/* Generated by Cython 3.1.2 */

/* BEGIN: Cython Metadata
{
    "distutils": {
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            "/opt/mambaforge/envs/bioconda/conda-bld/primer3-py_1751493873134/work/primer3/src/libprimer3/libprimer3.h",
            "/opt/mambaforge/envs/bioconda/conda-bld/primer3-py_1751493873134/work/primer3/src/libprimer3/masker.h",
            "/opt/mambaforge/envs/bioconda/conda-bld/primer3-py_1751493873134/work/primer3/src/libprimer3/oligotm.h",
            "/opt/mambaforge/envs/bioconda/conda-bld/primer3-py_1751493873134/work/primer3/src/libprimer3/p3_seq_lib.h",
            "/opt/mambaforge/envs/bioconda/conda-bld/primer3-py_1751493873134/work/primer3/src/libprimer3/read_boulder.h",
            "/opt/mambaforge/envs/bioconda/conda-bld/primer3-py_1751493873134/work/primer3/src/libprimer3/thal.h",
            "primer3/p3helpers.h"
        ],
        "extra_compile_args": [
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            "-Wno-unused-function"
        ],
        "include_dirs": [
            "primer3",
            "/opt/mambaforge/envs/bioconda/conda-bld/primer3-py_1751493873134/work/primer3/src",
            "/opt/mambaforge/envs/bioconda/conda-bld/primer3-py_1751493873134/work/primer3/src/libprimer3",
            "/opt/mambaforge/envs/bioconda/conda-bld/primer3-py_1751493873134/work/primer3/src/libprimer3/klib"
        ],
        "name": "primer3.thermoanalysis",
        "sources": [
            "primer3/thermoanalysis.pyx",
            "primer3/src/libprimer3/dpal.c",
            "primer3/src/libprimer3/libprimer3flex.c",
            "primer3/src/libprimer3/oligotm.c",
            "primer3/src/libprimer3/p3_seq_lib.c",
            "primer3/src/libprimer3/read_boulder.c",
            "primer3/src/libprimer3/thalflex.c",
            "primer3/src/libprimer3/thal_parameters.c",
            "primer3/src/libprimer3/masker.c"
        ]
    },
    "module_name": "primer3.thermoanalysis"
}
END: Cython Metadata */

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#ifndef Py_PYTHON_H
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#define CYTHON_FUTURE_DIVISION 1
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  #undef CYTHON_UNPACK_METHODS
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  #undef CYTHON_FAST_THREAD_STATE
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  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL (__PYX_LIMITED_VERSION_HEX >= 0x030C0000)
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  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
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  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
  #define CYTHON_COMPILING_IN_LIMITED_API 0
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#ifndef CYTHON_FAST_PYCCALL
#define CYTHON_FAST_PYCCALL  CYTHON_FAST_PYCALL
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#ifndef CYTHON_VECTORCALL
#if CYTHON_COMPILING_IN_LIMITED_API
#define CYTHON_VECTORCALL  (__PYX_LIMITED_VERSION_HEX >= 0x030C0000)
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#define CYTHON_VECTORCALL  (CYTHON_FAST_PYCCALL && PY_VERSION_HEX >= 0x030800B1)
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#define CYTHON_BACKPORT_VECTORCALL (CYTHON_METH_FASTCALL && PY_VERSION_HEX < 0x030800B1)
#if CYTHON_USE_PYLONG_INTERNALS
  #undef SHIFT
  #undef BASE
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#ifndef __has_attribute
  #define __has_attribute(x) 0
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#ifndef __has_cpp_attribute
  #define __has_cpp_attribute(x) 0
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#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
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    #define CYTHON_RESTRICT
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#ifndef CYTHON_UNUSED
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      #if __has_cpp_attribute(maybe_unused)
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#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
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#     define CYTHON_UNUSED
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# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
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#   define CYTHON_UNUSED
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     template<class T> void CYTHON_UNUSED_VAR( const T& ) { }
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# if CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#  define CYTHON_NCP_UNUSED
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#ifndef CYTHON_USE_CPP_STD_MOVE
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#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
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    #include <stdint.h>
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#ifndef CYTHON_FALLTHROUGH
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    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
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      #if __has_cpp_attribute(clang::fallthrough)
        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
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      #define CYTHON_FALLTHROUGH
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#ifndef Py_UNREACHABLE
  #define Py_UNREACHABLE()  assert(0); abort()
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  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000)
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#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))

/* CInitCode */
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    #define CYTHON_INLINE __inline__
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    #define CYTHON_INLINE __inline
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    #define CYTHON_INLINE
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#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#define __Pyx_BUILTIN_MODULE_NAME "builtins"
#define __Pyx_DefaultClassType PyType_Type
#if CYTHON_COMPILING_IN_LIMITED_API
    #ifndef CO_OPTIMIZED
    static int CO_OPTIMIZED;
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    #ifndef CO_NEWLOCALS
    static int CO_NEWLOCALS;
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    #ifndef CO_VARKEYWORDS
    static int CO_VARKEYWORDS;
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    #ifndef CO_ASYNC_GENERATOR
    static int CO_ASYNC_GENERATOR;
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    #ifndef CO_GENERATOR
    static int CO_GENERATOR;
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    #ifndef CO_COROUTINE
    static int CO_COROUTINE;
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#else
    #ifndef CO_COROUTINE
      #define CO_COROUTINE 0x80
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    #ifndef CO_ASYNC_GENERATOR
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static int __Pyx_init_co_variables(void);
#if PY_VERSION_HEX >= 0x030900A4 || defined(Py_IS_TYPE)
  #define __Pyx_IS_TYPE(ob, type) Py_IS_TYPE(ob, type)
#else
  #define __Pyx_IS_TYPE(ob, type) (((const PyObject*)ob)->ob_type == (type))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_Is)
  #define __Pyx_Py_Is(x, y)  Py_Is(x, y)
#else
  #define __Pyx_Py_Is(x, y) ((x) == (y))
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#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsNone)
  #define __Pyx_Py_IsNone(ob) Py_IsNone(ob)
#else
  #define __Pyx_Py_IsNone(ob) __Pyx_Py_Is((ob), Py_None)
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#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue)
  #define __Pyx_Py_IsTrue(ob) Py_IsTrue(ob)
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  #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True)
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#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsFalse)
  #define __Pyx_Py_IsFalse(ob) Py_IsFalse(ob)
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  #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False)
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#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
#if PY_VERSION_HEX >= 0x030900F0 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)
#else
  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)
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#ifndef Py_TPFLAGS_CHECKTYPES
  #define Py_TPFLAGS_CHECKTYPES 0
#endif
#ifndef Py_TPFLAGS_HAVE_INDEX
  #define Py_TPFLAGS_HAVE_INDEX 0
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#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
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#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
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#ifndef Py_TPFLAGS_SEQUENCE
  #define Py_TPFLAGS_SEQUENCE 0
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#ifndef Py_TPFLAGS_MAPPING
  #define Py_TPFLAGS_MAPPING 0
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#ifndef METH_FASTCALL
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  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
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#else
  #if PY_VERSION_HEX >= 0x030d00A4
  #  define __Pyx_PyCFunctionFast PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords PyCFunctionFastWithKeywords
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  #  define __Pyx_PyCFunctionFast _PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
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#if CYTHON_METH_FASTCALL
  #define __Pyx_METH_FASTCALL METH_FASTCALL
  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
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  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
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#if CYTHON_VECTORCALL
  #define __pyx_vectorcallfunc vectorcallfunc
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  PY_VECTORCALL_ARGUMENTS_OFFSET
  #define __Pyx_PyVectorcall_NARGS(n)  PyVectorcall_NARGS((size_t)(n))
#elif CYTHON_BACKPORT_VECTORCALL
  typedef PyObject *(*__pyx_vectorcallfunc)(PyObject *callable, PyObject *const *args,
                                            size_t nargsf, PyObject *kwnames);
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  ((size_t)1 << (8 * sizeof(size_t) - 1))
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(((size_t)(n)) & ~__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
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#if PY_VERSION_HEX >= 0x030900B1
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_CheckExact(func)
#else
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_Check(func)
#endif
#define __Pyx_CyOrPyCFunction_Check(func)  PyCFunction_Check(func)
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  (((PyCFunctionObject*)(func))->m_ml->ml_meth)
#elif !CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  PyCFunction_GET_FUNCTION(func)
#endif
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FLAGS(func)  (((PyCFunctionObject*)(func))->m_ml->ml_flags)
static CYTHON_INLINE PyObject* __Pyx_CyOrPyCFunction_GET_SELF(PyObject *func) {
    return (__Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_STATIC) ? NULL : ((PyCFunctionObject*)func)->m_self;
}
#endif
static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void (*cfunc)(void)) {
#if CYTHON_COMPILING_IN_LIMITED_API
    return PyCFunction_Check(func) && PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
#else
    return PyCFunction_Check(func) && PyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
#endif
}
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCFunction(func, cfunc)
#if __PYX_LIMITED_VERSION_HEX < 0x03090000
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
#else
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
  #define __Pyx_PyCMethod  PyCMethod
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#ifndef METH_METHOD
  #define METH_METHOD 0x200
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#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_LIMITED_API
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)
#elif CYTHON_COMPILING_IN_GRAAL
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #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_COMPILING_IN_LIMITED_API
  #define __Pyx_PyThreadState_Current PyThreadState_Get()
#elif !CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#elif PY_VERSION_HEX >= 0x030d00A1
  #define __Pyx_PyThreadState_Current PyThreadState_GetUnchecked()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#endif
#if CYTHON_USE_MODULE_STATE
static CYTHON_INLINE void *__Pyx__PyModule_GetState(PyObject *op)
{
    void *result;
    result = PyModule_GetState(op);
    if (!result)
        Py_FatalError("Couldn't find the module state");
    return result;
}
#define __Pyx_PyModule_GetState(o) (__pyx_mstatetype *)__Pyx__PyModule_GetState(o)
#else
#define __Pyx_PyModule_GetState(op) ((void)op,__pyx_mstate_global)
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE((PyObject *) obj), name, func_ctype)
#define __Pyx_PyObject_TryGetSlot(obj, name, func_ctype) __Pyx_PyType_TryGetSlot(Py_TYPE(obj), name, func_ctype)
#define __Pyx_PyObject_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#define __Pyx_PyObject_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype) __Pyx_PyType_GetSlot(type, name, func_ctype)
  #define __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype) (((type)->sub) ? ((type)->sub->name) : NULL)
  #define __Pyx_PyType_TryGetSubSlot(type, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype)
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype)\
    ((__PYX_LIMITED_VERSION_HEX >= 0x030A0000 ||\
     (PyType_GetFlags(type) & Py_TPFLAGS_HEAPTYPE) || __Pyx_get_runtime_version() >= 0x030A0000) ?\
     __Pyx_PyType_GetSlot(type, name, func_ctype) : NULL)
  #define __Pyx_PyType_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSlot(obj, name, func_ctype)
  #define __Pyx_PyType_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSlot(obj, name, func_ctype)
#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
#define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
#define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStrWithError(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) {
    PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name);
    if (res == NULL) PyErr_Clear();
    return res;
}
#elif !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000
#define __Pyx_PyDict_GetItemStrWithError  PyDict_GetItemWithError
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#else
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) {
#if CYTHON_COMPILING_IN_PYPY
    return PyDict_GetItem(dict, name);
#else
    PyDictEntry *ep;
    PyDictObject *mp = (PyDictObject*) dict;
    long hash = ((PyStringObject *) name)->ob_shash;
    assert(hash != -1);
    ep = (mp->ma_lookup)(mp, name, hash);
    if (ep == NULL) {
        return NULL;
    }
    return ep->me_value;
#endif
}
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#endif
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
  #define __Pyx_PyType_HasFeature(type, feature)  ((__Pyx_PyType_GetFlags(type) & (feature)) != 0)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
#endif
#define __Pyx_PyObject_GetIterNextFunc(iterator)  __Pyx_PyObject_GetSlot(iterator, tp_iternext, iternextfunc)
#if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX >= 0x03080000
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  {\
    PyTypeObject *type = Py_TYPE((PyObject*)obj);\
    assert(__Pyx_PyType_HasFeature(type, Py_TPFLAGS_HEAPTYPE));\
    PyObject_GC_Del(obj);\
    Py_DECREF(type);\
}
#else
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  PyObject_GC_Del(obj)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((void)u, 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((void)u, (0))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)u)
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)k, PyUnicode_ReadChar((PyObject*)(d), i))
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GetLength(u))
#else
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_READY(op)       (0)
  #else
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
  #endif
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         ((int)PyUnicode_KIND(u))
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, (Py_UCS4) ch)
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #else
    #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
    #else
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
    #endif
  #endif
#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)
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  #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))
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#if CYTHON_COMPILING_IN_PYPY
  #if !defined(PyUnicode_DecodeUnicodeEscape)
    #define PyUnicode_DecodeUnicodeEscape(s, size, errors)  PyUnicode_Decode(s, size, "unicode_escape", errors)
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  #if !defined(PyUnicode_Contains)
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
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  #if !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
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  #if !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #endif
#endif
#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 CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj))
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  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        __Pyx_IS_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)
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#if CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i)
  #elif CYTHON_COMPILING_IN_LIMITED_API || !CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_PyList_GetItemRef(o, i) (likely((i) >= 0) ? PySequence_GetItem(o, i) : (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
  #else
    #define __Pyx_PyList_GetItemRef(o, i) PySequence_ITEM(o, i)
  #endif
#elif CYTHON_COMPILING_IN_LIMITED_API || !CYTHON_ASSUME_SAFE_MACROS
  #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i)
  #else
    #define __Pyx_PyList_GetItemRef(o, i) __Pyx_XNewRef(PyList_GetItem(o, i))
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#else
  #define __Pyx_PyList_GetItemRef(o, i) __Pyx_NewRef(PyList_GET_ITEM(o, i))
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_PyDict_GetItemRef(dict, key, result) PyDict_GetItemRef(dict, key, result)
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyObject_GetItem(dict, key);
  if (*result == NULL) {
    if (PyErr_ExceptionMatches(PyExc_KeyError)) {
      PyErr_Clear();
      return 0;
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    return -1;
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  return 1;
}
#else
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyDict_GetItemWithError(dict, key);
  if (*result == NULL) {
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  Py_INCREF(*result);
  return 1;
}
#endif
#if defined(CYTHON_DEBUG_VISIT_CONST) && CYTHON_DEBUG_VISIT_CONST
  #define __Pyx_VISIT_CONST(obj)  Py_VISIT(obj)
#else
  #define __Pyx_VISIT_CONST(obj)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_ITEM(o, i) PySequence_ITEM(o, i)
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) (PyTuple_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GET_ITEM(o, i)
  #define __Pyx_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GET_ITEM(o, i)
#else
  #define __Pyx_PySequence_ITEM(o, i) PySequence_GetItem(o, i)
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) PyTuple_SetItem(o, i, v)
  #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GetItem(o, i)
  #define __Pyx_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v)
  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GetItem(o, i)
#endif
#if CYTHON_ASSUME_SAFE_SIZE
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_GET_SIZE(o)
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#include <stdlib.h>
#include "p3helpers.h"
#include <float.h>
#include <stdio.h>
#include "thal.h"
#include "oligotm.h"
#include "p3_seq_lib.h"
#include "masker.h"
#include "libprimer3.h"
#include "read_boulder.h"
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template <typename T>
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static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
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static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * const __pyx_cfilenm = __FILE__;
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static const char* const __pyx_f[] = {
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/* #### Code section: utility_code_proto_before_types ### */
/* Atomics.proto */
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#ifndef CYTHON_ATOMICS
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#define __PYX_CYTHON_ATOMICS_ENABLED() CYTHON_ATOMICS
#define __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
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#define __pyx_nonatomic_int_type int
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/* #### Code section: numeric_typedefs ### */
/* #### Code section: complex_type_declarations ### */
/* #### Code section: type_declarations ### */

/*--- Type declarations ---*/
struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult;
struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis;
struct __pyx_opt_args_7primer3_9p3helpers_reverse_complement;
struct __pyx_opt_args_7primer3_9p3helpers_reverse_complement_b;

/* "primer3/p3helpers.pxd":19
 * 
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 * cpdef str reverse_complement(str seq, bint do_sanitize=*)             # <<<<<<<<<<<<<<
 * cpdef bytes reverse_complement_b(bytes seq, bint do_sanitize=*)
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*/
struct __pyx_opt_args_7primer3_9p3helpers_reverse_complement {
  int __pyx_n;
  int do_sanitize;
};

/* "primer3/p3helpers.pxd":20
 * # Declare Python-visible functions - these must match EXACTLY how they're defined in pyx
 * cpdef str reverse_complement(str seq, bint do_sanitize=*)
 * cpdef bytes reverse_complement_b(bytes seq, bint do_sanitize=*)             # <<<<<<<<<<<<<<
 * cpdef str sanitize_sequence(str seq)
 * cpdef bytes sanitize_sequence_b(bytes seq)
*/
struct __pyx_opt_args_7primer3_9p3helpers_reverse_complement_b {
  int __pyx_n;
  int do_sanitize;
};
struct __pyx_t_7primer3_14thermoanalysis_p3_thal_args_t;
typedef struct __pyx_t_7primer3_14thermoanalysis_p3_thal_args_t __pyx_t_7primer3_14thermoanalysis_p3_thal_args_t;
struct __pyx_t_7primer3_14thermoanalysis_p3_thal_results_t;
typedef struct __pyx_t_7primer3_14thermoanalysis_p3_thal_results_t __pyx_t_7primer3_14thermoanalysis_p3_thal_results_t;
struct __pyx_opt_args_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_heterodimer;
struct __pyx_opt_args_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_homodimer;
struct __pyx_opt_args_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_hairpin;

/* "primer3/thermoanalysis.pxd":30
 * 
 * # Shadow struct for primer3 `thal.h` `thal_args`
 * ctypedef struct p3_thal_args_t:             # <<<<<<<<<<<<<<
 *     # int debug                 # if non zero, print debugging info to stderr
 *     int type  # type of thermodynamic alignment
*/
struct __pyx_t_7primer3_14thermoanalysis_p3_thal_args_t {
  int type;
  int maxLoop;
  double mv;
  double dv;
  double dntp;
  double dna_conc;
  double temp;
  int dimer;
};

/* "primer3/thermoanalysis.pxd":44
 * 
 * # Shadow struct for primer3 `thal.h` `thal_results`
 * ctypedef struct p3_thal_results_t:             # <<<<<<<<<<<<<<
 *     char msg[255]
 *     int no_structure # Added no structure (1 if no structure found)
*/
struct __pyx_t_7primer3_14thermoanalysis_p3_thal_results_t {
  char msg[0xFF];
  int no_structure;
  double temp;
  double ds;
  double dh;
  double dg;
  int align_end_1;
  int align_end_2;
  char *sec_struct;
};

/* "primer3/thermoanalysis.pxd":118
 *     )
 * 
 *     cpdef ThermoResult calc_heterodimer(             # <<<<<<<<<<<<<<
 *             _ThermoAnalysis self,
 *             object seq1,
*/
struct __pyx_opt_args_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_heterodimer {
  int __pyx_n;
  int output_structure;
};

/* "primer3/thermoanalysis.pxd":125
 *     )
 * 
 *     cpdef ThermoResult calc_homodimer(             # <<<<<<<<<<<<<<
 *             _ThermoAnalysis self,
 *             object seq1,
*/
struct __pyx_opt_args_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_homodimer {
  int __pyx_n;
  int output_structure;
};

/* "primer3/thermoanalysis.pxd":131
 *     )
 * 
 *     cpdef ThermoResult calc_hairpin(             # <<<<<<<<<<<<<<
 *             _ThermoAnalysis self,
 *             object seq1,
*/
struct __pyx_opt_args_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_hairpin {
  int __pyx_n;
  int output_structure;
};

/* "primer3/thermoanalysis.pxd":56
 * 
 * 
 * cdef class ThermoResult:             # <<<<<<<<<<<<<<
 *     cdef:
 *         p3_thal_results_t thalres
*/
struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult {
  PyObject_HEAD
  __pyx_t_7primer3_14thermoanalysis_p3_thal_results_t thalres;
  PyObject *ascii_structure;
};


/* "primer3/thermoanalysis.pxd":62
 * 
 * 
 * cdef class _ThermoAnalysis:             # <<<<<<<<<<<<<<
 *     cdef:
 *         p3_thal_args_t thalargs
*/
struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis {
  PyObject_HEAD
  struct __pyx_vtabstruct_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_vtab;
  __pyx_t_7primer3_14thermoanalysis_p3_thal_args_t thalargs;
  int eval_mode;
  int max_nn_length;
  int _tm_method;
  PyObject *_tm_methods_int_dict;
  int _salt_correction_method;
  PyObject *_salt_correction_methods_int_dict;
  float dmso_conc;
  float dmso_fact;
  float formamide_conc;
  float annealing_temp_c;
  void *global_settings_data;
  void *sequence_args_data;
};



/* "primer3/thermoanalysis.pyx":298
 * 
 * 
 * cdef class _ThermoAnalysis:             # <<<<<<<<<<<<<<
 *     ''' Python class that serves as the entry point for thermodynamic
 *     calculations. Should be instantiated with the proper thermodynamic
*/

struct __pyx_vtabstruct_7primer3_14thermoanalysis__ThermoAnalysis {
  struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *(*calc_heterodimer_c)(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *, unsigned char *, unsigned char *, int, char *);
  struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *(*calc_homodimer_c)(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *, unsigned char *, int, char *);
  struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *(*calc_hairpin_c)(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *, unsigned char *, int, char *);
  struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *(*calc_end_stability_c)(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *, unsigned char *, unsigned char *);
  double (*calc_tm_c)(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *, char *);
  struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *(*calc_heterodimer)(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *, PyObject *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_heterodimer *__pyx_optional_args);
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  struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *(*calc_hairpin)(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_hairpin *__pyx_optional_args);
  PyObject *(*mispriming_check)(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *, PyObject *, PyObject *, double, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_vtabptr_7primer3_14thermoanalysis__ThermoAnalysis;
static CYTHON_INLINE struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_heterodimer_c(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *, unsigned char *, unsigned char *, int, char *);
static CYTHON_INLINE struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_homodimer_c(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *, unsigned char *, int, char *);
static CYTHON_INLINE struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_hairpin_c(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *, unsigned char *, int, char *);
static CYTHON_INLINE struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_end_stability_c(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *, unsigned char *, unsigned char *);
static CYTHON_INLINE double __pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_tm_c(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *, char *);
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static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
#endif

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

/* GetBuiltinName.proto */
static PyObject *__Pyx_GetBuiltinName(PyObject *name);

/* TupleAndListFromArray.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n);
#endif
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject* __Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n);
#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);

/* fastcall.proto */
#if CYTHON_AVOID_BORROWED_REFS
    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_PySequence_ITEM(args, i)
#elif CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_NewRef(__Pyx_PyTuple_GET_ITEM(args, i))
#else
    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_XNewRef(PyTuple_GetItem(args, i))
#endif
#define __Pyx_NumKwargs_VARARGS(kwds) PyDict_Size(kwds)
#define __Pyx_KwValues_VARARGS(args, nargs) NULL
#define __Pyx_GetKwValue_VARARGS(kw, kwvalues, s) __Pyx_PyDict_GetItemStrWithError(kw, s)
#define __Pyx_KwargsAsDict_VARARGS(kw, kwvalues) PyDict_Copy(kw)
#if CYTHON_METH_FASTCALL
    #define __Pyx_ArgRef_FASTCALL(args, i) __Pyx_NewRef(args[i])
    #define __Pyx_NumKwargs_FASTCALL(kwds) __Pyx_PyTuple_GET_SIZE(kwds)
    #define __Pyx_KwValues_FASTCALL(args, nargs) ((args) + (nargs))
    static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API
    CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues);
  #else
    #define __Pyx_KwargsAsDict_FASTCALL(kw, kwvalues) _PyStack_AsDict(kwvalues, kw)
  #endif
#else
    #define __Pyx_ArgRef_FASTCALL __Pyx_ArgRef_VARARGS
    #define __Pyx_NumKwargs_FASTCALL __Pyx_NumKwargs_VARARGS
    #define __Pyx_KwValues_FASTCALL __Pyx_KwValues_VARARGS
    #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS
    #define __Pyx_KwargsAsDict_FASTCALL __Pyx_KwargsAsDict_VARARGS
#endif
#define __Pyx_ArgsSlice_VARARGS(args, start, stop) PyTuple_GetSlice(args, start, stop)
#if CYTHON_METH_FASTCALL || (CYTHON_COMPILING_IN_CPYTHON && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) __Pyx_PyTuple_FromArray(args + start, stop - start)
#else
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) PyTuple_GetSlice(args, start, stop)
#endif

/* PyDictVersioning.proto */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
    (version_var) = __PYX_GET_DICT_VERSION(dict);\
    (cache_var) = (value);
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
        (VAR) = __pyx_dict_cached_value;\
    } else {\
        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
    }\
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
#else
#define __PYX_GET_DICT_VERSION(dict)  (0)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
#endif

/* GetModuleGlobalName.proto */
#if CYTHON_USE_DICT_VERSIONS
#define __Pyx_GetModuleGlobalName(var, name)  do {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_mstate_global->__pyx_d))) ?\
        (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\
        __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  do {\
    PY_UINT64_T __pyx_dict_version;\
    PyObject *__pyx_dict_cached_value;\
    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
#else
#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
#endif

/* RaiseUnexpectedTypeError.proto */
static int __Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj);

/* PyObjectFastCallMethod.proto */
#if CYTHON_VECTORCALL && PY_VERSION_HEX >= 0x03090000
#define __Pyx_PyObject_FastCallMethod(name, args, nargsf) PyObject_VectorcallMethod(name, args, nargsf, NULL)
#else
static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf);
#endif

/* PyObjectFormatSimple.proto */
#if CYTHON_COMPILING_IN_PYPY
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#elif CYTHON_USE_TYPE_SLOTS
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        likely(PyLong_CheckExact(s)) ? PyLong_Type.tp_repr(s) :\
        likely(PyFloat_CheckExact(s)) ? PyFloat_Type.tp_repr(s) :\
        PyObject_Format(s, f))
#else
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#endif

/* PyFunctionFastCall.proto */
#if CYTHON_FAST_PYCALL
#if !CYTHON_VECTORCALL
#define __Pyx_PyFunction_FastCall(func, args, nargs)\
    __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject *const *args, Py_ssize_t nargs, PyObject *kwargs);
#endif
#define __Pyx_BUILD_ASSERT_EXPR(cond)\
    (sizeof(char [1 - 2*!(cond)]) - 1)
#ifndef Py_MEMBER_SIZE
#define Py_MEMBER_SIZE(type, member) sizeof(((type *)0)->member)
#endif
#if !CYTHON_VECTORCALL
#if PY_VERSION_HEX >= 0x03080000
  #include "frameobject.h"
  #define __Pxy_PyFrame_Initialize_Offsets()
  #define __Pyx_PyFrame_GetLocalsplus(frame)  ((frame)->f_localsplus)
#else
  static size_t __pyx_pyframe_localsplus_offset = 0;
  #include "frameobject.h"
  #define __Pxy_PyFrame_Initialize_Offsets()\
    ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\
     (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus)))
  #define __Pyx_PyFrame_GetLocalsplus(frame)\
    (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset))
#endif
#endif
#endif

/* PyObjectCall.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
#else
#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
#endif

/* PyObjectCallMethO.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

/* PyObjectFastCall.proto */
#define __Pyx_PyObject_FastCall(func, args, nargs)  __Pyx_PyObject_FastCallDict(func, args, (size_t)(nargs), NULL)
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject * const*args, size_t nargs, PyObject *kwargs);

/* RaiseException.proto */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);

/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* SwapException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* GetTopmostException.proto */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif

/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif

/* RaiseDoubleKeywords.proto */
static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

/* ParseKeywords.proto */
static CYTHON_INLINE int __Pyx_ParseKeywords(
    PyObject *kwds, PyObject *const *kwvalues, PyObject ** const argnames[],
    PyObject *kwds2, PyObject *values[],
    Py_ssize_t num_pos_args, Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs
);

/* CallCFunction.proto */
#define __Pyx_CallCFunction(cfunc, self, args)\
    ((PyCFunction)(void(*)(void))(cfunc)->func)(self, args)
#define __Pyx_CallCFunctionWithKeywords(cfunc, self, args, kwargs)\
    ((PyCFunctionWithKeywords)(void(*)(void))(cfunc)->func)(self, args, kwargs)
#define __Pyx_CallCFunctionFast(cfunc, self, args, nargs)\
    ((__Pyx_PyCFunctionFast)(void(*)(void))(PyCFunction)(cfunc)->func)(self, args, nargs)
#define __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, nargs, kwnames)\
    ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))(PyCFunction)(cfunc)->func)(self, args, nargs, kwnames)

/* UnpackUnboundCMethod.proto */
typedef struct {
    PyObject *type;
    PyObject **method_name;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && CYTHON_ATOMICS
    __pyx_atomic_int_type initialized;
#endif
    PyCFunction func;
    PyObject *method;
    int flag;
} __Pyx_CachedCFunction;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
static CYTHON_INLINE int __Pyx_CachedCFunction_GetAndSetInitializing(__Pyx_CachedCFunction *cfunc) {
#if !CYTHON_ATOMICS
    return 1;
#else
    __pyx_nonatomic_int_type expected = 0;
    if (__pyx_atomic_int_cmp_exchange(&cfunc->initialized, &expected, 1)) {
        return 0;
    }
    return expected;
#endif
}
static CYTHON_INLINE void __Pyx_CachedCFunction_SetFinishedInitializing(__Pyx_CachedCFunction *cfunc) {
#if CYTHON_ATOMICS
    __pyx_atomic_store(&cfunc->initialized, 2);
#endif
}
#else
#define __Pyx_CachedCFunction_GetAndSetInitializing(cfunc) 2
#define __Pyx_CachedCFunction_SetFinishedInitializing(cfunc)
#endif

/* CallUnboundCMethod2.proto */
CYTHON_UNUSED
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2);
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2);
#else
#define __Pyx_CallUnboundCMethod2(cfunc, self, arg1, arg2)  __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2)
#endif

/* RaiseArgTupleInvalid.proto */
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);

/* RejectKeywords.proto */
static void __Pyx_RejectKeywords(const char* function_name, PyObject *kwds);

/* PyObjectFormat.proto */
#if CYTHON_USE_UNICODE_WRITER
static PyObject* __Pyx_PyObject_Format(PyObject* s, PyObject* f);
#else
#define __Pyx_PyObject_Format(s, f) PyObject_Format(s, f)
#endif

/* JoinPyUnicode.proto */
static PyObject* __Pyx_PyUnicode_Join(PyObject** values, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      Py_UCS4 max_char);

/* ArgTypeTest.proto */
#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
    ((likely(__Pyx_IS_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);

/* PyDictContains.proto */
static CYTHON_INLINE int __Pyx_PyDict_ContainsTF(PyObject* item, PyObject* dict, int eq) {
    int result = PyDict_Contains(dict, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

/* DictGetItem.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key);
#define __Pyx_PyObject_Dict_GetItem(obj, name)\
    (likely(PyDict_CheckExact(obj)) ?\
     __Pyx_PyDict_GetItem(obj, name) : PyObject_GetItem(obj, name))
#else
#define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
#define __Pyx_PyObject_Dict_GetItem(obj, name)  PyObject_GetItem(obj, name)
#endif

/* PyObjectDelAttr.proto */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
#define __Pyx_PyObject_DelAttr(o, n) PyObject_SetAttr(o, n, NULL)
#else
#define __Pyx_PyObject_DelAttr(o, n) PyObject_DelAttr(o, n)
#endif

/* 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)   __Pyx_PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
#endif

/* IterFinish.proto */
static CYTHON_INLINE int __Pyx_IterFinish(void);

/* PyObjectCallNoArg.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);

/* PyObjectCallOneArg.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

/* PyObjectGetMethod.proto */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);

/* PyObjectCallMethod0.proto */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);

/* RaiseNeedMoreValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

/* RaiseTooManyValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

/* UnpackItemEndCheck.proto */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

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

/* UnpackTupleError.proto */
static void __Pyx_UnpackTupleError(PyObject *, Py_ssize_t index);

/* UnpackTuple2.proto */
static CYTHON_INLINE int __Pyx_unpack_tuple2(
    PyObject* tuple, PyObject** value1, PyObject** value2, int is_tuple, int has_known_size, int decref_tuple);
static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
    PyObject* tuple, PyObject** value1, PyObject** value2, int decref_tuple);
static int __Pyx_unpack_tuple2_generic(
    PyObject* tuple, PyObject** value1, PyObject** value2, int has_known_size, int decref_tuple);

/* dict_iter.proto */
static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* dict, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_is_dict);
static CYTHON_INLINE int __Pyx_dict_iter_next(PyObject* dict_or_iter, Py_ssize_t orig_length, Py_ssize_t* ppos,
                                              PyObject** pkey, PyObject** pvalue, PyObject** pitem, int is_dict);

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_AddObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_AddObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

/* GetItemInt.proto */
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck, has_gil)\
    (__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, has_gil)\
    (__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, has_gil)\
    (__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);

/* pybytes_as_double.proto */
static double __Pyx_SlowPyString_AsDouble(PyObject *obj);
static double __Pyx__PyBytes_AsDouble(PyObject *obj, const char* start, Py_ssize_t length);
static CYTHON_INLINE double __Pyx_PyBytes_AsDouble(PyObject *obj) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    as_c_string = PyBytes_AS_STRING(obj);
    size = PyBytes_GET_SIZE(obj);
#else
    if (PyBytes_AsStringAndSize(obj, &as_c_string, &size) < 0) {
        return (double)-1;
    }
#endif
    return __Pyx__PyBytes_AsDouble(obj, as_c_string, size);
}
static CYTHON_INLINE double __Pyx_PyByteArray_AsDouble(PyObject *obj) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    as_c_string = PyByteArray_AS_STRING(obj);
    size = PyByteArray_GET_SIZE(obj);
#else
    as_c_string = PyByteArray_AsString(obj);
    if (as_c_string == NULL) {
        return (double)-1;
    }
    size = PyByteArray_Size(obj);
#endif
    return __Pyx__PyBytes_AsDouble(obj, as_c_string, size);
}

/* pyunicode_as_double.proto */
#if !CYTHON_COMPILING_IN_PYPY && CYTHON_ASSUME_SAFE_MACROS
static const char* __Pyx__PyUnicode_AsDouble_Copy(const void* data, const int kind, char* buffer, Py_ssize_t start, Py_ssize_t end) {
    int last_was_punctuation;
    Py_ssize_t i;
    last_was_punctuation = 1;
    for (i=start; i <= end; i++) {
        Py_UCS4 chr = PyUnicode_READ(kind, data, i);
        int is_punctuation = (chr == '_') | (chr == '.');
        *buffer = (char)chr;
        buffer += (chr != '_');
        if (unlikely(chr > 127)) goto parse_failure;
        if (unlikely(last_was_punctuation & is_punctuation)) goto parse_failure;
        last_was_punctuation = is_punctuation;
    }
    if (unlikely(last_was_punctuation)) goto parse_failure;
    *buffer = '\0';
    return buffer;
parse_failure:
    return NULL;
}
static double __Pyx__PyUnicode_AsDouble_inf_nan(const void* data, int kind, Py_ssize_t start, Py_ssize_t length) {
    int matches = 1;
    Py_UCS4 chr;
    Py_UCS4 sign = PyUnicode_READ(kind, data, start);
    int is_signed = (sign == '-') | (sign == '+');
    start += is_signed;
    length -= is_signed;
    switch (PyUnicode_READ(kind, data, start)) {
        #ifdef Py_NAN
        case 'n':
        case 'N':
            if (unlikely(length != 3)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+1);
            matches &= (chr == 'a') | (chr == 'A');
            chr = PyUnicode_READ(kind, data, start+2);
            matches &= (chr == 'n') | (chr == 'N');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_NAN : Py_NAN;
        #endif
        case 'i':
        case 'I':
            if (unlikely(length < 3)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+1);
            matches &= (chr == 'n') | (chr == 'N');
            chr = PyUnicode_READ(kind, data, start+2);
            matches &= (chr == 'f') | (chr == 'F');
            if (likely(length == 3 && matches))
                return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
            if (unlikely(length != 8)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+3);
            matches &= (chr == 'i') | (chr == 'I');
            chr = PyUnicode_READ(kind, data, start+4);
            matches &= (chr == 'n') | (chr == 'N');
            chr = PyUnicode_READ(kind, data, start+5);
            matches &= (chr == 'i') | (chr == 'I');
            chr = PyUnicode_READ(kind, data, start+6);
            matches &= (chr == 't') | (chr == 'T');
            chr = PyUnicode_READ(kind, data, start+7);
            matches &= (chr == 'y') | (chr == 'Y');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
        case '.': case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9':
            break;
        default:
            goto parse_failure;
    }
    return 0.0;
parse_failure:
    return -1.0;
}
static double __Pyx_PyUnicode_AsDouble_WithSpaces(PyObject *obj) {
    double value;
    const char *last;
    char *end;
    Py_ssize_t start, length = PyUnicode_GET_LENGTH(obj);
    const int kind = PyUnicode_KIND(obj);
    const void* data = PyUnicode_DATA(obj);
    start = 0;
    while (Py_UNICODE_ISSPACE(PyUnicode_READ(kind, data, start)))
        start++;
    while (start < length - 1 && Py_UNICODE_ISSPACE(PyUnicode_READ(kind, data, length - 1)))
        length--;
    length -= start;
    if (unlikely(length <= 0)) goto fallback;
    value = __Pyx__PyUnicode_AsDouble_inf_nan(data, kind, start, length);
    if (unlikely(value == -1.0)) goto fallback;
    if (value != 0.0) return value;
    if (length < 40) {
        char number[40];
        last = __Pyx__PyUnicode_AsDouble_Copy(data, kind, number, start, start + length);
        if (unlikely(!last)) goto fallback;
        value = PyOS_string_to_double(number, &end, NULL);
    } else {
        char *number = (char*) PyMem_Malloc((length + 1) * sizeof(char));
        if (unlikely(!number)) goto fallback;
        last = __Pyx__PyUnicode_AsDouble_Copy(data, kind, number, start, start + length);
        if (unlikely(!last)) {
            PyMem_Free(number);
            goto fallback;
        }
        value = PyOS_string_to_double(number, &end, NULL);
        PyMem_Free(number);
    }
    if (likely(end == last) || (value == (double)-1 && PyErr_Occurred())) {
        return value;
    }
fallback:
    return __Pyx_SlowPyString_AsDouble(obj);
}
#endif
static CYTHON_INLINE double __Pyx_PyUnicode_AsDouble(PyObject *obj) {
#if !CYTHON_COMPILING_IN_PYPY && CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(__Pyx_PyUnicode_READY(obj) == -1))
        return (double)-1;
    if (likely(PyUnicode_IS_ASCII(obj))) {
        const char *s;
        Py_ssize_t length;
        s = PyUnicode_AsUTF8AndSize(obj, &length);
        return __Pyx__PyBytes_AsDouble(obj, s, length);
    }
    return __Pyx_PyUnicode_AsDouble_WithSpaces(obj);
#else
    return __Pyx_SlowPyString_AsDouble(obj);
#endif
}

