From cb213f6308c473f325c35f9e52c6d97b0b35884d Mon Sep 17 00:00:00 2001
From: Vivek Maurya <vm8118134@gmail.com>
Date: Sat, 7 Dec 2024 00:42:26 +0530
Subject: [PATCH] feat(math): add math/base/special/sqrtpif

---
 .../math/base/special/sqrtpif/README.md       | 201 ++++++++++++
 .../special/sqrtpif/benchmark/benchmark.js    |  51 ++++
 .../sqrtpif/benchmark/benchmark.native.js     |  60 ++++
 .../sqrtpif/benchmark/c/native/Makefile       | 146 +++++++++
 .../sqrtpif/benchmark/c/native/benchmark.c    | 123 ++++++++
 .../math/base/special/sqrtpif/binding.gyp     | 170 +++++++++++
 .../math/base/special/sqrtpif/docs/repl.txt   |  32 ++
 .../special/sqrtpif/docs/types/index.d.ts     |  56 ++++
 .../base/special/sqrtpif/docs/types/test.ts   |  44 +++
 .../base/special/sqrtpif/examples/c/Makefile  | 146 +++++++++
 .../base/special/sqrtpif/examples/c/example.c |  33 ++
 .../base/special/sqrtpif/examples/index.js    |  30 ++
 .../math/base/special/sqrtpif/include.gypi    |  53 ++++
 .../stdlib/math/base/special/sqrtpif.h        |  38 +++
 .../math/base/special/sqrtpif/lib/index.js    |  52 ++++
 .../math/base/special/sqrtpif/lib/main.js     |  58 ++++
 .../math/base/special/sqrtpif/lib/native.js   |  58 ++++
 .../math/base/special/sqrtpif/manifest.json   |  76 +++++
 .../math/base/special/sqrtpif/package.json    |  68 +++++
 .../math/base/special/sqrtpif/src/Makefile    |  70 +++++
 .../math/base/special/sqrtpif/src/addon.c     |  23 ++
 .../math/base/special/sqrtpif/src/main.c      |  35 +++
 .../sqrtpif/test/fixtures/julia/REQUIRE       |   2 +
 .../test/fixtures/julia/huge_positive.json    |   1 +
 .../test/fixtures/julia/large_positive.json   |   1 +
 .../test/fixtures/julia/medium_positive.json  |   1 +
 .../sqrtpif/test/fixtures/julia/runner.jl     |  96 ++++++
 .../test/fixtures/julia/small_positive.json   |   1 +
 .../sqrtpif/test/fixtures/julia/smaller.json  |   1 +
 .../test/fixtures/julia/subnormal.json        |   1 +
 .../test/fixtures/julia/tiny_positive.json    |   1 +
 .../fixtures/julia/very_large_positive.json   |   1 +
 .../math/base/special/sqrtpif/test/test.js    | 278 +++++++++++++++++
 .../base/special/sqrtpif/test/test.native.js  | 287 ++++++++++++++++++
 34 files changed, 2294 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/README.md
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/benchmark.native.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/c/native/Makefile
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/c/native/benchmark.c
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/binding.gyp
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/examples/c/Makefile
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/examples/c/example.c
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/include.gypi
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/include/stdlib/math/base/special/sqrtpif.h
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/lib/native.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/manifest.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/package.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/src/Makefile
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/src/addon.c
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/src/main.c
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/REQUIRE
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/huge_positive.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/large_positive.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/medium_positive.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/runner.jl
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/small_positive.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/smaller.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/subnormal.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/tiny_positive.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/very_large_positive.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/test/test.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/sqrtpif/test/test.native.js

diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/README.md b/lib/node_modules/@stdlib/math/base/special/sqrtpif/README.md
new file mode 100644
index 00000000000..a8ced4ae085
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/README.md
@@ -0,0 +1,201 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2022 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.
+
+-->
+
+# sqrtpif
+
+> Compute the principal [square root][@stdlib/math/base/special/sqrtf] of the product of π and a positive number.
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var sqrtpif = require( '@stdlib/math/base/special/sqrtpif' );
+```
+
+#### sqrtpif( x )
+
+Computes the principal [square root][@stdlib/math/base/special/sqrtf] of the product of π and a positive single-precision floating-point number.
+
+```javascript
+var v = sqrtpif( 4.0 );
+// returns ~3.5449
+
+v = sqrtpif( 10.0 );
+// returns ~5.60499
+
+v = sqrtpif( 0.0 );
+// returns 0.0
+
+v = sqrtpif( NaN );
+// returns NaN
+```
+
+For negative numbers, the principal [square root][@stdlib/math/base/special/sqrtf] is **not** defined.
