx_t_5thinc_8typedefs_weight_t, int32_t);
    void (*div_i)(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const , int32_t);
    void (*exp)(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const *, int32_t);
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  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_add_i(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t, int32_t);
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_mul(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const *, __pyx_t_5thinc_8typedefs_weight_t, int32_t);
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_mul_i(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t, int32_t);
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_pow(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const *, __pyx_t_5thinc_8typedefs_weight_t, int32_t);
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_pow_i(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const , int32_t);
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_div(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const *, __pyx_t_5thinc_8typedefs_weight_t, int32_t);
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_div_i(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const , int32_t);
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_exp(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const *, int32_t);
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_exp_i(__pyx_t_5thinc_8typedefs_weight_t *, int32_t);
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_reciprocal_i(__pyx_t_5thinc_8typedefs_weight_t *, int32_t);
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_3Vec_mean(__pyx_t_5thinc_8typedefs_weight_t const *, int32_t);
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_3Vec_variance(__pyx_t_5thinc_8typedefs_weight_t const *, int32_t);
  
  
  /* "linalg.pxd":158
   * 
   * 
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   */
  
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  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_add_pow_i(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const *, __pyx_t_5thinc_8typedefs_weight_t, int32_t);
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_mul(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const *, __pyx_t_5thinc_8typedefs_weight_t const *, int32_t);
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_mul_i(__pyx_t_5thinc_8typedefs_weight_t *, __pyx_t_5thinc_8typedefs_weight_t const *, int32_t);
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_6VecVec_dot(__pyx_t_5thinc_8typedefs_weight_t const *, __pyx_t_5thinc_8typedefs_weight_t const *, int32_t);
  static CYTHON_INLINE int __pyx_f_5thinc_6linalg_6VecVec_arg_max_if_true(__pyx_t_5thinc_8typedefs_weight_t const *, int const *, int const );
  static CYTHON_INLINE int __pyx_f_5thinc_6linalg_6VecVec_arg_max_if_zero(__pyx_t_5thinc_8typedefs_weight_t const *, __pyx_t_5thinc_8typedefs_weight_t const *, int const );
  
  
  /* "linalg.pxd":249
   * 
   * 
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   *     @staticmethod
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  struct __pyx_vtabstruct_5thinc_6linalg_Mat {
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   * 
   * 
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   *     def __init__(self, object loc, int32_t nr_feat):
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   * 
   * 
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   *     def __init__(self, loc):
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  #define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
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  /* SetVTable.proto */
  static int __Pyx_SetVtable(PyObject *dict, void *vtable);
  
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  enum __Pyx_ImportType_CheckSize {
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  /* GetVTable.proto */
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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);
  
  /* 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 */
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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,
                                 int py_line, const char *filename);
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int32_t(int32_t value);
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE int32_t __Pyx_PyInt_As_int32_t(PyObject *);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);
  
  /* 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);
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  static int __pyx_f_5thinc_6linear_9serialize_6Writer_write(struct __pyx_obj_5thinc_6linear_9serialize_Writer *__pyx_v_self, __pyx_t_5thinc_8typedefs_feat_t __pyx_v_feat_id, struct __pyx_t_5thinc_7structs_SparseArrayC *__pyx_v_feat); /* proto*/
  static int __pyx_f_5thinc_6linear_9serialize_6Reader_read(struct __pyx_obj_5thinc_6linear_9serialize_Reader *__pyx_v_self, CYTHON_UNUSED struct __pyx_obj_5cymem_5cymem_Pool *__pyx_v_mem, __pyx_t_5thinc_8typedefs_feat_t *__pyx_v_out_id, struct __pyx_t_5thinc_7structs_SparseArrayC **__pyx_v_out_feat); /* proto*/
  static CYTHON_INLINE int __pyx_f_5thinc_6linalg_3Vec_arg_max(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_scores, int const __pyx_v_n_classes); /* proto*/
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_3Vec_max(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_x, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_3Vec_sum(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_vec, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_3Vec_norm(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_vec, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_add(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_inc, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_add_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_inc, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_mul(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scal, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_mul_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scal, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_pow(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scal, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_pow_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t const __pyx_v_scal, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_div(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scal, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_div_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t const __pyx_v_scal, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_exp(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_vec, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_exp_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_vec, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_reciprocal_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_vec, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_3Vec_mean(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_X, int32_t __pyx_v_nr_dim); /* proto*/
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_3Vec_variance(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_X, int32_t __pyx_v_nr_dim); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_add(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scale, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_add_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scale, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_batch_add_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scale, int32_t __pyx_v_nr, int32_t __pyx_v_nr_batch); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_add_pow(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_power, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_add_pow_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_power, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_mul(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_mul_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_6VecVec_dot(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, int32_t __pyx_v_nr); /* proto*/
  static CYTHON_INLINE int __pyx_f_5thinc_6linalg_6VecVec_arg_max_if_true(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_scores, int const *__pyx_v_is_valid, int const __pyx_v_n_classes); /* proto*/
  static CYTHON_INLINE int __pyx_f_5thinc_6linalg_6VecVec_arg_max_if_zero(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_scores, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_costs, int const __pyx_v_n_classes); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Mat_mean_row(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_Ex, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_mat, int32_t __pyx_v_nr_row, int32_t __pyx_v_nr_col); /* proto*/
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Mat_var_row(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_Vx, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_mat, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_Ex, int32_t __pyx_v_nr_row, int32_t __pyx_v_nr_col, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_eps); /* proto*/
  static CYTHON_INLINE struct __pyx_t_5thinc_7structs_SparseArrayC *__pyx_f_5thinc_6linear_6sparse_11SparseArray_init(int __pyx_v_key, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_value); /* proto*/
  static CYTHON_INLINE struct __pyx_t_5thinc_7structs_SparseArrayC *__pyx_f_5thinc_6linear_6sparse_11SparseArray_clone(struct __pyx_t_5thinc_7structs_SparseArrayC const *__pyx_v_src); /* proto*/
  static CYTHON_INLINE int __pyx_f_5thinc_6linear_6sparse_11SparseArray_find_key(struct __pyx_t_5thinc_7structs_SparseArrayC const *__pyx_v_array, int __pyx_v_key); /* proto*/
  static CYTHON_INLINE struct __pyx_t_5thinc_7structs_SparseArrayC *__pyx_f_5thinc_6linear_6sparse_11SparseArray_resize(struct __pyx_t_5thinc_7structs_SparseArrayC *__pyx_v_array); /* proto*/
  static CYTHON_INLINE int __pyx_f_5thinc_6linear_6sparse_11SparseArray_cmp(void const *__pyx_v_a, void const *__pyx_v_b); /* proto*/
  
  /* Module declarations from 'libc.string' */
  
  /* Module declarations from 'libc.stdio' */
  
  /* Module declarations from 'libc.errno' */
  
  /* Module declarations from 'libc.stdint' */
  
  /* Module declarations from 'thinc.typedefs' */
  
  /* Module declarations from 'cymem.cymem' */
  static PyTypeObject *__pyx_ptype_5cymem_5cymem_PyMalloc = 0;
  static PyTypeObject *__pyx_ptype_5cymem_5cymem_PyFree = 0;
  static PyTypeObject *__pyx_ptype_5cymem_5cymem_Pool = 0;
  static PyTypeObject *__pyx_ptype_5cymem_5cymem_Address = 0;
  
  /* Module declarations from 'preshed.maps' */
  static PyTypeObject *__pyx_ptype_7preshed_4maps_PreshMap = 0;
  static PyTypeObject *__pyx_ptype_7preshed_4maps_PreshMapArray = 0;
  
  /* Module declarations from 'libcpp.vector' */
  
  /* Module declarations from 'libc.stdlib' */
  
  /* Module declarations from 'murmurhash.mrmr' */
  static uint64_t (*__pyx_f_10murmurhash_4mrmr_real_hash64)(void *, int, uint64_t); /*proto*/
  
  /* Module declarations from 'cython' */
  
  /* Module declarations from 'thinc.linalg' */
  static PyTypeObject *__pyx_ptype_5thinc_6linalg_Matrix = 0;
  static PyTypeObject *__pyx_ptype_5thinc_6linalg_Vec = 0;
  static PyTypeObject *__pyx_ptype_5thinc_6linalg_VecVec = 0;
  static PyTypeObject *__pyx_ptype_5thinc_6linalg_Mat = 0;
  
  /* Module declarations from 'thinc.structs' */
  
  /* Module declarations from 'cpython.mem' */
  
  /* 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.exc' */
  
  /* Module declarations from 'thinc.linear.sparse' */
  static PyTypeObject *__pyx_ptype_5thinc_6linear_6sparse_SparseArray = 0;
  
  /* Module declarations from 'thinc.linear.serialize' */
  static PyTypeObject *__pyx_ptype_5thinc_6linear_9serialize_Writer = 0;
  static PyTypeObject *__pyx_ptype_5thinc_6linear_9serialize_Reader = 0;
  static int __pyx_f_5thinc_6linear_9serialize__write(void *, size_t, int, FILE *); /*proto*/
  #define __Pyx_MODULE_NAME "thinc.linear.serialize"
  extern int __pyx_module_is_main_thinc__linear__serialize;
  int __pyx_module_is_main_thinc__linear__serialize = 0;
  
  /* Implementation of 'thinc.linear.serialize' */
  static PyObject *__pyx_builtin_range;
  static PyObject *__pyx_builtin_TypeError;
  static PyObject *__pyx_builtin_IOError;
  static PyObject *__pyx_builtin_MemoryError;
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  static const char __pyx_k_key[] = "key";
  static const char __pyx_k_loc[] = "loc";
  static const char __pyx_k_val[] = "val";
  static const char __pyx_k_main[] = "__main__";
  static const char __pyx_k_name[] = "__name__";
  static const char __pyx_k_path[] = "path";
  static const char __pyx_k_test[] = "__test__";
  static const char __pyx_k_utf8[] = "utf8";
  static const char __pyx_k_isdir[] = "isdir";
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  static const char __pyx_k_Writer[] = "Writer";
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  static const char __pyx_k_exists[] = "exists";
  static const char __pyx_k_import[] = "__import__";
  static const char __pyx_k_reduce[] = "__reduce__";
  static const char __pyx_k_IOError[] = "IOError";
  static const char __pyx_k_nr_feat[] = "nr_feat";
  static const char __pyx_k_getstate[] = "__getstate__";
  static const char __pyx_k_setstate[] = "__setstate__";
  static const char __pyx_k_TypeError[] = "TypeError";
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  static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
  static const char __pyx_k_MemoryError[] = "MemoryError";
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  static const char __pyx_k_s_is_directory[] = "%s is directory.";
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    __pyx_r = __pyx_v_mode;
    goto __pyx_L0;
  
    /* "linalg.pxd":44
   * 
   *     @staticmethod
   *     cdef inline weight_t max(const weight_t* x, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         if nr == 0:
   *             return 0
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "linalg.pxd":55
   * 
   *     @staticmethod
   *     cdef inline weight_t sum(const weight_t* vec, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         cdef weight_t total = 0
   */
  
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_3Vec_sum(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_vec, int32_t __pyx_v_nr) {
    int __pyx_v_i;
    __pyx_t_5thinc_8typedefs_weight_t __pyx_v_total;
    __pyx_t_5thinc_8typedefs_weight_t __pyx_r;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int __pyx_t_3;
  
    /* "linalg.pxd":57
   *     cdef inline weight_t sum(const weight_t* vec, int32_t nr) nogil:
   *         cdef int i
   *         cdef weight_t total = 0             # <<<<<<<<<<<<<<
   *         for i in range(nr):
   *             total += vec[i]
   */
    __pyx_v_total = 0.0;
  
    /* "linalg.pxd":58
   *         cdef int i
   *         cdef weight_t total = 0
   *         for i in range(nr):             # <<<<<<<<<<<<<<
   *             total += vec[i]
   *         return total
   */
    __pyx_t_1 = __pyx_v_nr;
    __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;
  
      /* "linalg.pxd":59
   *         cdef weight_t total = 0
   *         for i in range(nr):
   *             total += vec[i]             # <<<<<<<<<<<<<<
   *         return total
   * 
   */
      __pyx_v_total = (__pyx_v_total + (__pyx_v_vec[__pyx_v_i]));
    }
  
    /* "linalg.pxd":60
   *         for i in range(nr):
   *             total += vec[i]
   *         return total             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
    __pyx_r = __pyx_v_total;
    goto __pyx_L0;
  
    /* "linalg.pxd":55
   * 
   *     @staticmethod
   *     cdef inline weight_t sum(const weight_t* vec, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         cdef weight_t total = 0
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "linalg.pxd":63
   * 
   *     @staticmethod
   *     cdef inline weight_t norm(const weight_t* vec, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef weight_t total = 0
   *         for i in range(nr):
   */
  
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_3Vec_norm(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_vec, int32_t __pyx_v_nr) {
    __pyx_t_5thinc_8typedefs_weight_t __pyx_v_total;
    int32_t __pyx_v_i;
    __pyx_t_5thinc_8typedefs_weight_t __pyx_r;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int32_t __pyx_t_3;
  
    /* "linalg.pxd":64
   *     @staticmethod
   *     cdef inline weight_t norm(const weight_t* vec, int32_t nr) nogil:
   *         cdef weight_t total = 0             # <<<<<<<<<<<<<<
   *         for i in range(nr):
   *             total += vec[i] ** 2
   */
    __pyx_v_total = 0.0;
  
    /* "linalg.pxd":65
   *     cdef inline weight_t norm(const weight_t* vec, int32_t nr) nogil:
   *         cdef weight_t total = 0
   *         for i in range(nr):             # <<<<<<<<<<<<<<
   *             total += vec[i] ** 2
   *         return sqrt(total)
   */
    __pyx_t_1 = __pyx_v_nr;
    __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;
  
      /* "linalg.pxd":66
   *         cdef weight_t total = 0
   *         for i in range(nr):
   *             total += vec[i] ** 2             # <<<<<<<<<<<<<<
   *         return sqrt(total)
   * 
   */
      __pyx_v_total = (__pyx_v_total + powf(((__pyx_t_5thinc_8typedefs_weight_t)(__pyx_v_vec[__pyx_v_i])), 2.0));
    }
  
    /* "linalg.pxd":67
   *         for i in range(nr):
   *             total += vec[i] ** 2
   *         return sqrt(total)             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
    __pyx_r = sqrt(__pyx_v_total);
    goto __pyx_L0;
  
    /* "linalg.pxd":63
   * 
   *     @staticmethod
   *     cdef inline weight_t norm(const weight_t* vec, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef weight_t total = 0
   *         for i in range(nr):
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "linalg.pxd":70
   * 
   *     @staticmethod
   *     cdef inline void add(weight_t* output, const weight_t* x,             # <<<<<<<<<<<<<<
   *             weight_t inc, int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_add(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_inc, int32_t __pyx_v_nr) {
  
    /* "linalg.pxd":72
   *     cdef inline void add(weight_t* output, const weight_t* x,
   *             weight_t inc, int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)             # <<<<<<<<<<<<<<
   *         Vec.add_i(output, inc, nr)
   * 
   */
    (void)(memcpy(__pyx_v_output, __pyx_v_x, ((sizeof((__pyx_v_output[0]))) * __pyx_v_nr)));
  
    /* "linalg.pxd":73
   *             weight_t inc, int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)
   *         Vec.add_i(output, inc, nr)             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
    __pyx_f_5thinc_6linalg_3Vec_add_i(__pyx_v_output, __pyx_v_inc, __pyx_v_nr);
  
    /* "linalg.pxd":70
   * 
   *     @staticmethod
   *     cdef inline void add(weight_t* output, const weight_t* x,             # <<<<<<<<<<<<<<
   *             weight_t inc, int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":76
   * 
   *     @staticmethod
   *     cdef inline void add_i(weight_t* vec, weight_t inc, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         for i in range(nr):
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_add_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_inc, int32_t __pyx_v_nr) {
    int __pyx_v_i;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int __pyx_t_3;
    int __pyx_t_4;
  
    /* "linalg.pxd":78
   *     cdef inline void add_i(weight_t* vec, weight_t inc, int32_t nr) nogil:
   *         cdef int i
   *         for i in range(nr):             # <<<<<<<<<<<<<<
   *             vec[i] += inc
   * 
   */
    __pyx_t_1 = __pyx_v_nr;
    __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;
  
      /* "linalg.pxd":79
   *         cdef int i
   *         for i in range(nr):
   *             vec[i] += inc             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
      __pyx_t_4 = __pyx_v_i;
      (__pyx_v_vec[__pyx_t_4]) = ((__pyx_v_vec[__pyx_t_4]) + __pyx_v_inc);
    }
  
    /* "linalg.pxd":76
   * 
   *     @staticmethod
   *     cdef inline void add_i(weight_t* vec, weight_t inc, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         for i in range(nr):
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":82
   * 
   *     @staticmethod
   *     cdef inline void mul(weight_t* output, const weight_t* vec, weight_t scal,             # <<<<<<<<<<<<<<
   *             int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_mul(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scal, int32_t __pyx_v_nr) {
  
    /* "linalg.pxd":84
   *     cdef inline void mul(weight_t* output, const weight_t* vec, weight_t scal,
   *             int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)             # <<<<<<<<<<<<<<
   *         Vec.mul_i(output, scal, nr)
   * 
   */
    (void)(memcpy(__pyx_v_output, __pyx_v_vec, ((sizeof((__pyx_v_output[0]))) * __pyx_v_nr)));
  
    /* "linalg.pxd":85
   *             int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)
   *         Vec.mul_i(output, scal, nr)             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
    __pyx_f_5thinc_6linalg_3Vec_mul_i(__pyx_v_output, __pyx_v_scal, __pyx_v_nr);
  