/* pynumber_float.proto */
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Float(PyObject* obj);
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : __Pyx__PyNumber_Float(x))

/* decode_c_string_utf16.proto */
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 0;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16LE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = -1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16BE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}

/* decode_c_string.proto */
static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));

/* ExtTypeTest.proto */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);

/* PyObjectCall2Args.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);

/* CallUnboundCMethod1.proto */
CYTHON_UNUSED
static PyObject* __Pyx__CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg);
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg);
#else
#define __Pyx_CallUnboundCMethod1(cfunc, self, arg)  __Pyx__CallUnboundCMethod1(cfunc, self, arg)
#endif

/* dict_getitem_default.proto */
static PyObject* __Pyx_PyDict_GetItemDefault(PyObject* d, PyObject* key, PyObject* default_value);

/* SliceObject.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(
        PyObject* obj, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
        int has_cstart, int has_cstop, int wraparound);

/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
#define __Pyx_TypeCheck2(obj, type1, type2) __Pyx_IsAnySubtype2(Py_TYPE(obj), (PyTypeObject *)type1, (PyTypeObject *)type2)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, 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_TypeCheck2(obj, type1, type2) (PyObject_TypeCheck(obj, (PyTypeObject *)type1) || PyObject_TypeCheck(obj, (PyTypeObject *)type2))
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2) {
    return PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2);
}
#endif
#define __Pyx_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2)
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
#ifdef PyExceptionInstance_Check
  #define __Pyx_PyBaseException_Check(obj) PyExceptionInstance_Check(obj)
#else
  #define __Pyx_PyBaseException_Check(obj) __Pyx_TypeCheck(obj, PyExc_BaseException)
#endif

/* PyObjectVectorCallKwBuilder.proto */
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n);
#if CYTHON_VECTORCALL
#if PY_VERSION_HEX >= 0x03090000
#define __Pyx_Object_Vectorcall_CallFromBuilder PyObject_Vectorcall
#else
#define __Pyx_Object_Vectorcall_CallFromBuilder _PyObject_Vectorcall
#endif
#define __Pyx_MakeVectorcallBuilderKwds(n) PyTuple_New(n)
static int __Pyx_VectorcallBuilder_AddArg(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n);
static int __Pyx_VectorcallBuilder_AddArgStr(const char *key, PyObject *value, PyObject *builder, PyObject **args, int n);
#else
#define __Pyx_Object_Vectorcall_CallFromBuilder __Pyx_PyObject_FastCallDict
#define __Pyx_MakeVectorcallBuilderKwds(n) __Pyx_PyDict_NewPresized(n)
#define __Pyx_VectorcallBuilder_AddArg(key, value, builder, args, n) PyDict_SetItem(builder, key, value)
#define __Pyx_VectorcallBuilder_AddArgStr(key, value, builder, args, n) PyDict_SetItemString(builder, key, value)
#endif

/* PyObjectVectorCallMethodKwBuilder.proto */
#if CYTHON_VECTORCALL && PY_VERSION_HEX >= 0x03090000
#define __Pyx_Object_VectorcallMethod_CallFromBuilder PyObject_VectorcallMethod
#else
static PyObject *__Pyx_Object_VectorcallMethod_CallFromBuilder(PyObject *name, PyObject *const *args, size_t nargsf, PyObject *kwnames);
#endif

/* decode_c_bytes.proto */
static CYTHON_INLINE PyObject* __Pyx_decode_c_bytes(
         const char* cstring, Py_ssize_t length, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));

/* decode_bytes.proto */
static CYTHON_INLINE PyObject* __Pyx_decode_bytes(
         PyObject* string, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    as_c_string = PyBytes_AS_STRING(string);
    size = PyBytes_GET_SIZE(string);
#else
    if (PyBytes_AsStringAndSize(string, &as_c_string, &size) < 0) {
        return NULL;
    }
#endif
    return __Pyx_decode_c_bytes(
        as_c_string, size,
        start, stop, encoding, errors, decode_func);
}

/* BuildPyUnicode.proto */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, const char* chars, int clength,
                                                int prepend_sign, char padding_char);

/* COrdinalToPyUnicode.proto */
static CYTHON_INLINE int __Pyx_CheckUnicodeValue(int value);
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromOrdinal_Padded(int value, Py_ssize_t width, char padding_char);

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

/* IncludeStdlibH.proto */
#include <stdlib.h>

/* CIntToPyUnicode.proto */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char);

/* SetItemInt.proto */
#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck, has_gil)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list assignment index out of range"), -1) :\
               __Pyx_SetItemInt_Generic(o, to_py_func(i), v)))
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int is_list, int wraparound, int boundscheck);

/* 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));
}

/* 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

/* CallTypeTraverse.proto */
#if !CYTHON_USE_TYPE_SPECS || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x03090000)
#define __Pyx_call_type_traverse(o, always_call, visit, arg) 0
#else
static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg);
#endif

/* LimitedApiGetTypeDict.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_GetTypeDict(PyTypeObject *tp);
#endif

/* SetItemOnTypeDict.proto */
static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v);
#define __Pyx_SetItemOnTypeDict(tp, k, v) __Pyx__SetItemOnTypeDict((PyTypeObject*)tp, k, v)

/* FixUpExtensionType.proto */
static CYTHON_INLINE int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type);

/* ValidateBasesTuple.proto */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases);
#endif

/* PyType_Ready.proto */
CYTHON_UNUSED static int __Pyx_PyType_Ready(PyTypeObject *t);

/* DelItemOnTypeDict.proto */
static int __Pyx__DelItemOnTypeDict(PyTypeObject *tp, PyObject *k);
#define __Pyx_DelItemOnTypeDict(tp, k) __Pyx__DelItemOnTypeDict((PyTypeObject*)tp, k)

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

/* SetVTable.proto */
static int __Pyx_SetVtable(PyTypeObject* typeptr , void* vtable);

/* GetVTable.proto */
static void* __Pyx_GetVtable(PyTypeObject *type);

/* MergeVTables.proto */
static int __Pyx_MergeVtables(PyTypeObject *type);

/* Import.proto */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

/* ImportDottedModule.proto */
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple);
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple);

/* ListPack.proto */
static PyObject *__Pyx_PyList_Pack(Py_ssize_t n, ...);

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

/* FetchSharedCythonModule.proto */
static PyObject *__Pyx_FetchSharedCythonABIModule(void);

/* dict_setdefault.proto */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value, int is_safe_type);

/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases);

/* CommonTypesMetaclass.proto */
static int __pyx_CommonTypesMetaclass_init(PyObject *module);
#define __Pyx_CommonTypesMetaclass_USED

/* PyMethodNew.proto */
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ);

/* PyVectorcallFastCallDict.proto */
#if CYTHON_METH_FASTCALL && (CYTHON_VECTORCALL || CYTHON_BACKPORT_VECTORCALL)
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw);
#endif

/* CythonFunctionShared.proto */
#define __Pyx_CyFunction_USED
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CYFUNCTION_COROUTINE     0x08
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_CyFunction_GetClassObj(f)\
      (((__pyx_CyFunctionObject *) (f))->func_classobj)
#else
  #define __Pyx_CyFunction_GetClassObj(f)\
      ((PyObject*) ((PyCMethodObject *) (f))->mm_class)
#endif
#define __Pyx_CyFunction_SetClassObj(f, classobj)\
    __Pyx__CyFunction_SetClassObj((__pyx_CyFunctionObject *) (f), (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 {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject_HEAD
    PyObject *func;
#elif PY_VERSION_HEX < 0x030900B1
    PyCFunctionObject func;
#else
    PyCMethodObject func;
#endif
#if CYTHON_BACKPORT_VECTORCALL ||\
        (CYTHON_COMPILING_IN_LIMITED_API && CYTHON_METH_FASTCALL)
    __pyx_vectorcallfunc func_vectorcall;
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    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;
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_classobj;
#endif
    PyObject *defaults;
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
    PyObject *func_is_coroutine;
} __pyx_CyFunctionObject;
#undef __Pyx_CyOrPyCFunction_Check
#define __Pyx_CyFunction_Check(obj)  __Pyx_TypeCheck(obj, __pyx_mstate_global->__pyx_CyFunctionType)
#define __Pyx_CyOrPyCFunction_Check(obj)  __Pyx_TypeCheck2(obj, __pyx_mstate_global->__pyx_CyFunctionType, &PyCFunction_Type)
#define __Pyx_CyFunction_CheckExact(obj)  __Pyx_IS_TYPE(obj, __pyx_mstate_global->__pyx_CyFunctionType)
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void));
#undef __Pyx_IsSameCFunction
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCyOrCFunction(func, cfunc)
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj);
static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func,
                                                         PyTypeObject *defaults_type);
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(PyObject *module);
#if CYTHON_METH_FASTCALL
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
#if CYTHON_BACKPORT_VECTORCALL || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyFunction_func_vectorcall(f) (((__pyx_CyFunctionObject*)f)->func_vectorcall)
#else
#define __Pyx_CyFunction_func_vectorcall(f) (((PyCFunctionObject*)f)->vectorcall)
#endif
#endif

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

/* Py3UpdateBases.proto */
static PyObject* __Pyx_PEP560_update_bases(PyObject *bases);

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

/* SetNameInClass.proto */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030d0000
#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

/* PyObjectLookupSpecial.proto */
#if CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_LookupSpecialNoError(obj, attr_name)  __Pyx__PyObject_LookupSpecial(obj, attr_name, 0)
#define __Pyx_PyObject_LookupSpecial(obj, attr_name)  __Pyx__PyObject_LookupSpecial(obj, attr_name, 1)
static CYTHON_INLINE PyObject* __Pyx__PyObject_LookupSpecial(PyObject* obj, PyObject* attr_name, int with_error);
#else
#define __Pyx_PyObject_LookupSpecialNoError(o,n) __Pyx_PyObject_GetAttrStrNoError(o,n)
#define __Pyx_PyObject_LookupSpecial(o,n) __Pyx_PyObject_GetAttrStr(o,n)
#endif

/* 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);

/* CLineInTraceback.proto */
#if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#else
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
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/* CodeObjectCache.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject __Pyx_CachedCodeObjectType;
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typedef PyCodeObject __Pyx_CachedCodeObjectType;
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typedef struct {
    __Pyx_CachedCodeObjectType* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_atomic_int_type accessor_count;
  #endif
};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object);

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

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

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_char(char value);

/* FormatTypeName.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%U"
#define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj)
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_PyType_GetFullyQualifiedName PyType_GetFullyQualifiedName
#else
static __Pyx_TypeName __Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp);
#endif
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typedef const char *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%.200s"
#define __Pyx_PyType_GetFullyQualifiedName(tp) ((tp)->tp_name)
#define __Pyx_DECREF_TypeName(obj)
#endif

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

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

/* GetRuntimeVersion.proto */
static unsigned long __Pyx_get_runtime_version(void);

/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer);

/* FunctionImport.proto */
static int __Pyx_ImportFunction_3_1_2(PyObject *module, const char *funcname, void (**f)(void), const char *sig);

/* MultiPhaseInitModuleState.proto */
#if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE
static PyObject *__Pyx_State_FindModule(void*);
static int __Pyx_State_AddModule(PyObject* module, void*);
static int __Pyx_State_RemoveModule(void*);
#elif CYTHON_USE_MODULE_STATE
#define __Pyx_State_FindModule PyState_FindModule
#define __Pyx_State_AddModule PyState_AddModule
#define __Pyx_State_RemoveModule PyState_RemoveModule
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/* #### Code section: module_declarations ### */
/* CythonABIVersion.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
    #if CYTHON_METH_FASTCALL
        #define __PYX_FASTCALL_ABI_SUFFIX  "_fastcall"
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        #define __PYX_FASTCALL_ABI_SUFFIX
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#ifndef __PYX_MONITORING_ABI_SUFFIX
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#define CYTHON_ABI  __PYX_ABI_VERSION __PYX_LIMITED_ABI_SUFFIX __PYX_MONITORING_ABI_SUFFIX __PYX_TP_FINALIZE_ABI_SUFFIX __PYX_FREELISTS_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX
#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."

static CYTHON_INLINE struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_heterodimer_c(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, unsigned char *__pyx_v_s1, unsigned char *__pyx_v_s2, int __pyx_v_output_structure, char *__pyx_v_c_ascii_structure); /* proto*/
static struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_heterodimer(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_seq1, PyObject *__pyx_v_seq2, int __pyx_skip_dispatch, struct __pyx_opt_args_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_heterodimer *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_mispriming_check(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_putative_seq, PyObject *__pyx_v_sequences, double __pyx_v_tm_threshold, int __pyx_skip_dispatch); /* proto*/
static CYTHON_INLINE struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_homodimer_c(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, unsigned char *__pyx_v_s1, int __pyx_v_output_structure, char *__pyx_v_c_ascii_structure); /* proto*/
static struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_homodimer(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_seq1, int __pyx_skip_dispatch, struct __pyx_opt_args_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_homodimer *__pyx_optional_args); /* proto*/
static CYTHON_INLINE struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_hairpin_c(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, unsigned char *__pyx_v_s1, int __pyx_v_output_structure, char *__pyx_v_c_ascii_structure); /* proto*/
static struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_hairpin(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_seq1, int __pyx_skip_dispatch, struct __pyx_opt_args_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_hairpin *__pyx_optional_args); /* proto*/
static CYTHON_INLINE struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_end_stability_c(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, unsigned char *__pyx_v_s1, unsigned char *__pyx_v_s2); /* proto*/
static CYTHON_INLINE double __pyx_f_7primer3_14thermoanalysis_15_ThermoAnalysis_calc_tm_c(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, char *__pyx_v_s1); /* proto*/

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

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

/* Module declarations from "primer3.p3helpers" */
static PyObject *(*__pyx_f_7primer3_9p3helpers_ensure_acgt_uppercase)(PyObject *, int __pyx_skip_dispatch); /*proto*/
static PyObject *(*__pyx_f_7primer3_9p3helpers_ensure_acgt_uppercase_b)(PyObject *, int __pyx_skip_dispatch); /*proto*/

/* Module declarations from "libc.float" */

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

/* Module declarations from "primer3.thermoanalysis" */
static double __pyx_v_7primer3_14thermoanalysis_ALIGN_SCORE_UNDEF;
static double __pyx_v_7primer3_14thermoanalysis_PR_DEFAULT_PRODUCT_MAX_TM;
static double __pyx_v_7primer3_14thermoanalysis_PR_DEFAULT_PRODUCT_MIN_TM;
static double __pyx_v_7primer3_14thermoanalysis_PR_INFINITE_POSITION_PENALTY;
static double __pyx_v_7primer3_14thermoanalysis_PR_DEFAULT_INSIDE_PENALTY;
static double __pyx_v_7primer3_14thermoanalysis_PR_DEFAULT_OUTSIDE_PENALTY;
static CYTHON_INLINE PyObject *__pyx_f_7primer3_14thermoanalysis__bytes(PyObject *); /*proto*/
static int __pyx_f_7primer3_14thermoanalysis_pr_default_position_penalties(p3_global_settings const *); /*proto*/
static CYTHON_INLINE int __pyx_f_7primer3_14thermoanalysis_pdh_wrap_set_seq_args_globals(p3_global_settings *, seq_args_t *, PyObject *, char *); /*proto*/
static CYTHON_INLINE seq_lib *__pyx_f_7primer3_14thermoanalysis_pdh_create_seq_lib(PyObject *); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_7primer3_14thermoanalysis_pdh_design_output_to_dict(p3_global_settings const *, seq_args_t const *, p3retval const *); /*proto*/
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "primer3.thermoanalysis"
extern int __pyx_module_is_main_primer3__thermoanalysis;
int __pyx_module_is_main_primer3__thermoanalysis = 0;

/* Implementation of "primer3.thermoanalysis" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_OSError;
static PyObject *__pyx_builtin_round;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_print;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_super;
/* #### Code section: string_decls ### */
static const char __pyx_k_[] = "";
static const char __pyx_k_1[] = "\320\000\031\230\021\330\004\013\2101";
static const char __pyx_k_Q[] = "\200\001\330\004\n\210+\220Q";
static const char __pyx_k_x[] = "x";
static const char __pyx_k_TM[] = "_TM";
static const char __pyx_k__2[] = "\n";
static const char __pyx_k__3[] = ")";
static const char __pyx_k__4[] = ": ";
static const char __pyx_k_dg[] = ", dg=";
static const char __pyx_k_dh[] = ", dh=";
static const char __pyx_k_ds[] = ", ds=";
static const char __pyx_k_gc[] = "gc";
static const char __pyx_k_op[] = "op";
static const char __pyx_k_os[] = "os";
static const char __pyx_k_s1[] = "s1";
static const char __pyx_k_s2[] = "s2";
static const char __pyx_k_tm[] = ", tm=";
static const char __pyx_k_1_2[] = "\200\001\330\004\033\2301";
static const char __pyx_k_Any[] = "Any";
static const char __pyx_k__32[] = "../";
static const char __pyx_k__33[] = "_";
static const char __pyx_k__34[] = ".";
static const char __pyx_k__35[] = "?";
static const char __pyx_k_cls[] = "cls";
static const char __pyx_k_doc[] = "__doc__";
static const char __pyx_k_exc[] = "exc";
static const char __pyx_k_get[] = "get";
static const char __pyx_k_int[] = "int";
static const char __pyx_k_p3h[] = "p3h";
static const char __pyx_k_pop[] = "pop";
static const char __pyx_k_pts[] = "pts";
static const char __pyx_k_src[] = "src";
static const char __pyx_k_str[] = "str";
static const char __pyx_k_0_2f[] = "0.2f";
static const char __pyx_k_Dict[] = "Dict";
static const char __pyx_k_None[] = "None";
static const char __pyx_k_Rwaq[] = "\320\000 \240\001\360\014\000\005\014\320\013\035\230R\230w\240a\240q";
static const char __pyx_k_TM_2[] = "TM";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_bool[] = "bool";
static const char __pyx_k_call[] = "__call__";
static const char __pyx_k_dg_2[] = "dg";
static const char __pyx_k_dh_2[] = "dh";
static const char __pyx_k_ds_2[] = "ds";
static const char __pyx_k_file[] = "__file__";
static const char __pyx_k_func[] = "__func__";
static const char __pyx_k_join[] = "join";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_path[] = "path";
static const char __pyx_k_repr[] = "__repr__";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_seq1[] = "seq1";
static const char __pyx_k_seq2[] = "seq2";
static const char __pyx_k_spec[] = "__spec__";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_tm_2[] = "tm";
static const char __pyx_k_utf8[] = "utf8";
static const char __pyx_k_warn[] = "warn";
static const char __pyx_k_BOUND[] = "_BOUND";
static const char __pyx_k_Union[] = "Union";
static const char __pyx_k_debug[] = "debug";
static const char __pyx_k_float[] = "float";
static const char __pyx_k_isdir[] = "isdir";
static const char __pyx_k_items[] = "items";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_py_s1[] = "py_s1";
static const char __pyx_k_py_s2[] = "py_s2";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_round[] = "round";
static const char __pyx_k_split[] = "split";
static const char __pyx_k_strip[] = "strip";
static const char __pyx_k_super[] = "super";
static const char __pyx_k_utf_8[] = "utf-8";
static const char __pyx_k_COORDS[] = "COORDS";
static const char __pyx_k_PRIMER[] = "PRIMER_";
static const char __pyx_k_atexit[] = "atexit";
static const char __pyx_k_calcTm[] = "calcTm";
static const char __pyx_k_enable[] = "enable";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_kwargs[] = "kwargs";
static const char __pyx_k_mh_lib[] = "mh_lib";
static const char __pyx_k_module[] = "__module__";
static const char __pyx_k_mp_lib[] = "mp_lib";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_return[] = "return";
static const char __pyx_k_retval[] = "retval";
static const char __pyx_k_temp_c[] = "temp_c";
static const char __pyx_k_todict[] = "todict";
static const char __pyx_k_tr_obj[] = "tr_obj";
static const char __pyx_k_typing[] = "typing";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_5_Cz_as[] = "\320\000\021\220\021\330\004\013\2105\220\004\220C\220z\240\025\240a\240s\250!";
static const char __pyx_k_BOUND_2[] = "BOUND";
static const char __pyx_k_OSError[] = "OSError";
static const char __pyx_k_PENALTY[] = "_PENALTY";
static const char __pyx_k_T_OPT_A[] = "_T_OPT_A";
static const char __pyx_k_calc_tm[] = "calc_tm";
static const char __pyx_k_dirname[] = "dirname";
static const char __pyx_k_disable[] = "disable";
static const char __pyx_k_dv_conc[] = "dv_conc";
static const char __pyx_k_err_msg[] = "err_msg";
static const char __pyx_k_mv_conc[] = "mv_conc";
static const char __pyx_k_os_path[] = "os.path";
static const char __pyx_k_prepare[] = "__prepare__";
static const char __pyx_k_primer3[] = "primer3";
static const char __pyx_k_thalres[] = "thalres";
static const char __pyx_k_A_aq_a_q[] = "\200A\360\006\000%&\360\036\000\t\021\220\010\230\006\230a\230q\330\010!\240\021\340\010!\240\037\260\001\330\014\036\230a\330\014\r\330\014\r\330\014\r\340\010\017\210q";
static const char __pyx_k_A_aq_q_a[] = "\200A\360\006\000%&\360\036\000\t\021\220\010\230\006\230a\230q\330\010!\240\021\340\010\036\320\036/\250q\330\014\036\230a\330\014\r\330\014\r\330\014\r";
static const char __pyx_k_INTERNAL[] = "INTERNAL";
static const char __pyx_k_Optional[] = "Optional";
static const char __pyx_k_PROBLEMS[] = "_PROBLEMS";
static const char __pyx_k_SELF_ANY[] = "_SELF_ANY";
static const char __pyx_k_SELF_END[] = "_SELF_END";
static const char __pyx_k_SEQUENCE[] = "_SEQUENCE";
static const char __pyx_k_add_note[] = "add_note";
static const char __pyx_k_arg_name[] = "arg_name";
static const char __pyx_k_dict_obj[] = "dict_obj";
static const char __pyx_k_dna_conc[] = "dna_conc";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_max_loop[] = "max_loop";
static const char __pyx_k_owczarzy[] = "owczarzy";
static const char __pyx_k_qualname[] = "__qualname__";
static const char __pyx_k_realpath[] = "realpath";
static const char __pyx_k_register[] = "register";
static const char __pyx_k_seq_args[] = "seq_args";
static const char __pyx_k_set_name[] = "__set_name__";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_warnings[] = "warnings";
static const char __pyx_k_COMPL_ANY[] = "_COMPL_ANY";
static const char __pyx_k_COMPL_END[] = "_COMPL_END";
static const char __pyx_k_PENALTY_2[] = "PENALTY";
static const char __pyx_k_Singleton[] = "Singleton";
static const char __pyx_k_T_OPT_A_2[] = "T_OPT_A";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_arg_value[] = "arg_value";
static const char __pyx_k_breslauer[] = "breslauer";
static const char __pyx_k_check_exc[] = "check_exc";
static const char __pyx_k_dmso_conc[] = "dmso_conc";
static const char __pyx_k_dmso_fact[] = "dmso_fact";
static const char __pyx_k_dntp_conc[] = "dntp_conc";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_instances[] = "_instances";
static const char __pyx_k_isenabled[] = "isenabled";
static const char __pyx_k_local_dir[] = "local_dir";
static const char __pyx_k_metaclass[] = "__metaclass__";
static const char __pyx_k_not_found[] = " not found";
static const char __pyx_k_p3helpers[] = "p3helpers";
static const char __pyx_k_precision[] = "precision";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_sequences[] = "sequences";
static const char __pyx_k_temp_only[] = "temp_only";
static const char __pyx_k_tm_method[] = "tm_method";
static const char __pyx_k_GC_PERCENT[] = "_GC_PERCENT";
static const char __pyx_k_HAIRPIN_TH[] = "_HAIRPIN_TH";
static const char __pyx_k_PROBLEMS_2[] = "PROBLEMS";
static const char __pyx_k_PRODUCT_TM[] = "_PRODUCT_TM";
static const char __pyx_k_SELF_ANY_2[] = "SELF_ANY";
static const char __pyx_k_SEQUENCE_2[] = "SEQUENCE";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_libprimer3[] = "libprimer3";
static const char __pyx_k_mishyb_lib[] = "mishyb_lib";
static const char __pyx_k_pywarnings[] = "pywarnings";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_run_design[] = "run_design";
static const char __pyx_k_santalucia[] = "santalucia";
static const char __pyx_k_A_q_2_A_t_6[] = "\200A\340\016\017\330\010\032\230!\330\t\n\360\032\000\t\023\220%\220q\320\0302\260\"\260A\330\010\017\210t\220?\240!\2406\250\021";
static const char __pyx_k_A_q_2_A_t_q[] = "\200A\340\016\017\330\010\032\230!\330\t\n\360\032\000\t\023\220%\220q\320\0302\260\"\260A\330\010\017\210t\220=\240\001\240\026\240q";
static const char __pyx_k_COMPL_ANY_2[] = "COMPL_ANY";
static const char __pyx_k_COMPL_END_2[] = "COMPL_END";
static const char __pyx_k_PRIMER_LEFT[] = "PRIMER_LEFT";
static const char __pyx_k_PRIMER_PAIR[] = "PRIMER_PAIR";
static const char __pyx_k_SELF_ANY_TH[] = "_SELF_ANY_TH";
static const char __pyx_k_SELF_END_TH[] = "_SELF_END_TH";
static const char __pyx_k_Str_Bytes_T[] = "Str_Bytes_T";
static const char __pyx_k_argdefaults[] = "argdefaults";
static const char __pyx_k_calcHairpin[] = "calcHairpin";
static const char __pyx_k_global_args[] = "global_args";
static const char __pyx_k_mro_entries[] = "__mro_entries__";
static const char __pyx_k_p3_cfg_path[] = "p3_cfg_path";
static const char __pyx_k_schildkraut[] = "schildkraut";
static const char __pyx_k_A_aq_aq_5Q_q[] = "\200A\360\010\000\n\013\360\036\000\t\021\220\010\230\006\230a\230q\330\010!\240\021\330\010\020\220\010\230\006\230a\230q\330\010!\240\021\340\010 \320 5\260Q\330\020\"\240!\330\020\021\330\020\021\340\010\017\210q";
static const char __pyx_k_A_q_2_A_t81A[] = "\200A\340\016\017\330\t\n\360\034\000\t\023\220%\220q\320\0302\260\"\260A\330\010\017\210t\2208\2301\230A";
static const char __pyx_k_COMPL_ANY_TH[] = "_COMPL_ANY_TH";
static const char __pyx_k_COMPL_END_TH[] = "_COMPL_END_TH";
static const char __pyx_k_Dict_str_Any[] = "Dict[str, Any]";
static const char __pyx_k_Dict_str_int[] = "Dict[str, int]";
static const char __pyx_k_GC_PERCENT_2[] = "GC_PERCENT";
static const char __pyx_k_HAIRPIN_TH_2[] = "HAIRPIN_TH";
static const char __pyx_k_NUM_RETURNED[] = "_NUM_RETURNED";
static const char __pyx_k_PRIMER_RIGHT[] = "PRIMER_RIGHT";
static const char __pyx_k_PRODUCT_SIZE[] = "_PRODUCT_SIZE";
static const char __pyx_k_PRODUCT_TM_2[] = "PRODUCT_TM";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_ThermoResult[] = "ThermoResult";
static const char __pyx_k_calc_hairpin[] = "calc_hairpin";
static const char __pyx_k_initializing[] = "_initializing";
static const char __pyx_k_is_coroutine[] = "_is_coroutine";
static const char __pyx_k_misprime_lib[] = "misprime_lib";
static const char __pyx_k_putative_seq[] = "putative_seq";
static const char __pyx_k_results_dict[] = "results_dict";
static const char __pyx_k_stringsource[] = "<stringsource>";
static const char __pyx_k_tm_threshold[] = "tm_threshold";
static const char __pyx_k_A_q_2_A_t_AV6[] = "\200A\340\016\017\330\016\017\330\010\032\230!\330\t\n\360\036\000\t\023\220%\220q\320\0302\260\"\260A\330\010\017\210t\320\023$\240A\240V\2506\260\021";
static const char __pyx_k_A_q_2_A_t_avQ[] = "\200A\340\016\017\330\016\017\330\t\n\360\034\000\t\023\220%\220q\320\0302\260\"\260A\330\010\017\210t\320\023&\240a\240v\250Q";
static const char __pyx_k_END_STABILITY[] = "_END_STABILITY";
static const char __pyx_k_HAIRPIN_STUCT[] = "_HAIRPIN_STUCT";
static const char __pyx_k_PRIMER_LEFT_2[] = "PRIMER_LEFT_";
static const char __pyx_k_PRIMER_PAIR_2[] = "PRIMER_PAIR_";
static const char __pyx_k_SELF_ANY_TH_2[] = "SELF_ANY_TH";
static const char __pyx_k_SELF_END_TH_2[] = "SELF_END_TH";
static const char __pyx_k_Union_str_int[] = "Union[str, int]";
static const char __pyx_k_calcHomodimer[] = "calcHomodimer";
static const char __pyx_k_class_getitem[] = "__class_getitem__";
static const char __pyx_k_max_nn_length[] = "max_nn_length";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_1_3at81_at81_1[] = "\320\004\033\2301\360\022\000\t\014\2103\210a\210t\2208\2301\330\014\022\220,\230a\230t\2408\2501\340\014\023\2201";
static const char __pyx_k_A_aq_aq_31_a_q[] = "\200A\360\010\000%&\360\"\000\t\021\220\010\230\006\230a\230q\330\010!\240\021\330\010\020\220\010\230\006\230a\230q\330\010!\240\021\340\010 \320 3\2601\330\014\036\230a\330\014\r\330\014\r\330\014\r\330\014\r\340\010\017\210q";
static const char __pyx_k_COMPL_ANY_TH_2[] = "COMPL_ANY_TH";
static const char __pyx_k_COMPL_END_TH_2[] = "COMPL_END_TH";
static const char __pyx_k_PRIMER_RIGHT_2[] = "PRIMER_RIGHT_";
static const char __pyx_k_PRIMER_WARNING[] = "PRIMER_WARNING";
static const char __pyx_k_PRODUCT_SIZE_2[] = "PRODUCT_SIZE";
static const char __pyx_k_SELF_ANY_STUCT[] = "_SELF_ANY_STUCT";
static const char __pyx_k_SELF_END_STUCT[] = "_SELF_END_STUCT";
static const char __pyx_k_ThermoAnalysis[] = "_ThermoAnalysis";
static const char __pyx_k_calc_homodimer[] = "calc_homodimer";
static const char __pyx_k_formamide_conc[] = "formamide_conc";
static const char __pyx_k_libprimer3_dir[] = "libprimer3_dir";
static const char __pyx_k_primer3_config[] = "primer3_config";
static const char __pyx_k_COMPL_ANY_STUCT[] = "_COMPL_ANY_STUCT";
static const char __pyx_k_COMPL_END_STUCT[] = "_COMPL_END_STUCT";
static const char __pyx_k_DEFAULT_P3_ARGS[] = "DEFAULT_P3_ARGS";
static const char __pyx_k_END_STABILITY_2[] = "END_STABILITY";
static const char __pyx_k_HAIRPIN_STUCT_2[] = "HAIRPIN_STUCT";
static const char __pyx_k_MIN_SEQ_QUALITY[] = "_MIN_SEQ_QUALITY";
static const char __pyx_k_PRIMER_INTERNAL[] = "PRIMER_INTERNAL";
static const char __pyx_k_Union_float_int[] = "Union[float, int]";
static const char __pyx_k_argument_not_in[] = " argument not in ";
static const char __pyx_k_ascii_structure[] = "ascii_structure";
static const char __pyx_k_calcHeterodimer[] = "calcHeterodimer";
static const char __pyx_k_get_dunder_file[] = "get_dunder_file";
static const char __pyx_k_kmer_lists_path[] = "kmer_lists_path";
static const char __pyx_k_set_thermo_args[] = "set_thermo_args";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_structure_found[] = "structure_found";
static const char __pyx_k_tm_methods_dict[] = "tm_methods_dict";
static const char __pyx_k_POSITION_PENALTY[] = "_POSITION_PENALTY";
static const char __pyx_k_SELF_ANY_STUCT_2[] = "SELF_ANY_STUCT";
static const char __pyx_k_SELF_END_STUCT_2[] = "SELF_END_STUCT";
static const char __pyx_k_Singleton___call[] = "Singleton.__call__";
static const char __pyx_k_ThermoAnalysis_2[] = "ThermoAnalysis";
static const char __pyx_k_annealing_temp_c[] = "annealing_temp_c";
static const char __pyx_k_arg_input_buffer[] = "arg_input_buffer";
static const char __pyx_k_calcEndStability[] = "calcEndStability";
static const char __pyx_k_calc_heterodimer[] = "calc_heterodimer";
static const char __pyx_k_global_arg_bytes[] = "global_arg_bytes";
static const char __pyx_k_mispriming_check[] = "mispriming_check";
static const char __pyx_k_output_structure[] = "output_structure";
static const char __pyx_k_A_4wc_7_q_4y_s_Qa[] = "\200A\330\010\013\2104\210w\220c\230\021\330\014\017\210{\230!\2307\240%\240q\250\013\2604\260y\300\001\330\021\022\330\022\023\340\010\017\210s\220+\230Q\230a";
static const char __pyx_k_COMPL_ANY_STUCT_2[] = "COMPL_ANY_STUCT";
static const char __pyx_k_COMPL_END_STUCT_2[] = "COMPL_END_STUCT";
static const char __pyx_k_D_D_D_D_D_D_T_D_d[] = "\320\004\030\230\001\360\014\000\t\n\330\014\034\230D\240\001\330\014\034\230D\240\001\330\014\034\230D\240\001\330\014\034\230D\240\001\330\014\034\230D\240\001\330\014\034\230D\240\001\360\006\000\r\036\230T\240\021\330\014\034\230D\240\001\330\014&\240d\250!";
static const char __pyx_k_MIN_SEQ_QUALITY_2[] = "MIN_SEQ_QUALITY";
static const char __pyx_k_format_boulder_io[] = "format_boulder_io";
static const char __pyx_k_p3_cfg_path_bytes[] = "p3_cfg_path_bytes";
static const char __pyx_k_primer3_p3helpers[] = "primer3.p3helpers";
static const char __pyx_k_A_QfA_AQ_aq_aq_j_6[] = "\200A\360\006\000\n\013\360\032\000\t\014\210:\220Q\220f\230A\330\014\026\320\026,\250A\250Q\340\014\026\320\026.\250a\250q\360\006\000\t\021\220\010\230\006\230a\230q\330\010\030\230\001\340\010\036\230j\250\001\320);\2706\300\021";
static const char __pyx_k_DEFAULT_WORD_LEN_2[] = "_DEFAULT_WORD_LEN_2";
static const char __pyx_k_LIBRARY_MISPRIMING[] = "_LIBRARY_MISPRIMING";
static const char __pyx_k_POSITION_PENALTY_2[] = "POSITION_PENALTY";
static const char __pyx_k_Primer3PyArguments[] = "Primer3PyArguments";
static const char __pyx_k_asyncio_coroutines[] = "asyncio.coroutines";
static const char __pyx_k_calc_end_stability[] = "calc_end_stability";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_load_thermo_params[] = "load_thermo_params";
static const char __pyx_k_sequence_args_data[] = "sequence_args_data";
static const char __pyx_k_thal_alignment_any[] = "thal_alignment_any";
static const char __pyx_k_PRIMER_LEFT_EXPLAIN[] = "PRIMER_LEFT_EXPLAIN";
static const char __pyx_k_PRIMER_PAIR_EXPLAIN[] = "PRIMER_PAIR_EXPLAIN";
static const char __pyx_k_TEMPLATE_MISPRIMING[] = "_TEMPLATE_MISPRIMING";
static const char __pyx_k_ThermoResult_todict[] = "ThermoResult.todict";
static const char __pyx_k_p3_cfg_path_bytes_c[] = "p3_cfg_path_bytes_c";
static const char __pyx_k_thal_alignment_end1[] = "thal_alignment_end1";
static const char __pyx_k_thal_alignment_end2[] = "thal_alignment_end2";
static const char __pyx_k_LIBRARY_MISPRIMING_2[] = "LIBRARY_MISPRIMING";
static const char __pyx_k_PRIMER_RIGHT_EXPLAIN[] = "PRIMER_RIGHT_EXPLAIN";
static const char __pyx_k_global_settings_data[] = "global_settings_data";
static const char __pyx_k_DID_LOAD_THERM_PARAMS[] = "_DID_LOAD_THERM_PARAMS";
static const char __pyx_k_Optional_Dict_str_Any[] = "Optional[Dict[str, Any]]";
static const char __pyx_k_TEMPLATE_MISPRIMING_2[] = "TEMPLATE_MISPRIMING";
static const char __pyx_k_ThermoAnalysis_calcTm[] = "ThermoAnalysis.calcTm";
static const char __pyx_k_ThermoAnalysis_todict[] = "_ThermoAnalysis.todict";
static const char __pyx_k_Issue_choosing_primers[] = "Issue choosing primers";
static const char __pyx_k_TEMPLATE_MISPRIMING_TH[] = "_TEMPLATE_MISPRIMING_TH";
static const char __pyx_k_ThermoAnalysis_calc_tm[] = "_ThermoAnalysis.calc_tm";
static const char __pyx_k_ThermoResult_check_exc[] = "ThermoResult.check_exc";
static const char __pyx_k_get_libprimer3_version[] = "get_libprimer3_version";
static const char __pyx_k_primer3_thermoanalysis[] = "primer3.thermoanalysis";
static const char __pyx_k_salt_correction_method[] = "salt_correction_method";
static const char __pyx_k_thal_alignment_hairpin[] = "thal_alignment_hairpin";
static const char __pyx_k_PRIMER_INTERNAL_EXPLAIN[] = "PRIMER_INTERNAL_EXPLAIN";
static const char __pyx_k_salt_corrections_method[] = "salt_corrections_method";
static const char __pyx_k_thal_structures_cleanup[] = "_thal_structures_cleanup";
static const char __pyx_k_z_Q_q_1Kq_S_81A_j_d_1_l[] = "\200\001\330\022\023\330\023\024\330\022\023\330\005\006\360\"\000\005\010\200z\220\021\220+\230Q\330\010\017\210q\330\t\023\2201\220K\230q\330\010\013\210:\220S\230\001\330\014\023\2208\2301\230A\330\010\016\210j\230\001\330\014\016\210d\220,\320\036:\270!\340\004\n\210)\2201\330\010\n\210$\210l\230!";
static const char __pyx_k_PRIMER_LEFT_NUM_RETURNED[] = "PRIMER_LEFT_NUM_RETURNED";
static const char __pyx_k_PRIMER_PAIR_NUM_RETURNED[] = "PRIMER_PAIR_NUM_RETURNED";
static const char __pyx_k_PRODUCT_TM_OLIGO_TM_DIFF[] = "_PRODUCT_TM_OLIGO_TM_DIFF";
static const char __pyx_k_TEMPLATE_MISPRIMING_TH_2[] = "TEMPLATE_MISPRIMING_TH";
static const char __pyx_k_conditional_get_enum_int[] = "_conditional_get_enum_int";
static const char __pyx_k_set_globals_and_seq_args[] = "_set_globals_and_seq_args";
static const char __pyx_k_thermodynamic_parameters[] = "thermodynamic_parameters";
static const char __pyx_k_Expected_str_or_bytes_got[] = "Expected str or bytes, got ";
static const char __pyx_k_PRIMER_MASK_KMERLIST_PATH[] = "PRIMER_MASK_KMERLIST_PATH";
static const char __pyx_k_PRIMER_RIGHT_NUM_RETURNED[] = "PRIMER_RIGHT_NUM_RETURNED";
static const char __pyx_k_Primer3_ran_out_of_memory[] = "Primer3 ran out of memory.";
static const char __pyx_k_SNAKE_CASE_DEPRECATED_MSG[] = "SNAKE_CASE_DEPRECATED_MSG";
static const char __pyx_k_TEMPLATE_MISPRIMING_STUCT[] = "_TEMPLATE_MISPRIMING_STUCT";
static const char __pyx_k_ThermoAnalysis_run_design[] = "_ThermoAnalysis.run_design";
static const char __pyx_k_t1_t1_1D_Q_1D_Q_1D_Q_1D_Q[] = "\320\004\031\230\031\240!\360\022\000\t\n\330\014\037\230t\2401\330\014\037\230t\2401\330\014\022\220)\2301\230D\240\005\240Q\330\014\022\220)\2301\230D\240\005\240Q\330\014\022\220)\2301\230D\240\005\240Q\330\014\022\220)\2301\230D\240\005\240Q";
static const char __pyx_k_thal_alignment_types_dict[] = "thal_alignment_types_dict";
static const char __pyx_k_PRIMER_STOP_CODON_POSITION[] = "PRIMER_STOP_CODON_POSITION";
static const char __pyx_k_PRODUCT_TM_OLIGO_TM_DIFF_2[] = "PRODUCT_TM_OLIGO_TM_DIFF";
static const char __pyx_k_ThermoAnalysis_calcHairpin[] = "ThermoAnalysis.calcHairpin";
static const char __pyx_k_primer3_thermoanalysis_pyx[] = "primer3/thermoanalysis.pyx";
static const char __pyx_k_TEMPLATE_MISPRIMING_STUCT_2[] = "TEMPLATE_MISPRIMING_STUCT";
static const char __pyx_k_ThermoAnalysis_calc_hairpin[] = "_ThermoAnalysis.calc_hairpin";
static const char __pyx_k_ThermoAnalysis_calcHomodimer[] = "ThermoAnalysis.calcHomodimer";
static const char __pyx_k_ThermoResult___reduce_cython[] = "ThermoResult.__reduce_cython__";
static const char __pyx_k_ThermoResult_structure_found[] = "ThermoResult(structure_found=";
static const char __pyx_k_salt_correction_methods_dict[] = "salt_correction_methods_dict";
static const char __pyx_k_ThermoAnalysis_calc_homodimer[] = "_ThermoAnalysis.calc_homodimer";
static const char __pyx_k_PRIMER_MASK_KMERLIST_PATH_path[] = "PRIMER_MASK_KMERLIST_PATH: path ";
static const char __pyx_k_ThermoAnalysis___reduce_cython[] = "_ThermoAnalysis.__reduce_cython__";
static const char __pyx_k_ThermoAnalysis_calcHeterodimer[] = "ThermoAnalysis.calcHeterodimer";
static const char __pyx_k_ThermoAnalysis_set_thermo_args[] = "_ThermoAnalysis.set_thermo_args";
static const char __pyx_k_ThermoResult___setstate_cython[] = "ThermoResult.__setstate_cython__";
static const char __pyx_k_A2_a_1_Cwiq_HF_1_Q_Ba_1_Ba_q_4A[] = "\200A\3602\000\r!\240\001\340\014&\240a\360\006\000\r1\260\001\360\006\000\r\033\230(\240&\250\001\250\021\330\014 \240\001\340\010\014\210C\210w\220i\230q\240\001\330\014\024\220H\230F\240!\2401\330\014\021\220\021\330\014*\320*=\270Q\330\020\"\240!\330\020\021\330\020\021\330\020\021\330\020\021\330\r\016\330\014\017\210}\230B\230a\330\020(\250\001\330\020#\2401\330\014\017\210}\230B\230a\330\020\037\230q\330\020\021\330\010\017\210~\320\0354\260A";
static const char __pyx_k_A_5Q_31_a_a_Q_7q_Q_4_3a_A_d_a_1[] = "\200A\340\031\032\330\026\027\330\0325\260Q\330\0303\2601\330\t\n\360*\000\r\037\230a\330\014\036\230a\330\014%\240Q\330\0147\260q\330\014-\250Q\360\006\000\t\023\220!\340\010\013\2104\320\017#\2403\240a\340\014\034\230A\330\020\036\230d\240!\340\014\020\320\020&\240a\340\010\013\2101\330\014\020\320\020&\240h\250n\270A\340\014\017\210t\320\023'\240s\250!\330\020\026\220g\230Q\230a\340\014\027\220w\230a\230q\340\010\033\230;\320&8\270\001\270\021\330\010\033\2301\330\010\013\320\013\034\230C\230q\330\014\022\220*\230A\230Q\340\010\013\2104\320\017%\240S\250\001\340\014&\240a\330\020&\240d\250!\340\014\020\320\020(\250\001\360\006\000\t\r\320\014$\240H\320,E\300Q\330\010\013\2104\320\017%\240S\250\001\330\014\022\220'\230\021\230!\340\010\032\230+\240T\250\021\320*G\300q\330\010\013\2101\330\014\030\230\002\230(\240!\2402\240Y\250a\250\270a\330\014\035\230R\230u\240A\240[\260\007\260q\330\014\017\210t\2202\220V\2301\230A\330\020\023\220?\240!\2402\240S\250\003\2501\330\024&\240b\250\005\250Q\330\030\031\330\030'\240q\250\003\2501\360\006\000\025'\240b\250\005\250Q\330\030\031\330\030\031\340\014\017\210t\2202\220V\2301\230A\330\020\026\220j\240\001\330\024\026\320\026:\270!\360\010\000\t\n\330\014)\250\021\330\020&\240d\250!\330\020\036\230d\240!\330\020\021\330\020\021\340\017\020\330\014\021\220\021\330\020\022\320\022A\300\021\340\014&\240a\330\020&\240d\250!\340\014\020\320\020(\250\001\330\014\017\210q\330\020 \240\001\330\024\"\240$\240a\340\020\024\320\024*\250!\330\014\r\360\006\000\t\014\2104\320\017%\240S\250\005\250S\260\004\3204H\310\003\3101\330\014\022\220*\230A\330\020\021\360\n\000\t\023\220!\330\010\t\330\014#\320#9\270\024\270Q\340\014\017\210}\230C\230q\330\020\037\230q\340\014\025\320\025'\240q\250\001\340\014 \240\001\240\022\2407\250.\270\001\340\014\017\210{\230#\230Q\330\020\035\230Q\340\014\025\320\025'\240q\250\001\340\014 \240\001\240\022\2407\250.\270\001\340\010\020\220\t\230\036\240q\360\006\000\r'\240a\330\020&\240d\250!\340\014\020""\320\020(\250\001\330\014\034\230A\330\020\036\230d\240!\340\014\020\320\020&\240a\330\014\022\220'\230\021\230.\250\001";
static const char __pyx_k_A_a_a_O1_oQ_q_O1__A_KuAQ_KuAQ_M[] = "\200A\340\025)\250\037\270\001\330\025)\250\037\270\001\330\027+\250?\270!\330\026*\250/\270\021\330\027\037\230\250a\330\027\037\230\250a\330\034$\240O\2601\330\036&\240o\260Q\330\024(\250\017\260q\330\033!\240\037\260\001\330\026\034\230O\2501\330\027\035\230_\250A\330%+\250?\270!\360.\000\t\r\210K\220u\230A\230Q\330\010\014\210K\220u\230A\230Q\330\010\014\210M\230\025\230a\230q\330\010\014\210L\230\005\230Q\230a\340\010\014\210M\230\025\230a\230q\330\010\014\210M\230\025\230a\230q\330\010\014\320\014\036\230e\2401\240A\330\010\014\320\014 \240\005\240Q\240a\340\010\014\210J\220e\2301\230A\330\010\014\210L\230\003\2301\230A\330\010\014\210M\230\021\330\010\014\320\014&\240a\340\010\014\320\014\035\230S\240\001\240\021";
static const char __pyx_k_Cannot_add_seq_with_non_Unicode[] = "Cannot add seq with non-Unicode/Bytes type to seq_lib";
static const char __pyx_k_Subclass_of_class__ThermoAnalys[] = "\n    Subclass of :class:`_ThermoAnalysis` to enable singleton behavior\n\n    As of v1.2.0 no longer a :class:`Singleton` as thread-safety exists\n    ";
static const char __pyx_k_ThermoAnalysis___setstate_cytho[] = "_ThermoAnalysis.__setstate_cython__";
static const char __pyx_k_ThermoAnalysis__set_globals_and[] = "_ThermoAnalysis._set_globals_and_seq_args";
static const char __pyx_k_ThermoAnalysis_calcEndStability[] = "ThermoAnalysis.calcEndStability";
static const char __pyx_k_ThermoAnalysis_calc_end_stabili[] = "_ThermoAnalysis.calc_end_stability";
static const char __pyx_k_ThermoAnalysis_calc_heterodimer[] = "_ThermoAnalysis.calc_heterodimer";
static const char __pyx_k_ThermoAnalysis_mispriming_check[] = "_ThermoAnalysis.mispriming_check";
static const char __pyx_k_argument_must_be_a_string_or_in[] = " argument must be a string or integer";
static const char __pyx_k_c_E_2Yaq_7_1_AQa_a_I_1A_q_A_q_A[] = "\200\001\330\004\005\360\016\000\005\010\320\007\036\230c\240\021\330\010\t\340\004\022\220\"\220E\230\021\330\010\n\210(\220!\2202\220Y\230a\230q\330\010\t\330\010\t\330\010\t\330\010\t\360\010\000\005\031\230\013\2407\250!\2501\330\004\032\230!\340\004\034\230A\230Q\230a\330\004\030\230\001\320\031.\250a\320/I\310\021\310!\340\004\005\330\010\013\320\013#\2401\240A\320%?\270q\300\t\310\023\310A\330\014\022\220'\230\021\330\020\022\320\022?\270q\360\006\000\t\035\230A\230Q\230a\330\004\035\230Q";
static const char __pyx_k_primer3_thermoanalysis_Contains[] = "\nprimer3.thermoanalysis\n~~~~~~~~~~~~~~~~~~~~~~\n\nContains Cython functions and classes that enable repeated thermodynamic\ncalculations using common calculation parameters.\n\nThe parameters included in this module map to the `ntthal` binary\n(`thal.c/h` source) in the `primer3` library and ARE NOT covered in the\nprimer design documentation provided with `primer3`. Please see class and\nmethod docstrings in `primer3-py` for parameter explanations.\n\nCalculations are performed under the following paradigm:\n\n1) Instantiate :class:`ThermoAnalysis` object with appropriate parameters\n\n.. code-block:: python\n\n    oligo_calc = ThermoAnalysis(mv_conc=50, dv_conc=0.2)\n\n2) Use the object instance for subsequent calculations\n\n.. code-block:: python\n\n    for primer in primer_list:\n        print(oligo_calc.calc_tm(primer))  # Print the melting temp\n\n\n3) (optional) You can update an individual parameter at any time\n\n.. code-block:: python\n\n    oligo_calc.mv_conc = 80  # Increase the monovalent ion conc to 80 mM\n\n";
static const char __pyx_k_A_5Q_31_q_Q_a_Q_q_q_a_a_7_Q_AQ_4[] = "\200A\340\031\032\330\026\027\330\0325\260Q\330\0303\2601\330\t\n\360*\000\r \230q\340\010\035\230Q\340\010\014\320\014&\240a\330\014\025\220Q\330\014\030\230\001\330\014\031\230\021\330\014\027\220q\360\006\000\t\022\220\036\230q\330\014\"\240$\240a\330\014\032\230$\230a\360\006\000\t\014\2107\220#\220Q\330\014\022\220*\230A\230Q\330\010\t\330\014\033\320\0334\260A\330\020&\240d\250!\330\020\036\230d\240!\330\020\021\360\006\000\r)\250\001\330\020&\240d\250!\330\020\021\340\014\034\230A\230Q\330\014\025\220Q\330\014(\250\001\330\010\017\210q";
static const char __pyx_k_Cannot_add_seq_name_with_non_Uni[] = "Cannot add seq name with non-Unicode/Bytes type to seq_lib";
static const char __pyx_k_Could_not_allocate_memory_for_p3[] = "Could not allocate memory for p3 globals";
static const char __pyx_k_Could_not_allocate_memory_for_se[] = "Could not allocate memory for seq_arg";
static const char __pyx_k_Could_not_load_thermodynamic_con[] = "Could not load thermodynamic config file ";
static const char __pyx_k_Error_setting_Primer3_global_arg[] = "Error setting Primer3 global args and sequence args\nseq_args {seq_args}\n\nglobal_args {global_args}\n\n";
static const char __pyx_k_Function_deprecated_please_use_s[] = "Function deprecated please use \"%s\" instead";
static const char __pyx_k_Issue_setting_globals_bytes_prov[] = "Issue setting globals. bytes provided: \n\t";
static const char __pyx_k_Note_that_Cython_is_deliberately[] = "Note that Cython is deliberately stricter than PEP-484 and rejects subclasses of builtin types. If you need to pass subclasses then set the 'annotation_typing' directive to False.";
static const char __pyx_k_global_settings_data_0_pick_inte[] = "global_settings_data[0].pick_internal_oligo must be set";
static const char __pyx_k_masking_template_chosen_but_path[] = "masking template chosen, but path to PRIMER_MASK_KMERLIST_PATH not specified";
static const char __pyx_k_max_loop_must_be_less_than_31_re[] = "max_loop must be less than 31, received ";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_Could_not_allocate_memory_for_se_2[] = "Could not allocate memory for seq_lib";
/* #### Code section: decls ### */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_get_dunder_file(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_2load_thermo_params(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_4_thal_structures_cleanup(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_6precision(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_x, PyObject *__pyx_v_pts); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_12ThermoResult___cinit__(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_12ThermoResult_15structure_found___get__(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_12ThermoResult_2tm___get__(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_12ThermoResult_2ds___get__(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_12ThermoResult_2dh___get__(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_12ThermoResult_2dg___get__(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_12ThermoResult_21ascii_structure_lines___get__(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self); /* proto */
static struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_pf_7primer3_14thermoanalysis_12ThermoResult_2check_exc(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_12ThermoResult_4__repr__(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_12ThermoResult_6__str__(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_12ThermoResult_8todict(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self, PyObject *__pyx_v_pts); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_12ThermoResult_15ascii_structure___get__(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_12ThermoResult_15ascii_structure_2__set__(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_12ThermoResult_15ascii_structure_4__del__(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_12ThermoResult_10__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_12ThermoResult_12__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_8_conditional_get_enum_int(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_arg_name, PyObject *__pyx_v_arg_value, PyObject *__pyx_v_dict_obj); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis___cinit__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, double __pyx_v_mv_conc, double __pyx_v_dv_conc, double __pyx_v_dntp_conc, double __pyx_v_dna_conc, double __pyx_v_dmso_conc, double __pyx_v_dmso_fact, double __pyx_v_formamide_conc, double __pyx_v_annealing_temp_c, double __pyx_v_temp_c, PyObject *__pyx_v_max_loop, PyObject *__pyx_v_temp_only, PyObject *__pyx_v_debug, PyObject *__pyx_v_max_nn_length, PyObject *__pyx_v_tm_method, PyObject *__pyx_v_salt_correction_method); /* proto */
static void __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_2__dealloc__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_7mv_conc___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_7mv_conc_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, double __pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_7dv_conc___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_7dv_conc_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, double __pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_9dntp_conc___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_9dntp_conc_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, double __pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_8dna_conc___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_8dna_conc_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, double __pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_6temp_c___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_6temp_c_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_8max_loop___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_8max_loop_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_9tm_method___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_9tm_method_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_22salt_correction_method___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_22salt_correction_method_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_4set_thermo_args(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_mv_conc, PyObject *__pyx_v_dv_conc, PyObject *__pyx_v_dntp_conc, PyObject *__pyx_v_dna_conc, double __pyx_v_dmso_conc, double __pyx_v_dmso_fact, double __pyx_v_formamide_conc, double __pyx_v_annealing_temp_c, PyObject *__pyx_v_temp_c, PyObject *__pyx_v_max_nn_length, PyObject *__pyx_v_max_loop, PyObject *__pyx_v_tm_method, PyObject *__pyx_v_salt_corrections_method, CYTHON_UNUSED PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_6calc_heterodimer(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_seq1, PyObject *__pyx_v_seq2, int __pyx_v_output_structure); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_8mispriming_check(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_putative_seq, PyObject *__pyx_v_sequences, double __pyx_v_tm_threshold); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_10calc_homodimer(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_seq1, int __pyx_v_output_structure); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_12calc_hairpin(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_seq1, int __pyx_v_output_structure); /* proto */
static struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_14calc_end_stability(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_seq1, PyObject *__pyx_v_seq2); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_16calc_tm(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_seq1); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_18todict(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_20_set_globals_and_seq_args(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_global_args, PyObject *__pyx_v_seq_args, PyObject *__pyx_v_misprime_lib, PyObject *__pyx_v_mishyb_lib); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_22run_design(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_global_args, PyObject *__pyx_v_seq_args, PyObject *__pyx_v_misprime_lib, PyObject *__pyx_v_mishyb_lib); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_13max_nn_length___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_13max_nn_length_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_10_tm_method___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_10_tm_method_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_20_tm_methods_int_dict___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_20_tm_methods_int_dict_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_20_tm_methods_int_dict_4__del__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_23_salt_correction_method___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_23_salt_correction_method_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_33_salt_correction_methods_int_dict___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_33_salt_correction_methods_int_dict_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_33_salt_correction_methods_int_dict_4__del__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_9dmso_conc___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_9dmso_conc_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_9dmso_fact___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_9dmso_fact_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_14formamide_conc___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_14formamide_conc_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_16annealing_temp_c___get__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static int __pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_16annealing_temp_c_2__set__(struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_24__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_15_ThermoAnalysis_26__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_9Singleton___call__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_cls, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs); /* proto */
static struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_pf_7primer3_14thermoanalysis_14ThermoAnalysis_calcHeterodimer(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_seq1, PyObject *__pyx_v_seq2, PyObject *__pyx_v_output_structure); /* proto */
static struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_pf_7primer3_14thermoanalysis_14ThermoAnalysis_2calcHomodimer(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_seq1, PyObject *__pyx_v_output_structure); /* proto */
static struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_pf_7primer3_14thermoanalysis_14ThermoAnalysis_4calcHairpin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_seq1, PyObject *__pyx_v_output_structure); /* proto */
static struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult *__pyx_pf_7primer3_14thermoanalysis_14ThermoAnalysis_6calcEndStability(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_seq1, PyObject *__pyx_v_seq2); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_14ThermoAnalysis_8calcTm(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_seq1); /* proto */
static PyObject *__pyx_pf_7primer3_14thermoanalysis_10get_libprimer3_version(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_tp_new_7primer3_14thermoanalysis_ThermoResult(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_7primer3_14thermoanalysis__ThermoAnalysis(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
/* #### Code section: late_includes ### */
/* #### Code section: module_state ### */
/* SmallCodeConfig */
#ifndef CYTHON_SMALL_CODE
#if defined(__clang__)
    #define CYTHON_SMALL_CODE
#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
    #define CYTHON_SMALL_CODE __attribute__((cold))
#else
    #define CYTHON_SMALL_CODE
#endif
#endif

