diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/README.md b/lib/node_modules/@stdlib/math/base/special/haversinf/README.md
new file mode 100644
index 000000000000..6e97ddff34c8
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/README.md
@@ -0,0 +1,200 @@
+
+
+# Haversine
+
+> Compute the half-value [versed sine][versed-sine] of a single-precision floating-point number (in radians).
+
+
+
+The half-value [versed sine][versed-sine] is defined as
+
+
+
+```math
+\mathop{\mathrm{haversin}}(\theta) = \frac{1 - \cos \theta}{2}
+```
+
+
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var haversinf = require( '@stdlib/math/base/special/haversinf' );
+```
+
+#### haversinf( x )
+
+Computes the half-value [versed sine][versed-sine] of a single-precision floating-point number (in radians).
+
+```javascript
+var v = haversinf( 0.0 );
+// returns 0.0
+
+v = haversinf( 3.141592653589793/2.0 );
+// returns 0.5
+
+v = haversinf( -3.141592653589793/6.0 );
+// returns ~0.067
+```
+
+
+
+
+
+
+
+## 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 haversinf = require( '@stdlib/math/base/special/haversinf' );
+
+var opts = {
+ 'dtype': 'float32'
+};
+var x = uniform( 100, 0.0, TWO_PI, opts );
+
+logEachMap( 'haversinf(%0.4f) = %0.4f', x, haversinf );
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/haversinf.h"
+```
+
+#### stdlib_base_haversinf( x )
+
+Computes the half-value [versed sine][versed-sine] of a single-precision floating-point number (in radians).
+
+```c
+float out = stdlib_base_haversinf( 0.0f );
+// returns 0.0f
+
+out = stdlib_base_haversinf( 3.141592653589793f / 2.0f );
+// returns 0.5f
+```
+
+The function accepts the following arguments:
+
+- **x**: `[in] float` input value.
+
+```c
+float stdlib_base_haversinf( const float x );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/haversinf.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_haversinf( x[ i ] );
+ printf( "haversinf(%f) = %f\n", x[ i ], y );
+ }
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[versed-sine]: https://en.wikipedia.org/wiki/Versine
+
+
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/haversinf/benchmark/benchmark.js
new file mode 100644
index 000000000000..7ef4e81bb82a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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 haversinf = 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 = haversinf( 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/haversinf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/haversinf/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..b4f8f0952d9c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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 haversinf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( haversinf 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 = haversinf( 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/haversinf/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/haversinf/benchmark/c/Makefile
new file mode 100644
index 000000000000..d564e8b2d6f9
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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/haversinf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/haversinf/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..87a4654e6119
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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 "haversinf"
+#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 - cosf( 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/haversinf/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/haversinf/benchmark/c/native/Makefile
new file mode 100644
index 000000000000..a4bd7b38fd74
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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/haversinf/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/haversinf/benchmark/c/native/benchmark.c
new file mode 100644
index 000000000000..ba3fb9ab0baa
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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/haversinf.h"
+#include
+#include
+#include
+#include
+#include
+
+#define NAME "haversinf"
+#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_haversinf( 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/haversinf/binding.gyp b/lib/node_modules/@stdlib/math/base/special/haversinf/binding.gyp
new file mode 100644
index 000000000000..68a1ca11d160
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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/haversinf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/haversinf/docs/repl.txt
new file mode 100644
index 000000000000..eefdad3029ea
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/docs/repl.txt
@@ -0,0 +1,33 @@
+
+{{alias}}( x )
+ Computes the half-value versed sine of a single-precision floating-point
+ number (in radians).
+
+ The half-value versed sine is defined as `(1 - cos(x)) / 2`.
+
+ Parameters
+ ----------
+ x: number
+ Input value (in radians).
+
+ Returns
+ -------
+ y: number
+ Half-value versed sine.
+
+ Examples
+ --------
+ > var y = {{alias}}( 3.14 )
+ ~1.0
+ > y = {{alias}}( -4.2 )
+ ~0.7451
+ > y = {{alias}}( -4.6 )
+ ~0.5561
+ > y = {{alias}}( 9.5 )
+ ~0.9986
+ > y = {{alias}}( -0.0 )
+ 0.0
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/haversinf/docs/types/index.d.ts
new file mode 100644
index 000000000000..3da82b568820
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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 versed sine of a single-precision floating-point number (in radians).
+*
+* ## Notes
+*
+* - The half-value versed sine is defined as `(1 - cos(x)) / 2`.
