From e6cfc209acec22c4eca248dcb5a7f39ffda00568 Mon Sep 17 00:00:00 2001
From: DhruvArvindSingh <dhruvsinghxd@gmail.com>
Date: Fri, 27 Dec 2024 19:50:23 +0000
Subject: [PATCH 1/5] feat: add C implementation for
 @stdlib/stats/base/dists/rayleigh/mgf

---
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: passed
  - task: lint_package_json
    status: passed
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: missing_dependencies
  - task: lint_c_examples
    status: missing_dependencies
  - task: lint_c_benchmarks
    status: missing_dependencies
  - 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
---

---
type: pre_push_report
description: Results of running various checks prior to pushing changes.
report:
  - task: run_javascript_examples
    status: na
  - task: run_c_examples
    status: na
  - task: run_cpp_examples
    status: na
  - task: run_javascript_readme_examples
    status: na
  - task: run_c_benchmarks
    status: na
  - task: run_cpp_benchmarks
    status: na
  - task: run_fortran_benchmarks
    status: na
  - task: run_javascript_benchmarks
    status: na
  - task: run_julia_benchmarks
    status: na
  - task: run_python_benchmarks
    status: na
  - task: run_r_benchmarks
    status: na
  - task: run_javascript_tests
    status: na
---
---
 .../stats/base/dists/rayleigh/mgf/README.md   |  84 +++++++++
 .../dists/rayleigh/mgf/benchmark/benchmark.js |  15 +-
 .../mgf/benchmark/benchmark.native.js         |  71 ++++++++
 .../dists/rayleigh/mgf/benchmark/c/Makefile   | 146 +++++++++++++++
 .../rayleigh/mgf/benchmark/c/benchmark.c      | 141 +++++++++++++++
 .../stats/base/dists/rayleigh/mgf/binding.gyp | 170 ++++++++++++++++++
 .../dists/rayleigh/mgf/examples/c/Makefile    | 146 +++++++++++++++
 .../dists/rayleigh/mgf/examples/c/example.c   |  39 ++++
 .../base/dists/rayleigh/mgf/include.gypi      |  53 ++++++
 .../stdlib/stats/base/dists/rayleigh/mgf.h    |  38 ++++
 .../base/dists/rayleigh/mgf/lib/native.js     |  66 +++++++
 .../base/dists/rayleigh/mgf/manifest.json     |  88 +++++++++
 .../base/dists/rayleigh/mgf/package.json      |   3 +
 .../base/dists/rayleigh/mgf/src/Makefile      |  70 ++++++++
 .../stats/base/dists/rayleigh/mgf/src/addon.c |  23 +++
 .../stats/base/dists/rayleigh/mgf/src/main.c  |  74 ++++++++
 .../dists/rayleigh/mgf/test/test.native.js    |  79 ++++++++
 17 files changed, 1303 insertions(+), 3 deletions(-)
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.native.js
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/Makefile
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/benchmark.c
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/binding.gyp
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/Makefile
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/example.c
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include.gypi
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include/stdlib/stats/base/dists/rayleigh/mgf.h
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/lib/native.js
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/manifest.json
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/Makefile
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/test/test.native.js

diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/README.md b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/README.md
index 359c6249d107..7af1cfa32656 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/README.md
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/README.md
@@ -143,6 +143,90 @@ for ( i = 0; i < 10; i++ ) {
 
 <!-- /.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/rayleigh/mgf.h"
+```
+
+#### stdlib_base_dists_rayleigh_mgf( t, sigma )
+
+Evaluates the mgf for a Rayleigh distribution.
+
+```c
+double out = stdlib_base_dists_rayleigh_mgf( 1.0, 3.0  );
+// returns ~678.508
+```
+
+The function accepts the following arguments:
+
+-   **sigma**: `[in] double` scale parameter.
+
+```c
+double stdlib_base_dists_rayleigh_mgf( const double t, 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/rayleigh/mgf.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 t;
+    double y;
+    int i;
+    for ( i = 0; i < 25; i++ ) {
+        t = random_uniform( 0.0, 10.0 );
+        sigma = random_uniform( 0.0, 10.0 );
+        y = stdlib_base_dists_rayleigh_mgf( t, sigma );
+        printf( "t: %lf, σ: %lf, f(x;σ): %lf\n", t, sigma, y );
+    }
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+</section>
+
+<!-- /.c -->
+
+
 <!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
 
 <section class="references">
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.js
index 7dd6fb1b179c..230e0e067d03 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.js
@@ -21,6 +21,7 @@
 // MODULES //
 
 var bench = require( '@stdlib/bench' );
+var Float64Array = require( '@stdlib/array/float64' );
 var randu = require( '@stdlib/random/base/randu' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
 var EPS = require( '@stdlib/constants/float64/eps' );
@@ -32,15 +33,23 @@ var mgf = require( './../lib' );
 
 bench( pkg, function benchmark( b ) {
 	var sigma;
+	var len;
+	var t;
 	var x;
 	var y;
 	var i;
 
