From b769fb82a13c73a72eab899e1547e5a95dbebc14 Mon Sep 17 00:00:00 2001
From: gururaj1512 <gururajgurram1512@gmail.com>
Date: Fri, 30 Jan 2026 02:13:05 +0530
Subject: [PATCH] feat: add `number/float16/base/normalize`

---
 .../number/float16/base/normalize/README.md   | 271 ++++++++++++++++++
 .../base/normalize/benchmark/benchmark.js     |  79 +++++
 .../normalize/benchmark/benchmark.native.js   |  64 +++++
 .../base/normalize/benchmark/c/Makefile       | 146 ++++++++++
 .../base/normalize/benchmark/c/benchmark.c    | 139 +++++++++
 .../number/float16/base/normalize/binding.gyp | 170 +++++++++++
 .../float16/base/normalize/docs/repl.txt      |  80 ++++++
 .../base/normalize/docs/types/index.d.ts      | 124 ++++++++
 .../float16/base/normalize/docs/types/test.ts | 109 +++++++
 .../base/normalize/examples/c/Makefile        | 146 ++++++++++
 .../base/normalize/examples/c/example.c       |  39 +++
 .../float16/base/normalize/examples/index.js  |  41 +++
 .../float16/base/normalize/include.gypi       |  53 ++++
 .../stdlib/number/float16/base/normalize.h    |  41 +++
 .../float16/base/normalize/lib/assign.js      | 119 ++++++++
 .../float16/base/normalize/lib/index.js       |  68 +++++
 .../number/float16/base/normalize/lib/main.js |  67 +++++
 .../float16/base/normalize/lib/native.js      |  75 +++++
 .../float16/base/normalize/manifest.json      |  94 ++++++
 .../float16/base/normalize/package.json       |  75 +++++
 .../float16/base/normalize/src/Makefile       |  70 +++++
 .../number/float16/base/normalize/src/addon.c | 118 ++++++++
 .../number/float16/base/normalize/src/main.c  |  73 +++++
 .../base/normalize/test/test.assign.js        | 184 ++++++++++++
 .../float16/base/normalize/test/test.js       |  40 +++
 .../float16/base/normalize/test/test.main.js  |  97 +++++++
 .../base/normalize/test/test.native.js        | 107 +++++++
 27 files changed, 2689 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/README.md
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/benchmark.native.js
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/c/Makefile
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/c/benchmark.c
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/binding.gyp
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/examples/c/Makefile
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/examples/c/example.c
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/include.gypi
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/include/stdlib/number/float16/base/normalize.h
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/lib/assign.js
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/lib/native.js
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/manifest.json
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/package.json
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/src/Makefile
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/src/addon.c
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/src/main.c
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/test/test.assign.js
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/test/test.js
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/test/test.main.js
 create mode 100644 lib/node_modules/@stdlib/number/float16/base/normalize/test/test.native.js

diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/README.md b/lib/node_modules/@stdlib/number/float16/base/normalize/README.md
new file mode 100644
index 000000000000..cd01e72225a9
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/README.md
@@ -0,0 +1,271 @@
+<!--
+
+@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.
+
+-->
+
+# normalize
+
+> Return a normal number `y` and exponent `exp` satisfying `x = y * 2^exp`.
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var normalize = require( '@stdlib/number/float16/base/normalize' );
+```
+
+#### normalize( x )
+
+Returns a normal number `y` and exponent `exp` satisfying `x = y * 2^exp`.
+
+```javascript
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+
+var out = normalize( toFloat16( 1.401e-6 ) );
+// returns [ 0.00146484375, -10 ]
+```
+
+By default, the function returns `y` and `exp` as a two-element `array`.
+
+```javascript
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var pow = require( '@stdlib/math/base/special/pow' );
+
+var out = normalize( toFloat16( 1.401e-6 ) );
+// returns [ 0.00146484375, -10 ]
+
+var y = out[ 0 ];
+var exp = out[ 1 ];
+
+var bool = ( y*pow(2, exp) === toFloat16(1.401e-6) );
+// returns true
+```
+
+The function expects a finite, non-zero [half-precision floating-point number][ieee754] `x`. If `x == 0`,
+
+```javascript
+var out = normalize( 0.0 );
+// returns [ 0.0, 0 ];
+```
+
+If `x` is either positive or negative `infinity` or `NaN`,
+
+```javascript
+var PINF = require( '@stdlib/constants/float16/pinf' );
+var NINF = require( '@stdlib/constants/float16/ninf' );
+
+var out = normalize( PINF );
+// returns [ Infinity, 0 ]
+
+out = normalize( NINF );
+// returns [ -Infinity, 0 ]
+
+out = normalize( NaN );
+// returns [ NaN, 0 ]
+```
+
+#### normalize( x, out, stride, offset )
+
+Returns a normal number `y` and exponent `exp` satisfying `x = y * 2^exp` and assigns results to a provided output array.
+
+```javascript
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var Float16Array = require( '@stdlib/array/float16' );
+
+var out = new Float16Array( 2 );
+
+var v = normalize.assign( toFloat16( 1.401e-6 ), out, 1, 0 );
+// returns <Float16Array>[ 0.00146484375, -10 ]
+
+var bool = ( v === out );
+// returns true
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   While the function accepts higher precision [floating-point numbers][ieee754], beware that providing such numbers can be a source of subtle bugs as the relation `x = y * 2^exp` may **not** hold.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var randu = require( '@stdlib/random/base/randu' );
+var round = require( '@stdlib/math/base/special/round' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var normalize = require( '@stdlib/number/float16/base/normalize' );
+
+var frac;
+var exp;
+var x;
+var v;
+var i;
+
+// Generate denormalized half-precision floating-point numbers and then normalize them...
+for ( i = 0; i < 100; i++ ) {
+    frac = 0.26 + (randu()*10.0);
+    exp = 5 + round( randu()*4.0 );
+    x = frac * pow( 10.0, -exp );
+    x = toFloat16( x );
+    v = normalize( x );
+    console.log( '%d = %d * 2^%d = %d', x, v[0], v[1], v[0]*pow(2.0, v[1]) );
+}
+```
+
+</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/normalize.h"
+```
+
+#### stdlib_base_float16_normalize( x, \*y, \*exp )
+
+Returns a normal number `y` and exponent `exp` satisfying `x = y * 2^exp`.
+
+```c
+#include "stdlib/number/float16/ctor.h"
+#include <stdint.h>
+
+stdlib_float16_t x;
+stdlib_float16_t y;
+int16_t exp;
+
+x = stdlib_float16_from_bits( 51648 ); // => -11.5
+
+stdlib_base_float16_normalize( x, &y, &exp );
+```
+
+The function accepts the following arguments:
+
+-   **x**: `[in] stdlib_float16_t` input value.
+-   **y**: `[out] stdlib_float16_t*` destination for normal number.
+-   **exp**: `[out] int16_t*` destination for exponent.
