from cpython.ref cimport PyObject

cdef extern from "Python.h":

    #####################################################################
    # 6.2 Number Protocol
    #####################################################################

    bint PyNumber_Check(object o)
    # Returns 1 if the object o provides numeric protocols, and false
    # otherwise. This function always succeeds.

    object PyNumber_Add(object o1, object o2)
    # Return value: New reference.
    # Returns the result of adding o1 and o2, or NULL on failure. This
    # is the equivalent of the Python expression "o1 + o2".

    object PyNumber_Subtract(object o1, object o2)
    # Return value: New reference.
    # Returns the result of subtracting o2 from o1, or NULL on
    # failure. This is the equivalent of the Python expression "o1 -
    # o2".

    object PyNumber_Multiply(object o1, object o2)
    # Return value: New reference.
    # Returns the result of multiplying o1 and o2, or NULL on
    # failure. This is the equivalent of the Python expression "o1 *
    # o2".

    object PyNumber_Divide(object o1, object o2)
    # Return value: New reference.
    # Returns the result of dividing o1 by o2, or NULL on
    # failure. This is the equivalent of the Python expression "o1 /
    # o2".

    object PyNumber_FloorDivide(object o1, object o2)
    # Return value: New reference.
    # Return the floor of o1 divided by o2, or NULL on failure. This
    # is equivalent to the ``classic'' division of integers.

    object PyNumber_TrueDivide(object o1, object o2)
    # Return value: New reference.
    # Return a reasonable approximation for the mathematical value of
    # o1 divided by o2, or NULL on failure. The return value is
    # ``approximate'' because binary floating point numbers are
    # approximate; it is not possible to represent all real numbers in
    # base two. This function can return a floating point value when
    # passed two integers.

    object PyNumber_Remainder(object o1, object o2)
    # Return value: New reference.
    # Returns the remainder of dividing o1 by o2, or NULL on
    # failure. This is the equivalent of the Python expression "o1 %
    # o2".

    object PyNumber_Divmod(object o1, object o2)
    # Return value: New reference.
    # See the built-in function divmod(). Returns NULL on
    # failure. This is the equivalent of the Python expression
    # "divmod(o1, o2)".

    object PyNumber_Power(object o1, object o2, object o3)
    # Return value: New reference.
    # See the built-in function pow(). Returns NULL on failure. This
    # is the equivalent of the Python expression "pow(o1, o2, o3)",
    # where o3 is optional. If o3 is to be ignored, pass Py_None in
    # its place (passing NULL for o3 would cause an illegal memory
    # access).

    object PyNumber_Negative(object o)
    # Return value: New reference.
    # Returns the negation of o on success, or NULL on failure. This
    # is the equivalent of the Python expression "-o".

    object PyNumber_Positive(object o)
    # Return value: New reference.
    # Returns o on success, or NULL on failure. This is the equivalent
    # of the Python expression "+o".

    object PyNumber_Absolute(object o)
    # Return value: New reference.
    # Returns the absolute value of o, or NULL on failure. This is the
    # equivalent of the Python expression "abs(o)".

    object PyNumber_Invert(object o)
    # Return value: New reference.
    # Returns the bitwise negation of o on success, or NULL on
    # failure. This is the equivalent of the Python expression "~o".

    object PyNumber_Lshift(object o1, object o2)
    # Return value: New reference.
    # Returns the result of left shifting o1 by o2 on success, or NULL
    # on failure. This is the equivalent of the Python expression "o1
    # << o2".

    object PyNumber_Rshift(object o1, object o2)
    # Return value: New reference.
    # Returns the result of right shifting o1 by o2 on success, or
    # NULL on failure. This is the equivalent of the Python expression
    # "o1 >> o2".

    object PyNumber_And(object o1, object o2)
    # Return value: New reference.
    # Returns the ``bitwise and'' of o1 and o2 on success and NULL on
    # failure. This is the equivalent of the Python expression "o1 &
    # o2".

    object PyNumber_Xor(object o1, object o2)
    # Return value: New reference.
    # Returns the ``bitwise exclusive or'' of o1 by o2 on success, or
    # NULL on failure. This is the equivalent of the Python expression
    # "o1 ^ o2".

    object PyNumber_Or(object o1, object o2)
    # Return value: New reference.
    # Returns the ``bitwise or'' of o1 and o2 on success, or NULL on failure. This is the equivalent of the Python expression "o1 | o2".

    object PyNumber_InPlaceAdd(object o1, object o2)
    # Return value: New reference.
    # Returns the result of adding o1 and o2, or NULL on failure. The
    # operation is done in-place when o1 supports it. This is the
    # equivalent of the Python statement "o1 += o2".

    object PyNumber_InPlaceSubtract(object o1, object o2)
    # Return value: New reference.
    # Returns the result of subtracting o2 from o1, or NULL on
    # failure. The operation is done in-place when o1 supports
    # it. This is the equivalent of the Python statement "o1 -= o2".

    object PyNumber_InPlaceMultiply(object o1, object o2)
    # Return value: New reference.
    # Returns the result of multiplying o1 and o2, or NULL on
    # failure. The operation is done in-place when o1 supports
    # it. This is the equivalent of the Python statement "o1 *= o2".

