diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/LICENSE b/lib/node_modules/@stdlib/math/base/special/erfcf/LICENSE
new file mode 100644
index 000000000000..d9e0343f8e48
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/LICENSE
@@ -0,0 +1,199 @@
+
+
+ Apache License
+ Version 2.0, January 2004
+ http://www.apache.org/licenses/
+
+ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+ 1. Definitions.
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+ "License" shall mean the terms and conditions for use, reproduction,
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+ 5. Submission of Contributions. Unless You explicitly state otherwise,
+ any Contribution intentionally submitted for inclusion in the Work
+ by You to the Licensor shall be under the terms and conditions of
+ this License, without any additional terms or conditions.
+ Notwithstanding the above, nothing herein shall supersede or modify
+ the terms of any separate license agreement you may have executed
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+ 6. Trademarks. This License does not grant permission to use the trade
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+ 7. Disclaimer of Warranty. Unless required by applicable law or
+ agreed to in writing, Licensor provides the Work (and each
+ Contributor provides its Contributions) on an "AS IS" BASIS,
+ WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+ implied, including, without limitation, any warranties or conditions
+ of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+ PARTICULAR PURPOSE. You are solely responsible for determining the
+ appropriateness of using or redistributing the Work and assume any
+ risks associated with Your exercise of permissions under this License.
+
+ 8. Limitation of Liability. In no event and under no legal theory,
+ whether in tort (including negligence), contract, or otherwise,
+ unless required by applicable law (such as deliberate and grossly
+ negligent acts) or agreed to in writing, shall any Contributor be
+ liable to You for damages, including any direct, indirect, special,
+ incidental, or consequential damages of any character arising as a
+ result of this License or out of the use or inability to use the
+ Work (including but not limited to damages for loss of goodwill,
+ work stoppage, computer failure or malfunction, or any and all
+ other commercial damages or losses), even if such Contributor
+ has been advised of the possibility of such damages.
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+ 9. Accepting Warranty or Additional Liability. While redistributing
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+ END OF TERMS AND CONDITIONS
+
+DEPENDENCIES & ATTRIBUTION
+
+The library links against the following external libraries or contains
+implementations from the following external libraries, which have their own
+licenses:
+
+* FreeBSD
+
+Copyright (C) 1993-2004 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
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diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/README.md b/lib/node_modules/@stdlib/math/base/special/erfcf/README.md
new file mode 100644
index 000000000000..b85c902ea039
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/README.md
@@ -0,0 +1,234 @@
+
+
+# erfcf
+
+> [Complementary error function][complementary-error-function] for single-precision floating-point numbers.
+
+
+
+The [complementary error function][complementary-error-function] is defined as
+
+
+
+```math
+\operatorname{erfc}(x) = 1 - \operatorname{erf}(x) = \frac{2}{\sqrt{\pi}} \int_x^\infty e^{-t^2}\,\mathrm{d}t
+```
+
+
+
+
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var erfcf = require( '@stdlib/math/base/special/erfcf' );
+```
+
+#### erfcf( x )
+
+Evaluates the [complementary error function][complementary-error-function] for a single-precision floating-point number.
+
+```javascript
+var y = erfcf( 0.0 );
+// returns 1.0
+
+y = erfcf( 1.0 );
+// returns ~0.1573
+
+y = erfcf( -1.0 );
+// returns ~1.8427
+
+y = erfcf( Infinity );
+// returns 0.0
+
+y = erfcf( -Infinity );
+// returns 2.0
+
+y = erfcf( NaN );
+// returns NaN
+```
+
+
+
+
+
+
+
+## Notes
+
+- For very large positive `x`, the function approaches `0`, and for very large negative `x`, the function approaches `2`.
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var erfcf = require( '@stdlib/math/base/special/erfcf' );
+
+var opts = {
+ 'dtype': 'float32'
+};
+var x = uniform( 100, -5.0, 5.0, opts );
+
+logEachMap( 'erfcf(%0.4f) = %0.4f', x, erfcf );
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/erfcf.h"
+```
+
+#### stdlib_base_erfcf( x )
+
+Evaluates the [complementary error function][complementary-error-function] for a single-precision floating-point number.
+
+```c
+float out = stdlib_base_erfcf( 0.0f );
+// returns 1.0f
+
+out = stdlib_base_erfcf( 1.0f );
+// returns ~0.1573f
+```
+
+The function accepts the following arguments:
+
+- **x**: `[in] float` input value.
+
+```c
+float stdlib_base_erfcf( const float x );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/erfcf.h"
+#include
+
+int main( void ) {
+ const float x[] = { -3.0f, -2.0f, -1.0f, 0.0f, 1.0f, 2.0f, 3.0f, 5.0f };
+
+ float y;
+ int i;
+ for ( i = 0; i < 8; i++ ) {
+ y = stdlib_base_erfcf( x[ i ] );
+ printf( "erfcf(%f) = %f\n", x[ i ], y );
+ }
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[complementary-error-function]: https://en.wikipedia.org/wiki/Error_function
+
+
+
+[@stdlib/math/base/special/erfc]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/erfc
+
+[@stdlib/math/base/special/erff]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/erff
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/erfcf/benchmark/benchmark.js
new file mode 100644
index 000000000000..4d8dc4c11efc
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/benchmark/benchmark.js
@@ -0,0 +1,62 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pkg = require( './../package.json' ).name;
+var erfcf = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, benchmark );
+
+/**
+* Benchmark function.
+*
+* @private
+* @param {Object} b - benchmark instance
+*/
+function benchmark( b ) {
+ var opts = {
+ 'dtype': 'float32'
+ };
+ var x;
+ var y;
+ var i;
+ x = uniform( 100, -5.0, 5.0, opts );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = erfcf( x[ i%x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/erfcf/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..2864d57cb09b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/benchmark/benchmark.native.js
@@ -0,0 +1,72 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var erfcf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( erfcf instanceof Error )
+};
+
+
+// MAIN //
+
+bench( format( '%s::native', pkg ), opts, benchmark );
+
+/**
+* Benchmark function.
