diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/README.md b/lib/node_modules/@stdlib/math/base/special/hacovercosf/README.md
new file mode 100644
index 000000000000..0e115d965c55
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/README.md
@@ -0,0 +1,200 @@
+
+
+# Hacovercosine
+
+> Compute the half-value [coversed cosine][coversed-cosine] of a single-precision floating-point number (in radians).
+
+
+
+The half-value [coversed cosine][coversed-cosine] is defined as
+
+
+
+```math
+\mathop{\mathrm{hacovercos}}(\theta) = \frac{1 + \sin \theta}{2}
+```
+
+
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var hacovercosf = require( '@stdlib/math/base/special/hacovercosf' );
+```
+
+#### hacovercosf( x )
+
+Computes the half-value [coversed cosine][coversed-cosine] of a single-precision floating-point number (in radians).
+
+```javascript
+var v = hacovercosf( 0.0 );
+// returns 0.5
+
+v = hacovercosf( 3.141592653589793/2.0 );
+// returns 1.0
+
+v = hacovercosf( -3.141592653589793/6.0 );
+// returns 0.25
+```
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var TWO_PI = require( '@stdlib/constants/float32/two-pi' );
+var hacovercosf = require( '@stdlib/math/base/special/hacovercosf' );
+
+var opts = {
+ 'dtype': 'float32'
+};
+var x = uniform( 100, 0.0, TWO_PI, opts );
+
+logEachMap( 'hacovercosf(%0.4f) = %0.4f', x, hacovercosf );
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/hacovercosf.h"
+```
+
+#### stdlib_base_hacovercosf( x )
+
+Computes the half-value [coversed cosine][coversed-cosine] of a single-precision floating-point number (in radians).
+
+```c
+float out = stdlib_base_hacovercosf( 0.0f );
+// returns 0.5f
+
+out = stdlib_base_hacovercosf( 3.141592653589793f / 2.0f );
+// returns 1.0f
+```
+
+The function accepts the following arguments:
+
+- **x**: `[in] float` input value (in radians).
+
+```c
+float stdlib_base_hacovercosf( const float x );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/hacovercosf.h"
+#include
+
+int main( void ) {
+ const float x[] = { 0.0f, 0.523f, 0.785f, 1.047f, 3.14f };
+
+ float y;
+ int i;
+ for ( i = 0; i < 5; i++ ) {
+ y = stdlib_base_hacovercosf( x[ i ] );
+ printf( "hacovercosf(%f) = %f\n", x[ i ], y );
+ }
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[coversed-cosine]: https://en.wikipedia.org/wiki/Versine
+
+
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/hacovercosf/benchmark/benchmark.js
new file mode 100644
index 000000000000..27d02201ed3d
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/benchmark/benchmark.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 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 hacovercosf = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = uniform( 100, -10.0, 10.0, {
+ 'dtype': 'float32'
+ });
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = hacovercosf( 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/hacovercosf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/hacovercosf/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..52027d023188
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/benchmark/benchmark.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 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 hacovercosf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( hacovercosf instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = uniform( 100, -10.0, 10.0, {
+ 'dtype': 'float32'
+ });
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = hacovercosf( 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/hacovercosf/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/hacovercosf/benchmark/c/Makefile
new file mode 100644
index 000000000000..d564e8b2d6f9
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/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/hacovercosf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/hacovercosf/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..51041b5739d4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/benchmark/c/benchmark.c
@@ -0,0 +1,137 @@
+/**
+* @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 "hacovercosf"
+#define ITERATIONS 1000000
+#define REPEATS 3
+
+/**
+* Prints the TAP version.
+*/
+static void print_version( void ) {
+ printf( "TAP version 13\n" );
+}
+
+/**
+* Prints the TAP summary.
