time-to-botec/js/node_modules/@stdlib/math/base/special/kronecker-deltaf/README.md

190 lines
3.9 KiB
Markdown
Raw Normal View History

<!--
@license Apache-2.0
Copyright (c) 2020 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.
-->
# Kronecker Delta
> Evaluate the [Kronecker delta][kronecker-delta] (single-precision).
<section class="intro">
The [Kronecker delta][kronecker-delta] is defined as
<!-- <equation class="equation" label="eq:kronecker_delta" align="center" raw="\delta_{ij} = \begin{cases} 1 & \textrm{if}\ i = j \\ 0 & \textrm{if}\ i \neq j\end{cases}" alt="Kronecker delta."> -->
<div class="equation" align="center" data-raw-text="\delta_{ij} = \begin{cases} 1 &amp; \textrm{if}\ i = j \\ 0 &amp; \textrm{if}\ i \neq j\end{cases}" data-equation="eq:kronecker_delta">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@b245da8d5397f5cf6a71ec8a0147cf47d876eeb7/lib/node_modules/@stdlib/math/base/special/kronecker-deltaf/docs/img/equation_kronecker_delta.svg" alt="Kronecker delta.">
<br>
</div>
<!-- </equation> -->
</section>
<!-- /.intro -->
<section class="usage">
## Usage
```javascript
var kroneckerDeltaf = require( '@stdlib/math/base/special/kronecker-deltaf' );
```
#### kroneckerDeltaf( i, j )
Evaluates the [Kronecker delta][kronecker-delta] (single-precision).
```javascript
var v = kroneckerDeltaf( 3.14, 3.14 );
// returns 1.0
v = kroneckerDeltaf( 3.14, 0.0 );
// returns 0.0
v = kroneckerDeltaf( NaN, 3.14 );
// returns NaN
v = kroneckerDeltaf( 3.14, NaN );
// returns NaN
v = kroneckerDeltaf( NaN, NaN );
// returns NaN
```
</section>
<!-- /.usage -->
<section class="examples">
## Examples
<!-- eslint no-undef: "error" -->
```javascript
var linspace = require( '@stdlib/array/linspace' );
var kroneckerDeltaf = require( '@stdlib/math/base/special/kronecker-deltaf' );
var x = linspace( -1.0, 1.0, 101 );
var i;
for ( i = 0; i < x.length; i++ ) {
console.log( 'kronecker(%d,%d) = %d', x[ i ], 0.0, kroneckerDeltaf( x[ i ], 0.0 ) );
}
```
</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/kronecker_deltaf.h
```
#### stdlib_base_kronecker_deltaf( i, j )
Evaluates the Kronecker delta (single-precision).
```c
float v = stdlib_base_kronecker_deltaf( 3.0f, 3.0f );
// returns 1.0f
```
The function accepts the following arguments:
- **i**: `[in] float` input value.
- **j**: `[in] float` input value.
```c
float stdlib_base_kronecker_delta( const float i, const float j );
```
</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/kronecker_deltaf.h"
#include <stdio.h>
int main() {
float x[] = { 3.0f, 4.0f, 5.0f, 5.0f };
float y;
int i;
for ( i = 0; i < 4; i += 2 ) {
y = stdlib_base_kronecker_deltaf( x[ i ], x[ i+1 ] );
printf( "kronecker_delta(%f, %f) = %f\n", x[ i ], x[ i+1 ], y );
}
}
```
</section>
<!-- /.examples -->
</section>
<!-- /.c -->
<section class="links">
[kronecker-delta]: https://en.wikipedia.org/wiki/Kronecker_delta
</section>
<!-- /.links -->