+*
+* @private
+* @param {Object} b - benchmark instance
+*/
+function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = uniform( 100, -5.0, 5.0, {
+ 'dtype': 'float32'
+ });
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = erfcf( x[ i%x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/erfcf/benchmark/c/Makefile
new file mode 100644
index 000000000000..ff0ad2332400
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/benchmark/c/Makefile
@@ -0,0 +1,126 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+else
+ QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+ CC := $(C_COMPILER)
+else
+ CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+ -std=c99 \
+ -O3 \
+ -Wall \
+ -pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+ fPIC ?=
+else
+ fPIC ?= -fPIC
+endif
+
+# List of C targets:
+c_targets := benchmark.out
+
+
+# RULES #
+
+#/
+# Compiles C source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag indicating whether to generate position independent code (e.g., `-fPIC`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler
+# @param {string} CFLAGS - C compiler flags
+# @param {(string|void)} fPIC - compiler flag indicating whether to generate position independent code
+#/
+$(c_targets): %.out: %.c
+ $(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $< -lm
+
+#/
+# Runs compiled benchmarks.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+ $(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+ $(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/erfcf/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..f499ac95a799
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/benchmark/c/benchmark.c
@@ -0,0 +1,142 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+#include
+#include
+#include
+#include
+#include
+
+#define NAME "erfcf"
+#define ITERATIONS 1000000
+#define REPEATS 3
+
+/**
+* Define prototypes for local functions.
+*/
+static void print_version( void );
+static void print_summary( int total, int passing );
+static void print_results( double elapsed );
+static double tic( void );
+static float rand_float( void );
+static double benchmark( void );
+
+/**
+* Prints the TAP version.
+*/
+static void print_version( void ) {
+ printf( "TAP version 13\n" );
+}
+
+/**
+* Prints the TAP summary.
+*
+* @param total total number of tests
+* @param passing total number of passing tests
+*/
+static void print_summary( int total, int passing ) {
+ printf( "#\n" );
+ printf( "1..%d\n", total ); // TAP plan
+ printf( "# total %d\n", total );
+ printf( "# pass %d\n", passing );
+ printf( "#\n" );
+ printf( "# ok\n" );
+}
+
+/**
+* Prints benchmarks results.
+*
+* @param elapsed elapsed time in seconds
+*/
+static void print_results( double elapsed ) {
+ double rate = (double)ITERATIONS / elapsed;
+ printf( " ---\n" );
+ printf( " iterations: %d\n", ITERATIONS );
+ printf( " elapsed: %0.9f\n", elapsed );
+ printf( " rate: %0.9f\n", rate );
+ printf( " ...\n" );
+}
+
+/**
+* Returns a clock time.
+*
+* @return clock time
+*/
+static double tic( void ) {
+ struct timeval now;
+ gettimeofday( &now, NULL );
+ return (double)now.tv_sec + (double)now.tv_usec/1.0e6;
+}
+
+/**
+* Generates a random number on the interval [0,1).
+*
+* @return random number
+*/
+static float rand_float( void ) {
+ int r = rand();
+ return (float)r / ( (float)RAND_MAX + 1.0f );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+ double elapsed;
+ float x;
+ float y;
+ double t;
+ int i;
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ x = ( rand_float() * 10.0f ) - 5.0f;
+ y = erfcf( x );
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ }
+ return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+ double elapsed;
+ int i;
+
+ // Use the current time to seed the random number generator:
+ srand( time( NULL ) );
+
+ print_version();
+ for ( i = 0; i < REPEATS; i++ ) {
+ printf( "# c::%s\n", NAME );
+ elapsed = benchmark();
+ print_results( elapsed );
+ printf( "ok %d benchmark finished\n", i+1 );
+ }
+ print_summary( REPEATS, REPEATS );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/binding.gyp b/lib/node_modules/@stdlib/math/base/special/erfcf/binding.gyp
new file mode 100644
index 000000000000..0d6508a12e99
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/binding.gyp
@@ -0,0 +1,170 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2026 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/erfcf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/erfcf/docs/repl.txt
new file mode 100644
index 000000000000..b5aefd377e40
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/docs/repl.txt
@@ -0,0 +1,36 @@
+
+{{alias}}( x )
+ Evaluates the complementary error function for a single-precision
+ floating-point number.
+
+ The complementary error function is defined as
+
+ erfc(x) = 1 - erf(x) = (2/√π) ∫_x^∞ exp(-t²) dt
+
+ Parameters
+ ----------
+ x: number
+ Input value.
+
+ Returns
+ -------
+ y: number
+ Function value.
+
+ Examples
+ --------
+ > var y = {{alias}}( 0.0 )
+ 1.0
+ > y = {{alias}}( 1.0 )
+ ~0.1573
+ > y = {{alias}}( -1.0 )
+ ~1.8427
+ > y = {{alias}}( {{alias:@stdlib/constants/float32/pinf}} )
+ 0.0
+ > y = {{alias}}( {{alias:@stdlib/constants/float64/ninf}} )
+ 2.0
+ > y = {{alias}}( NaN )
+ NaN
+
+ See Also
+ --------
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/erfcf/docs/types/index.d.ts
new file mode 100644
index 000000000000..66b3567e3c59
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/docs/types/index.d.ts
@@ -0,0 +1,64 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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
+
+/**
+* Evaluates the complementary error function for a single-precision floating-point number.