+*
+* @param total total number of tests
+* @param passing total number of passing tests
+*/
+static void print_summary( int total, int passing ) {
+ printf( "#\n" );
+ printf( "1..%d\n", total ); // TAP plan
+ printf( "# total %d\n", total );
+ printf( "# pass %d\n", passing );
+ printf( "#\n" );
+ printf( "# ok\n" );
+}
+
+/**
+* Prints benchmarks results.
+*
+* @param elapsed elapsed time in seconds
+*/
+static void print_results( double elapsed ) {
+ double rate = (double)ITERATIONS / elapsed;
+ printf( " ---\n" );
+ printf( " iterations: %d\n", ITERATIONS );
+ printf( " elapsed: %0.9f\n", elapsed );
+ printf( " rate: %0.9f\n", rate );
+ printf( " ...\n" );
+}
+
+/**
+* Returns a clock time.
+*
+* @return clock time
+*/
+static double tic( void ) {
+ struct timeval now;
+ gettimeofday( &now, NULL );
+ return (double)now.tv_sec + (double)now.tv_usec/1.0e6;
+}
+
+/**
+* Generates a random number on the interval [min,max).
+*
+* @param min minimum value (inclusive)
+* @param max maximum value (exclusive)
+* @return random number
+*/
+static float random_uniform( const float min, const float max ) {
+ float v = (float)rand() / ( (float)RAND_MAX + 1.0f );
+ return min + ( v*(max-min) );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+ float x[ 100 ];
+ double elapsed;
+ double t;
+ float y;
+ int i;
+
+ for ( i = 0; i < 100; i++ ) {
+ x[ i ] = random_uniform( -10.0f, 10.0f );
+ }
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ y = ( 1.0f + sinf( x[ i%100 ] ) ) / 2.0f;
+ 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/hacovercosf/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/hacovercosf/benchmark/c/native/Makefile
new file mode 100644
index 000000000000..a4bd7b38fd74
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/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/hacovercosf/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/hacovercosf/benchmark/c/native/benchmark.c
new file mode 100644
index 000000000000..4b1a9e41602a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/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/hacovercosf.h"
+#include
+#include
+#include
+#include
+#include
+
+#define NAME "hacovercosf"
+#define ITERATIONS 1000000
+#define REPEATS 3
+
+/**
+* Prints the TAP version.
+*/
+static void print_version( void ) {
+ printf( "TAP version 13\n" );
+}
+
+/**
+* Prints the TAP summary.
+*
+* @param total total number of tests
+* @param passing total number of passing tests
+*/
+static void print_summary( int total, int passing ) {
+ printf( "#\n" );
+ printf( "1..%d\n", total ); // TAP plan
+ printf( "# total %d\n", total );
+ printf( "# pass %d\n", passing );
+ printf( "#\n" );
+ printf( "# ok\n" );
+}
+
+/**
+* Prints benchmarks results.
+*
+* @param elapsed elapsed time in seconds
+*/
+static void print_results( double elapsed ) {
+ double rate = (double)ITERATIONS / elapsed;
+ printf( " ---\n" );
+ printf( " iterations: %d\n", ITERATIONS );
+ printf( " elapsed: %0.9f\n", elapsed );
+ printf( " rate: %0.9f\n", rate );
+ printf( " ...\n" );
+}
+
+/**
+* Returns a clock time.
+*
+* @return clock time
+*/
+static double tic( void ) {
+ struct timeval now;
+ gettimeofday( &now, NULL );
+ return (double)now.tv_sec + (double)now.tv_usec/1.0e6;
+}
+
+/**
+* Generates a random number on the interval [min,max).
