From e5ddcf58d1768162633d7911399186e9258a9f72 Mon Sep 17 00:00:00 2001
From: Karan Anand <anandkarancompsci@gmail.com>
Date: Tue, 11 Mar 2025 12:33:12 -0700
Subject: [PATCH 1/6] feat: temp commit

---
 .../math/base/special/rempio2f/LICENSE        | 192 ++++++
 .../math/base/special/rempio2f/README.md      | 228 +++++++
 .../special/rempio2f/benchmark/benchmark.js   |  54 ++
 .../rempio2f/benchmark/benchmark.native.js    |  63 ++
 .../rempio2f/benchmark/c/native/Makefile      | 146 ++++
 .../rempio2f/benchmark/c/native/benchmark.c   | 138 ++++
 .../math/base/special/rempio2f/binding.gyp    | 170 +++++
 .../math/base/special/rempio2f/docs/repl.txt  |  37 ++
 .../special/rempio2f/docs/types/index.d.ts    |  64 ++
 .../base/special/rempio2f/docs/types/test.ts  |  56 ++
 .../base/special/rempio2f/examples/c/Makefile | 146 ++++
 .../special/rempio2f/examples/c/example.c     |  35 +
 .../base/special/rempio2f/examples/index.js   |  32 +
 .../math/base/special/rempio2f/include.gypi   |  53 ++
 .../stdlib/math/base/special/rempio2.h        |  40 ++
 .../math/base/special/rempio2f/lib/index.js   |  47 ++
 .../special/rempio2f/lib/kernel_rempio2.js    | 428 ++++++++++++
 .../math/base/special/rempio2f/lib/main.js    | 144 ++++
 .../math/base/special/rempio2f/lib/native.js  |  56 ++
 .../special/rempio2f/lib/rempio2_medium.js    | 126 ++++
 .../math/base/special/rempio2f/manifest.json  | 100 +++
 .../math/base/special/rempio2f/package.json   |  65 ++
 .../math/base/special/rempio2f/src/Makefile   |  70 ++
 .../math/base/special/rempio2f/src/addon.c    |  42 ++
 .../math/base/special/rempio2f/src/main.c     | 626 ++++++++++++++++++
 .../math/base/special/rempio2f/test/test.js   | 266 ++++++++
 .../base/special/rempio2f/test/test.native.js | 282 ++++++++
 27 files changed, 3706 insertions(+)
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/LICENSE
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/README.md
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.native.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/Makefile
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/benchmark.c
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/binding.gyp
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/docs/repl.txt
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/index.d.ts
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/test.ts
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/Makefile
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/example.c
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/examples/index.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/include.gypi
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/rempio2.h
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/lib/index.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/lib/native.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/lib/rempio2_medium.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/manifest.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/package.json
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/src/Makefile
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/src/addon.c
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js
 create mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js

diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/LICENSE b/lib/node_modules/@stdlib/math/base/special/rempio2f/LICENSE
new file mode 100644
index 000000000000..a7566ad6f2c3
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/LICENSE
@@ -0,0 +1,192 @@
+
+                                 Apache License
+                           Version 2.0, January 2004
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+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
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+DEPENDENCIES & ATTRIBUTION
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diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/README.md b/lib/node_modules/@stdlib/math/base/special/rempio2f/README.md
new file mode 100644
index 000000000000..978033ba6f65
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/README.md
@@ -0,0 +1,228 @@
+<!--
+
+@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.
+
+-->
+
+# rempio2
+
+> Compute `x - nπ/2 = r`.
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var rempio2 = require( '@stdlib/math/base/special/rempio2' );
+```
+
+#### rempio2( x, y )
+
+Computes `x - nπ/2 = r`.
+
+```javascript
+var y = [ 0.0, 0.0 ];
+var n = rempio2( 128.0, y );
+// returns 81
+
+var y1 = y[ 0 ];
+// returns ~0.765
+
+var y2 = y[ 1 ];
+// returns ~3.618e-17
+```
+
+When `x` is `NaN` or infinite, the function returns `0` and sets the elements of `y` to `NaN`.
+
+```javascript
+var y = [ 0.0, 0.0 ];
+var n = rempio2( NaN, y );
+// returns 0
+
+var y1 = y[ 0 ];
+// returns NaN
+
+var y2 = y[ 1 ];
+// returns NaN
+
+y = [ 0.0, 0.0 ];
+n = rempio2( Infinity, y );
+// returns 0
+
+y1 = y[ 0 ];
+// returns NaN
+
+y2 = y[ 1 ];
+// returns NaN
+```
+
+</section>
+
+<!-- /.usage -->
+
+<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+## Notes
+
+-   The function returns `n` and stores the remainder `r` as two numbers in `y`, such that `y[0]+y[1] = r`.
+-   For input values larger than `2^20*π/2` in magnitude, the function **only** returns the last three binary digits of `n` and not the full result.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var linspace = require( '@stdlib/array/base/linspace' );
+var rempio2 = require( '@stdlib/math/base/special/rempio2' );
+
+var x = linspace( 0.0, 100.0, 100 );
+var y = [ 0.0, 0.0 ];
+var n;
+var i;
+
+for ( i = 0; i < x.length; i++ ) {
+    n = rempio2( x[ i ], y );
+    console.log( '%d - %dπ/2 = %d + %d', x[ i ], n, y[ 0 ], y[ 1 ] );
+}
+```
+
+</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/rempio2.h"
+```
+
+#### stdlib_base_rempio2( x, &rem1, &rem2 )
+
+Computes `x - nπ/2 = r`.
+
+```c
+#include <stdint.h>
+
+double rem1;
+double rem2;
+
+int32_t n = stdlib_base_rempio2( 4.0, &rem1, &rem2 );
+```
+
+The function accepts the following arguments:
+
+-   **x**: `[in] double` input value.
+-   **rem1**: `[out] double*` destination for first remainder number.
+-   **rem2**: `[out] double*` destination for second remainder number.
+
+```c
+int32_t stdlib_base_rempio2( const double x, double *rem1, double *rem2 );
+```
+
+</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">
+
+### Notes
+
+-   The function returns `n` and stores the remainder `r` as two numbers in `rem1` and `rem2`, respectively, such that `rem1+rem2 = r`.
+
+</section>
+
+<!-- /.notes -->
+
+<!-- C API usage examples. -->
+
+<section class="examples">
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/rempio2.h"
+#include <stdio.h>
+#include <stdint.h>
+#include <inttypes.h>
+
+int main( void ) {
+    const double x[] = { 0.0, 1.0, 4.0, 128.0 };
+
+    double rem1;
+    double rem2;
+    int32_t n;
+    int i;
+    for ( i = 0; i < 4; i++ ) {
+        n = stdlib_base_rempio2( x[ i ], &rem1, &rem2 );
+        printf( "%lf - %"PRId32"π/2 = %lf + %lf\n", x[ i ], n, rem1, rem2 );
+    }
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+</section>
+
+<!-- /.c -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</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">
+
+</section>
+
+<!-- /.links -->
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.js
new file mode 100644
index 000000000000..c654c7d2a26c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.js
@@ -0,0 +1,54 @@
+/**
+* @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/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var rempio2 = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var x;
+	var y;
+	var n;
+	var i;
+
+	y = [ 0.0, 0.0 ];
+	x = randu( 100, -100.0, 100.0 );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		n = rempio2( x[ i % x.length ], y );
+		if ( isnan( n ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( n ) || isnan( y[0] ) || isnan( y[1] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..d231943ea28c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.native.js
@@ -0,0 +1,63 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+*    http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var bench = require( '@stdlib/bench' );
+var randu = require( '@stdlib/random/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var rempio2 = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( rempio2 instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+	var x;
+	var y;
+	var n;
+	var i;
+
+	y = [ 0.0, 0.0 ];
+	x = randu( 100, -100.0, 100.0 );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		n = rempio2( x[ i % x.length ], y );
+		if ( isnan( n ) ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( isnan( n ) || isnan( y[0] ) || isnan( y[1] ) ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/Makefile
new file mode 100644
index 000000000000..f69e9da2b4d3
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2024 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+else
+	QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+	OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+	CC := $(C_COMPILER)
+else
+	CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+	-std=c99 \
+	-O3 \
+	-Wall \
+	-pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+	fPIC ?=
+else
+	fPIC ?= -fPIC
+endif
+
+# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`):
+INCLUDE ?=
+
+# List of source files:
+SOURCE_FILES ?=
+
+# List of libraries (e.g., `-lopenblas -lpthread`):
+LIBRARIES ?=
+
+# List of library paths (e.g., `-L /foo/bar -L /beep/boop`):
+LIBPATH ?=
+
+# List of C targets:
+c_targets := benchmark.out
+
+
+# RULES #
+
+#/
+# Compiles source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`)
+# @param {string} [SOURCE_FILES] - list of source files
+# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`)
+# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler (e.g., `gcc`)
+# @param {string} CFLAGS - C compiler options
+# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`)
+# @param {string} SOURCE_FILES - list of source files
+# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`)
+# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`)
+#/
+$(c_targets): %.out: %.c
+	$(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
+
+#/
+# Runs compiled benchmarks.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+	$(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+	$(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/benchmark.c
new file mode 100644
index 000000000000..293062cc950f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/benchmark.c
@@ -0,0 +1,138 @@
+/**
+* @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/rempio2.h"
+#include <stdlib.h>
+#include <stdio.h>
+#include <math.h>
+#include <time.h>
+#include <sys/time.h>
+
+#define NAME "rempio2"
+#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 double rand_double( void ) {
+	int r = rand();
+	return (double)r / ( (double)RAND_MAX + 1.0 );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+	double x[ 100 ];
+	double elapsed;
+	double rem1;
+	double rem2;
+	double y;
+	double t;
+	int i;
+
+	for ( i = 0; i < 100; i++ ) {
+		x[ i ] = ( rand_double() * 200.0 ) - 100.0;
+	}
+
+	t = tic();
+	for ( i = 0; i < ITERATIONS; i++ ) {
+		y = stdlib_base_rempio2( x[ i % 100 ], &rem1, &rem2 );
+		if ( y != y ) {
+			printf( "should not return NaN\n" );
+			break;
+		}
+	}
+	elapsed = tic() - t;
+	if ( y != y ) {
+		printf( "should not return NaN\n" );
+	}
+	return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+	double elapsed;
+	int i;
+
+	// Use the current time to seed the random number generator:
+	srand( time( NULL ) );
+
+	print_version();
+	for ( i = 0; i < REPEATS; i++ ) {
+		printf( "# c::native::%s\n", NAME );
+		elapsed = benchmark();
+		print_results( elapsed );
+		printf( "ok %d benchmark finished\n", i+1 );
+	}
+	print_summary( REPEATS, REPEATS );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/binding.gyp b/lib/node_modules/@stdlib/math/base/special/rempio2f/binding.gyp
new file mode 100644
index 000000000000..ec3992233442
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/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/rempio2f/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/repl.txt
new file mode 100644
index 000000000000..30267fa19272
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/repl.txt
@@ -0,0 +1,37 @@
+
+{{alias}}( x, y )
+    Computes `x - nπ/2 = r`.
+
+    The function returns `n` and stores the remainder `r` as the two numbers
+    `y[0]` and `y[1]`, such that `y[0] + y[1] = r`.
+
+    For input values larger than `2^20 * π/2` in magnitude, the function only
+    returns the last three binary digits of `n` and not the full result.
+
+    Parameters
+    ----------
+    x: number
+        Input value.
+
+    y: Array|TypedArray|Object
+        Remainder elements.
+
+    Returns
+    -------
+    n: integer
+        Factor of `π/2`.
+
+    Examples
+    --------
+    > var y = [ 0.0, 0.0 ];
+    > var n = {{alias}}( 128.0, y )
+    81
+    > var y1 = y[ 0 ]
+    ~0.765
+    > var y2 = y[ 1 ]
+    ~3.618e-17
+
+
+    See Also
+    --------
+
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/index.d.ts
new file mode 100644
index 000000000000..b99a2f922ea9
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/index.d.ts
@@ -0,0 +1,64 @@
+/*
+* @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
+
+/// <reference types="@stdlib/types"/>
+
+import { Collection } from '@stdlib/types/array';
+
+/**
+* Computes `x - nπ/2 = r`.
+*
+* ## Notes
+*
+* -   The function returns `n` and stores the remainder `r` as the two numbers `y[0]` and `y[1]`, such that `y[0] + y[1] = r`.
+* -   For input values larger than `2^20 * π/2` in magnitude, the function only returns the last three binary digits of `n` and not the full result.
+*
+* @param x - input value
+* @param y - remainder elements
+* @returns factor of `π/2`
+*
+* @example
+* var y = [ 0.0, 0.0 ];
+* var n = rempio2( 128.0, y );
+* // returns 81
+*
+* var y1 = y[ 0 ];
+* // returns ~0.765
+*
+* var y2 = y[ 1 ];
+* // returns ~3.618e-17
+*
+* @example
+* var y = [ 0.0, 0.0 ];
+* var n = rempio2( NaN, y );
+* // returns 0
+*
+* var y1 = y[ 0 ];
+* // returns NaN
+*
+* var y2 = y[ 1 ];
+* // returns NaN
+*/
+declare function rempio2( x: number, y: Collection<number> ): number;
+
+
+// EXPORTS //
+
+export = rempio2;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/test.ts
new file mode 100644
index 000000000000..75954335dd45
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/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.
+*/
+
+/// <reference types="@stdlib/types"/>
+
+import { Collection } from '@stdlib/types/array';
+import rempio2 = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+	const y: Collection<number> = [ 0.0, 0.0 ];
+	rempio2( 128, y ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number as its first argument...
+{
+	const y: Collection<number> = [ 0.0, 0.0 ];
+	rempio2( true, y ); // $ExpectError
+	rempio2( false, y ); // $ExpectError
+	rempio2( '5', y ); // $ExpectError
+	rempio2( [], y ); // $ExpectError
+	rempio2( {}, y ); // $ExpectError
+	rempio2( ( x: number ): number => x, y ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a value other than a collection as its second argument...
+{
+	rempio2( 128, true ); // $ExpectError
+	rempio2( 128, false ); // $ExpectError
+	rempio2( 128, 3 ); // $ExpectError
+	rempio2( 128, {} ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+	rempio2(); // $ExpectError
+	rempio2( 3 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/Makefile
new file mode 100644
index 000000000000..6aed70daf167
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2024 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+else
+	QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+	OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+	CC := $(C_COMPILER)
+else
+	CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+	-std=c99 \
+	-O3 \
+	-Wall \
+	-pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+	fPIC ?=
+else
+	fPIC ?= -fPIC
+endif
+
+# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`):
+INCLUDE ?=
+
+# List of source files:
+SOURCE_FILES ?=
+
+# List of libraries (e.g., `-lopenblas -lpthread`):
+LIBRARIES ?=
+
+# List of library paths (e.g., `-L /foo/bar -L /beep/boop`):
+LIBPATH ?=
+
+# List of C targets:
+c_targets := example.out
+
+
+# RULES #
+
+#/
+# Compiles source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`)
+# @param {string} [SOURCE_FILES] - list of source files
+# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`)
+# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler (e.g., `gcc`)
+# @param {string} CFLAGS - C compiler options
+# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`)
+# @param {string} SOURCE_FILES - list of source files
+# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`)
+# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`)
+#/
+$(c_targets): %.out: %.c
+	$(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
+
+#/
+# Runs compiled examples.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+	$(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+	$(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/example.c
new file mode 100644
index 000000000000..4b314d364054
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/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/rempio2.h"
+#include <stdio.h>
+#include <stdint.h>
+#include <inttypes.h>
+
+int main( void ) {
+	const double x[] = { 0.0, 1.0, 4.0, 128.0 };
+
+	double rem1;
+	double rem2;
+	int32_t n;
+	int i;
+	for ( i = 0; i < 4; i++ ) {
+		n = stdlib_base_rempio2( x[ i ], &rem1, &rem2 );
+		printf( "%lf - %"PRId32"π/2 = %lf + %lf\n", x[ i ], n, rem1, rem2 );
+	}
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/index.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/index.js
new file mode 100644
index 000000000000..47d7f6950973
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/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 linspace = require( '@stdlib/array/base/linspace' );
+var rempio2 = require( './../lib' );
+
+var x = linspace( 0.0, 100.0, 100 );
+var y = [ 0.0, 0.0 ];
+var n;
+var i;
+
+for ( i = 0; i < x.length; i++ ) {
+	n = rempio2( x[ i ], y );
+	console.log( '%d - %dπ/2 = %d + %d', x[ i ], n, y[ 0 ], y[ 1 ] );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/include.gypi b/lib/node_modules/@stdlib/math/base/special/rempio2f/include.gypi
new file mode 100644
index 000000000000..575cb043c0bf
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/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/rempio2f/include/stdlib/math/base/special/rempio2.h b/lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/rempio2.h
new file mode 100644
index 000000000000..ede33ed50dfd
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/rempio2.h
@@ -0,0 +1,40 @@
+/**
+* @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_REMPIO2_H
+#define STDLIB_MATH_BASE_SPECIAL_REMPIO2_H
+
+#include <stdint.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 `x - nπ/2 = r`.
+*/
+int32_t stdlib_base_rempio2( const double x, double *rem1, double *rem2 );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif // !STDLIB_MATH_BASE_SPECIAL_REMPIO2_H
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/index.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/index.js
new file mode 100644
index 000000000000..00c5a6e6c928
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/index.js
@@ -0,0 +1,47 @@
+/**
+* @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 `x - nπ/2 = r`.
+*
+* @module @stdlib/math/base/special/rempio2
+*
+* @example
+* var rempio2 = require( '@stdlib/math/base/special/rempio2' );
+*
+* var y = [ 0.0, 0.0 ];
+* var n = rempio2( 128.0, y );
+* // returns 81
+*
+* var y1 = y[ 0 ];
+* // returns ~0.765
+*
+* var y2 = y[ 1 ];
+* // returns ~3.618e-17
+*/
+
+// MODULES //
+
+var rempio2 = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = rempio2;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2.js
new file mode 100644
index 000000000000..6417f94af16d
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2.js
@@ -0,0 +1,428 @@
+/**
+* @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 following copyright and license were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/9.3.0/lib/msun/src/k_rem_pio2.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+*
+* Developed at SunPro, a Sun Microsystems, Inc. business.
+* Permission to use, copy, modify, and distribute this
+* software is freely granted, provided that this notice
+* is preserved.
+* ```
+*/
+
+/* eslint-disable array-element-newline */
+
+'use strict';
+
+// MODULES //
+
+var floor = require( '@stdlib/math/base/special/floor' );
+var ldexp = require( '@stdlib/math/base/special/ldexp' );
+var zeros = require( '@stdlib/array/base/zeros' );
+
+
+// VARIABLES //
+
+/*
+* Table of constants for `2/π` (`396` hex digits, `476` decimal).
+*
+* Integer array which contains the (`24*i`)-th to (`24*i+23`)-th bit of `2/π` after binary point. The corresponding floating value is
+*
+* ```tex
+* \operatorname{ipio2}[i] \cdot 2^{-24(i+1)}
+* ```
+*
+* This table must have at least `(e0-3)/24 + jk` terms. For quad precision (`e0 <= 16360`, `jk = 6`), this is `686`.
+*/
+var IPIO2 = [
+	0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62,
+	0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A,
+	0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129,
+	0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41,
+	0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8,
+	0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF,
+	0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5,
+	0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08,
+	0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3,
+	0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880,
+	0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B
+];
+
+// Double precision array, obtained by cutting `π/2` into `24` bits chunks...
+var PIO2 = [
+	1.57079625129699707031e+00, // 0x3FF921FB, 0x40000000
+	7.54978941586159635335e-08, // 0x3E74442D, 0x00000000
+	5.39030252995776476554e-15, // 0x3CF84698, 0x80000000
+	3.28200341580791294123e-22, // 0x3B78CC51, 0x60000000
+	1.27065575308067607349e-29, // 0x39F01B83, 0x80000000
+	1.22933308981111328932e-36, // 0x387A2520, 0x40000000
+	2.73370053816464559624e-44, // 0x36E38222, 0x80000000
+	2.16741683877804819444e-51  // 0x3569F31D, 0x00000000
+];
+var TWO24 = 1.67772160000000000000e+07;  // 0x41700000, 0x00000000
+var TWON24 = 5.96046447753906250000e-08; // 0x3E700000, 0x00000000
+
+// Arrays for storing temporary values (note that, in C, this is not thread safe):
+var F = zeros( 20 );
+var Q = zeros( 20 );
+var FQ = zeros( 20 );
+var IQ = zeros( 20 );
+
+
+// FUNCTIONS //
+
+/**
+* Performs the computation for `kernelRempio2()`.
+*
+* @private
+* @param {PositiveNumber} x - input value
+* @param {(Array|TypedArray|Object)} y - output object for storing double precision numbers
+* @param {integer} jz - number of terms of `ipio2[]` used
+* @param {Array<integer>} q - array with integral values, representing the 24-bits chunk of the product of `x` and `2/π`
+* @param {integer} q0 - the corresponding exponent of `q[0]` (the exponent for `q[i]` would be `q0-24*i`)
+* @param {integer} jk - `jk+1` is the initial number of terms of `IPIO2[]` needed in the computation
+* @param {integer} jv - index for pointing to the suitable `ipio2[]` for the computation
+* @param {integer} jx - `nx - 1`
+* @param {Array<number>} f - `IPIO2[]` in floating point
+* @returns {number} last three binary digits of `N`
+*/
+function compute( x, y, jz, q, q0, jk, jv, jx, f ) {
+	var carry;
+	var fw;
+	var ih;
+	var jp;
+	var i;
+	var k;
+	var n;
+	var j;
+	var z;
+
+	// `jp+1` is the number of terms in `PIO2[]` needed:
+	jp = jk;
+
+	// Distill `q[]` into `IQ[]` in reverse order...
+	z = q[ jz ];
+	j = jz;
+	for ( i = 0; j > 0; i++ ) {
+		fw = ( TWON24 * z )|0;
+		IQ[ i ] = ( z - (TWO24*fw) )|0;
+		z = q[ j-1 ] + fw;
+		j -= 1;
+	}
+	// Compute `n`...
+	z = ldexp( z, q0 );
+	z -= 8.0 * floor( z*0.125 ); // Trim off integer >= 8
+	n = z|0;
+	z -= n;
+	ih = 0;
+	if ( q0 > 0 ) {
+		// Need `IQ[jz-1]` to determine `n`...
+		i = ( IQ[ jz-1 ] >> (24-q0) );
+		n += i;
+		IQ[ jz-1 ] -= ( i << (24-q0) );
+		ih = ( IQ[ jz-1 ] >> (23-q0) );
+	}
+	else if ( q0 === 0 ) {
+		ih = ( IQ[ jz-1 ] >> 23 );
+	}
+	else if ( z >= 0.5 ) {
+		ih = 2;
+	}
+	// Case: q > 0.5
+	if ( ih > 0 ) {
+		n += 1;
+		carry = 0;
+
+		// Compute `1-q`:
+		for ( i = 0; i < jz; i++ ) {
+			j = IQ[ i ];
+			if ( carry === 0 ) {
+				if ( j !== 0 ) {
+					carry = 1;
+					IQ[ i ] = 0x1000000 - j;
+				}
+			} else {
+				IQ[ i ] = 0xffffff - j;
+			}
+		}
+		if ( q0 > 0 ) {
+			// Rare case: chance is 1 in 12...
+			switch ( q0 ) { // eslint-disable-line default-case
+			case 1:
+				IQ[ jz-1 ] &= 0x7fffff;
+				break;
+			case 2:
+				IQ[ jz-1 ] &= 0x3fffff;
+				break;
+			}
+		}
+		if ( ih === 2 ) {
+			z = 1.0 - z;
+			if ( carry !== 0 ) {
+				z -= ldexp( 1.0, q0 );
+			}
+		}
+	}
+	// Check if re-computation is needed...
+	if ( z === 0.0 ) {
+		j = 0;
+		for ( i = jz-1; i >= jk; i-- ) {
+			j |= IQ[ i ];
+		}
+		if ( j === 0 ) {
+			// Need re-computation...
+			for ( k = 1; IQ[ jk-k ] === 0; k++ ) {
+				// `k` is the number of terms needed...
+			}
+			for ( i = jz+1; i <= jz+k; i++ ) {
+				// Add `q[jz+1]` to `q[jz+k]`...
+				f[ jx+i ] = IPIO2[ jv+i ];
+				fw = 0.0;
+				for ( j = 0; j <= jx; j++ ) {
+					fw += x[ j ] * f[ jx + (i-j) ];
+				}
+				q[ i ] = fw;
+			}
+			jz += k;
+			return compute( x, y, jz, q, q0, jk, jv, jx, f );
+		}
+		// Chop off zero terms...
+		jz -= 1;
+		q0 -= 24;
+		while ( IQ[ jz ] === 0 ) {
+			jz -= 1;
+			q0 -= 24;
+		}
+	} else {
+		// Break `z` into 24-bit if necessary...
+		z = ldexp( z, -q0 );
+		if ( z >= TWO24 ) {
+			fw = (TWON24*z)|0;
+			IQ[ jz ] = ( z - (TWO24*fw) )|0;
+			jz += 1;
+			q0 += 24;
+			IQ[ jz ] = fw;
+		} else {
+			IQ[ jz ] = z|0;
+		}
+	}
+	// Convert integer "bit" chunk to floating-point value...
+	fw = ldexp( 1.0, q0 );
+	for ( i = jz; i >= 0; i-- ) {
+		q[ i ] = fw * IQ[i];
+		fw *= TWON24;
+	}
+	// Compute `PIO2[0,...,jp]*q[jz,...,0]`...
+	for ( i = jz; i >= 0; i-- ) {
+		fw = 0.0;
+		for ( k = 0; k <= jp && k <= jz-i; k++ ) {
+			fw += PIO2[ k ] * q[ i+k ];
+		}
+		FQ[ jz-i ] = fw;
+	}
+	// Compress `FQ[]` into `y[]`...
+	fw = 0.0;
+	for ( i = jz; i >= 0; i-- ) {
+		fw += FQ[ i ];
+	}
+	if ( ih === 0 ) {
+		y[ 0 ] = fw;
+	} else {
+		y[ 0 ] = -fw;
+	}
+	fw = FQ[ 0 ] - fw;
+	for ( i = 1; i <= jz; i++ ) {
+		fw += FQ[i];
+	}
+	if ( ih === 0 ) {
+		y[ 1 ] = fw;
+	} else {
+		y[ 1 ] = -fw;
+	}
+	return ( n & 7 );
+}
+
+
+// MAIN //
+
+/**
+* Returns the last three binary digits of `N` with `y = x - Nπ/2` so that `|y| < π/2`.
+*
+* ## Method
+*
+* -   The method is to compute the integer (mod 8) and fraction parts of (2/π) * x without doing the full multiplication. In general, we skip the part of the product that are known to be a huge integer (more accurately, = 0 mod 8 ). Thus the number of operations are independent of the exponent of the input.
+*
+* -   (2/π) is represented by an array of 24-bit integers in `ipio2[]`.
+*
+* -   Input parameters:
+*
+*     -   `x[]` The input value (must be positive) is broken into `nx` pieces of 24-bit integers in double precision format. `x[i]` will be the i-th 24 bit of x. The scaled exponent of `x[0]` is given in input parameter `e0` (i.e., `x[0]*2^e0` match x's up to 24 bits).
+*
+*         Example of breaking a double positive `z` into `x[0]+x[1]+x[2]`:
+*
+*         ```tex
+*         e0 = \mathrm{ilogb}(z) - 23
+*         z = \mathrm{scalbn}(z, -e0)
+*         ```
+*
+*         for `i = 0,1,2`
+*
+*         ```tex
+*         x[i] = \lfloor z \rfloor
+*         z = (z - x[i]) \times 2^{24}
+*         ```
+*
+*     -   `y[]` output result in an array of double precision numbers.
+*
+*         The dimension of `y[]` is:
+*         24-bit precision     1
+*         53-bit precision     2
+*         64-bit precision     2
+*         113-bit precision    3
+*
+*         The actual value is the sum of them. Thus, for 113-bit precision, one may have to do something like:
+*
+*         ```tex
+*         \mathrm{long\ double} \: t, w, r_{\text{head}}, r_{\text{tail}}; \\
+*         t &= (\mathrm{long\ double}) y[2] + (\mathrm{long\ double}) y[1]; \\
+*         w &= (\mathrm{long\ double}) y[0]; \\
+*         r_{\text{head}} &= t + w; \\
+*         r_{\text{tail}} &= w - (r_{\text{head}} - t);
+*         ```
+*
+*     -   `e0` The exponent of `x[0]`. Must be <= 16360 or you need to expand the `ipio2` table.
+*
+*     -   `nx` dimension of `x[]`
+*
+*     -   `prec` an integer indicating the precision:
+*         0 24 bits (single)
+*         1 53 bits (double)
+*         2 64 bits (extended)
+*         3 113 bits (quad)
+*
+* -   External function:
+*
+*     -   double `scalbn()`, `floor()`;
+*
+* -   Here is the description of some local variables:
+*
+*     -   `jk` `jk+1` is the initial number of terms of `ipio2[]` needed in the computation. The minimum and recommended value for `jk` is 3,4,4,6 for single, double, extended, and quad. `jk+1` must be 2 larger than you might expect so that our recomputation test works. (Up to 24 bits in the integer part (the 24 bits of it that we compute) and 23 bits in the fraction part may be lost to cancellation before we recompute.)
+*
+*     -   `jz` local integer variable indicating the number of terms of `ipio2[]` used.
+*
+*     -   `jx` `nx - 1`
+*
+*     -   `jv` index for pointing to the suitable `ipio2[]` for the computation. In general, we want
+*
+*         ```tex
+*         \frac{{2^{e0} \cdot x[0] \cdot \mathrm{ipio2}[jv-1] \cdot 2^{-24jv}}}{{8}}
+*         ```
+*
+*         to be an integer. Thus
+*
+*         ```tex
+*         e0 - 3 - 24 \cdot jv \geq 0 \quad \text{or} \quad \frac{{e0 - 3}}{{24}} \geq jv
+*         ```
+*
+*         Hence
+*
+*         ```tex
+*         jv = \max(0, \frac{{e0 - 3}}{{24}})
+*         ```
+*
+*     -   `jp` `jp+1` is the number of terms in `PIo2[]` needed, `jp = jk`.
+*
+*     -   `q[]` double array with integral value, representing the 24-bits chunk of the product of `x` and `2/π`.
+*
+*     -   `q0` the corresponding exponent of `q[0]`. Note that the exponent for `q[i]` would be `q0-24*i`.
+*
+*     -   `PIo2[]` double precision array, obtained by cutting `π/2` into 24 bits chunks.
+*
+*     -   `f[]` `ipso2[]` in floating point
+*
+*     -   `iq[]` integer array by breaking up `q[]` in 24-bits chunk.
+*
+*     -   `fq[]` final product of `x*(2/π)` in `fq[0],..,fq[jk]`
+*
+*     -   `ih` integer. If >0 it indicates `q[]` is >= 0.5, hence it also indicates the _sign_ of the result.
+*
+* -   Constants:
+*
+*     -   The hexadecimal values are the intended ones for the following constants. The decimal values may be used, provided that the compiler will convert from decimal to binary accurately enough to produce the hexadecimal values shown.
+*
+* @private
+* @param {PositiveNumber} x - input value
+* @param {(Array|TypedArray|Object)} y - remainder elements
+* @param {PositiveInteger} e0 - the exponent of `x[0]` (must be <= 16360)
+* @param {PositiveInteger} nx - dimension of `x[]`
+* @returns {number} last three binary digits of `N`
+*/
+function kernelRempio2( x, y, e0, nx ) {
+	var fw;
+	var jk;
+	var jv;
+	var jx;
+	var jz;
+	var q0;
+	var i;
+	var j;
+	var m;
+
+	// Initialize `jk` for double-precision floating-point numbers:
+	jk = 4;
+
+	// Determine `jx`, `jv`, `q0` (note that `q0 < 3`):
+	jx = nx - 1;
+	jv = ( (e0 - 3) / 24 )|0;
+	if ( jv < 0 ) {
+		jv = 0;
+	}
+	q0 = e0 - (24 * (jv + 1));
+
+	// Set up `F[0]` to `F[jx+jk]` where `F[jx+jk] = IPIO2[jv+jk]`:
+	j = jv - jx;
+	m = jx + jk;
+	for ( i = 0; i <= m; i++ ) {
+		if ( j < 0 ) {
+			F[ i ] = 0.0;
+		} else {
+			F[ i ] = IPIO2[ j ];
+		}
+		j += 1;
+	}
+	// Compute `Q[0],Q[1],...,Q[jk]`:
+	for ( i = 0; i <= jk; i++ ) {
+		fw = 0.0;
+		for ( j = 0; j <= jx; j++ ) {
+			fw += x[ j ] * F[ jx + (i-j) ];
+		}
+		Q[ i ] = fw;
+	}
+	jz = jk;
+	return compute( x, y, jz, Q, q0, jk, jv, jx, F );
+}
+
+
+// EXPORTS //
+
+module.exports = kernelRempio2;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js
new file mode 100644
index 000000000000..2550886ba19b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js
@@ -0,0 +1,144 @@
+/**
+* @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 following copyright and license were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/9.3.0/lib/msun/src/e_rem_pio2.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+*
+* Developed at SunPro, a Sun Microsystems, Inc. business.
+* Permission to use, copy, modify, and distribute this
+* software is freely granted, provided that this notice
+* is preserved.
+*
+* Optimized by Bruce D. Evans.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var ABS_MASK = require( '@stdlib/constants/float32/abs-mask' );
+var EXPONENT_MASK = require( '@stdlib/constants/float32/exponent-mask' );
+var roundf = require( '@stdlib/math/base/special/roundf' );
+var fromWordf = require( '@stdlib/number/float32/base/from-word' );
+var toWordf = require( '@stdlib/number/float32/base/to-word' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var rempio2Kernel = require( './kernel_rempio2.js' );
+
+
+// VARIABLES //
+
+// 53 bits of 2/π:
+var INVPIO2 = 6.36619772367581382433e-01; // 0x3FE45F30, 0x6DC9C883
+
+// First 25 bits of π/2:
+var PIO2_1 = 1.57079631090164184570e+00;  // 0x3FF921FB, 0x50000000
+
+// PIO2_1T = π/2 - PIO2_1:
+var PIO2_1T = 1.58932547735281966916e-08; // 0x3E5110b4, 0x611A6263
+
+// 2^28*π/2 = 1647099.3291652855 => 0100000100111001001000011111101101010100010001000010110100011000 => high word => 0x4dc90fdb = 1305022427 => 01001101110010010000111111011011
+var MEDIUM = 0x4dc90fdb|0; // asm type annotation
+
+// Arrays for storing temporary values:
+var TX = [ 0.0 ];
+var TY = [ 0.0 ];
+
+
+// MAIN //
+
+/**
+* Computes `x - nπ/2 = r`.
+*
+* ## Notes
+*
+* -   Returns `n` and stores the remainder `r` as two numbers `y[0]` and `y[1]`, such that `y[0]+y[1] = r`.
+*
+* @param {number} x - input value
+* @param {(Array|TypedArray|Object)} y - remainder elements
+* @returns {integer} factor of `π/2`
+*
+* @example
+* var y = [ 0.0, 0.0 ];
+* var n = rempio2( 128.0, y );
+* // returns 81
+*
+* var y1 = y[ 0 ];
+* // returns ~0.765
+*
+* var y2 = y[ 1 ];
+* // returns ~3.618e-17
+*
+* @example
+* var y = [ 0.0, 0.0 ];
+* var n = rempio2( NaN, y );
+* // returns 0
+*
+* var y1 = y[ 0 ];
+* // returns NaN
+*
+* var y2 = y[ 1 ];
+* // returns NaN
+*/
+function rempio2( x, y ) {
+	var e0;
+	var hx;
+	var ix;
+	var n;
+	var r;
+	var w;
+	var z;
+
+	hx = toWordf( x );
+	ix = (hx & ABS_MASK)|0; // asm type annotation
+
+	// Case: |x| ~< 2^28*π/2 (medium size)
+	if ( ix < MEDIUM ) {
+		x = float64ToFloat32( x );
+		n = roundf( float64ToFloat32( x * INVPIO2 ) );
+		r = x - ( n * PIO2_1 );
+		w = n * PIO2_1T;
+		y[ 0 ] = r - w;
+		return n;
+	}
+	// Case: x is NaN or infinity
+	if ( ix >= EXPONENT_MASK ) {
+		y[ 0 ] = NaN;
+		return 0.0;
+	}
+	// Set z = scalbn(|x|, ilogb(|x|)-23)...
+	e0 = (ix >> 23) - 150; // `e0 = ilogb(|x|) - 23` => unbiased exponent minus 23
+	z = fromWordf( ix - ((e0 << 23)|0) );
+	TX[ 0 ] = z;
+	n = rempio2Kernel( TX, TY, e0, 1 );
+	if ( hx < 0.0 ) {
+		y[ 0 ] = -TY[ 0 ];
+		return -n;
+	}
+	y[ 0 ] = TY[ 0 ];
+	return n;
+}
+
+
+// EXPORTS //
+
+module.exports = rempio2;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/native.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/native.js
new file mode 100644
index 000000000000..ab9ea199ea87
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/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' );
+
+
+// MAIN //
+
+/**
+* Computes `x - nπ/2 = r`.
+*
+* @private
+* @param {number} x - input value
+* @param {Float64Array} y - remainder elements
+* @returns {integer} factor of `π/2`
+*
+* @example
+* var Float64Array = require( '@stdlib/array/float64' );
+*
+* var y = new Float64Array( [ 0.0, 0.0 ] );
+* var n = rempio2( 128.0, y );
+* // returns 81
+*
+* var y1 = y[ 0 ];
+* // returns ~0.765
+*
+* var y2 = y[ 1 ];
+* // returns ~3.618e-17
+*/
+function rempio2( x, y ) {
+	return addon( x, y );
+}
+
+
+// EXPORTS //
+
+module.exports = rempio2;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/rempio2_medium.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/rempio2_medium.js
new file mode 100644
index 000000000000..66c55c8db2cb
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/rempio2_medium.js
@@ -0,0 +1,126 @@
+/**
+* @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 following copyright and license were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/9.3.0/lib/msun/src/k_rem_pio2.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+*
+* Developed at SunPro, a Sun Microsystems, Inc. business.
+* Permission to use, copy, modify, and distribute this
+* software is freely granted, provided that this notice
+* is preserved.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var round = require( '@stdlib/math/base/special/round' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var getHighWord = require( '@stdlib/number/float64/base/get-high-word' );
+
+
+// VARIABLES //
+
+// 53 bits of 2/π:
+var INVPIO2 = 6.36619772367581382433e-01; // 0x3FE45F30, 0x6DC9C883
+
+// First 25 bits of π/2:
+var PIO2_1 = 1.57079631090164184570e+00;  // 0x3FF921FB, 0x50000000
+
+// PIO2_1T = π/2 - PIO2_1:
+var PIO2_1T = 1.58932547735281966916e-08; // 0x3E5110b4, 0x611A6263
+
+// // Another 33 bits of π/2:
+// var PIO2_2 = 6.07710050630396597660e-11;  // 0x3DD0B461, 0x1A600000
+
+// // PIO2_2T = π/2 - ( PIO2_1 + PIO2_2 ):
+// var PIO2_2T = 2.02226624879595063154e-21; // 0x3BA3198A, 0x2E037073
+
+// // Another 33 bits of π/2:
+// var PIO2_3 = 2.02226624871116645580e-21;  // 0x3BA3198A, 0x2E000000
+
+// // PIO2_3T = π/2 - ( PIO2_1 + PIO2_2 + PIO2_3 ):
+// var PIO2_3T = 8.47842766036889956997e-32; // 0x397B839A, 0x252049C1
+
+// // Exponent mask (2047 => 0x7ff):
+// var EXPONENT_MASK = 0x7ff|0; // asm type annotation
+
+
+// MAIN //
+
+/**
+* Computes `x - nπ/2 = r` for medium-sized inputs.
+*
+* @private
+* @param {number} x - input value
+* @param {uint32} ix - high word of `x`
+* @param {(Array|TypedArray|Object)} y - remainder elements
+* @returns {integer} factor of `π/2`
+*/
+function rempio2Medium( x, ix, y ) {
+	var high;
+	var n;
+	var t;
+	var r;
+	var w;
+	var i;
+	var j;
+
+	x = float64ToFloat32( x );
+	n = round( float64ToFloat32( x * INVPIO2 ) );
+	r = x - ( n * PIO2_1 );
+	w = n * PIO2_1T;
+
+	// First rounding (good to 85 bits)...
+	j = (ix >> 20)|0; // asm type annotation
+	y[ 0 ] = r - w;
+	high = getHighWord( y[0] );
+	i = j - ( (high >> 20) & EXPONENT_MASK );
+
+	// Check if a second iteration is needed (good to 118 bits)...
+	if ( i > 16 ) {
+		t = r;
+		w = n * PIO2_2;
+		r = t - w;
+		w = (n * PIO2_2T) - ((t-r) - w);
+		y[ 0 ] = r - w;
+		high = getHighWord( y[0] );
+		i = j - ( (high >> 20) & EXPONENT_MASK );
+
+		// Check if a third iteration is needed (151 bits accumulated)...
+		if ( i > 49 ) {
+			t = r;
+			w = n * PIO2_3;
+			r = t - w;
+			w = (n * PIO2_3T) - ((t-r) - w);
+			y[ 0 ] = r - w;
+		}
+	}
+	y[ 1 ] = (r - y[0]) - w;
+	return n;
+}
+
+
+// EXPORTS //
+
+module.exports = rempio2Medium;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/manifest.json b/lib/node_modules/@stdlib/math/base/special/rempio2f/manifest.json
