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 @@
+
+
+# normalize
+
+> Return a normal number `y` and exponent `exp` satisfying `x = y * 2^exp`.
+
+
+
+## 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 [ 0.00146484375, -10 ]
+
+var bool = ( v === out );
+// returns true
+```
+
+
+
+
+
+
+
+## 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.
+
+
+
+
+
+
+
+## Examples
+
+
+
+```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]) );
+}
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### 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
+
+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 );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### 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
+#include
+#include
+
+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 );
+ }
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985
+
+
+
+
+
+
+
+
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
+#include
+#include
+#include
+#include
+#include
+
+#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
+ 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 )
+ [ 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
+
+///
+
+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;
+
+ /**
+ * 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 [ 0.00146484375, -10 ]
+ *
+ * var bool = ( v === out );
+ * // returns true
+ */
+ assign( x: number, out: Collection, stride: number, offset: number ): Collection;
+}
+
+/**
+* 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
+}
+
+// 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
+#include
+#include
+
+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': [
+ '
+
+/*
+* 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 [ 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} 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 [ 0.00146484375, -10 ]
+*
+* @example
+* var v = normalize( 0.0 );
+* // returns [ 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 ) {
+ 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
+#include
+#include
+#include
+
+/**
+* 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
+
+// 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
+*
+* 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();
+});