From 3b047e51ba4a90ef6253b5ba964345a0c4bd453d Mon Sep 17 00:00:00 2001
From: ShabiShett07 <shabishetty07@gmail.com>
Date: Sat, 25 Jan 2025 23:17:44 +0530
Subject: [PATCH] feat: add C implementation math/base/special/atan2f

---
 .../math/base/special/atan2f/README.md        | 209 ++++++++++++++
 .../special/atan2f/benchmark/benchmark.js     |  83 ++++++
 .../atan2f/benchmark/benchmark.native.js      |  62 +++++
 .../base/special/atan2f/benchmark/c/Makefile  | 146 ++++++++++
 .../special/atan2f/benchmark/c/benchmark.c    | 135 ++++++++++
 .../math/base/special/atan2f/binding.gyp      | 170 ++++++++++++
 .../math/base/special/atan2f/docs/repl.txt    |  41 +++
 .../base/special/atan2f/docs/types/index.d.ts |  65 +++++
 .../base/special/atan2f/docs/types/test.ts    |  56 ++++
 .../base/special/atan2f/examples/c/Makefile   | 146 ++++++++++
 .../base/special/atan2f/examples/c/example.c  |  35 +++
 .../base/special/atan2f/examples/index.js     |  32 +++
 .../math/base/special/atan2f/include.gypi     |  53 ++++
 .../include/stdlib/math/base/special/atan2f.h |  38 +++
 .../math/base/special/atan2f/lib/index.js     |  61 +++++
 .../math/base/special/atan2f/lib/main.js      | 174 ++++++++++++
 .../math/base/special/atan2f/lib/native.js    |  56 ++++
 .../math/base/special/atan2f/manifest.json    |  90 +++++++
 .../math/base/special/atan2f/package.json     |  70 +++++
 .../math/base/special/atan2f/src/Makefile     |  71 +++++
 .../math/base/special/atan2f/src/addon.c      |  23 ++
 .../math/base/special/atan2f/src/main.c       | 121 +++++++++
 .../atan2f/test/fixtures/julia/REQUIRE        |   2 +
 .../fixtures/julia/negative_negative.json     |   1 +
 .../fixtures/julia/negative_positive.json     |   1 +
 .../fixtures/julia/positive_positive.json     |   1 +
 .../atan2f/test/fixtures/julia/runner.jl      |  82 ++++++
 .../math/base/special/atan2f/test/test.js     | 246 +++++++++++++++++
 .../base/special/atan2f/test/test.native.js   | 255 ++++++++++++++++++
 29 files changed, 2525 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/README.md
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/benchmark.native.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/c/Makefile
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/c/benchmark.c
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/binding.gyp
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/examples/c/Makefile
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/examples/c/example.c
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/include.gypi
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/include/stdlib/math/base/special/atan2f.h
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/lib/native.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/manifest.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/package.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/src/Makefile
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/src/addon.c
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/src/main.c
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/REQUIRE
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/negative_negative.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/negative_positive.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/positive_positive.json
 create mode 100755 lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/runner.jl
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/test/test.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/atan2f/test/test.native.js

diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/README.md b/lib/node_modules/@stdlib/math/base/special/atan2f/README.md
new file mode 100644
index 000000000000..b2ccf5a036ce
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/README.md
@@ -0,0 +1,209 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2018 The Stdlib Authors.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+   http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-->
+
+# atan2f
+
+> Compute the angle in the plane (in radians) between the positive x-axis and the ray from `(0,0)` to the point `(x,y)` of a single-precision floating-point number.
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var atan2f = require( '@stdlib/math/base/special/atan2f' );
+```
+
+#### atan2f( y, x )
+
+Computes the angle in the plane (in radians) between the positive x-axis and the ray from `(0,0)` to the point `(x,y)` of a single-precision floating-point number.
+
+```javascript
+var v = atan2f( 2.0, 2.0 ); // => atanf(1.0)
+// returns ~0.785
+
+v = atan2f( 6.0, 2.0 ); // => atanf(3.0)
+// returns ~1.249
+
+v = atan2f( -1.0, -1.0 ); // => atanf(1.0) - π
+// returns ~-2.356
+
+v = atan2f( 3.0, 0.0 ); // => π/2
+// returns ~1.571
+
+v = atan2f( -2.0, 0.0 ); // => -π/2
+// returns ~-1.571
+
+v = atan2f( 0.0, 0.0 );
+// returns 0.0
+
+v = atan2f( 3.0, NaN );
+// returns NaN
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var randu = require( '@stdlib/random/base/randu' );
+var atan2f = require( '@stdlib/math/base/special/atan2f' );
+
+var y;
+var x;
+var i;
+
+for ( i = 0; i < 100; i++ ) {
+    y = randu() * 100.0;
+    x = randu() * 100.0;
+    console.log( 'y: %d, \t x: %d, \t atan2f(y,x): %d', y.toFixed( 4 ), x.toFixed( 4 ), atan2f( y, x ).toFixed( 4 ) );
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- C interface documentation. -->
+
+* * *
+
+<section class="c">
+
+## C APIs
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- C usage documentation. -->
+
+<section class="usage">
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/atan2f.h"
+```
+
+#### stdlib_base_atan2f( y, x )
+
+Computes the angle in the plane (in radians) between the positive x-axis and the ray from `(0,0)` to the point `(x,y)` of a single-precision floating-point number.
+
+```c
+double out = stdlib_base_atan2f( 2.0, 2.0 );
+// returns ~0.785
+
+out = stdlib_base_atan2f( 6.0, 2.0 );
+// returns ~1.249
+```
+
+The function accepts the following arguments:
+
+-   **y**: `[in] float` - `y` coordinate
+-   **x**: `[in] float` - `x` coordinate
+
+```c
+float stdlib_base_atan2f( const float y, const float x );
+```
+
+</section>
+
+<!-- /.usage -->
+
+<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+</section>
+
+<!-- /.notes -->
+
+<!-- C API usage examples. -->
+
+<section class="examples">
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/atan2f.h"
+#include <stdlib.h>
+#include <stdio.h>
+
+int main( void ) {
+    float y;
+    float x;
+    float v;
+    int i;
+
+    for ( i = 0; i < 100; i++ ) {
+        y = ( ( (float)rand() / (float)RAND_MAX ) * 100.0 );
+        x = ( ( (float)rand() / (float)RAND_MAX ) * 100.0 );
+        v = stdlib_base_atan2f( y, x );
+        printf( "atan2f(%f, %f) = %f\n", y, x, v );
+    }
+    return 0;
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+</section>
+
+<!-- /.c -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+* * *
+
+## See Also
+
+-   <span class="package-name">[`@stdlib/math/base/special/atanf`][@stdlib/math/base/special/atanf]</span><span class="delimiter">: </span><span class="description">compute the arctangent of a single-precision floating-point number.</span>
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+<!-- <related-links> -->
+
+[@stdlib/math/base/special/atanf]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/atanf
+
+<!-- </related-links> -->
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/benchmark.js
new file mode 100644
index 000000000000..0e5fb816ed68
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/benchmark.js
@@ -0,0 +1,83 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2018 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var randu = require( '@stdlib/random/base/randu' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pkg = require( './../package.json' ).name;
+var atan2f = require( './../lib' );
+
+
+// VARIABLES //
+
+var opts = {
+	'skip': ( typeof Math.atan2 !== 'function' ) // eslint-disable-line stdlib/no-builtin-math
+};
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var x;
+	var y;
+	var z;
+	var i;
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = ( randu()*100.0 ) - 0.0;
+		y = ( randu()*100.0 ) - 0.0;
+		z = atan2f( x, y );
+		if ( isnanf( z ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnanf( z ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( pkg+'::built-in', opts, function benchmark( b ) {
+	var x;
+	var y;
+	var z;
+	var i;
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = ( randu()*100.0 ) - 0.0;
+		y = ( randu()*100.0 ) - 0.0;
+		z = Math.atan2( x, y ); // eslint-disable-line stdlib/no-builtin-math
+		if ( isnanf( z ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnanf( z ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..a04c37c7497a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/benchmark.native.js
@@ -0,0 +1,62 @@
+/**
+* @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/base/randu' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var atan2f = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( atan2f instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+	var x;
+	var y;
+	var z;
+	var i;
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = ( randu()*100.0 );
+		y = ( randu()*100.0 );
+		z = atan2f( y, x );
+		if ( isnanf( z ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnanf( z ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/c/Makefile
new file mode 100644
index 000000000000..f69e9da2b4d3
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/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 := 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/atan2f/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..f5a34741680a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/benchmark/c/benchmark.c
@@ -0,0 +1,135 @@
+/**
+* @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/atan2f.h"
+#include <stdlib.h>
+#include <stdio.h>
+#include <math.h>
+#include <time.h>
+#include <sys/time.h>
+
+#define NAME "atan2f"
+#define ITERATIONS 1000000
+#define REPEATS 3
+
+/**
+* Prints the TAP version.
