diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/LICENSE b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/LICENSE
new file mode 100644
index 000000000000..a7566ad6f2c3
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/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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+ "Licensor" shall mean the copyright owner or entity authorized by
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+ "You" (or "Your") shall mean an individual or Legal Entity
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+ transformation or translation of a Source form, including but
+ not limited to compiled object code, generated documentation,
+ and conversions to other media types.
+
+ "Work" shall mean the work of authorship, whether in Source or
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+ "Derivative Works" shall mean any work, whether in Source or Object
+ form, that is based on (or derived from) the Work and for which the
+ editorial revisions, annotations, elaborations, or other modifications
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+ "Contribution" shall mean any work of authorship, including
+ the original version of the Work and any modifications or additions
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+ meet the following conditions:
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+ (d) If the Work includes a "NOTICE" text file as part of its
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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
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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,
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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
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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/kernel-tanf/README.md b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/README.md
new file mode 100644
index 000000000000..6f9150f9f0f3
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/README.md
@@ -0,0 +1,199 @@
+
+
+# kernelTanf
+
+> Compute the [tangent][tangent] of a number on `[-π/4, π/4]` in single-precision floating-point format.
+
+
+
+## Usage
+
+```javascript
+var kernelTanf = require( '@stdlib/math/base/special/kernel-tanf' );
+```
+
+#### kernelTanf( x, iy )
+
+Computes the [tangent][tangent] of a number on `[-π/4, π/4]` in single-precision floating-point format.
+
+```javascript
+var out = kernelTanf( 3.141592653589793/4.0, 1 );
+// returns ~1.0
+
+out = kernelTanf( 3.141592653589793/6.0, 1 );
+// returns ~0.577
+
+out = kernelTanf( 0.664, 1 );
+// returns ~0.783
+```
+
+If `k = 1`, the function returns `tan(x)`. To return the negative inverse `-1/tan(x)`, set `k = -1`.
+
+```javascript
+var out = kernelTanf( 3.141592653589793/4.0, -1 );
+// returns ~-1.0
+```
+
+If provided `NaN` for `x`, the function returns `NaN`.
+
+```javascript
+var out = kernelTanf( NaN, 1 );
+// returns NaN
+
+out = kernelTanf( NaN, -1 );
+// returns NaN
+```
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var linspace = require( '@stdlib/array/base/linspace' );
+var PI = require( '@stdlib/constants/float32/pi' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var kernelTanf = require( '@stdlib/math/base/special/kernel-tanf' );
+
+var x = linspace( -PI/4.0, PI/4.0, 100 );
+
+logEachMap( 'kernelTanf(%0.4f, %d) = %0.4f', x, 1, kernelTanf );
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/kernel_tanf.h"
+```
+
+#### stdlib_base_kernel_tanf( x, iy )
+
+Computes the [tangent][tangent] of a number on `[-π/4, π/4]` in single-precision floating-point format.
+
+```c
+float out = stdlib_base_kernel_tanf( 3.141592653589793/4.0, 1 );
+// returns ~1.0f
+
+out = stdlib_base_kernel_tanf( 3.141592653589793/6.0, 1 );
+// returns ~0.577f
+```
+
+The function accepts the following arguments:
+
+- **x**: `[in] double` input value (in radians, assumed to be bounded by `~pi/4` in magnitude).
+- **iy**: `[in] int32_t` indicates whether `tan(x)` (if `iy = 1`) or `-1/tan(x)` (if `iy = -1`) is returned.
