/* Generated by Cython 0.29.30 */

#ifndef PY_SSIZE_T_CLEAN
#define PY_SSIZE_T_CLEAN
#endif /* 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_30"
#define CYTHON_HEX_VERSION 0x001D1EF0
#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
#endif
#ifdef PYPY_VERSION
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #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
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC (PYPY_VERSION_HEX >= 0x07030900)
  #endif
#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
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
#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 || PY_VERSION_HEX >= 0x030B00A2
    #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
  #if PY_VERSION_HEX >= 0x030B00A4
    #undef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 0
  #elif !defined(CYTHON_FAST_THREAD_STATE)
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL (PY_VERSION_HEX < 0x030A0000)
  #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
  #if PY_VERSION_HEX >= 0x030B00A4
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 0
  #elif !defined(CYTHON_USE_EXC_INFO_STACK)
    #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
  #endif
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_MAJOR_VERSION < 3
    #include "longintrepr.h"
  #endif
  #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"
  #define __Pyx_DefaultClassType PyType_Type
#if PY_VERSION_HEX >= 0x030B00A1
    static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, int k, int l, int s, int f,
                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                    PyObject *fv, PyObject *cell, PyObject* fn,
                                                    PyObject *name, int fline, PyObject *lnos) {
        PyObject *kwds=NULL, *argcount=NULL, *posonlyargcount=NULL, *kwonlyargcount=NULL;
        PyObject *nlocals=NULL, *stacksize=NULL, *flags=NULL, *replace=NULL, *call_result=NULL, *empty=NULL;
        const char *fn_cstr=NULL;
        const char *name_cstr=NULL;
        PyCodeObject* co=NULL;
        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        if (!(kwds=PyDict_New())) goto end;
        if (!(argcount=PyLong_FromLong(a))) goto end;
        if (PyDict_SetItemString(kwds, "co_argcount", argcount) != 0) goto end;
        if (!(posonlyargcount=PyLong_FromLong(0))) goto end;
        if (PyDict_SetItemString(kwds, "co_posonlyargcount", posonlyargcount) != 0) goto end;
        if (!(kwonlyargcount=PyLong_FromLong(k))) goto end;
        if (PyDict_SetItemString(kwds, "co_kwonlyargcount", kwonlyargcount) != 0) goto end;
        if (!(nlocals=PyLong_FromLong(l))) goto end;
        if (PyDict_SetItemString(kwds, "co_nlocals", nlocals) != 0) goto end;
        if (!(stacksize=PyLong_FromLong(s))) goto end;
        if (PyDict_SetItemString(kwds, "co_stacksize", stacksize) != 0) goto end;
        if (!(flags=PyLong_FromLong(f))) goto end;
        if (PyDict_SetItemString(kwds, "co_flags", flags) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_code", code) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_consts", c) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_names", n) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_varnames", v) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_freevars", fv) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_cellvars", cell) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_linetable", lnos) != 0) goto end;
        if (!(fn_cstr=PyUnicode_AsUTF8AndSize(fn, NULL))) goto end;
        if (!(name_cstr=PyUnicode_AsUTF8AndSize(name, NULL))) goto end;
        if (!(co = PyCode_NewEmpty(fn_cstr, name_cstr, fline))) goto end;
        if (!(replace = PyObject_GetAttrString((PyObject*)co, "replace"))) goto cleanup_code_too;
        if (!(empty = PyTuple_New(0))) goto cleanup_code_too; // unfortunately __pyx_empty_tuple isn't available here
        if (!(call_result = PyObject_Call(replace, empty, kwds))) goto cleanup_code_too;
        Py_XDECREF((PyObject*)co);
        co = (PyCodeObject*)call_result;
        call_result = NULL;
        if (0) {
            cleanup_code_too:
            Py_XDECREF((PyObject*)co);
            co = NULL;
        }
        end:
        Py_XDECREF(kwds);
        Py_XDECREF(argcount);
        Py_XDECREF(posonlyargcount);
        Py_XDECREF(kwonlyargcount);
        Py_XDECREF(nlocals);
        Py_XDECREF(stacksize);
        Py_XDECREF(replace);
        Py_XDECREF(call_result);
        Py_XDECREF(empty);
        if (type) {
            PyErr_Restore(type, value, traceback);
        }
        return co;
    }
#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
  #if defined(PyUnicode_IS_READY)
  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                              0 : _PyUnicode_Ready((PyObject *)(op)))
  #else
  #define __Pyx_PyUnicode_READY(op)       (0)
  #endif
  #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)
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  #if defined(PyUnicode_IS_READY) && defined(PyUnicode_GET_SIZE)
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
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  #else
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  #endif
  #else
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #endif
#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
#ifndef PyObject_Unicode
  #define PyObject_Unicode             PyObject_Str
#endif
#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 PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#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   __Pyx_PyIndex_AsHash_t
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsSsize_t
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif

#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)
  #if !defined(_USE_MATH_DEFINES)
    #define _USE_MATH_DEFINES
  #endif
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif

#define __PYX_MARK_ERR_POS(f_index, lineno) \
    { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }
#define __PYX_ERR(f_index, lineno, Ln_error) \
    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }

#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#define __PYX_HAVE__python__lhapdf
#define __PYX_HAVE_API__python__lhapdf
/* Early includes */
#include <string.h>
#include <string>
#include "ios"
#include "new"
#include "stdexcept"
#include "typeinfo"
#include <utility>

    #if __cplusplus >= 201103L || (defined(_MSC_VER) && _MSC_VER >= 1600)
    // move should be defined for these versions of MSVC, but __cplusplus isn't set usefully
    #include <type_traits>

    namespace cython_std {
    template <typename T> typename std::remove_reference<T>::type&& move(T& t) noexcept { return std::move(t); }
    template <typename T> typename std::remove_reference<T>::type&& move(T&& t) noexcept { return std::move(t); }
    }

    #endif
    
#include <map>
#include <vector>
#include "../../include/LHAPDF/Version.h"
#include "../../include/LHAPDF/Paths.h"
#include "../../include/LHAPDF/PDF.h"
#include "../../include/LHAPDF/Info.h"
#include "../../include/LHAPDF/Config.h"
#include "../../include/LHAPDF/PDFSet.h"
#include "../../include/LHAPDF/AlphaS.h"
#include "../../include/LHAPDF/PDFInfo.h"
#include "../../include/LHAPDF/Factories.h"
#include "../../include/LHAPDF/Reweighting.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 1
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#define __PYX_DEFAULT_STRING_ENCODING "utf8"
#define __Pyx_PyObject_FromString __Pyx_PyStr_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyStr_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);
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
#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[] = {
  "lhapdf.pyx",
  "stringsource",
};

/*--- Type declarations ---*/
struct __pyx_obj_6python_6lhapdf_PDF;
struct __pyx_obj_6python_6lhapdf_Info;
struct __pyx_obj_6python_6lhapdf_PDFUncertainty;
struct __pyx_obj_6python_6lhapdf_PDFErrInfo;
struct __pyx_obj_6python_6lhapdf_PDFSet;
struct __pyx_obj_6python_6lhapdf_PDFInfo;
struct __pyx_obj_6python_6lhapdf_AlphaS;
struct __pyx_obj___Pyx_EnumMeta;

/* "python/lhapdf.pyx":25
 * 
 * 
 * cpdef enum FlavorScheme:             # <<<<<<<<<<<<<<
 *     # "Available flavour-number schemes for alpha_s running"
 *     FIXED = 0, VARIABLE
 */
enum __pyx_t_6python_6lhapdf_FlavorScheme {
  __pyx_e_6python_6lhapdf_FIXED = 0,
  __pyx_e_6python_6lhapdf_VARIABLE
};

/* "python/lhapdf.pyx":29
 *     FIXED = 0, VARIABLE
 * 
 * cpdef enum PIDCode:             # <<<<<<<<<<<<<<
 *     # "Standard PDF parton ID codes"
 *     ATOP=-6, ABOTTOM=-5, ACHARM=-4, ASTRANGE=-3, AUP=-2, ADOWN=-1,
 */
enum __pyx_t_6python_6lhapdf_PIDCode {
  __pyx_e_6python_6lhapdf_ATOP = -6L,
  __pyx_e_6python_6lhapdf_ABOTTOM = -5L,
  __pyx_e_6python_6lhapdf_ACHARM = -4L,
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/* "python/lhapdf.pyx":36
 * 
 * 
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 *     """\
 *     A parton density function for in general several parton flavours,
 */
struct __pyx_obj_6python_6lhapdf_PDF {
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/* "python/lhapdf.pyx":251
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struct __pyx_obj_6python_6lhapdf_Info {
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struct __pyx_obj_6python_6lhapdf_PDFUncertainty {
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};


/* "python/lhapdf.pyx":426
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struct __pyx_obj_6python_6lhapdf_PDFErrInfo {
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};


/* "python/lhapdf.pyx":474
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/* "python/lhapdf.pyx":653
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/* "python/lhapdf.pyx":36
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 * 
 * cdef class PDF:             # <<<<<<<<<<<<<<
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 *     A parton density function for in general several parton flavours,
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struct __pyx_vtabstruct_6python_6lhapdf_PDF {
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struct __pyx_vtabstruct_6python_6lhapdf_Info {
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/* "python/lhapdf.pyx":303
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/* "python/lhapdf.pyx":426
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struct __pyx_vtabstruct_6python_6lhapdf_PDFErrInfo {
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struct __pyx_vtabstruct_6python_6lhapdf_PDFSet {
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/* "python/lhapdf.pyx":615
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 */

struct __pyx_vtabstruct_6python_6lhapdf_PDFInfo {
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/* "python/lhapdf.pyx":653
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 */

struct __pyx_vtabstruct_6python_6lhapdf_AlphaS {
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/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

/* IncludeStringH.proto */
#include <string.h>

/* BytesEquals.proto */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

/* UnicodeEquals.proto */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);

/* StrEquals.proto */
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
#else
#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
#endif

/* GetItemInt.proto */
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck);

/* ArgTypeTest.proto */
#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
    ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\
        __Pyx__ArgTypeTest(obj, type, name, exact))
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);

/* PyObjectSetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o, n, NULL)
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value);
#else
#define __Pyx_PyObject_DelAttrStr(o,n)   PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
#endif

/* ObjectGetItem.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key);
#else
#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)
#endif

/* GetAttr.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);

/* GetAttr3.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);

/* PySequenceContains.proto */
static CYTHON_INLINE int __Pyx_PySequence_ContainsTF(PyObject* item, PyObject* seq, int eq) {
    int result = PySequence_Contains(seq, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

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

/* HasAttr.proto */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);

/* CallNextTpTraverse.proto */
static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse);

/* CallNextTpClear.proto */
static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_dealloc);

/* PyObject_GenericGetAttrNoDict.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
#endif

/* PyObject_GenericGetAttr.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
#endif

/* SetVTable.proto */
static int __Pyx_SetVtable(PyObject *dict, void *vtable);

/* PyObjectGetAttrStrNoError.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);

/* SetupReduce.proto */
static int __Pyx_setup_reduce(PyObject* type_obj);

/* CalculateMetaclass.proto */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);

/* SetNameInClass.proto */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? _PyDict_SetItem_KnownHash(ns, name, value, ((PyASCIIObject *) name)->hash) : PyObject_SetItem(ns, name, value))
#elif CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? PyDict_SetItem(ns, name, value) : PyObject_SetItem(ns, name, value))
#else
#define __Pyx_SetNameInClass(ns, name, value)  PyObject_SetItem(ns, name, value)
#endif

/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);

/* CythonFunctionShared.proto */
#define __Pyx_CyFunction_USED 1
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#define __Pyx_CyFunction_GetClassObj(f)\
    (((__pyx_CyFunctionObject *) (f))->func_classobj)
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
    PyCFunctionObject func;
#if PY_VERSION_HEX < 0x030500A0
    PyObject *func_weakreflist;
#endif
    PyObject *func_dict;
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
    PyObject *func_classobj;
    void *defaults;
    int defaults_pyobjects;
    size_t defaults_size;  // used by FusedFunction for copying defaults
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
} __pyx_CyFunctionObject;
static PyTypeObject *__pyx_CyFunctionType = 0;
#define __Pyx_CyFunction_Check(obj)  (__Pyx_TypeCheck(obj, __pyx_CyFunctionType))
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *self,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(void);

/* CythonFunction.proto */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);

/* Py3ClassCreate.proto */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
                                           PyObject *mkw, PyObject *modname, PyObject *doc);
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,
                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass);

/* Globals.proto */
static PyObject* __Pyx_Globals(void);

/* CLineInTraceback.proto */
#ifdef CYTHON_CLINE_IN_TRACEBACK
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#else
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#endif

