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Compute the sine of a doubleprecision floatingpoint number on
[π/4, π/4]
.
npm install @stdlib/mathbasespecialkernelsin
var kernelSin = require( '@stdlib/mathbasespecialkernelsin' );
Computes the sine of a doubleprecision floatingpoint number on [π/4, π/4]
.
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, 9.279e18 );
// returns ~0.58
v = kernelSin( NaN, 0.0 );
// returns NaN
v = kernelSin( 3.0, NaN );
// returns NaN
v = kernelSin( NaN, NaN );
// returns NaN

For increased accuracy, the number for which the sine should be evaluated can be supplied as a doubledouble number (i.e., a nonevaluated sum of two doubleprecision floatingpoint numbers
x
andy
). 
As components of a doubledouble number, the two doubleprecision floatingpoint numbers
x
andy
must satisfywhere
ulp
stands for units in the last place.
var linspace = require( '@stdlib/arraybaselinspace' );
var PI = require( '@stdlib/constantsfloat64pi' );
var kernelSin = require( '@stdlib/mathbasespecialkernelsin' );
var x = linspace( PI/4.0, PI/4.0, 100 );
var i;
for ( i = 0; i < x.length; i++ ) {
console.log( 'sine(%d) = %d', x[ i ], kernelSin( x[ i ], 0.0 ) );
}
#include "stdlib/math/base/special/kernel_sin.h"
Computes the sine of a doubleprecision floatingpoint number on [π/4, π/4]
.
double out = stdlib_base_kernel_sin( 0.0, 0.0 );
// returns ~0.0
out = stdlib_base_kernel_sin( 0.619, 9.279e18 );
// returns ~0.58
The function accepts the following arguments:

x:
[in] double
input value (in radians, assumed to be bounded by~pi/4
in magnitude). 
y:
[in] double
tail ofx
.
double stdlib_base_kernel_sin( const double x, const double y );
 For increased accuracy, the number for which the sine should be evaluated can be supplied as a doubledouble number (i.e., a nonevaluated sum of two doubleprecision floatingpoint numbers
x
andy
).
#include "stdlib/math/base/special/kernel_sin.h"
#include <stdio.h>
int main( void ) {
const double x[] = { 0.7853981633974483, 0.6108652381980153, 0.4363323129985824, 0.26179938779914946, 0.08726646259971649, 0.08726646259971649, 0.26179938779914935, 0.43633231299858233, 0.6108652381980153, 0.7853981633974483 };
double out;
int i;
for ( i = 0; i < 10; i++ ) {
out = stdlib_base_kernel_sin( x[ i ], 0.0 );
printf ( "x: %lf, y: %lf, out: %lf\n", x[ i ], 0.0, out );
}
}

@stdlib/mathbase/special/kernelcos
: compute the cosine of a doubleprecision floatingpoint number on [π/4, π/4]. 
@stdlib/mathbase/special/kerneltan
: compute the tangent of a doubleprecision floatingpoint number on [π/4, π/4]. 
@stdlib/mathbase/special/sin
: compute the sine of a 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.
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