diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/LICENSE b/lib/node_modules/@stdlib/math/base/special/acoshf/LICENSE
new file mode 100644
index 000000000000..a7566ad6f2c3
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/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.
+
+ "License" shall mean the terms and conditions for use, reproduction,
+ and distribution as defined by Sections 1 through 9 of this document.
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+
+ "You" (or "Your") shall mean an individual or Legal Entity
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+
+ "Work" shall mean the work of authorship, whether in Source or
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+ editorial revisions, annotations, elaborations, or other modifications
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+ the original version of the Work and any modifications or additions
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+ (a) You must give any other recipients of the Work or
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+ (d) If the Work includes a "NOTICE" text file as part of its
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+ You may add Your own copyright statement to Your modifications and
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+ for any such Derivative Works as a whole, provided Your use,
+ reproduction, and distribution of the Work otherwise complies with
+ the conditions stated in this License.
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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
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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
+ implied, including, without limitation, any warranties or conditions
+ 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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+ 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/acoshf/README.md b/lib/node_modules/@stdlib/math/base/special/acoshf/README.md
new file mode 100644
index 000000000000..b4b7bb7d496b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/README.md
@@ -0,0 +1,203 @@
+
+
+# acoshf
+
+> Compute the [hyperbolic arccosine][hyperbolic-arccosine] of a single-precision floating-point number.
+
+
+
+## Usage
+
+```javascript
+var acoshf = require( '@stdlib/math/base/special/acoshf' );
+```
+
+#### acoshf( x )
+
+Computes the [hyperbolic arccosine][hyperbolic-arccosine] of single-precision floating-point number.
+
+```javascript
+var v = acoshf( 1.0 );
+// returns 0.0
+
+v = acoshf( 2.0 );
+// returns ~1.317
+
+v = acoshf( 0.5 );
+// returns NaN
+```
+
+The domain of `x` is restricted to `[1,+infinity)`. If `x < 1`, the function will return `NaN`.
+
+```javascript
+var v = acoshf( 0.0 );
+// returns NaN
+```
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var linspace = require( '@stdlib/array/base/linspace' );
+var acoshf = require( '@stdlib/math/base/special/acoshf' );
+
+var x = linspace( 1.0, 5.0, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+ console.log( acoshf( x[ i ] ) );
+}
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/acoshf.h"
+```
+
+#### stdlib_base_acoshf( x )
+
+Computes the [hyperbolic arccosine][hyperbolic-arccosine] of single-precision floating-point number.
+
+```c
+float out = stdlib_base_acoshf( 1.0f );
+// returns 0.0
+
+out = stdlib_base_acoshf( 2.0f );
+// returns ~1.317
+```
+
+The function accepts the following arguments:
+
+- **x**: `[in] float` input value.
+
+```c
+float stdlib_base_acoshf( const float x );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/acoshf.h"
+#include
+
+int main( void ) {
+ const float x[] = { 1.0f, 1.45f, 1.89f, 2.33f, 2.78f, 3.22f, 3.66f, 4.11f, 4.55f, 5.0f };
+
+ float v;
+ int i;
+ for ( i = 0; i < 10; i++ ) {
+ v = stdlib_base_acoshf( x[ i ] );
+ printf( "acoshf(%f) = %f\n", x[ i ], v );
+ }
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[hyperbolic-arccosine]: https://en.wikipedia.org/wiki/Inverse_hyperbolic_function
+
+
+
+[@stdlib/math/base/special/acos]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/acos
+
+[@stdlib/math/base/special/asinh]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/asinh
+
+[@stdlib/math/base/special/atanh]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/atanh
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/acoshf/benchmark/benchmark.js
new file mode 100644
index 000000000000..dbc78bdb7699
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/benchmark/benchmark.js
@@ -0,0 +1,81 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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 pkg = require( './../package.json' ).name;
+var acoshf = require( './../lib' );
+
+
+// VARIABLES //
+
+var opts = {
+ 'skip': ( typeof Math.acoshf !== 'function' ) // eslint-disable-line stdlib/no-builtin-math
+};
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = uniform( 100, 1.0, 100.0 );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = acoshf( 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 x;
+ var y;
+ var i;
+
+ x = uniform( 100, 1.0, 100.0 );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = Math.acoshf( 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/acoshf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/acoshf/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..947027cd9f1b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/benchmark/benchmark.native.js
@@ -0,0 +1,61 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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 acoshf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( acoshf instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = uniform( 100, 1.0, 100.0 );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = acoshf( 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/acoshf/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/acoshf/benchmark/c/Makefile
new file mode 100644
index 000000000000..d564e8b2d6f9
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/benchmark/c/Makefile
@@ -0,0 +1,127 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# 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/acoshf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/acoshf/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..cf6c093ef5f0
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/benchmark/c/benchmark.c
@@ -0,0 +1,135 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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 "acoshf"
+#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 ) {
+ double elapsed;
+ float x[ 100 ];
+ double t;
+ float y;
+ int i;
+
+ for ( i = 0; i < 100; i++ ) {
+ x[ i ] = ( 100.0f*rand_float() ) + 1.0f;
+ }
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ y = acoshf( 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/acoshf/binding.gyp b/lib/node_modules/@stdlib/math/base/special/acoshf/binding.gyp
new file mode 100644
index 000000000000..1058b57bab16
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/binding.gyp
@@ -0,0 +1,170 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2022 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/acoshf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/acoshf/docs/repl.txt
new file mode 100644
index 000000000000..f1afffba9abe
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/docs/repl.txt
@@ -0,0 +1,29 @@
+
+{{alias}}( x )
+ Computes the hyperbolic arccosine of a single-precision floating-point
+ number.
+
+ If `x < 1`, the function returns `NaN`.
+
+ Parameters
+ ----------
+ x: number
+ Input value.
+
+ Returns
+ -------
+ y: number
+ Hyperbolic arccosine.
+
+ Examples
+ --------
+ > var y = {{alias}}( 1.0 )
+ 0.0
+ > y = {{alias}}( 2.0 )
+ ~1.317
+ > y = {{alias}}( NaN )
+ NaN
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/acoshf/docs/types/index.d.ts
new file mode 100644
index 000000000000..d3d8bf918174
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/docs/types/index.d.ts
@@ -0,0 +1,44 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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 arccosine of a single-precision floating-point number.
