diff --git a/lib/node_modules/@stdlib/math/base/special/erff/LICENSE b/lib/node_modules/@stdlib/math/base/special/erff/LICENSE
new file mode 100644
index 000000000000..a7566ad6f2c3
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/LICENSE
@@ -0,0 +1,192 @@
+
+ Apache License
+ Version 2.0, January 2004
+ http://www.apache.org/licenses/
+
+ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+ 1. Definitions.
+
+ "License" shall mean the terms and conditions for use, reproduction,
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+ "You" (or "Your") shall mean an individual or Legal Entity
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+ "Work" shall mean the work of authorship, whether in Source or
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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,
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+ 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,
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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
+is preserved.
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/README.md b/lib/node_modules/@stdlib/math/base/special/erff/README.md
new file mode 100644
index 000000000000..505ed52d4a49
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/README.md
@@ -0,0 +1,230 @@
+
+
+# erff
+
+> [Error function][error-function].
+
+
+
+The [error function][error-function] is defined as
+
+
+
+```math
+\mathop{\mathrm{erf}}(x) = \frac{2}{\sqrt\pi}\int_0^x e^{-t^2}\,\mathrm dt
+```
+
+
+
+
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var erff = require( '@stdlib/math/base/special/erff' );
+```
+
+#### erff( x )
+
+Evaluates the [error function][error-function] for a single-precision floating-point number.
+
+```javascript
+var v = erff( 0.0 );
+// returns 0.0
+
+v = erff( 1.0 );
+// returns ~0.8427
+
+v = erff( -1.0 );
+// returns ~-0.8427
+
+v = erff( 2.0 );
+// returns ~0.9953
+```
+
+If provided `NaN`, the function returns `NaN`.
+
+```javascript
+var v = erff( NaN );
+// returns NaN
+```
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var linspace = require( '@stdlib/array/base/linspace' );
+var erff = require( '@stdlib/math/base/special/erff' );
+
+var x = linspace( -4.0, 4.0, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+ console.log( 'x: %0.4f, erff(x) = %f', x[ i ], erff( x[ i ] ) );
+}
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/erff.h"
+```
+
+#### stdlib_base_erff( x )
+
+Evaluates the [error function][error-function] for a single-precision floating-point number.
+
+```c
+float out = stdlib_base_erff( 0.0f );
+// returns 0.0f
+
+out = stdlib_base_erff( 1.0f );
+// returns ~0.8427f
+```
+
+The function accepts the following arguments:
+
+- **x**: `[in] float` input value.
+
+```c
+float stdlib_base_erff( const float x );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/erff.h"
+#include
+
+int main( void ) {
+ const float x[] = { -4.0f, -3.0f, -2.0f, -1.0f, 0.0f, 1.0f, 2.0f, 3.0f, 4.0f };
+
+ float v;
+ int i;
+ for ( i = 0; i < 9; i++ ) {
+ v = stdlib_base_erff( x[ i ] );
+ printf( "erff(%f) = %f\\n", x[ i ], v );
+ }
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+* * *
+
+## See Also
+
+- [`@stdlib/math/base/special/erf`][@stdlib/math/base/special/erf]: error function.
+- [`@stdlib/math/base/special/erfc`][@stdlib/math/base/special/erfc]: complementary error function.
+- [`@stdlib/math/base/special/erfcx`][@stdlib/math/base/special/erfcx]: scaled complementary error function.
+- [`@stdlib/math/base/special/erfinv`][@stdlib/math/base/special/erfinv]: inverse error function.
+
+
+
+
+
+
+
+
+
+[error-function]: https://en.wikipedia.org/wiki/Error_function
+
+
+
+[@stdlib/math/base/special/erf]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/erf
+
+[@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/erfcx]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/erfcx
+
+[@stdlib/math/base/special/erfinv]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/erfinv
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/erff/benchmark/benchmark.js
new file mode 100644
index 000000000000..52f24000d24f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/benchmark/benchmark.js
@@ -0,0 +1,51 @@
+/**
+* @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 randu = require( '@stdlib/random/base/randu' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pkg = require( './../package.json' ).name;
+var erff = require( './../lib' );
+
+
+// MAIN //
+
+bench(pkg, function benchmark(b) {
+ var x;
+ var y;
+ var i;
+
+ b.tic();
+ for (i = 0; i < b.iterations; i++) {
+ x = (randu() * 10.0) - 5.0;
+ y = erff(x);
+ 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/erff/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/erff/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..eb3f3aebde83
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/benchmark/benchmark.native.js
@@ -0,0 +1,63 @@
+/**
+* @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 pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var erff = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( erff instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg + '::native', opts, function benchmark(b) {
+ var x;
+ var y;
+ var i;
+
+ x = uniform( 10, -5.0, 5.0, {
+ 'dtype': 'generic'
+ });
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = erff(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/erff/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/erff/benchmark/c/Makefile
new file mode 100644
index 000000000000..928de45a1a06
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/benchmark/c/Makefile
@@ -0,0 +1,127 @@
+#/
+# @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
+# @param {string} [CFLAGS] - C compiler flags
+# @param {(string|void)} [fPIC] - compiler flag indicating whether to generate position independent code
+#
+# @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/erff/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/erff/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..9c903b24d4ac
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/benchmark/c/benchmark.c
@@ -0,0 +1,134 @@
+/**
+* @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 "erff"
+#define ITERATIONS 1000000
+#define REPEATS 3
+
+/**
+* Prints the TAP version.
+*/
+static void print_version( void ) {
+ printf( "TAP version 13\n" );
+}
+
+/**
+* Prints the TAP summary.
+*
+* @param total total number of tests
+* @param passing total number of passing tests
+*/
+static void print_summary( int total, int passing ) {
+ printf( "#\n" );
+ printf( "1..%d\n", total ); // TAP plan
+ printf( "# total %d\n", total );
+ printf( "# pass %d\n", passing );
+ printf( "#\n" );
+ printf( "# ok\n" );
+}
+
+/**
+* Prints benchmarks results.
+*
+* @param elapsed elapsed time in seconds
+*/
+static void print_results( double elapsed ) {
+ double rate = (double)ITERATIONS / elapsed;
+ printf( " ---\n" );
+ printf( " iterations: %d\n", ITERATIONS );
+ printf( " elapsed: %0.9f\n", elapsed );
+ printf( " rate: %0.9f\n", rate );
+ printf( " ...\n" );
+}
+
+/**
+* Returns a clock time.
+*
+* @return clock time
+*/
+static double tic( void ) {
+ struct timeval now;
+ gettimeofday( &now, NULL );
+ return (double)now.tv_sec + (double)now.tv_usec/1.0e6;
+}
+
+/**
+* Generates a random number on the interval [0,1).
