@stdlib/math-base-special-kernel-sin

Kernel Sine

Compute the sine of a number on [-π/4, π/4].

Installation

npm install @stdlib/math-base-special-kernel-sin

Usage

var kernelSin = require( '@stdlib/math-base-special-kernel-sin' );

kernelSin( x, y )

Computes the sine of a number on [-π/4, π/4]. For increased accuracy, the number for which the sine should be evaluated can be supplied as a double-double number (i.e., a non-evaluated sum of two double-precision floating-point numbers x and y).

var v = kernelSin( 0.0, 0.0 );
// returns ~0.0

v = kernelSin( 3.141592653589793/6.0, 0.0 );
// returns ~0.5

v = kernelSin( 0.619, 9.279e-18 );
// returns ~0.58

v = kernelSin( NaN, 0.0 );
// returns NaN

v = kernelSin( 3.0, NaN );
// returns NaN

v = kernelSin( NaN, NaN );
// returns NaN

Notes

• As components of a double-double number, the two double-precision floating-point numbers x and y must satisfy

  
  

  where ulp stands for units in the last place.

Examples

var linspace = require( '@stdlib/array-linspace' );
var PI = require( '@stdlib/constants-float64-pi' );
var kernelSin = require( '@stdlib/math-base-special-kernel-sin' );

var x = linspace( -PI/4.0, PI/4.0, 100 );
var i;

for ( i = 0; i < x.length; i++ ) {
    console.log( 'kernelSin(%d) = %d', x[ i ], kernelSin( x[ i ], 0.0 ) );
}

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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.

Community

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License

See LICENSE.

Copyright

Copyright © 2016-2021. The Stdlib Authors.