time-to-botec/js/node_modules/@stdlib/blas/base/cswap/README.md

285 lines
6.9 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.
-->
# cswap
> Interchange two complex single-precision floating-point vectors.
<section class="usage">
## Usage
```javascript
var cswap = require( '@stdlib/blas/base/cswap' );
```
#### cswap( N, x, strideX, y, strideY )
Interchanges two complex single-precision floating-point vectors.
```javascript
var Complex64Array = require( '@stdlib/array/complex64' );
var real = require( '@stdlib/complex/real' );
var imag = require( '@stdlib/complex/imag' );
var x = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
var y = new Complex64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
cswap( x.length, x, 1, y, 1 );
var z = y.get( 0 );
// returns <Complex64>
var re = real( z );
// returns 1.0
var im = imag( z );
// returns 2.0
z = x.get( 0 );
// returns <Complex64>
re = real( z );
// returns 0.0
im = imag( z );
// returns 0.0
```
The function has the following parameters:
- **N**: number of values to swap.
- **x**: input [`Complex64Array`][@stdlib/array/complex64].
- **strideX**: index increment for `x`.
- **y**: destination [`Complex64Array`][@stdlib/array/complex64].
- **strideY**: index increment for `y`.
The `N` and `stride` parameters determine how values from `x` are interchanged with values from `y`. For example, to interchange in reverse order every other value in `x` into the first `N` elements of `y`,
```javascript
var Complex64Array = require( '@stdlib/array/complex64' );
var floor = require( '@stdlib/math/base/special/floor' );
var real = require( '@stdlib/complex/real' );
var imag = require( '@stdlib/complex/imag' );
var x = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] );
var y = new Complex64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
var N = floor( x.length / 2 );
cswap( N, x, -2, y, 1 );
var z = y.get( 0 );
// returns <Complex64>
var re = real( z );
// returns 5.0
var im = imag( z );
// returns 6.0
z = x.get( 0 );
// returns <Complex64>
re = real( z );
// returns 0.0
im = imag( z );
// returns 0.0
```
Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.
<!-- eslint-disable stdlib/capitalized-comments -->
```javascript
var Complex64Array = require( '@stdlib/array/complex64' );
var floor = require( '@stdlib/math/base/special/floor' );
var real = require( '@stdlib/complex/real' );
var imag = require( '@stdlib/complex/imag' );
// Initial arrays...
var x0 = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] );
var y0 = new Complex64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
// Create offset views...
var x1 = new Complex64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
var y1 = new Complex64Array( y0.buffer, y0.BYTES_PER_ELEMENT*2 ); // start at 3rd element
var N = floor( x0.length / 2 );
// Interchange in reverse order every other value from `x1` into `y1`...
cswap( N, x1, -2, y1, 1 );
var z = y0.get( 2 );
// returns <Complex64>
var re = real( z );
// returns 7.0
var im = imag( z );
// returns 8.0
z = x0.get( 1 );
// returns <Complex64>
re = real( z );
// returns 0.0
im = imag( z );
// returns 0.0
```
#### cswap.ndarray( N, x, strideX, offsetX, y, strideY, offsetY )
Interchanges two complex single-precision floating-point vectors using alternative indexing semantics.
```javascript
var Complex64Array = require( '@stdlib/array/complex64' );
var real = require( '@stdlib/complex/real' );
var imag = require( '@stdlib/complex/imag' );
var x = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
var y = new Complex64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
cswap.ndarray( x.length, x, 1, 0, y, 1, 0 );
var z = y.get( 0 );
// returns <Complex64>
var re = real( z );
// returns 1.0
var im = imag( z );
// returns 2.0
z = x.get( 0 );
// returns <Complex64>
re = real( z );
// returns 0.0
im = imag( z );
// returns 0.0
```
The function has the following additional parameters:
- **offsetX**: starting index for `x`.
- **offsetY**: starting index for `y`.
While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying `buffer`, the `offsetX` and `offsetY` parameters support indexing semantics based on starting indices. For example, to interchange every other value in `x` starting from the second value into the last `N` elements in `y` where `x[i] = y[n]`, `x[i+2] = y[n-1]`,...,
```javascript
var Complex64Array = require( '@stdlib/array/complex64' );
var floor = require( '@stdlib/math/base/special/floor' );
var real = require( '@stdlib/complex/real' );
var imag = require( '@stdlib/complex/imag' );
var x = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] );
var y = new Complex64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );
var N = floor( x.length / 2 );
cswap.ndarray( N, x, 2, 1, y, -1, y.length-1 );
var z = y.get( y.length-1 );
// returns <Complex64>
var re = real( z );
// returns 3.0
var im = imag( z );
// returns 4.0
z = x.get( x.length-1 );
// returns <Complex64>
re = real( z );
// returns 0.0
im = imag( z );
// returns 0.0
```
</section>
<!-- /.usage -->
<section class="notes">
## Notes
- If `N <= 0`, both functions leave `x` and `y` unchanged.
- `cswap()` corresponds to the [BLAS][blas] level 1 function [`cswap`][cswap].
</section>
<!-- /.notes -->
<section class="examples">
## Examples
<!-- eslint no-undef: "error" -->
```javascript
var discreteUniform = require( '@stdlib/random/base/discrete-uniform' );
var Complex64Array = require( '@stdlib/array/complex64' );
var cswap = require( '@stdlib/blas/base/cswap' );
var re = discreteUniform.factory( 0, 10 );
var im = discreteUniform.factory( -5, 5 );
var x = new Complex64Array( 10 );
var y = new Complex64Array( 10 );
var i;
for ( i = 0; i < x.length; i++ ) {
x.set( [ re(), im() ], i );
y.set( [ re(), im() ], i );
}
console.log( x.get( 0 ).toString() );
console.log( y.get( 0 ).toString() );
// Swap elements in `x` and `y` starting from the end of `y`:
cswap( x.length, x, 1, y, -1 );
console.log( x.get( x.length-1 ).toString() );
console.log( y.get( y.length-1 ).toString() );
```
</section>
<!-- /.examples -->
<section class="links">
[blas]: http://www.netlib.org/blas
[cswap]: http://www.netlib.org/lapack/explore-html/da/df6/group__complex__blas__level1.html
[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
[@stdlib/array/complex64]: https://www.npmjs.com/package/@stdlib/array-complex64
</section>
<!-- /.links -->