typedef struct {
  PyObject *__pyx_d;
  PyObject *__pyx_b;
  PyObject *__pyx_cython_runtime;
  PyObject *__pyx_empty_tuple;
  PyObject *__pyx_empty_bytes;
  PyObject *__pyx_empty_unicode;
  #ifdef __Pyx_CyFunction_USED
  PyTypeObject *__pyx_CyFunctionType;
  #endif
  #ifdef __Pyx_FusedFunction_USED
  PyTypeObject *__pyx_FusedFunctionType;
  #endif
  #ifdef __Pyx_Generator_USED
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#define __pyx_n_u_SELF_ANY_TH_2 __pyx_string_tab[93]
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#define __pyx_n_u_ThermoAnalysis_calc_heterodimer __pyx_string_tab[128]
#define __pyx_n_u_ThermoAnalysis_calc_homodimer __pyx_string_tab[129]
#define __pyx_n_u_ThermoAnalysis_calc_tm __pyx_string_tab[130]
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#define __pyx_n_u_calcHeterodimer __pyx_string_tab[169]
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#define __pyx_n_u_calcTm __pyx_string_tab[171]
#define __pyx_n_u_calc_end_stability __pyx_string_tab[172]
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#define __pyx_n_u_max_nn_length __pyx_string_tab[236]
#define __pyx_n_u_metaclass __pyx_string_tab[237]
#define __pyx_n_u_mh_lib __pyx_string_tab[238]
#define __pyx_n_u_mishyb_lib __pyx_string_tab[239]
#define __pyx_n_u_misprime_lib __pyx_string_tab[240]
#define __pyx_n_u_mispriming_check __pyx_string_tab[241]
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#define __pyx_n_u_mp_lib __pyx_string_tab[243]
#define __pyx_n_u_mro_entries __pyx_string_tab[244]
#define __pyx_n_u_mv_conc __pyx_string_tab[245]
#define __pyx_n_u_name __pyx_string_tab[246]
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#define __pyx_kp_u_not_found __pyx_string_tab[248]
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 * cdef int pr_default_position_penalties(const p3_global_settings* pa):
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/* "primer3/thermoanalysis.pyx":1313
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*/
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 *         not (
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*/
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 *         (global_settings_data[0].pick_right_primer == 1) and
 *         not (
 *             global_settings_data[0].pick_anyway and             # <<<<<<<<<<<<<<
 *             sequence_args_data[0].right_input
 *         )
*/
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 *         not (
 *             global_settings_data[0].pick_anyway and
 *             sequence_args_data[0].right_input             # <<<<<<<<<<<<<<
 *         )
 *     ):
*/
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 *     if (
 *         (global_settings_data[0].pick_right_primer == 1) and
 *         not (             # <<<<<<<<<<<<<<
 *             global_settings_data[0].pick_anyway and
 *             sequence_args_data[0].right_input
*/
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  /* "primer3/thermoanalysis.pyx":1616
 *         output_dict['PRIMER_LEFT_EXPLAIN'] = explain_str_b.decode('utf8')
 * 
 *     if (             # <<<<<<<<<<<<<<
 *         (global_settings_data[0].pick_right_primer == 1) and
 *         not (
*/
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    /* "primer3/thermoanalysis.pyx":1623
 *         )
 *     ):
 *         explain_str_b = <bytes> p3_get_oligo_array_explain_string(             # <<<<<<<<<<<<<<
 *             p3_get_rv_rev(retval),
 *         )
*/
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 *             p3_get_rv_rev(retval),
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 *         output_dict['PRIMER_RIGHT_EXPLAIN'] = explain_str_b.decode('utf8')             # <<<<<<<<<<<<<<
 * 
 *     if (
*/
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    __pyx_t_5 = __Pyx_decode_bytes(__pyx_v_explain_str_b, 0, PY_SSIZE_T_MAX, NULL, NULL, PyUnicode_DecodeUTF8); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1626, __pyx_L1_error)
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    /* "primer3/thermoanalysis.pyx":1616
 *         output_dict['PRIMER_LEFT_EXPLAIN'] = explain_str_b.decode('utf8')
 * 
 *     if (             # <<<<<<<<<<<<<<
 *         (global_settings_data[0].pick_right_primer == 1) and
 *         not (
*/
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 * 
 *     if (
 *         (global_settings_data[0].pick_internal_oligo == 1) and             # <<<<<<<<<<<<<<
 *         not (
 *             global_settings_data[0].pick_anyway and
*/
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  } else {
    __pyx_t_3 = __pyx_t_16;
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  /* "primer3/thermoanalysis.pyx":1631
 *         (global_settings_data[0].pick_internal_oligo == 1) and
 *         not (
 *             global_settings_data[0].pick_anyway and             # <<<<<<<<<<<<<<
 *             sequence_args_data[0].internal_input
 *         )
*/
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 *         not (
 *             global_settings_data[0].pick_anyway and
 *             sequence_args_data[0].internal_input             # <<<<<<<<<<<<<<
 *         )
 *     ):
*/
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  /* "primer3/thermoanalysis.pyx":1630
 *     if (
 *         (global_settings_data[0].pick_internal_oligo == 1) and
 *         not (             # <<<<<<<<<<<<<<
 *             global_settings_data[0].pick_anyway and
 *             sequence_args_data[0].internal_input
*/
  __pyx_t_17 = (!__pyx_t_16);
  __pyx_t_3 = __pyx_t_17;
  __pyx_L24_bool_binop_done:;

  /* "primer3/thermoanalysis.pyx":1628
 *         output_dict['PRIMER_RIGHT_EXPLAIN'] = explain_str_b.decode('utf8')
 * 
 *     if (             # <<<<<<<<<<<<<<
 *         (global_settings_data[0].pick_internal_oligo == 1) and
 *         not (
*/
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    /* "primer3/thermoanalysis.pyx":1635
 *         )
 *     ):
 *         explain_str_b = <bytes> p3_get_oligo_array_explain_string(             # <<<<<<<<<<<<<<
 *             p3_get_rv_intl(retval),
 *         )
*/
    __pyx_t_5 = __Pyx_PyBytes_FromString(p3_get_oligo_array_explain_string(p3_get_rv_intl(__pyx_v_retval))); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1635, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_2 = __pyx_t_5;
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_XDECREF_SET(__pyx_v_explain_str_b, ((PyObject*)__pyx_t_2));
    __pyx_t_2 = 0;

    /* "primer3/thermoanalysis.pyx":1638
 *             p3_get_rv_intl(retval),
 *         )
 *         output_dict['PRIMER_INTERNAL_EXPLAIN'] = explain_str_b.decode('utf8')             # <<<<<<<<<<<<<<
 * 
 *     if (
*/
    if (unlikely(__pyx_v_explain_str_b == Py_None)) {
      PyErr_Format(PyExc_AttributeError, "'NoneType' object has no attribute '%.30s'", "decode");
      __PYX_ERR(0, 1638, __pyx_L1_error)
    }
    __pyx_t_2 = __Pyx_decode_bytes(__pyx_v_explain_str_b, 0, PY_SSIZE_T_MAX, NULL, NULL, PyUnicode_DecodeUTF8); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1638, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    if (unlikely((PyDict_SetItem(__pyx_v_output_dict, __pyx_mstate_global->__pyx_n_u_PRIMER_INTERNAL_EXPLAIN, __pyx_t_2) < 0))) __PYX_ERR(0, 1638, __pyx_L1_error)
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    /* "primer3/thermoanalysis.pyx":1628
 *         output_dict['PRIMER_RIGHT_EXPLAIN'] = explain_str_b.decode('utf8')
 * 
 *     if (             # <<<<<<<<<<<<<<
 *         (global_settings_data[0].pick_internal_oligo == 1) and
 *         not (
*/
  }

  /* "primer3/thermoanalysis.pyx":1641
 * 
 *     if (
 *         (global_settings_data[0].pick_right_primer == 1) and             # <<<<<<<<<<<<<<
 *         (global_settings_data[0].pick_left_primer == 1)
 *     ):
*/
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  } else {
    __pyx_t_3 = __pyx_t_17;
    goto __pyx_L29_bool_binop_done;
  }

  /* "primer3/thermoanalysis.pyx":1642
 *     if (
 *         (global_settings_data[0].pick_right_primer == 1) and
 *         (global_settings_data[0].pick_left_primer == 1)             # <<<<<<<<<<<<<<
 *     ):
 *         explain_str_b = <bytes> p3_get_pair_array_explain_string(
*/
  __pyx_t_17 = ((__pyx_v_global_settings_data[0]).pick_left_primer == 1);
  __pyx_t_3 = __pyx_t_17;
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  /* "primer3/thermoanalysis.pyx":1640
 *         output_dict['PRIMER_INTERNAL_EXPLAIN'] = explain_str_b.decode('utf8')
 * 
 *     if (             # <<<<<<<<<<<<<<
 *         (global_settings_data[0].pick_right_primer == 1) and
 *         (global_settings_data[0].pick_left_primer == 1)
*/
  if (__pyx_t_3) {

    /* "primer3/thermoanalysis.pyx":1644
 *         (global_settings_data[0].pick_left_primer == 1)
 *     ):
 *         explain_str_b = <bytes> p3_get_pair_array_explain_string(             # <<<<<<<<<<<<<<
 *             p3_get_rv_best_pairs(retval),
 *         )
*/
    __pyx_t_2 = __Pyx_PyBytes_FromString(p3_get_pair_array_explain_string(p3_get_rv_best_pairs(__pyx_v_retval))); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1644, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_5 = __pyx_t_2;
    __Pyx_INCREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_XDECREF_SET(__pyx_v_explain_str_b, ((PyObject*)__pyx_t_5));
    __pyx_t_5 = 0;

    /* "primer3/thermoanalysis.pyx":1647
 *             p3_get_rv_best_pairs(retval),
 *         )
 *         output_dict['PRIMER_PAIR_EXPLAIN'] = explain_str_b.decode('utf8')             # <<<<<<<<<<<<<<
 * 
 *     # Print out the stop codon if a reading frame was specified
*/
    if (unlikely(__pyx_v_explain_str_b == Py_None)) {
      PyErr_Format(PyExc_AttributeError, "'NoneType' object has no attribute '%.30s'", "decode");
      __PYX_ERR(0, 1647, __pyx_L1_error)
    }
    __pyx_t_5 = __Pyx_decode_bytes(__pyx_v_explain_str_b, 0, PY_SSIZE_T_MAX, NULL, NULL, PyUnicode_DecodeUTF8); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1647, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    if (unlikely((PyDict_SetItem(__pyx_v_output_dict, __pyx_mstate_global->__pyx_n_u_PRIMER_PAIR_EXPLAIN, __pyx_t_5) < 0))) __PYX_ERR(0, 1647, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;

    /* "primer3/thermoanalysis.pyx":1640
 *         output_dict['PRIMER_INTERNAL_EXPLAIN'] = explain_str_b.decode('utf8')
 * 
 *     if (             # <<<<<<<<<<<<<<
 *         (global_settings_data[0].pick_right_primer == 1) and
 *         (global_settings_data[0].pick_left_primer == 1)
*/
  }

  /* "primer3/thermoanalysis.pyx":1650
 * 
 *     # Print out the stop codon if a reading frame was specified
 *     if not PR_START_CODON_POS_IS_NULL(sequence_args_data):             # <<<<<<<<<<<<<<
 *         stop_codon_pos = retval[0].stop_codon_pos
 *         output_dict['PRIMER_STOP_CODON_POSITION'] = stop_codon_pos
*/
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  if (__pyx_t_3) {

    /* "primer3/thermoanalysis.pyx":1651
 *     # Print out the stop codon if a reading frame was specified
 *     if not PR_START_CODON_POS_IS_NULL(sequence_args_data):
 *         stop_codon_pos = retval[0].stop_codon_pos             # <<<<<<<<<<<<<<
 *         output_dict['PRIMER_STOP_CODON_POSITION'] = stop_codon_pos
 * 
*/
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    /* "primer3/thermoanalysis.pyx":1652
 *     if not PR_START_CODON_POS_IS_NULL(sequence_args_data):
 *         stop_codon_pos = retval[0].stop_codon_pos
 *         output_dict['PRIMER_STOP_CODON_POSITION'] = stop_codon_pos             # <<<<<<<<<<<<<<
 * 
 *     # How often has the loop to be done?
*/
    __pyx_t_5 = __Pyx_PyLong_From_int(__pyx_v_stop_codon_pos); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1652, __pyx_L1_error)
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    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;

    /* "primer3/thermoanalysis.pyx":1650
 * 
 *     # Print out the stop codon if a reading frame was specified
 *     if not PR_START_CODON_POS_IS_NULL(sequence_args_data):             # <<<<<<<<<<<<<<
 *         stop_codon_pos = retval[0].stop_codon_pos
 *         output_dict['PRIMER_STOP_CODON_POSITION'] = stop_codon_pos
*/
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  /* "primer3/thermoanalysis.pyx":1655
 * 
 *     # How often has the loop to be done?
 *     if retval[0].output_type == p3_output_type.primer_list:             # <<<<<<<<<<<<<<
 *         # For Primer Lists: Figure out how many primers are in
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*/
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    /* "primer3/thermoanalysis.pyx":1660
 *         #  set it to the number requested.
 *         #  Get how may primers should be printed
 *         num_print = global_settings_data[0].num_return             # <<<<<<<<<<<<<<
 *         # Set how many primers will be printed
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*/
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    /* "primer3/thermoanalysis.pyx":1662
 *         num_print = global_settings_data[0].num_return
 *         # Set how many primers will be printed
 *         print_fwd = num_print if (num_print < num_fwd) else num_fwd             # <<<<<<<<<<<<<<
 *         print_rev = num_print if (num_print < num_rev) else  num_rev
 *         print_int = num_print if (num_print < num_int) else num_int
*/
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    /* "primer3/thermoanalysis.pyx":1663
 *         # Set how many primers will be printed
 *         print_fwd = num_print if (num_print < num_fwd) else num_fwd
 *         print_rev = num_print if (num_print < num_rev) else  num_rev             # <<<<<<<<<<<<<<
 *         print_int = num_print if (num_print < num_int) else num_int
 *         # Get which list has to print most primers
*/
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      __pyx_t_8 = __pyx_v_num_print;
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      __pyx_t_8 = __pyx_v_num_rev;
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    /* "primer3/thermoanalysis.pyx":1664
 *         print_fwd = num_print if (num_print < num_fwd) else num_fwd
 *         print_rev = num_print if (num_print < num_rev) else  num_rev
 *         print_int = num_print if (num_print < num_int) else num_int             # <<<<<<<<<<<<<<
 *         # Get which list has to print most primers
 *         loop_max = 0
*/
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    /* "primer3/thermoanalysis.pyx":1666
 *         print_int = num_print if (num_print < num_int) else num_int
 *         # Get which list has to print most primers
 *         loop_max = 0             # <<<<<<<<<<<<<<
 *         if loop_max < print_fwd:
 *             loop_max = print_fwd
*/
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    /* "primer3/thermoanalysis.pyx":1667
 *         # Get which list has to print most primers
 *         loop_max = 0
 *         if loop_max < print_fwd:             # <<<<<<<<<<<<<<
 *             loop_max = print_fwd
 *         if loop_max < print_rev:
*/
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      /* "primer3/thermoanalysis.pyx":1668
 *         loop_max = 0
 *         if loop_max < print_fwd:
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 *         if loop_max < print_rev:
 *             loop_max = print_rev
*/
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      /* "primer3/thermoanalysis.pyx":1667
 *         # Get which list has to print most primers
 *         loop_max = 0
 *         if loop_max < print_fwd:             # <<<<<<<<<<<<<<
 *             loop_max = print_fwd
 *         if loop_max < print_rev:
*/
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 *         if loop_max < print_fwd:
 *             loop_max = print_fwd
 *         if loop_max < print_rev:             # <<<<<<<<<<<<<<
 *             loop_max = print_rev
 *         if loop_max < print_int:
*/
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 *             loop_max = print_fwd
 *         if loop_max < print_rev:
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 *         if loop_max < print_int:
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*/
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      /* "primer3/thermoanalysis.pyx":1669
 *         if loop_max < print_fwd:
 *             loop_max = print_fwd
 *         if loop_max < print_rev:             # <<<<<<<<<<<<<<
 *             loop_max = print_rev
 *         if loop_max < print_int:
*/
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 *         if loop_max < print_rev:
 *             loop_max = print_rev
 *         if loop_max < print_int:             # <<<<<<<<<<<<<<
 *             loop_max = print_int
 * 
*/
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      /* "primer3/thermoanalysis.pyx":1672
 *             loop_max = print_rev
 *         if loop_max < print_int:
 *             loop_max = print_int             # <<<<<<<<<<<<<<
 * 
 *         # Now the vars are there how often we have to go
*/
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 *         if loop_max < print_rev:
 *             loop_max = print_rev
 *         if loop_max < print_int:             # <<<<<<<<<<<<<<
 *             loop_max = print_int
 * 
*/
    }

    /* "primer3/thermoanalysis.pyx":1677
 *         # through the loop and how many of each primer can
 *         #  be printed
 *         num_pair = 0             # <<<<<<<<<<<<<<
 *     else:
 *         loop_max = num_pair
*/
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    /* "primer3/thermoanalysis.pyx":1655
 * 
 *     # How often has the loop to be done?
 *     if retval[0].output_type == p3_output_type.primer_list:             # <<<<<<<<<<<<<<
 *         # For Primer Lists: Figure out how many primers are in
 *         # the array that can be printed. If more than needed,
*/
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  }

  /* "primer3/thermoanalysis.pyx":1679
 *         num_pair = 0
 *     else:
 *         loop_max = num_pair             # <<<<<<<<<<<<<<
 *         # Set how many primers will be printed
 *         print_fwd = num_pair
*/
  /*else*/ {
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    /* "primer3/thermoanalysis.pyx":1681
 *         loop_max = num_pair
 *         # Set how many primers will be printed
 *         print_fwd = num_pair             # <<<<<<<<<<<<<<
 *         print_rev = num_pair
 *         if num_int != 0:
*/
    __pyx_v_print_fwd = __pyx_v_num_pair;

    /* "primer3/thermoanalysis.pyx":1682
 *         # Set how many primers will be printed
 *         print_fwd = num_pair
 *         print_rev = num_pair             # <<<<<<<<<<<<<<
 *         if num_int != 0:
 *             print_int = num_pair
*/
    __pyx_v_print_rev = __pyx_v_num_pair;