    object PyNumber_InPlaceDivide(object o1, object o2)
    # Return value: New reference.
    # Returns the result of dividing o1 by o2, or NULL on failure. The
    # operation is done in-place when o1 supports it. This is the
    # equivalent of the Python statement "o1 /= o2".

    object PyNumber_InPlaceFloorDivide(object o1, object o2)
    # Return value: New reference.
    # Returns the mathematical floor of dividing o1 by o2, or NULL on
    # failure. The operation is done in-place when o1 supports
    # it. This is the equivalent of the Python statement "o1 //=
    # o2".

    object PyNumber_InPlaceTrueDivide(object o1, object o2)
    # Return value: New reference.
    # Return a reasonable approximation for the mathematical value of
    # o1 divided by o2, or NULL on failure. The return value is
    # ``approximate'' because binary floating point numbers are
    # approximate; it is not possible to represent all real numbers in
    # base two. This function can return a floating point value when
    # passed two integers. The operation is done in-place when o1
    # supports it.

    object PyNumber_InPlaceRemainder(object o1, object o2)
    # Return value: New reference.
    # Returns the remainder of dividing o1 by o2, or NULL on
    # failure. The operation is done in-place when o1 supports
    # it. This is the equivalent of the Python statement "o1 %= o2".

    object PyNumber_InPlacePower(object o1, object o2, object o3)
    # Return value: New reference.
    # See the built-in function pow(). Returns NULL on failure. The
    # operation is done in-place when o1 supports it. This is the
    # equivalent of the Python statement "o1 **= o2" when o3 is
    # Py_None, or an in-place variant of "pow(o1, o2, o3)"
    # otherwise. If o3 is to be ignored, pass Py_None in its place
    # (passing NULL for o3 would cause an illegal memory access).

    object PyNumber_InPlaceLshift(object o1, object o2)
    # Return value: New reference.
    # Returns the result of left shifting o1 by o2 on success, or NULL
    # on failure. The operation is done in-place when o1 supports
    # it. This is the equivalent of the Python statement "o1 <<= o2".

    object PyNumber_InPlaceRshift(object o1, object o2)
    # Return value: New reference.
    # Returns the result of right shifting o1 by o2 on success, or
    # NULL on failure. The operation is done in-place when o1 supports
    # it. This is the equivalent of the Python statement "o1 >>= o2".

    object PyNumber_InPlaceAnd(object o1, object o2)
    # Return value: New reference.
    # Returns the ``bitwise and'' of o1 and o2 on success and NULL on
    # failure. The operation is done in-place when o1 supports
    # it. This is the equivalent of the Python statement "o1 &= o2".

    object PyNumber_InPlaceXor(object o1, object o2)
    # Return value: New reference.
    # Returns the ``bitwise exclusive or'' of o1 by o2 on success, or
    # NULL on failure. The operation is done in-place when o1 supports
    # it. This is the equivalent of the Python statement "o1 ^= o2".

    object PyNumber_InPlaceOr(object o1, object o2)
    # Return value: New reference.
    # Returns the ``bitwise or'' of o1 and o2 on success, or NULL on
    # failure. The operation is done in-place when o1 supports
    # it. This is the equivalent of the Python statement "o1 |= o2".

    int PyNumber_Coerce(PyObject **p1, PyObject **p2) except -1
    # This function takes the addresses of two variables of type
    # PyObject*. If the objects pointed to by *p1 and *p2 have the
    # same type, increment their reference count and return 0
    # (success). If the objects can be converted to a common numeric
    # type, replace *p1 and *p2 by their converted value (with 'new'
    # reference counts), and return 0. If no conversion is possible,
    # or if some other error occurs, return -1 (failure) and don't
    # increment the reference counts. The call PyNumber_Coerce(&o1,
    # &o2) is equivalent to the Python statement "o1, o2 = coerce(o1,
    # o2)".

    object PyNumber_Int(object o)
    # Return value: New reference.
    # Returns the o converted to an integer object on success, or NULL
    # on failure. If the argument is outside the integer range a long
    # object will be returned instead. This is the equivalent of the
    # Python expression "int(o)".

    object PyNumber_Long(object o)
    # Return value: New reference.
    # Returns the o converted to a long integer object on success, or
    # NULL on failure. This is the equivalent of the Python expression
    # "long(o)".

    object PyNumber_Float(object o)
    # Return value: New reference.
    # Returns the o converted to a float object on success, or NULL on
    # failure. This is the equivalent of the Python expression
    # "float(o)".

    object PyNumber_Index(object o)
    # Returns the o converted to a Python int or long on success or
    # NULL with a TypeError exception raised on failure.

    Py_ssize_t PyNumber_AsSsize_t(object o, object exc) except? -1
    # Returns o converted to a Py_ssize_t value if o can be
    # interpreted as an integer. If o can be converted to a Python int
    # or long but the attempt to convert to a Py_ssize_t value would
    # raise an OverflowError, then the exc argument is the type of
    # exception that will be raised (usually IndexError or
    # OverflowError). If exc is NULL, then the exception is cleared
    # and the value is clipped to PY_SSIZE_T_MIN for a negative
    # integer or PY_SSIZE_T_MAX for a positive integer.

    bint PyIndex_Check "__Pyx_PyIndex_Check" (object)
    # Returns True if o is an index integer (has the nb_index slot of
    # the tp_as_number structure filled in).