diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/README.md b/lib/node_modules/@stdlib/math/base/special/cinvf/README.md
new file mode 100644
index 000000000000..c715e9dfb225
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/README.md
@@ -0,0 +1,247 @@
+
+
+# cinvf
+
+> Compute the inverse of a single-precision complex floating-point number.
+
+
+
+The inverse (or reciprocal) of a non-zero complex number `z = a + bi` is defined as
+
+
+
+```math
+{\frac {1}{z}}=\frac{\bar{z}}{z{\bar{z}}} = \frac{a}{a^{2}+b^{2}} - \frac{b}{a^2+b^2}i.
+```
+
+
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var cinvf = require( '@stdlib/math/base/special/cinvf' );
+```
+
+#### cinvf( z )
+
+Computes the inverse of a single-precision complex floating-point number.
+
+```javascript
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var realf = require( '@stdlib/complex/float32/real' );
+var imagf = require( '@stdlib/complex/float32/imag' );
+
+var v = cinvf( new Complex64( 2.0, 4.0 ) );
+// returns
+
+var re = realf( v );
+// returns ~0.1
+
+var im = imagf( v );
+// returns ~-0.2
+```
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var Complex64Array = require( '@stdlib/array/complex64' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var cinvf = require( '@stdlib/math/base/special/cinvf' );
+
+// Create an array of random numbers:
+var arr = new Complex64Array( uniform( 200, -100.0, 100.0 ) );
+
+// Compute the inverse of each number in the array:
+logEachMap( '1.0 / (%s) = %s', arr, cinvf );
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/cinvf.h"
+```
+
+#### stdlib_base_cinvf( z )
+
+Computes the inverse of a single-precision complex floating-point number.
+
+```c
+#include "stdlib/complex/float32/ctor.h"
+#include "stdlib/complex/float32/real.h"
+#include "stdlib/complex/float32/imag.h"
+
+stdlib_complex64_t z = stdlib_complex64( 2.0f, 4.0f );
+
+stdlib_complex64_t out = stdlib_base_cinvf( z );
+
+float re = stdlib_complex64_real( out );
+// returns 0.1f
+
+float im = stdlib_complex64_imag( out );
+// returns -0.2f
+```
+
+The function accepts the following arguments:
+
+- **z**: `[in] stdlib_complex64_t` input value.
+
+```c
+stdlib_complex64_t stdlib_base_cinvf( const stdlib_complex64_t z );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/cinvf.h"
+#include "stdlib/complex/float32/ctor.h"
+#include "stdlib/complex/float32/reim.h"
+#include
+
+int main( void ) {
+ const stdlib_complex64_t x[] = {
+ stdlib_complex64( 3.14f, 1.5f ),
+ stdlib_complex64( -3.14f, -1.5f ),
+ stdlib_complex64( 0.0f, 0.0f ),
+ stdlib_complex64( 0.0f/0.0f, 0.0f/0.0f )
+ };
+
+ stdlib_complex64_t v;
+ stdlib_complex64_t y;
+ float re1;
+ float im1;
+ float re2;
+ float im2;
+ int i;
+ for ( i = 0; i < 4; i++ ) {
+ v = x[ i ];
+ y = stdlib_base_cinvf( v );
+ stdlib_complex64_reim( v, &re1, &im1 );
+ stdlib_complex64_reim( y, &re2, &im2 );
+ printf( "cinvf(%f + %fi) = %f + %fi\n", re1, im1, re2, im2 );
+ }
+}
+```
+
+
+
+
+
+
+
+
+
+* * *
+
+
+
+## References
+
+- Smith, Robert L. 1962. "Algorithm 116: Complex Division." _Commun. ACM_ 5 (8). New York, NY, USA: ACM: 435. doi:[10.1145/368637.368661][@smith:1962a].
+- Stewart, G. W. 1985. "A Note on Complex Division." _ACM Trans. Math. Softw._ 11 (3). New York, NY, USA: ACM: 238–41. doi:[10.1145/214408.214414][@stewart:1985a].
+- Priest, Douglas M. 2004. "Efficient Scaling for Complex Division." _ACM Trans. Math. Softw._ 30 (4). New York, NY, USA: ACM: 389–401. doi:[10.1145/1039813.1039814][@priest:2004a].
+- Baudin, Michael, and Robert L. Smith. 2012. "A Robust Complex Division in Scilab." _arXiv_ abs/1210.4539 \[cs.MS] (October): 1–25. [<https://arxiv.org/abs/1210.4539>][@baudin:2012a].