+*
+* @return random number
+*/
+static float rand_float( void ) {
+ int r = rand();
+ return (float)r / ( (float)RAND_MAX + 1.0f );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+ float values[ 10 ];
+ double elapsed;
+ float y;
+ double t;
+ int i;
+
+ for ( i = 0; i < 10; i++ ) {
+ values[ i ] = ( 2.0f * rand_float() ) - 1.0f;
+ }
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ y = erff( values[ i%10 ] );
+ 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/erff/binding.gyp b/lib/node_modules/@stdlib/math/base/special/erff/binding.gyp
new file mode 100644
index 000000000000..0d6508a12e99
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/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/erff/docs/img/equation_error_function.svg b/lib/node_modules/@stdlib/math/base/special/erff/docs/img/equation_error_function.svg
new file mode 100644
index 000000000000..98adda7b8501
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/docs/img/equation_error_function.svg
@@ -0,0 +1,58 @@
+
\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/erff/docs/repl.txt
new file mode 100644
index 000000000000..cc050f537255
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/docs/repl.txt
@@ -0,0 +1,34 @@
+
+{{alias}}( x )
+ Evaluates the error function for a single-precision floating-point number.
+
+ The error function is defined as:
+
+ erf(x) = (2/√π) ∫₀ˣ exp(-t²) dt
+
+ Parameters
+ ----------
+ x: number
+ Input value.
+
+ Returns
+ -------
+ y: number
+ Function value.
+
+ Examples
+ --------
+ > var y = {{alias}}( 0.0 )
+ 0.0
+ > y = {{alias}}( 1.0 )
+ ~0.8427
+ > y = {{alias}}( -1.0 )
+ ~-0.8427
+ > y = {{alias}}( 2.0 )
+ ~0.9953
+ > y = {{alias}}( NaN )
+ NaN
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/erff/docs/types/index.d.ts
new file mode 100644
index 000000000000..5deb9dee5bb7
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/docs/types/index.d.ts
@@ -0,0 +1,60 @@
+/*
+* @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 error function for a single-precision floating-point number.
+*
+* ## Notes
+*
+* - The error function is defined as:
+*
+* ```tex
+* \operatorname{erf}(x) = \frac{2}{\sqrt{\pi}}\int_0^x e^{-t^2}\,\mathrm dt
+* ```
+*
+* @param x - input value
+* @returns function value
+*
+* @example
+* var v = erff( 0.0 );
+* // returns 0.0
+*
+* @example
+* var v = erff( 1.0 );
+* // returns ~0.8427
+*
+* @example
+* var v = erff( -1.0 );
+* // returns ~-0.8427
+*
+* @example
+* var v = erff( 2.0 );
+* // returns ~0.9953
+*
+* @example
+* var v = erff( NaN );
+* // returns NaN
+*/
+declare function erff( x: number ): number;
+
+
+// EXPORTS //
+
+export = erff;
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/erff/docs/types/test.ts
new file mode 100644
index 000000000000..fca48bc2b3ad
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/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 erff = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ erff( 8 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+ erff( true ); // $ExpectError
+ erff( false ); // $ExpectError
+ erff( null ); // $ExpectError
+ erff( undefined ); // $ExpectError
+ erff( '5' ); // $ExpectError
+ erff( [] ); // $ExpectError
+ erff( {} ); // $ExpectError
+ erff( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+ erff(); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/examples/index.js b/lib/node_modules/@stdlib/math/base/special/erff/examples/index.js
new file mode 100644
index 000000000000..a21894afad01
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/examples/index.js
@@ -0,0 +1,35 @@
+/**
+* @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 erff = require( './../lib' );
+
+
+// MAIN //
+
+console.log( 'erff( 0.0 ) = %d', erff(0.0));
+console.log( 'erff( 0.5 ) = %d', erff(0.5));
+console.log( 'erff( 1.0 ) = %d', erff(1.0));
+console.log( 'erff( 2.0 ) = %d', erff(2.0));
+console.log( 'erff( -1.0 ) = %d', erff(-1.0));
+console.log( 'erff( NaN ) = %d', erff(NaN));
+console.log( 'erff( Infinity ) = %d', erff(Infinity));
+console.log( 'erff( -Infinity ) = %d', erff(-Infinity));
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/include.gypi b/lib/node_modules/@stdlib/math/base/special/erff/include.gypi
new file mode 100644
index 000000000000..bee8d41a2caf
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/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': [
+ '= 1/0.35 ~ 2.857143`
+*
+* ```tex
+* \operatorname{erf}(x) = \operatorname{sign}(x) \cdot (1 - tiny)
+* ```
+*
+* @param {number} x - input value
+* @returns {number} function value
+*
+* @example
+* var y = erff( 2.0 );
+* // returns ~0.9953
+*
+* @example
+* var y = erff( -1.0 );
+* // returns ~-0.8427
+*
+* @example
+* var y = erff( 0.0 );
+* // returns 0.0
+*
+* @example
+* var y = erff( NaN );
+* // returns NaN
+*/
+function erff( x ) {
+ var sign;
+ var ax;
+ var z;
+ var r;
+ var s;
+ var y;
+ var p;
+ var q;
+
+ // Special case: NaN
+ if ( isnanf( x ) ) {
+ return NaN;
+ }
+ // Special case: +infinity
+ if ( x === PINF ) {
+ return ONE;
+ }
+ // Special case: -infinity
+ if ( x === NINF ) {
+ return -ONE;
+ }
+ // Special case: +-0
+ if ( x === 0.0 ) {
+ return x;
+ }
+ if ( x < 0.0 ) {
+ sign = true;
+ ax = float64ToFloat32( -x );
+ } else {
+ sign = false;
+ ax = float64ToFloat32( x );
+ }
+ // |x| < 0.84375
+ if ( ax < float64ToFloat32( 0.84375 ) ) {
+ if ( ax < float64ToFloat32( 1.0e-4 ) ) {
+ if ( ax < float64ToFloat32( 1.0e-30 ) ) {
+ // Avoid underflow:
+ return float64ToFloat32( float64ToFloat32( 0.125 * float64ToFloat32( float64ToFloat32( 8.0*x ) + float64ToFloat32( EFX8*x ) ) ) ); // eslint-disable-line max-len
+ }
+ return float64ToFloat32( x + float64ToFloat32( EFX * x ) );
+ }
+ z = float64ToFloat32( x * x );
+ r = float64ToFloat32( PP0 + float64ToFloat32( z*polyvalPP( z ) ) );
+ s = float64ToFloat32( ONE + float64ToFloat32( z*polyvalQQ( z ) ) );
+ y = float64ToFloat32( r / s );