new file mode 100644
index 000000000000..69ce750a6ce5
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/manifest.json
@@ -0,0 +1,100 @@
+{
+  "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/napi/argv",
+        "@stdlib/napi/argv-double",
+        "@stdlib/napi/argv-float64array",
+        "@stdlib/napi/create-double",
+        "@stdlib/napi/export",
+        "@stdlib/math/base/special/round",
+        "@stdlib/math/base/special/floor",
+        "@stdlib/math/base/special/ldexp",
+        "@stdlib/number/float64/base/get-high-word",
+        "@stdlib/number/float64/base/get-low-word",
+        "@stdlib/number/float64/base/from-words",
+        "@stdlib/constants/float64/high-word-abs-mask",
+        "@stdlib/constants/float64/high-word-exponent-mask",
+        "@stdlib/constants/float64/high-word-significand-mask"
+      ]
+    },
+    {
+      "task": "benchmark",
+      "src": [
+        "./src/main.c"
+      ],
+      "include": [
+        "./include"
+      ],
+      "libraries": [],
+      "libpath": [],
+      "dependencies": [
+        "@stdlib/math/base/special/round",
+        "@stdlib/math/base/special/floor",
+        "@stdlib/math/base/special/ldexp",
+        "@stdlib/number/float64/base/get-high-word",
+        "@stdlib/number/float64/base/get-low-word",
+        "@stdlib/number/float64/base/from-words",
+        "@stdlib/constants/float64/high-word-abs-mask",
+        "@stdlib/constants/float64/high-word-exponent-mask",
+        "@stdlib/constants/float64/high-word-significand-mask"
+      ]
+    },
+    {
+      "task": "examples",
+      "src": [
+        "./src/main.c"
+      ],
+      "include": [
+        "./include"
+      ],
+      "libraries": [],
+      "libpath": [],
+      "dependencies": [
+        "@stdlib/math/base/special/round",
+        "@stdlib/math/base/special/floor",
+        "@stdlib/math/base/special/ldexp",
+        "@stdlib/number/float64/base/get-high-word",
+        "@stdlib/number/float64/base/get-low-word",
+        "@stdlib/number/float64/base/from-words",
+        "@stdlib/constants/float64/high-word-abs-mask",
+        "@stdlib/constants/float64/high-word-exponent-mask",
+        "@stdlib/constants/float64/high-word-significand-mask"
+      ]
+    }
+  ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/package.json b/lib/node_modules/@stdlib/math/base/special/rempio2f/package.json
new file mode 100644
index 000000000000..5e5ac0a6d2d2
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/package.json
@@ -0,0 +1,65 @@
+{
+  "name": "@stdlib/math/base/special/rempio2",
+  "version": "0.0.0",
+  "description": "Compute `x - nπ/2 = r`.",
+  "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",
+    "remainder",
+    "division",
+    "pi",
+    "pio2",
+    "precision"
+  ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/Makefile b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/Makefile
new file mode 100644
index 000000000000..bcf18aa46655
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/Makefile
@@ -0,0 +1,70 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2024 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+	QUIET := @
+else
+	QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+	OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+	OS := WINNT
+endif
+endif
+endif
+endif
+
+
+# RULES #
+
+#/
+# Removes generated files for building an add-on.
+#
+# @example
+# make clean-addon
+#/
+clean-addon:
+	$(QUIET) -rm -f *.o *.node
+
+.PHONY: clean-addon
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean: clean-addon
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/addon.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/addon.c
new file mode 100644
index 000000000000..ca49f1877cf8
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/addon.c
@@ -0,0 +1,42 @@
+/**
+* @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/rempio2.h"
+#include "stdlib/napi/argv.h"
+#include "stdlib/napi/argv_double.h"
+#include "stdlib/napi/argv_float64array.h"
+#include "stdlib/napi/create_double.h"
+#include "stdlib/napi/export.h"
+#include <node_api.h>
+
+/**
+* Receives JavaScript callback invocation data.
+*
+* @param env    environment under which the function is invoked
+* @param info   callback data
+* @return       Node-API value
+*/
+static napi_value addon( napi_env env, napi_callback_info info ) {
+	STDLIB_NAPI_ARGV( env, info, argv, argc, 2 );
+	STDLIB_NAPI_ARGV_DOUBLE( env, x, argv, 0 );
+	STDLIB_NAPI_ARGV_FLOAT64ARRAY( env, y, ylen, argv, 1 );
+	STDLIB_NAPI_CREATE_DOUBLE( env, stdlib_base_rempio2( x, &y[0], &y[1] ), n );
+	return n;
+}
+
+STDLIB_NAPI_MODULE_EXPORT_FCN( addon )
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
new file mode 100644
index 000000000000..0384913710a3
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
@@ -0,0 +1,626 @@
+/**
+* @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 following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/e_rem_pio2.c}. The implementation follows the original, but has been modified according to project conventions.
+*
+* ```text
+* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+*
+* Developed at SunPro, a Sun Microsystems, Inc. business.
+* Permission to use, copy, modify, and distribute this
+* software is freely granted, provided that this notice
+* is preserved.
+* ```
+*/
+
+#include "stdlib/math/base/special/rempio2.h"
+#include "stdlib/math/base/special/round.h"
+#include "stdlib/math/base/special/floor.h"
+#include "stdlib/math/base/special/ldexp.h"
+#include "stdlib/number/float64/base/get_high_word.h"
+#include "stdlib/number/float64/base/get_low_word.h"
+#include "stdlib/number/float64/base/from_words.h"
+#include "stdlib/constants/float64/high_word_abs_mask.h"
+#include "stdlib/constants/float64/high_word_exponent_mask.h"
+#include "stdlib/constants/float64/high_word_significand_mask.h"
+#include <stdint.h>
+
+static const double ZERO =  0.00000000000000000000e+00;       // 0x00000000, 0x00000000
+static const double TWO24 =  1.67772160000000000000e+07;      // 0x41700000, 0x00000000
+static const double TWON24 = 5.96046447753906250000e-08;      // 0x3E700000, 0x00000000
+static const double INVPIO2 =  6.36619772367581382433e-01;    // 0x3FE45F30, 0x6DC9C883
+static const double PIO2_1  =  1.57079632673412561417e+00;    // 0x3FF921FB, 0x54400000
+static const double PIO2_1T =  6.07710050650619224932e-11;    // 0x3DD0B461, 0x1A626331
+static const double PIO2_2  =  6.07710050630396597660e-11;    // 0x3DD0B461, 0x1A600000
+static const double PIO2_2T =  2.02226624879595063154e-21;    // 0x3BA3198A, 0x2E037073
+static const double PIO2_3  =  2.02226624871116645580e-21;    // 0x3BA3198A, 0x2E000000
+static const double PIO2_3T =  8.47842766036889956997e-32;    // 0x397B839A, 0x252049C1
+
+// High word significand for π and π/2: 0x921fb = 598523 => 00000000000010010010000111111011
+static const int32_t PI_HIGH_WORD_SIGNIFICAND = 0x921fb;
+
+// High word for π/4: 0x3fe921fb = 1072243195 => 00111111111010010010000111111011
+static const int32_t PIO4_HIGH_WORD = 0x3fe921fb;
+
+// High word for 3π/4: 0x4002d97c = 1073928572 => 01000000000000101101100101111100
+static const int32_t THREE_PIO4_HIGH_WORD = 0x4002d97c;
+
+// High word for 5π/4: 0x400f6a7a = 1074752122 => 01000000000011110110101001111010
+static const int32_t FIVE_PIO4_HIGH_WORD = 0x400f6a7a;
+
+// High word for 6π/4: 0x4012d97c = 1074977148 => 01000000000100101101100101111100
+static const int32_t THREE_PIO2_HIGH_WORD = 0x4012d97c;
+
+// High word for 7π/4: 0x4015fdbc = 1075183036 => 01000000000101011111110110111100
+static const int32_t SEVEN_PIO4_HIGH_WORD = 0x4015fdbc;
+
+// High word for 8π/4: 0x401921fb = 1075388923 => 01000000000110010010000111111011
+static const int32_t TWO_PI_HIGH_WORD = 0x401921fb;
+
+// High word for 9π/4: 0x401c463b = 1075594811 => 01000000000111000100011000111011
+static const int32_t NINE_PIO4_HIGH_WORD = 0x401c463b;
+
+// 2^20*π/2 = 1647099.3291652855 => 0100000100111001001000011111101101010100010001000010110100011000 => high word => 0x413921fb = 1094263291 => 01000001001110010010000111111011
+static const int32_t MEDIUM = 0x413921fb;
+
+// Exponent mask (2047 => 0x7ff):
+static const int32_t EXPONENT_MASK = 0x7ff;
+
+
+/*
+* Table of constants for `2/π` (`396` hex digits, `476` decimal).
+*
+* Integer array which contains the (`24*i`)-th to (`24*i+23`)-th bit of `2/π` after binary point. The corresponding floating value is
+*
+* ```tex
+* \operatorname{ipio2}[i] \cdot 2^{-24(i+1)}
+* ```
+*
+* This table must have at least `(e0-3)/24 + jk` terms. For quad precision (`e0 <= 16360`, `jk = 6`), this is `686`.
+*/
+static const int32_t IPIO2[] = {
+	0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62,
+	0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A,
+	0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129,
+	0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41,
+	0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8,
+	0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF,
+	0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5,
+	0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08,
+	0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3,
+	0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880,
+	0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B
+};
+
+// Double precision array, obtained by cutting `π/2` into `24` bits chunks...
+static const double PIO2[] = {
+	1.57079625129699707031e+00, // 0x3FF921FB, 0x40000000
+	7.54978941586159635335e-08, // 0x3E74442D, 0x00000000
+	5.39030252995776476554e-15, // 0x3CF84698, 0x80000000
+	3.28200341580791294123e-22, // 0x3B78CC51, 0x60000000
+	1.27065575308067607349e-29, // 0x39F01B83, 0x80000000
+	1.22933308981111328932e-36, // 0x387A2520, 0x40000000
+	2.73370053816464559624e-44, // 0x36E38222, 0x80000000
+	2.16741683877804819444e-51  // 0x3569F31D, 0x00000000
+};
+
+/**
+* Returns the last three binary digits of `N` with `y = x - Nπ/2` so that `|y| < π/2`.
+*
+* ## Method
+*
+* -   The method is to compute the integer (mod 8) and fraction parts of (2/π) * x without doing the full multiplication. In general, we skip the part of the product that are known to be a huge integer (more accurately, = 0 mod 8 ). Thus the number of operations are independent of the exponent of the input.
+*
+* -   (2/π) is represented by an array of 24-bit integers in `ipio2[]`.
+*
+* -   Input parameters:
+*
+*     -   `x[]` The input value (must be positive) is broken into `nx` pieces of 24-bit integers in double precision format. `x[i]` will be the i-th 24 bit of x. The scaled exponent of `x[0]` is given in input parameter `e0` (i.e., `x[0]*2^e0` match x's up to 24 bits).
+*
+*         Example of breaking a double positive `z` into `x[0]+x[1]+x[2]`:
+*
+*         ```tex
+*         e0 = \mathrm{ilogb}(z) - 23
+*         z = \mathrm{scalbn}(z, -e0)
+*         ```
+*
+*         for `i = 0,1,2`
+*
+*         ```tex
+*         x[i] = \lfloor z \rfloor
+*         z = (z - x[i]) \times 2^{24}
+*         ```
+*
+*     -   `y[]` output result in an array of double precision numbers.
+*
+*         The dimension of `y[]` is:
+*         24-bit precision     1
+*         53-bit precision     2
+*         64-bit precision     2
+*         113-bit precision    3
+*
+*         The actual value is the sum of them. Thus, for 113-bit precision, one may have to do something like:
+*
+*         ```tex
+*         \mathrm{long\ double} \: t, w, r_{\text{head}}, r_{\text{tail}}; \\
+*         t &= (\mathrm{long\ double}) y[2] + (\mathrm{long\ double}) y[1]; \\
+*         w &= (\mathrm{long\ double}) y[0]; \\
+*         r_{\text{head}} &= t + w; \\
+*         r_{\text{tail}} &= w - (r_{\text{head}} - t);
+*         ```
+*
+*     -   `e0` The exponent of `x[0]`. Must be <= 16360 or you need to expand the `ipio2` table.
+*
+*     -   `nx` dimension of `x[]`
+*
+*     -   `prec` an integer indicating the precision:
+*         0 24 bits (single)
+*         1 53 bits (double)
+*         2 64 bits (extended)
+*         3 113 bits (quad)
+*
+* -   External function:
+*
+*     -   double `scalbn()`, `floor()`;
+*
+* -   Here is the description of some local variables:
+*
+*     -   `jk` `jk+1` is the initial number of terms of `ipio2[]` needed in the computation. The minimum and recommended value for `jk` is 3,4,4,6 for single, double, extended, and quad. `jk+1` must be 2 larger than you might expect so that our recomputation test works. (Up to 24 bits in the integer part (the 24 bits of it that we compute) and 23 bits in the fraction part may be lost to cancellation before we recompute.)
+*
+*     -   `jz` local integer variable indicating the number of terms of `ipio2[]` used.
+*
+*     -   `jx` `nx - 1`
+*
+*     -   `jv` index for pointing to the suitable `ipio2[]` for the computation. In general, we want
+*
+*         ```tex
+*         \frac{{2^{e0} \cdot x[0] \cdot \mathrm{ipio2}[jv-1] \cdot 2^{-24jv}}}{{8}}
+*         ```
+*
+*         to be an integer. Thus
+*
+*         ```tex
+*         e0 - 3 - 24 \cdot jv \geq 0 \quad \text{or} \quad \frac{{e0 - 3}}{{24}} \geq jv
+*         ```
+*
+*         Hence
+*
+*         ```tex
+*         jv = \max(0, \frac{{e0 - 3}}{{24}})
+*         ```
+*
+*     -   `jp` `jp+1` is the number of terms in `PIo2[]` needed, `jp = jk`.
+*
+*     -   `q[]` double array with integral value, representing the 24-bits chunk of the product of `x` and `2/π`.
+*
+*     -   `q0` the corresponding exponent of `q[0]`. Note that the exponent for `q[i]` would be `q0-24*i`.
+*
+*     -   `PIo2[]` double precision array, obtained by cutting `π/2` into 24 bits chunks.
+*
+*     -   `f[]` `ipso2[]` in floating point
+*
+*     -   `iq[]` integer array by breaking up `q[]` in 24-bits chunk.
+*
+*     -   `fq[]` final product of `x*(2/π)` in `fq[0],..,fq[jk]`
+*
+*     -   `ih` integer. If >0 it indicates `q[]` is >= 0.5, hence it also indicates the _sign_ of the result.
+*
+* -   Constants:
+*
+*     -   The hexadecimal values are the intended ones for the following constants. The decimal values may be used, provided that the compiler will convert from decimal to binary accurately enough to produce the hexadecimal values shown.
+*
+* @param x       input value
+* @param y       output array to store the remainder
+* @param e0      the exponent of `x[0]` (must be <= 16360)
+* @param nx      dimension of `x[]`
+* @return        last 3 binary digits
+*/
+int32_t rempio2Kernel( const double* x, double *y, int32_t e0, int32_t nx ) {
+	double F[ 20 ] = { 0.0 };
+	double Q[ 20 ] = { 0.0 };
+	int32_t IQ[ 20 ];
+	double FQ[ 20 ];
+	int32_t carry;
+	int32_t jz;
+	int32_t jx;
+	int32_t jv;
+	int32_t jp;
+	int32_t jk;
+	int32_t q0;
+	int32_t ih;
+	int32_t n;
+	int32_t i;
+	int32_t j;
+	int32_t k;
+	int32_t m;
+	double fw;
+	double z;
+
+	// Initialize `jk` for double-precision floating-point numbers:
+	jk = 4;
+	jp = jk;
+
+	// Determine `jx`, `jv`, `q0` (note that `q0 < 3`):
+	jx = nx - 1;
+	jv = ( e0 - 3 ) / 24;
+	if ( jv < 0 ) {
+		jv = 0;
+	}
+	q0 = e0 - ( 24 * ( jv + 1 ) );
+
+	// Set up `F[0]` to `F[jx+jk]` where `F[jx+jk] = IPIO2[jv+jk]`:
+	j = jv - jx;
+	m = jx + jk;
+	for ( i = 0; i <= m; i++ ) {
+		if ( j < 0 ) {
+			F[ i ] = ZERO;
+		} else {
+			F[ i ] = ( double )IPIO2[ j ];
+		}
+		j++;
+	}
+
+	// Compute `Q[0],Q[1],...,Q[jk]`:
+	for ( i = 0; i <= jk; i++ ) {
+		fw = 0.0;
+		for ( j = 0; j <= jx; j++ ) {
+			fw += x[ j ] * F[ jx + ( i - j ) ];
+		}
+		Q[ i ] = fw;
+	}
+
+	jz = jk;
+recompute:
+	// Distill `q[]` into `IQ[]` in reverse order...
+	z = Q[ jz ];
+	j = jz;
+	for ( i = 0; j > 0; i++ ) {
+		fw = ( double )( ( int32_t )( TWON24 * z ) );
+		IQ[ i ] = (int32_t)( z - ( TWO24 * fw ) );
+		z = Q[ j - 1 ] + fw;
+		j--;
+	}
+	// Compute `n`...
+	z = stdlib_base_ldexp( z, q0 );
+	z -= 8.0 * stdlib_base_floor( z * 0.125 ); // Trim off integer >= 8
+	n = ( int32_t )z;
+	z -= ( double )n;
+	ih = 0;
+	if ( q0 > 0 ) {
+		// Need `IQ[jz-1]` to determine `n`...
+		i = ( IQ[ jz - 1 ] >> ( 24 - q0 ) );
+		n += i;
+		IQ[ jz - 1 ] -= ( i << ( 24 - q0 ) );
+		ih = ( IQ[ jz - 1 ] >> ( 23 - q0 ) );
+	} else if ( q0 == 0 ) {
+		ih = ( IQ[ jz - 1 ] >> 23 );
+	} else if ( z >= 0.5 ) {
+		ih = 2;
+	}
+
+	// Case: q > 0.5
+	if ( ih > 0 ) {
+		n += 1;
+		carry = 0;
+		// Compute `1-q`:
+		for ( i = 0; i < jz; i++ ) {
+			j = IQ[ i ];
+			if ( carry == 0 ) {
+				if ( j != 0 ) {
+					carry = 1;
+					IQ[ i ] = 0x1000000 - j;
+				}
+			} else {
+				IQ[ i ] = 0xffffff - j;
+			}
+		}
+		if ( q0 > 0 ) {
+			// Rare case: chance is 1 in 12...
+			switch ( q0 ) {
+			case 1:
+				IQ[ jz - 1 ] &= 0x7fffff;
+				break;
+			case 2:
+				IQ[ jz - 1 ] &= 0x3fffff;
+				break;
+			}
+		}
+		if ( ih == 2 ) {
+			z = 1.0 - z;
+			if ( carry != 0 ) {
+				z -= stdlib_base_ldexp( 1.0, q0 );
+			}
+		}
+	}
+
+	// Check if re-computation is needed...
+	if ( z == ZERO ) {
+		j = 0;
+		for ( i = jz - 1; i >= jk; i-- ) {
+			j |= IQ[ i ];
+		}
+		if ( j == 0 ) {
+			// Need re-computation...
+			for ( k = 1; IQ[ jk - k ] == 0; k++ ) {
+				// `k` is the number of terms needed...
+			}
+
+			for ( i = jz + 1; i <= jz + k; i++ ) {
+				// Add `q[jz+1]` to `q[jz+k]`...
+				F[ jx + i ] = ( double )IPIO2[ jv + i ];
+				fw = 0.0;
+				for ( j = 0; j <= jx; j++ ) {
+					fw += x[ j ] * F[ jx + ( i - j ) ];
+				}
+				Q[ i ] = fw;
+			}
+			jz += k;
+			goto recompute;
+		}
+		// Chop off zero terms...
+		jz -= 1;
+		q0 -= 24;
+		while ( IQ[ jz ] == 0 ) {
+			jz--;
+			q0 -= 24;
+		}
+	} else {
+		// Break `z` into 24-bit if necessary...
+		z = stdlib_base_ldexp( z, -q0 );
+		if ( z >= TWO24 ) {
+			fw = ( double )( ( int32_t )( TWON24 * z ) );
+			IQ[ jz ] = ( int32_t )( z - ( TWO24 * fw ) );
+			jz += 1;
+			q0 += 24;
+			IQ[ jz ] = ( int32_t )fw;
+		} else {
+			IQ[ jz ] = ( int32_t )z;
+		}
+	}
+
+	// Convert integer "bit" chunk to floating-point value...
+	fw = stdlib_base_ldexp( 1.0, q0 );
+	for ( i = jz; i >= 0; i-- ) {
+		Q[ i ] = fw * ( double )IQ[ i ];
+		fw *= TWON24;
+	}
+
+	// Compute `PIO2[0,...,jp]*q[jz,...,0]`...
+	for ( i = jz; i >= 0; i-- ) {
+		fw = 0.0;
+		for ( k = 0; k <= jp && k <= jz - i; k++ ) {
+			fw += PIO2[ k ] * Q[ i + k ];
+		}
+		FQ[ jz - i ] = fw;
+	}
+	// Compress `FQ[]` into `y[]`...
+	fw = 0.0;
+	for ( i = jz; i >= 0; i-- ) {
+		fw += FQ[ i ];
+	}
+	if ( ih == 0 ) {
+		y[ 0 ] = fw;
+	} else {
+		y[ 0 ] = -fw;
+	}
+	fw = FQ[ 0 ] - fw;
+	for ( i = 1; i <= jz; i++ ) {
+		fw += FQ[i];
+	}
+	if ( ih == 0 ) {
+		y[ 1 ] = fw;
+	} else {
+		y[ 1 ] = -fw;
+	}
+	return n & 7;
+}
+
+
+/**
+* Computes `x - nπ/2 = r`.
+*
+* ## Notes
+*
+* -   Returns `n` and stores the remainder `r` as two numbers `rem1` and `rem2`, such that `rem1+rem2 = r`.
+*
+* @param x       input value
+* @param rem1    remainder element 1
+* @param rem2    remainder element 2
+* @return        factor of `π/2`
+*
+* @example
+* #include <stdint.h>
+*
+* double rem1;
+* double rem2;
+* int32_t n = stdlib_base_rempio2( 128.0, &rem1, &rem2 );
+*/
+int32_t stdlib_base_rempio2( const double x, double *rem1, double *rem2 ) {
+	double TX[ 3 ];
+	double TY[ 2 ];
+	uint32_t uhigh;
+	uint32_t ulow;
+	uint32_t uhx;
+	int32_t high;
+	int32_t low;
+	int32_t ix;
+	int32_t hx;
+	int32_t e0;
+	int32_t nx;
+	int32_t i;
+	int32_t j;
+	int32_t n;
+	double z;
+	double w;
+	double t;
+	double r;
+
+	// high word of x
+	stdlib_base_float64_get_high_word( x, &uhx );
+	hx = ( int32_t )uhx;
+	ix = hx & STDLIB_CONSTANT_FLOAT64_HIGH_WORD_ABS_MASK;
+
+	// Case: |x| ~<= π/4 (no need for reduction)
+	if ( ix <= PIO4_HIGH_WORD ) {
+		*rem1 = x;
+		*rem2 = 0;
+		return 0;
+	}
+	// Case: |x| ~<= 5π/4
+	if ( ix <= FIVE_PIO4_HIGH_WORD ) {
+		// Case: |x| ~= π/2 or π
+		if ( ( ix & STDLIB_CONSTANT_FLOAT64_HIGH_WORD_SIGNIFICAND_MASK ) == PI_HIGH_WORD_SIGNIFICAND ) {
+			// Cancellation => use medium case
+			goto medium;
+		}
+		// Case: |x| ~<= 3π/4
+		if ( ix <= THREE_PIO4_HIGH_WORD ) {
+			if ( hx > 0 ) {
+				// one round good to 85 bits
+				z = x - PIO2_1;
+				*rem1 = z - PIO2_1T;
+				*rem2 = ( z - *rem1 ) - PIO2_1T;
+				return 1;
+			} else {
+				z = x + PIO2_1;
+				*rem1 = z + PIO2_1T;
+				*rem2 = ( z - *rem1 ) + PIO2_1T;
+				return -1;
+			}
+		} else {
+			if ( hx > 0 ) {
+				z = x - ( 2.0 * PIO2_1 );
+				*rem1 = z - ( 2 * PIO2_1T );
+				*rem2 = ( z - *rem1 ) - ( 2 * PIO2_1T );
+				return 2;
+			} else {
+				z = x + ( 2.0 * PIO2_1 );
+				*rem1 = z + ( 2.0 * PIO2_1T );
+				*rem2 = ( z - *rem1 ) + ( 2.0 * PIO2_1T );
+				return -2;
+			}
+		}
+	}
+	// Case: |x| ~<= 9π/4
+	if ( ix <= NINE_PIO4_HIGH_WORD ) {
+		// Case: |x| ~<= 7π/4
+		if ( ix <= SEVEN_PIO4_HIGH_WORD ) {
+			// Case: |x| ~= 3π/2
+			if ( ix == THREE_PIO2_HIGH_WORD ) {
+				goto medium;
+			}
+			if ( hx > 0 ) {
+				z = x - ( 3 * PIO2_1 );
+				*rem1 = z - ( 3 * PIO2_1T );
+				*rem2 = ( z - *rem1 ) - ( 3 * PIO2_1T );
+				return 3;
+			} else {
+				z = x + ( 3 * PIO2_1 );
+				*rem1 = z + ( 3 * PIO2_1T );
+				*rem2 = ( z - *rem1 ) + ( 3.0 * PIO2_1T );
+				return -3;
+			}
+		} else {
+		// Case: |x| ~= 4π/2
+			if ( ix == TWO_PI_HIGH_WORD ) {
+				goto medium;
+			}
+			if ( hx > 0 ) {
+				z = x - ( 4 * PIO2_1 );
+				*rem1 = z - ( 4 * PIO2_1T );
+				*rem2 = ( z - *rem1 ) - ( 4 * PIO2_1T );
+				return 4;
+			} else {
+				z = x + ( 4 * PIO2_1 );
+				*rem1 = z + ( 4 * PIO2_1T );
+				*rem2 = ( z - *rem1 ) + ( 4 * PIO2_1T );
+				return -4;
+			}
+		}
+	}
+	// Case: |x| ~< 2^20*π/2 (medium size)
+	if ( ix < MEDIUM ) {
+medium:
+		n = stdlib_base_round( x * INVPIO2 );
+		r = x - ( n * PIO2_1 );
+		w = n * PIO2_1T;
+
+		// First rounding (good to 85 bits)...
+		j = ix >> 20;
+		*rem1 = r - w;
+		stdlib_base_float64_get_high_word( *rem1, &uhigh );
+		high = ( int32_t )uhigh;
+		i = j - ( ( high >> 20 ) & EXPONENT_MASK );
+
+		// Check if a second iteration is needed (good to 118 bits)...
+		if ( i > 16 ) {
+			t = r;
+			w = n * PIO2_2;
+			r = t - w;
+			w = ( n * PIO2_2T ) - ( ( t - r ) - w );
+			*rem1 = r - w;
+			stdlib_base_float64_get_high_word( *rem1, &uhigh );
+			high = ( int32_t )uhigh;
+			i = j - ( ( high >> 20 ) & EXPONENT_MASK );
+
+			// Check if a third iteration is needed (151 bits accumulated)...
+			if ( i > 49 ) {
+				// will cover all possible cases
+				t = r;
+				w = n * PIO2_3;
+				r = t - w;
+				w = ( n * PIO2_3T ) - ( ( t - r ) - w );
+				*rem1 = r - w;
+			}
+		}
+		*rem2 = ( r - *rem1 ) - w;
+		return n;
+	}
+	// Case: x is NaN or infinity
+	if( ix >= STDLIB_CONSTANT_FLOAT64_HIGH_WORD_EXPONENT_MASK ) {
+		*rem1 = 0.0 / 0.0; // NaN
+		*rem2 = 0.0 / 0.0; // NaN
+		return 0;
+	}
+	// Set z = scalbn(|x|, ilogb(x)-23)...
+	stdlib_base_float64_get_low_word( x, &ulow );
+	low = ( int32_t )ulow;
+	e0 = ( ix >> 20 ) - 1046; // `e0 = ilogb(z) - 23` => unbiased exponent minus 23
+	stdlib_base_float64_from_words( ix - ( int32_t ) ( e0 << 20 ), low, &z );
+	for ( i = 0; i < 2; i++ ) {
+		TX[ i ] = ( double )( ( int32_t )z );
+		z = ( z - TX[ i ] ) * TWO24;
+	}
+	TX[ 2 ] = z;
+	nx = 3;
+	while ( TX[ nx - 1 ] == ZERO ) {
+		// Skip zero term...
+		nx--;
+	}
+	n = rempio2Kernel( TX, TY, e0, nx);
+	if ( hx < 0 ) {
+		*rem1 = -TY[ 0 ];
+		*rem2 = -TY[ 1 ];
+		return -n;
+	}
+	*rem1 = TY[ 0 ];
+	*rem2 = TY[ 1 ];
+	return n;
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js
new file mode 100644
index 000000000000..432dabcc8c30
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js
@@ -0,0 +1,266 @@
+/**
+* @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 isInteger = require( '@stdlib/assert/is-integer' );
+var isNumber = require( '@stdlib/assert/is-number' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var incrspace = require( '@stdlib/array/base/incrspace' );
+var linspace = require( '@stdlib/array/base/linspace' );
+var randu = require( '@stdlib/random/base/randu' );
+var abs = require( '@stdlib/math/base/special/absf' );
+var pow = require( '@stdlib/math/base/special/pow' );
+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 PIO2 = require( '@stdlib/constants/float32/half-pi' );
+var PIO4 = require( '@stdlib/constants/float32/fourth-pi' );
+var rempio2 = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof rempio2, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function returns `0` and sets the elements of `y` to `NaN` if provided `NaN`', function test( t ) {
+	var y = [ 0.0 ];
+	var n = rempio2( NaN, y );
+	t.strictEqual( n, 0.0, 'returns expected value' );
+	t.strictEqual( isnan( y[0] ), true, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function returns `0` and sets the elements of `y` to `NaN` if provided positive or negative infinity', function test( t ) {
+	var y = [ 0.0 ];
+	var n = rempio2( PINF, y );
+	t.strictEqual( n, 0.0, 'returns expected value' );
+	t.strictEqual( isnan( y[0] ), true, 'returns expected value' );
+
+	y = [ 0.0 ];
+	n = rempio2( NINF, y );
+	t.strictEqual( n, 0.0, 'returns expected value' );
+	t.strictEqual( isnan( y[0] ), true, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (positive)', function test( t ) {
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var z;
+	var n;
+	var i;
+
+	y = [ 0.0 ];
+	for ( i = 0; i < 200; i++ ) {
+		x = float64ToFloat32( randu()*100.0 );
+		n = rempio2( x, y );
+
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[ 0 ] ), true, 'returns expected value' );
+
+		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
+		delta = abs( z - x );
+		tol = EPS * abs( x );
+		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
+	}
+	t.end();
+});
+
+tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (tiny positive)', function test( t ) {
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var z;
+	var n;
+	var i;
+
+	y = [ 0.0 ];
+	for ( i = 0; i < 200; i++ ) {
+		x = float64ToFloat32( randu()*1.0e-100 );
+		n = rempio2( x, y );
+
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+
+		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
+		delta = abs( z - x );
+		tol = EPS * abs( x );
+		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
+	}
+	t.end();
+});
+
+tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (negative)', function test( t ) {
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var z;
+	var n;
+	var i;
+
+	y = [ 0.0 ];
+	for ( i = 0; i < 200; i++ ) {
+		x = float64ToFloat32( -100.0 * randu() );
+		n = rempio2( x, y );
+
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+
+		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
+		delta = abs( z - x );
+		tol = EPS * abs( x );
+		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
+	}
+	t.end();
+});
+
+tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (tiny negative)', function test( t ) {
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var z;
+	var n;
+	var i;
+
+	y = [ 0.0 ];
+	for ( i = 0; i < 200; i++ ) {
+		x = float64ToFloat32( -1.0e-100 * randu() );
+		n = rempio2( x, y );
+
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+
+		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
+		delta = abs( z - x );
+		tol = EPS * abs( x );
+		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
+	}
+	t.end();
+});
+
+tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (multiples of π/4)', function test( t ) {
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var z;
+	var n;
+	var i;
+
+	x = incrspace( -10.0*PIO4, 10.0*PIO4, PIO4 );
+	y = [ 0.0 ];
+	for ( i = 0; i < x.length; i++ ) {
+		x[i] = float64ToFloat32( x[i] );
+		n = rempio2( x[i], y );
+
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+
+		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
+		delta = abs( z - x[i] );
+		tol = EPS * abs( x[i] );
+		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
+	}
+	t.end();
+});
+
+tape( 'for large positive input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', function test( t ) {
+	var x;
+	var y;
+	var n;
+	var i;
+
+	x = linspace( pow( 2.0, 28 )*PIO2, pow( 2.0, 60 )*PIO2, 4000 );
+	y = [ 0.0 ];
+	for ( i = 0; i < x.length; i++ ) {
+		x[i] = float64ToFloat32( x[i] );
+		n = rempio2( x[i], y );
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+		t.strictEqual( n < 8, true, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'for large negative input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', function test( t ) {
+	var x;
+	var y;
+	var n;
+	var i;
+
+	x = linspace( -pow( 2.0, 28 )*PIO2, -pow( 2.0, 60 )*PIO2, 4000 );
+	y = [ 0.0 ];
+	for ( i = 0; i < x.length; i++ ) {
+		x[i] = float64ToFloat32( x[i] );
+		n = rempio2( x[i], y );
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+		t.strictEqual( n < 8, true, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'for huge positive input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', function test( t ) {
+	var x;
+	var y;
+	var n;
+	var i;
+
+	x = linspace( pow( 2.0, 60 )*PIO2, pow( 2.0, 1020 )*PIO2, 6000 );
+	y = [ 0.0 ];
+	for ( i = 0; i < x.length; i++ ) {
+		x[i] = float64ToFloat32( x[i] );
+		n = rempio2( x[i], y );
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+		t.strictEqual( n < 8, true, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'for huge negative input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', function test( t ) {
+	var x;
+	var y;
+	var n;
+	var i;
+
+	x = linspace( -pow( 2.0, 60 )*PIO2, -pow( 2.0, 1020 )*PIO2, 6000 );
+	y = [ 0.0 ];
+	for ( i = 0; i < x.length; i++ ) {
+		x[i] = float64ToFloat32( x[i] );
+		n = rempio2( x[i], y );
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+		t.strictEqual( n < 8, true, 'returns expected value' );
+	}
+	t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js
new file mode 100644
index 000000000000..aebecf791c36
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js
@@ -0,0 +1,282 @@
+/**
+* @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 isInteger = require( '@stdlib/assert/is-integer' );
+var isNumber = require( '@stdlib/assert/is-number' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var incrspace = require( '@stdlib/array/base/incrspace' );
+var linspace = require( '@stdlib/array/base/linspace' );
+var randu = require( '@stdlib/random/base/randu' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var PINF = require( '@stdlib/constants/float64/pinf' );
+var NINF = require( '@stdlib/constants/float64/ninf' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var PIO2 = require( '@stdlib/constants/float64/half-pi' );
+var PIO4 = require( '@stdlib/constants/float64/fourth-pi' );
+var Float64Array = require( '@stdlib/array/float64' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+
+// VARIABLES //
+
+var rempio2 = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+	'skip': ( rempio2 instanceof Error )
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof rempio2, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function returns `0` and sets the elements of `y` to `NaN` if provided `NaN`', opts, function test( t ) {
+	var y = new Float64Array( [ 0.0, 0.0 ] );
+	var n = rempio2( NaN, y );
+	t.strictEqual( n, 0.0, 'returns expected value' );
+	t.strictEqual( isnan( y[0] ), true, 'returns expected value' );
+	t.strictEqual( isnan( y[1] ), true, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function returns `0` and sets the elements of `y` to `NaN` if provided positive or negative infinity', opts, function test( t ) {
+	var y = new Float64Array( [ 0.0, 0.0 ] );
+	var n = rempio2( PINF, y );
+	t.strictEqual( n, 0.0, 'returns expected value' );
+	t.strictEqual( isnan( y[0] ), true, 'returns expected value' );
+	t.strictEqual( isnan( y[1] ), true, 'returns expected value' );
+
+	y = new Float64Array( [ 0.0, 0.0 ] );
+	n = rempio2( NINF, y );
+	t.strictEqual( n, 0.0, 'returns expected value' );
+	t.strictEqual( isnan( y[0] ), true, 'returns expected value' );
+	t.strictEqual( isnan( y[1] ), true, 'returns expected value' );
+	t.end();
+});
+
+tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (positive)', opts, function test( t ) {
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var z;
+	var n;
+	var i;
+
+	y = new Float64Array( [ 0.0, 0.0 ] );
+	for ( i = 0; i < 200; i++ ) {
+		x = randu()*100.0;
+		n = rempio2( x, y );
+
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
+
+		z = ( PIO2*n ) + ( y[0]+y[1] );
+		delta = abs( z - x );
+		tol = EPS * abs( x );
+		t.strictEqual( delta <= tol, true, 'can recover input value' );
+	}
+	t.end();
+});
+
+tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (tiny positive)', opts, function test( t ) {
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var z;
+	var n;
+	var i;
+
+	y = new Float64Array( [ 0.0, 0.0 ] );
+	for ( i = 0; i < 200; i++ ) {
+		x = randu()*1.0e-100;
+		n = rempio2( x, y );
+
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
+
+		z = ( PIO2*n ) + ( y[0]+y[1] );
+		delta = abs( z - x );
+		tol = EPS * abs( x );
+		t.strictEqual( delta <= tol, true, 'can recover input value' );
+	}
+	t.end();
+});
+
+tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (negative)', opts, function test( t ) {
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var z;
+	var n;
+	var i;
+
+	y = new Float64Array( [ 0.0, 0.0 ] );
+	for ( i = 0; i < 200; i++ ) {
+		x = -100.0 * randu();
+		n = rempio2( x, y );
+
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
+
+		z = ( PIO2*n ) + ( y[0]+y[1] );
+		delta = abs( z - x );
+		tol = EPS * abs( x );
+		t.strictEqual( delta <= tol, true, 'can recover input value' );
+	}
+	t.end();
+});
+
+tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (tiny negative)', opts, function test( t ) {
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var z;
+	var n;
+	var i;
+
+	y = new Float64Array( [ 0.0, 0.0 ] );
+	for ( i = 0; i < 200; i++ ) {
+		x = -1.0e-100 * randu();
+		n = rempio2( x, y );
+
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
+
+		z = ( PIO2*n ) + ( y[0]+y[1] );
+		delta = abs( z - x );
+		tol = EPS * abs( x );
+		t.strictEqual( delta <= tol, true, 'can recover input value' );
+	}
+	t.end();
+});
+
+tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (multiples of π/4)', opts, function test( t ) {
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var z;
+	var n;
+	var i;
+
+	x = incrspace( -10.0*PIO4, 10.0*PIO4, PIO4 );
+	y = new Float64Array( [ 0.0, 0.0 ] );
+	for ( i = 0; i < x.length; i++ ) {
+		n = rempio2( x[i], y );
+
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
+
+		z = ( PIO2*n ) + ( y[0]+y[1] );
+		delta = abs( z - x[i] );
+		tol = EPS * abs( x[i] );
+		t.strictEqual( delta <= tol, true, 'can recover input value' );
+	}
+	t.end();
+});
+
+tape( 'for large positive input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', opts, function test( t ) {
+	var x;
+	var y;
+	var n;
+	var i;
+
+	x = linspace( pow( 2.0, 20 )*PIO2, pow( 2.0, 60 )*PIO2, 4000 );
+	y = new Float64Array( [ 0.0, 0.0 ] );
+	for ( i = 0; i < x.length; i++ ) {
+		n = rempio2( x[i], y );
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
+		t.strictEqual( n < 8, true, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'for large negative input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', opts, function test( t ) {
+	var x;
+	var y;
+	var n;
+	var i;
+
+	x = linspace( -pow( 2.0, 20 )*PIO2, -pow( 2.0, 60 )*PIO2, 4000 );
+	y = new Float64Array( [ 0.0, 0.0 ] );
+	for ( i = 0; i < x.length; i++ ) {
+		n = rempio2( x[i], y );
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
+		t.strictEqual( n < 8, true, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'for huge positive input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', opts, function test( t ) {
+	var x;
+	var y;
+	var n;
+	var i;
+
+	x = linspace( pow( 2.0, 60 )*PIO2, pow( 2.0, 1020 )*PIO2, 6000 );
+	y = new Float64Array( [ 0.0, 0.0 ] );
+	for ( i = 0; i < x.length; i++ ) {
+		n = rempio2( x[i], y );
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
+		t.strictEqual( n < 8, true, 'returns expected value' );
+	}
+	t.end();
+});
+
+tape( 'for huge negative input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', opts, function test( t ) {
+	var x;
+	var y;
+	var n;
+	var i;
+
+	x = linspace( -pow( 2.0, 60 )*PIO2, -pow( 2.0, 1020 )*PIO2, 6000 );
+	y = new Float64Array( [ 0.0, 0.0 ] );
+	for ( i = 0; i < x.length; i++ ) {
+		n = rempio2( x[i], y );
+		t.strictEqual( isInteger( n ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
+		t.strictEqual( n < 8, true, 'returns expected value' );
+	}
+	t.end();
+});