+
+```c
+float stdlib_base_kernel_tanf( const double x, const int32_t iy );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/kernel_tanf.h"
+#include
+
+int main( void ) {
+ const double x[] = { -0.7853981633974483, -0.6108652381980153, -0.4363323129985824, -0.26179938779914946, -0.08726646259971649, 0.08726646259971649, 0.26179938779914935, 0.43633231299858233, 0.6108652381980153, 0.7853981633974483 };
+
+ float out;
+ int i;
+ for ( i = 0; i < 10; i++ ) {
+ out = stdlib_base_kernel_tanf( x[ i ], 1 );
+ printf( "kernelTanf(%lf, %d) = %f\n", x[ i ], 1, out );
+ }
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[tangent]: https://en.wikipedia.org/wiki/Tangent
+
+
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/benchmark/benchmark.js
new file mode 100644
index 000000000000..5cddc4973252
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/benchmark/benchmark.js
@@ -0,0 +1,79 @@
+/**
+* @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 linspace = require( '@stdlib/array/base/linspace' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var PI = require( '@stdlib/constants/float32/pi' );
+var pkg = require( './../package.json' ).name;
+var kernelTanf = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg+':k=1', function benchmark( b ) {
+ var len;
+ var x;
+ var y;
+ var i;
+
+ len = 100;
+ x = linspace( -PI/4.0, PI/4.0, len );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = kernelTanf( x[ i%len ], 1 );
+ 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+':k=-1', function benchmark( b ) {
+ var len;
+ var x;
+ var y;
+ var i;
+
+ len = 100;
+ x = linspace( -PI/4.0, PI/4.0, len );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = kernelTanf( x[ i%len ], -1 );
+ 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/kernel-tanf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..ff1017f1e27e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/benchmark/benchmark.native.js
@@ -0,0 +1,88 @@
+/**
+* @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 bench = require( '@stdlib/bench' );
+var linspace = require( '@stdlib/array/base/linspace' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var PI = require( '@stdlib/constants/float32/pi' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var kernelTanf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( kernelTanf instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native:k=1', opts, function benchmark( b ) {
+ var len;
+ var x;
+ var y;
+ var i;
+
+ len = 100;
+ x = linspace( -PI/4.0, PI/4.0, len );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = kernelTanf( x[ i%len ], 1 );
+ 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+'::native:k=-1', opts, function benchmark( b ) {
+ var len;
+ var x;
+ var y;
+ var i;
+
+ len = 100;
+ x = linspace( -PI/4.0, PI/4.0, len );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = kernelTanf( x[ i%len ], -1 );
+ 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/kernel-tanf/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/benchmark/c/native/Makefile
new file mode 100644
index 000000000000..a4bd7b38fd74
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/benchmark/c/native/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 := 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/kernel-tanf/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/benchmark/c/native/benchmark.c
new file mode 100644
index 000000000000..7ac0d5f0d35e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/benchmark/c/native/benchmark.c
@@ -0,0 +1,138 @@
+/**
+* @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/kernel_tanf.h"
+#include
+#include
+#include
+#include
+#include
+
+#define NAME "kernel-tanf"
+#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 double random_uniform( const double min, const double max ) {
+ double v = (double)rand() / ( (double)RAND_MAX + 1.0 );
+ return min + ( v*(max-min) );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+ double x[ 100 ];
+ double elapsed;
+ double t;
+ float z;
+ int i;
+
+ for ( i = 0; i < 100; i++ ) {
+ x[ i ] = random_uniform( -0.7853981633974483, 0.7853981633974483 );
+ }
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ z = stdlib_base_kernel_tanf( x[ i%100 ], 1 );
+ if ( z != z ) {
+ printf( "should not return NaN\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( z != z ) {
+ 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/kernel-tanf/binding.gyp b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/binding.gyp
new file mode 100644
index 000000000000..68a1ca11d160
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/binding.gyp
@@ -0,0 +1,170 @@
+# @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.
+
+# 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/kernel-tanf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/docs/repl.txt
new file mode 100644
index 000000000000..20db155fb7b4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/docs/repl.txt
@@ -0,0 +1,37 @@
+
+{{alias}}( x, iy )
+ Computes the tangent of a number on the interval [-π/4, π/4] in
+ single-precision floating-point format.
+
+ If provided `NaN` for `x`, the function returns `NaN`.
+
+ Parameters
+ ----------
+ x: number
+ Input value (in radians).
+
+ iy: integer
+ If `iy=1`, the function returns `tan(x)`. If `iy=-1`, the function
+ returns the negative inverse `-1/tan(x)`.
+
+ Returns
+ -------
+ out: number
+ Tangent.