+
+```javascript
+var v = sqrtpif( -4.0 );
+// returns NaN
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var discreteUniform = require( '@stdlib/random/base/discrete-uniform' );
+var sqrtpif = require( '@stdlib/math/base/special/sqrtpif' );
+
+var x;
+var i;
+
+for ( i = 0; i < 100; i++ ) {
+    x = discreteUniform( 0, 100 );
+    console.log( 'sqrtpif(%f) = %f', x, sqrtpif( x ) );
+}
+```
+
+</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/sqrtpif.h"
+```
+
+#### stdlib_base_sqrtpif( x )
+
+Computes the principal [square root][@stdlib/math/base/special/sqrtf] of the product of π and a positive single-precision floating-point number.
+
+```c
+float x = stdlib_base_sqrtpif( 4.0 );
+// returns ~3.5449
+
+x = stdlib_base_sqrtpif( 10.0 );
+// returns ~5.60499
+```
+
+The function accepts the following arguments:
+
+-   **x**: `[in] float` input value.
+
+```c
+float stdlib_base_sqrtpif( 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/sqrtpif.h"
+#include <stdlib.h>
+#include <stdio.h>
+
+int main( void ) {
+    float x;
+    float v;
+    int i;
+
+    for ( i = 0; i < 100; i++ ) {
+        x = ( (float)rand() / (float)RAND_MAX ) * 100.0;
+        v = stdlib_base_sqrtpif( x );
+        printf( "sqrtpif(%lf) = %lf\n", x, v );
+    }
+}
+```
+
+</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/sqrtf`][@stdlib/math/base/special/sqrtf]</span><span class="delimiter">: </span><span class="description">compute the principal square root of a float-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">
+
+[@stdlib/math/base/special/sqrtf]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/sqrtf
+
+<!-- <related-links> -->
+
+<!-- </related-links> -->
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/benchmark.js
new file mode 100644
index 00000000000..9541301401e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/benchmark.js
@@ -0,0 +1,51 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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 isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var sqrtpif = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = ( randu()*100000.0 ) - 0.0;
+		y = sqrtpif( x );
+		if ( isnan( y ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/benchmark.native.js
new file mode 100644
index 00000000000..6a799dddadd
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/benchmark.native.js
@@ -0,0 +1,60 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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 isnan = require( '@stdlib/math/base/assert/is-nan' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var sqrtpif = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( sqrtpif instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = ( randu()*100000.0 ) - 0.0;
+		y = sqrtpif( x );
+		if ( isnan( y ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( y ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/c/native/Makefile
new file mode 100644
index 00000000000..d6b58c7f5d3
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/c/native/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2022 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/sqrtpif/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/c/native/benchmark.c
new file mode 100644
index 00000000000..1dceccbb102
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/benchmark/c/native/benchmark.c
@@ -0,0 +1,123 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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/sqrtpif.h"
+#include <stdlib.h>
+#include <stdio.h>
+#include <math.h>
+#include <time.h>
+#include <sys/time.h>
+
+#define NAME "sqrtpif"
+#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;
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+	double elapsed;
+	float x;
+	float y;
+	double t;
+	int i;
+
+	t = tic();
+	for ( i = 0; i < ITERATIONS; i++ ) {
+		x = ( (float)rand() * 100000.0 ) - 0.0;
+		y = stdlib_base_sqrtpif( x );
+		if ( y != y ) {
+			printf( "should not return NaN\n" );
+			break;
+		}
+	}
+	elapsed = tic() - t;
+	if ( y != y ) {
+		printf( "should not return NaN\n" );
+	}
+	return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+	double elapsed;
+	int i;
+
+	// Use the current time to seed the random number generator:
+	srand( time( NULL ) );
+
+	print_version();
+	for ( i = 0; i < REPEATS; i++ ) {
+		printf( "# c::%s\n", NAME );
+		elapsed = benchmark();
+		print_results( elapsed );
+		printf( "ok %d benchmark finished\n", i+1 );
+	}
+	print_summary( REPEATS, REPEATS );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/binding.gyp b/lib/node_modules/@stdlib/math/base/special/sqrtpif/binding.gyp
new file mode 100644
index 00000000000..1058b57bab1
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/binding.gyp
@@ -0,0 +1,170 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2022 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/sqrtpif/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/sqrtpif/docs/repl.txt
new file mode 100644
index 00000000000..492eeb748c2
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/docs/repl.txt
@@ -0,0 +1,32 @@
+
+{{alias}}( x )
+    Computes the principal square root of the product of π and a positive
+    single-precision floating-point number.
+
+    For `x < 0`, the square root is not defined.
+
+    Parameters
+    ----------
+    x: number
+        Input value.
+
+    Returns
+    -------
+    y: number
+        Principal square root of the product of π and the input value.