+
+```c
+void stdlib_base_float16_normalize( const stdlib_float16_t x, stdlib_float16_t *y, int16_t *exp );
+```
+
+</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/ctor.h"
+#include "stdlib/number/float16/base/normalize.h"
+#include "stdlib/number/float32/base/to_float16.h"
+#include "stdlib/number/float16/base/to_float32.h"
+#include <stdint.h>
+#include <inttypes.h>
+#include <stdio.h>
+
+int main( void ) {
+    float x[] = { 4.0f, 0.0f, -0.0f, 1.0f, -1.0f, 3.14f, -3.14f, 1.0e-6f, -1.0e-6f, 1.0f/0.0f, -1.0f/0.0f, 0.0f/0.0f };
+
+    stdlib_float16_t v;
+    stdlib_float16_t y;
+    int16_t exp;
+    int i;
+    for ( i = 0; i < 12; i++ ) {
+        v = stdlib_base_float32_to_float16( x[ i ] );
+        stdlib_base_float16_normalize( v, &y, &exp );
+        printf( "%f => y: %f, exp: %" PRId16 "\n", v, stdlib_base_float16_to_float32( y ), exp );
+    }
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+</section>
+
+<!-- /.c -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985
+
+<!-- <related-links> -->
+
+<!-- </related-links> -->
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/benchmark.js b/lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/benchmark.js
new file mode 100644
index 000000000000..a14511113904
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/benchmark.js
@@ -0,0 +1,79 @@
+/**
+* @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 bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var map = require( '@stdlib/array/base/map' );
+var naryFunction = require( '@stdlib/utils/nary-function' );
+var isArray = require( '@stdlib/assert/is-array' );
+var pkg = require( './../package.json' ).name;
+var normalize = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = map( uniform( 100, -5.0e4, 5.0e4 ), naryFunction( toFloat16, 1 ) );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = normalize( x[ i%x.length ] );
+		if ( typeof y !== 'object' ) {
+			b.fail( 'should return an array' );
+		}
+	}
+	b.toc();
+	if ( !isArray( y ) ) {
+		b.fail( 'should return an array' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( pkg+':assign', function benchmark( b ) {
+	var out;
+	var x;
+	var y;
+	var i;
+
+	out = [ 0.0, 0.0 ];
+	x = map( uniform( 100, -5.0e4, 5.0e4 ), naryFunction( toFloat16, 1 ) );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = normalize.assign( x[ i%x.length ], out, 1, 0 );
+		if ( typeof y !== 'object' ) {
+			b.fail( 'should return an array' );
+		}
+	}
+	b.toc();
+	if ( !isArray( y ) || y !== out ) {
+		b.fail( 'should return the output array' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..128f5d4e2978
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/benchmark.native.js
@@ -0,0 +1,64 @@
+/**
+* @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 uniform = require( '@stdlib/random/array/uniform' );
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var map = require( '@stdlib/array/base/map' );
+var naryFunction = require( '@stdlib/utils/nary-function' );
+var isFloat16Array = require( '@stdlib/assert/is-float16array' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var normalize = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( normalize instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	x = map( uniform( 100, -5.0e4, 5.0e4 ), naryFunction( toFloat16, 1 ) );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = normalize( x[ i%x.length ] );
+		if ( typeof y !== 'object' ) {
+			b.fail( 'should return an object' );
+		}
+	}
+	b.toc();
+	if ( !isFloat16Array( y ) ) {
+		b.fail( 'should return a Float16Array' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/c/Makefile b/lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/c/Makefile
new file mode 100644
index 000000000000..979768abbcec
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @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 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/number/float16/base/normalize/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..ebef1be61cfb
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/benchmark/c/benchmark.c
@@ -0,0 +1,139 @@
+/**
+* @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.
+*/
+
+#include "stdlib/number/float16/base/normalize.h"
+#include "stdlib/number/float32/base/to_float16.h"
+#include "stdlib/number/float16/ctor.h"
+#include <stdlib.h>
+#include <stdio.h>
+#include <stdint.h>
+#include <math.h>
+#include <time.h>
+#include <sys/time.h>
+
+#define NAME "float16_normalize"
+#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 [0,1).
+*
+* @return random number
+*/
+static float rand_float( void ) {
+	int r = rand();
+	return (float)r / ( (float)RAND_MAX + 1.0f );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+	stdlib_float16_t x[ 100 ];
+	stdlib_float16_t y;
+	double elapsed;
+	int16_t exp;
+	int i;
+
+	srand( time( NULL ) );
+
+	for ( i = 0; i < 100; i++ ) {
+		x[ i ] = stdlib_base_float32_to_float16( ( 200.0f * rand_float() ) - 100.0f );
+	}
+
+	elapsed = tic();
+	for ( i = 0; i < ITERATIONS; i++ ) {
+		stdlib_base_float16_normalize( x[ i%100 ], &y, &exp );
+		if ( y != y || exp < 0 ) {
+			printf( "unexpected results\n" );
+		}
+	}
+	elapsed = tic() - elapsed;
+	if ( y != y || exp < 0 ) {
+		printf( "unexpected results\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::native::%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/number/float16/base/normalize/binding.gyp b/lib/node_modules/@stdlib/number/float16/base/normalize/binding.gyp
new file mode 100644
index 000000000000..0d6508a12e99
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/binding.gyp
@@ -0,0 +1,170 @@
+# @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.
+
+# 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/number/float16/base/normalize/docs/repl.txt b/lib/node_modules/@stdlib/number/float16/base/normalize/docs/repl.txt
new file mode 100644
index 000000000000..f9138d01e8b2
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/docs/repl.txt
@@ -0,0 +1,80 @@
+
+{{alias}}( x )
+    Returns a normal number `y` and exponent `exp` satisfying `x = y * 2^exp` as
+    an array.
+
+    The first element of the returned array corresponds to `y` and the second to
+    `exp`.
+
+    While the function accepts higher precision floating-point numbers, beware
+    that providing such numbers can be a source of subtle bugs as the relation
+    `x = y * 2^exp` may not hold.
+
+    Parameters
+    ----------
+    x: number
+        Half-precision floating-point number.
+
+    Returns
+    -------
+    out: Array<number>
+        An array containing `y` and `exp`.
+
+    Examples
+    --------
+    > var out = {{alias}}( {{alias:@stdlib/number/float64/base/to-float16}}( 1.401e-6 ) )
+    [ 0.00146484375, -10 ]
+    > var y = out[ 0 ];
+    > var exp = out[ 1 ];
+    > var bool = ( y*{{alias:@stdlib/math/base/special/pow}}(2,exp) === {{alias:@stdlib/number/float64/base/to-float16}}(1.401e-6) )
+    true
+
+    // Special cases:
+    > out = {{alias}}( {{alias:@stdlib/constants/float16/pinf}} )
+    [ Infinity, 0 ]
+    > out = {{alias}}( {{alias:@stdlib/constants/float16/ninf}} )
+    [ -Infinity, 0 ]
+    > out = {{alias}}( NaN )
+    [ NaN, 0 ]
+
+
+{{alias}}.assign( x, out, stride, offset )
+    Returns a normal number `y` and exponent `exp` satisfying `x = y * 2^exp` and
+    assigns results to a provided output array.
+
+    The first element of the returned array corresponds to `y` and the second to
+    `exp`.
+
+    While the function accepts higher precision floating-point numbers, beware
+    that providing such numbers can be a source of subtle bugs as the relation
+    `x = y * 2^exp` may not hold.
