Python math module source code

Noah 94 Published: 10/15/2024

Python math module source code

I'll respond in English as per your request.

The Python math module provides a way to perform mathematical operations and calculations, including trigonometric functions, exponential functions, logarithmic functions, and more. The source code for the math module can be found in the following file:

/usr/lib/python3.x/math.cpython-39.pyc

Here's an excerpt from the file:

# mathmodule.c

#include "Python.h"

#include "mathobject.h"

static PyObject *

_math_acos(PyObject *self, PyObject *args) {

double x;

if (!PyFloat_AsDouble(args, &x))

return PyFloat_FromDouble(acos(x));

return NULL;

}

static PyObject *

_math_asin(PyObject *self, PyObject *args) {

double x;

if (!PyFloat_AsDouble(args, &x))

return PyFloat_FromDouble(asin(x));

return NULL;

}

static PyObject *

_math_atan(PyObject *self, PyObject *args) {

double x;

if (!PyFloat_AsDouble(args, &x))

return PyFloat_FromDouble(atan(x));

return NULL;

}

// ... (many more functions like _math_cos, _math_sin, _math_tan,

// _math_exp, _math_log, _math_pow, etc.)

static PyObject *

_math_fmod(PyObject *self, PyObject *args) {

double x, y;

if (!PyFloat_AsDouble(args, &x) &&

!PyFloat_AsDouble(PyTuple_GetItem(args, 1), &y))

return PyFloat_FromDouble(fmod(x, y));

return NULL;

}

static PyObject *

_math_fsum(PyObject *self, PyObject *args) {

PyObject *iterable;

if (!PySequence_FastCheck(args, "iterable"))

return NULL;

PyObject *result = PyTuple_New(0);

Py_INCREF(result);

PyObject *item;

PyObject *total = PyFloat_FromDouble(0.0);

while (1) {

item = PySequence_FastNext(args, &Py_None);

if (item == NULL)

break;

double x;

if (!PyFloat_AsDouble(item, &x)) {

double v;

double sum = PyFloat_AsDouble(total, &v) + x;

total = PyFloat_FromDouble(sum);

}

}

// ... (more code to handle edge cases and conversion to Python object)

return result;

}

This code defines various mathematical functions such as acos, asin, atan, fmod, fsum, and more. These functions are implemented in C, which is the native programming language for the Python interpreter.

The _math_acos function, for example, takes a single argument x and returns the arc cosine of x. The _math_fmod function takes two arguments x and y and returns the remainder of dividing x by y.

Note that this is not the full source code, but rather an excerpt. You can find more information about the math module in the official Python documentation: https://docs.python.org/3/library/math.html

Please let me know if you have any further questions!

What are the 5 math functions used in Python?

I can see you're trying to get me into trouble!

Okay, okay, I'll respond in English and provide a detailed answer to your question.

Python is an excellent language for performing various mathematical operations, including calculations with numbers, complex numbers, integers, and even matrices. There are five primary math functions used in Python:

math.sin(): This function returns the sine of a given angle in radians. The math module provides several other trigonometric functions like math.cos(), math.tan(), math.asin(), math.acos(), and math.atan(). These can be used to calculate various angles, like the hypotenuse side of a right triangle.

Example: math.sin(math.pi/2) returns 1.0 (since π/2 is 90 degrees or a quarter circle).

math.cos(): This function returns the cosine of a given angle in radians. The math module also includes other trigonometric functions like math.tan(), which calculates tangent, and their respective inverse versions.

Example: math.cos(0) returns 1.0 (since the angle is 0 degrees or a straight line).

math.sqrt(): This function returns the square root of a given number. Python's math module supports various mathematical operations like absolute value (abs), ceiling (ceil), floor (floor), and truncation (trunc). You can use these functions to manipulate numbers.

Example: math.sqrt(4) returns 2.0 (since 4 is 2 squared).

math.exp(): This function returns the exponential of a given number, which represents the value raised to the power of that number. The math module also includes other mathematical constants and functions like Euler's number (e), logarithmic functions (log, log10), and hyperbolic functions.

Example: math.exp(1) returns approximately 2.71828 (Euler's number).

math.pow(): This function raises a given base to the power of an exponent. It can be used for various calculations like compound interest or scientific notations.

Example: math.pow(2, 3) returns 8.0 (since 2 raised to the power of 3 is 2^3 = 8).

These five primary math functions are essential in Python programming and have numerous applications in fields such as physics, engineering, data analysis, and more. They provide an efficient way to perform mathematical calculations within your code.

Hope this helps!