@stdlib/math-base-special-kernel-betainc
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Incomplete beta function and its first derivative.
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Incomplete beta function and its first derivative.
npm install @stdlib/math-base-special-kernel-betainc
var kernelBetainc = require( '@stdlib/math-base-special-kernel-betainc' );
Evaluates the incomplete beta function and its first derivative for parameters x, a > 0 and b > 0. The regularized and upper boolean parameters are used to specify whether to evaluate the regularized or non-regularized and the upper or lower incomplete beta functions, respectively.
var out = kernelBetainc( 0.8, 1.0, 0.3, false, false );
// returns [ ~1.277, ~0.926 ]
out = kernelBetainc( 0.2, 1.0, 2.0, true, false );
// returns [ 0.36, 1.6 ]
out = kernelBetainc( 0.2, 1.0, 2.0, true, true );
// returns [ 0.64, 1.6 ]
If provided NaN for x, a, or b, the function returns [ NaN, NaN ].
var out = kernelBetainc( NaN, 1.0, 1.0, true, true );
// returns [ NaN, NaN ]
out = kernelBetainc( 0.8, NaN, 1.0, true, true );
// returns [ NaN, NaN ]
out = kernelBetainc( 0.8, 1.0, NaN, true, true );
// returns [ NaN, NaN ]
If x is outside the interval [0,1], the function returns [ NaN, NaN ].
var out = kernelBetainc( 1.5, 1.0, 1.0, true, true );
// returns [ NaN, NaN ]
out = kernelBetainc( -0.5, 1.0, 1.0, true, true );
// returns [ NaN, NaN ]
If a or b is negative, the function returns [ NaN, NaN ].
var out = kernelBetainc( 0.5, -2.0, 2.0, true, true );
// returns [ NaN, NaN ]
out = kernelBetainc( 0.5, 2.0, -2.0, true, true );
// returns [ NaN, NaN ]
Evaluates the incomplete beta function and its first derivative for parameters x, a > 0 and b > 0 and assigns results to a provided output array.
var Float64Array = require( '@stdlib/array-float64' );
var out = new Float64Array( 2 );
var v = kernelBetainc.assign( 0.2, 1.0, 2.0, true, true, out, 1, 0 );
// returns <Float64Array>[ 0.64, 1.6 ]
var bool = ( v === out );
// returns true
The offset parameter specifies the index of the first output array element, and the stride parameter specifies the stride length between consecutive output array elements.
var randu = require( '@stdlib/random-base-randu' );
var kernelBetainc = require( '@stdlib/math-base-special-kernel-betainc' );
var out;
var i;
var x;
var a;
var b;
out = [ 0.0, 0.0 ];
for ( i = 0; i < 100; i++ ) {
x = randu();
a = randu() * 10.0;
b = randu() * 10.0;
kernelBetainc( x, a, b, true, false, out, 1, 0 );
console.log( 'x: %d, \t a: %d, \t b: %d, \t f(x,a,b): %d, \t f^1(x,a,b): %d', x.toFixed( 4 ), a.toFixed( 4 ), b.toFixed( 4 ), out[ 0 ].toFixed( 4 ), out[ 1 ].toFixed( 4 ) );
}
@stdlib/math-base/special/betainc: incomplete beta function.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.
Copyright © 2016-2023. The Stdlib Authors.
0.1.0 (2023-09-24)
<section class="features">58832ee - update minimum TypeScript version349fd18 - update import path for Collection type definition58832ee: update minimum TypeScript version to 4.1
58832ee - feat: update minimum TypeScript version (by Philipp Burckhardt)349fd18 - fix: update import path for Collection type definition (by Athan Reines)b734544 - refactor: use strictEqual checks (by Philipp Burckhardt)A total of 2 people contributed to this release. Thank you to the following contributors:
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Incomplete beta function and its first derivative.
The npm package @stdlib/math-base-special-kernel-betainc receives a total of 29,162 weekly downloads. As such, @stdlib/math-base-special-kernel-betainc popularity was classified as popular.
We found that @stdlib/math-base-special-kernel-betainc demonstrated a healthy version release cadence and project activity because the last version was released less than a year ago. It has 0 open source maintainers collaborating on the project.
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