/* CodeObjectCache.proto */
typedef struct {
    PyCodeObject* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);

/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

/* GCCDiagnostics.proto */
#if defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define __Pyx_HAS_GCC_DIAGNOSTIC
#endif

/* CppExceptionConversion.proto */
#ifndef __Pyx_CppExn2PyErr
#include <new>
#include <typeinfo>
#include <stdexcept>
#include <ios>
static void __Pyx_CppExn2PyErr() {
  try {
    if (PyErr_Occurred())
      ; // let the latest Python exn pass through and ignore the current one
    else
      throw;
  } catch (const std::bad_alloc& exn) {
    PyErr_SetString(PyExc_MemoryError, exn.what());
  } catch (const std::bad_cast& exn) {
    PyErr_SetString(PyExc_TypeError, exn.what());
  } catch (const std::bad_typeid& exn) {
    PyErr_SetString(PyExc_TypeError, exn.what());
  } catch (const std::domain_error& exn) {
    PyErr_SetString(PyExc_ValueError, exn.what());
  } catch (const std::invalid_argument& exn) {
    PyErr_SetString(PyExc_ValueError, exn.what());
  } catch (const std::ios_base::failure& exn) {
    PyErr_SetString(PyExc_IOError, exn.what());
  } catch (const std::out_of_range& exn) {
    PyErr_SetString(PyExc_IndexError, exn.what());
  } catch (const std::overflow_error& exn) {
    PyErr_SetString(PyExc_OverflowError, exn.what());
  } catch (const std::range_error& exn) {
    PyErr_SetString(PyExc_ArithmeticError, exn.what());
  } catch (const std::underflow_error& exn) {
    PyErr_SetString(PyExc_ArithmeticError, exn.what());
  } catch (const std::exception& exn) {
    PyErr_SetString(PyExc_RuntimeError, exn.what());
  }
  catch (...)
  {
    PyErr_SetString(PyExc_RuntimeError, "Unknown exception");
  }
}
#endif

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

/* CIntFromPy.proto */
static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE LHAPDF::AlphaS::FlavorScheme __Pyx_PyInt_As_LHAPDF_3a__3a_AlphaS_3a__3a_FlavorScheme(PyObject *);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum____pyx_t_6python_6lhapdf_FlavorScheme(enum __pyx_t_6python_6lhapdf_FlavorScheme value);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_LHAPDF_3a__3a_AlphaS_3a__3a_FlavorScheme(LHAPDF::AlphaS::FlavorScheme value);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum____pyx_t_6python_6lhapdf_PIDCode(enum __pyx_t_6python_6lhapdf_PIDCode value);

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

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

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

static PyObject *__pyx_f_6python_6lhapdf_3PDF_set_ptr(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, LHAPDF::PDF *__pyx_v_ptr); /* proto*/
static PyObject *__pyx_f_6python_6lhapdf_3PDF__set(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_6python_6lhapdf_3PDF__info(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_6python_6lhapdf_4Info_set_ptr(struct __pyx_obj_6python_6lhapdf_Info *__pyx_v_self, LHAPDF::Info *__pyx_v_ptr); /* proto*/
static PyObject *__pyx_f_6python_6lhapdf_14PDFUncertainty_set_ptr(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self, struct LHAPDF::PDFUncertainty *__pyx_v_ptr); /* proto*/
static PyObject *__pyx_f_6python_6lhapdf_10PDFErrInfo_set_ptr(struct __pyx_obj_6python_6lhapdf_PDFErrInfo *__pyx_v_self, struct LHAPDF::PDFErrInfo *__pyx_v_ptr); /* proto*/
static PyObject *__pyx_f_6python_6lhapdf_6PDFSet_set_ptr(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self, LHAPDF::PDFSet *__pyx_v_ptr); /* proto*/
static PyObject *__pyx_f_6python_6lhapdf_7PDFInfo_set_parent(struct __pyx_obj_6python_6lhapdf_PDFInfo *__pyx_v_self, PyObject *__pyx_v_parent); /* proto*/
static PyObject *__pyx_f_6python_6lhapdf_6AlphaS_set_ptr(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, LHAPDF::AlphaS *__pyx_v_ptr); /* proto*/
static PyObject *__pyx_f_6python_6lhapdf_6AlphaS_set_parent(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, PyObject *__pyx_v_parent); /* proto*/

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

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

/* Module declarations from 'libcpp.utility' */

/* Module declarations from 'libcpp.map' */

/* Module declarations from 'libcpp.vector' */

/* Module declarations from 'libcpp.pair' */

/* Module declarations from 'libcpp' */

/* Module declarations from 'python.clhapdf' */

/* Module declarations from 'python.lhapdf' */
static PyTypeObject *__pyx_ptype_6python_6lhapdf_PDF = 0;
static PyTypeObject *__pyx_ptype_6python_6lhapdf_Info = 0;
static PyTypeObject *__pyx_ptype_6python_6lhapdf_PDFUncertainty = 0;
static PyTypeObject *__pyx_ptype_6python_6lhapdf_PDFErrInfo = 0;
static PyTypeObject *__pyx_ptype_6python_6lhapdf_PDFSet = 0;
static PyTypeObject *__pyx_ptype_6python_6lhapdf_PDFInfo = 0;
static PyTypeObject *__pyx_ptype_6python_6lhapdf_AlphaS = 0;
static PyTypeObject *__pyx_ptype___Pyx_EnumMeta = 0;
static PyObject *__Pyx_OrderedDict = 0;
static PyObject *__Pyx_EnumBase = 0;
static PyObject *__Pyx_globals = 0;
static PyObject *__pyx_f_6python_6lhapdf_mkPDF_setmem(std::string, int); /*proto*/
static PyObject *__pyx_f_6python_6lhapdf_mkPDF_lhaid(int); /*proto*/
static PyObject *__pyx_f_6python_6lhapdf_mkPDF_setmemstr(std::string); /*proto*/
static PyObject *__pyx_f_6python_6lhapdf_mkAlphaS_setmem(std::string, int); /*proto*/
static PyObject *__pyx_f_6python_6lhapdf_mkAlphaS_lhaid(int); /*proto*/
static PyObject *__pyx_f_6python_6lhapdf_mkAlphaS_setmemstr(std::string); /*proto*/
static PyObject *__pyx_f_6python_6lhapdf_mkBareAlphaS_(std::string); /*proto*/
static CYTHON_INLINE PyObject *__pyx_convert_PyObject_string_to_py_std__in_string(std::string const &); /*proto*/
static CYTHON_INLINE PyObject *__pyx_convert_PyUnicode_string_to_py_std__in_string(std::string const &); /*proto*/
static CYTHON_INLINE PyObject *__pyx_convert_PyStr_string_to_py_std__in_string(std::string const &); /*proto*/
static CYTHON_INLINE PyObject *__pyx_convert_PyBytes_string_to_py_std__in_string(std::string const &); /*proto*/
static CYTHON_INLINE PyObject *__pyx_convert_PyByteArray_string_to_py_std__in_string(std::string const &); /*proto*/
static std::string __pyx_convert_string_from_py_std__in_string(PyObject *); /*proto*/
static PyObject *__pyx_convert_pair_to_py_double____double(std::pair<double,double>  const &); /*proto*/
static PyObject *__pyx_convert_vector_to_py_std_3a__3a_pair_3c_double_2c_double_3e___(const std::vector<std::pair<double,double> >  &); /*proto*/
static PyObject *__pyx_convert_pair_to_py_std_3a__3a_string____size_t(std::pair<std::string,size_t>  const &); /*proto*/
static PyObject *__pyx_convert_vector_to_py_std_3a__3a_pair_3c_std_3a__3a_string_2c_size_t_3e___(const std::vector<std::pair<std::string,size_t> >  &); /*proto*/
static PyObject *__pyx_convert_vector_to_py_std_3a__3a_vector_3c_std_3a__3a_pair_3c_std_3a__3a_string_2c_size_t_3e____3e___(const std::vector<std::vector<std::pair<std::string,size_t> > >  &); /*proto*/
static PyObject *__pyx_convert_vector_to_py_std_3a__3a_string(const std::vector<std::string>  &); /*proto*/
static std::vector<double>  __pyx_convert_vector_from_py_double(PyObject *); /*proto*/
static std::vector<std::string>  __pyx_convert_vector_from_py_std_3a__3a_string(PyObject *); /*proto*/
static PyObject *__pyx_unpickle___Pyx_EnumMeta__set_state(struct __pyx_obj___Pyx_EnumMeta *, PyObject *); /*proto*/
#define __Pyx_MODULE_NAME "python.lhapdf"
extern int __pyx_module_is_main_python__lhapdf;
int __pyx_module_is_main_python__lhapdf = 0;

