diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/README.md b/lib/node_modules/@stdlib/math/base/special/lucasf/README.md
new file mode 100644
index 000000000000..54dec9ed4eb6
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/README.md
@@ -0,0 +1,243 @@
+
+
+# Lucasf
+
+> Compute the nth [Lucas number][lucas-number] as a single-precision floating-point number.
+
+
+
+The [Lucas numbers][lucas-number] are the integer sequence
+
+
+
+```math
+2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, \ldots
+```
+
+
+
+The sequence is defined by the recurrence relation
+
+
+
+```math
+L_n = \begin{cases}2 & \textrm{if}\ n = 0\\1 & \textrm{if}\ n = 1\\L_{n-1} + L_{n-2} & \textrm{if}\ n > 1\end{cases}
+```
+
+
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var lucasf = require( '@stdlib/math/base/special/lucasf' );
+```
+
+#### lucasf( n )
+
+Compute the nth [Lucas number][lucas-number] as a single-precision floating-point number.
+
+```javascript
+var v = lucasf( 0 );
+// returns 2
+
+v = lucasf( 1 );
+// returns 1
+
+v = lucasf( 2 );
+// returns 3
+
+v = lucasf( 3 );
+// returns 4
+
+v = lucasf( 34 );
+// returns 12752043
+```
+
+If `n > 34`, the function returns `NaN`, as larger [Lucas numbers][lucas-number] cannot be safely represented in [single-precision floating-point format][ieee754].
+
+```javascript
+var v = lucasf( 35 );
+// returns NaN
+```
+
+If not provided a nonnegative integer value, the function returns `NaN`.
+
+```javascript
+var v = lucasf( 3.14 );
+// returns NaN
+
+v = lucasf( -1 );
+// returns NaN
+```
+
+If provided `NaN`, the function returns `NaN`.
+
+```javascript
+var v = lucasf( NaN );
+// returns NaN
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var linespace = require( '@stdlib/array/base/linspace' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var lucasf = require( '@stdlib/math/base/special/lucasf' );
+
+var opts = {
+ 'dtype': 'float64'
+};
+var x = linespace( 0, 34, 35, opts );
+
+logEachMap( 'lucasf(%d) = %d', x, lucasf );
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/lucasf.h"
+```
+
+#### stdlib_base_lucasf( n )
+
+Compute the nth [Lucas number][lucas-number] as a single-precision floating-point number.
+
+```c
+float out = stdlib_base_lucasf( 0 );
+// returns 2.0f
+
+out = stdlib_base_lucasf( 1 );
+// returns 1.0f
+```
+
+The function accepts the following arguments:
+
+- **n**: `[in] int32_t` input value.
+
+```c
+float stdlib_base_lucasf( const int32_t n );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/lucasf.h"
+#include
+#include
+
+int main( void ) {
+ int32_t i;
+ float v;
+
+ for ( i = 0; i < 35; i++ ) {
+ v = stdlib_base_lucasf( i );
+ printf( "lucasf(%d) = %lf\n", i, v );
+ }
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[lucas-number]: https://en.wikipedia.org/wiki/Lucas_number
+
+[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/benchmark.js
new file mode 100644
index 000000000000..7fc45050a676
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/benchmark.js
@@ -0,0 +1,307 @@
+/**
+* @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 discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var roundf = require( '@stdlib/math/base/special/roundf' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var PHI = require( '@stdlib/constants/float32/phi' );
+var zeros = require( '@stdlib/array/base/zeros' );
+var pkg = require( './../package.json' ).name;
+var LUCAS = require( './../lib/lucas.json' );
+var lucasf = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = discreteUniform( 100, 0, 34, {
+ 'dtype': 'float32'
+ });
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = lucasf( x[ i%x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
+
+bench( pkg+'::analytic', function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = discreteUniform( 100, 0, 34, {
+ 'dtype': 'float32'
+ });
+
+ function lucasf( n ) {
+ // TODO: replace with `powf` when available
+ return roundf( pow( PHI, n ) );
