From 8525e7c432bdf27450abb4f0653c0354689518bc Mon Sep 17 00:00:00 2001
From: Gururaj Gurram <gururajgurram1512@gmail.com>
Date: Sun, 15 Dec 2024 23:55:38 +0530
Subject: [PATCH 1/5] feat: add C implementation for
 stats/base/dists/pareto-type1/mode

---
 .../base/dists/pareto-type1/mode/README.md    |  95 ++++++++++
 .../pareto-type1/mode/benchmark/benchmark.js  |  14 +-
 .../mode/benchmark/benchmark.native.js        |  71 ++++++++
 .../pareto-type1/mode/benchmark/c/Makefile    | 146 +++++++++++++++
 .../pareto-type1/mode/benchmark/c/benchmark.c | 140 +++++++++++++++
 .../base/dists/pareto-type1/mode/binding.gyp  | 170 ++++++++++++++++++
 .../pareto-type1/mode/examples/c/Makefile     | 146 +++++++++++++++
 .../pareto-type1/mode/examples/c/example.c    |  40 +++++
 .../base/dists/pareto-type1/mode/include.gypi |  53 ++++++
 .../stats/base/dists/pareto-type1/mode.h      |  38 ++++
 .../dists/pareto-type1/mode/lib/native.js     |  70 ++++++++
 .../dists/pareto-type1/mode/manifest.json     |  76 ++++++++
 .../base/dists/pareto-type1/mode/package.json |   3 +
 .../base/dists/pareto-type1/mode/src/Makefile |  70 ++++++++
 .../base/dists/pareto-type1/mode/src/addon.c  |  23 +++
 .../base/dists/pareto-type1/mode/src/main.c   |  43 +++++
 .../pareto-type1/mode/test/test.native.js     | 129 +++++++++++++
 17 files changed, 1324 insertions(+), 3 deletions(-)
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.native.js
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/c/Makefile
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/c/benchmark.c
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/binding.gyp
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/examples/c/Makefile
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/examples/c/example.c
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/include.gypi
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/include/stdlib/stats/base/dists/pareto-type1/mode.h
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/lib/native.js
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/manifest.json
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/Makefile
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/addon.c
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/main.c
 create mode 100644 lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/test/test.native.js

diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/README.md b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/README.md
index 105712ca0bd3..01993d7f1e4b 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/README.md
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/README.md
@@ -142,6 +142,101 @@ 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/pareto-type1/mode.h"
+```
+
+#### stdlib_base_dists_pareto_type1_mode( alpha, beta )
+
+Returns the mode of a Pareto (Type I) distribution.
+
+```c
+double out = stdlib_base_dists_pareto_type1_mode( 2.0, 1.0 );
+// returns 1.0
+```
+
+The function accepts the following arguments:
+
+-   **alpha**: `[in] double` shape parameter.
+-   **beta**: `[in] double` scale parameter.
+
+```c
+double stdlib_base_dists_pareto_type1_mode( const double alpha, const double beta );
+```
+
+</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/pareto-type1/mode.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 alpha;
+    double beta;
+    double y;
+    int i;
+
+    for ( i = 0; i < 25; i++ ) {
+        alpha = random_uniform( 0, 10 );
+        beta = random_uniform( 0, 10 );
+        y = stdlib_base_dists_pareto_type1_mode( alpha, beta );
+        printf( "α: %lf, β: %lf, mode(X;α,β): %lf\n", alpha, beta, 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/pareto-type1/mode/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.js
index 321ec08e6201..5b40c9d9f6cf 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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' );
@@ -33,14 +34,21 @@ var mode = require( './../lib' );
 bench( pkg, function benchmark( b ) {
 	var alpha;
 	var beta;
+	var len;
 	var y;
 	var i;
 