+*
+* @param min minimum value (inclusive)
+* @param max maximum value (exclusive)
+* @return random number
+*/
+static float random_uniform( const float min, const float max ) {
+ float v = (float)rand() / ( (float)RAND_MAX + 1.0f );
+ return min + ( v*(max-min) );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+ float x[ 100 ];
+ double elapsed;
+ double t;
+ float y;
+ int i;
+
+ for ( i = 0; i < 100; i++ ) {
+ x[ i ] = random_uniform( -10.0f, 10.0f );
+ }
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ y = stdlib_base_hacovercosf( x[ i%100 ] );
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ }
+ return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+ double elapsed;
+ int i;
+
+ // Use the current time to seed the random number generator:
+ srand( time( NULL ) );
+
+ print_version();
+ for ( i = 0; i < REPEATS; i++ ) {
+ printf( "# c::native::%s\n", NAME );
+ elapsed = benchmark();
+ print_results( elapsed );
+ printf( "ok %d benchmark finished\n", i+1 );
+ }
+ print_summary( REPEATS, REPEATS );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/binding.gyp b/lib/node_modules/@stdlib/math/base/special/hacovercosf/binding.gyp
new file mode 100644
index 000000000000..68a1ca11d160
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/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/hacovercosf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/hacovercosf/docs/repl.txt
new file mode 100644
index 000000000000..5ec233980c58
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/docs/repl.txt
@@ -0,0 +1,33 @@
+
+{{alias}}( x )
+ Computes the half-value coversed cosine of a single-precision floating-point
+ number (in radians).
+
+ The half-value coversed cosine is defined as `(1 + sin(x)) / 2`.
+
+ Parameters
+ ----------
+ x: number
+ Input value (in radians).
+
+ Returns
+ -------
+ y: number
+ Half-value coversed cosine.
+
+ Examples
+ --------
+ > var y = {{alias}}( 3.14 )
+ ~0.5008
+ > y = {{alias}}( -4.2 )
+ ~0.9358
+ > y = {{alias}}( -4.6 )
+ ~0.9968
+ > y = {{alias}}( 9.5 )
+ ~0.4624
+ > y = {{alias}}( -0.0 )
+ 0.5
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/hacovercosf/docs/types/index.d.ts
new file mode 100644
index 000000000000..871ba168758a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/docs/types/index.d.ts
@@ -0,0 +1,52 @@
+/*
+* @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 half-value coversed cosine of a single-precision floating-point number (in radians).
+*
+* ## Notes
+*
+* - The half-value coversed cosine is defined as `(1 + sin(x)) / 2`.
+*
+* @param x - input value (in radians)
+* @returns half-value coversed cosine
+*
+* @example
+* var v = hacovercosf( 0.0 );
+* // returns 0.5
+*
+* @example
+* var v = hacovercosf( 3.141592653589793/2.0 );
+* // returns 1.0
+*
+* @example
+* var v = hacovercosf( -3.141592653589793/6.0 );
+* // returns 0.25
+*
+* @example
+* var v = hacovercosf( NaN );
+* // returns NaN
+*/
+declare function hacovercosf( x: number ): number;
+
+
+// EXPORTS //
+
+export = hacovercosf;
diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/hacovercosf/docs/types/test.ts
new file mode 100644
index 000000000000..0dda038f3d46
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/docs/types/test.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.
+*/
+
+import hacovercosf = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ hacovercosf( 8 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+ hacovercosf( true ); // $ExpectError
+ hacovercosf( false ); // $ExpectError
+ hacovercosf( null ); // $ExpectError
+ hacovercosf( undefined ); // $ExpectError
+ hacovercosf( '5' ); // $ExpectError
+ hacovercosf( [] ); // $ExpectError
+ hacovercosf( {} ); // $ExpectError
+ hacovercosf( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+ hacovercosf(); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/hacovercosf/examples/c/Makefile
new file mode 100644
index 000000000000..25ced822f96a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/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/hacovercosf/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/hacovercosf/examples/c/example.c
new file mode 100644
index 000000000000..5321df1c40a7
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/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/hacovercosf.h"
+#include
+
+int main( void ) {
+ const float x[] = { 0.0f, 0.523f, 0.785f, 1.047f, 3.14f };
+
+ float y;
+ int i;
+ for ( i = 0; i < 5; i++ ) {
+ y = stdlib_base_hacovercosf( x[ i ] );
+ printf( "hacovercosf(%f) = %f\n", x[ i ], y );
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/hacovercosf/examples/index.js
new file mode 100644
index 000000000000..df446ae784fa
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/examples/index.js
@@ -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.