/* Implementation of 'python.lhapdf' */
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_xrange;
static PyObject *__pyx_builtin_print;
static PyObject *__pyx_builtin_range;
static const char __pyx_k_Q[] = "Q";
static const char __pyx_k_q[] = "q";
static const char __pyx_k_v[] = "v";
static const char __pyx_k_x[] = "x";
static const char __pyx_k_Q2[] = "Q2";
static const char __pyx_k_UP[] = "UP";
static const char __pyx_k_cl[] = "cl";
static const char __pyx_k_id[] = "id";
static const char __pyx_k_nf[] = "nf";
static const char __pyx_k_q2[] = "q2";
static const char __pyx_k_x1[] = "x1";
static const char __pyx_k_x2[] = "x2";
static const char __pyx_k_AUP[] = "AUP";
static const char __pyx_k_PDF[] = "PDF";
static const char __pyx_k_TOP[] = "TOP";
static const char __pyx_k_ast[] = "ast";
static const char __pyx_k_cls[] = "cls";
static const char __pyx_k_dct[] = "dct";
static const char __pyx_k_doc[] = "__doc__";
static const char __pyx_k_id1[] = "id1";
static const char __pyx_k_id2[] = "id2";
static const char __pyx_k_key[] = "key";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_obj[] = "obj";
static const char __pyx_k_ptr[] = "ptr";
static const char __pyx_k_res[] = "res";
static const char __pyx_k_s_s[] = "%s.%s";
static const char __pyx_k_str[] = "__str__";
static const char __pyx_k_val[] = "val";
static const char __pyx_k_zip[] = "zip";
static const char __pyx_k_ATOP[] = "ATOP";
static const char __pyx_k_DOWN[] = "DOWN";
static const char __pyx_k_Info[] = "Info";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_enum[] = "enum";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_izip[] = "izip";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_name[] = "name";
static const char __pyx_k_objs[] = "objs";
static const char __pyx_k_path[] = "path";
static const char __pyx_k_ptrs[] = "ptrs";
static const char __pyx_k_real[] = "real";
static const char __pyx_k_repr[] = "__repr__";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_text[] = "text";
static const char __pyx_k_utf8[] = "utf8";
static const char __pyx_k_vals[] = "vals";
static const char __pyx_k_xfxQ[] = "xfxQ";
static const char __pyx_k_yaml[] = "yaml";
static const char __pyx_k_ADOWN[] = "ADOWN";
static const char __pyx_k_CHARM[] = "CHARM";
static const char __pyx_k_FIXED[] = "FIXED";
static const char __pyx_k_GLUON[] = "GLUON";
static const char __pyx_k_aschk[] = "aschk";
static const char __pyx_k_class[] = "__class__";
static const char __pyx_k_mkPDF[] = "mkPDF";
static const char __pyx_k_paths[] = "paths";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_s_s_d[] = "<%s.%s: %d>";
static const char __pyx_k_valsA[] = "valsA";
static const char __pyx_k_valsB[] = "valsB";
static const char __pyx_k_value[] = "value";
static const char __pyx_k_xfxQ2[] = "xfxQ2";
static const char __pyx_k_ACHARM[] = "ACHARM";
static const char __pyx_k_AlphaS[] = "AlphaS";
static const char __pyx_k_BOTTOM[] = "BOTTOM";
static const char __pyx_k_PDFSet[] = "PDFSet";
static const char __pyx_k_as_str[] = "as_str";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_errmax[] = "errmax";
static const char __pyx_k_errmin[] = "errmin";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_mkPDFs[] = "mkPDFs";
static const char __pyx_k_module[] = "__module__";
static const char __pyx_k_name_2[] = "__name__";
static const char __pyx_k_newpdf[] = "newpdf";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_scheme[] = "scheme";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_values[] = "values";
static const char __pyx_k_vlevel[] = "vlevel";
static const char __pyx_k_xrange[] = "xrange";
static const char __pyx_k_ABOTTOM[] = "ABOTTOM";
static const char __pyx_k_IntEnum[] = "IntEnum";
static const char __pyx_k_PDFInfo[] = "PDFInfo";
static const char __pyx_k_PIDCode[] = "PIDCode";
static const char __pyx_k_STRANGE[] = "STRANGE";
static const char __pyx_k_as_type[] = "as_type";
static const char __pyx_k_basepdf[] = "basepdf";
static const char __pyx_k_central[] = "central";
static const char __pyx_k_errplus[] = "errplus";
static const char __pyx_k_flavors[] = "flavors";
static const char __pyx_k_members[] = "__members__";
static const char __pyx_k_newpath[] = "newpath";
static const char __pyx_k_parents[] = "parents";
static const char __pyx_k_prepare[] = "__prepare__";
static const char __pyx_k_randoms[] = "randoms";
static const char __pyx_k_setname[] = "setname";
static const char __pyx_k_version[] = "version";
static const char __pyx_k_ASTRANGE[] = "ASTRANGE";
static const char __pyx_k_EnumBase[] = "EnumBase";
static const char __pyx_k_EnumType[] = "EnumType";
static const char __pyx_k_VARIABLE[] = "VARIABLE";
static const char __pyx_k_errminus[] = "errminus";
static const char __pyx_k_fallback[] = "fallback";
static const char __pyx_k_filename[] = "filename";
static const char __pyx_k_findFile[] = "findFile";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_mkAlphaS[] = "mkAlphaS";
static const char __pyx_k_newpaths[] = "newpaths";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_qualname[] = "__qualname__";
static const char __pyx_k_setPaths[] = "setPaths";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_weightxQ[] = "weightxQ";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_full_load[] = "full_load";
static const char __pyx_k_getConfig[] = "getConfig";
static const char __pyx_k_getPDFSet[] = "getPDFSet";
static const char __pyx_k_itertools[] = "itertools";
static const char __pyx_k_metaclass[] = "__metaclass__";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_verbosity[] = "verbosity";
static const char __pyx_k_version_2[] = "__version__";
static const char __pyx_k_weightxQ2[] = "weightxQ2";
static const char __pyx_k_weightxxQ[] = "weightxxQ";
static const char __pyx_k_PDFErrInfo[] = "PDFErrInfo";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_errmax_par[] = "errmax_par";
static const char __pyx_k_errmax_pdf[] = "errmax_pdf";
static const char __pyx_k_errmin_par[] = "errmin_par";
static const char __pyx_k_errmin_pdf[] = "errmin_pdf";
static const char __pyx_k_lhapdf_pyx[] = "lhapdf.pyx";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_symmetrise[] = "symmetrise";
static const char __pyx_k_weightxxQ2[] = "weightxxQ2";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_OrderedDict[] = "OrderedDict";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_alternative[] = "alternative";
static const char __pyx_k_arg0_string[] = "arg0_string";
static const char __pyx_k_collections[] = "collections";
static const char __pyx_k_errplus_par[] = "errplus_par";
static const char __pyx_k_errplus_pdf[] = "errplus_pdf";
static const char __pyx_k_pathsAppend[] = "pathsAppend";
static const char __pyx_k_text_encode[] = "text_encode";
static const char __pyx_k_FlavorScheme[] = "FlavorScheme";
static const char __pyx_k_Pyx_EnumBase[] = "__Pyx_EnumBase";
static const char __pyx_k_errminus_par[] = "errminus_par";
static const char __pyx_k_errminus_pdf[] = "errminus_pdf";
static const char __pyx_k_literal_eval[] = "literal_eval";
static const char __pyx_k_mkBareAlphaS[] = "mkBareAlphaS";
static const char __pyx_k_pathsPrepend[] = "pathsPrepend";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_setVerbosity[] = "setVerbosity";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_python_lhapdf[] = "python.lhapdf";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_PDFUncertainty[] = "PDFUncertainty";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_setFlavorScheme[] = "setFlavorScheme";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_availablePDFSets[] = "availablePDFSets";
static const char __pyx_k_Pyx_EnumBase___new[] = "__Pyx_EnumBase.__new__";
static const char __pyx_k_Pyx_EnumBase___str[] = "__Pyx_EnumBase.__str__";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_Pyx_EnumBase___repr[] = "__Pyx_EnumBase.__repr__";
static const char __pyx_k_Requires_text_input[] = "Requires text input";
static const char __pyx_k_Unknown_enum_value_s[] = "Unknown enum value: '%s'";
static const char __pyx_k_Unknown_call_signature[] = "Unknown call signature";
static const char __pyx_k_pyx_unpickle___Pyx_EnumMeta[] = "__pyx_unpickle___Pyx_EnumMeta";
static const char __pyx_k_Wrong_number_of_arguments_given[] = "Wrong number of arguments given to xfxQ: 2 or 3 required, %d provided";
static const char __pyx_k_Incompatible_checksums_0x_x_vs_0[] = "Incompatible checksums (0x%x vs (0xd41d8cd, 0xe3b0c44, 0xda39a3e) = ())";
static const char __pyx_k_You_can_only_set_the_flavor_sche[] = "You can only set the flavor scheme to FIXED or VARIABLE";
static const char __pyx_k_self__ptr_cannot_be_converted_to[] = "self._ptr cannot be converted to a Python object for pickling";
static const char __pyx_k_Wrong_number_of_arguments_given_2[] = "Wrong number of arguments given to xfxQ2: 2 or 3 required, %d provided";
static PyObject *__pyx_n_s_ABOTTOM;
static PyObject *__pyx_n_s_ACHARM;
static PyObject *__pyx_n_s_ADOWN;
static PyObject *__pyx_n_s_ASTRANGE;
static PyObject *__pyx_n_s_ATOP;
static PyObject *__pyx_n_s_AUP;
static PyObject *__pyx_n_s_AlphaS;
static PyObject *__pyx_n_s_BOTTOM;
static PyObject *__pyx_n_s_CHARM;
static PyObject *__pyx_n_s_DOWN;
static PyObject *__pyx_n_s_EnumBase;
static PyObject *__pyx_n_s_EnumType;
static PyObject *__pyx_n_s_FIXED;
static PyObject *__pyx_n_s_FlavorScheme;
static PyObject *__pyx_n_s_GLUON;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_kp_s_Incompatible_checksums_0x_x_vs_0;
static PyObject *__pyx_n_s_Info;
static PyObject *__pyx_n_s_IntEnum;
static PyObject *__pyx_n_s_OrderedDict;
static PyObject *__pyx_n_s_PDF;
static PyObject *__pyx_n_s_PDFErrInfo;
static PyObject *__pyx_n_s_PDFInfo;
static PyObject *__pyx_n_s_PDFSet;
static PyObject *__pyx_n_s_PDFUncertainty;
static PyObject *__pyx_n_s_PIDCode;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_n_s_Pyx_EnumBase;
static PyObject *__pyx_n_s_Pyx_EnumBase___new;
static PyObject *__pyx_n_s_Pyx_EnumBase___repr;
static PyObject *__pyx_n_s_Pyx_EnumBase___str;
static PyObject *__pyx_n_s_Q;
static PyObject *__pyx_n_s_Q2;
static PyObject *__pyx_kp_s_Requires_text_input;
static PyObject *__pyx_n_s_STRANGE;
static PyObject *__pyx_n_s_TOP;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_n_s_UP;
static PyObject *__pyx_kp_s_Unknown_call_signature;
static PyObject *__pyx_kp_s_Unknown_enum_value_s;
static PyObject *__pyx_n_s_VARIABLE;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_kp_s_Wrong_number_of_arguments_given;
static PyObject *__pyx_kp_s_Wrong_number_of_arguments_given_2;
static PyObject *__pyx_kp_s_You_can_only_set_the_flavor_sche;
static PyObject *__pyx_n_s_alternative;
static PyObject *__pyx_n_s_arg0_string;
static PyObject *__pyx_n_s_args;
static PyObject *__pyx_n_s_as_str;
static PyObject *__pyx_n_s_as_type;
static PyObject *__pyx_n_s_aschk;
static PyObject *__pyx_n_s_ast;
static PyObject *__pyx_n_s_availablePDFSets;
static PyObject *__pyx_n_s_basepdf;
static PyObject *__pyx_n_s_central;
static PyObject *__pyx_n_s_cl;
static PyObject *__pyx_n_s_class;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_cls;
static PyObject *__pyx_n_s_collections;
static PyObject *__pyx_n_s_dct;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_s_doc;
static PyObject *__pyx_n_s_encode;
static PyObject *__pyx_n_s_enum;
static PyObject *__pyx_n_s_errmax;
static PyObject *__pyx_n_s_errmax_par;
static PyObject *__pyx_n_s_errmax_pdf;
static PyObject *__pyx_n_s_errmin;
static PyObject *__pyx_n_s_errmin_par;
static PyObject *__pyx_n_s_errmin_pdf;
static PyObject *__pyx_n_s_errminus;
static PyObject *__pyx_n_s_errminus_par;
static PyObject *__pyx_n_s_errminus_pdf;
static PyObject *__pyx_n_s_errplus;
static PyObject *__pyx_n_s_errplus_par;
static PyObject *__pyx_n_s_errplus_pdf;
static PyObject *__pyx_n_s_fallback;
static PyObject *__pyx_n_s_filename;
static PyObject *__pyx_n_s_findFile;
static PyObject *__pyx_n_s_flavors;
static PyObject *__pyx_n_s_full_load;
static PyObject *__pyx_n_s_getConfig;
static PyObject *__pyx_n_s_getPDFSet;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_n_s_id;
static PyObject *__pyx_n_s_id1;
static PyObject *__pyx_n_s_id2;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_init;
static PyObject *__pyx_n_s_itertools;
static PyObject *__pyx_n_s_izip;
static PyObject *__pyx_n_s_key;
static PyObject *__pyx_kp_s_lhapdf_pyx;
static PyObject *__pyx_n_s_literal_eval;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_members;
static PyObject *__pyx_n_s_metaclass;
static PyObject *__pyx_n_s_mkAlphaS;
static PyObject *__pyx_n_s_mkBareAlphaS;
static PyObject *__pyx_n_s_mkPDF;
static PyObject *__pyx_n_s_mkPDFs;
static PyObject *__pyx_n_s_module;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_name_2;
static PyObject *__pyx_n_s_new;
static PyObject *__pyx_n_s_newpath;
static PyObject *__pyx_n_s_newpaths;
static PyObject *__pyx_n_s_newpdf;
static PyObject *__pyx_n_s_nf;
static PyObject *__pyx_n_s_obj;
static PyObject *__pyx_n_s_objs;
static PyObject *__pyx_n_s_parents;
static PyObject *__pyx_n_s_path;
static PyObject *__pyx_n_s_paths;
static PyObject *__pyx_n_s_pathsAppend;
static PyObject *__pyx_n_s_pathsPrepend;
static PyObject *__pyx_n_s_pickle;
static PyObject *__pyx_n_s_prepare;
static PyObject *__pyx_n_s_print;
static PyObject *__pyx_n_s_ptr;
static PyObject *__pyx_n_s_ptrs;
static PyObject *__pyx_n_s_python_lhapdf;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_checksum;
static PyObject *__pyx_n_s_pyx_result;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_type;
static PyObject *__pyx_n_s_pyx_unpickle___Pyx_EnumMeta;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_q;
static PyObject *__pyx_n_s_q2;
static PyObject *__pyx_n_s_qualname;
static PyObject *__pyx_n_s_randoms;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_real;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_repr;
static PyObject *__pyx_n_s_res;
static PyObject *__pyx_kp_s_s_s;
static PyObject *__pyx_kp_s_s_s_d;
static PyObject *__pyx_n_s_scheme;
static PyObject *__pyx_n_s_self;
static PyObject *__pyx_kp_s_self__ptr_cannot_be_converted_to;
static PyObject *__pyx_n_s_setFlavorScheme;
static PyObject *__pyx_n_s_setPaths;
static PyObject *__pyx_n_s_setVerbosity;
static PyObject *__pyx_n_s_setname;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_str;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_symmetrise;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_text;
static PyObject *__pyx_n_s_text_encode;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_utf8;
static PyObject *__pyx_n_s_v;
static PyObject *__pyx_n_s_val;
static PyObject *__pyx_n_s_vals;
static PyObject *__pyx_n_s_valsA;
static PyObject *__pyx_n_s_valsB;
static PyObject *__pyx_n_s_value;
static PyObject *__pyx_n_s_values;
static PyObject *__pyx_n_s_verbosity;
static PyObject *__pyx_n_s_version;
static PyObject *__pyx_n_s_version_2;
static PyObject *__pyx_n_s_vlevel;
static PyObject *__pyx_n_s_weightxQ;
static PyObject *__pyx_n_s_weightxQ2;
static PyObject *__pyx_n_s_weightxxQ;
static PyObject *__pyx_n_s_weightxxQ2;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_x1;
static PyObject *__pyx_n_s_x2;
static PyObject *__pyx_n_s_xfxQ;
static PyObject *__pyx_n_s_xfxQ2;
static PyObject *__pyx_n_s_xrange;
static PyObject *__pyx_n_s_yaml;
static PyObject *__pyx_n_s_zip;
static PyObject *__pyx_pf_6python_6lhapdf_text_encode(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_text); /* proto */
static void __pyx_pf_6python_6lhapdf_3PDF___dealloc__(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_8memberID___get__(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_8lhapdfID___get__(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_4type___get__(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_11description___get__(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_8orderQCD___get__(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_4xMin___get__(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_4xMax___get__(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_5q2Min___get__(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_5q2Max___get__(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_2alphasQ(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, PyObject *__pyx_v_q); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_4alphasQ2(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, PyObject *__pyx_v_q2); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_6xfxQ(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, PyObject *__pyx_v_args); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_8xfxQ2(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, PyObject *__pyx_v_args); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_10inRangeQ(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, PyObject *__pyx_v_q); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_12inRangeQ2(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, PyObject *__pyx_v_q2); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_14inRangeX(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, PyObject *__pyx_v_x); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_16inRangeXQ(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_q); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_18inRangeXQ2(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_q2); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_20flavors(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_22hasFlavor(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, PyObject *__pyx_v_pid); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_24quarkMass(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, int __pyx_v_id); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_26quarkThreshold(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, int __pyx_v_id); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_28set(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_30info(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_32_print(struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_34__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_3PDF_36__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_4Info_has_key(struct __pyx_obj_6python_6lhapdf_Info *__pyx_v_self, PyObject *__pyx_v_key); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_4Info_2has_key_local(struct __pyx_obj_6python_6lhapdf_Info *__pyx_v_self, PyObject *__pyx_v_key); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_4Info_4get_entry(struct __pyx_obj_6python_6lhapdf_Info *__pyx_v_self, PyObject *__pyx_v_key, PyObject *__pyx_v_fallback); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_4Info_6set_entry(struct __pyx_obj_6python_6lhapdf_Info *__pyx_v_self, PyObject *__pyx_v_key, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_4Info_8__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_Info *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_4Info_10__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_Info *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static void __pyx_pf_6python_6lhapdf_14PDFUncertainty___dealloc__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_7central___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_7errplus___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_8errminus___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_7errsymm___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_5scale___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_11errplus_pdf___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_12errminus_pdf___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_11errsymm_pdf___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_11errplus_par___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_12errminus_par___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_11errsymm_par___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_7err_par___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_8errparts___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_4errs___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_8errs_pdf___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_6errmin___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_6errmax___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_8errrange___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_10errmin_pdf___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_10errmax_pdf___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_12errrange_pdf___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_10errmin_par___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_10errmax_par___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_12errrange_par___get__(struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_2__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14PDFUncertainty_4__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_PDFUncertainty *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static void __pyx_pf_6python_6lhapdf_10PDFErrInfo___dealloc__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_PDFErrInfo *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_10PDFErrInfo_6qparts___get__(struct __pyx_obj_6python_6lhapdf_PDFErrInfo *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_10PDFErrInfo_9confLevel___get__(struct __pyx_obj_6python_6lhapdf_PDFErrInfo *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_10PDFErrInfo_7errType___get__(struct __pyx_obj_6python_6lhapdf_PDFErrInfo *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_10PDFErrInfo_8coreType___get__(struct __pyx_obj_6python_6lhapdf_PDFErrInfo *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_10PDFErrInfo_10qpartNames___get__(struct __pyx_obj_6python_6lhapdf_PDFErrInfo *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_10PDFErrInfo_8nmemCore___get__(struct __pyx_obj_6python_6lhapdf_PDFErrInfo *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_10PDFErrInfo_7nmemPar___get__(struct __pyx_obj_6python_6lhapdf_PDFErrInfo *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_10PDFErrInfo_2__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_PDFErrInfo *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_10PDFErrInfo_4__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_PDFErrInfo *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static void __pyx_pf_6python_6lhapdf_6PDFSet___dealloc__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_pf_6python_6lhapdf_6PDFSet_2__len__(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_4size___get__(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_7errSize___get__(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_4name___get__(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_11description___get__(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_8lhapdfID___get__(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_11dataversion___get__(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_9errorType___get__(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_9errorInfo___get__(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_14errorConfLevel___get__(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_4mkPDF(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self, PyObject *__pyx_v_mem); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_6mkPDFs(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_8has_key(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self, PyObject *__pyx_v_key); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_10has_key_local(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self, PyObject *__pyx_v_key); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_12get_entry(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self, PyObject *__pyx_v_key, PyObject *__pyx_v_fallback); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_14_print(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_16uncertainty(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self, PyObject *__pyx_v_vals, PyObject *__pyx_v_cl, PyObject *__pyx_v_alternative); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_18correlation(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self, PyObject *__pyx_v_valsA, PyObject *__pyx_v_valsB); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_20randomValueFromHessian(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self, PyObject *__pyx_v_vals, PyObject *__pyx_v_randoms, PyObject *__pyx_v_symmetrise); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_22_checkPdfType(struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self, PyObject *__pyx_v_pdftypes); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_24__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6PDFSet_26__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_PDFSet *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_7PDFInfo___reduce_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_PDFInfo *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_7PDFInfo_2__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_PDFInfo *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_4type___get__(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_alphasQ(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, double __pyx_v_q); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_2alphasQ2(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, double __pyx_v_q2); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_4numFlavorsQ(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, double __pyx_v_q); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_6numFlavorsQ2(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, double __pyx_v_q2); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_8quarkMass(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, int __pyx_v_id); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_10setQuarkMass(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, int __pyx_v_id, double __pyx_v_value); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_12quarkThreshold(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, int __pyx_v_id); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_14setQuarkThreshold(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, int __pyx_v_id, double __pyx_v_value); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_16orderQCD(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_18setOrderQCD(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, int __pyx_v_order); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_20setMZ(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, double __pyx_v_mz); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_22setAlphaSMZ(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, double __pyx_v_alphas); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_24setLambda(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, int __pyx_v_id, double __pyx_v_val); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_26setFlavorScheme(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, PyObject *__pyx_v_scheme, int __pyx_v_nf); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_28flavorScheme(struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, PyObject *__pyx_v_as_str); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_30__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6AlphaS_32__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_6python_6lhapdf_AlphaS *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_2getConfig(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_4getPDFSet(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_setname); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_6mkPDFs(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_setname); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_8mkPDF(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_args); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_10mkAlphaS(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_args); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_12mkBareAlphaS(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_as_type); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_14weightxQ(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_id, double __pyx_v_x, double __pyx_v_Q, struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_basepdf, struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_newpdf, PyObject *__pyx_v_aschk); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_16weightxQ2(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_id, double __pyx_v_x, double __pyx_v_Q2, struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_basepdf, struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_newpdf, PyObject *__pyx_v_aschk); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_18weightxxQ(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_id1, int __pyx_v_id2, double __pyx_v_x1, double __pyx_v_x2, double __pyx_v_Q, struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_basepdf, struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_newpdf, PyObject *__pyx_v_aschk); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_20weightxxQ2(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_id1, int __pyx_v_id2, double __pyx_v_x1, double __pyx_v_x2, double __pyx_v_Q2, struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_basepdf, struct __pyx_obj_6python_6lhapdf_PDF *__pyx_v_newpdf, PyObject *__pyx_v_aschk); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_22version(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_24verbosity(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_26setVerbosity(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vlevel); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_28availablePDFSets(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_30paths(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_32setPaths(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_newpaths); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_34pathsPrepend(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_newpath); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_36pathsAppend(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_newpath); /* proto */
static PyObject *__pyx_pf_6python_6lhapdf_38findFile(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_filename); /* proto */
static int __pyx_pf_8EnumBase_14__Pyx_EnumMeta___init__(struct __pyx_obj___Pyx_EnumMeta *__pyx_v_cls, PyObject *__pyx_v_name, PyObject *__pyx_v_parents, PyObject *__pyx_v_dct); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumMeta_2__iter__(struct __pyx_obj___Pyx_EnumMeta *__pyx_v_cls); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumMeta_4__getitem__(struct __pyx_obj___Pyx_EnumMeta *__pyx_v_cls, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumMeta_6__reduce_cython__(struct __pyx_obj___Pyx_EnumMeta *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumMeta_8__setstate_cython__(struct __pyx_obj___Pyx_EnumMeta *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumBase___new__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_cls, PyObject *__pyx_v_value, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumBase_2__repr__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumBase_4__str__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8EnumBase___pyx_unpickle___Pyx_EnumMeta(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
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  return __pyx_pw_6python_6lhapdf_3PDF_11description_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_3PDF_orderQCD(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_3PDF_8orderQCD_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_3PDF_xMin(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_3PDF_4xMin_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_3PDF_xMax(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_3PDF_4xMax_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_3PDF_q2Min(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_3PDF_5q2Min_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_3PDF_q2Max(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_3PDF_5q2Max_1__get__(o);
}

