README
rempio2
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 ofn
and not the full result.
Examples
var linspace = require( '@stdlib/array-base-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.
Community
License
See LICENSE.
Copyright
Copyright © 2016-2022. The Stdlib Authors.