+	len = 100;
+	sigma = new Float64Array( len );
+	t = new Float64Array( len );
+	for ( i = 0; i < len; i++ ) {
+		sigma[ i ] = ( randu()*20.0 ) + EPS;
+		t[ i ] = ( randu()*20.0 ) + EPS;
+	}
+
 	b.tic();
 	for ( i = 0; i < b.iterations; i++ ) {
-		x = ( randu()*5.0 ) - 5.0;
-		sigma = ( randu()*5.0 ) + EPS;
-		y = mgf( x, sigma );
+		y = mgf( x[ i % len ], sigma[ i % len ] );
 		if ( isnan( y ) ) {
 			b.fail( 'should not return NaN' );
 		}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..608fe6e1de57
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.native.js
@@ -0,0 +1,71 @@
+/**
+* @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 EPS = require( '@stdlib/constants/float64/eps' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+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 sigma;
+	var len;
+	var t;
+	var y;
+	var i;
+
+	len = 100;
+	sigma = new Float64Array( len );
+	t = new Float64Array( len );
+	for ( i = 0; i < len; i++ ) {
+		sigma[ i ] = ( randu()*20.0 ) + EPS;
+		t[ i ] = ( randu()*20.0 ) + EPS;
+	}
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = mgf( t[ i % len ], sigma[ 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();
+});
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/Makefile
new file mode 100644
index 000000000000..f69e9da2b4d3
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @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.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+else
+	QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+	OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+	CC := $(C_COMPILER)
+else
+	CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+	-std=c99 \
+	-O3 \
+	-Wall \
+	-pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+	fPIC ?=
+else
+	fPIC ?= -fPIC
+endif
+
+# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`):
+INCLUDE ?=
+
+# List of source files:
+SOURCE_FILES ?=
+
+# List of libraries (e.g., `-lopenblas -lpthread`):
+LIBRARIES ?=
+
+# List of library paths (e.g., `-L /foo/bar -L /beep/boop`):
+LIBPATH ?=
+
+# List of C targets:
+c_targets := benchmark.out
+
+
+# RULES #
+
+#/
+# Compiles source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`)
+# @param {string} [SOURCE_FILES] - list of source files
+# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`)
+# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler (e.g., `gcc`)
+# @param {string} CFLAGS - C compiler options
+# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`)
+# @param {string} SOURCE_FILES - list of source files
+# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`)
+# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`)
+#/
+$(c_targets): %.out: %.c
+	$(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
+
+#/
+# Runs compiled benchmarks.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+	$(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+	$(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..4875fb6c03a0
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/benchmark.c
@@ -0,0 +1,141 @@
+/**
+* @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.
+*/
+
+#include "stdlib/stats/base/dists/rayleigh/mgf.h"
+#include "stdlib/constants/float64/eps.h"
+#include <stdlib.h>
+#include <stdio.h>
+#include <math.h>
+#include <time.h>
+#include <sys/time.h>
+
+#define NAME "rayleigh-mgf"
+#define ITERATIONS 1000000
+#define REPEATS 3
+
+/**
+* Prints the TAP version.
+*/
+static void print_version( void ) {
+	printf( "TAP version 13\n" );
+}
+
+/**
+* Prints the TAP summary.
+*
+* @param total     total number of tests
+* @param passing   total number of passing tests
+*/
+static void print_summary( int total, int passing ) {
+	printf( "#\n" );
+	printf( "1..%d\n", total ); // TAP plan
+	printf( "# total %d\n", total );
+	printf( "# pass  %d\n", passing );
+	printf( "#\n" );
+	printf( "# ok\n" );
+}
+
+/**
+* Prints benchmarks results.
+*
+* @param elapsed   elapsed time in seconds
+*/
+static void print_results( double elapsed ) {
+	double rate = (double)ITERATIONS / elapsed;
+	printf( "  ---\n" );
+	printf( "  iterations: %d\n", ITERATIONS );
+	printf( "  elapsed: %0.9f\n", elapsed );
+	printf( "  rate: %0.9f\n", rate );
+	printf( "  ...\n" );
+}
+
+/**
+* Returns a clock time.
+*
+* @return clock time
+*/
+static double tic( void ) {
+	struct timeval now;
+	gettimeofday( &now, NULL );
+	return (double)now.tv_sec + (double)now.tv_usec/1.0e6;
+}
+
+/**
+* Generates a random number on the interval [min,max).
+*
+* @param min    minimum value (inclusive)
+* @param max    maximum value (exclusive)
+* @return       random number
+*/
+static double random_uniform( const double min, const double max ) {
+	double v = (double)rand() / ( (double)RAND_MAX + 1.0 );
+	return min + ( v*(max-min) );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+	double elapsed;
+	double sigma[ 100 ];
+	double x[ 100 ];
+	double y;
+	double t;
+	int i;
+
+	for ( i = 0; i < 100; i++ ) {
+		sigma[ i ] = random_uniform( 0.0, 20.0 ) + STDLIB_CONSTANT_FLOAT64_EPS;
+		x[ i ] = random_uniform( 0.0, 20.0 ) + STDLIB_CONSTANT_FLOAT64_EPS;
+	}
+
+	t = tic();
+	for ( i = 0; i < ITERATIONS; i++ ) {
+		y = stdlib_base_dists_rayleigh_mgf( x[ i%100 ], sigma[ i%100 ] );
+		if ( y != y ) {
+			printf( "should not return NaN\n" );
+			break;
+		}
+	}
+	elapsed = tic() - t;
+	if ( y != y ) {
+		printf( "should not return NaN\n" );
+	}
+	return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+	double elapsed;
+	int i;
+
+	// Use the current time to seed the random number generator:
+	srand( time( NULL ) );
+
+	print_version();
+	for ( i = 0; i < REPEATS; i++ ) {
+		printf( "# c::%s\n", NAME );
+		elapsed = benchmark();
+		print_results( elapsed );
+		printf( "ok %d benchmark finished\n", i+1 );
+	}
+	print_summary( REPEATS, REPEATS );
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/binding.gyp b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/binding.gyp
new file mode 100644
index 000000000000..ec3992233442
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/binding.gyp
@@ -0,0 +1,170 @@
+# @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.
+
+# A `.gyp` file for building a Node.js native add-on.
+#
+# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md
+# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md
+{
+  # List of files to include in this file:
+  'includes': [
+    './include.gypi',
+  ],
+
+  # Define variables to be used throughout the configuration for all targets:
+  'variables': {
+    # Target name should match the add-on export name:
+    'addon_target_name%': 'addon',
+
+    # Set variables based on the host OS:
+    'conditions': [
+      [
+        'OS=="win"',
+        {
+          # Define the object file suffix:
+          'obj': 'obj',
+        },
+        {
+          # Define the object file suffix:
+          'obj': 'o',
+        }
+      ], # end condition (OS=="win")
+    ], # end conditions
+  }, # end variables
+
+  # Define compile targets:
+  'targets': [
+
+    # Target to generate an add-on:
+    {
+      # The target name should match the add-on export name:
+      'target_name': '<(addon_target_name)',
+
+      # Define dependencies:
+      'dependencies': [],
+
+      # Define directories which contain relevant include headers:
+      'include_dirs': [
+        # Local include directory:
+        '<@(include_dirs)',
+      ],
+
+      # List of source files:
+      'sources': [
+        '<@(src_files)',
+      ],
+
+      # Settings which should be applied when a target's object files are used as linker input:
+      'link_settings': {
+        # Define libraries:
+        'libraries': [
+          '<@(libraries)',
+        ],
+
+        # Define library directories:
+        'library_dirs': [
+          '<@(library_dirs)',
+        ],
+      },
+
+      # C/C++ compiler flags:
+      'cflags': [
+        # Enable commonly used warning options:
+        '-Wall',
+
+        # Aggressive optimization:
+        '-O3',
+      ],
+
+      # C specific compiler flags:
+      'cflags_c': [
+        # Specify the C standard to which a program is expected to conform:
+        '-std=c99',
+      ],
+
+      # C++ specific compiler flags:
+      'cflags_cpp': [
+        # Specify the C++ standard to which a program is expected to conform:
+        '-std=c++11',
+      ],
+
+      # Linker flags:
+      'ldflags': [],
+
+      # Apply conditions based on the host OS:
+      'conditions': [
+        [
+          'OS=="mac"',
+          {
+            # Linker flags:
+            'ldflags': [
+              '-undefined dynamic_lookup',
+              '-Wl,-no-pie',
+              '-Wl,-search_paths_first',
+            ],
+          },
+        ], # end condition (OS=="mac")
+        [
+          'OS!="win"',
+          {
+            # C/C++ flags:
+            'cflags': [
+              # Generate platform-independent code:
+              '-fPIC',
+            ],
+          },
+        ], # end condition (OS!="win")
+      ], # end conditions
+    }, # end target <(addon_target_name)
+
+    # Target to copy a generated add-on to a standard location:
+    {
+      'target_name': 'copy_addon',
+
+      # Declare that the output of this target is not linked:
+      'type': 'none',
+
+      # Define dependencies:
+      'dependencies': [
+        # Require that the add-on be generated before building this target:
+        '<(addon_target_name)',
+      ],
+
+      # Define a list of actions:
+      'actions': [
+        {
+          'action_name': 'copy_addon',
+          'message': 'Copying addon...',
+
+          # Explicitly list the inputs in the command-line invocation below:
+          'inputs': [],
+
+          # Declare the expected outputs:
+          'outputs': [
+            '<(addon_output_dir)/<(addon_target_name).node',
+          ],
+
+          # Define the command-line invocation:
+          'action': [
+            'cp',
+            '<(PRODUCT_DIR)/<(addon_target_name).node',
+            '<(addon_output_dir)/<(addon_target_name).node',
+          ],
+        },
+      ], # end actions
+    }, # end target copy_addon
+  ], # end targets
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/Makefile
new file mode 100644
index 000000000000..6aed70daf167
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @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.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+else
+	QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+	OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+	CC := $(C_COMPILER)
+else
+	CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+	-std=c99 \
+	-O3 \
+	-Wall \
+	-pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+	fPIC ?=
+else
+	fPIC ?= -fPIC
+endif
+
+# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`):
+INCLUDE ?=
+
+# List of source files:
+SOURCE_FILES ?=
+
+# List of libraries (e.g., `-lopenblas -lpthread`):
+LIBRARIES ?=
+
+# List of library paths (e.g., `-L /foo/bar -L /beep/boop`):
+LIBPATH ?=
+
+# List of C targets:
+c_targets := example.out
+
+
+# RULES #
+
+#/
+# Compiles source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`)
+# @param {string} [SOURCE_FILES] - list of source files
+# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`)
+# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler (e.g., `gcc`)
+# @param {string} CFLAGS - C compiler options
+# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`)
+# @param {string} SOURCE_FILES - list of source files
+# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`)
+# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`)
+#/
+$(c_targets): %.out: %.c
+	$(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
+
+#/
+# Runs compiled examples.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+	$(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+	$(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/example.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/example.c
new file mode 100644
index 000000000000..f808936472e4
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/example.c
@@ -0,0 +1,39 @@
+/**
+* @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.
+*/
+
+#include "stdlib/stats/base/dists/rayleigh/mgf.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 t;
+	double y;
+	int i;
+	for ( i = 0; i < 25; i++ ) {
+		sigma = random_uniform( 0 , 10.0 );
+		t = random_uniform( 0 , 10.0 );
+		y = stdlib_base_dists_rayleigh_mgf( t, sigma );
+		printf( "t: %lf, σ: %lf, mgf(X;t,Y;σ): %lf\n", t, sigma, y );
+	}
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include.gypi b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include.gypi
new file mode 100644
index 000000000000..575cb043c0bf
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include.gypi
@@ -0,0 +1,53 @@
+# @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.
+
+# A GYP include file for building a Node.js native add-on.
+#
+# Main documentation:
+#
+# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md
+# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md
+{
+  # Define variables to be used throughout the configuration for all targets:
+  'variables': {
+    # Source directory:
+    'src_dir': './src',
+
+    # Include directories:
+    'include_dirs': [
+      '<!@(node -e "var arr = require(\'@stdlib/utils/library-manifest\')(\'./manifest.json\',{},{\'basedir\':process.cwd(),\'paths\':\'posix\'}).include; for ( var i = 0; i < arr.length; i++ ) { console.log( arr[ i ] ); }")',
+    ],
+
+    # Add-on destination directory:
+    'addon_output_dir': './src',
+
+    # Source files:
+    'src_files': [
+      '<(src_dir)/addon.c',
+      '<!@(node -e "var arr = require(\'@stdlib/utils/library-manifest\')(\'./manifest.json\',{},{\'basedir\':process.cwd(),\'paths\':\'posix\'}).src; for ( var i = 0; i < arr.length; i++ ) { console.log( arr[ i ] ); }")',
+    ],
+
+    # Library dependencies:
+    'libraries': [
+      '<!@(node -e "var arr = require(\'@stdlib/utils/library-manifest\')(\'./manifest.json\',{},{\'basedir\':process.cwd(),\'paths\':\'posix\'}).libraries; for ( var i = 0; i < arr.length; i++ ) { console.log( arr[ i ] ); }")',
+    ],
+
+    # Library directories:
+    'library_dirs': [
+      '<!@(node -e "var arr = require(\'@stdlib/utils/library-manifest\')(\'./manifest.json\',{},{\'basedir\':process.cwd(),\'paths\':\'posix\'}).libpath; for ( var i = 0; i < arr.length; i++ ) { console.log( arr[ i ] ); }")',
+    ],
+  }, # end variables
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include/stdlib/stats/base/dists/rayleigh/mgf.h b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include/stdlib/stats/base/dists/rayleigh/mgf.h
new file mode 100644
index 000000000000..2dddd5d67d14
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include/stdlib/stats/base/dists/rayleigh/mgf.h
@@ -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.
+*/
+
+#ifndef STDLIB_STATS_BASE_DISTS_RAYLEIGH_MGF_H
+#define STDLIB_STATS_BASE_DISTS_RAYLEIGH_MGF_H
+
+/*
+* If C++, prevent name mangling so that the compiler emits a binary file having undecorated names, thus mirroring the behavior of a C compiler.
+*/
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/**
+* Returns the mgf for a Rayleigh distribution.
+*/
+double stdlib_base_dists_rayleigh_mgf( const double t, const double sigma );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif // !STDLIB_STATS_BASE_DISTS_RAYLEIGH_MGF_H
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/lib/native.js b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/lib/native.js
new file mode 100644
index 000000000000..8ab2220b7735
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/lib/native.js
@@ -0,0 +1,66 @@
+/**
+* @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 Rayleigh distribution with scale parameter `sigma` at a value `t`.
+*
+* @param {number} t - input value