static PyMethodDef __pyx_methods_6python_6lhapdf_PDF[] = {
  {"alphasQ", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_3alphasQ, METH_O, __pyx_doc_6python_6lhapdf_3PDF_2alphasQ},
  {"alphasQ2", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_5alphasQ2, METH_O, __pyx_doc_6python_6lhapdf_3PDF_4alphasQ2},
  {"xfxQ", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_3PDF_7xfxQ, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_3PDF_6xfxQ},
  {"xfxQ2", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_3PDF_9xfxQ2, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_3PDF_8xfxQ2},
  {"inRangeQ", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_11inRangeQ, METH_O, __pyx_doc_6python_6lhapdf_3PDF_10inRangeQ},
  {"inRangeQ2", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_13inRangeQ2, METH_O, __pyx_doc_6python_6lhapdf_3PDF_12inRangeQ2},
  {"inRangeX", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_15inRangeX, METH_O, __pyx_doc_6python_6lhapdf_3PDF_14inRangeX},
  {"inRangeXQ", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_3PDF_17inRangeXQ, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_3PDF_16inRangeXQ},
  {"inRangeXQ2", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_3PDF_19inRangeXQ2, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_3PDF_18inRangeXQ2},
  {"flavors", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_21flavors, METH_NOARGS, __pyx_doc_6python_6lhapdf_3PDF_20flavors},
  {"hasFlavor", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_23hasFlavor, METH_O, __pyx_doc_6python_6lhapdf_3PDF_22hasFlavor},
  {"quarkMass", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_25quarkMass, METH_O, __pyx_doc_6python_6lhapdf_3PDF_24quarkMass},
  {"quarkThreshold", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_27quarkThreshold, METH_O, __pyx_doc_6python_6lhapdf_3PDF_26quarkThreshold},
  {"set", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_29set, METH_NOARGS, __pyx_doc_6python_6lhapdf_3PDF_28set},
  {"info", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_31info, METH_NOARGS, __pyx_doc_6python_6lhapdf_3PDF_30info},
  {"_print", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_33_print, METH_NOARGS, __pyx_doc_6python_6lhapdf_3PDF_32_print},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_35__reduce_cython__, METH_NOARGS, __pyx_doc_6python_6lhapdf_3PDF_34__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_3PDF_37__setstate_cython__, METH_O, __pyx_doc_6python_6lhapdf_3PDF_36__setstate_cython__},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6python_6lhapdf_PDF[] = {
  {(char *)"memberID", __pyx_getprop_6python_6lhapdf_3PDF_memberID, 0, (char *)"The PDF set member number of this PDF.", 0},
  {(char *)"lhapdfID", __pyx_getprop_6python_6lhapdf_3PDF_lhapdfID, 0, (char *)"The LHAPDF ID number of this PDF member.", 0},
  {(char *)"type", __pyx_getprop_6python_6lhapdf_3PDF_type, 0, (char *)"The type of PDF member, e.g. central, error.", 0},
  {(char *)"description", __pyx_getprop_6python_6lhapdf_3PDF_description, 0, (char *)"Description of this PDF member.", 0},
  {(char *)"orderQCD", __pyx_getprop_6python_6lhapdf_3PDF_orderQCD, 0, (char *)"Max number of loops involved in this PDF's evolution.", 0},
  {(char *)"xMin", __pyx_getprop_6python_6lhapdf_3PDF_xMin, 0, (char *)"Minimum valid value of x to be used with this PDF", 0},
  {(char *)"xMax", __pyx_getprop_6python_6lhapdf_3PDF_xMax, 0, (char *)"Maximum valid value of x to be used with this PDF", 0},
  {(char *)"q2Min", __pyx_getprop_6python_6lhapdf_3PDF_q2Min, 0, (char *)"Minimum valid value of x to be used with this PDF", 0},
  {(char *)"q2Max", __pyx_getprop_6python_6lhapdf_3PDF_q2Max, 0, (char *)"Maximum valid value of x to be used with this PDF", 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_6python_6lhapdf_PDF = {
  PyVarObject_HEAD_INIT(0, 0)
  "python.lhapdf.PDF", /*tp_name*/
  sizeof(struct __pyx_obj_6python_6lhapdf_PDF), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6python_6lhapdf_PDF, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  "    A parton density function for in general several parton flavours,\n    i.e. one member of a PDF set.\n    ", /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6python_6lhapdf_PDF, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6python_6lhapdf_PDF, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6python_6lhapdf_PDF, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_6python_6lhapdf_Info __pyx_vtable_6python_6lhapdf_Info;

