Incomplete beta function.
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[Incomplete beta function][incomplete-beta-function].
bash
npm install @stdlib/math-base-special-betaincscript tag without installation and bundlers, use the [ES Module][es-module] available on the [esm][esm-url] branch (see [README][esm-readme]).deno][deno-url] branch (see [README][deno-readme] for usage intructions).umd][umd-url] branch (see [README][umd-readme]).javascript
var betainc = require( '@stdlib/math-base-special-betainc' );x, a > 0 and b > 0. The fourth and fifth parameters of the function can be used to specify whether instead to evaluate the non-regularized and/or upper incomplete beta functions, respectively.javascript
var y = betainc( 0.5, 2.0, 2.0 );
// returns 0.5
y = betainc( 0.5, 2.0, 2.0, false );
// returns ~0.083
y = betainc( 0.2, 1.0, 2.0 );
// returns 0.36
y = betainc( 0.2, 1.0, 2.0, true, true );
// returns 0.64NaN as any argument, the function returns NaN.javascript
var y = betainc( NaN, 1.0, 1.0 );
// returns NaN
y = betainc( 0.8, NaN, 1.0 );
// returns NaN
y = betainc( 0.8, 1.0, NaN );
// returns NaNx outside the interval [0,1], the function returns NaN.javascript
var y = betainc( 1.5, 1.0, 1.0 );
// returns NaN
y = betainc( -0.5, 1.0, 1.0 );
// returns NaNa, the function returns NaN.javascript
var y = betainc( 0.5, -2.0, 2.0 );
// returns NaNb, the function returns NaN.javascript
var y = betainc( 0.5, 2.0, -2.0 );
// returns NaNjavascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var betainc = require( '@stdlib/math-base-special-betainc' );
var opts = {
'dtype': 'float64'
};
var x = uniform( 100, 0.0, 1.0, opts );
var a = uniform( 100, 0.0, 10.0, opts );
var b = uniform( 100, 0.0, 10.0, opts );
logEachMap( 'x: %0.4f, \t a: %0.4f, \t b: %0.4f, \t f(x,a,b): %0.4f', x, a, b, betainc );