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[@smith:1962a]: https://doi.org/10.1145/368637.368661
+
+[@stewart:1985a]: https://doi.org/10.1145/214408.214414
+
+[@priest:2004a]: https://doi.org/10.1145/1039813.1039814
+
+[@baudin:2012a]: https://arxiv.org/abs/1210.4539
+
+
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/benchmark.js
new file mode 100644
index 000000000000..90e0cdf8d2eb
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/benchmark.js
@@ -0,0 +1,58 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/base/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var realf = require( '@stdlib/complex/float32/real' );
+var imagf = require( '@stdlib/complex/float32/imag' );
+var pkg = require( './../package.json' ).name;
+var cinvf = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var values;
+ var y;
+ var i;
+
+ values = [
+ new Complex64( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) ),
+ new Complex64( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) )
+ ];
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = cinvf( values[ i%values.length ] );
+ if ( isnanf( realf( y ) ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( imagf( y ) ) ) {
+ b.fail( 'should not return not NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..14756b91c559
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/benchmark.native.js
@@ -0,0 +1,67 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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/base/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var realf = require( '@stdlib/complex/float32/real' );
+var imagf = require( '@stdlib/complex/float32/imag' );
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var cinvf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( cinvf instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+ var values;
+ var y;
+ var i;
+
+ values = [
+ new Complex64( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) ),
+ new Complex64( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) )
+ ];
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = cinvf( values[ i%values.length ] );
+ if ( isnanf( realf( y ) ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( imagf( y ) ) ) {
+ b.fail( 'should not return not NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/c/Makefile
new file mode 100644
index 000000000000..d564e8b2d6f9
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/c/Makefile
@@ -0,0 +1,127 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# 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/cinvf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..806a62cc03e8
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/c/benchmark.c
@@ -0,0 +1,141 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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 "inv"
+#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 re[ 100 ];
+ float im[ 100 ];
+ double elapsed;
+ double t;
+ int i;
+
+ float complex z1;
+ float complex z2;
+
+ for ( i = 0; i < 100; i++ ) {
+ re[ i ] = ( 1000.0f*rand_float() ) - 500.0f;
+ im[ i ] = ( 1000.0f*rand_float() ) - 500.0f;
+ }
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ z1 = re[ i%100 ] + im[ i%100 ]*I;
+
+ z2 = 1.0f / z1;
+ if ( z2 != z2 ) {
+ printf( "should not return NaN\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( z2 != z2 ) {
+ 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/cinvf/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/c/native/Makefile
new file mode 100644
index 000000000000..a4bd7b38fd74
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/c/native/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+else
+ QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+ CC := $(C_COMPILER)
+else
+ CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+ -std=c99 \
+ -O3 \
+ -Wall \
+ -pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+ fPIC ?=
+else
+ fPIC ?= -fPIC
+endif
+
+# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`):
+INCLUDE ?=
+
+# List of source files:
+SOURCE_FILES ?=
+
+# List of libraries (e.g., `-lopenblas -lpthread`):
+LIBRARIES ?=
+
+# List of library paths (e.g., `-L /foo/bar -L /beep/boop`):
+LIBPATH ?=
+
+# List of C targets:
+c_targets := benchmark.out
+
+
+# RULES #
+
+#/
+# Compiles source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`)
+# @param {string} [SOURCE_FILES] - list of source files
+# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`)
+# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler (e.g., `gcc`)
+# @param {string} CFLAGS - C compiler options
+# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`)
+# @param {string} SOURCE_FILES - list of source files
+# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`)
+# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`)
+#/
+$(c_targets): %.out: %.c
+ $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
+
+#/
+# Runs compiled benchmarks.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+ $(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+ $(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/c/native/benchmark.c
new file mode 100644
index 000000000000..198134481f4d
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/c/native/benchmark.c
@@ -0,0 +1,146 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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/cinvf.h"
+#include "stdlib/complex/float32/ctor.h"
+#include "stdlib/complex/float32/reim.h"
+#include
+#include
+#include
+#include
+#include
+
+#define NAME "cinvf"
+#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 u[ 100 ];
+ float v[ 100 ];
+ double elapsed;
+ float re;
+ float im;
+ double t;
+ int i;
+
+ stdlib_complex64_t x;
+ stdlib_complex64_t y;
+
+ for ( i = 0; i < 100; i++ ) {
+ u[ i ] = ( 1000.0f*rand_float() ) - 500.0f;
+ v[ i ] = ( 1000.0f*rand_float() ) - 500.0f;
+ }
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ x = stdlib_complex64( u[ i%100 ], v[ i%100 ] );
+ y = stdlib_base_cinvf( x );
+ stdlib_complex64_reim( y, &re, &im );
+ if ( re != re ) {
+ printf( "unexpected result\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( im != im ) {
+ printf( "unexpected result\n" );
+ }
+ return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+ double elapsed;
+ int i;
+
+ // Use the current time to seed the random number generator:
+ srand( time( NULL ) );
+
+ print_version();
+ for ( i = 0; i < REPEATS; i++ ) {
+ printf( "# c::native::%s\n", NAME );
+ elapsed = benchmark();
+ print_results( elapsed );
+ printf( "ok %d benchmark finished\n", i+1 );
+ }
+ print_summary( REPEATS, REPEATS );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/julia/REQUIRE
new file mode 100644
index 000000000000..98645e192e41
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+BenchmarkTools 0.5.0
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/julia/benchmark.jl b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/julia/benchmark.jl
new file mode 100755
index 000000000000..c59f2a33a199
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/benchmark/julia/benchmark.jl
@@ -0,0 +1,144 @@
+#!/usr/bin/env julia
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# 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 BenchmarkTools
+using Printf
+
+# Benchmark variables:
+name = "inv";
+repeats = 3;
+
+"""
+ print_version()
+
+Prints the TAP version.
+
+# Examples
+
+``` julia
+julia> print_version()
+```
+"""
+function print_version()
+ @printf( "TAP version 13\n" );
+end
+
+"""
+ print_summary( total, passing )
+
+Print the benchmark summary.
+
+# Arguments
+
+* `total`: total number of tests
+* `passing`: number of passing tests
+
+# Examples
+
+``` julia
+julia> print_summary( 3, 3 )
+```
+"""
+function print_summary( total, 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" );
+end
+
+"""
+ print_results( iterations, elapsed )
+
+Print benchmark results.
+
+# Arguments
+
+* `iterations`: number of iterations
+* `elapsed`: elapsed time (in seconds)
+
+# Examples
+
+``` julia
+julia> print_results( 1000000, 0.131009101868 )
+```
+"""
+function print_results( iterations, elapsed )
+ rate = iterations / elapsed
+
+ @printf( " ---\n" );
+ @printf( " iterations: %d\n", iterations );
+ @printf( " elapsed: %0.9f\n", elapsed );
+ @printf( " rate: %0.9f\n", rate );
+ @printf( " ...\n" );
+end
+
+"""
+ benchmark()
+
+Run a benchmark.
+
+# Notes
+
+* Benchmark results are returned as a two-element array: [ iterations, elapsed ].
+* The number of iterations is not the true number of iterations. Instead, an 'iteration' is defined as a 'sample', which is a computed estimate for a single evaluation.
+* The elapsed time is in seconds.
+
+# Examples
+
+``` julia
+julia> out = benchmark();
+```
+"""
+function benchmark()
+ t = BenchmarkTools.@benchmark inv(ComplexF32( (rand()*1000.0)-500.0, (rand()*1000.0)-500.0 )) samples=1e6
+
+ # Compute the total "elapsed" time and convert from nanoseconds to seconds:
+ s = sum( t.times ) / 1.0e9;
+
+ # Determine the number of "iterations":
+ iter = length( t.times );
+
+ # Return the results:
+ [ iter, s ];
+end
+
+"""
+ main()
+
+Run benchmarks.
