119 lines
2.3 KiB
Markdown
119 lines
2.3 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.
|
||
|
|
||
|
-->
|
||
|
|
||
|
# rempio2
|
||
|
|
||
|
> Compute `x - nπ/2 = r`.
|
||
|
|
||
|
<section class="usage">
|
||
|
|
||
|
## Usage
|
||
|
|
||
|
```javascript
|
||
|
var rempio2 = require( '@stdlib/math/base/special/rempio2' );
|
||
|
```
|
||
|
|
||
|
#### rempio2( x, y )
|
||
|
|
||
|
Computes `x - nπ/2 = r`. The function returns `n` and stores the remainder `r` as two numbers in `y`, such that `y[0]+y[1] = r`.
|
||
|
|
||
|
```javascript
|
||
|
var y = [ 0.0, 0.0 ];
|
||
|
var n = rempio2( 128.0, y );
|
||
|
// returns 81
|
||
|
|
||
|
var y1 = y[ 0 ];
|
||
|
// returns ~0.765
|
||
|
|
||
|
var y2 = y[ 1 ];
|
||
|
// returns ~3.618e-17
|
||
|
```
|
||
|
|
||
|
When `x` is `NaN` or infinite, the function returns zero and sets the elements of `y` to `NaN`.
|
||
|
|
||
|
```javascript
|
||
|
var y = [ 0.0, 0.0 ];
|
||
|
var n = rempio2( NaN, y );
|
||
|
// returns 0
|
||
|
|
||
|
var y1 = y[ 0 ];
|
||
|
// returns NaN
|
||
|
|
||
|
var y2 = y[ 1 ];
|
||
|
// returns NaN
|
||
|
|
||
|
y = [ 0.0, 0.0 ];
|
||
|
n = rempio2( Infinity, y );
|
||
|
// returns 0
|
||
|
|
||
|
y1 = y[ 0 ];
|
||
|
// returns NaN
|
||
|
|
||
|
y2 = y[ 1 ];
|
||
|
// returns NaN
|
||
|
```
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.usage -->
|
||
|
|
||
|
<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
|
||
|
|
||
|
<section class="notes">
|
||
|
|
||
|
## Notes
|
||
|
|
||
|
- For input values larger than `2^20*π/2` in magnitude, the function **only** returns the last three binary digits of `n` and not the full result.
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.notes -->
|
||
|
|
||
|
<section class="examples">
|
||
|
|
||
|
## Examples
|
||
|
|
||
|
<!-- eslint no-undef: "error" -->
|
||
|
|
||
|
```javascript
|
||
|
var linspace = require( '@stdlib/array/linspace' );
|
||
|
var rempio2 = require( '@stdlib/math/base/special/rempio2' );
|
||
|
|
||
|
var x = linspace( 0.0, 100.0, 100 );
|
||
|
var y = [ 0.0, 0.0 ];
|
||
|
var n;
|
||
|
var i;
|
||
|
|
||
|
for ( i = 0; i < x.length; i++ ) {
|
||
|
n = rempio2( x[ i ], y );
|
||
|
console.log( '%d - %dπ/2 = %d + %d', x[ i ], n, y[ 0 ], y[ 1 ] );
|
||
|
}
|
||
|
```
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.examples -->
|
||
|
|
||
|
<section class="links">
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.links -->
|