diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/LICENSE b/lib/node_modules/@stdlib/math/base/special/atanhf/LICENSE
new file mode 100644
index 000000000000..a7566ad6f2c3
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/LICENSE
@@ -0,0 +1,192 @@
+
+ Apache License
+ Version 2.0, January 2004
+ http://www.apache.org/licenses/
+
+ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+ 1. Definitions.
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+ "License" shall mean the terms and conditions for use, reproduction,
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+ "You" (or "Your") shall mean an individual or Legal Entity
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+ including but not limited to software source code, documentation
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+ You may add Your own copyright statement to Your modifications and
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+ 5. Submission of Contributions. Unless You explicitly state otherwise,
+ any Contribution intentionally submitted for inclusion in the Work
+ by You to the Licensor shall be under the terms and conditions of
+ this License, without any additional terms or conditions.
+ Notwithstanding the above, nothing herein shall supersede or modify
+ the terms of any separate license agreement you may have executed
+ with Licensor regarding such Contributions.
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+ 6. Trademarks. This License does not grant permission to use the trade
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+ 7. Disclaimer of Warranty. Unless required by applicable law or
+ agreed to in writing, Licensor provides the Work (and each
+ Contributor provides its Contributions) on an "AS IS" BASIS,
+ WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
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+ of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+ PARTICULAR PURPOSE. You are solely responsible for determining the
+ appropriateness of using or redistributing the Work and assume any
+ risks associated with Your exercise of permissions under this License.
+
+ 8. Limitation of Liability. In no event and under no legal theory,
+ whether in tort (including negligence), contract, or otherwise,
+ unless required by applicable law (such as deliberate and grossly
+ negligent acts) or agreed to in writing, shall any Contributor be
+ liable to You for damages, including any direct, indirect, special,
+ incidental, or consequential damages of any character arising as a
+ result of this License or out of the use or inability to use the
+ Work (including but not limited to damages for loss of goodwill,
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+ 9. Accepting Warranty or Additional Liability. While redistributing
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+ of your accepting any such warranty or additional liability.
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+ END OF TERMS AND CONDITIONS
+
+DEPENDENCIES & ATTRIBUTION
+
+The library links against the following external libraries or contains
+implementations from the following external libraries, which have their own
+licenses:
+
+* FreeBSD
+
+Copyright (C) 1993-2004 by Sun Microsystems, Inc. All rights reserved.
+
+Developed at SunPro, a Sun Microsystems, Inc. business.
+Permission to use, copy, modify, and distribute this
+software is freely granted, provided that this notice
+is preserved.
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/README.md b/lib/node_modules/@stdlib/math/base/special/atanhf/README.md
new file mode 100644
index 000000000000..846d140088c4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/README.md
@@ -0,0 +1,202 @@
+
+
+# atanhf
+
+> Compute the [hyperbolic arctangent][hyperbolic-arctangent] of a single-precision floating-point number.
+
+
+
+## Usage
+
+```javascript
+var atanhf = require( '@stdlib/math/base/special/atanhf' );
+```
+
+#### atanhf( x )
+
+Computes the [hyperbolic arctangent][hyperbolic-arctangent] of a single-precision floating-point number.
+
+```javascript
+var v = atanhf( 0.0 );
+// returns 0.0
+
+v = atanhf( -0.0 );
+// returns -0.0
+
+v = atanhf( 0.5 );
+// returns ~0.549
+
+v = atanhf( 0.9 );
+// returns ~1.472
+
+v = atanhf( 1.0 );
+// returns Infinity
+
+v = atanhf( -1.0 );
+// returns -Infinity
+```
+
+The domain of `x` is restricted to `[-1,1]`. If `|x| > 1`, the function returns `NaN`.
+
+```javascript
+var v = atanhf( -3.14 );
+// returns NaN
+```
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var atanhf = require( '@stdlib/math/base/special/atanhf' );
+
+var x = uniform( 100, -1.0, 1.0, {
+ 'dtype': 'float32'
+});
+
+logEachMap( 'atanhf(%0.4f) = %0.4f', x, atanhf );
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/atanhf.h"
+```
+
+#### stdlib_base_atanhf( x )
+
+Computes the [hyperbolic arctangent][hyperbolic-arctangent] of a single-precision floating-point number.
+
+```c
+float out = stdlib_base_atanhf( 0.0f );
+// returns 0.0f
+
+out = stdlib_base_atanhf( -0.0f );
+// returns -0.0f
+```
+
+The function accepts the following arguments:
+
+- **x**: `[in] float` input value.