+ }
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = lucasf( x[ i%x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
+
+bench( pkg+'::table', function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = discreteUniform( 100, 0, 34, {
+ 'dtype': 'float32'
+ });
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = LUCAS[ x[ i%x.length ] ];
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
+
+bench( pkg+'::naive_recursion', function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ function lucasf( n ) {
+ if ( n === 0 ) {
+ return 2;
+ }
+ if ( n === 1 ) {
+ return 1;
+ }
+ return lucasf( n-1 ) + lucasf( n-2 );
+ }
+
+ x = discreteUniform( 100, 0, 20, {
+ 'dtype': 'float32'
+ });
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = lucasf( x[ i%x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
+
+bench( pkg+'::recursion_memoized', function benchmark( b ) {
+ var arr;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ arr = zeros( 35 );
+ arr[ 0 ] = 2;
+ arr[ 1 ] = 1;
+ N = 1;
+
+ function lucasf( n ) {
+ if ( n <= N ) {
+ return arr[ n ];
+ }
+ arr[ n ] = lucasf( n-1 ) + lucasf( n-2 );
+ return arr[ n ];
+ }
+
+ x = discreteUniform( 100, 0, 20, {
+ 'dtype': 'float32'
+ });
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = lucasf( x[ i%x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
+
+bench( pkg+'::naive_iterative', function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ function lucasf( n ) {
+ var arr;
+ var i;
+
+ arr = zeros( n+1 );
+ arr[ 0 ] = 2;
+ arr[ 1 ] = 1;
+ for ( i = 2; i <= n; i++ ) {
+ arr[ i ] = arr[ i-1 ] + arr[ i-2 ];
+ }
+ return arr[ n ];
+ }
+
+ x = discreteUniform( 100, 0, 34, {
+ 'dtype': 'float32'
+ });
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = lucasf( x[ i%x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
+
+bench( pkg+'::iterative', function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ function lucasf( n ) {
+ var a;
+ var b;
+ var c;
+ var i;
+
+ a = 2;
+ if ( n === 0 ) {
+ return a;
+ }
+ b = 1;
+ for ( i = 2; i <= n; i++ ) {
+ c = a + b;
+ a = b;
+ b = c;
+ }
+ return b;
+ }
+
+ x = discreteUniform( 100, 0, 34, {
+ 'dtype': 'float32'
+ });
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = lucasf( x[ i%x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
+
+bench( pkg+'::iterative_memoized', function benchmark( b ) {
+ var arr;
+ var N;
+ var x;
+ var y;
+ var i;
+
+ arr = zeros( 35 );
+ arr[ 0 ] = 2;
+ arr[ 1 ] = 1;
+ N = 1;
+
+ function lucasf( n ) {
+ var i;
+ if ( n > N ) {
+ for ( i = N+1; i <= n; i++ ) {
+ arr[ i ] = arr[ i-1 ] + arr[ i-2 ];
+ }
+ N = n;
+ }
+ return arr[ n ];
+ }
+
+ x = discreteUniform( 100, 0, 34, {
+ 'dtype': 'float32'
+ });
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = lucasf( x[ i%x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..fe231c6bb2ec
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/benchmark.native.js
@@ -0,0 +1,63 @@
+/**
+* @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 discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var lucasf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( lucasf instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = discreteUniform( 100, 0, 34, {
+ 'dtype': 'float32'
+ });
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = lucasf( x[ i%x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/c/Makefile
new file mode 100644
index 000000000000..d564e8b2d6f9
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/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/lucasf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..9f04619f171e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/c/benchmark.c
@@ -0,0 +1,151 @@
+/**
+* @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 "lucas::naive_recursion"
+#define ITERATIONS 100
+#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 );
+}
+
+/**
+* Computes the nth Lucas number in single-precision floating-point format.