+
+ Examples
+ --------
+ > var out = {{alias}}( {{alias:@stdlib/constants/float32/pi}}/4.0, 1 )
+ ~1.0
+ > out = {{alias}}( {{alias:@stdlib/constants/float32/pi}}/4.0, -1 )
+ ~-1.0
+ > out = {{alias}}( {{alias:@stdlib/constants/float32/pi}}/6.0, 1 )
+ ~0.577
+ > out = {{alias}}( 0.664, 1 )
+ ~0.783
+ > out = {{alias}}( NaN, 1 )
+ NaN
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/docs/types/index.d.ts
new file mode 100644
index 000000000000..3899856c8dbc
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/docs/types/index.d.ts
@@ -0,0 +1,53 @@
+/*
+* @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 tangent of a number on \\( \[-\pi/4, \pi/4] \\) in single-precision floating-point format, where \\( \pi/4 \approx 0.785398164 \\).
+*
+* @param x - input value (in radians, assumed to be bounded by ~π/4 in magnitude)
+* @param iy - indicates whether tan (if iy = 1) or -1/tan (if iy = -1) is returned
+* @returns tangent
+*
+* @example
+* var out = kernelTanf( 3.141592653589793/4.0, 1 );
+* // returns ~1.0
+*
+* @example
+* var out = kernelTanf( 3.141592653589793/4.0, -1 );
+* // returns ~-1.0
+*
+* @example
+* var out = kernelTanf( 3.141592653589793/6.0, 1 );
+* // returns ~0.577
+*
+* @example
+* var out = kernelTanf( 0.664, 1 );
+* // returns ~0.783
+*
+* @example
+* var out = kernelTanf( NaN, 1 );
+* // returns NaN
+*/
+declare function kernelTanf( x: number, iy: -1 | 1 ): number;
+
+
+// EXPORTS //
+
+export = kernelTanf;
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/docs/types/test.ts
new file mode 100644
index 000000000000..b0c157b785f8
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/docs/types/test.ts
@@ -0,0 +1,55 @@
+/*
+* @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.
+*/
+
+import kernelTanf = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ kernelTanf( 3.141592653589793 / 4.0, 0.0, 1 ); // $ExpectType number
+ kernelTanf( 3.141592653589793 / 4.0, 0.0, -1 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided values other than a number for the first argument...
+{
+ kernelTanf( true, 1 ); // $ExpectError
+ kernelTanf( false, 1 ); // $ExpectError
+ kernelTanf( '5', 1 ); // $ExpectError
+ kernelTanf( [], 1 ); // $ExpectError
+ kernelTanf( {}, 1 ); // $ExpectError
+ kernelTanf( ( x: number ): number => x, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a value other than `-1` or `1` as its second argument...
+{
+ kernelTanf( 0.664, 10 ); // $ExpectError
+ kernelTanf( 0.664, 'abc' ); // $ExpectError
+ kernelTanf( 0.664, true ); // $ExpectError
+ kernelTanf( 0.664, false ); // $ExpectError
+ kernelTanf( 0.664, [] ); // $ExpectError
+ kernelTanf( 0.664, {} ); // $ExpectError
+ kernelTanf( 0.664, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+ kernelTanf(); // $ExpectError
+ kernelTanf( 3 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/examples/c/Makefile
new file mode 100644
index 000000000000..25ced822f96a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/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/kernel-tanf/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/examples/c/example.c
new file mode 100644
index 000000000000..ad08169de738
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/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/kernel_tanf.h"
+#include
+
+int main( void ) {
+ const double x[] = { -0.7853981633974483, -0.6108652381980153, -0.4363323129985824, -0.26179938779914946, -0.08726646259971649, 0.08726646259971649, 0.26179938779914935, 0.43633231299858233, 0.6108652381980153, 0.7853981633974483 };
+
+ float out;
+ int i;
+ for ( i = 0; i < 10; i++ ) {
+ out = stdlib_base_kernel_tanf( x[ i ], 1 );
+ printf( "kernelTanf(%lf, %d) = %f\n", x[ i ], 1, out );
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/examples/index.js
new file mode 100644
index 000000000000..2c1e7f349933
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/examples/index.js
@@ -0,0 +1,28 @@
+/**
+* @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 PI = require( '@stdlib/constants/float32/pi' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var kernelTanf = require( './../lib' );
+
+var x = linspace( -PI/4.0, PI/4.0, 100 );
+
+logEachMap( 'kernelTanf(%0.4f, %d) = %0.4f', x, 1, kernelTanf );
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/include.gypi b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/include.gypi
new file mode 100644
index 000000000000..ecfaf82a3279
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/include.gypi
@@ -0,0 +1,53 @@
+# @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.