+
+```c
+float stdlib_base_atanhf( const float x );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/atanhf.h"
+#include
+
+int main( void ) {
+ const float x[] = { -1.0f, -0.78f, -0.56f, -0.33f, -0.11f, 0.11f, 0.33f, 0.56f, 0.78f, 1.0f };
+
+ float v;
+ int i;
+ for ( i = 0; i < 10; i++ ) {
+ v = stdlib_base_atanhf( x[ i ] );
+ printf( "atanhf(%f) = %f\n", x[ i ], v );
+ }
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[hyperbolic-arctangent]: https://en.wikipedia.org/wiki/Inverse_hyperbolic_function
+
+
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/benchmark.js
new file mode 100644
index 000000000000..a3e1aed43c00
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/benchmark.js
@@ -0,0 +1,90 @@
+/**
+* @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 isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var pkg = require( './../package.json' ).name;
+var atanhf = require( './../lib' );
+
+
+// VARIABLES //
+
+var opts = {
+ 'skip': ( typeof Math.atanh !== 'function' ) // eslint-disable-line stdlib/no-builtin-math
+};
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var opts;
+ var x;
+ var y;
+ var i;
+
+ opts = {
+ 'dtype': 'float32'
+ };
+ x = uniform( 100, -1.0, 1.0, opts );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = atanhf( x[ i % x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
+
+bench( pkg+'::built-in', opts, function benchmark( b ) {
+ var opts;
+ var x;
+ var y;
+ var i;
+
+ opts = {
+ 'dtype': 'float32'
+ };
+ x = uniform( 100, -1.0, 1.0, opts );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = f32( Math.atanh( x[ i % x.length ] ) ); // eslint-disable-line stdlib/no-builtin-math
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..e869ba950de2
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/benchmark.native.js
@@ -0,0 +1,65 @@
+/**
+* @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 isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var atanhf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( atanhf instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+ var opts;
+ var x;
+ var y;
+ var i;
+
+ opts = {
+ 'dtype': 'float32'
+ };
+ x = uniform( 100, -1.0, 1.0, opts );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = atanhf( x[ i % x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/c/Makefile
new file mode 100644
index 000000000000..928de45a1a06
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/c/Makefile
@@ -0,0 +1,127 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+else
+ QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+ CC := $(C_COMPILER)
+else
+ CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+ -std=c99 \
+ -O3 \
+ -Wall \
+ -pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+ fPIC ?=
+else
+ fPIC ?= -fPIC
+endif
+
+# List of C targets:
+c_targets := benchmark.out
+
+
+# RULES #
+
+#/
+# Compiles C source files.
+#
+# @param {string} [C_COMPILER] - C compiler
+# @param {string} [CFLAGS] - C compiler flags
+# @param {(string|void)} [fPIC] - compiler flag indicating whether to generate position independent code
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler
+# @param {string} CFLAGS - C compiler flags
+# @param {(string|void)} fPIC - compiler flag indicating whether to generate position independent code
+#/
+$(c_targets): %.out: %.c
+ $(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $< -lm
+
+#/
+# Runs compiled benchmarks.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+ $(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+ $(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..f69145cb7662
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/c/benchmark.c
@@ -0,0 +1,137 @@
+/**
+* @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
+#include
+#include
+#include
+#include
+
+#define NAME "atanhf"
+#define ITERATIONS 1000000
+#define REPEATS 3
+
+/**
+* Prints the TAP version.
+*/
+static void print_version( void ) {
+ printf( "TAP version 13\n" );
+}
+
+/**
+* Prints the TAP summary.
+*
+* @param total total number of tests
+* @param passing total number of passing tests
+*/
+static void print_summary( int total, int passing ) {
+ printf( "#\n" );
+ printf( "1..%d\n", total ); // TAP plan
+ printf( "# total %d\n", total );
+ printf( "# pass %d\n", passing );
+ printf( "#\n" );
+ printf( "# ok\n" );
+}
+
+/**
+* Prints benchmarks results.
+*
+* @param elapsed elapsed time in seconds
+*/
+static void print_results( double elapsed ) {
+ double rate = (double)ITERATIONS / elapsed;
+ printf( " ---\n" );
+ printf( " iterations: %d\n", ITERATIONS );
+ printf( " elapsed: %0.9f\n", elapsed );
+ printf( " rate: %0.9f\n", rate );
+ printf( " ...\n" );
+}
+
+/**
+* Returns a clock time.
+*
+* @return clock time
+*/
+static double tic( void ) {
+ struct timeval now;
+ gettimeofday( &now, NULL );
+ return (double)now.tv_sec + (double)now.tv_usec/1.0e6;
+}
+
+/**
+* Generates a random number on the interval [min,max).