+*
+* ## Notes
+*
+* - The complementary error function is defined as
+*
+* ```tex
+* \operatorname{erfc}(x) = 1 - \operatorname{erf}(x) = \frac{2}{\sqrt{\pi}} \int_x^\infty e^{-t^2}\,\mathrm{d}t
+* ```
+*
+* @param x - input value
+* @returns function value
+*
+* @example
+* var y = erfcf( 0.0 );
+* // returns 1.0
+*
+* @example
+* var y = erfcf( 1.0 );
+* // returns ~0.1573
+*
+* @example
+* var y = erfcf( -1.0 );
+* // returns ~1.8427
+*
+* @example
+* var y = erfcf( Infinity );
+* // returns 0.0
+*
+* @example
+* var y = erfcf( -Infinity );
+* // returns 2.0
+*
+* @example
+* var y = erfcf( NaN );
+* // returns NaN
+*/
+declare function erfcf( x: number ): number;
+
+
+// EXPORTS //
+
+export = erfcf;
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/erfcf/docs/types/test.ts
new file mode 100644
index 000000000000..d89748539a38
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/docs/types/test.ts
@@ -0,0 +1,44 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import erfcf = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ erfcf( 8 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+ erfcf( true ); // $ExpectError
+ erfcf( false ); // $ExpectError
+ erfcf( null ); // $ExpectError
+ erfcf( undefined ); // $ExpectError
+ erfcf( '5' ); // $ExpectError
+ erfcf( [] ); // $ExpectError
+ erfcf( {} ); // $ExpectError
+ erfcf( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+ erfcf(); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/erfcf/examples/c/Makefile
new file mode 100644
index 000000000000..c8f8e9a1517b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/examples/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 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/erfcf/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/erfcf/examples/c/example.c
new file mode 100644
index 000000000000..98410d02e1bf
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/examples/c/example.c
@@ -0,0 +1,31 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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/erfcf.h"
+#include
+
+int main( void ) {
+ const float x[] = { -3.0f, -2.0f, -1.0f, 0.0f, 1.0f, 2.0f, 3.0f, 5.0f };
+
+ float y;
+ int i;
+ for ( i = 0; i < 8; i++ ) {
+ y = stdlib_base_erfcf( x[ i ] );
+ printf( "erfcf(%f) = %f\n", x[ i ], y );
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/erfcf/examples/index.js
new file mode 100644
index 000000000000..019be5a30dfe
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/examples/index.js
@@ -0,0 +1,30 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var erfcf = require( './../lib' );
+
+var opts = {
+ 'dtype': 'float32'
+};
+var x = uniform( 100, -5.0, 5.0, opts );
+
+logEachMap( 'erfcf(%0.4f) = %0.4f', x, erfcf );
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/include.gypi b/lib/node_modules/@stdlib/math/base/special/erfcf/include.gypi
new file mode 100644
index 000000000000..bee8d41a2caf
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/include.gypi
@@ -0,0 +1,53 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2026 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': [
+ '= 0x7f800000 ) {
+ // ((hx >>> 31) << 1) gives 0 for positive, 2 for negative
+ // ONE/x gives: 1/NaN=NaN, 1/+Inf=0, 1/-Inf=-0
+ return f32( f32( ((hx >>> 31) << 1) ) + f32( ONE / x ) );
+ }
+
+ // Case: |x| < 0.84375
+ if ( ix < 0x3f580000 ) { // 0x3f580000 is the float32 representation of 0.84375
+ // Case: |x| < 2**-24
+ if ( ix < 0x33800000 ) {
+ return f32( ONE - x );
+ }
+ z = f32( x * x );
+ r = f32( polyvalPP( z ) );
+ s = f32( polyvalQQ( z ) );
+ y = f32( r / s );
+ if ( hx < 0x3e800000 ) {
+ // Case: x < 1/4
+ return f32( ONE - f32( x + f32( x * y ) ) );
+ }
+ r = f32( x * y );
+ r = f32( r + f32( x - HALF ) );
+ return f32( HALF - r );
+ }
+
+ // Case: 0.84375 <= |x| < 1.25
+ if ( ix < 0x3fa00000 ) {
+ ax = absf( x );
+ s = f32( f32( ax ) - ONE );
+ P = f32( polyvalPA( s ) );
+ Q = f32( polyvalQA( s ) );
+ if ( hx >= 0 ) {
+ z = f32( ONE - ERX );
+ return f32( z - f32( P / Q ) );
+ }
+ z = f32( ERX + f32( P / Q ) );
+ return f32( ONE + z );
+ }
+
+ // Case: |x| < 11
+ if ( ix < 0x41300000 ) {
+ ax = absf( x );
+ ax = f32( ax );
+ s = f32( ONE / f32( ax * ax ) );
+
+ // Case: |x| < 2.85715 ~ 1/0.35
+ if ( ix < 0x4036db8c ) {
+ R = f32( polyvalRA( s ) );
+ S = f32( polyvalSA( s ) );
+ } else {
+ // Case: x < -5
+ if ( hx < 0 && ix >= 0x40a00000 ) {
+ return TWO-TINY;
+ }
+ R = f32( polyvalRB( s ) );
+ S = f32( polyvalSB( s ) );
+ }
+
+ z = f32( fromWordf( (hx & 0xffffe000) >>> 0 ) );
+ xm2 = f32( f32( z - ax ) * f32( z + ax ) );
+ r = f32( exp( f32( f32( f32( -z * z ) - f32( 0.5625 ) ) +
+ f32( xm2 + f32( R / S ) ) ) ) );
+
+ if ( hx > 0 ) {
+ r = f32( r / ax );
+ return r;
+ }
+ return f32( TWO - f32( r / ax ) );
+ }
+ // Case: |x| >= 11
+ if ( hx > 0 ) {
+ return TINY * TINY;
+ }
+ return TWO - TINY;
+}
+
+
+// EXPORTS //
+
+module.exports = erfcf;
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/lib/native.js b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/native.js
new file mode 100644
index 000000000000..dadc71f5309e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/native.js
@@ -0,0 +1,59 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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 //
+
+/**
+* Evaluates the complementary error function for a single-precision floating-point number.
