# sici > Compute the sine and cosine integrals.
The sine integral is defined as
Sine integral.
and the cosine integral is defined as
Cosine integral.
where `γ` is the [Euler-Mascheroni][eulergamma] constant.
## Usage ```javascript var sici = require( '@stdlib/math/base/special/sici' ); ``` #### sici( \[out,] x ) Computes the sine and cosine integrals. ```javascript var v = sici( 3.0 ); // returns [ ~1.849, ~0.12 ] v = sici( 0.0 ); // returns [ 0.0, -Infinity ] v = sici( -9.0 ); // returns [ ~-1.665, ~0.055 ] v = sici( NaN ); // returns [ NaN, NaN ] ``` By default, the function returns the sine and cosine integrals as a two-element `array`. To avoid unnecessary memory allocation, the function supports providing an output (destination) object. ```javascript var Float64Array = require( '@stdlib/array/float64' ); var out = new Float64Array( 2 ); var v = sici( out, 3.0 ); // returns [ ~1.849, ~0.12 ] var bool = ( v === out ); // returns true ```
## Examples ```javascript var randu = require( '@stdlib/random/base/randu' ); var sici = require( '@stdlib/math/base/special/sici' ); var x; var y; var i; for ( i = 0; i < 100; i++ ) { x = randu() * 100.0; y = sici( x ); console.log( 'si(%d) = %d, ci(%d) = %d', x, y[ 0 ], x, y[ 1 ] ); } ```