+*
+* @param min minimum value (inclusive)
+* @param max maximum value (exclusive)
+* @return random number
+*/
+static float random_uniform( const float min, const float max ) {
+ float v = (float)rand() / ( (float)RAND_MAX + 1.0f );
+ return min + ( v*(max-min) );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+ float x[ 100 ];
+ double elapsed;
+ double t;
+ float y;
+ int i;
+
+ for ( i = 0; i < 100; i++ ) {
+ x[ i ] = random_uniform( -1.0f, 1.0f );
+ }
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ y = atanhf( x[ i % 100 ] );
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ }
+ return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+ double elapsed;
+ int i;
+
+ // Use the current time to seed the random number generator:
+ srand( time( NULL ) );
+
+ print_version();
+ for ( i = 0; i < REPEATS; i++ ) {
+ printf( "# c::%s\n", NAME );
+ elapsed = benchmark();
+ print_results( elapsed );
+ printf( "ok %d benchmark finished\n", i+1 );
+ }
+ print_summary( REPEATS, REPEATS );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/c/native/Makefile
new file mode 100644
index 000000000000..979768abbcec
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/c/native/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/math/base/special/atanhf/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/c/native/benchmark.c
new file mode 100644
index 000000000000..cde8641eb5ed
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/benchmark/c/native/benchmark.c
@@ -0,0 +1,138 @@
+/**
+* @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/math/base/special/atanhf.h"
+#include
+#include
+#include
+#include
+#include
+
+#define NAME "atanhf"
+#define ITERATIONS 1000000
+#define REPEATS 3
+
+/**
+* Prints the TAP version.
+*/
+static void print_version( void ) {
+ printf( "TAP version 13\n" );
+}
+
+/**
+* Prints the TAP summary.
+*
+* @param total total number of tests
+* @param passing total number of passing tests
+*/
+static void print_summary( int total, int passing ) {
+ printf( "#\n" );
+ printf( "1..%d\n", total ); // TAP plan
+ printf( "# total %d\n", total );
+ printf( "# pass %d\n", passing );
+ printf( "#\n" );
+ printf( "# ok\n" );
+}
+
+/**
+* Prints benchmarks results.
+*
+* @param elapsed elapsed time in seconds
+*/
+static void print_results( double elapsed ) {
+ double rate = (double)ITERATIONS / elapsed;
+ printf( " ---\n" );
+ printf( " iterations: %d\n", ITERATIONS );
+ printf( " elapsed: %0.9f\n", elapsed );
+ printf( " rate: %0.9f\n", rate );
+ printf( " ...\n" );
+}
+
+/**
+* Returns a clock time.
+*
+* @return clock time
+*/
+static double tic( void ) {
+ struct timeval now;
+ gettimeofday( &now, NULL );
+ return (double)now.tv_sec + (double)now.tv_usec/1.0e6;
+}
+
+/**
+* Generates a random number on the interval [min,max).
+*
+* @param min minimum value (inclusive)
+* @param max maximum value (exclusive)
+* @return random number
+*/
+static float random_uniform( const float min, const float max ) {
+ float v = (float)rand() / ( (float)RAND_MAX + 1.0f );
+ return min + ( v*(max-min) );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+ float x[ 100 ];
+ double elapsed;
+ double t;
+ float y;
+ int i;
+
+ for ( i = 0; i < 100; i++ ) {
+ x[ i ] = random_uniform( -1.0f, 1.0f );
+ }
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ y = stdlib_base_atanhf( x[ i % 100 ] );
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ }
+ return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+ double elapsed;
+ int i;
+
+ // Use the current time to seed the random number generator:
+ srand( time( NULL ) );
+
+ print_version();
+ for ( i = 0; i < REPEATS; i++ ) {
+ printf( "# c::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/math/base/special/atanhf/binding.gyp b/lib/node_modules/@stdlib/math/base/special/atanhf/binding.gyp
new file mode 100644
index 000000000000..0d6508a12e99
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/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/math/base/special/atanhf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/atanhf/docs/repl.txt
new file mode 100644
index 000000000000..73cdd9051105
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/docs/repl.txt
@@ -0,0 +1,32 @@
+
+{{alias}}( x )
+ Computes the hyperbolic arctangent of a single-precision floating-point
+ number.
+
+ If `|x| > 1`, the function returns `NaN`.
+
+ Parameters
+ ----------
+ x: number
+ Input value.
+
+ Returns
+ -------
+ y: number
+ Hyperbolic arctangent.
