feat: add C implementation for number/float16/base/mul

lib/node_modules/@stdlib/number/float16/base/mul/README.md

@@ -82,20 +82,124 @@ v = mul( NaN, NaN );
 <!-- eslint no-undef: "error" -->
 
 ```javascript
-var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var map = require( '@stdlib/array/base/map' );
 var logEachMap = require( '@stdlib/console/log-each-map' );
 var mul = require( '@stdlib/number/float16/base/mul' );
 
-var x = discreteUniform( 100, -50, 50 );
-var y = discreteUniform( 100, -50, 50 );
+// Create an array of random half-precision floating-point numbers:
+var x = map( uniform( 100, -50.0, 50.0 ), toFloat16 );
 
-logEachMap( '%d x %d = %d', x, y, mul );
+// Create an array of random half-precision floating-point numbers:
+var y = map( uniform( 100, -50.0, 50.0 ), toFloat16 );
+
+logEachMap( '%0.4f x %0.4f => %0.4f', x, y, mul);
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- C interface documentation. -->
+
+* * *
+
+<section class="c">
+
+## C APIs
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- C usage documentation. -->
+
+<section class="usage">
+
+### Usage
+
+```c
+#include "stdlib/number/float16/base/mul.h"
+```
+
+#### stdlib_base_float16_mul( x, y )
+
+Multiplies two half-precision floating-point numbers.
+
+```c
+#include "stdlib/number/float16/ctor.h"
+#include <stdint.h>
+
+stdlib_float16_t x = stdlib_float16_from_bits( 51648 ); // => -11.5
+stdlib_float16_t y = stdlib_float16_from_bits( 51648 ); // => -11.5
+stdlib_float16_t out = stdlib_base_float16_mul( x, y );
+```
+
+The function accepts the following arguments:
+
+-   **x**: `[in] stdlib_float16_t` first input value.
+-   **y**: `[in] stdlib_float16_t` second input value.
+
+```c
+stdlib_float16_t stdlib_base_float16_mul( const stdlib_float16_t x, const stdlib_float16_t y );
+```
+
+</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/number/float16/base/mul.h"
+#include "stdlib/number/float16/ctor.h"
+#include "stdlib/number/float32/base/to_float16.h"
+#include <stdint.h>
+#include <stdio.h>
+#include <inttypes.h>
+
+int main( void ) {
+    const float x[] = { 3.14f, -3.14f, 0.0f, 0.0f/0.0f };
+    const float y[] = { 3.14f, -3.14f, -0.0f, 0.0f/0.0f };
+
+    stdlib_float16_t v;
+    stdlib_float16_t w;
+    stdlib_float16_t z;
+    int i;
+    for ( i = 0; i < 4; i++ ) {
+        v = stdlib_base_float32_to_float16( x[ i ] );
+        w = stdlib_base_float32_to_float16( y[ i ] );
+        z = stdlib_base_float16_mul( v[ i ], w[ i ] );
+        printf( "%f x %f = %f\n", v[ i ], w[ i ], z );
+    }
+}
 ```
 
 </section>
 
 <!-- /.examples -->
 
+</section>
+
+<!-- /.c -->
+
 <!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
 
 <section class="related">

lib/node_modules/@stdlib/number/float16/base/mul/benchmark/benchmark.native.js

@@ -0,0 +1,61 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var bench = require( '@stdlib/bench' );
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var mul = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( mul instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = discreteUniform( 100, -100, 100 );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = mul( x[ i%x.length ], 5.0 );
+		if ( isnan( y ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});

lib/node_modules/@stdlib/number/float16/base/mul/benchmark/c/Makefile

@@ -0,0 +1,126 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# 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 C targets:
+c_targets := benchmark.out
+
+
+# RULES #
+
+#/
+# Compiles C source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag indicating whether to generate position independent code (e.g., `-fPIC`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler
+# @param {string} CFLAGS - C compiler flags
+# @param {(string|void)} fPIC - compiler flag indicating whether to generate position independent code
+#/
+$(c_targets): %.out: %.c
+	$(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $< -lm
+
+#/
+# 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