static PyObject *__pyx_tp_new_6python_6lhapdf_Info(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_6python_6lhapdf_Info *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6python_6lhapdf_Info *)o);
  p->__pyx_vtab = __pyx_vtabptr_6python_6lhapdf_Info;
  return o;
}

static void __pyx_tp_dealloc_6python_6lhapdf_Info(PyObject *o) {
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  (*Py_TYPE(o)->tp_free)(o);
}

static PyMethodDef __pyx_methods_6python_6lhapdf_Info[] = {
  {"has_key", (PyCFunction)__pyx_pw_6python_6lhapdf_4Info_1has_key, METH_O, __pyx_doc_6python_6lhapdf_4Info_has_key},
  {"has_key_local", (PyCFunction)__pyx_pw_6python_6lhapdf_4Info_3has_key_local, METH_O, __pyx_doc_6python_6lhapdf_4Info_2has_key_local},
  {"get_entry", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_4Info_5get_entry, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_4Info_4get_entry},
  {"set_entry", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_4Info_7set_entry, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_4Info_6set_entry},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_4Info_9__reduce_cython__, METH_NOARGS, __pyx_doc_6python_6lhapdf_4Info_8__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_4Info_11__setstate_cython__, METH_O, __pyx_doc_6python_6lhapdf_4Info_10__setstate_cython__},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_6python_6lhapdf_Info = {
  PyVarObject_HEAD_INIT(0, 0)
  "python.lhapdf.Info", /*tp_name*/
  sizeof(struct __pyx_obj_6python_6lhapdf_Info), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6python_6lhapdf_Info, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  "    Class that handles the parsing of PDF set metadata in the .info file.\n    ", /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6python_6lhapdf_Info, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6python_6lhapdf_Info, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_6python_6lhapdf_PDFUncertainty __pyx_vtable_6python_6lhapdf_PDFUncertainty;

static PyObject *__pyx_tp_new_6python_6lhapdf_PDFUncertainty(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_6python_6lhapdf_PDFUncertainty *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6python_6lhapdf_PDFUncertainty *)o);
  p->__pyx_vtab = __pyx_vtabptr_6python_6lhapdf_PDFUncertainty;
  return o;
}

static void __pyx_tp_dealloc_6python_6lhapdf_PDFUncertainty(PyObject *o) {
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_pw_6python_6lhapdf_14PDFUncertainty_1__dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  (*Py_TYPE(o)->tp_free)(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_central(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_7central_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errplus(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_7errplus_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errminus(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_8errminus_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errsymm(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_7errsymm_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_scale(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_5scale_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errplus_pdf(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_11errplus_pdf_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errminus_pdf(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_12errminus_pdf_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errsymm_pdf(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_11errsymm_pdf_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errplus_par(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_11errplus_par_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errminus_par(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_12errminus_par_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errsymm_par(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_11errsymm_par_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_err_par(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_7err_par_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errparts(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_8errparts_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errs(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_4errs_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errs_pdf(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_8errs_pdf_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errmin(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_6errmin_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errmax(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_6errmax_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errrange(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_8errrange_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errmin_pdf(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_10errmin_pdf_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errmax_pdf(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_10errmax_pdf_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errrange_pdf(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_12errrange_pdf_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errmin_par(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_10errmin_par_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errmax_par(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_10errmax_par_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_14PDFUncertainty_errrange_par(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_14PDFUncertainty_12errrange_par_1__get__(o);
}

static PyMethodDef __pyx_methods_6python_6lhapdf_PDFUncertainty[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_14PDFUncertainty_3__reduce_cython__, METH_NOARGS, __pyx_doc_6python_6lhapdf_14PDFUncertainty_2__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_14PDFUncertainty_5__setstate_cython__, METH_O, __pyx_doc_6python_6lhapdf_14PDFUncertainty_4__setstate_cython__},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6python_6lhapdf_PDFUncertainty[] = {
  {(char *)"central", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_central, 0, (char *)0, 0},
  {(char *)"errplus", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errplus, 0, (char *)0, 0},
  {(char *)"errminus", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errminus, 0, (char *)0, 0},
  {(char *)"errsymm", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errsymm, 0, (char *)0, 0},
  {(char *)"scale", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_scale, 0, (char *)0, 0},
  {(char *)"errplus_pdf", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errplus_pdf, 0, (char *)0, 0},
  {(char *)"errminus_pdf", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errminus_pdf, 0, (char *)0, 0},
  {(char *)"errsymm_pdf", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errsymm_pdf, 0, (char *)0, 0},
  {(char *)"errplus_par", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errplus_par, 0, (char *)0, 0},
  {(char *)"errminus_par", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errminus_par, 0, (char *)0, 0},
  {(char *)"errsymm_par", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errsymm_par, 0, (char *)0, 0},
  {(char *)"err_par", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_err_par, 0, (char *)0, 0},
  {(char *)"errparts", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errparts, 0, (char *)0, 0},
  {(char *)"errs", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errs, 0, (char *)0, 0},
  {(char *)"errs_pdf", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errs_pdf, 0, (char *)0, 0},
  {(char *)"errmin", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errmin, 0, (char *)0, 0},
  {(char *)"errmax", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errmax, 0, (char *)0, 0},
  {(char *)"errrange", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errrange, 0, (char *)0, 0},
  {(char *)"errmin_pdf", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errmin_pdf, 0, (char *)0, 0},
  {(char *)"errmax_pdf", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errmax_pdf, 0, (char *)0, 0},
  {(char *)"errrange_pdf", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errrange_pdf, 0, (char *)0, 0},
  {(char *)"errmin_par", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errmin_par, 0, (char *)0, 0},
  {(char *)"errmax_par", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errmax_par, 0, (char *)0, 0},
  {(char *)"errrange_par", __pyx_getprop_6python_6lhapdf_14PDFUncertainty_errrange_par, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_6python_6lhapdf_PDFUncertainty = {
  PyVarObject_HEAD_INIT(0, 0)
  "python.lhapdf.PDFUncertainty", /*tp_name*/
  sizeof(struct __pyx_obj_6python_6lhapdf_PDFUncertainty), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6python_6lhapdf_PDFUncertainty, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  "    A simple struct containing components of a value with uncertainties calculated\n    from a PDF set.\n\n    Attributes are central, errplus, errminus, errsymm, and scale.\n    Extra attributes to return the separate PDF and parameter errors for combined\n    PDF+parameter sets are errplus_pdf, errminus_pdf, errsymm_pdf, and\n    errplus_par, errminus_par, errsymm_par. The full breakdown of quadrature\n    error components is in errparts.\n\n    Convenience attributes are provided for returning the maximum and minimum\n    values in the error range (as opposed to the size of deviations from the central\n    value) and for returning pairs of down/up errors and min/max values.\n    ", /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6python_6lhapdf_PDFUncertainty, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6python_6lhapdf_PDFUncertainty, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6python_6lhapdf_PDFUncertainty, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_6python_6lhapdf_PDFErrInfo __pyx_vtable_6python_6lhapdf_PDFErrInfo;

static PyObject *__pyx_tp_new_6python_6lhapdf_PDFErrInfo(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_6python_6lhapdf_PDFErrInfo *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6python_6lhapdf_PDFErrInfo *)o);
  p->__pyx_vtab = __pyx_vtabptr_6python_6lhapdf_PDFErrInfo;
  return o;
}

static void __pyx_tp_dealloc_6python_6lhapdf_PDFErrInfo(PyObject *o) {
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_pw_6python_6lhapdf_10PDFErrInfo_1__dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  (*Py_TYPE(o)->tp_free)(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_10PDFErrInfo_qparts(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_10PDFErrInfo_6qparts_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_10PDFErrInfo_confLevel(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_10PDFErrInfo_9confLevel_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_10PDFErrInfo_errType(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_10PDFErrInfo_7errType_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_10PDFErrInfo_coreType(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_10PDFErrInfo_8coreType_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_10PDFErrInfo_qpartNames(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_10PDFErrInfo_10qpartNames_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_10PDFErrInfo_nmemCore(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_10PDFErrInfo_8nmemCore_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_10PDFErrInfo_nmemPar(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_10PDFErrInfo_7nmemPar_1__get__(o);
}

static PyMethodDef __pyx_methods_6python_6lhapdf_PDFErrInfo[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_10PDFErrInfo_3__reduce_cython__, METH_NOARGS, __pyx_doc_6python_6lhapdf_10PDFErrInfo_2__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_10PDFErrInfo_5__setstate_cython__, METH_O, __pyx_doc_6python_6lhapdf_10PDFErrInfo_4__setstate_cython__},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6python_6lhapdf_PDFErrInfo[] = {
  {(char *)"qparts", __pyx_getprop_6python_6lhapdf_10PDFErrInfo_qparts, 0, (char *)0, 0},
  {(char *)"confLevel", __pyx_getprop_6python_6lhapdf_10PDFErrInfo_confLevel, 0, (char *)0, 0},
  {(char *)"errType", __pyx_getprop_6python_6lhapdf_10PDFErrInfo_errType, 0, (char *)0, 0},
  {(char *)"coreType", __pyx_getprop_6python_6lhapdf_10PDFErrInfo_coreType, 0, (char *)0, 0},
  {(char *)"qpartNames", __pyx_getprop_6python_6lhapdf_10PDFErrInfo_qpartNames, 0, (char *)0, 0},
  {(char *)"nmemCore", __pyx_getprop_6python_6lhapdf_10PDFErrInfo_nmemCore, 0, (char *)0, 0},
  {(char *)"nmemPar", __pyx_getprop_6python_6lhapdf_10PDFErrInfo_nmemPar, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_6python_6lhapdf_PDFErrInfo = {
  PyVarObject_HEAD_INIT(0, 0)
  "python.lhapdf.PDFErrInfo", /*tp_name*/
  sizeof(struct __pyx_obj_6python_6lhapdf_PDFErrInfo), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6python_6lhapdf_PDFErrInfo, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  "    A struct giving the breakdown of error computations across the PDF error-set\n    members. The general error-type string is parsed into quadrature components,\n    each of which is a signed pair computed via one-sided, symmetrised, or enveloped\n    bands from subsets of PDF members wrt the nominal.\n    ", /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6python_6lhapdf_PDFErrInfo, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6python_6lhapdf_PDFErrInfo, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6python_6lhapdf_PDFErrInfo, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_6python_6lhapdf_PDFSet __pyx_vtable_6python_6lhapdf_PDFSet;

static PyObject *__pyx_tp_new_6python_6lhapdf_PDFSet(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_6python_6lhapdf_PDFSet *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6python_6lhapdf_PDFSet *)o);
  p->__pyx_vtab = __pyx_vtabptr_6python_6lhapdf_PDFSet;
  return o;
}

static void __pyx_tp_dealloc_6python_6lhapdf_PDFSet(PyObject *o) {
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_pw_6python_6lhapdf_6PDFSet_1__dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  (*Py_TYPE(o)->tp_free)(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_6PDFSet_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_6PDFSet_4size_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_6PDFSet_errSize(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_6PDFSet_7errSize_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_6PDFSet_name(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_6PDFSet_4name_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_6PDFSet_description(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_6PDFSet_11description_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_6PDFSet_lhapdfID(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_6PDFSet_8lhapdfID_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_6PDFSet_dataversion(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_6PDFSet_11dataversion_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_6PDFSet_errorType(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_6PDFSet_9errorType_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_6PDFSet_errorInfo(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_6PDFSet_9errorInfo_1__get__(o);
}

static PyObject *__pyx_getprop_6python_6lhapdf_6PDFSet_errorConfLevel(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_6PDFSet_14errorConfLevel_1__get__(o);
}