From 66e81289f5c0200d6c9fd031da261f1ff1328df3 Mon Sep 17 00:00:00 2001
From: Karan Anand <anandkarancompsci@gmail.com>
Date: Mon, 17 Mar 2025 23:17:57 -0700
Subject: [PATCH 2/6] feat: add implementation

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown
    status: passed
  - task: lint_package_json
    status: passed
  - task: lint_repl_help
    status: passed
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: passed
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: passed
  - task: lint_c_examples
    status: passed
  - task: lint_c_benchmarks
    status: passed
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---
---
 .../math/base/special/rempio2f/README.md      |  76 +++---
 .../special/rempio2f/benchmark/benchmark.js   |  18 +-
 .../rempio2f/benchmark/benchmark.native.js    |  21 +-
 .../rempio2f/benchmark/c/native/benchmark.c   |  21 +-
 .../math/base/special/rempio2f/docs/repl.txt  |  13 +-
 .../special/rempio2f/docs/types/index.d.ts    |  26 +-
 .../base/special/rempio2f/docs/types/test.ts  |  32 +--
 .../special/rempio2f/examples/c/example.c     |  11 +-
 .../base/special/rempio2f/examples/index.js   |   8 +-
 .../base/special/{rempio2.h => rempio2f.h}    |  10 +-
 .../math/base/special/rempio2f/lib/index.js   |  17 +-
 .../{kernel_rempio2.js => kernel_rempio2f.js} |  19 +-
 .../math/base/special/rempio2f/lib/main.js    |  36 ++-
 .../math/base/special/rempio2f/lib/native.js  |  15 +-
 .../special/rempio2f/lib/rempio2_medium.js    | 126 ---------
 .../math/base/special/rempio2f/manifest.json  |  38 ++-
 .../math/base/special/rempio2f/package.json   |   3 +-
 .../math/base/special/rempio2f/src/addon.c    |   8 +-
 .../math/base/special/rempio2f/src/main.c     | 248 +++---------------
 .../math/base/special/rempio2f/test/test.js   |  80 +++---
 .../base/special/rempio2f/test/test.native.js | 168 ++++++------
 21 files changed, 318 insertions(+), 676 deletions(-)
 rename lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/{rempio2.h => rempio2f.h} (78%)
 rename lib/node_modules/@stdlib/math/base/special/rempio2f/lib/{kernel_rempio2.js => kernel_rempio2f.js} (97%)
 delete mode 100644 lib/node_modules/@stdlib/math/base/special/rempio2f/lib/rempio2_medium.js

diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/README.md b/lib/node_modules/@stdlib/math/base/special/rempio2f/README.md
index 978033ba6f65..aa8b330348d8 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/README.md
@@ -18,56 +18,47 @@ limitations under the License.
 
 -->
 
-# rempio2
+# rempio2f
 
-> Compute `x - nπ/2 = r`.
+> Compute `x - nπ/2 = r` (single-precision).
 
 <section class="usage">
 
 ## Usage
 
 ```javascript
-var rempio2 = require( '@stdlib/math/base/special/rempio2' );
+var rempio2f = require( '@stdlib/math/base/special/rempio2f' );
 ```
 
-#### rempio2( x, y )
+#### rempio2f( x, y )
 
 Computes `x - nπ/2 = r`.
 
 ```javascript
-var y = [ 0.0, 0.0 ];
-var n = rempio2( 128.0, y );
+var y = [ 0.0 ];
+var n = rempio2f( 128.0, y );
 // returns 81
 
 var y1 = y[ 0 ];
 // returns ~0.765
-
-var y2 = y[ 1 ];
-// returns ~3.618e-17
 ```
 
-When `x` is `NaN` or infinite, the function returns `0` and sets the elements of `y` to `NaN`.
+When `x` is `NaN` or infinite, the function returns `0` and sets `y[0]` to `NaN`.
 
 ```javascript
-var y = [ 0.0, 0.0 ];
-var n = rempio2( NaN, y );
+var y = [ 0.0 ];
+var n = rempio2f( NaN, y );
 // returns 0
 
 var y1 = y[ 0 ];
 // returns NaN
 
-var y2 = y[ 1 ];
-// returns NaN
-
-y = [ 0.0, 0.0 ];
-n = rempio2( Infinity, y );
+y = [ 0.0 ];
+n = rempio2f( Infinity, y );
 // returns 0
 
 y1 = y[ 0 ];
 // returns NaN
-
-y2 = y[ 1 ];
-// returns NaN
 ```
 
 </section>
@@ -80,8 +71,8 @@ y2 = y[ 1 ];
 
 ## Notes
 
--   The function returns `n` and stores the remainder `r` as two numbers in `y`, such that `y[0]+y[1] = r`.
--   For input values larger than `2^20*π/2` in magnitude, the function **only** returns the last three binary digits of `n` and not the full result.
+-   The function returns `n` and stores the remainder `r` as `y[0]`.
+-   For input values larger than `2^28*π/2` in magnitude, the function **only** returns the last three binary digits of `n` and not the full result.
 
