diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/README.md b/lib/node_modules/@stdlib/math/base/special/aversinf/README.md
new file mode 100644
index 00000000000..e845ad7aa2e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/README.md
@@ -0,0 +1,215 @@
+
+
+# Arcversinef
+
+> Compute the [inverse versed sine][inverse-versed-sine] of a single-precision floating-point number (in radians).
+
+
+
+The [inverse versed sine][inverse-versed-sine] is defined as
+
+
+
+```math
+\mathop{\mathrm{aversinf}}(\theta) = \arccos(1-\theta)
+```
+
+
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var aversinf = require( '@stdlib/math/base/special/aversinf' );
+```
+
+#### aversinf( x )
+
+Computes the [inverse versed sine][inverse-versed-sine] of a single-precision floating-point number (in radians).
+
+```javascript
+var v = aversinf( 0.0 );
+// returns 0.0
+
+v = aversinf( 3.141592653589793 / 2.0 );
+// returns ~2.1783
+
+v = aversinf( 3.141592653589793 / 6.0 );
+// returns ~1.0742
+```
+
+If `x < 0`, `x > 2`, or `x` is `NaN`, the function returns `NaN`.
+
+```javascript
+var v = aversinf( -1.0 );
+// returns NaN
+
+v = aversinf( 3.14 );
+// returns NaN
+
+v = aversinf( NaN );
+// returns NaN
+```
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var linspace = require( '@stdlib/array/base/linspace' );
+var aversinf = require( '@stdlib/math/base/special/aversinf' );
+
+var x = linspace( 0.0, 2.0, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+ console.log( aversinf( x[ i ] ) );
+}
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/aversinf.h"
+```
+
+#### stdlib_base_aversinf( x )
+
+Compute the [inverse versed sine][inverse-versed-sine] of a single-precision floating-point number (in radians).
+
+```c
+float out = stdlib_base_aversinf( 3.141592653589793f / 2.0f );
+// returns ~2.1783f
+```
+
+If `x < 0`, `x > 2`, or `x` is `NaN`, the function returns `NaN`.
+
+```c
+float out = stdlib_base_aversinf( 3.141592653589793f );
+// returns NaN
+```
+
+The function accepts the following arguments:
+
+- **x**: `[in] float` input value.
+
+```c
+float stdlib_base_aversinf( const float x );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/aversinf.h"
+#include
+
+int main( void ) {
+ const float x[] = { -2.5f, -2.0f, -1.5f, -1.0f, -0.5f, 0.5f, 1.0f, 1.5f, 2.0f, 2.5f };
+
+ float v;
+ int i;
+ for ( i = 0; i < 10; i++ ) {
+ v = stdlib_base_aversinf( x[ i ] );
+ printf( "aversinf(%f) = %f\n", x[ i ], v );
+ }
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[inverse-versed-sine]: https://en.wikipedia.org/wiki/Versine
+
+
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/aversinf/benchmark/benchmark.js
new file mode 100644
index 00000000000..49a5c5f5b94
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/benchmark/benchmark.js
@@ -0,0 +1,52 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 randu = require( '@stdlib/random/array/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pkg = require( './../package.json' ).name;
+var aversinf = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = randu( 100, 0.0, 2.0 );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = aversinf( 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/aversinf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/aversinf/benchmark/benchmark.native.js
new file mode 100644
index 00000000000..8640ab8c665
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/benchmark/benchmark.native.js
@@ -0,0 +1,61 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 randu = 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 aversinf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( aversinf instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = randu( 100, 0.0, 2.0 );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = aversinf( 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/aversinf/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/aversinf/benchmark/c/native/Makefile
new file mode 100644
index 00000000000..f69e9da2b4d
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/benchmark/c/native/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2024 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/aversinf/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/aversinf/benchmark/c/native/benchmark.c
new file mode 100644
index 00000000000..8a51b45a1fa
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/benchmark/c/native/benchmark.c
@@ -0,0 +1,136 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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/aversinf.h"
+#include
+#include
+#include
+#include
+#include
+
+#define NAME "aversinf"
+#define ITERATIONS 1000000
+#define REPEATS 3
+
+/**
+* Prints the TAP version.
+*/
+static void print_version( void ) {
+ printf( "TAP version 13\n" );
+}
+
+/**
+* Prints the TAP summary.
