Kernel Sine

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

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/base/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 ) );
}