static PyMethodDef __pyx_methods_6python_6lhapdf_PDFSet[] = {
  {"mkPDF", (PyCFunction)__pyx_pw_6python_6lhapdf_6PDFSet_5mkPDF, METH_O, __pyx_doc_6python_6lhapdf_6PDFSet_4mkPDF},
  {"mkPDFs", (PyCFunction)__pyx_pw_6python_6lhapdf_6PDFSet_7mkPDFs, METH_NOARGS, __pyx_doc_6python_6lhapdf_6PDFSet_6mkPDFs},
  {"has_key", (PyCFunction)__pyx_pw_6python_6lhapdf_6PDFSet_9has_key, METH_O, __pyx_doc_6python_6lhapdf_6PDFSet_8has_key},
  {"has_key_local", (PyCFunction)__pyx_pw_6python_6lhapdf_6PDFSet_11has_key_local, METH_O, __pyx_doc_6python_6lhapdf_6PDFSet_10has_key_local},
  {"get_entry", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_6PDFSet_13get_entry, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_6PDFSet_12get_entry},
  {"_print", (PyCFunction)__pyx_pw_6python_6lhapdf_6PDFSet_15_print, METH_NOARGS, __pyx_doc_6python_6lhapdf_6PDFSet_14_print},
  {"uncertainty", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_6PDFSet_17uncertainty, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_6PDFSet_16uncertainty},
  {"correlation", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_6PDFSet_19correlation, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_6PDFSet_18correlation},
  {"randomValueFromHessian", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_6PDFSet_21randomValueFromHessian, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_6PDFSet_20randomValueFromHessian},
  {"_checkPdfType", (PyCFunction)__pyx_pw_6python_6lhapdf_6PDFSet_23_checkPdfType, METH_O, __pyx_doc_6python_6lhapdf_6PDFSet_22_checkPdfType},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_6PDFSet_25__reduce_cython__, METH_NOARGS, __pyx_doc_6python_6lhapdf_6PDFSet_24__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_6PDFSet_27__setstate_cython__, METH_O, __pyx_doc_6python_6lhapdf_6PDFSet_26__setstate_cython__},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6python_6lhapdf_PDFSet[] = {
  {(char *)"size", __pyx_getprop_6python_6lhapdf_6PDFSet_size, 0, (char *)"The total number of members in this set.", 0},
  {(char *)"errSize", __pyx_getprop_6python_6lhapdf_6PDFSet_errSize, 0, (char *)"The number of error members in this set.", 0},
  {(char *)"name", __pyx_getprop_6python_6lhapdf_6PDFSet_name, 0, (char *)"Name of this PDF's containing set.", 0},
  {(char *)"description", __pyx_getprop_6python_6lhapdf_6PDFSet_description, 0, (char *)"Description of this PDF's set.", 0},
  {(char *)"lhapdfID", __pyx_getprop_6python_6lhapdf_6PDFSet_lhapdfID, 0, (char *)"First LHAPDF global index in this PDF set.", 0},
  {(char *)"dataversion", __pyx_getprop_6python_6lhapdf_6PDFSet_dataversion, 0, (char *)"Version of this PDF set's data files.", 0},
  {(char *)"errorType", __pyx_getprop_6python_6lhapdf_6PDFSet_errorType, 0, (char *)"Type of error treatment in this PDF set.", 0},
  {(char *)"errorInfo", __pyx_getprop_6python_6lhapdf_6PDFSet_errorInfo, 0, (char *)"Type of error treatment in this PDF set.", 0},
  {(char *)"errorConfLevel", __pyx_getprop_6python_6lhapdf_6PDFSet_errorConfLevel, 0, (char *)"Confidence level of error treatment in percent, if one is defined for this set.", 0},
  {0, 0, 0, 0, 0}
};

static PySequenceMethods __pyx_tp_as_sequence_PDFSet = {
  __pyx_pw_6python_6lhapdf_6PDFSet_3__len__, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  0, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_PDFSet = {
  __pyx_pw_6python_6lhapdf_6PDFSet_3__len__, /*mp_length*/
  0, /*mp_subscript*/
  0, /*mp_ass_subscript*/
};

static PyTypeObject __pyx_type_6python_6lhapdf_PDFSet = {
  PyVarObject_HEAD_INIT(0, 0)
  "python.lhapdf.PDFSet", /*tp_name*/
  sizeof(struct __pyx_obj_6python_6lhapdf_PDFSet), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6python_6lhapdf_PDFSet, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_PDFSet, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_PDFSet, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  "    A collection of PDFs with related fits, most typically a central PDF and a\n    set of extra ones representing different aspects of systematic errors in the\n    fit.\n    ", /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6python_6lhapdf_PDFSet, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6python_6lhapdf_PDFSet, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6python_6lhapdf_PDFSet, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_6python_6lhapdf_PDFInfo __pyx_vtable_6python_6lhapdf_PDFInfo;

static PyObject *__pyx_tp_new_6python_6lhapdf_PDFInfo(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6python_6lhapdf_PDFInfo *p;
  PyObject *o = __pyx_tp_new_6python_6lhapdf_Info(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6python_6lhapdf_PDFInfo *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_6python_6lhapdf_Info*)__pyx_vtabptr_6python_6lhapdf_PDFInfo;
  p->_parent = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6python_6lhapdf_PDFInfo(PyObject *o) {
  struct __pyx_obj_6python_6lhapdf_PDFInfo *p = (struct __pyx_obj_6python_6lhapdf_PDFInfo *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->_parent);
  #if CYTHON_USE_TYPE_SLOTS
  if (PyType_IS_GC(Py_TYPE(o)->tp_base))
  #endif
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_6python_6lhapdf_Info(o);
}

static int __pyx_tp_traverse_6python_6lhapdf_PDFInfo(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6python_6lhapdf_PDFInfo *p = (struct __pyx_obj_6python_6lhapdf_PDFInfo *)o;
  e = ((likely(__pyx_ptype_6python_6lhapdf_Info)) ? ((__pyx_ptype_6python_6lhapdf_Info->tp_traverse) ? __pyx_ptype_6python_6lhapdf_Info->tp_traverse(o, v, a) : 0) : __Pyx_call_next_tp_traverse(o, v, a, __pyx_tp_traverse_6python_6lhapdf_PDFInfo)); if (e) return e;
  if (p->_parent) {
    e = (*v)(p->_parent, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6python_6lhapdf_PDFInfo(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6python_6lhapdf_PDFInfo *p = (struct __pyx_obj_6python_6lhapdf_PDFInfo *)o;
  if (likely(__pyx_ptype_6python_6lhapdf_Info)) { if (__pyx_ptype_6python_6lhapdf_Info->tp_clear) __pyx_ptype_6python_6lhapdf_Info->tp_clear(o); } else __Pyx_call_next_tp_clear(o, __pyx_tp_clear_6python_6lhapdf_PDFInfo);
  tmp = ((PyObject*)p->_parent);
  p->_parent = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_6python_6lhapdf_PDFInfo[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_7PDFInfo_1__reduce_cython__, METH_NOARGS, __pyx_doc_6python_6lhapdf_7PDFInfo___reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_7PDFInfo_3__setstate_cython__, METH_O, __pyx_doc_6python_6lhapdf_7PDFInfo_2__setstate_cython__},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_6python_6lhapdf_PDFInfo = {
  PyVarObject_HEAD_INIT(0, 0)
  "python.lhapdf.PDFInfo", /*tp_name*/
  sizeof(struct __pyx_obj_6python_6lhapdf_PDFInfo), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6python_6lhapdf_PDFInfo, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "    A class handling the metadata that defines a given PDF.\n    ", /*tp_doc*/
  __pyx_tp_traverse_6python_6lhapdf_PDFInfo, /*tp_traverse*/
  __pyx_tp_clear_6python_6lhapdf_PDFInfo, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6python_6lhapdf_PDFInfo, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6python_6lhapdf_PDFInfo, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_6python_6lhapdf_AlphaS __pyx_vtable_6python_6lhapdf_AlphaS;

static PyObject *__pyx_tp_new_6python_6lhapdf_AlphaS(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_6python_6lhapdf_AlphaS *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6python_6lhapdf_AlphaS *)o);
  p->__pyx_vtab = __pyx_vtabptr_6python_6lhapdf_AlphaS;
  p->_parent = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6python_6lhapdf_AlphaS(PyObject *o) {
  struct __pyx_obj_6python_6lhapdf_AlphaS *p = (struct __pyx_obj_6python_6lhapdf_AlphaS *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->_parent);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_6python_6lhapdf_AlphaS(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6python_6lhapdf_AlphaS *p = (struct __pyx_obj_6python_6lhapdf_AlphaS *)o;
  if (p->_parent) {
    e = (*v)(p->_parent, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6python_6lhapdf_AlphaS(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6python_6lhapdf_AlphaS *p = (struct __pyx_obj_6python_6lhapdf_AlphaS *)o;
  tmp = ((PyObject*)p->_parent);
  p->_parent = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6python_6lhapdf_6AlphaS_type(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6python_6lhapdf_6AlphaS_4type_1__get__(o);
}

static PyMethodDef __pyx_methods_6python_6lhapdf_AlphaS[] = {
  {"alphasQ", (PyCFunction)__pyx_pw_6python_6lhapdf_6AlphaS_1alphasQ, METH_O, __pyx_doc_6python_6lhapdf_6AlphaS_alphasQ},
  {"alphasQ2", (PyCFunction)__pyx_pw_6python_6lhapdf_6AlphaS_3alphasQ2, METH_O, __pyx_doc_6python_6lhapdf_6AlphaS_2alphasQ2},
  {"numFlavorsQ", (PyCFunction)__pyx_pw_6python_6lhapdf_6AlphaS_5numFlavorsQ, METH_O, __pyx_doc_6python_6lhapdf_6AlphaS_4numFlavorsQ},
  {"numFlavorsQ2", (PyCFunction)__pyx_pw_6python_6lhapdf_6AlphaS_7numFlavorsQ2, METH_O, __pyx_doc_6python_6lhapdf_6AlphaS_6numFlavorsQ2},
  {"quarkMass", (PyCFunction)__pyx_pw_6python_6lhapdf_6AlphaS_9quarkMass, METH_O, __pyx_doc_6python_6lhapdf_6AlphaS_8quarkMass},
  {"setQuarkMass", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_6AlphaS_11setQuarkMass, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_6AlphaS_10setQuarkMass},
  {"quarkThreshold", (PyCFunction)__pyx_pw_6python_6lhapdf_6AlphaS_13quarkThreshold, METH_O, __pyx_doc_6python_6lhapdf_6AlphaS_12quarkThreshold},
  {"setQuarkThreshold", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_6AlphaS_15setQuarkThreshold, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_6AlphaS_14setQuarkThreshold},
  {"orderQCD", (PyCFunction)__pyx_pw_6python_6lhapdf_6AlphaS_17orderQCD, METH_NOARGS, __pyx_doc_6python_6lhapdf_6AlphaS_16orderQCD},
  {"setOrderQCD", (PyCFunction)__pyx_pw_6python_6lhapdf_6AlphaS_19setOrderQCD, METH_O, __pyx_doc_6python_6lhapdf_6AlphaS_18setOrderQCD},
  {"setMZ", (PyCFunction)__pyx_pw_6python_6lhapdf_6AlphaS_21setMZ, METH_O, __pyx_doc_6python_6lhapdf_6AlphaS_20setMZ},
  {"setAlphaSMZ", (PyCFunction)__pyx_pw_6python_6lhapdf_6AlphaS_23setAlphaSMZ, METH_O, __pyx_doc_6python_6lhapdf_6AlphaS_22setAlphaSMZ},
  {"setLambda", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_6AlphaS_25setLambda, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_6AlphaS_24setLambda},
  {"setFlavorScheme", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_6AlphaS_27setFlavorScheme, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_6AlphaS_26setFlavorScheme},
  {"flavorScheme", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6python_6lhapdf_6AlphaS_29flavorScheme, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6python_6lhapdf_6AlphaS_28flavorScheme},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_6AlphaS_31__reduce_cython__, METH_NOARGS, __pyx_doc_6python_6lhapdf_6AlphaS_30__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_6python_6lhapdf_6AlphaS_33__setstate_cython__, METH_O, __pyx_doc_6python_6lhapdf_6AlphaS_32__setstate_cython__},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6python_6lhapdf_AlphaS[] = {
  {(char *)"type", __pyx_getprop_6python_6lhapdf_6AlphaS_type, 0, (char *)"Get the method of alpha_s calculation as a string", 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_6python_6lhapdf_AlphaS = {
  PyVarObject_HEAD_INIT(0, 0)
  "python.lhapdf.AlphaS", /*tp_name*/
  sizeof(struct __pyx_obj_6python_6lhapdf_AlphaS), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6python_6lhapdf_AlphaS, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "    Interface to alpha_s calculations using various schemes.\n    ", /*tp_doc*/
  __pyx_tp_traverse_6python_6lhapdf_AlphaS, /*tp_traverse*/
  __pyx_tp_clear_6python_6lhapdf_AlphaS, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6python_6lhapdf_AlphaS, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6python_6lhapdf_AlphaS, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6python_6lhapdf_AlphaS, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};

static PyObject *__pyx_tp_new___Pyx_EnumMeta(PyTypeObject *t, PyObject *a, PyObject *k) {
  PyObject *o = (&PyType_Type)->tp_new(t, a, k);
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}

static void __pyx_tp_dealloc___Pyx_EnumMeta(PyObject *o) {
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    if (PyObject_CallFinalizerFromDealloc(o)) return;
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  #endif
  PyObject_GC_UnTrack(o);
  PyObject_GC_Track(o);
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}

static int __pyx_tp_traverse___Pyx_EnumMeta(PyObject *o, visitproc v, void *a) {
  int e;
  if (!(&PyType_Type)->tp_traverse); else { e = (&PyType_Type)->tp_traverse(o,v,a); if (e) return e; }
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}

static int __pyx_tp_clear___Pyx_EnumMeta(PyObject *o) {
  if (!(&PyType_Type)->tp_clear); else (&PyType_Type)->tp_clear(o);
  return 0;
}
static PyObject *__pyx_sq_item___Pyx_EnumMeta(PyObject *o, Py_ssize_t i) {
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  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  Py_DECREF(x);
  return r;
}