+
+# A GYP include file for building a Node.js native add-on.
+#
+# Main documentation:
+#
+# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md
+# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md
+{
+ # Define variables to be used throughout the configuration for all targets:
+ 'variables': {
+ # Source directory:
+ 'src_dir': './src',
+
+ # Include directories:
+ 'include_dirs': [
+ '
+
+/*
+* If C++, prevent name mangling so that the compiler emits a binary file having undecorated names, thus mirroring the behavior of a C compiler.
+*/
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/**
+* Computes the tangent of a number on [-π/4, π/4] in single-precision floating-point format.
+*/
+float stdlib_base_kernel_tanf( const double x, const int32_t iy );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif // !STDLIB_MATH_BASE_SPECIAL_KERNEL_TANF_H
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/lib/index.js b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/lib/index.js
new file mode 100644
index 000000000000..b097c2bd20e5
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/lib/index.js
@@ -0,0 +1,49 @@
+/**
+* @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';
+
+/**
+* Compute the tangent of a number on `[-π/4, π/4]` in single-precision floating-point format.
+*
+* @module @stdlib/math/base/special/kernel-tanf
+*
+* @example
+* var kernelTanf = require( '@stdlib/math/base/special/kernel-tanf' );
+*
+* var out = kernelTanf( 3.141592653589793/4.0, 1 );
+* // returns ~1.0
+*
+* out = kernelTanf( 3.141592653589793/4.0, -1 );
+* // returns ~-1.0
+*
+* out = kernelTanf( 3.141592653589793/6.0, 1 );
+* // returns ~0.577
+*
+* out = kernelTanf( 0.664, 1 );
+* // returns ~0.783
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/lib/main.js b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/lib/main.js
new file mode 100644
index 000000000000..8cf8708118ac
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/lib/main.js
@@ -0,0 +1,115 @@
+/**
+* @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/k_tanf.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```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.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+
+
+// VARIABLES //
+
+var T = [
+ 0.333331395030791399758, // 0x15554d3418c99f.0p-54
+ 0.133392002712976742718, // 0x1112fd38999f72.0p-55
+ 0.0533812378445670393523, // 0x1b54c91d865afe.0p-57
+ 0.0245283181166547278873, // 0x191df3908c33ce.0p-58
+ 0.00297435743359967304927, // 0x185dadfcecf44e.0p-61
+ 0.00946564784943673166728 // 0x1362b9bf971bcd.0p-59
+];
+
+
+// MAIN //
+
+/**
+* Computes the tangent of a number on \\( \[-\pi/4, \pi/4] \\) in single-precision floating-point format, where \\( \pi/4 \approx 0.785398164 \\).
+*
+* ## Notes
+*
+* - \\( | \frac{\tan(x)}{x} - t(x) | < 2^{-25.5} \\), where \\( 2^{-25.5} \approx \[ -2.0 \times 10^{-8}, 2.0 \times 10^{-8} \] \\).
+*
+* @param {number} x - input value (in radians, assumed to be bounded by ~π/4 in magnitude)
+* @param {integer} iy - indicates whether tan (if iy = 1) or -1/tan (if iy = -1) is returned
+* @returns {number} tangent
+*
+* @example
+* var out = kernelTanf( 3.141592653589793/4.0, 1 );
+* // returns ~1.0
+*
+* @example
+* var out = kernelTanf( 3.141592653589793/4.0, -1 );
+* // returns ~-1.0
+*
+* @example
+* var out = kernelTanf( 3.141592653589793/6.0, 1 );
+* // returns ~0.577
+*
+* @example
+* var out = kernelTanf( 0.664, 1 );
+* // returns ~0.783
+*
+* @example
+* var out = kernelTanf( NaN, 1 );
+* // returns NaN
+*/
+function kernelTanf( x, iy ) {
+ var z;
+ var r;
+ var w;
+ var s;
+ var t;
+ var u;
+
+ z = x * x;
+
+ /*
+ * Split up the polynomial into small independent terms to give opportunities for parallel evaluation. The chosen splitting is a micro-optimization for specific hardware, as originally documented in FreeBSD's fdlibm. The splitting costs 2 multiplications relative to Horner's method on sequential machines.