+*/
+static void print_version( void ) {
+	printf( "TAP version 13\n" );
+}
+
+/**
+* Prints the TAP summary.
+*
+* @param total     total number of tests
+* @param passing   total number of passing tests
+*/
+static void print_summary( int total, int passing ) {
+	printf( "#\n" );
+	printf( "1..%d\n", total ); // TAP plan
+	printf( "# total %d\n", total );
+	printf( "# pass  %d\n", passing );
+	printf( "#\n" );
+	printf( "# ok\n" );
+}
+
+/**
+* Prints benchmarks results.
+*
+* @param elapsed   elapsed time in seconds
+*/
+static void print_results( double elapsed ) {
+	double rate = (double)ITERATIONS / elapsed;
+	printf( "  ---\n" );
+	printf( "  iterations: %d\n", ITERATIONS );
+	printf( "  elapsed: %0.9f\n", elapsed );
+	printf( "  rate: %0.9f\n", rate );
+	printf( "  ...\n" );
+}
+
+/**
+* Returns a clock time.
+*
+* @return clock time
+*/
+static double tic( void ) {
+	struct timeval now;
+	gettimeofday( &now, NULL );
+	return (double)now.tv_sec + (double)now.tv_usec/1.0e6;
+}
+
+/**
+* Generates a random number on the interval [0,1).
+*
+* @return random number
+*/
+static float rand_float( void ) {
+	int r = rand();
+	return (float)r / ( (float)RAND_MAX + 1.0f );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+	double elapsed;
+	float x;
+	float y;
+	float z;
+	double t;
+	int i;
+
+	t = tic();
+	for ( i = 0; i < ITERATIONS; i++ ) {
+		x = ( 100.0*rand_float() );
+		y = ( 100.0*rand_float() );
+		z = stdlib_base_atan2f( y, x );
+		if ( z != z ) {
+			printf( "should not return NaN\n" );
+			break;
+		}
+	}
+	elapsed = tic() - t;
+	if ( z != z ) {
+		printf( "should not return NaN\n" );
+	}
+	return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+	double elapsed;
+	int i;
+
+	// Use the current time to seed the random number generator:
+	srand( time( NULL ) );
+
+	print_version();
+	for ( i = 0; i < REPEATS; i++ ) {
+		printf( "# c::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/atan2f/binding.gyp b/lib/node_modules/@stdlib/math/base/special/atan2f/binding.gyp
new file mode 100644
index 000000000000..ec3992233442
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/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/atan2f/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/atan2f/docs/repl.txt
new file mode 100644
index 000000000000..4af048bf9762
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/docs/repl.txt
@@ -0,0 +1,41 @@
+
+{{alias}}( y, x )
+    Computes the angle in the plane (in radians) between the positive x-axis and
+    the ray from (0,0) to the point (x,y) of a single-precision floating-point
+    number.
+
+    Parameters
+    ----------
+    y: number
+        Coordinate along y-axis.
+
+    x: number
+        Coordinate along x-axis.
+
+    Returns
+    -------
+    out: number
+        Angle (in radians).
+
+    Examples
+    --------
+    > var v = {{alias}}( 2.0, 2.0 )
+    ~0.785
+    > v = {{alias}}( 6.0, 2.0 )
+    ~1.249
+    > v = {{alias}}( -1.0, -1.0 )
+    ~-2.356
+    > v = {{alias}}( 3.0, 0.0 )
+    ~1.571
+    > v = {{alias}}( -2.0, 0.0 )
+    ~-1.571
+    > v = {{alias}}( 0.0, 0.0 )
+    0.0
+    > v = {{alias}}( 3.0, NaN )
+    NaN
+    > v = {{alias}}( NaN, 2.0 )
+    NaN
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/atan2f/docs/types/index.d.ts
new file mode 100644
index 000000000000..6b576417b956
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/docs/types/index.d.ts
@@ -0,0 +1,65 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2019 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/**
+* Computes the angle in the plane (in radians) between the positive x-axis and the ray from `(0,0)` to the point `(x,y)` of a single-precision floating-point number.
+*
+* @param y - `y` coordinate
+* @param x - `x` coordinate
+* @returns angle (in radians)
+*
+* @example
+* var v = atan2f( 2.0, 2.0 ); // => atanf(1.0)
+* // returns ~0.785
+*
+* @example
+* var v = atan2f( 6.0, 2.0 ); // => atanf(3.0)
+* // returns ~1.249
+*
+* @example
+* var v = atan2f( -1.0, -1.0 ); // => atanf(1.0) - π
+* // returns ~-2.356
+*
+* @example
+* var v = atan2f( 3.0, 0.0 ); // => π/2
+* // returns ~1.571
+*
+* @example
+* var v = atan2f( -2.0, 0.0 ); // => -π/2
+* // returns ~-1.571
+*
+* @example
+* var v = atan2f( 0.0, 0.0 );
+* // returns 0.0
+*
+* @example
+* var v = atan2f( 3.0, NaN );
+* // returns NaN
+*
+* @example
+* var v = atan2f( NaN, 2.0 );
+* // returns NaN
+*/
+declare function atan2f( y: number, x: number ): number;
+
+
+// EXPORTS //
+
+export = atan2f;
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/atan2f/docs/types/test.ts
new file mode 100644
index 000000000000..6da4385d63fe
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/docs/types/test.ts
@@ -0,0 +1,56 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2019 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import atan2f = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+	atan2f( 8, 2 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided values other than two numbers...