+*
+* @param n Lucas number to compute
+* @return Lucas number
+*/
+int lucasf( int n ) {
+ if ( n == 0 ) {
+ return 2;
+ }
+ if ( n == 1 ) {
+ return 1;
+ }
+ return lucasf( n-1 ) + lucasf( n-2 );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+ double elapsed;
+ int x[ 100 ];
+ double t;
+ int y;
+ int i;
+
+ for ( i = 0; i < 100; i++ ) {
+ x[ i ] = (int)floorf( 20.0*rand_float() );
+ }
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ y = lucasf( x[ i%100 ] );
+ if ( y < 0 ) {
+ printf( "should return a nonnegative integer\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( y < 0 ) {
+ printf( "should return a nonnegative integer\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/lucasf/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/c/native/Makefile
new file mode 100644
index 000000000000..a4bd7b38fd74
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/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/lucasf/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/c/native/benchmark.c
new file mode 100644
index 000000000000..a0ad9a10d098
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/c/native/benchmark.c
@@ -0,0 +1,136 @@
+/**
+* @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/lucasf.h"
+#include
+#include
+#include
+#include
+#include
+
+#define NAME "lucasf"
+#define ITERATIONS 100
+#define REPEATS 3
+
+/**
+* Prints the TAP version.
+*/
+void print_version() {
+ 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 ) {
+ int32_t x[ 100 ];
+ double elapsed;
+ double t;
+ float y;
+ int i;
+
+ for ( i = 0; i < 100; i++ ) {
+ x[ i ] = (int32_t)( 34.0f*rand_float() );
+ }
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ y = stdlib_base_lucasf( x[ i%100 ] );
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ }
+ return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+ double elapsed;
+ int i;
+
+ // Use the current time to seed the random number generator:
+ srand( time( NULL ) );
+
+ print_version();
+ for ( i = 0; i < REPEATS; i++ ) {
+ printf( "# c::native::%s\n", NAME );
+ elapsed = benchmark();
+ print_results( elapsed );
+ printf( "ok %d benchmark finished\n", i+1 );
+ }
+ print_summary( REPEATS, REPEATS );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/julia/REQUIRE
new file mode 100644
index 000000000000..98645e192e41
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+BenchmarkTools 0.5.0
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/julia/benchmark.jl b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/julia/benchmark.jl
new file mode 100644
index 000000000000..e2ddc92313ed
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/benchmark/julia/benchmark.jl
@@ -0,0 +1,156 @@
+#!/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 = "lucasf::naive_recursion";
+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()
+ # Define a Lucas recurrence relation:
+ function lucasf( n )
+ if n == 0
+ return 2;
+ end
+ if n == 1
+ return 1;
+ end
+ lucasf( n-1 ) + lucasf( n-2 );
+ end
+
+ # Benchmark:
+ t = BenchmarkTools.@benchmark $lucasf( floor( 20.0*rand() ) ) 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/lucasf/binding.gyp b/lib/node_modules/@stdlib/math/base/special/lucasf/binding.gyp
new file mode 100644
index 000000000000..68a1ca11d160
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/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/lucasf/docs/img/equation_lucas_recurrence_relation.svg b/lib/node_modules/@stdlib/math/base/special/lucasf/docs/img/equation_lucas_recurrence_relation.svg
new file mode 100644
index 000000000000..e2c3d6ada501
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/docs/img/equation_lucas_recurrence_relation.svg
@@ -0,0 +1,78 @@
+
\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/docs/img/equation_lucas_sequence.svg b/lib/node_modules/@stdlib/math/base/special/lucasf/docs/img/equation_lucas_sequence.svg
new file mode 100644
index 000000000000..244a9b9b00b9
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/docs/img/equation_lucas_sequence.svg
@@ -0,0 +1,71 @@
+
\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/lucasf/docs/repl.txt
new file mode 100644
index 000000000000..323bdcf0dc06
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/docs/repl.txt
@@ -0,0 +1,47 @@
+
+{{alias}}( n )
+ Computes the nth Lucas number as a single-precision floating-point number.
+
+ Lucas numbers follow the recurrence relation
+
+ L_n = L_{n-1} + L_{n-2}
+
+ with seed values L_0 = 2 and L_1 = 1.
+
+ If `n` is greater than `34`, the function returns `NaN`, as larger Lucas
+ numbers cannot be accurately represented due to limitations of single-
+ precision floating-point format.
+
+ If not provided a nonnegative integer value, the function returns `NaN`.
+
+ If provided `NaN`, the function returns `NaN`.
+
+ Parameters
+ ----------
+ n: integer
+ Input value.
+
+ Returns
+ -------
+ y: integer
+ Lucas number.