+* @param {NonNegativeNumber} sigma - scale parameter
+* @returns {number} evaluated MGF
+*
+* @example
+* var y = mgf( 1.0, 3.0 );
+* // returns ~678.508
+*
+* @example
+* var y = mgf( 1.0, 2.0 );
+* // returns ~38.65
+*
+* @example
+* var y = mgf( -1.0, 4.0 );
+* // returns ~-0.947
+*
+* @example
+* var y = mgf( NaN, 1.0 );
+* // returns NaN
+*
+* @example
+* var y = mgf( 0.0, NaN );
+* // returns NaN
+*
+* @example
+* var y = mgf( 0.5, -1.0 );
+* // returns NaN
+*/
+function mgf( t, sigma ) {
+	return addon( t, sigma );
+}
+
+
+// EXPORTS //
+
+module.exports = mgf;
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/manifest.json b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/manifest.json
new file mode 100644
index 000000000000..20cf4ad04e5f
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/manifest.json
@@ -0,0 +1,88 @@
+{
+  "options": {
+    "task": "build",
+    "wasm": false
+  },
+  "fields": [
+    {
+      "field": "src",
+      "resolve": true,
+      "relative": true
+    },
+    {
+      "field": "include",
+      "resolve": true,
+      "relative": true
+    },
+    {
+      "field": "libraries",
+      "resolve": false,
+      "relative": false
+    },
+    {
+      "field": "libpath",
+      "resolve": true,
+      "relative": false
+    }
+  ],
+  "confs": [
+    {
+      "task": "build",
+      "wasm": false,
+      "src": [
+        "./src/main.c"
+      ],
+      "include": [
+        "./include"
+      ],
+      "libraries": [],
+      "libpath": [],
+      "dependencies": [
+        "@stdlib/math/base/assert/is-nan",
+        "@stdlib/math/base/special/exp",
+        "@stdlib/math/base/special/erf",
+        "@stdlib/constants/float64/sqrt-half-pi",
+        "@stdlib/constants/float64/sqrt-two"
+      ]
+    },
+    {
+      "task": "benchmark",
+      "wasm": false,
+      "src": [
+        "./src/main.c"
+      ],
+      "include": [
+        "./include"
+      ],
+      "libraries": [],
+      "libpath": [],
+      "dependencies": [
+        "@stdlib/constants/float64/eps",
+        "@stdlib/math/base/assert/is-nan",
+        "@stdlib/math/base/special/exp",
+        "@stdlib/math/base/special/erf",
+        "@stdlib/constants/float64/sqrt-half-pi",
+        "@stdlib/constants/float64/sqrt-two"
+      ]
+    },
+    {
+      "task": "examples",
+      "wasm": false,
+      "src": [
+        "./src/main.c"
+      ],
+      "include": [
+        "./include"
+      ],
+      "libraries": [],
+      "libpath": [],
+      "dependencies": [
+        "@stdlib/math/base/assert/is-nan",
+        "@stdlib/math/base/special/exp",
+        "@stdlib/math/base/special/erf",
+        "@stdlib/constants/float64/sqrt-half-pi",
+        "@stdlib/constants/float64/sqrt-two"
+      ]
+    }
+  ]
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/package.json b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/package.json
index 2c87d9bb87b3..ee35bfa5b42b 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/package.json
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/package.json
@@ -14,11 +14,14 @@
     }
   ],
   "main": "./lib",
+  "gypfile": true,
   "directories": {
     "benchmark": "./benchmark",
     "doc": "./docs",
     "example": "./examples",
+    "include": "./include",
     "lib": "./lib",
+    "src": "./src",
     "test": "./test"
   },
   "types": "./docs/types",
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/Makefile b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/Makefile
new file mode 100644
index 000000000000..bcf18aa46655
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/Makefile
@@ -0,0 +1,70 @@
+#/
+# @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.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+else
+	QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+	OS := WINNT
+endif
+endif
+endif
+endif
+
+
+# RULES #
+
+#/
+# Removes generated files for building an add-on.
+#
+# @example
+# make clean-addon
+#/
+clean-addon:
+	$(QUIET) -rm -f *.o *.node
+
+.PHONY: clean-addon
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean: clean-addon
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c
new file mode 100644
index 000000000000..bb2afe1d0a1c
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c
@@ -0,0 +1,23 @@
+/**
+* @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.
+*/
+
+#include "stdlib/stats/base/dists/rayleigh/mgf.h"
+#include "stdlib/math/base/napi/binary.h"
+
+// cppcheck-suppress shadowFunction
+STDLIB_MATH_BASE_NAPI_MODULE_DD_D( stdlib_base_dists_rayleigh_mgf )
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
new file mode 100644
index 000000000000..0dcee3260c38
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
@@ -0,0 +1,74 @@
+/**
+* @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.
+*/
+
+#include "stdlib/stats/base/dists/rayleigh/mgf.h"
+#include "stdlib/math/base/assert/is_nan.h"
+#include "stdlib/math/base/special/exp.h"
+#include "stdlib/math/base/special/erf.h"
+
+#define STDLIB_CONSTANT_FLOAT64_SQRT_HALF_PI 1.2533141373155002512
+#define STDLIB_CONSTANT_FLOAT64_SQRT2 1.4142135623730950488
+
+// MAIN //
+
+/**
+* Evaluates the moment-generating function (MGF) for a Rayleigh distribution with scale parameter `sigma` at a value `t`.
+*
+* @param {number} t - input value
+* @param {NonNegativeNumber} sigma - scale parameter
+* @returns {number} evaluated MGF
+*
+* @example
+* double y = mgf( 1.0, 3.0 );
+* // returns ~678.508
+*
+* @example
+* double y = stdlib_base_dists_rayleigh_mgf( 1.0, 2.0 );
+* // returns ~38.65
+*
+* @example
+* double y = stdlib_base_dists_rayleigh_mgf( -1.0, 4.0 );
+* // returns ~-0.947
+*
+* @example
+* double y = stdlib_base_dists_rayleigh_mgf( NaN, 1.0 );
+* // returns NaN
+*
+* @example
+* double y = stdlib_base_dists_rayleigh_mgf( 0.0, NaN );
+* // returns NaN
+*
+* @example
+* double y = stdlib_base_dists_rayleigh_mgf( 0.5, -1.0 );
+* // returns NaN
+*/
+double stdlib_base_dists_rayleigh_mgf( const double t, const double sigma ) {
+	double sigmat;
+	double out;
+	if (
+		stdlib_base_is_nan( t ) ||
+		stdlib_base_is_nan( sigma ) ||
+		sigma < 0.0
+	) {
+		return 0.0/0.0; // NaN
+	}
+	sigmat = t * sigma;
+	out = 1.0 + (sigmat * stdlib_base_exp( sigmat*sigmat / 2.0 ));
+ 	out *= STDLIB_CONSTANT_FLOAT64_SQRT_HALF_PI * ( stdlib_base_erf( sigmat / STDLIB_CONSTANT_FLOAT64_SQRT2 ) + 1.0 );
+	return out;
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/test/test.native.js
new file mode 100644
index 000000000000..a868cd9f3d26
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/test/test.native.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 resolve = require( 'path' ).resolve;
+var tape = require( 'tape' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var randu = require( '@stdlib/random/base/randu' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var isNumber = require( '@stdlib/assert/is-number' );
+var NINF = require( '@stdlib/constants/float64/ninf' );
+
+
+// VARIABLES //
+
+var mgf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof mgf, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'if provided `NaN` for any parameter, the function returns `NaN`', function test( t ) {
+	var y = mgf( NaN, 0.0 );
+	t.equal( isnan( y ), true, 'returns NaN' );
+	y = mgf( 0.0, NaN );
+	t.equal( isnan( y ), true, 'returns NaN' );
+	t.end();
+});
+
+tape( 'if provided a negative `sigma`, the function returns `NaN`', function test( t ) {
+	var y;
+
+	y = mgf( 2.0, -1.0 );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	y = mgf( 2.0, NINF );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	t.end();
+});
+
+tape( 'the function evaluates the mgf', function test( t ) {
+	var sigma;
+	var i;
+	var x;
+	var y;
+
+	// TODO: Add test fixtures (function is not available in R and Julia)
+	for ( i = 0; i < 100; i++ ) {
+		x = randu();
+		sigma = randu() * 20.0;
+		y = mgf( x, sigma );
+		t.strictEqual( !isnan( y ) && isNumber( y ), true, 'returns a number' );
+	}
+	t.end();
+});