    /* "linalg.pxd":82
   * 
   *     @staticmethod
   *     cdef inline void mul(weight_t* output, const weight_t* vec, weight_t scal,             # <<<<<<<<<<<<<<
   *             int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":88
   * 
   *     @staticmethod
   *     cdef inline void mul_i(weight_t* vec, weight_t scal, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         IF USE_BLAS:
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_mul_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scal, int32_t __pyx_v_nr) {
    int __pyx_v_i;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int __pyx_t_3;
    int __pyx_t_4;
  
    /* "linalg.pxd":93
   *             blis.cy.scalv(BLIS_NO_CONJUGATE, nr, scal, vec, 1)
   *         ELSE:
   *             for i in range(nr):             # <<<<<<<<<<<<<<
   *                 vec[i] *= scal
   * 
   */
    __pyx_t_1 = __pyx_v_nr;
    __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;
  
      /* "linalg.pxd":94
   *         ELSE:
   *             for i in range(nr):
   *                 vec[i] *= scal             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
      __pyx_t_4 = __pyx_v_i;
      (__pyx_v_vec[__pyx_t_4]) = ((__pyx_v_vec[__pyx_t_4]) * __pyx_v_scal);
    }
  
    /* "linalg.pxd":88
   * 
   *     @staticmethod
   *     cdef inline void mul_i(weight_t* vec, weight_t scal, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         IF USE_BLAS:
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":97
   * 
   *     @staticmethod
   *     cdef inline void pow(weight_t* output, const weight_t* vec, weight_t scal,             # <<<<<<<<<<<<<<
   *             int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_pow(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scal, int32_t __pyx_v_nr) {
  
    /* "linalg.pxd":99
   *     cdef inline void pow(weight_t* output, const weight_t* vec, weight_t scal,
   *             int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)             # <<<<<<<<<<<<<<
   *         Vec.pow_i(output, scal, nr)
   * 
   */
    (void)(memcpy(__pyx_v_output, __pyx_v_vec, ((sizeof((__pyx_v_output[0]))) * __pyx_v_nr)));
  
    /* "linalg.pxd":100
   *             int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)
   *         Vec.pow_i(output, scal, nr)             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
    __pyx_f_5thinc_6linalg_3Vec_pow_i(__pyx_v_output, __pyx_v_scal, __pyx_v_nr);
  
    /* "linalg.pxd":97
   * 
   *     @staticmethod
   *     cdef inline void pow(weight_t* output, const weight_t* vec, weight_t scal,             # <<<<<<<<<<<<<<
   *             int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":103
   * 
   *     @staticmethod
   *     cdef inline void pow_i(weight_t* vec, const weight_t scal, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         for i in range(nr):
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_pow_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t const __pyx_v_scal, int32_t __pyx_v_nr) {
    int __pyx_v_i;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int __pyx_t_3;
    int __pyx_t_4;
  
    /* "linalg.pxd":105
   *     cdef inline void pow_i(weight_t* vec, const weight_t scal, int32_t nr) nogil:
   *         cdef int i
   *         for i in range(nr):             # <<<<<<<<<<<<<<
   *             vec[i] **= scal
   * 
   */
    __pyx_t_1 = __pyx_v_nr;
    __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;
  
      /* "linalg.pxd":106
   *         cdef int i
   *         for i in range(nr):
   *             vec[i] **= scal             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
      __pyx_t_4 = __pyx_v_i;
      (__pyx_v_vec[__pyx_t_4]) = powf((__pyx_v_vec[__pyx_t_4]), ((__pyx_t_5thinc_8typedefs_weight_t)__pyx_v_scal));
    }
  
    /* "linalg.pxd":103
   * 
   *     @staticmethod
   *     cdef inline void pow_i(weight_t* vec, const weight_t scal, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         for i in range(nr):
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":110
   *     @staticmethod
   *     @cython.cdivision(True)
   *     cdef inline void div(weight_t* output, const weight_t* vec, weight_t scal,             # <<<<<<<<<<<<<<
   *             int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_div(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scal, int32_t __pyx_v_nr) {
  
    /* "linalg.pxd":112
   *     cdef inline void div(weight_t* output, const weight_t* vec, weight_t scal,
   *             int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)             # <<<<<<<<<<<<<<
   *         Vec.div_i(output, scal, nr)
   * 
   */
    (void)(memcpy(__pyx_v_output, __pyx_v_vec, ((sizeof((__pyx_v_output[0]))) * __pyx_v_nr)));
  
    /* "linalg.pxd":113
   *             int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)
   *         Vec.div_i(output, scal, nr)             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
    __pyx_f_5thinc_6linalg_3Vec_div_i(__pyx_v_output, __pyx_v_scal, __pyx_v_nr);
  
    /* "linalg.pxd":110
   *     @staticmethod
   *     @cython.cdivision(True)
   *     cdef inline void div(weight_t* output, const weight_t* vec, weight_t scal,             # <<<<<<<<<<<<<<
   *             int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":117
   *     @staticmethod
   *     @cython.cdivision(True)
   *     cdef inline void div_i(weight_t* vec, const weight_t scal, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         for i in range(nr):
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_div_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_vec, __pyx_t_5thinc_8typedefs_weight_t const __pyx_v_scal, int32_t __pyx_v_nr) {
    int __pyx_v_i;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int __pyx_t_3;
    int __pyx_t_4;
  
    /* "linalg.pxd":119
   *     cdef inline void div_i(weight_t* vec, const weight_t scal, int32_t nr) nogil:
   *         cdef int i
   *         for i in range(nr):             # <<<<<<<<<<<<<<
   *             vec[i] /= scal
   * 
   */
    __pyx_t_1 = __pyx_v_nr;
    __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;
  
      /* "linalg.pxd":120
   *         cdef int i
   *         for i in range(nr):
   *             vec[i] /= scal             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
      __pyx_t_4 = __pyx_v_i;
      (__pyx_v_vec[__pyx_t_4]) = ((__pyx_v_vec[__pyx_t_4]) / __pyx_v_scal);
    }
  
    /* "linalg.pxd":117
   *     @staticmethod
   *     @cython.cdivision(True)
   *     cdef inline void div_i(weight_t* vec, const weight_t scal, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         for i in range(nr):
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":123
   * 
   *     @staticmethod
   *     cdef inline void exp(weight_t* output, const weight_t* vec, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         memcpy(output, vec, sizeof(output[0]) * nr)
   *         Vec.exp_i(output, nr)
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_exp(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_vec, int32_t __pyx_v_nr) {
  
    /* "linalg.pxd":124
   *     @staticmethod
   *     cdef inline void exp(weight_t* output, const weight_t* vec, int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)             # <<<<<<<<<<<<<<
   *         Vec.exp_i(output, nr)
   * 
   */
    (void)(memcpy(__pyx_v_output, __pyx_v_vec, ((sizeof((__pyx_v_output[0]))) * __pyx_v_nr)));
  
    /* "linalg.pxd":125
   *     cdef inline void exp(weight_t* output, const weight_t* vec, int32_t nr) nogil:
   *         memcpy(output, vec, sizeof(output[0]) * nr)
   *         Vec.exp_i(output, nr)             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
    __pyx_f_5thinc_6linalg_3Vec_exp_i(__pyx_v_output, __pyx_v_nr);
  
    /* "linalg.pxd":123
   * 
   *     @staticmethod
   *     cdef inline void exp(weight_t* output, const weight_t* vec, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         memcpy(output, vec, sizeof(output[0]) * nr)
   *         Vec.exp_i(output, nr)
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":128
   * 
   *     @staticmethod
   *     cdef inline void exp_i(weight_t* vec, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         for i in range(nr):
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_exp_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_vec, int32_t __pyx_v_nr) {
    int __pyx_v_i;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int __pyx_t_3;
  
    /* "linalg.pxd":130
   *     cdef inline void exp_i(weight_t* vec, int32_t nr) nogil:
   *         cdef int i
   *         for i in range(nr):             # <<<<<<<<<<<<<<
   *             vec[i] = exp(vec[i])
   * 
   */
    __pyx_t_1 = __pyx_v_nr;
    __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;
  
      /* "linalg.pxd":131
   *         cdef int i
   *         for i in range(nr):
   *             vec[i] = exp(vec[i])             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
      (__pyx_v_vec[__pyx_v_i]) = exp((__pyx_v_vec[__pyx_v_i]));
    }
  
    /* "linalg.pxd":128
   * 
   *     @staticmethod
   *     cdef inline void exp_i(weight_t* vec, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         for i in range(nr):
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":134
   * 
   *     @staticmethod
   *     cdef inline void reciprocal_i(weight_t* vec, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         for i in range(nr):
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Vec_reciprocal_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_vec, int32_t __pyx_v_nr) {
    int __pyx_v_i;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int __pyx_t_3;
  
    /* "linalg.pxd":136
   *     cdef inline void reciprocal_i(weight_t* vec, int32_t nr) nogil:
   *         cdef int i
   *         for i in range(nr):             # <<<<<<<<<<<<<<
   *             vec[i] = 1.0 / vec[i]
   * 
   */
    __pyx_t_1 = __pyx_v_nr;
    __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;
  
      /* "linalg.pxd":137
   *         cdef int i
   *         for i in range(nr):
   *             vec[i] = 1.0 / vec[i]             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
      (__pyx_v_vec[__pyx_v_i]) = (1.0 / (__pyx_v_vec[__pyx_v_i]));
    }
  
    /* "linalg.pxd":134
   * 
   *     @staticmethod
   *     cdef inline void reciprocal_i(weight_t* vec, int32_t nr) nogil:             # <<<<<<<<<<<<<<
   *         cdef int i
   *         for i in range(nr):
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":140
   * 
   *     @staticmethod
   *     cdef inline weight_t mean(const weight_t* X, int32_t nr_dim) nogil:             # <<<<<<<<<<<<<<
   *         cdef weight_t mean = 0.
   *         for x in X[:nr_dim]:
   */
  
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_3Vec_mean(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_X, int32_t __pyx_v_nr_dim) {
    __pyx_t_5thinc_8typedefs_weight_t __pyx_v_mean;
    __pyx_t_5thinc_8typedefs_weight_t __pyx_v_x;
    __pyx_t_5thinc_8typedefs_weight_t __pyx_r;
    __pyx_t_5thinc_8typedefs_weight_t const *__pyx_t_1;
    __pyx_t_5thinc_8typedefs_weight_t const *__pyx_t_2;
    __pyx_t_5thinc_8typedefs_weight_t const *__pyx_t_3;
  
    /* "linalg.pxd":141
   *     @staticmethod
   *     cdef inline weight_t mean(const weight_t* X, int32_t nr_dim) nogil:
   *         cdef weight_t mean = 0.             # <<<<<<<<<<<<<<
   *         for x in X[:nr_dim]:
   *             mean += x
   */
    __pyx_v_mean = 0.;
  
    /* "linalg.pxd":142
   *     cdef inline weight_t mean(const weight_t* X, int32_t nr_dim) nogil:
   *         cdef weight_t mean = 0.
   *         for x in X[:nr_dim]:             # <<<<<<<<<<<<<<
   *             mean += x
   *         return mean / nr_dim
   */
    __pyx_t_2 = (__pyx_v_X + __pyx_v_nr_dim);
    for (__pyx_t_3 = __pyx_v_X; __pyx_t_3 < __pyx_t_2; __pyx_t_3++) {
      __pyx_t_1 = __pyx_t_3;
      __pyx_v_x = (__pyx_t_1[0]);
  
      /* "linalg.pxd":143
   *         cdef weight_t mean = 0.
   *         for x in X[:nr_dim]:
   *             mean += x             # <<<<<<<<<<<<<<
   *         return mean / nr_dim
   * 
   */
      __pyx_v_mean = (__pyx_v_mean + __pyx_v_x);
    }
  
    /* "linalg.pxd":144
   *         for x in X[:nr_dim]:
   *             mean += x
   *         return mean / nr_dim             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
    __pyx_r = (__pyx_v_mean / __pyx_v_nr_dim);
    goto __pyx_L0;
  
    /* "linalg.pxd":140
   * 
   *     @staticmethod
   *     cdef inline weight_t mean(const weight_t* X, int32_t nr_dim) nogil:             # <<<<<<<<<<<<<<
   *         cdef weight_t mean = 0.
   *         for x in X[:nr_dim]:
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "linalg.pxd":147
   * 
   *     @staticmethod
   *     cdef inline weight_t variance(const weight_t* X, int32_t nr_dim) nogil:             # <<<<<<<<<<<<<<
   *         # See https://www.johndcook.com/blog/standard_deviation/
   *         cdef double m = X[0]
   */
  
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_3Vec_variance(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_X, int32_t __pyx_v_nr_dim) {
    double __pyx_v_m;
    double __pyx_v_v;
    long __pyx_v_i;
    double __pyx_v_diff;
    __pyx_t_5thinc_8typedefs_weight_t __pyx_r;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    long __pyx_t_3;
  
    /* "linalg.pxd":149
   *     cdef inline weight_t variance(const weight_t* X, int32_t nr_dim) nogil:
   *         # See https://www.johndcook.com/blog/standard_deviation/
   *         cdef double m = X[0]             # <<<<<<<<<<<<<<
   *         cdef double v = 0.
   *         for i in range(1, nr_dim):
   */
    __pyx_v_m = (__pyx_v_X[0]);
  
    /* "linalg.pxd":150
   *         # See https://www.johndcook.com/blog/standard_deviation/
   *         cdef double m = X[0]
   *         cdef double v = 0.             # <<<<<<<<<<<<<<
   *         for i in range(1, nr_dim):
   *             diff = X[i]-m
   */
    __pyx_v_v = 0.;
  
    /* "linalg.pxd":151
   *         cdef double m = X[0]
   *         cdef double v = 0.
   *         for i in range(1, nr_dim):             # <<<<<<<<<<<<<<
   *             diff = X[i]-m
   *             m += diff / (i+1)
   */
    __pyx_t_1 = __pyx_v_nr_dim;
    __pyx_t_2 = __pyx_t_1;
    for (__pyx_t_3 = 1; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_i = __pyx_t_3;
  
      /* "linalg.pxd":152
   *         cdef double v = 0.
   *         for i in range(1, nr_dim):
   *             diff = X[i]-m             # <<<<<<<<<<<<<<
   *             m += diff / (i+1)
   *             v += diff * (X[i] - m)
   */
      __pyx_v_diff = ((__pyx_v_X[__pyx_v_i]) - __pyx_v_m);
  
      /* "linalg.pxd":153
   *         for i in range(1, nr_dim):
   *             diff = X[i]-m
   *             m += diff / (i+1)             # <<<<<<<<<<<<<<
   *             v += diff * (X[i] - m)
   *         return v / nr_dim
   */
      __pyx_v_m = (__pyx_v_m + (__pyx_v_diff / (__pyx_v_i + 1)));
  
      /* "linalg.pxd":154
   *             diff = X[i]-m
   *             m += diff / (i+1)
   *             v += diff * (X[i] - m)             # <<<<<<<<<<<<<<
   *         return v / nr_dim
   * 
   */
      __pyx_v_v = (__pyx_v_v + (__pyx_v_diff * ((__pyx_v_X[__pyx_v_i]) - __pyx_v_m)));
    }
  
    /* "linalg.pxd":155
   *             m += diff / (i+1)
   *             v += diff * (X[i] - m)
   *         return v / nr_dim             # <<<<<<<<<<<<<<
   * 
   * 
   */
    __pyx_r = (__pyx_v_v / __pyx_v_nr_dim);
    goto __pyx_L0;
  
    /* "linalg.pxd":147
   * 
   *     @staticmethod
   *     cdef inline weight_t variance(const weight_t* X, int32_t nr_dim) nogil:             # <<<<<<<<<<<<<<
   *         # See https://www.johndcook.com/blog/standard_deviation/
   *         cdef double m = X[0]
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "linalg.pxd":160
   * cdef class VecVec:
   *     @staticmethod
   *     cdef inline void add(weight_t* output,             # <<<<<<<<<<<<<<
   *                          const weight_t* x,
   *                          const weight_t* y,
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_add(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scale, int32_t __pyx_v_nr) {
  
    /* "linalg.pxd":165
   *                          weight_t scale,
   *                          int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)             # <<<<<<<<<<<<<<
   *         VecVec.add_i(output, y, scale, nr)
   * 
   */
    (void)(memcpy(__pyx_v_output, __pyx_v_x, ((sizeof((__pyx_v_output[0]))) * __pyx_v_nr)));
  
    /* "linalg.pxd":166
   *                          int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)
   *         VecVec.add_i(output, y, scale, nr)             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
    __pyx_f_5thinc_6linalg_6VecVec_add_i(__pyx_v_output, __pyx_v_y, __pyx_v_scale, __pyx_v_nr);
  
    /* "linalg.pxd":160
   * cdef class VecVec:
   *     @staticmethod
   *     cdef inline void add(weight_t* output,             # <<<<<<<<<<<<<<
   *                          const weight_t* x,
   *                          const weight_t* y,
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":169
   * 
   *     @staticmethod
   *     cdef inline void add_i(weight_t* x,             # <<<<<<<<<<<<<<
   *                            const weight_t* y,
   *                            weight_t scale,
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_add_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scale, int32_t __pyx_v_nr) {
    int __pyx_v_i;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int __pyx_t_3;
    int __pyx_t_4;
  