+
+ Examples
+ --------
+ > var y = {{alias}}( 0 )
+ 2
+ > y = {{alias}}( 1 )
+ 1
+ > y = {{alias}}( 2 )
+ 3
+ > y = {{alias}}( 3 )
+ 4
+ > y = {{alias}}( 4 )
+ 7
+ > y = {{alias}}( 35 )
+ NaN
+ > y = {{alias}}( NaN )
+ NaN
+
+ See Also
+ --------
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/lucasf/docs/types/index.d.ts
new file mode 100644
index 000000000000..18c2652b4ec7
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/docs/types/index.d.ts
@@ -0,0 +1,78 @@
+/*
+* @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
+
+/**
+* Computes the nth Lucas number as a single-precision floating-point number.
+*
+* ## Notes
+*
+* - Lucas numbers follow the recurrence relation `L_n = L_{n-1} + L_{n-2}` with seed values `L_0 = 2` and `L_1 = 1`.
+* - If `n` is greater than `34`, the function returns `NaN`, as larger Lucas numbers cannot be accurately represented due to limitations of single-precision floating-point format.
+* - If not provided a nonnegative integer value, the function returns `NaN`.
+*
+* @param n - the Lucas number to compute
+* @returns Lucas number
+*
+* @example
+* var y = lucasf( 0 );
+* // returns 2
+*
+* @example
+* var y = lucasf( 1 );
+* // returns 1
+*
+* @example
+* var y = lucasf( 2 );
+* // returns 3
+*
+* @example
+* var y = lucasf( 3 );
+* // returns 4
+*
+* @example
+* var y = lucasf( 4 );
+* // returns 7
+*
+* @example
+* var y = lucasf( 5 );
+* // returns 11
+*
+* @example
+* var y = lucasf( 6 );
+* // returns 18
+*
+* @example
+* var y = lucasf( NaN );
+* // returns NaN
+*
+* @example
+* var y = lucasf( 3.14 );
+* // returns NaN
+*
+* @example
+* var y = lucasf( -1.0 );
+* // returns NaN
+*/
+declare function lucasf( n: number ): number;
+
+
+// EXPORTS //
+
+export = lucasf;
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/lucasf/docs/types/test.ts
new file mode 100644
index 000000000000..f93f925554f1
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/docs/types/test.ts
@@ -0,0 +1,44 @@
+/*
+* @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 lucasf = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ lucasf( 8 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+ lucasf( true ); // $ExpectError
+ lucasf( false ); // $ExpectError
+ lucasf( null ); // $ExpectError
+ lucasf( undefined ); // $ExpectError
+ lucasf( '5' ); // $ExpectError
+ lucasf( [] ); // $ExpectError
+ lucasf( {} ); // $ExpectError
+ lucasf( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+ lucasf(); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/lucasf/examples/c/Makefile
new file mode 100644
index 000000000000..25ced822f96a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/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/lucasf/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/lucasf/examples/c/example.c
new file mode 100644
index 000000000000..38066bd5890e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/examples/c/example.c
@@ -0,0 +1,31 @@
+/**
+* @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/lucasf.h"
+#include
+#include
+
+int main( void ) {
+ int32_t i;
+ float v;
+
+ for ( i = 0; i < 35; i++ ) {
+ v = stdlib_base_lucasf( i );
+ printf( "lucasf(%d) = %lf\n", i, v );
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/lucasf/examples/index.js
new file mode 100644
index 000000000000..87ebf19e5727
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/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 linespace = require( '@stdlib/array/base/linspace' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var lucasf = require( './../lib' );
+
+var opts = {
+ 'dtype': 'float64'
+};
+var x = linespace( 0, 34, 35, opts );
+
+logEachMap( 'lucasf(%d) = %d', x, lucasf );
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/include.gypi b/lib/node_modules/@stdlib/math/base/special/lucasf/include.gypi
new file mode 100644
index 000000000000..ecfaf82a3279
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/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': [
+ '
+
+/*
+* If C++, prevent name mangling so that the compiler emits a binary file having undecorated names, thus mirroring the behavior of a C compiler.
+*/
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/**
+* Computes the nth Lucas number as a single-precision floating-point number.