+
+    Parameters
+    ----------
+    x: number
+        Half-precision floating-point number.
+
+    out: Array|TypedArray|Object
+        Output array.
+
+    stride: integer
+        Output array stride.
+
+    offset: integer
+        Output array index offset.
+
+    Returns
+    -------
+    out: Array|TypedArray|Object
+        An array containing `y` and `exp`.
+
+    Examples
+    --------
+    > out = new {{alias:@stdlib/array/float16}}( 2 );
+    > var v = {{alias}}.assign( {{alias:@stdlib/number/float64/base/to-float16}}( 1.401e-6 ), out, 1, 0 )
+    <Float16Array>[ 0.00146484375, -10.0 ]
+    > bool = ( v === out )
+    true
+
+    See Also
+    --------
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/docs/types/index.d.ts b/lib/node_modules/@stdlib/number/float16/base/normalize/docs/types/index.d.ts
new file mode 100644
index 000000000000..d15b5259beb0
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/docs/types/index.d.ts
@@ -0,0 +1,124 @@
+/*
+* @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.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+import { Collection } from '@stdlib/types/array';
+
+/**
+* Interface describing `normalize`.
+*/
+interface Normalize {
+	/**
+	* Returns a normal number `y` and exponent `exp` satisfying \\(x = y \cdot 2^\mathrm{exp}\\).
+	*
+	* @param x - half-precision floating-point number
+	* @returns output array
+	*
+	* @example
+	* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+	*
+	* var v = normalize( toFloat16( 1.401e-6 ) );
+	* // returns [ 0.00146484375, -10 ]
+	*
+	* @example
+	* var v = normalize( 0.0 );
+	* // returns [ 0.0, 0 ]
+	*
+	* @example
+	* var PINF = require( '@stdlib/constants/float16/pinf' );
+	*
+	* var v = normalize( PINF );
+	* // returns [ +Infinity, 0 ]
+	*
+	* @example
+	* var NINF = require( '@stdlib/constants/float16/ninf' );
+	*
+	* var v = normalize( NINF );
+	* // returns [ -Infinity, 0 ]
+	*
+	* @example
+	* var v = normalize( NaN );
+	* // returns [ NaN, 0 ]
+	*/
+	( x: number ): Array<number>;
+
+	/**
+	* Returns a normal number `y` and exponent `exp` satisfying \\(x = y \cdot 2^\mathrm{exp}\\) and assigns results to a provided output array.
+	*
+	* @param x - half-precision floating-point number
+	* @param out - output array
+	* @param stride - output array stride
+	* @param offset - output array index offset
+	* @returns output array
+	*
+	* @example
+	* var Float16Array = require( '@stdlib/array/float16' );
+	* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+	*
+	* var out = new Float16Array( 2 );
+	*
+	* var v = normalize.assign( toFloat16( 1.401e-6 ), out, 1, 0 );
+	* // returns <Float16Array>[ 0.00146484375, -10 ]
+	*
+	* var bool = ( v === out );
+	* // returns true
+	*/
+	assign<T = unknown>( x: number, out: Collection<T>, stride: number, offset: number ): Collection<T | number>;
+}
+
+/**
+* Returns a normal number `y` and exponent `exp` satisfying \\(x = y \cdot 2^\mathrm{exp}\\).
+*
+* @param x - half-precision floating-point number
+* @returns output array
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var v = normalize( toFloat16( 1.401e-6 ) );
+* // returns [ 0.00146484375, -10 ]
+*
+* @example
+* var v = normalize( 0.0 );
+* // returns [ 0.0, 0 ]
+*
+* @example
+* var PINF = require( '@stdlib/constants/float16/pinf' );
+*
+* var v = normalize( PINF );
+* // returns [ +Infinity, 0 ]
+*
+* @example
+* var NINF = require( '@stdlib/constants/float16/ninf' );
+*
+* var v = normalize( NINF );
+* // returns [ -Infinity, 0 ]
+*
+* @example
+* var v = normalize( NaN );
+* // returns [ NaN, 0 ]
+*/
+declare var normalize: Normalize;
+
+
+// EXPORTS //
+
+export = normalize;
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/docs/types/test.ts b/lib/node_modules/@stdlib/number/float16/base/normalize/docs/types/test.ts
new file mode 100644
index 000000000000..15b69d58c6d6
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/docs/types/test.ts
@@ -0,0 +1,109 @@
+/*
+* @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.
+*/
+
+import normalize = require( './index' );
+import toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+
+
+// TESTS //
+
+// The function returns an array...
+{
+	normalize( toFloat16( 1.401e-6 ) ); // $ExpectType number[]
+}
+
+// The compiler throws an error if the function is provided a last argument that is not a number...
+{
+	normalize( '5' ); // $ExpectError
+	normalize( true ); // $ExpectError
+	normalize( false ); // $ExpectError
+	normalize( null ); // $ExpectError
+	normalize( {} ); // $ExpectError
+	normalize( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+	normalize(); // $ExpectError
+}
+
+// Attached to the main export is an `assign` method which returns an array-like object containing numbers...
+{
+	const out = [ 0.0, 0.0 ];
+
+	normalize.assign( toFloat16( 1.401e-6 ), out, 1, 0 ); // $ExpectType Collection<number>
+}
+
+// The compiler throws an error if the `assign` method is provided a first argument which is not a number...
+{
+	const out = [ 0.0, 0.0 ];
+
+	normalize.assign( true, out, 1, 0 ); // $ExpectError
+	normalize.assign( false, out, 1, 0 ); // $ExpectError
+	normalize.assign( '5', out, 1, 0 ); // $ExpectError
+	normalize.assign( null, out, 1, 0 ); // $ExpectError
+	normalize.assign( [], out, 1, 0 ); // $ExpectError
+	normalize.assign( {}, out, 1, 0 ); // $ExpectError
+	normalize.assign( ( x: number ): number => x, out, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `assign` method is provided a second argument which is not an array-like object...
+{
+	normalize.assign( 1.0, 1, 1, 0 ); // $ExpectError
+	normalize.assign( 1.0, true, 1, 0 ); // $ExpectError
+	normalize.assign( 1.0, false, 1, 0 ); // $ExpectError
+	normalize.assign( 1.0, null, 1, 0 ); // $ExpectError
+	normalize.assign( 1.0, {}, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `assign` method is provided a third argument which is not a number...
+{
+	const out = [ 0.0, 0.0 ];
+
+	normalize.assign( 1.0, out, '5', 0 ); // $ExpectError
+	normalize.assign( 1.0, out, true, 0 ); // $ExpectError
+	normalize.assign( 1.0, out, false, 0 ); // $ExpectError
+	normalize.assign( 1.0, out, null, 0 ); // $ExpectError
+	normalize.assign( 1.0, out, [], 0 ); // $ExpectError
+	normalize.assign( 1.0, out, {}, 0 ); // $ExpectError
+	normalize.assign( 1.0, out, ( x: number ): number => x, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `assign` method is provided a fourth argument which is not a number...