 </section>
 
@@ -95,16 +86,16 @@ y2 = y[ 1 ];
 
 ```javascript
 var linspace = require( '@stdlib/array/base/linspace' );
-var rempio2 = require( '@stdlib/math/base/special/rempio2' );
+var rempio2f = require( '@stdlib/math/base/special/rempio2f' );
 
 var x = linspace( 0.0, 100.0, 100 );
-var y = [ 0.0, 0.0 ];
+var y = [ 0.0 ];
 var n;
 var i;
 
 for ( i = 0; i < x.length; i++ ) {
-    n = rempio2( x[ i ], y );
-    console.log( '%d - %dπ/2 = %d + %d', x[ i ], n, y[ 0 ], y[ 1 ] );
+    n = rempio2f( x[ i ], y );
+    console.log( '%d - %dπ/2 = %d', x[ i ], n, y[ 0 ] );
 }
 ```
 
@@ -135,30 +126,28 @@ for ( i = 0; i < x.length; i++ ) {
 ### Usage
 
 ```c
-#include "stdlib/math/base/special/rempio2.h"
+#include "stdlib/math/base/special/rempio2f.h"
 ```
 
-#### stdlib_base_rempio2( x, &rem1, &rem2 )
+#### stdlib_base_rempio2f( x, &rem )
 
-Computes `x - nπ/2 = r`.
+Computes `x - nπ/2 = r` (single-precision).
 
 ```c
 #include <stdint.h>
 
-double rem1;
-double rem2;
+double rem;
 
-int32_t n = stdlib_base_rempio2( 4.0, &rem1, &rem2 );
+int32_t n = stdlib_base_rempio2f( 4.0f, &rem );
 ```
 
 The function accepts the following arguments:
 
--   **x**: `[in] double` input value.
--   **rem1**: `[out] double*` destination for first remainder number.
--   **rem2**: `[out] double*` destination for second remainder number.
+-   **x**: `[in] float` input value.
+-   **rem**: `[out] double*` destination for the remainder.
 
 ```c
-int32_t stdlib_base_rempio2( const double x, double *rem1, double *rem2 );
+int32_t stdlib_base_rempio2f( const float x, double *rem );
 ```
 
 </section>
@@ -169,10 +158,6 @@ int32_t stdlib_base_rempio2( const double x, double *rem1, double *rem2 );
 
 <section class="notes">
 
-### Notes
-
--   The function returns `n` and stores the remainder `r` as two numbers in `rem1` and `rem2`, respectively, such that `rem1+rem2 = r`.
-
 </section>
 
 <!-- /.notes -->
@@ -184,21 +169,20 @@ int32_t stdlib_base_rempio2( const double x, double *rem1, double *rem2 );
 ### Examples
 
 ```c
-#include "stdlib/math/base/special/rempio2.h"
+#include "stdlib/math/base/special/rempio2f.h"
 #include <stdio.h>
 #include <stdint.h>
 #include <inttypes.h>
 
 int main( void ) {
-    const double x[] = { 0.0, 1.0, 4.0, 128.0 };
+    const double x[] = { 0.0f, 1.0f, 4.0f, 128.0f };
 
-    double rem1;
-    double rem2;
+    double rem;
     int32_t n;
     int i;
     for ( i = 0; i < 4; i++ ) {
-        n = stdlib_base_rempio2( x[ i ], &rem1, &rem2 );
-        printf( "%lf - %"PRId32"π/2 = %lf + %lf\n", x[ i ], n, rem1, rem2 );
+        n = stdlib_base_rempio2f( x[ i ], &rem );
+        printf( "%lf - %"PRId32"π/2 = %lf\n", x[ i ], n, rem );
     }
 }
 ```
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.js
index c654c7d2a26c..b6a6f212d261 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.js
@@ -21,10 +21,10 @@
 // MODULES //
 
 var bench = require( '@stdlib/bench' );
-var randu = require( '@stdlib/random/array/uniform' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
 var pkg = require( './../package.json' ).name;
-var rempio2 = require( './../lib' );
+var rempio2f = require( './../lib' );
 
 
 // MAIN //
@@ -35,18 +35,20 @@ bench( pkg, function benchmark( b ) {
 	var n;
 	var i;
 
-	y = [ 0.0, 0.0 ];
-	x = randu( 100, -100.0, 100.0 );
+	y = [ 0.0 ];
+	x = uniform( 100, -100.0, 100.0, {
+		'dtype': 'float32'
+	});
 
 	b.tic();
 	for ( i = 0; i < b.iterations; i++ ) {
-		n = rempio2( x[ i % x.length ], y );
-		if ( isnan( n ) ) {
+		n = rempio2f( x[ i % x.length ], y );
+		if ( isnanf( n ) || isnanf( y[0] ) ) {
 			b.fail( 'should not return NaN' );
 		}
 	}
 	b.toc();
-	if ( isnan( n ) || isnan( y[0] ) || isnan( y[1] ) ) {
+	if ( isnanf( n ) || isnanf( y[0] ) ) {
 		b.fail( 'should not return NaN' );
 	}
 	b.pass( 'benchmark finished' );
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.native.js
index d231943ea28c..6bec8c48eb6c 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.native.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.native.js
@@ -22,17 +22,18 @@
 
 var resolve = require( 'path' ).resolve;
 var bench = require( '@stdlib/bench' );
-var randu = require( '@stdlib/random/array/uniform' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var Float64Array = require( '@stdlib/array/float64' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
 var tryRequire = require( '@stdlib/utils/try-require' );
 var pkg = require( './../package.json' ).name;
 
 
 // VARIABLES //
 
-var rempio2 = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var rempio2f = tryRequire( resolve( __dirname, './../lib/native.js' ) );
 var opts = {
-	'skip': ( rempio2 instanceof Error )
+	'skip': ( rempio2f instanceof Error )
 };
 
 
@@ -44,18 +45,20 @@ bench( pkg+'::native', opts, function benchmark( b ) {
 	var n;
 	var i;
 
-	y = [ 0.0, 0.0 ];
-	x = randu( 100, -100.0, 100.0 );
+	y = new Float64Array( [ 0.0 ] );
+	x = uniform( 100, -100.0, 100.0, {
+		'dtype': 'float32'
+	});
 
 	b.tic();
 	for ( i = 0; i < b.iterations; i++ ) {
-		n = rempio2( x[ i % x.length ], y );
-		if ( isnan( n ) ) {
+		n = rempio2f( x[ i % x.length ], y );
+		if ( isnanf( n ) || isnanf( y[0] ) ) {
 			b.fail( 'should not return NaN' );
 		}
 	}
 	b.toc();
-	if ( isnan( n ) || isnan( y[0] ) || isnan( y[1] ) ) {
+	if ( isnanf( n ) || isnanf( y[0] ) ) {
 		b.fail( 'should not return NaN' );
 	}
 	b.pass( 'benchmark finished' );
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/benchmark.c
index 293062cc950f..b88bea2af24d 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/benchmark.c
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/benchmark.c
@@ -16,14 +16,14 @@
 * limitations under the License.
 */
 
-#include "stdlib/math/base/special/rempio2.h"
+#include "stdlib/math/base/special/rempio2f.h"
 #include <stdlib.h>
 #include <stdio.h>
 #include <math.h>
 #include <time.h>
 #include <sys/time.h>
 
-#define NAME "rempio2"
+#define NAME "rempio2f"
 #define ITERATIONS 1000000
 #define REPEATS 3
 
@@ -79,9 +79,9 @@ static double tic( void ) {
 *
 * @return random number
 */
-static double rand_double( void ) {
+static float rand_float( void ) {
 	int r = rand();
-	return (double)r / ( (double)RAND_MAX + 1.0 );
+	return (float)r / ( (float)RAND_MAX + 1.0f );
 }
 
 /**
@@ -90,28 +90,27 @@ static double rand_double( void ) {
 * @return elapsed time in seconds
 */
 static double benchmark( void ) {
-	double x[ 100 ];
+	float x[ 100 ];
 	double elapsed;
-	double rem1;
-	double rem2;
+	double rem;
 	double y;
 	double t;
 	int i;
 
 	for ( i = 0; i < 100; i++ ) {
-		x[ i ] = ( rand_double() * 200.0 ) - 100.0;
+		x[ i ] = ( rand_float() * 200.0f ) - 100.0f;
 	}
 
 	t = tic();
 	for ( i = 0; i < ITERATIONS; i++ ) {
-		y = stdlib_base_rempio2( x[ i % 100 ], &rem1, &rem2 );
-		if ( y != y ) {
+		y = stdlib_base_rempio2f( x[ i%100 ], &rem );
+		if ( y != y && rem != rem ) {
 			printf( "should not return NaN\n" );
 			break;
 		}
 	}
 	elapsed = tic() - t;
-	if ( y != y ) {
+	if ( y != y && rem != rem ) {
 		printf( "should not return NaN\n" );
 	}
 	return elapsed;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/repl.txt
index 30267fa19272..d538e68333da 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/repl.txt
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/repl.txt
@@ -1,11 +1,10 @@
 
 {{alias}}( x, y )
-    Computes `x - nπ/2 = r`.
+    Computes `x - nπ/2 = r` (single-precision).
 
-    The function returns `n` and stores the remainder `r` as the two numbers
-    `y[0]` and `y[1]`, such that `y[0] + y[1] = r`.
+    The function returns `n` and stores the remainder `r` as `y[0]`.
 
-    For input values larger than `2^20 * π/2` in magnitude, the function only
+    For input values larger than `2^28 * π/2` in magnitude, the function only
     returns the last three binary digits of `n` and not the full result.
 
     Parameters
@@ -14,7 +13,7 @@
         Input value.
 
     y: Array|TypedArray|Object
-        Remainder elements.
+        Remainder element.
 
     Returns
     -------
@@ -23,13 +22,11 @@
 
     Examples
     --------
-    > var y = [ 0.0, 0.0 ];
+    > var y = [ 0.0 ];
     > var n = {{alias}}( 128.0, y )
     81
     > var y1 = y[ 0 ]
     ~0.765
-    > var y2 = y[ 1 ]
-    ~3.618e-17
 
 
     See Also
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/index.d.ts
index b99a2f922ea9..ce985c1a8008 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/index.d.ts
@@ -23,42 +23,36 @@
 import { Collection } from '@stdlib/types/array';
 
 /**
-* Computes `x - nπ/2 = r`.
+* Computes `x - nπ/2 = r` (single-precision).
 *
 * ## Notes
 *
-* -   The function returns `n` and stores the remainder `r` as the two numbers `y[0]` and `y[1]`, such that `y[0] + y[1] = r`.
-* -   For input values larger than `2^20 * π/2` in magnitude, the function only returns the last three binary digits of `n` and not the full result.
+* -   The function returns `n` and stores the remainder `r` as `y[0]`.
+* -   For input values larger than `2^28 * π/2` in magnitude, the function only returns the last three binary digits of `n` and not the full result.
 *
 * @param x - input value
-* @param y - remainder elements
+* @param y - remainder element
 * @returns factor of `π/2`
 *
 * @example
-* var y = [ 0.0, 0.0 ];
-* var n = rempio2( 128.0, y );
+* var y = [ 0.0 ];
+* var n = rempio2f( 128.0, y );
 * // returns 81
 *
 * var y1 = y[ 0 ];
 * // returns ~0.765
 *
-* var y2 = y[ 1 ];
-* // returns ~3.618e-17
-*
 * @example
-* var y = [ 0.0, 0.0 ];
-* var n = rempio2( NaN, y );
+* var y = [ 0.0 ];
+* var n = rempio2f( NaN, y );
 * // returns 0
 *
 * var y1 = y[ 0 ];
 * // returns NaN
-*
-* var y2 = y[ 1 ];
-* // returns NaN
 */
-declare function rempio2( x: number, y: Collection<number> ): number;
+declare function rempio2f( x: number, y: Collection<number> ): number;
 
 
 // EXPORTS //
 
-export = rempio2;
+export = rempio2f;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/test.ts
index 75954335dd45..2760b8a4afbb 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/test.ts
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/test.ts
@@ -19,38 +19,38 @@
 /// <reference types="@stdlib/types"/>
 
 import { Collection } from '@stdlib/types/array';
-import rempio2 = require( './index' );
+import rempio2f = require( './index' );
 
 
 // TESTS //
 
 // The function returns a number...
 {
-	const y: Collection<number> = [ 0.0, 0.0 ];
-	rempio2( 128, y ); // $ExpectType number
+	const y: Collection<number> = [ 0.0 ];
+	rempio2f( 128, y ); // $ExpectType number
 }
 
 // The compiler throws an error if the function is provided a value other than a number as its first argument...
 {
-	const y: Collection<number> = [ 0.0, 0.0 ];
-	rempio2( true, y ); // $ExpectError
-	rempio2( false, y ); // $ExpectError
-	rempio2( '5', y ); // $ExpectError
-	rempio2( [], y ); // $ExpectError
-	rempio2( {}, y ); // $ExpectError
-	rempio2( ( x: number ): number => x, y ); // $ExpectError
+	const y: Collection<number> = [ 0.0 ];
+	rempio2f( true, y ); // $ExpectError
+	rempio2f( false, y ); // $ExpectError
+	rempio2f( '5', y ); // $ExpectError
+	rempio2f( [], y ); // $ExpectError
+	rempio2f( {}, y ); // $ExpectError
+	rempio2f( ( x: number ): number => x, y ); // $ExpectError
 }
 
 // The compiler throws an error if the function is provided a value other than a collection as its second argument...
 {
-	rempio2( 128, true ); // $ExpectError
-	rempio2( 128, false ); // $ExpectError
-	rempio2( 128, 3 ); // $ExpectError
-	rempio2( 128, {} ); // $ExpectError
+	rempio2f( 128, true ); // $ExpectError
+	rempio2f( 128, false ); // $ExpectError
+	rempio2f( 128, 3 ); // $ExpectError
+	rempio2f( 128, {} ); // $ExpectError
 }
 
 // The compiler throws an error if the function is provided insufficient arguments...
 {
-	rempio2(); // $ExpectError
-	rempio2( 3 ); // $ExpectError
+	rempio2f(); // $ExpectError
+	rempio2f( 3 ); // $ExpectError
 }
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/example.c
index 4b314d364054..1e3f0d3d4c1a 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/example.c
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/example.c
@@ -16,20 +16,19 @@
 * limitations under the License.
 */
 
-#include "stdlib/math/base/special/rempio2.h"
+#include "stdlib/math/base/special/rempio2f.h"
 #include <stdio.h>
 #include <stdint.h>
 #include <inttypes.h>
 
 int main( void ) {
-	const double x[] = { 0.0, 1.0, 4.0, 128.0 };
+	const double x[] = { 0.0f, 1.0f, 4.0f, 128.0f };
 
-	double rem1;
-	double rem2;
+	double rem;
 	int32_t n;
 	int i;
 	for ( i = 0; i < 4; i++ ) {
-		n = stdlib_base_rempio2( x[ i ], &rem1, &rem2 );
-		printf( "%lf - %"PRId32"π/2 = %lf + %lf\n", x[ i ], n, rem1, rem2 );
+		n = stdlib_base_rempio2f( x[ i ], &rem );
+		printf( "%lf - %"PRId32"π/2 = %lf\n", x[ i ], n, rem );
 	}
 }
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/index.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/index.js
index 47d7f6950973..5147c46fbdba 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/index.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/index.js
@@ -19,14 +19,14 @@
 'use strict';
 
 var linspace = require( '@stdlib/array/base/linspace' );
-var rempio2 = require( './../lib' );
+var rempio2f = require( './../lib' );
 
 var x = linspace( 0.0, 100.0, 100 );
-var y = [ 0.0, 0.0 ];
+var y = [ 0.0 ];
 var n;
 var i;
 
 for ( i = 0; i < x.length; i++ ) {
-	n = rempio2( x[ i ], y );
-	console.log( '%d - %dπ/2 = %d + %d', x[ i ], n, y[ 0 ], y[ 1 ] );
+	n = rempio2f( x[ i ], y );
+	console.log( '%d - %dπ/2 = %d', x[ i ], n, y[ 0 ] );
 }
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/rempio2.h b/lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/rempio2f.h
similarity index 78%
rename from lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/rempio2.h
rename to lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/rempio2f.h
index ede33ed50dfd..a0b879526a67 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/rempio2.h
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/rempio2f.h
@@ -16,8 +16,8 @@
 * limitations under the License.
 */
 
-#ifndef STDLIB_MATH_BASE_SPECIAL_REMPIO2_H
-#define STDLIB_MATH_BASE_SPECIAL_REMPIO2_H
+#ifndef STDLIB_MATH_BASE_SPECIAL_REMPIO2F_H
+#define STDLIB_MATH_BASE_SPECIAL_REMPIO2F_H
 
 #include <stdint.h>
 
@@ -29,12 +29,12 @@ extern "C" {
 #endif
 
 /**
-* Computes `x - nπ/2 = r`.
+* Computes `x - nπ/2 = r` (single-precision).
 */
-int32_t stdlib_base_rempio2( const double x, double *rem1, double *rem2 );
+int32_t stdlib_base_rempio2f( const float x, double *rem );
 
 #ifdef __cplusplus
 }
 #endif
 
-#endif // !STDLIB_MATH_BASE_SPECIAL_REMPIO2_H
+#endif // !STDLIB_MATH_BASE_SPECIAL_REMPIO2F_H
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/index.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/index.js
index 00c5a6e6c928..1d259dde62d8 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/index.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/index.js
@@ -19,29 +19,26 @@
 'use strict';
 
 /**
-* Compute `x - nπ/2 = r`.
+* Compute `x - nπ/2 = r` (single precision).
 *
-* @module @stdlib/math/base/special/rempio2
+* @module @stdlib/math/base/special/rempio2f
 *
 * @example
-* var rempio2 = require( '@stdlib/math/base/special/rempio2' );
+* var rempio2f = require( '@stdlib/math/base/special/rempio2f' );
 *
-* var y = [ 0.0, 0.0 ];
-* var n = rempio2( 128.0, y );
+* var y = [ 0.0 ];
+* var n = rempio2f( 128.0, y );
 * // returns 81
 *
 * var y1 = y[ 0 ];
 * // returns ~0.765
-*
-* var y2 = y[ 1 ];
-* // returns ~3.618e-17
 */
 
 // MODULES //
 
-var rempio2 = require( './main.js' );
+var rempio2f = require( './main.js' );
 
 
 // EXPORTS //
 
-module.exports = rempio2;
+module.exports = rempio2f;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js
similarity index 97%
rename from lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2.js
rename to lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js
index 6417f94af16d..d75712c15248 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js
@@ -92,7 +92,7 @@ var IQ = zeros( 20 );
 // FUNCTIONS //
 
 /**
-* Performs the computation for `kernelRempio2()`.
+* Performs the computation for `kernelRempio2f()`.
 *
 * @private
 * @param {PositiveNumber} x - input value
@@ -250,15 +250,6 @@ function compute( x, y, jz, q, q0, jk, jv, jx, f ) {
 	} else {
 		y[ 0 ] = -fw;
 	}
-	fw = FQ[ 0 ] - fw;
-	for ( i = 1; i <= jz; i++ ) {
-		fw += FQ[i];
-	}
-	if ( ih === 0 ) {
-		y[ 1 ] = fw;
-	} else {
-		y[ 1 ] = -fw;
-	}
 	return ( n & 7 );
 }
 
@@ -266,7 +257,7 @@ function compute( x, y, jz, q, q0, jk, jv, jx, f ) {
 // MAIN //
 
 /**
-* Returns the last three binary digits of `N` with `y = x - Nπ/2` so that `|y| < π/2`.
+* Returns the last three binary digits of `N` with `y = x - Nπ/2` so that `|y| < π/2` (single precision).
 *
 * ## Method
 *
@@ -372,12 +363,12 @@ function compute( x, y, jz, q, q0, jk, jv, jx, f ) {
 *
 * @private
 * @param {PositiveNumber} x - input value
-* @param {(Array|TypedArray|Object)} y - remainder elements
+* @param {(Array|TypedArray|Object)} y - remainder element
 * @param {PositiveInteger} e0 - the exponent of `x[0]` (must be <= 16360)
 * @param {PositiveInteger} nx - dimension of `x[]`
 * @returns {number} last three binary digits of `N`
 */
-function kernelRempio2( x, y, e0, nx ) {
+function kernelRempio2f( x, y, e0, nx ) {
 	var fw;
 	var jk;
 	var jv;
@@ -425,4 +416,4 @@ function kernelRempio2( x, y, e0, nx ) {
 
 // EXPORTS //
 
-module.exports = kernelRempio2;
+module.exports = kernelRempio2f;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js
index 2550886ba19b..0057c5f5f804 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js
@@ -42,7 +42,7 @@ var roundf = require( '@stdlib/math/base/special/roundf' );
 var fromWordf = require( '@stdlib/number/float32/base/from-word' );
 var toWordf = require( '@stdlib/number/float32/base/to-word' );
 var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
-var rempio2Kernel = require( './kernel_rempio2.js' );
+var rempio2Kernelf = require( './kernel_rempio2f.js' );
 
 
 // VARIABLES //
@@ -56,7 +56,7 @@ var PIO2_1 = 1.57079631090164184570e+00;  // 0x3FF921FB, 0x50000000
 // PIO2_1T = π/2 - PIO2_1:
 var PIO2_1T = 1.58932547735281966916e-08; // 0x3E5110b4, 0x611A6263
 
-// 2^28*π/2 = 1647099.3291652855 => 0100000100111001001000011111101101010100010001000010110100011000 => high word => 0x4dc90fdb = 1305022427 => 01001101110010010000111111011011
+// 2^28*π/2 = 421657428.2663131 => 0100000110111001001000011111101101010100010001000010110100011000 => high word => 0x4dc90fdb = 1102651899 => 01000001101110010010000111111011
 var MEDIUM = 0x4dc90fdb|0; // asm type annotation
 
 // Arrays for storing temporary values:
@@ -67,39 +67,33 @@ var TY = [ 0.0 ];
 // MAIN //
 
