From 4cf8ad7f9820ff00bb61360b83d75c295da8f656 Mon Sep 17 00:00:00 2001
From: Jaysukh Makvana <111515433+Jaysukh-409@users.noreply.github.com>
Date: Fri, 27 Dec 2024 06:22:40 +0530
Subject: [PATCH] feat: add `stats/base/dists/planck/cdf`

PR-URL: https://github.com/stdlib-js/stdlib/pull/4130
Co-authored-by: Athan Reines <kgryte@gmail.com>
Reviewed-by: Athan Reines <kgryte@gmail.com>
---
 .../stats/base/dists/planck/cdf/README.md     | 139 ++++++++++++++
 .../dists/planck/cdf/benchmark/benchmark.js   |  79 ++++++++
 .../stats/base/dists/planck/cdf/docs/repl.txt |  64 +++++++
 .../dists/planck/cdf/docs/types/index.d.ts    | 114 ++++++++++++
 .../base/dists/planck/cdf/docs/types/test.ts  |  98 ++++++++++
 .../base/dists/planck/cdf/examples/index.js   |  33 ++++
 .../base/dists/planck/cdf/lib/factory.js      |  80 +++++++++
 .../stats/base/dists/planck/cdf/lib/index.js  |  57 ++++++
 .../stats/base/dists/planck/cdf/lib/main.js   |  79 ++++++++
 .../stats/base/dists/planck/cdf/package.json  |  68 +++++++
 .../test/fixtures/python/large_lambda.json    |   1 +
 .../planck/cdf/test/fixtures/python/runner.py |  87 +++++++++
 .../test/fixtures/python/small_lambda.json    |   1 +
 .../base/dists/planck/cdf/test/test.cdf.js    | 133 ++++++++++++++
 .../dists/planck/cdf/test/test.factory.js     | 169 ++++++++++++++++++
 .../stats/base/dists/planck/cdf/test/test.js  |  38 ++++
 16 files changed, 1240 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/README.md
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/lib/factory.js
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/package.json
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/fixtures/python/large_lambda.json
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/fixtures/python/runner.py
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/fixtures/python/small_lambda.json
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/test.cdf.js
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/test.factory.js
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/test.js

diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/README.md b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/README.md
new file mode 100644
index 000000000000..877f402c385b
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/README.md
@@ -0,0 +1,139 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2024 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
+
+> Planck (discrete exponential) distribution [cumulative distribution function][cdf].
+
+<section class="intro">
+
+The [cumulative distribution function][cdf] for a Planck random variable is
+
+<!-- <equation class="equation" label="eq:planck_cdf" align="center" raw="F(x;\lambda) = 1 - e^{-\lambda \cdot (\lfloor x \rfloor + 1)}" alt="CDF for a Planck distribution."> -->
+
+```math
+F(x;\lambda) = 1 - e^{-\lambda (\lfloor x \rfloor + 1)}
+```
+
+<!-- </equation> -->
+
+where `λ` is the shape parameter and `x` denotes the count of events in a quantized system.
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var cdf = require( '@stdlib/stats/base/dists/planck/cdf' );
+```
+
+#### cdf( x, lambda )
+
+Evaluates the [cumulative distribution function][cdf] for a Planck (discrete exponential) distribution with shape parameter `lambda`.
+
+```javascript
+var y = cdf( 2.0, 0.5 );
+// returns ~0.7769
+
+y = cdf( 2.0, 1.5 );
+// returns ~0.9889
+```
+
+If provided `NaN` as any argument, the function returns `NaN`.
+
+```javascript
+var y = cdf( NaN, 0.5 );
+// returns NaN
+
+y = cdf( 0.0, NaN );
+// returns NaN
+```
+
+If provided a shape parameter `lambda` which is nonpositive, the function returns `NaN`.
+
+```javascript
+var y = cdf( 2.0, -1.0 );
+// returns NaN
+```
+
+#### cdf.factory( lambda )
+
+Returns a function for evaluating the [cumulative distribution function][cdf] of a Planck (discrete exponential) distribution with shape parameter `lambda`.
+
+```javascript
+var mycdf = cdf.factory( 1.5 );
+var y = mycdf( 3.0 );
+// returns ~0.9975
+
+y = mycdf( 1.0 );
+// returns ~0.9502
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var cdf = require( '@stdlib/stats/base/dists/planck/cdf' );
+
+var x = discreteUniform( 10, 0, 5 );
+var lambda = uniform( 10, 0.1, 5.0 );
+
+var y;
+var i;
+for ( i = 0; i < lambda.length; i++ ) {
+    y = cdf( x[ i ], lambda[ i ] );
+    console.log( 'x: %d, λ: %d, F(x;λ): %d', x[ i ].toFixed( 4 ), lambda[ i ].toFixed( 4 ), y.toFixed( 4 ) );
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- 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
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/benchmark/benchmark.js
new file mode 100644
index 000000000000..75dbb71c9dff
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/benchmark/benchmark.js
@@ -0,0 +1,79 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var cdf = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var lambda;
+	var x;
+	var y;
+	var i;
+
+	x = discreteUniform( 100, 0, 40 );
+	lambda = uniform( 100, 0.1, 10.0 );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = cdf( x[ i % x.length ], lambda[ i % lambda.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( pkg+':factory', function benchmark( b ) {
+	var mycdf;
+	var x;
+	var y;
+	var i;
+
+	x = discreteUniform( 100, 0, 40 );
+	mycdf = cdf.factory( 0.3 );
+
+	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();
+});
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/docs/repl.txt
new file mode 100644
index 000000000000..488d8f043a1d
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/docs/repl.txt
@@ -0,0 +1,64 @@
+
+{{alias}}( x, λ )
+    Evaluates the cumulative distribution function (CDF) for a Planck
+    distribution with shape parameter `λ` at a value `x`.