From 3a491dc92649112af754164da2a316e870f84bb9 Mon Sep 17 00:00:00 2001
From: stdlib-bot <82920195+stdlib-bot@users.noreply.github.com>
Date: Mon, 16 Jun 2025 22:36:12 +0000
Subject: [PATCH 2/5] chore: update copyright years

---
 .../stats/base/dists/rayleigh/mgf/benchmark/benchmark.native.js | 2 +-
 .../@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/Makefile  | 2 +-
 .../stats/base/dists/rayleigh/mgf/benchmark/c/benchmark.c       | 2 +-
 .../@stdlib/stats/base/dists/rayleigh/mgf/binding.gyp           | 2 +-
 .../@stdlib/stats/base/dists/rayleigh/mgf/examples/c/Makefile   | 2 +-
 .../@stdlib/stats/base/dists/rayleigh/mgf/examples/c/example.c  | 2 +-
 .../@stdlib/stats/base/dists/rayleigh/mgf/include.gypi          | 2 +-
 .../rayleigh/mgf/include/stdlib/stats/base/dists/rayleigh/mgf.h | 2 +-
 .../@stdlib/stats/base/dists/rayleigh/mgf/lib/native.js         | 2 +-
 .../@stdlib/stats/base/dists/rayleigh/mgf/src/Makefile          | 2 +-
 .../@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c           | 2 +-
 .../@stdlib/stats/base/dists/rayleigh/mgf/src/main.c            | 2 +-
 .../@stdlib/stats/base/dists/rayleigh/mgf/test/test.native.js   | 2 +-
 13 files changed, 13 insertions(+), 13 deletions(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.native.js
index 608fe6e1de57..28e0fff36d19 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.native.js
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 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.
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/Makefile
index f69e9da2b4d3..a4bd7b38fd74 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/Makefile
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/Makefile
@@ -1,7 +1,7 @@
 #/
 # @license Apache-2.0
 #
-# Copyright (c) 2024 The Stdlib Authors.
+# Copyright (c) 2025 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.
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/benchmark.c
index 4875fb6c03a0..6331728aaa6c 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/benchmark.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/benchmark.c
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 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.
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/binding.gyp b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/binding.gyp
index ec3992233442..68a1ca11d160 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/binding.gyp
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/binding.gyp
@@ -1,6 +1,6 @@
 # @license Apache-2.0
 #
-# Copyright (c) 2024 The Stdlib Authors.
+# Copyright (c) 2025 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.
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/Makefile
index 6aed70daf167..25ced822f96a 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/Makefile
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/Makefile
@@ -1,7 +1,7 @@
 #/
 # @license Apache-2.0
 #
-# Copyright (c) 2024 The Stdlib Authors.
+# Copyright (c) 2025 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.
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/example.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/example.c
index f808936472e4..0b8912a83ac4 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/example.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/example.c
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 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.
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include.gypi b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include.gypi
index 575cb043c0bf..ecfaf82a3279 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include.gypi
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include.gypi
@@ -1,6 +1,6 @@
 # @license Apache-2.0
 #
-# Copyright (c) 2024 The Stdlib Authors.
+# Copyright (c) 2025 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.
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include/stdlib/stats/base/dists/rayleigh/mgf.h b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include/stdlib/stats/base/dists/rayleigh/mgf.h
index 2dddd5d67d14..17eee436203a 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include/stdlib/stats/base/dists/rayleigh/mgf.h
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include/stdlib/stats/base/dists/rayleigh/mgf.h
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 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.
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/lib/native.js b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/lib/native.js
index 8ab2220b7735..067d0023cd75 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/lib/native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/lib/native.js
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 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.
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/Makefile b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/Makefile
index bcf18aa46655..7733b6180cb4 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/Makefile
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/Makefile
@@ -1,7 +1,7 @@
 #/
 # @license Apache-2.0
 #
-# Copyright (c) 2024 The Stdlib Authors.
+# Copyright (c) 2025 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.
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c
index bb2afe1d0a1c..6796b4160e71 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 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.
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
index 0dcee3260c38..c998e38f278c 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 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.
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/test/test.native.js
index a868cd9f3d26..37870b4b3b44 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/test/test.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/test/test.native.js
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 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.