+ *
+ * We add the small terms from lowest degree up for efficiency on non-sequential machines (the lowest degree terms tend to be ready earlier). Apart from this, we don't care about order of operations, and don't need to care since we have precision to spare. However, the chosen splitting is good for accuracy, too, and would give results as accurate as Horner's method if the small terms were added from highest degree down.
+ */
+ r = T[ 4 ] + ( z * T[ 5 ] );
+ t = T[ 2 ] + ( z * T[ 3 ] );
+ w = z * z;
+ s = z * x;
+ u = T[ 0 ] + ( z * T[ 1 ] );
+ r = ( x + ( s*u ) ) + ( ( s*w ) * ( t + ( w*r ) ) );
+ if ( iy === 1 ) {
+ return f32( r );
+ }
+ return f32( f32( -1.0 ) / f32( r ) );
+}
+
+
+// EXPORTS //
+
+module.exports = kernelTanf;
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/lib/native.js b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/lib/native.js
new file mode 100644
index 000000000000..fb81f1ec0cd1
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/lib/native.js
@@ -0,0 +1,63 @@
+/**
+* @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 //
+
+/**
+* Computes the tangent of a number on \\( \[-\pi/4, \pi/4] \\) in single-precision floating-point format, where \\( \pi/4 \approx 0.785398164 \\).
+*
+* @private
+* @param {number} x - input value (in radians, assumed to be bounded by ~π/4 in magnitude)
+* @param {integer} iy - indicates whether tan (if iy = 1) or -1/tan (if iy = -1) is returned
+* @returns {number} tangent
+*
+* @example
+* var out = kernelTanf( 3.141592653589793/4.0, 1 );
+* // returns ~1.0
+*
+* @example
+* var out = kernelTanf( 3.141592653589793/4.0, -1 );
+* // returns ~-1.0
+*
+* @example
+* var out = kernelTanf( 3.141592653589793/6.0, 1 );
+* // returns ~0.577
+*
+* @example
+* var out = kernelTanf( 0.664, 1 );
+* // returns ~0.783
+*
+* @example
+* var out = kernelTanf( NaN, 1 );
+* // returns NaN
+*/
+function kernelTanf( x, iy ) {
+ return addon( x, iy );
+}
+
+
+// EXPORTS //
+
+module.exports = kernelTanf;
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/manifest.json b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/manifest.json
new file mode 100644
index 000000000000..6bd44d25100c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/manifest.json
@@ -0,0 +1,76 @@
+{
+ "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": [
+ "-lm"
+ ],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/napi/export",
+ "@stdlib/napi/argv",
+ "@stdlib/napi/argv-double",
+ "@stdlib/napi/argv-int32",
+ "@stdlib/napi/create-double"
+ ]
+ },
+ {
+ "task": "benchmark",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [
+ "-lm"
+ ],
+ "libpath": [],
+ "dependencies": []
+ },
+ {
+ "task": "examples",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": []
+ }
+ ]
+}
+
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/package.json b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/package.json
new file mode 100644
index 000000000000..875ffb177dad
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/package.json
@@ -0,0 +1,68 @@
+{
+ "name": "@stdlib/math/base/special/kernel-tanf",
+ "version": "0.0.0",
+ "description": "Compute the tangent of a number on [-π/4, π/4] in single-precision floating-point format.",
+ "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",
+ "math.tan",
+ "tan",
+ "tangent",
+ "kernel",
+ "trig",
+ "trigonometry",
+ "radians",
+ "angle"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/src/Makefile b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/src/Makefile
new file mode 100644
index 000000000000..7733b6180cb4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/src/Makefile
@@ -0,0 +1,70 @@
+#/
+# @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/kernel-tanf/src/addon.c b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/src/addon.c
new file mode 100644
index 000000000000..45561cd0fdfb
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/src/addon.c
@@ -0,0 +1,42 @@
+/**
+* @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/kernel_tanf.h"
+#include "stdlib/napi/argv.h"
+#include "stdlib/napi/argv_double.h"
+#include "stdlib/napi/argv_int32.h"
+#include "stdlib/napi/create_double.h"
+#include "stdlib/napi/export.h"
+#include
+
+/**
+* Receives JavaScript callback invocation data.