+
+    If provided `NaN` as any argument, the function returns `NaN`.
+
+    If `λ <= 0`, the function returns `NaN`.
+
+    Parameters
+    ----------
+    x: number
+        Input value.
+
+    λ: number
+        Shape parameter.
+
+    Returns
+    -------
+    out: number
+        Evaluated CDF.
+
+    Examples
+    --------
+    > var y = {{alias}}( 2.0, 0.5 )
+    ~0.7769
+    > y = {{alias}}( 2.0, 1.5 )
+    ~0.9889
+    > y = {{alias}}( -1.0, 4.0 )
+    0.0
+    > y = {{alias}}( NaN, 0.5 )
+    NaN
+    > y = {{alias}}( 0.0, NaN )
+    NaN
+    // Invalid shape parameter
+    > y = {{alias}}( 2.0, -1.4 )
+    NaN
+
+
+{{alias}}.factory( λ )
+    Returns a function for evaluating the cumulative distribution function (CDF)
+    of a Planck distribution with shape parameter `λ`.
+
+    Parameters
+    ----------
+    λ: number
+        Shape parameter.
+
+    Returns
+    -------
+    cdf: Function
+        Cumulative distribution function (CDF).
+
+    Examples
+    --------
+    > var mycdf = {{alias}}.factory( 1.5 );
+    > var y = mycdf( 3.0 )
+    ~0.9975
+    > y = mycdf( 1.0 )
+    ~0.9502
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/docs/types/index.d.ts
new file mode 100644
index 000000000000..45434167b9fa
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/docs/types/index.d.ts
@@ -0,0 +1,114 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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.
+*/
+
+// TypeScript Version: 4.1
+
+/**
+* Evaluates the cumulative distribution function (CDF) for a Planck distribution.
+*
+* @param x - input value
+* @returns evaluated CDF
+*/
+type Unary = ( x: number ) => number;
+
+/**
+* Interface for the cumulative distribution function (CDF) of a Planck distribution.
+*/
+interface CDF {
+	/**
+	* Evaluates the cumulative distribution function (CDF) for a Planck distribution with shape parameter `lambda` at a value `x`.
+	*
+	* ## Notes
+	*
+	* -   If `lambda <= 0`, the function returns `NaN`.
+	*
+	* @param x - input value
+	* @param lambda - shape parameter
+	* @returns evaluated CDF
+	*
+	* @example
+	* var y = cdf( 2.0, 0.5 );
+	* // returns ~0.7769
+	*
+	* @example
+	* var y = cdf( 2.0, 1.5 );
+	* // returns ~0.9889
+	*
+	* @example
+	* var y = cdf( -1.0, 0.5 );
+	* // returns 0.0
+	*
+	* @example
+	* var y = cdf( NaN, 0.5 );
+	* // returns NaN
+	*
+	* @example
+	* var y = cdf( 0.0, NaN );
+	* // returns NaN
+	*
+	* @example
+	* // Invalid probability
+	* var y = cdf( 2.0, 1.4 );
+	* // returns NaN
+	*/
+	( x: number, lambda: number ): number;
+
+	/**
+	* Returns a function for evaluating the cumulative distribution function (CDF) for a Planck distribution with shape parameter `lambda`.
+	*
+	* @param lambda - shape parameter
+	* @returns CDF
+	*
+	* @example
+	* var mycdf = cdf.factory( 1.5 );
+	* var y = mycdf( 3.0 );
+	* // returns ~0.9975
+	*
+	* y = mycdf( 1.0 );
+	* // returns ~0.9502
+	*/
+	factory( lambda: number ): Unary;
+}
+
+/**
+* Planck distribution cumulative distribution function (CDF).
+*
+* @param x - input value
+* @param lambda - shape parameter
+* @returns evaluated CDF
+*
+* @example
+* var y = cdf( 2.0, 0.5 );
+* // returns ~0.7769
+*
+* y = cdf( 2.0, 1.5 );
+* // returns ~0.9889
+*
+* var mycdf = cdf.factory( 1.5 );
+* y = mycdf( 3.0 );
+* // returns ~0.9975
+*
+* y = mycdf( 1.0 );
+* // returns ~0.9502
+*/
+declare var cdf: CDF;
+
+
+// EXPORTS //
+
+export = cdf;
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/docs/types/test.ts b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/docs/types/test.ts
new file mode 100644
index 000000000000..56bc2bcb12a5
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/docs/types/test.ts
@@ -0,0 +1,98 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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.
