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23 changes: 23 additions & 0 deletions CHANGELOG.md
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<!-- /.package -->

<section class="package" id="blas-base-drotm-unreleased">

#### [@stdlib/blas/base/drotm](https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/blas/base/drotm)

<details>

<section class="features">

##### Features

- [`51608dc`](https://github.com/stdlib-js/stdlib/commit/51608dce38bc73594242644c3b732c37ed3dfbe8) - add `blas/base/drotm` [(#2266)](https://github.com/stdlib-js/stdlib/pull/2266)

</section>

<!-- /.features -->

</details>

</section>

<!-- /.package -->

<section class="package" id="blas-base-dscal-unreleased">

#### [@stdlib/blas/base/dscal](https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/blas/base/dscal)
Expand Down Expand Up @@ -2067,6 +2089,7 @@ A total of 35 people contributed to this release. Thank you to the following con

<details>

- [`51608dc`](https://github.com/stdlib-js/stdlib/commit/51608dce38bc73594242644c3b732c37ed3dfbe8) - **feat:** add `blas/base/drotm` [(#2266)](https://github.com/stdlib-js/stdlib/pull/2266) _(by Aman Bhansali, Athan Reines)_
- [`9de1979`](https://github.com/stdlib-js/stdlib/commit/9de1979e01566cdb52a8d7667fedd7418871e130) - **docs:** fix descriptions _(by Athan Reines)_
- [`15ea69b`](https://github.com/stdlib-js/stdlib/commit/15ea69be968a9dbc98310ad06a79f53759841ffc) - **fix:** update C examples and description for `blas/base/srotm` [(#2448)](https://github.com/stdlib-js/stdlib/pull/2448) _(by Aman Bhansali)_
- [`1c95092`](https://github.com/stdlib-js/stdlib/commit/1c950922dbe073c352ceec63a25b3d6972f9d668) - **fix:** perform float32 emulation in `blas/base/srotm` [(#2445)](https://github.com/stdlib-js/stdlib/pull/2445) _(by Aman Bhansali)_
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<!--
@license Apache-2.0
Copyright (c) 2024 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
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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.
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-->

# drotm

> Apply a modified Givens plane rotation.
<section class="usage">

## Usage

```javascript
var drotm = require( '@stdlib/blas/base/drotm' );
```

#### drotm( N, x, strideX, y, strideY, param )

Applies a modified Givens plane rotation.

```javascript
var Float64Array = require( '@stdlib/array/float64' );

var x = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0 ] );
var y = new Float64Array( [ 6.0, 7.0, 8.0, 9.0, 10.0 ] );
var param = new Float64Array( [ 0.0, 0.0, 2.0, -3.0, 0.0 ] );

drotm( 2, x, 2, y, 1, param );
// x => <Float64Array>[ ~-17.0, 2.0, ~-18.0, 4.0, 5.0 ]
// y => <Float64Array>[ ~8.0, ~13.0, 8.0, 9.0, 10.0 ]
```

The function has the following parameters:

- **N**: number of indexed elements.
- **x**: first input [`Float64Array`][mdn-float64array].
- **strideX**: index increment for `x`.
- **y**: second input [`Float64Array`][mdn-float64array].
- **strideY**: index increment for `y`.
- **param**: parameters for the modified Givens transformation

The `N` and stride parameters determine how values in the strided arrays are accessed at runtime. For example, to apply a modified Givens plane rotation to every other element,

```javascript
var Float64Array = require( '@stdlib/array/float64' );

var x = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
var y = new Float64Array( [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );
var param = new Float64Array( [ 0.0, 0.0, 2.0, -3.0, 0.0 ] );

drotm( 3, x, 2, y, 2, param );
// x => <Float64Array>[ ~-20.0, 2.0, ~-24.0, 4.0, ~-28.0, 6.0 ]
// y => <Float64Array>[ ~9.0, 8.0, ~15.0, 10.0, ~21.0, 12.0 ]
```

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 Float64Array = require( '@stdlib/array/float64' );

// Initial arrays...
var x0 = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0 ] );
var y0 = new Float64Array( [ 6.0, 7.0, 8.0, 9.0, 10.0 ] );
var param = new Float64Array( [ 1.0, 0.0, 2.0, 3.0, 0.0 ] );

// Create offset views...
var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
var y1 = new Float64Array( y0.buffer, y0.BYTES_PER_ELEMENT*3 ); // start at 4th element

drotm( 2, x1, 1, y1, 1, param );
// x0 => <Float64Array>[ 1.0, ~9.0, ~10.0, 4.0, 5.0 ]
// y0 => <Float64Array>[ 6.0, 7.0, 8.0, ~-2.0, ~-3.0 ]
```

#### drotm.ndarray( N, x, strideX, offsetX, y, strideY, offsetY, param )

Applies a modified Givens plane rotation using alternative indexing semantics.