+	len = 100;
+	alpha = new Float64Array( len );
+	beta = new Float64Array( len );
+	for ( i = 0; i < len; i++ ) {
+		alpha[ i ] = ( randu() * 10.0 ) + EPS;
+		beta[ i ] = ( randu() * 10.0 ) + EPS;
+	}
+
 	b.tic();
 	for ( i = 0; i < b.iterations; i++ ) {
-		alpha = ( randu()*10.0 ) + EPS;
-		beta = ( randu()*10.0 ) + EPS;
-		y = mode( alpha, beta );
+		y = mode( alpha[ i % len ], beta[ i % len ] );
 		if ( isnan( y ) ) {
 			b.fail( 'should not return NaN' );
 		}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..d915e5302636
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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 tryRequire = require( '@stdlib/utils/try-require' );
+var randu = require( '@stdlib/random/base/randu' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var mode = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( mode instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+	var alpha;
+	var beta;
+	var len;
+	var y;
+	var i;
+
+	len = 100;
+	alpha = new Float64Array( len );
+	beta = new Float64Array( len );
+	for ( i = 0; i < len; i++ ) {
+		alpha[ i ] = ( randu() * 10.0 ) + EPS;
+		beta[ i ] = ( randu() * 10.0 ) + EPS;
+	}
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = mode( alpha[ i % len ], beta[ 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/pareto-type1/mode/benchmark/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/c/Makefile
new file mode 100644
index 000000000000..f69e9da2b4d3
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..88c522aa7c95
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/c/benchmark.c
@@ -0,0 +1,140 @@
+/**
+* @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/pareto-type1/mode.h"
+#include <stdlib.h>
+#include <stdio.h>
+#include <math.h>
+#include <time.h>
+#include <sys/time.h>
+
+#define NAME "pareto-type1-mode"
+#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 alpha[ 100 ];
+	double beta[ 100 ];
+	double y;
+	double t;
+	int i;
+
+	for ( i = 0; i < 100; i++ ) {
+		alpha[ i ] = random_uniform( 0.0, 10.0 );
+		beta[ i ] = random_uniform( 0.0, 10.0 );
+	}
+
+	t = tic();
+	for ( i = 0; i < ITERATIONS; i++ ) {
+		y = stdlib_base_dists_pareto_type1_mode( alpha[ i % 100 ], beta[ 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/pareto-type1/mode/binding.gyp b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/binding.gyp
new file mode 100644
index 000000000000..ec3992233442
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/examples/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/examples/c/Makefile
new file mode 100644
index 000000000000..6aed70daf167
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/examples/c/example.c b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/examples/c/example.c
new file mode 100644
index 000000000000..8f402defce64
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/examples/c/example.c
@@ -0,0 +1,40 @@
+/**
+* @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/pareto-type1/mode.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 alpha;
+	double beta;
+	double y;
+	int i;
+
+	for ( i = 0; i < 25; i++ ) {
+		alpha = random_uniform( 0, 10 );
+		beta = random_uniform( 0, 10 );
+		y = stdlib_base_dists_pareto_type1_mode( alpha, beta );
+		printf( "α: %lf, β: %lf, mode(X;α,β): %lf\n", alpha, beta, y );
+	}
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/include.gypi b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/include.gypi
new file mode 100644
index 000000000000..575cb043c0bf
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/include/stdlib/stats/base/dists/pareto-type1/mode.h b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/include/stdlib/stats/base/dists/pareto-type1/mode.h
new file mode 100644
index 000000000000..ba21b2babf92
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/include/stdlib/stats/base/dists/pareto-type1/mode.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_PARETO_TYPE1_MODE_H
+#define STDLIB_STATS_BASE_DISTS_PARETO_TYPE1_MODE_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 mode of a Pareto (Type I) distribution.
+*/
+double stdlib_base_dists_pareto_type1_mode( const double alpha, const double beta );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif // !STDLIB_STATS_BASE_DISTS_PARETO_TYPE1_MODE_H
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/lib/native.js b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/lib/native.js
new file mode 100644
index 000000000000..4a0490ae1e79
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/lib/native.js
@@ -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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var addon = require( './../src/addon.node' );
+
+
+// MAIN //
+
+/**
+* Returns the mode of a Pareto (Type I) distribution.
+*
+* @param {PositiveNumber} alpha - shape parameter
+* @param {PositiveNumber} beta - scale parameter
+* @returns {PositiveNumber} mode
+*
+* @example
+* var v = mode( 1.0, 1.0 );
+* // returns 1.0
+*
+* @example
+* var v = mode( 4.0, 12.0 );
+* // returns 12.0
+*
+* @example
+* var v = mode( 8.0, 2.0 );
+* // returns 2.0
+*
+* @example
+* var v = mode( 1.0, -0.1 );
+* // returns NaN
+*
+* @example
+* var v = mode( -0.1, 1.0 );
+* // returns NaN
+*
+* @example
+* var v = mode( 2.0, NaN );
+* // returns NaN
+*
+* @example
+* var v = mode( NaN, 2.0 );
+* // returns NaN
+*/
+function mode( alpha, beta ) {