+*
+* @param x - input value
+* @returns hyperbolic arccosine
+*
+* @example
+* var v = acoshf( 1.0 );
+* // returns 0.0
+*
+* @example
+* var v = acoshf( 2.0 );
+* // returns ~1.317
+*
+* @example
+* var v = acoshf( NaN );
+* // returns NaN
+*/
+declare function acoshf( x: number ): number;
+
+
+// EXPORTS //
+
+export = acoshf;
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/acoshf/docs/types/test.ts
new file mode 100644
index 000000000000..cc50cc954cf7
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/docs/types/test.ts
@@ -0,0 +1,44 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2019 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 acoshf = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ acoshf( 8 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+ acoshf( true ); // $ExpectError
+ acoshf( false ); // $ExpectError
+ acoshf( null ); // $ExpectError
+ acoshf( undefined ); // $ExpectError
+ acoshf( '5' ); // $ExpectError
+ acoshf( [] ); // $ExpectError
+ acoshf( {} ); // $ExpectError
+ acoshf( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+ acoshf(); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/acoshf/examples/c/Makefile
new file mode 100644
index 000000000000..25ced822f96a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/examples/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# 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/acoshf/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/acoshf/examples/c/example.c
new file mode 100644
index 000000000000..14733779c4da
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/examples/c/example.c
@@ -0,0 +1,31 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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/acoshf.h"
+#include
+
+int main( void ) {
+ const float x[] = { 1.0f, 1.45f, 1.89f, 2.33f, 2.78f, 3.22f, 3.66f, 4.11f, 4.55f, 5.0f };
+
+ float v;
+ int i;
+ for ( i = 0; i < 10; i++ ) {
+ v = stdlib_base_acoshf( x[ i ] );
+ printf( "acoshf(%f) = %f\n", x[ i ], v );
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/acoshf/examples/index.js
new file mode 100644
index 000000000000..1c55bb9e929d
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/examples/index.js
@@ -0,0 +1,29 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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 linspace = require( '@stdlib/array/base/linspace' );
+var acoshf = require( './../lib' );
+
+var x = linspace( 1.0, 5.0, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+ console.log( 'acoshf( %d ) = %d', x[ i ], acoshf( x[ i ] ) );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/include.gypi b/lib/node_modules/@stdlib/math/base/special/acoshf/include.gypi
new file mode 100644
index 000000000000..3b437d524797
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/include.gypi
@@ -0,0 +1,53 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2022 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': [
+ ' 2 \\
+* \operatorname{log1pf}\left( x - 1 + \sqrtf{ 2 \cdot (x-1) + (x-1)^2 } \right) & \text{ otherwise }
+* \end{cases}
+* ```
+*
+* ## Special Cases
+*
+* ```tex
+* \begin{align*}
+* \operatorname{acoshf}(x) &= \mathrm{NaN}\ \text{ if } x < 1 \\
+* \end{align*}
+* ```
+*
+* @param {number} x - input value
+* @returns {number} hyperbolic arccosine
+*
+* @example
+* var v = acoshf( 1.0 );
+* // returns 0.0
+*
+* @example
+* var v = acoshf( 2.0 );
+* // returns ~1.317
+*
+* @example
+* var v = acoshf( NaN );
+* // returns NaN
+*/
+function acoshf( x ) {
+ var t;
+ if ( isnanf( x ) || x < 1.0 ) {
+ return NaN;
+ }
+ if ( x === 1.0 ) {
+ return 0.0;
+ }
+ if ( x >= HUGE ) {
+ return lnf( x ) + FLOAT32_LN2;
+ }
+ if ( x > 2.0 ) {
+ return lnf( (2.0*x) - ( 1.0 / ( x + sqrtf( (x*x) - 1.0 ) ) ) );
+ }
+ // Case: 2 >= x > 1
+ t = x - 1.0;
+ return log1pf( t + sqrtf( (2.0*t) + (t*t) ) );
+}
+
+
+// EXPORTS //
+
+module.exports = acoshf;
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/lib/native.js b/lib/node_modules/@stdlib/math/base/special/acoshf/lib/native.js
new file mode 100644
index 000000000000..53bc23df6217
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/lib/native.js
@@ -0,0 +1,54 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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 //
+
+/**
+* Compute the hyperbolic arccosine of a single-precision floating-point number.
+*
+* @private
+* @param {number} x - input value
+* @returns {number} hyperbolic arccosine
+*
+* @example
+* var v = acoshf( 1.0 );
+* // returns 0.0
+*
+* @example
+* var v = acoshf( 2.0 );
+* // returns ~1.317
+*
+* @example
+* var v = acoshf( NaN );
+* // returns NaN
+*/
+function acoshf( x ) {
+ return addon( x );
+}
+
+
+// EXPORTS //
+
+module.exports = acoshf;
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/manifest.json b/lib/node_modules/@stdlib/math/base/special/acoshf/manifest.json
new file mode 100644
index 000000000000..f5deb85936f0
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/manifest.json
@@ -0,0 +1,84 @@
+{
+ "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/assert/is-nanf",
+ "@stdlib/math/base/special/log1pf",
+ "@stdlib/math/base/special/sqrtf",
+ "@stdlib/math/base/special/lnf",
+ "@stdlib/constants/float32/ln-two"
+ ]
+ },
+ {
+ "task": "benchmark",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/math/base/assert/is-nanf",
+ "@stdlib/math/base/special/log1pf",
+ "@stdlib/math/base/special/sqrtf",
+ "@stdlib/math/base/special/lnf",
+ "@stdlib/constants/float32/ln-two"
+ ]
+ },
+ {
+ "task": "examples",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/math/base/assert/is-nanf",
+ "@stdlib/math/base/special/log1pf",
+ "@stdlib/math/base/special/sqrtf",
+ "@stdlib/math/base/special/lnf",
+ "@stdlib/constants/float32/ln-two"
+ ]
+ }
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/package.json b/lib/node_modules/@stdlib/math/base/special/acoshf/package.json
new file mode 100644
index 000000000000..c8ca692da9dd
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/package.json
@@ -0,0 +1,77 @@
+{
+ "name": "@stdlib/math/base/special/acoshf",
+ "version": "0.0.0",
+ "description": "Compute the hyperbolic arccosine 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",
+ "scripts": "./scripts",
+ "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",
+ "math.acosh",
+ "math.acoshf",
+ "acosh",
+ "acoshf",
+ "hyperbolic",
+ "inverse",
+ "cosine",
+ "cos",
+ "arc",
+ "arccosine",
+ "trig",
+ "trigonometry",
+ "radians",
+ "angle",
+ "polyfill",
+ "ponyfill"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/src/Makefile b/lib/node_modules/@stdlib/math/base/special/acoshf/src/Makefile
new file mode 100644
index 000000000000..6268192a343f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/src/Makefile
@@ -0,0 +1,71 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# 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/acoshf/src/addon.c b/lib/node_modules/@stdlib/math/base/special/acoshf/src/addon.c
new file mode 100644
index 000000000000..507e04d3d0a3
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/src/addon.c
@@ -0,0 +1,23 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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/acoshf.h"
+#include "stdlib/math/base/napi/unary.h"
+
+// cppcheck-suppress shadowFunction
+STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_acoshf )
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/src/main.c b/lib/node_modules/@stdlib/math/base/special/acoshf/src/main.c
new file mode 100644
index 000000000000..5127dc1c00dd
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/src/main.c
@@ -0,0 +1,96 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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_acoshf.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/acoshf.h"
+#include "stdlib/math/base/assert/is_nanf.h"
+#include "stdlib/math/base/special/log1pf.h"
+#include "stdlib/math/base/special/sqrtf.h"
+#include "stdlib/math/base/special/lnf.h"
+#include "stdlib/constants/float32/ln_two.h"
+#include
+
+static const float HUGE = 1 << 28; // 2**28
+
+/**
+* Computes the hyperbolic arccosine of single-precision floating-point number.