+*/
+float stdlib_base_lucasf( const int32_t n );
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif // !STDLIB_MATH_BASE_SPECIAL_LUCASF_H
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/lib/index.js b/lib/node_modules/@stdlib/math/base/special/lucasf/lib/index.js
new file mode 100644
index 000000000000..546f74cfa14c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/lib/index.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';
+
+/**
+* Compute the nth Lucas number as a single-precision floating-point number.
+*
+* @module @stdlib/math/base/special/lucasf
+*
+* @example
+* var lucasf = require( '@stdlib/math/base/special/lucasf' );
+*
+* var y = lucasf( 0 );
+* // returns 2
+*
+* y = lucasf( 1 );
+* // returns 1
+*
+* y = lucasf( 2 );
+* // returns 3
+*
+* y = lucasf( 3 );
+* // returns 4
+*
+* y = lucasf( 4 );
+* // returns 7
+*
+* y = lucasf( 5 );
+* // returns 11
+*
+* y = lucasf( 6 );
+* // returns 18
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/lib/lucas.json b/lib/node_modules/@stdlib/math/base/special/lucasf/lib/lucas.json
new file mode 100644
index 000000000000..f25c2c7c2a23
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/lib/lucas.json
@@ -0,0 +1 @@
+[2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843, 1364, 2207, 3571, 5778, 9349, 15127, 24476, 39603, 64079, 103682, 167761, 271443, 439204, 710647, 1149851, 1860498, 3010349, 4870847, 7881196, 12752043]
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/lib/main.js b/lib/node_modules/@stdlib/math/base/special/lucasf/lib/main.js
new file mode 100644
index 000000000000..eca8b6cd176c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/lib/main.js
@@ -0,0 +1,92 @@
+/**
+* @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 isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var isIntegerf = require( '@stdlib/math/base/assert/is-integerf' );
+var MAX_LUCAS = require( '@stdlib/constants/float32/max-safe-nth-lucas' );
+var LUCAS = require( './lucas.json' );
+
+
+// MAIN //
+
+/**
+* Computes the nth Lucas number as a single-precision floating-point number.
+*
+* @param {NonNegativeInteger} n - the Lucas number to compute
+* @returns {NonNegativeInteger} Lucas number
+*
+* @example
+* var y = lucasf( 0 );
+* // returns 2
+*
+* @example
+* var y = lucasf( 1 );
+* // returns 1
+*
+* @example
+* var y = lucasf( 2 );
+* // returns 3
+*
+* @example
+* var y = lucasf( 3 );
+* // returns 4
+*
+* @example
+* var y = lucasf( 4 );
+* // returns 7
+*
+* @example
+* var y = lucasf( 5 );
+* // returns 11
+*
+* @example
+* var y = lucasf( 6 );
+* // returns 18
+*
+* @example
+* var y = lucasf( NaN );
+* // returns NaN
+*
+* @example
+* var y = lucasf( 3.14 );
+* // returns NaN
+*
+* @example
+* var y = lucasf( -1.0 );
+* // returns NaN
+*/
+function lucasf( n ) {
+ if (
+ isnanf( n ) ||
+ isIntegerf( n ) === false ||
+ n < 0 ||
+ n > MAX_LUCAS
+ ) {
+ return NaN;
+ }
+ return LUCAS[ n ];
+}
+
+
+// EXPORTS //
+
+module.exports = lucasf;
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/lib/native.js b/lib/node_modules/@stdlib/math/base/special/lucasf/lib/native.js
new file mode 100644
index 000000000000..82cedd54bf43
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/lib/native.js
@@ -0,0 +1,74 @@
+/**
+* @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 addon = require( './../src/addon.node' );
+
+
+// MAIN //
+
+/**
+* Computes the nth Lucas number as a single-precision floating-point number.