+	return addon( alpha, beta );
+}
+
+
+// EXPORTS //
+
+module.exports = mode;
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/manifest.json b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/manifest.json
new file mode 100644
index 000000000000..db80b71a4aa4
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/manifest.json
@@ -0,0 +1,76 @@
+{
+  "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/napi/binary",
+        "@stdlib/math/base/assert/is-nan"
+      ]
+    },
+    {
+      "task": "benchmark",
+      "wasm": false,
+      "src": [
+        "./src/main.c"
+      ],
+      "include": [
+        "./include"
+      ],
+      "libraries": [],
+      "libpath": [],
+      "dependencies": [
+        "@stdlib/math/base/assert/is-nan"
+      ]
+    },
+    {
+      "task": "examples",
+      "wasm": false,
+      "src": [
+        "./src/main.c"
+      ],
+      "include": [
+        "./include"
+      ],
+      "libraries": [],
+      "libpath": [],
+      "dependencies": [
+        "@stdlib/math/base/assert/is-nan"
+      ]
+    }
+  ]
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/package.json b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/package.json
index 7442cba38638..c15f77a83539 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/package.json
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/src/Makefile b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/Makefile
new file mode 100644
index 000000000000..bcf18aa46655
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/src/addon.c b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/addon.c
new file mode 100644
index 000000000000..eedad484cc75
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode.h"
+#include "stdlib/math/base/napi/binary.h"
+
+// cppcheck-suppress shadowFunction
+STDLIB_MATH_BASE_NAPI_MODULE_DD_D( stdlib_base_dists_pareto_type1_mode )
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/main.c
new file mode 100644
index 000000000000..52aadd987140
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/main.c
@@ -0,0 +1,43 @@
+/**
+* @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/pareto-type1/mode.h"
+#include "stdlib/math/base/assert/is_nan.h"
+
+/**
+* Returns the mode of a Pareto (Type I) distribution.
+*
+* @param alpha    shape parameter
+* @param beta     scale parameter
+* @return         mode
+*
+* @example
+* double y = stdlib_base_dists_pareto_type1_mode( 2.0, 1.0 );
+* // returns 1.0
+*/
+double stdlib_base_dists_pareto_type1_mode( const double alpha, const double beta ) {
+	if (
+		stdlib_base_is_nan( alpha ) ||
+		alpha <= 0.0 ||
+		stdlib_base_is_nan( beta ) ||
+		beta <= 0.0
+	) {
+		return 0.0 / 0.0; // NaN
+	}
+	return beta;
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/test/test.native.js
new file mode 100644
index 000000000000..86b9638fff52
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/test/test.native.js
@@ -0,0 +1,129 @@
+/**
+* @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 abs = require( '@stdlib/math/base/special/abs' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var PINF = require( '@stdlib/constants/float64/pinf' );
+var NINF = require( '@stdlib/constants/float64/ninf' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+
+
+// VARIABLES //
+
+var mode = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( mode instanceof Error )
+};
+
+
+// FIXTURES //
+
+var data = require( './fixtures/julia/data.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof mode, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'if provided `NaN` for any parameter, the function returns `NaN`', opts, function test( t ) {
+	var v = mode( NaN, 0.5 );
+	t.equal( isnan( v ), true, 'returns NaN' );
+
+	v = mode( 10.0, NaN );
+	t.equal( isnan( v ), true, 'returns NaN' );
+
+	t.end();
+});
+
+tape( 'if provided `alpha <= 0`, the function returns `NaN`', opts, function test( t ) {
+	var y;
+
+	y = mode( -1.0, 2.0 );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	y = mode( NINF, 1.0 );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	y = mode( NINF, PINF );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	y = mode( NINF, NINF );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	y = mode( NINF, NaN );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	t.end();
+});
+
+tape( 'if provided `beta <= 0`, the function returns `NaN`', opts, function test( t ) {
+	var y;
+
+	y = mode( 2.0, -1.0 );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	y = mode( 1.0, NINF );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	y = mode( PINF, NINF );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	y = mode( NINF, NINF );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	y = mode( NaN, NINF );
+	t.equal( isnan( y ), true, 'returns NaN' );
+
+	t.end();
+});
+
+tape( 'the function returns the mode of a Pareto (Type I) distribution', opts, function test( t ) {
+	var expected;
+	var delta;
+	var alpha;
+	var beta;
+	var tol;
+	var i;
+	var y;
+
+	expected = data.expected;
+	alpha = data.alpha;
+	beta = data.beta;
+	for ( i = 0; i < expected.length; i++ ) {
+		y = mode( alpha[i], beta[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'alpha: '+alpha[i]+', beta: '+beta[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. alpha: '+alpha[i]+'. beta: '+beta[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});