    /* "primer3/thermoanalysis.pyx":1683
 *         print_fwd = num_pair
 *         print_rev = num_pair
 *         if num_int != 0:             # <<<<<<<<<<<<<<
 *             print_int = num_pair
 * 
*/
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 *         print_rev = num_pair
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 * 
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*/
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*/
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 * 
 *     # Save the number of each type of oligo that was found
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 * 
*/
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 *     output_dict[f'PRIMER_{int_oligo}_NUM_RETURNED'] = print_int             # <<<<<<<<<<<<<<
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 * 
 *     output_dict[f'PRIMER_{int_oligo}_NUM_RETURNED'] = print_int
 *     output_dict['PRIMER_PAIR_NUM_RETURNED'] = num_pair             # <<<<<<<<<<<<<<
 * 
 *     output_dict['PRIMER_PAIR'] = [None] * num_pair
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 * 
 *     output_dict['PRIMER_PAIR'] = [None] * num_pair             # <<<<<<<<<<<<<<
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 *     output_dict['PRIMER_RIGHT'] = [None] * print_rev
*/
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 * 
 *     output_dict['PRIMER_PAIR'] = [None] * num_pair
 *     output_dict['PRIMER_LEFT'] = [None] * print_fwd             # <<<<<<<<<<<<<<
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*/
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 *     output_dict['PRIMER_PAIR'] = [None] * num_pair
 *     output_dict['PRIMER_LEFT'] = [None] * print_fwd
 *     output_dict['PRIMER_RIGHT'] = [None] * print_rev             # <<<<<<<<<<<<<<
 *     output_dict[f'PRIMER_{int_oligo}'] = [None] * print_int
 * 
*/
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    for (__pyx_temp=0; __pyx_temp < __pyx_v_print_rev; __pyx_temp++) {
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 *     output_dict['PRIMER_LEFT'] = [None] * print_fwd
 *     output_dict['PRIMER_RIGHT'] = [None] * print_rev
 *     output_dict[f'PRIMER_{int_oligo}'] = [None] * print_int             # <<<<<<<<<<<<<<
 * 
 *     # Start of the loop printing all pairs or primers or oligos
*/
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  __pyx_t_7 = __Pyx_PyObject_FormatSimple(__pyx_v_int_oligo, __pyx_mstate_global->__pyx_empty_unicode); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1696, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_2 = __Pyx_PyUnicode_Concat(__pyx_mstate_global->__pyx_n_u_PRIMER, __pyx_t_7); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1696, __pyx_L1_error)
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 * 
 *     # Start of the loop printing all pairs or primers or oligos
 *     for i in range(loop_max):             # <<<<<<<<<<<<<<
 *         # What needs to be printed the conditions for primer lists
 *         if retval[0].output_type == p3_output_type.primer_list:
*/
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    /* "primer3/thermoanalysis.pyx":1701
 *     for i in range(loop_max):
 *         # What needs to be printed the conditions for primer lists
 *         if retval[0].output_type == p3_output_type.primer_list:             # <<<<<<<<<<<<<<
 *             # Attach the selected primers to the pointers
 *             fwd = &(retval[0].fwd.oligo[i])
*/
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      /* "primer3/thermoanalysis.pyx":1703
 *         if retval[0].output_type == p3_output_type.primer_list:
 *             # Attach the selected primers to the pointers
 *             fwd = &(retval[0].fwd.oligo[i])             # <<<<<<<<<<<<<<
 *             rev = &(retval[0].rev.oligo[i])
 *             intl = &(retval[0].intl.oligo[i])
*/
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 *             # Attach the selected primers to the pointers
 *             fwd = &(retval[0].fwd.oligo[i])
 *             rev = &(retval[0].rev.oligo[i])             # <<<<<<<<<<<<<<
 *             intl = &(retval[0].intl.oligo[i])
 * 
*/
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      /* "primer3/thermoanalysis.pyx":1705
 *             fwd = &(retval[0].fwd.oligo[i])
 *             rev = &(retval[0].rev.oligo[i])
 *             intl = &(retval[0].intl.oligo[i])             # <<<<<<<<<<<<<<
 * 
 *             # Do fwd oligos have to be printed?
*/
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      /* "primer3/thermoanalysis.pyx":1708
 * 
 *             # Do fwd oligos have to be printed?
 *             if (global_settings_data[0].pick_left_primer) and (i < print_fwd):             # <<<<<<<<<<<<<<
 *                 go_fwd = 1
 *             else:
*/
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        /* "primer3/thermoanalysis.pyx":1709
 *             # Do fwd oligos have to be printed?
 *             if (global_settings_data[0].pick_left_primer) and (i < print_fwd):
 *                 go_fwd = 1             # <<<<<<<<<<<<<<
 *             else:
 *                 go_fwd = 0
*/
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        /* "primer3/thermoanalysis.pyx":1708
 * 
 *             # Do fwd oligos have to be printed?
 *             if (global_settings_data[0].pick_left_primer) and (i < print_fwd):             # <<<<<<<<<<<<<<
 *                 go_fwd = 1
 *             else:
*/
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      /* "primer3/thermoanalysis.pyx":1711
 *                 go_fwd = 1
 *             else:
 *                 go_fwd = 0             # <<<<<<<<<<<<<<
 * 
 *             # Do rev oligos have to be printed?
*/
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 * 
 *             # Do rev oligos have to be printed?
 *             if (global_settings_data[0].pick_right_primer) and (i < print_rev):             # <<<<<<<<<<<<<<
 *                 go_rev = 1
 *             else:
*/
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        /* "primer3/thermoanalysis.pyx":1715
 *             # Do rev oligos have to be printed?
 *             if (global_settings_data[0].pick_right_primer) and (i < print_rev):
 *                 go_rev = 1             # <<<<<<<<<<<<<<
 *             else:
 *                 go_rev = 0
*/
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        /* "primer3/thermoanalysis.pyx":1714
 * 
 *             # Do rev oligos have to be printed?
 *             if (global_settings_data[0].pick_right_primer) and (i < print_rev):             # <<<<<<<<<<<<<<
 *                 go_rev = 1
 *             else:
*/
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 *                 go_rev = 1
 *             else:
 *                 go_rev = 0             # <<<<<<<<<<<<<<
 * 
 *             # Do int oligos have to be printed?
*/
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      /* "primer3/thermoanalysis.pyx":1720
 * 
 *             # Do int oligos have to be printed?
 *             if (global_settings_data[0].pick_internal_oligo) and (i < print_int):             # <<<<<<<<<<<<<<
 *                 go_int = 1
 *             else:
*/
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        /* "primer3/thermoanalysis.pyx":1721
 *             # Do int oligos have to be printed?
 *             if (global_settings_data[0].pick_internal_oligo) and (i < print_int):
 *                 go_int = 1             # <<<<<<<<<<<<<<
 *             else:
 *                 go_int = 0
*/
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        /* "primer3/thermoanalysis.pyx":1720
 * 
 *             # Do int oligos have to be printed?
 *             if (global_settings_data[0].pick_internal_oligo) and (i < print_int):             # <<<<<<<<<<<<<<
 *                 go_int = 1
 *             else:
*/
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      /* "primer3/thermoanalysis.pyx":1723
 *                 go_int = 1
 *             else:
 *                 go_int = 0             # <<<<<<<<<<<<<<
 * 
 *         else:
*/
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 *     for i in range(loop_max):
 *         # What needs to be printed the conditions for primer lists
 *         if retval[0].output_type == p3_output_type.primer_list:             # <<<<<<<<<<<<<<
 *             # Attach the selected primers to the pointers
 *             fwd = &(retval[0].fwd.oligo[i])
*/
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    /* "primer3/thermoanalysis.pyx":1729
 *             #  Get pointers to the primer_rec's that we will print
 *             # Pairs must have fwd and rev primers
 *             fwd  = retval[0].best_pairs.pairs[i].left             # <<<<<<<<<<<<<<
 *             rev  = retval[0].best_pairs.pairs[i].right
 *             intl = retval[0].best_pairs.pairs[i].intl
*/
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      /* "primer3/thermoanalysis.pyx":1730
 *             # Pairs must have fwd and rev primers
 *             fwd  = retval[0].best_pairs.pairs[i].left
 *             rev  = retval[0].best_pairs.pairs[i].right             # <<<<<<<<<<<<<<
 *             intl = retval[0].best_pairs.pairs[i].intl
 *             go_fwd = 1
*/
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      /* "primer3/thermoanalysis.pyx":1731
 *             fwd  = retval[0].best_pairs.pairs[i].left
 *             rev  = retval[0].best_pairs.pairs[i].right
 *             intl = retval[0].best_pairs.pairs[i].intl             # <<<<<<<<<<<<<<
 *             go_fwd = 1
 *             go_rev = 1
*/
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 *             rev  = retval[0].best_pairs.pairs[i].right
 *             intl = retval[0].best_pairs.pairs[i].intl
 *             go_fwd = 1             # <<<<<<<<<<<<<<
 *             go_rev = 1
 *             # Do hyb oligos have to be printed?
*/
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      /* "primer3/thermoanalysis.pyx":1733
 *             intl = retval[0].best_pairs.pairs[i].intl
 *             go_fwd = 1
 *             go_rev = 1             # <<<<<<<<<<<<<<
 *             # Do hyb oligos have to be printed?
 *             if (global_settings_data[0].pick_internal_oligo == 1):
*/
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      /* "primer3/thermoanalysis.pyx":1735
 *             go_rev = 1
 *             # Do hyb oligos have to be printed?
 *             if (global_settings_data[0].pick_internal_oligo == 1):             # <<<<<<<<<<<<<<
 *                 go_int = 1
 *             else:
*/
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        /* "primer3/thermoanalysis.pyx":1736
 *             # Do hyb oligos have to be printed?
 *             if (global_settings_data[0].pick_internal_oligo == 1):
 *                 go_int = 1             # <<<<<<<<<<<<<<
 *             else:
 *                 go_int = 0
*/
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        /* "primer3/thermoanalysis.pyx":1735
 *             go_rev = 1
 *             # Do hyb oligos have to be printed?
 *             if (global_settings_data[0].pick_internal_oligo == 1):             # <<<<<<<<<<<<<<
 *                 go_int = 1
 *             else:
*/
        goto __pyx_L49;
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      /* "primer3/thermoanalysis.pyx":1738
 *                 go_int = 1
 *             else:
 *                 go_int = 0             # <<<<<<<<<<<<<<
 * 
 *         # Print out the Pair Penalties
*/
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      __pyx_L49:;
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    __pyx_L39:;

    /* "primer3/thermoanalysis.pyx":1741
 * 
 *         # Print out the Pair Penalties
 *         primer_pair_i = {}             # <<<<<<<<<<<<<<
 *         primer_left_i = {}
 *         primer_right_i = {}
*/
    __pyx_t_5 = __Pyx_PyDict_NewPresized(0); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1741, __pyx_L1_error)
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    __pyx_t_5 = 0;

    /* "primer3/thermoanalysis.pyx":1742
 *         # Print out the Pair Penalties
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*/
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*/
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*/
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*/
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*/
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*/
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*/
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*/
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*/
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*/
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*/
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 *             primer_right_i['SELF_ANY_TH'] = rev[0].self_any
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*/
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 *         if (
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*/
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 *             primer_left_i['SELF_ANY_TH'] = fwd[0].self_any
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 *             (go_rev == 1) and
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*/
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 *             primer_right_i['SELF_ANY_TH'] = rev[0].self_any
 *         if (
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 *             (global_settings_data[0].thermodynamic_oligo_alignment == 1)
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*/
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 *         if (
 *             (go_int == 1) and
 *             (global_settings_data[0].thermodynamic_oligo_alignment == 1)             # <<<<<<<<<<<<<<
 *         ):
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*/
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 *             (go_int == 1) and
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*/
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*/
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 *             output_dict[f'PRIMER_{int_oligo}_{i}_SELF_ANY_TH'] = intl[0].self_any
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 *         if (             # <<<<<<<<<<<<<<
 *             (go_int == 1) and
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*/
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 *         # Print primer secondary structures*[inserted by cython to avoid comment closer]/
 *         if (
 *             (go_fwd == 1) and             # <<<<<<<<<<<<<<
 *             (global_settings_data[0].show_secondary_structure_alignment == 1) and
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*/
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 * 
 *         # Print primer secondary structures*[inserted by cython to avoid comment closer]/
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 *             (go_fwd == 1) and
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 *             (go_fwd == 1) and
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*/
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*/
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*/
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*/
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*/
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 *         if (
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*/
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 * 
 *         # Print position penalty, this is for backward compatibility
 *         if (             # <<<<<<<<<<<<<<
 *             not pr_default_position_penalties(global_settings_data) or
 *             not PR_START_CODON_POS_IS_NULL(sequence_args_data)
*/
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 *         ):
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 *                 output_dict[f'PRIMER_LEFT_{i}_POSITION_PENALTY'] = fwd[0].position_penalty
 *                 primer_left_i['POSITION_PENALTY'] = fwd[0].position_penalty
*/
      __pyx_t_3 = (__pyx_v_go_fwd == 1);
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 *             if go_fwd == 1:
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 *                 primer_left_i['POSITION_PENALTY'] = fwd[0].position_penalty
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*/
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        __Pyx_GOTREF(__pyx_t_7);
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        __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
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        /* "primer3/thermoanalysis.pyx":2104
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*/
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        /* "primer3/thermoanalysis.pyx":2102
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 *                 output_dict[f'PRIMER_LEFT_{i}_POSITION_PENALTY'] = fwd[0].position_penalty
 *                 primer_left_i['POSITION_PENALTY'] = fwd[0].position_penalty
*/
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 *                 output_dict[f'PRIMER_LEFT_{i}_POSITION_PENALTY'] = fwd[0].position_penalty
 *                 primer_left_i['POSITION_PENALTY'] = fwd[0].position_penalty
 *             if go_rev == 1:             # <<<<<<<<<<<<<<
 *                 output_dict[f'PRIMER_RIGHT_{i}_POSITION_PENALTY'] = rev[0].position_penalty
 *                 primer_right_i['POSITION_PENALTY'] = rev[0].position_penalty
*/
      __pyx_t_3 = (__pyx_v_go_rev == 1);
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        /* "primer3/thermoanalysis.pyx":2106
 *                 primer_left_i['POSITION_PENALTY'] = fwd[0].position_penalty
 *             if go_rev == 1:
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 *                 primer_right_i['POSITION_PENALTY'] = rev[0].position_penalty
 * 
*/
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        __Pyx_GOTREF(__pyx_t_7);
        __pyx_t_4 = __Pyx_PyUnicode_From_int(__pyx_v_i, 0, ' ', 'd'); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 2106, __pyx_L1_error)
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        __pyx_t_18[1] = __pyx_t_4;
        __pyx_t_18[2] = __pyx_mstate_global->__pyx_n_u_POSITION_PENALTY;
        __pyx_t_5 = __Pyx_PyUnicode_Join(__pyx_t_18, 3, 13 + __Pyx_PyUnicode_GET_LENGTH(__pyx_t_4) + 17, 127);
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 *         # Print primer end stability
*/
        __pyx_t_7 = PyFloat_FromDouble((__pyx_v_rev[0]).position_penalty); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 2107, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_7);
        if (unlikely((PyDict_SetItem(__pyx_v_primer_right_i, __pyx_mstate_global->__pyx_n_u_POSITION_PENALTY_2, __pyx_t_7) < 0))) __PYX_ERR(0, 2107, __pyx_L1_error)
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        /* "primer3/thermoanalysis.pyx":2105
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 *                 output_dict[f'PRIMER_RIGHT_{i}_POSITION_PENALTY'] = rev[0].position_penalty
 *                 primer_right_i['POSITION_PENALTY'] = rev[0].position_penalty
*/
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 *         # Print position penalty, this is for backward compatibility
 *         if (             # <<<<<<<<<<<<<<
 *             not pr_default_position_penalties(global_settings_data) or
 *             not PR_START_CODON_POS_IS_NULL(sequence_args_data)
*/
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 * 
 *         # Print primer end stability
 *         if go_fwd == 1:             # <<<<<<<<<<<<<<
 *             output_dict[f'PRIMER_LEFT_{i}_END_STABILITY'] = fwd[0].end_stability
 *             primer_left_i['END_STABILITY'] = fwd[0].end_stability
*/
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 *         # Print primer end stability
 *         if go_fwd == 1:
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 *             primer_left_i['END_STABILITY'] = fwd[0].end_stability
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*/
      __pyx_t_7 = PyFloat_FromDouble((__pyx_v_fwd[0]).end_stability); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 2111, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_5 = __Pyx_PyUnicode_From_int(__pyx_v_i, 0, ' ', 'd'); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 2111, __pyx_L1_error)
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      __pyx_t_18[0] = __pyx_mstate_global->__pyx_n_u_PRIMER_LEFT_2;
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      __pyx_t_18[2] = __pyx_mstate_global->__pyx_n_u_END_STABILITY;
      __pyx_t_4 = __Pyx_PyUnicode_Join(__pyx_t_18, 3, 12 + __Pyx_PyUnicode_GET_LENGTH(__pyx_t_5) + 14, 127);
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      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
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      /* "primer3/thermoanalysis.pyx":2112
 *         if go_fwd == 1:
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 *             primer_left_i['END_STABILITY'] = fwd[0].end_stability             # <<<<<<<<<<<<<<
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*/
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      /* "primer3/thermoanalysis.pyx":2110
 * 
 *         # Print primer end stability
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 *             output_dict[f'PRIMER_LEFT_{i}_END_STABILITY'] = fwd[0].end_stability
 *             primer_left_i['END_STABILITY'] = fwd[0].end_stability
*/
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 *             output_dict[f'PRIMER_LEFT_{i}_END_STABILITY'] = fwd[0].end_stability
 *             primer_left_i['END_STABILITY'] = fwd[0].end_stability
 *         if go_rev == 1:             # <<<<<<<<<<<<<<
 *             output_dict[f'PRIMER_RIGHT_{i}_END_STABILITY'] = rev[0].end_stability
 *             primer_right_i['END_STABILITY'] = rev[0].end_stability
*/
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      /* "primer3/thermoanalysis.pyx":2114
 *             primer_left_i['END_STABILITY'] = fwd[0].end_stability
 *         if go_rev == 1:
 *             output_dict[f'PRIMER_RIGHT_{i}_END_STABILITY'] = rev[0].end_stability             # <<<<<<<<<<<<<<
 *             primer_right_i['END_STABILITY'] = rev[0].end_stability
 * 
*/
      __pyx_t_7 = PyFloat_FromDouble((__pyx_v_rev[0]).end_stability); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 2114, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_4 = __Pyx_PyUnicode_From_int(__pyx_v_i, 0, ' ', 'd'); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 2114, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_18[0] = __pyx_mstate_global->__pyx_n_u_PRIMER_RIGHT_2;
      __pyx_t_18[1] = __pyx_t_4;
      __pyx_t_18[2] = __pyx_mstate_global->__pyx_n_u_END_STABILITY;
      __pyx_t_5 = __Pyx_PyUnicode_Join(__pyx_t_18, 3, 13 + __Pyx_PyUnicode_GET_LENGTH(__pyx_t_4) + 14, 127);
      if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 2114, __pyx_L1_error)
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      /* "primer3/thermoanalysis.pyx":2115
 *         if go_rev == 1:
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 * 
 *         # Print primer template mispriming
*/
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      __Pyx_GOTREF(__pyx_t_7);
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      /* "primer3/thermoanalysis.pyx":2113
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 *             output_dict[f'PRIMER_RIGHT_{i}_END_STABILITY'] = rev[0].end_stability
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*/
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    /* "primer3/thermoanalysis.pyx":2119
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 *             (go_fwd == 1) and
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*/
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    } else {
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    /* "primer3/thermoanalysis.pyx":2120
 *         if (
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 *             (go_fwd == 1) and             # <<<<<<<<<<<<<<
 *             (oligo_max_template_mispriming(fwd) != ALIGN_SCORE_UNDEF)
 *         ):
*/
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    } else {
      __pyx_t_3 = __pyx_t_17;
      goto __pyx_L187_bool_binop_done;
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    /* "primer3/thermoanalysis.pyx":2121
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
 *             (go_fwd == 1) and
 *             (oligo_max_template_mispriming(fwd) != ALIGN_SCORE_UNDEF)             # <<<<<<<<<<<<<<
 *         ):
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*/
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    /* "primer3/thermoanalysis.pyx":2118
 * 
 *         # Print primer template mispriming
 *         if (             # <<<<<<<<<<<<<<
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
 *             (go_fwd == 1) and
*/
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      /* "primer3/thermoanalysis.pyx":2124
 *         ):
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 *             primer_left_i['TEMPLATE_MISPRIMING'] = \
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*/
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 *             (oligo_max_template_mispriming(fwd) != ALIGN_SCORE_UNDEF)
 *         ):
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 *                 oligo_max_template_mispriming(fwd)
 *             primer_left_i['TEMPLATE_MISPRIMING'] = \
*/
      __pyx_t_5 = __Pyx_PyUnicode_From_int(__pyx_v_i, 0, ' ', 'd'); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 2123, __pyx_L1_error)
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      __pyx_t_18[1] = __pyx_t_5;
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      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 2123, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
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      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;

      /* "primer3/thermoanalysis.pyx":2126
 *                 oligo_max_template_mispriming(fwd)
 *             primer_left_i['TEMPLATE_MISPRIMING'] = \
 *                 oligo_max_template_mispriming(fwd)             # <<<<<<<<<<<<<<
 *         if (
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
*/
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      __Pyx_GOTREF(__pyx_t_7);

      /* "primer3/thermoanalysis.pyx":2125
 *             output_dict[f'PRIMER_LEFT_{i}_TEMPLATE_MISPRIMING'] = \
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 *             primer_left_i['TEMPLATE_MISPRIMING'] = \             # <<<<<<<<<<<<<<
 *                 oligo_max_template_mispriming(fwd)
 *         if (
*/
      if (unlikely((PyDict_SetItem(__pyx_v_primer_left_i, __pyx_mstate_global->__pyx_n_u_TEMPLATE_MISPRIMING_2, __pyx_t_7) < 0))) __PYX_ERR(0, 2125, __pyx_L1_error)
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;

      /* "primer3/thermoanalysis.pyx":2118
 * 
 *         # Print primer template mispriming
 *         if (             # <<<<<<<<<<<<<<
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
 *             (go_fwd == 1) and
*/
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    /* "primer3/thermoanalysis.pyx":2128
 *                 oligo_max_template_mispriming(fwd)
 *         if (
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and             # <<<<<<<<<<<<<<
 *             (go_rev == 1) and
 *             (oligo_max_template_mispriming(rev) != ALIGN_SCORE_UNDEF)
*/
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    /* "primer3/thermoanalysis.pyx":2129
 *         if (
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
 *             (go_rev == 1) and             # <<<<<<<<<<<<<<
 *             (oligo_max_template_mispriming(rev) != ALIGN_SCORE_UNDEF)
 *         ):
*/
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    /* "primer3/thermoanalysis.pyx":2130
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
 *             (go_rev == 1) and
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 *         ):
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*/
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*/
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 *             output_dict[f'PRIMER_RIGHT_{i}_TEMPLATE_MISPRIMING'] = \
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*/
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 *             (oligo_max_template_mispriming(rev) != ALIGN_SCORE_UNDEF)
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 *                 oligo_max_template_mispriming(rev)
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*/
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 * 
 *         # Print primer template mispriming, thermodynamical approach*[inserted by cython to avoid comment closer]/
*/
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 * 
*/
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 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
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*/
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    /* "primer3/thermoanalysis.pyx":2139
 *         # Print primer template mispriming, thermodynamical approach*[inserted by cython to avoid comment closer]/
 *         if (
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and             # <<<<<<<<<<<<<<
 *             (go_fwd == 1) and
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*/
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      __pyx_t_3 = __pyx_t_17;
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    /* "primer3/thermoanalysis.pyx":2140
 *         if (
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
 *             (go_fwd == 1) and             # <<<<<<<<<<<<<<
 *             (oligo_max_template_mispriming(fwd) != ALIGN_SCORE_UNDEF)
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*/
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      __pyx_t_3 = __pyx_t_17;
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 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
 *             (go_fwd == 1) and
 *             (oligo_max_template_mispriming(fwd) != ALIGN_SCORE_UNDEF)             # <<<<<<<<<<<<<<
 *         ):
 *             output_dict[f'PRIMER_LEFT_{i}_TEMPLATE_MISPRIMING_TH'] = \
*/
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    /* "primer3/thermoanalysis.pyx":2138
 * 
 *         # Print primer template mispriming, thermodynamical approach*[inserted by cython to avoid comment closer]/
 *         if (             # <<<<<<<<<<<<<<
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
 *             (go_fwd == 1) and
*/
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 *             primer_left_i['TEMPLATE_MISPRIMING_TH'] = \
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*/
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*/
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 *             primer_left_i['TEMPLATE_MISPRIMING_TH'] = \
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 * 
 *         if (
*/
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*/
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 *         # Print primer template mispriming, thermodynamical approach*[inserted by cython to avoid comment closer]/
 *         if (             # <<<<<<<<<<<<<<
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
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*/
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 * 
 *         if (
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and             # <<<<<<<<<<<<<<
 *             (go_rev == 1) and
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*/
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 *         if (
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
 *             (go_rev == 1) and             # <<<<<<<<<<<<<<
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*/
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 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
 *             (go_rev == 1) and
 *             (oligo_max_template_mispriming(rev) != ALIGN_SCORE_UNDEF)             # <<<<<<<<<<<<<<
 *         ):
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*/
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 * 
 *         if (             # <<<<<<<<<<<<<<
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
 *             (go_rev == 1) and
*/
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 *             output_dict[f'PRIMER_RIGHT_{i}_TEMPLATE_MISPRIMING_TH'] = \
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 *             primer_right_i['TEMPLATE_MISPRIMING_TH'] = \
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*/
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 *         ):
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*/
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 *         if (             # <<<<<<<<<<<<<<
 *             (global_settings_data[0].thermodynamic_template_alignment == 0) and
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*/
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*/
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    /* "primer3/thermoanalysis.pyx":2159
 * 
 *         # Print primer secondary structures*[inserted by cython to avoid comment closer]/
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 *             (go_fwd == 1) and
 *             (global_settings_data[0].show_secondary_structure_alignment == 1) and
*/
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*/
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 *         if (
*/
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 *         # Print primer secondary structures*[inserted by cython to avoid comment closer]/
 *         if (             # <<<<<<<<<<<<<<
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*/
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 *         if (
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*/
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*/
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 *             (go_rev == 1) and
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*/
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*/
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*/
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*/
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 *         # Print the pair parameters*[inserted by cython to avoid comment closer]/
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*/
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*/
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 *             # Print pair comp_any
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*/
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*/
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*/
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 * 
 *             if global_settings_data[0].thermodynamic_oligo_alignment == 1:
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 *                     retval[0].best_pairs.pairs[i].compl_any
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 *             # Print primer secondary structures *[inserted by cython to avoid comment closer]/
*/
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 *                 output_dict[f'PRIMER_PAIR_{i}_COMPL_ANY_TH'] = \
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 *                     retval[0].best_pairs.pairs[i].compl_any
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*/
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 *                     retval[0].best_pairs.pairs[i].compl_any
 * 
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 *                 output_dict[f'PRIMER_PAIR_{i}_COMPL_ANY_TH'] = \
 *                     retval[0].best_pairs.pairs[i].compl_any
*/
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 *             # Print primer secondary structures *[inserted by cython to avoid comment closer]/
 *             if (
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 *                 (retval[0].best_pairs.pairs[i].compl_any_struct != NULL)
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*/
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*/
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 * 
 *             # Print primer secondary structures *[inserted by cython to avoid comment closer]/
 *             if (             # <<<<<<<<<<<<<<
 *                 (global_settings_data[0].show_secondary_structure_alignment == 1) and
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 *             ):
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*/
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*/
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*/
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 * 
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*/
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*/
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*/
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 *             # Print the primer pair template mispriming. Thermodynamic approach.
 *             if (
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 *                     (retval[0].best_pairs.pairs[i].template_mispriming != ALIGN_SCORE_UNDEF)
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*/
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 *             if (
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 *                     (retval[0].best_pairs.pairs[i].template_mispriming != ALIGN_SCORE_UNDEF)             # <<<<<<<<<<<<<<
 *             ):
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*/
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 * 
 *             # Print the primer pair template mispriming. Thermodynamic approach.
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 *                     (global_settings_data[0].thermodynamic_template_alignment == 1) and
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*/
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*/
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 *                     retval[0].best_pairs.pairs[i].template_mispriming
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*/
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 *             # Print the primer pair template mispriming. Thermodynamic approach.
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 *                     (global_settings_data[0].thermodynamic_template_alignment == 1) and
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 *             if (
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 * 
 *             # Print primer secondary structures*[inserted by cython to avoid comment closer]/
 *             if (             # <<<<<<<<<<<<<<
 *                  (global_settings_data[0].show_secondary_structure_alignment == 1) and
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 *         # Print the pair parameters*[inserted by cython to avoid comment closer]/
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*/
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*/
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*/
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*/
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*/
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 * 
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  /* "primer3/thermoanalysis.pyx":1502
 * 
 * 
 * cdef inline object pdh_design_output_to_dict(             # <<<<<<<<<<<<<<
 *         const p3_global_settings* global_settings_data,
 *         const seq_args_t* sequence_args_data,
*/

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}

static PyMethodDef __pyx_methods_7primer3_14thermoanalysis_ThermoResult[] = {
  {"check_exc", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_7primer3_14thermoanalysis_12ThermoResult_3check_exc, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_7primer3_14thermoanalysis_12ThermoResult_2check_exc},
  {"todict", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_7primer3_14thermoanalysis_12ThermoResult_9todict, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_7primer3_14thermoanalysis_12ThermoResult_8todict},
  {"__reduce_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_7primer3_14thermoanalysis_12ThermoResult_11__reduce_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__setstate_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_7primer3_14thermoanalysis_12ThermoResult_13__setstate_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_7primer3_14thermoanalysis_ThermoResult[] = {
  {"structure_found", __pyx_getprop_7primer3_14thermoanalysis_12ThermoResult_structure_found, 0, PyDoc_STR(" Whether or not a structure (hairpin, dimer, etc) was found as a\n        result of the calculation.\n        "), 0},
  {"tm", __pyx_getprop_7primer3_14thermoanalysis_12ThermoResult_tm, 0, PyDoc_STR(" Melting temperature of the structure in deg. C "), 0},
  {"ds", __pyx_getprop_7primer3_14thermoanalysis_12ThermoResult_ds, 0, PyDoc_STR(" delta S (enthalpy) of the structure (cal/K*mol) "), 0},
  {"dh", __pyx_getprop_7primer3_14thermoanalysis_12ThermoResult_dh, 0, PyDoc_STR(" delta H (entropy) of the structure (cal/mol) "), 0},
  {"dg", __pyx_getprop_7primer3_14thermoanalysis_12ThermoResult_dg, 0, PyDoc_STR(" delta G (Gibbs free energy) of the structure (cal/mol) "), 0},
  {"ascii_structure_lines", __pyx_getprop_7primer3_14thermoanalysis_12ThermoResult_ascii_structure_lines, 0, PyDoc_STR(" ASCII structure representation split into individual lines\n\n        e.g.::\n\n            [\n                'SEQ\t         -    T CCT-   A   TTGCTTTGAAACAATTCACCATGCAGA',\n                'SEQ\t      TGC GATG G    GCT TGC                           ',\n                'STR\t      ACG CTAC C    CGA ACG                           ',\n                'STR\tAACCTT   T    T TTAT   G   TAGGCGAGCCACCAGCGGCATAGTAA-',\n            ]\n\n        "), 0},
  {"ascii_structure", __pyx_getprop_7primer3_14thermoanalysis_12ThermoResult_ascii_structure, __pyx_setprop_7primer3_14thermoanalysis_12ThermoResult_ascii_structure, 0, 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_7primer3_14thermoanalysis_ThermoResult_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_7primer3_14thermoanalysis_ThermoResult},
  {Py_tp_repr, (void *)__pyx_pw_7primer3_14thermoanalysis_12ThermoResult_5__repr__},
  {Py_tp_str, (void *)__pyx_pw_7primer3_14thermoanalysis_12ThermoResult_7__str__},
  {Py_tp_doc, (void *)PyDoc_STR(" Class that wraps the ``thal_results`` struct from libprimer3\n    to expose tm, dg, dh, and ds values that result from a :meth:`calc_hairpin`,\n    :meth:`calc_homodimer`, :meth:`calc_heterodimer`, or\n    :meth:`calc_end_stability` calculation.\n\n    ")},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_7primer3_14thermoanalysis_ThermoResult},
  {Py_tp_clear, (void *)__pyx_tp_clear_7primer3_14thermoanalysis_ThermoResult},
  {Py_tp_methods, (void *)__pyx_methods_7primer3_14thermoanalysis_ThermoResult},
  {Py_tp_getset, (void *)__pyx_getsets_7primer3_14thermoanalysis_ThermoResult},
  {Py_tp_new, (void *)__pyx_tp_new_7primer3_14thermoanalysis_ThermoResult},
  {0, 0},
};
static PyType_Spec __pyx_type_7primer3_14thermoanalysis_ThermoResult_spec = {
  "primer3.thermoanalysis.ThermoResult",
  sizeof(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
  __pyx_type_7primer3_14thermoanalysis_ThermoResult_slots,
};
#else

static PyTypeObject __pyx_type_7primer3_14thermoanalysis_ThermoResult = {
  PyVarObject_HEAD_INIT(0, 0)
  "primer3.thermoanalysis.""ThermoResult", /*tp_name*/
  sizeof(struct __pyx_obj_7primer3_14thermoanalysis_ThermoResult), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_7primer3_14thermoanalysis_ThermoResult, /*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*/
  0, /*tp_as_async*/
  __pyx_pw_7primer3_14thermoanalysis_12ThermoResult_5__repr__, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  __pyx_pw_7primer3_14thermoanalysis_12ThermoResult_7__str__, /*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*/
  PyDoc_STR(" Class that wraps the ``thal_results`` struct from libprimer3\n    to expose tm, dg, dh, and ds values that result from a :meth:`calc_hairpin`,\n    :meth:`calc_homodimer`, :meth:`calc_heterodimer`, or\n    :meth:`calc_end_stability` calculation.\n\n    "), /*tp_doc*/
  __pyx_tp_traverse_7primer3_14thermoanalysis_ThermoResult, /*tp_traverse*/
  __pyx_tp_clear_7primer3_14thermoanalysis_ThermoResult, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_7primer3_14thermoanalysis_ThermoResult, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_7primer3_14thermoanalysis_ThermoResult, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_7primer3_14thermoanalysis_ThermoResult, /*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 CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif
static struct __pyx_vtabstruct_7primer3_14thermoanalysis__ThermoAnalysis __pyx_vtable_7primer3_14thermoanalysis__ThermoAnalysis;

static PyObject *__pyx_tp_new_7primer3_14thermoanalysis__ThermoAnalysis(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *p;
  PyObject *o;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  if (likely(!__Pyx_PyType_HasFeature(t, Py_TPFLAGS_IS_ABSTRACT))) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_mstate_global->__pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  #endif
  p = ((struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *)o);
  p->__pyx_vtab = __pyx_vtabptr_7primer3_14thermoanalysis__ThermoAnalysis;
  p->_tm_methods_int_dict = Py_None; Py_INCREF(Py_None);
  p->_salt_correction_methods_int_dict = Py_None; Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_7primer3_14thermoanalysis__ThermoAnalysis(PyObject *o) {
  struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *p = (struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_7primer3_14thermoanalysis__ThermoAnalysis) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_3__dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->_tm_methods_int_dict);
  Py_CLEAR(p->_salt_correction_methods_int_dict);
  #if CYTHON_USE_TYPE_SLOTS
  (*Py_TYPE(o)->tp_free)(o);
  #else
  {
    freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
    if (tp_free) tp_free(o);
  }
  #endif
}

static int __pyx_tp_traverse_7primer3_14thermoanalysis__ThermoAnalysis(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *p = (struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->_tm_methods_int_dict) {
    e = (*v)(p->_tm_methods_int_dict, a); if (e) return e;
  }
  if (p->_salt_correction_methods_int_dict) {
    e = (*v)(p->_salt_correction_methods_int_dict, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_7primer3_14thermoanalysis__ThermoAnalysis(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *p = (struct __pyx_obj_7primer3_14thermoanalysis__ThermoAnalysis *)o;
  tmp = ((PyObject*)p->_tm_methods_int_dict);
  p->_tm_methods_int_dict = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_salt_correction_methods_int_dict);
  p->_salt_correction_methods_int_dict = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis_mv_conc(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_7mv_conc_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis_mv_conc(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_7mv_conc_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis_dv_conc(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_7dv_conc_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis_dv_conc(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_7dv_conc_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis_dntp_conc(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_9dntp_conc_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis_dntp_conc(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_9dntp_conc_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis_dna_conc(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_8dna_conc_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis_dna_conc(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_8dna_conc_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis_temp_c(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_6temp_c_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis_temp_c(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_6temp_c_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis_max_loop(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_8max_loop_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis_max_loop(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_8max_loop_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis_tm_method(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_9tm_method_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis_tm_method(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_9tm_method_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis_salt_correction_method(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_22salt_correction_method_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis_salt_correction_method(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_22salt_correction_method_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis_max_nn_length(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_13max_nn_length_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis_max_nn_length(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_13max_nn_length_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis__tm_method(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_10_tm_method_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis__tm_method(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_10_tm_method_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis__tm_methods_int_dict(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_20_tm_methods_int_dict_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis__tm_methods_int_dict(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_20_tm_methods_int_dict_3__set__(o, v);
  }
  else {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_20_tm_methods_int_dict_5__del__(o);
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis__salt_correction_method(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_23_salt_correction_method_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis__salt_correction_method(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_23_salt_correction_method_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis__salt_correction_methods_int_dict(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_33_salt_correction_methods_int_dict_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis__salt_correction_methods_int_dict(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_33_salt_correction_methods_int_dict_3__set__(o, v);
  }
  else {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_33_salt_correction_methods_int_dict_5__del__(o);
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis_dmso_conc(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_9dmso_conc_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis_dmso_conc(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_9dmso_conc_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis_dmso_fact(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_9dmso_fact_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis_dmso_fact(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_9dmso_fact_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_7primer3_14thermoanalysis_15_ThermoAnalysis_formamide_conc(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_14formamide_conc_1__get__(o);
}

static int __pyx_setprop_7primer3_14thermoanalysis_15_ThermoAnalysis_formamide_conc(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_7primer3_14thermoanalysis_15_ThermoAnalysis_14formamide_conc_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

