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Standard Mathematical Functions

These mathematical functions allow integers as well as floating-point numbers as arguments.

Function: sin arg -
Function: cos arg -
Function: tan arg -

These are the basic trigonometric functions, with argument arg measured in radians.

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Function: asin arg -

The value of (asin arg) is a number between -pi/2 and pi/2 (inclusive) whose sine is arg. If arg is out of range (outside [-1, 1]), asin returns a NaN.

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Function: acos arg -

The value of (acos arg) is a number between 0 and pi (inclusive) whose cosine is arg. If arg is out of range (outside [-1, 1]), acos returns a NaN.

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Function: atan y &optional x -

The value of (atan y) is a number between -pi/2 and pi/2 (exclusive) whose tangent is y. If the optional second argument x is given, the value of (atan y x) is the angle in radians between the vector [x, y] and the X axis.

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Function: exp arg -

This is the exponential function; it returns e to the power arg.

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Function: log arg &optional base -

This function returns the logarithm of arg, with base base. If you don’t specify base, the natural base e is used. If arg or base is negative, log returns a NaN.

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Function: expt x y -

This function returns x raised to power y. If both arguments are integers and y is nonnegative, the result is an integer; in this case, overflow signals an error, so watch out. If x is a finite negative number and y is a finite non-integer, expt returns a NaN.

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Function: sqrt arg -

This returns the square root of arg. If arg is finite and less than zero, sqrt returns a NaN.

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In addition, Emacs defines the following common mathematical constants:

Variable: float-e -

The mathematical constant e (2.71828…).

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Variable: float-pi -

The mathematical constant pi (3.14159…).

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- Copyright © 1990-1996, 1998-2022 Free Software Foundation, Inc.
Licensed under the GNU GPL license.
- https://www.gnu.org/software/emacs/manual/html_node/elisp/Math-Functions.html -

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