+
+ Examples
+ --------
+ > var y = {{alias}}( 0.0 )
+ 0.0
+ > y = {{alias}}( 0.9 )
+ ~1.472
+ > y = {{alias}}( 1.0 )
+ Infinity
+ > y = {{alias}}( -1.0 )
+ -Infinity
+ > y = {{alias}}( NaN )
+ NaN
+
+ See Also
+ --------
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/atanhf/docs/types/index.d.ts
new file mode 100644
index 000000000000..0fb5578bf23a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/docs/types/index.d.ts
@@ -0,0 +1,52 @@
+/*
+* @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
+
+/**
+* Computes the hyperbolic arctangent of a single-precision floating-point number.
+*
+* @param x - input value
+* @returns hyperbolic arctangent
+*
+* @example
+* var v = atanhf( 0.0 );
+* // returns 0.0
+*
+* @example
+* var v = atanhf( 0.9 );
+* // returns ~1.472
+*
+* @example
+* var v = atanhf( 1.0 );
+* // returns Infinity
+*
+* @example
+* var v = atanhf( -1.0 );
+* // returns -Infinity
+*
+* @example
+* var v = atanhf( NaN );
+* // returns NaN
+*/
+declare function atanhf( x: number ): number;
+
+
+// EXPORTS //
+
+export = atanhf;
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/atanhf/docs/types/test.ts
new file mode 100644
index 000000000000..7b934e197082
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/docs/types/test.ts
@@ -0,0 +1,44 @@
+/*
+* @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 atanhf = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ atanhf( 8 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+ atanhf( true ); // $ExpectError
+ atanhf( false ); // $ExpectError
+ atanhf( null ); // $ExpectError
+ atanhf( undefined ); // $ExpectError
+ atanhf( '5' ); // $ExpectError
+ atanhf( [] ); // $ExpectError
+ atanhf( {} ); // $ExpectError
+ atanhf( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+ atanhf(); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/atanhf/examples/c/Makefile
new file mode 100644
index 000000000000..c8f8e9a1517b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/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/math/base/special/atanhf/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/atanhf/examples/c/example.c
new file mode 100644
index 000000000000..3e4a263c3abf
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/examples/c/example.c
@@ -0,0 +1,31 @@
+/**
+* @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/math/base/special/atanhf.h"
+#include
+
+int main( void ) {
+ const float x[] = { -1.0f, -0.78f, -0.56f, -0.33f, -0.11f, 0.11f, 0.33f, 0.56f, 0.78f, 1.0f };
+
+ float v;
+ int i;
+ for ( i = 0; i < 10; i++ ) {
+ v = stdlib_base_atanhf( x[ i ] );
+ printf( "atanhf(%f) = %f\n", x[ i ], v );
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/atanhf/examples/index.js
new file mode 100644
index 000000000000..9d37a50d3117
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/examples/index.js
@@ -0,0 +1,29 @@
+/**
+* @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 uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var atanhf = require( './../lib' );
+
+var x = uniform( 100, -1.0, 1.0, {
+ 'dtype': 'float32'
+});
+
+logEachMap( 'atanhf(%0.4f) = %0.4f', x, atanhf );
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/include.gypi b/lib/node_modules/@stdlib/math/base/special/atanhf/include.gypi
new file mode 100644
index 000000000000..bee8d41a2caf
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/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': [
+ ' ONE ) {
+ return NaN;
+ }
+ if ( x === ONE ) {
+ return PINF;
+ }
+ if ( x === NEG_ONE ) {
+ return NINF;
+ }
+ if ( x < ZERO ) {
+ sgn = true;
+ x = f32( -x );
+ }
+ // Case: |x| < 2**-28
+ if ( x < NEAR_ZERO ) {
+ return ( sgn ) ? f32( -x ) : x;
+ }
+ if ( x < HALF ) {
+ t = f32( x + x );
+ t = f32( HALF * log1pf( f32( t + f32( t*f32( x/f32(ONE-x) ) ) ) ) );
+ } else {
+ t = f32( HALF * log1pf( f32( f32(x+x) / f32(ONE-x) ) ) );
+ }
+ return ( sgn ) ? f32( -t ) : t;
+}
+
+
+// EXPORTS //
+
+module.exports = atanhf;
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/lib/native.js b/lib/node_modules/@stdlib/math/base/special/atanhf/lib/native.js
new file mode 100644
index 000000000000..8c8778f72b72
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/lib/native.js
@@ -0,0 +1,62 @@
+/**
+* @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 addon = require( './../src/addon.node' );
+
+
+// MAIN //
+
+/**
+* Computes the hyperbolic arctangent of a single-precision floating-point number.