 /**
-* Computes `x - nπ/2 = r`.
+* Computes `x - nπ/2 = r` (single precision).
 *
 * ## Notes
 *
-* -   Returns `n` and stores the remainder `r` as two numbers `y[0]` and `y[1]`, such that `y[0]+y[1] = r`.
+* -   Returns `n` and stores the remainder `r` as `y[0]`.
 *
 * @param {number} x - input value
-* @param {(Array|TypedArray|Object)} y - remainder elements
+* @param {(Array|TypedArray|Object)} y - remainder element
 * @returns {integer} factor of `π/2`
 *
 * @example
-* var y = [ 0.0, 0.0 ];
-* var n = rempio2( 128.0, y );
+* var y = [ 0.0 ];
+* var n = rempio2f( 128.0, y );
 * // returns 81
 *
 * var y1 = y[ 0 ];
 * // returns ~0.765
 *
-* var y2 = y[ 1 ];
-* // returns ~3.618e-17
-*
 * @example
-* var y = [ 0.0, 0.0 ];
-* var n = rempio2( NaN, y );
+* var y = [ 0.0 ];
+* var n = rempio2f( NaN, y );
 * // returns 0
 *
 * var y1 = y[ 0 ];
 * // returns NaN
-*
-* var y2 = y[ 1 ];
-* // returns NaN
 */
-function rempio2( x, y ) {
+function rempio2f( x, y ) {
 	var e0;
 	var hx;
 	var ix;
@@ -108,12 +102,12 @@ function rempio2( x, y ) {
 	var w;
 	var z;
 
+	x = float64ToFloat32( x );
 	hx = toWordf( x );
 	ix = (hx & ABS_MASK)|0; // asm type annotation
 
 	// Case: |x| ~< 2^28*π/2 (medium size)
 	if ( ix < MEDIUM ) {
-		x = float64ToFloat32( x );
 		n = roundf( float64ToFloat32( x * INVPIO2 ) );
 		r = x - ( n * PIO2_1 );
 		w = n * PIO2_1T;
@@ -123,14 +117,14 @@ function rempio2( x, y ) {
 	// Case: x is NaN or infinity
 	if ( ix >= EXPONENT_MASK ) {
 		y[ 0 ] = NaN;
-		return 0.0;
+		return 0;
 	}
 	// Set z = scalbn(|x|, ilogb(|x|)-23)...
 	e0 = (ix >> 23) - 150; // `e0 = ilogb(|x|) - 23` => unbiased exponent minus 23
 	z = fromWordf( ix - ((e0 << 23)|0) );
 	TX[ 0 ] = z;
-	n = rempio2Kernel( TX, TY, e0, 1 );
-	if ( hx < 0.0 ) {
+	n = rempio2Kernelf( TX, TY, e0, 1 );
+	if ( hx < 0 ) {
 		y[ 0 ] = -TY[ 0 ];
 		return -n;
 	}
@@ -141,4 +135,4 @@ function rempio2( x, y ) {
 
 // EXPORTS //
 
-module.exports = rempio2;
+module.exports = rempio2f;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/native.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/native.js
index ab9ea199ea87..0e590406aa69 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/native.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/native.js
@@ -26,31 +26,28 @@ var addon = require( './../src/addon.node' );
 // MAIN //
 
 /**
-* Computes `x - nπ/2 = r`.
+* Computes `x - nπ/2 = r` (single precision).
 *
 * @private
 * @param {number} x - input value
-* @param {Float64Array} y - remainder elements
+* @param {Float64Array} y - remainder element
 * @returns {integer} factor of `π/2`
 *
 * @example
 * var Float64Array = require( '@stdlib/array/float64' );
 *
-* var y = new Float64Array( [ 0.0, 0.0 ] );
-* var n = rempio2( 128.0, y );
+* var y = new Float64Array( [ 0.0 ] );
+* var n = rempio2f( 128.0, y );
 * // returns 81
 *
 * var y1 = y[ 0 ];
 * // returns ~0.765
-*
-* var y2 = y[ 1 ];
-* // returns ~3.618e-17
 */
-function rempio2( x, y ) {
+function rempio2f( x, y ) {
 	return addon( x, y );
 }
 
 
 // EXPORTS //
 
-module.exports = rempio2;
+module.exports = rempio2f;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/rempio2_medium.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/rempio2_medium.js
deleted file mode 100644
index 66c55c8db2cb..000000000000
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/rempio2_medium.js
+++ /dev/null
@@ -1,126 +0,0 @@
-/**
-* @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 following copyright and license were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/9.3.0/lib/msun/src/k_rem_pio2.c}. The implementation follows the original, but has been modified for JavaScript.
-*
-* ```text
-* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
-*
-* Developed at SunPro, a Sun Microsystems, Inc. business.
-* Permission to use, copy, modify, and distribute this
-* software is freely granted, provided that this notice
-* is preserved.
-* ```
-*/
-
-'use strict';
-
-// MODULES //
-
-var round = require( '@stdlib/math/base/special/round' );
-var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
-var getHighWord = require( '@stdlib/number/float64/base/get-high-word' );
-
-
-// VARIABLES //
-
-// 53 bits of 2/π:
-var INVPIO2 = 6.36619772367581382433e-01; // 0x3FE45F30, 0x6DC9C883
-
-// First 25 bits of π/2:
-var PIO2_1 = 1.57079631090164184570e+00;  // 0x3FF921FB, 0x50000000
-
-// PIO2_1T = π/2 - PIO2_1:
-var PIO2_1T = 1.58932547735281966916e-08; // 0x3E5110b4, 0x611A6263
-
-// // Another 33 bits of π/2:
-// var PIO2_2 = 6.07710050630396597660e-11;  // 0x3DD0B461, 0x1A600000
-
-// // PIO2_2T = π/2 - ( PIO2_1 + PIO2_2 ):
-// var PIO2_2T = 2.02226624879595063154e-21; // 0x3BA3198A, 0x2E037073
-
-// // Another 33 bits of π/2:
-// var PIO2_3 = 2.02226624871116645580e-21;  // 0x3BA3198A, 0x2E000000
-
-// // PIO2_3T = π/2 - ( PIO2_1 + PIO2_2 + PIO2_3 ):
-// var PIO2_3T = 8.47842766036889956997e-32; // 0x397B839A, 0x252049C1
-
-// // Exponent mask (2047 => 0x7ff):
-// var EXPONENT_MASK = 0x7ff|0; // asm type annotation
-
-
-// MAIN //
-
-/**
-* Computes `x - nπ/2 = r` for medium-sized inputs.
-*
-* @private
-* @param {number} x - input value
-* @param {uint32} ix - high word of `x`
-* @param {(Array|TypedArray|Object)} y - remainder elements
-* @returns {integer} factor of `π/2`
-*/
-function rempio2Medium( x, ix, y ) {
-	var high;
-	var n;
-	var t;
-	var r;
-	var w;
-	var i;
-	var j;
-
-	x = float64ToFloat32( x );
-	n = round( float64ToFloat32( x * INVPIO2 ) );
-	r = x - ( n * PIO2_1 );
-	w = n * PIO2_1T;
-
-	// First rounding (good to 85 bits)...
-	j = (ix >> 20)|0; // asm type annotation
-	y[ 0 ] = r - w;
-	high = getHighWord( y[0] );
-	i = j - ( (high >> 20) & EXPONENT_MASK );
-
-	// Check if a second iteration is needed (good to 118 bits)...
-	if ( i > 16 ) {
-		t = r;
-		w = n * PIO2_2;
-		r = t - w;
-		w = (n * PIO2_2T) - ((t-r) - w);
-		y[ 0 ] = r - w;
-		high = getHighWord( y[0] );
-		i = j - ( (high >> 20) & EXPONENT_MASK );
-
-		// Check if a third iteration is needed (151 bits accumulated)...
-		if ( i > 49 ) {
-			t = r;
-			w = n * PIO2_3;
-			r = t - w;
-			w = (n * PIO2_3T) - ((t-r) - w);
-			y[ 0 ] = r - w;
-		}
-	}
-	y[ 1 ] = (r - y[0]) - w;
-	return n;
-}
-
-
-// EXPORTS //
-
-module.exports = rempio2Medium;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/manifest.json b/lib/node_modules/@stdlib/math/base/special/rempio2f/manifest.json
index 69ce750a6ce5..c9316fb43303 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/manifest.json
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/manifest.json
@@ -37,19 +37,17 @@
       "libpath": [],
       "dependencies": [
         "@stdlib/napi/argv",
-        "@stdlib/napi/argv-double",
+        "@stdlib/napi/argv-float",
         "@stdlib/napi/argv-float64array",
         "@stdlib/napi/create-double",
         "@stdlib/napi/export",
-        "@stdlib/math/base/special/round",
+        "@stdlib/math/base/special/roundf",
         "@stdlib/math/base/special/floor",
         "@stdlib/math/base/special/ldexp",
-        "@stdlib/number/float64/base/get-high-word",
-        "@stdlib/number/float64/base/get-low-word",
-        "@stdlib/number/float64/base/from-words",
-        "@stdlib/constants/float64/high-word-abs-mask",
-        "@stdlib/constants/float64/high-word-exponent-mask",
-        "@stdlib/constants/float64/high-word-significand-mask"
+        "@stdlib/number/float32/base/from-word",
+        "@stdlib/number/float32/base/to-word",
+        "@stdlib/constants/float32/abs-mask",
+        "@stdlib/constants/float32/exponent-mask"
       ]
     },
     {
@@ -63,15 +61,13 @@
       "libraries": [],
       "libpath": [],
       "dependencies": [
-        "@stdlib/math/base/special/round",
+        "@stdlib/math/base/special/roundf",
         "@stdlib/math/base/special/floor",
         "@stdlib/math/base/special/ldexp",
-        "@stdlib/number/float64/base/get-high-word",
-        "@stdlib/number/float64/base/get-low-word",
-        "@stdlib/number/float64/base/from-words",
-        "@stdlib/constants/float64/high-word-abs-mask",
-        "@stdlib/constants/float64/high-word-exponent-mask",
-        "@stdlib/constants/float64/high-word-significand-mask"
+        "@stdlib/number/float32/base/from-word",
+        "@stdlib/number/float32/base/to-word",
+        "@stdlib/constants/float32/abs-mask",
+        "@stdlib/constants/float32/exponent-mask"
       ]
     },
     {
@@ -85,15 +81,13 @@
       "libraries": [],
       "libpath": [],
       "dependencies": [
-        "@stdlib/math/base/special/round",
+        "@stdlib/math/base/special/roundf",
         "@stdlib/math/base/special/floor",
         "@stdlib/math/base/special/ldexp",
-        "@stdlib/number/float64/base/get-high-word",
-        "@stdlib/number/float64/base/get-low-word",
-        "@stdlib/number/float64/base/from-words",
-        "@stdlib/constants/float64/high-word-abs-mask",
-        "@stdlib/constants/float64/high-word-exponent-mask",
-        "@stdlib/constants/float64/high-word-significand-mask"
+        "@stdlib/number/float32/base/from-word",
+        "@stdlib/number/float32/base/to-word",
+        "@stdlib/constants/float32/abs-mask",
+        "@stdlib/constants/float32/exponent-mask"
       ]
     }
   ]
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/package.json b/lib/node_modules/@stdlib/math/base/special/rempio2f/package.json
index 5e5ac0a6d2d2..f93396d27ede 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/package.json
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/package.json
@@ -1,5 +1,5 @@
 {
-  "name": "@stdlib/math/base/special/rempio2",
+  "name": "@stdlib/math/base/special/rempio2f",
   "version": "0.0.0",
   "description": "Compute `x - nπ/2 = r`.",
   "license": "Apache-2.0",
@@ -60,6 +60,7 @@
     "division",
     "pi",
     "pio2",
+    "pio2f",
     "precision"
   ]
 }
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/addon.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/addon.c
index ca49f1877cf8..881de4bed14c 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/addon.c
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/addon.c
@@ -16,9 +16,9 @@
 * limitations under the License.
 */
 
-#include "stdlib/math/base/special/rempio2.h"
+#include "stdlib/math/base/special/rempio2f.h"
 #include "stdlib/napi/argv.h"
-#include "stdlib/napi/argv_double.h"
+#include "stdlib/napi/argv_float.h"
 #include "stdlib/napi/argv_float64array.h"
 #include "stdlib/napi/create_double.h"
 #include "stdlib/napi/export.h"
@@ -33,9 +33,9 @@
 */
 static napi_value addon( napi_env env, napi_callback_info info ) {
 	STDLIB_NAPI_ARGV( env, info, argv, argc, 2 );
-	STDLIB_NAPI_ARGV_DOUBLE( env, x, argv, 0 );
+	STDLIB_NAPI_ARGV_FLOAT( env, x, argv, 0 );
 	STDLIB_NAPI_ARGV_FLOAT64ARRAY( env, y, ylen, argv, 1 );
-	STDLIB_NAPI_CREATE_DOUBLE( env, stdlib_base_rempio2( x, &y[0], &y[1] ), n );
+	STDLIB_NAPI_CREATE_DOUBLE( env, stdlib_base_rempio2f( x, &y[0] ), n );
 	return n;
 }
 
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
index 0384913710a3..ae547a0061b3 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
@@ -18,7 +18,7 @@
 *
 * ## Notice
 *
-* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/e_rem_pio2.c}. The implementation follows the original, but has been modified according to project conventions.
+* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/e_rem_pio2f.c}. The implementation follows the original, but has been modified according to project conventions.
 *
 * ```text
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -30,58 +30,25 @@
 * ```
 */
 
-#include "stdlib/math/base/special/rempio2.h"
-#include "stdlib/math/base/special/round.h"
+#include "stdlib/math/base/special/rempio2f.h"
+#include "stdlib/math/base/special/roundf.h"
 #include "stdlib/math/base/special/floor.h"
 #include "stdlib/math/base/special/ldexp.h"
-#include "stdlib/number/float64/base/get_high_word.h"
-#include "stdlib/number/float64/base/get_low_word.h"
-#include "stdlib/number/float64/base/from_words.h"
-#include "stdlib/constants/float64/high_word_abs_mask.h"
-#include "stdlib/constants/float64/high_word_exponent_mask.h"
-#include "stdlib/constants/float64/high_word_significand_mask.h"
+#include "stdlib/number/float32/base/from_word.h"
+#include "stdlib/number/float32/base/to_word.h"
+#include "stdlib/constants/float32/abs_mask.h"
+#include "stdlib/constants/float32/exponent_mask.h"
 #include <stdint.h>
 
 static const double ZERO =  0.00000000000000000000e+00;       // 0x00000000, 0x00000000
 static const double TWO24 =  1.67772160000000000000e+07;      // 0x41700000, 0x00000000
 static const double TWON24 = 5.96046447753906250000e-08;      // 0x3E700000, 0x00000000
 static const double INVPIO2 =  6.36619772367581382433e-01;    // 0x3FE45F30, 0x6DC9C883
-static const double PIO2_1  =  1.57079632673412561417e+00;    // 0x3FF921FB, 0x54400000
-static const double PIO2_1T =  6.07710050650619224932e-11;    // 0x3DD0B461, 0x1A626331
-static const double PIO2_2  =  6.07710050630396597660e-11;    // 0x3DD0B461, 0x1A600000
-static const double PIO2_2T =  2.02226624879595063154e-21;    // 0x3BA3198A, 0x2E037073
-static const double PIO2_3  =  2.02226624871116645580e-21;    // 0x3BA3198A, 0x2E000000
-static const double PIO2_3T =  8.47842766036889956997e-32;    // 0x397B839A, 0x252049C1
+static const double PIO2_1  =  1.57079631090164184570e+00;    // 0x3FF921FB, 0x50000000
+static const double PIO2_1T =  1.58932547735281966916e-08;    // 0x3E5110b4, 0x611A6263
 
-// High word significand for π and π/2: 0x921fb = 598523 => 00000000000010010010000111111011
-static const int32_t PI_HIGH_WORD_SIGNIFICAND = 0x921fb;
-
-// High word for π/4: 0x3fe921fb = 1072243195 => 00111111111010010010000111111011
-static const int32_t PIO4_HIGH_WORD = 0x3fe921fb;
-
-// High word for 3π/4: 0x4002d97c = 1073928572 => 01000000000000101101100101111100
-static const int32_t THREE_PIO4_HIGH_WORD = 0x4002d97c;
-
-// High word for 5π/4: 0x400f6a7a = 1074752122 => 01000000000011110110101001111010
-static const int32_t FIVE_PIO4_HIGH_WORD = 0x400f6a7a;
-
-// High word for 6π/4: 0x4012d97c = 1074977148 => 01000000000100101101100101111100
-static const int32_t THREE_PIO2_HIGH_WORD = 0x4012d97c;
-
-// High word for 7π/4: 0x4015fdbc = 1075183036 => 01000000000101011111110110111100
-static const int32_t SEVEN_PIO4_HIGH_WORD = 0x4015fdbc;
-
-// High word for 8π/4: 0x401921fb = 1075388923 => 01000000000110010010000111111011
-static const int32_t TWO_PI_HIGH_WORD = 0x401921fb;
-
-// High word for 9π/4: 0x401c463b = 1075594811 => 01000000000111000100011000111011
-static const int32_t NINE_PIO4_HIGH_WORD = 0x401c463b;
-
-// 2^20*π/2 = 1647099.3291652855 => 0100000100111001001000011111101101010100010001000010110100011000 => high word => 0x413921fb = 1094263291 => 01000001001110010010000111111011
-static const int32_t MEDIUM = 0x413921fb;
-
-// Exponent mask (2047 => 0x7ff):
-static const int32_t EXPONENT_MASK = 0x7ff;
+// 2^28*π/2 = 421657428.2663131 => 0100000110111001001000011111101101010100010001000010110100011000 => high word => 0x4dc90fdb = 1102651899 => 01000001101110010010000111111011
+static const int32_t MEDIUM = 0x4dc90fdb;
 
 
 /*
@@ -122,7 +89,7 @@ static const double PIO2[] = {
 };
 
 /**
-* Returns the last three binary digits of `N` with `y = x - Nπ/2` so that `|y| < π/2`.
+* Returns the last three binary digits of `N` with `y = x - Nπ/2` so that `|y| < π/2` (single-precision).
 *
 * ## Method
 *
@@ -232,7 +199,7 @@ static const double PIO2[] = {
 * @param nx      dimension of `x[]`
 * @return        last 3 binary digits
 */
-int32_t rempio2Kernel( const double* x, double *y, int32_t e0, int32_t nx ) {
+int32_t rempio2fKernel( const double* x, double *y, int32_t e0, int32_t nx ) {
 	double F[ 20 ] = { 0.0 };
 	double Q[ 20 ] = { 0.0 };
 	int32_t IQ[ 20 ];
@@ -420,207 +387,62 @@ int32_t rempio2Kernel( const double* x, double *y, int32_t e0, int32_t nx ) {
 	} else {
 		y[ 0 ] = -fw;
 	}
-	fw = FQ[ 0 ] - fw;
-	for ( i = 1; i <= jz; i++ ) {
-		fw += FQ[i];
-	}
-	if ( ih == 0 ) {
-		y[ 1 ] = fw;
-	} else {
-		y[ 1 ] = -fw;
-	}
 	return n & 7;
 }
 
 
 /**
-* Computes `x - nπ/2 = r`.
-*
-* ## Notes
-*
-* -   Returns `n` and stores the remainder `r` as two numbers `rem1` and `rem2`, such that `rem1+rem2 = r`.
+* Computes `x - nπ/2 = r` (single-precision).
 *
 * @param x       input value
-* @param rem1    remainder element 1
-* @param rem2    remainder element 2
+* @param rem     remainder element
 * @return        factor of `π/2`
 *
 * @example
 * #include <stdint.h>
 *
-* double rem1;
-* double rem2;
-* int32_t n = stdlib_base_rempio2( 128.0, &rem1, &rem2 );
+* double rem;
+* int32_t n = stdlib_base_rempio2f( 128.0f, &rem );
 */
-int32_t stdlib_base_rempio2( const double x, double *rem1, double *rem2 ) {
-	double TX[ 3 ];
-	double TY[ 2 ];
-	uint32_t uhigh;
-	uint32_t ulow;
+int32_t stdlib_base_rempio2f( const float x, double *rem ) {
+	double TX[ 1 ];
+	double TY[ 1 ];
 	uint32_t uhx;
-	int32_t high;
-	int32_t low;
 	int32_t ix;
 	int32_t hx;
 	int32_t e0;
-	int32_t nx;
-	int32_t i;
-	int32_t j;
 	int32_t n;
-	double z;
 	double w;
-	double t;
 	double r;
+	float z;
 
 	// high word of x
-	stdlib_base_float64_get_high_word( x, &uhx );
+	stdlib_base_float32_to_word( x, &uhx );
 	hx = ( int32_t )uhx;
-	ix = hx & STDLIB_CONSTANT_FLOAT64_HIGH_WORD_ABS_MASK;
+	ix = hx & STDLIB_CONSTANT_FLOAT32_ABS_MASK;
 