+*/
+
+import cdf = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+	cdf( 2, 0.4 ); // $ExpectType number
+	cdf( 1, 0.2 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided values other than two numbers...
+{
+	cdf( true, 0.3 ); // $ExpectError
+	cdf( false, 0.2 ); // $ExpectError
+	cdf( '5', 0.1 ); // $ExpectError
+	cdf( [], 0.1 ); // $ExpectError
+	cdf( {}, 0.4 ); // $ExpectError
+	cdf( ( x: number ): number => x, 0.2 ); // $ExpectError
+
+	cdf( 1, true ); // $ExpectError
+	cdf( 1, false ); // $ExpectError
+	cdf( 2, '5' ); // $ExpectError
+	cdf( 3, [] ); // $ExpectError
+	cdf( 0, {} ); // $ExpectError
+	cdf( 1, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+	cdf(); // $ExpectError
+	cdf( 2 ); // $ExpectError
+	cdf( 2, 0.3, 4 ); // $ExpectError
+}
+
+// Attached to main export is a `factory` method which returns a function...
+{
+	cdf.factory( 0.4 ); // $ExpectType Unary
+}
+
+// The `factory` method returns a function which returns a number...
+{
+	const fcn = cdf.factory( 0.4 );
+	fcn( 1 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function returned by the `factory` method is provided an invalid argument...
+{
+	const fcn = cdf.factory( 0.4 );
+	fcn( true ); // $ExpectError
+	fcn( false ); // $ExpectError
+	fcn( '5' ); // $ExpectError
+	fcn( [] ); // $ExpectError
+	fcn( {} ); // $ExpectError
+	fcn( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function returned by the `factory` method is provided an unsupported number of arguments...
+{
+	const fcn = cdf.factory( 0.4 );
+	fcn(); // $ExpectError
+	fcn( 2, 0.2 ); // $ExpectError
+	fcn( 2, 0.2, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the `factory` method is provided a value other than a number...
+{
+	cdf.factory( true ); // $ExpectError
+	cdf.factory( false ); // $ExpectError
+	cdf.factory( '5' ); // $ExpectError
+	cdf.factory( [] ); // $ExpectError
+	cdf.factory( {} ); // $ExpectError
+	cdf.factory( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the `factory` method is provided an unsupported number of arguments...
+{
+	cdf.factory( 0.2, 0.2 ); // $ExpectError
+	cdf.factory( 0.3, 0.4, 8 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/examples/index.js
new file mode 100644
index 000000000000..9dbb7e66c788
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/examples/index.js
@@ -0,0 +1,33 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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';
+
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var cdf = require( './../lib' );
+
+var x = discreteUniform( 10, 0, 5 );
+var lambda = uniform( 10, 0.1, 5.0 );
+
+var y;
+var i;
+for ( i = 0; i < lambda.length; i++ ) {
+	y = cdf( x[ i ], lambda[ i ] );
+	console.log( 'x: %d, λ: %d, F(x;λ): %d', x[ i ].toFixed( 4 ), lambda[ i ].toFixed( 4 ), y.toFixed( 4 ) );
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/lib/factory.js b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/lib/factory.js
new file mode 100644
index 000000000000..a4a41872fd5a
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/lib/factory.js
@@ -0,0 +1,80 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 constantFunction = require( '@stdlib/utils/constant-function' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var expm1 = require( '@stdlib/math/base/special/expm1' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var PINF = require( '@stdlib/constants/float64/pinf' );
+
+
+// MAIN //
+
+/**
+* Returns a function for evaluating the cumulative distribution function (CDF) for a Planck distribution with shape parameter `lambda`.
+*
+* @param {PositiveNumber} lambda - shape parameter
+* @returns {Function} CDF
+*
+* @example
+* var cdf = factory( 1.5 );
+* var y = cdf( 3.0 );
+* // returns ~0.9975
+*
+* y = cdf( 1.0 );
+* // returns ~0.9502
+*/
+function factory( lambda ) {
+	if ( isnan( lambda ) || lambda <= 0.0 ) {
+		return constantFunction( NaN );
+	}
+	return cdf;
+
+	/**
+	* Evaluates the cumulative distribution function (CDF) for a Planck distribution.
+	*
+	* @private
+	* @param {number} x - input value
+	* @returns {Probability} evaluated CDF
+	*
+	* @example
+	* var y = cdf( 2.0 );
+	* // returns <number>
+	*/
+	function cdf( x ) {
+		if ( isnan( x ) ) {
+			return NaN;
+		}
+		if ( x < 0.0 ) {
+			return 0.0;
+		}
+		if ( x === PINF ) {
+			return 1.0;
+		}
+		return -expm1( -lambda * ( floor(x)+1.0 ) );
+	}
+}
+
+
+// EXPORTS //
+
+module.exports = factory;
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/lib/index.js b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/lib/index.js
new file mode 100644
index 000000000000..d972bbb6babe
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/lib/index.js
@@ -0,0 +1,57 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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';
+
+/**
+* Planck distribution cumulative distribution function (CDF).