    /* "linalg.pxd":177
   *             blis.cy.axpyv(BLIS_NO_CONJUGATE, nr, scale, y, 1, x, 1)
   *         ELSE:
   *             for i in range(nr):             # <<<<<<<<<<<<<<
   *                 x[i] += y[i] * scale
   * 
   */
    __pyx_t_1 = __pyx_v_nr;
    __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;
  
      /* "linalg.pxd":178
   *         ELSE:
   *             for i in range(nr):
   *                 x[i] += y[i] * scale             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
      __pyx_t_4 = __pyx_v_i;
      (__pyx_v_x[__pyx_t_4]) = ((__pyx_v_x[__pyx_t_4]) + ((__pyx_v_y[__pyx_v_i]) * __pyx_v_scale));
    }
  
    /* "linalg.pxd":169
   * 
   *     @staticmethod
   *     cdef inline void add_i(weight_t* x,             # <<<<<<<<<<<<<<
   *                            const weight_t* y,
   *                            weight_t scale,
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":181
   * 
   *     @staticmethod
   *     cdef inline void batch_add_i(weight_t* x,             # <<<<<<<<<<<<<<
   *                            const weight_t* y,
   *                            weight_t scale,
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_batch_add_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_scale, int32_t __pyx_v_nr, int32_t __pyx_v_nr_batch) {
    CYTHON_UNUSED int __pyx_v__;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int __pyx_t_3;
  
    /* "linalg.pxd":187
   *         # For fixed x, matrix of y
   *         cdef int i, _
   *         for _ in range(nr_batch):             # <<<<<<<<<<<<<<
   *             VecVec.add_i(x,
   *                 y, scale, nr)
   */
    __pyx_t_1 = __pyx_v_nr_batch;
    __pyx_t_2 = __pyx_t_1;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v__ = __pyx_t_3;
  
      /* "linalg.pxd":188
   *         cdef int i, _
   *         for _ in range(nr_batch):
   *             VecVec.add_i(x,             # <<<<<<<<<<<<<<
   *                 y, scale, nr)
   *             y += nr
   */
      __pyx_f_5thinc_6linalg_6VecVec_add_i(__pyx_v_x, __pyx_v_y, __pyx_v_scale, __pyx_v_nr);
  
      /* "linalg.pxd":190
   *             VecVec.add_i(x,
   *                 y, scale, nr)
   *             y += nr             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
      __pyx_v_y = (__pyx_v_y + __pyx_v_nr);
    }
  
    /* "linalg.pxd":181
   * 
   *     @staticmethod
   *     cdef inline void batch_add_i(weight_t* x,             # <<<<<<<<<<<<<<
   *                            const weight_t* y,
   *                            weight_t scale,
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":193
   * 
   *     @staticmethod
   *     cdef inline void add_pow(weight_t* output,             # <<<<<<<<<<<<<<
   *             const weight_t* x, const weight_t* y, weight_t power, int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_add_pow(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_power, int32_t __pyx_v_nr) {
  
    /* "linalg.pxd":195
   *     cdef inline void add_pow(weight_t* output,
   *             const weight_t* x, const weight_t* y, weight_t power, int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)             # <<<<<<<<<<<<<<
   *         VecVec.add_pow_i(output, y, power, nr)
   * 
   */
    (void)(memcpy(__pyx_v_output, __pyx_v_x, ((sizeof((__pyx_v_output[0]))) * __pyx_v_nr)));
  
    /* "linalg.pxd":196
   *             const weight_t* x, const weight_t* y, weight_t power, int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)
   *         VecVec.add_pow_i(output, y, power, nr)             # <<<<<<<<<<<<<<
   * 
   * 
   */
    __pyx_f_5thinc_6linalg_6VecVec_add_pow_i(__pyx_v_output, __pyx_v_y, __pyx_v_power, __pyx_v_nr);
  
    /* "linalg.pxd":193
   * 
   *     @staticmethod
   *     cdef inline void add_pow(weight_t* output,             # <<<<<<<<<<<<<<
   *             const weight_t* x, const weight_t* y, weight_t power, int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":200
   * 
   *     @staticmethod
   *     cdef inline void add_pow_i(weight_t* x,             # <<<<<<<<<<<<<<
   *             const weight_t* y, weight_t power, int32_t nr) nogil:
   *         cdef int i
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_add_pow_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_power, int32_t __pyx_v_nr) {
    int __pyx_v_i;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int __pyx_t_3;
    int __pyx_t_4;
  
    /* "linalg.pxd":203
   *             const weight_t* y, weight_t power, int32_t nr) nogil:
   *         cdef int i
   *         for i in range(nr):             # <<<<<<<<<<<<<<
   *             x[i] += y[i] ** power
   * 
   */
    __pyx_t_1 = __pyx_v_nr;
    __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;
  
      /* "linalg.pxd":204
   *         cdef int i
   *         for i in range(nr):
   *             x[i] += y[i] ** power             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
      __pyx_t_4 = __pyx_v_i;
      (__pyx_v_x[__pyx_t_4]) = ((__pyx_v_x[__pyx_t_4]) + powf(((__pyx_t_5thinc_8typedefs_weight_t)(__pyx_v_y[__pyx_v_i])), __pyx_v_power));
    }
  
    /* "linalg.pxd":200
   * 
   *     @staticmethod
   *     cdef inline void add_pow_i(weight_t* x,             # <<<<<<<<<<<<<<
   *             const weight_t* y, weight_t power, int32_t nr) nogil:
   *         cdef int i
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":207
   * 
   *     @staticmethod
   *     cdef inline void mul(weight_t* output,             # <<<<<<<<<<<<<<
   *             const weight_t* x, const weight_t* y, int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_mul(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_output, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, int32_t __pyx_v_nr) {
  
    /* "linalg.pxd":209
   *     cdef inline void mul(weight_t* output,
   *             const weight_t* x, const weight_t* y, int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)             # <<<<<<<<<<<<<<
   *         VecVec.mul_i(output, y, nr)
   * 
   */
    (void)(memcpy(__pyx_v_output, __pyx_v_x, ((sizeof((__pyx_v_output[0]))) * __pyx_v_nr)));
  
    /* "linalg.pxd":210
   *             const weight_t* x, const weight_t* y, int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)
   *         VecVec.mul_i(output, y, nr)             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
    __pyx_f_5thinc_6linalg_6VecVec_mul_i(__pyx_v_output, __pyx_v_y, __pyx_v_nr);
  
    /* "linalg.pxd":207
   * 
   *     @staticmethod
   *     cdef inline void mul(weight_t* output,             # <<<<<<<<<<<<<<
   *             const weight_t* x, const weight_t* y, int32_t nr) nogil:
   *         memcpy(output, x, sizeof(output[0]) * nr)
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":213
   * 
   *     @staticmethod
   *     cdef inline void mul_i(weight_t* x,             # <<<<<<<<<<<<<<
   *             const weight_t* y, int32_t nr) nogil:
   *         cdef int i
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_6VecVec_mul_i(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, int32_t __pyx_v_nr) {
    int __pyx_v_i;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int __pyx_t_3;
    int __pyx_t_4;
  
    /* "linalg.pxd":216
   *             const weight_t* y, int32_t nr) nogil:
   *         cdef int i
   *         for i in range(nr):             # <<<<<<<<<<<<<<
   *             x[i] *= y[i]
   * 
   */
    __pyx_t_1 = __pyx_v_nr;
    __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;
  
      /* "linalg.pxd":217
   *         cdef int i
   *         for i in range(nr):
   *             x[i] *= y[i]             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
      __pyx_t_4 = __pyx_v_i;
      (__pyx_v_x[__pyx_t_4]) = ((__pyx_v_x[__pyx_t_4]) * (__pyx_v_y[__pyx_v_i]));
    }
  
    /* "linalg.pxd":213
   * 
   *     @staticmethod
   *     cdef inline void mul_i(weight_t* x,             # <<<<<<<<<<<<<<
   *             const weight_t* y, int32_t nr) nogil:
   *         cdef int i
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":220
   * 
   *     @staticmethod
   *     cdef inline weight_t dot(             # <<<<<<<<<<<<<<
   *             const weight_t* x, const weight_t* y, int32_t nr) nogil:
   *         cdef int i
   */
  
  static CYTHON_INLINE __pyx_t_5thinc_8typedefs_weight_t __pyx_f_5thinc_6linalg_6VecVec_dot(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_x, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_y, int32_t __pyx_v_nr) {
    int __pyx_v_i;
    __pyx_t_5thinc_8typedefs_weight_t __pyx_v_total;
    __pyx_t_5thinc_8typedefs_weight_t __pyx_r;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int __pyx_t_3;
  
    /* "linalg.pxd":223
   *             const weight_t* x, const weight_t* y, int32_t nr) nogil:
   *         cdef int i
   *         cdef weight_t total = 0             # <<<<<<<<<<<<<<
   *         for i in range(nr):
   *             total += x[i] * y[i]
   */
    __pyx_v_total = 0.0;
  
    /* "linalg.pxd":224
   *         cdef int i
   *         cdef weight_t total = 0
   *         for i in range(nr):             # <<<<<<<<<<<<<<
   *             total += x[i] * y[i]
   *         return total
   */
    __pyx_t_1 = __pyx_v_nr;
    __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;
  
      /* "linalg.pxd":225
   *         cdef weight_t total = 0
   *         for i in range(nr):
   *             total += x[i] * y[i]             # <<<<<<<<<<<<<<
   *         return total
   * 
   */
      __pyx_v_total = (__pyx_v_total + ((__pyx_v_x[__pyx_v_i]) * (__pyx_v_y[__pyx_v_i])));
    }
  
    /* "linalg.pxd":226
   *         for i in range(nr):
   *             total += x[i] * y[i]
   *         return total             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
    __pyx_r = __pyx_v_total;
    goto __pyx_L0;
  
    /* "linalg.pxd":220
   * 
   *     @staticmethod
   *     cdef inline weight_t dot(             # <<<<<<<<<<<<<<
   *             const weight_t* x, const weight_t* y, int32_t nr) nogil:
   *         cdef int i
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "linalg.pxd":229
   * 
   *     @staticmethod
   *     cdef inline int arg_max_if_true(             # <<<<<<<<<<<<<<
   *             const weight_t* scores, const int* is_valid, const int n_classes) nogil:
   *         cdef int i
   */
  
  static CYTHON_INLINE int __pyx_f_5thinc_6linalg_6VecVec_arg_max_if_true(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_scores, int const *__pyx_v_is_valid, int const __pyx_v_n_classes) {
    int __pyx_v_i;
    int __pyx_v_best;
    int __pyx_r;
    int __pyx_t_1;
    int __pyx_t_2;
    int __pyx_t_3;
    int __pyx_t_4;
    int __pyx_t_5;
  
    /* "linalg.pxd":232
   *             const weight_t* scores, const int* is_valid, const int n_classes) nogil:
   *         cdef int i
   *         cdef int best = -1             # <<<<<<<<<<<<<<
   *         for i in range(n_classes):
   *             if is_valid[i] and (best == -1 or scores[i] > scores[best]):
   */
    __pyx_v_best = -1;
  
    /* "linalg.pxd":233
   *         cdef int i
   *         cdef int best = -1
   *         for i in range(n_classes):             # <<<<<<<<<<<<<<
   *             if is_valid[i] and (best == -1 or scores[i] > scores[best]):
   *                 best = i
   */
    __pyx_t_1 = __pyx_v_n_classes;
    __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;
  
      /* "linalg.pxd":234
   *         cdef int best = -1
   *         for i in range(n_classes):
   *             if is_valid[i] and (best == -1 or scores[i] > scores[best]):             # <<<<<<<<<<<<<<
   *                 best = i
   *         return best
   */
      __pyx_t_5 = ((__pyx_v_is_valid[__pyx_v_i]) != 0);
      if (__pyx_t_5) {
      } else {
        __pyx_t_4 = __pyx_t_5;
        goto __pyx_L6_bool_binop_done;
      }
      __pyx_t_5 = ((__pyx_v_best == -1L) != 0);
      if (!__pyx_t_5) {
      } else {
        __pyx_t_4 = __pyx_t_5;
        goto __pyx_L6_bool_binop_done;
      }
      __pyx_t_5 = (((__pyx_v_scores[__pyx_v_i]) > (__pyx_v_scores[__pyx_v_best])) != 0);
      __pyx_t_4 = __pyx_t_5;
      __pyx_L6_bool_binop_done:;
      if (__pyx_t_4) {
  
        /* "linalg.pxd":235
   *         for i in range(n_classes):
   *             if is_valid[i] and (best == -1 or scores[i] > scores[best]):
   *                 best = i             # <<<<<<<<<<<<<<
   *         return best
   * 
   */
        __pyx_v_best = __pyx_v_i;
  
        /* "linalg.pxd":234
   *         cdef int best = -1
   *         for i in range(n_classes):
   *             if is_valid[i] and (best == -1 or scores[i] > scores[best]):             # <<<<<<<<<<<<<<
   *                 best = i
   *         return best
   */
      }
    }
  
    /* "linalg.pxd":236
   *             if is_valid[i] and (best == -1 or scores[i] > scores[best]):
   *                 best = i
   *         return best             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
    __pyx_r = __pyx_v_best;
    goto __pyx_L0;
  
    /* "linalg.pxd":229
   * 
   *     @staticmethod
   *     cdef inline int arg_max_if_true(             # <<<<<<<<<<<<<<
   *             const weight_t* scores, const int* is_valid, const int n_classes) nogil:
   *         cdef int i
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "linalg.pxd":239
   * 
   *     @staticmethod
   *     cdef inline int arg_max_if_zero(             # <<<<<<<<<<<<<<
   *             const weight_t* scores, const weight_t* costs, const int n_classes) nogil:
   *         cdef int i
   */
  
  static CYTHON_INLINE int __pyx_f_5thinc_6linalg_6VecVec_arg_max_if_zero(__pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_scores, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_costs, int const __pyx_v_n_classes) {
    int __pyx_v_i;
    int __pyx_v_best;
    int __pyx_r;
    int __pyx_t_1;
    int __pyx_t_2;
    int __pyx_t_3;
    int __pyx_t_4;
    int __pyx_t_5;
  
    /* "linalg.pxd":242
   *             const weight_t* scores, const weight_t* costs, const int n_classes) nogil:
   *         cdef int i
   *         cdef int best = -1             # <<<<<<<<<<<<<<
   *         for i in range(n_classes):
   *             if costs[i] == 0 and (best == -1 or scores[i] > scores[best]):
   */
    __pyx_v_best = -1;
  
    /* "linalg.pxd":243
   *         cdef int i
   *         cdef int best = -1
   *         for i in range(n_classes):             # <<<<<<<<<<<<<<
   *             if costs[i] == 0 and (best == -1 or scores[i] > scores[best]):
   *                 best = i
   */
    __pyx_t_1 = __pyx_v_n_classes;
    __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;
  
      /* "linalg.pxd":244
   *         cdef int best = -1
   *         for i in range(n_classes):
   *             if costs[i] == 0 and (best == -1 or scores[i] > scores[best]):             # <<<<<<<<<<<<<<
   *                 best = i
   *         return best
   */
      __pyx_t_5 = (((__pyx_v_costs[__pyx_v_i]) == 0.0) != 0);
      if (__pyx_t_5) {
      } else {
        __pyx_t_4 = __pyx_t_5;
        goto __pyx_L6_bool_binop_done;
      }
      __pyx_t_5 = ((__pyx_v_best == -1L) != 0);
      if (!__pyx_t_5) {
      } else {
        __pyx_t_4 = __pyx_t_5;
        goto __pyx_L6_bool_binop_done;
      }
      __pyx_t_5 = (((__pyx_v_scores[__pyx_v_i]) > (__pyx_v_scores[__pyx_v_best])) != 0);
      __pyx_t_4 = __pyx_t_5;
      __pyx_L6_bool_binop_done:;
      if (__pyx_t_4) {
  
        /* "linalg.pxd":245
   *         for i in range(n_classes):
   *             if costs[i] == 0 and (best == -1 or scores[i] > scores[best]):
   *                 best = i             # <<<<<<<<<<<<<<
   *         return best
   * 
   */
        __pyx_v_best = __pyx_v_i;
  
        /* "linalg.pxd":244
   *         cdef int best = -1
   *         for i in range(n_classes):
   *             if costs[i] == 0 and (best == -1 or scores[i] > scores[best]):             # <<<<<<<<<<<<<<
   *                 best = i
   *         return best
   */
      }
    }
  
    /* "linalg.pxd":246
   *             if costs[i] == 0 and (best == -1 or scores[i] > scores[best]):
   *                 best = i
   *         return best             # <<<<<<<<<<<<<<
   * 
   * 
   */
    __pyx_r = __pyx_v_best;
    goto __pyx_L0;
  
    /* "linalg.pxd":239
   * 
   *     @staticmethod
   *     cdef inline int arg_max_if_zero(             # <<<<<<<<<<<<<<
   *             const weight_t* scores, const weight_t* costs, const int n_classes) nogil:
   *         cdef int i
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "linalg.pxd":251
   * cdef class Mat:
   *     @staticmethod
   *     cdef inline void mean_row(weight_t* Ex,             # <<<<<<<<<<<<<<
   *             const weight_t* mat, int32_t nr_row, int32_t nr_col) nogil:
   *         memset(Ex, 0, sizeof(Ex[0]) * nr_col)
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Mat_mean_row(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_Ex, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_mat, int32_t __pyx_v_nr_row, int32_t __pyx_v_nr_col) {
    int32_t __pyx_v_i;
    int32_t __pyx_t_1;
    int32_t __pyx_t_2;
    int32_t __pyx_t_3;
  