+*/
+
+'use strict';
+
+var uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var TWO_PI = require( '@stdlib/constants/float32/two-pi' );
+var hacovercosf = require( './../lib' );
+
+var opts = {
+ 'dtype': 'float32'
+};
+var x = uniform( 100, 0.0, TWO_PI, opts );
+
+logEachMap( 'hacovercosf(%0.4f) = %0.4f', x, hacovercosf );
diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/include.gypi b/lib/node_modules/@stdlib/math/base/special/hacovercosf/include.gypi
new file mode 100644
index 000000000000..ecfaf82a3279
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/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': [
+ '=0.10.0",
+ "npm": ">2.7.0"
+ },
+ "os": [
+ "aix",
+ "darwin",
+ "freebsd",
+ "linux",
+ "macos",
+ "openbsd",
+ "sunos",
+ "win32",
+ "windows"
+ ],
+ "keywords": [
+ "stdlib",
+ "stdmath",
+ "mathematics",
+ "math",
+ "hacovercos",
+ "hacovercosf",
+ "hacovercosin",
+ "hacovercosine",
+ "versed cosine",
+ "half-value",
+ "coversed",
+ "cosinus versus",
+ "hacovercosinus",
+ "hcc",
+ "versed",
+ "cosine",
+ "cos",
+ "sine",
+ "sin",
+ "trig",
+ "trigonometry",
+ "radians",
+ "angle"
+ ],
+ "__stdlib__": {
+ "scaffold": {
+ "$schema": "math/base@v1.0",
+ "base_alias": "hacovercos",
+ "alias": "hacovercosf",
+ "pkg_desc": "compute the half-value coversed cosine",
+ "desc": "computes the half-value coversed cosine",
+ "short_desc": "half-value coversed cosine",
+ "parameters": [
+ {
+ "name": "x",
+ "desc": "input value (in radians)",
+ "type": {
+ "javascript": "number",
+ "jsdoc": "number",
+ "c": "float",
+ "dtype": "float32"
+ },
+ "domain": [
+ {
+ "min": "-infinity",
+ "max": "infinity"
+ }
+ ],
+ "rand": {
+ "prng": "random/base/uniform",
+ "parameters": [
+ -10,
+ 10
+ ]
+ },
+ "example_values": [
+ 64,
+ 27,
+ 0,
+ 0.1,
+ -9,
+ 8,
+ -1,
+ 125,
+ -10.2,
+ 11.3,
+ -12.4,
+ 3.5,
+ -1.6,
+ 15.7,
+ -16,
+ 17.9,
+ -188,
+ 19.11,
+ -200,
+ 21.15
+ ]
+ }
+ ],
+ "output_policy": "real_floating_point_and_generic",
+ "returns": {
+ "desc": "half-value coversed cosine",
+ "type": {
+ "javascript": "number",
+ "jsdoc": "number",
+ "c": "float",
+ "dtype": "float32"
+ }
+ },
+ "keywords": [
+ "hacovercos",
+ "hacovercosf",
+ "hacovercosin",
+ "hacovercosine",
+ "versed cosine",
+ "half-value",
+ "coversed",
+ "cosinus versus",
+ "hacovercosinus",
+ "hcc",
+ "versed",
+ "cosine",
+ "cos",
+ "sine",
+ "sin",
+ "trig",
+ "trigonometry",
+ "radians",
+ "angle"
+ ],
+ "extra_keywords": []
+ }
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/src/Makefile b/lib/node_modules/@stdlib/math/base/special/hacovercosf/src/Makefile
new file mode 100644
index 000000000000..7733b6180cb4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/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/hacovercosf/src/addon.c b/lib/node_modules/@stdlib/math/base/special/hacovercosf/src/addon.c
new file mode 100644
index 000000000000..2636b42e4805
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/src/addon.c
@@ -0,0 +1,22 @@
+/**
+* @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/hacovercosf.h"
+#include "stdlib/math/base/napi/unary.h"
+
+STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_hacovercosf )
diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/src/main.c b/lib/node_modules/@stdlib/math/base/special/hacovercosf/src/main.c
new file mode 100644
index 000000000000..87144a896744
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/src/main.c
@@ -0,0 +1,34 @@
+/**
+* @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/hacovercosf.h"
+#include "stdlib/math/base/special/sinf.h"
+
+/**
+* Computes the half-value coversed cosine of a single-precision floating-point number (in radians).