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/* InitStrings.proto */
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    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 972, 65};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_seq1, __pyx_mstate->__pyx_n_u_seq2, __pyx_mstate->__pyx_n_u_py_s1, __pyx_mstate->__pyx_n_u_s1, __pyx_mstate->__pyx_n_u_py_s2, __pyx_mstate->__pyx_n_u_s2, __pyx_mstate->__pyx_n_u_tr_obj};
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1045, 72};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_seq1, __pyx_mstate->__pyx_n_u_py_s1, __pyx_mstate->__pyx_n_u_s1};
    __pyx_mstate_global->__pyx_codeobj_tab[15] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_primer3_thermoanalysis_pyx, __pyx_mstate->__pyx_n_u_calc_tm, __pyx_k_A_QfA_AQ_aq_aq_j_6, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[15])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1072, 75};
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  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 16, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1092, 670};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_global_args, __pyx_mstate->__pyx_n_u_seq_args, __pyx_mstate->__pyx_n_u_misprime_lib, __pyx_mstate->__pyx_n_u_mishyb_lib, __pyx_mstate->__pyx_n_u_mp_lib, __pyx_mstate->__pyx_n_u_mh_lib, __pyx_mstate->__pyx_n_u_arg_input_buffer, __pyx_mstate->__pyx_n_u_global_settings_data, __pyx_mstate->__pyx_n_u_sequence_args_data, __pyx_mstate->__pyx_n_u_err_msg, __pyx_mstate->__pyx_n_u_global_arg_bytes, __pyx_mstate->__pyx_n_u_kmer_lists_path, __pyx_mstate->__pyx_n_u_local_dir, __pyx_mstate->__pyx_n_u_libprimer3_dir, __pyx_mstate->__pyx_n_u_exc};
    __pyx_mstate_global->__pyx_codeobj_tab[17] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_primer3_thermoanalysis_pyx, __pyx_mstate->__pyx_n_u_set_globals_and_seq_args, __pyx_k_A_5Q_31_a_a_Q_7q_Q_4_3a_A_d_a_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[17])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1242, 171};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_global_args, __pyx_mstate->__pyx_n_u_seq_args, __pyx_mstate->__pyx_n_u_misprime_lib, __pyx_mstate->__pyx_n_u_mishyb_lib, __pyx_mstate->__pyx_n_u_retval, __pyx_mstate->__pyx_n_u_results_dict};
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1, 9};
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 3, 9};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_pyx_state};
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  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS|CO_VARKEYWORDS), 2307, 51};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_cls, __pyx_mstate->__pyx_n_u_args, __pyx_mstate->__pyx_n_u_kwargs};
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 2323, 48};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_seq1, __pyx_mstate->__pyx_n_u_seq2, __pyx_mstate->__pyx_n_u_output_structure};
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  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 2346, 42};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_seq1, __pyx_mstate->__pyx_n_u_output_structure};
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 2366, 42};
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    __pyx_mstate_global->__pyx_codeobj_tab[24] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_primer3_thermoanalysis_pyx, __pyx_mstate->__pyx_n_u_calcHairpin, __pyx_k_A_q_2_A_t_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[24])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 2386, 41};
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 2407, 35};
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    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length, length2;
        int kind;
        void *data1, *data2;
        #if !CYTHON_COMPILING_IN_LIMITED_API
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        #endif
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(length < 0)) return -1;
        #endif
        length2 = __Pyx_PyUnicode_GET_LENGTH(s2);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(length2 < 0)) return -1;
        #endif
        if (length != length2) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
            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));
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    return (equals == Py_EQ);
return_ne:
    return (equals == Py_NE);
#endif
}

/* fastcall */
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s)
{
    Py_ssize_t i, n = __Pyx_PyTuple_GET_SIZE(kwnames);
    #if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(n == -1)) return NULL;
    #endif
    for (i = 0; i < n; i++)
    {
        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!namei)) return NULL;
        #endif
        if (s == namei) return kwvalues[i];
    }
    for (i = 0; i < n; i++)
    {
        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!namei)) return NULL;
        #endif
        int eq = __Pyx_PyUnicode_Equals(s, namei, Py_EQ);
        if (unlikely(eq != 0)) {
            if (unlikely(eq < 0)) return NULL;
            return kwvalues[i];
        }
    }
    return NULL;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API
CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues) {
    Py_ssize_t i, nkwargs;
    PyObject *dict;
#if !CYTHON_ASSUME_SAFE_SIZE
    nkwargs = PyTuple_Size(kwnames);
    if (unlikely(nkwargs < 0)) return NULL;
#else
    nkwargs = PyTuple_GET_SIZE(kwnames);
#endif
    dict = PyDict_New();
    if (unlikely(!dict))
        return NULL;
    for (i=0; i<nkwargs; i++) {
#if !CYTHON_ASSUME_SAFE_MACROS
        PyObject *key = PyTuple_GetItem(kwnames, i);
        if (!key) goto bad;
#else
        PyObject *key = PyTuple_GET_ITEM(kwnames, i);
#endif
        if (unlikely(PyDict_SetItem(dict, key, kwvalues[i]) < 0))
            goto bad;
    }
    return dict;
bad:
    Py_DECREF(dict);
    return NULL;
}
#endif
#endif

/* 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_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        if (!PyErr_Occurred())
            PyErr_SetNone(PyExc_NameError);
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
    PyErr_Clear();
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    if (unlikely(__Pyx_PyDict_GetItemRef(__pyx_mstate_global->__pyx_d, name, &result) == -1)) PyErr_Clear();
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return result;
    }
#else
    result = _PyDict_GetItem_KnownHash(__pyx_mstate_global->__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* RaiseUnexpectedTypeError */
static int
__Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj)
{
    __Pyx_TypeName obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError, "Expected %s, got " __Pyx_FMT_TYPENAME,
                 expected, obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return 0;
}

/* PyObjectFastCallMethod */
#if !CYTHON_VECTORCALL || PY_VERSION_HEX < 0x03090000
static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf) {
    PyObject *result;
    PyObject *attr = PyObject_GetAttr(args[0], name);
    if (unlikely(!attr))
        return NULL;
    result = __Pyx_PyObject_FastCall(attr, args+1, nargsf - 1);
    Py_DECREF(attr);
    return result;
}
#endif

/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL && !CYTHON_VECTORCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject *const *args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject *const *args, Py_ssize_t nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
    PyObject *kwdefs;
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object"))) {
        return NULL;
    }
    if (
            co->co_kwonlyargcount == 0 &&
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif

/* PyObjectCall */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = Py_TYPE(func)->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectCallMethO */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = __Pyx_CyOrPyCFunction_GET_FUNCTION(func);
    self = __Pyx_CyOrPyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall(" 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

/* PyObjectFastCall */
#if PY_VERSION_HEX < 0x03090000 || CYTHON_COMPILING_IN_LIMITED_API
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject * const*args, size_t nargs, PyObject *kwargs) {
    PyObject *argstuple;
    PyObject *result = 0;
    size_t i;
    argstuple = PyTuple_New((Py_ssize_t)nargs);
    if (unlikely(!argstuple)) return NULL;
    for (i = 0; i < nargs; i++) {
        Py_INCREF(args[i]);
        if (__Pyx_PyTuple_SET_ITEM(argstuple, (Py_ssize_t)i, args[i]) != (0)) goto bad;
    }
    result = __Pyx_PyObject_Call(func, argstuple, kwargs);
  bad:
    Py_DECREF(argstuple);
    return result;
}
#endif
#if CYTHON_VECTORCALL && !CYTHON_COMPILING_IN_LIMITED_API
  #if PY_VERSION_HEX < 0x03090000
    #define __Pyx_PyVectorcall_Function(callable) _PyVectorcall_Function(callable)
  #elif CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE vectorcallfunc __Pyx_PyVectorcall_Function(PyObject *callable) {
    PyTypeObject *tp = Py_TYPE(callable);
    #if defined(__Pyx_CyFunction_USED)
    if (__Pyx_CyFunction_CheckExact(callable)) {
        return __Pyx_CyFunction_func_vectorcall(callable);
    }
    #endif
    if (!PyType_HasFeature(tp, Py_TPFLAGS_HAVE_VECTORCALL)) {
        return NULL;
    }
    assert(PyCallable_Check(callable));
    Py_ssize_t offset = tp->tp_vectorcall_offset;
    assert(offset > 0);
    vectorcallfunc ptr;
    memcpy(&ptr, (char *) callable + offset, sizeof(ptr));
    return ptr;
}
  #else
    #define __Pyx_PyVectorcall_Function(callable) PyVectorcall_Function(callable)
  #endif
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject *const *args, size_t _nargs, PyObject *kwargs) {
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(_nargs);
#if CYTHON_COMPILING_IN_CPYTHON
    if (nargs == 0 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_NOARGS))
            return __Pyx_PyObject_CallMethO(func, NULL);
    }
    else if (nargs == 1 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_O))
            return __Pyx_PyObject_CallMethO(func, args[0]);
    }
#endif
    #if PY_VERSION_HEX < 0x030800B1
    #if CYTHON_FAST_PYCCALL
    if (PyCFunction_Check(func)) {
        if (kwargs) {
            return _PyCFunction_FastCallDict(func, args, nargs, kwargs);
        } else {
            return _PyCFunction_FastCallKeywords(func, args, nargs, NULL);
        }
    }
    if (!kwargs && __Pyx_IS_TYPE(func, &PyMethodDescr_Type)) {
        return _PyMethodDescr_FastCallKeywords(func, args, nargs, NULL);
    }
    #endif
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs);
    }
    #endif
    #endif
    if (kwargs == NULL) {
        #if CYTHON_VECTORCALL && !CYTHON_COMPILING_IN_LIMITED_API
        vectorcallfunc f = __Pyx_PyVectorcall_Function(func);
        if (f) {
            return f(func, args, _nargs, NULL);
        }
        #elif defined(__Pyx_CyFunction_USED) && CYTHON_BACKPORT_VECTORCALL
        if (__Pyx_CyFunction_CheckExact(func)) {
            __pyx_vectorcallfunc f = __Pyx_CyFunction_func_vectorcall(func);
            if (f) return f(func, args, _nargs, NULL);
        }
        #elif CYTHON_COMPILING_IN_LIMITED_API && CYTHON_VECTORCALL
        return PyObject_Vectorcall(func, args, _nargs, NULL);
        #endif
    }
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_mstate_global->__pyx_empty_tuple, kwargs);
    }
    #if PY_VERSION_HEX >= 0x03090000 && !CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_VectorcallDict(func, args, (size_t)nargs, kwargs);
    #else
    return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs);
    #endif
}

/* RaiseException */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause) {
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if PY_VERSION_HEX >= 0x030C00A6
        PyException_SetTraceback(value, tb);
#elif CYTHON_FAST_THREAD_STATE
        PyThreadState *tstate = __Pyx_PyThreadState_Current;
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#else
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}

/* 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 = NULL, *local_value, *local_tb = NULL;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if PY_VERSION_HEX >= 0x030C0000
    local_value = tstate->current_exception;
    tstate->current_exception = 0;
  #else
    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;
  #endif
#elif __PYX_LIMITED_VERSION_HEX > 0x030C0000
    local_value = PyErr_GetRaisedException();
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
#if __PYX_LIMITED_VERSION_HEX > 0x030C0000
    if (likely(local_value)) {
        local_type = (PyObject*) Py_TYPE(local_value);
        Py_INCREF(local_type);
        local_tb = PyException_GetTraceback(local_value);
    }
#else
    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 (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
#endif // __PYX_LIMITED_VERSION_HEX > 0x030C0000
    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;
      #if PY_VERSION_HEX >= 0x030B00a4
        tmp_value = exc_info->exc_value;
        exc_info->exc_value = local_value;
        tmp_type = NULL;
        tmp_tb = NULL;
        Py_XDECREF(local_type);
        Py_XDECREF(local_tb);
      #else
        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;
      #endif
    }
    #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);
#elif __PYX_LIMITED_VERSION_HEX >= 0x030b0000
    PyErr_SetHandledException(local_value);
    Py_XDECREF(local_value);
    Py_XDECREF(local_type);
    Py_XDECREF(local_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
#if __PYX_LIMITED_VERSION_HEX <= 0x030C0000
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
#endif
}

/* SwapException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_value = exc_info->exc_value;
    exc_info->exc_value = *value;
    if (tmp_value == NULL || tmp_value == Py_None) {
        Py_XDECREF(tmp_value);
        tmp_value = NULL;
        tmp_type = NULL;
        tmp_tb = NULL;
    } else {
        tmp_type = (PyObject*) Py_TYPE(tmp_value);
        Py_INCREF(tmp_type);
        #if CYTHON_COMPILING_IN_CPYTHON
        tmp_tb = ((PyBaseExceptionObject*) tmp_value)->traceback;
        Py_XINCREF(tmp_tb);
        #else
        tmp_tb = PyException_GetTraceback(tmp_value);
        #endif
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
  #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
  #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* GetTopmostException */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_value == NULL || exc_info->exc_value == 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 && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    PyObject *exc_value = exc_info->exc_value;
    if (exc_value == NULL || exc_value == Py_None) {
        *value = NULL;
        *type = NULL;
        *tb = NULL;
    } else {
        *value = exc_value;
        Py_INCREF(*value);
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        *tb = PyException_GetTraceback(exc_value);
    }
  #elif 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;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #endif
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    PyObject *tmp_value = exc_info->exc_value;
    exc_info->exc_value = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
  #else
    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
}
#endif

/* RaiseDoubleKeywords */
static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
}

/* UnpackUnboundCMethod */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *args, PyObject *kwargs) {
    PyObject *result;
    PyObject *selfless_args = PyTuple_GetSlice(args, 1, PyTuple_Size(args));
    if (unlikely(!selfless_args)) return NULL;
    result = PyObject_Call(method, selfless_args, kwargs);
    Py_DECREF(selfless_args);
    return result;
}
#elif CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03090000
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject **args, Py_ssize_t nargs, PyObject *kwnames) {
        return _PyObject_Vectorcall
            (method, args ? args+1 : NULL, nargs ? nargs-1 : 0, kwnames);
}
#else
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames) {
    return
#if PY_VERSION_HEX < 0x03090000
    _PyObject_Vectorcall
#else
    PyObject_Vectorcall
#endif
        (method, args ? args+1 : NULL, nargs ? (size_t) nargs-1 : 0, kwnames);
}
#endif
static PyMethodDef __Pyx_UnboundCMethod_Def = {
     "CythonUnboundCMethod",
     __PYX_REINTERPRET_FUNCION(PyCFunction, __Pyx_SelflessCall),
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000
     METH_VARARGS | METH_KEYWORDS,
#else
     METH_FASTCALL | METH_KEYWORDS,
#endif
     NULL
};
static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) {
    PyObject *method, *result=NULL;
    method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name);
    if (unlikely(!method))
        return -1;
    result = method;
#if CYTHON_COMPILING_IN_CPYTHON
    if (likely(__Pyx_TypeCheck(method, &PyMethodDescr_Type)))
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;
        target->func = descr->d_method->ml_meth;
        target->flag = descr->d_method->ml_flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_STACKLESS);
    } else
#endif
#if CYTHON_COMPILING_IN_PYPY
#else
    if (PyCFunction_Check(method))
#endif
    {
        PyObject *self;
        int self_found;
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        self = PyObject_GetAttrString(method, "__self__");
        if (!self) {
            PyErr_Clear();
        }
#else
        self = PyCFunction_GET_SELF(method);
#endif
        self_found = (self && self != Py_None);
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        Py_XDECREF(self);
#endif
        if (self_found) {
            PyObject *unbound_method = PyCFunction_New(&__Pyx_UnboundCMethod_Def, method);
            if (unlikely(!unbound_method)) return -1;
            Py_DECREF(method);
            result = unbound_method;
        }
    }
#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    if (unlikely(target->method)) {
        Py_DECREF(result);
    } else
#endif
    target->method = result;
    return 0;
}

/* CallUnboundCMethod2 */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2) {
    int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc);
    if (likely(was_initialized == 2 && cfunc->func)) {
        PyObject *args[2] = {arg1, arg2};
        if (cfunc->flag == METH_FASTCALL) {
            return __Pyx_CallCFunctionFast(cfunc, self, args, 2);
        }
        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))
            return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, 2, NULL);
    }
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    else if (unlikely(was_initialized == 1)) {
        __Pyx_CachedCFunction tmp_cfunc = {
#ifndef __cplusplus
            0
#endif
        };
        tmp_cfunc.type = cfunc->type;
        tmp_cfunc.method_name = cfunc->method_name;
        return __Pyx__CallUnboundCMethod2(&tmp_cfunc, self, arg1, arg2);
    }
#endif
    PyObject *result = __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2);
    __Pyx_CachedCFunction_SetFinishedInitializing(cfunc);
    return result;
}
#endif
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2){
    if (unlikely(!cfunc->func && !cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_COMPILING_IN_CPYTHON
    if (cfunc->func && (cfunc->flag & METH_VARARGS)) {
        PyObject *result = NULL;
        PyObject *args = PyTuple_New(2);
        if (unlikely(!args)) return NULL;
        Py_INCREF(arg1);
        PyTuple_SET_ITEM(args, 0, arg1);
        Py_INCREF(arg2);
        PyTuple_SET_ITEM(args, 1, arg2);
        if (cfunc->flag & METH_KEYWORDS)
            result = __Pyx_CallCFunctionWithKeywords(cfunc, self, args, NULL);
        else
            result = __Pyx_CallCFunction(cfunc, self, args);
        Py_DECREF(args);
        return result;
    }
#endif
    {
        PyObject *args[4] = {NULL, self, arg1, arg2};
        return __Pyx_PyObject_FastCall(cfunc->method, args+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
    }
}

/* ParseKeywords */
static int __Pyx_ValidateDuplicatePosArgs(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char* function_name)
{
    PyObject ** const *name = argnames;
    while (name != first_kw_arg) {
        PyObject *key = **name;
        int found = PyDict_Contains(kwds, key);
        if (unlikely(found)) {
            if (found == 1) __Pyx_RaiseDoubleKeywordsError(function_name, key);
            goto bad;
        }
        name++;
    }
    return 0;
bad:
    return -1;
}
#if CYTHON_USE_UNICODE_INTERNALS
static CYTHON_INLINE int __Pyx_UnicodeKeywordsEqual(PyObject *s1, PyObject *s2) {
    int kind;
    Py_ssize_t len = PyUnicode_GET_LENGTH(s1);
    if (len != PyUnicode_GET_LENGTH(s2)) return 0;
    kind = PyUnicode_KIND(s1);
    if (kind != PyUnicode_KIND(s2)) return 0;
    const void *data1 = PyUnicode_DATA(s1);
    const void *data2 = PyUnicode_DATA(s2);
    return (memcmp(data1, data2, (size_t) len * (size_t) kind) == 0);
}
#endif
static int __Pyx_MatchKeywordArg_str(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    #if CYTHON_USE_UNICODE_INTERNALS
    Py_hash_t key_hash = ((PyASCIIObject*)key)->hash;
    if (unlikely(key_hash == -1)) {
        key_hash = PyObject_Hash(key);
        if (unlikely(key_hash == -1))
            goto bad;
    }
    #endif
    name = first_kw_arg;
    while (*name) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (key_hash == ((PyASCIIObject*)name_str)->hash && __Pyx_UnicodeKeywordsEqual(name_str, key)) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) {
                *index_found = (size_t) (name - argnames);
                return 1;
            }
        }
        #endif
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (unlikely(key_hash == ((PyASCIIObject*)name_str)->hash)) {
            if (__Pyx_UnicodeKeywordsEqual(name_str, key))
                goto arg_passed_twice;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            if (unlikely(name_str == key)) goto arg_passed_twice;
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) goto arg_passed_twice;
        }
        #endif
        name++;
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
bad:
    return -1;
}
static int __Pyx_MatchKeywordArg_nostr(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    if (unlikely(!PyUnicode_Check(key))) goto invalid_keyword_type;
    name = first_kw_arg;
    while (*name) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (cmp == 1) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        if (unlikely(cmp == -1)) goto bad;
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (unlikely(cmp != 0)) {
            if (cmp == 1) goto arg_passed_twice;
            else goto bad;
        }
        name++;
    }
    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;
bad:
    return -1;
}
static CYTHON_INLINE int __Pyx_MatchKeywordArg(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    return likely(PyUnicode_CheckExact(key)) ?
        __Pyx_MatchKeywordArg_str(key, argnames, first_kw_arg, index_found, function_name) :
        __Pyx_MatchKeywordArg_nostr(key, argnames, first_kw_arg, index_found, function_name);
}
static void __Pyx_RejectUnknownKeyword(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char *function_name)
{
    Py_ssize_t pos = 0;
    PyObject *key = NULL;
    __Pyx_BEGIN_CRITICAL_SECTION(kwds);
    while (PyDict_Next(kwds, &pos, &key, NULL)) {
        PyObject** const *name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (!*name) {
            #if CYTHON_AVOID_BORROWED_REFS
            Py_INCREF(key);
            #endif
            size_t index_found = 0;
            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);
            if (cmp != 1) {
                if (cmp == 0) {
                    PyErr_Format(PyExc_TypeError,
                        "%s() got an unexpected keyword argument '%U'",
                        function_name, key);
                }
                #if CYTHON_AVOID_BORROWED_REFS
                Py_DECREF(key);
                #endif
                break;
            }
            #if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(key);
            #endif
        }
    }
    __Pyx_END_CRITICAL_SECTION();
    assert(PyErr_Occurred());
}
static int __Pyx_ParseKeywordDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    PyObject** const *name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    Py_ssize_t extracted = 0;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;
#endif
    name = first_kw_arg;
    while (*name && num_kwargs > extracted) {
        PyObject * key = **name;
        PyObject *value;
        int found = 0;
        #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
        found = PyDict_GetItemRef(kwds, key, &value);
        #else
        value = PyDict_GetItemWithError(kwds, key);
        if (value) {
            Py_INCREF(value);
            found = 1;
        } else {
            if (unlikely(PyErr_Occurred())) goto bad;
        }
        #endif
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
            extracted++;
        }
        name++;
    }
    if (num_kwargs > extracted) {
        if (ignore_unknown_kwargs) {
            if (unlikely(__Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name) == -1))
                goto bad;
        } else {
            __Pyx_RejectUnknownKeyword(kwds, argnames, first_kw_arg, function_name);
            goto bad;
        }
    }
    return 0;
bad:
    return -1;
}
static int __Pyx_ParseKeywordDictToDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject** const *name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    Py_ssize_t len;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;
#endif
    if (PyDict_Update(kwds2, kwds) < 0) goto bad;
    name = first_kw_arg;
    while (*name) {
        PyObject *key = **name;
        PyObject *value;
#if !CYTHON_COMPILING_IN_LIMITED_API && (PY_VERSION_HEX >= 0x030d00A2 || defined(PyDict_Pop))
        int found = PyDict_Pop(kwds2, key, &value);
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
        }
#elif __PYX_LIMITED_VERSION_HEX >= 0x030d0000
        int found = PyDict_GetItemRef(kwds2, key, &value);
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
            if (unlikely(PyDict_DelItem(kwds2, key) < 0)) goto bad;
        }
#else
    #if CYTHON_COMPILING_IN_CPYTHON
        value = _PyDict_Pop(kwds2, key, kwds2);
    #else
        value = __Pyx_CallUnboundCMethod2(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_pop, kwds2, key, kwds2);
    #endif
        if (value == kwds2) {
            Py_DECREF(value);
        } else {
            if (unlikely(!value)) goto bad;
            values[name-argnames] = value;
        }
#endif
        name++;
    }
    len = PyDict_Size(kwds2);
    if (len > 0) {
        return __Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name);
    } else if (unlikely(len == -1)) {
        goto bad;
    }
    return 0;
bad:
    return -1;
}
static int __Pyx_ParseKeywordsTuple(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    PyObject *key = NULL;
    PyObject** const * name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    for (Py_ssize_t pos = 0; pos < num_kwargs; pos++) {
#if CYTHON_AVOID_BORROWED_REFS
        key = __Pyx_PySequence_ITEM(kwds, pos);
#else
        key = __Pyx_PyTuple_GET_ITEM(kwds, pos);
#endif
#if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!key)) goto bad;
#endif
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            PyObject *value = kwvalues[pos];
            values[name-argnames] = __Pyx_NewRef(value);
        } else {
            size_t index_found = 0;
            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);
            if (cmp == 1) {
                PyObject *value = kwvalues[pos];
                values[index_found] = __Pyx_NewRef(value);
            } else {
                if (unlikely(cmp == -1)) goto bad;
                if (kwds2) {
                    PyObject *value = kwvalues[pos];
                    if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
                } else if (!ignore_unknown_kwargs) {
                    goto invalid_keyword;
                }
            }
        }
        #if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(key);
        key = NULL;
        #endif
    }
    return 0;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    goto bad;
bad:
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(key);
    #endif
    return -1;
}
static int __Pyx_ParseKeywords(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds)))
        return __Pyx_ParseKeywordsTuple(kwds, kwvalues, argnames, kwds2, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);
    else if (kwds2)
        return __Pyx_ParseKeywordDictToDict(kwds, argnames, kwds2, values, num_pos_args, function_name);
    else
        return __Pyx_ParseKeywordDict(kwds, argnames, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);
}

/* 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);
}

/* RejectKeywords */
static void __Pyx_RejectKeywords(const char* function_name, PyObject *kwds) {
    PyObject *key = NULL;
    if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds))) {
        key = __Pyx_PySequence_ITEM(kwds, 0);
    } else {
        Py_ssize_t pos = 0;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
        if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return;
#endif
        PyDict_Next(kwds, &pos, &key, NULL);
        Py_INCREF(key);
    }
    if (likely(key)) {
        PyErr_Format(PyExc_TypeError,
            "%s() got an unexpected keyword argument '%U'",
            function_name, key);
        Py_DECREF(key);
    }
}

/* PyObjectFormat */
#if CYTHON_USE_UNICODE_WRITER
static PyObject* __Pyx_PyObject_Format(PyObject* obj, PyObject* format_spec) {
    int ret;
    _PyUnicodeWriter writer;
    if (likely(PyFloat_CheckExact(obj))) {
        _PyUnicodeWriter_Init(&writer);
        ret = _PyFloat_FormatAdvancedWriter(
            &writer,
            obj,
            format_spec, 0, PyUnicode_GET_LENGTH(format_spec));
    } else if (likely(PyLong_CheckExact(obj))) {
        _PyUnicodeWriter_Init(&writer);
        ret = _PyLong_FormatAdvancedWriter(
            &writer,
            obj,
            format_spec, 0, PyUnicode_GET_LENGTH(format_spec));
    } else {
        return PyObject_Format(obj, format_spec);
    }
    if (unlikely(ret == -1)) {
        _PyUnicodeWriter_Dealloc(&writer);
        return NULL;
    }
    return _PyUnicodeWriter_Finish(&writer);
}
#endif

/* JoinPyUnicode */
static PyObject* __Pyx_PyUnicode_Join(PyObject** values, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      Py_UCS4 max_char) {
#if CYTHON_USE_UNICODE_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    PyObject *result_uval;
    int result_ukind, kind_shift;
    Py_ssize_t i, char_pos;
    void *result_udata;
    if (max_char > 1114111) max_char = 1114111;
    result_uval = PyUnicode_New(result_ulength, max_char);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = (max_char <= 255) ? PyUnicode_1BYTE_KIND : (max_char <= 65535) ? PyUnicode_2BYTE_KIND : PyUnicode_4BYTE_KIND;
    kind_shift = (result_ukind == PyUnicode_4BYTE_KIND) ? 2 : result_ukind - 1;
    result_udata = PyUnicode_DATA(result_uval);
    assert(kind_shift == 2 || kind_shift == 1 || kind_shift == 0);
    if (unlikely((PY_SSIZE_T_MAX >> kind_shift) - result_ulength < 0))
        goto overflow;
    char_pos = 0;
    for (i=0; i < value_count; i++) {
        int ukind;
        Py_ssize_t ulength;
        void *udata;
        PyObject *uval = values[i];
        #if !CYTHON_COMPILING_IN_LIMITED_API
        if (__Pyx_PyUnicode_READY(uval) == (-1))
            goto bad;
        #endif
        ulength = __Pyx_PyUnicode_GET_LENGTH(uval);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(ulength < 0)) goto bad;
        #endif
        if (unlikely(!ulength))
            continue;
        if (unlikely((PY_SSIZE_T_MAX >> kind_shift) - ulength < char_pos))
            goto overflow;
        ukind = __Pyx_PyUnicode_KIND(uval);
        udata = __Pyx_PyUnicode_DATA(uval);
        if (ukind == result_ukind) {
            memcpy((char *)result_udata + (char_pos << kind_shift), udata, (size_t) (ulength << kind_shift));
        } else {
            #if PY_VERSION_HEX >= 0x030d0000
            if (unlikely(PyUnicode_CopyCharacters(result_uval, char_pos, uval, 0, ulength) < 0)) goto bad;
            #elif CYTHON_COMPILING_IN_CPYTHON || defined(_PyUnicode_FastCopyCharacters)
            _PyUnicode_FastCopyCharacters(result_uval, char_pos, uval, 0, ulength);
            #else
            Py_ssize_t j;
            for (j=0; j < ulength; j++) {
                Py_UCS4 uchar = __Pyx_PyUnicode_READ(ukind, udata, j);
                __Pyx_PyUnicode_WRITE(result_ukind, result_udata, char_pos+j, uchar);
            }
            #endif
        }
        char_pos += ulength;
    }
    return result_uval;
overflow:
    PyErr_SetString(PyExc_OverflowError, "join() result is too long for a Python string");
bad:
    Py_DECREF(result_uval);
    return NULL;
#else
    Py_ssize_t i;
    PyObject *result = NULL;
    PyObject *value_tuple = PyTuple_New(value_count);
    if (unlikely(!value_tuple)) return NULL;
    CYTHON_UNUSED_VAR(max_char);
    CYTHON_UNUSED_VAR(result_ulength);
    for (i=0; i<value_count; i++) {
        if (__Pyx_PyTuple_SET_ITEM(value_tuple, i, values[i]) != (0)) goto bad;
        Py_INCREF(values[i]);
    }
    result = PyUnicode_Join(__pyx_mstate_global->__pyx_empty_unicode, value_tuple);
bad:
    Py_DECREF(value_tuple);
    return result;
#endif
}

/* ArgTypeTest */
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    __Pyx_TypeName type_name;
    __Pyx_TypeName obj_type_name;
    PyObject *extra_info = __pyx_mstate_global->__pyx_empty_unicode;
    int from_annotation_subclass = 0;
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    else if (!exact) {
        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
    } else if (exact == 2) {
        if (__Pyx_TypeCheck(obj, type)) {
            from_annotation_subclass = 1;
            extra_info = __pyx_mstate_global->__pyx_kp_u_Note_that_Cython_is_deliberately;
        }
    }
    type_name = __Pyx_PyType_GetFullyQualifiedName(type);
    obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected " __Pyx_FMT_TYPENAME
        ", got " __Pyx_FMT_TYPENAME ")"
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
        "%s%U"
#endif
        , name, type_name, obj_type_name
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
        , (from_annotation_subclass ? ". " : ""), extra_info
#endif
        );
#if __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    if (exact == 2 && from_annotation_subclass) {
        PyObject *res;
        PyObject *vargs[2];
        vargs[0] = PyErr_GetRaisedException();
        vargs[1] = extra_info;
        res = PyObject_VectorcallMethod(__pyx_mstate_global->__pyx_kp_u_add_note, vargs, 2, NULL);
        Py_XDECREF(res);
        PyErr_SetRaisedException(vargs[0]);
    }
#endif
    __Pyx_DECREF_TypeName(type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return 0;
}

/* DictGetItem */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    if (unlikely(__Pyx_PyDict_GetItemRef(d, key, &value) == 0)) { // no value, no error
        if (unlikely(PyTuple_Check(key))) {
            PyObject* args = PyTuple_Pack(1, key);
            if (likely(args)) {
                PyErr_SetObject(PyExc_KeyError, args);
                Py_DECREF(args);
            }
        } else {
            PyErr_SetObject(PyExc_KeyError, key);
        }
    }
    return value;
}
#endif

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

/* IterFinish */
static CYTHON_INLINE int __Pyx_IterFinish(void) {
    PyObject* exc_type;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    exc_type = __Pyx_PyErr_CurrentExceptionType();
    if (unlikely(exc_type)) {
        if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)))
            return -1;
        __Pyx_PyErr_Clear();
        return 0;
    }
    return 0;
}

/* PyObjectCallNoArg */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
    PyObject *arg[2] = {NULL, NULL};
    return __Pyx_PyObject_FastCall(func, arg + 1, 0 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* PyObjectCallOneArg */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *args[2] = {NULL, arg};
    return __Pyx_PyObject_FastCall(func, args+1, 1 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* PyObjectGetMethod */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
    PyObject *attr;
#if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
    __Pyx_TypeName type_name;
    PyTypeObject *tp = Py_TYPE(obj);
    PyObject *descr;
    descrgetfunc f = NULL;
    PyObject **dictptr, *dict;
    int meth_found = 0;
    assert (*method == NULL);
    if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
        attr = __Pyx_PyObject_GetAttrStr(obj, name);
        goto try_unpack;
    }
    if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
        return 0;
    }
    descr = _PyType_Lookup(tp, name);
    if (likely(descr != NULL)) {
        Py_INCREF(descr);
#if defined(Py_TPFLAGS_METHOD_DESCRIPTOR) && Py_TPFLAGS_METHOD_DESCRIPTOR
        if (__Pyx_PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_METHOD_DESCRIPTOR))
#else
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type)))
        #endif
#endif
        {
            meth_found = 1;
        } else {
            f = Py_TYPE(descr)->tp_descr_get;
            if (f != NULL && PyDescr_IsData(descr)) {
                attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                Py_DECREF(descr);
                goto try_unpack;
            }
        }
    }
    dictptr = _PyObject_GetDictPtr(obj);
    if (dictptr != NULL && (dict = *dictptr) != NULL) {
        Py_INCREF(dict);
        attr = __Pyx_PyDict_GetItemStr(dict, name);
        if (attr != NULL) {
            Py_INCREF(attr);
            Py_DECREF(dict);
            Py_XDECREF(descr);
            goto try_unpack;
        }
        Py_DECREF(dict);
    }
    if (meth_found) {
        *method = descr;
        return 1;
    }
    if (f != NULL) {
        attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
        Py_DECREF(descr);
        goto try_unpack;
    }
    if (likely(descr != NULL)) {
        *method = descr;
        return 0;
    }
    type_name = __Pyx_PyType_GetFullyQualifiedName(tp);
    PyErr_Format(PyExc_AttributeError,
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                 type_name, name);
    __Pyx_DECREF_TypeName(type_name);
    return 0;
#else
    attr = __Pyx_PyObject_GetAttrStr(obj, name);
    goto try_unpack;
#endif
try_unpack:
#if CYTHON_UNPACK_METHODS
    if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
        PyObject *function = PyMethod_GET_FUNCTION(attr);
        Py_INCREF(function);
        Py_DECREF(attr);
        *method = function;
        return 1;
    }
#endif
    *method = attr;
    return 0;
}

/* PyObjectCallMethod0 */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
    PyObject *method = NULL, *result = NULL;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_CallOneArg(method, obj);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) goto bad;
    result = __Pyx_PyObject_CallNoArg(method);
    Py_DECREF(method);
bad:
    return result;
}

/* 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");
}

/* 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);
}

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

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

/* UnpackTupleError */
static void __Pyx_UnpackTupleError(PyObject *t, Py_ssize_t index) {
    if (t == Py_None) {
      __Pyx_RaiseNoneNotIterableError();
    } else {
      Py_ssize_t size = __Pyx_PyTuple_GET_SIZE(t);
 #if !CYTHON_ASSUME_SAFE_SIZE
      if (unlikely(size < 0)) return;
 #endif
      if (size < index) {
        __Pyx_RaiseNeedMoreValuesError(size);
      } else {
        __Pyx_RaiseTooManyValuesError(index);
      }
    }
}

/* UnpackTuple2 */
static CYTHON_INLINE int __Pyx_unpack_tuple2(
        PyObject* tuple, PyObject** value1, PyObject** value2, int is_tuple, int has_known_size, int decref_tuple) {
    if (likely(is_tuple || PyTuple_Check(tuple))) {
        Py_ssize_t size;
        if (has_known_size) {
            return __Pyx_unpack_tuple2_exact(tuple, value1, value2, decref_tuple);
        }
        size = __Pyx_PyTuple_GET_SIZE(tuple);
        if (likely(size == 2)) {
            return __Pyx_unpack_tuple2_exact(tuple, value1, value2, decref_tuple);
        }
        if (size >= 0) {
            __Pyx_UnpackTupleError(tuple, 2);
        }
        return -1;
    } else {
        return __Pyx_unpack_tuple2_generic(tuple, value1, value2, has_known_size, decref_tuple);
    }
}
static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
        PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2, int decref_tuple) {
    PyObject *value1 = NULL, *value2 = NULL;
#if CYTHON_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
    value1 = __Pyx_PySequence_ITEM(tuple, 0);  if (unlikely(!value1)) goto bad;
    value2 = __Pyx_PySequence_ITEM(tuple, 1);  if (unlikely(!value2)) goto bad;
#else
    value1 = PyTuple_GET_ITEM(tuple, 0);  Py_INCREF(value1);
    value2 = PyTuple_GET_ITEM(tuple, 1);  Py_INCREF(value2);
#endif
    if (decref_tuple) {
        Py_DECREF(tuple);
    }
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
#if CYTHON_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
bad:
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
#endif
}
static int __Pyx_unpack_tuple2_generic(PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2,
                                       int has_known_size, int decref_tuple) {
    Py_ssize_t index;
    PyObject *value1 = NULL, *value2 = NULL, *iter = NULL;
    iternextfunc iternext;
    iter = PyObject_GetIter(tuple);
    if (unlikely(!iter)) goto bad;
    if (decref_tuple) { Py_DECREF(tuple); tuple = NULL; }
    iternext = __Pyx_PyObject_GetIterNextFunc(iter);
    value1 = iternext(iter); if (unlikely(!value1)) { index = 0; goto unpacking_failed; }
    value2 = iternext(iter); if (unlikely(!value2)) { index = 1; goto unpacking_failed; }
    if (!has_known_size && unlikely(__Pyx_IternextUnpackEndCheck(iternext(iter), 2))) goto bad;
    Py_DECREF(iter);
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
unpacking_failed:
    if (!has_known_size && __Pyx_IterFinish() == 0)
        __Pyx_RaiseNeedMoreValuesError(index);
bad:
    Py_XDECREF(iter);
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
}