+{
+	atan2f( true, 3 ); // $ExpectError
+	atan2f( false, 2 ); // $ExpectError
+	atan2f( '5', 1 ); // $ExpectError
+	atan2f( [], 1 ); // $ExpectError
+	atan2f( {}, 2 ); // $ExpectError
+	atan2f( ( x: number ): number => x, 2 ); // $ExpectError
+
+	atan2f( 9, true ); // $ExpectError
+	atan2f( 9, false ); // $ExpectError
+	atan2f( 5, '5' ); // $ExpectError
+	atan2f( 8, [] ); // $ExpectError
+	atan2f( 9, {} ); // $ExpectError
+	atan2f( 8, ( x: number ): number => x ); // $ExpectError
+
+	atan2f( [], true ); // $ExpectError
+	atan2f( {}, false ); // $ExpectError
+	atan2f( false, '5' ); // $ExpectError
+	atan2f( {}, [] ); // $ExpectError
+	atan2f( '5', ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+	atan2f(); // $ExpectError
+	atan2f( 3 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/atan2f/examples/c/Makefile
new file mode 100644
index 000000000000..f0ae66fecf01
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/examples/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2023 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/atan2f/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/atan2f/examples/c/example.c
new file mode 100644
index 000000000000..5959d6dbc07e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/examples/c/example.c
@@ -0,0 +1,35 @@
+/**
+* @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/atan2f.h"
+#include <stdlib.h>
+#include <stdio.h>
+
+int main( void ) {
+	float y;
+	float x;
+	float v;
+	int i;
+	for ( i = 0; i < 100; i++ ) {
+		y = ( ( (float)rand() / (float)RAND_MAX ) * 100.0 );
+		x = ( ( (float)rand() / (float)RAND_MAX ) * 100.0 );
+		v = stdlib_base_atan2f( y, x );
+		printf( "atan2f(%f, %f) = %f\n", y, x, v );
+	}
+	return 0;
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/examples/index.js b/lib/node_modules/@stdlib/math/base/special/atan2f/examples/index.js
new file mode 100644
index 000000000000..b654646dc08c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/examples/index.js
@@ -0,0 +1,32 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2018 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var randu = require( '@stdlib/random/base/randu' );
+var atan2f = require( './../lib' );
+
+var x;
+var y;
+var i;
+
+for ( i = 0; i < 100; i++ ) {
+	y = randu() * 100.0;
+	x = randu() * 100.0;
+	console.log( 'y: %d, \t x: %d, \t atan2f(y,x): %d', y.toFixed( 4 ), x.toFixed( 4 ), atan2f( y, x ).toFixed( 4 ) );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/include.gypi b/lib/node_modules/@stdlib/math/base/special/atan2f/include.gypi
new file mode 100644
index 000000000000..575cb043c0bf
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/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': [
+      '<!@(node -e "var arr = require(\'@stdlib/utils/library-manifest\')(\'./manifest.json\',{},{\'basedir\':process.cwd(),\'paths\':\'posix\'}).include; for ( var i = 0; i < arr.length; i++ ) { console.log( arr[ i ] ); }")',
+    ],
+
+    # Add-on destination directory:
+    'addon_output_dir': './src',
+
+    # Source files:
+    'src_files': [
+      '<(src_dir)/addon.c',
+      '<!@(node -e "var arr = require(\'@stdlib/utils/library-manifest\')(\'./manifest.json\',{},{\'basedir\':process.cwd(),\'paths\':\'posix\'}).src; for ( var i = 0; i < arr.length; i++ ) { console.log( arr[ i ] ); }")',
+    ],
+
+    # Library dependencies:
+    'libraries': [
+      '<!@(node -e "var arr = require(\'@stdlib/utils/library-manifest\')(\'./manifest.json\',{},{\'basedir\':process.cwd(),\'paths\':\'posix\'}).libraries; for ( var i = 0; i < arr.length; i++ ) { console.log( arr[ i ] ); }")',
+    ],
+
+    # Library directories:
+    'library_dirs': [
+      '<!@(node -e "var arr = require(\'@stdlib/utils/library-manifest\')(\'./manifest.json\',{},{\'basedir\':process.cwd(),\'paths\':\'posix\'}).libpath; for ( var i = 0; i < arr.length; i++ ) { console.log( arr[ i ] ); }")',
+    ],
+  }, # end variables
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/include/stdlib/math/base/special/atan2f.h b/lib/node_modules/@stdlib/math/base/special/atan2f/include/stdlib/math/base/special/atan2f.h
new file mode 100644
index 000000000000..74e07849dbc6
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/include/stdlib/math/base/special/atan2f.h
@@ -0,0 +1,38 @@
+/**
+* @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.
+*/
+
+#ifndef STDLIB_MATH_BASE_SPECIAL_ATAN2F_H
+#define STDLIB_MATH_BASE_SPECIAL_ATAN2F_H
+
+/*
+* If C++, prevent name mangling so that the compiler emits a binary file having undecorated names, thus mirroring the behavior of a C compiler.
+*/
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/**
+* Computes the angle in the plane (in radians) between the positive x-axis and the ray from `(0,0)` to the point `(x,y)` of a single-precision floating-point number.
+*/
+float stdlib_base_atan2f( const float y, const float x );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif // !STDLIB_MATH_BASE_SPECIAL_ATAN2F_H
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/lib/index.js b/lib/node_modules/@stdlib/math/base/special/atan2f/lib/index.js
new file mode 100644
index 000000000000..2a84678820ea
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/lib/index.js
@@ -0,0 +1,61 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2018 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Compute the angle in the plane (in radians) between the positive x-axis and the ray from `(0,0)` to the point `(x,y)` of a single-precision floating-point number.
+*
+* @module @stdlib/math/base/special/atan2f
+*
+* @example
+* var atan2f = require( '@stdlib/math/base/special/atan2f' );
+*
+* var v = atan2f( 2.0, 2.0 ); // => atanf(1.0)
+* // returns ~0.785
+*
+* v = atan2f( 6.0, 2.0 ); // => atanf(3.0)
+* // returns ~1.249
+*
+* v = atan2f( -1.0, -1.0 ); // => atanf(1.0) - π
+* // returns ~-2.356
+*
+* v = atan2f( 3.0, 0.0 ); // => π/2
+* // returns ~1.571
+*
+* v = atan2f( -2.0, 0.0 ); // => -π/2
+* // returns ~-1.571
+*
+* v = atan2f( 0.0, 0.0 );
+* // returns 0.0
+*
+* v = atan2f( 3.0, NaN );
+* // returns NaN
+*
+* v = atan2f( NaN, 2.0 );
+* // returns NaN
+*/
+
+// MODULES //
+
+var atan2f = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = atan2f;
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/lib/main.js b/lib/node_modules/@stdlib/math/base/special/atan2f/lib/main.js
new file mode 100644
index 000000000000..e72632f8086e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/lib/main.js
@@ -0,0 +1,174 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2018 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*
+*
+* ## Notice
+*
+* The original code, copyright and license are from [Go]{@link https://golang.org/src/math/atan2.go}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (c) 2009 The Go Authors. All rights reserved.
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions are
+* met:
+*
+*    * Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+*    * Redistributions in binary form must reproduce the above
+* copyright notice, this list of conditions and the following disclaimer
+* in the documentation and/or other materials provided with the
+* distribution.
+*    * Neither the name of Google Inc. nor the names of its
+* contributors may be used to endorse or promote products derived from
+* this software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var isinfinite = require( '@stdlib/math/base/assert/is-infinite' );
+var copysignf = require( '@stdlib/math/base/special/copysignf' );
+var signbitf = require( '@stdlib/number/float32/base/signbit' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var atanf = require( '@stdlib/math/base/special/atanf' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var PI = require( '@stdlib/constants/float32/pi' );
+
+
+// MAIN //
+
+/**
+* Computes the angle in the plane (in radians) between the positive x-axis and the ray from `(0,0)` to the point `(x,y)` of a single-precision floating-point number.