+*
+* @param x - input value (in radians)
+* @returns half-value versed sine
+*
+* @example
+* var v = haversinf( 0.0 );
+* // returns 0.0
+*
+* @example
+* var v = haversinf( 3.141592653589793/2.0 );
+* // returns 0.5
+*
+* @example
+* var v = haversinf( -3.141592653589793/6.0 );
+* // returns ~0.067
+*
+* @example
+* var v = haversinf( NaN );
+* // returns NaN
+*/
+declare function haversinf( x: number ): number;
+
+
+// EXPORTS //
+
+export = haversinf;
diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/haversinf/docs/types/test.ts
new file mode 100644
index 000000000000..11d7ddb138fd
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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 haversinf = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ haversinf( 8 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+ haversinf( true ); // $ExpectError
+ haversinf( false ); // $ExpectError
+ haversinf( null ); // $ExpectError
+ haversinf( undefined ); // $ExpectError
+ haversinf( '5' ); // $ExpectError
+ haversinf( [] ); // $ExpectError
+ haversinf( {} ); // $ExpectError
+ haversinf( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+ haversinf(); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/haversinf/examples/c/Makefile
new file mode 100644
index 000000000000..25ced822f96a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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/haversinf/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/haversinf/examples/c/example.c
new file mode 100644
index 000000000000..adf399f50153
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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/haversinf.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_haversinf( x[ i ] );
+ printf( "haversinf(%f) = %f\n", x[ i ], y );
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/haversinf/examples/index.js
new file mode 100644
index 000000000000..3802e97702b6
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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 haversinf = require( './../lib' );
+
+var opts = {
+ 'dtype': 'float32'
+};
+var x = uniform( 100, 0.0, TWO_PI, opts );
+
+logEachMap( 'haversinf(%0.4f) = %0.4f', x, haversinf );
diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/include.gypi b/lib/node_modules/@stdlib/math/base/special/haversinf/include.gypi
new file mode 100644
index 000000000000..ecfaf82a3279
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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",
+ "haversin",
+ "haversinf",
+ "haversine",
+ "haversed",
+ "hv",
+ "hvs",
+ "sem",
+ "havers",
+ "semiversinus",
+ "semiversin",
+ "semiversus",
+ "cosine",
+ "sine",
+ "cos",
+ "sin",
+ "trig",
+ "trigonometry",
+ "radians",
+ "angle"
+ ],
+ "__stdlib__": {
+ "scaffold": {
+ "$schema": "math/base@v1.0",
+ "base_alias": "haversin",
+ "alias": "haversinf",
+ "pkg_desc": "compute the half-value versed sine",
+ "desc": "computes the half-value versed sine",
+ "short_desc": "half-value versed sine",
+ "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 versed sine",
+ "type": {
+ "javascript": "number",
+ "jsdoc": "number",
+ "c": "float",
+ "dtype": "float32"
+ }
+ },
+ "keywords": [
+ "haversin",
+ "haversinf",
+ "haversine",
+ "haversed",
+ "hv",
+ "hvs",
+ "sem",
+ "havers",
+ "semiversinus",
+ "semiversin",
+ "semiversus",
+ "cosine",
+ "sine",
+ "cos",
+ "sin",
+ "trig",
+ "trigonometry",
+ "radians",
+ "angle"
+ ],
+ "extra_keywords": []
+ }
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/src/Makefile b/lib/node_modules/@stdlib/math/base/special/haversinf/src/Makefile
new file mode 100644
index 000000000000..7733b6180cb4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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/haversinf/src/addon.c b/lib/node_modules/@stdlib/math/base/special/haversinf/src/addon.c
new file mode 100644
index 000000000000..7893ecd111e0
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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/haversinf.h"
+#include "stdlib/math/base/napi/unary.h"
+
+STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_haversinf )
diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/src/main.c b/lib/node_modules/@stdlib/math/base/special/haversinf/src/main.c
new file mode 100644
index 000000000000..f3901c6b5b77
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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/haversinf.h"
+#include "stdlib/math/base/special/cosf.h"
+
+/**
+* Computes the half-value versed sine of a single-precision floating-point number (in radians).
