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Compute the hyperbolic arctangent of a number.
npm install @stdlib/math-base-special-fast-atanhAlternatively,
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scripttag without installation and bundlers, use the ES Module available on theesmbranch (see README). - If you are using Deno, visit the
denobranch (see README for usage intructions). - For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the
umdbranch (see README).
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To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.
var atanh = require( '@stdlib/math-base-special-fast-atanh' );Computes the hyperbolic arctangent of a number (in radians).
var v = atanh( 0.0 );
// returns 0.0
v = atanh( -0.0 );
// returns -0.0
v = atanh( 0.5 );
// returns ~0.549
v = atanh( 0.9 );
// returns ~1.472
v = atanh( 1.0 );
// returns Infinity
v = atanh( -1.0 );
// returns -InfinityThe domain of x is restricted to [-1,1]. If |x| > 1, the function returns NaN.
var v = atanh( -3.14 );
// returns NaN-
For small
x, the function will underflow.var v = atanh( 1.0e-17 ); // returns 0.0 // (expected 1.0e-17)
var linspace = require( '@stdlib/array-base-linspace' );
var atanh = require( '@stdlib/math-base-special-fast-atanh' );
var x = linspace( -1.0, 1.0, 103 );
var i;
for ( i = 0; i < x.length; i ) {
console.log( atanh( x[ i ] ) );
}#include "stdlib/math/base/special/fast/atanh.h"Computes the hyperbolic arctangent of a double-precision floating-point number (in radians).
double out = stdlib_base_fast_atanh( 0.0 );
// returns 0.0
out = stdlib_base_fast_atanh( -0.0 );
// returns -0.0The function accepts the following arguments:
- x:
[in] doubleinput value.
double stdlib_base_fast_atanh( const double x );#include "stdlib/math/base/special/fast/atanh.h"
#include <stdio.h>
int main( void ) {
const double x[] = { -1.0, -0.78, -0.56, -0.33, -0.11, 0.11, 0.33, 0.56, 0.78, 1.0 };
double v;
int i;
for ( i = 0; i < 10; i ) {
v = stdlib_base_fast_atanh( x[ i ] );
printf( "atanh(%lf) = %lf\n", x[ i ], v );
}
}@stdlib/math-base/special/atanh: compute the hyperbolic arctangent of a double-precision floating-point number.
This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.
See LICENSE.
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