/math-base-special-versin

Compute the versed sine.

Primary LanguagePythonApache License 2.0Apache-2.0

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Versine

NPM version Build Status Coverage Status

Compute the versed sine.

The versed sine is defined as

$$\mathop{\mathrm{versin}}(\theta) = 1 - \cos \theta$$

Installation

npm install @stdlib/math-base-special-versin

Alternatively,

  • To load the package in a website via a script tag without installation and bundlers, use the ES Module available on the esm branch (see README).
  • If you are using Deno, visit the deno branch (see README for usage intructions).
  • For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the umd branch (see README).

The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.

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.

Usage

var versin = require( '@stdlib/math-base-special-versin' );

versin( x )

Computes the versed sine of a number (in radians).

var v = versin( 0.0 );
// returns 0.0

v = versin( 3.141592653589793/2.0 );
// returns ~1.0

v = versin( -3.141592653589793/6.0 );
// returns ~0.13397

Examples

var linspace = require( '@stdlib/array-base-linspace' );
var TWO_PI = require( '@stdlib/constants-float64-two-pi' );
var versin = require( '@stdlib/math-base-special-versin' );

var x = linspace( 0.0, TWO_PI, 100 );

var i;
for ( i = 0; i < x.length; i++ ) {
    console.log( versin( x[ i ] ) );
}

C APIs

Usage

#include "stdlib/math/base/special/versin.h"

stdlib_base_versin( x )

Computes the versed sine of a number (in radians).

double out = stdlib_base_versin( 0.0 );
// returns 0.0

out = stdlib_base_versin( 3.141592653589793 / 2.0 );
// returns ~1.0

The function accepts the following arguments:

  • x: [in] double input value.
double stdlib_base_versin( const double x );

Examples

#include "stdlib/math/base/special/versin.h"
#include <stdio.h>

int main( void ) {
    const double x[] = { 0.0, 0.523, 0.785, 1.047, 3.14 };

    double y;
    int i;
    for ( i = 0; i < 5; i++ ) {
        y = stdlib_base_versin( x[ i ] );
        printf( "versin(%lf) = %lf\n", x[ i ], y );
    }
}

See Also

Notice

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.

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License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.