+
+# Examples
+
+``` julia
+julia> main();
+```
+"""
+function main()
+ print_version();
+ for i in 1:repeats
+ @printf( "# julia::%s\n", name );
+ results = benchmark();
+ print_results( results[ 1 ], results[ 2 ] );
+ @printf( "ok %d benchmark finished\n", i );
+ end
+ print_summary( repeats, repeats );
+end
+
+main();
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/binding.gyp b/lib/node_modules/@stdlib/math/base/special/cinvf/binding.gyp
new file mode 100644
index 000000000000..68a1ca11d160
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/binding.gyp
@@ -0,0 +1,170 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# 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/cinvf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/cinvf/docs/repl.txt
new file mode 100644
index 000000000000..37c597852bc1
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/docs/repl.txt
@@ -0,0 +1,26 @@
+
+{{alias}}( z )
+ Computes the inverse of a single-precision complex floating-point number.
+
+ Parameters
+ ----------
+ z: Complex64
+ Complex number.
+
+ Returns
+ -------
+ out: Complex64
+ Result.
+
+ Examples
+ --------
+ > var v = {{alias}}( new {{alias:@stdlib/complex/float32/ctor}}( 2.0, 4.0 ) )
+
+ > var re = {{alias:@stdlib/complex/float32/real}}( v )
+ ~0.1
+ > var im = {{alias:@stdlib/complex/float32/imag}}( v )
+ ~-0.2
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/cinvf/docs/types/index.d.ts
new file mode 100644
index 000000000000..7f15446eeaba
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/docs/types/index.d.ts
@@ -0,0 +1,50 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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
+
+///
+
+import { Complex64 } from '@stdlib/types/complex';
+
+/**
+* Computes the inverse of a single-precision complex floating-point number.
+*
+* @param z - input value
+* @returns result
+*
+* @example
+* var Complex64 = require( '@stdlib/complex/float32/ctor' );
+* var realf = require( '@stdlib/complex/float32/real' );
+* var imagf = require( '@stdlib/complex/float32/imag' );
+*
+* var v = cinvf( new Complex64( 2.0, 4.0 ) );
+* // returns
+*
+* var re = realf( v );
+* // returns ~0.1
+*
+* var im = imagf( v );
+* // returns ~-0.2
+*/
+declare function cinvf( z: Complex64 ): Complex64;
+
+
+// EXPORTS //
+
+export = cinvf;
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/cinvf/docs/types/test.ts
new file mode 100644
index 000000000000..d5f89f7dabc4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/docs/types/test.ts
@@ -0,0 +1,45 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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 Complex64 = require( '@stdlib/complex/float32/ctor' );
+import cinvf = require( './index' );
+
+
+// TESTS //
+
+// The function returns a double-precision complex floating-point number...
+{
+ cinvf( new Complex64( 1.0, 2.0 ) ); // $ExpectType Complex64
+}
+
+// The compiler throws an error if the function is provided a value other than a complex number...
+{
+ cinvf( true ); // $ExpectError
+ cinvf( false ); // $ExpectError
+ cinvf( null ); // $ExpectError
+ cinvf( undefined ); // $ExpectError
+ cinvf( '5' ); // $ExpectError
+ cinvf( [] ); // $ExpectError
+ cinvf( {} ); // $ExpectError
+ cinvf( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+ cinvf(); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/cinvf/examples/c/Makefile
new file mode 100644
index 000000000000..25ced822f96a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/examples/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+else
+ QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+ CC := $(C_COMPILER)
+else
+ CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+ -std=c99 \
+ -O3 \
+ -Wall \
+ -pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+ fPIC ?=
+else
+ fPIC ?= -fPIC
+endif
+
+# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`):
+INCLUDE ?=
+
+# List of source files:
+SOURCE_FILES ?=
+
+# List of libraries (e.g., `-lopenblas -lpthread`):
+LIBRARIES ?=
+
+# List of library paths (e.g., `-L /foo/bar -L /beep/boop`):
+LIBPATH ?=
+
+# List of C targets:
+c_targets := example.out
+
+
+# RULES #
+
+#/
+# Compiles source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`)
+# @param {string} [SOURCE_FILES] - list of source files
+# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`)
+# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler (e.g., `gcc`)
+# @param {string} CFLAGS - C compiler options
+# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`)
+# @param {string} SOURCE_FILES - list of source files
+# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`)
+# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`)
+#/
+$(c_targets): %.out: %.c
+ $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
+
+#/
+# Runs compiled examples.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+ $(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+ $(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/cinvf/examples/c/example.c
new file mode 100644
index 000000000000..2f7e120e1777
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/examples/c/example.c
@@ -0,0 +1,46 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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/cinvf.h"
+#include "stdlib/complex/float32/ctor.h"
+#include "stdlib/complex/float32/reim.h"
+#include
+
+int main( void ) {
+ const stdlib_complex64_t x[] = {
+ stdlib_complex64( 3.14f, 1.5f ),
+ stdlib_complex64( -3.14f, -1.5f ),
+ stdlib_complex64( 0.0f, 0.0f ),
+ stdlib_complex64( 0.0f/0.0f, 0.0f/0.0f )
+ };
+
+ stdlib_complex64_t v;
+ stdlib_complex64_t y;
+ float re1;
+ float im1;
+ float re2;
+ float im2;
+ int i;
+ for ( i = 0; i < 4; i++ ) {
+ v = x[ i ];
+ y = stdlib_base_cinvf( v );
+ stdlib_complex64_reim( v, &re1, &im1 );
+ stdlib_complex64_reim( y, &re2, &im2 );
+ printf( "cinvf(%f + %fi) = %f + %fi\n", re1, im1, re2, im2 );
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/cinvf/examples/index.js
new file mode 100644
index 000000000000..0c0009eca510
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/examples/index.js
@@ -0,0 +1,30 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var Complex64Array = require( '@stdlib/array/complex64' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var cinvf = require( './../lib' );
+
+// Create an array of random numbers:
+var arr = new Complex64Array( uniform( 200, -100.0, 100.0 ) );
+
+// Compute the inverse of each number in the array:
+logEachMap( '1.0 / (%s) = %s', arr, cinvf );
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/include.gypi b/lib/node_modules/@stdlib/math/base/special/cinvf/include.gypi
new file mode 100644
index 000000000000..ecfaf82a3279
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/include.gypi
@@ -0,0 +1,53 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# 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': [
+ '
+*
+* var re = realf( v );
+* // returns ~0.1
+*
+* var im = imagf( v );
+* // returns ~-0.2
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/lib/main.js b/lib/node_modules/@stdlib/math/base/special/cinvf/lib/main.js
new file mode 100644
index 000000000000..8d77bae1bfe2
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/lib/main.js
@@ -0,0 +1,110 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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 absf = require( '@stdlib/math/base/special/absf' );
+var maxf = require( '@stdlib/math/base/special/maxf' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var FLOAT32_BIGGEST = require( '@stdlib/constants/float32/max' );
+var FLOAT32_SMALLEST = require( '@stdlib/constants/float32/smallest-normal' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var realf = require( '@stdlib/complex/float32/real' );
+var imagf = require( '@stdlib/complex/float32/imag' );
+
+
+// VARIABLES //
+
+var ONE = f32( 1.0 );
+var TWO = f32( 2.0 );
+var HALF = f32( 0.5 );
+var LARGE_THRESHOLD = f32( FLOAT32_BIGGEST * HALF );
+var SMALL_THRESHOLD = f32( FLOAT32_SMALLEST * f32( TWO/EPS ) );
+var RECIP_EPS_SQR = f32( TWO / f32(EPS*EPS) );
+
+
+// MAIN //
+
+/**
+* Computes the inverse of a single-precision complex floating-point number.