+ return float64ToFloat32( x + float64ToFloat32( x*y ) );
+ }
+ // 0.84375 <= |x| < 1.25
+ if ( ax < float64ToFloat32( 1.25 ) ) {
+ s = float64ToFloat32( ax - ONE );
+ p = float64ToFloat32( PA0 + float64ToFloat32( s * polyvalPA( s ) ) );
+ q = float64ToFloat32( ONE + float64ToFloat32( s * polyvalQA( s ) ) );
+ if (sign) {
+ return float64ToFloat32( float64ToFloat32( -ERX ) - float64ToFloat32( p / q ) ); // eslint-disable-line max-len
+ }
+ return float64ToFloat32( ERX + float64ToFloat32( p / q ) );
+ }
+ // |x| >= 4
+ if ( ax >= float64ToFloat32( 4.0 ) ) {
+ if ( sign ) {
+ return float64ToFloat32( TINY - ONE );
+ }
+ return float64ToFloat32( ONE - TINY );
+ }
+ s = float64ToFloat32( ONE / float64ToFloat32( ax * ax ) );
+
+ // |x| < 1/0.35 ~ 2.857143
+ if ( ax < float64ToFloat32( 2.857142857142857 ) ) {
+ r = float64ToFloat32( RA0 + float64ToFloat32( s * polyvalRA( s ) ) );
+ s = float64ToFloat32( ONE + float64ToFloat32( s * polyvalSA( s ) ) );
+ }
+ // |x| >= 1/0.35 ~ 2.857143
+ else {
+ r = float64ToFloat32( RB0 + float64ToFloat32( s * polyvalRB( s ) ) );
+ s = float64ToFloat32( ONE + float64ToFloat32( s * polyvalSB( s ) ) );
+ }
+ z = ax;
+ r = float64ToFloat32(float64ToFloat32(exp(float64ToFloat32(float64ToFloat32(-z * z) - float64ToFloat32(0.5625)))) * float64ToFloat32(exp(float64ToFloat32((float64ToFloat32((z-x))*float64ToFloat32((z+x)))+float64ToFloat32(r / s))))); // eslint-disable-line max-len
+ if ( sign ) {
+ return float64ToFloat32( float64ToFloat32( r / ax ) - ONE );
+ }
+ return float64ToFloat32( ONE - float64ToFloat32( r / ax ) );
+}
+
+
+// EXPORTS //
+
+module.exports = erff;
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/lib/native.js b/lib/node_modules/@stdlib/math/base/special/erff/lib/native.js
new file mode 100644
index 000000000000..927c3d1963bf
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/lib/native.js
@@ -0,0 +1,58 @@
+/**
+* @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 error function for a single-precision floating-point number.
+*
+* @private
+* @param {number} x - input value
+* @returns {number} function value
+*
+* @example
+* var y = erff( 2.0 );
+* // returns ~0.9953
+*
+* @example
+* var y = erff( -1.0 );
+* // returns ~-0.8427
+*
+* @example
+* var y = erff( -0.0 );
+* // returns -0.0
+*
+* @example
+* var y = erff( NaN );
+* // returns NaN
+*/
+function erff(x) {
+ return addon(x);
+}
+
+
+// EXPORTS //
+
+module.exports = erff;
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_pa.js b/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_pa.js
new file mode 100644
index 000000000000..7400c5a9fd0a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/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 float64ToFloat32 = 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 0.41485610604286194;
+ }
+ return float64ToFloat32(0.41485610604286194 + float64ToFloat32(x * float64ToFloat32(-0.3722078800201416 + float64ToFloat32(x * float64ToFloat32(0.31834661960601807 + float64ToFloat32(x * float64ToFloat32(-0.11089469492435455 + float64ToFloat32(x * float64ToFloat32(0.03547830507159233 + float64ToFloat32(x * -0.002166375517845154)))))))))); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_pp.js b/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_pp.js
new file mode 100644
index 000000000000..59e69b643d27
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/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 float64ToFloat32 = 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 -0.32504209876060486;
+ }
+ return float64ToFloat32(-0.32504209876060486 + float64ToFloat32(x * float64ToFloat32(-0.028481749817728996 + float64ToFloat32(x * float64ToFloat32(-0.005770270247012377 + float64ToFloat32(x * -0.000023763017452438362)))))); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_qa.js b/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_qa.js
new file mode 100644
index 000000000000..78c4e384812f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/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 float64ToFloat32 = 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 0.10642088204622269;
+ }
+ return float64ToFloat32(0.10642088204622269 + float64ToFloat32(x * float64ToFloat32(0.5403979420661926 + float64ToFloat32(x * float64ToFloat32(0.07182865589857101 + float64ToFloat32(x * float64ToFloat32(0.12617121636867523 + float64ToFloat32(x * float64ToFloat32(0.01363708358258009 + float64ToFloat32(x * 0.011984500102698803)))))))))); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_qq.js b/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_qq.js
new file mode 100644
index 000000000000..0861b65fac10
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/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 float64ToFloat32 = 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 0.3979172110557556;
+ }
+ return float64ToFloat32(0.3979172110557556 + float64ToFloat32(x * float64ToFloat32(0.06502225250005722 + float64ToFloat32(x * float64ToFloat32(0.0050813062116503716 + float64ToFloat32(x * float64ToFloat32(0.0001324947370449081 + float64ToFloat32(x * -0.0000039602282413397916)))))))); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_ra.js b/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_ra.js
new file mode 100644
index 000000000000..850c2c5fa824
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/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 float64ToFloat32 = 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 -0.6938585638999939;
+ }
+ return float64ToFloat32(-0.6938585638999939 + float64ToFloat32(x * float64ToFloat32(-10.558626174926758 + float64ToFloat32(x * float64ToFloat32(-62.37533187866211 + float64ToFloat32(x * float64ToFloat32(-162.39666748046875 + float64ToFloat32(x * float64ToFloat32(-184.60508728027344 + float64ToFloat32(x * float64ToFloat32(-81.28743743896484 + float64ToFloat32(x * -9.814329147338867)))))))))))); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_rb.js b/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_rb.js
