feat: add implementation of stats/base/dists/anglit/cdf

lib/node_modules/@stdlib/stats/base/dists/anglit/cdf/README.md

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+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 The Stdlib Authors.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+   http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-->
+
+# Cumulative Distribution Function
+
+> [Anglit][anglit-distribution] distribution [cumulative distribution function][cdf].
+
+<section class="intro">
+
+The [cumulative distribution function][cdf] for an [anglit][anglit-distribution] random variable is
+
+<!-- <equation class="equation" label="eq:anglit_cdf" align="center" raw="F(x) = \sin^2\left( \frac{x-\mu}{\sigma} + \frac{\pi}{4} \right)" alt="Cumulative distribution function for an anglit distribution."> -->
+
+```math
+F(x) = \sin^2\left( \frac{x-\mu}{\sigma} + \frac{\pi}{4} \right)
+```
+
+<!-- </equation> -->
+
+where `μ` is the location parameter and `σ > 0` is the scale parameter.
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var cdf = require( '@stdlib/stats/base/dists/anglit/cdf' );
+```
+
+#### cdf( x, mu, sigma )
+
+Evaluates the [cumulative distribution function][cdf] for an [anglit][anglit-distribution] distribution with location parameter `μ` and scale parameter `σ > 0`.
+
+```javascript
+var y = cdf( 0.0, 0.0, 1.0 );
+// returns 0.5
+
+y = cdf( 0.5, 0.0, 1.0 );
+// returns ~0.921
+
+y = cdf( 2.0, 0.0, 1.0 );
+// returns 1.0
+
+y = cdf( -2.0, 0.0, 1.0 );
+// returns 0.0
+```
+
+If provided `NaN` as any argument, the function returns `NaN`.
+
+```javascript
+var y = cdf( NaN, 0.0, 1.0 );
+// returns NaN
+
+y = cdf( 0.0, NaN, 1.0 );
+// returns NaN
+
+y = cdf( 0.0, 0.0, NaN );
+// returns NaN
+```
+
+If provided `σ <= 0`, the function returns `NaN`.
+
+```javascript
+var y = cdf( 0.0, 0.0, -1.0 );
+// returns NaN
+
+y = cdf( 0.0, 0.0, 0.0 );
+// returns NaN
+```
+
+#### cdf.factory( mu, sigma )
+
+Returns a `function` for evaluating the [CDF][cdf] of an [anglit][anglit-distribution] distribution with location parameter `μ` and scale parameter `σ`.
+
+```javascript
+var myCDF = cdf.factory( 0.0, 1.0 );
+
+var y = myCDF( 0.0 );
+// returns 0.5
+
+y = myCDF( 2.0 );
+// returns 1.0
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var cdf = require( '@stdlib/stats/base/dists/anglit/cdf' );
+
+var opts = {
+    'dtype': 'float64'
+};
+
+var x = uniform( 10, -5.0, 5.0, opts );
+var mu = uniform( x.length, -5.0, 5.0, opts );
+var sigma = uniform( x.length, 0.5, 5.0, opts );
+
+logEachMap( 'x: %lf, mu: %lf, σ: %lf, F(x;mu,σ): %lf', x, mu, sigma, cdf );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- C interface documentation. -->
+
+* * *
+
+<section class="c">
+
+## C APIs
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- C usage documentation. -->
+
+<section class="usage">
+
+### Usage
+
+```c
+#include "stdlib/stats/base/dists/anglit/cdf.h"
+```
+
+#### stdlib_base_dists_anglit_cdf( x, mu, sigma )
+
+Evaluates the cumulative distribution function (CDF) for an Anglit distribution with location parameter `mu` and scale parameter `sigma` at a value `x`.
+
+```c
+double out = stdlib_base_dists_anglit_cdf( 0.0, 0.0, 1.0 );
+// returns 0.5
+```
+
+The function accepts the following arguments:
+
+-   **x**: `[in] double` input value.
+-   **mu**: `[in] double` location parameter.
+-   **sigma**: `[in] double` scale parameter.
+
+```c
+double stdlib_base_dists_anglit_cdf( const double x, const double mu, const double sigma );
+```
+
+</section>
+
+<!-- /.usage -->
+
+<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+</section>
+
+<!-- /.notes -->
+
+<!-- C API usage examples. -->
+
+<section class="examples">
+
+### Examples
+
+```c
+#include "stdlib/stats/base/dists/anglit/cdf.h"
+#include <stdlib.h>
+#include <stdio.h>
+
+static double random_uniform( const double min, const double max ) {
+    double v = (double)rand() / ( (double)RAND_MAX + 1.0 );
+    return min + ( v*(max-min) );
+}
+
+int main( void ) {
+    double sigma;
+    double mu;
+    double x;
+    double y;
+    int i;
+
+    for ( i = 0; i < 25; i++ ) {
+        x = random_uniform( -10.0, 10.0 );
+        mu = random_uniform( -5.0, 5.0 );
+        sigma = random_uniform( 0.1, 5.0 );
+        y = stdlib_base_dists_anglit_cdf( x, mu, sigma );
+        printf( "x: %lf, mu: %lf, σ: %lf, F(x;mu,σ): %lf\n", x, mu, sigma, y );
+    }
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+</section>
+
+<!-- /.c -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+[cdf]: https://en.wikipedia.org/wiki/Cumulative_distribution_function
+
+[anglit-distribution]: https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.anglit.html
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/stats/base/dists/anglit/cdf/benchmark/benchmark.js

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+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+var cdf = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var sigma;
+	var opts;
+	var mu;
+	var x;
+	var y;
+	var i;
+
+	opts = {
+		'dtype': 'float64'
+	};
+	x = uniform( 100, -10.0, 10.0, opts );
+	mu = uniform( 100, -5.0, 5.0, opts );
+	sigma = uniform( 100, 0.1, 10.0, opts );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = cdf( x[ i % x.length ], mu[ i % mu.length ], sigma[ i % sigma.length ] );
+		if ( isnan( y ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( format( '%s::factory', pkg ), function benchmark( b ) {
+	var mycdf;
+	var sigma;
+	var opts;
+	var mu;
+	var x;
+	var y;
+	var i;
+
+	opts = {
+		'dtype': 'float64'
+	};
+	mu = 0.0;
+	sigma = 2.0;
+	mycdf = cdf.factory( mu, sigma );
+	x = uniform( 100, -5.0, 5.0, opts );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = mycdf( x[ i % x.length ] );
+		if ( isnan( y ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});