+*
+* ## Method
+*
+* Based on
+*
+* ```tex
+* \operatorname{acoshf}(x) = \logf \left[ x + \sqrtf{ x^2 - 1 } \right]
+* ```
+*
+* we have
+*
+* ```tex
+* \operatorname{acoshf}(x) = \begin{cases}
+* \logf(x) + \tfrac{\lnf}{2} & \text{ if x is large } \\
+* \logf \left( 2x-\tfrac{1}{\sqrtf{x^2-1}+x} \right) & \text{ if } x > 2 \\
+* \operatorname{log1pf}\left( x - 1 + \sqrtf{ 2 \cdotf (x-1) + (x-1)^2 } \right) & \text{ otherwise }
+* \end{cases}
+* ```
+*
+* ## Special Cases
+*
+* ```tex
+* \begin{align*}
+* \operatorname{acoshf}(x) &= \mathrm{NaN}\ \text{ if } x < 1 \\
+* \end{align*}
+* ```
+*
+* @param x input value
+* @return output value
+*
+* @example
+* float out = stdlib_base_acoshf( 1.0f );
+* // returns 0.0f
+*/
+float stdlib_base_acoshf( const float x ) {
+ float t;
+ if ( stdlib_base_is_nanf( x ) || x < 1.0 ) {
+ return 0.0 / 0.0; // NaN
+ }
+ if ( x == 1.0 ) {
+ return 0.0;
+ }
+ if ( x >= HUGE ) {
+ return stdlib_base_lnf( x ) + STDLIB_CONSTANT_FLOAT32_LN2;
+ }
+ if ( x > 2.0 ) {
+ return stdlib_base_lnf( ( 2.0 * x ) - ( 1.0 / ( x + stdlib_base_sqrtf( ( x * x ) - 1.0 ) ) ) );
+ }
+ // Case: 2 >= x > 1
+ t = x - 1.0;
+ return stdlib_base_log1pf( t + stdlib_base_sqrtf( ( 2.0 * t ) + ( t * t ) ) );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/REQUIRE
new file mode 100644
index 000000000000..308c3be89c85
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/large_positive.json
new file mode 100644
index 000000000000..10310424bba7
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/large_positive.json
@@ -0,0 +1 @@
+{"expected":[1.7627472,1.780296,1.7975248,1.8144456,1.8310698,1.847408,1.8634706,1.8792667,1.8948057,1.910096,1.925146,1.9399632,1.9545552,1.9689287,1.9830906,1.9970473,2.0108047,2.0243688,2.0377448,2.0509384,2.0639544,2.0767977,2.089473,2.101985,2.1143377,2.1265352,2.1385813,2.1504803,2.1622355,2.1738505,2.1853287,2.1966734,2.2078876,2.2189744,2.2299368,2.2407777,2.2514994,2.2621052,2.272597,2.2829776,2.2932494,2.3034146,2.3134756,2.3234344,2.333293,2.3430536,2.352718,2.3622885,2.3717663,2.3811538,2.3904524,2.399664,2.4087899,2.4178321,2.4267921,2.435671,2.444471,2.4531927,2.461838,2.4704082,2.4789045,2.487328,2.4956806,2.5039628,2.5121758,2.5203214,2.5284004,2.5364134,2.5443623,2.5522475,2.5600705,2.5678318,2.5755327,2.5831742,2.590757,2.598282,2.6057503,2.6131628,2.6205199,2.6278229,2.6350722,2.642269,2.6494136,2.656507,2.6635501,2.6705434,2.6774879,2.6843839,2.6912322,2.6980333,2.7047884,2.7114975,2.7181616,2.7247813,2.7313569,2.7378893,2.744379,2.7508264,2.7572322,2.7635968,2.769921,2.776205,2.7824497,2.788655,2.794822,2.8009508,2.8070421,2.813096,2.8191135,2.8250947,2.83104,2.8369498,2.842825,2.8486652,2.8544717,2.8602443,2.8659835,2.8716898,2.8773632,2.883005,2.8886144,2.8941925,2.8997395,2.9052558,2.9107416,2.916197,2.921623,2.9270194,2.9323866,2.9377253,2.9430351,2.948317,2.9535708,2.958797,2.963996,2.969168,2.974313,2.9794319,2.9845243,2.989591,2.9946318,2.9996471,3.0046375,3.009603,3.0145438,3.01946,3.0243523,3.0292206,3.034065,3.038886,3.043684,3.0484588,3.053211,3.0579405,3.0626476,3.0673325,3.0719955,3.0766368,3.0812566,3.085855,3.0904324,3.0949888,3.0995243,3.1040392,3.108534,3.1130085,3.1174629,3.1218977,3.1263125,3.1307082,3.1350844,3.1394413,3.1437793,3.1480985,3.1523993,3.1566813,3.1609452,3.165191,3.1694183,3.1736283,3.1778202,3.181995,3.186152,3.1902916,3.1944144,3.1985202,3.202609,3.206681,3.2107368,3.2147758,3.2187989,3.2228055,3.2267962,3.2307708,3.2347298,3.238673,3.2426007,3.2465131,3.25041,3.254292,3.258159,3.2620108,3.265848,3.2696702,3.273478,3.2772713,3.2810502,3.2848148,3.2885652,3.2923014,3.296024,3.2997327,3.3034275,3.3071089,3.3107765,3.3144307,3.3180716,3.3216994,3.3253138,3.3289154,3.332504,3.3360796,3.3396425,3.3431928,3.3467302,3.3502555,3.353768,3.3572686,3.3607566,3.3642328,3.3676965,3.3711486,3.3745885,3.3780167,3.3814332,3.3848379,3.3882313,3.391613,3.3949833,3.3983421,3.4016898,3.4050264,3.4083517,3.4116662,3.4149694,3.418262,3.4215436,3.4248145,3.4280746,3.4313242,3.4345632,3.4377918,3.44101,3.4442177,3.447415,3.4506025,3.4537797,3.4569466,3.4601038,3.4632509,3.466388,3.4695153,3.472633,3.475741,3.4788392,3.4819279,3.4850068,3.4880764,3.4911368,3.4941878,3.4972293,3.5002618,3.503285,3.506299,3.5093038,3.5122998,3.515287,3.518265,3.521234,3.5241945,3.527146,3.5300891,3.5330234,3.535949,3.5388663,3.541775,3.544675,3.5475671,3.5504503,3.5533257,3.5561924,3.5590513,3.5619018,3.5647442,3.5675786,3.5704048,3.573223,3.5760336,3.578836,3.5816307,3.5844176,3.5871968,3.5899682,3.592732,3.595488,3.5982366,3.6009774,3.603711,3.606437,3.6091557,3.6118667,3.6145706,3.6172671,3.6199565,3.6226385,3.6253133,3.6279812,3.6306417,3.6332953,3.635942,3.6385815,3.641214,3.6438396,3.6464584,3.6490703,3.6516755,3.6542737,3.6