+*
+* ## References
+*
+* - Baudin, Michael, and Robert L. Smith. 2012. "A Robust Complex Division in Scilab." _arXiv_ abs/1210.4539 \[cs.MS\] (October): 1–25. .
+*
+* @param {Complex64} z - complex number
+* @returns {Complex64} result
+*
+* @example
+* var Complex64 = require( '@stdlib/complex/float32/ctor' );
+* var realf = require( '@stdlib/complex/float32/real' );
+* var imagf = require( '@stdlib/complex/float32/imag' );
+*
+* var v = cinvf( new Complex64( 2.0, 4.0 ) );
+* // returns
+*
+* var re = realf( v );
+* // returns ~0.1
+*
+* var im = imagf( v );
+* // returns ~-0.2
+*/
+function cinvf( z ) {
+ var ab;
+ var re;
+ var im;
+ var s;
+ var r;
+ var t;
+
+ re = realf( z );
+ im = imagf( z );
+ ab = maxf( absf(re), absf(im) );
+ s = ONE;
+ if ( ab >= LARGE_THRESHOLD ) {
+ re = f32( re * HALF );
+ im = f32( im * HALF );
+ s = f32( s * HALF );
+ } else if ( ab <= SMALL_THRESHOLD ) {
+ re = f32( re * RECIP_EPS_SQR );
+ im = f32( im * RECIP_EPS_SQR );
+ s = f32( s * RECIP_EPS_SQR );
+ }
+ if ( absf( im ) <= absf( re ) ) {
+ r = f32( im / re );
+ t = f32( ONE / f32( re + f32(im*r) ) );
+ re = t;
+ im = f32( -r * t );
+ } else {
+ r = f32( re / im );
+ t = f32( ONE / f32( im + f32(re*r) ) );
+ re = f32( r * t );
+ im = -t;
+ }
+ re = f32( re * s );
+ im = f32( im * s );
+ return new Complex64( re, im );
+}
+
+
+// EXPORTS //
+
+module.exports = cinvf;
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/lib/native.js b/lib/node_modules/@stdlib/math/base/special/cinvf/lib/native.js
new file mode 100644
index 000000000000..7ec05a39d143
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/lib/native.js
@@ -0,0 +1,58 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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 Complex64 = require( '@stdlib/complex/float32/ctor' );
+var addon = require( './../src/addon.node' );
+
+
+// MAIN //
+
+/**
+* Computes the inverse of a single-precision complex floating-point number.
+*
+* @private
+* @param {Complex64} z - complex number
+* @returns {Complex64} result
+*
+* @example
+* var Complex64 = require( '@stdlib/complex/float32/ctor' );
+* var realf = require( '@stdlib/complex/float32/real' );
+* var imagf = require( '@stdlib/complex/float32/imag' );
+*
+* var v = cinvf( new Complex64( 2.0, 4.0 ) );
+* // returns
+*
+* var re = realf( v );
+* // returns ~0.1
+*
+* var im = imagf( v );
+* // returns ~-0.2
+*/
+function cinvf( z ) {
+ var v = addon( z );
+ return new Complex64( v.re, v.im );
+}
+
+
+// EXPORTS //
+
+module.exports = cinvf;
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/manifest.json b/lib/node_modules/@stdlib/math/base/special/cinvf/manifest.json
new file mode 100644
index 000000000000..8a98486c54d2
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/manifest.json
@@ -0,0 +1,91 @@
+{
+ "options": {
+ "task": "build"
+ },
+ "fields": [
+ {
+ "field": "src",
+ "resolve": true,
+ "relative": true
+ },
+ {
+ "field": "include",
+ "resolve": true,
+ "relative": true
+ },
+ {
+ "field": "libraries",
+ "resolve": false,
+ "relative": false
+ },
+ {
+ "field": "libpath",
+ "resolve": true,
+ "relative": false
+ }
+ ],
+ "confs": [
+ {
+ "task": "build",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/math/base/napi/unary",
+ "@stdlib/complex/float32/ctor",
+ "@stdlib/complex/float32/reim",
+ "@stdlib/math/base/special/absf",
+ "@stdlib/math/base/special/maxf",
+ "@stdlib/constants/float32/max",
+ "@stdlib/constants/float32/eps",
+ "@stdlib/constants/float32/smallest-normal"
+ ]
+ },
+ {
+ "task": "benchmark",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/complex/float32/ctor",
+ "@stdlib/complex/float32/reim",
+ "@stdlib/math/base/special/absf",
+ "@stdlib/math/base/special/maxf",
+ "@stdlib/constants/float32/max",
+ "@stdlib/constants/float32/eps",
+ "@stdlib/constants/float32/smallest-normal"
+ ]
+ },
+ {
+ "task": "examples",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/complex/float32/ctor",
+ "@stdlib/complex/float32/reim",
+ "@stdlib/math/base/special/absf",
+ "@stdlib/math/base/special/maxf",
+ "@stdlib/constants/float32/max",
+ "@stdlib/constants/float32/eps",
+ "@stdlib/constants/float32/smallest-normal"
+ ]
+ }
+ ]
+}
+
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/package.json b/lib/node_modules/@stdlib/math/base/special/cinvf/package.json
new file mode 100644
index 000000000000..eb73410cb1e3
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/package.json
@@ -0,0 +1,69 @@
+{
+ "name": "@stdlib/math/base/special/cinvf",
+ "version": "0.0.0",
+ "description": "Compute the inverse of a single-precision complex floating-point number.",
+ "license": "Apache-2.0",
+ "author": {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ },
+ "contributors": [
+ {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ }
+ ],
+ "main": "./lib",
+ "gypfile": true,
+ "directories": {
+ "benchmark": "./benchmark",
+ "doc": "./docs",
+ "example": "./examples",
+ "include": "./include",
+ "lib": "./lib",
+ "src": "./src",
+ "test": "./test"
+ },
+ "types": "./docs/types",
+ "scripts": {},
+ "homepage": "https://github.com/stdlib-js/stdlib",
+ "repository": {
+ "type": "git",
+ "url": "git://github.com/stdlib-js/stdlib.git"
+ },
+ "bugs": {
+ "url": "https://github.com/stdlib-js/stdlib/issues"
+ },
+ "dependencies": {},
+ "devDependencies": {},
+ "engines": {
+ "node": ">=0.10.0",
+ "npm": ">2.7.0"
+ },
+ "os": [
+ "aix",
+ "darwin",
+ "freebsd",
+ "linux",
+ "macos",
+ "openbsd",
+ "sunos",
+ "win32",