+*
+* @param env environment under which the function is invoked
+* @param info callback data
+* @return Node-API value
+*/
+static napi_value addon( napi_env env, napi_callback_info info ) {
+ STDLIB_NAPI_ARGV( env, info, argv, argc, 2 );
+ STDLIB_NAPI_ARGV_DOUBLE( env, x, argv, 0 );
+ STDLIB_NAPI_ARGV_INT32( env, iy, argv, 1 );
+ STDLIB_NAPI_CREATE_DOUBLE( env, (double)stdlib_base_kernel_tanf( x, iy ), out );
+ return out;
+}
+
+STDLIB_NAPI_MODULE_EXPORT_FCN( addon )
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/src/main.c b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/src/main.c
new file mode 100644
index 000000000000..6a1416197aba
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/src/main.c
@@ -0,0 +1,85 @@
+/**
+* @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/k_tanf.c}. The implementation follows the original, but has been modified according to stdlib 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/kernel_tanf.h"
+#include
+
+static const double T[] = {
+ 0.333331395030791399758, // 0x15554d3418c99f.0p-54
+ 0.133392002712976742718, // 0x1112fd38999f72.0p-55
+ 0.0533812378445670393523, // 0x1b54c91d865afe.0p-57
+ 0.0245283181166547278873, // 0x191df3908c33ce.0p-58
+ 0.00297435743359967304927, // 0x185dadfcecf44e.0p-61
+ 0.00946564784943673166728 // 0x1362b9bf971bcd.0p-59
+};
+
+/**
+* Computes the tangent of a number on \\( \[-\pi/4, \pi/4] \\) in single-precision floating-point format, where \\( \pi/4 \approx 0.785398164 \\).
+*
+* ## Notes
+*
+* - \\( | \frac{\tan(x)}{x} - t(x) | < 2^{-25.5} \\), where \\( 2^{-25.5} \approx \[ -2.0 \times 10^{-8}, 2.0 \times 10^{-8} \] \\).
+*
+* @param x input value (in radians, assumed to be bounded by `~pi/4` in magnitude)
+* @param iy indicates whether tan (if iy = 1) or -1/tan (if iy = -1) is returned
+* @return tangent
+*
+* @example
+* float out = stdlib_base_kernel_tanf( 3.141592653589793/4.0, 1 );
+* // returns ~1.0f
+*/
+float stdlib_base_kernel_tanf( const double x, const int32_t iy ) {
+ double z;
+ double r;
+ double w;
+ double s;
+ double t;
+ double u;
+
+ z = x * x;
+
+ /*
+ * Split up the polynomial into small independent terms to give opportunities for parallel evaluation. The chosen splitting is a micro-optimization for specific hardware, as originally documented in FreeBSD's fdlibm. The splitting costs 2 multiplications relative to Horner's method on sequential machines.
+ *
+ * We add the small terms from lowest degree up for efficiency on non-sequential machines (the lowest degree terms tend to be ready earlier). Apart from this, we don't care about order of operations, and don't need to care since we have precision to spare. However, the chosen splitting is good for accuracy, too, and would give results as accurate as Horner's method if the small terms were added from highest degree down.
+ */
+ r = T[ 4 ] + ( z * T[ 5 ] );
+ t = T[ 2 ] + ( z * T[ 3 ] );
+ w = z * z;
+ s = z * x;
+ u = T[ 0 ] + ( z * T[ 1 ] );
+ r = ( x + ( s*u ) ) + ( ( s*w ) * ( t + ( w*r ) ) );
+ if ( iy == 1 ) {
+ return (float)r;
+ }
+ return ( -1.0f / (float)r );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/REQUIRE
new file mode 100644
index 000000000000..308c3be89c85
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/large_negative.json b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/large_negative.json
new file mode 100644
index 000000000000..b6cda383f907
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/large_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/large_positive.json
new file mode 100644
index 000000000000..0f76ebea115c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/large_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/runner.jl
new file mode 100755
index 000000000000..fe0b9db5d032
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/runner.jl
@@ -0,0 +1,74 @@
+#!/usr/bin/env julia
+#
+# @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.