+*
+* @private
+* @param {number} x - input value
+* @returns {number} function value
+*
+* @example
+* var y = erfcf( 0.0 );
+* // returns 1.0
+*
+* @example
+* var y = erfcf( 1.0 );
+* // returns ~0.1573
+*
+* @example
+* var y = erfcf( -1.0 );
+* // returns ~1.8427
+*
+* @example
+* var y = erfcf( NaN );
+* // returns NaN
+*/
+function erfcf( x )
+{
+ return addon( x );
+}
+
+
+// EXPORTS //
+
+module.exports = erfcf;
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_pa.js b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_pa.js
new file mode 100644
index 000000000000..ba588077d865
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_pa.js
@@ -0,0 +1,52 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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.
+*/
+
+/* This is a generated file. Do not edit directly. */
+'use strict';
+
+// MODULES //
+
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+
+
+// MAIN //
+
+/**
+* Evaluates a polynomial.
+*
+* ## Notes
+*
+* - The implementation uses [Horner's rule][horners-method] for efficient computation.
+*
+* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method
+*
+* @private
+* @param {number} x - value at which to evaluate the polynomial
+* @returns {number} evaluated polynomial
+*/
+function evalpoly( x ) {
+ if ( x === 0.0 ) {
+ return f32( 3.65041046e-06 );
+ }
+ return f32( 3.65041046e-06 + f32( x * f32( 4.15109307e-01 + f32( x * f32( -2.09395722e-01 + f32( x * 8.67677554e-02 ) ) ) ) ) ); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_pp.js b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_pp.js
new file mode 100644
index 000000000000..229853b4972a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_pp.js
@@ -0,0 +1,52 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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.
+*/
+
+/* This is a generated file. Do not edit directly. */
+'use strict';
+
+// MODULES //
+
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+
+
+// MAIN //
+
+/**
+* Evaluates a polynomial.
+*
+* ## Notes
+*
+* - The implementation uses [Horner's rule][horners-method] for efficient computation.
+*
+* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method
+*
+* @private
+* @param {number} x - value at which to evaluate the polynomial
+* @returns {number} evaluated polynomial
+*/
+function evalpoly( x ) {
+ if ( x === 0.0 ) {
+ return f32( 1.28379166e-01 );
+ }
+ return f32( 1.28379166e-01 + f32( x * f32( -3.36030394e-01 + f32( x * -1.86261395e-03 ) ) ) ); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_qa.js b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_qa.js
new file mode 100644
index 000000000000..a1a0e40a8774
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_qa.js
@@ -0,0 +1,52 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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.
+*/
+
+/* This is a generated file. Do not edit directly. */
+'use strict';
+
+// MODULES //
+
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+
+
+// MAIN //
+
+/**
+* Evaluates a polynomial.
+*
+* ## Notes
+*
+* - The implementation uses [Horner's rule][horners-method] for efficient computation.
+*
+* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method
+*
+* @private
+* @param {number} x - value at which to evaluate the polynomial
+* @returns {number} evaluated polynomial
+*/
+function evalpoly( x ) {
+ if ( x === 0.0 ) {
+ return f32( 1.0 );
+ }
+ return f32( 1.0 + f32( x * f32( 4.95560974e-01 + f32( x * f32( 3.71248513e-01 + f32( x * 3.92478965e-02 ) ) ) ) ) ); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_qq.js b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_qq.js
new file mode 100644
index 000000000000..cffc6396f32e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_qq.js
@@ -0,0 +1,52 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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.
+*/
+
+/* This is a generated file. Do not edit directly. */
+'use strict';
+
+// MODULES //
+
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+
+
+// MAIN //
+
+/**
+* Evaluates a polynomial.
+*
+* ## Notes
+*
+* - The implementation uses [Horner's rule][horners-method] for efficient computation.
+*
+* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method
+*
+* @private
+* @param {number} x - value at which to evaluate the polynomial
+* @returns {number} evaluated polynomial
+*/
+function evalpoly( x ) {
+ if ( x === 0.0 ) {
+ return f32( 1.0 );
+ }
+ return f32( 1.0 + f32( x * f32( 3.12324315e-01 + f32( x * f32( 2.16070414e-02 + f32( x * -1.98859372e-03 ) ) ) ) ) ); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_ra.js b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_ra.js
new file mode 100644
index 000000000000..344c89f04f53
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_ra.js
@@ -0,0 +1,52 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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.
+*/
+
+/* This is a generated file. Do not edit directly. */
+'use strict';
+
+// MODULES //
+
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+
+
+// MAIN //
+
+/**
+* Evaluates a polynomial.
+*
+* ## Notes
+*
+* - The implementation uses [Horner's rule][horners-method] for efficient computation.
+*
+* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method
+*
+* @private
+* @param {number} x - value at which to evaluate the polynomial
+* @returns {number} evaluated polynomial
+*/
+function evalpoly( x ) {
+ if ( x === 0.0 ) {
+ return f32( -9.88156721e-03 );
+ }
+ return f32( -9.88156721e-03 + f32( x * f32( -5.43658376e-01 + f32( x * f32( -1.66828310e+00 + f32( x * -6.91554189e-01 ) ) ) ) ) ); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_rb.js b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_rb.js
new file mode 100644
index 000000000000..03154540eab4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_rb.js
@@ -0,0 +1,52 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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.
+*/
+
+/* This is a generated file. Do not edit directly. */
+'use strict';
+
+// MODULES //
+
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+
+
+// MAIN //
+
+/**
+* Evaluates a polynomial.
+*
+* ## Notes
+*
+* - The implementation uses [Horner's rule][horners-method] for efficient computation.