+
+    Examples
+    --------
+    > var y = {{alias}}( 4.0 )
+    ~3.5449
+    > y = {{alias}}( 10.0 )
+    ~5.60499
+    > y = {{alias}}( 0.0 )
+    0.0
+    > y = {{alias}}( -4.0 )
+    NaN
+    > y = {{alias}}( NaN )
+    NaN
+
+    See Also
+    --------
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/sqrtpif/docs/types/index.d.ts
new file mode 100644
index 00000000000..8c31b6fbadd
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/docs/types/index.d.ts
@@ -0,0 +1,56 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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 principal square root of the product of π and a positive single-precision floating-point number.
+*
+* ## Notes
+*
+* -   For `x < 0`, the principal square root is not defined.
+*
+* @param x - input value
+* @returns result
+*
+* @example
+* var v = sqrtpif( 4.0 );
+* // returns ~3.5449
+*
+* @example
+* var v = sqrtpif( 10.0 );
+* // returns ~5.60499
+*
+* @example
+* var v = sqrtpif( 0.0 );
+* // returns 0.0
+*
+* @example
+* var v = sqrtpif( -4.0 );
+* // returns NaN
+*
+* @example
+* var v = sqrtpif( NaN );
+* // returns NaN
+*/
+declare function sqrtpif( x: number ): number;
+
+
+// EXPORTS //
+
+export = sqrtpif;
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/sqrtpif/docs/types/test.ts
new file mode 100644
index 00000000000..4136e7ec9cf
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/docs/types/test.ts
@@ -0,0 +1,44 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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 sqrtpif = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+	sqrtpif( 2 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+	sqrtpif( true ); // $ExpectError
+	sqrtpif( false ); // $ExpectError
+	sqrtpif( null ); // $ExpectError
+	sqrtpif( undefined ); // $ExpectError
+	sqrtpif( '5' ); // $ExpectError
+	sqrtpif( [] ); // $ExpectError
+	sqrtpif( {} ); // $ExpectError
+	sqrtpif( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+	sqrtpif(); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/sqrtpif/examples/c/Makefile
new file mode 100644
index 00000000000..91d364d19fc
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/examples/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2022 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/sqrtpif/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/sqrtpif/examples/c/example.c
new file mode 100644
index 00000000000..a1e340915cd
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/examples/c/example.c
@@ -0,0 +1,33 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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/sqrtpif.h"
+#include <stdlib.h>
+#include <stdio.h>
+
+int main( void ) {
+    float x;
+    float v;
+    int i;
+
+    for ( i = 0; i < 100; i++ ) {
+        x = ( (float)rand() / (float)RAND_MAX ) * 100.0;
+        v = stdlib_base_sqrtpif( x );
+        printf( "sqrtpif(%lf) = %lf\n", x, v );
+    }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/examples/index.js b/lib/node_modules/@stdlib/math/base/special/sqrtpif/examples/index.js
new file mode 100644
index 00000000000..24ff70bb604
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/examples/index.js
@@ -0,0 +1,30 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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 discreteUniform = require( '@stdlib/random/base/discrete-uniform' );
+var sqrtpif = require( './../lib' );
+
+var x;
+var i;
+
+for ( i = 0; i < 100; i++ ) {
+	x = discreteUniform( 0, 100 );
+	console.log( 'sqrtpif(%d) = %d', x, sqrtpif( x ) );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/include.gypi b/lib/node_modules/@stdlib/math/base/special/sqrtpif/include.gypi
new file mode 100644
index 00000000000..3b437d52479
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/include.gypi
@@ -0,0 +1,53 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2022 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/sqrtpif/include/stdlib/math/base/special/sqrtpif.h b/lib/node_modules/@stdlib/math/base/special/sqrtpif/include/stdlib/math/base/special/sqrtpif.h
new file mode 100644
index 00000000000..129ccccb466
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/include/stdlib/math/base/special/sqrtpif.h
@@ -0,0 +1,38 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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_SQRTPIF_H
+#define STDLIB_MATH_BASE_SPECIAL_SQRTPIF_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
+
+/**
+* Compute the principal square root of the product of π and a positive double-precision floating-point number.
+*/
+float stdlib_base_sqrtpif( const float x );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif // !STDLIB_MATH_BASE_SPECIAL_SQRTPIF_H
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/lib/index.js b/lib/node_modules/@stdlib/math/base/special/sqrtpif/lib/index.js
new file mode 100644
index 00000000000..c66c3e26bb4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/lib/index.js
@@ -0,0 +1,52 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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 principal square root of the product of π and a positive single-precision floating-point number.