+*
+* ## Special Cases
+*
+* ```tex
+* \begin{align*}
+* \operatorname{atan2f}(y,\mathrm{NaN}) &= \mathrm{NaN}\\
+* \operatorname{atan2f}(\mathrm{NaN},x) &= \mathrm{NaN}\\
+* \operatorname{atan2f}( +0,x \ge 0 ) &= +0 \\
+* \operatorname{atan2f}( -0, x \ge 0 ) &= -0 \\
+* \operatorname{atan2f}( +0,x \le -0 ) &= +\Pi \\
+* \operatorname{atan2f}( -0, x \le -0 ) &= -\Pi \\
+* \operatorname{atan2f}(+\infty, +\infty) &= +\tfrac{\Pi}{4} \\
+* \operatorname{atan2f}(-\infty, +\infty) &= -\tfrac{\Pi}{4} \\
+* \operatorname{atan2f}(+\infty, -\infty) &= +\tfrac{3\Pi}{4} \\
+* \operatorname{atan2f}(-\infty, -\infty) &= -\tfrac{3\Pi}{4} \\
+* \operatorname{atan2f}(y, +\infty) &= 0.0 \\
+* \operatorname{atan2f}(y>0, -\infty) &= +\Pi \\
+* \operatorname{atan2f}(y<0, -\infty) &= -\Pi \\
+* \operatorname{atan2f}(+\infty, x ) &= +\tfrac{\Pi}{2} \\
+* \operatorname{atan2f}(-\infty, x ) &= -\tfrac{\Pi}{2} \\
+* \end{align*}
+* ```
+*
+* @param {number} y - `y` coordinate
+* @param {number} x - `x` coordinate
+* @returns {number} angle (in radians)
+*
+* @example
+* var v = atan2f( 2.0, 2.0 ); // => atan(1.0)
+* // returns ~0.785
+*
+* @example
+* var v = atan2f( 6.0, 2.0 ); // => atan(3.0)
+* // returns ~1.249
+*
+* @example
+* var v = atan2f( -1.0, -1.0 ); // => atan(1.0) - π
+* // returns ~-2.356
+*
+* @example
+* var v = atan2f( 3.0, 0.0 ); // => π/2
+* // returns ~1.571
+*
+* @example
+* var v = atan2f( -2.0, 0.0 ); // => -π/2
+* // returns ~-1.571
+*
+* @example
+* var v = atan2f( 0.0, 0.0 );
+* // returns 0.0
+*
+* @example
+* var v = atan2f( 3.0, NaN );
+* // returns NaN
+*
+* @example
+* var v = atan2f( NaN, 2.0 );
+* // returns NaN
+*/
+function atan2f( y, x ) {
+	var q;
+	if ( isnanf( x ) || isnanf( y ) ) {
+		return NaN;
+	}
+	if ( isinfinite( x ) ) {
+		if ( x === PINF ) {
+			if ( isinfinite( y ) ) {
+				return copysignf( float64ToFloat32( PI / 4.0 ), y );
+			}
+			return copysignf( 0.0, y );
+		}
+		// Case: x is -Infinity
+		if ( isinfinite( y ) ) {
+			return copysignf( float64ToFloat32( 3.0*PI/4.0 ), y );
+		}
+		return copysignf( PI, y );
+	}
+	if ( isinfinite( y ) ) {
+		return copysignf( float64ToFloat32( PI / 2.0 ), y );
+	}
+	if ( y === 0.0 ) {
+		if ( x >= 0.0 && !signbitf( x ) ) {
+			return copysignf( 0.0, y );
+		}
+		return copysignf( PI, y );
+	}
+	if ( x === 0.0 ) {
+		return copysignf( PI / 2.0, y );
+	}
+	q = atanf( y / x );
+	if ( x < 0.0 ) {
+		if ( q <= 0.0 ) {
+			return float64ToFloat32( q + PI );
+		}
+		return float64ToFloat32( q - PI );
+	}
+	return q;
+}
+
+
+// EXPORTS //
+
+module.exports = atan2f;
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/lib/native.js b/lib/node_modules/@stdlib/math/base/special/atan2f/lib/native.js
new file mode 100644
index 000000000000..26ad33e0f906
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/lib/native.js
@@ -0,0 +1,56 @@
+/**
+* @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 addon = require( './../src/addon.node' );
+
+/**
+* Computes the angle in the plane (in radians) between the positive x-axis and the ray from `(0,0)` to the point `(x,y)` of a single-precision floating-point number.
+*
+* @private
+* @param {number} y - `y` coordinate
+* @param {number} x - `x` coordinate
+* @returns {number} angle (in radians)
+*
+* @example
+* var v = atan2f( 2.0, 2.0 ); // => atanf(1.0)
+* // returns ~0.785
+*
+* @example
+* v = atan2f( 6.0, 2.0 ); // => atanf(3.0)
+* // returns ~1.249
+*
+* @example
+* v = atan2f( 3.0, 0.0 ); // => π/2
+* // returns ~1.571
+*
+* @example
+* v = atan2f( 3.0, NaN );
+* // returns NaN
+*/
+function atan2f( y, x ) {
+	return addon( y, x );
+}
+
+
+// EXPORTS //
+
+module.exports = atan2f;
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/manifest.json b/lib/node_modules/@stdlib/math/base/special/atan2f/manifest.json
new file mode 100644
index 000000000000..d1f238efea89
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/manifest.json
@@ -0,0 +1,90 @@
+{
+    "options": {
+      "task": "build"
+    },
+    "fields": [
+      {
+        "field": "src",
+        "resolve": true,
+        "relative": true
+      },
+      {
+        "field": "include",
+        "resolve": true,
+        "relative": true
+      },
+      {
+        "field": "libraries",
+        "resolve": false,
+        "relative": false
+      },
+      {
+        "field": "libpath",
+        "resolve": true,
+        "relative": false
+      }
+    ],
+    "confs": [
+      {
+        "task": "build",
+        "src": [
+          "./src/main.c"
+        ],
+        "include": [
+          "./include"
+        ],
+        "libraries": [],
+        "libpath": [],
+        "dependencies": [
+          "@stdlib/math/base/napi/binary",
+          "@stdlib/math/base/assert/is-infinite",
+          "@stdlib/math/base/special/copysignf",
+          "@stdlib/number/float32/base/signbit",
+          "@stdlib/math/base/assert/is-nanf",
+          "@stdlib/math/base/special/atanf",
+          "@stdlib/constants/float32/pinf",
+          "@stdlib/constants/float32/pi"
+        ]
+      },
+      {
+        "task": "benchmark",
+        "src": [
+          "./src/main.c"
+        ],
+        "include": [
+          "./include"
+        ],
+        "libraries": [],
+        "libpath": [],
+        "dependencies": [
+          "@stdlib/math/base/assert/is-infinite",
+          "@stdlib/math/base/special/copysignf",
+          "@stdlib/number/float32/base/signbit",
+          "@stdlib/math/base/assert/is-nanf",
+          "@stdlib/math/base/special/atanf",
+          "@stdlib/constants/float32/pinf",
+          "@stdlib/constants/float32/pi"
+        ]
+      },
+      {
+        "task": "examples",
+        "src": [
+          "./src/main.c"
+        ],
+        "include": [
+          "./include"
+        ],
+        "libraries": [],
+        "libpath": [],
+        "dependencies": [
+          "@stdlib/math/base/assert/is-infinite",
+          "@stdlib/math/base/special/copysignf",
+          "@stdlib/number/float32/base/signbit",
+          "@stdlib/math/base/assert/is-nanf",
+          "@stdlib/math/base/special/atanf",
+          "@stdlib/constants/float32/pinf",
+          "@stdlib/constants/float32/pi"
+        ]
+      }
+    ]
+  }
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/package.json b/lib/node_modules/@stdlib/math/base/special/atan2f/package.json
new file mode 100644
index 000000000000..e589df13788e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/package.json
@@ -0,0 +1,70 @@
+{
+    "name": "@stdlib/math/base/special/atan2f",
+    "version": "0.0.0",
+    "description": "Compute the angle in the plane (in radians) between the positive x-axis and the ray from (0,0) to the point (x,y).",
+    "license": "Apache-2.0",
+    "author": {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    },
+    "contributors": [
+      {
+        "name": "The Stdlib Authors",
+        "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+      }
+    ],