+*
+* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method
+*
+* @private
+* @param {number} x - value at which to evaluate the polynomial
+* @returns {number} evaluated polynomial
+*/
+function evalpoly( x ) {
+ if ( x === 0.0 ) {
+ return f32( -9.86496918e-03 );
+ }
+ return f32( -9.86496918e-03 + f32( x * f32( -5.48049808e-01 + f32( x * -1.84115684e+00 ) ) ) ); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_sa.js b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_sa.js
new file mode 100644
index 000000000000..8a1be0a4dc5a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_sa.js
@@ -0,0 +1,52 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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.
+*/
+
+/* This is a generated file. Do not edit directly. */
+'use strict';
+
+// MODULES //
+
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+
+
+// MAIN //
+
+/**
+* Evaluates a polynomial.
+*
+* ## Notes
+*
+* - The implementation uses [Horner's rule][horners-method] for efficient computation.
+*
+* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method
+*
+* @private
+* @param {number} x - value at which to evaluate the polynomial
+* @returns {number} evaluated polynomial
+*/
+function evalpoly( x ) {
+ if ( x === 0.0 ) {
+ return f32( 1.0 );
+ }
+ return f32( 1.0 + f32( x * f32( 4.48581553e+00 + f32( x * f32( 4.10799170e+00 + f32( x * 5.53855181e-01 ) ) ) ) ) ); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_sb.js b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_sb.js
new file mode 100644
index 000000000000..3028304ff212
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/lib/polyval_sb.js
@@ -0,0 +1,52 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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.
+*/
+
+/* This is a generated file. Do not edit directly. */
+'use strict';
+
+// MODULES //
+
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+
+
+// MAIN //
+
+/**
+* Evaluates a polynomial.
+*
+* ## Notes
+*
+* - The implementation uses [Horner's rule][horners-method] for efficient computation.
+*
+* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method
+*
+* @private
+* @param {number} x - value at which to evaluate the polynomial
+* @returns {number} evaluated polynomial
+*/
+function evalpoly( x ) {
+ if ( x === 0.0 ) {
+ return f32( 1.0 );
+ }
+ return f32( 1.0 + f32( x * f32( 4.87132740e+00 + f32( x * f32( 3.04982710e+00 + f32( x * -7.61900663e-01 ) ) ) ) ) ); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/manifest.json b/lib/node_modules/@stdlib/math/base/special/erfcf/manifest.json
new file mode 100644
index 000000000000..9c6d0ff6c0fc
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/manifest.json
@@ -0,0 +1,78 @@
+{
+ "options": {
+ "task": "build"
+ },
+ "fields": [
+ {
+ "field": "src",
+ "resolve": true,
+ "relative": true
+ },
+ {
+ "field": "include",
+ "resolve": true,
+ "relative": true
+ },
+ {
+ "field": "libraries",
+ "resolve": false,
+ "relative": false
+ },
+ {
+ "field": "libpath",
+ "resolve": true,
+ "relative": false
+ }
+ ],
+ "confs": [
+ {
+ "task": "build",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/math/base/napi/unary",
+ "@stdlib/number/float32/base/to-word",
+ "@stdlib/math/base/special/exp",
+ "@stdlib/math/base/special/absf"
+ ]
+ },
+ {
+ "task": "benchmark",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/number/float32/base/to-word",
+ "@stdlib/math/base/special/exp",
+ "@stdlib/math/base/special/absf"
+ ]
+ },
+ {
+ "task": "examples",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/number/float32/base/to-word",
+ "@stdlib/math/base/special/exp",
+ "@stdlib/math/base/special/absf"
+ ]
+ }
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/package.json b/lib/node_modules/@stdlib/math/base/special/erfcf/package.json
new file mode 100644
index 000000000000..5a948b3048c9
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/package.json
@@ -0,0 +1,148 @@
+{
+ "name": "@stdlib/math/base/special/erfcf",
+ "version": "0.0.0",
+ "description": "Complementary error function for single-precision floating-point numbers.",
+ "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",
+ "erf",
+ "erfc",
+ "erfcf",
+ "complementary",
+ "error",
+ "function",
+ "special",
+ "float",
+ "float32",
+ "single",
+ "precision"
+ ],
+ "__stdlib__": {
+ "scaffold": {
+ "$schema": "math/base@v1.0",
+ "base_alias": "erfc",
+ "alias": "erfcf",
+ "pkg_desc": "evaluate the complementary error function for a single-precision floating-point number",
+ "desc": "evaluates the complementary error function for a single-precision floating-point number",
+ "short_desc": "complementary error function",
+ "parameters": [
+ {
+ "name": "x",
+ "desc": "input value",
+ "type": {
+ "javascript": "number",
+ "jsdoc": "number",
+ "c": "float",
+ "dtype": "float32"
+ },
+ "domain": [
+ {
+ "min": "-infinity",
+ "max": "infinity"