+*
+* @module @stdlib/stats/base/dists/planck/cdf
+*
+* @example
+* var cdf = require( '@stdlib/stats/base/dists/planck/cdf' );
+*
+* var y = cdf( 2.0, 0.5 );
+* // returns 0.875
+*
+* y = cdf( 2.0, 0.1 );
+* // returns ~0.271
+*
+* var mycdf = cdf.factory( 0.5 );
+* y = mycdf( 3.0 );
+* // returns 0.9375
+*
+* y = mycdf( 1.0 );
+* // returns 0.75
+*/
+
+// MODULES //
+
+var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' );
+var main = require( './main.js' );
+var factory = require( './factory.js' );
+
+
+// MAIN //
+
+setReadOnly( main, 'factory', factory );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/lib/main.js
new file mode 100644
index 000000000000..ad907138eb17
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/lib/main.js
@@ -0,0 +1,79 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 isnan = require( '@stdlib/math/base/assert/is-nan' );
+var expm1 = require( '@stdlib/math/base/special/expm1' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var PINF = require( '@stdlib/constants/float64/pinf' );
+
+
+// MAIN //
+
+/**
+* Evaluates the cumulative distribution function (CDF) for a Planck distribution with shape parameter `lambda` at a value `x`.
+*
+* @param {number} x - input value
+* @param {PositiveNumber} lambda - shape parameter
+* @returns {Probability} evaluated CDF
+*
+* @example
+* var y = cdf( 2.0, 0.5 );
+* // returns ~0.7769
+*
+* @example
+* var y = cdf( 2.0, 1.5 );
+* // returns ~0.9889
+*
+* @example
+* var y = cdf( -1.0, 0.5 );
+* // returns 0.0
+*
+* @example
+* var y = cdf( NaN, 0.5 );
+* // returns NaN
+*
+* @example
+* var y = cdf( 0.0, NaN );
+* // returns NaN
+*
+* @example
+* // Invalid shape parameter
+* var y = cdf( 2.0, -1.4 );
+* // returns NaN
+*/
+function cdf( x, lambda ) {
+	if ( isnan( x ) || isnan( lambda ) || lambda <= 0.0 ) {
+		return NaN;
+	}
+	if ( x < 0.0 ) {
+		return 0.0;
+	}
+	if ( x === PINF ) {
+		return 1.0;
+	}
+	return -expm1( -lambda * ( floor(x)+1.0 ) );
+}
+
+
+// EXPORTS //
+
+module.exports = cdf;
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/package.json b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/package.json
new file mode 100644
index 000000000000..81a6efca8c61
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/package.json
@@ -0,0 +1,68 @@
+{
+  "name": "@stdlib/stats/base/dists/planck/cdf",
+  "version": "0.0.0",
+  "description": "Planck (discrete exponential) distribution cumulative distribution function (CDF).",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "directories": {
+    "benchmark": "./benchmark",
+    "doc": "./docs",
+    "example": "./examples",
+    "lib": "./lib",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "stdmath",
+    "statistics",
+    "stats",
+    "distribution",
+    "dist",
+    "probability",
+    "cdf",
+    "cumulative distribution",
+    "distribution function",
+    "memoryless",
+    "life-time",
+    "discrete",
+    "planck",
+    "univariate"
+  ]
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/fixtures/python/large_lambda.json b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/fixtures/python/large_lambda.json
new file mode 100644
index 000000000000..d1ccdeafd008
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/fixtures/python/large_lambda.json
@@ -0,0 +1 @@
+{"x": [3.0, 4.0, 6.0, 7.0, 9.0, 5.0, 10.0, 5.0, 5.0, 2.0, 0.0, 6.0, 5.0, 7.0, 4.0, 0.0, 6.0, 10.0, 6.0, 5.0, 8.0, 10.0, 2.0, 7.0, 5.0, 7.0, 3.0, 9.0, 3.0, 4.0, 1.0, 3.0, 8.0, 3.0, 6.0, 6.0, 4.0, 6.0, 4.0, 0.0, 1.0, 9.0, 5.0, 4.0, 2.0, 3.0, 5.0, 9.0, 9.0, 6.0, 2.0, 0.0, 7.0, 5.0, 8.0, 1.0, 4.0, 10.0, 1.0, 0.0, 4.0, 1.0, 2.0, 6.0, 3.0, 6.0, 9.0, 9.0, 9.0, 5.0, 4.0, 9.0, 6.0, 5.0, 6.0, 1.0, 1.0, 3.0, 1.0, 5.0, 8.0, 9.0, 2.0, 3.0, 4.0, 8.0, 8.0, 3.0, 8.0, 9.0, 1.0, 7.0, 5.0, 6.0, 2.0, 4.0, 5.0, 2.0, 8.0, 7.0, 0.0, 6.0, 9.0, 2.0, 9.0, 7.0, 8.0, 4.0, 7.0, 9.0, 5.0, 9.0, 4.0, 2.0, 5.0, 9.0, 4.0, 1.0, 2.0, 4.0, 5.0, 2.0, 4.0, 4.0, 4.0, 8.0, 7.0, 5.0, 3.0, 7.0, 6.0, 1.0, 1.0, 3.0, 4.0, 4.0, 5.0, 3.0, 0.0, 9.0, 6.0, 4.0, 7.0, 2.0, 3.0, 