From 781840cccb4ec1533cd8da4c0db8aba17c2b509f Mon Sep 17 00:00:00 2001
From: Philipp Burckhardt <pburckhardt@outlook.com>
Date: Mon, 16 Jun 2025 17:50:22 -0500
Subject: [PATCH 3/5] chore: minor clean-up

---
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: passed
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: passed
  - task: lint_c_examples
    status: passed
  - task: lint_c_benchmarks
    status: passed
  - 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
---
---
 .../stats/base/dists/rayleigh/mgf/README.md   | 21 +++++++++++---
 .../mgf/benchmark/benchmark.native.js         |  6 ++--
 .../rayleigh/mgf/benchmark/c/benchmark.c      |  8 +++---
 .../dists/rayleigh/mgf/examples/c/example.c   |  7 +++--
 .../stdlib/stats/base/dists/rayleigh/mgf.h    |  2 +-
 .../base/dists/rayleigh/mgf/lib/native.js     |  1 +
 .../stats/base/dists/rayleigh/mgf/src/main.c  | 28 +++----------------
 7 files changed, 34 insertions(+), 39 deletions(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/README.md b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/README.md
index 7af1cfa32656..582c889264f6 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/README.md
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/README.md
@@ -172,7 +172,7 @@ for ( i = 0; i < 10; i++ ) {
 
 #### stdlib_base_dists_rayleigh_mgf( t, sigma )
 
-Evaluates the mgf for a Rayleigh distribution.
+Evaluates the [moment-generating function][mgf] for a [Rayleigh][rayleigh-distribution] distribution with scale parameter `sigma`.
 
 ```c
 double out = stdlib_base_dists_rayleigh_mgf( 1.0, 3.0  );
@@ -181,6 +181,7 @@ double out = stdlib_base_dists_rayleigh_mgf( 1.0, 3.0  );
 
 The function accepts the following arguments:
 
+-   **t**: `[in] double` input value.
 -   **sigma**: `[in] double` scale parameter.
 