+ }
+ ],
+ "rand": {
+ "prng": "random/base/uniform",
+ "parameters": [
+ -5,
+ 5
+ ]
+ },
+ "example_values": [
+ 0,
+ 0.5,
+ 1,
+ -1,
+ 2,
+ -2,
+ 3,
+ -3,
+ 0.1,
+ -0.1,
+ 0.25,
+ -0.25,
+ 1.5,
+ -1.5,
+ 2.5,
+ -2.5,
+ 4,
+ -4,
+ 5,
+ -5
+ ]
+ }
+ ],
+ "output_policy": "real_floating_point_and_generic",
+ "returns": {
+ "desc": "function value",
+ "type": {
+ "javascript": "number",
+ "jsdoc": "number",
+ "c": "float",
+ "dtype": "float32"
+ }
+ },
+ "keywords": [
+ "erf",
+ "erfc",
+ "erfcf",
+ "complementary",
+ "error",
+ "function",
+ "special"
+ ],
+ "extra_keywords": []
+ }
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/src/Makefile b/lib/node_modules/@stdlib/math/base/special/erfcf/src/Makefile
new file mode 100644
index 000000000000..2caf905cedbe
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/src/Makefile
@@ -0,0 +1,70 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 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/erfcf/src/addon.c b/lib/node_modules/@stdlib/math/base/special/erfcf/src/addon.c
new file mode 100644
index 000000000000..ab38672a42c5
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/src/addon.c
@@ -0,0 +1,22 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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/erfcf.h"
+#include "stdlib/math/base/napi/unary.h"
+
+STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_erfcf )
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/src/main.c b/lib/node_modules/@stdlib/math/base/special/erfcf/src/main.c
new file mode 100644
index 000000000000..9021f9405701
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/src/main.c
@@ -0,0 +1,236 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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/s_erff.c}. The implementation follows the original, but has been modified according to stdlib 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/erfcf.h"
+#include "stdlib/math/base/special/exp.h"
+#include "stdlib/math/base/special/absf.h"
+#include "stdlib/number/float32/base/to_word.h"
+#include
+#include
+
+static const float tiny = 1.0e-30f;
+static const float half = 0.5f;
+static const float one = 1.0f;
+static const float two = 2.0f;
+
+// 0x3f57bb00
+static const float erx = 8.42697144e-01f;
+
+// Polynomial coefficients for domain [0, 0.84375]:
+static const float pp0 = 1.28379166e-01f; // 0x3e0375d4
+static const float pp1 = -3.36030394e-01f; // 0xbeac0c2d
+static const float pp2 = -1.86261395e-03f; // 0xbaf422f4
+static const float qq1 = 3.12324315e-01f; // 0x3e9fe8f9
+static const float qq2 = 2.16070414e-02f; // 0x3cb10140
+static const float qq3 = -1.98859372e-03f; // 0xbb025311
+
+// Polynomial coefficients for domain [0.84375, 1.25]:
+static const float pa0 = 3.65041046e-06f; // 0x3674f993
+static const float pa1 = 4.15109307e-01f; // 0x3ed48935
+static const float pa2 = -2.09395722e-01f; // 0xbe566bd5
+static const float pa3 = 8.67677554e-02f; // 0x3db1b34b
+static const float qa1 = 4.95560974e-01f; // 0x3efdba2b
+static const float qa2 = 3.71248513e-01f; // 0x3ebe1449
+static const float qa3 = 3.92478965e-02f; // 0x3d20c267
+
+// Polynomial coefficients for domain [1.25, 1/0.35]:
+static const float ra0 = -9.88156721e-03f; // 0xbc21e64c
+static const float ra1 = -5.43658376e-01f; // 0xbf0b2d32
+static const float ra2 = -1.66828310e+00f; // 0xbfd58a4d
+static const float ra3 = -6.91554189e-01f; // 0xbf3109b2
+static const float sa1 = 4.48581553e+00f; // 0x408f8bcd
+static const float sa2 = 4.10799170e+00f; // 0x408374ab
+static const float sa3 = 5.53855181e-01f; // 0x3f0dc974
+
+// Polynomial coefficients for domain [2.85715, 11]:
+static const float rb0 = -9.86496918e-03f; // 0xbc21a0ae
+static const float rb1 = -5.48049808e-01f; // 0xbf0c4cfe
+static const float rb2 = -1.84115684e+00f; // 0xbfebab07
+static const float sb1 = 4.87132740e+00f; // 0x409be1ea
+static const float sb2 = 3.04982710e+00f; // 0x4043305e
+static const float sb3 = -7.61900663e-01f; // 0xbf430bec
+
+/**
+* Evaluates the complementary error function for a single-precision floating-point number.
+*
+* ## Method
+*
+* 1. For \\( x \in [0, 0.84375] \\), we use the approximation
+*
+* ```tex
+* \operatorname{erfc}(x) = 1 - \operatorname{erf}(x) = 1 - x \cdot \frac{P(x^2)}{Q(x^2)}
+* ```
+*
+* where \\( P \\) and \\( Q \\) are polynomials (pp and qq).
+*
+* 2. For \\( x \in [0.84375, 1.25] \\), we use the approximation
+*
+* ```tex
+* \operatorname{erfc}(x) = 1 - \operatorname{erf}(x) = 1 - \operatorname{erx} - \frac{P(x-1)}{Q(x-1)}
+* ```
+*
+* where \\( P \\) and \\( Q \\) are polynomials (pa and qa).
+*
+* 3. For \\( x \in [1.25, 11] \\), we use the approximation
+*
+* ```tex
+* \operatorname{erfc}(x) = \frac{1}{x} e^{-x^2 - 0.5625 + \frac{R(1/x^2)}{S(1/x^2)}}
+* ```
+*
+* where \\( R \\) and \\( S \\) are rational functions (ra/sa for x < 2.85715, rb/sb for x >= 2.85715).