7.0, 4.0, 7.0, 9.0, 9.0, 6.0, 10.0, 1.0, 3.0, 5.0, 8.0, 2.0, 3.0, 1.0, 8.0, 0.0, 3.0, 5.0, 9.0, 7.0, 5.0, 3.0, 2.0, 7.0, 8.0, 7.0, 1.0, 0.0, 9.0, 8.0, 8.0, 4.0, 4.0, 1.0, 5.0, 3.0, 2.0, 4.0, 5.0, 1.0, 5.0, 3.0, 6.0, 4.0, 6.0, 6.0, 8.0, 5.0, 3.0, 7.0, 9.0, 6.0, 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15.50682284081396, 17.777511770243432, 18.44650116050018, 17.078070530775236, 10.551011624938408, 10.559657804361018, 13.639360380972658, 16.487710530763295, 12.180659202826643, 19.816106482037547, 12.237218201232633, 10.548912110286489, 19.737645208381906, 19.588808301929877, 13.32399291156397, 12.128722289880098, 10.641149290292573, 11.435902474430819, 16.24084516273801, 17.388358313007277, 12.171639001460672, 18.064322705580224, 12.736770778363688, 15.8082168781182, 17.427370302292825, 11.097883338314773, 10.241765555517867, 15.437817520102193, 16.564566270429786, 19.198822412384615, 10.267881307982515, 17.32169271462246, 18.685930431326923, 18.543911666521698, 11.671896875125597, 15.370104909284906, 17.85879693195116, 17.500234130299027, 15.05800665608195, 10.405734877247998, 12.764743584599703, 13.052621623050719, 17.922997928969696, 10.387330857263557, 19.103819703053595, 19.7482186738662, 13.266877581719974, 16.010019719022416, 12.262874501301358, 10.455860428365408, 14.831890623642764, 18.881971728165183, 14.757640956739452, 15.966704630167428, 10.314798543111014, 13.410646448756754, 12.30269176928023, 13.982876749963062, 12.935841659683192, 11.457577314712337, 19.356661740167645, 16.0735526129492, 17.57409669827497, 11.320986072987495, 13.163375944542764, 18.577603666790473, 14.626193106408163, 11.859063082607195, 14.003841095955702, 14.844603283574015, 15.8885852267279, 19.554518264118066, 18.706802564514845, 18.112780274956435, 17.882967531906026, 11.526041880224307, 15.931592224381646, 17.79011491201384, 10.429670034001399, 14.757102153798304, 11.088822684137916, 16.12049210626435, 10.91230976150668, 16.563609394932918, 14.38967829600174, 14.210377734626569, 18.80099945082004, 14.208106364223976, 19.769811609669123, 13.857735484201765, 11.254835518691987, 10.823844718734968, 14.12763546816283, 10.211333954699295, 13.543476218967776, 11.302688095387376, 13.594362302208479, 16.55123183770432, 11.62600475548187, 15.385162363061758, 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/fixtures/python/runner.py b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/fixtures/python/runner.py
new file mode 100644
index 000000000000..1ad7814631ac
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/fixtures/python/runner.py
@@ -0,0 +1,87 @@
+#!/usr/bin/env python
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2024 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.
+
+"""Generate fixtures."""
+
+import os
+import json
+import numpy as np
+from scipy.stats import planck
+
+# Get the file path:
+FILE = os.path.realpath(__file__)
+
+# Extract the directory in which this file resides:
+DIR = os.path.dirname(FILE)
+
+
+def gen(x, lam, name):
+    """
+    Generate fixture data and write to file.
+
+    # Arguments
+
+    * `x`: input values.
+    * `lam`: shape parameter.
+    * `name::str`: output filename.
+
+    # Examples
+
+    ```python
+    python> x = np.random.rand(1000) * 10
+    python> lam = np.random.rand(1000)
+    python> gen(x, lam, "data.json")
+    ```
+    """
+    # Compute CDF values:
+    z = np.array(planck.cdf(x, lam))
+
+    # Store data to be written to file as a dictionary:
+    data = {
+        "x": x.tolist(),
+        "lambda": lam.tolist(),
+        "expected": z.tolist()
+    }
+
+    # Based on the script directory, create an output filepath:
+    filepath = os.path.join(DIR, name)
+
+    # Write the data to the output filepath as JSON:
+    with open(filepath, "w", encoding='utf-8') as outfile:
+        json.dump(data, outfile)
+
+    # Include trailing newline:
+    with open(filepath, "a", encoding='utf-8') as outfile:
+        outfile.write("\n")
+
+
+def main():
+    """Generate fixture data."""