+{
+	const out = [ 0.0, 0.0 ];
+
+	normalize.assign( 1.0, out, 1, '5' ); // $ExpectError
+	normalize.assign( 1.0, out, 1, true ); // $ExpectError
+	normalize.assign( 1.0, out, 1, false ); // $ExpectError
+	normalize.assign( 1.0, out, 1, null ); // $ExpectError
+	normalize.assign( 1.0, out, 1, [] ); // $ExpectError
+	normalize.assign( 1.0, out, 1, {} ); // $ExpectError
+	normalize.assign( 1.0, out, 1, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the `assign` method is provided an unsupported number of arguments...
+{
+	const out = [ 0.0, 0.0 ];
+
+	normalize.assign(); // $ExpectError
+	normalize.assign( 1.0 ); // $ExpectError
+	normalize.assign( 1.0, out ); // $ExpectError
+	normalize.assign( 1.0, out, 1 ); // $ExpectError
+	normalize.assign( 1.0, out, 1, 0, 1 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/examples/c/Makefile b/lib/node_modules/@stdlib/number/float16/base/normalize/examples/c/Makefile
new file mode 100644
index 000000000000..c8f8e9a1517b
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/examples/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @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 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/number/float16/base/normalize/examples/c/example.c b/lib/node_modules/@stdlib/number/float16/base/normalize/examples/c/example.c
new file mode 100644
index 000000000000..ea99e962d7aa
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/examples/c/example.c
@@ -0,0 +1,39 @@
+/**
+* @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.
+*/
+
+#include "stdlib/number/float16/ctor.h"
+#include "stdlib/number/float16/base/normalize.h"
+#include "stdlib/number/float32/base/to_float16.h"
+#include "stdlib/number/float16/base/to_float32.h"
+#include <stdint.h>
+#include <inttypes.h>
+#include <stdio.h>
+
+int main( void ) {
+	float x[] = { 4.0f, 0.0f, -0.0f, 1.0f, -1.0f, 3.14f, -3.14f, 1.0e-6f, -1.0e-6f, 1.0f/0.0f, -1.0f/0.0f, 0.0f/0.0f };
+
+	stdlib_float16_t v;
+	stdlib_float16_t y;
+	int16_t exp;
+	int i;
+	for ( i = 0; i < 12; i++ ) {
+		v = stdlib_base_float32_to_float16( x[ i ] );
+		stdlib_base_float16_normalize( v, &y, &exp );
+		printf( "%f => y: %f, exp: %" PRId16 "\n", x[ i ], stdlib_base_float16_to_float32( y ), exp );
+	}
+}
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/examples/index.js b/lib/node_modules/@stdlib/number/float16/base/normalize/examples/index.js
new file mode 100644
index 000000000000..4d1862f70512
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/examples/index.js
@@ -0,0 +1,41 @@
+/**
+* @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';
+
+var randu = require( '@stdlib/random/base/randu' );
+var round = require( '@stdlib/math/base/special/round' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var normalize = require( './../lib' );
+
+var frac;
+var exp;
+var x;
+var v;
+var i;
+
+// Generate denormalized half-precision floating-point numbers and then normalize them...
+for ( i = 0; i < 100; i++ ) {
+	frac = 0.26 + (randu()*10.0);
+	exp = 5 + round( randu()*4.0 );
+	x = frac * pow( 10.0, -exp );
+	x = toFloat16( x );
+	v = normalize( x );
+	console.log( '%d = %d * 2^%d = %d', x, v[0], v[1], v[0]*pow(2.0, v[1]) );
+}
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/include.gypi b/lib/node_modules/@stdlib/number/float16/base/normalize/include.gypi
new file mode 100644
index 000000000000..bee8d41a2caf
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/include.gypi
@@ -0,0 +1,53 @@
+# @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.
+
+# 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/number/float16/base/normalize/include/stdlib/number/float16/base/normalize.h b/lib/node_modules/@stdlib/number/float16/base/normalize/include/stdlib/number/float16/base/normalize.h
new file mode 100644
index 000000000000..5b2dffbf610c
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/include/stdlib/number/float16/base/normalize.h
@@ -0,0 +1,41 @@
+/**
+* @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.
+*/
+
+#ifndef STDLIB_NUMBER_FLOAT16_BASE_NORMALIZE_H
+#define STDLIB_NUMBER_FLOAT16_BASE_NORMALIZE_H
+
+#include "stdlib/number/float16/ctor.h"
+#include <stdint.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 a normal number `y` and exponent `exp` satisfying `x = y * 2^exp`.
+*/
+void stdlib_base_float16_normalize( const stdlib_float16_t x, stdlib_float16_t *y, int16_t *exp );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif // !STDLIB_NUMBER_FLOAT16_BASE_NORMALIZE_H
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/lib/assign.js b/lib/node_modules/@stdlib/number/float16/base/normalize/lib/assign.js
new file mode 100644
index 000000000000..e3adf29c4f69
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/lib/assign.js
@@ -0,0 +1,119 @@
+/**
+* @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 FLOAT16_SMALLEST_NORMAL = require( '@stdlib/constants/float16/smallest-normal' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var PINF = require( '@stdlib/constants/float16/pinf' );
+var NINF = require( '@stdlib/constants/float16/ninf' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var isFloat16Array = require( '@stdlib/assert/is-float16array' );
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+
+
+// VARIABLES //
+
+var SCALAR = 1024; // (1<<10)
+
+
+// FUNCTIONS //
+
+/**
+* Assigns values to output array, handling Float16Array and regular arrays.
+*
+* @private
+* @param {Collection} out - output array
+* @param {NonNegativeInteger} offset - output array index offset
+* @param {integer} stride - output array stride
+* @param {number} val1 - first value to assign
+* @param {number} val2 - second value to assign
+*/
+function assignValues( out, offset, stride, val1, val2 ) {
+	if ( isFloat16Array( out ) ) {
+		out.set( val1, offset );
+		out.set( val2, offset + stride );
+	} else {
+		out[ offset ] = val1;
+		out[ offset + stride ] = val2;
+	}
+}
+
+
+// MAIN //
+
+/**
+* Returns a normal number `y` and exponent `exp` satisfying \\(x = y \cdot 2^\mathrm{exp}\\) and assigns results to a provided output array.
+*
+* @private
+* @param {number} x - half-precision floating-point number
+* @param {Collection} out - output array
+* @param {integer} stride - output array stride
+* @param {NonNegativeInteger} offset - output array index offset
+* @returns {Collection} output array
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var v = normalize( toFloat16( 1.401e-6 ), [ 0.0, 0.0 ], 1, 0 );
+* // returns [ 0.00146484375, -10 ]
+*
+* @example
+* var v = normalize( 0.0, [ 0.0, 0.0 ], 1, 0 );
+* // returns [ 0.0, 0 ];
+*
+* @example
+* var PINF = require( '@stdlib/constants/float16/pinf' );
+*
+* var v = normalize( PINF, [ 0.0, 0.0 ], 1, 0 );
+* // returns [ +Infinity, 0 ]
+*
+* @example
+* var NINF = require( '@stdlib/constants/float16/ninf' );
+*
+* var v = normalize( NINF, [ 0.0, 0.0 ], 1, 0 );
+* // returns [ -Infinity, 0 ]
+*
+* @example
+* var v = normalize( NaN, [ 0.0, 0.0 ], 1, 0 );
+* // returns [ NaN, 0 ]
+*/
+function normalize( x, out, stride, offset ) {
+	if (
+		isnan( x ) ||
+		x === PINF ||
+		x === NINF
+	) {
+		assignValues( out, offset, stride, x, 0 );
+		return out;
+	}
+	if ( x !== 0.0 && abs( x ) < FLOAT16_SMALLEST_NORMAL ) {
+		x = toFloat16( x*SCALAR );
+		assignValues( out, offset, stride, x, -10 );
+		return out;
+	}
+	assignValues( out, offset, stride, x, 0 );
+	return out;
+}
+
+
+// EXPORTS //
+
+module.exports = normalize;
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/lib/index.js b/lib/node_modules/@stdlib/number/float16/base/normalize/lib/index.js
new file mode 100644
index 000000000000..a02354fdd920
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/lib/index.js
@@ -0,0 +1,68 @@
+/**
+* @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';
+
+/**
+* Return a normal number `y` and exponent `exp` satisfying \\(x = y \cdot 2^\mathrm{exp}\\).