From 762e67b8c231e4c8513a432e70cd2042a0326357 Mon Sep 17 00:00:00 2001
From: Gururaj Gurram <gururajgurram1512@gmail.com>
Date: Mon, 16 Dec 2024 23:59:37 +0530
Subject: [PATCH 2/5] refactor: pareto-type1-mode

---
 .../@stdlib/stats/base/dists/pareto-type1/mode/README.md      | 4 ++--
 .../stats/base/dists/pareto-type1/mode/examples/c/example.c   | 4 ++--
 .../@stdlib/stats/base/dists/pareto-type1/mode/lib/native.js  | 1 +
 3 files changed, 5 insertions(+), 4 deletions(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/README.md b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/README.md
index 01993d7f1e4b..aa3404b08b32 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/README.md
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/README.md
@@ -221,8 +221,8 @@ int main( void ) {
     int i;
 
     for ( i = 0; i < 25; i++ ) {
-        alpha = random_uniform( 0, 10 );
-        beta = random_uniform( 0, 10 );
+        alpha = random_uniform( 0.0, 10.0 );
+        beta = random_uniform( 0.0, 10.0 );
         y = stdlib_base_dists_pareto_type1_mode( alpha, beta );
         printf( "α: %lf, β: %lf, mode(X;α,β): %lf\n", alpha, beta, y );
     }
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/examples/c/example.c b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/examples/c/example.c
index 8f402defce64..c57580453dd9 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/examples/c/example.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/examples/c/example.c
@@ -32,8 +32,8 @@ int main( void ) {
 	int i;
 
 	for ( i = 0; i < 25; i++ ) {
-		alpha = random_uniform( 0, 10 );
-		beta = random_uniform( 0, 10 );
+		alpha = random_uniform( 0.0, 10.0 );
+		beta = random_uniform( 0.0, 10.0 );
 		y = stdlib_base_dists_pareto_type1_mode( alpha, beta );
 		printf( "α: %lf, β: %lf, mode(X;α,β): %lf\n", alpha, beta, y );
 	}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/lib/native.js b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/lib/native.js
index 4a0490ae1e79..b534186eeed8 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/lib/native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/lib/native.js
@@ -28,6 +28,7 @@ var addon = require( './../src/addon.node' );
 /**
 * Returns the mode of a Pareto (Type I) distribution.
 *
+* @private
 * @param {PositiveNumber} alpha - shape parameter
 * @param {PositiveNumber} beta - scale parameter
 * @returns {PositiveNumber} mode

From e4bc6e5125461d766afca22c528dd35e7dda9d7e Mon Sep 17 00:00:00 2001
From: stdlib-bot <82920195+stdlib-bot@users.noreply.github.com>
Date: Wed, 18 Jun 2025 21:08:38 +0000
Subject: [PATCH 3/5] chore: update copyright years