/* dict_iter */
#if CYTHON_COMPILING_IN_PYPY
#include <string.h>
#endif
static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* iterable, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_source_is_dict) {
    is_dict = is_dict || likely(PyDict_CheckExact(iterable));
    *p_source_is_dict = is_dict;
    if (is_dict) {
#if !CYTHON_COMPILING_IN_PYPY
        *p_orig_length = PyDict_Size(iterable);
        Py_INCREF(iterable);
        return iterable;
#else
        static PyObject *py_items = NULL, *py_keys = NULL, *py_values = NULL;
        PyObject **pp = NULL;
        if (method_name) {
            const char *name = PyUnicode_AsUTF8(method_name);
            if (strcmp(name, "iteritems") == 0) pp = &py_items;
            else if (strcmp(name, "iterkeys") == 0) pp = &py_keys;
            else if (strcmp(name, "itervalues") == 0) pp = &py_values;
            if (pp) {
                if (!*pp) {
                    *pp = PyUnicode_FromString(name + 4);
                    if (!*pp)
                        return NULL;
                }
                method_name = *pp;
            }
        }
#endif
    }
    *p_orig_length = 0;
    if (method_name) {
        PyObject* iter;
        iterable = __Pyx_PyObject_CallMethod0(iterable, method_name);
        if (!iterable)
            return NULL;
#if !CYTHON_COMPILING_IN_PYPY
        if (PyTuple_CheckExact(iterable) || PyList_CheckExact(iterable))
            return iterable;
#endif
        iter = PyObject_GetIter(iterable);
        Py_DECREF(iterable);
        return iter;
    }
    return PyObject_GetIter(iterable);
}
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE int __Pyx_dict_iter_next_source_is_dict(
        PyObject* iter_obj, CYTHON_NCP_UNUSED Py_ssize_t orig_length, CYTHON_NCP_UNUSED Py_ssize_t* ppos,
        PyObject** pkey, PyObject** pvalue, PyObject** pitem) {
    PyObject *key, *value;
    if (unlikely(orig_length != PyDict_Size(iter_obj))) {
        PyErr_SetString(PyExc_RuntimeError, "dictionary changed size during iteration");
        return -1;
    }
    if (unlikely(!PyDict_Next(iter_obj, ppos, &key, &value))) {
        return 0;
    }
    if (pitem) {
        PyObject* tuple = PyTuple_New(2);
        if (unlikely(!tuple)) {
            return -1;
        }
        Py_INCREF(key);
        Py_INCREF(value);
        #if CYTHON_ASSUME_SAFE_MACROS
        PyTuple_SET_ITEM(tuple, 0, key);
        PyTuple_SET_ITEM(tuple, 1, value);
        #else
        if (unlikely(PyTuple_SetItem(tuple, 0, key) < 0)) {
            Py_DECREF(value);
            Py_DECREF(tuple);
            return -1;
        }
        if (unlikely(PyTuple_SetItem(tuple, 1, value) < 0)) {
            Py_DECREF(tuple);
            return -1;
        }
        #endif
        *pitem = tuple;
    } else {
        if (pkey) {
            Py_INCREF(key);
            *pkey = key;
        }
        if (pvalue) {
            Py_INCREF(value);
            *pvalue = value;
        }
    }
    return 1;
}
#endif
static CYTHON_INLINE int __Pyx_dict_iter_next(
        PyObject* iter_obj, CYTHON_NCP_UNUSED Py_ssize_t orig_length, CYTHON_NCP_UNUSED Py_ssize_t* ppos,
        PyObject** pkey, PyObject** pvalue, PyObject** pitem, int source_is_dict) {
    PyObject* next_item;
#if !CYTHON_COMPILING_IN_PYPY
    if (source_is_dict) {
        int result;
#if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
        Py_BEGIN_CRITICAL_SECTION(iter_obj);
#endif
        result = __Pyx_dict_iter_next_source_is_dict(iter_obj, orig_length, ppos, pkey, pvalue, pitem);
#if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
        Py_END_CRITICAL_SECTION();
#endif
        return result;
    } else if (PyTuple_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        Py_ssize_t tuple_size = __Pyx_PyTuple_GET_SIZE(iter_obj);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(tuple_size < 0)) return -1;
        #endif
        if (unlikely(pos >= tuple_size)) return 0;
        *ppos = pos + 1;
        #if CYTHON_ASSUME_SAFE_MACROS
        next_item = PyTuple_GET_ITEM(iter_obj, pos);
        #else
        next_item = PyTuple_GetItem(iter_obj, pos);
        if (unlikely(!next_item)) return -1;
        #endif
        Py_INCREF(next_item);
    } else if (PyList_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        Py_ssize_t list_size = __Pyx_PyList_GET_SIZE(iter_obj);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(list_size < 0)) return -1;
        #endif
        if (unlikely(pos >= list_size)) return 0;
        *ppos = pos + 1;
        #if CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
        next_item = PyList_GetItemRef(iter_obj, pos);
        if (unlikely(!next_item)) return -1;
        #elif CYTHON_ASSUME_SAFE_MACROS
        next_item = PyList_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
        #else
        next_item = PyList_GetItem(iter_obj, pos);
        if (unlikely(!next_item)) return -1;
        Py_INCREF(next_item);
        #endif
    } else
#endif
    {
        next_item = PyIter_Next(iter_obj);
        if (unlikely(!next_item)) {
            return __Pyx_IterFinish();
        }
    }
    if (pitem) {
        *pitem = next_item;
    } else if (pkey && pvalue) {
        if (__Pyx_unpack_tuple2(next_item, pkey, pvalue, source_is_dict, source_is_dict, 1))
            return -1;
    } else if (pkey) {
        *pkey = next_item;
    } else {
        *pvalue = next_item;
    }
    return 1;
}

/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_AddObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a, result;
    CYTHON_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    if (likely(PyFloat_CheckExact(op1))) {
        a = __Pyx_PyFloat_AS_DOUBLE(op1);
        
    } else
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsZero(op1)) {
            a = 0.0;
            
        } else if (__Pyx_PyLong_IsCompact(op1)) {
            a = (double) __Pyx_PyLong_CompactValue(op1);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op1);
            switch (size) {
                case -2:
                case 2:
                    if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                        a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -2)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                case 3:
                    if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -3)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                case 4:
                    if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -4)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                default:
        #endif
                    a = PyLong_AsDouble(op1);
                    if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
        #if CYTHON_USE_PYLONG_INTERNALS
            }
        }
        #endif
    } else {
        return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
    }
        result = a + b;
        return PyFloat_FromDouble(result);
}
#endif

/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (unlikely(!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_ASSUME_SAFE_SIZE && !CYTHON_AVOID_BORROWED_REFS && !CYTHON_AVOID_THREAD_UNSAFE_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, PyLong_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_ASSUME_SAFE_SIZE && !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, PyLong_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_ASSUME_SAFE_SIZE && !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))))) {
            return __Pyx_PyList_GetItemRef(o, n);
        }
    }
    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 {
        PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
        PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
        if (mm && mm->mp_subscript) {
            PyObject *r, *key = PyLong_FromSsize_t(i);
            if (unlikely(!key)) return NULL;
            r = mm->mp_subscript(o, key);
            Py_DECREF(key);
            return r;
        }
        if (likely(sm && sm->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(sm->sq_length)) {
                Py_ssize_t l = sm->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return sm->sq_item(o, i);
        }
    }
#else
    if (is_list || !PyMapping_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyLong_FromSsize_t(i));
}

/* pybytes_as_double */
static double __Pyx_SlowPyString_AsDouble(PyObject *obj) {
    PyObject *float_value = PyFloat_FromString(obj);
    if (likely(float_value)) {
        double value = __Pyx_PyFloat_AS_DOUBLE(float_value);
        Py_DECREF(float_value);
        return value;
    }
    return (double)-1;
}
static const char* __Pyx__PyBytes_AsDouble_Copy(const char* start, char* buffer, Py_ssize_t length) {
    int last_was_punctuation = 1;
    int parse_error_found = 0;
    Py_ssize_t i;
    for (i=0; i < length; i++) {
        char chr = start[i];
        int is_punctuation = (chr == '_') | (chr == '.') | (chr == 'e') | (chr == 'E');
        *buffer = chr;
        buffer += (chr != '_');
        parse_error_found |= last_was_punctuation & is_punctuation;
        last_was_punctuation = is_punctuation;
    }
    parse_error_found |= last_was_punctuation;
    *buffer = '\0';
    return unlikely(parse_error_found) ? NULL : buffer;
}
static double __Pyx__PyBytes_AsDouble_inf_nan(const char* start, Py_ssize_t length) {
    int matches = 1;
    char sign = start[0];
    int is_signed = (sign == '+') | (sign == '-');
    start += is_signed;
    length -= is_signed;
    switch (start[0]) {
        #ifdef Py_NAN
        case 'n':
        case 'N':
            if (unlikely(length != 3)) goto parse_failure;
            matches &= (start[1] == 'a' || start[1] == 'A');
            matches &= (start[2] == 'n' || start[2] == 'N');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_NAN : Py_NAN;
        #endif
        case 'i':
        case 'I':
            if (unlikely(length < 3)) goto parse_failure;
            matches &= (start[1] == 'n' || start[1] == 'N');
            matches &= (start[2] == 'f' || start[2] == 'F');
            if (likely(length == 3 && matches))
                return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
            if (unlikely(length != 8)) goto parse_failure;
            matches &= (start[3] == 'i' || start[3] == 'I');
            matches &= (start[4] == 'n' || start[4] == 'N');
            matches &= (start[5] == 'i' || start[5] == 'I');
            matches &= (start[6] == 't' || start[6] == 'T');
            matches &= (start[7] == 'y' || start[7] == 'Y');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
        case '.': case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9':
            break;
        default:
            goto parse_failure;
    }
    return 0.0;
parse_failure:
    return -1.0;
}
static CYTHON_INLINE int __Pyx__PyBytes_AsDouble_IsSpace(char ch) {
    return (ch == 0x20) | !((ch < 0x9) | (ch > 0xd));
}
CYTHON_UNUSED static double __Pyx__PyBytes_AsDouble(PyObject *obj, const char* start, Py_ssize_t length) {
    double value;
    Py_ssize_t i, digits;
    const char *last = start + length;
    char *end;
    while (__Pyx__PyBytes_AsDouble_IsSpace(*start))
        start++;
    while (start < last - 1 && __Pyx__PyBytes_AsDouble_IsSpace(last[-1]))
        last--;
    length = last - start;
    if (unlikely(length <= 0)) goto fallback;
    value = __Pyx__PyBytes_AsDouble_inf_nan(start, length);
    if (unlikely(value == -1.0)) goto fallback;
    if (value != 0.0) return value;
    digits = 0;
    for (i=0; i < length; digits += start[i++] != '_');
    if (likely(digits == length)) {
        value = PyOS_string_to_double(start, &end, NULL);
    } else if (digits < 40) {
        char number[40];
        last = __Pyx__PyBytes_AsDouble_Copy(start, number, length);
        if (unlikely(!last)) goto fallback;
        value = PyOS_string_to_double(number, &end, NULL);
    } else {
        char *number = (char*) PyMem_Malloc((digits + 1) * sizeof(char));
        if (unlikely(!number)) goto fallback;
        last = __Pyx__PyBytes_AsDouble_Copy(start, number, length);
        if (unlikely(!last)) {
            PyMem_Free(number);
            goto fallback;
        }
        value = PyOS_string_to_double(number, &end, NULL);
        PyMem_Free(number);
    }
    if (likely(end == last) || (value == (double)-1 && PyErr_Occurred())) {
        return value;
    }
fallback:
    return __Pyx_SlowPyString_AsDouble(obj);
}

/* pynumber_float */
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Float(PyObject* obj) {
    double val;
    if (PyLong_CheckExact(obj)) {
#if CYTHON_USE_PYLONG_INTERNALS
        if (likely(__Pyx_PyLong_IsCompact(obj))) {
            val = (double) __Pyx_PyLong_CompactValue(obj);
            goto no_error;
        }
#endif
        val = PyLong_AsDouble(obj);
    } else if (PyUnicode_CheckExact(obj)) {
        val = __Pyx_PyUnicode_AsDouble(obj);
    } else if (PyBytes_CheckExact(obj)) {
        val = __Pyx_PyBytes_AsDouble(obj);
    } else if (PyByteArray_CheckExact(obj)) {
        val = __Pyx_PyByteArray_AsDouble(obj);
    } else {
        return PyNumber_Float(obj);
    }
    if (unlikely(val == -1 && PyErr_Occurred())) {
        return NULL;
    }
#if CYTHON_USE_PYLONG_INTERNALS
no_error:
#endif
    return PyFloat_FromDouble(val);
}

/* decode_c_string */
static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
    Py_ssize_t length;
    if (unlikely((start < 0) | (stop < 0))) {
        size_t slen = strlen(cstring);
        if (unlikely(slen > (size_t) PY_SSIZE_T_MAX)) {
            PyErr_SetString(PyExc_OverflowError,
                            "c-string too long to convert to Python");
            return NULL;
        }
        length = (Py_ssize_t) slen;
        if (start < 0) {
            start += length;
            if (start < 0)
                start = 0;
        }
        if (stop < 0)
            stop += length;
    }
    if (unlikely(stop <= start))
        return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_unicode);
    length = stop - start;
    cstring += start;
    if (decode_func) {
        return decode_func(cstring, length, errors);
    } else {
        return PyUnicode_Decode(cstring, length, encoding, errors);
    }
}

/* ExtTypeTest */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    __Pyx_TypeName obj_type_name;
    __Pyx_TypeName type_name;
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    type_name = __Pyx_PyType_GetFullyQualifiedName(type);
    PyErr_Format(PyExc_TypeError,
                 "Cannot convert " __Pyx_FMT_TYPENAME " to " __Pyx_FMT_TYPENAME,
                 obj_type_name, type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    __Pyx_DECREF_TypeName(type_name);
    return 0;
}

/* PyObjectCall2Args */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args[3] = {NULL, arg1, arg2};
    return __Pyx_PyObject_FastCall(function, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* CallUnboundCMethod1 */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg) {
    int was_initialized =  __Pyx_CachedCFunction_GetAndSetInitializing(cfunc);
    if (likely(was_initialized == 2 && cfunc->func)) {
        int flag = cfunc->flag;
        if (flag == METH_O) {
            return __Pyx_CallCFunction(cfunc, self, arg);
        } else if (flag == METH_FASTCALL) {
            return __Pyx_CallCFunctionFast(cfunc, self, &arg, 1);
        } else if (flag == (METH_FASTCALL | METH_KEYWORDS)) {
            return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, &arg, 1, NULL);
        }
    }
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    else if (unlikely(was_initialized == 1)) {
        __Pyx_CachedCFunction tmp_cfunc = {
#ifndef __cplusplus
            0
#endif
        };
        tmp_cfunc.type = cfunc->type;
        tmp_cfunc.method_name = cfunc->method_name;
        return __Pyx__CallUnboundCMethod1(&tmp_cfunc, self, arg);
    }
#endif
    PyObject* result = __Pyx__CallUnboundCMethod1(cfunc, self, arg);
    __Pyx_CachedCFunction_SetFinishedInitializing(cfunc);
    return result;
}
#endif
static PyObject* __Pyx__CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg){
    PyObject *result = NULL;
    if (unlikely(!cfunc->func && !cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_COMPILING_IN_CPYTHON
    if (cfunc->func && (cfunc->flag & METH_VARARGS)) {
        PyObject *args = PyTuple_New(1);
        if (unlikely(!args)) return NULL;
        Py_INCREF(arg);
        PyTuple_SET_ITEM(args, 0, arg);
        if (cfunc->flag & METH_KEYWORDS)
            result = __Pyx_CallCFunctionWithKeywords(cfunc, self, args, NULL);
        else
            result = __Pyx_CallCFunction(cfunc, self, args);
        Py_DECREF(args);
    } else
#endif
    {
        result = __Pyx_PyObject_Call2Args(cfunc->method, self, arg);
    }
    return result;
}

/* dict_getitem_default */
static PyObject* __Pyx_PyDict_GetItemDefault(PyObject* d, PyObject* key, PyObject* default_value) {
    PyObject* value;
#if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (unlikely(PyErr_Occurred()))
            return NULL;
        value = default_value;
    }
    Py_INCREF(value);
    if ((1));
#else
    if (PyBytes_CheckExact(key) || PyUnicode_CheckExact(key) || PyLong_CheckExact(key)) {
        value = PyDict_GetItem(d, key);
        if (unlikely(!value)) {
            value = default_value;
        }
        Py_INCREF(value);
    }
#endif
    else {
        if (default_value == Py_None)
            value = __Pyx_CallUnboundCMethod1(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_get, d, key);
        else
            value = __Pyx_CallUnboundCMethod2(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_get, d, key, default_value);
    }
    return value;
}

/* SliceObject */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(PyObject* obj,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
    __Pyx_TypeName obj_type_name;
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyLong_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyLong_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "'" __Pyx_FMT_TYPENAME "' object is unsliceable", obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
bad:
    return NULL;
}

/* FastTypeChecks */
#if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = __Pyx_PyType_GetSlot(a, tp_base, PyTypeObject*);
        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);
}
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (cls == a || cls == b) return 1;
    mro = cls->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            PyObject *base = PyTuple_GET_ITEM(mro, i);
            if (base == (PyObject *)a || base == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(cls, a) || __Pyx_InBases(cls, b);
}
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    if (exc_type1) {
        return __Pyx_IsAnySubtype2((PyTypeObject*)err, (PyTypeObject*)exc_type1, (PyTypeObject*)exc_type2);
    } else {
        return __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
}
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);
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        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

/* PyObjectVectorCallKwBuilder */
#if CYTHON_VECTORCALL
static int __Pyx_VectorcallBuilder_AddArg(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    (void)__Pyx_PyObject_FastCallDict;
    if (__Pyx_PyTuple_SET_ITEM(builder, n, key) != (0)) return -1;
    Py_INCREF(key);
    args[n] = value;
    return 0;
}
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    (void)__Pyx_VectorcallBuilder_AddArgStr;
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return __Pyx_VectorcallBuilder_AddArg(key, value, builder, args, n);
}
static int __Pyx_VectorcallBuilder_AddArgStr(const char *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    PyObject *pyKey = PyUnicode_FromString(key);
    if (!pyKey) return -1;
    return __Pyx_VectorcallBuilder_AddArg(pyKey, value, builder, args, n);
}
#else // CYTHON_VECTORCALL
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, CYTHON_UNUSED PyObject **args, CYTHON_UNUSED int n) {
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return PyDict_SetItem(builder, key, value);
}
#endif

/* PyObjectVectorCallMethodKwBuilder */
#if !CYTHON_VECTORCALL || PY_VERSION_HEX < 0x03090000
static PyObject *__Pyx_Object_VectorcallMethod_CallFromBuilder(PyObject *name, PyObject *const *args, size_t nargsf, PyObject *kwnames) {
    PyObject *result;
    PyObject *obj = PyObject_GetAttr(args[0], name);
    if (unlikely(!obj))
        return NULL;
    result = __Pyx_Object_Vectorcall_CallFromBuilder(obj, args+1, nargsf-1, kwnames);
    Py_DECREF(obj);
    return result;
}
#endif

/* decode_c_bytes */
static CYTHON_INLINE PyObject* __Pyx_decode_c_bytes(
         const char* cstring, Py_ssize_t length, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
    if (unlikely((start < 0) | (stop < 0))) {
        if (start < 0) {
            start += length;
            if (start < 0)
                start = 0;
        }
        if (stop < 0)
            stop += length;
    }
    if (stop > length)
        stop = length;
    if (unlikely(stop <= start))
        return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_unicode);
    length = stop - start;
    cstring += start;
    if (decode_func) {
        return decode_func(cstring, length, errors);
    } else {
        return PyUnicode_Decode(cstring, length, encoding, errors);
    }
}

/* CIntToDigits */
static const char DIGIT_PAIRS_10[2*10*10+1] = {
    "00010203040506070809"
    "10111213141516171819"
    "20212223242526272829"
    "30313233343536373839"
    "40414243444546474849"
    "50515253545556575859"
    "60616263646566676869"
    "70717273747576777879"
    "80818283848586878889"
    "90919293949596979899"
};
static const char DIGIT_PAIRS_8[2*8*8+1] = {
    "0001020304050607"
    "1011121314151617"
    "2021222324252627"
    "3031323334353637"
    "4041424344454647"
    "5051525354555657"
    "6061626364656667"
    "7071727374757677"
};
static const char DIGITS_HEX[2*16+1] = {
    "0123456789abcdef"
    "0123456789ABCDEF"
};

/* BuildPyUnicode */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, const char* chars, int clength,
                                                int prepend_sign, char padding_char) {
    PyObject *uval;
    Py_ssize_t uoffset = ulength - clength;
#if CYTHON_USE_UNICODE_INTERNALS
    Py_ssize_t i;
    void *udata;
    uval = PyUnicode_New(ulength, 127);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_DATA(uval);
    if (uoffset > 0) {
        i = 0;
        if (prepend_sign) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, 0, '-');
            i++;
        }
        for (; i < uoffset; i++) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, i, padding_char);
        }
    }
    for (i=0; i < clength; i++) {
        __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, uoffset+i, chars[i]);
    }
#else
    {
        PyObject *sign = NULL, *padding = NULL;
        uval = NULL;
        if (uoffset > 0) {
            prepend_sign = !!prepend_sign;
            if (uoffset > prepend_sign) {
                padding = PyUnicode_FromOrdinal(padding_char);
                if (likely(padding) && uoffset > prepend_sign + 1) {
                    PyObject *tmp = PySequence_Repeat(padding, uoffset - prepend_sign);
                    Py_DECREF(padding);
                    padding = tmp;
                }
                if (unlikely(!padding)) goto done_or_error;
            }
            if (prepend_sign) {
                sign = PyUnicode_FromOrdinal('-');
                if (unlikely(!sign)) goto done_or_error;
            }
        }
        uval = PyUnicode_DecodeASCII(chars, clength, NULL);
        if (likely(uval) && padding) {
            PyObject *tmp = PyUnicode_Concat(padding, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
        if (likely(uval) && sign) {
            PyObject *tmp = PyUnicode_Concat(sign, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
done_or_error:
        Py_XDECREF(padding);
        Py_XDECREF(sign);
    }
#endif
    return uval;
}

/* COrdinalToPyUnicode */
static CYTHON_INLINE int __Pyx_CheckUnicodeValue(int value) {
    return value <= 1114111;
}
static PyObject* __Pyx_PyUnicode_FromOrdinal_Padded(int value, Py_ssize_t ulength, char padding_char) {
    if (likely(ulength <= 250)) {
        char chars[256];
        if (value <= 255) {
            memset(chars, padding_char, (size_t) (ulength - 1));
            chars[ulength-1] = (char) value;
            return PyUnicode_DecodeLatin1(chars, ulength, NULL);
        }
        char *cpos = chars + sizeof(chars);
        if (value < 0x800) {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xc0 | (value & 0x1f));
        } else if (value < 0x10000) {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xe0 | (value & 0x0f));
        } else {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xf0 | (value & 0x07));
        }
        cpos -= ulength;
        memset(cpos, padding_char, (size_t) (ulength - 1));
        return PyUnicode_DecodeUTF8(cpos, chars + sizeof(chars) - cpos, NULL);
    }
    if (value <= 127 && CYTHON_USE_UNICODE_INTERNALS) {
        const char chars[1] = {(char) value};
        return __Pyx_PyUnicode_BuildFromAscii(ulength, chars, 1, 0, padding_char);
    }
    {
        PyObject *uchar, *padding_uchar, *padding, *result;
        padding_uchar = PyUnicode_FromOrdinal(padding_char);
        if (unlikely(!padding_uchar)) return NULL;
        padding = PySequence_Repeat(padding_uchar, ulength - 1);
        Py_DECREF(padding_uchar);
        if (unlikely(!padding)) return NULL;
        uchar = PyUnicode_FromOrdinal(value);
        if (unlikely(!uchar)) {
            Py_DECREF(padding);
            return NULL;
        }
        result = PyUnicode_Concat(padding, uchar);
        Py_DECREF(padding);
        Py_DECREF(uchar);
        return result;
    }
}

/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(int)*3+2];
    char *dpos, *end = digits + sizeof(int)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    int remaining;
#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 (format_char == 'c') {
        if (unlikely(!(is_unsigned || value == 0 || value > 0) ||
                     !(sizeof(value) <= 2 || value & ~ (int) 0x01fffff || __Pyx_CheckUnicodeValue((int) value)))) {
            PyErr_SetString(PyExc_OverflowError, "%c arg not in range(0x110000)");
            return NULL;
        }
        if (width <= 1) {
            return PyUnicode_FromOrdinal((int) value);
        }
        return __Pyx_PyUnicode_FromOrdinal_Padded((int) value, width, padding_char);
    }
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (int) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (int) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (int) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    assert(!last_one_off || *dpos == '0');
    dpos += last_one_off;
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* SetItemInt */
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (unlikely(!j)) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v, int is_list,
                                               CYTHON_NCP_UNUSED int wraparound, CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
            Py_INCREF(v);
#if CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
            PyList_SetItem(o, n, v);
#else
            PyObject* old = PyList_GET_ITEM(o, n);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
#endif
            return 1;
        }
    } else {
        PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
        PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
        if (mm && mm->mp_ass_subscript) {
            int r;
            PyObject *key = PyLong_FromSsize_t(i);
            if (unlikely(!key)) return -1;
            r = mm->mp_ass_subscript(o, key, v);
            Py_DECREF(key);
            return r;
        }
        if (likely(sm && sm->sq_ass_item)) {
            if (wraparound && unlikely(i < 0) && likely(sm->sq_length)) {
                Py_ssize_t l = sm->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return -1;
                    PyErr_Clear();
                }
            }
            return sm->sq_ass_item(o, i, v);
        }
    }
#else
    if (is_list || !PyMapping_Check(o))
    {
        return PySequence_SetItem(o, i, v);
    }
#endif
    return __Pyx_SetItemInt_Generic(o, PyLong_FromSsize_t(i), v);
}

/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject *index) {
    PyObject *runerr = NULL;
    Py_ssize_t key_value;
    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)) {
        __Pyx_TypeName index_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(index));
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError,
            "cannot fit '" __Pyx_FMT_TYPENAME "' into an index-sized integer", index_type_name);
        __Pyx_DECREF_TypeName(index_type_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem_Slow(PyObject *obj, PyObject *key) {
    __Pyx_TypeName obj_type_name;
    if (likely(PyType_Check(obj))) {
        PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(obj, __pyx_mstate_global->__pyx_n_u_class_getitem);
        if (!meth) {
            PyErr_Clear();
        } else {
            PyObject *result = __Pyx_PyObject_CallOneArg(meth, key);
            Py_DECREF(meth);
            return result;
        }
    }
    obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "'" __Pyx_FMT_TYPENAME "' object is not subscriptable", obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject *key) {
    PyTypeObject *tp = Py_TYPE(obj);
    PyMappingMethods *mm = tp->tp_as_mapping;
    PySequenceMethods *sm = tp->tp_as_sequence;
    if (likely(mm && mm->mp_subscript)) {
        return mm->mp_subscript(obj, key);
    }
    if (likely(sm && sm->sq_item)) {
        return __Pyx_PyObject_GetIndex(obj, key);
    }
    return __Pyx_PyObject_GetItem_Slow(obj, key);
}
#endif

/* CallTypeTraverse */
#if !CYTHON_USE_TYPE_SPECS || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x03090000)
#else
static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg) {
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x03090000
    if (__Pyx_get_runtime_version() < 0x03090000) return 0;
    #endif
    if (!always_call) {
        PyTypeObject *base = __Pyx_PyObject_GetSlot(o, tp_base, PyTypeObject*);
        unsigned long flags = PyType_GetFlags(base);
        if (flags & Py_TPFLAGS_HEAPTYPE) {
            return 0;
        }
    }
    Py_VISIT((PyObject*)Py_TYPE(o));
    return 0;
}
#endif

/* LimitedApiGetTypeDict */
#if CYTHON_COMPILING_IN_LIMITED_API
static Py_ssize_t __Pyx_GetTypeDictOffset(void) {
    PyObject *tp_dictoffset_o;
    Py_ssize_t tp_dictoffset;
    tp_dictoffset_o = PyObject_GetAttrString((PyObject*)(&PyType_Type), "__dictoffset__");
    if (unlikely(!tp_dictoffset_o)) return -1;
    tp_dictoffset = PyLong_AsSsize_t(tp_dictoffset_o);
    Py_DECREF(tp_dictoffset_o);
    if (unlikely(tp_dictoffset == 0)) {
        PyErr_SetString(
            PyExc_TypeError,
            "'type' doesn't have a dictoffset");
        return -1;
    } else if (unlikely(tp_dictoffset < 0)) {
        PyErr_SetString(
            PyExc_TypeError,
            "'type' has an unexpected negative dictoffset. "
            "Please report this as Cython bug");
        return -1;
    }
    return tp_dictoffset;
}
static PyObject *__Pyx_GetTypeDict(PyTypeObject *tp) {
    static Py_ssize_t tp_dictoffset = 0;
    if (unlikely(tp_dictoffset == 0)) {
        tp_dictoffset = __Pyx_GetTypeDictOffset();
        if (unlikely(tp_dictoffset == -1 && PyErr_Occurred())) {
            tp_dictoffset = 0; // try again next time?
            return NULL;
        }
    }
    return *(PyObject**)((char*)tp + tp_dictoffset);
}
#endif

/* SetItemOnTypeDict */
static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v) {
    int result;
    PyObject *tp_dict;
#if CYTHON_COMPILING_IN_LIMITED_API
    tp_dict = __Pyx_GetTypeDict(tp);
    if (unlikely(!tp_dict)) return -1;
#else
    tp_dict = tp->tp_dict;
#endif
    result = PyDict_SetItem(tp_dict, k, v);
    if (likely(!result)) {
        PyType_Modified(tp);
        if (unlikely(PyObject_HasAttr(v, __pyx_mstate_global->__pyx_n_u_set_name))) {
            PyObject *setNameResult = PyObject_CallMethodObjArgs(v, __pyx_mstate_global->__pyx_n_u_set_name,  (PyObject *) tp, k, NULL);
            if (!setNameResult) return -1;
            Py_DECREF(setNameResult);
        }
    }
    return result;
}

/* FixUpExtensionType */
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) {
#if __PYX_LIMITED_VERSION_HEX > 0x030900B1
    CYTHON_UNUSED_VAR(spec);
    CYTHON_UNUSED_VAR(type);
    CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict);
#else
    const PyType_Slot *slot = spec->slots;
    int changed = 0;
#if !CYTHON_COMPILING_IN_LIMITED_API
    while (slot && slot->slot && slot->slot != Py_tp_members)
        slot++;
    if (slot && slot->slot == Py_tp_members) {
#if !CYTHON_COMPILING_IN_CPYTHON
        const
#endif  // !CYTHON_COMPILING_IN_CPYTHON)
            PyMemberDef *memb = (PyMemberDef*) slot->pfunc;
        while (memb && memb->name) {
            if (memb->name[0] == '_' && memb->name[1] == '_') {
                if (strcmp(memb->name, "__weaklistoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_weaklistoffset = memb->offset;
                    changed = 1;
                }
                else if (strcmp(memb->name, "__dictoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_dictoffset = memb->offset;
                    changed = 1;
                }
#if CYTHON_METH_FASTCALL
                else if (strcmp(memb->name, "__vectorcalloffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
#if PY_VERSION_HEX >= 0x030800b4
                    type->tp_vectorcall_offset = memb->offset;
#else
                    type->tp_print = (printfunc) memb->offset;
#endif
                    changed = 1;
                }
#endif  // CYTHON_METH_FASTCALL
                else if (strcmp(memb->name, "__module__") == 0) {
                    PyObject *descr;
                    assert(memb->type == T_OBJECT);
                    assert(memb->flags == 0 || memb->flags == READONLY);
                    descr = PyDescr_NewMember(type, memb);
                    if (unlikely(!descr))
                        return -1;
                    int set_item_result = PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr);
                    Py_DECREF(descr);
                    if (unlikely(set_item_result < 0)) {
                        return -1;
                    }
                    changed = 1;
                }
            }
            memb++;
        }
    }
#endif  // !CYTHON_COMPILING_IN_LIMITED_API
    slot = spec->slots;
    while (slot && slot->slot && slot->slot != Py_tp_getset)
        slot++;
    if (slot && slot->slot == Py_tp_getset) {
        PyGetSetDef *getset = (PyGetSetDef*) slot->pfunc;
        while (getset && getset->name) {
            if (getset->name[0] == '_' && getset->name[1] == '_' && strcmp(getset->name, "__module__") == 0) {
                PyObject *descr = PyDescr_NewGetSet(type, getset);
                if (unlikely(!descr))
                    return -1;
                #if CYTHON_COMPILING_IN_LIMITED_API
                PyObject *pyname = PyUnicode_FromString(getset->name);
                if (unlikely(!pyname)) {
                    Py_DECREF(descr);
                    return -1;
                }
                int set_item_result = __Pyx_SetItemOnTypeDict(type, pyname, descr);
                Py_DECREF(pyname);
                #else
                CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict);
                int set_item_result = PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr);
                #endif
                Py_DECREF(descr);
                if (unlikely(set_item_result < 0)) {
                    return -1;
                }
                changed = 1;
            }
            ++getset;
        }
    }
    if (changed)
        PyType_Modified(type);
#endif  // PY_VERSION_HEX > 0x030900B1
    return 0;
}

/* ValidateBasesTuple */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases) {
    Py_ssize_t i, n;
#if CYTHON_ASSUME_SAFE_SIZE
    n = PyTuple_GET_SIZE(bases);
#else
    n = PyTuple_Size(bases);
    if (unlikely(n < 0)) return -1;
#endif
    for (i = 1; i < n; i++)
    {
        PyTypeObject *b;
#if CYTHON_AVOID_BORROWED_REFS
        PyObject *b0 = PySequence_GetItem(bases, i);
        if (!b0) return -1;
#elif CYTHON_ASSUME_SAFE_MACROS
        PyObject *b0 = PyTuple_GET_ITEM(bases, i);
#else
        PyObject *b0 = PyTuple_GetItem(bases, i);
        if (!b0) return -1;
#endif
        b = (PyTypeObject*) b0;
        if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetFullyQualifiedName(b);
            PyErr_Format(PyExc_TypeError,
                "base class '" __Pyx_FMT_TYPENAME "' is not a heap type", b_name);
            __Pyx_DECREF_TypeName(b_name);
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
        if (dictoffset == 0)
        {
            Py_ssize_t b_dictoffset = 0;
#if CYTHON_USE_TYPE_SLOTS
            b_dictoffset = b->tp_dictoffset;
#else
            PyObject *py_b_dictoffset = PyObject_GetAttrString((PyObject*)b, "__dictoffset__");
            if (!py_b_dictoffset) goto dictoffset_return;
            b_dictoffset = PyLong_AsSsize_t(py_b_dictoffset);
            Py_DECREF(py_b_dictoffset);
            if (b_dictoffset == -1 && PyErr_Occurred()) goto dictoffset_return;
#endif
            if (b_dictoffset) {
                {
                    __Pyx_TypeName b_name = __Pyx_PyType_GetFullyQualifiedName(b);
                    PyErr_Format(PyExc_TypeError,
                        "extension type '%.200s' has no __dict__ slot, "
                        "but base type '" __Pyx_FMT_TYPENAME "' has: "
                        "either add 'cdef dict __dict__' to the extension type "
                        "or add '__slots__ = [...]' to the base type",
                        type_name, b_name);
                    __Pyx_DECREF_TypeName(b_name);
                }
#if !CYTHON_USE_TYPE_SLOTS
              dictoffset_return:
#endif
#if CYTHON_AVOID_BORROWED_REFS
                Py_DECREF(b0);
#endif
                return -1;
            }
        }
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(b0);
#endif
    }
    return 0;
}
#endif

/* PyType_Ready */
CYTHON_UNUSED static int __Pyx_PyType_HasMultipleInheritance(PyTypeObject *t) {
    while (t) {
        PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
        if (bases) {
            return 1;
        }
        t = __Pyx_PyType_GetSlot(t, tp_base, PyTypeObject*);
    }
    return 0;
}
static int __Pyx_PyType_Ready(PyTypeObject *t) {
#if CYTHON_USE_TYPE_SPECS || !CYTHON_COMPILING_IN_CPYTHON || defined(PYSTON_MAJOR_VERSION)
    (void)__Pyx_PyObject_CallMethod0;
#if CYTHON_USE_TYPE_SPECS
    (void)__Pyx_validate_bases_tuple;
#endif
    return PyType_Ready(t);
#else
    int r;
    if (!__Pyx_PyType_HasMultipleInheritance(t)) {
        return PyType_Ready(t);
    }
    PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
    if (bases && unlikely(__Pyx_validate_bases_tuple(t->tp_name, t->tp_dictoffset, bases) == -1))
        return -1;
#if !defined(PYSTON_MAJOR_VERSION)
    {
        int gc_was_enabled;
    #if PY_VERSION_HEX >= 0x030A00b1
        gc_was_enabled = PyGC_Disable();
        (void)__Pyx_PyObject_CallMethod0;
    #else
        PyObject *ret, *py_status;
        PyObject *gc = NULL;
        #if (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400) &&\
                !CYTHON_COMPILING_IN_GRAAL
        gc = PyImport_GetModule(__pyx_mstate_global->__pyx_kp_u_gc);
        #endif
        if (unlikely(!gc)) gc = PyImport_Import(__pyx_mstate_global->__pyx_kp_u_gc);
        if (unlikely(!gc)) return -1;
        py_status = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_isenabled);
        if (unlikely(!py_status)) {
            Py_DECREF(gc);
            return -1;
        }
        gc_was_enabled = __Pyx_PyObject_IsTrue(py_status);
        Py_DECREF(py_status);
        if (gc_was_enabled > 0) {
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_disable);
            if (unlikely(!ret)) {
                Py_DECREF(gc);
                return -1;
            }
            Py_DECREF(ret);
        } else if (unlikely(gc_was_enabled == -1)) {
            Py_DECREF(gc);
            return -1;
        }
    #endif
        t->tp_flags |= Py_TPFLAGS_HEAPTYPE;
#if PY_VERSION_HEX >= 0x030A0000
        t->tp_flags |= Py_TPFLAGS_IMMUTABLETYPE;
#endif
#else
        (void)__Pyx_PyObject_CallMethod0;
#endif
    r = PyType_Ready(t);
#if !defined(PYSTON_MAJOR_VERSION)
        t->tp_flags &= ~Py_TPFLAGS_HEAPTYPE;
    #if PY_VERSION_HEX >= 0x030A00b1
        if (gc_was_enabled)
            PyGC_Enable();
    #else
        if (gc_was_enabled) {
            PyObject *tp, *v, *tb;
            PyErr_Fetch(&tp, &v, &tb);
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_enable);
            if (likely(ret || r == -1)) {
                Py_XDECREF(ret);
                PyErr_Restore(tp, v, tb);
            } else {
                Py_XDECREF(tp);
                Py_XDECREF(v);
                Py_XDECREF(tb);
                r = -1;
            }
        }
        Py_DECREF(gc);
    #endif
    }
#endif
    return r;
#endif
}

/* DelItemOnTypeDict */
static int __Pyx__DelItemOnTypeDict(PyTypeObject *tp, PyObject *k) {
    int result;
    PyObject *tp_dict;
#if CYTHON_COMPILING_IN_LIMITED_API
    tp_dict = __Pyx_GetTypeDict(tp);
    if (unlikely(!tp_dict)) return -1;
#else
    tp_dict = tp->tp_dict;
#endif
    result = PyDict_DelItem(tp_dict, k);
    if (likely(!result)) PyType_Modified(tp);
    return result;
}

/* SetupReduce */
static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStrNoError(meth, __pyx_mstate_global->__pyx_n_u_name);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_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_mstate_global->__pyx_n_u_getstate);
#else
    getstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_getstate);
    if (!getstate && PyErr_Occurred()) {
        goto __PYX_BAD;
    }
#endif
    if (getstate) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_getstate = _PyType_Lookup(&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_getstate);
#else
        object_getstate = __Pyx_PyObject_GetAttrStrNoError((PyObject*)&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_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_mstate_global->__pyx_n_u_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_mstate_global->__pyx_n_u_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_mstate_global->__pyx_n_u_reduce); if (!object_reduce) goto __PYX_BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_reduce); if (!object_reduce) goto __PYX_BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_mstate_global->__pyx_n_u_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_mstate_global->__pyx_n_u_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_reduce_cython);
            if (likely(reduce_cython)) {
                ret = __Pyx_SetItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                ret = __Pyx_DelItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
            } else if (reduce == object_reduce || PyErr_Occurred()) {
                goto __PYX_BAD;
            }
            setstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_mstate_global->__pyx_n_u_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_setstate_cython);
                if (likely(setstate_cython)) {
                    ret = __Pyx_SetItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                    ret = __Pyx_DelItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_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()) {
        __Pyx_TypeName type_obj_name =
            __Pyx_PyType_GetFullyQualifiedName((PyTypeObject*)type_obj);
        PyErr_Format(PyExc_RuntimeError,
            "Unable to initialize pickling for " __Pyx_FMT_TYPENAME, type_obj_name);
        __Pyx_DECREF_TypeName(type_obj_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;
}

