feat: add the JS native and its benchmark and test files

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: na
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---

lib/node_modules/@stdlib/stats/base/dists/negative-binomial/mgf/benchmark/benchmark.native.js

@@ -0,0 +1,76 @@
+/**
+* @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 resolve = require( 'path' ).resolve;
+var bench = require( '@stdlib/bench' );
+var Float64Array = require( '@stdlib/array/float64' );
+var randu = require( '@stdlib/random/base/randu' );
+var ceil = require( '@stdlib/math/base/special/ceil' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var mgf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+    'skip': ( mgf instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+    var len;
+    var t;
+    var r;
+    var p;
+    var y;
+    var i;
+
+    len = 100;
+    t = new Float64Array( len );
+    r = new Float64Array( len );
+    p = new Float64Array( len );
+
+    for ( i = 0; i < len; i++ ) {
+        t[ i ] = randu() * -2.0; // t values must be negative
+        r[ i ] = ceil( randu() * 100.0 ); // r values must be positive integers
+        p[ i ] = ( randu() * (1.0 - EPS) ) + EPS; // p values in (0,1)
+    }
+
+    b.tic();
+    for ( i = 0; i < b.iterations; i++ ) {
+        y = mgf( t[ i % len ], r[ i % len ], p[ i % len ] );
+        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();
+});

lib/node_modules/@stdlib/stats/base/dists/negative-binomial/mgf/lib/native.js

@@ -0,0 +1,64 @@
+/**
+ * @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 addon = require( './../src/addon.node' );
+
+
+// MAIN //
+
+/**
+ * Evaluates the moment-generating function (MGF) for a negative binomial distribution.
+ *
+ * @private
+ * @param {number} t - input value
+ * @param {PositiveNumber} r - number of successes until experiment is stopped
+ * @param {Probability} p - success probability
+ * @returns {number} evaluated MGF
+ *
+ * @example
+ * var y = mgf( 0.05, 20.0, 0.8 );
+ * // returns ~267.839
+ *
+ * @example
+ * var y = mgf( 0.1, 20.0, 0.1 );
+ * // returns ~9.347
+ *
+ * @example
+ * var y = mgf( 0.5, 10.0, 0.4 );
+ * // returns ~42822.023
+ *
+ * @example
+ * var y = mgf( 0.1, 0.0, 0.5 );
+ * // returns NaN
+ *
+ * @example
+ * var y = mgf( NaN, 20.0, 0.5 );
+ * // returns NaN
+ */
+function mgf( t, r, p ) {
+    return addon( t, r, p );
+}
+
+
+// EXPORTS //
+
+module.exports = mgf;

lib/node_modules/@stdlib/stats/base/dists/negative-binomial/mgf/test/test.native.js

@@ -0,0 +1,103 @@
+/**
+* @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 resolve = require( 'path' ).resolve;
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+
+// VARIABLES //
+
+var mgf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( mgf instanceof Error )
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+    t.ok( true, __filename );
+    t.strictEqual( typeof mgf, 'function', 'main export is a function' );
+    t.end();
+});
+
+tape( 'the function returns NaN if provided a NaN input for `t`', opts, function test( t ) {
+    var y = mgf( NaN, 2.0, 0.5 );
+    t.strictEqual( typeof y, 'number', 'returns a number' );
+    t.ok( isNaN( y ), 'returns NaN' );
+    t.end();
+});
+
+tape( 'the function returns NaN if provided a NaN input for `r`', opts, function test( t ) {
+    var y = mgf( 0.1, NaN, 0.5 );
+    t.strictEqual( typeof y, 'number', 'returns a number' );
+    t.ok( isNaN( y ), 'returns NaN' );
+    t.end();
+});
+
+tape( 'the function returns NaN if provided a NaN input for `p`', opts, function test( t ) {
+    var y = mgf( 0.1, 2.0, NaN );
+    t.strictEqual( typeof y, 'number', 'returns a number' );
+    t.ok( isNaN( y ), 'returns NaN' );
+    t.end();
+});
+
+tape( 'the function evaluates the MGF for valid inputs', opts, function test( t ) {
+    var y = mgf( 0.0, 1.0, 0.9 );
+    t.strictEqual( y, 1.0, 'returns 1 when t is 0' );
+
+    y = mgf( 0.05, 20.0, 0.8 );
+    t.ok( Math.abs( y - 267.839 ) < 1e-3, 'returns ~267.839' );
+
+    y = mgf( 0.1, 20.0, 0.1 );
+    t.ok( Math.abs( y - 9.347 ) < 1e-3, 'returns ~9.347' );
+
+    y = mgf( 0.5, 10.0, 0.4 );
+    t.ok( Math.abs( y - 42822.023 ) < 1e-3, 'returns ~42822.023' );
+
+    t.end();
+});
+
+tape( 'the function returns NaN if `p` is outside the interval [0,1]', opts, function test( t ) {
+    var y = mgf( 0.1, 2.0, -0.5 );
+    t.strictEqual( typeof y, 'number', 'returns a number' );
+    t.ok( isNaN( y ), 'returns NaN' );
+
+    y = mgf( 0.1, 2.0, 1.5 );
+    t.strictEqual( typeof y, 'number', 'returns a number' );
+    t.ok( isNaN( y ), 'returns NaN' );
+
+    t.end();
+});
+
+tape( 'the function returns NaN if `r` is less than or equal to 0', opts, function test( t ) {
+    var y = mgf( 0.1, -2.0, 0.5 );
+    t.strictEqual( typeof y, 'number', 'returns a number' );
+    t.ok( isNaN( y ), 'returns NaN' );
+
+    y = mgf( 0.1, 0.0, 0.5 );
+    t.strictEqual( typeof y, 'number', 'returns a number' );
+    t.ok( isNaN( y ), 'returns NaN' );
+
+    t.end();
+});