---
 .../base/dists/pareto-type1/mode/benchmark/benchmark.native.js  | 2 +-
 .../stats/base/dists/pareto-type1/mode/benchmark/c/Makefile     | 2 +-
 .../stats/base/dists/pareto-type1/mode/benchmark/c/benchmark.c  | 2 +-
 .../@stdlib/stats/base/dists/pareto-type1/mode/binding.gyp      | 2 +-
 .../stats/base/dists/pareto-type1/mode/examples/c/Makefile      | 2 +-
 .../stats/base/dists/pareto-type1/mode/examples/c/example.c     | 2 +-
 .../@stdlib/stats/base/dists/pareto-type1/mode/include.gypi     | 2 +-
 .../mode/include/stdlib/stats/base/dists/pareto-type1/mode.h    | 2 +-
 .../@stdlib/stats/base/dists/pareto-type1/mode/lib/native.js    | 2 +-
 .../@stdlib/stats/base/dists/pareto-type1/mode/src/Makefile     | 2 +-
 .../@stdlib/stats/base/dists/pareto-type1/mode/src/addon.c      | 2 +-
 .../@stdlib/stats/base/dists/pareto-type1/mode/src/main.c       | 2 +-
 .../stats/base/dists/pareto-type1/mode/test/test.native.js      | 2 +-
 13 files changed, 13 insertions(+), 13 deletions(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.native.js
index d915e5302636..0e73deb78789 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/benchmark/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/c/Makefile
index f69e9da2b4d3..a4bd7b38fd74 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/c/Makefile
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/c/benchmark.c
index 88c522aa7c95..1724fa9fbac2 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/c/benchmark.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/binding.gyp b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/binding.gyp
index ec3992233442..68a1ca11d160 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/binding.gyp
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/examples/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/examples/c/Makefile
index 6aed70daf167..25ced822f96a 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/examples/c/Makefile
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/examples/c/example.c b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/examples/c/example.c
index c57580453dd9..02fe38615aa1 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/examples/c/example.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/include.gypi b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/include.gypi
index 575cb043c0bf..ecfaf82a3279 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/include.gypi
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/include/stdlib/stats/base/dists/pareto-type1/mode.h b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/include/stdlib/stats/base/dists/pareto-type1/mode.h
index ba21b2babf92..2148caae2352 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/include/stdlib/stats/base/dists/pareto-type1/mode.h
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/include/stdlib/stats/base/dists/pareto-type1/mode.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/pareto-type1/mode/lib/native.js b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/lib/native.js
index b534186eeed8..7dfdf45ad35c 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/lib/native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/src/Makefile b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/Makefile
index bcf18aa46655..7733b6180cb4 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/Makefile
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/src/addon.c b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/addon.c
index eedad484cc75..69f9492c4408 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/addon.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/main.c
index 52aadd987140..bbedcac12750 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/main.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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/pareto-type1/mode/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/test/test.native.js
index 86b9638fff52..0d8afd024dc6 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/test/test.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/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 e8bae6bb638fba13683b992b5e26d38629b130ed Mon Sep 17 00:00:00 2001
From: Philipp Burckhardt <pburckhardt@outlook.com>
Date: Wed, 18 Jun 2025 16:13:24 -0500
Subject: [PATCH 4/5] fix: remove cppcheck suppress, update benchmarks, fix
 README

---
 .../stats/base/dists/pareto-type1/mode/README.md      |  4 ++--
 .../dists/pareto-type1/mode/benchmark/benchmark.js    | 11 +++--------
 .../pareto-type1/mode/benchmark/benchmark.native.js   | 11 +++--------
 .../stats/base/dists/pareto-type1/mode/src/addon.c    |  1 -
 4 files changed, 8 insertions(+), 19 deletions(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/README.md b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/README.md
index aa3404b08b32..6d7eea7e59db 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/README.md
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/README.md
@@ -221,8 +221,8 @@ int main( void ) {
     int i;
 