+*
+* @param x input value (in radians)
+* @return half-value coversed cosine
+*
+* @example
+* float y = stdlib_base_hacovercosf( 3.141592653589793f / 2.0f );
+* // returns 1.0f
+*/
+float stdlib_base_hacovercosf( const float x ) {
+ return ( 1.0f + stdlib_base_sinf( x ) ) / 2.0f;
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/REQUIRE
new file mode 100644
index 000000000000..308c3be89c85
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/huge_negative.json b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/huge_negative.json
new file mode 100644
index 000000000000..bfe48ae07c1f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/huge_negative.json
@@ -0,0 +1 @@
+{"expected":[0.44585913,0.43451166,0.37015164,0.30802876,0.2492134,0.1420103,0.14548403,0.06364292,0.066081375,0.0152181685,0.00015944242,5.8948994e-5,7.4207783e-6,4.9471855e-6,0.073913455,0.07134387,0.068816274,0.06633097,0.26261264,0.25826716,0.52524495,0.5202993,0.5153518,0.5104027,0.5054526,0.50050193,0.49555123,0.9481259,0.94590807,0.94364655,0.9413415,0.9389932,0.9366019,0.93416774,0.93169105,0.91511345,0.9178527,0.92055106,0.9232081,0.9258237,0.44957453,0.9309294,0.4594348,0.9358661,0.46931097,0.94063187,0.47919917,0.04124838,0.48909554,0.045276165,0.49899617,0.049482286,0.5088972,0.053865075,0.10247147,0.058422804,0.096544206,0.063153714,0.09077513,0.0680559,0.08516657,0.07312751,0.079720676,0.5607642,0.074439585,0.5509248,0.06932536,0.54106545,0.06438005,0.53119,0.9627898,0.5213023,0.958951,0.51140624,0.95493233,0.50150573,0.9507352,0.89113295,0.9463613,0.89722395,0.39966327,0.90315914,0.9370903,0.4619366,0.41913706,0.91455305,0.9271336,0.023531675,0.4387377,0.9252967,0.91650707,0.029907405,0.45843437,0.93537337,0.13508302,0.037020475,0.47819626,0.9447672,0.121834904,0.044859678,0.49799237,0.62014043,0.109179944,0.053412735,0.5177916,0.60082835,0.09713793,0.06266624,0.98222965,0.5813582,0.08572778,0.0726057,0.97662026,0.5617604,0.074967414,0.850739,0.97026336,0.54206574,0.064873666,0.8645737,0.96316886,0.52230513,0.05546236,0.8778366,0.9553479,0.50250953,0.37937245,0.8905068,0.94681275,0.48270997,0.3986801,0.9025646,0.93757683,0.017637968,0.4181466,0.913991,0.92765456,0.023228288,0.43774155,0.92476803,0.1496189,0.029566407,0.45743412,0.9348789,0.13577,0.036642343,0.47719347,0.6402278,0.12249237,0.044445038,0.49698856,0.62111455,0.109806836,0.052962214,0.9873084,0.60181135,0.09773329,0.06218055,0.9824939,0.58234847,0.30340862,0.07208559,0.97692263,0.0011006892,0.07549694,0.8500229,0.5759059,0.54306597,0.34040314,0.093892515,0.96354604,0.005288869,0.055922776,0.8771783,0.21109873,0.50351334,0.37839854,0.7327973,0.9472624,0.012579471,0.03913352,0.9019684,0.17971292,0.46393868,0.41715652,0.6970528,0.9281738,0.022926867,0.99893236,0.9242376,0.1503357,0.75527227,0.45643404,0.66007245,0.9064001,0.03626609,0.9947837,0.94384634,0.12315133,0.7884915,0.49598476,0.62208825,0.2667586,0.05251348,0.98753214,0.9606716,0.09833029,0.81990147,0.53556067,0.58333844,0.30248603,0.07156721,0.97722316,0.0010351241,0.0760282,0.8493054,0.24515945,0.54406595,0.33945215,0.09330776,0.96392137,0.0051442385,0.05638495,0.8765186,0.21191862,0.50451714,0.37742507,0.73368526,0.94771016,0.012356728,0.9999372,0.90137064,0.18048438,0.46493995,0.41616672,0.6979749,0.9286913,0.022627324,0.9989969,0.9237055,0.15105394,0.7544086,0.4554341,0.66102314,0.906984,0.035891682,0.9949273,0.9433833,0.12381184,0.787671,0.494981,0.6230614,0.26587117,0.052066565,0.9877539,7.107854e-5,0.0989289,0.81912935,0.53455937,0.58432806,0.30156428,0.071050584,0.9775217,0.0009715855,0.07656115,0.84858644,0.24602363,0.54506576,0.3385018,0.768777,0.9642948,0.0050016046,0.056848943,0.87585735,0.21273965,0.5055209,0.37645215,0.73457223,0.94815624,0.012135923,0.99992025,0.9007712,0.18125716,0.7186484,0.4151773,0.69889635,0.9292071,0.022329748