+*
+* @module @stdlib/number/float16/base/normalize
+*
+* @example
+* var pow = require( '@stdlib/math/base/special/pow' );
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+* var normalize = require( '@stdlib/number/float16/base/normalize' );
+*
+* var out = normalize( toFloat16( 1.401e-6 ) );
+* // returns [ 0.00146484375, -10 ]
+*
+* var y = out[ 0 ];
+* var exp = out[ 1 ];
+*
+* var bool = ( y*pow(2,exp) === toFloat16(1.401e-6) );
+* // returns true
+*
+* @example
+* var Float16Array = require( '@stdlib/array/float16' );
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+* var normalize = require( '@stdlib/number/float16/base/normalize' );
+*
+* var out = new Float16Array( 2 );
+*
+* var v = normalize.assign( toFloat16( 1.401e-6 ), out, 1, 0 );
+* // returns <Float16Array>[ 0.00146484375, -10.0 ]
+*
+* var bool = ( v === out );
+* // returns true
+*/
+
+// MODULES //
+
+var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' );
+var main = require( './main.js' );
+var assign = require( './assign.js' );
+
+
+// MAIN //
+
+setReadOnly( main, 'assign', assign );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/lib/main.js b/lib/node_modules/@stdlib/number/float16/base/normalize/lib/main.js
new file mode 100644
index 000000000000..72951a153708
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/lib/main.js
@@ -0,0 +1,67 @@
+/**
+* @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 assign = require( './assign.js' );
+
+
+// MAIN //
+
+/**
+* Returns a normal number `y` and exponent `exp` satisfying \\(x = y \cdot 2^\mathrm{exp}\\).
+*
+* @param {number} x - half-precision floating-point number
+* @returns {Array<number>} output array
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var v = normalize( toFloat16( 1.401e-6 ) );
+* // returns [ 0.00146484375, -10 ]
+*
+* @example
+* var v = normalize( 0.0 );
+* // returns [ 0.0, 0 ]
+*
+* @example
+* var PINF = require( '@stdlib/constants/float16/pinf' );
+*
+* var v = normalize( PINF );
+* // returns [ +Infinity, 0 ]
+*
+* @example
+* var NINF = require( '@stdlib/constants/float16/ninf' );
+*
+* var v = normalize( NINF );
+* // returns [ -Infinity, 0 ]
+*
+* @example
+* var v = normalize( NaN );
+* // returns [ NaN, 0 ]
+*/
+function normalize( x ) {
+	return assign( x, [ 0.0, 0.0 ], 1, 0 );
+}
+
+
+// EXPORTS //
+
+module.exports = normalize;
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/lib/native.js b/lib/node_modules/@stdlib/number/float16/base/normalize/lib/native.js
new file mode 100644
index 000000000000..860bc4b72b56
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/lib/native.js
@@ -0,0 +1,75 @@
+/**
+* @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 Float16Array = require( '@stdlib/array/float16' );
+var Float32Array = require( '@stdlib/array/float32' );
+var addon = require( './../src/addon.node' );
+
+
+// MAIN //
+
+/**
+* Returns a normal number `y` and exponent `exp` satisfying \\(x = y \cdot 2^\mathrm{exp}\\).
+*
+* @private
+* @param {number} x - input value
+* @returns {Float16Array} output array
+*
+* @example
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var v = normalize( toFloat16( 1.401e-6 ) );
+* // returns <Float16Array>[ 0.00146484375, -10 ]
+*
+* @example
+* var v = normalize( 0.0 );
+* // returns <Float16Array>[ 0, 0 ]
+*
+* @example
+* var PINF = require( '@stdlib/constants/float16/pinf' );
+*
+* var v = normalize( PINF );
+* // returns <Float16Array>[ Infinity, 0 ]
+*
+* @example
+* var NINF = require( '@stdlib/constants/float16/ninf' );
+*
+* var v = normalize( NINF );
+* // returns <Float16Array>[ -Infinity, 0 ]
+*
+* @example
+* var v = normalize( NaN );
+* // returns <Float16Array>[ NaN, 0 ]
+*/
+function normalize( x ) {
+	var out = new Float32Array( 2 );
+	addon( out, x );
+	out = new Float16Array( out );
+	return out;
+}
+
+
+// EXPORTS //
+
+module.exports = normalize;
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/manifest.json b/lib/node_modules/@stdlib/number/float16/base/normalize/manifest.json
new file mode 100644
index 000000000000..0bbaf0bf0fac
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/manifest.json
@@ -0,0 +1,94 @@
+{
+  "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/number/float64/base/to-float16",
+        "@stdlib/number/float16/base/mul",
+        "@stdlib/number/float32/base/to-float16",
+        "@stdlib/number/float16/base/to-float32",
+        "@stdlib/number/float16/ctor",
+        "@stdlib/math/base/assert/is-infinitef",
+        "@stdlib/math/base/assert/is-nanf",
+        "@stdlib/math/base/special/absf"
+      ]
+    },
+    {
+      "task": "benchmark",
+      "wasm": false,
+      "src": [
+        "./src/main.c"
+      ],
+      "include": [
+        "./include"
+      ],
+      "libraries": [],
+      "libpath": [],
+      "dependencies": [
+        "@stdlib/number/float16/base/mul",
+        "@stdlib/number/float32/base/to-float16",
+        "@stdlib/number/float16/base/to-float32",
+        "@stdlib/number/float16/ctor",
+        "@stdlib/math/base/assert/is-infinitef",
+        "@stdlib/math/base/assert/is-nanf",
+        "@stdlib/math/base/special/absf"
+      ]
+    },
+    {
+      "task": "examples",
+      "wasm": false,
+      "src": [
+        "./src/main.c"
+      ],
+      "include": [
+        "./include"
+      ],
+      "libraries": [],
+      "libpath": [],
+      "dependencies": [
+        "@stdlib/number/float16/base/mul",
+        "@stdlib/number/float32/base/to-float16",
+        "@stdlib/number/float16/base/to-float32",
+        "@stdlib/number/float16/ctor",
+        "@stdlib/math/base/assert/is-infinitef",
+        "@stdlib/math/base/assert/is-nanf",
+        "@stdlib/math/base/special/absf"
+      ]
+    }
+  ]
+}
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/package.json b/lib/node_modules/@stdlib/number/float16/base/normalize/package.json
new file mode 100644
index 000000000000..3298ef7b1944
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/package.json
@@ -0,0 +1,75 @@
+{
+  "name": "@stdlib/number/float16/base/normalize",
+  "version": "0.0.0",
+  "description": "Return a normal number `y` and exponent `exp` satisfying `x = y * 2^exp`.",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "gypfile": true,
+  "directories": {
+    "benchmark": "./benchmark",
+    "doc": "./docs",
+    "example": "./examples",
+    "include": "./include",
+    "lib": "./lib",
+    "src": "./src",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "stdtypes",
+    "base",
+    "utilities",
+    "utility",
+    "utils",
+    "util",
+    "types",
+    "type",
+    "float16",
+    "half",
+    "floating-point",
+    "ieee754",
+    "denormalized",
+    "normalize",
+    "subnormal",
+    "number",
+    "normal",
+    "float"
+  ]
+}
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/src/Makefile b/lib/node_modules/@stdlib/number/float16/base/normalize/src/Makefile
new file mode 100644
index 000000000000..2caf905cedbe
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/src/Makefile
@@ -0,0 +1,70 @@
+#/
+# @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
+
+
+# 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/number/float16/base/normalize/src/addon.c b/lib/node_modules/@stdlib/number/float16/base/normalize/src/addon.c
new file mode 100644
index 000000000000..4a314b2d6e3a
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/src/addon.c
@@ -0,0 +1,118 @@
+/**
+* @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.