+*
+* @private
+* @param {number} x - input value
+* @returns {number} hyperbolic arctangent
+*
+* @example
+* var v = atanhf( 0.0 );
+* // returns 0.0
+*
+* @example
+* var v = atanhf( 0.9 );
+* // returns ~1.472
+*
+* @example
+* var v = atanhf( 1.0 );
+* // returns Infinity
+*
+* @example
+* var v = atanhf( -1.0 );
+* // returns -Infinity
+*
+* @example
+* var v = atanhf( NaN );
+* // returns NaN
+*/
+function atanhf( x ) {
+ return addon( x );
+}
+
+
+// EXPORTS //
+
+module.exports = atanhf;
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/manifest.json b/lib/node_modules/@stdlib/math/base/special/atanhf/manifest.json
new file mode 100644
index 000000000000..1de0d6007c56
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/manifest.json
@@ -0,0 +1,81 @@
+{
+ "options": {
+ "task": "build"
+ },
+ "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",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/math/base/napi/unary",
+ "@stdlib/math/base/special/log1pf",
+ "@stdlib/math/base/assert/is-nanf",
+ "@stdlib/constants/float32/pinf",
+ "@stdlib/constants/float32/ninf"
+ ]
+ },
+ {
+ "task": "benchmark",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/math/base/special/log1pf",
+ "@stdlib/math/base/assert/is-nanf",
+ "@stdlib/constants/float32/pinf",
+ "@stdlib/constants/float32/ninf"
+ ]
+ },
+ {
+ "task": "examples",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/math/base/special/log1pf",
+ "@stdlib/math/base/assert/is-nanf",
+ "@stdlib/constants/float32/pinf",
+ "@stdlib/constants/float32/ninf"
+ ]
+ }
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/package.json b/lib/node_modules/@stdlib/math/base/special/atanhf/package.json
new file mode 100644
index 000000000000..689eb475a5f1
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/package.json
@@ -0,0 +1,148 @@
+{
+ "name": "@stdlib/math/base/special/atanhf",
+ "version": "0.0.0",
+ "description": "Compute the hyperbolic arctangent of a single-precision floating-point number.",
+ "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",
+ "stdmath",
+ "mathematics",
+ "math",
+ "atanhf",
+ "hyperbolic",
+ "inverse",
+ "tangent",
+ "tan",
+ "trig",
+ "trigonometry",
+ "radians",
+ "angle",
+ "polyfill",
+ "ponyfill"
+ ],
+ "__stdlib__": {
+ "scaffold": {
+ "$schema": "math/base@v1.0",
+ "base_alias": "atanh",
+ "alias": "atanhf",
+ "pkg_desc": "compute the hyperbolic arctangent of a single-precision floating-point number",
+ "desc": "computes the hyperbolic arctangent of a single-precision floating-point number",
+ "short_desc": "hyperbolic arctangent",
+ "parameters": [
+ {
+ "name": "x",
+ "desc": "input value",
+ "type": {
+ "javascript": "number",
+ "jsdoc": "number",
+ "c": "float",
+ "dtype": "float32"
+ },
+ "domain": [
+ {
+ "min": -1,
+ "max": 1
+ }
+ ],
+ "rand": {
+ "prng": "random/base/uniform",
+ "parameters": [
+ -0.95,
+ 0.95
+ ]
+ },
+ "example_values": [
+ -0.99,
+ 0.72,
+ -0.15,
+ 0.93,
+ -0.61,
+ 0.05,
+ -0.84,
+ 0.31,
+ -0.47,
+ 0.12,
+ -0.72,
+ 0.6,
+ -0.03,
+ 0.89,
+ -0.27,
+ 0,
+ 0.41,
+ -0.66,
+ 0.18,
+ -0.91
+ ]
+ }
+ ],
+ "output_policy": "real_floating_point_and_generic",
+ "returns": {
+ "desc": "hyperbolic arctangent",
+ "type": {
+ "javascript": "number",
+ "jsdoc": "number",
+ "c": "float",
+ "dtype": "float32"
+ }
+ },
+ "keywords": [
+ "atanhf",
+ "hyperbolic",
+ "inverse",
+ "tangent",
+ "tan"
+ ],
+ "extra_keywords": [
+ "math.atanhf"
+ ]
+ }
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/src/Makefile b/lib/node_modules/@stdlib/math/base/special/atanhf/src/Makefile
new file mode 100644
index 000000000000..2caf905cedbe
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/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/math/base/special/atanhf/src/addon.c b/lib/node_modules/@stdlib/math/base/special/atanhf/src/addon.c
new file mode 100644
index 000000000000..e3bd51d8d796
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/src/addon.c
@@ -0,0 +1,22 @@
+/**
+* @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/math/base/special/atanhf.h"
+#include "stdlib/math/base/napi/unary.h"
+
+STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_atanhf )
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/src/main.c b/lib/node_modules/@stdlib/math/base/special/atanhf/src/main.c
new file mode 100644
index 000000000000..9ecce3d448e6
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/src/main.c
@@ -0,0 +1,112 @@
+/**
+* @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.
