npm package: @stdlib/lapack-base-sge-trans
Description: Convert a matrix from row-major layout to column-major layout or vice versa.
Author: The Stdlib Authors
Latest version: 0.1.1

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# sgetrans

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] <!-- [![dependencies][dependencies-image]][dependencies-url] -->

> Convert a matrix from row-major layout to column-major layout or vice versa.

<section class="installation">

## Installation

```bash
npm install @stdlib/lapack-base-sge-trans
```

</section>

<section class="usage">

## Usage

```javascript
var sgetrans = require( '@stdlib/lapack-base-sge-trans' );
```

#### sgetrans( order, M, N, A, LDA, out, LDO )

Converts a matrix from row-major layout to column-major layout or vice versa.

```javascript
var Float32Array = require( '@stdlib/array-float32' );

var A = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
var out = new Float32Array( 6 );

out = sgetrans( 'row-major', 2, 3, A, 3, out, 2 );
// returns <Float32Array>[ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ]
```

The function has the following parameters:

-   **order**: storage layout.
-   **M**: number of rows in `A`.
-   **N**: number of columns in `A`.
-   **A**: input [`Float32Array`][mdn-float32array].
-   **LDA**: stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`).
-   **out**: output [`Float32Array`][mdn-float32array].
-   **LDO**: stride of the first dimension of `out` (a.k.a., leading dimension of the matrix `out`).

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 Float32Array = require( '@stdlib/array-float32' );

// Initial arrays...
var A0 = new Float32Array( [ 0.0, 1.0, 2.0, 3.0, 4.0 ] );
var out0 = new Float32Array( [ 0.0, 1.0, 2.0, 3.0, 4.0 ] );

// Create offset views...
var A1 = new Float32Array( A0.buffer, A0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
var out1 = new Float32Array( out0.buffer, out0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

sgetrans( 'row-major', 2, 2, A1, 2, out1, 2 );
// out0 => <Float32Array>[ 0.0, 1.0, 3.0, 2.0, 4.0 ]
```

#### sgetrans.ndarray( M, N, A, sa1, sa2, oa, out, so1, so2, oo )

Converts a matrix from row-major layout to column-major layout or vice versa using alternative indexing semantics.

```javascript
var Float32Array = require( '@stdlib/array-float32' );

var A = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
var out = new Float32Array( 6 );

out = sgetrans.ndarray( 2, 3, A, 3, 1, 0, out, 2, 1, 0 );
// returns <Float32Array>[ 1.0, 4.0, 2.0, 5.0, 3.0, 6.0 ]
```

The function has the following parameters:

-   **M**: number of rows in `A`.
-   **N**: number of columns in `A`.
-   **A**: input [`Float32Array`][mdn-float32array].
-   **sa1**: stride of the first dimension of `A`.
-   **sa2**: stride of the second dimension of `A`.
-   **oa**: starting index for `A`.
-   **out**: output [`Float32Array`][mdn-float32array].
-   **so1**: stride of the first dimension of `out`.
-   **so2**: stride of the second dimension of `out`.
-   **oo**: starting index for `out`.

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,

```javascript
var Float32Array = require( '@stdlib/array-float32' );

var A = new Float32Array( [ 0.0, 1.0, 2.0, 3.0, 4.0 ] );
var out = new Float32Array( [ 0.0, 0.0, 11.0, 312.0, 53.0, 412.0 ] );

sgetrans.ndarray( 2, 2, A, 2, 1, 1, out, 2, 1, 2 );
// out => <Float32Array>[ 0.0, 0.0, 1.0, 3.0, 2.0, 4.0 ]
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

-   `sgetrans()` corresponds to the [LAPACK][lapack] utility routine [`sge_trans`][lapack-sge-trans].

</section>

<!-- /.notes -->

<section class="examples">

## Examples

<!-- eslint-disable max-len -->

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

```javascript
var ndarray2array = require( '@stdlib/ndarray-base-to-array' );
var shape2strides = require( '@stdlib/ndarray-base-shape2strides' );
var numel = require( '@stdlib/ndarray-base-numel' );
var Float32Array = require( '@stdlib/array-float32' );
var sgetrans = require( '@stdlib/lapack-base-sge-trans' );

var shapeA = [ 2, 3 ];
var shapeOut = [ 3, 2 ];

// Row-major layout...
var order = 'row-major';

var stridesA = shape2strides( shapeA, order );
var stridesOut = shape2strides( shapeOut, order );

var A = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
console.log( ndarray2array( A, shapeA, stridesA, 0, order ) );

var out = new Float32Array( numel( shapeA ) );

out = sgetrans( order, shapeA[0], shapeA[1], A, stridesA[0], out, stridesOut[0] );
console.log( ndarray2array( out, shapeOut, stridesOut, 0, order ) );

// Column-major layout...
order = 'column-major';

stridesA = shape2strides( shapeA, order );
stridesOut = shape2strides( shapeOut, order );

A = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
console.log( ndarray2array( A, shapeA, stridesA, 0, order ) );

out = new Float32Array( numel( shapeA ) );

out = sgetrans( order, shapeA[0], shapeA[1], A, stridesA[1], out, stridesOut[1] );
console.log( ndarray2array( out, shapeOut, stridesOut, 0, order ) );

// Input and output arrays have different layouts...
stridesA = shape2strides( shapeA, 'row-major' );
stridesOut = shape2strides( shapeOut, 'column-major' );

A = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
console.log( ndarray2array( A, shapeA, stridesA, 0, 'row-major' ) );

out = new Float32Array( numel( shapeA ) );

out = sgetrans.ndarray( shapeA[0], shapeA[1], A, stridesA[0], stridesA[1], 0, out, stridesOut[0], stridesOut[1], 0 );
console.log( ndarray2array( out, shapeOut, stridesOut, 0, 'column-major' ) );

// Input and output arrays have different layouts...
stridesA = shape2strides( shapeA, 'column-major' );
stridesOut = shape2strides( shapeOut, 'row-major' );

A = new Float32Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
console.log( ndarray2array( A, shapeA, stridesA, 0, 'column-major' ) );

out = new Float32Array( numel( shapeA ) );

out = sgetrans.ndarray( shapeA[0], shapeA[1], A, stridesA[0], stridesA[1], 0, out, stridesOut[0], stridesOut[1], 0 );
console.log( ndarray2array( out, shapeOut, stridesOut, 0, 'row-major' ) );
```

</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
TODO
```

#### TODO

TODO.

```c
TODO
```

TODO

```c
TODO
```

</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
TODO
```

</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 -->

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<section class="main-repo" >

* * *

## Notice

This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].

#### Community

[![Chat][chat-image]][chat-url]

---

## License

See [LICENSE][stdlib-license].


## Copyright

Copyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].

</section>

<!-- /.stdlib -->

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[deno-url]: https://github.com/stdlib-js/lapack-base-sge-trans/tree/deno
[deno-readme]: https://github.com/stdlib-js/lapack-base-sge-trans/blob/deno/README.md
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[branches-url]: https://github.com/stdlib-js/lapack-base-sge-trans/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/lapack-base-sge-trans/main/LICENSE

[lapack]: https://www.netlib.org/lapack/explore-html/

[lapack-sge-trans]: https://github.com/OpenMathLib/OpenBLAS/blob/develop/lapack-netlib/LAPACKE/utils/lapacke_sge_trans.c

[mdn-float32array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Float32Array

[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray

</section>

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