+*/
+
+#include "stdlib/number/float16/base/normalize.h"
+#include "stdlib/number/float64/base/to_float16.h"
+#include "stdlib/number/float16/ctor.h"
+#include <node_api.h>
+#include <stdint.h>
+#include <stdbool.h>
+#include <assert.h>
+
+/**
+* Receives JavaScript callback invocation data.
+*
+* @param env    environment under which the function is invoked
+* @param info   callback data
+* @return       Node-API value
+*/
+static napi_value addon( napi_env env, napi_callback_info info ) {
+	napi_status status;
+
+	// Get callback arguments:
+	size_t argc = 2;
+	napi_value argv[ 2 ];
+	status = napi_get_cb_info( env, info, &argc, argv, NULL, NULL );
+	assert( status == napi_ok );
+
+	// Check whether we were provided the correct number of arguments:
+	if ( argc < 2 ) {
+		status = napi_throw_error( env, NULL, "invalid invocation. Insufficient arguments." );
+		assert( status == napi_ok );
+		return NULL;
+	}
+	if ( argc > 2 ) {
+		status = napi_throw_error( env, NULL, "invalid invocation. Too many arguments." );
+		assert( status == napi_ok );
+		return NULL;
+	}
+
+	bool res;
+	status = napi_is_typedarray( env, argv[ 0 ], &res );
+	assert( status == napi_ok );
+	if ( res == false ) {
+		status = napi_throw_type_error( env, NULL, "invalid argument. First argument must be a Float64Array." );
+		assert( status == napi_ok );
+		return NULL;
+	}
+
+	napi_valuetype vtype1;
+	status = napi_typeof( env, argv[ 1 ], &vtype1 );
+	assert( status == napi_ok );
+	if ( vtype1 != napi_number ) {
+		status = napi_throw_type_error( env, NULL, "invalid argument. Second argument must be a number." );
+		assert( status == napi_ok );
+		return NULL;
+	}
+
+	napi_typedarray_type vtype0;
+	size_t len;
+	void *Out;
+	status = napi_get_typedarray_info( env, argv[ 0 ], &vtype0, &len, &Out, NULL, NULL );
+	assert( status == napi_ok );
+	if ( vtype0 != napi_float32_array ) {
+		status = napi_throw_type_error( env, NULL, "invalid argument. First argument must be a Float32Array." );
+		assert( status == napi_ok );
+		return NULL;
+	}
+	if ( len != 2 ) {
+		status = napi_throw_range_error( env, NULL, "invalid argument. First argument must have 2 elements." );
+		assert( status == napi_ok );
+		return NULL;
+	}
+
+	double value;
+	status = napi_get_value_double( env, argv[ 1 ], &value );
+	assert( status == napi_ok );
+
+	stdlib_float16_t y;
+	int16_t exp;
+	stdlib_base_float16_normalize( stdlib_base_float64_to_float16( value ), &y, &exp );
+
+	float *op = (float *)Out;
+	op[ 0 ] = y;
+	op[ 1 ] = (float)exp;
+
+	return NULL;
+}
+
+/**
+* Initializes a Node-API module.
+*
+* @param env      environment under which the function is invoked
+* @param exports  exports object
+* @return         main export
+*/
+static napi_value init( napi_env env, napi_value exports ) {
+	napi_value fcn;
+	napi_status status = napi_create_function( env, "exports", NAPI_AUTO_LENGTH, addon, NULL, &fcn );
+	assert( status == napi_ok );
+	return fcn;
+}
+
+NAPI_MODULE( NODE_GYP_MODULE_NAME, init )
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/src/main.c b/lib/node_modules/@stdlib/number/float16/base/normalize/src/main.c
new file mode 100644
index 000000000000..61d619899e7d
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/src/main.c
@@ -0,0 +1,73 @@
+/**
+* @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.
+*/
+
+#include "stdlib/number/float16/base/normalize.h"
+#include "stdlib/number/float16/base/mul.h"
+#include "stdlib/number/float32/base/to_float16.h"
+#include "stdlib/number/float16/base/to_float32.h"
+#include "stdlib/number/float16/ctor.h"
+#include "stdlib/math/base/assert/is_infinitef.h"
+#include "stdlib/math/base/assert/is_nanf.h"
+#include "stdlib/math/base/special/absf.h"
+#include <stdint.h>
+
+// VARIABLES //
+
+static const uint16_t UINT16_POSITIVE_ZERO = 0x0000;   // 0x0000 = 0 => 0 00000 0000000000
+static const uint16_t UINT16_NEGATIVE_ZERO = 0x8000;   // 0x8000 = 32768 => 1 00000 0000000000
+
+/**
+* Extracts a normal number `y` and exponent `exp` satisfying `x = y * 2^exp`.