+*
+*
+* ## Notice
+*
+* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/e_atanhf.c?view=markup}. The implementation follows the original, but has been modified according to project conventions.
+*
+* ```text
+* Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
+*
+* Developed at SunPro, a Sun Microsystems, Inc. business.
+* Permission to use, copy, modify, and distribute this
+* software is freely granted, provided that this notice
+* is preserved.
+* ```
+*/
+
+#include "stdlib/math/base/special/atanhf.h"
+#include "stdlib/math/base/assert/is_nanf.h"
+#include "stdlib/math/base/special/log1pf.h"
+#include "stdlib/constants/float32/pinf.h"
+#include "stdlib/constants/float32/ninf.h"
+#include
+
+static const float NEAR_ZERO = 1.0f / (1 << 28); // 2**-28
+
+/**
+* Computes the hyperbolic arctangent of a single-precision floating-point number.
+*
+* ## Method
+*
+* 1. Reduce \\( x \\) to positive by \\( \operatorname{atanhf}(-x) = -\operatorname{atanhf}(x) \\)
+*
+* 2. For \\( x \ge 0.5 \\), we calculate
+*
+* ```tex
+* \operatorname{atanhf}(x) = \frac{1}{2} \cdot \log\left( 1 + \tfrac{2x}{1-x} \right) = \frac{1}{2} \cdot \operatorname{log1pf}\left( 2 \tfrac{x}{1-x} \right)
+* ```
+*
+* For \\( x < 0.5 \\), we have
+*
+* ```tex
+* \operatorname{atanhf}(x) = \frac{1}{2} \cdot \operatorname{log1pf}\left( 2x + \tfrac{2x^2}{1-x} \right)
+* ```
+*
+* ## Special Cases
+*
+* ```tex
+* \begin{align*}
+* \operatorname{atanhf}(\mathrm{NaN}) &= \mathrm{NaN}\\
+* \operatorname{atanhf}(1.0) &= \infty \\
+* \operatorname{atanhf}(-1.0) &= -\infty \\
+* \end{align*}
+* ```
+*
+* @param x input value
+* @return output value
+*
+* @example
+* float out = stdlib_base_atanhf( 0.0f );
+* // returns 0.0f
+*
+* out = stdlib_base_atanhf( 0.9f );
+* // returns ~1.472f
+*/
+float stdlib_base_atanhf( const float x ) {
+ int32_t sgn;
+ float ax;
+ float t;
+ if ( stdlib_base_is_nanf( x ) || x < -1.0f || x > 1.0f ) {
+ return 0.0f / 0.0f; // NaN
+ }
+ if ( x == 1.0f ) {
+ return STDLIB_CONSTANT_FLOAT32_PINF;
+ }
+ if ( x == -1.0f ) {
+ return STDLIB_CONSTANT_FLOAT32_NINF;
+ }
+ if ( x < 0.0f ) {
+ sgn = 1;
+ ax = -x;
+ } else {
+ sgn = 0;
+ ax = x;
+ }
+ // Case: |x| < 2**-28
+ if ( ax < NEAR_ZERO ) {
+ return ( sgn == 1 ) ? -ax : ax;
+ }
+ if ( ax < 0.5f ) {
+ t = ax + ax;
+ t = 0.5f * stdlib_base_log1pf( t + ( t * ax / ( 1.0f - ax ) ) );
+ } else {
+ t = 0.5f * stdlib_base_log1pf( ( ax + ax ) / ( 1.0f - ax ) );
+ }
+ return ( sgn == 1 ) ? -t : t;
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/REQUIRE
new file mode 100644
index 000000000000..a99ba90dd47d
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.10.10
+JSON 1.3.0
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/negative.json b/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/negative.json
new file mode 100644
index 000000000000..166407ec12dd
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/positive.json b/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/positive.json
new file mode 100644
index 000000000000..7171fb40a2ca
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/runner.jl
new file mode 100755
index 000000000000..6cd37fb3bc7f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/runner.jl
@@ -0,0 +1,78 @@
+#!/usr/bin/env julia
+#
+# @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 JSON
+
+"""
+ gen( domain, name )
+
+Generate fixture data and write to file.