,0.99905944,0.9231717,0.15177357,0.7535439,0.4544344,0.6619731,0.23079988,0.035519153,0.99506897,0.9429184,0.12447384,0.7868494,0.49397725,0.6240341,0.26498467,0.051621467,0.98797375,8.901954e-5,0.09952912,0.818356,0.2818031,0.5853173,0.30064327,0.07053566,0.97781837,0.0009100437,0.07709584,0.84786606,0.24688882,0.5460654,0.33755213,0.7696229,0.13848403,0.9850849,0.057314724,0.8751946,0.21356183,0.6814466,0.43382916,0.11630842,0.9486004,0.011917084,0.9999013,0.016614407,0.6500523,0.46694294,0.4141882,0.69981694,0.19750345,0.8880309,0.026187688,0.92263615,0.15249464,0.7526782,0.35647053,0.171691,0.908147,0.0351485,0.9952086,0.002502352,0.9715889,0.3886484,0.4929735,0.6250063,0.26409912,0.8334248,0.087949604,0.95949256,0.100130945,0.8175813,0.28270674,0.60468924,0.8574712,0.070022464,0.97811306,0.0008504987,0.99189454,0.043240637,0.5719348,0.54706484,0.3366031,0.77046776,0.1377913,0.98484063,0.057782263,0.8745303,0.21438518,0.6805109,0.4348243,0.115665555,0.9490428,0.011700213,0.9998803,0.016872019,0.9389924,0.46794462,0.41319945,0.70073664,0.19670478,0.8886632,0.026509255,0.922099,0.15321708,0.7518115,0.3574324,0.52524304,0.908726,0.034779727,0.9953462,0.00260368,0.9712544,0.38962725,0.4919698,0.625978,0.26321453,0.8341721,0.08738184,0.95909584,0.10073438,0.81680536,0.28361124,0.60370743,0.8581723,0.069511026,0.97840583,0.0007929802,0.9917135,0.043649912,0.57094127,0.5480641,0.33565474,0.7713115,0.13710004,0.93391955,0.05825159,0.87386453,0.2152097,0.6795744,0.43581966,0.11502424,0.9494834,0.011485308,0.9998573,0.017131537,0.93851095,0.46894643,0.41221106,0.7016556,0.19590735,0.8892939,0.02683273,0.92156005,0.15394092,0.7509438,0.35839483,0.5242405,0.90930337,0.03441283,0.99548185,0.0027069747,0.970918,0.39060652,0.49096614,0.6269492,0.2623309,0.83491814,0.086815715,0.95869726,0.10133943,0.8160281,0.28451663,0.60272527,0.51585525,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diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/huge_positive.json b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/huge_positive.json
new file mode 100644
index 000000000000..e998cfcb6f6e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/huge_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/large_negative.json b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/large_negative.json
new file mode 100644
index 000000000000..4727efa8cc66
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/large_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/large_positive.json
new file mode 100644
index 000000000000..11d11966df41
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/large_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/medium_negative.json b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/medium_negative.json
new file mode 100644
index 000000000000..3db4c92b19c7
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/medium_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/medium_positive.json b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/medium_positive.json
new file mode 100644
index 000000000000..1c38bc4e7056
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/medium_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/runner.jl
new file mode 100755
index 000000000000..b4351e78c25f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/fixtures/julia/runner.jl
@@ -0,0 +1,86 @@
+#!/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 = (1.0f0 .+ sin.( x )) ./ 2.0f0;
+
+ # 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 );
+
+# Negative medium sized values:
+x = Float32.( range( -256.0*pi, stop = 0.0, length = 4000 ) );
+gen( x, "medium_negative.json" );
+
+# Positive medium sized values:
+x = Float32.( range( 0.0, stop = 256.0*pi, length = 4000 ) );
+gen( x, "medium_positive.json" );
+
+# Negative large values:
