sgetrans

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

Installation

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

Usage

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.

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.
• LDA: stride of the first dimension of A (a.k.a., leading dimension of the matrix A).
• out: output 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 views.

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.

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.
• sa1: stride of the first dimension of A.
• sa2: stride of the second dimension of A.
• oa: starting index for A.
• out: output 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 views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example,

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 ]

Notes

• sgetrans() corresponds to the LAPACK utility routine sge_trans.

Examples

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' ) );

C APIs

Usage

TODO

TODO

TODO.

TODO

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Examples

TODO

Notice

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