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feat: add math/base/special/kernel-log1p
PR-URL: #2144 Reviewed-by: Athan Reines <[email protected]> Co-authored-by: Athan Reines <[email protected]> Signed-off-by: Athan Reines <[email protected]>
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‎lib/node_modules/@stdlib/math/base/special/kernel-log1p/LICENSE

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‎lib/node_modules/@stdlib/math/base/special/kernel-log1p/README.md

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<!--
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@license Apache-2.0
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Copyright (c) 2024 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# kernelLog1p
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> Compute `log(1+f) - f` for `1+f` in `~[sqrt(2)/2, sqrt(2)]`.
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<section class="usage">
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## Usage
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```javascript
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var kernelLog1p = require( '@stdlib/math/base/special/kernel-log1p' );
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```
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#### kernelLog1p( f )
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Computes `log(1+f) - f` for `1+f` in `~[sqrt(2)/2, sqrt(2)]`.
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```javascript
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var v = kernelLog1p( 1.0 );
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// returns ~0.1931
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v = kernelLog1p( 1.4142135623730951 );
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// returns ~0.4672
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v = kernelLog1p( NaN );
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// returns NaN
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```
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</section>
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<!-- /.usage -->
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<section class="notes">
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## Notes
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- This function is a helper function for computing logarithms in base `e`. Argument reduction and adding the final term of the polynomial must be done by the caller for increased accuracy when different bases are used. For reference, see [`@stdlib/math/base/special/log2`][@stdlib/math/base/special/log2] and [`@stdlib/math/base/special/log10`][@stdlib/math/base/special/log10].
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</section>
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<!-- /.notes -->
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<section class="examples">
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## Examples
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<!-- eslint no-undef: "error" -->
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```javascript
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var linspace = require( '@stdlib/array/base/linspace' );
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var sqrt = require( '@stdlib/math/base/special/sqrt' );
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var kernelLog1p = require( '@stdlib/math/base/special/kernel-log1p' );
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var x = linspace( sqrt( 2.0 ) / 2.0, sqrt( 2.0 ), 100 );
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var i;
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for ( i = 0; i < x.length; i++ ) {
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console.log( 'kernelLog1p(%d) = %d', x[ i ], kernelLog1p( x[ i ] ) );
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}
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```
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</section>
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<!-- /.examples -->
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<!-- C interface documentation. -->
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* * *
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<section class="c">
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## C APIs
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<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
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<section class="intro">
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</section>
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<!-- /.intro -->
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<!-- C usage documentation. -->
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<section class="usage">
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### Usage
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```c
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#include "stdlib/math/base/special/kernel_log1p.h"
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```
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#### stdlib_base_kernel_log1p( f )
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Computes `log(1+f) - f` for `1+f` in `~[sqrt(2)/2, sqrt(2)]`.
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```c
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double out = stdlib_base_kernel_log1p( 1.0 );
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// returns ~0.1931
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out = stdlib_base_kernel_log1p( 1.4142135623730951 );
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// returns ~0.4672
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```
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The function accepts the following arguments:
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- **f**: `[in] double` input value.
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```c
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double stdlib_base_kernel_log1p( const double f );
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```
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</section>
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<!-- /.usage -->
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<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="notes">
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</section>
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<!-- /.notes -->
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<!-- C API usage examples. -->
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<section class="examples">
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### Examples
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```c
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#include "stdlib/math/base/special/kernel_log1p.h"
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#include <stdio.h>
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int main( void ) {
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const double x[] = { 0.7071, 0.7856, 0.8642, 0.9428, 1.0213, 1.0999, 1.1785, 1.2570, 1.3356, 1.4142 };
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double out;
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int i;
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for ( i = 0; i < 10; i++ ) {
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out = stdlib_base_kernel_log1p( x[ i ] );
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printf ( "x[ i ]: %lf, out: %lf\n", x[ i ], out );
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}
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}
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```
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</section>
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<!-- /.examples -->
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</section>
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<!-- /.c -->
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<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
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<section class="related">
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</section>
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<!-- /.related -->
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<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="links">
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[@stdlib/math/base/special/log2]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/log2
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[@stdlib/math/base/special/log10]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/log10
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<!-- <related-links> -->
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<!-- </related-links> -->
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</section>
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<!-- /.links -->

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