+x = Float32.( range( -2.0^20*(pi/2.0), stop = -2.0^60*(pi/2.0), length = 4000 ) );
+gen( x, "large_negative.json" );
+
+# Positive large values:
+x = Float32.( range( 2.0^20*(pi/2.0), stop = 2.0^60*(pi/2.0), length = 4000 ) );
+gen( x, "large_positive.json" );
+
+# Negative huge values:
+x = Float32.( range( -2.0^60*(pi/2.0), stop = -2.0^120*(pi/2.0), length = 4000 ) );
+gen( x, "huge_negative.json" );
+
+# Positive huge values:
+x = Float32.( range( 2.0^60*(pi/2.0), stop = 2.0^120*(pi/2.0), length = 4000 ) );
+gen( x, "huge_positive.json" );
diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/test.js b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/test.js
new file mode 100644
index 000000000000..84b6ebebd5b5
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/test.js
@@ -0,0 +1,173 @@
+/**
+* @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 f32 = require( '@stdlib/number/float64/base/to-float32' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var hacovercosf = require( './../lib' );
+
+
+// FIXTURES //
+
+var mediumNegative = require( './fixtures/julia/medium_negative.json' );
+var mediumPositive = require( './fixtures/julia/medium_positive.json' );
+var largeNegative = require( './fixtures/julia/large_negative.json' );
+var largePositive = require( './fixtures/julia/large_positive.json' );
+var hugeNegative = require( './fixtures/julia/huge_negative.json' );
+var hugePositive = require( './fixtures/julia/huge_positive.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof hacovercosf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the half-value coversed cosine (for -256*pi < x < 0)', function test( t ) {
+ var expected;
+ var x;
+ var y;
+ var i;
+
+ x = mediumNegative.x;
+ expected = mediumNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ x[ i ] = f32( x[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ y = hacovercosf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value coversed cosine (for 0 < x < 256*pi)', function test( t ) {
+ var expected;
+ var x;
+ var y;
+ var i;
+
+ x = mediumPositive.x;
+ expected = mediumPositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ x[ i ] = f32( x[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ y = hacovercosf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value coversed cosine (for -2**60 (pi/2) < x < -2**20 (pi/2))', function test( t ) {
+ var expected;
+ var x;
+ var y;
+ var i;
+
+ x = largeNegative.x;
+ expected = largeNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ x[ i ] = f32( x[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ y = hacovercosf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value coversed cosine (for 2**20 (pi/2) < x < 2**60 (pi/2))', function test( t ) {
+ var expected;
+ var x;
+ var y;
+ var i;
+
+ x = largePositive.x;
+ expected = largePositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ x[ i ] = f32( x[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ y = hacovercosf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value coversed cosine (for x <= -2**60 (PI/2))', function test( t ) {
+ var expected;
+ var x;
+ var y;
+ var i;
+
+ x = hugeNegative.x;
+ expected = hugeNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ x[ i ] = f32( x[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ y = hacovercosf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value coversed cosine (for x >= 2**60 (PI/2))', function test( t ) {
+ var expected;
+ var x;
+ var y;
+ var i;
+
+ x = hugePositive.x;
+ expected = hugePositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ x[ i ] = f32( x[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ y = hacovercosf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a `NaN`', function test( t ) {
+ var v = hacovercosf( NaN );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `+infinity`', function test( t ) {