+*
+* @private
+* @param {NonNegativeInteger} n - the Lucas number to compute
+* @returns {NonNegativeInteger} Lucas number
+*
+* @example
+* var y = lucasf( 0 );
+* // returns 2
+*
+* @example
+* var y = lucasf( 1 );
+* // returns 1
+*
+* @example
+* var y = lucasf( 2 );
+* // returns 3
+*
+* @example
+* var y = lucasf( 3 );
+* // returns 4
+*
+* @example
+* var y = lucasf( 4 );
+* // returns 7
+*
+* @example
+* var y = lucasf( 5 );
+* // returns 11
+*
+* @example
+* var y = lucasf( 6 );
+* // returns 18
+*
+* @example
+* var y = lucasf( -1 );
+* // returns NaN
+*/
+function lucasf( n ) {
+ return addon( n );
+}
+
+
+// EXPORTS //
+
+module.exports = lucasf;
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/manifest.json b/lib/node_modules/@stdlib/math/base/special/lucasf/manifest.json
new file mode 100644
index 000000000000..ce09484e2d1b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/manifest.json
@@ -0,0 +1,72 @@
+{
+ "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/constants/float32/max-safe-nth-lucas"
+ ]
+ },
+ {
+ "task": "benchmark",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/constants/float32/max-safe-nth-lucas"
+ ]
+ },
+ {
+ "task": "examples",
+ "src": [
+ "./src/main.c"
+ ],
+ "include": [
+ "./include"
+ ],
+ "libraries": [],
+ "libpath": [],
+ "dependencies": [
+ "@stdlib/constants/float32/max-safe-nth-lucas"
+ ]
+ }
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/package.json b/lib/node_modules/@stdlib/math/base/special/lucasf/package.json
new file mode 100644
index 000000000000..c0ad2313472d
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/package.json
@@ -0,0 +1,69 @@
+{
+ "name": "@stdlib/math/base/special/lucasf",
+ "version": "0.0.0",
+ "description": "Computes the nth Lucas number as a single-precision floating-point number.",
+ "license": "Apache-2.0",
+ "author": {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ },
+ "contributors": [
+ {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ }
+ ],
+ "main": "./lib",
+ "gypfile": true,
+ "directories": {
+ "benchmark": "./benchmark",
+ "doc": "./docs",
+ "example": "./examples",
+ "include": "./include",
+ "lib": "./lib",
+ "src": "./src",
+ "test": "./test"
+ },
+ "types": "./docs/types",
+ "scripts": {},
+ "homepage": "https://github.com/stdlib-js/stdlib",
+ "repository": {
+ "type": "git",
+ "url": "git://github.com/stdlib-js/stdlib.git"
+ },
+ "bugs": {
+ "url": "https://github.com/stdlib-js/stdlib/issues"
+ },
+ "dependencies": {},
+ "devDependencies": {},
+ "engines": {
+ "node": ">=0.10.0",
+ "npm": ">2.7.0"
+ },
+ "os": [
+ "aix",
+ "darwin",
+ "freebsd",
+ "linux",
+ "macos",
+ "openbsd",
+ "sunos",
+ "win32",
+ "windows"
+ ],
+ "keywords": [
+ "stdlib",
+ "stdmath",
+ "mathematics",
+ "math",
+ "special functions",
+ "special",
+ "function",
+ "fibonacci",
+ "lucasf",
+ "fib",
+ "number",
+ "integer",
+ "sequences"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/src/Makefile b/lib/node_modules/@stdlib/math/base/special/lucasf/src/Makefile
new file mode 100644
index 000000000000..7733b6180cb4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/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/lucasf/src/addon.c b/lib/node_modules/@stdlib/math/base/special/lucasf/src/addon.c
new file mode 100644
index 000000000000..8620f7d2dfc7
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/src/addon.c
@@ -0,0 +1,23 @@
+/**
+* @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/lucasf.h"
+#include "stdlib/math/base/napi/unary.h"
+
+// cppcheck-suppress shadowFunction
+STDLIB_MATH_BASE_NAPI_MODULE_I_F( stdlib_base_lucasf )
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/src/main.c b/lib/node_modules/@stdlib/math/base/special/lucasf/src/main.c
new file mode 100644
index 000000000000..22788e26f3ae
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/src/main.c
@@ -0,0 +1,79 @@
+/**
+* @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/lucasf.h"
+#include "stdlib/constants/float32/max_safe_nth_lucas.h"
+
+static const int32_t lucas_value[ 35 ] = {
+ 2,
+ 1,
+ 3,
+ 4,
+ 7,
+ 11,
+ 18,
+ 29,
+ 47,
+ 76,
+ 123,
+ 199,
+ 322,
+ 521,
+ 843,
+ 1364,
+ 2207,
+ 3571,
+ 5778,
+ 9349,
+ 15127,
+ 24476,
+ 39603,
+ 64079,
+ 103682,
+ 167761,
+ 271443,
+ 439204,
+ 710647,
+ 1149851,
+ 1860498,
+ 3010349,
+ 4870847,
+ 7881196,
+ 12752043
+};
+
+/**
+* Computes the nth Lucas number.
