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beta
[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]
[Beta function][beta-function].
bash
npm install @stdlib/math-base-special-beta
javascript
var beta = require( '@stdlib/math-base-special-beta' );
#### beta( x, y )
Evaluates the [beta function][beta-function].
javascript
var val = beta( 0.0, 0.5 );
// returns Infinity
val = beta( 1.0, 1.0 );
// returns 1.0
val = beta( -1.0, 2.0 );
// returns NaN
val = beta( 5.0, 0.2 );
// returns ~3.382
val = beta( 4.0, 1.0 );
// returns 0.25
javascript
var beta = require( '@stdlib/math-base-special-beta' );
var x;
var y;
for ( x = 0; x < 10; x++ ) {
for ( y = 10; y > 0; y-- ) {
console.log( 'x: %d, \t y: %d, \t f(x,y): %d', x, y, beta( x, y ) );
}
}
c
#include "stdlib/math/base/special/beta.h"
#### stdlib_base_beta( a, b )
Evaluates the [beta function][beta-function].
c
double out = stdlib_base_beta( 1.0, 1,0 );
// returns 1.0
out = stdlib_base_beta( 5.0, 0.2);
// returns ~3.382
The function accepts the following arguments:
- a: [in] double
input value.
- b: [in] double
input value.
c
double stdlib_base_beta ( const double a, const double b );
c
#include "stdlib/math/base/special/beta.h"
#include <stdio.h>
int main( void ) {
const double x[] = { 1.0, 3.0, 5.0, 8.0, 10.0 };
const double y[] = { 2.0, 4.0, 7.0, 9.0, 10.0 };
double out;
int i;
int j;
for ( i = 0; i < 5; i++ ) {
for ( j = 0; j < 5; j++ ){
out = stdlib_base_beta( x[ i ], y[ j ] );
printf ( "x: %lf, y: %lf, out: %lf\n", x[ i ], y[ j ], out );
}
}
}
@stdlib/math-base/special/betainc
][@stdlib/math/base/special/betainc]: incomplete beta function.
- [@stdlib/math-base/special/betaincinv
][@stdlib/math/base/special/betaincinv]: inverse incomplete beta function.
- [@stdlib/math-base/special/betaln
][@stdlib/math/base/special/betaln]: natural logarithm of the beta function.