+    "main": "./lib",
+    "gypfile": true,
+    "directories": {
+      "benchmark": "./benchmark",
+      "doc": "./docs",
+      "example": "./examples",
+      "include": "./include",
+      "lib": "./lib",
+      "src": "./src",
+      "test": "./test"
+    },
+    "types": "./docs/types",
+    "scripts": {},
+    "homepage": "https://github.com/stdlib-js/stdlib",
+    "repository": {
+      "type": "git",
+      "url": "git://github.com/stdlib-js/stdlib.git"
+    },
+    "bugs": {
+      "url": "https://github.com/stdlib-js/stdlib/issues"
+    },
+    "dependencies": {},
+    "devDependencies": {},
+    "engines": {
+      "node": ">=0.10.0",
+      "npm": ">2.7.0"
+    },
+    "os": [
+      "aix",
+      "darwin",
+      "freebsd",
+      "linux",
+      "macos",
+      "openbsd",
+      "sunos",
+      "win32",
+      "windows"
+    ],
+    "keywords": [
+      "stdlib",
+      "stdmath",
+      "mathematics",
+      "math",
+      "math.atan2",
+      "atan2f",
+      "atanf",
+      "arctangent",
+      "quotient",
+      "inverse",
+      "trig",
+      "trigonometry",
+      "value",
+      "number"
+    ]
+  }
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/src/Makefile b/lib/node_modules/@stdlib/math/base/special/atan2f/src/Makefile
new file mode 100644
index 000000000000..f30ea003e955
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/src/Makefile
@@ -0,0 +1,71 @@
+#/
+# @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/atan2f/src/addon.c b/lib/node_modules/@stdlib/math/base/special/atan2f/src/addon.c
new file mode 100644
index 000000000000..c438ffdce3ee
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/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/atan2f.h"
+#include "stdlib/math/base/napi/binary.h"
+
+// cppcheck-suppress shadowFunction
+STDLIB_MATH_BASE_NAPI_MODULE_FF_F( stdlib_base_atan2f )
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/src/main.c b/lib/node_modules/@stdlib/math/base/special/atan2f/src/main.c
new file mode 100644
index 000000000000..ab0aca65f701
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/src/main.c
@@ -0,0 +1,121 @@
+/**
+* @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.
+*
+*
+* ## Notice
+*
+* The original C code, long comment, copyright, license, and constants are from [Cephes]{@link http://www.netlib.org/cephes}. The implementation follows the original, but has been modified according to project conventions.
+*
+* ```text
+* Copyright 1984, 1995, 2000 by Stephen L. Moshier
+*
+* Some software in this archive may be from the book _Methods and Programs for Mathematical Functions_ (Prentice-Hall or Simon & Schuster International, 1989) or from the Cephes Mathematical Library, a commercial product. In either event, it is copyrighted by the author. What you see here may be used freely but it comes with no support or guarantee.
+*
+* Stephen L. Moshier
+* moshier@na-net.ornl.gov
+* ```
+*/
+
+#include "stdlib/math/base/assert/is_infinite.h"
+#include "stdlib/math/base/special/copysignf.h"
+#include "stdlib/math/base/assert/is_nanf.h"
+#include "stdlib/math/base/special/atanf.h"
+#include "stdlib/number/float32/base/signbit.h"
+#include "stdlib/constants/float32/pinf.h"
+#include "stdlib/constants/float32/pi.h"
+#include <stdint.h>
+
+// MAIN //
+
+/**
+* Computes the angle in the plane (in radians) between the positive x-axis and the ray from `(0,0)` to the point `(x,y)` of a single-precision floating-point number.
+*
+* @param y    `y` coordinate
+* @param x    `x` coordinate
+* @return      angle (in radians)
+*
+* @example
+* float v = stdlib_base_atan2f( 2.0, 2.0 ); // => stdlib_base_atanf(1.0)
+* // returns ~0.785
+*
+* @example
+* float v = stdlib_base_atan2f( 6.0, 2.0 ); // => stdlib_base_atanf(3.0)
+* // returns ~1.249
+*
+* @example
+* float v = stdlib_base_atan2f( -1.0, -1.0 ); // => stdlib_base_atanf(1.0) - π
+* // returns ~-2.356
+*
+* @example
+* float v = stdlib_base_atan2f( 3.0, 0.0 ); // => π/2
+* // returns ~1.571
+*
+* @example
+* float v = stdlib_base_atan2f( -2.0, 0.0 ); // => -π/2
+* // returns ~-1.571
+*
+* @example
+* float v = stdlib_base_atan2f( 0.0, 0.0 );
+* // returns 0.0
+*
+* @example
+* float v = stdlib_base_atan2f( 3.0, NaN );
+* // returns NaN
+*
+* @example
+* float v = stdlib_base_atan2f( NaN, 2.0 );
+* // returns NaN
+*/
+float stdlib_base_atan2f( const float y, const float x ) {
+	float q;
+	if ( stdlib_base_is_nanf( x ) ||	stdlib_base_is_nanf( y ) ) {
+		return 0.0f / 0.0f; // NaN
+	}
+	if ( stdlib_base_is_infinite( x ) ) {
+		if ( x == STDLIB_CONSTANT_FLOAT32_PINF ) {
+			if ( stdlib_base_is_infinite( y ) ) {
+				return stdlib_base_copysignf( STDLIB_CONSTANT_FLOAT32_PI / 4.0f, y );
+			}
+			return stdlib_base_copysignf( 0.0f, y );
+		}
+		// Case: x is -Infinity
+		if ( stdlib_base_is_infinite( y ) ) {
+			return stdlib_base_copysignf( 3.0f * STDLIB_CONSTANT_FLOAT32_PI / 4.0f, y );
+		}
+		return stdlib_base_copysignf( STDLIB_CONSTANT_FLOAT32_PI, y );
+	}
+	if ( stdlib_base_is_infinite( y ) ) {
+		return stdlib_base_copysignf( STDLIB_CONSTANT_FLOAT32_PI / 2.0f, y );
+	}
+	if ( y == 0.0f ) {
+		if ( x >= 0.0f && !stdlib_base_float32_signbit( x ) ) {
+			return stdlib_base_copysignf( 0.0f, y );
+		}
+		return stdlib_base_copysignf( STDLIB_CONSTANT_FLOAT32_PI, y );
+	}
+	if ( x == 0.0f ) {
+		return stdlib_base_copysignf( STDLIB_CONSTANT_FLOAT32_PI / 2.0f, y );
+	}
+	q = stdlib_base_atanf( y / x );
+	if ( x < 0.0f ) {
+		if ( q <= 0.0f ) {
+			return q + STDLIB_CONSTANT_FLOAT32_PI;
+		}
+		return q - STDLIB_CONSTANT_FLOAT32_PI;
+	}
+	return q;
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/REQUIRE
new file mode 100644
index 000000000000..308c3be89c85
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/negative_negative.json b/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/negative_negative.json
new file mode 100644
index 000000000000..efa8d26c1962
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/negative_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/negative_positive.json b/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/negative_positive.json
new file mode 100644
index 000000000000..6da51a675031
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/negative_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/positive_positive.json b/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/positive_positive.json
new file mode 100644
index 000000000000..17e90ae32463
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/positive_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/runner.jl
new file mode 100755
index 000000000000..649f7af38729
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/test/fixtures/julia/runner.jl
@@ -0,0 +1,82 @@
+#!/usr/bin/env julia
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2018 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+import JSON
+
+"""
+    gen( x, y, name )
+
+Generate fixture data and write to file.