568654,3.6594503,3.6620283,3.6646,3.667165,3.6697235,3.6722753,3.6748207,3.6773593,3.6798918,3.6824179,3.6849377,3.687451,3.6899579,3.6924586,3.6949532,3.6974413,3.6999235,3.7023995,3.7048693,3.707333,3.7097907,3.7122424,3.7146878,3.7171276,3.7195613,3.7219892,3.724411,3.7268271,3.7292373,3.7316418,3.7340403,3.7364333,3.7388206,3.7412019,3.7435777,3.7459478,3.7483125,3.7506714,3.753025,3.7553728,3.7577152,3.7600522,3.7623837,3.7647097,3.7670302,3.7693455,3.7716553,3.7739599,3.7762592,3.7785532,3.7808418,3.7831254,3.7854037,3.7876768,3.7899446,3.7922077,3.7944653,3.796718,3.7989655,3.8012078,3.8034453,3.805678,3.8079052,3.8101277,3.8123455,3.814558,3.816766,3.8189688,3.821167,3.8233602,3.8255486,3.8277323,3.8299112,3.8320854,3.8342547,3.8364196,3.8385797,3.840735,3.8428857,3.845032,3.8471735,3.8493104,3.8514428,3.8535707,3.855694,3.857813,3.8599272,3.8620372,3.8641424,3.8662436,3.86834,3.8704324,3.8725202,3.8746037,3.8766828,3.8787577,3.8808281,3.8828945,3.8849564,3.8870142,3.8890676,3.891117,3.893162,3.8952029,3.8972397,3.8992724,3.901301,3.9033253,3.9053457,3.9073617,3.909374,3.9113822,3.913386,3.9153862,3.9173822,3.9193745,3.9213626,3.9233468,3.925327,3.9273033,3.9292758,3.9312444,3.933209,3.9351697,3.9371269,3.93908,3.9410293,3.9429748,3.9449167,3.9468546,3.948789,3.9507194,3.9526463,3.9545693,3.9564886,3.9584043,3.9603164,3.962225,3.9641297,3.9660308,3.9679282,3.9698222,3.9717126,3.9735994,3.9754825,3.9773622,3.9792385,3.981111,3.9829803,3.9848456,3.986708,3.9885666,3.9904218,3.9922736,3.994122,3.9959671,3.9978087,3.999647,4.0014815,4.003313,4.0051413,4.006966,4.0087876,4.0106053,4.01242,4.0142317,4.0160403,4.017845,4.0196466,4.0214453,4.0232406,4.0250325],"x":[3.0,3.0501,3.1002004,3.1503005,3.2004008,3.250501,3.3006012,3.3507013,3.4008017,3.4509017,3.501002,3.551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diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/larger_positive.json b/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/larger_positive.json
new file mode 100644
index 000000000000..bbf0b192595c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/larger_positive.json
@@ -0,0 +1 @@
+{"expected":[4.0250325,4.0301757,4.0352926,4.0403833,4.0454483,4.050488,4.055502,4.060491,4.0654554,4.0703955,4.075311,4.0802026,4.08507,4.0899143,4.0947347,4.0995326,4.104307,4.109059,4.113788,4.1184955,4.1231804,4.127844,4.1324854,4.1371055,4.1417046,4.146282,4.1508393,4.1553755,4.159891,4.1643867,4.168862,4.1733174,4.177753,4.182169,4.1865654,4.190943,4.195301,4.1996403,4.203961,4.208263,4.2125463,4.2168117,4.221059,4.225288,4.2294993,4.233693,4.2378693,4.2420278,4.2461696,4.2502937,4.2544017,4.258492,4.262566,4.2666235,4.2706647,4.2746897,4.2786984,4.282691,4.286668,4.290629,4.2945743,4.298504,4.302418,4.306318,4.3102016,4.3140707,4.317925,4.3217645,4.3255887,4.329399,4.3331947,4.3369756,4.3407426,4.3444953,4.348234,4.351959,4.35567,4.3593674,4.3630514,4.366721,4.370378,4.3740215,4.3776517,4.381269,4.384873,4.388464,4.392042,4.3956075,4.3991604,4.4027004,4.406228,4.4097433,4.4132466,4.416737,4.4202156,4.423682,4.427137,4.4305797,4.4340105,4.4374294,4.440837,4.444233,4.4476175,4.45099,4.454352,4.457702,4.4610415,4.4643693,4.4676867,4.4709926,4.4742875,4.477572,4.4808455,4.4841084,4.487361,4.4906025,4.493834,4.4970546,4.500265,4.503465,4.506655,4.5098352,4.513005,4.516165,4.519315,4.5224543,4.5255847,4.5287046,4.5318155,4.5349164,4.5380077,4.5410895,4.5441623,4.547225,4.5502787,4.553323,4.556358,4.559384,4.5624003,4.565408,4.568407,4.5713964,4.5743775,4.577349,4.5803123,4.5832667,4.586212,4.5891495,4.5920777,4.5949974,4.597909,4.600812,4.6037064,4.606592,4.6094704,4.61234,4.615201,4.6180544,4.620899,4.6237364,4.6265655,4.6293864,4.6321993,4.6350045,4.6378016,4.640591,4.643373,4.646147,4.6489134,4.651672,4.654423,4.6571665,4.6599026,4.6626315,4.6653523,4.668066,4.6707726,4.673472,4.6761637,4.6788483,4.6815257,4.684196,4.686859,4.689515,4.6921644,4.6948066,4.6974416,4.70007,4.702691,4.7053056,4.707913,4.7105136,4.713108,4.7156954,4.718276,4.72085,4.7234173,4.7259784,4.728533,4.7310805,4.7336216,4.7361565,4.738685,4.741207,4.743723,4.7462325,4.7487354,4.7512326,4.753723,4.7562075,4.758686,4.7611585,4.763624,4.766084,4.7685385,4.7709866,4.7734284,4.7758646,4.7782946,4.780719,4.7831373,4.78555,4.7879567,4.7903576,4.7927527,4.795142,4.7975264,4.7999043,4.8022766,4.8046436,4.807005,4.8093605,4.811711,4.8140554,4.816395,4.8187284,4.821057,4.8233795,4.825697,4.828009,4.830316,4.8326173,4.8349137,4.8372045,4.8394904,4.8417706,4.844046,4.8463163,4.8485813,4.850841,4.853096,4.8553457,4.85759,4.85983,4.862065,4.864294,4.866519,4.8687387,4.8709536,4.8731637,4.8753686,4.8775687,4.879764,4.8819547,4.8841405,4.8863215,4.888498,4.8906693,4.892836,4.8949986,4.897156,4.8993087,4.901