    /* "linalg.pxd":253
   *     cdef inline void mean_row(weight_t* Ex,
   *             const weight_t* mat, int32_t nr_row, int32_t nr_col) nogil:
   *         memset(Ex, 0, sizeof(Ex[0]) * nr_col)             # <<<<<<<<<<<<<<
   *         for i in range(nr_row):
   *             VecVec.add_i(Ex, &mat[i * nr_col], 1.0, nr_col)
   */
    (void)(memset(__pyx_v_Ex, 0, ((sizeof((__pyx_v_Ex[0]))) * __pyx_v_nr_col)));
  
    /* "linalg.pxd":254
   *             const weight_t* mat, int32_t nr_row, int32_t nr_col) nogil:
   *         memset(Ex, 0, sizeof(Ex[0]) * nr_col)
   *         for i in range(nr_row):             # <<<<<<<<<<<<<<
   *             VecVec.add_i(Ex, &mat[i * nr_col], 1.0, nr_col)
   *         Vec.mul_i(Ex, 1.0 / nr_row, nr_col)
   */
    __pyx_t_1 = __pyx_v_nr_row;
    __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;
  
      /* "linalg.pxd":255
   *         memset(Ex, 0, sizeof(Ex[0]) * nr_col)
   *         for i in range(nr_row):
   *             VecVec.add_i(Ex, &mat[i * nr_col], 1.0, nr_col)             # <<<<<<<<<<<<<<
   *         Vec.mul_i(Ex, 1.0 / nr_row, nr_col)
   * 
   */
      __pyx_f_5thinc_6linalg_6VecVec_add_i(__pyx_v_Ex, (&(__pyx_v_mat[(__pyx_v_i * __pyx_v_nr_col)])), 1.0, __pyx_v_nr_col);
    }
  
    /* "linalg.pxd":256
   *         for i in range(nr_row):
   *             VecVec.add_i(Ex, &mat[i * nr_col], 1.0, nr_col)
   *         Vec.mul_i(Ex, 1.0 / nr_row, nr_col)             # <<<<<<<<<<<<<<
   * 
   *     @staticmethod
   */
    __pyx_f_5thinc_6linalg_3Vec_mul_i(__pyx_v_Ex, (1.0 / __pyx_v_nr_row), __pyx_v_nr_col);
  
    /* "linalg.pxd":251
   * cdef class Mat:
   *     @staticmethod
   *     cdef inline void mean_row(weight_t* Ex,             # <<<<<<<<<<<<<<
   *             const weight_t* mat, int32_t nr_row, int32_t nr_col) nogil:
   *         memset(Ex, 0, sizeof(Ex[0]) * nr_col)
   */
  
    /* function exit code */
  }
  
  /* "linalg.pxd":259
   * 
   *     @staticmethod
   *     cdef inline void var_row(weight_t* Vx,             # <<<<<<<<<<<<<<
   *             const weight_t* mat, const weight_t* Ex,
   *             int32_t nr_row, int32_t nr_col, weight_t eps) nogil:
   */
  
  static CYTHON_INLINE void __pyx_f_5thinc_6linalg_3Mat_var_row(__pyx_t_5thinc_8typedefs_weight_t *__pyx_v_Vx, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_mat, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_Ex, int32_t __pyx_v_nr_row, int32_t __pyx_v_nr_col, __pyx_t_5thinc_8typedefs_weight_t __pyx_v_eps) {
    __pyx_t_5thinc_8typedefs_weight_t __pyx_v_sum_;
    __pyx_t_5thinc_8typedefs_weight_t __pyx_v_sum2;
    int32_t __pyx_v_i;
    int32_t __pyx_v_j;
    __pyx_t_5thinc_8typedefs_weight_t __pyx_v_x;
    int __pyx_t_1;
    int __pyx_t_2;
    int32_t __pyx_t_3;
    int32_t __pyx_t_4;
    int32_t __pyx_t_5;
    int32_t __pyx_t_6;
    int32_t __pyx_t_7;
    int32_t __pyx_t_8;
  
    /* "linalg.pxd":263
   *             int32_t nr_row, int32_t nr_col, weight_t eps) nogil:
   *         # From https://en.wikipedia.org/wiki/Algorithms_for_calculating_variance
   *         if nr_row == 0 or nr_col == 0:             # <<<<<<<<<<<<<<
   *             return
   *         cdef weight_t sum_, sum2
   */
    __pyx_t_2 = ((__pyx_v_nr_row == 0) != 0);
    if (!__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L4_bool_binop_done;
    }
    __pyx_t_2 = ((__pyx_v_nr_col == 0) != 0);
    __pyx_t_1 = __pyx_t_2;
    __pyx_L4_bool_binop_done:;
    if (__pyx_t_1) {
  
      /* "linalg.pxd":264
   *         # From https://en.wikipedia.org/wiki/Algorithms_for_calculating_variance
   *         if nr_row == 0 or nr_col == 0:
   *             return             # <<<<<<<<<<<<<<
   *         cdef weight_t sum_, sum2
   *         for i in range(nr_col):
   */
      goto __pyx_L0;
  
      /* "linalg.pxd":263
   *             int32_t nr_row, int32_t nr_col, weight_t eps) nogil:
   *         # From https://en.wikipedia.org/wiki/Algorithms_for_calculating_variance
   *         if nr_row == 0 or nr_col == 0:             # <<<<<<<<<<<<<<
   *             return
   *         cdef weight_t sum_, sum2
   */
    }
  
    /* "linalg.pxd":266
   *             return
   *         cdef weight_t sum_, sum2
   *         for i in range(nr_col):             # <<<<<<<<<<<<<<
   *             sum_ = 0.0
   *             sum2 = 0.0
   */
    __pyx_t_3 = __pyx_v_nr_col;
    __pyx_t_4 = __pyx_t_3;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_i = __pyx_t_5;
  
      /* "linalg.pxd":267
   *         cdef weight_t sum_, sum2
   *         for i in range(nr_col):
   *             sum_ = 0.0             # <<<<<<<<<<<<<<
   *             sum2 = 0.0
   *             for j in range(nr_row):
   */
      __pyx_v_sum_ = 0.0;
  
      /* "linalg.pxd":268
   *         for i in range(nr_col):
   *             sum_ = 0.0
   *             sum2 = 0.0             # <<<<<<<<<<<<<<
   *             for j in range(nr_row):
   *                 x = mat[j * nr_col + i]
   */
      __pyx_v_sum2 = 0.0;
  
      /* "linalg.pxd":269
   *             sum_ = 0.0
   *             sum2 = 0.0
   *             for j in range(nr_row):             # <<<<<<<<<<<<<<
   *                 x = mat[j * nr_col + i]
   *                 sum2 += (x - Ex[i]) ** 2
   */
      __pyx_t_6 = __pyx_v_nr_row;
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = 0; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_j = __pyx_t_8;
  
        /* "linalg.pxd":270
   *             sum2 = 0.0
   *             for j in range(nr_row):
   *                 x = mat[j * nr_col + i]             # <<<<<<<<<<<<<<
   *                 sum2 += (x - Ex[i]) ** 2
   *                 sum_ += x - Ex[i]
   */
        __pyx_v_x = (__pyx_v_mat[((__pyx_v_j * __pyx_v_nr_col) + __pyx_v_i)]);
  
        /* "linalg.pxd":271
   *             for j in range(nr_row):
   *                 x = mat[j * nr_col + i]
   *                 sum2 += (x - Ex[i]) ** 2             # <<<<<<<<<<<<<<
   *                 sum_ += x - Ex[i]
   *             Vx[i] = (sum2 - sum_**2 / nr_row) / nr_row
   */
        __pyx_v_sum2 = (__pyx_v_sum2 + powf((__pyx_v_x - (__pyx_v_Ex[__pyx_v_i])), 2.0));
  
        /* "linalg.pxd":272
   *                 x = mat[j * nr_col + i]
   *                 sum2 += (x - Ex[i]) ** 2
   *                 sum_ += x - Ex[i]             # <<<<<<<<<<<<<<
   *             Vx[i] = (sum2 - sum_**2 / nr_row) / nr_row
   *             Vx[i] += eps
   */
        __pyx_v_sum_ = (__pyx_v_sum_ + (__pyx_v_x - (__pyx_v_Ex[__pyx_v_i])));
      }
  
      /* "linalg.pxd":273
   *                 sum2 += (x - Ex[i]) ** 2
   *                 sum_ += x - Ex[i]
   *             Vx[i] = (sum2 - sum_**2 / nr_row) / nr_row             # <<<<<<<<<<<<<<
   *             Vx[i] += eps
   */
      (__pyx_v_Vx[__pyx_v_i]) = ((__pyx_v_sum2 - (powf(__pyx_v_sum_, 2.0) / __pyx_v_nr_row)) / __pyx_v_nr_row);
  
      /* "linalg.pxd":274
   *                 sum_ += x - Ex[i]
   *             Vx[i] = (sum2 - sum_**2 / nr_row) / nr_row
   *             Vx[i] += eps             # <<<<<<<<<<<<<<
   */
      __pyx_t_6 = __pyx_v_i;
      (__pyx_v_Vx[__pyx_t_6]) = ((__pyx_v_Vx[__pyx_t_6]) + __pyx_v_eps);
    }
  
    /* "linalg.pxd":259
   * 
   *     @staticmethod
   *     cdef inline void var_row(weight_t* Vx,             # <<<<<<<<<<<<<<
   *             const weight_t* mat, const weight_t* Ex,
   *             int32_t nr_row, int32_t nr_col, weight_t eps) nogil:
   */
  
    /* function exit code */
    __pyx_L0:;
  }
  
  /* "structs.pxd":140
   *     int batch_size
   * 
   *     __init__(len_t* widths, int nr_layer, int batch_size) nogil:             # <<<<<<<<<<<<<<
   *         this.i = 0
   *         this.nr_layer = nr_layer
   */
  
  void __pyx_t_5thinc_7structs_MinibatchC::__pyx_f___init__MinibatchC(__pyx_t_5thinc_8typedefs_len_t *__pyx_v_widths, int __pyx_v_nr_layer, int __pyx_v_batch_size) {
    int __pyx_v_i;
    int __pyx_t_1;
    int __pyx_t_2;
    int __pyx_t_3;
  
    /* "structs.pxd":141
   * 
   *     __init__(len_t* widths, int nr_layer, int batch_size) nogil:
   *         this.i = 0             # <<<<<<<<<<<<<<
   *         this.nr_layer = nr_layer
   *         this.batch_size = batch_size
   */
    this->i = 0;
  
    /* "structs.pxd":142
   *     __init__(len_t* widths, int nr_layer, int batch_size) nogil:
   *         this.i = 0
   *         this.nr_layer = nr_layer             # <<<<<<<<<<<<<<
   *         this.batch_size = batch_size
   *         this.widths = <len_t*>calloc(nr_layer, sizeof(len_t))
   */
    this->nr_layer = __pyx_v_nr_layer;
  
    /* "structs.pxd":143
   *         this.i = 0
   *         this.nr_layer = nr_layer
   *         this.batch_size = batch_size             # <<<<<<<<<<<<<<
   *         this.widths = <len_t*>calloc(nr_layer, sizeof(len_t))
   *         this._fwd = <weight_t**>calloc(nr_layer, sizeof(weight_t*))
   */
    this->batch_size = __pyx_v_batch_size;
  
    /* "structs.pxd":144
   *         this.nr_layer = nr_layer
   *         this.batch_size = batch_size
   *         this.widths = <len_t*>calloc(nr_layer, sizeof(len_t))             # <<<<<<<<<<<<<<
   *         this._fwd = <weight_t**>calloc(nr_layer, sizeof(weight_t*))
   *         this._bwd = <weight_t**>calloc(nr_layer, sizeof(weight_t*))
   */
    this->widths = ((__pyx_t_5thinc_8typedefs_len_t *)calloc(__pyx_v_nr_layer, (sizeof(__pyx_t_5thinc_8typedefs_len_t))));
  
    /* "structs.pxd":145
   *         this.batch_size = batch_size
   *         this.widths = <len_t*>calloc(nr_layer, sizeof(len_t))
   *         this._fwd = <weight_t**>calloc(nr_layer, sizeof(weight_t*))             # <<<<<<<<<<<<<<
   *         this._bwd = <weight_t**>calloc(nr_layer, sizeof(weight_t*))
   *         for i in range(nr_layer):
   */
    this->_fwd = ((__pyx_t_5thinc_8typedefs_weight_t **)calloc(__pyx_v_nr_layer, (sizeof(__pyx_t_5thinc_8typedefs_weight_t *))));
  
    /* "structs.pxd":146
   *         this.widths = <len_t*>calloc(nr_layer, sizeof(len_t))
   *         this._fwd = <weight_t**>calloc(nr_layer, sizeof(weight_t*))
   *         this._bwd = <weight_t**>calloc(nr_layer, sizeof(weight_t*))             # <<<<<<<<<<<<<<
   *         for i in range(nr_layer):
   *             this.widths[i] = widths[i]
   */
    this->_bwd = ((__pyx_t_5thinc_8typedefs_weight_t **)calloc(__pyx_v_nr_layer, (sizeof(__pyx_t_5thinc_8typedefs_weight_t *))));
  
    /* "structs.pxd":147
   *         this._fwd = <weight_t**>calloc(nr_layer, sizeof(weight_t*))
   *         this._bwd = <weight_t**>calloc(nr_layer, sizeof(weight_t*))
   *         for i in range(nr_layer):             # <<<<<<<<<<<<<<
   *             this.widths[i] = widths[i]
   *             this._fwd[i] = <weight_t*>calloc(this.widths[i] * batch_size, sizeof(weight_t))
   */
    __pyx_t_1 = __pyx_v_nr_layer;
    __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;
  
      /* "structs.pxd":148
   *         this._bwd = <weight_t**>calloc(nr_layer, sizeof(weight_t*))
   *         for i in range(nr_layer):
   *             this.widths[i] = widths[i]             # <<<<<<<<<<<<<<
   *             this._fwd[i] = <weight_t*>calloc(this.widths[i] * batch_size, sizeof(weight_t))
   *             this._bwd[i] = <weight_t*>calloc(this.widths[i] * batch_size, sizeof(weight_t))
   */
      (this->widths[__pyx_v_i]) = (__pyx_v_widths[__pyx_v_i]);
  
      /* "structs.pxd":149
   *         for i in range(nr_layer):
   *             this.widths[i] = widths[i]
   *             this._fwd[i] = <weight_t*>calloc(this.widths[i] * batch_size, sizeof(weight_t))             # <<<<<<<<<<<<<<
   *             this._bwd[i] = <weight_t*>calloc(this.widths[i] * batch_size, sizeof(weight_t))
   *         this._feats = <FeatureC**>calloc(batch_size, sizeof(void*))
   */
      (this->_fwd[__pyx_v_i]) = ((__pyx_t_5thinc_8typedefs_weight_t *)calloc(((this->widths[__pyx_v_i]) * __pyx_v_batch_size), (sizeof(__pyx_t_5thinc_8typedefs_weight_t))));
  
      /* "structs.pxd":150
   *             this.widths[i] = widths[i]
   *             this._fwd[i] = <weight_t*>calloc(this.widths[i] * batch_size, sizeof(weight_t))
   *             this._bwd[i] = <weight_t*>calloc(this.widths[i] * batch_size, sizeof(weight_t))             # <<<<<<<<<<<<<<
   *         this._feats = <FeatureC**>calloc(batch_size, sizeof(void*))
   *         this._nr_feat = <len_t*>calloc(batch_size, sizeof(len_t))
   */
      (this->_bwd[__pyx_v_i]) = ((__pyx_t_5thinc_8typedefs_weight_t *)calloc(((this->widths[__pyx_v_i]) * __pyx_v_batch_size), (sizeof(__pyx_t_5thinc_8typedefs_weight_t))));
    }
  
    /* "structs.pxd":151
   *             this._fwd[i] = <weight_t*>calloc(this.widths[i] * batch_size, sizeof(weight_t))
   *             this._bwd[i] = <weight_t*>calloc(this.widths[i] * batch_size, sizeof(weight_t))
   *         this._feats = <FeatureC**>calloc(batch_size, sizeof(void*))             # <<<<<<<<<<<<<<
   *         this._nr_feat = <len_t*>calloc(batch_size, sizeof(len_t))
   *         this._is_valid = <int*>calloc(batch_size * widths[nr_layer-1], sizeof(int))
   */
    this->_feats = ((struct __pyx_t_5thinc_7structs_FeatureC **)calloc(__pyx_v_batch_size, (sizeof(void *))));
  
    /* "structs.pxd":152
   *             this._bwd[i] = <weight_t*>calloc(this.widths[i] * batch_size, sizeof(weight_t))
   *         this._feats = <FeatureC**>calloc(batch_size, sizeof(void*))
   *         this._nr_feat = <len_t*>calloc(batch_size, sizeof(len_t))             # <<<<<<<<<<<<<<
   *         this._is_valid = <int*>calloc(batch_size * widths[nr_layer-1], sizeof(int))
   *         this._costs = <weight_t*>calloc(batch_size * widths[nr_layer-1], sizeof(weight_t))
   */
    this->_nr_feat = ((__pyx_t_5thinc_8typedefs_len_t *)calloc(__pyx_v_batch_size, (sizeof(__pyx_t_5thinc_8typedefs_len_t))));
  
    /* "structs.pxd":153
   *         this._feats = <FeatureC**>calloc(batch_size, sizeof(void*))
   *         this._nr_feat = <len_t*>calloc(batch_size, sizeof(len_t))
   *         this._is_valid = <int*>calloc(batch_size * widths[nr_layer-1], sizeof(int))             # <<<<<<<<<<<<<<
   *         this._costs = <weight_t*>calloc(batch_size * widths[nr_layer-1], sizeof(weight_t))
   *         this.signatures = <uint64_t*>calloc(batch_size, sizeof(uint64_t))
   */
    this->_is_valid = ((int *)calloc((__pyx_v_batch_size * (__pyx_v_widths[(__pyx_v_nr_layer - 1)])), (sizeof(int))));
  