+*
+* 4. For \\( x \geq 11 \\), we use the approximation
+*
+* ```tex
+* \operatorname{erfc}(x) = 0
+* ```
+*
+* ## Notes
+*
+* - Relative error:
+* - \\( |x| < 0.84375 \\): \\( 2^{-31} \\)
+* - \\( 0.84375 \leq |x| < 1.25 \\): \\( 2^{-31} \\)
+* - \\( 1.25 \leq |x| < 2.85715 \\): \\( 2^{-30} \\)
+* - \\( 2.85715 \leq |x| < 11 \\): \\( 2^{-30} \\)
+*
+* @param x input value
+* @return function value
+*
+* @example
+* float y = stdlib_base_erfcf( 0.0f );
+* // returns 1.0f
+*
+* @example
+* float y = stdlib_base_erfcf( 1.0f );
+* // returns ~0.1573f
+*/
+float stdlib_base_erfcf( const float x )
+{
+ stdlib_base_float32_word_t wx;
+ float R;
+ float S;
+ float P;
+ float Q;
+ float s;
+ float y;
+ float z;
+ float r;
+ int32_t hx;
+ int32_t ix;
+
+ // Handle NaN:
+ if ( x != x )
+ {
+ return x;
+ }
+
+ wx.value = x;
+ hx = (int32_t)wx.word;
+ ix = hx & 0x7fffffff;
+
+ // Case: |x| < 0.84375
+ if ( ix < 0x3f580000 )
+ {
+ // Case: |x| < 2**-24
+ if ( ix < 0x33800000 )
+ {
+ return one - x;
+ }
+ z = x * x;
+ r = pp0 + ( z * ( pp1 + ( z * pp2 ) ) );
+ s = one + ( z * ( qq1 + ( z * ( qq2 + ( z * qq3 ) ) ) ) );
+ y = r / s;
+ if ( hx < 0x3e800000 )
+ {
+ // Case: x < 1/4
+ return one - ( x + ( x * y ) );
+ }
+ r = x * y;
+ r += ( x - half );
+ return half - r;
+ }
+ // Case: 0.84375 <= |x| < 1.25
+ if ( ix < 0x3fa00000 )
+ {
+ s = stdlib_base_absf( x ) - one;
+ P = pa0 + ( s * ( pa1 + ( s * ( pa2 + ( s * pa3 ) ) ) ) );
+ Q = one + ( s * ( qa1 + ( s * ( qa2 + ( s * qa3 ) ) ) ) );
+ if ( hx >= 0 )
+ {
+ z = one - erx;
+ return z - ( P / Q );
+ }
+ z = erx + ( P / Q );
+ return one + z;
+ }
+ // Case: |x| < 11
+ if ( ix < 0x41300000 )
+ {
+ float ax;
+ float xm2;
+
+ ax = stdlib_base_absf( x );
+ s = one / ( ax * ax );
+
+ // Case: |x| < 2.85715 ~ 1/0.35
+ if ( ix < 0x4036db8c )
+ {
+ R = ra0 + ( s * ( ra1 + ( s * ( ra2 + ( s * ra3 ) ) ) ) );
+ S = one + ( s * ( sa1 + ( s * ( sa2 + ( s * sa3 ) ) ) ) );
+ }
+ else
+ {
+ // Case: x < -5
+ if ( hx < 0 && ix >= 0x40a00000 )
+ {
+ return two - tiny;
+ }
+ R = rb0 + ( s * ( rb1 + ( s * rb2 ) ) );
+ S = one + ( s * ( sb1 + ( s * ( sb2 + ( s * sb3 ) ) ) ) );
+ }
+ wx.word = (uint32_t)( hx & 0xffffe000 );
+ z = wx.value;
+ xm2 = ( z - ax ) * ( z + ax );
+ r = (float)stdlib_base_exp( (double)( ( -z * z ) - 0.5625 + xm2 + ( R / S ) ) );
+ if ( hx > 0 )
+ {
+ return r / ax;
+ }
+ return two - ( r / ax );
+ }
+ // Case: |x| >= 11
+ if ( hx > 0 )
+ {
+ return tiny*tiny;
+ }
+ return two-tiny;
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/test/test.js b/lib/node_modules/@stdlib/math/base/special/erfcf/test/test.js
new file mode 100644
index 000000000000..2f936dd62aa1
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/test/test.js
@@ -0,0 +1,179 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var absf = require( '@stdlib/math/base/special/absf' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var erfc = require( '@stdlib/math/base/special/erfc' );
+var erfcf = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof erfcf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function returns `1.0` if provided `0`', function test( t )
+{
+ var y = erfcf( 0.0 );
+ t.strictEqual( y, 1.0, 'returns 1.0' );
+ t.end();
+});
+
+tape( 'the function returns `0.0` if provided `+infinity`', function test( t ) {
+ var y = erfcf( PINF );
+ t.strictEqual( y, 0.0, 'returns 0.0' );
+ t.end();
+});
+
+tape( 'the function returns `2.0` if provided `-infinity`', function test( t ) {
+ var y = erfcf( NINF );
+ t.strictEqual( y, 2.0, 'returns 2.0' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', function test( t ) {
+ var y = erfcf( NaN );
+ t.strictEqual( isnanf( y ), true, 'returns NaN' );
+ t.end();
+});
+
+tape( 'the function evaluates the complementary error function (positive values)', function test( t ) {
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var e;
+
+ // Test against the double-precision reference implementation:
+ x = f32( 0.5 );
+ y = erfcf( x );
+ e = f32( erfc( x ) );
+ delta = absf( y - e );
+ tol = f32( 2.0 * EPS * absf( e ) );
+ t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x+'. y: '+y+'. E: '+e+'. tol: '+tol+'. delta: '+delta+'.' );
+
+ x = f32( 1.0 );
+ y = erfcf( x );
+ e = f32( erfc( x ) );
+ delta = absf( y - e );
+ tol = f32( 2.0 * EPS * absf( e ) );
+ t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x+'. y: '+y+'. E: '+e+'. tol: '+tol+'. delta: '+delta+'.' );
+
+ x = f32( 2.0 );
+ y = erfcf( x );
+ e = f32( erfc( x ) );
+ delta = absf( y - e );
+ tol = f32( 5.0 * EPS * absf( e ) );
+ t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x+'. y: '+y+'. E: '+e+'. tol: '+tol+'. delta: '+delta+'.' );
+
+ x = f32( 3.0 );
+ y = erfcf( x );
+ e = f32( erfc( x ) );
+ delta = absf( y - e );
+ tol = f32( 10.0 * EPS * absf( e ) );
+ t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x+'. y: '+y+'. E: '+e+'. tol: '+tol+'. delta: '+delta+'.' );
+
+ t.end();
+});
+
+tape( 'the function evaluates the complementary error function (negative values)', function test( t ) {
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var e;
+
+ // Test against the double-precision reference implementation:
+ x = f32( -0.5 );
+ y = erfcf( x );