new file mode 100644
index 000000000000..fceae8dfbe7e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/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 float64ToFloat32 = 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 -0.548049807548523;
+ }
+ return float64ToFloat32(-0.548049807548523 + float64ToFloat32(x * -1.8411568403244019)); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_sa.js b/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_sa.js
new file mode 100644
index 000000000000..e3089ef2af6a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/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 float64ToFloat32 = 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 19.65127182006836;
+ }
+ return float64ToFloat32(19.65127182006836 + float64ToFloat32(x * float64ToFloat32(137.65756225585938 + float64ToFloat32(x * float64ToFloat32(434.5658874511719 + float64ToFloat32(x * float64ToFloat32(645.3871459960938 + float64ToFloat32(x * float64ToFloat32(429.0081481933594 + float64ToFloat32(x * float64ToFloat32(108.63500213623047 + float64ToFloat32(x * float64ToFloat32(6.570249557495117 + float64ToFloat32(x * -0.06042441353201866)))))))))))))); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_sb.js b/lib/node_modules/@stdlib/math/base/special/erff/lib/polyval_sb.js
new file mode 100644
index 000000000000..ca4258bff7aa
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/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 float64ToFloat32 = 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 4.8713274002075195;
+ }
+ return float64ToFloat32(4.8713274002075195 + float64ToFloat32(x * float64ToFloat32(3.0498270988464355 + float64ToFloat32(x * -0.7619006633758545)))); // eslint-disable-line max-len
+}
+
+
+// EXPORTS //
+
+module.exports = evalpoly;
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/manifest.json b/lib/node_modules/@stdlib/math/base/special/erff/manifest.json
new file mode 100644
index 000000000000..3d083748aeaf
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/manifest.json
@@ -0,0 +1,102 @@
+{
+ "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",
+ "wasm": false,
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/math/base/napi/unary",
+ "@stdlib/math/base/assert/is-nanf",
+ "@stdlib/math/base/special/absf",
+ "@stdlib/constants/float32/pinf",
+ "@stdlib/constants/float32/ninf"
+ ]
+ },
+ {
+ "task": "benchmark",
+ "wasm": false,
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/math/base/assert/is-nanf",
+ "@stdlib/math/base/special/absf",
+ "@stdlib/constants/float32/pinf",
+ "@stdlib/constants/float32/ninf"
+ ]
+ },
+ {
+ "task": "examples",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/math/base/assert/is-nanf",
+ "@stdlib/math/base/special/absf",
+ "@stdlib/constants/float32/pinf",
+ "@stdlib/constants/float32/ninf"
+ ]
+ },
+ {
+ "task": "build",
+ "wasm": true,
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/math/base/napi/unary",
+ "@stdlib/math/base/assert/is-nanf",
+ "@stdlib/math/base/special/absf",
+ "@stdlib/constants/float32/pinf",
+ "@stdlib/constants/float32/ninf"
+ ]
+ }
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/package.json b/lib/node_modules/@stdlib/math/base/special/erff/package.json
new file mode 100644
index 000000000000..0bd4affce54e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/package.json
@@ -0,0 +1,142 @@
+{
+ "name": "@stdlib/math/base/special/erff",
+ "version": "0.0.0",
+ "description": "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",
+ "scripts": "./scripts",
+ "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",
+ "erff",
+ "error",
+ "function",
+ "float32",
+ "single",
+ "precision",
+ "number"
+ ],
+ "__stdlib__": {
+ "scaffold": {
+ "$schema": "math/base@v1.0",
+ "base_alias": "erf",
+ "alias": "erff",
+ "pkg_desc": "evaluate the error function for a single-precision floating-point number",
+ "desc": "evaluates the error function for a single-precision floating-point number",
+ "short_desc": "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": [
+ -3.71,
+ 2.48,
+ -1.96,
+ 0.83,
+ -0.27,
+ 1.15,
+ -4.29,
+ 3.06,
+ -2.53,
+ 4.77,
+ -0.94,
+ 0.36,
+ -1.42,
+ 2.91,
+ -3.18,
+ 1.67,
+ -4.86,
+ 0.59,
+ -2.07,
+ 4.12
+ ]
+ }
+ ],
+ "output_policy": "real_floating_point_and_generic",
+ "returns": {
+ "desc": "function value",
+ "type": {
+ "javascript": "number",
+ "jsdoc": "number",
+ "c": "float",
+ "dtype": "float32"
+ }
+ },
+ "keywords": [
+ "erff",
+ "error",
+ "function"
+ ],
+ "extra_keywords": []
+ }
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/scripts/evalpoly.js b/lib/node_modules/@stdlib/math/base/special/erff/scripts/evalpoly.js
new file mode 100644
index 000000000000..a6bb8f6e6aae
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/scripts/evalpoly.js
@@ -0,0 +1,246 @@
+/**
+* @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 script compiles modules for evaluating polynomial functions for erff (float32).
+* If any polynomial coefficients change, this script should be rerun to update the compiled files.
+*/
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var readFileSync = require( '@stdlib/fs/read-file' ).sync;
+var writeFileSync = require( '@stdlib/fs/write-file' ).sync;
+var currentYear = require( '@stdlib/time/current-year' );
+var substringBefore = require( '@stdlib/string/substring-before' );
+var substringAfter = require( '@stdlib/string/substring-after' );
+var format = require( '@stdlib/string/format' );
+var licenseHeader = require( '@stdlib/_tools/licenses/header' );
+var compile = require( '@stdlib/math/base/tools/evalpoly-compile' );
+var compileC = require( '@stdlib/math/base/tools/evalpoly-compile-c' );
+
+
+// VARIABLES //
+
+// Polynomial coefficients for float32 (from FreeBSD s_erff.c):
+
+// Coefficients ordered in ascending degree...