/* SetVTable */
static int __Pyx_SetVtable(PyTypeObject *type, void *vtable) {
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
    if (unlikely(!ob))
        goto bad;
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(PyObject_SetAttr((PyObject *) type, __pyx_mstate_global->__pyx_n_u_pyx_vtable, ob) < 0))
#else
    if (unlikely(PyDict_SetItem(type->tp_dict, __pyx_mstate_global->__pyx_n_u_pyx_vtable, ob) < 0))
#endif
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

/* GetVTable */
static void* __Pyx_GetVtable(PyTypeObject *type) {
    void* ptr;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *ob = PyObject_GetAttr((PyObject *)type, __pyx_mstate_global->__pyx_n_u_pyx_vtable);
#else
    PyObject *ob = PyObject_GetItem(type->tp_dict, __pyx_mstate_global->__pyx_n_u_pyx_vtable);
#endif
    if (!ob)
        goto bad;
    ptr = PyCapsule_GetPointer(ob, 0);
    if (!ptr && !PyErr_Occurred())
        PyErr_SetString(PyExc_RuntimeError, "invalid vtable found for imported type");
    Py_DECREF(ob);
    return ptr;
bad:
    Py_XDECREF(ob);
    return NULL;
}

/* MergeVTables */
static int __Pyx_MergeVtables(PyTypeObject *type) {
    int i=0;
    Py_ssize_t size;
    void** base_vtables;
    __Pyx_TypeName tp_base_name = NULL;
    __Pyx_TypeName base_name = NULL;
    void* unknown = (void*)-1;
    PyObject* bases = __Pyx_PyType_GetSlot(type, tp_bases, PyObject*);
    int base_depth = 0;
    {
        PyTypeObject* base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
        while (base) {
            base_depth += 1;
            base = __Pyx_PyType_GetSlot(base, tp_base, PyTypeObject*);
        }
    }
    base_vtables = (void**) PyMem_Malloc(sizeof(void*) * (size_t)(base_depth + 1));
    base_vtables[0] = unknown;
#if CYTHON_COMPILING_IN_LIMITED_API
    size = PyTuple_Size(bases);
    if (size < 0) goto other_failure;
#else
    size = PyTuple_GET_SIZE(bases);
#endif
    for (i = 1; i < size; i++) {
        PyObject *basei;
        void* base_vtable;
#if CYTHON_AVOID_BORROWED_REFS
        basei = PySequence_GetItem(bases, i);
        if (unlikely(!basei)) goto other_failure;
#elif !CYTHON_ASSUME_SAFE_MACROS
        basei = PyTuple_GetItem(bases, i);
        if (unlikely(!basei)) goto other_failure;
#else
        basei = PyTuple_GET_ITEM(bases, i);
#endif
        base_vtable = __Pyx_GetVtable((PyTypeObject*)basei);
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(basei);
#endif
        if (base_vtable != NULL) {
            int j;
            PyTypeObject* base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
            for (j = 0; j < base_depth; j++) {
                if (base_vtables[j] == unknown) {
                    base_vtables[j] = __Pyx_GetVtable(base);
                    base_vtables[j + 1] = unknown;
                }
                if (base_vtables[j] == base_vtable) {
                    break;
                } else if (base_vtables[j] == NULL) {
                    goto bad;
                }
                base = __Pyx_PyType_GetSlot(base, tp_base, PyTypeObject*);
            }
        }
    }
    PyErr_Clear();
    PyMem_Free(base_vtables);
    return 0;
bad:
    {
        PyTypeObject* basei = NULL;
        PyTypeObject* tp_base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
        tp_base_name = __Pyx_PyType_GetFullyQualifiedName(tp_base);
#if CYTHON_AVOID_BORROWED_REFS
        basei = (PyTypeObject*)PySequence_GetItem(bases, i);
        if (unlikely(!basei)) goto really_bad;
#elif !CYTHON_ASSUME_SAFE_MACROS
        basei = (PyTypeObject*)PyTuple_GetItem(bases, i);
        if (unlikely(!basei)) goto really_bad;
#else
        basei = (PyTypeObject*)PyTuple_GET_ITEM(bases, i);
#endif
        base_name = __Pyx_PyType_GetFullyQualifiedName(basei);
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(basei);
#endif
    }
    PyErr_Format(PyExc_TypeError,
        "multiple bases have vtable conflict: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'", tp_base_name, base_name);
#if CYTHON_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
really_bad: // bad has failed!
#endif
    __Pyx_DECREF_TypeName(tp_base_name);
    __Pyx_DECREF_TypeName(base_name);
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
other_failure:
#endif
    PyMem_Free(base_vtables);
    return -1;
}

/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *module = 0;
    PyObject *empty_dict = 0;
    PyObject *empty_list = 0;
    empty_dict = PyDict_New();
    if (unlikely(!empty_dict))
        goto bad;
    if (level == -1) {
        const char* package_sep = strchr(__Pyx_MODULE_NAME, '.');
        if (package_sep != (0)) {
            module = PyImport_ImportModuleLevelObject(
                name, __pyx_mstate_global->__pyx_d, empty_dict, from_list, 1);
            if (unlikely(!module)) {
                if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))
                    goto bad;
                PyErr_Clear();
            }
        }
        level = 0;
    }
    if (!module) {
        module = PyImport_ImportModuleLevelObject(
            name, __pyx_mstate_global->__pyx_d, empty_dict, from_list, level);
    }
bad:
    Py_XDECREF(empty_dict);
    Py_XDECREF(empty_list);
    return module;
}

/* ImportDottedModule */
static PyObject *__Pyx__ImportDottedModule_Error(PyObject *name, PyObject *parts_tuple, Py_ssize_t count) {
    PyObject *partial_name = NULL, *slice = NULL, *sep = NULL;
    Py_ssize_t size;
    if (unlikely(PyErr_Occurred())) {
        PyErr_Clear();
    }
#if CYTHON_ASSUME_SAFE_SIZE
    size = PyTuple_GET_SIZE(parts_tuple);
#else
    size = PyTuple_Size(parts_tuple);
    if (size < 0) goto bad;
#endif
    if (likely(size == count)) {
        partial_name = name;
    } else {
        slice = PySequence_GetSlice(parts_tuple, 0, count);
        if (unlikely(!slice))
            goto bad;
        sep = PyUnicode_FromStringAndSize(".", 1);
        if (unlikely(!sep))
            goto bad;
        partial_name = PyUnicode_Join(sep, slice);
    }
    PyErr_Format(
        PyExc_ModuleNotFoundError,
        "No module named '%U'", partial_name);
bad:
    Py_XDECREF(sep);
    Py_XDECREF(slice);
    Py_XDECREF(partial_name);
    return NULL;
}
static PyObject *__Pyx__ImportDottedModule_Lookup(PyObject *name) {
    PyObject *imported_module;
#if (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400) ||\
        CYTHON_COMPILING_IN_GRAAL
    PyObject *modules = PyImport_GetModuleDict();
    if (unlikely(!modules))
        return NULL;
    imported_module = __Pyx_PyDict_GetItemStr(modules, name);
    Py_XINCREF(imported_module);
#else
    imported_module = PyImport_GetModule(name);
#endif
    return imported_module;
}
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple) {
    Py_ssize_t i, nparts;
#if CYTHON_ASSUME_SAFE_SIZE
    nparts = PyTuple_GET_SIZE(parts_tuple);
#else
    nparts = PyTuple_Size(parts_tuple);
    if (nparts < 0) return NULL;
#endif
    for (i=1; i < nparts && module; i++) {
        PyObject *part, *submodule;
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        part = PyTuple_GET_ITEM(parts_tuple, i);
#else
        part = __Pyx_PySequence_ITEM(parts_tuple, i);
        if (!part) return NULL;
#endif
        submodule = __Pyx_PyObject_GetAttrStrNoError(module, part);
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
        Py_DECREF(part);
#endif
        Py_DECREF(module);
        module = submodule;
    }
    if (unlikely(!module)) {
        return __Pyx__ImportDottedModule_Error(name, parts_tuple, i);
    }
    return module;
}
static PyObject *__Pyx__ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
    PyObject *imported_module;
    PyObject *module = __Pyx_Import(name, NULL, 0);
    if (!parts_tuple || unlikely(!module))
        return module;
    imported_module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(imported_module)) {
        Py_DECREF(module);
        return imported_module;
    }
    PyErr_Clear();
    return __Pyx_ImportDottedModule_WalkParts(module, name, parts_tuple);
}
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(module)) {
        PyObject *spec = __Pyx_PyObject_GetAttrStrNoError(module, __pyx_mstate_global->__pyx_n_u_spec);
        if (likely(spec)) {
            PyObject *unsafe = __Pyx_PyObject_GetAttrStrNoError(spec, __pyx_mstate_global->__pyx_n_u_initializing);
            if (likely(!unsafe || !__Pyx_PyObject_IsTrue(unsafe))) {
                Py_DECREF(spec);
                spec = NULL;
            }
            Py_XDECREF(unsafe);
        }
        if (likely(!spec)) {
            PyErr_Clear();
            return module;
        }
        Py_DECREF(spec);
        Py_DECREF(module);
    } else if (PyErr_Occurred()) {
        PyErr_Clear();
    }
#endif
    return __Pyx__ImportDottedModule(name, parts_tuple);
}

/* ListPack */
static PyObject *__Pyx_PyList_Pack(Py_ssize_t n, ...) {
    va_list va;
    PyObject *l = PyList_New(n);
    va_start(va, n);
    if (unlikely(!l)) goto end;
    for (Py_ssize_t i=0; i<n; ++i) {
        PyObject *arg = va_arg(va, PyObject*);
        Py_INCREF(arg);
        if (__Pyx_PyList_SET_ITEM(l, i, arg) != (0)) {
            Py_CLEAR(l);
            goto end;
        }
    }
    end:
    va_end(va);
    return l;
}

/* ImportFrom */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        const char* module_name_str = 0;
        PyObject* module_name = 0;
        PyObject* module_dot = 0;
        PyObject* full_name = 0;
        PyErr_Clear();
        module_name_str = PyModule_GetName(module);
        if (unlikely(!module_name_str)) { goto modbad; }
        module_name = PyUnicode_FromString(module_name_str);
        if (unlikely(!module_name)) { goto modbad; }
        module_dot = PyUnicode_Concat(module_name, __pyx_mstate_global->__pyx_kp_u__34);
        if (unlikely(!module_dot)) { goto modbad; }
        full_name = PyUnicode_Concat(module_dot, name);
        if (unlikely(!full_name)) { goto modbad; }
        #if (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400) ||\
                CYTHON_COMPILING_IN_GRAAL
        {
            PyObject *modules = PyImport_GetModuleDict();
            if (unlikely(!modules))
                goto modbad;
            value = PyObject_GetItem(modules, full_name);
        }
        #else
        value = PyImport_GetModule(full_name);
        #endif
      modbad:
        Py_XDECREF(full_name);
        Py_XDECREF(module_dot);
        Py_XDECREF(module_name);
    }
    if (unlikely(!value)) {
        PyErr_Format(PyExc_ImportError, "cannot import name %S", name);
    }
    return value;
}

/* FetchSharedCythonModule */
static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
    return __Pyx_PyImport_AddModuleRef(__PYX_ABI_MODULE_NAME);
}

/* dict_setdefault */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value,
                                                       int is_safe_type) {
    PyObject* value;
    CYTHON_MAYBE_UNUSED_VAR(is_safe_type);
#if CYTHON_COMPILING_IN_LIMITED_API
    value = PyObject_CallMethod(d, "setdefault", "OO", key, default_value);
#elif PY_VERSION_HEX >= 0x030d0000
    PyDict_SetDefaultRef(d, key, default_value, &value);
#else
    value = PyDict_SetDefault(d, key, default_value);
    if (unlikely(!value)) return NULL;
    Py_INCREF(value);
#endif
    return value;
}

/* FetchCommonType */
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
static PyObject* __Pyx_PyType_FromMetaclass(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *result = __Pyx_PyType_FromModuleAndSpec(module, spec, bases);
    if (result && metaclass) {
        PyObject *old_tp = (PyObject*)Py_TYPE(result);
    Py_INCREF((PyObject*)metaclass);
#if __PYX_LIMITED_VERSION_HEX >= 0x03090000
        Py_SET_TYPE(result, metaclass);
#else
        result->ob_type = metaclass;
#endif
        Py_DECREF(old_tp);
    }
    return result;
}
#else
#define __Pyx_PyType_FromMetaclass(me, mo, s, b) PyType_FromMetaclass(me, mo, s, b)
#endif
static int __Pyx_VerifyCachedType(PyObject *cached_type,
                               const char *name,
                               Py_ssize_t expected_basicsize) {
    Py_ssize_t basicsize;
    if (!PyType_Check(cached_type)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s is not a type object", name);
        return -1;
    }
    if (expected_basicsize == 0) {
        return 0; // size is inherited, nothing useful to check
    }
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_basicsize;
    py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");
    if (unlikely(!py_basicsize)) return -1;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = NULL;
    if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) return -1;
#else
    basicsize = ((PyTypeObject*) cached_type)->tp_basicsize;
#endif
    if (basicsize != expected_basicsize) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s has the wrong size, try recompiling",
            name);
        return -1;
    }
    return 0;
}
static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *abi_module = NULL, *cached_type = NULL, *abi_module_dict, *new_cached_type, *py_object_name;
    int get_item_ref_result;
    const char* object_name = strrchr(spec->name, '.');
    object_name = object_name ? object_name+1 : spec->name;
    py_object_name = PyUnicode_FromString(object_name);
    if (!py_object_name) return NULL;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) goto done;
    abi_module_dict = PyModule_GetDict(abi_module);
    if (!abi_module_dict) goto done;
    get_item_ref_result = __Pyx_PyDict_GetItemRef(abi_module_dict, py_object_name, &cached_type);
    if (get_item_ref_result == 1) {
        if (__Pyx_VerifyCachedType(
              cached_type,
              object_name,
              spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    } else if (unlikely(get_item_ref_result == -1)) {
        goto bad;
    }
    CYTHON_UNUSED_VAR(module);
    cached_type = __Pyx_PyType_FromMetaclass(metaclass, abi_module, spec, bases);
    if (unlikely(!cached_type)) goto bad;
    if (unlikely(__Pyx_fix_up_extension_type_from_spec(spec, (PyTypeObject *) cached_type) < 0)) goto bad;
    new_cached_type = __Pyx_PyDict_SetDefault(abi_module_dict, py_object_name, cached_type, 1);
    if (unlikely(new_cached_type != cached_type)) {
        if (unlikely(!new_cached_type)) goto bad;
        Py_DECREF(cached_type);
        cached_type = new_cached_type;
        if (__Pyx_VerifyCachedType(
                cached_type,
                object_name,
                spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    } else {
        Py_DECREF(new_cached_type);
    }
done:
    Py_XDECREF(abi_module);
    Py_DECREF(py_object_name);
    assert(cached_type == NULL || PyType_Check(cached_type));
    return (PyTypeObject *) cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

/* CommonTypesMetaclass */
PyObject* __pyx_CommonTypesMetaclass_get_module(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED void* context) {
    return PyUnicode_FromString(__PYX_ABI_MODULE_NAME);
}
static PyGetSetDef __pyx_CommonTypesMetaclass_getset[] = {
    {"__module__", __pyx_CommonTypesMetaclass_get_module, NULL, NULL, NULL},
    {0, 0, 0, 0, 0}
};
static PyType_Slot __pyx_CommonTypesMetaclass_slots[] = {
    {Py_tp_getset, (void *)__pyx_CommonTypesMetaclass_getset},
    {0, 0}
};
static PyType_Spec __pyx_CommonTypesMetaclass_spec = {
    __PYX_TYPE_MODULE_PREFIX "_common_types_metatype",
    0,
    0,
#if PY_VERSION_HEX >= 0x030A0000
    Py_TPFLAGS_IMMUTABLETYPE |
    Py_TPFLAGS_DISALLOW_INSTANTIATION |
#endif
    Py_TPFLAGS_DEFAULT,
    __pyx_CommonTypesMetaclass_slots
};
static int __pyx_CommonTypesMetaclass_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    PyObject *bases = PyTuple_Pack(1, &PyType_Type);
    if (unlikely(!bases)) {
        return -1;
    }
    mstate->__pyx_CommonTypesMetaclassType = __Pyx_FetchCommonTypeFromSpec(NULL, module, &__pyx_CommonTypesMetaclass_spec, bases);
    if (unlikely(mstate->__pyx_CommonTypesMetaclassType == NULL)) {
        return -1;
    }
    return 0;
}

/* PyMethodNew */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    PyObject *result;
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    #if __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    {
        PyObject *args[] = {func, self};
        result = PyObject_Vectorcall(__pyx_mstate_global->__Pyx_CachedMethodType, args, 2, NULL);
    }
    #else
    result = PyObject_CallFunctionObjArgs(__pyx_mstate_global->__Pyx_CachedMethodType, func, self, NULL);
    #endif
    return result;
}
#else
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    return PyMethod_New(func, self);
}
#endif

/* PyVectorcallFastCallDict */
#if CYTHON_METH_FASTCALL && (CYTHON_VECTORCALL || CYTHON_BACKPORT_VECTORCALL)
static PyObject *__Pyx_PyVectorcall_FastCallDict_kw(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    PyObject *res = NULL;
    PyObject *kwnames;
    PyObject **newargs;
    PyObject **kwvalues;
    Py_ssize_t i, pos;
    size_t j;
    PyObject *key, *value;
    unsigned long keys_are_strings;
    #if !CYTHON_ASSUME_SAFE_SIZE
    Py_ssize_t nkw = PyDict_Size(kw);
    if (unlikely(nkw == -1)) return NULL;
    #else
    Py_ssize_t nkw = PyDict_GET_SIZE(kw);
    #endif
    newargs = (PyObject **)PyMem_Malloc((nargs + (size_t)nkw) * sizeof(args[0]));
    if (unlikely(newargs == NULL)) {
        PyErr_NoMemory();
        return NULL;
    }
    for (j = 0; j < nargs; j++) newargs[j] = args[j];
    kwnames = PyTuple_New(nkw);
    if (unlikely(kwnames == NULL)) {
        PyMem_Free(newargs);
        return NULL;
    }
    kwvalues = newargs + nargs;
    pos = i = 0;
    keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS;
    while (PyDict_Next(kw, &pos, &key, &value)) {
        keys_are_strings &=
        #if CYTHON_COMPILING_IN_LIMITED_API
            PyType_GetFlags(Py_TYPE(key));
        #else
            Py_TYPE(key)->tp_flags;
        #endif
        Py_INCREF(key);
        Py_INCREF(value);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(PyTuple_SetItem(kwnames, i, key) < 0)) goto cleanup;
        #else
        PyTuple_SET_ITEM(kwnames, i, key);
        #endif
        kwvalues[i] = value;
        i++;
    }
    if (unlikely(!keys_are_strings)) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        goto cleanup;
    }
    res = vc(func, newargs, nargs, kwnames);
cleanup:
    Py_DECREF(kwnames);
    for (i = 0; i < nkw; i++)
        Py_DECREF(kwvalues[i]);
    PyMem_Free(newargs);
    return res;
}
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    Py_ssize_t kw_size =
        likely(kw == NULL) ?
        0 :
#if !CYTHON_ASSUME_SAFE_SIZE
        PyDict_Size(kw);
#else
        PyDict_GET_SIZE(kw);
#endif
    if (kw_size == 0) {
        return vc(func, args, nargs, NULL);
    }
#if !CYTHON_ASSUME_SAFE_SIZE
    else if (unlikely(kw_size == -1)) {
        return NULL;
    }
#endif
    return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);
}
#endif

/* CythonFunctionShared */
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunctionNoMethod(PyObject *func, void (*cfunc)(void)) {
    if (__Pyx_CyFunction_Check(func)) {
        return PyCFunction_GetFunction(((__pyx_CyFunctionObject*)func)->func) == (PyCFunction) cfunc;
    } else if (PyCFunction_Check(func)) {
        return PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
    if ((PyObject*)Py_TYPE(func) == __pyx_mstate_global->__Pyx_CachedMethodType) {
        int result;
        PyObject *newFunc = PyObject_GetAttr(func, __pyx_mstate_global->__pyx_n_u_func);
        if (unlikely(!newFunc)) {
            PyErr_Clear(); // It's only an optimization, so don't throw an error
            return 0;
        }
        result = __Pyx__IsSameCyOrCFunctionNoMethod(newFunc, cfunc);
        Py_DECREF(newFunc);
        return result;
    }
    return __Pyx__IsSameCyOrCFunctionNoMethod(func, cfunc);
}
#else
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
    if (PyMethod_Check(func)) {
        func = PyMethod_GET_FUNCTION(func);
    }
    return __Pyx_CyOrPyCFunction_Check(func) && __Pyx_CyOrPyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
}
#endif
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    __Pyx_Py_XDECREF_SET(
        __Pyx_CyFunction_GetClassObj(f),
            ((classobj) ? __Pyx_NewRef(classobj) : NULL));
#else
    __Pyx_Py_XDECREF_SET(
        ((PyCMethodObject *) (f))->mm_class,
        (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL));
#endif
}
static PyObject *
__Pyx_CyFunction_get_doc_locked(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_doc == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_doc = PyObject_GetAttrString(op->func, "__doc__");
        if (unlikely(!op->func_doc)) return NULL;
#else
        if (((PyCFunctionObject*)op)->m_ml->ml_doc) {
            op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
#endif
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure) {
    PyObject *result;
    CYTHON_UNUSED_VAR(closure);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_doc_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_doc, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name_locked(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_name == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_name = PyObject_GetAttrString(op->func, "__name__");
#else
        op->func_name = PyUnicode_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, void *context)
{
    PyObject *result = NULL;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_name_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    PyObject *result;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    Py_INCREF(op->func_qualname);
    result = op->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_dict_locked(__pyx_CyFunctionObject *op)
{
    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 PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    PyObject *result;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_dict_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    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;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_dict, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(op);
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    CYTHON_UNUSED_VAR(context);
    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 = __Pyx_PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = __Pyx_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, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyTuple_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__defaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults_locked(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = NULL;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_defaults_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__kwdefaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults_locked(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_kwdefaults_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value || value == Py_None) {
        value = NULL;
    } else if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations_locked(__pyx_CyFunctionObject *op) {
    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 PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, void *context) {
    PyObject *result;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_annotations_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine_value(__pyx_CyFunctionObject *op) {
    int is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
    if (is_coroutine) {
        PyObject *is_coroutine_value, *module, *fromlist, *marker = __pyx_mstate_global->__pyx_n_u_is_coroutine;
        fromlist = PyList_New(1);
        if (unlikely(!fromlist)) return NULL;
        Py_INCREF(marker);
#if CYTHON_ASSUME_SAFE_MACROS
        PyList_SET_ITEM(fromlist, 0, marker);
#else
        if (unlikely(PyList_SetItem(fromlist, 0, marker) < 0)) {
            Py_DECREF(marker);
            Py_DECREF(fromlist);
            return NULL;
        }
#endif
        module = PyImport_ImportModuleLevelObject(__pyx_mstate_global->__pyx_n_u_asyncio_coroutines, NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
        if (unlikely(!module)) goto ignore;
        is_coroutine_value = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(is_coroutine_value)) {
            return is_coroutine_value;
        }
ignore:
        PyErr_Clear();
    }
    return __Pyx_PyBool_FromLong(is_coroutine);
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine(__pyx_CyFunctionObject *op, void *context) {
    PyObject *result;
    CYTHON_UNUSED_VAR(context);
    if (op->func_is_coroutine) {
        return __Pyx_NewRef(op->func_is_coroutine);
    }
    result = __Pyx_CyFunction_get_is_coroutine_value(op);
    if (unlikely(!result))
        return NULL;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    if (op->func_is_coroutine) {
        Py_DECREF(result);
        result = __Pyx_NewRef(op->func_is_coroutine);
    } else {
        op->func_is_coroutine = __Pyx_NewRef(result);
    }
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static void __Pyx_CyFunction_raise_argument_count_error(__pyx_CyFunctionObject *func, const char* message, Py_ssize_t size) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
    if (!py_name) return;
    PyErr_Format(PyExc_TypeError,
        "%.200S() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
        py_name, message, size);
    Py_DECREF(py_name);
#else
    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
    PyErr_Format(PyExc_TypeError,
        "%.200s() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
        name, message, size);
#endif
}
static void __Pyx_CyFunction_raise_type_error(__pyx_CyFunctionObject *func, const char* message) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
    if (!py_name) return;
    PyErr_Format(PyExc_TypeError,
        "%.200S() %s",
        py_name, message);
    Py_DECREF(py_name);
#else
    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
    PyErr_Format(PyExc_TypeError,
        "%.200s() %s",
        name, message);
#endif
}
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *
__Pyx_CyFunction_get_module(__pyx_CyFunctionObject *op, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_GetAttrString(op->func, "__module__");
}
static int
__Pyx_CyFunction_set_module(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_SetAttrString(op->func, "__module__", value);
}
#endif
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {"func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {"__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {"func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {"__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {"__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {"func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {"__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {"func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {"__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {"func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {"__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {"func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {"__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {"func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {"__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {"__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {"__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {"_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", (getter)__Pyx_CyFunction_get_module, (setter)__Pyx_CyFunction_set_module, 0, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
#if !CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
#endif
    {"__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
#if CYTHON_METH_FASTCALL
#if CYTHON_BACKPORT_VECTORCALL || CYTHON_COMPILING_IN_LIMITED_API
    {"__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0},
#else
    {"__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0},
#else
    {"__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
#endif
#endif
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, PyObject *args)
{
    PyObject *result = NULL;
    CYTHON_UNUSED_VAR(args);
    __Pyx_BEGIN_CRITICAL_SECTION(m);
    Py_INCREF(m->func_qualname);
    result = m->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->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 !CYTHON_COMPILING_IN_LIMITED_API
    PyCFunctionObject *cf = (PyCFunctionObject*) op;
#endif
    if (unlikely(op == NULL))
        return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    op->func = PyCFunction_NewEx(ml, (PyObject*)op, module);
    if (unlikely(!op->func)) return NULL;
#endif
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
#if !CYTHON_COMPILING_IN_LIMITED_API
    cf->m_ml = ml;
    cf->m_self = (PyObject *) op;
#endif
    Py_XINCREF(closure);
    op->func_closure = closure;
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_XINCREF(module);
    cf->m_module = module;
#endif
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    op->func_classobj = NULL;
#else
    ((PyCMethodObject*)op)->mm_class = NULL;
#endif
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    op->func_is_coroutine = NULL;
#if CYTHON_METH_FASTCALL
    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) {
    case METH_NOARGS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS;
        break;
    case METH_O:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O;
        break;
    case METH_METHOD | METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD;
        break;
    case METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS;
        break;
    case METH_VARARGS | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = NULL;
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        Py_DECREF(op);
        return NULL;
    }
#endif
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func);
#else
    Py_CLEAR(((PyCFunctionObject*)m)->m_module);
#endif
    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);
#if !CYTHON_COMPILING_IN_LIMITED_API
#if PY_VERSION_HEX < 0x030900B1
    Py_CLEAR(__Pyx_CyFunction_GetClassObj(m));
#else
    {
        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
        ((PyCMethodObject *) (m))->mm_class = NULL;
        Py_XDECREF(cls);
    }
#endif
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    Py_CLEAR(m->func_is_coroutine);
    Py_CLEAR(m->defaults);
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    __Pyx_PyHeapTypeObject_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)
{
    {
        int e = __Pyx_call_type_traverse((PyObject*)m, 1, visit, arg);
        if (e) return e;
    }
    Py_VISIT(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func);
#else
    Py_VISIT(((PyCFunctionObject*)m)->m_module);
#endif
    Py_VISIT(m->func_dict);
    __Pyx_VISIT_CONST(m->func_name);
    __Pyx_VISIT_CONST(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    __Pyx_VISIT_CONST(m->func_code);
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(__Pyx_CyFunction_GetClassObj(m));
#endif
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_is_coroutine);
    Py_VISIT(m->defaults);
    return 0;
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
    PyObject *repr;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    repr = PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
    __Pyx_END_CRITICAL_SECTION();
    return repr;
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *f = ((__pyx_CyFunctionObject*)func)->func;
    PyCFunction meth;
    int flags;
    meth = PyCFunction_GetFunction(f);
    if (unlikely(!meth)) return NULL;
    flags = PyCFunction_GetFlags(f);
    if (unlikely(flags < 0)) return NULL;
#else
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    int flags = f->m_ml->ml_flags;
#endif
    Py_ssize_t size;
    switch (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(*)(void))meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_SIZE
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 0))
                return (*meth)(self, NULL);
            __Pyx_CyFunction_raise_argument_count_error(
                (__pyx_CyFunctionObject*)func,
                "takes no arguments", size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_SIZE
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = __Pyx_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;
            }
            __Pyx_CyFunction_raise_argument_count_error(
                (__pyx_CyFunctionObject*)func,
                "takes exactly one argument", size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        return NULL;
    }
    __Pyx_CyFunction_raise_type_error(
        (__pyx_CyFunctionObject*)func, "takes no keyword arguments");
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *self, *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)func)->func);
    if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
    self = ((PyCFunctionObject*)func)->m_self;
#endif
    result = __Pyx_CyFunction_CallMethod(func, self, arg, kw);
    return result;
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
#if CYTHON_METH_FASTCALL && (CYTHON_VECTORCALL || CYTHON_BACKPORT_VECTORCALL)
     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
    if (vc) {
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw);
#else
        (void) &__Pyx_PyVectorcall_FastCallDict;
        return PyVectorcall_Call(func, args, kw);
#endif
    }
#endif
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
#if CYTHON_ASSUME_SAFE_SIZE
        argc = PyTuple_GET_SIZE(args);
#else
        argc = PyTuple_Size(args);
        if (unlikely(argc < 0)) return NULL;
#endif
        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;
}
#if CYTHON_METH_FASTCALL && (CYTHON_VECTORCALL || CYTHON_BACKPORT_VECTORCALL)
static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(__pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames)
{
    int ret = 0;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        if (unlikely(nargs < 1)) {
            __Pyx_CyFunction_raise_type_error(
                cyfunc, "needs an argument");
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(__Pyx_PyTuple_GET_SIZE(kwnames))) {
        __Pyx_CyFunction_raise_type_error(
            cyfunc, "takes no keyword arguments");
        return -1;
    }
    return ret;
}
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        __Pyx_CyFunction_raise_argument_count_error(
            cyfunc, "takes no arguments", nargs);
        return NULL;
    }
    return meth(self, NULL);
}
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        __Pyx_CyFunction_raise_argument_count_error(
            cyfunc, "takes exactly one argument", nargs);
        return NULL;
    }
    return meth(self, args[0]);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))meth)(self, args, nargs, kwnames);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyTypeObject *cls = (PyTypeObject *) __Pyx_CyFunction_GetClassObj(cyfunc);
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCMethod)(void(*)(void))meth)(self, cls, args, (size_t)nargs, kwnames);
}
#endif
static PyType_Slot __pyx_CyFunctionType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc},
    {Py_tp_repr, (void *)__Pyx_CyFunction_repr},
    {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod},
    {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse},
    {Py_tp_clear, (void *)__Pyx_CyFunction_clear},
    {Py_tp_methods, (void *)__pyx_CyFunction_methods},
    {Py_tp_members, (void *)__pyx_CyFunction_members},
    {Py_tp_getset, (void *)__pyx_CyFunction_getsets},
    {Py_tp_descr_get, (void *)__Pyx_PyMethod_New},
    {0, 0},
};
static PyType_Spec __pyx_CyFunctionType_spec = {
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if CYTHON_METH_FASTCALL
#if defined(Py_TPFLAGS_HAVE_VECTORCALL)
    Py_TPFLAGS_HAVE_VECTORCALL |
#elif defined(_Py_TPFLAGS_HAVE_VECTORCALL)
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
#endif // CYTHON_METH_FASTCALL
#if PY_VERSION_HEX >= 0x030A0000
    Py_TPFLAGS_IMMUTABLETYPE |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    __pyx_CyFunctionType_slots
};
static int __pyx_CyFunction_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    mstate->__pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(
        mstate->__pyx_CommonTypesMetaclassType, module, &__pyx_CyFunctionType_spec, NULL);
    if (unlikely(mstate->__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func, PyTypeObject *defaults_type) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_CallObject((PyObject*)defaults_type, NULL); // _PyObject_New(defaults_type);
    if (unlikely(!m->defaults))
        return NULL;
    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_mstate_global->__pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}

/* Py3UpdateBases */
static PyObject*
__Pyx_PEP560_update_bases(PyObject *bases)
{
    Py_ssize_t i, j, size_bases;
    PyObject *base = NULL, *meth, *new_base, *result, *new_bases = NULL;
#if CYTHON_ASSUME_SAFE_SIZE
    size_bases = PyTuple_GET_SIZE(bases);
#else
    size_bases = PyTuple_Size(bases);
    if (size_bases < 0) return NULL;
#endif
    for (i = 0; i < size_bases; i++) {
#if CYTHON_AVOID_BORROWED_REFS
        Py_CLEAR(base);
#endif
#if CYTHON_ASSUME_SAFE_MACROS
        base = PyTuple_GET_ITEM(bases, i);
#else
        base = PyTuple_GetItem(bases, i);
        if (!base) goto error;
#endif
#if CYTHON_AVOID_BORROWED_REFS
        Py_INCREF(base);
#endif
        if (PyType_Check(base)) {
            if (new_bases) {
                if (PyList_Append(new_bases, base) < 0) {
                    goto error;
                }
            }
            continue;
        }
        meth = __Pyx_PyObject_GetAttrStrNoError(base, __pyx_mstate_global->__pyx_n_u_mro_entries);
        if (!meth && PyErr_Occurred()) {
            goto error;
        }
        if (!meth) {
            if (new_bases) {
                if (PyList_Append(new_bases, base) < 0) {
                    goto error;
                }
            }
            continue;
        }
        new_base = __Pyx_PyObject_CallOneArg(meth, bases);
        Py_DECREF(meth);
        if (!new_base) {
            goto error;
        }
        if (!PyTuple_Check(new_base)) {
            PyErr_SetString(PyExc_TypeError,
                            "__mro_entries__ must return a tuple");
            Py_DECREF(new_base);
            goto error;
        }
        if (!new_bases) {
            if (!(new_bases = PyList_New(i))) {
                goto error;
            }
            for (j = 0; j < i; j++) {
                PyObject *base_from_list;
#if CYTHON_ASSUME_SAFE_MACROS
                base_from_list = PyTuple_GET_ITEM(bases, j);
                PyList_SET_ITEM(new_bases, j, base_from_list);
                Py_INCREF(base_from_list);
#else
                base_from_list = PyTuple_GetItem(bases, j);
                if (!base_from_list) goto error;
                Py_INCREF(base_from_list);
                if (PyList_SetItem(new_bases, j, base_from_list) < 0) goto error;
#endif
            }
        }
#if CYTHON_ASSUME_SAFE_SIZE
        j = PyList_GET_SIZE(new_bases);
#else
        j = PyList_Size(new_bases);
        if (j < 0) goto error;
#endif
        if (PyList_SetSlice(new_bases, j, j, new_base) < 0) {
            goto error;
        }
        Py_DECREF(new_base);
    }
    if (!new_bases) {
        Py_INCREF(bases);
        return bases;
    }
    result = PyList_AsTuple(new_bases);
    Py_DECREF(new_bases);
#if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(base);
#endif
    return result;
error:
    Py_XDECREF(new_bases);
#if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(base);
#endif
    return NULL;
}

/* CalculateMetaclass */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases;
#if CYTHON_ASSUME_SAFE_SIZE
    nbases = PyTuple_GET_SIZE(bases);
#else
    nbases = PyTuple_Size(bases);
    if (nbases < 0) return NULL;
#endif
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
#if CYTHON_ASSUME_SAFE_MACROS
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
#else
        PyObject *tmp = PyTuple_GetItem(bases, i);
        if (!tmp) return NULL;
#endif
        tmptype = Py_TYPE(tmp);
        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) {
        metaclass = &PyType_Type;
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}

/* PyObjectLookupSpecial */
#if CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx__PyObject_LookupSpecial(PyObject* obj, PyObject* attr_name, int with_error) {
    PyObject *res;
    PyTypeObject *tp = Py_TYPE(obj);
    res = _PyType_Lookup(tp, attr_name);
    if (likely(res)) {
        descrgetfunc f = Py_TYPE(res)->tp_descr_get;
        if (!f) {
            Py_INCREF(res);
        } else {
            res = f(res, obj, (PyObject *)tp);
        }
    } else if (with_error) {
        PyErr_SetObject(PyExc_AttributeError, attr_name);
    }
    return res;
}
#endif

/* 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_GetAttrStrNoError(metaclass, __pyx_mstate_global->__pyx_n_u_prepare);
        if (prep) {
            PyObject *pargs[3] = {NULL, name, bases};
            ns = __Pyx_PyObject_FastCallDict(prep, pargs+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, mkw);
            Py_DECREF(prep);
        } else {
            if (unlikely(PyErr_Occurred()))
                return NULL;
            ns = PyDict_New();
        }
    } else {
        ns = PyDict_New();
    }
    if (unlikely(!ns))
        return NULL;
    if (unlikely(PyObject_SetItem(ns, __pyx_mstate_global->__pyx_n_u_module, modname) < 0)) goto bad;
    if (unlikely(PyObject_SetItem(ns, __pyx_mstate_global->__pyx_n_u_qualname, qualname) < 0)) goto bad;
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_mstate_global->__pyx_n_u_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;
    PyObject *owned_metaclass = NULL;
    PyObject *margs[4] = {NULL, name, bases, dict};
    if (allow_py2_metaclass) {
        owned_metaclass = PyObject_GetItem(dict, __pyx_mstate_global->__pyx_n_u_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;
    }
    result = __Pyx_PyObject_FastCallDict(metaclass, margs+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, mkw);
    Py_XDECREF(owned_metaclass);
    return result;
}

