kernelSin

Compute the sine of a double-precision floating-point number on [-π/4, π/4].

Usage

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

kernelSin( x, y )

Computes the sine of a double-precision floating-point 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, 9.279e-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

• 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).

• 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 uniform = require( '@stdlib/random/array/uniform' );
var logEachMap = require( '@stdlib/console/log-each-map' );
var PI = require( '@stdlib/constants/float64/pi' );
var kernelSin = require( '@stdlib/math/base/special/kernel-sin' );

var opts = {
    'dtype': 'float64'
};
var x = uniform( 100, -PI/4.0, PI/4.0, opts );

logEachMap( 'sine(%0.4f, %0.4f) = %0.4f', x, 0.0, kernelSin );

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C APIs

Usage

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

stdlib_base_kernel_sin( x, y )

Computes the sine of a double-precision floating-point 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, 9.279e-18 );
// 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 of x.

double stdlib_base_kernel_sin( const double x, const double y );

Notes

• 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).

Examples

#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 );
    }
}

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See Also

• @stdlib/math/base/special/kernel-cos: compute the cosine of a double-precision floating-point number on [-π/4, π/4].
• @stdlib/math/base/special/kernel-tan: compute the tangent of a double-precision floating-point number on [-π/4, π/4].
• @stdlib/math/base/special/sin: compute the sine of a number.