+*
+* @param x        input value
+* @param y        destination for normal number
+* @param exp      destination for exponent
+*
+* @example
+* #include "stdlib/number/float16/ctor.h"
+* #include <stdint.h>
+*
+* stdlib_float16_t x;
+* stdlib_float16_t y;
+* int16_t exp;
+*
+* x = stdlib_float16_from_bits( 51648 ); // => -11.5
+*
+* stdlib_base_float16_normalize( x, &y, &exp );
+*/
+void stdlib_base_float16_normalize( const stdlib_float16_t x, stdlib_float16_t *y, int16_t *exp ) {
+	stdlib_float16_t SCALAR;
+	uint16_t z;
+
+	SCALAR = stdlib_base_float32_to_float16( 1024.0f );  // (1<<10)
+	if ( stdlib_base_is_nanf( stdlib_base_float16_to_float32( x ) ) || stdlib_base_is_infinitef( stdlib_base_float16_to_float32( x ) ) ) {
+		*y = x;
+		*exp = 0;
+		return;
+	}
+
+	z = stdlib_float16_to_bits( x );
+	if ( ( z != UINT16_POSITIVE_ZERO || z != UINT16_NEGATIVE_ZERO ) && stdlib_base_absf( stdlib_base_float16_to_float32( x ) ) < 6.103515625e-5f ) {
+		*y = stdlib_base_float16_mul( x, SCALAR );
+		*exp = -10;
+		return;
+	}
+	*y = x;
+	*exp = 0;
+	return;
+}
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/test/test.assign.js b/lib/node_modules/@stdlib/number/float16/base/normalize/test/test.assign.js
new file mode 100644
index 000000000000..aadb6cc87418
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/test/test.assign.js
@@ -0,0 +1,184 @@
+/**
+* @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 tape = require( 'tape' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var randu = require( '@stdlib/random/base/randu' );
+var round = require( '@stdlib/math/base/special/round' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var PINF = require( '@stdlib/constants/float16/pinf' );
+var NINF = require( '@stdlib/constants/float16/ninf' );
+var Float16Array = require( '@stdlib/array/float16' );
+var FLOAT16_SMALLEST_NORMAL = require( '@stdlib/constants/float16/smallest-normal' );
+var FLOAT16_SMALLEST_SUBNORMAL = require( '@stdlib/constants/float16/smallest-subnormal' ); // eslint-disable-line id-length
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var normalize = require( './../lib/assign.js' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof normalize, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function normalizes a denormalized number, returning a normal number and an exponent', function test( t ) {
+	var frac;
+	var exp;
+	var out;
+	var x1;
+	var x;
+	var v;
+	var i;
+
+	// Smallest denormalized number:
+	out = [ 0.0, 0.0 ];
+	v = normalize( FLOAT16_SMALLEST_SUBNORMAL, out, 1, 0 );
+	t.strictEqual( v, out, 'returns output array' );
+	t.ok( v[ 0 ] >= FLOAT16_SMALLEST_NORMAL, 'returns a normal number' );
+	t.strictEqual( v[ 0 ]*pow( 2.0, v[ 1 ] ), FLOAT16_SMALLEST_SUBNORMAL, 'x = y * 2^exp' );
+
+	// Other subnormals...
+	for ( i = 0; i < 1000; i++ ) {
+		frac = 0.26 + (randu()*10.0); // 0.26 prevents underflow
+		exp = -5 - round( randu()*1.0 );
+		x = frac * pow( 10.0, exp );
+		x = toFloat16( x );
+
+		out = [ 0.0, 0.0 ];
+		v = normalize( x, out, 1, 0 );
+		t.strictEqual( v, out, 'returns output array' );
+		t.ok( v[ 0 ] >= FLOAT16_SMALLEST_NORMAL, 'returns a normal number ' + v[0] );
+
+		x1 = v[ 0 ] * pow( 2.0, v[ 1 ] );
+		x1 = toFloat16( x1 );
+		t.strictEqual( x1, x, 'y*2^exp=x. y='+v[0]+', exp='+v[1]+', x='+x );
+	}
+	t.end();
+});
+
+tape( 'the function returns `[0,0]` if provided a `0`', function test( t ) {
+	var out;
+	var val;
+
+	out = [ 0, 0 ];
+	val = normalize( 0.0, out, 1, 0 );
+	t.strictEqual( val, out, 'returns output array' );
+	t.deepEqual( val, [0.0, 0], 'returns [0,0]' );
+	t.end();
+});
+
+tape( 'the function returns `[+inf,0]` if provided a `+infinity`', function test( t ) {
+	var out;
+	var val;
+
+	out = [ 0.0, 0.0 ];
+	val = normalize( PINF, out, 1, 0 );
+	t.strictEqual( val, out, 'returns output array' );
+	t.deepEqual( val, [PINF, 0], 'returns [+inf,0]' );
+	t.end();
+});
+
+tape( 'the function returns `[-inf,0]` if provided a `-infinity`', function test( t ) {
+	var out;
+	var val;
+
+	out = [ 0.0, 0.0 ];
+	val = normalize( NINF, out, 1, 0 );
+	t.strictEqual( val, out, 'returns output array' );
+	t.deepEqual( val, [NINF, 0], 'returns [-inf,0]' );
+	t.end();
+});
+
+tape( 'the function returns `[NaN,0]` if provided a `NaN`', function test( t ) {
+	var out;
+	var val;
+
+	out = [ 0.0, 0.0 ];
+	val = normalize( NaN, out, 1, 0 );
+	t.strictEqual( val, out, 'returns output array' );
+	t.strictEqual( isnan( val[0] ), true, 'first element is NaN' );
+	t.strictEqual( val[1], 0, 'second element is 0' );
+	t.end();
+});
+
+tape( 'the function supports providing an output array (array)', function test( t ) {
+	var out;
+	var val;
+
+	out = [ 3.14, 3.14 ];
+	val = normalize( 0.0, out, 1, 0 );
+
+	t.strictEqual( val, out, 'returns output array' );
+	t.strictEqual( val[ 0 ], 0.0, 'first element is 0' );
+	t.strictEqual( val[ 1 ], 0, 'second element is 0' );
+
+	t.end();
+});
+
+tape( 'the function supports providing an output array (typed array)', function test( t ) {
+	var out;
+	var val;
+
+	out = new Float16Array([ 3.14, 3.14 ]);
+
+	val = normalize( 0.0, out, 1, 0 );
+
+	t.strictEqual( val, out, 'returns output array' );
+	t.strictEqual( val.get( 0 ), 0.0, 'first element is 0' );
+	t.strictEqual( val.get( 1 ), 0, 'second element is 0' );
+
+	t.end();
+});
+
+tape( 'the function supports specifying a stride', function test( t ) {
+	var out;
+	var val;
+
+	out = new Float16Array( 4 );
+	val = normalize( toFloat16( 1.401e-6 ), out, 2, 0 );
+
+	t.strictEqual( val, out, 'returns output array' );
+	t.strictEqual( val.get( 0 ), 0.00146484375, 'returns expected value' );
+	t.strictEqual( val.get( 1 ), 0, 'returns expected value' );
+	t.strictEqual( val.get( 2 ), -10, 'returns expected value' );
+	t.strictEqual( val.get( 3 ), 0, 'returns expected value' );
+
+	t.end();
+});
+
+tape( 'the function supports specifying an offset', function test( t ) {
+	var out;
+	var val;
+
+	out = new Float16Array( 4 );
+	val = normalize( toFloat16( 1.401e-6 ), out, 2, 1 );
+
+	t.strictEqual( val, out, 'returns output array' );
+	t.strictEqual( val.get( 0 ), 0, 'returns expected value' );
+	t.strictEqual( val.get( 1 ), 0.00146484375, 'returns expected value' );
+	t.strictEqual( val.get( 2 ), 0, 'returns expected value' );
+	t.strictEqual( val.get( 3 ), -10, 'returns expected value' );
+
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/test/test.js b/lib/node_modules/@stdlib/number/float16/base/normalize/test/test.js
new file mode 100644
index 000000000000..69534edf38a0
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/test/test.js
@@ -0,0 +1,40 @@
+/**
+* @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 tape = require( 'tape' );
+var hasOwnProp = require( '@stdlib/assert/has-own-property' );
+var normalize = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof normalize, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'attached to the main export is an `assign` method', function test( t ) {
+	t.strictEqual( hasOwnProp( normalize, 'assign' ), true, 'has property' );
+	t.strictEqual( typeof normalize.assign, 'function', 'has method' );
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/test/test.main.js b/lib/node_modules/@stdlib/number/float16/base/normalize/test/test.main.js
new file mode 100644
index 000000000000..d627dbb140ab
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/test/test.main.js
@@ -0,0 +1,97 @@
+/**
+* @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 tape = require( 'tape' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var randu = require( '@stdlib/random/base/randu' );
+var round = require( '@stdlib/math/base/special/round' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var PINF = require( '@stdlib/constants/float16/pinf' );
+var NINF = require( '@stdlib/constants/float16/ninf' );
+var FLOAT16_SMALLEST_NORMAL = require( '@stdlib/constants/float16/smallest-normal' );
+var FLOAT16_SMALLEST_SUBNORMAL = require( '@stdlib/constants/float16/smallest-subnormal' ); // eslint-disable-line id-length
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var normalize = require( './../lib/main.js' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof normalize, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function normalizes a denormalized number, returning a normal number and an exponent', function test( t ) {
+	var frac;
+	var exp;
+	var x1;
+	var x;
+	var v;
+	var i;
+
+	// Smallest denormalized number:
+	v = normalize( FLOAT16_SMALLEST_SUBNORMAL );
+	t.ok( v[ 0 ] >= FLOAT16_SMALLEST_NORMAL, 'returns a normal number' );
+	t.strictEqual( v[ 0 ]*pow( 2.0, v[ 1 ] ), FLOAT16_SMALLEST_SUBNORMAL, 'x = y * 2^exp' );
+
+	// Other subnormals...