457,4.9036,4.9057393,4.907874,4.9100037,4.912129,4.91425,4.9163666,4.9184785,4.9205856,4.922689,4.9247875,4.926882,4.9289713,4.931057,4.933138,4.935215,4.9372873,4.939356,4.9414196,4.9434795,4.9455347,4.947586,4.949633,4.951676,4.953715,4.955749,4.95778,4.959806,4.961828,4.963846,4.9658604,4.96787,4.9698763,4.9718785,4.9738765,4.97587,4.9778605,4.9798465,4.9818287,4.9838066,4.985781,4.9877515,4.989718,4.9916806,4.9936395,4.9955945,4.9975457,4.999493,5.0014367,5.0033765,5.0053124,5.007245,5.0091734,5.0110984,5.0130196,5.014937,5.016851,5.018761,5.0206676,5.0225706,5.02447,5.0263658,5.028258,5.0301466,5.032031,5.0339127,5.0357904,5.037665,5.039536,5.0414033,5.0432673,5.0451274,5.0469847,5.048838,5.0506883,5.052535,5.054378,5.056218,5.0580544,5.059888,5.0617175,5.063544,5.0653667,5.067187,5.069003,5.0708165,5.0726266,5.074433,5.0762362,5.078037,5.0798335,5.0816274,5.0834174,5.0852046,5.086989,5.08877,5.0905476,5.0923223,5.094094,5.095862,5.097627,5.099389,5.101148,5.102904,5.1046567,5.1064067,5.1081533,5.1098967,5.1116376,5.113375,5.1151094,5.1168413,5.11857,5.1202955,5.122018,5.123738,5.1254544,5.127168,5.128879,5.1305866,5.132292,5.133994,5.135693,5.137389,5.139083,5.1407733,5.1424613,5.144146,5.1458282,5.147507,5.1491838,5.1508574,5.1525283,5.1541963,5.1558614,5.1575236,5.1591835,5.1608405,5.1624947,5.164146,5.165795,5.167441,5.1690845,5.170725,5.172363,5.1739984,5.175631,5.177261,5.178888,5.1805124,5.1821346,5.183754,5.185371,5.186985,5.1885967,5.1902056,5.191812,5.1934156,5.195017,5.1966157,5.1982117,5.1998053,5.2013965,5.202985,5.204571,5.2061543,5.2077355,5.209314,5.21089,5.2124634,5.2140346,5.215603,5.2171693,5.218733,5.220294,5.221853,5.223409,5.224963,5.226515,5.228064,5.2296104,5.231155,5.232697,5.2342367,5.235774,5.237309,5.238841,5.240371,5.2418995,5.243425,5.244948,5.246469,5.2479873,5.2495036,5.2510176,5.252529,5.254039,5.2555456,5.2570505,5.258553,5.2600536,5.2615514,5.2630477,5.264541,5.2660327,5.267522,5.2690086,5.2704935,5.271976,5.273456,5.2749343,5.27641,5.277884,5.2793555,5.280825,5.2822924,5.2837577,5.2852206,5.2866817,5.2881403,5.289597,5.2910514,5.292504,5.293954,5.295402,5.2968483,5.298292],"x":[28.0,28.144289,28.288578,28.432865,28.577154,28.721443,28.865732,29.01002,29.154308,29.298597,29.442886,29.587173,29.731462,29.875751,30.02004,30.16433,30.308617,30.452906,30.597195,30.741484,30.88577,31.03006,31.174349,31.318638,31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diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/medium_positive.json b/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/medium_positive.json
new file mode 100644
index 000000000000..685c57433c35
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/medium_positive.json
@@ -0,0 +1 @@
+{"expected":[0.0,0.08950285,0.12653303,0.1549195,0.1788264,0.19986723,0.21887128,0.23632997,0.25256357,0.26779595,0.28218886,0.29586455,0.3089191,0.32142788,0.33345202,0.34504288,0.3562425,0.3670864,0.37760592,0.38782716,0.39777318,0.40746388,0.41691762,0.42615002,0.43517488,0.44400537,0.45265272,0.461127,0.46943805,0.47759426,0.48560318,0.4934725,0.50120854,0.50881726,0.51630473,0.5236759,0.5309356,0.53808856,0.54513896,0.5520905,0.5589473,0.5657127,0.5723896,0.57898164,0.5854914,0.59192157,0.59827495,0.6045539,0.61076057,0.6168974,0.62296647,0.62896943,0.6349086,0.64078563,0.64660203,0.6523598,0.65806025,0.6637048,0.6692952,0.67483264,0.6803184,0.68575364,0.6911398,0.696478,0.7017692,0.7070145,0.7122152,0.71737176,0.7224858,0.7275578,0.7325886,0.7375793,0.74253064,0.7474433,0.7523184,0.7571563,0.76195776,0.7667238,0.7714549,0.7761514,0.78081447,0.7854445,0.7900419,0.7946076,0.79914194,0.8036454,0.8081187,0.8125623,0.81697655,0.82136214,0.8257195,0.83004886,0.834351,0.8386262,0.8428748,0.84709746,0.85129434,0.8554659,0.8596124,0.86373454,0.8678325,0.8719064,0.87595695,0.8799843,0.8839888,0.8879709,0.89193076,0.8958686,0.899785,0.90368015,0.9075541,0.9114074,0.9152403,0.91905284,0.92284566,0.9266187,0.93037224,0.9341067,0.9378222,0.9415189,0.9451973,0.94885737,0.9524993,0.95612353,0.95973015,0.9633193,0.96689135,0.9704464,0.97398454,0.97750616,0.98101145,0.98450035,0.9879733,0.9914304,0.9948717,0.9982975,1.001708,1.0051033,1.0084835,1.011849,1.0151997,1.0185357,1.0218575,1.0251651,1.0284584,1.0317377,1.0350033,1.0382551,1.0414935,1.0447184,1.04793,1.0511285,1.054314,1.0574864,1.0606463,1.0637934,1.0669279,1.0700501,1.07316,1.0762577,1.0793433,1.082417,1.0854788,1.0885289,1.0915673,1.0945941,1.0976096,1.1006138,1.1036067,1.1065885,1.1095592,1.112519,1.1154679,1.1184062,1.1213338,1.1242507,1.1271572,1.1300534,1.1329392,1.1358148,1.1386802,1.1415355,1.144381,1.1472166,1.1500423,1.1528584,1.1556647,1.1584615,1.1612488,1.1640265,1.166795,1.1695542,1.1723043,1.1750451,1.1777769,1.1804998,1.1832