+*
+* @param n input value
+* @return output value
+*
+* @example
+* float out = stdlib_base_lucasf( 1 );
+* // returns 1.0f
+*
+* @example
+* float out = stdlib_base_lucasf( -1 );
+* // returns NaN
+*/
+float stdlib_base_lucasf( const int32_t n ) {
+ if ( n < 0 || n > STDLIB_CONSTANT_FLOAT32_MAX_SAFE_NTH_LUCAS ) {
+ return 0.0f / 0.0f; // NaN
+ }
+ return lucas_value[ n ];
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/test/test.js b/lib/node_modules/@stdlib/math/base/special/lucasf/test/test.js
new file mode 100644
index 000000000000..d15f71f01718
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/test/test.js
@@ -0,0 +1,92 @@
+/**
+* @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 tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var PINF = require( '@stdlib/constants/float32/pinf' );
+var lucasf = require( './../lib' );
+
+
+// FIXTURES //
+
+// For reference values, see https://oeis.org/A000032:
+var LUCAS = require( './../lib/lucas.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof lucasf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'if provided a negative number, the function returns `NaN`', function test( t ) {
+ var v;
+ var i;
+
+ t.strictEqual( isnanf( lucasf( -3.14 ) ), true, 'returns expected value' );
+
+ for ( i = -1; i > -100; i-- ) {
+ v = lucasf( i );
+ t.strictEqual( isnanf( v ), true, 'returns expected value when provided ' + i );
+ }
+ t.end();
+});
+
+tape( 'if provided positive infinity, the function returns `NaN`', function test( t ) {
+ var v = lucasf( PINF );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'if provided `NaN`, the function returns `NaN`', function test( t ) {
+ var v = lucasf( NaN );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'if provided a non-integer, the function returns `NaN`', function test( t ) {
+ var v = lucasf( 3.14 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns the nth Lucas number', function test( t ) {
+ var v;
+ var i;
+ for ( i = 0; i < 35; i++ ) {
+ v = lucasf( i );
+ t.strictEqual( v, LUCAS[ i ], 'returns the '+i+'th Lucas number' );
+ }
+ t.end();
+});
+
+tape( 'if provided nonnegative integers greater than `34`, the function returns `NaN`', function test( t ) {
+ var i;
+ var v;
+ for ( i = 35; i < 500; i++ ) {
+ v = lucasf( i );
+ t.strictEqual( isnanf( v ), true, 'returns expected value when provided ' + i );
+ }
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/lucasf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/lucasf/test/test.native.js
new file mode 100644
index 000000000000..86f3d5b73c18
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/lucasf/test/test.native.js
@@ -0,0 +1,79 @@
+/**
+* @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 tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+
+// FIXTURES //
+
+var LUCAS = require( './../lib/lucas.json' );
+
+
+// VARIABLES //
+
+var lucasf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( lucasf instanceof Error )
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof lucasf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'if provided a negative number, the function returns `NaN`', opts, function test( t ) {
+ var v;
+ var i;
+
+ for ( i = -1; i > -100; i-- ) {
+ v = lucasf( i );
+ t.strictEqual( isnanf( v ), true, 'returns expected value when provided ' + i );
+ }
+ t.end();
+});
+
+tape( 'the function returns the nth Lucas number', opts, function test( t ) {
+ var v;
+ var i;
+ for ( i = 0; i < 35; i++ ) {
+ v = lucasf( i );
+ t.strictEqual( v, LUCAS[ i ], 'returns the '+i+'th Lucas number' );
+ }
+ t.end();
+});
+
+tape( 'if provided nonnegative integers less than `34`, the function returns `NaN`', opts, function test( t ) {
+ var i;
+ var v;
+ for ( i = 35; i < 500; i++ ) {
+ v = lucasf( i );
+ t.strictEqual( isnanf( v ), true, 'returns expected value when provided ' + i );
+ }
+ t.end();
+});