 ```c
@@ -188,32 +189,44 @@ double stdlib_base_dists_rayleigh_mgf( const double t, 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/rayleigh/mgf.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 t;
     double y;
     int i;
+
     for ( i = 0; i < 25; i++ ) {
-        t = random_uniform( 0.0, 10.0 );
-        sigma = random_uniform( 0.0, 10.0 );
+        t = random_uniform( 0.0, 1.0 );
+        sigma = random_uniform( 0.1, 5.0 );
         y = stdlib_base_dists_rayleigh_mgf( t, sigma );
-        printf( "t: %lf, σ: %lf, f(x;σ): %lf\n", t, sigma, y );
+        printf( "t: %lf, σ: %lf, M_X(t;σ): %lf\n", t, sigma, y );
     }
 }
 ```
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.native.js
index 28e0fff36d19..21a3645489c1 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.native.js
@@ -23,7 +23,7 @@
 var resolve = require( 'path' ).resolve;
 var bench = require( '@stdlib/bench' );
 var Float64Array = require( '@stdlib/array/float64' );
-var randu = require( '@stdlib/random/base/randu' );
+var uniform = require( '@stdlib/random/base/uniform' );
 var EPS = require( '@stdlib/constants/float64/eps' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
 var tryRequire = require( '@stdlib/utils/try-require' );
@@ -51,8 +51,8 @@ bench( pkg+'::native', opts, function benchmark( b ) {
 	sigma = new Float64Array( len );
 	t = new Float64Array( len );
 	for ( i = 0; i < len; i++ ) {
-		sigma[ i ] = ( randu()*20.0 ) + EPS;
-		t[ i ] = ( randu()*20.0 ) + EPS;
+		t[ i ] = uniform( 0.0, 1.0 );
+		sigma[ i ] = uniform( EPS, 5.0 );
 	}
 
 	b.tic();
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/benchmark.c
index 6331728aaa6c..93b215b5d997 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/benchmark.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/c/benchmark.c
@@ -95,19 +95,19 @@ static double random_uniform( const double min, const double max ) {
 static double benchmark( void ) {
 	double elapsed;
 	double sigma[ 100 ];
-	double x[ 100 ];
+	double t_vals[ 100 ];
 	double y;
 	double t;
 	int i;
 
 	for ( i = 0; i < 100; i++ ) {
-		sigma[ i ] = random_uniform( 0.0, 20.0 ) + STDLIB_CONSTANT_FLOAT64_EPS;
-		x[ i ] = random_uniform( 0.0, 20.0 ) + STDLIB_CONSTANT_FLOAT64_EPS;
+		t_vals[ i ] = random_uniform( 0.0, 1.0 );
+		sigma[ i ] = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 5.0 );
 	}
 
 	t = tic();
 	for ( i = 0; i < ITERATIONS; i++ ) {
-		y = stdlib_base_dists_rayleigh_mgf( x[ i%100 ], sigma[ i%100 ] );
+		y = stdlib_base_dists_rayleigh_mgf( t_vals[ i%100 ], sigma[ i%100 ] );
 		if ( y != y ) {
 			printf( "should not return NaN\n" );
 			break;
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/example.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/example.c
index 0b8912a83ac4..c661de2c25f7 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/example.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/examples/c/example.c
@@ -30,10 +30,11 @@ int main( void ) {
 	double t;
 	double y;
 	int i;
+
 	for ( i = 0; i < 25; i++ ) {
-		sigma = random_uniform( 0 , 10.0 );
-		t = random_uniform( 0 , 10.0 );
+		t = random_uniform( 0.0, 1.0 );
+		sigma = random_uniform( 0.1, 5.0 );
 		y = stdlib_base_dists_rayleigh_mgf( t, sigma );
-		printf( "t: %lf, σ: %lf, mgf(X;t,Y;σ): %lf\n", t, sigma, y );
+		printf( "t: %lf, σ: %lf, M_X(t;σ): %lf\n", t, sigma, y );
 	}
 }
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include/stdlib/stats/base/dists/rayleigh/mgf.h b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include/stdlib/stats/base/dists/rayleigh/mgf.h
index 17eee436203a..f0bbcd636d11 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include/stdlib/stats/base/dists/rayleigh/mgf.h
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/include/stdlib/stats/base/dists/rayleigh/mgf.h
@@ -27,7 +27,7 @@ extern "C" {
 #endif
 
 /**
-* Returns the mgf for a Rayleigh distribution.
+* Evaluates the moment-generating function (MGF) for a Rayleigh distribution.
 */
 double stdlib_base_dists_rayleigh_mgf( const double t, const double sigma );
 
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/lib/native.js b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/lib/native.js
index 067d0023cd75..59774f4acd5b 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/lib/native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/lib/native.js
@@ -28,6 +28,7 @@ var addon = require( './../src/addon.node' );
 /**
 * Evaluates the moment-generating function (MGF) for a Rayleigh distribution with scale parameter `sigma` at a value `t`.
 *
+* @private
 * @param {number} t - input value
 * @param {NonNegativeNumber} sigma - scale parameter
 * @returns {number} evaluated MGF
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
index c998e38f278c..11abb9e7d6f4 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
@@ -29,33 +29,13 @@
 /**
 * Evaluates the moment-generating function (MGF) for a Rayleigh distribution with scale parameter `sigma` at a value `t`.
 *
-* @param {number} t - input value
-* @param {NonNegativeNumber} sigma - scale parameter
-* @returns {number} evaluated MGF
+* @param t     input value
+* @param sigma scale parameter
+* @return      evaluated MGF
 *
 * @example
-* double y = mgf( 1.0, 3.0 );
+* double y = stdlib_base_dists_rayleigh_mgf( 1.0, 3.0 );
 * // returns ~678.508
-*
-* @example
-* double y = stdlib_base_dists_rayleigh_mgf( 1.0, 2.0 );
-* // returns ~38.65
-*
-* @example
-* double y = stdlib_base_dists_rayleigh_mgf( -1.0, 4.0 );
-* // returns ~-0.947
-*
-* @example
-* double y = stdlib_base_dists_rayleigh_mgf( NaN, 1.0 );
-* // returns NaN
-*
-* @example
-* double y = stdlib_base_dists_rayleigh_mgf( 0.0, NaN );
-* // returns NaN
-*
-* @example
-* double y = stdlib_base_dists_rayleigh_mgf( 0.5, -1.0 );
-* // returns NaN
 */
 double stdlib_base_dists_rayleigh_mgf( const double t, const double sigma ) {
 	double sigmat;

From adc427ba6817018f17b644ef85ce63f77919780e Mon Sep 17 00:00:00 2001
From: Philipp Burckhardt <pburckhardt@outlook.com>
Date: Mon, 23 Jun 2025 08:42:35 -0500
Subject: [PATCH 4/5] style: fix indentation in Rayleigh MGF C implementation

---
type: pre_push_report
description: Results of running various checks prior to pushing changes.
report:
---

---
type: pre_push_report
description: Results of running various checks prior to pushing changes.
report:
  - task: run_javascript_examples
    status: na
  - task: run_c_examples
    status: na
  - task: run_cpp_examples
    status: na
  - task: run_javascript_readme_examples
    status: na
  - task: run_c_benchmarks
    status: na
  - task: run_cpp_benchmarks
    status: na
  - task: run_fortran_benchmarks
    status: na
  - task: run_javascript_benchmarks
    status: passed
  - task: run_julia_benchmarks
    status: na
  - task: run_python_benchmarks
    status: na
  - task: run_r_benchmarks
    status: na
  - task: run_javascript_tests
    status: na
---

---
type: pre_push_report
description: Results of running various checks prior to pushing changes.
report:
  - task: run_javascript_examples