136,1.1859187,1.188615,1.1913023,1.1939812,1.1966515,1.1993132,1.2019664,1.2046112,1.2072476,1.2098758,1.2124958,1.2151076,1.2177112,1.2203069,1.2228943,1.2254741,1.2280458,1.2306098,1.233166,1.2357144,1.2382553,1.2407883,1.2433139,1.2458321,1.2483426,1.2508459,1.2533417,1.2558302,1.2583115,1.2607856,1.2632524,1.2657123,1.2681649,1.2706105,1.2730492,1.2754809,1.2779057,1.2803236,1.2827349,1.2851393,1.287537,1.289928,1.2923124,1.2946901,1.2970614,1.2994261,1.3017844,1.3041362,1.3064816,1.3088207,1.3111534,1.3134799,1.3158001,1.318114,1.3204219,1.3227237,1.3250194,1.327309,1.3295926,1.3318701,1.3341417,1.3364075,1.3386674,1.3409214,1.3431696,1.3454119,1.3476486,1.3498795,1.3521049,1.3543245,1.3565385,1.3587469,1.3609496,1.363147,1.3653389,1.3675255,1.3697064,1.371882,1.374052,1.3762169,1.3783765,1.3805307,1.3826798,1.3848236,1.386962,1.3890954,1.3912238,1.393347,1.395465,1.3975781,1.3996859,1.401789,1.4038869,1.40598,1.4080681,1.4101514,1.4122295,1.4143031,1.4163716,1.4184355,1.4204947,1.4225489,1.4245985,1.4266433,1.4286835,1.4307189,1.4327499,1.4347762,1.4367979,1.4388149,1.4408275,1.4428356,1.4448391,1.4468383,1.4488329,1.450823,1.4528087,1.4547902,1.4567672,1.4587399,1.4607083,1.4626722,1.464632,1.4665875,1.4685388,1.4704859,1.4724287,1.4743673,1.4763017,1.478232,1.4801582,1.4820803,1.4839983,1.4859122,1.487822,1.489728,1.4916298,1.4935278,1.4954215,1.4973114,1.4991974,1.5010794,1.5029576,1.5048319,1.5067023,1.5085688,1.5104314,1.5122904,1.5141455,1.5159967,1.5178443,1.5196881,1.521528,1.5233644,1.525197,1.5270259,1.5288513,1.5306729,1.5324907,1.5343052,1.536116,1.5379232,1.5397267,1.5415268,1.5433233,1.5451163,1.5469056,1.5486916,1.5504742,1.552253,1.5540285,1.5558007,1.5575694,1.5593346,1.5610965,1.562855,1.56461,1.5663618,1.5681102,1.5698553,1.5715971,1.5733356,1.5750706,1.5768026,1.5785313,1.5802567,1.5819788,1.5836978,1.5854136,1.587126,1.5888354,1.5905416,1.5922446,1.5939445,1.5956413,1.5973347,1.5990252,1.6007128,1.6023971,1.6040784,1.6057566,1.6074317,1.6091038,1.610773,1.612439,1.6141021,1.6157622,1.6174194,1.6190735,1.6207247,1.622373,1.6240183,1.6256608,1.6273001,1.6289368,1.6305705,1.6322013,1.6338294,1.6354544,1.6370766,1.6386962,1.6403128,1.6419265,1.6435375,1.6451458,1.646751,1.6483538,1.6499536,1.6515508,1.6531453,1.654737,1.6563259,1.657912,1.6594956,1.6610765,1.6626546,1.6642301,1.665803,1.6673731,1.6689407,1.6705055,1.6720679,1.6736275,1.6751846,1.676739,1.6782908,1.6798402,1.6813868,1.6829311,1.6844727,1.6860117,1.6875483,1.6890823,1.6906137,1.6921428,1.6936693,1.6951933,1.6967148,1.6982338,1.6997504,1.7012646,1.7027763,1.7042855,1.7057923,1.7072967,1.7087988,1.7102983,1.7117954,1.7132903,1.7147827,1.7162727,1.7177604,1.7192458,1.7207288,1.7222093,1.7236875,1.7251636,1.7266372,1.7281086,1.7295777,1.7310444,1.7325088,1.733971,1.7354308,1.7368885,1.738344,1.7397971,1.7412479,1.7426966,1.744143,1.7455872,1.7470293,1.7484691,1.7499067,1.751342,1.7527753,1.7542063,1.7556353,1.7570618,1.7584864,1.7599088,1.761329,1.7627472],"x":[1.0,1.004008,1.008016,1.012024,1.0160321,1.02004,1.0240481,1.0280561,1.0320641,1.0360721,1.0400802,1.0440881,1.0480962,1.0521042,1.0561122,1.0601202,1.0641283,1.0681362,1.0721443,1.0761523,1.0801604,1.0841683,1.0881764,1.0921844,1.0961924,1.1002004,1.1042085,1.1082164,1.1122245,1.1162325,1.1202404,1.1242485,1.1282566,1.1322645,1.1362725,1.1402806,1.1442885,1.1482966,1.1523046,1.1563126,1.1603206,1.1643287,1.1683366,1.1723447,1.1763527,1.1803607,1.1843687,1.1883768,1.1923847,1.1963928,1.2004008,1.2044088,1.2084168,1.2124249,1.2164328,1.2204409,1.2244489,1.2284569,1.2324649,1.236473,1.240481,1.244489,1.248497,1.2525051,1.256513,1.260521,1.2645291,1.268537,1.2725451,1.2765532,1.2805611,1.2845691,1.2885772,1.2925851,1.2965932,1.3006012,1.3046092,1.3086172,1.3126253,1.3166332,1.3206413,1.3246493,1.3286573,1.3326653,1.3366734,1.3406813,1.3446894,1.3486974,1.3527054,1.3567134,1.3607215,1.3647294,1.3687375,1.3727455,1.3767534,1.3807615,1.3847696,1.3887776,1.3927855,1.3967936,1.4008017,1.4048096,1.4088176,1.4128257,1.4168336,1.4208417,1.4248497,1.4288577,1.4328657,1.4368738,1.4408817,1.4448898,1.4488978,1.4529058,1.4569138,1.4609219,1.4649298,1.4689379,1.4729459,1.4769539,1.4809619,1.48497,1.4889779,1.492986,1.496994,1.501002,1.50501,1.5090181,1.513026,1.517034,1.5210421,1.52505,1.5290581,1.5330662,1.5370741,1.5410821,1.5450902,1.5490983,1.5531062,1.5571142,1.5611223,1.5651302,1.5691383,1.5731463,1.5771543,1.5811623,1.5851704,1.5891783,1.5931864,1.5971944,1.6012024,1.6052104,1.6092185,1.6132264,1.6172345,1.6212425,1.6252505,1.6292585,1.6332666,1.6372745,1.6412826,1.6452906,1.6492985,1.6533066,1.6573147,1.6613226,1.6653306,1.6693387,1.6733466,1.6773547,1.6813627,1.6853707,1.6893787,1.6933868,1.6973948,1.7014028,1.7054108,1.7094189,1.7134268