# rempio2 > Compute `x - nπ/2 = r`.
## Usage ```javascript 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`. ```javascript 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`. ```javascript 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 ```javascript 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 ] ); } ```