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lib/node_modules/@stdlib/math/base/special/betainc/README.md

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<!-- /.examples -->
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<!-- C interface documentation. -->
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* * *
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<section class="c">
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## C APIs
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<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
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<section class="intro">
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</section>
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<!-- /.intro -->
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<!-- C usage documentation. -->
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<section class="usage">
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### Usage
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```c
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#include "stdlib/stats/base/dists/bernoulli/cdf.h"
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```
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#### stdlib_base_betainc( x, a, b\[, regularized\[, upper]] )
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Evaluates the incomplete beta function.
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```c
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double y = stdlib_base_betainc( 0.5, 2.0, 2.0 );
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// returns ~0.5
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y = stdlib_base_betainc( 0.5, 2.0, 2.0, false );
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// returns ~0.083
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y = stdlib_base_betainc( 0.2, 1.0, 2.0 );
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// returns ~0.36
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```
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The function accepts the following arguments:
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- **x**: `[in] double` input value.
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- **a**: `[in] double`
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```c
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double stdlib_base_betainc( const double x, const double alpha, const double beta );
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```
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</section>
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<!-- /.usage -->
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<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="notes">
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</section>
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<!-- /.notes -->
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<!-- C API usage examples. -->
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<section class="examples">
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### Examples
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```c
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#include "stdlib/math/base/special/betainc.h"
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#include <stdlib.h>
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#include <stdio.h>
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int main( void ) {
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double x;
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double a;
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double b;
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int i;
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for ( i = 0; i < 100; i++ ) {
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x = ( (double)rand() / (double)RAND_MAX );
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a = ( (double)rand() / (double)RAND_MAX ) * 10.0;
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b = ( (double)rand() / (double)RAND_MAX ) * 10.0;
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printf( "x: %1f, \t a: %1f, \t b: %1f, \t f(x,a,b): %1f\n", x, a , b );
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}
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}
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```
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</section>
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<!-- /.examples -->
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</section>
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<!-- /.c -->
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<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
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<section class="related">
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/**
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* @license Apache-2.0
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*
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* Copyright (c) 2024 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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'use strict';
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// MODULES //
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var resolve = require( 'path' ).resolve;
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var bench = require( '@stdlib/bench' );
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var randu = require( '@stdlib/random/base/randu' );
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var isnan = require( '@stdlib/math/base/assert/is-nan' );
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var tryRequire = require( '@stdlib/utils/try-require' );
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var EPS = require( '@stdlib/constants/float64/eps' );
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var pkg = require( './../package.json' ).name;
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// VARIABLES //
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var betainc = tryRequire( resolve( __dirname, './../lib/native.js' ) );
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var opts = {
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'skip': ( betainc instanceof Error )
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};
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// MAIN //
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bench( pkg+'::native', opts, function benchmark( assert ) {
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var x;
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var y;
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var a;
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var b;
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var i;
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assert.tic();
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for ( i = 0; i < assert.iterations; i++ ) {
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x = randu();
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a = ( randu()*1000.0 ) + EPS;
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b = ( randu()*1000.0 ) + EPS;
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y = betainc( x, a, b );
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if ( isnan( y ) ) {
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assert.fail( 'should not return NaN' );
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}
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}
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assert.toc();
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if ( isnan( y ) ) {
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assert.fail( 'should not return NaN' );
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}
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assert.pass( 'benchmark finished' );
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assert.end();
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});

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