+
+# Arguments
+
+* `domain`: domain
+* `name::AbstractString`: output filename
+
+# Examples
+
+``` julia
+julia> x = range( -0.99, stop = 0.99, length = 2003 );
+julia> gen( x, \"data.json\" );
+```
+"""
+function gen( domain, name )
+ x = collect( Float32.( domain ) );
+ y = Float32.( atanh.( x ) );
+
+ # Store data to be written to file as a collection:
+ data = Dict([
+ ("x", x),
+ ("expected", y)
+ ]);
+
+ # Based on the script directory, create an output filepath:
+ filepath = joinpath( dir, name );
+
+ # Write the data to the output filepath as JSON:
+ outfile = open( filepath, "w" );
+ write( outfile, JSON.json(data) );
+ write( outfile, "\n" );
+ close( outfile );
+end
+
+# Get the filename:
+file = @__FILE__;
+
+# Extract the directory in which this file resides:
+dir = dirname( file );
+
+# Values on interval [-0.99,0.0]:
+x = range( -0.99, stop = 0.0, length = 2003 );
+gen( x, "negative.json" );
+
+# Values on interval [0.0,0.99]:
+x = range( 0.0, stop = 0.99, length = 2003 );
+gen( x, "positive.json" );
+
+# Very small negative values:
+x = range( -1e-32, stop = -1e-45, length = 2003 );
+gen( x, "small_negative.json" );
+
+# Very small positive values:
+x = range( 1e-32, stop = 1e-45, length = 2003 );
+gen( x, "small_positive.json" );
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/small_negative.json b/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/small_negative.json
new file mode 100644
index 000000000000..ab00fe6a57dd
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/small_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/small_positive.json b/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/small_positive.json
new file mode 100644
index 000000000000..031d8791d0ae
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/test/fixtures/julia/small_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/test/test.js b/lib/node_modules/@stdlib/math/base/special/atanhf/test/test.js
new file mode 100644
index 000000000000..7ffc0ace679c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/test/test.js
@@ -0,0 +1,207 @@
+/**
+* @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 abs = require( '@stdlib/math/base/special/abs' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var randu = require( '@stdlib/random/base/randu' );
+var isNegativeZerof = require( '@stdlib/math/base/assert/is-negative-zerof' );
+var isPositiveZerof = require( '@stdlib/math/base/assert/is-positive-zerof' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
+var atanhf = require( './../lib' );
+
+
+// FIXTURES //
+
+var negative = require( './fixtures/julia/negative.json' );
+var positive = require( './fixtures/julia/positive.json' );
+var smallNegative = require( './fixtures/julia/small_negative.json' );
+var smallPositive = require( './fixtures/julia/small_positive.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof atanhf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arctangent (negative values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = negative.x;
+ expected = negative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = atanhf( x[ i ] );
+ e = f32( expected[ i ] );
+ if ( isAlmostSameValue( y, e, 4 ) ) {
+ t.strictEqual( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = abs( y - e );
+ tol = 1.3 * EPS * abs( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arctangent (positive values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = positive.x;
+ expected = positive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = atanhf( x[ i ] );
+ e = f32( expected[ i ] );
+ if ( isAlmostSameValue( y, e, 4 ) ) {
+ t.strictEqual( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = abs( y - e );
+ tol = 1.3 * EPS * abs( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arctangent (small negative)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = smallNegative.x;
+ expected = smallNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = atanhf( x[ i ] );
+ e = f32( expected[ i ] );
+ if ( isAlmostSameValue( y, e, 4 ) ) {
+ t.strictEqual( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = abs( y - e );
+ tol = 1.0 * EPS * abs( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arctangent (small positive)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = smallPositive.x;
+ expected = smallPositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = atanhf( x[i] );
+ e = f32( expected[ i ] );
+ if ( isAlmostSameValue( y, e, 4 ) ) {
+ t.strictEqual( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = abs( y - e );
+ tol = 1.0 * EPS * abs( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function returns `+Infinity` if provided `1.0`', function test( t ) {
+ var v = atanhf( 1.0 );
+ t.strictEqual( v, PINF, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `-Infinity` if provided `-1.0`', function test( t ) {
+ var v = atanhf( -1.0 );
+ t.strictEqual( v, NINF, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a value less than `-1`', function test( t ) {
+ var v;
+ var i;
+
+ for ( i = 0; i < 1e3; i++ ) {
+ v = -( randu() * 1.0e6 ) - ( 1.0 + EPS );