    /* "structs.pxd":154
   *         this._nr_feat = <len_t*>calloc(batch_size, sizeof(len_t))
   *         this._is_valid = <int*>calloc(batch_size * widths[nr_layer-1], sizeof(int))
   *         this._costs = <weight_t*>calloc(batch_size * widths[nr_layer-1], sizeof(weight_t))             # <<<<<<<<<<<<<<
   *         this.signatures = <uint64_t*>calloc(batch_size, sizeof(uint64_t))
   * 
   */
    this->_costs = ((__pyx_t_5thinc_8typedefs_weight_t *)calloc((__pyx_v_batch_size * (__pyx_v_widths[(__pyx_v_nr_layer - 1)])), (sizeof(__pyx_t_5thinc_8typedefs_weight_t))));
  
    /* "structs.pxd":155
   *         this._is_valid = <int*>calloc(batch_size * widths[nr_layer-1], sizeof(int))
   *         this._costs = <weight_t*>calloc(batch_size * widths[nr_layer-1], sizeof(weight_t))
   *         this.signatures = <uint64_t*>calloc(batch_size, sizeof(uint64_t))             # <<<<<<<<<<<<<<
   * 
   *     __dealloc__() nogil:
   */
    this->signatures = ((uint64_t *)calloc(__pyx_v_batch_size, (sizeof(uint64_t))));
  
    /* "structs.pxd":140
   *     int batch_size
   * 
   *     __init__(len_t* widths, int nr_layer, int batch_size) nogil:             # <<<<<<<<<<<<<<
   *         this.i = 0
   *         this.nr_layer = nr_layer
   */
  
    /* function exit code */
  }
  
  /* "structs.pxd":157
   *         this.signatures = <uint64_t*>calloc(batch_size, sizeof(uint64_t))
   * 
   *     __dealloc__() nogil:             # <<<<<<<<<<<<<<
   *         free(this.widths)
   *         for i in range(this.nr_layer):
   */
  
  void __pyx_t_5thinc_7structs_MinibatchC::__pyx_f___dealloc__MinibatchC(void) {
    int __pyx_v_i;
    int __pyx_t_1;
    int __pyx_t_2;
    int __pyx_t_3;
  
    /* "structs.pxd":158
   * 
   *     __dealloc__() nogil:
   *         free(this.widths)             # <<<<<<<<<<<<<<
   *         for i in range(this.nr_layer):
   *             free(this._fwd[i])
   */
    free(this->widths);
  
    /* "structs.pxd":159
   *     __dealloc__() nogil:
   *         free(this.widths)
   *         for i in range(this.nr_layer):             # <<<<<<<<<<<<<<
   *             free(this._fwd[i])
   *             free(this._bwd[i])
   */
    __pyx_t_1 = this->nr_layer;
    __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;
  
      /* "structs.pxd":160
   *         free(this.widths)
   *         for i in range(this.nr_layer):
   *             free(this._fwd[i])             # <<<<<<<<<<<<<<
   *             free(this._bwd[i])
   *         for i in range(this.i):
   */
      free((this->_fwd[__pyx_v_i]));
  
      /* "structs.pxd":161
   *         for i in range(this.nr_layer):
   *             free(this._fwd[i])
   *             free(this._bwd[i])             # <<<<<<<<<<<<<<
   *         for i in range(this.i):
   *             free(this._feats[i])
   */
      free((this->_bwd[__pyx_v_i]));
    }
  
    /* "structs.pxd":162
   *             free(this._fwd[i])
   *             free(this._bwd[i])
   *         for i in range(this.i):             # <<<<<<<<<<<<<<
   *             free(this._feats[i])
   *         free(this._fwd)
   */
    __pyx_t_1 = this->i;
    __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;
  
      /* "structs.pxd":163
   *             free(this._bwd[i])
   *         for i in range(this.i):
   *             free(this._feats[i])             # <<<<<<<<<<<<<<
   *         free(this._fwd)
   *         free(this._bwd)
   */
      free((this->_feats[__pyx_v_i]));
    }
  
    /* "structs.pxd":164
   *         for i in range(this.i):
   *             free(this._feats[i])
   *         free(this._fwd)             # <<<<<<<<<<<<<<
   *         free(this._bwd)
   *         free(this._feats)
   */
    free(this->_fwd);
  
    /* "structs.pxd":165
   *             free(this._feats[i])
   *         free(this._fwd)
   *         free(this._bwd)             # <<<<<<<<<<<<<<
   *         free(this._feats)
   *         free(this._nr_feat)
   */
    free(this->_bwd);
  
    /* "structs.pxd":166
   *         free(this._fwd)
   *         free(this._bwd)
   *         free(this._feats)             # <<<<<<<<<<<<<<
   *         free(this._nr_feat)
   *         free(this._is_valid)
   */
    free(this->_feats);
  
    /* "structs.pxd":167
   *         free(this._bwd)
   *         free(this._feats)
   *         free(this._nr_feat)             # <<<<<<<<<<<<<<
   *         free(this._is_valid)
   *         free(this._costs)
   */
    free(this->_nr_feat);
  
    /* "structs.pxd":168
   *         free(this._feats)
   *         free(this._nr_feat)
   *         free(this._is_valid)             # <<<<<<<<<<<<<<
   *         free(this._costs)
   *         free(this.signatures)
   */
    free(this->_is_valid);
  
    /* "structs.pxd":169
   *         free(this._nr_feat)
   *         free(this._is_valid)
   *         free(this._costs)             # <<<<<<<<<<<<<<
   *         free(this.signatures)
   * 
   */
    free(this->_costs);
  
    /* "structs.pxd":170
   *         free(this._is_valid)
   *         free(this._costs)
   *         free(this.signatures)             # <<<<<<<<<<<<<<
   * 
   *     void reset() nogil:
   */
    free(this->signatures);
  
    /* "structs.pxd":157
   *         this.signatures = <uint64_t*>calloc(batch_size, sizeof(uint64_t))
   * 
   *     __dealloc__() nogil:             # <<<<<<<<<<<<<<
   *         free(this.widths)
   *         for i in range(this.nr_layer):
   */
  
    /* function exit code */
  }
  
  /* "structs.pxd":172
   *         free(this.signatures)
   * 
   *     void reset() nogil:             # <<<<<<<<<<<<<<
   *         for i in range(this.nr_layer):
   *             memset(this._fwd[i],
   */
  
  void __pyx_t_5thinc_7structs_MinibatchC::reset(void) {
    int __pyx_v_i;
    int __pyx_t_1;
    int __pyx_t_2;
    int __pyx_t_3;
  
    /* "structs.pxd":173
   * 
   *     void reset() nogil:
   *         for i in range(this.nr_layer):             # <<<<<<<<<<<<<<
   *             memset(this._fwd[i],
   *                 0, sizeof(this._fwd[i][0]) * this.batch_size * this.widths[i])
   */
    __pyx_t_1 = this->nr_layer;
    __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;
  
      /* "structs.pxd":174
   *     void reset() nogil:
   *         for i in range(this.nr_layer):
   *             memset(this._fwd[i],             # <<<<<<<<<<<<<<
   *                 0, sizeof(this._fwd[i][0]) * this.batch_size * this.widths[i])
   *             memset(this._bwd[i],
   */
      (void)(memset((this->_fwd[__pyx_v_i]), 0, (((sizeof(((this->_fwd[__pyx_v_i])[0]))) * this->batch_size) * (this->widths[__pyx_v_i]))));
  
      /* "structs.pxd":176
   *             memset(this._fwd[i],
   *                 0, sizeof(this._fwd[i][0]) * this.batch_size * this.widths[i])
   *             memset(this._bwd[i],             # <<<<<<<<<<<<<<
   *                 0, sizeof(this._bwd[i][0]) * this.batch_size * this.widths[i])
   *         memset(this._nr_feat, 0, sizeof(this._nr_feat[0]) * this.batch_size)
   */
      (void)(memset((this->_bwd[__pyx_v_i]), 0, (((sizeof(((this->_bwd[__pyx_v_i])[0]))) * this->batch_size) * (this->widths[__pyx_v_i]))));
    }
  
    /* "structs.pxd":178
   *             memset(this._bwd[i],
   *                 0, sizeof(this._bwd[i][0]) * this.batch_size * this.widths[i])
   *         memset(this._nr_feat, 0, sizeof(this._nr_feat[0]) * this.batch_size)             # <<<<<<<<<<<<<<
   *         memset(this.signatures, 0, sizeof(this.signatures[0]) * this.batch_size)
   *         memset(this._costs,
   */
    (void)(memset(this->_nr_feat, 0, ((sizeof((this->_nr_feat[0]))) * this->batch_size)));
  
    /* "structs.pxd":179
   *                 0, sizeof(this._bwd[i][0]) * this.batch_size * this.widths[i])
   *         memset(this._nr_feat, 0, sizeof(this._nr_feat[0]) * this.batch_size)
   *         memset(this.signatures, 0, sizeof(this.signatures[0]) * this.batch_size)             # <<<<<<<<<<<<<<
   *         memset(this._costs,
   *             0, sizeof(this._costs[0]) * this.nr_out() * this.batch_size)
   */
    (void)(memset(this->signatures, 0, ((sizeof((this->signatures[0]))) * this->batch_size)));
  
    /* "structs.pxd":180
   *         memset(this._nr_feat, 0, sizeof(this._nr_feat[0]) * this.batch_size)
   *         memset(this.signatures, 0, sizeof(this.signatures[0]) * this.batch_size)
   *         memset(this._costs,             # <<<<<<<<<<<<<<
   *             0, sizeof(this._costs[0]) * this.nr_out() * this.batch_size)
   *         memset(this._is_valid,
   */
    (void)(memset(this->_costs, 0, (((sizeof((this->_costs[0]))) * this->nr_out()) * this->batch_size)));
  
    /* "structs.pxd":182
   *         memset(this._costs,
   *             0, sizeof(this._costs[0]) * this.nr_out() * this.batch_size)
   *         memset(this._is_valid,             # <<<<<<<<<<<<<<
   *             0, sizeof(this._is_valid[0]) * this.nr_out() * this.batch_size)
   *         for i in range(this.i):
   */
    (void)(memset(this->_is_valid, 0, (((sizeof((this->_is_valid[0]))) * this->nr_out()) * this->batch_size)));
  
    /* "structs.pxd":184
   *         memset(this._is_valid,
   *             0, sizeof(this._is_valid[0]) * this.nr_out() * this.batch_size)
   *         for i in range(this.i):             # <<<<<<<<<<<<<<
   *             free(this._feats[i])
   *             this._feats[i] = NULL
   */
    __pyx_t_1 = this->i;
    __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;
  
      /* "structs.pxd":185
   *             0, sizeof(this._is_valid[0]) * this.nr_out() * this.batch_size)
   *         for i in range(this.i):
   *             free(this._feats[i])             # <<<<<<<<<<<<<<
   *             this._feats[i] = NULL
   *         this.i = 0
   */
      free((this->_feats[__pyx_v_i]));
  
      /* "structs.pxd":186
   *         for i in range(this.i):
   *             free(this._feats[i])
   *             this._feats[i] = NULL             # <<<<<<<<<<<<<<
   *         this.i = 0
   * 
   */
      (this->_feats[__pyx_v_i]) = NULL;
    }
  
    /* "structs.pxd":187
   *             free(this._feats[i])
   *             this._feats[i] = NULL
   *         this.i = 0             # <<<<<<<<<<<<<<
   * 
   *     int nr_in() nogil:
   */
    this->i = 0;
  
    /* "structs.pxd":172
   *         free(this.signatures)
   * 
   *     void reset() nogil:             # <<<<<<<<<<<<<<
   *         for i in range(this.nr_layer):
   *             memset(this._fwd[i],
   */
  
    /* function exit code */
  }
  
  /* "structs.pxd":189
   *         this.i = 0
   * 
   *     int nr_in() nogil:             # <<<<<<<<<<<<<<
   *         return this.widths[0]
   * 
   */
  
  int __pyx_t_5thinc_7structs_MinibatchC::nr_in(void) {
    int __pyx_r;
  
    /* "structs.pxd":190
   * 
   *     int nr_in() nogil:
   *         return this.widths[0]             # <<<<<<<<<<<<<<
   * 
   *     int nr_out() nogil:
   */
    __pyx_r = (this->widths[0]);
    goto __pyx_L0;
  
    /* "structs.pxd":189
   *         this.i = 0
   * 
   *     int nr_in() nogil:             # <<<<<<<<<<<<<<
   *         return this.widths[0]
   * 
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "structs.pxd":192
   *         return this.widths[0]
   * 
   *     int nr_out() nogil:             # <<<<<<<<<<<<<<
   *         return this.widths[this.nr_layer - 1]
   * 
   */
  
  int __pyx_t_5thinc_7structs_MinibatchC::nr_out(void) {
    int __pyx_r;
  
    /* "structs.pxd":193
   * 
   *     int nr_out() nogil:
   *         return this.widths[this.nr_layer - 1]             # <<<<<<<<<<<<<<
   * 
   *     int push_back(const FeatureC* feats, int nr_feat,
   */
    __pyx_r = (this->widths[(this->nr_layer - 1)]);
    goto __pyx_L0;
  
    /* "structs.pxd":192
   *         return this.widths[0]
   * 
   *     int nr_out() nogil:             # <<<<<<<<<<<<<<
   *         return this.widths[this.nr_layer - 1]
   * 
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "structs.pxd":195
   *         return this.widths[this.nr_layer - 1]
   * 
   *     int push_back(const FeatureC* feats, int nr_feat,             # <<<<<<<<<<<<<<
   *             const weight_t* costs, const int* is_valid, uint64_t key) nogil:
   *         # Hash the features, to see if the batch has a matching input.
   */
  
  int __pyx_t_5thinc_7structs_MinibatchC::push_back(struct __pyx_t_5thinc_7structs_FeatureC const *__pyx_v_feats, int __pyx_v_nr_feat, __pyx_t_5thinc_8typedefs_weight_t const *__pyx_v_costs, int const *__pyx_v_is_valid, uint64_t __pyx_v_key) {
    int __pyx_v_i;
    int __pyx_r;
    int __pyx_t_1;
    int __pyx_t_2;
    int __pyx_t_3;
    int __pyx_t_4;
  
    /* "structs.pxd":199
   *         # Hash the features, to see if the batch has a matching input.
   *         # If it does, just update the gradient for it.
   *         if key != 0:             # <<<<<<<<<<<<<<
   *             for i in range(this.i):
   *                 if this.signatures[i] == key:
   */
    __pyx_t_1 = ((__pyx_v_key != 0) != 0);
    if (__pyx_t_1) {
  
      /* "structs.pxd":200
   *         # If it does, just update the gradient for it.
   *         if key != 0:
   *             for i in range(this.i):             # <<<<<<<<<<<<<<
   *                 if this.signatures[i] == key:
   *                     VecVec.add_i(this.costs(i),
   */
      __pyx_t_2 = this->i;
      __pyx_t_3 = __pyx_t_2;
      for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
        __pyx_v_i = __pyx_t_4;
  
        /* "structs.pxd":201
   *         if key != 0:
   *             for i in range(this.i):
   *                 if this.signatures[i] == key:             # <<<<<<<<<<<<<<
   *                     VecVec.add_i(this.costs(i),
   *                         costs, 1.0, this.nr_out())
   */
        __pyx_t_1 = (((this->signatures[__pyx_v_i]) == __pyx_v_key) != 0);
        if (__pyx_t_1) {
  
          /* "structs.pxd":202
   *             for i in range(this.i):
   *                 if this.signatures[i] == key:
   *                     VecVec.add_i(this.costs(i),             # <<<<<<<<<<<<<<
   *                         costs, 1.0, this.nr_out())
   *                     return 0
   */
          __pyx_f_5thinc_6linalg_6VecVec_add_i(this->costs(__pyx_v_i), __pyx_v_costs, 1.0, this->nr_out());
  
          /* "structs.pxd":204
   *                     VecVec.add_i(this.costs(i),
   *                         costs, 1.0, this.nr_out())
   *                     return 0             # <<<<<<<<<<<<<<
   *         if this.i >= this.batch_size:
   *             this.reset()
   */
          __pyx_r = 0;
          goto __pyx_L0;
  
          /* "structs.pxd":201
   *         if key != 0:
   *             for i in range(this.i):
   *                 if this.signatures[i] == key:             # <<<<<<<<<<<<<<
   *                     VecVec.add_i(this.costs(i),
   *                         costs, 1.0, this.nr_out())
   */
        }
      }
  
      /* "structs.pxd":199
   *         # Hash the features, to see if the batch has a matching input.
   *         # If it does, just update the gradient for it.
   *         if key != 0:             # <<<<<<<<<<<<<<
   *             for i in range(this.i):
   *                 if this.signatures[i] == key:
   */
    }
  
    /* "structs.pxd":205
   *                         costs, 1.0, this.nr_out())
   *                     return 0
   *         if this.i >= this.batch_size:             # <<<<<<<<<<<<<<
   *             this.reset()
   *             this.i = 0 # This is done in reset() --- but make it obvious
   */
    __pyx_t_1 = ((this->i >= this->batch_size) != 0);
    if (__pyx_t_1) {
  