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

static PySequenceMethods __pyx_tp_as_sequence___Pyx_EnumMeta = {
  0, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item___Pyx_EnumMeta, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping___Pyx_EnumMeta = {
  0, /*mp_length*/
  __pyx_pw_8EnumBase_14__Pyx_EnumMeta_5__getitem__, /*mp_subscript*/
  0, /*mp_ass_subscript*/
};

static PyTypeObject __Pyx_EnumMeta = {
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  "python.lhapdf.__Pyx_EnumMeta", /*tp_name*/
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  __pyx_tp_dealloc___Pyx_EnumMeta, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
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  #if PY_VERSION_HEX >= 0x030800b4
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  #if PY_MAJOR_VERSION >= 3
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  0, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence___Pyx_EnumMeta, /*tp_as_sequence*/
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  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse___Pyx_EnumMeta, /*tp_traverse*/
  __pyx_tp_clear___Pyx_EnumMeta, /*tp_clear*/
  0, /*tp_richcompare*/
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static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
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static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
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#if PY_MAJOR_VERSION >= 3
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    PyObject *result;
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    nk = kwargs ? PyDict_Size(kwargs) : 0;
    if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
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    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
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            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
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            result = NULL;
            goto done;
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        pos = i = 0;
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#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
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done:
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        PyErr_SetString(
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/* PyObjectCall2Args */
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    if (unlikely(!args)) goto done;
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    Py_INCREF(function);
    result = __Pyx_PyObject_Call(function, args, NULL);
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    Py_DECREF(function);
done:
    return result;
}

/* PyObjectCallMethO */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
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    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);
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}
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);
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#endif
    if (likely(PyCFunction_Check(func))) {
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#if CYTHON_FAST_PYCCALL
        } else if (__Pyx_PyFastCFunction_Check(func)) {
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#endif
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
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}
#endif

/* PyErrFetchRestore */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
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}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
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}
#endif

/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
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        Py_INCREF(value);
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        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
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#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
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#endif
        PyErr_NormalizeException(&type, &value, &tb);
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        if (value) {
            PyErr_SetString(PyExc_TypeError,
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        type = (PyObject*) Py_TYPE(type);
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        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
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raise_error:
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static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
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        tb = 0;
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        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
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        value = 0;
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        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
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        type = (PyObject*) Py_TYPE(value);
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        PyObject *instance_class = NULL;
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                int is_subclass = PyObject_IsSubclass(instance_class, type);
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                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
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            fixed_cause = NULL;
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        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
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        PyException_SetCause(value, fixed_cause);
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    PyErr_SetObject(type, value);
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#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
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#else
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        }
#endif
    }
bad:
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#endif

/* KeywordStringCheck */
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{
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#if CYTHON_COMPILING_IN_PYPY
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#else
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invalid_keyword_type:
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#endif
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
    return 0;
}

/* RaiseTooManyValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

/* RaiseNeedMoreValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

/* PyDictVersioning */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
    PyObject **dictptr = NULL;
    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
    if (offset) {
#if CYTHON_COMPILING_IN_CPYTHON
        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
#else
        dictptr = _PyObject_GetDictPtr(obj);
#endif
    }
    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif

/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* IterFinish */
static CYTHON_INLINE int __Pyx_IterFinish(void) {
#if CYTHON_FAST_THREAD_STATE
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) {
            PyObject *exc_value, *exc_tb;
            exc_value = tstate->curexc_value;
            exc_tb = tstate->curexc_traceback;
            tstate->curexc_type = 0;
            tstate->curexc_value = 0;
            tstate->curexc_traceback = 0;
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#else
    if (unlikely(PyErr_Occurred())) {
        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
            PyErr_Clear();
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#endif
}

/* UnpackItemEndCheck */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    } else {
        return __Pyx_IterFinish();
    }
    return 0;
}

/* GetTopmostException */
#if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif

/* SaveResetException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    #endif
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
#endif

/* PyErrExceptionMatches */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    PyObject *exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
    if (unlikely(PyTuple_Check(err)))
        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
}
#endif

/* GetException */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

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

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

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

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

/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if ((1) && (strchr(__Pyx_MODULE_NAME, '.'))) {
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_MAJOR_VERSION < 3
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

/* BytesEquals */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS && (PY_VERSION_HEX < 0x030B0000)
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

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

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

/* ArgTypeTest */
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    else if (exact) {
        #if PY_MAJOR_VERSION == 2
        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

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

/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
    PyObject *runerr;
    Py_ssize_t key_value;
    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
    if (unlikely(!(m && m->sq_item))) {
        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
        return NULL;
    }
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
    if (likely(m && m->mp_subscript)) {
        return m->mp_subscript(obj, key);
    }
    return __Pyx_PyObject_GetIndex(obj, key);
}
#endif

/* GetAttr */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_USE_TYPE_SLOTS
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}

/* GetAttr3 */
static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    Py_INCREF(d);
    return d;
}
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r = __Pyx_GetAttr(o, n);
    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
}

/* ImportFrom */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

/* HasAttr */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_GetAttr(o, n);
    if (unlikely(!r)) {
        PyErr_Clear();
        return 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}

/* CallNextTpTraverse */
static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_traverse != current_tp_traverse)
        type = type->tp_base;
    while (type && type->tp_traverse == current_tp_traverse)
        type = type->tp_base;
    if (type && type->tp_traverse)
        return type->tp_traverse(obj, v, a);
    return 0;
}

/* CallNextTpClear */
static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_clear) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_clear != current_tp_clear)
        type = type->tp_base;
    while (type && type->tp_clear == current_tp_clear)
        type = type->tp_base;
    if (type && type->tp_clear)
        type->tp_clear(obj);
}

/* 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;
}

/* PyObjectGetAttrStrNoError */
static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        __Pyx_PyErr_Clear();
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
    }
#endif
    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
    if (unlikely(!result)) {
        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
    }
    return result;
}

/* SetupReduce */
static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name_2);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_getstate = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
    PyObject *getstate = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    getstate = _PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate);
#else
    getstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_getstate);
    if (!getstate && PyErr_Occurred()) {
        goto __PYX_BAD;
    }
#endif
    if (getstate) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_getstate = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_getstate);
#else
        object_getstate = __Pyx_PyObject_GetAttrStrNoError((PyObject*)&PyBaseObject_Type, __pyx_n_s_getstate);
        if (!object_getstate && PyErr_Occurred()) {
            goto __PYX_BAD;
        }
#endif
        if (object_getstate != getstate) {
            goto __PYX_GOOD;
        }
    }
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
    if (reduce_ex == object_reduce_ex) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
            if (likely(reduce_cython)) {
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
            } else if (reduce == object_reduce || PyErr_Occurred()) {
                goto __PYX_BAD;
            }
            setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
                if (likely(setstate_cython)) {
                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                } else if (!setstate || PyErr_Occurred()) {
                    goto __PYX_BAD;
                }
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto __PYX_GOOD;
__PYX_BAD:
    if (!PyErr_Occurred())
        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
    ret = -1;
__PYX_GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
    Py_XDECREF(object_getstate);
    Py_XDECREF(getstate);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}

/* CalculateMetaclass */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases = PyTuple_GET_SIZE(bases);
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
        tmptype = Py_TYPE(tmp);
#if PY_MAJOR_VERSION < 3
        if (tmptype == &PyClass_Type)
            continue;
#endif
        if (!metaclass) {
            metaclass = tmptype;
            continue;
        }
        if (PyType_IsSubtype(metaclass, tmptype))
            continue;
        if (PyType_IsSubtype(tmptype, metaclass)) {
            metaclass = tmptype;
            continue;
        }
        PyErr_SetString(PyExc_TypeError,
                        "metaclass conflict: "
                        "the metaclass of a derived class "
                        "must be a (non-strict) subclass "
                        "of the metaclasses of all its bases");
        return NULL;
    }
    if (!metaclass) {
#if PY_MAJOR_VERSION < 3
        metaclass = &PyClass_Type;
#else
        metaclass = &PyType_Type;
#endif
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}

/* FetchCommonType */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* fake_module;
    PyTypeObject* cached_type = NULL;
    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
    if (!fake_module) return NULL;
    Py_INCREF(fake_module);
    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
    if (cached_type) {
        if (!PyType_Check((PyObject*)cached_type)) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s is not a type object",
                type->tp_name);
            goto bad;
        }
        if (cached_type->tp_basicsize != type->tp_basicsize) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s has the wrong size, try recompiling",
                type->tp_name);
            goto bad;
        }
    } else {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
        PyErr_Clear();
        if (PyType_Ready(type) < 0) goto bad;
        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
            goto bad;
        Py_INCREF(type);
        cached_type = type;
    }
done:
    Py_DECREF(fake_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

/* CythonFunctionShared */
#include <structmember.h>
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (unlikely(op->func_doc == NULL)) {
        if (op->func.m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp = op->func_doc;
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    op->func_doc = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(op->func.m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    tmp = op->func_name;
    Py_INCREF(value);
    op->func_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    tmp = op->func_qualname;
    Py_INCREF(value);
    op->func_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
{
    PyObject *self;
    self = m->func_closure;
    if (self == NULL)
        self = Py_None;
    Py_INCREF(self);
    return self;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    tmp = op->func_dict;
    Py_INCREF(value);
    op->func_dict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyTuple_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_tuple;
    op->defaults_tuple = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_kwdict;
    op->defaults_kwdict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value || value == Py_None) {
        value = NULL;
    } else if (!PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    tmp = op->func_annotations;
    op->func_annotations = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    Py_INCREF(m->func_qualname);
    return m->func_qualname;
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    if (unlikely(op == NULL))
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults_size = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
#if PY_MAJOR_VERSION < 3
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
#endif
    return __Pyx_PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        argc = PyTuple_GET_SIZE(args);
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            PyErr_Format(PyExc_TypeError,
                         "unbound method %.200S() needs an argument",
                         cyfunc->func_qualname);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_CyFunction_descr_get,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
    0,
#endif
};
static int __pyx_CyFunction_init(void) {
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    m->defaults_size = size;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* CythonFunction */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}

/* Py3ClassCreate */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
    PyObject *ns;
    if (metaclass) {
        PyObject *prep = __Pyx_PyObject_GetAttrStr(metaclass, __pyx_n_s_prepare);
        if (prep) {
            PyObject *pargs = PyTuple_Pack(2, name, bases);
            if (unlikely(!pargs)) {
                Py_DECREF(prep);
                return NULL;
            }
            ns = PyObject_Call(prep, pargs, mkw);
            Py_DECREF(prep);
            Py_DECREF(pargs);
        } else {
            if (unlikely(!PyErr_ExceptionMatches(PyExc_AttributeError)))
                return NULL;
            PyErr_Clear();
            ns = PyDict_New();
        }
    } else {
        ns = PyDict_New();
    }
    if (unlikely(!ns))
        return NULL;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_module, modname) < 0)) goto bad;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;
    return ns;
bad:
    Py_DECREF(ns);
    return NULL;
}
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
                                      PyObject *dict, PyObject *mkw,
                                      int calculate_metaclass, int allow_py2_metaclass) {
    PyObject *result, *margs;
    PyObject *owned_metaclass = NULL;
    if (allow_py2_metaclass) {
        owned_metaclass = PyObject_GetItem(dict, __pyx_n_s_metaclass);
        if (owned_metaclass) {
            metaclass = owned_metaclass;
        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
            PyErr_Clear();
        } else {
            return NULL;
        }
    }
    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
        Py_XDECREF(owned_metaclass);
        if (unlikely(!metaclass))
            return NULL;
        owned_metaclass = metaclass;
    }
    margs = PyTuple_Pack(3, name, bases, dict);
    if (unlikely(!margs)) {
        result = NULL;
    } else {
        result = PyObject_Call(metaclass, margs, mkw);
        Py_DECREF(margs);
    }
    Py_XDECREF(owned_metaclass);
    return result;
}