+    # Large shape paramter:
+    x = np.round(np.random.rand(1000) * 10.0)
+    lam = (np.random.rand(1000) * 10.0) + 10.0
+    gen(x, lam, "large_lambda.json")
+
+    # Small shape parameter:
+    x = np.round(np.random.rand(1000) * 10.0)
+    lam = np.random.rand(1000) * 0.5
+    gen(x, lam, "small_lambda.json")
+
+
+if __name__ == "__main__":
+    main()
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/fixtures/python/small_lambda.json b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/fixtures/python/small_lambda.json
new file mode 100644
index 000000000000..6655415bfd42
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/fixtures/python/small_lambda.json
@@ -0,0 +1 @@
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0.32263659275206047, 0.56447004057838, 0.6861168152942021, 0.34787578642291045, 0.6736653577533893, 0.9645645035928915, 0.38674710132581236, 0.6109632141249997, 0.33873735944648165, 0.4978935566481925, 0.9200493816213764, 0.7034633539896709, 0.6893777897460791, 0.9276064218486652, 0.9696786624317554, 0.7363184832515725, 0.4317182382893765, 0.8915943032362699, 0.1970643265656778, 0.5885290379793623, 0.9143803881776659, 0.6336854971845929, 0.8740231142468182, 0.8221612876958263, 0.6726422438112308, 0.9616583656574177, 0.3416554819103615, 0.632921938973822, 0.9308443751134837, 0.7590024951263626, 0.6878927372900362, 0.9373398758765152, 0.533918464386528, 0.7653121612950867, 0.8555680967520223, 0.01961274116765497, 0.05844265940953142, 0.4729905250595385, 0.8023012876805025, 0.2755477327465227, 0.6034170796009914, 0.3901447168641161, 0.9687767855113217, 0.8573738491845615, 0.535211757573004, 0.9893961442793752, 0.3252415996566391, 0.8808265120047034, 0.3218865439497163, 0.2852192825815666, 0.3169132638275268, 0.8674451551165975, 0.9773591203990102, 0.8556707377777775, 0.37983021175905596, 0.6994810492945829, 0.6282340495216456, 0.26526835134910115, 0.2331479204068572, 0.6265993152628606, 0.8224215540224282, 0.4760437758742978, 0.5513104390655144, 0.4348804493153289, 0.7865302887610282, 0.6148385638083008, 0.8613719062919661, 0.9950649393097349, 0.5400505483805801, 0.41108967161208226, 0.2557513814094468, 0.9609223719022724, 0.8090764358417397, 0.07946414169174174, 0.7618313145464086, 0.23558685432969279, 0.23779341865199552, 0.9493843089531175, 0.8821800593761425, 0.8074484300857112, 0.7726379291334118, 0.9930181421436054, 0.8137834035420115, 0.8150617665521206, 0.7300441450680015, 0.9937111639338151, 0.6104847483217315, 0.958545924840936, 0.8415217818422019, 0.9873444369522927, 0.8480265258865858, 0.769271671347705, 0.4853305524228086, 0.1397266779909801, 0.2636487062753804, 0.8273694396723491, 0.8965802001180121, 0.204130112528566, 0.13346711677476386, 0.6428649730167726, 0.8948751106171847, 0.608653564273057, 0.8014441363378715, 0.6360982344150007, 0.43302602026758974, 0.3791588227328835, 0.6832828635990995, 0.893407968888793, 0.2643819190366933, 0.7453234595507174, 0.7085571588689172, 0.8698198027436687, 0.30358862786374674, 0.9336244078160881, 0.11533016869460963, 0.7303288366041503, 0.2806287342237227, 0.9846296451503028, 0.929778490772171, 0.9412989843699795, 0.8264380250294103, 0.6622045186030756, 0.8005127484483097, 0.31867122818034155, 0.6813789447689497, 0.922175591027542, 0.29515193168129794, 0.08261445590347023, 0.9091609240892642, 0.8658527862721589, 0.16283183796261225, 0.33311574663398524, 0.7936257214541584, 0.8633027682382497, 0.37686993502286287, 0.2488555986283968, 0.9866509611702539, 0.9771147352986871, 0.8217466374603306, 0.9690654575961796, 0.13131811342257216, 0.13661547948042202, 0.08322597932863109, 0.19378372299989738, 0.03737189772441177, 0.4910292171095966, 0.9582250341812422, 0.7614526243238003, 0.3900788529917767, 0.373360200483961, 0.5341018355195141, 0.885037018019268, 0.6137004981510471, 0.3313032918831006, 0.6670410335495656, 0.9336634905608936, 0.47920681732512344, 0.9516870645994571, 0.9873757943683387, 0.9821586375732546, 0.768477894858884, 0.6365295422424168, 0.021687543949591354, 0.9514902712320152, 0.04239668990389804, 0.7236377792642967, 0.9342190102539949, 0.39118146279479593, 0.7155862868106623, 0.8624343413522904, 0.8176399372935896, 0.7580092822914241, 0.9781453638022011, 0.9658707341443108, 0.5730218238249055, 0.9843859208724914, 0.17286344656880015, 0.9056535636560191, 0.9343738469017038, 0.8805693437959083, 0.7191981345791909, 0.681593412822906, 0.7051369711971178, 0.6271543489622726, 0.9690155927875316, 0.6638465366602371, 0.20250412383947272, 0.2861781903465643, 0.6242429585809994, 0.9836629586751401, 0.4453326042367634, 0.9365604507438787, 0.9924103533035336, 0.9861589273151143, 0.9687579697570686, 0.22853964051067244, 