-	// Case: |x| ~<= π/4 (no need for reduction)
-	if ( ix <= PIO4_HIGH_WORD ) {
-		*rem1 = x;
-		*rem2 = 0;
-		return 0;
-	}
-	// Case: |x| ~<= 5π/4
-	if ( ix <= FIVE_PIO4_HIGH_WORD ) {
-		// Case: |x| ~= π/2 or π
-		if ( ( ix & STDLIB_CONSTANT_FLOAT64_HIGH_WORD_SIGNIFICAND_MASK ) == PI_HIGH_WORD_SIGNIFICAND ) {
-			// Cancellation => use medium case
-			goto medium;
-		}
-		// Case: |x| ~<= 3π/4
-		if ( ix <= THREE_PIO4_HIGH_WORD ) {
-			if ( hx > 0 ) {
-				// one round good to 85 bits
-				z = x - PIO2_1;
-				*rem1 = z - PIO2_1T;
-				*rem2 = ( z - *rem1 ) - PIO2_1T;
-				return 1;
-			} else {
-				z = x + PIO2_1;
-				*rem1 = z + PIO2_1T;
-				*rem2 = ( z - *rem1 ) + PIO2_1T;
-				return -1;
-			}
-		} else {
-			if ( hx > 0 ) {
-				z = x - ( 2.0 * PIO2_1 );
-				*rem1 = z - ( 2 * PIO2_1T );
-				*rem2 = ( z - *rem1 ) - ( 2 * PIO2_1T );
-				return 2;
-			} else {
-				z = x + ( 2.0 * PIO2_1 );
-				*rem1 = z + ( 2.0 * PIO2_1T );
-				*rem2 = ( z - *rem1 ) + ( 2.0 * PIO2_1T );
-				return -2;
-			}
-		}
-	}
-	// Case: |x| ~<= 9π/4
-	if ( ix <= NINE_PIO4_HIGH_WORD ) {
-		// Case: |x| ~<= 7π/4
-		if ( ix <= SEVEN_PIO4_HIGH_WORD ) {
-			// Case: |x| ~= 3π/2
-			if ( ix == THREE_PIO2_HIGH_WORD ) {
-				goto medium;
-			}
-			if ( hx > 0 ) {
-				z = x - ( 3 * PIO2_1 );
-				*rem1 = z - ( 3 * PIO2_1T );
-				*rem2 = ( z - *rem1 ) - ( 3 * PIO2_1T );
-				return 3;
-			} else {
-				z = x + ( 3 * PIO2_1 );
-				*rem1 = z + ( 3 * PIO2_1T );
-				*rem2 = ( z - *rem1 ) + ( 3.0 * PIO2_1T );
-				return -3;
-			}
-		} else {
-		// Case: |x| ~= 4π/2
-			if ( ix == TWO_PI_HIGH_WORD ) {
-				goto medium;
-			}
-			if ( hx > 0 ) {
-				z = x - ( 4 * PIO2_1 );
-				*rem1 = z - ( 4 * PIO2_1T );
-				*rem2 = ( z - *rem1 ) - ( 4 * PIO2_1T );
-				return 4;
-			} else {
-				z = x + ( 4 * PIO2_1 );
-				*rem1 = z + ( 4 * PIO2_1T );
-				*rem2 = ( z - *rem1 ) + ( 4 * PIO2_1T );
-				return -4;
-			}
-		}
-	}
-	// Case: |x| ~< 2^20*π/2 (medium size)
+	// Case: |x| ~< 2^28*π/2 (medium size)
 	if ( ix < MEDIUM ) {
-medium:
-		n = stdlib_base_round( x * INVPIO2 );
+		n = stdlib_base_roundf( x * INVPIO2 );
 		r = x - ( n * PIO2_1 );
 		w = n * PIO2_1T;
-
-		// First rounding (good to 85 bits)...
-		j = ix >> 20;
-		*rem1 = r - w;
-		stdlib_base_float64_get_high_word( *rem1, &uhigh );
-		high = ( int32_t )uhigh;
-		i = j - ( ( high >> 20 ) & EXPONENT_MASK );
-
-		// Check if a second iteration is needed (good to 118 bits)...
-		if ( i > 16 ) {
-			t = r;
-			w = n * PIO2_2;
-			r = t - w;
-			w = ( n * PIO2_2T ) - ( ( t - r ) - w );
-			*rem1 = r - w;
-			stdlib_base_float64_get_high_word( *rem1, &uhigh );
-			high = ( int32_t )uhigh;
-			i = j - ( ( high >> 20 ) & EXPONENT_MASK );
-
-			// Check if a third iteration is needed (151 bits accumulated)...
-			if ( i > 49 ) {
-				// will cover all possible cases
-				t = r;
-				w = n * PIO2_3;
-				r = t - w;
-				w = ( n * PIO2_3T ) - ( ( t - r ) - w );
-				*rem1 = r - w;
-			}
-		}
-		*rem2 = ( r - *rem1 ) - w;
+		*rem = r - w;
 		return n;
 	}
 	// Case: x is NaN or infinity
-	if( ix >= STDLIB_CONSTANT_FLOAT64_HIGH_WORD_EXPONENT_MASK ) {
-		*rem1 = 0.0 / 0.0; // NaN
-		*rem2 = 0.0 / 0.0; // NaN
+	if( ix >= STDLIB_CONSTANT_FLOAT32_EXPONENT_MASK ) {
+		*rem = 0.0 / 0.0; // NaN
 		return 0;
 	}
-	// Set z = scalbn(|x|, ilogb(x)-23)...
-	stdlib_base_float64_get_low_word( x, &ulow );
-	low = ( int32_t )ulow;
-	e0 = ( ix >> 20 ) - 1046; // `e0 = ilogb(z) - 23` => unbiased exponent minus 23
-	stdlib_base_float64_from_words( ix - ( int32_t ) ( e0 << 20 ), low, &z );
-	for ( i = 0; i < 2; i++ ) {
-		TX[ i ] = ( double )( ( int32_t )z );
-		z = ( z - TX[ i ] ) * TWO24;
-	}
-	TX[ 2 ] = z;
-	nx = 3;
-	while ( TX[ nx - 1 ] == ZERO ) {
-		// Skip zero term...
-		nx--;
-	}
-	n = rempio2Kernel( TX, TY, e0, nx);
+	// Set z = scalbn(|x|, ilogb(|x|)-23)...
+	e0 = ( ix >> 23 ) - 150; // `e0 = ilogb(|x|) - 23` => unbiased exponent minus 23
+	stdlib_base_float32_from_word( ix - ( int32_t ) ( e0 << 23 ), &z );
+	TX[ 0 ] = z;
+	n = rempio2fKernel( TX, TY, e0, 1 );
 	if ( hx < 0 ) {
-		*rem1 = -TY[ 0 ];
-		*rem2 = -TY[ 1 ];
+		*rem = -TY[ 0 ];
 		return -n;
 	}
-	*rem1 = TY[ 0 ];
-	*rem2 = TY[ 1 ];
+	*rem = TY[ 0 ];
 	return n;
 }
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js
index 432dabcc8c30..1bcd0f5fc964 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js
@@ -23,11 +23,11 @@
 var tape = require( 'tape' );
 var isInteger = require( '@stdlib/assert/is-integer' );
 var isNumber = require( '@stdlib/assert/is-number' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
 var incrspace = require( '@stdlib/array/base/incrspace' );
 var linspace = require( '@stdlib/array/base/linspace' );
 var randu = require( '@stdlib/random/base/randu' );
-var abs = require( '@stdlib/math/base/special/absf' );
+var absf = require( '@stdlib/math/base/special/absf' );
 var pow = require( '@stdlib/math/base/special/pow' );
 var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
 var EPS = require( '@stdlib/constants/float32/eps' );
@@ -35,39 +35,39 @@ var PINF = require( '@stdlib/constants/float32/pinf' );
 var NINF = require( '@stdlib/constants/float32/ninf' );
 var PIO2 = require( '@stdlib/constants/float32/half-pi' );
 var PIO4 = require( '@stdlib/constants/float32/fourth-pi' );
-var rempio2 = require( './../lib' );
+var rempio2f = require( './../lib' );
 
 
 // TESTS //
 
 tape( 'main export is a function', function test( t ) {
 	t.ok( true, __filename );
-	t.strictEqual( typeof rempio2, 'function', 'main export is a function' );
+	t.strictEqual( typeof rempio2f, 'function', 'main export is a function' );
 	t.end();
 });
 
-tape( 'the function returns `0` and sets the elements of `y` to `NaN` if provided `NaN`', function test( t ) {
+tape( 'the function returns `0` and sets `y[0]` to `NaN` if provided `NaN`', function test( t ) {
 	var y = [ 0.0 ];
-	var n = rempio2( NaN, y );
+	var n = rempio2f( NaN, y );
 	t.strictEqual( n, 0.0, 'returns expected value' );
-	t.strictEqual( isnan( y[0] ), true, 'returns expected value' );
+	t.strictEqual( isnanf( y[0] ), true, 'returns expected value' );
 	t.end();
 });
 
-tape( 'the function returns `0` and sets the elements of `y` to `NaN` if provided positive or negative infinity', function test( t ) {
+tape( 'the function returns `0` and sets `y[0]` to `NaN` if provided positive or negative infinity', function test( t ) {
 	var y = [ 0.0 ];
-	var n = rempio2( PINF, y );
+	var n = rempio2f( PINF, y );
 	t.strictEqual( n, 0.0, 'returns expected value' );
-	t.strictEqual( isnan( y[0] ), true, 'returns expected value' );
+	t.strictEqual( isnanf( y[0] ), true, 'returns expected value' );
 
 	y = [ 0.0 ];
-	n = rempio2( NINF, y );
+	n = rempio2f( NINF, y );
 	t.strictEqual( n, 0.0, 'returns expected value' );
-	t.strictEqual( isnan( y[0] ), true, 'returns expected value' );
+	t.strictEqual( isnanf( y[0] ), true, 'returns expected value' );
 	t.end();
 });
 
-tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (positive)', function test( t ) {
+tape( 'the function returns `n` and stores `r` as a double-precision floating point number in `y` such that `x - nπ/2 = r` (positive)', function test( t ) {
 	var delta;
 	var tol;
 	var x;
@@ -79,20 +79,20 @@ tape( 'the function returns `n` and stores `r` as two double-precision floating
 	y = [ 0.0 ];
 	for ( i = 0; i < 200; i++ ) {
 		x = float64ToFloat32( randu()*100.0 );
-		n = rempio2( x, y );
+		n = rempio2f( x, y );
 
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[ 0 ] ), true, 'returns expected value' );
 
 		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
-		delta = abs( z - x );
-		tol = EPS * abs( x );
+		delta = absf( z - x );
+		tol = EPS * absf( x );
 		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
 	}
 	t.end();
 });
 
-tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (tiny positive)', function test( t ) {
+tape( 'the function returns `n` and stores `r` as a double-precision floating point number in `y` such that `x - nπ/2 = r` (tiny positive)', function test( t ) {
 	var delta;
 	var tol;
 	var x;
@@ -104,20 +104,20 @@ tape( 'the function returns `n` and stores `r` as two double-precision floating
 	y = [ 0.0 ];
 	for ( i = 0; i < 200; i++ ) {
 		x = float64ToFloat32( randu()*1.0e-100 );
-		n = rempio2( x, y );
+		n = rempio2f( x, y );
 
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
 
 		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
-		delta = abs( z - x );
-		tol = EPS * abs( x );
+		delta = absf( z - x );
+		tol = EPS * absf( x );
 		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
 	}
 	t.end();
 });
 
-tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (negative)', function test( t ) {
+tape( 'the function returns `n` and stores `r` as a double-precision floating point number in `y` such that `x - nπ/2 = r` (negative)', function test( t ) {
 	var delta;
 	var tol;
 	var x;
@@ -129,20 +129,20 @@ tape( 'the function returns `n` and stores `r` as two double-precision floating
 	y = [ 0.0 ];
 	for ( i = 0; i < 200; i++ ) {
 		x = float64ToFloat32( -100.0 * randu() );
-		n = rempio2( x, y );
+		n = rempio2f( x, y );
 
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
 
 		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
-		delta = abs( z - x );
-		tol = EPS * abs( x );
+		delta = absf( z - x );
+		tol = EPS * absf( x );
 		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
 	}
 	t.end();
 });
 
-tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (tiny negative)', function test( t ) {
+tape( 'the function returns `n` and stores `r` as a double-precision floating point number in `y` such that `x - nπ/2 = r` (tiny negative)', function test( t ) {
 	var delta;
 	var tol;
 	var x;
@@ -154,20 +154,20 @@ tape( 'the function returns `n` and stores `r` as two double-precision floating
 	y = [ 0.0 ];
 	for ( i = 0; i < 200; i++ ) {
 		x = float64ToFloat32( -1.0e-100 * randu() );
-		n = rempio2( x, y );
+		n = rempio2f( x, y );
 
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
 
 		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
-		delta = abs( z - x );
-		tol = EPS * abs( x );
+		delta = absf( z - x );
+		tol = EPS * absf( x );
 		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
 	}
 	t.end();
 });
 
-tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (multiples of π/4)', function test( t ) {
+tape( 'the function returns `n` and stores `r` as a double-precision floating point number in `y` such that `x - nπ/2 = r` (multiples of π/4)', function test( t ) {
 	var delta;
 	var tol;
 	var x;
@@ -180,20 +180,20 @@ tape( 'the function returns `n` and stores `r` as two double-precision floating
 	y = [ 0.0 ];
 	for ( i = 0; i < x.length; i++ ) {
 		x[i] = float64ToFloat32( x[i] );
-		n = rempio2( x[i], y );
+		n = rempio2f( x[i], y );
 
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
 
 		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
-		delta = abs( z - x[i] );
-		tol = EPS * abs( x[i] );
+		delta = absf( z - x[i] );
+		tol = EPS * absf( x[i] );
 		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
 	}
 	t.end();
 });
 
-tape( 'for large positive input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', function test( t ) {
+tape( 'for large positive input values, the function returns the last three binary digits of `n` and stores `r` as a double-precision floating point number in `y`', function test( t ) {
 	var x;
 	var y;
 	var n;
@@ -203,7 +203,7 @@ tape( 'for large positive input values, the function returns the last three bina
 	y = [ 0.0 ];
 	for ( i = 0; i < x.length; i++ ) {
 		x[i] = float64ToFloat32( x[i] );
-		n = rempio2( x[i], y );
+		n = rempio2f( x[i], y );
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
 		t.strictEqual( n < 8, true, 'returns expected value' );
@@ -211,7 +211,7 @@ tape( 'for large positive input values, the function returns the last three bina
 	t.end();
 });
 
-tape( 'for large negative input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', function test( t ) {
+tape( 'for large negative input values, the function returns the last three binary digits of `n` and stores `r` as a double-precision floating point number in `y`', function test( t ) {
 	var x;
 	var y;
 	var n;
@@ -221,7 +221,7 @@ tape( 'for large negative input values, the function returns the last three bina
 	y = [ 0.0 ];
 	for ( i = 0; i < x.length; i++ ) {
 		x[i] = float64ToFloat32( x[i] );
-		n = rempio2( x[i], y );
+		n = rempio2f( x[i], y );
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
 		t.strictEqual( n < 8, true, 'returns expected value' );
@@ -229,7 +229,7 @@ tape( 'for large negative input values, the function returns the last three bina
 	t.end();
 });
 
-tape( 'for huge positive input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', function test( t ) {
+tape( 'for huge positive input values, the function returns the last three binary digits of `n` and stores `r` as a double-precision floating point number in `y`', function test( t ) {
 	var x;
 	var y;
 	var n;
@@ -239,7 +239,7 @@ tape( 'for huge positive input values, the function returns the last three binar
 	y = [ 0.0 ];
 	for ( i = 0; i < x.length; i++ ) {
 		x[i] = float64ToFloat32( x[i] );
-		n = rempio2( x[i], y );
+		n = rempio2f( x[i], y );
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
 		t.strictEqual( n < 8, true, 'returns expected value' );
@@ -247,7 +247,7 @@ tape( 'for huge positive input values, the function returns the last three binar
 	t.end();
 });
 
-tape( 'for huge negative input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', function test( t ) {
+tape( 'for huge negative input values, the function returns the last three binary digits of `n` and stores `r` as a double-precision floating point number in `y`', function test( t ) {
 	var x;
 	var y;
 	var n;
@@ -257,7 +257,7 @@ tape( 'for huge negative input values, the function returns the last three binar
 	y = [ 0.0 ];
 	for ( i = 0; i < x.length; i++ ) {
 		x[i] = float64ToFloat32( x[i] );
-		n = rempio2( x[i], y );
+		n = rempio2f( x[i], y );
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
 		t.strictEqual( n < 8, true, 'returns expected value' );
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js
index aebecf791c36..84d1fcd53c6a 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js
@@ -24,26 +24,27 @@ var resolve = require( 'path' ).resolve;
 var tape = require( 'tape' );
 var isInteger = require( '@stdlib/assert/is-integer' );
 var isNumber = require( '@stdlib/assert/is-number' );
-var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
 var incrspace = require( '@stdlib/array/base/incrspace' );
 var linspace = require( '@stdlib/array/base/linspace' );
 var randu = require( '@stdlib/random/base/randu' );
-var abs = require( '@stdlib/math/base/special/abs' );
+var absf = require( '@stdlib/math/base/special/absf' );
 var pow = require( '@stdlib/math/base/special/pow' );
-var PINF = require( '@stdlib/constants/float64/pinf' );
-var NINF = require( '@stdlib/constants/float64/ninf' );
-var EPS = require( '@stdlib/constants/float64/eps' );
-var PIO2 = require( '@stdlib/constants/float64/half-pi' );
-var PIO4 = require( '@stdlib/constants/float64/fourth-pi' );
+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 PIO2 = require( '@stdlib/constants/float32/half-pi' );
+var PIO4 = require( '@stdlib/constants/float32/fourth-pi' );
 var Float64Array = require( '@stdlib/array/float64' );
 var tryRequire = require( '@stdlib/utils/try-require' );
 
 
 // VARIABLES //
 
-var rempio2 = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var rempio2f = tryRequire( resolve( __dirname, './../lib/native.js' ) );
 var opts = {
-	'skip': ( rempio2 instanceof Error )
+	'skip': ( rempio2f instanceof Error )
 };
 
 
@@ -51,35 +52,32 @@ var opts = {
 
 tape( 'main export is a function', opts, function test( t ) {
 	t.ok( true, __filename );
-	t.strictEqual( typeof rempio2, 'function', 'main export is a function' );
+	t.strictEqual( typeof rempio2f, 'function', 'main export is a function' );
 	t.end();
 });
 
-tape( 'the function returns `0` and sets the elements of `y` to `NaN` if provided `NaN`', opts, function test( t ) {
-	var y = new Float64Array( [ 0.0, 0.0 ] );
-	var n = rempio2( NaN, y );
+tape( 'the function returns `0` and sets `y[0]` to `NaN` if provided `NaN`', opts, function test( t ) {
+	var y = new Float64Array( [ 0.0 ] );
+	var n = rempio2f( NaN, y );
 	t.strictEqual( n, 0.0, 'returns expected value' );
-	t.strictEqual( isnan( y[0] ), true, 'returns expected value' );
-	t.strictEqual( isnan( y[1] ), true, 'returns expected value' );
+	t.strictEqual( isnanf( y[0] ), true, 'returns expected value' );
 	t.end();
 });
 
-tape( 'the function returns `0` and sets the elements of `y` to `NaN` if provided positive or negative infinity', opts, function test( t ) {
-	var y = new Float64Array( [ 0.0, 0.0 ] );
-	var n = rempio2( PINF, y );
+tape( 'the function returns `0` and sets `y[0]` to `NaN` if provided positive or negative infinity', opts, function test( t ) {
+	var y = new Float64Array( [ 0.0 ] );
+	var n = rempio2f( PINF, y );
 	t.strictEqual( n, 0.0, 'returns expected value' );
-	t.strictEqual( isnan( y[0] ), true, 'returns expected value' );
-	t.strictEqual( isnan( y[1] ), true, 'returns expected value' );
+	t.strictEqual( isnanf( y[0] ), true, 'returns expected value' );
 
-	y = new Float64Array( [ 0.0, 0.0 ] );
-	n = rempio2( NINF, y );
+	y = new Float64Array( [ 0.0 ] );
+	n = rempio2f( NINF, y );
 	t.strictEqual( n, 0.0, 'returns expected value' );
-	t.strictEqual( isnan( y[0] ), true, 'returns expected value' );
-	t.strictEqual( isnan( y[1] ), true, 'returns expected value' );
+	t.strictEqual( isnanf( y[0] ), true, 'returns expected value' );
 	t.end();
 });
 
-tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (positive)', opts, function test( t ) {
+tape( 'the function returns `n` and stores `r` as a double-precision floating point number in `y` such that `x - nπ/2 = r` (positive)', opts, function test( t ) {
 	var delta;
 	var tol;
 	var x;
@@ -88,24 +86,23 @@ tape( 'the function returns `n` and stores `r` as two double-precision floating
 	var n;
 	var i;
 
-	y = new Float64Array( [ 0.0, 0.0 ] );
+	y = new Float64Array( [ 0.0 ] );
 	for ( i = 0; i < 200; i++ ) {
-		x = randu()*100.0;
-		n = rempio2( x, y );
+		x = float64ToFloat32( randu()*100.0 );
+		n = rempio2f( x, y );
 
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
-		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
-		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
+		t.strictEqual( isNumber( y[ 0 ] ), true, 'returns expected value' );
 
-		z = ( PIO2*n ) + ( y[0]+y[1] );
-		delta = abs( z - x );
-		tol = EPS * abs( x );
-		t.strictEqual( delta <= tol, true, 'can recover input value' );
+		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
+		delta = absf( z - x );
+		tol = EPS * absf( x );
+		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
 	}
 	t.end();
 });
 
-tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (tiny positive)', opts, function test( t ) {
+tape( 'the function returns `n` and stores `r` as a double-precision floating point number in `y` such that `x - nπ/2 = r` (tiny positive)', opts, function test( t ) {
 	var delta;
 	var tol;
 	var x;
@@ -114,24 +111,23 @@ tape( 'the function returns `n` and stores `r` as two double-precision floating
 	var n;
 	var i;
 
-	y = new Float64Array( [ 0.0, 0.0 ] );
+	y = new Float64Array( [ 0.0 ] );
 	for ( i = 0; i < 200; i++ ) {
-		x = randu()*1.0e-100;
-		n = rempio2( x, y );
+		x = float64ToFloat32( randu()*1.0e-100 );
+		n = rempio2f( x, y );
 
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
-		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
 
-		z = ( PIO2*n ) + ( y[0]+y[1] );
-		delta = abs( z - x );
-		tol = EPS * abs( x );
-		t.strictEqual( delta <= tol, true, 'can recover input value' );
+		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
+		delta = absf( z - x );
+		tol = EPS * absf( x );
+		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
 	}
 	t.end();
 });
 
-tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (negative)', opts, function test( t ) {
+tape( 'the function returns `n` and stores `r` as a double-precision floating point number in `y` such that `x - nπ/2 = r` (negative)', opts, function test( t ) {
 	var delta;
 	var tol;
 	var x;
@@ -140,24 +136,23 @@ tape( 'the function returns `n` and stores `r` as two double-precision floating
 	var n;
 	var i;
 
-	y = new Float64Array( [ 0.0, 0.0 ] );
+	y = new Float64Array( [ 0.0 ] );
 	for ( i = 0; i < 200; i++ ) {
-		x = -100.0 * randu();
-		n = rempio2( x, y );
+		x = float64ToFloat32( -100.0 * randu() );
+		n = rempio2f( x, y );
 
