213 lines
4.0 KiB
Markdown
213 lines
4.0 KiB
Markdown
|
<!--
|
||
|
|
||
|
@license Apache-2.0
|
||
|
|
||
|
Copyright (c) 2018 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.
|
||
|
|
||
|
-->
|
||
|
|
||
|
# Signum
|
||
|
|
||
|
> [Signum][signum] function.
|
||
|
|
||
|
<section class="intro">
|
||
|
|
||
|
The [signum][signum] function is defined as
|
||
|
|
||
|
<!-- <equation class="equation" label="eq:signum_function" align="center" raw="\operatorname{sign}(x) := \begin{cases} -1 & \textrm{if}\ x < 0 \\ 0 & \textrm{if}\ x = 0 \\ 1 & \textrm{if}\ x > 0 \end{cases}" alt="Signum function"> -->
|
||
|
|
||
|
<div class="equation" align="center" data-raw-text="\operatorname{sign}(x) := \begin{cases} -1 & \textrm{if}\ x < 0 \\ 0 & \textrm{if}\ x = 0 \\ 1 & \textrm{if}\ x > 0 \end{cases}" data-equation="eq:signum_function">
|
||
|
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@bb29798906e119fcb2af99e94b60407a270c9b32/lib/node_modules/@stdlib/math/base/special/signum/docs/img/equation_signum_function.svg" alt="Signum function">
|
||
|
<br>
|
||
|
</div>
|
||
|
|
||
|
<!-- </equation> -->
|
||
|
|
||
|
for any real number `x`.
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.intro -->
|
||
|
|
||
|
<section class="usage">
|
||
|
|
||
|
## Usage
|
||
|
|
||
|
```javascript
|
||
|
var signum = require( '@stdlib/math/base/special/signum' );
|
||
|
```
|
||
|
|
||
|
#### signum( x )
|
||
|
|
||
|
Evaluates the [signum][signum] function for a double-precision floating-point number.
|
||
|
|
||
|
```javascript
|
||
|
var sign = signum( -5.0 );
|
||
|
// returns -1
|
||
|
|
||
|
sign = signum( 5.0 );
|
||
|
// returns 1
|
||
|
|
||
|
sign = signum( -0.0 );
|
||
|
// returns -0
|
||
|
|
||
|
sign = signum( 0.0 );
|
||
|
// returns 0
|
||
|
|
||
|
sign = signum( NaN );
|
||
|
// returns NaN
|
||
|
```
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.usage -->
|
||
|
|
||
|
<section class="notes">
|
||
|
|
||
|
## Notes
|
||
|
|
||
|
Table of results:
|
||
|
|
||
|
| Value | Sign |
|
||
|
| ------- | ----- |
|
||
|
| `x > 0` | `+1` |
|
||
|
| `x < 0` | `-1` |
|
||
|
| `0` | `0` |
|
||
|
| `-0` | `-0` |
|
||
|
| `NaN` | `NaN` |
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.notes -->
|
||
|
|
||
|
<section class="examples">
|
||
|
|
||
|
## Examples
|
||
|
|
||
|
<!-- eslint no-undef: "error" -->
|
||
|
|
||
|
```javascript
|
||
|
var randu = require( '@stdlib/random/base/randu' );
|
||
|
var round = require( '@stdlib/math/base/special/round' );
|
||
|
var signum = require( '@stdlib/math/base/special/signum' );
|
||
|
|
||
|
var sign;
|
||
|
var x;
|
||
|
var i;
|
||
|
|
||
|
for ( i = 0; i < 100; i++ ) {
|
||
|
x = round( randu()*100.0 ) - 50.0;
|
||
|
sign = signum( x );
|
||
|
console.log( 'signum(%d) = %d', x, sign );
|
||
|
}
|
||
|
```
|
||
|
|
||
|
</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/signum.h"
|
||
|
```
|
||
|
|
||
|
#### stdlib_base_signum( x )
|
||
|
|
||
|
Evaluates the [signum][signum] function for a double-precision floating-point number.
|
||
|
|
||
|
```c
|
||
|
double y = stdlib_base_signum( -9.0 );
|
||
|
// returns -1.0
|
||
|
```
|
||
|
|
||
|
The function accepts the following arguments:
|
||
|
|
||
|
- **x**: `[in] double` input value.
|
||
|
|
||
|
```c
|
||
|
double stdlib_base_signum( const double x );
|
||
|
```
|
||
|
|
||
|
</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/signum.h"
|
||
|
#include <stdio.h>
|
||
|
|
||
|
int main() {
|
||
|
double x[] = { 3.14, -3.14, 0.0, 0.0/0.0 };
|
||
|
|
||
|
double y;
|
||
|
int i;
|
||
|
for ( i = 0; i < 4; i++ ) {
|
||
|
y = stdlib_base_signum( x[ i ] );
|
||
|
printf( "signum(%lf) = %lf\n", x[ i ], y );
|
||
|
}
|
||
|
}
|
||
|
```
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.examples -->
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.c -->
|
||
|
|
||
|
<section class="links">
|
||
|
|
||
|
[signum]: http://en.wikipedia.org/wiki/Sign_function
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.links -->
|