+*
+* @param x input value (in radians)
+* @return half-value versed sine
+*
+* @example
+* float y = stdlib_base_haversinf( 0.0f );
+* // returns 0.0f
+*/
+float stdlib_base_haversinf( const float x ) {
+ return ( 1.0f - stdlib_base_cosf( x ) ) / 2.0f;
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/REQUIRE
new file mode 100644
index 000000000000..308c3be89c85
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/huge_negative.json b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/huge_negative.json
new file mode 100644
index 000000000000..ac962013e412
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/huge_negative.json
@@ -0,0 +1 @@
+{"expected":[0.9970601,0.00430727,0.017154902,0.038321495,0.06744239,0.15093929,0.14741182,0.25588423,0.2515757,0.3775803,0.51262647,0.5076768,0.5027263,0.49777558,0.76163,0.75739837,0.75314146,0.74885976,0.9400537,0.9376817,0.9993623,0.9995878,0.99976426,0.99989176,0.99997026,0.99999976,0.9999802,0.7217728,0.726199,0.730603,0.7349844,0.7393427,0.7436776,0.7479886,0.7522753,0.22128716,0.225411,0.22956178,0.23373905,0.23794243,0.002549231,0.24642584,0.0016482472,0.2550087,0.00094270706,0.2636876,0.00043284893,0.30113587,0.000118911266,0.29209077,1.013279e-6,0.28312725,7.915497e-5,0.27424875,0.8032673,0.26545876,0.7953361,0.25676078,0.7872891,0.24815819,0.7791294,0.23965433,0.77086025,0.996294,0.7624849,0.9973999,0.7540066,0.9983108,0.7454287,0.99902624,0.6892766,0.99954605,0.69840354,0.9998699,0.70745265,0.99999774,0.7164204,0.18852761,0.7253033,0.1963338,0.010170907,0.20425904,0.7428006,0.9985491,0.006582141,0.22045434,0.759917,0.3484153,0.003767252,0.23708805,0.7766259,0.3296681,0.0017307103,0.25413412,0.84181225,0.31118804,0.00047561526,0.27156585,0.82709503,0.29300413,4.0233135e-6,0.9853517,0.81186485,0.27514488,0.00031664968,0.9897281,0.7961455,0.2576383,0.6321157,0.99333644,0.7799617,0.24051186,0.65110636,0.996171,0.76333874,0.14365444,0.66985995,0.99822736,0.7463028,0.15782163,0.6883471,0.99950224,0.7288805,0.1725255,0.7065389,0.9999937,0.014769137,0.18774301,0.7244067,0.99970096,0.010373324,0.20345026,0.74192256,0.3683684,0.0067454875,0.21962261,0.75905895,0.34937215,0.0038912594,0.23623472,0.85669744,0.33061218,0.0018151402,0.25326055,0.8425442,0.31211793,0.00052040815,0.9799335,0.8278536,0.2939183,9.059906e-6,0.98510957,0.81264883,0.27604192,0.61193985,0.9895247,0.7969537,0.2585168,0.6311474,0.9931721,0.040269822,0.24137044,0.65014917,0.46684158,0.7641915,0.14295101,0.0057953,0.9981419,0.026155263,0.20832086,0.68741685,0.42746806,0.7297725,0.17176762,0.9080883,0.99998766,0.015012294,0.94249904,0.7235092,0.3885494,0.69391257,0.20264265,0.88394815,0.9986979,0.006910801,0.9595326,0.75819993,0.35032964,0.5326576,0.2353825,0.8574002,0.07007432,0.0019015968,0.9736843,0.7912713,0.31304854,0.5720353,0.26978183,0.82861084,0.091621906,1.6123056e-5,0.9848654,0.057734877,0.27693987,0.61096126,0.3056249,0.7977607,0.115730524,0.0012661517,0.99300575,0.040665448,0.24223003,0.6491914,0.46784326,0.76504326,0.14224902,0.93018174,0.9980544,0.026476622,0.20913675,0.6864859,0.4284614,0.7306636,0.17101103,0.90866745,0.9999796,0.015257388,0.9420308,0.72261083,0.38952816,0.49207136,0.20183623,0.8845904,0.9987693,0.007078111,0.95913607,0.7573397,0.35128772,0.53165585,0.23453131,0.8581015,0.0695627,0.0019900799,0.97336197,0.79045486,0.31397992,0.5710418,0.26889122,0.82936674,0.09104353,2.5182962e-5,0.9846193,0.058204025,0.2778387,0.60998225,0.5084305,0.7985665,0.11508906,0.0011957884,0.9928375,0.04106289,0.24309069,0.648233,0.46884507,0.7658939,0.14154845,0.93069243,0.997965,0.026799887,0.92161465,0.6855541,0.42945504,0.73155373,0.17025578,0.909245,0.9999695,0.01550445,0.94156075,0.7217115,0.3905074,0.4910677,0.20103103,0.88523114,0.050341368,0.007247418,0.9587377,0.75647855,0.35224643,0.530654,0.2336812,0.85880125,0.069052815,0.0020805597,0.9730377,0.07865536,0.31491208,0.57004803,0.2680015,0.83012134,0.09046683,3.6269426e-5,0.9843713,0.05867496,0.27873844,0.6090028,0.5094341,0.7993711,0.11444914,0.94987786,0.9926672,0.041462213,0.2439524,0.647274,0.469847,0.7667434,0.14084935,0.93120146,0.9978734,0.02712509,0.92107415,0.1545927,0.37878686,0.732443,0.16950187,0.9098209,0.034084648,0.9956021,0.1794056,0.72081137,0.39148706,0.49006405,0.6278217,0.023046851,0.998906,0.007418692,0.9583374,0.10188463,0.8153284,0.6596931,0.23283216,0.8594997,0.068544656,0.97895646,0.12288836,0.78881836,0.31584495,0.569054,0.549961,0.33385575,0.98744315,4.938245e-5,0.9841213,0.059147686,0.8725962,0.2167784,0.30285388,0.8001745,0.11381078,0.950315,0.011082649,0.8495917,0.24481511,0.6463144,0.47084904,0.41033524,0.70339835,0.0052016675,0.99777997,0.02745217,0.92053205,0.15531918,0.37781325,0.73333126,0.16874927,0.91039515,0.033721298,0.9957339,0.18017656,0.71991026,0.3924672,0.48906046,0.62879187,0.26065564,0.9989714,0.007591963,0.95793533,0.10249275,0.81454873,0.66064405,0.2319842,0.8601966,0.068038225,0.97924364,0.0006376207,0.7879983,0.31677857,0.5680597,0.5509597,0.33290932,0.9876657,6.4492226e-5,0.9838693,0.05962217,0.87192607,0.21760622,0.30193177,0.8009767,0.11317396,0.95075035,0.010873467,0.84887326,0.24567887,0.6453543,0.4718512,0.4093479,0.70431495,0.005058259,0.9976845,0.027781159,0.91998816,0.15604708,0.7484227,0.7342186,0.16799802,0.9109677,0.033359855,0.9958638,0.18094882,0.7190083,0.39344773,0.4880569,0.6297615,0.2597748,0.99903476,0.0077672303,0.95753145,0.103102446,0.8137678,0.66159433,0.23113734,0.86089206,0.06753355,0.9795289,0.0005879402,0.7871772,0.31771293,0.56706506,0.5519582,0.33196354,0.9878863,8.162856e-5,0.98361546,0.06009844,0.87125444,0.21843517,0.3010105,0.80177766,0.112538725,0.9511839,0.010666251,0.9997486,0.2465436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diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/huge_positive.json b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/huge_positive.json