+
+import JSON
+
+"""
+ gen( domain, name )
+
+Generate fixture data and write to file.
+
+# Arguments
+
+* `domain`: domain
+* `name::AbstractString`: output filename
+
+# Examples
+
+``` julia
+julia> x = range( -1000.0, stop = 1000.0, length = 2001 );
+julia> gen( x, \"data.json\" );
+```
+"""
+function gen( domain, name )
+ x = collect( domain );
+ y = tan.( 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 within the defined domain:
+x = Float32.( range( -pi/4.0, stop = pi/4.0, length = 1000 ) );
+gen( x, "small_range.json" );
+
+# Positive values outside the defined domain:
+x = Float32.( range( 40.0*pi/4.0, stop = 200*pi/4.0, length = 1000 ) );
+gen( x, "large_positive.json" );
+
+# Negative values outside the defined domain:
+x = Float32.( range( -200*pi/4.0, stop = -40*pi/4.0, length = 1000 ) );
+gen( x, "large_negative.json" );
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/small_range.json b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/small_range.json
new file mode 100644
index 000000000000..a8ebef200082
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/fixtures/julia/small_range.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/test.js b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/test.js
new file mode 100644
index 000000000000..a20f6e6b38e0
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/test.js
@@ -0,0 +1,157 @@
+/**
+* @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 rempio2f = require( '@stdlib/math/base/special/rempio2f' );
+var absf = require( '@stdlib/math/base/special/absf' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var isNegativeZerof = require( '@stdlib/math/base/assert/is-negative-zerof' );
+var isPositiveZerof = require( '@stdlib/math/base/assert/is-positive-zerof' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var kernelTanf = require( './../lib' );
+
+
+// FIXTURES //
+
+var smallRange = require( './fixtures/julia/small_range.json' );
+var largePositive = require( './fixtures/julia/large_positive.json' );
+var largeNegative = require( './fixtures/julia/large_negative.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof kernelTanf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN` for `x`', function test( t ) {
+ var v = kernelTanf( NaN, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ v = kernelTanf( NaN, -1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function correctly handles `+0.0`', function test( t ) {
+ var v = kernelTanf( 0.0, 1 );
+ t.strictEqual( isPositiveZerof( v ), true, 'returns expected value' );
+
+ v = kernelTanf( 0.0, -1 );
+ t.strictEqual( v, NINF, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function correctly handles `+0.0`', function test( t ) {
+ var v = kernelTanf( -0.0, 1 );
+ t.strictEqual( isNegativeZerof( v ), true, 'returns expected value' );
+
+ v = kernelTanf( -0.0, -1 );
+ t.strictEqual( v, PINF, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function evaluates the tangent for input values inside of `[-pi/4, pi/4]`', function test( t ) {
+ var expected;
+ var values;
+ var out;
+ var x;
+ var i;
+
+ values = smallRange.x;
+ expected = smallRange.expected;
+ for ( i = 0; i < values.length; i++ ) {
+ x = f32( values[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ out = kernelTanf( x, 1 );
+ t.strictEqual( out, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function can be used to compute the tangent for input values outside of `[-pi/4, pi/4]` after argument reduction via `rempio2f` (positive)', function test( t ) {
+ var expected;
+ var values;
+ var delta;
+ var tol;
+ var out;
+ var x;
+ var y;
+ var n;
+ var i;
+
+ values = largePositive.x;
+ expected = largePositive.expected;
+ y = [ 0.0 ];
+ for ( i = 0; i < values.length; i++ ) {
+ x = f32( values[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ n = rempio2f( x, y );
+ out = kernelTanf( y[ 0 ], 1 - ( (n&1)<<1 ) );
+ if ( out === expected[ i ] ) {
+ t.strictEqual( out, expected[ i ], 'returns expected value' );
+ } else {
+ delta = absf( out - expected[ i ] );
+ tol = EPS * absf( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+x+'. out: '+out+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function can be used to compute the tangent for input values outside of `[-pi/4, pi/4]` after argument reduction via `rempio2f` (negative)', function test( t ) {
+ var expected;
+ var values;
+ var delta;
+ var tol;
+ var out;
+ var x;
+ var y;
+ var n;
+ var i;
+
+ values = largeNegative.x;