+ "windows"
+ ],
+ "keywords": [
+ "stdlib",
+ "stdmath",
+ "mathematics",
+ "math",
+ "cinv",
+ "cinvf",
+ "inv",
+ "inverse",
+ "reciprocal",
+ "arithmetic",
+ "complex",
+ "cmplx",
+ "number"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/src/Makefile b/lib/node_modules/@stdlib/math/base/special/cinvf/src/Makefile
new file mode 100644
index 000000000000..7733b6180cb4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/src/Makefile
@@ -0,0 +1,70 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# 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/cinvf/src/addon.c b/lib/node_modules/@stdlib/math/base/special/cinvf/src/addon.c
new file mode 100644
index 000000000000..89b0031e344c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/src/addon.c
@@ -0,0 +1,22 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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/cinvf.h"
+#include "stdlib/math/base/napi/unary.h"
+
+STDLIB_MATH_BASE_NAPI_MODULE_C_C( stdlib_base_cinvf )
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/src/main.c b/lib/node_modules/@stdlib/math/base/special/cinvf/src/main.c
new file mode 100644
index 000000000000..1e8677a19624
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/src/main.c
@@ -0,0 +1,99 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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/cinvf.h"
+#include "stdlib/math/base/special/absf.h"
+#include "stdlib/math/base/special/maxf.h"
+#include "stdlib/constants/float32/max.h"
+#include "stdlib/constants/float32/eps.h"
+#include "stdlib/constants/float32/smallest_normal.h"
+#include "stdlib/complex/float32/ctor.h"
+#include "stdlib/complex/float32/reim.h"
+
+
+// VARIABLES //
+
+static const float LARGE_THRESHOLD = STDLIB_CONSTANT_FLOAT32_MAX * 0.5f;
+static const float SMALL_THRESHOLD = STDLIB_CONSTANT_FLOAT32_SMALLEST_NORMAL * ( 2.0f / STDLIB_CONSTANT_FLOAT32_EPS );
+static const float RECIP_EPS_SQR = 2.0f / ( STDLIB_CONSTANT_FLOAT32_EPS * STDLIB_CONSTANT_FLOAT32_EPS );
+
+
+// MAIN //
+
+/**
+* Computes the inverse of a single-precision complex floating-point number.
+*
+* ## References
+*
+* - Baudin, Michael, and Robert L. Smith. 2012. "A Robust Complex Division in Scilab." _arXiv_ abs/1210.4539 \[cs.MS\] (October): 1–25. .
+*
+* @param z input value
+* @return result
+*
+* @example
+* #include "stdlib/complex/float32/ctor.h"
+* #include "stdlib/complex/float32/real.h"
+* #include "stdlib/complex/float32/imag.h"
+*
+* stdlib_complex64_t z = stdlib_complex64( 2.0f, 4.0f );
+*
+* stdlib_complex64_t out = stdlib_base_cinvf( z );
+*
+* float re = stdlib_complex64_real( out );
+* // returns 0.1f
+*
+* float im = stdlib_complex64_imag( out );
+* // returns -0.2f
+*/
+stdlib_complex64_t stdlib_base_cinvf( const stdlib_complex64_t z ) {
+ float re;
+ float im;
+ float ab;
+ float s;
+ float r;
+ float t;
+
+ stdlib_complex64_reim( z, &re, &im );
+
+ ab = stdlib_base_maxf( stdlib_base_absf( re ), stdlib_base_absf( im ) );
+ s = 1.0f;
+ if ( ab >= LARGE_THRESHOLD ) {
+ re *= 0.5f;
+ im *= 0.5f;
+ s *= 0.5f;
+ }
+ else if ( ab <= SMALL_THRESHOLD ) {
+ re *= RECIP_EPS_SQR;
+ im *= RECIP_EPS_SQR;
+ s *= RECIP_EPS_SQR;
+ }
+ if ( stdlib_base_absf( im ) <= stdlib_base_absf( re ) ) {
+ r = im / re;
+ t = 1.0f / ( re + (im * r) );
+ re = t;
+ im = -r * t;
+ } else {
+ r = re / im;
+ t = 1.0f / ( im + (re * r) );
+ re = r * t;
+ im = -t;
+ }
+ re *= s;
+ im *= s;
+ return stdlib_complex64( re, im );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/REQUIRE
new file mode 100644
index 000000000000..308c3be89c85
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/data.json b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/data.json
new file mode 100644
index 000000000000..5f634d856de8
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/data.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/large_negative_imaginary_components.json b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/large_negative_imaginary_components.json
new file mode 100644
index 000000000000..0e2c5983a967
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/large_negative_imaginary_components.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/large_negative_real_components.json b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/large_negative_real_components.json
new file mode 100644
index 000000000000..a910174e6191
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/large_negative_real_components.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/large_positive_imaginary_components.json b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/large_positive_imaginary_components.json
new file mode 100644
index 000000000000..2b93a926eb1f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/large_positive_imaginary_components.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/large_positive_real_components.json b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/large_positive_real_components.json
new file mode 100644
index 000000000000..c2b737481f2b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/large_positive_real_components.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/runner.jl
new file mode 100755
index 000000000000..77f31bcfa143
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/runner.jl
@@ -0,0 +1,116 @@
+#!/usr/bin/env julia
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+import JSON
+
+"""
+ gen( re, im, name )
+
+Generate fixture data and write to file.