```javascript
var Float64Array = require( '@stdlib/array/float64' );

var x = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0 ] );
var y = new Float64Array( [ 6.0, 7.0, 8.0, 9.0, 10.0 ] );
var param = new Float64Array( [ 0.0, 0.0, 2.0, -3.0, 0.0 ] );

drotm.ndarray( 2, x, 1, 0, y, 2, 1, param );
// x => <Float64Array>[ ~-20.0, ~-25.0, 3.0, 4.0, 5.0 ]
// y => <Float64Array>[ 6.0, ~9.0, 8.0, ~13.0, 10.0 ]
```

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 offset parameters support indexing semantics based on starting indices. For example, to apply a modified Givens plane rotation to every other element starting from the second element,

```javascript
var Float64Array = require( '@stdlib/array/float64' );

var x = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
var y = new Float64Array( [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );
var param = new Float64Array( [ 0.0, 0.0, 2.0, -3.0, 0.0 ] );

drotm.ndarray( 3, x, 2, 1, y, 2, 1, param );
// x => <Float64Array>[ 1.0, ~-22.0, 3.0, ~-26.0, 5.0, ~-30.0 ]
// y => <Float64Array>[ 7.0, ~12.0, 9.0, ~18.0, 11.0, ~24.0 ]
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

- If `N <= 0`, both functions leave `x` and `y` unchanged.
- `drotm()` corresponds to the [BLAS][blas] level 1 function [`drotm`][drotm].

</section>

<!-- /.notes -->

<section class="examples">

## Examples

<!-- eslint no-undef: "error" -->

```javascript
var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
var drotm = require( '@stdlib/blas/base/drotm' );

var opts = {
'dtype': 'float64'
};
var x = discreteUniform( 10, 0, 500, opts );
console.log( x );

var y = discreteUniform( x.length, 0, 255, opts );
console.log( y );

var param = discreteUniform( 5, -5, 5, opts );
console.log( param );

// Apply a plane rotation:
drotm( x.length, x, 1, y, 1, param );
console.log( x );
console.log( y );
```

</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/blas/base/drotm.h"
```

#### c_drotm( N, \*X, strideX, \*Y, strideY, param )

Applies a modified Givens plane rotation.

```c
double x[] = { 1.0, 2.0, 3.0, 4.0, 5.0 };
double y[] = { 6.0, 7.0, 8.0, 9.0, 10.0 };
const double param[5] = { 0.0, 0.0, 2.0, -3.0, 0.0 };

c_drotm( 5, x, 1, y, 1, param );
```
The function accepts the following arguments:
- **N**: `[in] CBLAS_INT` number of indexed elements.
- **X**: `[inout] double*` first input array.
- **strideX**: `[in] CBLAS_INT` index increment for `X`.
- **Y**: `[inout] double*` second input array.
- **strideY**: `[in] CBLAS_INT` index increment for `Y`.
- **param**: `[in] double` parameters for the modified Givens transformation.
```c
void c_drotm( const CBLAS_INT N, double *X, const CBLAS_INT strideX, double *Y, const CBLAS_INT strideY, const double *param );
```

</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/blas/base/drotm.h"
#include <stdio.h>

int main( void ) {
// Create strided arrays:
double x[] = { 1.0, 2.0, 3.0, 4.0, 5.0 };
double y[] = { 6.0, 7.0, 8.0, 9.0, 10.0 };

// Specify the number of elements:
const int N = 5;

// Specify stride lengths:
const int strideX = 1;
const int strideY = 1;

// Specify parameters for the modified Givens transformation:
const double param[5] = { 0.0, 0.0, 2.0, -3.0, 0.0 };

// Apply plane rotation:
c_drotm( N, x, strideX, y, strideY, param );

// Print the result:
for ( int i = 0; i < 5; i++ ) {
printf( "x[ %i ] = %lf, y[ %i ] = %lf\n", i, x[ i ], i, y[ i ] );
}
}
```
</section>
<!-- /.examples -->
</section>
<!-- /.c -->
<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
<section class="related">
</section>
<!-- /.related -->
<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
<section class="links">
[blas]: http://www.netlib.org/blas
[drotm]: https://www.netlib.org/lapack/explore-html/d1/d45/group__rot_gae48ef017306866ac2d5a8c5a52617858.html#gae48ef017306866ac2d5a8c5a5261785
[mdn-float64array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Float64Array
[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
</section>
<!-- /.links -->
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