,1.7174349,1.7214429,1.7254509,1.7294589,1.733467,1.7374749,1.741483,1.745491,1.749499,1.753507,1.7575151,1.761523,1.7655311,1.7695391,1.773547,1.7775551,1.7815632,1.7855711,1.7895792,1.7935872,1.7975951,1.8016032,1.8056113,1.8096192,1.8136272,1.8176353,1.8216432,1.8256513,1.8296593,1.8336673,1.8376753,1.8416834,1.8456913,1.8496994,1.8537074,1.8577155,1.8617234,1.8657315,1.8697395,1.8737475,1.8777555,1.8817636,1.8857715,1.8897796,1.8937876,1.8977956,1.9018036,1.9058117,1.9098196,1.9138277,1.9178357,1.9218436,1.9258517,1.9298598,1.9338677,1.9378757,1.9418838,1.9458917,1.9498998,1.9539078,1.9579158,1.9619238,1.9659319,1.9699398,1.9739479,1.9779559,1.9819639,1.9859719,1.98998,1.9939879,1.997996,2.002004,2.006012,2.01002,2.014028,2.0180361,2.0220442,2.026052,2.03006,2.034068,2.0380762,2.0420842,2.0460923,2.0501,2.0541081,2.0581162,2.0621243,2.0661323,2.0701404,2.0741482,2.0781562,2.0821643,2.0861723,2.0901804,2.0941885,2.0981965,2.1022043,2.1062124,2.1102204,2.1142285,2.1182365,2.1222446,2.1262524,2.1302605,2.1342685,2.1382766,2.1422846,2.1462927,2.1503005,2.1543086,2.1583166,2.1623247,2.1663327,2.1703408,2.1743486,2.1783566,2.1823647,2.1863728,2.1903808,2.1943889,2.1983967,2.2024047,2.2064128,2.2104208,2.214429,2.218437,2.2224448,2.2264528,2.230461,2.234469,2.238477,2.242485,2.246493,2.250501,2.254509,2.258517,2.262525,2.2665331,2.2705412,2.274549,2.278557,2.282565,2.2865732,2.2905812,2.2945893,2.298597,2.3026052,2.3066132,2.3106213,2.3146293,2.3186374,2.3226452,2.3266532,2.3306613,2.3346694,2.3386774,2.3426855,2.3466933,2.3507013,2.3547094,2.3587174,2.3627255,2.3667336,2.3707414,2.3747494,2.3787575,2.3827655,2.3867736,2.3907816,2.3947897,2.3987975,2.4028056,2.4068136,2.4108217,2.4148297,2.4188378,2.4228456,2.4268537,2.4308617,2.4348698,2.4388778,2.4428859,2.4468937,2.4509017,2.4549098,2.4589179,2.462926,2.466934,2.4709418,2.4749498,2.478958,2.482966,2.486974,2.490982,2.4949899,2.498998,2.503006,2.507014,2.511022,2.5150301,2.519038,2.523046,2.527054,2.5310621,2.5350702,2.5390782,2.5430863,2.547094,2.5511022,2.5551102,2.5591183,2.5631263,2.5671344,2.5711422,2.5751503,2.5791583,2.5831664,2.5871744,2.5911825,2.5951903,2.5991983,2.6032064,2.6072145,2.6112225,2.6152306,2.6192384,2.6232464,2.6272545,2.6312625,2.6352706,2.6392787,2.6432865,2.6472945,2.6513026,2.6553106,2.6593187,2.6633267,2.6673346,2.6713426,2.6753507,2.6793587,2.6833668,2.6873748,2.6913826,2.6953907,2.6993988,2.7034068,2.7074149,2.711423,2.715431,2.7194388,2.7234468,2.727455,2.731463,2.735471,2.739479,2.743487,2.747495,2.751503,2.755511,2.759519,2.7635272,2.767535,2.771543,2.775551,2.7795591,2.7835672,2.7875752,2.791583,2.795591,2.7995992,2.8036072,2.8076153,2.8116233,2.8156312,2.8196392,2.8236473,2.8276553,2.8316634,2.8356714,2.8396792,2.8436873,2.8476954,2.8517034,2.8557115,2.8597195,2.8637276,2.8677354,2.8717434,2.8757515,2.8797596,2.8837676,2.8877757,2.8917835,2.8957915,2.8997996,2.9038076,2.9078157,2.9118237,2.9158316,2.9198396,2.9238477,2.9278557,2.9318638,2.9358718,2.9398797,2.9438877,2.9478958,2.9519038,2.9559119,2.95992,2.9639277,2.9679358,2.9719439,2.975952,2.97996,2.983968,2.9879758,2.991984,2.995992,3.0]}
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/runner.jl
new file mode 100644
index 000000000000..2e2c00053842
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/test/fixtures/julia/runner.jl
@@ -0,0 +1,74 @@
+#!/usr/bin/env julia
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2018 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( -1000, stop = 1000, length = 2001 );
+julia> gen( x, \"data.json\" );
+```
+"""
+function gen( domain, name )
+ x = collect( domain );
+ y = acosh.( 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 );
+
+# Positive medium values:
+x = range( 1.0f0, stop = 3.0f0, length = 500 );
+gen( x, "medium_positive.json" );
+
+# Large positive values:
+x = range( 3.0f0, stop = 28.0f0, length = 500 );
+gen( x, "large_positive.json" );
+
+# Larger positive values:
+x = range( 28.0f0, stop = 100.0f0, length = 500 );
+gen( x, "larger_positive.json" );
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/test/test.js b/lib/node_modules/@stdlib/math/base/special/acoshf/test/test.js
new file mode 100644
index 000000000000..052e67c60377
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/test/test.js
@@ -0,0 +1,140 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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 isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var randu = require( '@stdlib/random/base/randu' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var absf = require( '@stdlib/math/base/special/absf' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var acoshf = require( './../lib' );
+
+
+// FIXTURES //
+