+ t.strictEqual( isnanf( atanhf( v ) ), true, 'returns NaN when provided '+v );
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a value greater than `1`', function test( t ) {
+ var v;
+ var i;
+
+ for ( i = 0; i < 1e3; i++ ) {
+ v = ( randu() * 1.0e6 ) + 1.0 + EPS;
+ t.strictEqual( isnanf( atanhf( v ) ), true, 'returns NaN when provided '+v );
+ }
+ t.end();
+});
+
+tape( 'the function returns `-0` if provided `-0`', function test( t ) {
+ var v = atanhf( -0.0 );
+ t.strictEqual( isNegativeZerof( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `+0` if provided `+0`', function test( t ) {
+ var v = atanhf( 0.0 );
+ t.strictEqual( isPositiveZerof( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', function test( t ) {
+ var v = atanhf( NaN );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/atanhf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/atanhf/test/test.native.js
new file mode 100644
index 000000000000..08b12e9f8b68
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atanhf/test/test.native.js
@@ -0,0 +1,216 @@
+/**
+* @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 abs = require( '@stdlib/math/base/special/abs' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var randu = require( '@stdlib/random/base/randu' );
+var isNegativeZerof = require( '@stdlib/math/base/assert/is-negative-zerof' );
+var isPositiveZerof = require( '@stdlib/math/base/assert/is-positive-zerof' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+
+
+// FIXTURES //
+
+var negative = require( './fixtures/julia/negative.json' );
+var positive = require( './fixtures/julia/positive.json' );
+var smallNegative = require( './fixtures/julia/small_negative.json' );
+var smallPositive = require( './fixtures/julia/small_positive.json' );
+
+
+// VARIABLES //
+
+var atanhf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( atanhf instanceof Error )
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof atanhf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arctangent (negative values)', opts, function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = negative.x;
+ expected = negative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = atanhf( x[ i ] );
+ e = f32( expected[ i ] );
+ if ( isAlmostSameValue( y, e, 4 ) ) {
+ t.strictEqual( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = abs( y - e );
+ tol = 1.3 * EPS * abs( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arctangent (positive values)', opts, function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = positive.x;
+ expected = positive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = atanhf( x[ i ] );
+ e = f32( expected[ i ] );
+ if ( isAlmostSameValue( y, e, 4 ) ) {
+ t.strictEqual( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = abs( y - e );
+ tol = 1.3 * EPS * abs( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arctangent (small negative)', opts, function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = smallNegative.x;
+ expected = smallNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = atanhf( x[ i ] );
+ e = f32( expected[ i ] );
+ if ( isAlmostSameValue( y, e, 4 ) ) {
+ t.strictEqual( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = abs( y - e );
+ tol = 1.0 * EPS * abs( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arctangent (small positive)', opts, function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = smallPositive.x;
+ expected = smallPositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = atanhf( x[i] );
+ e = f32( expected[ i ] );
+ if ( isAlmostSameValue( y, e, 4 ) ) {
+ t.strictEqual( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = abs( y - e );
+ tol = 1.0 * EPS * abs( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function returns `+Infinity` if provided `1.0`', opts, function test( t ) {
+ var v = atanhf( 1.0 );
+ t.strictEqual( v, PINF, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `-Infinity` if provided `-1.0`', opts, function test( t ) {
+ var v = atanhf( -1.0 );
+ t.strictEqual( v, NINF, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a value less than `-1`', opts, function test( t ) {
+ var v;
+ var i;
+
+ for ( i = 0; i < 1e3; i++ ) {
+ v = -( randu() * 1.0e6 ) - ( 1.0 + EPS );
+ t.strictEqual( isnanf( atanhf( v ) ), true, 'returns NaN when provided '+v );
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a value greater than `1`', opts, function test( t ) {
+ var v;
+ var i;
+
+ for ( i = 0; i < 1e3; i++ ) {
+ v = ( randu() * 1.0e6 ) + 1.0 + EPS;
+ t.strictEqual( isnanf( atanhf( v ) ), true, 'returns NaN when provided '+v );
+ }
+ t.end();
+});
+
+tape( 'the function returns `-0` if provided `-0`', opts, function test( t ) {
+ var v = atanhf( -0.0 );
+ t.strictEqual( isNegativeZerof( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `+0` if provided `+0`', opts, function test( t ) {
+ var v = atanhf( 0.0 );
+ t.strictEqual( isPositiveZerof( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) {
+ var v = atanhf( NaN );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});