+
+# Arguments
+
+* `re`: real components for first complex number
+* `im`: imaginary components for first complex number
+* `name::AbstractString`: output filename
+
+# Examples
+
+``` julia
+julia> re = rand( 1000 );
+julia> im = rand( 1000 );
+julia> gen( re, im, \"data.json\" );
+```
+"""
+function gen( re, im, name )
+ zre = Array{Float32}( undef, length(re) );
+ zim = Array{Float32}( undef, length(re) );
+ for i in eachindex(re)
+ z = 1.0f0 / Complex{Float32}( re[i], im[i] );
+ zre[ i ] = real( z );
+ zim[ i ] = imag( z );
+ end
+
+ # Store data to be written to file as a collection:
+ data = Dict([
+ ("re", re),
+ ("im", im),
+ ("qre", zre),
+ ("qim", zim),
+ ]);
+
+ # Based on the script directory, create an output filepath:
+ filepath = joinpath( dir, name );
+
+ # Write the data to the output filepath as JSON:
+ outfile = open( filepath, "w" );
+ write( outfile, JSON.json(data) );
+ write( outfile, "\n" );
+ close( outfile );
+end
+
+# Get the filename:
+file = @__FILE__;
+
+# Extract the directory in which this file resides:
+dir = dirname( file );
+
+# Large positive real components:
+re = rand( 500 ) .* 1.0e30;
+im = ( rand( 500 ) .* 20.0 ) .- 10.0;
+gen( re, im, "large_positive_real_components.json" );
+
+# Large negative real components:
+re = -rand( 500 ) .* 1.0e30;
+im = ( rand( 500 ) .* 20.0 ) .- 10.0;
+gen( re, im, "large_negative_real_components.json" );
+
+# Large positive imaginary components:
+re = ( rand( 500 ) .* 20.0 ) .- 10.0;
+im = rand( 500 ) .* 1.0e30;
+gen( re, im, "large_positive_imaginary_components.json" );
+
+# Large negative imaginary components:
+re = ( rand( 500 ) .* 20.0 ) .- 10.0;
+im = -rand( 500 ) .* 1.0e30;
+gen( re, im, "large_negative_imaginary_components.json" );
+
+# Tiny positive real components:
+re = rand( 500 ) .* 1.0e-30;
+im = ( rand( 500 ) .* 20.0 ) .- 10.0;
+gen( re, im, "tiny_positive_real_components.json" );
+
+# Tiny negative real components:
+re = -rand( 500 ) .* 1.0e-30;
+im = ( rand( 500 ) .* 20.0 ) .- 10.0;
+gen( re, im, "tiny_negative_real_components.json" );
+
+# Tiny positive imaginary components:
+re = ( rand( 500 ) .* 20.0 ) .- 10.0;
+im = rand( 500 ) .* 1.0e-30;
+gen( re, im, "tiny_positive_imaginary_components.json" );
+
+# Tiny negative imaginary components:
+re = ( rand( 500 ) .* 20.0 ) .- 10.0;
+im = -rand( 500 ) .* 1.0e-30;
+gen( re, im, "tiny_negative_imaginary_components.json" );
+
+# Normal:
+re = ( rand( 500 ) .* 100.0 ) .- 50.0;
+im = ( rand( 500 ) .* 100.0 ) .- 50.0;
+gen( re, im, "data.json" );
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/tiny_negative_imaginary_components.json b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/tiny_negative_imaginary_components.json
new file mode 100644
index 000000000000..02bfde61f144
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/tiny_negative_imaginary_components.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/tiny_negative_real_components.json b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/tiny_negative_real_components.json
new file mode 100644
index 000000000000..b50c00eda761
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/tiny_negative_real_components.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/tiny_positive_imaginary_components.json b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/tiny_positive_imaginary_components.json
new file mode 100644
index 000000000000..e75588115759
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/tiny_positive_imaginary_components.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/tiny_positive_real_components.json b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/tiny_positive_real_components.json
new file mode 100644
index 000000000000..161bb3d755d7
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/test/fixtures/julia/tiny_positive_real_components.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/test/test.js b/lib/node_modules/@stdlib/math/base/special/cinvf/test/test.js
new file mode 100644
index 000000000000..c6bf34fde3cc
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/test/test.js
@@ -0,0 +1,446 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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.
