feat: add math/base/special/fibonaccif

lib/node_modules/@stdlib/math/base/special/fibonaccif/README.md

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+<!--
+
+@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.
+
+-->
+
+# Fibonaccif
+
+> Compute the nth [Fibonacci number][fibonacci-number] as a [single-precision floating-point number][ieee754].
+
+<section class="intro">
+
+The [Fibonacci numbers][fibonacci-number] are the integer sequence
+
+<!-- <equation class="equation" label="eq:fibonacci_sequence" align="center" raw="0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, \ldots" alt="Fibonacci sequence"> -->
+
+```math
+0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, \ldots
+```
+
+<!-- <div class="equation" align="center" data-raw-text="0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, \ldots" data-equation="eq:fibonacci_sequence">
+    <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@bb29798906e119fcb2af99e94b60407a270c9b32/lib/node_modules/@stdlib/math/base/special/fibonaccif/docs/img/equation_fibonacci_sequence.svg" alt="Fibonacci sequence">
+    <br>
+</div> -->
+
+<!-- </equation> -->
+
+The sequence is defined by the recurrence relation
+
+<!-- <equation class="equation" label="eq:fibonacci_recurrence_relation" align="center" raw="F_n = F_{n-1} + F_{n-2}" alt="Fibonacci sequence recurrence relation"> -->
+
+```math
+F_n = F_{n-1} + F_{n-2}
+```
+
+<!-- <div class="equation" align="center" data-raw-text="F_n = F_{n-1} + F_{n-2}" data-equation="eq:fibonacci_recurrence_relation">
+    <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@bb29798906e119fcb2af99e94b60407a270c9b32/lib/node_modules/@stdlib/math/base/special/fibonaccif/docs/img/equation_fibonacci_recurrence_relation.svg" alt="Fibonacci sequence recurrence relation">
+    <br>
+</div> -->
+
+<!-- </equation> -->
+
+with seed values `F_0 = 0` and `F_1 = 1`.
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var fibonaccif = require( '@stdlib/math/base/special/fibonaccif' );
+```
+
+#### fibonaccif( n )
+
+Computes the nth [Fibonacci number][fibonacci-number] as a [single-precision floating-point number][ieee754].
+
+```javascript
+var v = fibonaccif( 0 );
+// returns 0
+
+v = fibonaccif( 1 );
+// returns 1
+
+v = fibonaccif( 2 );
+// returns 1
+
+v = fibonaccif( 3 );
+// returns 2
+
+v = fibonaccif( 36 );
+// returns 14930352
+```
+
+If `n > 36`, the function returns `NaN`, as larger [Fibonacci numbers][fibonacci-number] cannot be safely represented in [single-precision floating-point format][ieee754].
+
+```javascript
+var v = fibonaccif( 37 );
+// returns NaN
+```
+
+If not provided a nonnegative integer value, the function returns `NaN`.
+
+```javascript
+var v = fibonaccif( 3.14 );
+// returns NaN
+
+v = fibonaccif( -1 );
+// returns NaN
+```
+
+If provided `NaN`, the function returns `NaN`.
+
+```javascript
+var v = fibonaccif( NaN );
+// returns NaN
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var fibonaccif = require( '@stdlib/math/base/special/fibonaccif' );
+
+var v;
+var i;
+
+for ( i = 0; i < 37; i++ ) {
+    v = fibonaccif( i );
+    console.log( v );
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- C interface documentation. -->
+
+* * *
+
+<section class="c">
+
+## C APIs
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- C usage documentation. -->
+
+<section class="usage">
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/fibonaccif.h"
+```
+
+#### stdlib_base_fibonaccif( n )
+
+Computes the nth [Fibonacci number][fibonacci-number] as a [single-precision floating-point number][ieee754].
+
+```c
+float out = stdlib_base_fibonaccif( 0 );
+// returns 0
+
+out = stdlib_base_fibonaccif( 1 );
+// returns 1
+```
+
+The function accepts the following arguments:
+
+-   **n**: `[in] int32_t` input value.
+
+```c
+float stdlib_base_fibonaccif( const int32_t n );
+```
+
+</section>
+
+<!-- /.usage -->
+
+<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+</section>
+
+<!-- /.notes -->
+
+<!-- C API usage examples. -->
+
+<section class="examples">
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/fibonaccif.h"
+#include <stdio.h>
+#include <stdint.h>
+
+int main( void ) {
+    int32_t i;
+    float v;
+
+    for ( i = 0; i < 37; i++ ) {
+        v = stdlib_base_fibonaccif( i );
+        printf( "fibonaccif(%d) = %f\n", i, v );
+    }
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+</section>
+
+<!-- /.c -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+[fibonacci-number]: https://en.wikipedia.org/wiki/Fibonacci_number
+
+[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985
+
+<!-- <related-links> -->
+
+<!-- </related-links> -->
+
+</section>
+
+<!-- /.links -->