0.3599191226439759, 0.8648558596344273, 0.5994567765791622, 0.5085969982130538, 0.985920407705427, 0.9586219229580595, 0.4197674602032083, 0.9256640335181161, 0.9289278606254073, 0.8767903861303138, 0.07296145417008355, 0.9055547314151828, 0.9860814531506753, 0.35599168287061833, 0.5307335719926801, 0.7306469656886689, 0.9748488983778152, 0.634717164256644, 0.9016312992006739, 0.344967163970172, 0.6955972066219391, 0.8979354309162704, 0.6523069182445782, 0.9949378016911301, 0.5158059908602148, 0.9494326829042716, 0.9824911008494849, 0.9432932113541397, 0.7418834273472865, 0.97541930526553, 0.8038532341693712, 0.6711752800860702, 0.7678492627905011, 0.9739231064698062, 0.06502933483358626, 0.19094274608041203, 0.3137971049181183, 0.24025935614643085, 0.8078023273825282, 0.5569334256226768, 0.19291850976209018, 0.7078988488002018, 0.9403977522673842, 0.6042149485052632, 0.9162400138053414, 0.33634892192068366, 0.4147589803373568, 0.8841219493578761, 0.9799686328669492, 0.005461494421674661, 0.9252469055482436, 0.8605299849556555, 0.9919504012547766, 0.9450517089343677, 0.951672261065821, 0.9753291938994425, 0.6292960867969724, 0.050794065760512624, 0.8901867557897556, 0.30227633601763526, 0.654644488892733, 0.7523366440941444, 0.32441417827434893, 0.3237708193406661]}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/test.cdf.js b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/test.cdf.js
new file mode 100644
index 000000000000..2f74737e8cf0
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/test.cdf.js
@@ -0,0 +1,133 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 tape = require( 'tape' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var PINF = require( '@stdlib/constants/float64/pinf' );
+var NINF = require( '@stdlib/constants/float64/ninf' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var cdf = require( './../lib' );
+
+
+// FIXTURES //
+
+var smallLambda = require( './fixtures/python/small_lambda.json' );
+var largeLambda = require( './fixtures/python/large_lambda.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof cdf, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'if provided `NaN` for any parameter, the function returns `NaN`', function test( t ) {
+	var y = cdf( NaN, 0.5 );
+	t.equal( isnan( y ), true, 'returns expected value' );
+	y = cdf( 4.0, NaN );
+	t.equal( isnan( y ), true, 'returns expected value' );
+	t.end();
+});
+
+tape( 'if provided `+infinity` for `x` and a valid `lambda`, the function returns `1`', function test( t ) {
+	var y = cdf( PINF, 0.5 );
+	t.equal( y, 1.0, 'returns expected value' );
+	t.end();
+});
+
+tape( 'if provided a negative number for `x` and a valid `lambda`, the function returns `0`', function test( t ) {
+	var y = cdf( NINF, 0.5 );
+	t.equal( y, 0.0, 'returns expected value' );
+
+	y = cdf( -4.0, 0.5 );
+	t.equal( y, 0.0, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'if provided a shape parameter `lambda` which is nonpositive, the function returns `NaN`', function test( t ) {
+	var y;
+
+	y = cdf( 2.0, 0.0 );
+	t.equal( isnan( y ), true, 'returns expected value' );
+
+	y = cdf( 2.0, -1.0 );
+	t.equal( isnan( y ), true, 'returns expected value' );
+
+	y = cdf( 0.0, -1.5 );
+	t.equal( isnan( y ), true, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'the function evaluates the CDF for `x` given small parameter `lambda`', function test( t ) {
+	var expected;
+	var lambda;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = smallLambda.expected;
+	x = smallLambda.x;
+	lambda = smallLambda.lambda;
+	for ( i = 0; i < x.length; i++ ) {
+		y = cdf( x[ i ], lambda[ i ] );
+		if ( y === expected[ i ] ) {
+			t.equal( y, expected[ i ], 'x: '+x[ i ]+', lambda: '+lambda[ i ]+', y: '+y+', expected: '+expected[ i ] );
+		} else {
+			delta = abs( y - expected[ i ] );
+			tol = 1.0 * EPS * abs( expected[ i ] );
+			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. lambda: '+lambda[ i ]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the CDF for `x` given large parameter `lambda`', function test( t ) {
+	var expected;
+	var lambda;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = largeLambda.expected;
+	x = largeLambda.x;
+	lambda = largeLambda.lambda;
+	for ( i = 0; i < x.length; i++ ) {
+		y = cdf( x[ i ], lambda[ i ] );
+		if ( y === expected[ i ] ) {
+			t.equal( y, expected[ i ], 'x: '+x[ i ]+', lambda: '+lambda[ i ]+', y: '+y+', expected: '+expected[ i ] );
+		} else {
+			delta = abs( y - expected[ i ] );
+			tol = 1.0 * EPS * abs( expected[ i ] );
+			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. lambda: '+lambda[ i ]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/test.factory.js b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/test.factory.js