+*
+* @param total total number of tests
+* @param passing total number of passing tests
+*/
+static void print_summary( int total, int passing ) {
+ printf( "#\n" );
+ printf( "1..%d\n", total ); // TAP plan
+ printf( "# total %d\n", total );
+ printf( "# pass %d\n", passing );
+ printf( "#\n" );
+ printf( "# ok\n" );
+}
+
+/**
+* Prints benchmarks results.
+*
+* @param elapsed elapsed time in seconds
+*/
+static void print_results( double elapsed ) {
+ double rate = (double)ITERATIONS / elapsed;
+ printf( " ---\n" );
+ printf( " iterations: %d\n", ITERATIONS );
+ printf( " elapsed: %0.9f\n", elapsed );
+ printf( " rate: %0.9f\n", rate );
+ printf( " ...\n" );
+}
+
+/**
+* Returns a clock time.
+*
+* @return clock time
+*/
+static double tic( void ) {
+ struct timeval now;
+ gettimeofday( &now, NULL );
+ return (double)now.tv_sec + (double)now.tv_usec/1.0e6;
+}
+
+/**
+* Generates a random number on the interval [0,1).
+*
+* @return random number
+*/
+static float rand_float( void ) {
+ int r = rand();
+ return (float)r / ( (float)RAND_MAX + 1.0f );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+ double elapsed;
+ double t;
+ float x[ 100 ];
+ float y;
+ int i;
+
+ for ( i = 0; i < 100; i++ ) {
+ x[ i ] = 2.0f * rand_float();
+ }
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ y = stdlib_base_aversinf( 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/aversinf/binding.gyp b/lib/node_modules/@stdlib/math/base/special/aversinf/binding.gyp
new file mode 100644
index 00000000000..ec399223344
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/binding.gyp
@@ -0,0 +1,170 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2024 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/aversinf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/aversinf/docs/repl.txt
new file mode 100644
index 00000000000..dfd81d301a5
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/docs/repl.txt
@@ -0,0 +1,29 @@
+
+{{alias}}( x )
+ Computes the inverse versed sine of a single-precision
+ floating-point number (in radians).
+
+ The inverse versed sine is defined as `acos(1-x)`.
+
+ If `x < 0`, `x > 2`, or `x` is `NaN`, the function returns `NaN`.
+
+ Parameters
+ ----------
+ x: number
+ Input value.
+
+ Returns
+ -------
+ y: number
+ Inverse versed sine.
+
+ Examples
+ --------
+ > var y = {{alias}}( 1.5 )
+ ~2.0906
+ > y = {{alias}}( 0.0 )
+ 0.0
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/aversinf/docs/types/index.d.ts
new file mode 100644
index 00000000000..e281eebb274
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/docs/types/index.d.ts
@@ -0,0 +1,48 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 inverse versed sine of a single-precision floating-point number (in radians).
+*
+* @param x - input value
+* @returns inverse versed sine
+*
+* @example
+* var v = aversinf( 0.0 );
+* // returns 0.0
+*
+* @example
+* var v = aversinf( 3.141592653589793 / 2.0 );
+* // returns ~2.1783
+*
+* @example
+* var v = aversinf( 3.141592653589793 / 6.0 );
+* // returns ~1.0742
+*
+* @example
+* var v = aversinf( NaN );
+* // returns NaN
+*/
+declare function aversinf( x: number ): number;
+
+
+// EXPORTS //
+
+export = aversinf;
diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/aversinf/docs/types/test.ts
new file mode 100644
index 00000000000..873b5119a71
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/docs/types/test.ts
@@ -0,0 +1,44 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 aversinf = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ aversinf( 8 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+ aversinf( true ); // $ExpectError
+ aversinf( false ); // $ExpectError
+ aversinf( null ); // $ExpectError
+ aversinf( undefined ); // $ExpectError
+ aversinf( '5' ); // $ExpectError
+ aversinf( [] ); // $ExpectError
+ aversinf( {} ); // $ExpectError
+ aversinf( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+ aversinf(); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/aversinf/examples/c/Makefile
new file mode 100644
index 00000000000..6aed70daf16
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/examples/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2024 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/aversinf/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/aversinf/examples/c/example.c
new file mode 100644
index 00000000000..8684cb95d9a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/examples/c/example.c
@@ -0,0 +1,31 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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/aversinf.h"
+#include
+
+int main( void ) {
+ const float x[] = { -2.5f, -2.0f, -1.5f, -1.0f, -0.5f, 0.5f, 1.0f, 1.5f, 2.0f, 2.5f };
+
+ float v;
+ int i;
+ for ( i = 0; i < 10; i++ ) {
+ v = stdlib_base_aversinf( x[ i ] );