+
+# Arguments
+
+* `x`: denominator domain
+* `y`: numerator domain
+* `name::AbstractString`: output filename
+
+# Examples
+
+``` julia
+julia> x = range( -1000.0, stop = 1000.0, length = 2001 );
+julia> y = range( 0.0, stop = 1000.0, length = 1001 );
+julia> gen( x, y, \"data.json\" );
+```
+"""
+function gen( x, y, name )
+	z = Array{Float32}( undef, length(x) );
+	for i in eachindex(x)
+		z[ i ] = atan.( y[i], x[i] );
+	end
+
+	# Store data to be written to file as a collection:
+	data = Dict([
+		("x", x),
+		("y", y),
+		("expected", z)
+	]);
+
+	# 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 );
+
+# Random (x positive, y positive):
+x = rand( 5001 ) .* 500.0;
+y = rand( 5001 ) .* 500.0;
+gen( x, y, "positive_positive.json" );
+
+# Random (x negative, y positive):
+x = -rand( 1001 ) .* 500.0;
+y = rand( 1001 ) .* 500.0;
+gen( x, y, "negative_positive.json" );
+
+# Random (x negative, y negative):
+x = -rand( 1001 ) .* 500.0;
+y = -rand( 1001 ) .* 500.0;
+gen( x, y, "negative_negative.json" );
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.js b/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.js
new file mode 100644
index 000000000000..23bcd283b4ec
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.js
@@ -0,0 +1,246 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2018 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' );
+var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var PI = require( '@stdlib/constants/float32/pi' );
+var atan2f = require( './../lib' );
+
+
+// FIXTURES //
+
+var positivePositive = require( './fixtures/julia/positive_positive.json' );
+var negativePositive = require( './fixtures/julia/negative_positive.json' );
+var negativeNegative = require( './fixtures/julia/negative_negative.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof atan2f, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has two parameters: a numerator and a denominator value', function test( t ) {
+	t.equal( atan2f.length, 2.0, 'arity is 2' );
+	t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN` as either of the arguments', function test( t ) {
+	t.equal( isnanf( atan2f( 2.0, NaN ) ), true, 'returns NaN' );
+	t.equal( isnanf( atan2f( NaN, 3.0 ) ), true, 'returns NaN' );
+	t.end();
+});
+
+tape( 'the function returns `+0` if provided `y = +0.0` and `x >= 0`', function test( t ) {
+	t.equal( isPositiveZero( atan2f( +0.0, 0.0 ) ), true, 'returns +0' );
+	t.equal( isPositiveZero( atan2f( +0.0, 2.0 ) ), true, 'returns +0' );
+	t.equal( isPositiveZero( atan2f( +0.0, 4.0 ) ), true, 'returns +0' );
+	t.equal( isPositiveZero( atan2f( +0.0, 5.0 ) ), true, 'returns +0' );
+	t.equal( isPositiveZero( atan2f( +0.0, 10.0 ) ), true, 'returns +0' );
+	t.end();
+});
+
+tape( 'the function returns `-0` if provided `y = -0.0` and `x >= 0`', function test( t ) {
+	t.equal( isNegativeZero( atan2f( -0.0, 0.0 ) ), true, 'returns -0' );
+	t.equal( isNegativeZero( atan2f( -0.0, 2.0 ) ), true, 'returns -0' );
+	t.equal( isNegativeZero( atan2f( -0.0, 4.0 ) ), true, 'returns -0' );
+	t.equal( isNegativeZero( atan2f( -0.0, 5.0 ) ), true, 'returns -0' );
+	t.equal( isNegativeZero( atan2f( -0.0, 10.0 ) ), true, 'returns -0' );
+	t.end();
+});
+
+tape( 'the function returns `PI` if provided `y = +0.0` and `x <= -0.0`', function test( t ) {
+	t.equal( atan2f( +0.0, -0.0 ), +PI, 'returns +PI' );
+	t.equal( atan2f( +0.0, -2.0 ), +PI, 'returns +PI' );
+	t.equal( atan2f( +0.0, -4.0 ), +PI, 'returns +PI' );
+	t.equal( atan2f( +0.0, -5.0 ), +PI, 'returns +PI' );
+	t.equal( atan2f( +0.0, -10.0 ), +PI, 'returns +PI' );
+	t.end();
+});
+
+tape( 'the function returns `-PI` if provided `y = -0.0` and `x <= -0.0`', function test( t ) {
+	t.equal( atan2f( -0.0, -0.0 ), -PI, 'returns -PI' );
+	t.equal( atan2f( -0.0, -2.0 ), -PI, 'returns -PI' );
+	t.equal( atan2f( -0.0, -4.0 ), -PI, 'returns -PI' );
+	t.equal( atan2f( -0.0, -5.0 ), -PI, 'returns -PI' );
+	t.equal( atan2f( -0.0, -10.0 ), -PI, 'returns -PI' );
+	t.end();
+});
+
+tape( 'the function returns `+PI/4` if provided `x = y = +infinity`', function test( t ) {
+	t.equal( atan2f( PINF, PINF ), +PI/4.0, 'returns +PI/4' );
+	t.end();
+});
+
+tape( 'the function returns `-PI/4` if provided `x = -y = +infinity`', function test( t ) {
+	t.equal( atan2f( NINF, PINF ), -PI/4.0, 'returns -PI/4' );
+	t.end();
+});
+
+tape( 'the function returns `+3*PI/4` if provided `-x = y = +infinity`', function test( t ) {
+	t.equal( atan2f( PINF, NINF ), float64ToFloat32( +3.0*PI/4.0 ), 'returns +3*PI/4' );
+	t.end();
+});
+
+tape( 'the function returns `-3*PI/4` if provided `x = y = -infinity`', function test( t ) {
+	t.equal( atan2f( NINF, NINF ), float64ToFloat32( -3.0*PI/4.0 ), 'returns -3*PI/4' );
+	t.end();
+});
+
+tape( 'the function returns `0.0` when `x = +infinity`', function test( t ) {
+	t.equal( atan2f( -2.0, PINF ), 0.0, 'returns 0.0' );
+	t.equal( atan2f( 0.0, PINF ), 0.0, 'returns 0.0' );
+	t.equal( atan2f( 2.0, PINF ), 0.0, 'returns 0.0' );
+	t.end();
+});
+
+tape( 'the function returns `+PI` when `y > 0` and `x = -infinity`', function test( t ) {
+	t.equal( atan2f( 1.0, NINF ), PI, 'returns PI' );
+	t.equal( atan2f( 2.0, NINF ), PI, 'returns PI' );
+	t.equal( atan2f( 3.0, NINF ), PI, 'returns PI' );
+	t.end();
+});
+
+tape( 'the function returns `-PI` when `y < 0` and `x = -infinity`', function test( t ) {
+	t.equal( atan2f( -1.0, NINF ), -PI, 'returns -PI' );
+	t.equal( atan2f( -2.0, NINF ), -PI, 'returns -PI' );
+	t.equal( atan2f( -3.0, NINF ), -PI, 'returns -PI' );