+
+// Coefficients for approximation to erff on [0, 0.84375):
+var PP = [
+ -3.2504209876e-01, // 0xbea66beb
+ -2.8481749818e-02, // 0xbce9528f
+ -5.7702702470e-03, // 0xbbbd1489
+ -2.3763017452e-05 // 0xb7c756b1
+];
+var QQ = [
+ 3.9791721106e-01, // 0x3ecbbbce
+ 6.5022252500e-02, // 0x3d852a63
+ 5.0813062117e-03, // 0x3ba68116
+ 1.3249473704e-04, // 0x390aee49
+ -3.9602282413e-06 // 0xb684e21a
+];
+
+// Coefficients for approximation to erff on [0.84375, 1.25):
+var PA = [
+ 4.1485610604e-01, // 0x3ed46805
+ -3.7220788002e-01, // 0xbebe9208
+ 3.1834661961e-01, // 0x3ea2fe54
+ -1.1089469492e-01, // 0xbde31cc2
+ 3.5478305072e-02, // 0x3d1151b3
+ -2.1663755178e-03 // 0xbae38d1c
+];
+var QA = [
+ 1.0642088413e-01, // 0x3dd9f331
+ 5.4039794207e-01, // 0x3f0a5785
+ 7.1828655899e-02, // 0x3d931ae7
+ 1.2617121637e-01, // 0x3e013307
+ 1.3637083149e-02, // 0x3c5f6e13
+ 1.1984500103e-02 // 0x3c445aa3
+];
+
+// Coefficients for approximation to erff on [1.25, 1/0.35):
+var RA = [
+ -6.9385856390e-01, // 0xbf31a0b7
+ -1.0558626175e+01, // 0xc128f022
+ -6.2375331879e+01, // 0xc2798057
+ -1.6239666748e+02, // 0xc322658c
+ -1.8460508728e+02, // 0xc3389ae7
+ -8.1287437439e+01, // 0xc2a2932b
+ -9.8143291473e+00 // 0xc11d077e
+];
+var SA = [
+ 1.9651271820e+01, // 0x419d35ce
+ 1.3765755740e+02, // 0x4309a856
+ 4.3456588745e+02, // 0x43d9486f
+ 6.4538717632e+02, // 0x44216d69
+ 4.2900814819e+02, // 0x43d6810b
+ 1.0863500214e+02, // 0x42d9451f
+ 6.5702495575e+00, // 0x40d23f7c
+ -6.0424413532e-02 // 0xbd777f97
+];
+
+// Coefficients for approximation to erff on [2.85715, 11]:
+var RB = [
+ -5.4804980755e-01, // 0xbf0c4cfe
+ -1.8411568403e+00 // 0xbfebab07
+];
+var SB = [
+ 4.8713274002e+00, // 0x409be1ea
+ 3.0498271008e+00, // 0x4043305e
+ -7.6190066338e-01 // 0xbf430bec
+];
+
+// Header to add to output files:
+var header = licenseHeader( 'Apache-2.0', 'js', {
+ 'year': currentYear(),
+ 'copyright': 'The Stdlib Authors'
+});
+header += '\n/* This is a generated file. Do not edit directly. */\n';
+
+
+// FUNCTIONS //
+
+/**
+* Inserts a compiled function into file content.
+*
+* @private
+* @param {string} text - source content
+* @param {string} id - function identifier
+* @param {string} str - function string
+* @returns {string} updated content
+*/
+function insert( text, id, str ) {
+ var before;
+ var after;
+ var begin;
+ var end;
+
+ begin = '// BEGIN: '+id;
+ end = '// END: '+id;
+
+ before = substringBefore( text, begin );
+ after = substringAfter( text, end );
+
+ return format( '%s// BEGIN: %s\n\n%s\n%s%s', before, id, str, end, after );
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+ var fpath;
+ var copts;
+ var jopts;
+ var opts;
+ var file;
+ var str;
+
+ opts = {
+ 'encoding': 'utf8'
+ };
+
+ // Compilation options for float32:
+ jopts = {
+ 'dtype': 'float32'
+ };
+
+ // Generate JavaScript polynomial evaluation files:
+ fpath = resolve( __dirname, '..', 'lib', 'polyval_pp.js' );
+ str = header + compile( PP, jopts );
+ writeFileSync( fpath, str, opts );
+
+ fpath = resolve( __dirname, '..', 'lib', 'polyval_qq.js' );
+ str = header + compile( QQ, jopts );
+ writeFileSync( fpath, str, opts );
+
+ fpath = resolve( __dirname, '..', 'lib', 'polyval_pa.js' );
+ str = header + compile( PA, jopts );
+ writeFileSync( fpath, str, opts );
+
+ fpath = resolve( __dirname, '..', 'lib', 'polyval_qa.js' );
+ str = header + compile( QA, jopts );
+ writeFileSync( fpath, str, opts );
+
+ fpath = resolve( __dirname, '..', 'lib', 'polyval_ra.js' );
+ str = header + compile( RA, jopts );
+ writeFileSync( fpath, str, opts );
+
+ fpath = resolve( __dirname, '..', 'lib', 'polyval_sa.js' );
+ str = header + compile( SA, jopts );
+ writeFileSync( fpath, str, opts );
+
+ fpath = resolve( __dirname, '..', 'lib', 'polyval_rb.js' );
+ str = header + compile( RB, jopts );
+ writeFileSync( fpath, str, opts );
+
+ fpath = resolve( __dirname, '..', 'lib', 'polyval_sb.js' );
+ str = header + compile( SB, jopts );
+ writeFileSync( fpath, str, opts );
+
+ // Generate C polynomial evaluation functions:
+ copts = {
+ 'dtype': 'float',
+ 'name': ''
+ };
+
+ fpath = resolve( __dirname, '..', 'src', 'main.c' );
+ file = readFileSync( fpath, opts );
+
+ copts.name = 'polyval_pa';
+ str = compileC( PA, copts );
+ file = insert( file, copts.name, str );
+
+ copts.name = 'polyval_pp';
+ str = compileC( PP, copts );
+ file = insert( file, copts.name, str );
+
+ copts.name = 'polyval_qa';
+ str = compileC( QA, copts );
+ file = insert( file, copts.name, str );
+
+ copts.name = 'polyval_qq';
+ str = compileC( QQ, copts );
+ file = insert( file, copts.name, str );
+
+ copts.name = 'polyval_ra';
+ str = compileC( RA, copts );
+ file = insert( file, copts.name, str );
+
+ copts.name = 'polyval_rb';
+ str = compileC( RB, copts );
+ file = insert( file, copts.name, str );
+
+ copts.name = 'polyval_sa';
+ str = compileC( SA, copts );
+ file = insert( file, copts.name, str );
+
+ copts.name = 'polyval_sb';
+ str = compileC( SB, copts );
+ file = insert( file, copts.name, str );
+
+ writeFileSync( fpath, file, opts );
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/src/Makefile b/lib/node_modules/@stdlib/math/base/special/erff/src/Makefile
new file mode 100644
index 000000000000..2caf905cedbe
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/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/erff/src/addon.c b/lib/node_modules/@stdlib/math/base/special/erff/src/addon.c
new file mode 100644
index 000000000000..830365f94668
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/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/erff.h"
+#include "stdlib/math/base/napi/unary.h"
+
+STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_erff )
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/src/main.c b/lib/node_modules/@stdlib/math/base/special/erff/src/main.c
new file mode 100644
index 000000000000..7cdd27abddf5
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/src/main.c
@@ -0,0 +1,341 @@
+/**
+* @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 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/s_erff.c}. The implementation has been modified for use in stdlib.
+*
+* ```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/erff.h"
+#include "stdlib/math/base/assert/is_nanf.h"
+#include "stdlib/math/base/special/absf.h"
+#include "stdlib/constants/float32/pinf.h"
+#include "stdlib/constants/float32/ninf.h"
+#include
+
+// Prevent compilers from erroneously constant folding
+static const volatile float tiny = 1.0e-30f;
+
+/**
+* Define prototypes for external functions.