/* CLineInTraceback */
#if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    CYTHON_MAYBE_UNUSED_VAR(tstate);
    if (unlikely(!__pyx_mstate_global->__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_mstate_global->__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __Pyx_BEGIN_CRITICAL_SECTION(*cython_runtime_dict);
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, *cython_runtime_dict,
            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_mstate_global->__pyx_n_u_cline_in_traceback))
        Py_XINCREF(use_cline);
        __Pyx_END_CRITICAL_SECTION();
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStrNoError(__pyx_mstate_global->__pyx_cython_runtime, __pyx_mstate_global->__pyx_n_u_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_INCREF(use_cline);
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        (void) PyObject_SetAttr(__pyx_mstate_global->__pyx_cython_runtime, __pyx_mstate_global->__pyx_n_u_cline_in_traceback, Py_False);
    }
    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    Py_XDECREF(use_cline);
    __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 __Pyx_CachedCodeObjectType *__pyx__find_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line) {
    __Pyx_CachedCodeObjectType* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!code_cache->entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(code_cache->entries, code_cache->count, code_line);
    if (unlikely(pos >= code_cache->count) || unlikely(code_cache->entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = code_cache->entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line) {
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS
    (void)__pyx__find_code_object;
    return NULL; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just miss.
#else
    struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_nonatomic_int_type old_count = __pyx_atomic_incr_acq_rel(&code_cache->accessor_count);
    if (old_count < 0) {
        __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);
        return NULL;
    }
#endif
    __Pyx_CachedCodeObjectType *result = __pyx__find_code_object(code_cache, code_line);
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);
#endif
    return result;
#endif
}
static void __pyx__insert_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line, __Pyx_CachedCodeObjectType* code_object)
{
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = code_cache->entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            code_cache->entries = entries;
            code_cache->max_count = 64;
            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(code_cache->entries, code_cache->count, code_line);
    if ((pos < code_cache->count) && unlikely(code_cache->entries[pos].code_line == code_line)) {
        __Pyx_CachedCodeObjectType* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_INCREF(code_object);
        Py_DECREF(tmp);
        return;
    }
    if (code_cache->count == code_cache->max_count) {
        int new_max = code_cache->max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            code_cache->entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        code_cache->entries = entries;
        code_cache->max_count = new_max;
    }
    for (i=code_cache->count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    code_cache->count++;
    Py_INCREF(code_object);
}
static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object) {
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS
    (void)__pyx__insert_code_object;
    return; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just fail.
#else
    struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_nonatomic_int_type expected = 0;
    if (!__pyx_atomic_int_cmp_exchange(&code_cache->accessor_count, &expected, INT_MIN)) {
        return;
    }
#endif
    __pyx__insert_code_object(code_cache, code_line, code_object);
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_atomic_sub(&code_cache->accessor_count, INT_MIN);
#endif
#endif
}

/* AddTraceback */
#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API && !defined(PYPY_VERSION)
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyCode_Replace_For_AddTraceback(PyObject *code, PyObject *scratch_dict,
                                                       PyObject *firstlineno, PyObject *name) {
    PyObject *replace = NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_firstlineno", firstlineno))) return NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_name", name))) return NULL;
    replace = PyObject_GetAttrString(code, "replace");
    if (likely(replace)) {
        PyObject *result = PyObject_Call(replace, __pyx_mstate_global->__pyx_empty_tuple, scratch_dict);
        Py_DECREF(replace);
        return result;
    }
    PyErr_Clear();
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyObject *code_object = NULL, *py_py_line = NULL, *py_funcname = NULL, *dict = NULL;
    PyObject *replace = NULL, *getframe = NULL, *frame = NULL;
    PyObject *exc_type, *exc_value, *exc_traceback;
    int success = 0;
    if (c_line) {
        (void) __pyx_cfilenm;
        (void) __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    PyErr_Fetch(&exc_type, &exc_value, &exc_traceback);
    code_object = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!code_object) {
        code_object = Py_CompileString("_getframe()", filename, Py_eval_input);
        if (unlikely(!code_object)) goto bad;
        py_py_line = PyLong_FromLong(py_line);
        if (unlikely(!py_py_line)) goto bad;
        py_funcname = PyUnicode_FromString(funcname);
        if (unlikely(!py_funcname)) goto bad;
        dict = PyDict_New();
        if (unlikely(!dict)) goto bad;
        {
            PyObject *old_code_object = code_object;
            code_object = __Pyx_PyCode_Replace_For_AddTraceback(code_object, dict, py_py_line, py_funcname);
            Py_DECREF(old_code_object);
        }
        if (unlikely(!code_object)) goto bad;
        __pyx_insert_code_object(c_line ? -c_line : py_line, code_object);
    } else {
        dict = PyDict_New();
    }
    getframe = PySys_GetObject("_getframe");
    if (unlikely(!getframe)) goto bad;
    if (unlikely(PyDict_SetItemString(dict, "_getframe", getframe))) goto bad;
    frame = PyEval_EvalCode(code_object, dict, dict);
    if (unlikely(!frame) || frame == Py_None) goto bad;
    success = 1;
  bad:
    PyErr_Restore(exc_type, exc_value, exc_traceback);
    Py_XDECREF(code_object);
    Py_XDECREF(py_py_line);
    Py_XDECREF(py_funcname);
    Py_XDECREF(dict);
    Py_XDECREF(replace);
    if (success) {
        PyTraceBack_Here(
            (struct _frame*)frame);
    }
    Py_XDECREF(frame);
}
#else
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 (c_line) {
        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;
    }
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    Py_XDECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    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_mstate_global->__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);
}
#endif

/* CIntFromPyVerify */
#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyLong_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 PyLong_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#if defined(HAVE_LONG_LONG) && !CYTHON_COMPILING_IN_PYPY
        } 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 PyLong_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
        if (is_unsigned) {
            return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
        } else {
            return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
        }
#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
        int one = 1; int little = (int)*(unsigned char *)&one;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
#else
        int one = 1; int little = (int)*(unsigned char *)&one;
        PyObject *from_bytes, *result = NULL, *kwds = NULL;
        PyObject *py_bytes = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(int));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        {
            PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str };
            if (!is_unsigned) {
                kwds = __Pyx_MakeVectorcallBuilderKwds(1);
                if (!kwds) goto limited_bad;
                if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad;
            }
            result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
        }
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes);
        return result;
#endif
    }
}

/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyLong_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 (unlikely(!PyLong_Check(x))) {
        int val;
        PyObject *tmp = __Pyx_PyNumber_Long(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyLong_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
    if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
        if (unlikely(__Pyx_PyLong_IsNeg(x))) {
            goto raise_neg_overflow;
        } else if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
        } else {
            const digit* digits = __Pyx_PyLong_Digits(x);
            assert(__Pyx_PyLong_DigitCount(x) > 1);
            switch (__Pyx_PyLong_DigitCount(x)) {
                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 && PY_VERSION_HEX < 0x030C00A7
        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
        if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
        } else {
            const digit* digits = __Pyx_PyLong_Digits(x);
            assert(__Pyx_PyLong_DigitCount(x) > 1);
            switch (__Pyx_PyLong_SignedDigitCount(x)) {
                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
        }
    }
    {
        int val;
        int ret = -1;
#if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
        Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
            x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
        if (unlikely(bytes_copied == -1)) {
        } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
            goto raise_overflow;
        } else {
            ret = 0;
        }
#elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
        int one = 1; int is_little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&val;
        ret = _PyLong_AsByteArray((PyLongObject *)x,
                                    bytes, sizeof(val),
                                    is_little, !is_unsigned);
#else
        PyObject *v;
        PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
        int bits, remaining_bits, is_negative = 0;
        int chunk_size = (sizeof(long) < 8) ? 30 : 62;
        if (likely(PyLong_CheckExact(x))) {
            v = __Pyx_NewRef(x);
        } else {
            v = PyNumber_Long(x);
            if (unlikely(!v)) return (int) -1;
            assert(PyLong_CheckExact(v));
        }
        {
            int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
            if (unlikely(result < 0)) {
                Py_DECREF(v);
                return (int) -1;
            }
            is_negative = result == 1;
        }
        if (is_unsigned && unlikely(is_negative)) {
            Py_DECREF(v);
            goto raise_neg_overflow;
        } else if (is_negative) {
            stepval = PyNumber_Invert(v);
            Py_DECREF(v);
            if (unlikely(!stepval))
                return (int) -1;
        } else {
            stepval = v;
        }
        v = NULL;
        val = (int) 0;
        mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
        shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
        for (bits = 0; bits < (int) sizeof(int) * 8 - chunk_size; bits += chunk_size) {
            PyObject *tmp, *digit;
            long idigit;
            digit = PyNumber_And(stepval, mask);
            if (unlikely(!digit)) goto done;
            idigit = PyLong_AsLong(digit);
            Py_DECREF(digit);
            if (unlikely(idigit < 0)) goto done;
            val |= ((int) idigit) << bits;
            tmp = PyNumber_Rshift(stepval, shift);
            if (unlikely(!tmp)) goto done;
            Py_DECREF(stepval); stepval = tmp;
        }
        Py_DECREF(shift); shift = NULL;
        Py_DECREF(mask); mask = NULL;
        {
            long idigit = PyLong_AsLong(stepval);
            if (unlikely(idigit < 0)) goto done;
            remaining_bits = ((int) sizeof(int) * 8) - bits - (is_unsigned ? 0 : 1);
            if (unlikely(idigit >= (1L << remaining_bits)))
                goto raise_overflow;
            val |= ((int) idigit) << bits;
        }
        if (!is_unsigned) {
            if (unlikely(val & (((int) 1) << (sizeof(int) * 8 - 1))))
                goto raise_overflow;
            if (is_negative)
                val = ~val;
        }
        ret = 0;
    done:
        Py_XDECREF(shift);
        Py_XDECREF(mask);
        Py_XDECREF(stepval);
#endif
        if (unlikely(ret))
            return (int) -1;
        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_PyLong_From_char(char value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const char neg_one = (char) -1, const_zero = (char) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(char) < sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(char) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#if defined(HAVE_LONG_LONG) && !CYTHON_COMPILING_IN_PYPY
        } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(char) <= sizeof(long)) {
            return PyLong_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
        if (is_unsigned) {
            return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
        } else {
            return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
        }
#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
        int one = 1; int little = (int)*(unsigned char *)&one;
        return _PyLong_FromByteArray(bytes, sizeof(char),
                                     little, !is_unsigned);
#else
        int one = 1; int little = (int)*(unsigned char *)&one;
        PyObject *from_bytes, *result = NULL, *kwds = NULL;
        PyObject *py_bytes = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(char));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        {
            PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str };
            if (!is_unsigned) {
                kwds = __Pyx_MakeVectorcallBuilderKwds(1);
                if (!kwds) goto limited_bad;
                if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad;
            }
            result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
        }
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes);
        return result;
#endif
    }
}

/* FormatTypeName */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
static __Pyx_TypeName
__Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp)
{
    PyObject *module = NULL, *name = NULL, *result = NULL;
    #if __PYX_LIMITED_VERSION_HEX < 0x030b0000
    name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_mstate_global->__pyx_n_u_qualname);
    #else
    name = PyType_GetQualName(tp);
    #endif
    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) goto bad;
    module = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_mstate_global->__pyx_n_u_module);
    if (unlikely(module == NULL) || unlikely(!PyUnicode_Check(module))) goto bad;
    if (PyUnicode_CompareWithASCIIString(module, "builtins") == 0) {
        result = name;
        name = NULL;
        goto done;
    }
    result = PyUnicode_FromFormat("%U.%U", module, name);
    if (unlikely(result == NULL)) goto bad;
  done:
    Py_XDECREF(name);
    Py_XDECREF(module);
    return result;
  bad:
    PyErr_Clear();
    if (name) {
        result = name;
        name = NULL;
    } else {
        result = __Pyx_NewRef(__pyx_mstate_global->__pyx_kp_u__35);
    }
    goto done;
}
#endif

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyLong_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 PyLong_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#if defined(HAVE_LONG_LONG) && !CYTHON_COMPILING_IN_PYPY
        } 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 PyLong_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
        if (is_unsigned) {
            return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
        } else {
            return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
        }
#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
        int one = 1; int little = (int)*(unsigned char *)&one;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
#else
        int one = 1; int little = (int)*(unsigned char *)&one;
        PyObject *from_bytes, *result = NULL, *kwds = NULL;
        PyObject *py_bytes = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(long));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        {
            PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str };
            if (!is_unsigned) {
                kwds = __Pyx_MakeVectorcallBuilderKwds(1);
                if (!kwds) goto limited_bad;
                if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad;
            }
            result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
        }
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes);
        return result;
#endif
    }
}

/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyLong_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 (unlikely(!PyLong_Check(x))) {
        long val;
        PyObject *tmp = __Pyx_PyNumber_Long(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyLong_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
    if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
        if (unlikely(__Pyx_PyLong_IsNeg(x))) {
            goto raise_neg_overflow;
        } else if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
        } else {
            const digit* digits = __Pyx_PyLong_Digits(x);
            assert(__Pyx_PyLong_DigitCount(x) > 1);
            switch (__Pyx_PyLong_DigitCount(x)) {
                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 && PY_VERSION_HEX < 0x030C00A7
        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
        if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
        } else {
            const digit* digits = __Pyx_PyLong_Digits(x);
            assert(__Pyx_PyLong_DigitCount(x) > 1);
            switch (__Pyx_PyLong_SignedDigitCount(x)) {
                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
        }
    }
    {
        long val;
        int ret = -1;
#if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
        Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
            x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
        if (unlikely(bytes_copied == -1)) {
        } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
            goto raise_overflow;
        } else {
            ret = 0;
        }
#elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
        int one = 1; int is_little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&val;
        ret = _PyLong_AsByteArray((PyLongObject *)x,
                                    bytes, sizeof(val),
                                    is_little, !is_unsigned);
#else
        PyObject *v;
        PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
        int bits, remaining_bits, is_negative = 0;
        int chunk_size = (sizeof(long) < 8) ? 30 : 62;
        if (likely(PyLong_CheckExact(x))) {
            v = __Pyx_NewRef(x);
        } else {
            v = PyNumber_Long(x);
            if (unlikely(!v)) return (long) -1;
            assert(PyLong_CheckExact(v));
        }
        {
            int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
            if (unlikely(result < 0)) {
                Py_DECREF(v);
                return (long) -1;
            }
            is_negative = result == 1;
        }
        if (is_unsigned && unlikely(is_negative)) {
            Py_DECREF(v);
            goto raise_neg_overflow;
        } else if (is_negative) {
            stepval = PyNumber_Invert(v);
            Py_DECREF(v);
            if (unlikely(!stepval))
                return (long) -1;
        } else {
            stepval = v;
        }
        v = NULL;
        val = (long) 0;
        mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
        shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
        for (bits = 0; bits < (int) sizeof(long) * 8 - chunk_size; bits += chunk_size) {
            PyObject *tmp, *digit;
            long idigit;
            digit = PyNumber_And(stepval, mask);
            if (unlikely(!digit)) goto done;
            idigit = PyLong_AsLong(digit);
            Py_DECREF(digit);
            if (unlikely(idigit < 0)) goto done;
            val |= ((long) idigit) << bits;
            tmp = PyNumber_Rshift(stepval, shift);
            if (unlikely(!tmp)) goto done;
            Py_DECREF(stepval); stepval = tmp;
        }
        Py_DECREF(shift); shift = NULL;
        Py_DECREF(mask); mask = NULL;
        {
            long idigit = PyLong_AsLong(stepval);
            if (unlikely(idigit < 0)) goto done;
            remaining_bits = ((int) sizeof(long) * 8) - bits - (is_unsigned ? 0 : 1);
            if (unlikely(idigit >= (1L << remaining_bits)))
                goto raise_overflow;
            val |= ((long) idigit) << bits;
        }
        if (!is_unsigned) {
            if (unlikely(val & (((long) 1) << (sizeof(long) * 8 - 1))))
                goto raise_overflow;
            if (is_negative)
                val = ~val;
        }
        ret = 0;
    done:
        Py_XDECREF(shift);
        Py_XDECREF(mask);
        Py_XDECREF(stepval);
#endif
        if (unlikely(ret))
            return (long) -1;
        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;
}

/* GetRuntimeVersion */
static unsigned long __Pyx_get_runtime_version(void) {
#if __PYX_LIMITED_VERSION_HEX >= 0x030b0000
    return Py_Version & ~0xFFUL;
#else
    static unsigned long __Pyx_cached_runtime_version = 0;
    if (__Pyx_cached_runtime_version == 0) {
        const char* rt_version = Py_GetVersion();
        unsigned long version = 0;
        unsigned long factor = 0x01000000UL;
        unsigned int digit = 0;
        int i = 0;
        while (factor) {
            while ('0' <= rt_version[i] && rt_version[i] <= '9') {
                digit = digit * 10 + (unsigned int) (rt_version[i] - '0');
                ++i;
            }
            version += factor * digit;
            if (rt_version[i] != '.')
                break;
            digit = 0;
            factor >>= 8;
            ++i;
        }
        __Pyx_cached_runtime_version = version;
    }
    return __Pyx_cached_runtime_version;
#endif
}

/* CheckBinaryVersion */
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer) {
    const unsigned long MAJOR_MINOR = 0xFFFF0000UL;
    if ((rt_version & MAJOR_MINOR) == (ct_version & MAJOR_MINOR))
        return 0;
    if (likely(allow_newer && (rt_version & MAJOR_MINOR) > (ct_version & MAJOR_MINOR)))
        return 1;
    {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compile time Python version %d.%d "
                      "of module '%.100s' "
                      "%s "
                      "runtime version %d.%d",
                       (int) (ct_version >> 24), (int) ((ct_version >> 16) & 0xFF),
                       __Pyx_MODULE_NAME,
                       (allow_newer) ? "was newer than" : "does not match",
                       (int) (rt_version >> 24), (int) ((rt_version >> 16) & 0xFF)
       );
        return PyErr_WarnEx(NULL, message, 1);
    }
}

/* FunctionImport */
#ifndef __PYX_HAVE_RT_ImportFunction_3_1_2
#define __PYX_HAVE_RT_ImportFunction_3_1_2
static int __Pyx_ImportFunction_3_1_2(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    d = PyObject_GetAttrString(module, "__pyx_capi__");
    if (!d)
        goto bad;
#if (defined(Py_LIMITED_API) && Py_LIMITED_API >= 0x030d0000) || (!defined(Py_LIMITED_API) && PY_VERSION_HEX >= 0x030d0000)
    PyDict_GetItemStringRef(d, funcname, &cobj);
#else
    cobj = PyDict_GetItemString(d, funcname);
    Py_XINCREF(cobj);
#endif
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%.200s does not export expected C function %.200s",
                PyModule_GetName(module), funcname);
        goto bad;
    }
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    tmp.p = PyCapsule_GetPointer(cobj, sig);
    *f = tmp.fp;
    if (!(*f))
        goto bad;
    Py_DECREF(d);
    Py_DECREF(cobj);
    return 0;
bad:
    Py_XDECREF(d);
    Py_XDECREF(cobj);
    return -1;
}
#endif

/* NewCodeObj */
#if CYTHON_COMPILING_IN_LIMITED_API
    static PyObject* __Pyx__PyCode_New(int a, int p, 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 *exception_table = NULL;
        PyObject *types_module=NULL, *code_type=NULL, *result=NULL;
        #if __PYX_LIMITED_VERSION_HEX < 0x030b0000
        PyObject *version_info;
        PyObject *py_minor_version = NULL;
        #endif
        long minor_version = 0;
        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        #if __PYX_LIMITED_VERSION_HEX >= 0x030b0000
        minor_version = 11;
        #else
        if (!(version_info = PySys_GetObject("version_info"))) goto end;
        if (!(py_minor_version = PySequence_GetItem(version_info, 1))) goto end;
        minor_version = PyLong_AsLong(py_minor_version);
        Py_DECREF(py_minor_version);
        if (minor_version == -1 && PyErr_Occurred()) goto end;
        #endif
        if (!(types_module = PyImport_ImportModule("types"))) goto end;
        if (!(code_type = PyObject_GetAttrString(types_module, "CodeType"))) goto end;
        if (minor_version <= 7) {
            (void)p;
            result = PyObject_CallFunction(code_type, "iiiiiOOOOOOiOOO", a, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else if (minor_version <= 10) {
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOiOOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else {
            if (!(exception_table = PyBytes_FromStringAndSize(NULL, 0))) goto end;
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOOiOOOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, name, fline, lnos, exception_table, fv, cell);
        }
    end:
        Py_XDECREF(code_type);
        Py_XDECREF(exception_table);
        Py_XDECREF(types_module);
        if (type) {
            PyErr_Restore(type, value, traceback);
        }
        return result;
    }
#elif PY_VERSION_HEX >= 0x030B0000
  static PyCodeObject* __Pyx__PyCode_New(int a, int p, 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) {
    PyCodeObject *result;
    result =
      #if PY_VERSION_HEX >= 0x030C0000
        PyUnstable_Code_NewWithPosOnlyArgs
      #else
        PyCode_NewWithPosOnlyArgs
      #endif
        (a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, name, fline, lnos, __pyx_mstate_global->__pyx_empty_bytes);
    return result;
  }
#elif PY_VERSION_HEX >= 0x030800B2 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx__PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_NewWithPosOnlyArgs(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx__PyCode_New(a, p, 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
static PyObject* __Pyx_PyCode_New(
        const __Pyx_PyCode_New_function_description descr,
        PyObject * const *varnames,
        PyObject *filename,
        PyObject *funcname,
        const char *line_table,
        PyObject *tuple_dedup_map
) {
    PyObject *code_obj = NULL, *varnames_tuple_dedup = NULL, *code_bytes = NULL, *line_table_bytes = NULL;
    Py_ssize_t var_count = (Py_ssize_t) descr.nlocals;
    PyObject *varnames_tuple = PyTuple_New(var_count);
    if (unlikely(!varnames_tuple)) return NULL;
    for (Py_ssize_t i=0; i < var_count; i++) {
        Py_INCREF(varnames[i]);
        if (__Pyx_PyTuple_SET_ITEM(varnames_tuple, i, varnames[i]) != (0)) goto done;
    }
    #if CYTHON_COMPILING_IN_LIMITED_API
    varnames_tuple_dedup = PyDict_GetItem(tuple_dedup_map, varnames_tuple);
    if (!varnames_tuple_dedup) {
        if (unlikely(PyDict_SetItem(tuple_dedup_map, varnames_tuple, varnames_tuple) < 0)) goto done;
        varnames_tuple_dedup = varnames_tuple;
    }
    #else
    varnames_tuple_dedup = PyDict_SetDefault(tuple_dedup_map, varnames_tuple, varnames_tuple);
    if (unlikely(!varnames_tuple_dedup)) goto done;
    #endif
    #if CYTHON_AVOID_BORROWED_REFS
    Py_INCREF(varnames_tuple_dedup);
    #endif
    if (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table != NULL
        && !CYTHON_COMPILING_IN_GRAAL) {
        line_table_bytes = PyBytes_FromStringAndSize(line_table, descr.line_table_length);
        if (unlikely(!line_table_bytes)) goto done;
        Py_ssize_t code_len = (descr.line_table_length * 2 + 4) & ~3;
        code_bytes = PyBytes_FromStringAndSize(NULL, code_len);
        if (unlikely(!code_bytes)) goto done;
        char* c_code_bytes = PyBytes_AsString(code_bytes);
        if (unlikely(!c_code_bytes)) goto done;
        memset(c_code_bytes, 0, (size_t) code_len);
    }
    code_obj = (PyObject*) __Pyx__PyCode_New(
        (int) descr.argcount,
        (int) descr.num_posonly_args,
        (int) descr.num_kwonly_args,
        (int) descr.nlocals,
        0,
        (int) descr.flags,
        code_bytes ? code_bytes : __pyx_mstate_global->__pyx_empty_bytes,
        __pyx_mstate_global->__pyx_empty_tuple,
        __pyx_mstate_global->__pyx_empty_tuple,
        varnames_tuple_dedup,
        __pyx_mstate_global->__pyx_empty_tuple,
        __pyx_mstate_global->__pyx_empty_tuple,
        filename,
        funcname,
        (int) descr.first_line,
        (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table_bytes) ? line_table_bytes : __pyx_mstate_global->__pyx_empty_bytes
    );
done:
    Py_XDECREF(code_bytes);
    Py_XDECREF(line_table_bytes);
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(varnames_tuple_dedup);
    #endif
    Py_DECREF(varnames_tuple);
    return code_obj;
}

/* InitStrings */
static int __Pyx_InitStrings(__Pyx_StringTabEntry const *t, PyObject **target, const char* const* encoding_names) {
    while (t->s) {
        PyObject *str;
        if (t->is_unicode) {
            if (t->intern) {
                str = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                str = PyUnicode_Decode(t->s, t->n - 1, encoding_names[t->encoding], NULL);
            } else {
                str = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            str = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        if (!str)
            return -1;
        *target = str;
        if (PyObject_Hash(str) == -1)
            return -1;
        ++t;
        ++target;
    }
    return 0;
}

#include <string.h>
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s) {
    size_t len = strlen(s);
    if (unlikely(len > (size_t) PY_SSIZE_T_MAX)) {
        PyErr_SetString(PyExc_OverflowError, "byte string is too long");
        return -1;
    }
    return (Py_ssize_t) len;
}
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return __Pyx_PyUnicode_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return PyByteArray_FromStringAndSize(c_str, len);
}
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_UTF8
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    {
        const char* result;
        Py_ssize_t unicode_length;
        CYTHON_MAYBE_UNUSED_VAR(unicode_length); // only for __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        #if __PYX_LIMITED_VERSION_HEX < 0x030A0000
        if (unlikely(PyArg_Parse(o, "s#", &result, length) < 0)) return NULL;
        #else
        result = PyUnicode_AsUTF8AndSize(o, length);
        #endif
        #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        unicode_length = PyUnicode_GetLength(o);
        if (unlikely(unicode_length < 0)) return NULL;
        if (unlikely(unicode_length != *length)) {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
        #endif
        return result;
    }
#else
#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_UTF8
    if (PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
    if (PyByteArray_Check(o)) {
#if (CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS) || (CYTHON_COMPILING_IN_PYPY && (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE)))
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
#else
        *length = PyByteArray_Size(o);
        if (*length == -1) return NULL;
        return PyByteArray_AsString(o);
#endif
    } else
    {
        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_LongWrongResultType(PyObject* result) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(result));
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ").  "
                "The ability to return an instance of a strict subclass of int is deprecated, "
                "and may be removed in a future version of Python.",
                result_type_name)) {
            __Pyx_DECREF_TypeName(result_type_name);
            Py_DECREF(result);
            return NULL;
        }
        __Pyx_DECREF_TypeName(result_type_name);
        return result;
    }
    PyErr_Format(PyExc_TypeError,
                 "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ")",
                 result_type_name);
    __Pyx_DECREF_TypeName(result_type_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Long(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  PyObject *res = NULL;
  if (likely(PyLong_Check(x)))
      return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  if (likely(m && m->nb_int)) {
      res = m->nb_int(x);
  }
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
      res = PyNumber_Long(x);
  }
#endif
  if (likely(res)) {
      if (unlikely(!PyLong_CheckExact(res))) {
          return __Pyx_PyNumber_LongWrongResultType(res);
      }
  }
  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 (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(__Pyx_PyLong_IsCompact(b))) {
        return __Pyx_PyLong_CompactValue(b);
    } else {
      const digit* digits = __Pyx_PyLong_Digits(b);
      const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(b);
      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 = PyLong_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);
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyLong_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject *__Pyx_Owned_Py_None(int b) {
    CYTHON_UNUSED_VAR(b);
    return __Pyx_NewRef(Py_None);
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyLong_FromSize_t(size_t ival) {
    return PyLong_FromSize_t(ival);
}


/* MultiPhaseInitModuleState */
#if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE
#ifndef CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
#if (CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX >= 0x030C0000)
  #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 1
#else
  #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 0
#endif
#endif
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE && !CYTHON_ATOMICS
#error "Module state with PEP489 requires atomics. Currently that's one of\
 C11, C++11, gcc atomic intrinsics or MSVC atomic intrinsics"
#endif
#if !CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
#define __Pyx_ModuleStateLookup_Lock()
#define __Pyx_ModuleStateLookup_Unlock()
#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000
static PyMutex __Pyx_ModuleStateLookup_mutex = {0};
#define __Pyx_ModuleStateLookup_Lock() PyMutex_Lock(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() PyMutex_Unlock(&__Pyx_ModuleStateLookup_mutex)
#elif defined(__cplusplus) && __cplusplus >= 201103L
#include <mutex>
static std::mutex __Pyx_ModuleStateLookup_mutex;
#define __Pyx_ModuleStateLookup_Lock() __Pyx_ModuleStateLookup_mutex.lock()
#define __Pyx_ModuleStateLookup_Unlock() __Pyx_ModuleStateLookup_mutex.unlock()
#elif defined(__STDC_VERSION__) && (__STDC_VERSION__ > 201112L) && !defined(__STDC_NO_THREADS__)
#include <threads.h>
static mtx_t __Pyx_ModuleStateLookup_mutex;
static once_flag __Pyx_ModuleStateLookup_mutex_once_flag = ONCE_FLAG_INIT;
static void __Pyx_ModuleStateLookup_initialize_mutex(void) {
    mtx_init(&__Pyx_ModuleStateLookup_mutex, mtx_plain);
}
#define __Pyx_ModuleStateLookup_Lock()\
  call_once(&__Pyx_ModuleStateLookup_mutex_once_flag, __Pyx_ModuleStateLookup_initialize_mutex);\
  mtx_lock(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() mtx_unlock(&__Pyx_ModuleStateLookup_mutex)
#elif defined(HAVE_PTHREAD_H)
#include <pthread.h>
static pthread_mutex_t __Pyx_ModuleStateLookup_mutex = PTHREAD_MUTEX_INITIALIZER;
#define __Pyx_ModuleStateLookup_Lock() pthread_mutex_lock(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() pthread_mutex_unlock(&__Pyx_ModuleStateLookup_mutex)
#elif defined(_WIN32)
#include <Windows.h>  // synchapi.h on its own doesn't work
static SRWLOCK __Pyx_ModuleStateLookup_mutex = SRWLOCK_INIT;
#define __Pyx_ModuleStateLookup_Lock() AcquireSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() ReleaseSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex)
#else
#error "No suitable lock available for CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE.\
 Requires C standard >= C11, or C++ standard >= C++11,\
 or pthreads, or the Windows 32 API, or Python >= 3.13."
#endif
typedef struct {
    int64_t id;
    PyObject *module;
} __Pyx_InterpreterIdAndModule;
typedef struct {
    char interpreter_id_as_index;
    Py_ssize_t count;
    Py_ssize_t allocated;
    __Pyx_InterpreterIdAndModule table[1];
} __Pyx_ModuleStateLookupData;
#define __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE 32
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
static __pyx_atomic_int_type __Pyx_ModuleStateLookup_read_counter = 0;
#endif
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
static __pyx_atomic_ptr_type __Pyx_ModuleStateLookup_data = 0;
#else
static __Pyx_ModuleStateLookupData* __Pyx_ModuleStateLookup_data = NULL;
#endif
static __Pyx_InterpreterIdAndModule* __Pyx_State_FindModuleStateLookupTableLowerBound(
        __Pyx_InterpreterIdAndModule* table,
        Py_ssize_t count,
        int64_t interpreterId) {
    __Pyx_InterpreterIdAndModule* begin = table;
    __Pyx_InterpreterIdAndModule* end = begin + count;
    if (begin->id == interpreterId) {
        return begin;
    }
    while ((end - begin) > __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) {
        __Pyx_InterpreterIdAndModule* halfway = begin + (end - begin)/2;
        if (halfway->id == interpreterId) {
            return halfway;
        }
        if (halfway->id < interpreterId) {
            begin = halfway;
        } else {
            end = halfway;
        }
    }
    for (; begin < end; ++begin) {
        if (begin->id >= interpreterId) return begin;
    }
    return begin;
}
static PyObject *__Pyx_State_FindModule(CYTHON_UNUSED void* dummy) {
    int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
    if (interpreter_id == -1) return NULL;
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __Pyx_ModuleStateLookupData* data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data);
    {
        __pyx_atomic_incr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
        if (likely(data)) {
            __Pyx_ModuleStateLookupData* new_data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_acquire(&__Pyx_ModuleStateLookup_data);
            if (likely(data == new_data)) {
                goto read_finished;
            }
        }
        __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
        __Pyx_ModuleStateLookup_Lock();
        __pyx_atomic_incr_relaxed(&__Pyx_ModuleStateLookup_read_counter);
        data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data);
        __Pyx_ModuleStateLookup_Unlock();
    }
  read_finished:;
#else
    __Pyx_ModuleStateLookupData* data = __Pyx_ModuleStateLookup_data;
#endif
    __Pyx_InterpreterIdAndModule* found = NULL;
    if (unlikely(!data)) goto end;
    if (data->interpreter_id_as_index) {
        if (interpreter_id < data->count) {
            found = data->table+interpreter_id;
        }
    } else {
        found = __Pyx_State_FindModuleStateLookupTableLowerBound(
            data->table, data->count, interpreter_id);
    }
  end:
    {
        PyObject *result=NULL;
        if (found && found->id == interpreter_id) {
            result = found->module;
        }
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
        __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
#endif
        return result;
    }
}
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
static void __Pyx_ModuleStateLookup_wait_until_no_readers(void) {
    while (__pyx_atomic_load(&__Pyx_ModuleStateLookup_read_counter) != 0);
}
#else
#define __Pyx_ModuleStateLookup_wait_until_no_readers()
#endif
static int __Pyx_State_AddModuleInterpIdAsIndex(__Pyx_ModuleStateLookupData **old_data, PyObject* module, int64_t interpreter_id) {
    Py_ssize_t to_allocate = (*old_data)->allocated;
    while (to_allocate <= interpreter_id) {
        if (to_allocate == 0) to_allocate = 1;
        else to_allocate *= 2;
    }
    __Pyx_ModuleStateLookupData *new_data = *old_data;
    if (to_allocate != (*old_data)->allocated) {
         new_data = (__Pyx_ModuleStateLookupData *)realloc(
            *old_data,
            sizeof(__Pyx_ModuleStateLookupData)+(to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule));
        if (!new_data) {
            PyErr_NoMemory();
            return -1;
        }
        for (Py_ssize_t i = new_data->allocated; i < to_allocate; ++i) {
            new_data->table[i].id = i;
            new_data->table[i].module = NULL;
        }
        new_data->allocated = to_allocate;
    }
    new_data->table[interpreter_id].module = module;
    if (new_data->count < interpreter_id+1) {
        new_data->count = interpreter_id+1;
    }
    *old_data = new_data;
    return 0;
}
static void __Pyx_State_ConvertFromInterpIdAsIndex(__Pyx_ModuleStateLookupData *data) {
    __Pyx_InterpreterIdAndModule *read = data->table;
    __Pyx_InterpreterIdAndModule *write = data->table;
    __Pyx_InterpreterIdAndModule *end = read + data->count;
    for (; read<end; ++read) {
        if (read->module) {
            write->id = read->id;
            write->module = read->module;
            ++write;
        }
    }
    data->count = write - data->table;
    for (; write<end; ++write) {
        write->id = 0;
        write->module = NULL;
    }
    data->interpreter_id_as_index = 0;
}
static int __Pyx_State_AddModule(PyObject* module, CYTHON_UNUSED void* dummy) {
    int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
    if (interpreter_id == -1) return -1;
    int result = 0;
    __Pyx_ModuleStateLookup_Lock();
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __Pyx_ModuleStateLookupData *old_data = (__Pyx_ModuleStateLookupData *)
            __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0);
#else
    __Pyx_ModuleStateLookupData *old_data = __Pyx_ModuleStateLookup_data;
#endif
    __Pyx_ModuleStateLookupData *new_data = old_data;
    if (!new_data) {
        new_data = (__Pyx_ModuleStateLookupData *)calloc(1, sizeof(__Pyx_ModuleStateLookupData));
        if (!new_data) {
            result = -1;
            PyErr_NoMemory();
            goto end;
        }
        new_data->allocated = 1;
        new_data->interpreter_id_as_index = 1;
    }
    __Pyx_ModuleStateLookup_wait_until_no_readers();
    if (new_data->interpreter_id_as_index) {
        if (interpreter_id < __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) {
            result = __Pyx_State_AddModuleInterpIdAsIndex(&new_data, module, interpreter_id);
            goto end;
        }
        __Pyx_State_ConvertFromInterpIdAsIndex(new_data);
    }
    {
        Py_ssize_t insert_at = 0;
        {
            __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound(
                new_data->table, new_data->count, interpreter_id);
            assert(lower_bound);
            insert_at = lower_bound - new_data->table;
            if (unlikely(insert_at < new_data->count && lower_bound->id == interpreter_id)) {
                lower_bound->module = module;
                goto end;  // already in table, nothing more to do
            }
        }
        if (new_data->count+1 >= new_data->allocated) {
            Py_ssize_t to_allocate = (new_data->count+1)*2;
            new_data =
                (__Pyx_ModuleStateLookupData*)realloc(
                    new_data,
                    sizeof(__Pyx_ModuleStateLookupData) +
                    (to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule));
            if (!new_data) {
                result = -1;
                new_data = old_data;
                PyErr_NoMemory();
                goto end;
            }
            new_data->allocated = to_allocate;
        }
        ++new_data->count;
        int64_t last_id = interpreter_id;
        PyObject *last_module = module;
        for (Py_ssize_t i=insert_at; i<new_data->count; ++i) {
            int64_t current_id = new_data->table[i].id;
            new_data->table[i].id = last_id;
            last_id = current_id;
            PyObject *current_module = new_data->table[i].module;
            new_data->table[i].module = last_module;
            last_module = current_module;
        }
    }
  end:
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, new_data);
#else
    __Pyx_ModuleStateLookup_data = new_data;
#endif
    __Pyx_ModuleStateLookup_Unlock();
    return result;
}
static int __Pyx_State_RemoveModule(CYTHON_UNUSED void* dummy) {
    int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
    if (interpreter_id == -1) return -1;
    __Pyx_ModuleStateLookup_Lock();
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __Pyx_ModuleStateLookupData *data = (__Pyx_ModuleStateLookupData *)
            __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0);
#else
    __Pyx_ModuleStateLookupData *data = __Pyx_ModuleStateLookup_data;
#endif
    if (data->interpreter_id_as_index) {
        if (interpreter_id < data->count) {
            data->table[interpreter_id].module = NULL;
        }
        goto done;
    }
    {
        __Pyx_ModuleStateLookup_wait_until_no_readers();
        __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound(
            data->table, data->count, interpreter_id);
        if (!lower_bound) goto done;
        if (lower_bound->id != interpreter_id) goto done;
        __Pyx_InterpreterIdAndModule *end = data->table+data->count;
        for (;lower_bound<end-1; ++lower_bound) {
            lower_bound->id = (lower_bound+1)->id;
            lower_bound->module = (lower_bound+1)->module;
        }
    }
    --data->count;
    if (data->count == 0) {
        free(data);
        data = NULL;
    }
  done:
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, data);
#else
    __Pyx_ModuleStateLookup_data = data;
#endif
    __Pyx_ModuleStateLookup_Unlock();
    return 0;
}
#endif

/* #### Code section: utility_code_pragmas_end ### */
#ifdef _MSC_VER
#pragma warning( pop )
#endif



/* #### Code section: end ### */
#endif /* Py_PYTHON_H */