+*
+* @module @stdlib/math/base/special/sqrtpif
+*
+* @example
+* var sqrtpif = require( '@stdlib/math/base/special/sqrtpif' );
+*
+* var v = sqrtpif( 4.0 );
+* // returns ~3.5449
+*
+* v = sqrtpif( 10.0 );
+* // returns ~5.60499
+*
+* v = sqrtpif( 0.0 );
+* // returns 0.0
+*
+* v = sqrtpif( -4.0 );
+* // returns NaN
+*
+* v = sqrtpif( NaN );
+* // returns NaN
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/lib/main.js b/lib/node_modules/@stdlib/math/base/special/sqrtpif/lib/main.js
new file mode 100644
index 00000000000..627dfbd26c8
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/lib/main.js
@@ -0,0 +1,58 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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 sqrtf = require( '@stdlib/math/base/special/sqrtf' );
+var PI = require( '@stdlib/constants/float32/pi' );
+
+
+// MAIN //
+
+/**
+* Computes the principal square root of the product of 𝛑 and a positive single-precision floating-point number.
+*
+* @param {number} x - input value
+* @returns {number} result
+*
+* @example
+* var v = sqrtpif( 4.0 );
+* // returns ~3.5449
+*
+* v = sqrtpif( 10.0 );
+* // returns ~5.60499
+*
+* v = sqrtpif( 0.0 );
+* // returns 0.0
+*
+* v = sqrtpif( -4.0 );
+* // returns NaN
+*
+* v = sqrtpif( NaN );
+* // returns NaN
+*/
+function sqrtpif( x ) {
+	return sqrtf( x * PI );
+}
+
+
+// EXPORTS //
+
+module.exports = sqrtpif;
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/lib/native.js b/lib/node_modules/@stdlib/math/base/special/sqrtpif/lib/native.js
new file mode 100644
index 00000000000..b92c98f5bad
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/lib/native.js
@@ -0,0 +1,58 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var addon = require( './../src/addon.node' );
+
+
+// MAIN //
+
+/**
+* Computes the principal square root of the product of 𝛑 and a positive single-precision floating-point number.
+*
+* @private
+* @param {number} x - input value
+* @returns {number} result
+*
+* @example
+* var v = sqrtpif( 4.0 );
+* // returns ~3.5449
+*
+* v = sqrtpif( 10.0 );
+* // returns ~5.60499
+*
+* v = sqrtpif( 0.0 );
+* // returns 0.0
+*
+* v = sqrtpif( -4.0 );
+* // returns NaN
+*
+* v = sqrtpif( NaN );
+* // returns NaN
+*/
+function sqrtpif( x ) {
+	return addon( x );
+}
+
+
+// EXPORTS //
+
+module.exports = sqrtpif;
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/manifest.json b/lib/node_modules/@stdlib/math/base/special/sqrtpif/manifest.json
new file mode 100644
index 00000000000..ccda6c02996
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/manifest.json
@@ -0,0 +1,76 @@
+{
+  "options": {
+    "task": "build"
+  },
+  "fields": [
+    {
+      "field": "src",
+      "resolve": true,
+      "relative": true
+    },
+    {
+      "field": "include",
+      "resolve": true,
+      "relative": true
+    },
+    {
+      "field": "libraries",
+      "resolve": false,
+      "relative": false
+    },
+    {
+      "field": "libpath",
+      "resolve": true,
+      "relative": false
+    }
+  ],
+  "confs": [
+    {
+      "task": "build",
+      "src": [
+        "./src/main.c"
+      ],
+      "include": [
+        "./include"
+      ],
+      "libraries": [],
+      "libpath": [],
+      "dependencies": [
+        "@stdlib/math/base/napi/unary",
+        "@stdlib/math/base/special/sqrtf",
+        "@stdlib/constants/float32/pi"
+      ]
+    },
+    {
+      "task": "benchmark",
+      "src": [
+        "./src/main.c"
+      ],
+      "include": [
+        "./include"
+      ],
+      "libraries": [],
+      "libpath": [],
+      "dependencies": [
+        "@stdlib/math/base/special/sqrtf",
+        "@stdlib/constants/float32/pi"
+      ]
+    },
+    {
+      "task": "examples",
+      "src": [
+        "./src/main.c"
+      ],
+      "include": [
+        "./include"
+      ],
+      "libraries": [],
+      "libpath": [],
+      "dependencies": [
+        "@stdlib/math/base/special/sqrtf",
+        "@stdlib/constants/float32/pi"
+      ]
+    }
+  ]
+}
+
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/package.json b/lib/node_modules/@stdlib/math/base/special/sqrtpif/package.json
new file mode 100644
index 00000000000..d5fa83823e6
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/package.json
@@ -0,0 +1,68 @@
+{
+  "name": "@stdlib/math/base/special/sqrtpif",
+  "version": "0.0.0",
+  "description": "Compute the principal square root of the product of π and a positive single-precision floating-point number.",
+  "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.sqrt",
+    "sqrtpif",
+    "principal",
+    "square",
+    "root",
+    "power",
+    "number",
+    "pi"
+  ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/src/Makefile b/lib/node_modules/@stdlib/math/base/special/sqrtpif/src/Makefile
new file mode 100644
index 00000000000..f79b8723871
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/src/Makefile
@@ -0,0 +1,70 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2022 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/sqrtpif/src/addon.c b/lib/node_modules/@stdlib/math/base/special/sqrtpif/src/addon.c
new file mode 100644
index 00000000000..7d36e365550
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/src/addon.c
@@ -0,0 +1,23 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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/sqrtpif.h"
+#include "stdlib/math/base/napi/unary.h"
+
+// cppcheck-suppress shadowFunction
+STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_sqrtpif )
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/src/main.c b/lib/node_modules/@stdlib/math/base/special/sqrtpif/src/main.c
new file mode 100644
index 00000000000..edaa1854fc2
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/src/main.c
@@ -0,0 +1,35 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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/sqrtpif.h"
+#include "stdlib/math/base/special/sqrtf.h"
+#include "stdlib/constants/float32/pi.h"
+
+/**
+* Compute the principal square root of the product of π and a positive single-precision floating-point number.