+ var v = hacovercosf( PINF );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `-infinity`', function test( t ) {
+ var v = hacovercosf( NINF );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/test.native.js
new file mode 100644
index 000000000000..098d1ff75b7d
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/hacovercosf/test/test.native.js
@@ -0,0 +1,182 @@
+/**
+* @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 f32 = require( '@stdlib/number/float64/base/to-float32' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+
+// VARIABLES //
+
+var hacovercosf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( hacovercosf instanceof Error )
+};
+
+
+// FIXTURES //
+
+var mediumNegative = require( './fixtures/julia/medium_negative.json' );
+var mediumPositive = require( './fixtures/julia/medium_positive.json' );
+var largeNegative = require( './fixtures/julia/large_negative.json' );
+var largePositive = require( './fixtures/julia/large_positive.json' );
+var hugeNegative = require( './fixtures/julia/huge_negative.json' );
+var hugePositive = require( './fixtures/julia/huge_positive.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof hacovercosf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the half-value coversed cosine (for -256*pi < x < 0)', opts, function test( t ) {
+ var expected;
+ var x;
+ var y;
+ var i;
+
+ x = mediumNegative.x;
+ expected = mediumNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ x[ i ] = f32( x[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ y = hacovercosf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value coversed cosine (for 0 < x < 256*pi)', opts, function test( t ) {
+ var expected;
+ var x;
+ var y;
+ var i;
+
+ x = mediumPositive.x;
+ expected = mediumPositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ x[ i ] = f32( x[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ y = hacovercosf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value coversed cosine (for -2**60 (pi/2) < x < -2**20 (pi/2))', opts, function test( t ) {
+ var expected;
+ var x;
+ var y;
+ var i;
+
+ x = largeNegative.x;
+ expected = largeNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ x[ i ] = f32( x[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ y = hacovercosf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value coversed cosine (for 2**20 (pi/2) < x < 2**60 (pi/2))', opts, function test( t ) {
+ var expected;
+ var x;
+ var y;
+ var i;
+
+ x = largePositive.x;
+ expected = largePositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ x[ i ] = f32( x[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ y = hacovercosf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value coversed cosine (for x <= -2**60 (PI/2))', opts, function test( t ) {
+ var expected;
+ var x;
+ var y;
+ var i;
+
+ x = hugeNegative.x;
+ expected = hugeNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ x[ i ] = f32( x[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ y = hacovercosf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value coversed cosine (for x >= 2**60 (PI/2))', opts, function test( t ) {
+ var expected;
+ var x;
+ var y;
+ var i;
+
+ x = hugePositive.x;
+ expected = hugePositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ x[ i ] = f32( x[ i ] );
+ expected[ i ] = f32( expected[ i ] );
+ y = hacovercosf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a `NaN`', opts, function test( t ) {
+ var v = hacovercosf( NaN );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `+infinity`', opts, function test( t ) {
+ var v = hacovercosf( PINF );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `-infinity`', opts, function test( t ) {
+ var v = hacovercosf( NINF );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});