     for ( i = 0; i < 25; i++ ) {
-        alpha = random_uniform( 0.0, 10.0 );
-        beta = random_uniform( 0.0, 10.0 );
+        alpha = random_uniform( 0.1, 10.0 );
+        beta = random_uniform( 0.1, 10.0 );
         y = stdlib_base_dists_pareto_type1_mode( alpha, beta );
         printf( "α: %lf, β: %lf, mode(X;α,β): %lf\n", alpha, beta, y );
     }
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.js
index 0da37019aec7..554f232da8ac 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.js
@@ -21,8 +21,7 @@
 // MODULES //
 
 var bench = require( '@stdlib/bench' );
-var Float64Array = require( '@stdlib/array/float64' );
-var uniform = require( '@stdlib/random/base/uniform' );
+var uniform = require( '@stdlib/random/array/uniform' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
 var EPS = require( '@stdlib/constants/float64/eps' );
 var pkg = require( './../package.json' ).name;
@@ -39,12 +38,8 @@ bench( pkg, function benchmark( b ) {
 	var i;
 
 	len = 100;
-	alpha = new Float64Array( len );
-	beta = new Float64Array( len );
-	for ( i = 0; i < len; i++ ) {
-		alpha[ i ] = uniform( EPS, 10.0 );
-		beta[ i ] = uniform( EPS, 10.0 );
-	}
+	alpha = uniform( len, EPS, 10.0 );
+	beta = uniform( len, EPS, 10.0 );
 
 	b.tic();
 	for ( i = 0; i < b.iterations; i++ ) {
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.native.js
index 0e73deb78789..8cb51575554a 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/benchmark.native.js
@@ -22,9 +22,8 @@
 
 var resolve = require( 'path' ).resolve;
 var bench = require( '@stdlib/bench' );
-var Float64Array = require( '@stdlib/array/float64' );
 var tryRequire = require( '@stdlib/utils/try-require' );
-var randu = require( '@stdlib/random/base/randu' );
+var uniform = require( '@stdlib/random/array/uniform' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
 var EPS = require( '@stdlib/constants/float64/eps' );
 var pkg = require( './../package.json' ).name;
@@ -48,12 +47,8 @@ bench( pkg+'::native', opts, function benchmark( b ) {
 	var i;
 
 	len = 100;
-	alpha = new Float64Array( len );
-	beta = new Float64Array( len );
-	for ( i = 0; i < len; i++ ) {
-		alpha[ i ] = ( randu() * 10.0 ) + EPS;
-		beta[ i ] = ( randu() * 10.0 ) + EPS;
-	}
+	alpha = uniform( len, EPS, 10.0 );
+	beta = uniform( len, EPS, 10.0 );
 
 	b.tic();
 	for ( i = 0; i < b.iterations; i++ ) {
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/addon.c b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/addon.c
index 69f9492c4408..dbe2561c8d14 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/addon.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/src/addon.c
@@ -19,5 +19,4 @@
 #include "stdlib/stats/base/dists/pareto-type1/mode.h"
 #include "stdlib/math/base/napi/binary.h"
 
-// cppcheck-suppress shadowFunction
 STDLIB_MATH_BASE_NAPI_MODULE_DD_D( stdlib_base_dists_pareto_type1_mode )

From 5f8c99695af33d9567ef57227e19faef2848a546 Mon Sep 17 00:00:00 2001
From: Philipp Burckhardt <pburckhardt@outlook.com>
Date: Wed, 18 Jun 2025 16:18:51 -0500
Subject: [PATCH 5/5] bench: update range

Signed-off-by: Philipp Burckhardt <pburckhardt@outlook.com>
---
 .../base/dists/pareto-type1/mode/benchmark/c/benchmark.c      | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/c/benchmark.c
index 1724fa9fbac2..428715dddc4f 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/c/benchmark.c
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/mode/benchmark/c/benchmark.c
@@ -100,8 +100,8 @@ static double benchmark( void ) {
 	int i;
 
 	for ( i = 0; i < 100; i++ ) {
-		alpha[ i ] = random_uniform( 0.0, 10.0 );
-		beta[ i ] = random_uniform( 0.0, 10.0 );
+		alpha[ i ] = random_uniform( 0.1, 10.0 );
+		beta[ i ] = random_uniform( 0.1, 10.0 );
 	}
 
 	t = tic();