+*/
+extern float expf( float x );
+
+static const float
+half = 0.5f,
+one = 1.0f,
+two = 2.0f,
+erx = 8.4506291151e-01f, // 0x3f58560b
+efx = 1.2837916613e-01f, // 0x3e0375d4
+efx8 = 1.0270333290e+00f; // 0x3f8375d4
+
+/* Begin auto-generated functions. The following functions are auto-generated. Do not edit directly. */
+
+// BEGIN: polyval_pp
+
+/**
+* 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
+*
+* @param x value at which to evaluate the polynomial
+* @return evaluated polynomial
+*/
+static float polyval_pp( const float x ) {
+ return -0.32504209876f + (x * (-0.028481749818f + (x * (-0.005770270247f + (x * -0.000023763017452f)))));
+}
+
+// END: polyval_pp
+
+// BEGIN: polyval_qq
+
+/**
+* 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
+*
+* @param x value at which to evaluate the polynomial
+* @return evaluated polynomial
+*/
+static float polyval_qq( const float x ) {
+ return 0.39791721106f + (x * (0.0650222525f + (x * (0.0050813062117f + (x * (0.00013249473704f + (x * -0.0000039602282413f)))))));
+}
+
+// END: polyval_qq
+
+// BEGIN: polyval_pa
+
+/**
+* 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
+*
+* @param x value at which to evaluate the polynomial
+* @return evaluated polynomial
+*/
+static float polyval_pa( const float x ) {
+ return 0.41485610604f + (x * (-0.37220788002f + (x * (0.31834661961f + (x * (-0.11089469492f + (x * (0.035478305072f + (x * -0.0021663755178f)))))))));
+}
+
+// END: polyval_pa
+
+// BEGIN: polyval_qa
+
+/**
+* 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
+*
+* @param x value at which to evaluate the polynomial
+* @return evaluated polynomial
+*/
+static float polyval_qa( const float x ) {
+ return 0.10642088413f + (x * (0.54039794207f + (x * (0.071828655899f + (x * (0.12617121637f + (x * (0.013637083149f + (x * 0.011984500103f)))))))));
+}
+
+// END: polyval_qa
+
+// BEGIN: polyval_ra
+
+/**
+* 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
+*
+* @param x value at which to evaluate the polynomial
+* @return evaluated polynomial
+*/
+static float polyval_ra( const float x ) {
+ return -0.6938585639f + (x * (-10.558626175f + (x * (-62.375331879f + (x * (-162.39666748f + (x * (-184.60508728f + (x * (-81.287437439f + (x * -9.8143291473f)))))))))));
+}
+
+// END: polyval_ra
+
+// BEGIN: polyval_sa
+
+/**
+* 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
+*
+* @param x value at which to evaluate the polynomial
+* @return evaluated polynomial
+*/
+static float polyval_sa( const float x ) {
+ return 19.65127182f + (x * (137.6575574f + (x * (434.56588745f + (x * (645.38717632f + (x * (429.00814819f + (x * (108.63500214f + (x * (6.5702495575f + (x * -0.060424413532f)))))))))))));
+}
+
+// END: polyval_sa
+
+// BEGIN: polyval_rb
+
+/**
+* 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
+*
+* @param x value at which to evaluate the polynomial
+* @return evaluated polynomial
+*/
+static float polyval_rb( const float x ) {
+ return -0.54804980755f + (x * -1.8411568403f);
+}
+
+// END: polyval_rb
+
+// BEGIN: polyval_sb
+
+/**
+* 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
+*
+* @param x value at which to evaluate the polynomial
+* @return evaluated polynomial
+*/
+static float polyval_sb( const float x ) {
+ return 4.8713274002f + (x * (3.0498271008f + (x * -0.76190066338f)));
+}
+
+// END: polyval_sb
+
+/* End auto-generated functions. */
+
+/**
+* Evaluates the error function for a single-precision floating-point number.
+*
+* ## Method
+*
+* 1. For |x| in [0, 0.84375]
+*
+* erf(x) = x + x*R(x^2)
+*
+* where R = P/Q where P is an odd poly of degree 8 and Q is an odd poly of degree 10.
+*
+* Note: For tiny x, erf(x) = (8/sqrt(pi))x to avoid underflow.
+*
+* 2. For |x| in [0.84375,1.25]
+*
+* erf(x) = sign(x) * (erx + P(|x|-1)/Q(|x|-1))
+*
+* where erx = 0.845062911510467529297 rounded to single (24 bits),
+* P is a degree 6 poly, Q is a degree 6 poly.
+*
+* 3. For x in [1.25,1/0.35 ~ 2.857143]
+*
+* erf(x) = 1 - (1/x)*exp(-x*x-0.5625+R/S)
+*
+* where R is a degree 7 poly, S is a degree 8 poly.