+var largerPositive = require( './fixtures/julia/larger_positive.json' );
+var largePositive = require( './fixtures/julia/large_positive.json' );
+var mediumPositive = require( './fixtures/julia/medium_positive.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.true( typeof acoshf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arccosine on the interval [1.0,3.0]', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var e;
+ var x;
+ var y;
+ var i;
+
+ x = mediumPositive.x;
+ expected = mediumPositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = acoshf( x[i] );
+ e = float64ToFloat32( expected[ i ] );
+ if ( y === e ) {
+ t.equal( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = absf( y - e );
+ tol = 1.0 * EPS * absf( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arccosine on the interval [3.0,28.0]', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var e;
+ var x;
+ var y;
+ var i;
+
+ x = largePositive.x;
+ expected = largePositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = acoshf( x[i] );
+ e = float64ToFloat32( expected[ i ] );
+ if ( y === e ) {
+ t.equal( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = absf( y - e );
+ tol = 1.0 * EPS * absf( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arccosine on the interval [28.0,100.0]', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var e;
+ var x;
+ var y;
+ var i;
+
+ x = largerPositive.x;
+ expected = largerPositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = acoshf( x[i] );
+ e = float64ToFloat32( expected[ i ] );
+ if ( y === e ) {
+ t.equal( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = absf( y - e );
+ tol = 1.0 * EPS * absf( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', function test( t ) {
+ var v = acoshf( NaN );
+ t.equal( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided value less than `1`', function test( t ) {
+ var v;
+ var i;
+
+ for ( i = 0; i < 1e3; i++ ) {
+ v = -(randu()*1.0e6) + (1-EPS);
+ t.equal( isnanf( acoshf( v ) ), true, 'returns expected value when provided '+v );
+ }
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/acoshf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/acoshf/test/test.native.js
new file mode 100644
index 000000000000..b3b655e5826b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acoshf/test/test.native.js
@@ -0,0 +1,149 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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 isnan = require( '@stdlib/math/base/assert/is-nan' );
+var randu = require( '@stdlib/random/base/randu' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+
+// FIXTURES //
+
+var largerPositive = require( './fixtures/julia/larger_positive.json' );
+var largePositive = require( './fixtures/julia/large_positive.json' );
+var mediumPositive = require( './fixtures/julia/medium_positive.json' );
+
+
+// VARIABLES //
+
+var acoshf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( acoshf instanceof Error )
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+ t.ok( true, __filename );
+ t.true( typeof acoshf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arccosine on the interval [1.0,3.0]', opts, function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var e;
+ var x;
+ var y;
+ var i;
+
+ x = mediumPositive.x;
+ expected = mediumPositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = acoshf( x[i] );
+ e = float64ToFloat32( expected[ i ] );
+ if ( y === e ) {
+ t.equal( 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+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arccosine on the interval [3.0,28.0]', opts, function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var e;
+ var x;
+ var y;
+ var i;
+
+ x = largePositive.x;
+ expected = largePositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ e = float64ToFloat32( expected[ i ] );
+ y = acoshf( x[i] );
+ if ( y === e ) {
+ t.equal( 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+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic arccosine on the interval [28.0,100.0]', opts, function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var e;
+ var x;
+ var y;
+ var i;
+
+ x = largerPositive.x;
+ expected = largerPositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = acoshf( x[i] );
+ e = float64ToFloat32( expected[ i ] );
+ if ( y === e ) {
+ t.equal( 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+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) {
+ var v = acoshf( NaN );
+ t.equal( isnan( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided value less than `1`', opts, function test( t ) {
+ var v;
+ var i;
+
+ for ( i = 0; i < 1e3; i++ ) {
+ v = -(randu()*1.0e6) + (1-EPS);
+ t.equal( isnan( acoshf( v ) ), true, 'returns expected value when provided '+v );
+ }
+ t.end();
+});