+	t.end();
+});
+
+tape( 'the function returns `+PI/2` when `y = +infinity`', function test( t ) {
+	t.equal( atan2f( PINF, -1.0 ), PI/2.0, 'returns PI/2' );
+	t.equal( atan2f( PINF, 0.0 ), PI/2.0, 'returns PI/2' );
+	t.equal( atan2f( PINF, 2.0 ), PI/2.0, 'returns PI/2' );
+	t.end();
+});
+
+tape( 'the function returns `-PI/2` when `y = -infinity`', function test( t ) {
+	t.equal( atan2f( NINF, -1.0 ), -PI/2.0, 'returns -PI/2' );
+	t.equal( atan2f( NINF, 0.0 ), -PI/2.0, 'returns -PI/2' );
+	t.equal( atan2f( NINF, 2.0 ), -PI/2.0, 'returns -PI/2' );
+	t.end();
+});
+
+tape( 'the function returns `PI/2` if provided a positive `y` and `x=0`', function test( t ) {
+	t.equal( atan2f( 2.0, 0.0 ), PI/2.0, 'returns PI/2' );
+	t.equal( atan2f( 1.0, 0.0 ), PI/2.0, 'returns PI/2' );
+	t.equal( atan2f( 0.5, 0.0 ), PI/2.0, 'returns PI/2' );
+	t.end();
+});
+
+tape( 'the function returns `-PI/2` if provided a negative `y` and `x=0`', function test( t ) {
+	t.equal( atan2f( -2.0, 0.0 ), -PI/2.0, 'returns PI/2' );
+	t.equal( atan2f( -1.0, 0.0 ), -PI/2.0, 'returns PI/2' );
+	t.equal( atan2f( -0.5, 0.0 ), -PI/2.0, 'returns PI/2' );
+	t.end();
+});
+
+tape( 'the function evaluates the `atan2f` function (when x and y are positive)', function test( t ) {
+	var expected;
+	var actual;
+	var delta;
+	var tol;
+	var e;
+	var x;
+	var y;
+	var i;
+
+	y = positivePositive.y;
+	x = positivePositive.x;
+	expected = positivePositive.expected;
+	for ( i = 0; i < x.length; i++ ) {
+		actual = atan2f( y[i], x[ i ] );
+		e = float64ToFloat32( expected[ i ] );
+		if ( actual === e ) {
+			t.equal( actual, e, 'x: '+x[ i ]+'. E: '+e );
+		} else {
+			delta = abs( actual - e );
+			tol = 2.0 * EPS * abs( e );
+			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y[ i ]+'. actual '+actual+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the `atan2f` function (when x is negative and y is positive)', function test( t ) {
+	var expected;
+	var actual;
+	var delta;
+	var tol;
+	var e;
+	var x;
+	var y;
+	var i;
+
+	y = negativePositive.y;
+	x = negativePositive.x;
+	expected = negativePositive.expected;
+	for ( i = 0; i < x.length; i++ ) {
+		actual = atan2f( y[i], x[ i ] );
+		e = float64ToFloat32( expected[ i ] );
+		if ( actual === e ) {
+			t.equal( actual, e, 'x: '+x[ i ]+'. E: '+e );
+		} else {
+			delta = abs( actual - e );
+			tol = EPS * abs( e );
+			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y[ i ]+'. actual '+actual+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the `atan2f` function (when x and y are negative)', function test( t ) {
+	var expected;
+	var actual;
+	var delta;
+	var tol;
+	var e;
+	var x;
+	var y;
+	var i;
+
+	y = negativeNegative.y;
+	x = negativeNegative.x;
+	expected = negativeNegative.expected;
+	for ( i = 0; i < x.length; i++ ) {
+		actual = atan2f( y[i], x[ i ] );
+		e = float64ToFloat32( expected[ i ] );
+		if ( actual === e ) {
+			t.equal( actual, e, 'x: '+x[ i ]+'. E: '+e );
+		} else {
+			delta = abs( actual - e );
+			tol = EPS * abs( e );
+			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y[ i ]+'. actual '+actual+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+		}
+	}
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.native.js
new file mode 100644
index 000000000000..06fb74c5e5aa
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/atan2f/test/test.native.js
@@ -0,0 +1,255 @@
+/**
+* @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 isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' );
+var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var PI = require( '@stdlib/constants/float32/pi' );
+
+
+// FIXTURES //
+
+var positivePositive = require( './fixtures/julia/positive_positive.json' );
+var negativePositive = require( './fixtures/julia/negative_positive.json' );
+var negativeNegative = require( './fixtures/julia/negative_negative.json' );
+
+
+// VARIABLES //
+
+var atan2f = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( atan2f instanceof Error )
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof atan2f, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function has two parameters: a numerator and a denominator value', opts, function test( t ) {
+	t.equal( atan2f.length, 2.0, 'arity is 2' );
+	t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN` as either of the arguments', opts, function test( t ) {
+	t.equal( isnanf( atan2f( 2.0, NaN ) ), true, 'returns NaN' );
+	t.equal( isnanf( atan2f( NaN, 3.0 ) ), true, 'returns NaN' );
+	t.end();
+});
+
+tape( 'the function returns `+0` if provided `y = +0.0` and `x >= 0`', opts, function test( t ) {
+	t.equal( isPositiveZero( atan2f( +0.0, 0.0 ) ), true, 'returns +0' );
+	t.equal( isPositiveZero( atan2f( +0.0, 2.0 ) ), true, 'returns +0' );
+	t.equal( isPositiveZero( atan2f( +0.0, 4.0 ) ), true, 'returns +0' );
+	t.equal( isPositiveZero( atan2f( +0.0, 5.0 ) ), true, 'returns +0' );
+	t.equal( isPositiveZero( atan2f( +0.0, 10.0 ) ), true, 'returns +0' );
+	t.end();
+});
+
+tape( 'the function returns `-0` if provided `y = -0.0` and `x >= 0`', opts, function test( t ) {
+	t.equal( isNegativeZero( atan2f( -0.0, 0.0 ) ), true, 'returns -0' );
+	t.equal( isNegativeZero( atan2f( -0.0, 2.0 ) ), true, 'returns -0' );
+	t.equal( isNegativeZero( atan2f( -0.0, 4.0 ) ), true, 'returns -0' );
+	t.equal( isNegativeZero( atan2f( -0.0, 5.0 ) ), true, 'returns -0' );
+	t.equal( isNegativeZero( atan2f( -0.0, 10.0 ) ), true, 'returns -0' );
+	t.end();
+});
+
+tape( 'the function returns `PI` if provided `y = +0.0` and `x <= -0.0`', opts, function test( t ) {