new file mode 100644
index 000000000000..e5c55734d0f9
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/huge_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/large_negative.json b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/large_negative.json
new file mode 100644
index 000000000000..ab8ee3049465
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/large_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/large_positive.json
new file mode 100644
index 000000000000..7e0bb143bb94
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/large_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/medium_negative.json b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/medium_negative.json
new file mode 100644
index 000000000000..5d5a54930fb2
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/medium_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/medium_positive.json b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/medium_positive.json
new file mode 100644
index 000000000000..ea3540fcf1f2
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/medium_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/haversinf/test/fixtures/julia/runner.jl
new file mode 100755
index 000000000000..d0694368b824
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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 .- cos.( 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/haversinf/test/test.js b/lib/node_modules/@stdlib/math/base/special/haversinf/test/test.js
new file mode 100644
index 000000000000..0c26198aeff5
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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 haversinf = 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 haversinf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the half-value versed sine (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 = haversinf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value versed sine (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 = haversinf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value versed sine (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 = haversinf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value versed sine (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 = haversinf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value versed sine (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 = haversinf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value versed sine (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 = haversinf( 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 = haversinf( NaN );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `+infinity`', function test( t ) {
+ var v = haversinf( PINF );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `-infinity`', function test( t ) {
+ var v = haversinf( NINF );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/haversinf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/haversinf/test/test.native.js
new file mode 100644
index 000000000000..eb0942277e06
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/haversinf/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 haversinf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( haversinf 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 haversinf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the half-value versed sine (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 = haversinf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value versed sine (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 = haversinf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value versed sine (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 = haversinf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value versed sine (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 = haversinf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value versed sine (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 = haversinf( x[ i ] );
+ t.strictEqual( y, expected[ i ], 'returns expected value' );
+ }
+ t.end();
+});
+
+tape( 'the function computes the half-value versed sine (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 = haversinf( 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 = haversinf( 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 = haversinf( 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 = haversinf( NINF );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});