+*
+* @param x    input value
+* @return	  output value
+*
+* @example
+* float out = stdlib_base_sqrtpif( 4.0 );
+* // returns 3.5449
+*/
+float stdlib_base_sqrtpif( const float x ) {
+	return stdlib_base_sqrtf( x * STDLIB_CONSTANT_FLOAT32_PI );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/REQUIRE
new file mode 100644
index 00000000000..308c3be89c8
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/huge_positive.json b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/huge_positive.json
new file mode 100644
index 00000000000..4091557a935
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/huge_positive.json
@@ -0,0 +1 @@
+{"expected":[1.7724538e15,2.5061897e17,3.544243e17,4.3407757e17,5.0122856e17,5.6038984e17,6.138758e17,6.6306124e17,7.08842e17,7.518402e17,7.9250895e17,8.3119025e17,8.681497e17,9.035987e17,9.377086e17,9.706205e17,1.0024524e18,1.0333042e18,1.06326114e18,1.0923969e18,1.1207755e18,1.1484531e18,1.1754791e18,1.2018976e18,1.2277478e18,1.2530647e18,1.2778803e18,1.3022231e18,1.326119e18,1.3495918e18,1.3726634e18,1.3953536e18,1.4176806e18,1.4396615e18,1.4613117e18,1.4826458e18,1.5036773e18,1.5244186e18,1.5448815e18,1.5650769e18,1.5850149e18,1.6047053e18,1.624157e18,1.6433783e18,1.6623776e18,1.6811621e18,1.699739e18,1.7181151e18,1.7362967e18,1.7542899e18,1.7721003e18,1.7897336e18,1.8071948e18,1.8244889e18,1.8416207e18,1.8585944e18,1.8754146e18,1.8920852e18,1.9086103e18,1.9249936e18,1.9412385e18,1.9573487e18,1.9733272e18,1.9891775e18,2.0049024e18,2.020505e18,2.0359881e18,2.0513542e18,2.066606e18,2.0817463e18,2.096777e18,2.111701e18,2.1265201e18,2.1412366e18,2.1558527e18,2.1703704e18,2.1847917e18,2.1991184e18,2.2133522e18,2.2274952e18,2.2415489e18,2.255515e18,2.2693953e18,2.2831911e18,2.2969041e18,2.3105357e18,2.3240872e18,2.3375603e18,2.3509562e18,2.3642763e18,2.3775215e18,2.3906934e18,2.4037933e18,2.4168222e18,2.429781e18,2.4426712e18,2.4554937e18,2.4682497e18,2.48094e18,2.4935657e18,2.5061278e18,2.518627e18,2.531065e18,2.5434417e18,2.5557587e18,2.5680166e18,2.5802162e18,2.5923587e18,2.6044443e18,2.616474e18,2.6284488e18,2.6403694e18,2.6522362e18,2.6640502e18,2.6758122e18,2.6875225e18,2.699182e18,2.7107915e18,2.7223515e18,2.7338625e18,2.7453252e18,2.7567404e18,2.7681085e18,2.77943e18,2.7907056e18,2.8019358e18,2.813121e18,2.8242625e18,2.8353596e18,2.8464138e18,2.857425e18,2.868394e18,2.8793213e18,2.8902073e18,2.9010524e18,2.911857e18,2.9226218e18,2.9333472e18,2.9440334e18,2.9546808e18,2.96529e18,2.9758615e18,2.9863956e18,2.9968927e18,3.0073531e18,3.017777e18,3.0281655e18,3.0385183e18,3.0488358e18,3.0591184e18,3.0693667e18,3.0795812e18,3.0897615e18,3.0999084e18,3.1100225e18,3.1201037e18,3.130152e18,3.1401687e18,3.1501533e18,3.1601066e18,3.1700284e18,3.1799193e18,3.1897794e18,3.1996093e18,3.209409e18,3.219179e18,3.2289193e18,3.2386305e18,3.2483125e18,3.2579657e18,3.2675905e18,3.2771868e18,3.2867553e18,3.296296e18,3.3058093e18,3.315295e18,3.3247538e18,3.3341857e18,3.343591e18,3.35297e18,3.3623228e18,3.3716497e18,3.3809507e18,3.3902265e18,3.3994766e18,3.4087018e18,3.417902e18,3.4270777e18,3.436229e18,3.4453557e18,3.4544583e18,3.463537e18,3.472592e18,3.4816234e18,3.4906317e18,3.4996166e18,3.5085784e18,3.5175175e18,3.526434e18,3.5353276e18,3.5441993e18,3.5530487e18,3.5618762e18,3.570682e18,