+*
+* 4. For x >= 1/0.35 ~ 2.857143
+*
+* erf(x) = sign(x)*(1 - tiny) (raise inexact)
+*
+* @param x input value
+* @return function value
+*
+* @example
+* float y = stdlib_base_erff( 2.0f );
+* // returns ~0.9953f
+*/
+float stdlib_base_erff( const float x ) {
+ int32_t sign;
+ float ax;
+ float z;
+ float r;
+ float s;
+ float y;
+ float p;
+ float q;
+
+ // Special case: NaN
+ if ( stdlib_base_is_nanf( x ) ) {
+ return x;
+ }
+ // Special case: +infinity
+ if ( x == STDLIB_CONSTANT_FLOAT32_PINF ) {
+ return one;
+ }
+ // Special case: -infinity
+ if ( x == STDLIB_CONSTANT_FLOAT32_NINF ) {
+ return -one;
+ }
+ // Special case: +-0
+ if ( x == 0.0f ) {
+ return x;
+ }
+ if ( x < 0.0f ) {
+ sign = -1;
+ ax = -x;
+ } else {
+ sign = 1;
+ ax = x;
+ }
+ // |x| < 0.84375
+ if ( ax < 0.84375f ) {
+ if ( ax < 1.0e-4f ) {
+ if ( ax < 1.0e-30f ) {
+ // Avoid underflow:
+ return 0.125f * ( ( 8.0f * x ) + ( efx8 * x ) );
+ }
+ return x + ( efx * x );
+ }
+ z = x * x;
+ r = 1.2837916613e-01f + ( z * polyval_pp( z ) ); // PP0 + z*polyval_pp(z)
+ s = one + ( z * polyval_qq( z ) );
+ y = r / s;
+ return x + ( x * y );
+ }
+ // 0.84375 <= |x| < 1.25
+ if ( ax < 1.25f ) {
+ s = ax - one;
+ p = -2.3621185683e-03f + ( s * polyval_pa( s ) ); // PA0 + s*polyval_pa(s)
+ q = one + ( s * polyval_qa( s ) );
+ if ( sign < 0 ) {
+ return -erx - ( p / q );
+ }
+ return erx + ( p / q );
+ }
+ // |x| >= 4
+ if ( ax >= 4.0f ) {
+ if ( sign < 0 ) {
+ return tiny - one; // raise inexact
+ }
+ return one - tiny; // raise inexact
+ }
+ s = one / ( ax * ax );
+
+ // |x| < 1/0.35 ~ 2.857143
+ if ( ax < 2.857142857142857f ) {
+ r = -9.8649440333e-03f + ( s * polyval_ra( s ) ); // RA0 + s*polyval_ra(s)
+ s = one + ( s * polyval_sa( s ) );
+ }
+ // |x| >= 1/0.35 ~ 2.857143
+ else {
+ r = -9.86496918e-03f + ( s * polyval_rb( s ) ); // RB0 + s*polyval_rb(s)
+ s = one + ( s * polyval_sb( s ) );
+ }
+
+ z = ax;
+ r = expf( ( -z * z ) - 0.5625f ) * expf( (z-x)*(z+x) + (r/s) );
+ if ( sign < 0 ) {
+ return ( r / ax ) - one;
+ }
+ return one - ( r / ax );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/REQUIRE
new file mode 100644
index 000000000000..401d9d45732f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+JSON
+SpecialFunctions
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/huge_negative.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/huge_negative.json
new file mode 100644
index 000000000000..d9e5ddf23a7c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/huge_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/huge_positive.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/huge_positive.json
new file mode 100644
index 000000000000..e3e51fd4550c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/huge_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/large_negative.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/large_negative.json
new file mode 100644
index 000000000000..7f5b086211c2
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/large_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/large_positive.json
new file mode 100644
index 000000000000..dcc964539e58
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/large_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/larger_negative.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/larger_negative.json
new file mode 100644
index 000000000000..ed0412d5cbbc
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/larger_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/larger_positive.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/larger_positive.json
new file mode 100644
index 000000000000..866c31823d02
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/larger_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/medium_negative.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/medium_negative.json
new file mode 100644
index 000000000000..e20890408c7b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/medium_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/medium_positive.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/medium_positive.json
new file mode 100644
index 000000000000..5dba63c9e30c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/medium_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/runner.jl
new file mode 100644
index 000000000000..fc3a7ce279e2
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/runner.jl
@@ -0,0 +1,135 @@
+#!/usr/bin/env julia
+#
+# @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 JSON
+using SpecialFunctions
+
+"""
+ gen( x, filepath )
+
+Generate fixture data and write to file.
+
+# Arguments
+
+* `x`: domain
+* `filepath::AbstractString`: filepath of the output file
+
+# Examples
+
+``` julia
+julia> x = range( -1, stop = 1, length = 500 );
+julia> gen( x, "./data.json" );
+```
+"""
+function gen( x, filepath )
+ # Convert to Float32 and compute erf
+ x_f32 = Float32.( x );
+ y_f32 = erf.( x_f32 );
+
+ # Convert back to Float64 for JSON (but values are at Float32 precision)
+ x_out = Float64.( x_f32 );
+ y_out = Float64.( y_f32 );
+
+ data = Dict([
+ ("x", x_out),
+ ("expected", y_out)
+ ]);
+
+ outfile = open( filepath, "w" );
+ write( outfile, JSON.json(data) );
+ write( outfile, "\n" );
+ close( outfile );
+end
+
+# Get the filename:
+file = @__FILE__;
+
+# Extract the directory in which this file resides:
+dir = dirname( file );
+
+# Subnormal values (Float32 subnormal range: ~1.4e-45 to ~1.2e-38):
+x = range( 1e-40, stop = 1e-45, length = 500 );
+out = joinpath( dir, "subnormal.json" );
+gen( x, out );
+
+# Negative tiny values:
+x = range( -1e-30, stop = -1e-38, length = 500 );
+out = joinpath( dir, "tiny_negative.json" );
+gen( x, out );
+
+# Positive tiny values:
+x = range( 1e-30, stop = 1e-38, length = 500 );
+out = joinpath( dir, "tiny_positive.json" );
+gen( x, out );
+
+# Small(er) values (around the first polynomial region):
+x = range( -0.8, stop = 0.8, length = 500 );
+out = joinpath( dir, "smaller.json" );
+gen( x, out );
+
+# Negative small values (tests PP/QQ to PA/QA transition):
+x = range( -1.0, stop = -0.8, length = 500 );
+out = joinpath( dir, "small_negative.json" );
+gen( x, out );
+
+# Positive small values (tests PP/QQ to PA/QA transition):
+x = range( 0.8, stop = 1.0, length = 500 );
+out = joinpath( dir, "small_positive.json" );
+gen( x, out );
+
+# Negative medium values (tests PA/QA to RA/SA transition):
+x = range( -3.0, stop = -1.0, length = 500 );
+out = joinpath( dir, "medium_negative.json" );
+gen( x, out );
+
+# Positive medium values (tests PA/QA to RA/SA transition):
+x = range( 1.0, stop = 3.0, length = 500 );
+out = joinpath( dir, "medium_positive.json" );
+gen( x, out );
+
+# Large negative values (tests RA/SA region, approaching saturation):
+x = range( -6.0, stop = -3.0, length = 500 );
+out = joinpath( dir, "large_negative.json" );
+gen( x, out );
+
+# Large positive values (tests RA/SA region, approaching saturation):
+x = range( 3.0, stop = 6.0, length = 500 );
+out = joinpath( dir, "large_positive.json" );
+gen( x, out );
+
+# Larger negative values (saturation region):
+x = range( -28.0, stop = -6.0, length = 500 );
+out = joinpath( dir, "larger_negative.json" );
+gen( x, out );
+
+# Larger positive values (saturation region):
+x = range( 6.0, stop = 28.0, length = 500 );
+out = joinpath( dir, "larger_positive.json" );
+gen( x, out );
+
+# Huge negative values (deep saturation):
+x = range( -1e20, stop = -1e28, length = 500 );
+out = joinpath( dir, "huge_negative.json" );
+gen( x, out );
+
+# Huge positive values (deep saturation):
+x = range( 1e20, stop = 1e28, length = 500 );
+out = joinpath( dir, "huge_positive.json" );
+gen( x, out );
+
+println( "Successfully generated fixture files for erff." );
diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/small_negative.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/small_negative.json
new file mode 100644
index 000000000000..f3212917abfc
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/small_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/small_positive.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/small_positive.json
new file mode 100644
index 000000000000..44a75b70112f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/small_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/smaller.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/smaller.json
