6.2 Number Protocol

int PyNumber_Check( PyObject *o): Returns 1 if the object o provides numeric protocols, and false otherwise. This function always succeeds.

PyObject* PyNumber_Add( PyObject *o1, PyObject *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".

PyObject* PyNumber_Subtract( PyObject *o1, PyObject *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".

PyObject* PyNumber_Multiply( PyObject *o1, PyObject *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".

PyObject* PyNumber_Divide( PyObject *o1, PyObject *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".

PyObject* PyNumber_FloorDivide( PyObject *o1, PyObject *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. New in version 2.2.

PyObject* PyNumber_TrueDivide( PyObject *o1, PyObject *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. New in version 2.2.

PyObject* PyNumber_Remainder( PyObject *o1, PyObject *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".

PyObject* PyNumber_Divmod( PyObject *o1, PyObject *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)".

PyObject* PyNumber_Power( PyObject *o1, PyObject *o2, PyObject *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).

PyObject* PyNumber_Negative( PyObject *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".

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

PyObject* PyNumber_Absolute( PyObject *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)".

PyObject* PyNumber_Invert( PyObject *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".

PyObject* PyNumber_Lshift( PyObject *o1, PyObject *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".

PyObject* PyNumber_Rshift( PyObject *o1, PyObject *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".

PyObject* PyNumber_And( PyObject *o1, PyObject *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".

PyObject* PyNumber_Xor( PyObject *o1, PyObject *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".

PyObject* PyNumber_Or( PyObject *o1, PyObject *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".

PyObject* PyNumber_InPlaceAdd( PyObject *o1, PyObject *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".

PyObject* PyNumber_InPlaceSubtract( PyObject *o1, PyObject *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".

PyObject* PyNumber_InPlaceMultiply( PyObject *o1, PyObject *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".

PyObject* PyNumber_InPlaceDivide( PyObject *o1, PyObject *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".

PyObject* PyNumber_InPlaceFloorDivide( PyObject *o1, PyObject *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". New in version 2.2.

PyObject* PyNumber_InPlaceTrueDivide( PyObject *o1, PyObject *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. New in version 2.2.

PyObject* PyNumber_InPlaceRemainder( PyObject *o1, PyObject *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".

PyObject* PyNumber_InPlacePower( PyObject *o1, PyObject *o2, PyObject *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).

PyObject* PyNumber_InPlaceLshift( PyObject *o1, PyObject *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".

PyObject* PyNumber_InPlaceRshift( PyObject *o1, PyObject *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".

PyObject* PyNumber_InPlaceAnd( PyObject *o1, PyObject *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".

PyObject* PyNumber_InPlaceXor( PyObject *o1, PyObject *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".

PyObject* PyNumber_InPlaceOr( PyObject *o1, PyObject *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): 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)".

PyObject* PyNumber_Int( PyObject *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)".

PyObject* PyNumber_Long( PyObject *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)".

PyObject* PyNumber_Float( PyObject *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)".

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