3.579466e18,3.5882284e18,3.5969696e18,3.6056895e18,3.6143883e18,3.6230665e18,3.6317237e18,3.6403604e18,3.6489765e18,3.6575724e18,3.6661483e18,3.6747042e18,3.68324e18,3.6917563e18,3.7002527e18,3.70873e18,3.7171877e18,3.7256262e18,3.7340457e18,3.7424462e18,3.750828e18,3.759191e18,3.7675354e18,3.7758615e18,3.7841694e18,3.792459e18,3.8007302e18,3.8089837e18,3.8172196e18,3.8254373e18,3.8336378e18,3.8418206e18,3.849986e18,3.858134e18,3.866265e18,3.8743788e18,3.882476e18,3.890556e18,3.8986192e18,3.906666e18,3.914696e18,3.9227098e18,3.930707e18,3.9386884e18,3.9466533e18,3.9546022e18,3.9625352e18,3.9704525e18,3.9783539e18,3.9862395e18,3.9941099e18,4.0019645e18,4.0098037e18,4.0176279e18,4.0254366e18,4.0332302e18,4.041009e18,4.0487726e18,4.0565214e18,4.0642557e18,4.0719748e18,4.0796796e18,4.08737e18,4.0950458e18,4.1027072e18,4.1103543e18,4.1179874e18,4.1256062e18,4.133211e18,4.140802e18,4.1483788e18,4.155942e18,4.1634913e18,4.171027e18,4.1785494e18,4.186058e18,4.193553e18,4.201035e18,4.2085034e18,4.2159586e18,4.223401e18,4.2308298e18,4.238246e18,4.245649e18,4.253039e18,4.2604165e18,4.267781e18,4.275133e18,4.2824722e18,4.289799e18,4.2971133e18,4.304415e18,4.3117043e18,4.3189815e18,4.3262465e18,4.333499e18,4.3407397e18,4.3479684e18,4.3551848e18,4.3623896e18,4.3695824e18,4.3767633e18,4.3839324e18,4.3910896e18,4.3982356e18,4.4053698e18,4.4124924e18,4.4196035e18,4.4267034e18,4.433792e18,4.440869e18,4.4479347e18,4.4549894e18,4.462033e18,4.469065e18,4.4760865e18,4.4830968e18,4.4900963e18,4.4970847e18,4.5040622e18,4.511029e18,4.517985e18,4.5249307e18,4.5318653e18,4.5387895e18,4.5457032e18,4.5526062e18,4.559499e18,4.5663812e18,4.5732531e18,4.5801146e18,4.586966e18,4.593807e18,4.600638e18,4.607459e18,4.61427e18,4.6210704e18,4.627861e18,4.6346416e18,4.6414124e18,4.648174e18,4.654925e18,4.661666e18,4.668398e18,4.6751196e18,4.681832e18,4.688535e18,4.695228e18,4.7019114e18,4.7085854e18,4.71525e18,4.7219055e18,4.7285515e18,4.735188e18,4.7418154e18,4.7484334e18,4.755042e18,4.761642e18,4.7682323e18,4.774814e18,4.7813863e18,4.7879493e18,4.794504e18,4.8010494e18,4.8075855e18,4.814113e18,4.820632e18,4.827142e18,4.8336433e18,4.840136e18,4.846619e18,4.853095e18,4.859561e18,4.866019e18,4.872468e18,4.878909e18,4.885341e18,4.891765e18,4.898181e18,4.9045877e18,4.9109863e18,4.9173766e18,4.923759e18,4.9301326e18,4.936498e18,4.9428556e18,4.949205e18,4.9555456e18,4.961879e18,4.9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diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/large_positive.json
new file mode 100644
index 00000000000..8187b84ae6b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/large_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/medium_positive.json b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/medium_positive.json
new file mode 100644
index 00000000000..529728140f9
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/medium_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/runner.jl
new file mode 100644
index 00000000000..b839b1c385b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/runner.jl
@@ -0,0 +1,96 @@
+#!/usr/bin/env julia
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2022 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, name )
+
+Generate fixture data and write to file.
