@stdlib/math-base-special-rempio2
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    0.0.5 • Public • Published

    rempio2

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    Compute x - nπ/2 = r.

    Installation

    npm install @stdlib/math-base-special-rempio2

    Usage

    var rempio2 = require( '@stdlib/math-base-special-rempio2' );

    rempio2( x, y )

    Computes x - nπ/2 = r. The function returns n and stores the remainder r as two numbers in y, such that y[0]+y[1] = 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 zero 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

    • 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

    var linspace = require( '@stdlib/array-linspace' );
    var rempio2 = require( '@stdlib/math-base-special-rempio2' );
    
    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 ] );
    }

    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.

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    License

    See LICENSE.

    Copyright

    Copyright © 2016-2021. The Stdlib Authors.

    Install

    npm i @stdlib/math-base-special-rempio2

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