+ e = f32( erfc( x ) );
+ delta = absf( y - e );
+ tol = f32( 2.0 * EPS * absf( e ) );
+ t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x+'. y: '+y+'. E: '+e+'. tol: '+tol+'. delta: '+delta+'.' );
+
+ x = f32( -1.0 );
+ y = erfcf( x );
+ e = f32( erfc( x ) );
+ delta = absf( y - e );
+ tol = f32( 2.0 * EPS * absf( e ) );
+ t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x+'. y: '+y+'. E: '+e+'. tol: '+tol+'. delta: '+delta+'.' );
+
+ x = f32( -2.0 );
+ y = erfcf( x );
+ e = f32( erfc( x ) );
+ delta = absf( y - e );
+ tol = f32( 2.0 * EPS * absf( e ) );
+ t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x+'. y: '+y+'. E: '+e+'. tol: '+tol+'. delta: '+delta+'.' );
+
+ t.end();
+});
+
+tape( 'the function evaluates the complementary error function (very small positive values)', function test( t ) {
+ var x;
+ var y;
+ var e;
+
+ x = f32( 1.0e-10 );
+ y = erfcf( x );
+ e = f32( erfc( x ) );
+ t.strictEqual( absf( y - e ) < f32( 1.0e-15 ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function evaluates the complementary error function (large positive values)', function test( t ) {
+ var x;
+ var y;
+
+ x = f32( 10.0 );
+ y = erfcf( x );
+ t.strictEqual( y < f32( 1.0e-30 ), true, 'returns value very close to 0' );
+
+ x = f32( 100.0 );
+ y = erfcf( x );
+ t.strictEqual( y < f32( 1.0e-30 ), true, 'returns value very close to 0' );
+
+ t.end();
+});
+
+tape( 'the function evaluates the complementary error function (large negative values)', function test( t ) {
+ var x;
+ var y;
+
+ x = f32( -10.0 );
+ y = erfcf( x );
+ t.strictEqual( y, 2.0, 'returns 2.0' );
+
+ x = f32( -100.0 );
+ y = erfcf( x );
+ t.strictEqual( y, 2.0, 'returns 2.0' );
+
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/erfcf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/erfcf/test/test.native.js
new file mode 100644
index 000000000000..64a2afa461e7
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erfcf/test/test.native.js
@@ -0,0 +1,150 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var absf = require( '@stdlib/math/base/special/absf' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var erfc = require( '@stdlib/math/base/special/erfc' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+
+// VARIABLES //
+
+var erfcf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( erfcf instanceof Error )
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof erfcf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function returns `1.0` if provided `0`', opts, function test( t ) {
+ var y = erfcf( 0.0 );
+ t.strictEqual( y, 1.0, 'returns 1.0' );
+ t.end();
+});
+
+tape( 'the function returns `0.0` if provided `+infinity`', opts, function test( t ) {
+ var y = erfcf( PINF );
+ t.strictEqual( y, 0.0, 'returns 0.0' );
+ t.end();
+});
+
+tape( 'the function returns `2.0` if provided `-infinity`', opts, function test( t ) {
+ var y = erfcf( NINF );
+ t.strictEqual( y, 2.0, 'returns 2.0' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) {
+ var y = erfcf( NaN );
+ t.strictEqual( isnanf( y ), true, 'returns NaN' );
+ t.end();
+});
+
+tape( 'the function evaluates the complementary error function (positive values)', opts, function test( t ) {
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var e;
+
+ x = f32( 0.5 );
+ y = erfcf( x );
+ e = f32( erfc( x ) );
+ delta = absf( y - e );
+ tol = f32( 2.0 * EPS * absf( e ) );
+ t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x+'. y: '+y+'. E: '+e+'. tol: '+tol+'. delta: '+delta+'.' );
+
+ x = f32( 1.0 );
+ y = erfcf( x );
+ e = f32( erfc( x ) );
+ delta = absf( y - e );
+ tol = f32( 2.0 * EPS * absf( e ) );
+ t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x+'. y: '+y+'. E: '+e+'. tol: '+tol+'. delta: '+delta+'.' );
+
+ x = f32( 2.0 );
+ y = erfcf( x );
+ e = f32( erfc( x ) );
+ delta = absf( y - e );
+ tol = f32( 5.0 * EPS * absf( e ) );
+ t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x+'. y: '+y+'. E: '+e+'. tol: '+tol+'. delta: '+delta+'.' );
+
+ t.end();
+});
+
+tape( 'the function evaluates the complementary error function (negative values)', opts, function test( t ) {
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var e;
+
+ x = f32( -0.5 );
+ y = erfcf( x );
+ e = f32( erfc( x ) );
+ delta = absf( y - e );
+ tol = f32( 2.0 * EPS * absf( e ) );
+ t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x+'. y: '+y+'. E: '+e+'. tol: '+tol+'. delta: '+delta+'.' );
+
+ x = f32( -1.0 );
+ y = erfcf( x );
+ e = f32( erfc( x ) );
+ delta = absf( y - e );
+ tol = f32( 2.0 * EPS * absf( e ) );
+ t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x+'. y: '+y+'. E: '+e+'. tol: '+tol+'. delta: '+delta+'.' );
+
+ t.end();
+});
+
+tape( 'the function evaluates the complementary error function (large positive values)', opts, function test( t ) {
+ var x;
+ var y;
+
+ x = f32( 10.0 );
+ y = erfcf( x );
+ t.strictEqual( y < f32( 1.0e-30 ), true, 'returns value very close to 0' );
+
+ t.end();
+});
+
+tape( 'the function evaluates the complementary error function (large negative values)', opts, function test( t ) {
+ var x;
+ var y;
+
+ x = f32( -10.0 );
+ y = erfcf( x );
+ t.strictEqual( y, 2.0, 'returns 2.0' );
+
+ t.end();
+});