+
+# Arguments
+
+* `x`: domain
+* `name::AbstractString`: output filename
+
+# Examples
+
+``` julia
+julia> x = range( -1000, stop = 1000, length = 2001 );
+julia> gen( x, \"data.json\" );
+```
+"""
+function gen( x, name )
+	y = Array{Float32}( undef, length(x) );
+	for i in eachindex(x)
+		y[i] = sqrt( x[i] * pi );
+	end
+
+	# 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 );
+
+# Subnormal values:
+x = range( 1.0e-38, stop = 1.0e-34, length = 5003 );
+gen( x, "subnormal.json" );
+
+# Positive tiny values:
+x = range( 1.0e-30, stop = 1.0e-38, length = 5003 );
+gen( x, "tiny_positive.json" );
+
+# Small(er) values:
+x = range( 0.0, stop = 0.8, length = 5003 );
+gen( x, "smaller.json" );
+
+# Positive small values:
+x = range( 0.8, stop = 3.0, length = 5003 );
+gen( x, "small_positive.json" );
+
+# Positive medium values:
+x = range( 3.0, stop = 20.0, length = 5003 );
+gen( x, "medium_positive.json" );
+
+# Large positive values:
+x = range( 20.0, stop = 50.0, length = 5003 );
+gen( x, "large_positive.json" );
+
+# Very large positive values:
+x = range( 50.0, stop = 500.0, length = 5003 );
+gen( x, "very_large_positive.json" );
+
+# Huge positive values:
+x = range( 1.0e30, stop = 1.0e38, length = 5003 );
+gen( x, "huge_positive.json" );
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/small_positive.json b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/small_positive.json
new file mode 100644
index 00000000000..33fbb74b326
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/small_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/smaller.json b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/smaller.json
new file mode 100644
index 00000000000..c13cc9d2c2d
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/smaller.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/subnormal.json b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/subnormal.json
new file mode 100644
index 00000000000..8ed54744753
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/subnormal.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/tiny_positive.json b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/tiny_positive.json
new file mode 100644
index 00000000000..ebacee29187
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/tiny_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/very_large_positive.json b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/very_large_positive.json
new file mode 100644
index 00000000000..e852691c5e9
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/fixtures/julia/very_large_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/test.js b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/test.js
new file mode 100644
index 00000000000..0febdf408aa
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/test.js
@@ -0,0 +1,278 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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 isnan = require( '@stdlib/math/base/assert/is-nan' );
+var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' );
+var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var absf = require( '@stdlib/math/base/special/absf' );
+var sqrtpif = require( './../lib' );
+
+
+// FIXTURES //
+
+var hugePositive = require( './fixtures/julia/huge_positive.json' );
+var veryLargePositive = require( './fixtures/julia/very_large_positive.json' );
+var largePositive = require( './fixtures/julia/large_positive.json' );
+var mediumPositive = require( './fixtures/julia/medium_positive.json' );
+var smallPositive = require( './fixtures/julia/small_positive.json' );
+var smaller = require( './fixtures/julia/smaller.json' );
+var tinyPositive = require( './fixtures/julia/tiny_positive.json' );
+var subnormal = require( './fixtures/julia/subnormal.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof sqrtpif, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root when `x` is on the interval `[50,500]`', function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = veryLargePositive.expected;
+	x = veryLargePositive.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS *10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root when `x` is on the interval `[20,50]`', function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = largePositive.expected;
+	x = largePositive.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS *10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root when `x` is on the interval `[3,20]`', function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = mediumPositive.expected;
+	x = mediumPositive.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS *10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root when `x` is on the interval `[0.8,3]`', function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = smallPositive.expected;
+	x = smallPositive.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS *10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates principal square root when `x` is on the interval `[0.0,0.8]`', function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = smaller.expected;
+	x = smaller.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS *10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root when `x` is on the interval `[1e-30,1e-38]`', function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = tinyPositive.expected;
+	x = tinyPositive.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS *10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root when `x` is subnormal', function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = subnormal.expected;
+	x = subnormal.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS *10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root for huge positive numbers', function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = hugePositive.expected;
+	x = hugePositive.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS *10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', function test( t ) {