+ printf( "aversinf(%f) = %f\n", x[ i ], v );
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/aversinf/examples/index.js
new file mode 100644
index 00000000000..751a59ef867
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/examples/index.js
@@ -0,0 +1,29 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var linspace = require( '@stdlib/array/base/linspace' );
+var aversinf = require( './../lib' );
+
+var x = linspace( 0.0, 2.0, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+ console.log( 'aversinf(%d) = %d', x[ i ], aversinf( x[ i ] ) );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/include.gypi b/lib/node_modules/@stdlib/math/base/special/aversinf/include.gypi
new file mode 100644
index 00000000000..575cb043c0b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/include.gypi
@@ -0,0 +1,53 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2024 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",
+ "aversin",
+ "aversine",
+ "arcversin",
+ "arcversine",
+ "versed sine",
+ "aversinus",
+ "arcvers",
+ "avers",
+ "aver",
+ "arc",
+ "versed",
+ "sine",
+ "sin",
+ "acos",
+ "trig",
+ "trigonometry",
+ "radians",
+ "angle"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/src/Makefile b/lib/node_modules/@stdlib/math/base/special/aversinf/src/Makefile
new file mode 100644
index 00000000000..bcf18aa4665
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/src/Makefile
@@ -0,0 +1,70 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2024 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/aversinf/src/addon.c b/lib/node_modules/@stdlib/math/base/special/aversinf/src/addon.c
new file mode 100644
index 00000000000..95f876525fb
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/src/addon.c
@@ -0,0 +1,23 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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/aversinf.h"
+#include "stdlib/math/base/napi/unary.h"
+
+// cppcheck-suppress shadowFunction
+STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_aversinf )
diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/src/main.c b/lib/node_modules/@stdlib/math/base/special/aversinf/src/main.c
new file mode 100644
index 00000000000..58be7a15392
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/src/main.c
@@ -0,0 +1,34 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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/aversinf.h"
+#include "stdlib/math/base/special/acosf.h"
+
+/**
+* Computes the inverse versed sine of a single-precision floating-point number (in radians).
+*
+* @param x input value
+* @return output value
+*
+* @example
+* float out = stdlib_base_aversinf( 3.141592653589793f / 6.0f );
+* // returns ~1.0742f
+*/
+float stdlib_base_aversinf( const float x ) {
+ return stdlib_base_acosf( 1.0f - x );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/aversinf/test/fixtures/julia/REQUIRE
new file mode 100644
index 00000000000..308c3be89c8
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/test/fixtures/julia/data.json b/lib/node_modules/@stdlib/math/base/special/aversinf/test/fixtures/julia/data.json
new file mode 100644
index 00000000000..2d711bd18bd
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/test/fixtures/julia/data.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/aversinf/test/fixtures/julia/runner.jl
new file mode 100644
index 00000000000..434a91de549
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/test/fixtures/julia/runner.jl
@@ -0,0 +1,70 @@
+#!/usr/bin/env julia
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2024 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( -1, stop = 1, length = 2001 );
+julia> gen( x, \"data.json\" );
+```
+"""
+function gen( domain, name )
+ x = collect( domain );
+ y = acos.( 1.0 .- x );
+
+ # Store data to be written to file as a collection:
+ data = Dict([
+ ("x", x),
+ ("expected", y)
+ ]);
+
+ # Based on the script directory, create an output filepath:
+ filepath = joinpath( dir, name );
+
+ # Write the data to the output filepath as JSON:
+ outfile = open( filepath, "w" );
+ write( outfile, JSON.json(data) );
+ write( outfile, "\n" );
+ close( outfile );
+end
+
+# Get the filename:
+file = @__FILE__;
+
+# Extract the directory in which this file resides:
+dir = dirname( file );
+
+# Generate fixture data for decimal values:
+x = range( 0.0, stop = 2.0, length = 2003 );
+gen( x, "data.json" );
+
+# Generate fixture data for small positive values:
+x = range( 1e-20, stop = 1e-28, length = 2003 );
+gen( x, "small_positive.json" );
diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/test/fixtures/julia/small_positive.json b/lib/node_modules/@stdlib/math/base/special/aversinf/test/fixtures/julia/small_positive.json
new file mode 100644
index 00000000000..aab87774ef6