      /* "structs.pxd":206
   *                     return 0
   *         if this.i >= this.batch_size:
   *             this.reset()             # <<<<<<<<<<<<<<
   *             this.i = 0 # This is done in reset() --- but make it obvious
   * 
   */
      this->reset();
  
      /* "structs.pxd":207
   *         if this.i >= this.batch_size:
   *             this.reset()
   *             this.i = 0 # This is done in reset() --- but make it obvious             # <<<<<<<<<<<<<<
   * 
   *         this.signatures[this.i] = key
   */
      this->i = 0;
  
      /* "structs.pxd":205
   *                         costs, 1.0, this.nr_out())
   *                     return 0
   *         if this.i >= this.batch_size:             # <<<<<<<<<<<<<<
   *             this.reset()
   *             this.i = 0 # This is done in reset() --- but make it obvious
   */
    }
  
    /* "structs.pxd":209
   *             this.i = 0 # This is done in reset() --- but make it obvious
   * 
   *         this.signatures[this.i] = key             # <<<<<<<<<<<<<<
   *         this._nr_feat[this.i] = nr_feat
   *         this._feats[this.i] = <FeatureC*>calloc(nr_feat, sizeof(FeatureC))
   */
    (this->signatures[this->i]) = __pyx_v_key;
  
    /* "structs.pxd":210
   * 
   *         this.signatures[this.i] = key
   *         this._nr_feat[this.i] = nr_feat             # <<<<<<<<<<<<<<
   *         this._feats[this.i] = <FeatureC*>calloc(nr_feat, sizeof(FeatureC))
   *         memcpy(this._feats[this.i],
   */
    (this->_nr_feat[this->i]) = __pyx_v_nr_feat;
  
    /* "structs.pxd":211
   *         this.signatures[this.i] = key
   *         this._nr_feat[this.i] = nr_feat
   *         this._feats[this.i] = <FeatureC*>calloc(nr_feat, sizeof(FeatureC))             # <<<<<<<<<<<<<<
   *         memcpy(this._feats[this.i],
   *             feats, nr_feat * sizeof(this._feats[this.i][0]))
   */
    (this->_feats[this->i]) = ((struct __pyx_t_5thinc_7structs_FeatureC *)calloc(__pyx_v_nr_feat, (sizeof(struct __pyx_t_5thinc_7structs_FeatureC))));
  
    /* "structs.pxd":212
   *         this._nr_feat[this.i] = nr_feat
   *         this._feats[this.i] = <FeatureC*>calloc(nr_feat, sizeof(FeatureC))
   *         memcpy(this._feats[this.i],             # <<<<<<<<<<<<<<
   *             feats, nr_feat * sizeof(this._feats[this.i][0]))
   * 
   */
    (void)(memcpy((this->_feats[this->i]), __pyx_v_feats, (__pyx_v_nr_feat * (sizeof(((this->_feats[this->i])[0]))))));
  
    /* "structs.pxd":215
   *             feats, nr_feat * sizeof(this._feats[this.i][0]))
   * 
   *         memcpy(this.costs(this.i),             # <<<<<<<<<<<<<<
   *             costs, this.nr_out() * sizeof(costs[0]))
   *         if is_valid is not NULL:
   */
    (void)(memcpy(this->costs(this->i), __pyx_v_costs, (this->nr_out() * (sizeof((__pyx_v_costs[0]))))));
  
    /* "structs.pxd":217
   *         memcpy(this.costs(this.i),
   *             costs, this.nr_out() * sizeof(costs[0]))
   *         if is_valid is not NULL:             # <<<<<<<<<<<<<<
   *             memcpy(this.is_valid(this.i),
   *                 is_valid, this.nr_out() * sizeof(is_valid[0]))
   */
    __pyx_t_1 = ((__pyx_v_is_valid != NULL) != 0);
    if (__pyx_t_1) {
  
      /* "structs.pxd":218
   *             costs, this.nr_out() * sizeof(costs[0]))
   *         if is_valid is not NULL:
   *             memcpy(this.is_valid(this.i),             # <<<<<<<<<<<<<<
   *                 is_valid, this.nr_out() * sizeof(is_valid[0]))
   *         else:
   */
      (void)(memcpy(this->is_valid(this->i), __pyx_v_is_valid, (this->nr_out() * (sizeof((__pyx_v_is_valid[0]))))));
  
      /* "structs.pxd":217
   *         memcpy(this.costs(this.i),
   *             costs, this.nr_out() * sizeof(costs[0]))
   *         if is_valid is not NULL:             # <<<<<<<<<<<<<<
   *             memcpy(this.is_valid(this.i),
   *                 is_valid, this.nr_out() * sizeof(is_valid[0]))
   */
      goto __pyx_L8;
    }
  
    /* "structs.pxd":221
   *                 is_valid, this.nr_out() * sizeof(is_valid[0]))
   *         else:
   *             for i in range(this.nr_out()):             # <<<<<<<<<<<<<<
   *                 this.is_valid(this.i)[i] = 1
   *         this.i += 1
   */
    /*else*/ {
      __pyx_t_2 = this->nr_out();
      __pyx_t_3 = __pyx_t_2;
      for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
        __pyx_v_i = __pyx_t_4;
  
        /* "structs.pxd":222
   *         else:
   *             for i in range(this.nr_out()):
   *                 this.is_valid(this.i)[i] = 1             # <<<<<<<<<<<<<<
   *         this.i += 1
   *         return this.i >= this.batch_size
   */
        (this->is_valid(this->i)[__pyx_v_i]) = 1;
      }
    }
    __pyx_L8:;
  
    /* "structs.pxd":223
   *             for i in range(this.nr_out()):
   *                 this.is_valid(this.i)[i] = 1
   *         this.i += 1             # <<<<<<<<<<<<<<
   *         return this.i >= this.batch_size
   * 
   */
    this->i = (this->i + 1);
  
    /* "structs.pxd":224
   *                 this.is_valid(this.i)[i] = 1
   *         this.i += 1
   *         return this.i >= this.batch_size             # <<<<<<<<<<<<<<
   * 
   *     FeatureC* features(int i) nogil:
   */
    __pyx_r = (this->i >= this->batch_size);
    goto __pyx_L0;
  
    /* "structs.pxd":195
   *         return this.widths[this.nr_layer - 1]
   * 
   *     int push_back(const FeatureC* feats, int nr_feat,             # <<<<<<<<<<<<<<
   *             const weight_t* costs, const int* is_valid, uint64_t key) nogil:
   *         # Hash the features, to see if the batch has a matching input.
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "structs.pxd":226
   *         return this.i >= this.batch_size
   * 
   *     FeatureC* features(int i) nogil:             # <<<<<<<<<<<<<<
   *         return this._feats[i]
   * 
   */
  
  struct __pyx_t_5thinc_7structs_FeatureC *__pyx_t_5thinc_7structs_MinibatchC::features(int __pyx_v_i) {
    struct __pyx_t_5thinc_7structs_FeatureC *__pyx_r;
  
    /* "structs.pxd":227
   * 
   *     FeatureC* features(int i) nogil:
   *         return this._feats[i]             # <<<<<<<<<<<<<<
   * 
   *     int nr_feat(int i) nogil:
   */
    __pyx_r = (this->_feats[__pyx_v_i]);
    goto __pyx_L0;
  
    /* "structs.pxd":226
   *         return this.i >= this.batch_size
   * 
   *     FeatureC* features(int i) nogil:             # <<<<<<<<<<<<<<
   *         return this._feats[i]
   * 
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "structs.pxd":229
   *         return this._feats[i]
   * 
   *     int nr_feat(int i) nogil:             # <<<<<<<<<<<<<<
   *         return this._nr_feat[i]
   * 
   */
  
  int __pyx_t_5thinc_7structs_MinibatchC::nr_feat(int __pyx_v_i) {
    int __pyx_r;
  
    /* "structs.pxd":230
   * 
   *     int nr_feat(int i) nogil:
   *         return this._nr_feat[i]             # <<<<<<<<<<<<<<
   * 
   *     weight_t* fwd(int i, int j) nogil:
   */
    __pyx_r = (this->_nr_feat[__pyx_v_i]);
    goto __pyx_L0;
  
    /* "structs.pxd":229
   *         return this._feats[i]
   * 
   *     int nr_feat(int i) nogil:             # <<<<<<<<<<<<<<
   *         return this._nr_feat[i]
   * 
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "structs.pxd":232
   *         return this._nr_feat[i]
   * 
   *     weight_t* fwd(int i, int j) nogil:             # <<<<<<<<<<<<<<
   *         return this._fwd[i] + (j * this.widths[i])
   * 
   */
  
  __pyx_t_5thinc_8typedefs_weight_t *__pyx_t_5thinc_7structs_MinibatchC::fwd(int __pyx_v_i, int __pyx_v_j) {
    __pyx_t_5thinc_8typedefs_weight_t *__pyx_r;
  
    /* "structs.pxd":233
   * 
   *     weight_t* fwd(int i, int j) nogil:
   *         return this._fwd[i] + (j * this.widths[i])             # <<<<<<<<<<<<<<
   * 
   *     weight_t* bwd(int i, int j) nogil:
   */
    __pyx_r = ((this->_fwd[__pyx_v_i]) + (__pyx_v_j * (this->widths[__pyx_v_i])));
    goto __pyx_L0;
  
    /* "structs.pxd":232
   *         return this._nr_feat[i]
   * 
   *     weight_t* fwd(int i, int j) nogil:             # <<<<<<<<<<<<<<
   *         return this._fwd[i] + (j * this.widths[i])
   * 
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "structs.pxd":235
   *         return this._fwd[i] + (j * this.widths[i])
   * 
   *     weight_t* bwd(int i, int j) nogil:             # <<<<<<<<<<<<<<
   *         return this._bwd[i] + (j * this.widths[i])
   * 
   */
  
  __pyx_t_5thinc_8typedefs_weight_t *__pyx_t_5thinc_7structs_MinibatchC::bwd(int __pyx_v_i, int __pyx_v_j) {
    __pyx_t_5thinc_8typedefs_weight_t *__pyx_r;
  
    /* "structs.pxd":236
   * 
   *     weight_t* bwd(int i, int j) nogil:
   *         return this._bwd[i] + (j * this.widths[i])             # <<<<<<<<<<<<<<
   * 
   *     weight_t* scores(int i) nogil:
   */
    __pyx_r = ((this->_bwd[__pyx_v_i]) + (__pyx_v_j * (this->widths[__pyx_v_i])));
    goto __pyx_L0;
  
    /* "structs.pxd":235
   *         return this._fwd[i] + (j * this.widths[i])
   * 
   *     weight_t* bwd(int i, int j) nogil:             # <<<<<<<<<<<<<<
   *         return this._bwd[i] + (j * this.widths[i])
   * 
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "structs.pxd":238
   *         return this._bwd[i] + (j * this.widths[i])
   * 
   *     weight_t* scores(int i) nogil:             # <<<<<<<<<<<<<<
   *         return this.fwd(this.nr_layer-1, i)
   * 
   */
  
  __pyx_t_5thinc_8typedefs_weight_t *__pyx_t_5thinc_7structs_MinibatchC::scores(int __pyx_v_i) {
    __pyx_t_5thinc_8typedefs_weight_t *__pyx_r;
  
    /* "structs.pxd":239
   * 
   *     weight_t* scores(int i) nogil:
   *         return this.fwd(this.nr_layer-1, i)             # <<<<<<<<<<<<<<
   * 
   *     weight_t* losses(int i) nogil:
   */
    __pyx_r = this->fwd((this->nr_layer - 1), __pyx_v_i);
    goto __pyx_L0;
  
    /* "structs.pxd":238
   *         return this._bwd[i] + (j * this.widths[i])
   * 
   *     weight_t* scores(int i) nogil:             # <<<<<<<<<<<<<<
   *         return this.fwd(this.nr_layer-1, i)
   * 
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "structs.pxd":241
   *         return this.fwd(this.nr_layer-1, i)
   * 
   *     weight_t* losses(int i) nogil:             # <<<<<<<<<<<<<<
   *         return this.bwd(this.nr_layer-1, i)
   * 
   */
  
  __pyx_t_5thinc_8typedefs_weight_t *__pyx_t_5thinc_7structs_MinibatchC::losses(int __pyx_v_i) {
    __pyx_t_5thinc_8typedefs_weight_t *__pyx_r;
  
    /* "structs.pxd":242
   * 
   *     weight_t* losses(int i) nogil:
   *         return this.bwd(this.nr_layer-1, i)             # <<<<<<<<<<<<<<
   * 
   *     weight_t* costs(int i) nogil:
   */
    __pyx_r = this->bwd((this->nr_layer - 1), __pyx_v_i);
    goto __pyx_L0;
  
    /* "structs.pxd":241
   *         return this.fwd(this.nr_layer-1, i)
   * 
   *     weight_t* losses(int i) nogil:             # <<<<<<<<<<<<<<
   *         return this.bwd(this.nr_layer-1, i)
   * 
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "structs.pxd":244
   *         return this.bwd(this.nr_layer-1, i)
   * 
   *     weight_t* costs(int i) nogil:             # <<<<<<<<<<<<<<
   *         return this._costs + (i * this.nr_out())
   * 
   */
  
  __pyx_t_5thinc_8typedefs_weight_t *__pyx_t_5thinc_7structs_MinibatchC::costs(int __pyx_v_i) {
    __pyx_t_5thinc_8typedefs_weight_t *__pyx_r;
  
    /* "structs.pxd":245
   * 
   *     weight_t* costs(int i) nogil:
   *         return this._costs + (i * this.nr_out())             # <<<<<<<<<<<<<<
   * 
   *     int* is_valid(int i) nogil:
   */
    __pyx_r = (this->_costs + (__pyx_v_i * this->nr_out()));
    goto __pyx_L0;
  
    /* "structs.pxd":244
   *         return this.bwd(this.nr_layer-1, i)
   * 
   *     weight_t* costs(int i) nogil:             # <<<<<<<<<<<<<<
   *         return this._costs + (i * this.nr_out())
   * 
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "structs.pxd":247
   *         return this._costs + (i * this.nr_out())
   * 
   *     int* is_valid(int i) nogil:             # <<<<<<<<<<<<<<
   *         return this._is_valid + (i * this.nr_out())
   * 
   */
  
  int *__pyx_t_5thinc_7structs_MinibatchC::is_valid(int __pyx_v_i) {
    int *__pyx_r;
  
    /* "structs.pxd":248
   * 
   *     int* is_valid(int i) nogil:
   *         return this._is_valid + (i * this.nr_out())             # <<<<<<<<<<<<<<
   * 
   *     int guess(int i) nogil:
   */
    __pyx_r = (this->_is_valid + (__pyx_v_i * this->nr_out()));
    goto __pyx_L0;
  
    /* "structs.pxd":247
   *         return this._costs + (i * this.nr_out())
   * 
   *     int* is_valid(int i) nogil:             # <<<<<<<<<<<<<<
   *         return this._is_valid + (i * this.nr_out())
   * 
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "structs.pxd":250
   *         return this._is_valid + (i * this.nr_out())
   * 
   *     int guess(int i) nogil:             # <<<<<<<<<<<<<<
   *         return VecVec.arg_max_if_true(this.scores(i), this.is_valid(i), this.nr_out())
   * 
   */
  
  int __pyx_t_5thinc_7structs_MinibatchC::guess(int __pyx_v_i) {
    int __pyx_r;
  
    /* "structs.pxd":251
   * 
   *     int guess(int i) nogil:
   *         return VecVec.arg_max_if_true(this.scores(i), this.is_valid(i), this.nr_out())             # <<<<<<<<<<<<<<
   * 
   *     int best(int i) nogil:
   */
    __pyx_r = __pyx_f_5thinc_6linalg_6VecVec_arg_max_if_true(this->scores(__pyx_v_i), this->is_valid(__pyx_v_i), this->nr_out());
    goto __pyx_L0;
  
    /* "structs.pxd":250
   *         return this._is_valid + (i * this.nr_out())
   * 
   *     int guess(int i) nogil:             # <<<<<<<<<<<<<<
   *         return VecVec.arg_max_if_true(this.scores(i), this.is_valid(i), this.nr_out())
   * 
   */
  
    /* function exit code */
    __pyx_L0:;
    return __pyx_r;
  }
  
  /* "structs.pxd":253
   *         return VecVec.arg_max_if_true(this.scores(i), this.is_valid(i), this.nr_out())
   * 
   *     int best(int i) nogil:             # <<<<<<<<<<<<<<
   *         return VecVec.arg_max_if_zero(this.scores(i), this.costs(i), this.nr_out())
   * 
   */
  
  int __pyx_t_5thinc_7structs_MinibatchC::best(int __pyx_v_i) {
    int __pyx_r;
  
    /* "structs.pxd":254
   * 
   *     int best(int i) nogil:
   *         return VecVec.arg_max_if_zero(this.scores(i), this.costs(i), this.nr_out())             # <<<<<<<<<<<<<<
   * 
   * 
   */
    __pyx_r = __pyx_f_5thinc_6linalg_6VecVec_arg_max_if_zero(this->scores(__pyx_v_i), this->costs(__pyx_v_i), this->nr_out());
    goto __pyx_L0;
  
    /* "structs.pxd":253
   *         return VecVec.arg_max_if_true(this.scores(i), this.is_valid(i), this.nr_out())
   * 
   *     int best(int i) nogil:             # <<<<<<<<<<<<<<
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    /* "thinc/linear/serialize.pyx":1
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    /* "sparse.pxd":58
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   *     @staticmethod
   *     cdef inline int cmp(const void* a, const void* b) nogil:             # <<<<<<<<<<<<<<
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    /*--- Wrapped vars code ---*/
  
    goto __pyx_L0;
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  static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
      PyTypeObject* tp = Py_TYPE(obj);
      if (likely(tp->tp_getattro))
          return tp->tp_getattro(obj, attr_name);
  #if PY_MAJOR_VERSION < 3
      if (likely(tp->tp_getattr))
          return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
  #endif
      return PyObject_GetAttr(obj, attr_name);
  }
  #endif
  