+	t.equal( atan2f( +0.0, -0.0 ), +PI, 'returns +PI' );
+	t.equal( atan2f( +0.0, -2.0 ), +PI, 'returns +PI' );
+	t.equal( atan2f( +0.0, -4.0 ), +PI, 'returns +PI' );
+	t.equal( atan2f( +0.0, -5.0 ), +PI, 'returns +PI' );
+	t.equal( atan2f( +0.0, -10.0 ), +PI, 'returns +PI' );
+	t.end();
+});
+
+tape( 'the function returns `-PI` if provided `y = -0.0` and `x <= -0.0`', opts, function test( t ) {
+	t.equal( atan2f( -0.0, -0.0 ), -PI, 'returns -PI' );
+	t.equal( atan2f( -0.0, -2.0 ), -PI, 'returns -PI' );
+	t.equal( atan2f( -0.0, -4.0 ), -PI, 'returns -PI' );
+	t.equal( atan2f( -0.0, -5.0 ), -PI, 'returns -PI' );
+	t.equal( atan2f( -0.0, -10.0 ), -PI, 'returns -PI' );
+	t.end();
+});
+
+tape( 'the function returns `+PI/4` if provided `x = y = +infinity`', opts, function test( t ) {
+	t.equal( atan2f( PINF, PINF ), +PI/4.0, 'returns +PI/4' );
+	t.end();
+});
+
+tape( 'the function returns `-PI/4` if provided `x = -y = +infinity`', opts, function test( t ) {
+	t.equal( atan2f( NINF, PINF ), -PI/4.0, 'returns -PI/4' );
+	t.end();
+});
+
+tape( 'the function returns `*3*PI/4` if provided `-x = y = +infinity`', opts, function test( t ) {
+	t.equal( atan2f( PINF, NINF ), float64ToFloat32( +3.0*PI/4.0 ), 'returns +3*PI/4' );
+	t.end();
+});
+
+tape( 'the function returns `-3*PI/4` if provided `x = y = -infinity`', opts, function test( t ) {
+	t.equal( atan2f( NINF, NINF ), float64ToFloat32( -3.0*PI/4.0 ), 'returns -3*PI/4' );
+	t.end();
+});
+
+tape( 'the function returns `0.0` when `x = +infinity`', opts, function test( t ) {
+	t.equal( atan2f( -2.0, PINF ), 0.0, 'returns 0.0' );
+	t.equal( atan2f( 0.0, PINF ), 0.0, 'returns 0.0' );
+	t.equal( atan2f( 2.0, PINF ), 0.0, 'returns 0.0' );
+	t.end();
+});
+
+tape( 'the function returns `+PI` when `y > 0` and `x = -infinity`', opts, function test( t ) {
+	t.equal( atan2f( 1.0, NINF ), PI, 'returns PI' );
+	t.equal( atan2f( 2.0, NINF ), PI, 'returns PI' );
+	t.equal( atan2f( 3.0, NINF ), PI, 'returns PI' );
+	t.end();
+});
+
+tape( 'the function returns `-PI` when `y < 0` and `x = -infinity`', opts, function test( t ) {
+	t.equal( atan2f( -1.0, NINF ), -PI, 'returns -PI' );
+	t.equal( atan2f( -2.0, NINF ), -PI, 'returns -PI' );
+	t.equal( atan2f( -3.0, NINF ), -PI, 'returns -PI' );
+	t.end();
+});
+
+tape( 'the function returns `+PI/2` when `y = +infinity`', opts, function test( t ) {
+	t.equal( atan2f( PINF, -1.0 ), PI/2.0, 'returns PI/2' );
+	t.equal( atan2f( PINF, 0.0 ), PI/2.0, 'returns PI/2' );
+	t.equal( atan2f( PINF, 2.0 ), PI/2.0, 'returns PI/2' );
+	t.end();
+});
+
+tape( 'the function returns `-PI/2` when `y = -infinity`', opts, function test( t ) {
+	t.equal( atan2f( NINF, -1.0 ), -PI/2.0, 'returns -PI/2' );
+	t.equal( atan2f( NINF, 0.0 ), -PI/2.0, 'returns -PI/2' );
+	t.equal( atan2f( NINF, 2.0 ), -PI/2.0, 'returns -PI/2' );
+	t.end();
+});
+
+tape( 'the function returns `PI/2` if provided a positive `y` and `x=0`', opts, function test( t ) {
+	t.equal( atan2f( 2.0, 0.0 ), PI/2.0, 'returns PI/2' );
+	t.equal( atan2f( 1.0, 0.0 ), PI/2.0, 'returns PI/2' );
+	t.equal( atan2f( 0.5, 0.0 ), PI/2.0, 'returns PI/2' );
+	t.end();
+});
+
+tape( 'the function returns `-PI/2` if provided a negative `y` and `x=0`', opts, function test( t ) {
+	t.equal( atan2f( -2.0, 0.0 ), -PI/2.0, 'returns PI/2' );
+	t.equal( atan2f( -1.0, 0.0 ), -PI/2.0, 'returns PI/2' );
+	t.equal( atan2f( -0.5, 0.0 ), -PI/2.0, 'returns PI/2' );
+	t.end();
+});
+
+tape( 'the function evaluates the `atan2f` function (when x and y are positive)', opts, function test( t ) {
+	var expected;
+	var actual;
+	var delta;
+	var tol;
+	var e;
+	var x;
+	var y;
+	var i;
+
+	y = positivePositive.y;
+	x = positivePositive.x;
+	expected = positivePositive.expected;
+	for ( i = 0; i < x.length; i++ ) {
+		actual = atan2f( y[i], x[ i ] );
+		e = float64ToFloat32( expected[ i ] );
+		if ( actual === e ) {
+			t.equal( actual, e, 'x: '+x[ i ]+'. E: '+e );
+		} else {
+			delta = abs( actual - e );
+			tol = 10.0 * EPS * abs( e );
+			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y[ i ]+'. actual '+actual+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the `atan2f` function (when x is negative and y is positive)', opts, function test( t ) {
+	var expected;
+	var actual;
+	var delta;
+	var tol;
+	var e;
+	var x;
+	var y;
+	var i;
+
+	y = negativePositive.y;
+	x = negativePositive.x;
+	expected = negativePositive.expected;
+	for ( i = 0; i < x.length; i++ ) {
+		actual = atan2f( y[i], x[ i ] );
+		e = float64ToFloat32( expected[ i ] );
+		if ( actual === e ) {
+			t.equal( actual, e, 'x: '+x[ i ]+'. E: '+e );
+		} else {
+			delta = abs( actual - e );
+			tol = 2.0 * EPS * abs( e );
+			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y[ i ]+'. actual '+actual+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the `atan2f` function (when x and y are negative)', opts, function test( t ) {
+	var expected;
+	var actual;
+	var delta;
+	var tol;
+	var e;
+	var x;
+	var y;
+	var i;
+
+	y = negativeNegative.y;
+	x = negativeNegative.x;
+	expected = negativeNegative.expected;
+	for ( i = 0; i < x.length; i++ ) {
+		actual = atan2f( y[i], x[ i ] );
+		e = float64ToFloat32( expected[ i ] );
+		if ( actual === e ) {
+			t.equal( actual, e, 'x: '+x[ i ]+'. E: '+e );
+		} else {
+			delta = abs( actual - e );
+			tol = 2.0 * EPS * abs( e );
+			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y[ i ]+'. actual '+actual+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+		}
+	}
+	t.end();
+});