new file mode 100644
index 000000000000..4bd8b66fa887
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/smaller.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/subnormal.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/subnormal.json
new file mode 100644
index 000000000000..6c8d5a2f601a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/subnormal.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/tiny_negative.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/tiny_negative.json
new file mode 100644
index 000000000000..74456e7b3911
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/tiny_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/tiny_positive.json b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/tiny_positive.json
new file mode 100644
index 000000000000..09a5e036d480
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/fixtures/julia/tiny_positive.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/erff/test/test.js b/lib/node_modules/@stdlib/math/base/special/erff/test/test.js
new file mode 100644
index 000000000000..adf121eb992b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/erff/test/test.js
@@ -0,0 +1,413 @@
+/**
+* @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 isnan = require( '@stdlib/math/base/assert/is-nan' );
+var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' );
+var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var absf = require( '@stdlib/math/base/special/absf' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var erff = require( './../lib' );
+
+
+// FIXTURES //
+
+var hugeNegative = require( './fixtures/julia/huge_negative.json' );
+var hugePositive = require( './fixtures/julia/huge_positive.json' );
+var largerNegative = require( './fixtures/julia/larger_negative.json' );
+var largerPositive = require( './fixtures/julia/larger_positive.json' );
+var largeNegative = require( './fixtures/julia/large_negative.json' );
+var largePositive = require( './fixtures/julia/large_positive.json' );
+var mediumNegative = require( './fixtures/julia/medium_negative.json' );
+var mediumPositive = require( './fixtures/julia/medium_positive.json' );
+var smallNegative = require( './fixtures/julia/small_negative.json' );
+var smallPositive = require( './fixtures/julia/small_positive.json' );
+var smaller = require( './fixtures/julia/smaller.json' );
+var tinyNegative = require( './fixtures/julia/tiny_negative.json' );
+var tinyPositive = require( './fixtures/julia/tiny_positive.json' );
+var subnormal = require( './fixtures/julia/subnormal.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof erff, 'function', 'main export is a function' );
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for `x` on the interval `[-1e20,-1e28]`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = hugeNegative.expected;
+ x = hugeNegative.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+ tol = float64ToFloat32( EPS * absf( float64ToFloat32( expected[i] ) ) );
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for `x` on the interval `[1e20,1e28]`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = hugePositive.expected;
+ x = hugePositive.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+ tol = float64ToFloat32( EPS * absf( float64ToFloat32( expected[i] ) ) );
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for `x` on the interval `[-28,-6]`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = largerNegative.expected;
+ x = largerNegative.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+ tol = float64ToFloat32( EPS * absf( float64ToFloat32( expected[i] ) ) );
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for `x` on the interval `[6,28]`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = largerPositive.expected;
+ x = largerPositive.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+ tol = float64ToFloat32( EPS * absf( float64ToFloat32( expected[i] ) ) );
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for `x` on the interval `[-6,-3]`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = largeNegative.expected;
+ x = largeNegative.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+ tol = float64ToFloat32( EPS * absf( float64ToFloat32( expected[i] ) ) );
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for `x` on the interval `[3,6]`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = largePositive.expected;
+ x = largePositive.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+ tol = float64ToFloat32( EPS * absf( float64ToFloat32( expected[i] ) ) );
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for `x` on the interval `[-3,-1]`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = mediumNegative.expected;
+ x = mediumNegative.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+ tol = float64ToFloat32( EPS * absf( float64ToFloat32( expected[i] ) ) );
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for `x` on the interval `[1,3]`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = mediumPositive.expected;
+ x = mediumPositive.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+ tol = float64ToFloat32( EPS * absf( float64ToFloat32( expected[i] ) ) );
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for `x` on the interval `[-1,-0.8]`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = smallNegative.expected;
+ x = smallNegative.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+ tol = float64ToFloat32( EPS * absf( float64ToFloat32( expected[i] ) ) );
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for `x` on the interval `[0.8,1]`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = smallPositive.expected;
+ x = smallPositive.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+ tol = float64ToFloat32( EPS * absf( float64ToFloat32( expected[i] ) ) );
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for `x` on the interval `[-0.8,0.8]`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = smaller.expected;
+ x = smaller.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+ tol = float64ToFloat32( EPS * absf( float64ToFloat32( expected[i] ) ) );
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for `x` on the interval `[-1e-30,-1e-38]`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = tinyNegative.expected;
+ x = tinyNegative.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+ tol = float64ToFloat32( EPS * absf( float64ToFloat32( expected[i] ) ) );
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for `x` on the interval `[1e-30,1e-38]`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = tinyPositive.expected;
+ x = tinyPositive.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+ tol = float64ToFloat32( EPS * absf( float64ToFloat32( expected[i] ) ) );
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'the function evaluates the error function for subnormal `x`', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ expected = subnormal.expected;
+ x = subnormal.x;
+ for ( i = 0; i < x.length; i++ ) {
+ y = erff( x[i] );
+ if ( y === expected[i] ) {
+ t.strictEqual( y, expected[i], 'x: ' + x[i] + ', y: ' + y + ', expected: ' + expected[i] );
+ } else {
+ delta = absf( float64ToFloat32( y - expected[i] ) );
+
+ // For subnormal values, use absolute tolerance instead of relative
+ tol = EPS;
+ t.ok( delta <= tol, 'within tolerance. x: ' + x[i] + '. y: ' + y + '. E: ' + expected[i] + '. Δ: ' + delta + '. tol: ' + tol );
+ }
+ }
+ t.end( );
+} );
+
+tape( 'if provided `-0`, the function returns `-0`', function test( t ) {
+ var y = erff( -0.0 );
+ t.strictEqual( isNegativeZero( y ), true, 'returns -0' );
+ t.end( );
+} );
+
+tape( 'if provided `+0`, the function returns `+0`', function test( t ) {
+ var y = erff( +0.0 );
+ t.strictEqual( isPositiveZero( y ), true, 'returns +0' );
+ t.end( );
+} );
+
+tape( 'if provided `-infinity`, the function returns `-1`', function test( t ) {
+ var y = erff( NINF );
+ t.strictEqual( y, -1.0, 'returns -1' );
+ t.end( );
+} );
+
+tape( 'if provided `+infinity`, the function returns `+1`', function test( t ) {
+ var y = erff( PINF );
+ t.strictEqual( y, +1.0, 'returns +1' );
+ t.end( );
+} );
+
+tape( 'if provided `NaN`, the function returns `NaN`', function test( t ) {
+ var y = erff( NaN );
+ t.strictEqual( isnan( y ), true, 'returns NaN' );
+ t.end( );
+} );