+	var v = sqrtpif( NaN );
+	t.equal( isnan( v ), true, 'returns NaN' );
+	t.end();
+});
+
+tape( 'the function returns `+infinity` if provided `+infinity`', function test( t ) {
+	var v = sqrtpif( PINF );
+	t.equal( v, PINF, 'returns +infinity' );
+	t.end();
+});
+
+tape( 'the function returns `+0` if provided `+0`', function test( t ) {
+	var v = sqrtpif( +0.0 );
+	t.equal( isPositiveZero( v ), true, 'returns 0' );
+	t.end();
+});
+
+tape( 'the function returns `-0` if provided `-0`', function test( t ) {
+	var v = sqrtpif( -0.0 );
+	t.equal( isNegativeZero( v ), true, 'returns -0' );
+	t.end();
+});
+
+tape( 'the function returns `NaN` if provided a negative number', function test( t ) {
+	var v = sqrtpif( -4.0 );
+	t.equal( isnan( v ), true, 'returns NaN' );
+	t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', function test( t ) {
+	var v = sqrtpif( NaN );
+	t.equal( isnan( v ), true, 'returns NaN' );
+	t.end();
+});
+
+tape( 'the function returns `NaN` if provided `-infinity`', function test( t ) {
+	var v = sqrtpif( NINF );
+	t.equal( isnan( v ), true, 'returns NaN' );
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/test.native.js
new file mode 100644
index 00000000000..79513bcefde
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sqrtpif/test/test.native.js
@@ -0,0 +1,287 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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 isnan = require( '@stdlib/math/base/assert/is-nan' );
+var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' );
+var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var absf = require( '@stdlib/math/base/special/absf' );
+
+
+// FIXTURES //
+
+var hugePositive = require( './fixtures/julia/huge_positive.json' );
+var veryLargePositive = require( './fixtures/julia/very_large_positive.json' );
+var largePositive = require( './fixtures/julia/large_positive.json' );
+var mediumPositive = require( './fixtures/julia/medium_positive.json' );
+var smallPositive = require( './fixtures/julia/small_positive.json' );
+var smaller = require( './fixtures/julia/smaller.json' );
+var tinyPositive = require( './fixtures/julia/tiny_positive.json' );
+var subnormal = require( './fixtures/julia/subnormal.json' );
+
+
+// VARIABLES //
+
+var sqrtpif = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( sqrtpif instanceof Error )
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof sqrtpif, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root when `x` is on the interval `[50,500]`', opts, function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = veryLargePositive.expected;
+	x = veryLargePositive.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS * 10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root when `x` is on the interval `[20,50]`', opts, function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = largePositive.expected;
+	x = largePositive.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS * 10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root when `x` is on the interval `[3,20]`', opts, function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = mediumPositive.expected;
+	x = mediumPositive.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS * 10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root when `x` is on the interval `[0.8,3]`', opts, function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = smallPositive.expected;
+	x = smallPositive.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS * 10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates principal square root when `x` is on the interval `[0.0,0.8]`', opts, function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = smaller.expected;
+	x = smaller.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS * 10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root when `x` is on the interval `[1e-30,1e-38]`', opts, function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = tinyPositive.expected;
+	x = tinyPositive.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS * 10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root when `x` is subnormal', opts, function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = subnormal.expected;
+	x = subnormal.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS * 10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function evaluates the principal square root for huge positive numbers', opts, function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	expected = hugePositive.expected;
+	x = hugePositive.x;
+	for ( i = 0; i < x.length; i++ ) {
+		y = sqrtpif( x[i] );
+		if ( y === expected[i] ) {
+			t.equal( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
+		} else {
+			delta = absf( y - expected[i] );
+			tol = EPS * 10 * absf( expected[i] );
+			t.equal( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) {
+	var v = sqrtpif( NaN );
+	t.equal( isnan( v ), true, 'returns NaN' );
+	t.end();
+});
+
+tape( 'the function returns `+infinity` if provided `+infinity`', opts, function test( t ) {
+	var v = sqrtpif( PINF );
+	t.equal( v, PINF, 'returns +infinity' );
+	t.end();
+});
+
+tape( 'the function returns `+0` if provided `+0`', opts, function test( t ) {
+	var v = sqrtpif( +0.0 );
+	t.equal( isPositiveZero( v ), true, 'returns 0' );
+	t.end();
+});
+
+tape( 'the function returns `-0` if provided `-0`', opts, function test( t ) {
+	var v = sqrtpif( -0.0 );
+	t.equal( isNegativeZero( v ), true, 'returns -0' );
+	t.end();
+});
+
+tape( 'the function returns `NaN` if provided a negative number', opts, function test( t ) {
+	var v = sqrtpif( -4.0 );
+	t.equal( isnan( v ), true, 'returns NaN' );
+	t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) {
+	var v = sqrtpif( NaN );
+	t.equal( isnan( v ), true, 'returns NaN' );
+	t.end();
+});
+
+tape( 'the function returns `NaN` if provided `-infinity`', opts, function test( t ) {
+	var v = sqrtpif( NINF );
+	t.equal( isnan( v ), true, 'returns NaN' );
+	t.end();
+});