+*/
+
+/* eslint-disable id-length */
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var absf = require( '@stdlib/math/base/special/absf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var realf = require( '@stdlib/complex/float32/real' );
+var imagf = require( '@stdlib/complex/float32/imag' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var cinvf = require( './../lib' );
+
+
+// FIXTURES //
+
+var data = require( './fixtures/julia/data.json' );
+var largeNegativeImaginaryComponents = require( './fixtures/julia/large_negative_imaginary_components.json' );
+var largeNegativeRealComponents = require( './fixtures/julia/large_negative_real_components.json' );
+var largePositiveImaginaryComponents = require( './fixtures/julia/large_positive_imaginary_components.json' );
+var largePositiveRealComponents = require( './fixtures/julia/large_positive_real_components.json' );
+var tinyNegativeImaginaryComponents = require( './fixtures/julia/tiny_negative_imaginary_components.json' );
+var tinyNegativeRealComponents = require( './fixtures/julia/tiny_negative_real_components.json' );
+var tinyPositiveImaginaryComponents = require( './fixtures/julia/tiny_positive_imaginary_components.json' );
+var tinyPositiveRealComponents = require( './fixtures/julia/tiny_positive_real_components.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof cinvf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the inverse of a single-precision complex floating-point number', function test( t ) {
+ var v;
+
+ v = cinvf( new Complex64( 2.0, 4.0 ) );
+ t.strictEqual( realf( v ), float64ToFloat32( 0.1 ), 'returns expected value' );
+ t.strictEqual( imagf( v ), float64ToFloat32( -0.2 ), 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function computes a complex inverse', function test( t ) {
+ var delta;
+ var qre;
+ var qim;
+ var tol;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = data.re;
+ im = data.im;
+ qre = data.qre;
+ qim = data.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = 1.4 * EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = 1.4 * EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (large negative imaginary components)', function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = largeNegativeImaginaryComponents.re;
+ im = largeNegativeImaginaryComponents.im;
+ qre = largeNegativeImaginaryComponents.qre;
+ qim = largeNegativeImaginaryComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (large negative real components)', function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = largeNegativeRealComponents.re;
+ im = largeNegativeRealComponents.im;
+ qre = largeNegativeRealComponents.qre;
+ qim = largeNegativeRealComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (large positive imaginary components)', function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = largePositiveImaginaryComponents.re;
+ im = largePositiveImaginaryComponents.im;
+ qre = largePositiveImaginaryComponents.qre;
+ qim = largePositiveImaginaryComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (large positive real components)', function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = largePositiveRealComponents.re;
+ im = largePositiveRealComponents.im;
+ qre = largePositiveRealComponents.qre;
+ qim = largePositiveRealComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (tiny negative imaginary components)', function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = tinyNegativeImaginaryComponents.re;
+ im = tinyNegativeImaginaryComponents.im;
+ qre = tinyNegativeImaginaryComponents.qre;
+ qim = tinyNegativeImaginaryComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = 1.5 * EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (tiny negative real components)', function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = tinyNegativeRealComponents.re;
+ im = tinyNegativeRealComponents.im;
+ qre = tinyNegativeRealComponents.qre;
+ qim = tinyNegativeRealComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = 1.5 * EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (tiny positive imaginary components)', function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = tinyPositiveImaginaryComponents.re;
+ im = tinyPositiveImaginaryComponents.im;
+ qre = tinyPositiveImaginaryComponents.qre;
+ qim = tinyPositiveImaginaryComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = 1.3 * EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (tiny positive real components)', function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = tinyPositiveRealComponents.re;
+ im = tinyPositiveRealComponents.im;
+ qre = tinyPositiveRealComponents.qre;
+ qim = tinyPositiveRealComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = 1.6 * EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function may overflow', function test( t ) {
+ var v;
+
+ v = cinvf( new Complex64( 5.0e-40, 5.0e-40 ) );
+ t.strictEqual( realf( v ), PINF, 'returns expected value' );
+ t.strictEqual( imagf( v ), NINF, 'returns expected value' );
+
+ v = cinvf( new Complex64( -5.0e-40, 5.0e-40 ) );
+ t.strictEqual( realf( v ), NINF, 'returns expected value' );
+ t.strictEqual( imagf( v ), NINF, 'returns expected value' );
+
+ v = cinvf( new Complex64( -5.0e-40, -5.0e-40 ) );
+ t.strictEqual( realf( v ), NINF, 'returns expected value' );
+ t.strictEqual( imagf( v ), PINF, 'returns expected value' );
+
+ v = cinvf( new Complex64( 5.0e-40, -5.0e-40 ) );
+ t.strictEqual( realf( v ), PINF, 'returns expected value' );
+ t.strictEqual( imagf( v ), PINF, 'returns expected value' );
+
+ v = cinvf( new Complex64( 0.0, 5.0e-40 ) );
+ t.strictEqual( realf( v ), 0.0, 'returns expected value' );
+ t.strictEqual( imagf( v ), NINF, 'returns expected value' );
+
+ v = cinvf( new Complex64( 0.0, -5.0e-40 ) );
+ t.strictEqual( realf( v ), 0.0, 'returns expected value' );
+ t.strictEqual( imagf( v ), PINF, 'returns expected value' );
+
+ v = cinvf( new Complex64( 5.0e-40, 0.0 ) );
+ t.strictEqual( realf( v ), PINF, 'returns expected value' );
+ t.strictEqual( imagf( v ), 0.0, 'returns expected value' );
+
+ v = cinvf( new Complex64( -5.0e-40, 0.0 ) );
+ t.strictEqual( realf( v ), NINF, 'returns expected value' );
+ t.strictEqual( imagf( v ), 0.0, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if a real or imaginary component is `NaN`, all components are `NaN`', function test( t ) {
+ var v;
+
+ v = cinvf( new Complex64( NaN, 3.0 ) );
+ t.strictEqual( isnanf( realf( v ) ), true, 'returns expected value' );
+ t.strictEqual( isnanf( imagf( v ) ), true, 'returns expected value' );
+
+ v = cinvf( new Complex64( 5.0, NaN ) );
+ t.strictEqual( isnanf( realf( v ) ), true, 'returns expected value' );
+ t.strictEqual( isnanf( imagf( v ) ), true, 'returns expected value' );
+
+ v = cinvf( new Complex64( NaN, NaN ) );
+ t.strictEqual( isnanf( realf( v ) ), true, 'returns expected value' );
+ t.strictEqual( isnanf( imagf( v ) ), true, 'returns expected value' );
+
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/cinvf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/cinvf/test/test.native.js
new file mode 100644
index 000000000000..b5ea7318475e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/cinvf/test/test.native.js
@@ -0,0 +1,455 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* 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.