  /* GetBuiltinName */
  static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
      PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
      if (unlikely(!result)) {
          PyErr_Format(PyExc_NameError,
  #if PY_MAJOR_VERSION >= 3
              "name '%U' is not defined", name);
  #else
              "name '%.200s' is not defined", PyString_AS_STRING(name));
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      }
      return result;
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  /* RaiseArgTupleInvalid */
  static void __Pyx_RaiseArgtupleInvalid(
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      int exact,
      Py_ssize_t num_min,
      Py_ssize_t num_max,
      Py_ssize_t num_found)
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      Py_ssize_t num_expected;
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      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);
  }
  
  /* 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;
  }
  
  /* PyDictVersioning */
  #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
  static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
      PyObject *dict = Py_TYPE(obj)->tp_dict;
      return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
  }
  static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
      PyObject **dictptr = NULL;
      Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
      if (offset) {
  #if CYTHON_COMPILING_IN_CPYTHON
          dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
  #else
          dictptr = _PyObject_GetDictPtr(obj);
  #endif
      }
      return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
  }
  static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
      PyObject *dict = Py_TYPE(obj)->tp_dict;
      if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
          return 0;
      return obj_dict_version == __Pyx_get_object_dict_version(obj);
  }
  #endif
  
  /* GetModuleGlobalName */
  #if CYTHON_USE_DICT_VERSIONS
  static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
  #else
  static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
  #endif
  {
      PyObject *result;
  #if !CYTHON_AVOID_BORROWED_REFS
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
      result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
      __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
      if (likely(result)) {
          return __Pyx_NewRef(result);
      } else if (unlikely(PyErr_Occurred())) {
          return NULL;
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  #else
      result = PyDict_GetItem(__pyx_d, name);
      __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
      if (likely(result)) {
          return __Pyx_NewRef(result);
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  #endif
  #else
      result = PyObject_GetItem(__pyx_d, name);
      __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
      if (likely(result)) {
          return __Pyx_NewRef(result);
      }
      PyErr_Clear();
  #endif
      return __Pyx_GetBuiltinName(name);
  }
  
  /* PyCFunctionFastCall */
  #if CYTHON_FAST_PYCCALL
  static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
      PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
      PyCFunction meth = PyCFunction_GET_FUNCTION(func);
      PyObject *self = PyCFunction_GET_SELF(func);
      int flags = PyCFunction_GET_FLAGS(func);
      assert(PyCFunction_Check(func));
      assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
      assert(nargs >= 0);
      assert(nargs == 0 || args != NULL);
      /* _PyCFunction_FastCallDict() must not be called with an exception set,
         because it may clear it (directly or indirectly) and so the
         caller loses its exception */
      assert(!PyErr_Occurred());
      if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
          return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL);
      } else {
          return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs);
      }
  }
  #endif
  
  /* PyFunctionFastCall */
  #if CYTHON_FAST_PYCALL
  static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                                 PyObject *globals) {
      PyFrameObject *f;
      PyThreadState *tstate = __Pyx_PyThreadState_Current;
      PyObject **fastlocals;
      Py_ssize_t i;
      PyObject *result;
      assert(globals != NULL);
      /* XXX Perhaps we should create a specialized
         PyFrame_New() that doesn't take locals, but does
         take builtins without sanity checking them.
         */
      assert(tstate != NULL);
      f = PyFrame_New(tstate, co, globals, NULL);
      if (f == NULL) {
          return NULL;
      }
      fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
      for (i = 0; i < na; i++) {
          Py_INCREF(*args);
          fastlocals[i] = *args++;
      }
      result = PyEval_EvalFrameEx(f,0);
      ++tstate->recursion_depth;
      Py_DECREF(f);
      --tstate->recursion_depth;
      return result;
  }
  #if 1 || PY_VERSION_HEX < 0x030600B1
  static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
      PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
      PyObject *globals = PyFunction_GET_GLOBALS(func);
      PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
      PyObject *closure;
  #if PY_MAJOR_VERSION >= 3
      PyObject *kwdefs;
  #endif
      PyObject *kwtuple, **k;
      PyObject **d;
      Py_ssize_t nd;
      Py_ssize_t nk;
      PyObject *result;
      assert(kwargs == NULL || PyDict_Check(kwargs));
      nk = kwargs ? PyDict_Size(kwargs) : 0;
      if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
          return NULL;
      }
      if (
  #if PY_MAJOR_VERSION >= 3
              co->co_kwonlyargcount == 0 &&
  #endif
              likely(kwargs == NULL || nk == 0) &&
              co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
          if (argdefs == NULL && co->co_argcount == nargs) {
              result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
              goto done;
          }
          else if (nargs == 0 && argdefs != NULL
                   && co->co_argcount == Py_SIZE(argdefs)) {
              /* function called with no arguments, but all parameters have
                 a default value: use default values as arguments .*/
              args = &PyTuple_GET_ITEM(argdefs, 0);
              result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
              goto done;
          }
      }
      if (kwargs != NULL) {
          Py_ssize_t pos, i;
          kwtuple = PyTuple_New(2 * nk);
          if (kwtuple == NULL) {
              result = NULL;
              goto done;
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          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;
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          nk = i / 2;
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      else {
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      }
      closure = PyFunction_GET_CLOSURE(func);
  #if PY_MAJOR_VERSION >= 3
      kwdefs = PyFunction_GET_KW_DEFAULTS(func);
  #endif
      if (argdefs != NULL) {
          d = &PyTuple_GET_ITEM(argdefs, 0);
          nd = Py_SIZE(argdefs);
      }
      else {
          d = NULL;
          nd = 0;
      }
  #if PY_MAJOR_VERSION >= 3
      result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                                 args, (int)nargs,
                                 k, (int)nk,
                                 d, (int)nd, kwdefs, closure);
  #else
      result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                                 args, (int)nargs,
                                 k, (int)nk,
                                 d, (int)nd, closure);
  #endif
      Py_XDECREF(kwtuple);
  done:
      Py_LeaveRecursiveCall();
      return result;
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  #endif
  #endif
  
  /* PyObjectCall */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
      PyObject *result;
      ternaryfunc call = func->ob_type->tp_call;
      if (unlikely(!call))
          return PyObject_Call(func, arg, kw);
      if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
          return NULL;
      result = (*call)(func, arg, kw);
      Py_LeaveRecursiveCall();
      if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
          PyErr_SetString(
              PyExc_SystemError,
              "NULL result without error in PyObject_Call");
      }
      return result;
  }
  #endif
  
  /* PyObjectCall2Args */
  static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
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      #if CYTHON_FAST_PYCALL
      if (PyFunction_Check(function)) {
          PyObject *args[2] = {arg1, arg2};
          return __Pyx_PyFunction_FastCall(function, args, 2);
      }
      #endif
      #if CYTHON_FAST_PYCCALL
      if (__Pyx_PyFastCFunction_Check(function)) {
          PyObject *args[2] = {arg1, arg2};
          return __Pyx_PyCFunction_FastCall(function, args, 2);
      }
      #endif
      args = PyTuple_New(2);
      if (unlikely(!args)) goto done;
      Py_INCREF(arg1);
      PyTuple_SET_ITEM(args, 0, arg1);
      Py_INCREF(arg2);
      PyTuple_SET_ITEM(args, 1, arg2);
      Py_INCREF(function);
      result = __Pyx_PyObject_Call(function, args, NULL);
      Py_DECREF(args);
      Py_DECREF(function);
  done:
      return result;
  }
  
  /* PyObjectCallMethO */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
      PyObject *self, *result;
      PyCFunction cfunc;
      cfunc = PyCFunction_GET_FUNCTION(func);
      self = PyCFunction_GET_SELF(func);
      if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
          return NULL;
      result = cfunc(self, arg);
      Py_LeaveRecursiveCall();
      if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
          PyErr_SetString(
              PyExc_SystemError,
              "NULL result without error in PyObject_Call");
      }
      return result;
  }
  #endif
  
  /* PyObjectCallOneArg */
  #if CYTHON_COMPILING_IN_CPYTHON
  static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
      PyObject *result;
      PyObject *args = PyTuple_New(1);
      if (unlikely(!args)) return NULL;
      Py_INCREF(arg);
      PyTuple_SET_ITEM(args, 0, arg);
      result = __Pyx_PyObject_Call(func, args, NULL);
      Py_DECREF(args);
      return result;
  }
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
  #if CYTHON_FAST_PYCALL
      if (PyFunction_Check(func)) {
          return __Pyx_PyFunction_FastCall(func, &arg, 1);
      }
  #endif
      if (likely(PyCFunction_Check(func))) {
          if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
              return __Pyx_PyObject_CallMethO(func, arg);
  #if CYTHON_FAST_PYCCALL
          } else if (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
  
  /* 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
  
  /* PyObject_GenericGetAttrNoDict */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
      PyErr_Format(PyExc_AttributeError,
  #if PY_MAJOR_VERSION >= 3
                   "'%.50s' object has no attribute '%U'",
                   tp->tp_name, attr_name);
  #else
                   "'%.50s' object has no attribute '%.400s'",
                   tp->tp_name, PyString_AS_STRING(attr_name));
  #endif
      return NULL;
  }
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
      PyObject *descr;
      PyTypeObject *tp = Py_TYPE(obj);
      if (unlikely(!PyString_Check(attr_name))) {
          return PyObject_GenericGetAttr(obj, attr_name);
      }
      assert(!tp->tp_dictoffset);
      descr = _PyType_Lookup(tp, attr_name);
      if (unlikely(!descr)) {
          return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
      }
      Py_INCREF(descr);
      #if PY_MAJOR_VERSION < 3
      if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
      #endif
      {
          descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
          if (unlikely(f)) {
              PyObject *res = f(descr, obj, (PyObject *)tp);
              Py_DECREF(descr);
              return res;
          }
      }
      return descr;
  }
  #endif
  
  /* PyObject_GenericGetAttr */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
      if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
          return PyObject_GenericGetAttr(obj, attr_name);
      }
      return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
  }
  #endif
  
  /* SetVTable */
  static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
  #if PY_VERSION_HEX >= 0x02070000
      PyObject *ob = PyCapsule_New(vtable, 0, 0);
  #else
      PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
  #endif
      if (!ob)
          goto bad;
      if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
          goto bad;
      Py_DECREF(ob);
      return 0;
  bad:
      Py_XDECREF(ob);
      return -1;
  }
  
  /* SetupReduce */
  static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
    int ret;
    PyObject *name_attr;
    name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name);
    if (likely(name_attr)) {
        ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
    } else {
        ret = -1;
    }
    if (unlikely(ret < 0)) {
        PyErr_Clear();
        ret = 0;
    }
    Py_XDECREF(name_attr);
    return ret;
  }
  static int __Pyx_setup_reduce(PyObject* type_obj) {
      int ret = 0;
      PyObject *object_reduce = NULL;
      PyObject *object_reduce_ex = NULL;
      PyObject *reduce = NULL;
      PyObject *reduce_ex = NULL;
      PyObject *reduce_cython = NULL;
      PyObject *setstate = NULL;
      PyObject *setstate_cython = NULL;
  #if CYTHON_USE_PYTYPE_LOOKUP
      if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto GOOD;
  #else
      if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto GOOD;
  #endif
  #if CYTHON_USE_PYTYPE_LOOKUP
      object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
  #else
      object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
  #endif
      reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto BAD;
      if (reduce_ex == object_reduce_ex) {
  #if CYTHON_USE_PYTYPE_LOOKUP
          object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD;
  #else
          object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD;
  #endif
          reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto BAD;
          if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
              reduce_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_cython); if (unlikely(!reduce_cython)) goto BAD;
              ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto BAD;
              ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto BAD;
              setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
              if (!setstate) PyErr_Clear();
              if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                  setstate_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate_cython); if (unlikely(!setstate_cython)) goto BAD;
                  ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto BAD;
                  ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto BAD;
              }
              PyType_Modified((PyTypeObject*)type_obj);
          }
      }
      goto GOOD;
  BAD:
      if (!PyErr_Occurred())
          PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
      ret = -1;
  GOOD:
  #if !CYTHON_USE_PYTYPE_LOOKUP
      Py_XDECREF(object_reduce);
      Py_XDECREF(object_reduce_ex);
  #endif
      Py_XDECREF(reduce);
      Py_XDECREF(reduce_ex);
      Py_XDECREF(reduce_cython);
      Py_XDECREF(setstate);
      Py_XDECREF(setstate_cython);
      return ret;
  }
  
  /* TypeImport */
  #ifndef __PYX_HAVE_RT_ImportType
  #define __PYX_HAVE_RT_ImportType
  static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name,
      size_t size, enum __Pyx_ImportType_CheckSize check_size)
  {
      PyObject *result = 0;
      char warning[200];
      Py_ssize_t basicsize;
  #ifdef Py_LIMITED_API
      PyObject *py_basicsize;
  #endif
      result = PyObject_GetAttrString(module, class_name);
      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 ((size_t)basicsize < size) {
          PyErr_Format(PyExc_ValueError,
              "%.200s.%.200s size changed, may indicate binary incompatibility. "
              "Expected %zd from C header, got %zd from PyObject",
              module_name, class_name, size, basicsize);
          goto bad;
      }
      if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != size) {
          PyErr_Format(PyExc_ValueError,
              "%.200s.%.200s size changed, may indicate binary incompatibility. "
              "Expected %zd from C header, got %zd from PyObject",
              module_name, class_name, size, basicsize);
          goto bad;
      }
      else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) {
          PyOS_snprintf(warning, sizeof(warning),
              "%s.%s size changed, may indicate binary incompatibility. "
              "Expected %zd from C header, got %zd from PyObject",
              module_name, class_name, size, basicsize);
          if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
      }
      return (PyTypeObject *)result;
  bad:
      Py_XDECREF(result);
      return NULL;
  }
  #endif
  
  /* GetVTable */
  static void* __Pyx_GetVtable(PyObject *dict) {
      void* ptr;
      PyObject *ob = PyObject_GetItem(dict, __pyx_n_s_pyx_vtable);
      if (!ob)
          goto bad;
  #if PY_VERSION_HEX >= 0x02070000
      ptr = PyCapsule_GetPointer(ob, 0);
  #else
      ptr = PyCObject_AsVoidPtr(ob);
  #endif
      if (!ptr && !PyErr_Occurred())
          PyErr_SetString(PyExc_RuntimeError, "invalid vtable found for imported type");
      Py_DECREF(ob);
      return ptr;
  bad:
      Py_XDECREF(ob);
      return NULL;
  }
  
  /* 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, (PyObject *)NULL);
              Py_DECREF(py_level);
              #else
              module = PyImport_ImportModuleLevelObject(
                  name, global_dict, empty_dict, list, level);
              #endif
          }
      }
  bad:
      #if PY_MAJOR_VERSION < 3
      Py_XDECREF(py_import);
      #endif
      Py_XDECREF(empty_list);
      Py_XDECREF(empty_dict);
      return module;
  }
  
  /* 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;
  }
  
  /* CLineInTraceback */
  #ifndef CYTHON_CLINE_IN_TRACEBACK
  static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
      PyObject *use_cline;
      PyObject *ptype, *pvalue, *ptraceback;
  #if CYTHON_COMPILING_IN_CPYTHON
      PyObject **cython_runtime_dict;
  #endif
      if (unlikely(!__pyx_cython_runtime)) {
          return c_line;
      }
      __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
  #if CYTHON_COMPILING_IN_CPYTHON
      cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
      if (likely(cython_runtime_dict)) {
          __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
              use_cline, *cython_runtime_dict,
              __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
      } else
  #endif
      {
        PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
        if (use_cline_obj) {
          use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
          Py_DECREF(use_cline_obj);
        } else {
          PyErr_Clear();
          use_cline = NULL;
        }
      }
      if (!use_cline) {
          c_line = 0;
          PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
      }
      else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
          c_line = 0;
      }
      __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
      return c_line;
  }
  #endif
  
  /* CodeObjectCache */
  static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
      int start = 0, mid = 0, end = count - 1;
      if (end >= 0 && code_line > entries[end].code_line) {
          return count;
      }
      while (start < end) {
          mid = start + (end - start) / 2;
          if (code_line < entries[mid].code_line) {
              end = mid;
          } else if (code_line > entries[mid].code_line) {
               start = mid + 1;
          } else {
              return mid;
          }
      }
      if (code_line <= entries[mid].code_line) {
          return mid;
      } else {
          return mid + 1;
      }
  }
  static PyCodeObject *__pyx_find_code_object(int code_line) {
      PyCodeObject* code_object;
      int pos;
      if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
          return NULL;
      }
      pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
      if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
          return NULL;
      }
      code_object = __pyx_code_cache.entries[pos].code_object;
      Py_INCREF(code_object);
      return code_object;
  }
  static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
      int pos, i;
      __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
      if (unlikely(!code_line)) {
          return;
      }
      if (unlikely(!entries)) {
          entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
          if (likely(entries)) {
              __pyx_code_cache.entries = entries;
              __pyx_code_cache.max_count = 64;
              __pyx_code_cache.count = 1;
              entries[0].code_line = code_line;
              entries[0].code_object = code_object;
              Py_INCREF(code_object);
          }
          return;
      }
      pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
      if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
          PyCodeObject* tmp = entries[pos].code_object;
          entries[pos].code_object = code_object;
          Py_DECREF(tmp);
          return;
      }
      if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
          int new_max = __pyx_code_cache.max_count + 64;
          entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
              __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry));
          if (unlikely(!entries)) {
              return;
          }
          __pyx_code_cache.entries = entries;
          __pyx_code_cache.max_count = new_max;
      }
      for (i=__pyx_code_cache.count; i>pos; i--) {
          entries[i] = entries[i-1];
      }
      entries[pos].code_line = code_line;
      entries[pos].code_object = code_object;
      __pyx_code_cache.count++;
      Py_INCREF(code_object);
  }
  