new file mode 100644
index 000000000000..2c0ef47e6ee3
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/test.factory.js
@@ -0,0 +1,169 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 tape = require( 'tape' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var PINF = require( '@stdlib/constants/float64/pinf' );
+var NINF = require( '@stdlib/constants/float64/ninf' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var factory = require( './../lib/factory.js' );
+
+
+// FIXTURES //
+
+var smallLambda = require( './fixtures/python/small_lambda.json' );
+var largeLambda = require( './fixtures/python/large_lambda.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof factory, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function returns a function', function test( t ) {
+	var cdf = factory( 1.0 );
+	t.equal( typeof cdf, 'function', 'returns a function' );
+	t.end();
+});
+
+tape( 'if provided `NaN` for any parameter, the created function returns `NaN`', function test( t ) {
+	var cdf;
+	var y;
+
+	cdf = factory( 0.5 );
+	y = cdf( NaN );
+	t.equal( isnan( y ), true, 'returns expected value' );
+
+	cdf = factory( NaN );
+	y = cdf( 0.0 );
+	t.equal( isnan( y ), true, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'if provided a valid `lambda`, the function returns a function which returns `1` when provided `+infinity` for `x`', function test( t ) {
+	var cdf;
+	var y;
+
+	cdf = factory( 0.5 );
+	y = cdf( PINF );
+	t.equal( y, 1.0, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'if provided a valid `lambda`, the function returns a function which returns `0` when provided a negative number for `x`', function test( t ) {
+	var cdf;
+	var y;
+
+	cdf = factory( 0.5 );
+	y = cdf( NINF );
+	t.equal( y, 0.0, 'returns expected value' );
+
+	y = cdf( -20.0 );
+	t.equal( y, 0.0, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'if provided a shape parameter `lambda` which is nonpositive, the created function always returns `NaN`', function test( t ) {
+	var cdf;
+	var y;
+
+	cdf = factory( 0.0 );
+	y = cdf( 2.0 );
+	t.equal( isnan( y ), true, 'returns NaN' );
+	y = cdf( 0.0 );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	cdf = factory( -1.0 );
+	y = cdf( 2.0 );
+	t.equal( isnan( y ), true, 'returns NaN' );
+	y = cdf( 0.0 );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	cdf = factory( NINF );
+	y = cdf( 2.0 );
+	t.equal( isnan( y ), true, 'returns NaN' );
+	y = cdf( 0.0 );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	t.end();
+});
+
+tape( 'the created function evaluates the CDF for `x` given small parameter `lambda`', function test( t ) {
+	var expected;
+	var lambda;
+	var delta;
+	var cdf;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = smallLambda.expected;
+	x = smallLambda.x;
+	lambda = smallLambda.lambda;
+	for ( i = 0; i < x.length; i++ ) {
+		cdf = factory( lambda[ i ] );
+		y = cdf( x[ i ] );
+		if ( y === expected[ i ] ) {
+			t.equal( y, expected[ i ], 'x: '+x[ i ]+', lambda: '+lambda[ i ]+', y: '+y+', expected: '+expected[ i ] );
+		} else {
+			delta = abs( y - expected[ i ] );
+			tol = 1.0 * EPS * abs( expected[ i ] );
+			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. lambda: '+lambda[ i ]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the created function evaluates the CDF for `x` given large parameter `lambda`', function test( t ) {
+	var expected;
+	var lambda;
+	var delta;
+	var cdf;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = largeLambda.expected;
+	x = largeLambda.x;
+	lambda = largeLambda.lambda;
+	for ( i = 0; i < x.length; i++ ) {
+		cdf = factory( lambda[ i ] );
+		y = cdf( x[ i ] );
+		if ( y === expected[ i ] ) {
+			t.equal( y, expected[ i ], 'x: '+x[ i ]+', lambda: '+lambda[ i ]+', y: '+y+', expected: '+expected[ i ] );
+		} else {
+			delta = abs( y - expected[ i ] );
+			tol = 1.0 * EPS * abs( expected[ i ] );
+			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. lambda: '+lambda[ i ]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/test.js b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/test.js
new file mode 100644
index 000000000000..394217b65976
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/planck/cdf/test/test.js
@@ -0,0 +1,38 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 tape = require( 'tape' );
+var cdf = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof cdf, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'attached to the main export is a `factory` method for generating CDF functions', function test( t ) {
+	t.equal( typeof cdf.factory, 'function', 'exports a factory method' );
+	t.end();
+});