README.md

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rempio2

Compute x - nπ/2 = r.

Usage

import rempio2 from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-rempio2@deno/mod.js';

rempio2( x, y )

Computes x - nπ/2 = r.

var y = [ 0.0, 0.0 ];
var n = rempio2( 128.0, y );
// returns 81

var y1 = y[ 0 ];
// returns ~0.765

var y2 = y[ 1 ];
// returns ~3.618e-17

When x is NaN or infinite, the function returns 0 and sets the elements of y to NaN.

var y = [ 0.0, 0.0 ];
var n = rempio2( NaN, y );
// returns 0

var y1 = y[ 0 ];
// returns NaN

var y2 = y[ 1 ];
// returns NaN

y = [ 0.0, 0.0 ];
n = rempio2( Infinity, y );
// returns 0

y1 = y[ 0 ];
// returns NaN

y2 = y[ 1 ];
// returns NaN

Notes

• The function returns n and stores the remainder r as two numbers in y, such that y[0]+y[1] = r.
• For input values larger than 2^20*π/2 in magnitude, the function only returns the last three binary digits of n and not the full result.

Examples

import linspace from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-base-linspace@deno/mod.js';
import rempio2 from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-rempio2@deno/mod.js';

var x = linspace( 0.0, 100.0, 100 );
var y = [ 0.0, 0.0 ];
var n;
var i;

for ( i = 0; i < x.length; i++ ) {
    n = rempio2( x[ i ], y );
    console.log( '%d - %dπ/2 = %d + %d', x[ i ], n, y[ 0 ], y[ 1 ] );
}

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Notice

This package is part of stdlib, a standard library 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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Copyright

Copyright © 2016-2024. The Stdlib Authors.