    status: na
  - task: run_c_examples
    status: na
  - task: run_cpp_examples
    status: na
  - task: run_javascript_readme_examples
    status: na
  - task: run_c_benchmarks
    status: na
  - task: run_cpp_benchmarks
    status: na
  - task: run_fortran_benchmarks
    status: na
  - task: run_javascript_benchmarks
    status: passed
  - task: run_julia_benchmarks
    status: na
  - task: run_python_benchmarks
    status: na
  - task: run_r_benchmarks
    status: na
  - task: run_javascript_tests
    status: na
---

---
type: pre_push_report
description: Results of running various checks prior to pushing changes.
report:
  - task: run_javascript_examples
    status: na
  - task: run_c_examples
    status: na
  - task: run_cpp_examples
    status: na
  - task: run_javascript_readme_examples
    status: na
  - task: run_c_benchmarks
    status: na
  - task: run_cpp_benchmarks
    status: na
  - task: run_fortran_benchmarks
    status: na
  - task: run_javascript_benchmarks
    status: passed
  - task: run_julia_benchmarks
    status: na
  - task: run_python_benchmarks
    status: na
  - task: run_r_benchmarks
    status: na
  - task: run_javascript_tests
    status: na
---

---
type: pre_push_report
description: Results of running various checks prior to pushing changes.
report:
  - task: run_javascript_examples
    status: na
  - task: run_c_examples
    status: na
  - task: run_cpp_examples
    status: na
  - task: run_javascript_readme_examples
    status: na
  - task: run_c_benchmarks
    status: na
  - task: run_cpp_benchmarks
    status: na
  - task: run_fortran_benchmarks
    status: na
  - task: run_javascript_benchmarks
    status: passed
  - task: run_julia_benchmarks
    status: na
  - task: run_python_benchmarks
    status: na
  - task: run_r_benchmarks
    status: na
  - task: run_javascript_tests
    status: na
---

---
type: pre_push_report
description: Results of running various checks prior to pushing changes.
report:
  - task: run_javascript_examples
    status: na
  - task: run_c_examples
    status: na
  - task: run_cpp_examples
    status: na
  - task: run_javascript_readme_examples
    status: na
  - task: run_c_benchmarks
    status: na
  - task: run_cpp_benchmarks
    status: na
  - task: run_fortran_benchmarks
    status: na
  - task: run_javascript_benchmarks
    status: passed
  - task: run_julia_benchmarks
    status: na
  - task: run_python_benchmarks
    status: na
  - task: run_r_benchmarks
    status: na
  - task: run_javascript_tests
    status: na
---
---
 .../base/dists/rayleigh/mgf/benchmark/benchmark.js    | 11 +++++------
 .../@stdlib/stats/base/dists/rayleigh/mgf/src/main.c  |  7 +++----
 2 files changed, 8 insertions(+), 10 deletions(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.js
index 230e0e067d03..10c4c15dd380 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/benchmark/benchmark.js
@@ -22,7 +22,7 @@
 
 var bench = require( '@stdlib/bench' );
 var Float64Array = require( '@stdlib/array/float64' );
-var randu = require( '@stdlib/random/base/randu' );
+var uniform = require( '@stdlib/random/base/uniform' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
 var EPS = require( '@stdlib/constants/float64/eps' );
 var pkg = require( './../package.json' ).name;
@@ -35,7 +35,6 @@ bench( pkg, function benchmark( b ) {
 	var sigma;
 	var len;
 	var t;
-	var x;
 	var y;
 	var i;
 
@@ -43,13 +42,13 @@ bench( pkg, function benchmark( b ) {
 	sigma = new Float64Array( len );
 	t = new Float64Array( len );
 	for ( i = 0; i < len; i++ ) {
-		sigma[ i ] = ( randu()*20.0 ) + EPS;
-		t[ i ] = ( randu()*20.0 ) + EPS;
+		t[ i ] = uniform( 0.0, 1.0 );
+		sigma[ i ] = uniform( EPS, 5.0 );
 	}
 
 	b.tic();
 	for ( i = 0; i < b.iterations; i++ ) {
-		y = mgf( x[ i % len ], sigma[ i % len ] );
+		y = mgf( t[ i % len ], sigma[ i % len ] );
 		if ( isnan( y ) ) {
 			b.fail( 'should not return NaN' );
 		}
@@ -74,7 +73,7 @@ bench( pkg+':factory', function benchmark( b ) {
 
 	b.tic();
 	for ( i = 0; i < b.iterations; i++ ) {
-		x = ( randu()*5.0 ) - 5.0;
+		x = uniform( -2.5, 2.5 );
 		y = mymgf( x );
 		if ( isnan( y ) ) {
 			b.fail( 'should not return NaN' );
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
index 11abb9e7d6f4..ccd5294828f4 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
@@ -20,9 +20,8 @@
 #include "stdlib/math/base/assert/is_nan.h"
 #include "stdlib/math/base/special/exp.h"
 #include "stdlib/math/base/special/erf.h"
-
-#define STDLIB_CONSTANT_FLOAT64_SQRT_HALF_PI 1.2533141373155002512
-#define STDLIB_CONSTANT_FLOAT64_SQRT2 1.4142135623730950488
+#include "stdlib/constants/float64/sqrt_half_pi.h"
+#include "stdlib/constants/float64/sqrt_two.h"
 
 // MAIN //
 
@@ -49,6 +48,6 @@ double stdlib_base_dists_rayleigh_mgf( const double t, const double sigma ) {
 	}
 	sigmat = t * sigma;
 	out = 1.0 + (sigmat * stdlib_base_exp( sigmat*sigmat / 2.0 ));
- 	out *= STDLIB_CONSTANT_FLOAT64_SQRT_HALF_PI * ( stdlib_base_erf( sigmat / STDLIB_CONSTANT_FLOAT64_SQRT2 ) + 1.0 );
+	out *= STDLIB_CONSTANT_FLOAT64_SQRT_HALF_PI * ( stdlib_base_erf( sigmat / STDLIB_CONSTANT_FLOAT64_SQRT2 ) + 1.0 );
 	return out;
 }

From a6040c77345023eef4da19ba3deb748b4e5a02be Mon Sep 17 00:00:00 2001
From: Philipp Burckhardt <pburckhardt@outlook.com>
Date: Mon, 23 Jun 2025 09:07:19 -0500
Subject: [PATCH 5/5] chore: minor clean-up

Signed-off-by: Philipp Burckhardt <pburckhardt@outlook.com>
---
 .../@stdlib/stats/base/dists/rayleigh/mgf/manifest.json         | 1 +
 .../@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c           | 1 -
 .../@stdlib/stats/base/dists/rayleigh/mgf/src/main.c            | 2 --
 3 files changed, 1 insertion(+), 3 deletions(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/manifest.json b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/manifest.json
index 20cf4ad04e5f..d2acff2f4f29 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/manifest.json
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/manifest.json
@@ -38,6 +38,7 @@
       "libraries": [],
       "libpath": [],
       "dependencies": [
+        "@stdlib/math/base/napi/binary",
         "@stdlib/math/base/assert/is-nan",
         "@stdlib/math/base/special/exp",
         "@stdlib/math/base/special/erf",
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c
index 6796b4160e71..635b8b9b9c3c 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/addon.c
@@ -19,5 +19,4 @@
 #include "stdlib/stats/base/dists/rayleigh/mgf.h"
 #include "stdlib/math/base/napi/binary.h"
 
-// cppcheck-suppress shadowFunction
 STDLIB_MATH_BASE_NAPI_MODULE_DD_D( stdlib_base_dists_rayleigh_mgf )
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
index ccd5294828f4..fe01e89e02e1 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/mgf/src/main.c
@@ -23,8 +23,6 @@
 #include "stdlib/constants/float64/sqrt_half_pi.h"
 #include "stdlib/constants/float64/sqrt_two.h"
 
-// MAIN //
-
 /**
 * Evaluates the moment-generating function (MGF) for a Rayleigh distribution with scale parameter `sigma` at a value `t`.
 *