+*/
+
+/* eslint-disable id-length */
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var absf = require( '@stdlib/math/base/special/absf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var NINF = require( '@stdlib/constants/float32/ninf' );
+var Complex64 = require( '@stdlib/complex/float32/ctor' );
+var realf = require( '@stdlib/complex/float32/real' );
+var imagf = require( '@stdlib/complex/float32/imag' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+
+// VARIABLES //
+
+var cinvf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( cinvf instanceof Error )
+};
+
+
+// FIXTURES //
+
+var data = require( './fixtures/julia/data.json' );
+var largeNegativeImaginaryComponents = require( './fixtures/julia/large_negative_imaginary_components.json' );
+var largeNegativeRealComponents = require( './fixtures/julia/large_negative_real_components.json' );
+var largePositiveImaginaryComponents = require( './fixtures/julia/large_positive_imaginary_components.json' );
+var largePositiveRealComponents = require( './fixtures/julia/large_positive_real_components.json' );
+var tinyNegativeImaginaryComponents = require( './fixtures/julia/tiny_negative_imaginary_components.json' );
+var tinyNegativeRealComponents = require( './fixtures/julia/tiny_negative_real_components.json' );
+var tinyPositiveImaginaryComponents = require( './fixtures/julia/tiny_positive_imaginary_components.json' );
+var tinyPositiveRealComponents = require( './fixtures/julia/tiny_positive_real_components.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof cinvf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the inverse of a single-precision complex floating-point number', opts, function test( t ) {
+ var v;
+
+ v = cinvf( new Complex64( 2.0, 4.0 ) );
+ t.strictEqual( realf( v ), float64ToFloat32( 0.1 ), 'returns expected value' );
+ t.strictEqual( imagf( v ), float64ToFloat32( -0.2 ), 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function computes a complex inverse', opts, function test( t ) {
+ var delta;
+ var qre;
+ var qim;
+ var tol;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = data.re;
+ im = data.im;
+ qre = data.qre;
+ qim = data.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = 1.4 * EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = 1.4 * EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (large negative imaginary components)', opts, function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = largeNegativeImaginaryComponents.re;
+ im = largeNegativeImaginaryComponents.im;
+ qre = largeNegativeImaginaryComponents.qre;
+ qim = largeNegativeImaginaryComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (large negative real components)', opts, function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = largeNegativeRealComponents.re;
+ im = largeNegativeRealComponents.im;
+ qre = largeNegativeRealComponents.qre;
+ qim = largeNegativeRealComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (large positive imaginary components)', opts, function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = largePositiveImaginaryComponents.re;
+ im = largePositiveImaginaryComponents.im;
+ qre = largePositiveImaginaryComponents.qre;
+ qim = largePositiveImaginaryComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (large positive real components)', opts, function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = largePositiveRealComponents.re;
+ im = largePositiveRealComponents.im;
+ qre = largePositiveRealComponents.qre;
+ qim = largePositiveRealComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (tiny negative imaginary components)', opts, function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = tinyNegativeImaginaryComponents.re;
+ im = tinyNegativeImaginaryComponents.im;
+ qre = tinyNegativeImaginaryComponents.qre;
+ qim = tinyNegativeImaginaryComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = 1.5 * EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (tiny negative real components)', opts, function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = tinyNegativeRealComponents.re;
+ im = tinyNegativeRealComponents.im;
+ qre = tinyNegativeRealComponents.qre;
+ qim = tinyNegativeRealComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = 1.5 * EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (tiny positive imaginary components)', opts, function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = tinyPositiveImaginaryComponents.re;
+ im = tinyPositiveImaginaryComponents.im;
+ qre = tinyPositiveImaginaryComponents.qre;
+ qim = tinyPositiveImaginaryComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = 1.3 * EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes a complex inverse (tiny positive real components)', opts, function test( t ) {
+ var delta;
+ var tol;
+ var qre;
+ var qim;
+ var re;
+ var im;
+ var i;
+ var q;
+
+ re = tinyPositiveRealComponents.re;
+ im = tinyPositiveRealComponents.im;
+ qre = tinyPositiveRealComponents.qre;
+ qim = tinyPositiveRealComponents.qim;
+
+ for ( i = 0; i < re.length; i++ ) {
+ q = cinvf( new Complex64( re[ i ], im[ i ] ) );
+
+ if ( realf( q ) === qre[ i ] ) {
+ t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
+ } else {
+ delta = absf( realf( q ) - qre[ i ] );
+ tol = 1.6 * EPS * absf( qre[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ if ( imagf( q ) === qim[ i ] ) {
+ t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
+ } else {
+ delta = absf( imagf( q ) - qim[ i ] );
+ tol = EPS * absf( qim[ i ] );
+ t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function may overflow', opts, function test( t ) {
+ var v;
+
+ v = cinvf( new Complex64( 5.0e-40, 5.0e-40 ) );
+ t.strictEqual( realf( v ), PINF, 'returns expected value' );
+ t.strictEqual( imagf( v ), NINF, 'returns expected value' );
+
+ v = cinvf( new Complex64( -5.0e-40, 5.0e-40 ) );
+ t.strictEqual( realf( v ), NINF, 'returns expected value' );
+ t.strictEqual( imagf( v ), NINF, 'returns expected value' );
+
+ v = cinvf( new Complex64( -5.0e-40, -5.0e-40 ) );
+ t.strictEqual( realf( v ), NINF, 'returns expected value' );
+ t.strictEqual( imagf( v ), PINF, 'returns expected value' );
+
+ v = cinvf( new Complex64( 5.0e-40, -5.0e-40 ) );
+ t.strictEqual( realf( v ), PINF, 'returns expected value' );
+ t.strictEqual( imagf( v ), PINF, 'returns expected value' );
+
+ v = cinvf( new Complex64( 0.0, 5.0e-40 ) );
+ t.strictEqual( realf( v ), 0.0, 'returns expected value' );
+ t.strictEqual( imagf( v ), NINF, 'returns expected value' );
+
+ v = cinvf( new Complex64( 0.0, -5.0e-40 ) );
+ t.strictEqual( realf( v ), 0.0, 'returns expected value' );
+ t.strictEqual( imagf( v ), PINF, 'returns expected value' );
+
+ v = cinvf( new Complex64( 5.0e-40, 0.0 ) );
+ t.strictEqual( realf( v ), PINF, 'returns expected value' );
+ t.strictEqual( imagf( v ), 0.0, 'returns expected value' );
+
+ v = cinvf( new Complex64( -5.0e-40, 0.0 ) );
+ t.strictEqual( realf( v ), NINF, 'returns expected value' );
+ t.strictEqual( imagf( v ), 0.0, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if a real or imaginary component is `NaN`, all components are `NaN`', opts, function test( t ) {
+ var v;
+
+ v = cinvf( new Complex64( NaN, 3.0 ) );
+ t.strictEqual( isnanf( realf( v ) ), true, 'returns expected value' );
+ t.strictEqual( isnanf( imagf( v ) ), true, 'returns expected value' );
+
+ v = cinvf( new Complex64( 5.0, NaN ) );
+ t.strictEqual( isnanf( realf( v ) ), true, 'returns expected value' );
+ t.strictEqual( isnanf( imagf( v ) ), true, 'returns expected value' );
+
+ v = cinvf( new Complex64( NaN, NaN ) );
+ t.strictEqual( isnanf( realf( v ) ), true, 'returns expected value' );
+ t.strictEqual( isnanf( imagf( v ) ), true, 'returns expected value' );
+
+ t.end();
+});