+ expected = largeNegative.expected;
+ y = [ 0.0 ];
+ for ( i = 0; i < values.length; i++ ) {
+ x = f32( values[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ n = rempio2f( x, y );
+ out = kernelTanf( y[ 0 ], 1 - ( (n&1)<<1 ) );
+ if ( out === expected[ i ] ) {
+ t.strictEqual( out, expected[ i ], 'returns expected value' );
+ } else {
+ delta = absf( out - expected[ i ] );
+ tol = EPS * absf( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+x+'. out: '+out+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/test.native.js
new file mode 100644
index 000000000000..41a103d7e79e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/kernel-tanf/test/test.native.js
@@ -0,0 +1,166 @@
+/**
+* @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 isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var rempio2f = require( '@stdlib/math/base/special/rempio2f' );
+var absf = require( '@stdlib/math/base/special/absf' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var isNegativeZerof = require( '@stdlib/math/base/assert/is-negative-zerof' );
+var isPositiveZerof = require( '@stdlib/math/base/assert/is-positive-zerof' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+
+// FIXTURES //
+
+var smallRange = require( './fixtures/julia/small_range.json' );
+var largePositive = require( './fixtures/julia/large_positive.json' );
+var largeNegative = require( './fixtures/julia/large_negative.json' );
+
+
+// VARIABLES //
+
+var kernelTanf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( kernelTanf instanceof Error )
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof kernelTanf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN` for `x`', opts, function test( t ) {
+ var v = kernelTanf( NaN, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ v = kernelTanf( NaN, -1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function correctly handles `+0.0`', function test( t ) {
+ var v = kernelTanf( 0.0, 1 );
+ t.strictEqual( isPositiveZerof( v ), true, 'returns expected value' );
+
+ v = kernelTanf( 0.0, -1 );
+ t.strictEqual( v, NINF, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function correctly handles `+0.0`', function test( t ) {
+ var v = kernelTanf( -0.0, 1 );
+ t.strictEqual( isNegativeZerof( v ), true, 'returns expected value' );
+
+ v = kernelTanf( -0.0, -1 );
+ t.strictEqual( v, PINF, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function evaluates the tangent for input values inside of `[-pi/4, pi/4]`', opts, function test( t ) {
+ var expected;
+ var values;
+ var out;
+ var x;
+ var i;
+
+ values = smallRange.x;
+ expected = smallRange.expected;
+ for ( i = 0; i < values.length; i++ ) {
+ x = f32( values[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ out = kernelTanf( x, 1 );
+ t.strictEqual( out, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function can be used to compute the tangent for input values outside of `[-pi/4, pi/4]` after argument reduction via `rempio2f` (positive)', opts, function test( t ) {
+ var expected;
+ var values;
+ var delta;
+ var tol;
+ var out;
+ var x;
+ var y;
+ var n;
+ var i;
+
+ values = largePositive.x;
+ expected = largePositive.expected;
+ y = [ 0.0 ];
+ for ( i = 0; i < values.length; i++ ) {
+ x = f32( values[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ n = rempio2f( x, y );
+ out = kernelTanf( y[ 0 ], 1 - ( (n&1)<<1 ) );
+ if ( out === expected[ i ] ) {
+ t.strictEqual( out, expected[ i ], 'returns expected value' );
+ } else {
+ delta = absf( out - expected[ i ] );
+ tol = EPS * absf( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+x+'. out: '+out+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function can be used to compute the tangent for input values outside of `[-pi/4, pi/4]` after argument reduction via `rempio2f` (negative)', opts, function test( t ) {
+ var expected;
+ var values;
+ var delta;
+ var tol;
+ var out;
+ var x;
+ var y;
+ var n;
+ var i;
+
+ values = largeNegative.x;
+ expected = largeNegative.expected;
+ y = [ 0.0 ];
+ for ( i = 0; i < values.length; i++ ) {
+ x = f32( values[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ n = rempio2f( x, y );
+ out = kernelTanf( y[ 0 ], 1 - ( (n&1)<<1 ) );
+ if ( out === expected[ i ] ) {
+ t.strictEqual( out, expected[ i ], 'returns expected value' );
+ } else {
+ delta = absf( out - expected[ i ] );
+ tol = EPS * absf( expected[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+x+'. out: '+out+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});