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
-		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
 
-		z = ( PIO2*n ) + ( y[0]+y[1] );
-		delta = abs( z - x );
-		tol = EPS * abs( x );
-		t.strictEqual( delta <= tol, true, 'can recover input value' );
+		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
+		delta = absf( z - x );
+		tol = EPS * absf( x );
+		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
 	}
 	t.end();
 });
 
-tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (tiny negative)', opts, function test( t ) {
+tape( 'the function returns `n` and stores `r` as a double-precision floating point number in `y` such that `x - nπ/2 = r` (tiny negative)', opts, function test( t ) {
 	var delta;
 	var tol;
 	var x;
@@ -166,24 +161,23 @@ tape( 'the function returns `n` and stores `r` as two double-precision floating
 	var n;
 	var i;
 
-	y = new Float64Array( [ 0.0, 0.0 ] );
+	y = new Float64Array( [ 0.0 ] );
 	for ( i = 0; i < 200; i++ ) {
-		x = -1.0e-100 * randu();
-		n = rempio2( x, y );
+		x = float64ToFloat32( -1.0e-100 * randu() );
+		n = rempio2f( x, y );
 
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
-		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
 
-		z = ( PIO2*n ) + ( y[0]+y[1] );
-		delta = abs( z - x );
-		tol = EPS * abs( x );
-		t.strictEqual( delta <= tol, true, 'can recover input value' );
+		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
+		delta = absf( z - x );
+		tol = EPS * absf( x );
+		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
 	}
 	t.end();
 });
 
-tape( 'the function returns `n` and stores `r` as two double-precision floating point numbers in `y` such that `x - nπ/2 = r` (multiples of π/4)', opts, function test( t ) {
+tape( 'the function returns `n` and stores `r` as a double-precision floating point number in `y` such that `x - nπ/2 = r` (multiples of π/4)', opts, function test( t ) {
 	var delta;
 	var tol;
 	var x;
@@ -193,89 +187,89 @@ tape( 'the function returns `n` and stores `r` as two double-precision floating
 	var i;
 
 	x = incrspace( -10.0*PIO4, 10.0*PIO4, PIO4 );
-	y = new Float64Array( [ 0.0, 0.0 ] );
+	y = new Float64Array( [ 0.0 ] );
 	for ( i = 0; i < x.length; i++ ) {
-		n = rempio2( x[i], y );
+		x[i] = float64ToFloat32( x[i] );
+		n = rempio2f( x[i], y );
 
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
-		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
 
-		z = ( PIO2*n ) + ( y[0]+y[1] );
-		delta = abs( z - x[i] );
-		tol = EPS * abs( x[i] );
-		t.strictEqual( delta <= tol, true, 'can recover input value' );
+		z = float64ToFloat32( ( PIO2*n ) + ( y[0] ) );
+		delta = absf( z - x[i] );
+		tol = EPS * absf( x[i] );
+		t.ok( delta <= tol, 'within tolerance. x: '+x+'. n: '+n+'. y: '+y+'. z: '+z+'. delta: '+delta+'. tol: '+tol+'.' );
 	}
 	t.end();
 });
 
-tape( 'for large positive input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', opts, function test( t ) {
+tape( 'for large positive input values, the function returns the last three binary digits of `n` and stores `r` as a double-precision floating point number in `y`', opts, function test( t ) {
 	var x;
 	var y;
 	var n;
 	var i;
 
-	x = linspace( pow( 2.0, 20 )*PIO2, pow( 2.0, 60 )*PIO2, 4000 );
-	y = new Float64Array( [ 0.0, 0.0 ] );
+	x = linspace( pow( 2.0, 28 )*PIO2, pow( 2.0, 60 )*PIO2, 4000 );
+	y = new Float64Array( [ 0.0 ] );
 	for ( i = 0; i < x.length; i++ ) {
-		n = rempio2( x[i], y );
+		x[i] = float64ToFloat32( x[i] );
+		n = rempio2f( x[i], y );
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
-		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
 		t.strictEqual( n < 8, true, 'returns expected value' );
 	}
 	t.end();
 });
 
-tape( 'for large negative input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', opts, function test( t ) {
+tape( 'for large negative input values, the function returns the last three binary digits of `n` and stores `r` as a double-precision floating point number in `y`', opts, function test( t ) {
 	var x;
 	var y;
 	var n;
 	var i;
 
-	x = linspace( -pow( 2.0, 20 )*PIO2, -pow( 2.0, 60 )*PIO2, 4000 );
-	y = new Float64Array( [ 0.0, 0.0 ] );
+	x = linspace( -pow( 2.0, 28 )*PIO2, -pow( 2.0, 60 )*PIO2, 4000 );
+	y = new Float64Array( [ 0.0 ] );
 	for ( i = 0; i < x.length; i++ ) {
-		n = rempio2( x[i], y );
+		x[i] = float64ToFloat32( x[i] );
+		n = rempio2f( x[i], y );
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
-		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
 		t.strictEqual( n < 8, true, 'returns expected value' );
 	}
 	t.end();
 });
 
-tape( 'for huge positive input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', opts, function test( t ) {
+tape( 'for huge positive input values, the function returns the last three binary digits of `n` and stores `r` as a double-precision floating point number in `y`', opts, function test( t ) {
 	var x;
 	var y;
 	var n;
 	var i;
 
 	x = linspace( pow( 2.0, 60 )*PIO2, pow( 2.0, 1020 )*PIO2, 6000 );
-	y = new Float64Array( [ 0.0, 0.0 ] );
+	y = new Float64Array( [ 0.0 ] );
 	for ( i = 0; i < x.length; i++ ) {
-		n = rempio2( x[i], y );
+		x[i] = float64ToFloat32( x[i] );
+		n = rempio2f( x[i], y );
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
-		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
 		t.strictEqual( n < 8, true, 'returns expected value' );
 	}
 	t.end();
 });
 
-tape( 'for huge negative input values, the function returns the last three binary digits of `n` and stores `r` as two double-precision floating point numbers in `y`', opts, function test( t ) {
+tape( 'for huge negative input values, the function returns the last three binary digits of `n` and stores `r` as a double-precision floating point number in `y`', opts, function test( t ) {
 	var x;
 	var y;
 	var n;
 	var i;
 
 	x = linspace( -pow( 2.0, 60 )*PIO2, -pow( 2.0, 1020 )*PIO2, 6000 );
-	y = new Float64Array( [ 0.0, 0.0 ] );
+	y = new Float64Array( [ 0.0 ] );
 	for ( i = 0; i < x.length; i++ ) {
-		n = rempio2( x[i], y );
+		x[i] = float64ToFloat32( x[i] );
+		n = rempio2f( x[i], y );
 		t.strictEqual( isInteger( n ), true, 'returns expected value' );
 		t.strictEqual( isNumber( y[0] ), true, 'returns expected value' );
-		t.strictEqual( isNumber( y[1] ), true, 'returns expected value' );
 		t.strictEqual( n < 8, true, 'returns expected value' );
 	}
 	t.end();

From f36fdd0d3805b93e6d37e5ba4295d936d28a2483 Mon Sep 17 00:00:00 2001
From: stdlib-bot <82920195+stdlib-bot@users.noreply.github.com>
Date: Tue, 18 Mar 2025 06:35:13 +0000
Subject: [PATCH 3/6] chore: update copyright years

---
 lib/node_modules/@stdlib/math/base/special/rempio2f/README.md   | 2 +-
 .../@stdlib/math/base/special/rempio2f/benchmark/benchmark.js   | 2 +-
 .../math/base/special/rempio2f/benchmark/benchmark.native.js    | 2 +-
 .../math/base/special/rempio2f/benchmark/c/native/Makefile      | 2 +-
 .../math/base/special/rempio2f/benchmark/c/native/benchmark.c   | 2 +-
 lib/node_modules/@stdlib/math/base/special/rempio2f/binding.gyp | 2 +-
 .../@stdlib/math/base/special/rempio2f/docs/types/index.d.ts    | 2 +-
 .../@stdlib/math/base/special/rempio2f/docs/types/test.ts       | 2 +-
 .../@stdlib/math/base/special/rempio2f/examples/c/Makefile      | 2 +-
 .../@stdlib/math/base/special/rempio2f/examples/c/example.c     | 2 +-
 .../@stdlib/math/base/special/rempio2f/examples/index.js        | 2 +-
 .../@stdlib/math/base/special/rempio2f/include.gypi             | 2 +-
 .../rempio2f/include/stdlib/math/base/special/rempio2f.h        | 2 +-
 .../@stdlib/math/base/special/rempio2f/lib/index.js             | 2 +-
 .../@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js   | 2 +-
 lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js | 2 +-
 .../@stdlib/math/base/special/rempio2f/lib/native.js            | 2 +-
 .../@stdlib/math/base/special/rempio2f/src/Makefile             | 2 +-
 lib/node_modules/@stdlib/math/base/special/rempio2f/src/addon.c | 2 +-
 lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c  | 2 +-
 .../@stdlib/math/base/special/rempio2f/test/test.js             | 2 +-
 .../@stdlib/math/base/special/rempio2f/test/test.native.js      | 2 +-
 22 files changed, 22 insertions(+), 22 deletions(-)

diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/README.md b/lib/node_modules/@stdlib/math/base/special/rempio2f/README.md
index aa8b330348d8..3930f2d9b80a 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/README.md
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/README.md
@@ -2,7 +2,7 @@
 
 @license Apache-2.0
 
-Copyright (c) 2018 The Stdlib Authors.
+Copyright (c) 2025 The Stdlib Authors.
 
 Licensed under the Apache License, Version 2.0 (the "License");
 you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.js
index b6a6f212d261..30c551e3f1d6 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.js
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2018 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.native.js
index 6bec8c48eb6c..b1dbe21ad639 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.native.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/benchmark.native.js
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/Makefile
index f69e9da2b4d3..a4bd7b38fd74 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/Makefile
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/Makefile
@@ -1,7 +1,7 @@
 #/
 # @license Apache-2.0
 #
-# Copyright (c) 2024 The Stdlib Authors.
+# Copyright (c) 2025 The Stdlib Authors.
 #
 # Licensed under the Apache License, Version 2.0 (the "License");
 # you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/benchmark.c
index b88bea2af24d..a93cbc3a6659 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/benchmark.c
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/benchmark/c/native/benchmark.c
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/binding.gyp b/lib/node_modules/@stdlib/math/base/special/rempio2f/binding.gyp
index ec3992233442..68a1ca11d160 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/binding.gyp
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/binding.gyp
@@ -1,6 +1,6 @@
 # @license Apache-2.0
 #
-# Copyright (c) 2024 The Stdlib Authors.
+# Copyright (c) 2025 The Stdlib Authors.
 #
 # Licensed under the Apache License, Version 2.0 (the "License");
 # you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/index.d.ts
index ce985c1a8008..0c7f7e923d83 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/index.d.ts
@@ -1,7 +1,7 @@
 /*
 * @license Apache-2.0
 *
-* Copyright (c) 2019 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/test.ts
index 2760b8a4afbb..a69b1b3bfded 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/test.ts
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/docs/types/test.ts
@@ -1,7 +1,7 @@
 /*
 * @license Apache-2.0
 *
-* Copyright (c) 2019 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/Makefile
index 6aed70daf167..25ced822f96a 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/Makefile
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/Makefile
@@ -1,7 +1,7 @@
 #/
 # @license Apache-2.0
 #
-# Copyright (c) 2024 The Stdlib Authors.
+# Copyright (c) 2025 The Stdlib Authors.
 #
 # Licensed under the Apache License, Version 2.0 (the "License");
 # you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/example.c
index 1e3f0d3d4c1a..dbf59c311e59 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/example.c
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/c/example.c
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/index.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/index.js
index 5147c46fbdba..4923ed319205 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/index.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/examples/index.js
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2018 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/include.gypi b/lib/node_modules/@stdlib/math/base/special/rempio2f/include.gypi
index 575cb043c0bf..ecfaf82a3279 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/include.gypi
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/include.gypi
@@ -1,6 +1,6 @@
 # @license Apache-2.0
 #
-# Copyright (c) 2024 The Stdlib Authors.
+# Copyright (c) 2025 The Stdlib Authors.
 #
 # Licensed under the Apache License, Version 2.0 (the "License");
 # you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/rempio2f.h b/lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/rempio2f.h
index a0b879526a67..130efc25faf5 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/rempio2f.h
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/include/stdlib/math/base/special/rempio2f.h
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/index.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/index.js
index 1d259dde62d8..bfeb6f7ef601 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/index.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/index.js
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2018 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js
index d75712c15248..a6c92d4d49a8 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2018 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js
index 0057c5f5f804..b5a49236e49d 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2018 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/native.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/native.js
index 0e590406aa69..7657084f4b54 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/native.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/native.js
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/Makefile b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/Makefile
index bcf18aa46655..7733b6180cb4 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/Makefile
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/Makefile
@@ -1,7 +1,7 @@
 #/
 # @license Apache-2.0
 #
-# Copyright (c) 2024 The Stdlib Authors.
+# Copyright (c) 2025 The Stdlib Authors.
 #
 # Licensed under the Apache License, Version 2.0 (the "License");
 # you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/addon.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/addon.c
index 881de4bed14c..580898e38dbb 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/addon.c
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/addon.c
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
index ae547a0061b3..df5b8ebdd9dd 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js
index 1bcd0f5fc964..65a2121c8a33 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2018 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js
index 84d1fcd53c6a..35702c569d1d 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2024 The Stdlib Authors.
+* Copyright (c) 2025 The Stdlib Authors.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.

From 296b44758d01a9337cd25bfc8c6a18fb13450782 Mon Sep 17 00:00:00 2001
From: Karan Anand <anandkarancompsci@gmail.com>
Date: Tue, 18 Mar 2025 00:15:17 -0700
Subject: [PATCH 4/6] chore: apply suggestions from review

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: na
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 .../@stdlib/math/base/special/rempio2f/lib/main.js            | 2 +-
 .../@stdlib/math/base/special/rempio2f/test/test.js           | 4 ++--
 .../@stdlib/math/base/special/rempio2f/test/test.native.js    | 4 ++--
 3 files changed, 5 insertions(+), 5 deletions(-)

diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js
index b5a49236e49d..68e565116c53 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/main.js
@@ -18,7 +18,7 @@
 *
 * ## Notice
 *
-* The following copyright and license were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/9.3.0/lib/msun/src/e_rem_pio2.c}. The implementation follows the original, but has been modified for JavaScript.
+* The following copyright and license were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/e_rem_pio2f.c}. The implementation follows the original, but has been modified for JavaScript.
 *
 * ```text
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js
index 65a2121c8a33..afd61fce3234 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.js
@@ -235,7 +235,7 @@ tape( 'for huge positive input values, the function returns the last three binar
 	var n;
 	var i;
 
-	x = linspace( pow( 2.0, 60 )*PIO2, pow( 2.0, 1020 )*PIO2, 6000 );
+	x = linspace( pow( 2.0, 60 )*PIO2, pow( 2.0, 125 )*PIO2, 6000 );
 	y = [ 0.0 ];
 	for ( i = 0; i < x.length; i++ ) {
 		x[i] = float64ToFloat32( x[i] );
@@ -253,7 +253,7 @@ tape( 'for huge negative input values, the function returns the last three binar
 	var n;
 	var i;
 
-	x = linspace( -pow( 2.0, 60 )*PIO2, -pow( 2.0, 1020 )*PIO2, 6000 );
+	x = linspace( -pow( 2.0, 60 )*PIO2, -pow( 2.0, 125 )*PIO2, 6000 );
 	y = [ 0.0 ];
 	for ( i = 0; i < x.length; i++ ) {
 		x[i] = float64ToFloat32( x[i] );
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js
index 35702c569d1d..3e935a0bf446 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/test/test.native.js
@@ -245,7 +245,7 @@ tape( 'for huge positive input values, the function returns the last three binar
 	var n;
 	var i;
 
-	x = linspace( pow( 2.0, 60 )*PIO2, pow( 2.0, 1020 )*PIO2, 6000 );
+	x = linspace( pow( 2.0, 60 )*PIO2, pow( 2.0, 125 )*PIO2, 6000 );
 	y = new Float64Array( [ 0.0 ] );
 	for ( i = 0; i < x.length; i++ ) {
 		x[i] = float64ToFloat32( x[i] );
@@ -263,7 +263,7 @@ tape( 'for huge negative input values, the function returns the last three binar
 	var n;
 	var i;
 
-	x = linspace( -pow( 2.0, 60 )*PIO2, -pow( 2.0, 1020 )*PIO2, 6000 );
+	x = linspace( -pow( 2.0, 60 )*PIO2, -pow( 2.0, 125 )*PIO2, 6000 );
 	y = new Float64Array( [ 0.0 ] );
 	for ( i = 0; i < x.length; i++ ) {
 		x[i] = float64ToFloat32( x[i] );

From c5a33c66dc55d007a4604a028a02f97e02441265 Mon Sep 17 00:00:00 2001
From: Karan Anand <anandkarancompsci@gmail.com>
Date: Tue, 18 Mar 2025 09:33:03 -0700
Subject: [PATCH 5/6] fix: initialisation of jk

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: passed
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: na
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 .../@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js   | 2 +-
 lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c  | 2 +-
 2 files changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js
index a6c92d4d49a8..150d493508f4 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js
@@ -380,7 +380,7 @@ function kernelRempio2f( x, y, e0, nx ) {
 	var m;
 
 	// Initialize `jk` for double-precision floating-point numbers:
-	jk = 4;
+	jk = 3;
 
 	// Determine `jx`, `jv`, `q0` (note that `q0 < 3`):
 	jx = nx - 1;
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
index df5b8ebdd9dd..e003bb73f5c2 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
@@ -221,7 +221,7 @@ int32_t rempio2fKernel( const double* x, double *y, int32_t e0, int32_t nx ) {
 	double z;
 
 	// Initialize `jk` for double-precision floating-point numbers:
-	jk = 4;
+	jk = 3;
 	jp = jk;
 
 	// Determine `jx`, `jv`, `q0` (note that `q0 < 3`):

From 1aed4e0fde5ebc40bb4ec81b6c406d5af61db2d3 Mon Sep 17 00:00:00 2001
From: Karan Anand <anandkarancompsci@gmail.com>
Date: Tue, 18 Mar 2025 09:43:55 -0700
Subject: [PATCH 6/6] chore: fix comment for jk

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: passed
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: na
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 .../special/rempio2f/lib/kernel_rempio2f.js     | 17 ++++-------------
 .../math/base/special/rempio2f/src/main.c       | 17 ++++-------------
 2 files changed, 8 insertions(+), 26 deletions(-)

diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js
index 150d493508f4..c7e9dbb7c7ba 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/lib/kernel_rempio2f.js
@@ -52,20 +52,11 @@ var zeros = require( '@stdlib/array/base/zeros' );
 * \operatorname{ipio2}[i] \cdot 2^{-24(i+1)}
 * ```
 *
-* This table must have at least `(e0-3)/24 + jk` terms. For quad precision (`e0 <= 16360`, `jk = 6`), this is `686`.
+* This table must have at least `(e0-3)/24 + jk` terms. For single precision (`e0 <= 127`, `jk = 3`), this is `9`.
 */
 var IPIO2 = [
 	0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62,
-	0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A,
-	0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129,
-	0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41,
-	0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8,
-	0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF,
-	0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5,
-	0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08,
-	0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3,
-	0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880,
-	0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B
+	0x95993C, 0x439041, 0xFE5163
 ];
 
 // Double precision array, obtained by cutting `π/2` into `24` bits chunks...
@@ -364,7 +355,7 @@ function compute( x, y, jz, q, q0, jk, jv, jx, f ) {
 * @private
 * @param {PositiveNumber} x - input value
 * @param {(Array|TypedArray|Object)} y - remainder element
-* @param {PositiveInteger} e0 - the exponent of `x[0]` (must be <= 16360)
+* @param {PositiveInteger} e0 - the exponent of `x[0]` (must be <= 127)
 * @param {PositiveInteger} nx - dimension of `x[]`
 * @returns {number} last three binary digits of `N`
 */
@@ -379,7 +370,7 @@ function kernelRempio2f( x, y, e0, nx ) {
 	var j;
 	var m;
 
-	// Initialize `jk` for double-precision floating-point numbers:
+	// Initialize `jk` for single-precision floating-point numbers:
 	jk = 3;
 
 	// Determine `jx`, `jv`, `q0` (note that `q0 < 3`):
diff --git a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
index e003bb73f5c2..6291b52a4b7a 100644
--- a/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
+++ b/lib/node_modules/@stdlib/math/base/special/rempio2f/src/main.c
@@ -60,20 +60,11 @@ static const int32_t MEDIUM = 0x4dc90fdb;
 * \operatorname{ipio2}[i] \cdot 2^{-24(i+1)}
 * ```
 *
-* This table must have at least `(e0-3)/24 + jk` terms. For quad precision (`e0 <= 16360`, `jk = 6`), this is `686`.
+* This table must have at least `(e0-3)/24 + jk` terms. For single precision (`e0 <= 127`, `jk = 3`), this is `9`.
 */
 static const int32_t IPIO2[] = {
 	0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62,
-	0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A,
-	0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129,
-	0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41,
-	0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8,
-	0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF,
-	0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5,
-	0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08,
-	0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3,
-	0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880,
-	0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B
+	0x95993C, 0x439041, 0xFE5163
 };
 
 // Double precision array, obtained by cutting `π/2` into `24` bits chunks...
@@ -195,7 +186,7 @@ static const double PIO2[] = {
 *
 * @param x       input value
 * @param y       output array to store the remainder
-* @param e0      the exponent of `x[0]` (must be <= 16360)
+* @param e0      the exponent of `x[0]` (must be <= 127)
 * @param nx      dimension of `x[]`
 * @return        last 3 binary digits
 */
@@ -220,7 +211,7 @@ int32_t rempio2fKernel( const double* x, double *y, int32_t e0, int32_t nx ) {
 	double fw;
 	double z;
 
-	// Initialize `jk` for double-precision floating-point numbers:
+	// Initialize `jk` for single-precision floating-point numbers:
 	jk = 3;
 	jp = jk;