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/test/fixtures/julia/small_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/test/test.js b/lib/node_modules/@stdlib/math/base/special/aversinf/test/test.js
new file mode 100644
index 00000000000..b9f91ece146
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/test/test.js
@@ -0,0 +1,122 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var randu = require( '@stdlib/random/base/randu' );
+var absf = require( '@stdlib/math/base/special/absf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var aversinf = require( './../lib' );
+
+
+// FIXTURES //
+
+var data = require( './fixtures/julia/data.json' );
+var smallPositive = require( './fixtures/julia/small_positive.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof aversinf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the inverse versed sine', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = data.x;
+ expected = data.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ e = float64ToFloat32( expected[ i ] );
+ y = aversinf( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.strictEqual( y, e, 'x: '+x[ i ]+'. Expected: '+e );
+ } else {
+ delta = absf( y - e );
+ tol = 114.0 * EPS * absf( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the inverse versed sine (small positive numbers)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = smallPositive.x;
+ expected = smallPositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ e = float64ToFloat32( expected[ i ] );
+ y = aversinf( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.strictEqual( y, e, 'x: '+x[ i ]+'. Expected: '+e );
+ } else {
+ delta = absf( y - e );
+ tol = EPS * absf( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', function test( t ) {
+ var v = aversinf( NaN );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a value less than `0`', function test( t ) {
+ var v;
+ var i;
+ for ( i = 0; i < 1e4; i++ ) {
+ v = -( randu() * 1.0e6 ) - ( 0.0 + EPS );
+ t.strictEqual( isnanf( aversinf( v ) ), true, 'returns expected value when provided '+v );
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a value greater than `2`', function test( t ) {
+ var v;
+ var i;
+ for ( i = 0; i < 1e4; i++ ) {
+ v = ( randu() * 1.0e6 ) + 2.0 + EPS;
+ t.strictEqual( isnanf( aversinf( v ) ), true, 'returns expected value when provided '+v );
+ }
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/aversinf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/aversinf/test/test.native.js
new file mode 100644
index 00000000000..ae4dc5de55e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/aversinf/test/test.native.js
@@ -0,0 +1,131 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 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 randu = require( '@stdlib/random/base/randu' );
+var absf = require( '@stdlib/math/base/special/absf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+
+// VARIABLES //
+
+var aversinf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( aversinf instanceof Error )
+};
+
+
+// FIXTURES //
+
+var data = require( './fixtures/julia/data.json' );
+var smallPositive = require( './fixtures/julia/small_positive.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof aversinf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the inverse versed sine', opts, function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = data.x;
+ expected = data.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ e = float64ToFloat32( expected[ i ] );
+ y = aversinf( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.strictEqual( y, e, 'x: '+x[ i ]+'. Expected: '+e );
+ } else {
+ delta = absf( y - e );
+ tol = 114.0 * EPS * absf( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the inverse versed sine (small positive numbers)', opts, function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = smallPositive.x;
+ expected = smallPositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ e = float64ToFloat32( expected[ i ] );
+ y = aversinf( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.strictEqual( y, e, 'x: '+x[ i ]+'. Expected: '+e );
+ } else {
+ delta = absf( y - e );
+ tol = EPS * absf( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) {
+ var v = aversinf( NaN );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a value less than `0`', opts, function test( t ) {
+ var v;
+ var i;
+ for ( i = 0; i < 1e4; i++ ) {
+ v = -( randu() * 1.0e6 ) - ( 0.0 + EPS );
+ t.strictEqual( isnanf( aversinf( v ) ), true, 'returns expected value when provided '+v );
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a value greater than `2`', opts, function test( t ) {
+ var v;
+ var i;
+ for ( i = 0; i < 1e4; i++ ) {
+ v = ( randu() * 1.0e6 ) + 2.0 + EPS;
+ t.strictEqual( isnanf( aversinf( v ) ), true, 'returns expected value when provided '+v );
+ }
+ t.end();
+});