  /* AddTraceback */
  #include "compile.h"
  #include "frameobject.h"
  #include "traceback.h"
  static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
              const char *funcname, int c_line,
              int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyObject *py_srcfile = 0;
      PyObject *py_funcname = 0;
      #if PY_MAJOR_VERSION < 3
      py_srcfile = PyString_FromString(filename);
      #else
      py_srcfile = PyUnicode_FromString(filename);
      #endif
      if (!py_srcfile) goto bad;
      if (c_line) {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          #else
          py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          #endif
      }
      else {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromString(funcname);
          #else
          py_funcname = PyUnicode_FromString(funcname);
          #endif
      }
      if (!py_funcname) goto bad;
      py_code = __Pyx_PyCode_New(
          0,
          0,
          0,
          0,
          0,
          __pyx_empty_bytes, /*PyObject *code,*/
          __pyx_empty_tuple, /*PyObject *consts,*/
          __pyx_empty_tuple, /*PyObject *names,*/
          __pyx_empty_tuple, /*PyObject *varnames,*/
          __pyx_empty_tuple, /*PyObject *freevars,*/
          __pyx_empty_tuple, /*PyObject *cellvars,*/
          py_srcfile,   /*PyObject *filename,*/
          py_funcname,  /*PyObject *name,*/
          py_line,
          __pyx_empty_bytes  /*PyObject *lnotab*/
      );
      Py_DECREF(py_srcfile);
      Py_DECREF(py_funcname);
      return py_code;
  bad:
      Py_XDECREF(py_srcfile);
      Py_XDECREF(py_funcname);
      return NULL;
  }
  static void __Pyx_AddTraceback(const char *funcname, int c_line,
                                 int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyFrameObject *py_frame = 0;
      PyThreadState *tstate = __Pyx_PyThreadState_Current;
      if (c_line) {
          c_line = __Pyx_CLineForTraceback(tstate, c_line);
      }
      py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
      if (!py_code) {
          py_code = __Pyx_CreateCodeObjectForTraceback(
              funcname, c_line, py_line, filename);
          if (!py_code) goto bad;
          __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
      }
      py_frame = PyFrame_New(
          tstate,            /*PyThreadState *tstate,*/
          py_code,           /*PyCodeObject *code,*/
          __pyx_d,    /*PyObject *globals,*/
          0                  /*PyObject *locals*/
      );
      if (!py_frame) goto bad;
      __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
      PyTraceBack_Here(py_frame);
  bad:
      Py_XDECREF(py_code);
      Py_XDECREF(py_frame);
  }
  
  /* 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;\
      }
  
  /* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int32_t(int32_t value) {
      const int32_t neg_one = (int32_t) ((int32_t) 0 - (int32_t) 1), const_zero = (int32_t) 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(int32_t) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(int32_t) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(int32_t) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(int32_t) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(int32_t) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
  #endif
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(int32_t),
                                       little, !is_unsigned);
      }
  }
  
  /* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
      const int neg_one = (int) ((int) 0 - (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);
      }
  }
  
  /* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
      const long neg_one = (long) ((long) 0 - (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);
      }
  }
  
  /* CIntFromPy */
  static CYTHON_INLINE int32_t __Pyx_PyInt_As_int32_t(PyObject *x) {
      const int32_t neg_one = (int32_t) ((int32_t) 0 - (int32_t) 1), const_zero = (int32_t) 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_Check(x))) {
          if (sizeof(int32_t) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(int32_t, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (int32_t) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int32_t) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(int32_t, digit, digits[0])
                  case 2:
                      if (8 * sizeof(int32_t) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int32_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int32_t) >= 2 * PyLong_SHIFT) {
                              return (int32_t) (((((int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(int32_t) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int32_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int32_t) >= 3 * PyLong_SHIFT) {
                              return (int32_t) (((((((int32_t)digits[2]) << PyLong_SHIFT) | (int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(int32_t) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int32_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int32_t) >= 4 * PyLong_SHIFT) {
                              return (int32_t) (((((((((int32_t)digits[3]) << PyLong_SHIFT) | (int32_t)digits[2]) << PyLong_SHIFT) | (int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0]));
                          }
                      }
                      break;
              }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
  #else
              {
                  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                  if (unlikely(result < 0))
                      return (int32_t) -1;
                  if (unlikely(result == 1))
                      goto raise_neg_overflow;
              }
  #endif
              if (sizeof(int32_t) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int32_t, unsigned long, PyLong_AsUnsignedLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(int32_t) <= sizeof(unsigned PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int32_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
  #endif
              }
          } else {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int32_t) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(int32_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                  case  1: __PYX_VERIFY_RETURN_INT(int32_t,  digit, +digits[0])
                  case -2:
                      if (8 * sizeof(int32_t) - 1 > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int32_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int32_t) - 1 > 2 * PyLong_SHIFT) {
                              return (int32_t) (((int32_t)-1)*(((((int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if (8 * sizeof(int32_t) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int32_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int32_t) - 1 > 2 * PyLong_SHIFT) {
                              return (int32_t) ((((((int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if (8 * sizeof(int32_t) - 1 > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int32_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int32_t) - 1 > 3 * PyLong_SHIFT) {
                              return (int32_t) (((int32_t)-1)*(((((((int32_t)digits[2]) << PyLong_SHIFT) | (int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(int32_t) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int32_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int32_t) - 1 > 3 * PyLong_SHIFT) {
                              return (int32_t) ((((((((int32_t)digits[2]) << PyLong_SHIFT) | (int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if (8 * sizeof(int32_t) - 1 > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int32_t, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int32_t) - 1 > 4 * PyLong_SHIFT) {
                              return (int32_t) (((int32_t)-1)*(((((((((int32_t)digits[3]) << PyLong_SHIFT) | (int32_t)digits[2]) << PyLong_SHIFT) | (int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(int32_t) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int32_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int32_t) - 1 > 4 * PyLong_SHIFT) {
                              return (int32_t) ((((((((((int32_t)digits[3]) << PyLong_SHIFT) | (int32_t)digits[2]) << PyLong_SHIFT) | (int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0])));
                          }
                      }
                      break;
              }
  #endif
              if (sizeof(int32_t) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int32_t, long, PyLong_AsLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(int32_t) <= sizeof(PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int32_t, PY_LONG_LONG, PyLong_AsLongLong(x))
  #endif
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              int32_t val;
              PyObject *v = __Pyx_PyNumber_IntOrLong(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (int32_t) -1;
          }
      } else {
          int32_t val;
          PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
          if (!tmp) return (int32_t) -1;
          val = __Pyx_PyInt_As_int32_t(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to int32_t");
      return (int32_t) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to int32_t");
      return (int32_t) -1;
  }
  
  /* CIntFromPy */
  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
      const int neg_one = (int) ((int) 0 - (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) ((long) 0 - (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;
  }
  
  /* FastTypeChecks */
  #if CYTHON_COMPILING_IN_CPYTHON
  static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
      while (a) {
          a = a->tp_base;
          if (a == b)
              return 1;
      }
      return b == &PyBaseObject_Type;
  }
  static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
      PyObject *mro;
      if (a == b) return 1;
      mro = a->tp_mro;
      if (likely(mro)) {
          Py_ssize_t i, n;
          n = PyTuple_GET_SIZE(mro);
          for (i = 0; i < n; i++) {
              if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                  return 1;
          }
          return 0;
      }
      return __Pyx_InBases(a, b);
  }
  #if PY_MAJOR_VERSION == 2
  static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
      PyObject *exception, *value, *tb;
      int res;
      __Pyx_PyThreadState_declare
      __Pyx_PyThreadState_assign
      __Pyx_ErrFetch(&exception, &value, &tb);
      res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
      if (unlikely(res == -1)) {
          PyErr_WriteUnraisable(err);
          res = 0;
      }
      if (!res) {
          res = PyObject_IsSubclass(err, exc_type2);
          if (unlikely(res == -1)) {
              PyErr_WriteUnraisable(err);
              res = 0;
          }
      }
      __Pyx_ErrRestore(exception, value, tb);
      return res;
  }
  #else
  static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
      int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
      if (!res) {
          res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
      }
      return res;
  }
  #endif
  static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
      Py_ssize_t i, n;
      assert(PyExceptionClass_Check(exc_type));
      n = PyTuple_GET_SIZE(tuple);
  #if PY_MAJOR_VERSION >= 3
      for (i=0; i<n; i++) {
          if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
      }
  #endif
      for (i=0; i<n; i++) {
          PyObject *t = PyTuple_GET_ITEM(tuple, i);
          #if PY_MAJOR_VERSION < 3
          if (likely(exc_type == t)) return 1;
          #endif
          if (likely(PyExceptionClass_Check(t))) {
              if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
          } else {
          }
      }
      return 0;
  }
  static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
      if (likely(err == exc_type)) return 1;
      if (likely(PyExceptionClass_Check(err))) {
          if (likely(PyExceptionClass_Check(exc_type))) {
              return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
          } else if (likely(PyTuple_Check(exc_type))) {
              return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
          } else {
          }
      }
      return PyErr_GivenExceptionMatches(err, exc_type);
  }
  static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
      assert(PyExceptionClass_Check(exc_type1));
      assert(PyExceptionClass_Check(exc_type2));
      if (likely(err == exc_type1 || err == exc_type2)) return 1;
      if (likely(PyExceptionClass_Check(err))) {
          return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
      }
      return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
  }
  #endif
  
  /* CheckBinaryVersion */
  static int __Pyx_check_binary_version(void) {
      char ctversion[4], rtversion[4];
      PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
      PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
      if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
          char message[200];
          PyOS_snprintf(message, sizeof(message),
                        "compiletime version %s of module '%.100s' "
                        "does not match runtime version %s",
                        ctversion, __Pyx_MODULE_NAME, rtversion);
          return PyErr_WarnEx(NULL, message, 1);
      }
      return 0;
  }
  
  /* FunctionImport */
  #ifndef __PYX_HAVE_RT_ImportFunction
  #define __PYX_HAVE_RT_ImportFunction
  static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
      PyObject *d = 0;
      PyObject *cobj = 0;
      union {
          void (*fp)(void);
          void *p;
      } tmp;
      d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
      if (!d)
          goto bad;
      cobj = PyDict_GetItemString(d, funcname);
      if (!cobj) {
          PyErr_Format(PyExc_ImportError,
              "%.200s does not export expected C function %.200s",
                  PyModule_GetName(module), funcname);
          goto bad;
      }
  #if PY_VERSION_HEX >= 0x02070000
      if (!PyCapsule_IsValid(cobj, sig)) {
          PyErr_Format(PyExc_TypeError,
              "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
               PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
          goto bad;
      }
      tmp.p = PyCapsule_GetPointer(cobj, sig);
  #else
      {const char *desc, *s1, *s2;
      desc = (const char *)PyCObject_GetDesc(cobj);
      if (!desc)
          goto bad;
      s1 = desc; s2 = sig;
      while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
      if (*s1 != *s2) {
          PyErr_Format(PyExc_TypeError,
              "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
               PyModule_GetName(module), funcname, sig, desc);
          goto bad;
      }
      tmp.p = PyCObject_AsVoidPtr(cobj);}
  #endif
      *f = tmp.fp;
      if (!(*f))
          goto bad;
      Py_DECREF(d);
      return 0;
  bad:
      Py_XDECREF(d);
      return -1;
  }
  #endif
  
  /* InitStrings */
  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
      while (t->p) {
          #if PY_MAJOR_VERSION < 3
          if (t->is_unicode) {
              *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
          } else if (t->intern) {
              *t->p = PyString_InternFromString(t->s);
          } else {
              *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
          }
          #else
          if (t->is_unicode | t->is_str) {
              if (t->intern) {
                  *t->p = PyUnicode_InternFromString(t->s);
              } else if (t->encoding) {
                  *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
              } else {
                  *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
              }
          } else {
              *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
          }
          #endif
          if (!*t->p)
              return -1;
          if (PyObject_Hash(*t->p) == -1)
              return -1;
          ++t;
      }
      return 0;
  }
  
  static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
      return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
  }
  static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
      Py_ssize_t ignore;
      return __Pyx_PyObject_AsStringAndSize(o, &ignore);
  }
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
  #if !CYTHON_PEP393_ENABLED
  static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
      char* defenc_c;
      PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
      if (!defenc) return NULL;
      defenc_c = PyBytes_AS_STRING(defenc);
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
      {
          char* end = defenc_c + PyBytes_GET_SIZE(defenc);
          char* c;
          for (c = defenc_c; c < end; c++) {
              if ((unsigned char) (*c) >= 128) {
                  PyUnicode_AsASCIIString(o);
                  return NULL;
              }
          }
      }
  #endif
      *length = PyBytes_GET_SIZE(defenc);
      return defenc_c;
  }
  #else
  static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
      if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
      if (likely(PyUnicode_IS_ASCII(o))) {
          *length = PyUnicode_GET_LENGTH(o);
          return PyUnicode_AsUTF8(o);
      } else {
          PyUnicode_AsASCIIString(o);
          return NULL;
      }
  #else
      return PyUnicode_AsUTF8AndSize(o, length);
  #endif
  }
  #endif
  #endif
  static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
      if (
  #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
              __Pyx_sys_getdefaultencoding_not_ascii &&
  #endif
              PyUnicode_Check(o)) {
          return __Pyx_PyUnicode_AsStringAndSize(o, length);
      } else
  #endif
  #if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
      if (PyByteArray_Check(o)) {
          *length = PyByteArray_GET_SIZE(o);
          return PyByteArray_AS_STRING(o);
      } else
  #endif
      {
          char* result;
          int r = PyBytes_AsStringAndSize(o, &result, length);
          if (unlikely(r < 0)) {
              return NULL;
          } else {
              return result;
          }
      }
  }
  static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
     int is_true = x == Py_True;
     if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
     else return PyObject_IsTrue(x);
  }
  static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
      int retval;
      if (unlikely(!x)) return -1;
      retval = __Pyx_PyObject_IsTrue(x);
      Py_DECREF(x);
      return retval;
  }
  static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
  #if PY_MAJOR_VERSION >= 3
      if (PyLong_Check(result)) {
          if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                  "__int__ returned non-int (type %.200s).  "
                  "The ability to return an instance of a strict subclass of int "
                  "is deprecated, and may be removed in a future version of Python.",
                  Py_TYPE(result)->tp_name)) {
              Py_DECREF(result);
              return NULL;
          }
          return result;
      }
  #endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   type_name, type_name, Py_TYPE(result)->tp_name);
      Py_DECREF(result);
      return NULL;
  }
  static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
  #if CYTHON_USE_TYPE_SLOTS
    PyNumberMethods *m;
  #endif
    const char *name = NULL;
    PyObject *res = NULL;
  #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x) || PyLong_Check(x)))
  #else
    if (likely(PyLong_Check(x)))
  #endif
      return __Pyx_NewRef(x);
  #if CYTHON_USE_TYPE_SLOTS
    m = Py_TYPE(x)->tp_as_number;
    #if PY_MAJOR_VERSION < 3
    if (m && m->nb_int) {
      name = "int";
      res = m->nb_int(x);
    }
    else if (m && m->nb_long) {
      name = "long";
      res = m->nb_long(x);
    }
    #else
    if (likely(m && m->nb_int)) {
      name = "int";
      res = m->nb_int(x);
    }
    #endif
  #else
    if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
      res = PyNumber_Int(x);
    }
  #endif
    if (likely(res)) {
  #if PY_MAJOR_VERSION < 3
      if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
  #else
      if (unlikely(!PyLong_CheckExact(res))) {
  #endif
          return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
      }
    }
    else if (!PyErr_Occurred()) {
      PyErr_SetString(PyExc_TypeError,
                      "an integer is required");
    }
    return res;
  }
  static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
    Py_ssize_t ival;
    PyObject *x;
  #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(b))) {
      if (sizeof(Py_ssize_t) >= sizeof(long))
          return PyInt_AS_LONG(b);
      else
          return PyInt_AsSsize_t(b);
    }
  #endif
    if (likely(PyLong_CheckExact(b))) {
      #if CYTHON_USE_PYLONG_INTERNALS
      const digit* digits = ((PyLongObject*)b)->ob_digit;
      const Py_ssize_t size = Py_SIZE(b);
      if (likely(__Pyx_sst_abs(size) <= 1)) {
          ival = likely(size) ? digits[0] : 0;
          if (size == -1) ival = -ival;
          return ival;
      } else {
        switch (size) {
           case 2:
             if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
               return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case -2:
             if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
               return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case 3:
             if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
               return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case -3:
             if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
               return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case 4:
             if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
               return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case -4:
             if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
               return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
        }
      }
      #endif
      return PyLong_AsSsize_t(b);
    }
    x = PyNumber_Index(b);
    if (!x) return -1;
    ival = PyInt_AsSsize_t(x);
    Py_DECREF(x);
    return ival;
  }
  static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
    return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
  }
  static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
      return PyInt_FromSize_t(ival);
  }
  
  
  #endif /* Py_PYTHON_H */
  