/* Globals */
static PyObject* __Pyx_Globals(void) {
    Py_ssize_t i;
    PyObject *names;
    PyObject *globals = __pyx_d;
    Py_INCREF(globals);
    names = PyObject_Dir(__pyx_m);
    if (!names)
        goto bad;
    for (i = PyList_GET_SIZE(names)-1; i >= 0; i--) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject* name = PySequence_ITEM(names, i);
        if (!name)
            goto bad;
#else
        PyObject* name = PyList_GET_ITEM(names, i);
#endif
        if (!PyDict_Contains(globals, name)) {
            PyObject* value = __Pyx_GetAttr(__pyx_m, name);
            if (!value) {
#if CYTHON_COMPILING_IN_PYPY
                Py_DECREF(name);
#endif
                goto bad;
            }
            if (PyDict_SetItem(globals, name, value) < 0) {
#if CYTHON_COMPILING_IN_PYPY
                Py_DECREF(name);
#endif
                Py_DECREF(value);
                goto bad;
            }
        }
#if CYTHON_COMPILING_IN_PYPY
        Py_DECREF(name);
#endif
    }
    Py_DECREF(names);
    return globals;
bad:
    Py_XDECREF(names);
    Py_XDECREF(globals);
    return NULL;
}

/* CLineInTraceback */
#ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    if (unlikely(!__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, *cython_runtime_dict,
            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        (void) 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"
#if PY_VERSION_HEX >= 0x030b00a6
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = NULL;
    PyObject *py_funcname = NULL;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_srcfile = NULL;
    py_srcfile = PyString_FromString(filename);
    if (!py_srcfile) goto bad;
    #endif
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        funcname = PyUnicode_AsUTF8(py_funcname);
        if (!funcname) goto bad;
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        if (!py_funcname) goto bad;
        #endif
    }
    #if PY_MAJOR_VERSION < 3
    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);
    #else
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    #endif
    Py_XDECREF(py_funcname);  // XDECREF since it's only set on Py3 if cline
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_srcfile);
    #endif
    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;
    PyObject *ptype, *pvalue, *ptraceback;
    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) {
        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) {
            /* If the code object creation fails, then we should clear the
               fetched exception references and propagate the new exception */
            Py_XDECREF(ptype);
            Py_XDECREF(pvalue);
            Py_XDECREF(ptraceback);
            goto bad;
        }
        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
        __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;\
    }

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

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

/* CIntFromPy */
static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const size_t neg_one = (size_t) -1, const_zero = (size_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(size_t) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(size_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (size_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 (size_t) 0;
                case  1: __PYX_VERIFY_RETURN_INT(size_t, digit, digits[0])
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 2 * PyLong_SHIFT) {
                            return (size_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 3 * PyLong_SHIFT) {
                            return (size_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_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(size_t) >= 4 * PyLong_SHIFT) {
                            return (size_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
#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 (size_t) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(size_t) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(size_t) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_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 (size_t) 0;
                case -1: __PYX_VERIFY_RETURN_INT(size_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(size_t,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(size_t) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) ((((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) ((((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_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(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((((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(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_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(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_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
            if (sizeof(size_t) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(size_t) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_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
            size_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 (size_t) -1;
        }
    } else {
        size_t val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (size_t) -1;
        val = __Pyx_PyInt_As_size_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to size_t");
    return (size_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to size_t");
    return (size_t) -1;
}

/* CIntFromPy */
static CYTHON_INLINE LHAPDF::AlphaS::FlavorScheme __Pyx_PyInt_As_LHAPDF_3a__3a_AlphaS_3a__3a_FlavorScheme(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const LHAPDF::AlphaS::FlavorScheme neg_one = (LHAPDF::AlphaS::FlavorScheme) -1, const_zero = (LHAPDF::AlphaS::FlavorScheme) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(LHAPDF::AlphaS::FlavorScheme) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(LHAPDF::AlphaS::FlavorScheme, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (LHAPDF::AlphaS::FlavorScheme) 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 (LHAPDF::AlphaS::FlavorScheme) 0;
                case  1: __PYX_VERIFY_RETURN_INT(LHAPDF::AlphaS::FlavorScheme, digit, digits[0])
                case 2:
                    if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(LHAPDF::AlphaS::FlavorScheme, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) >= 2 * PyLong_SHIFT) {
                            return (LHAPDF::AlphaS::FlavorScheme) (((((LHAPDF::AlphaS::FlavorScheme)digits[1]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(LHAPDF::AlphaS::FlavorScheme, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) >= 3 * PyLong_SHIFT) {
                            return (LHAPDF::AlphaS::FlavorScheme) (((((((LHAPDF::AlphaS::FlavorScheme)digits[2]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[1]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(LHAPDF::AlphaS::FlavorScheme, 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(LHAPDF::AlphaS::FlavorScheme) >= 4 * PyLong_SHIFT) {
                            return (LHAPDF::AlphaS::FlavorScheme) (((((((((LHAPDF::AlphaS::FlavorScheme)digits[3]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[2]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[1]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)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 (LHAPDF::AlphaS::FlavorScheme) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(LHAPDF::AlphaS::FlavorScheme) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(LHAPDF::AlphaS::FlavorScheme, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(LHAPDF::AlphaS::FlavorScheme) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(LHAPDF::AlphaS::FlavorScheme, 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 (LHAPDF::AlphaS::FlavorScheme) 0;
                case -1: __PYX_VERIFY_RETURN_INT(LHAPDF::AlphaS::FlavorScheme, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(LHAPDF::AlphaS::FlavorScheme,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(LHAPDF::AlphaS::FlavorScheme, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) - 1 > 2 * PyLong_SHIFT) {
                            return (LHAPDF::AlphaS::FlavorScheme) (((LHAPDF::AlphaS::FlavorScheme)-1)*(((((LHAPDF::AlphaS::FlavorScheme)digits[1]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(LHAPDF::AlphaS::FlavorScheme, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) - 1 > 2 * PyLong_SHIFT) {
                            return (LHAPDF::AlphaS::FlavorScheme) ((((((LHAPDF::AlphaS::FlavorScheme)digits[1]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(LHAPDF::AlphaS::FlavorScheme, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) - 1 > 3 * PyLong_SHIFT) {
                            return (LHAPDF::AlphaS::FlavorScheme) (((LHAPDF::AlphaS::FlavorScheme)-1)*(((((((LHAPDF::AlphaS::FlavorScheme)digits[2]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[1]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(LHAPDF::AlphaS::FlavorScheme, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) - 1 > 3 * PyLong_SHIFT) {
                            return (LHAPDF::AlphaS::FlavorScheme) ((((((((LHAPDF::AlphaS::FlavorScheme)digits[2]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[1]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(LHAPDF::AlphaS::FlavorScheme, 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(LHAPDF::AlphaS::FlavorScheme) - 1 > 4 * PyLong_SHIFT) {
                            return (LHAPDF::AlphaS::FlavorScheme) (((LHAPDF::AlphaS::FlavorScheme)-1)*(((((((((LHAPDF::AlphaS::FlavorScheme)digits[3]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[2]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[1]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(LHAPDF::AlphaS::FlavorScheme) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(LHAPDF::AlphaS::FlavorScheme, 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(LHAPDF::AlphaS::FlavorScheme) - 1 > 4 * PyLong_SHIFT) {
                            return (LHAPDF::AlphaS::FlavorScheme) ((((((((((LHAPDF::AlphaS::FlavorScheme)digits[3]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[2]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[1]) << PyLong_SHIFT) | (LHAPDF::AlphaS::FlavorScheme)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(LHAPDF::AlphaS::FlavorScheme) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(LHAPDF::AlphaS::FlavorScheme, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(LHAPDF::AlphaS::FlavorScheme) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(LHAPDF::AlphaS::FlavorScheme, 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
            LHAPDF::AlphaS::FlavorScheme 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 (LHAPDF::AlphaS::FlavorScheme) -1;
        }
    } else {
        LHAPDF::AlphaS::FlavorScheme val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (LHAPDF::AlphaS::FlavorScheme) -1;
        val = __Pyx_PyInt_As_LHAPDF_3a__3a_AlphaS_3a__3a_FlavorScheme(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to LHAPDF::AlphaS::FlavorScheme");
    return (LHAPDF::AlphaS::FlavorScheme) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to LHAPDF::AlphaS::FlavorScheme");
    return (LHAPDF::AlphaS::FlavorScheme) -1;
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum____pyx_t_6python_6lhapdf_FlavorScheme(enum __pyx_t_6python_6lhapdf_FlavorScheme value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const enum __pyx_t_6python_6lhapdf_FlavorScheme neg_one = (enum __pyx_t_6python_6lhapdf_FlavorScheme) -1, const_zero = (enum __pyx_t_6python_6lhapdf_FlavorScheme) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(enum __pyx_t_6python_6lhapdf_FlavorScheme) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum __pyx_t_6python_6lhapdf_FlavorScheme) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum __pyx_t_6python_6lhapdf_FlavorScheme) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(enum __pyx_t_6python_6lhapdf_FlavorScheme) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum __pyx_t_6python_6lhapdf_FlavorScheme) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum __pyx_t_6python_6lhapdf_FlavorScheme),
                                     little, !is_unsigned);
    }
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_LHAPDF_3a__3a_AlphaS_3a__3a_FlavorScheme(LHAPDF::AlphaS::FlavorScheme value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const LHAPDF::AlphaS::FlavorScheme neg_one = (LHAPDF::AlphaS::FlavorScheme) -1, const_zero = (LHAPDF::AlphaS::FlavorScheme) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(LHAPDF::AlphaS::FlavorScheme) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(LHAPDF::AlphaS::FlavorScheme) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(LHAPDF::AlphaS::FlavorScheme) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(LHAPDF::AlphaS::FlavorScheme) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(LHAPDF::AlphaS::FlavorScheme) <= 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(LHAPDF::AlphaS::FlavorScheme),
                                     little, !is_unsigned);
    }
}

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

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

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum____pyx_t_6python_6lhapdf_PIDCode(enum __pyx_t_6python_6lhapdf_PIDCode value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const enum __pyx_t_6python_6lhapdf_PIDCode neg_one = (enum __pyx_t_6python_6lhapdf_PIDCode) -1, const_zero = (enum __pyx_t_6python_6lhapdf_PIDCode) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(enum __pyx_t_6python_6lhapdf_PIDCode) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum __pyx_t_6python_6lhapdf_PIDCode) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum __pyx_t_6python_6lhapdf_PIDCode) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(enum __pyx_t_6python_6lhapdf_PIDCode) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum __pyx_t_6python_6lhapdf_PIDCode) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum __pyx_t_6python_6lhapdf_PIDCode),
                                     little, !is_unsigned);
    }
}

/* 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[5];
    int same=1, i, found_dot;
    const char* rt_from_call = Py_GetVersion();
    PyOS_snprintf(ctversion, 5, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    found_dot = 0;
    for (i = 0; i < 4; i++) {
        if (!ctversion[i]) {
            same = (rt_from_call[i] < '0' || rt_from_call[i] > '9');
            break;
        }
        if (rt_from_call[i] != ctversion[i]) {
            same = 0;
            break;
        }
    }
    if (!same) {
        char rtversion[5] = {'\0'};
        char message[200];
        for (i=0; i<4; ++i) {
            if (rt_from_call[i] == '.') {
                if (found_dot) break;
                found_dot = 1;
            } else if (rt_from_call[i] < '0' || rt_from_call[i] > '9') {
                break;
            }
            rtversion[i] = rt_from_call[i];
        }
        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;
}

/* 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 Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
    return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
#if PY_MAJOR_VERSION < 3
  } else if (likely(PyInt_CheckExact(o))) {
    return PyInt_AS_LONG(o);
#endif
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyInt_AsLong(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 */