+	for ( i = 0; i < 1000; i++ ) {
+		frac = 0.26 + (randu()*10.0); // 0.26 prevents underflow
+		exp = -5 - round( randu()*1.0 );
+		x = frac * pow( 10.0, exp );
+		x = toFloat16( x );
+
+		v = normalize( x );
+		t.ok( v[ 0 ] >= FLOAT16_SMALLEST_NORMAL, 'returns a normal number ' + v[0] );
+
+		x1 = v[ 0 ] * pow( 2.0, v[ 1 ] );
+		x1 = toFloat16( x1 );
+		t.strictEqual( x1, x, 'y*2^exp=x. y='+v[0]+', exp='+v[1]+', x='+x );
+	}
+	t.end();
+});
+
+tape( 'the function returns `[0,0]` if provided a `0`', function test( t ) {
+	var val = normalize( 0.0 );
+	t.deepEqual( val, [0.0, 0], 'returns [0,0]' );
+	t.end();
+});
+
+tape( 'the function returns `[+inf,0]` if provided a `+infinity`', function test( t ) {
+	var val = normalize( PINF );
+	t.deepEqual( val, [PINF, 0], 'returns [+inf,0]' );
+	t.end();
+});
+
+tape( 'the function returns `[-inf,0]` if provided a `-infinity`', function test( t ) {
+	var val = normalize( NINF );
+	t.deepEqual( val, [NINF, 0], 'returns [-inf,0]' );
+	t.end();
+});
+
+tape( 'the function returns `[NaN,0]` if provided a `NaN`', function test( t ) {
+	var val = normalize( NaN );
+	t.strictEqual( isnan( val[0] ), true, 'first element is NaN' );
+	t.strictEqual( val[1], 0, 'second element is 0' );
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/number/float16/base/normalize/test/test.native.js b/lib/node_modules/@stdlib/number/float16/base/normalize/test/test.native.js
new file mode 100644
index 000000000000..db11a5894ad7
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/normalize/test/test.native.js
@@ -0,0 +1,107 @@
+/**
+* @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 tape = require( 'tape' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var randu = require( '@stdlib/random/base/randu' );
+var round = require( '@stdlib/math/base/special/round' );
+var PINF = require( '@stdlib/constants/float16/pinf' );
+var NINF = require( '@stdlib/constants/float16/ninf' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var FLOAT16_SMALLEST_NORMAL = require( '@stdlib/constants/float16/smallest-normal' );
+var FLOAT16_SMALLEST_SUBNORMAL = require( '@stdlib/constants/float16/smallest-subnormal' ); // eslint-disable-line id-length
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var Float16Array = require( '@stdlib/array/float16' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+
+// VARIABLES //
+
+var normalize = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( normalize instanceof Error )
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof normalize, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function normalizes a denormalized number, returning a normal number and an exponent', opts, function test( t ) {
+	var frac;
+	var exp;
+	var x1;
+	var x;
+	var v;
+	var i;
+
+	// Smallest denormalized number:
+	v = normalize( FLOAT16_SMALLEST_SUBNORMAL );
+	t.ok( v.get( 0 ) >= FLOAT16_SMALLEST_NORMAL, 'returns a normal number' );
+	t.strictEqual( v.get( 0 )*pow( 2.0, v.get( 1 ) ), FLOAT16_SMALLEST_SUBNORMAL, 'x = y * 2^exp' );
+
+	// Other subnormals...
+	for ( i = 0; i < 1000; i++ ) {
+		frac = 0.26 + (randu()*10.0); // 0.26 prevents underflow
+		exp = -5 - round( randu()*1.0 );
+		x = frac * pow( 10.0, exp );
+		x = toFloat16( x );
+
+		v = normalize( x );
+		t.ok( v.get( 0 ) >= FLOAT16_SMALLEST_NORMAL, 'returns a normal number ' + v.get( 0 ) );
+
+		x1 = v.get( 0 ) * pow( 2.0, v.get( 1 ) );
+		x1 = toFloat16( x1 );
+		t.strictEqual( x1, x, 'y*2^exp=x. y='+v.get( 0 )+', exp='+v.get( 1 )+', x='+x );
+	}
+	t.end();
+});
+
+tape( 'the function returns `[0,0]` if provided a `0`', opts, function test( t ) {
+	var val = normalize( 0.0 );
+	t.deepEqual( val, new Float16Array([ 0.0, 0 ]), 'returns [0,0]' );
+	t.end();
+});
+
+tape( 'the function returns `[+inf,0]` if provided a `+infinity`', opts, function test( t ) {
+	var val = normalize( PINF );
+	t.deepEqual( val, new Float16Array([ PINF, 0 ]), 'returns [+inf,0]' );
+	t.end();
+});
+
+tape( 'the function returns `[-inf,0]` if provided a `-infinity`', opts, function test( t ) {
+	var val = normalize( NINF );
+	t.deepEqual( val, new Float16Array([ NINF, 0 ]), 'returns [-inf,0]' );
+	t.end();
+});
+
+tape( 'the function returns `[NaN,0]` if provided a `NaN`', opts, function test( t ) {
+	var val = normalize( NaN );
+	t.strictEqual( isnan( val.get( 0 ) ), true, 'first element is NaN' );
+	t.strictEqual( val.get( 1 ), 0, 'second element is 0' );
+	t.end();
+});