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* @license Apache-2.0
*
* Copyright (c) 2025 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.
*/
'use strict';
// MODULES //
var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major' );
var loopOrder = require( '@stdlib/ndarray/base/nullary-loop-interchange-order' );
var min = require( '@stdlib/math/base/special/fast/min' );
// FUNCTIONS //
/**
* Initialises an M by N matrix `A` to `beta` on the diagonals and `alpha` on the off diagonals, setting all of matrix `A`.
*
* @private
* @param {NonNegativeInteger} M - number of rows in matrix `A`
* @param {NonNegativeInteger} N - number of columns in matrix `A`
* @param {Float64Array} A - input matrix
* @param {integer} strideA1 - stride of the first dimension of `A`
* @param {integer} strideA2 - stride of the second dimension of `A`
* @param {NonNegativeInteger} offsetA - starting index for `A`
* @param {number} alpha - number to set on off diagonal elements
* @param {number} beta - number to set on diagonal elements
* @returns {Float64Array} `A`
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var A = new Float64Array( 4 );
*
* setAll( 2, 2, A, 2, 1, 0, 0.0, 1.0 );
* // A => <Float64Array>[ 1.0, 0.0, 0.0, 1.0 ]
*/
function setAll( M, N, A, strideA1, strideA2, offsetA, alpha, beta ) {
var da0;
var da1;
var sh;
var S0;
var S1;
var sa;
var ia;
var i0;
var i1;
var o;
// Resolve the loop interchange order:
o = loopOrder( [ M, N ], [ strideA1, strideA2 ] );
sh = o.sh;
sa = o.sx;
// Extract loop variables for purposes of loop interchange: dimensions and loop offset (pointer) increments...
S0 = sh[ 0 ];
S1 = sh[ 1 ];
da0 = sa[ 0 ];
da1 = sa[ 1 ] - ( S0*sa[0] );
// Set the pointers to the first indexed elements in the respective matrices...
ia = offsetA;
// Iterate over the matrix dimensions...
for ( i1 = 0; i1 < S1; i1++ ) {
for ( i0 = 0; i0 < S0; i0++ ) {
A[ ia ] = alpha;
ia += da0;
}
ia += da1;
}
ia = offsetA;
for ( i1 = 0; i1 < min( M, N ); i1++ ) {
A[ ia ] = beta;
ia += strideA1 + strideA2;
}
return A;
}
/**
* Initialises an M by N matrix `A` to `beta` on the diagonals and `alpha` on the off diagonals, setting upper triangular elements of `A`.
*
* @private
* @param {NonNegativeInteger} M - number of rows in matrix `A`
* @param {NonNegativeInteger} N - number of columns in matrix `A`
* @param {Float64Array} A - input matrix
* @param {integer} strideA1 - stride of the first dimension of `A`
* @param {integer} strideA2 - stride of the second dimension of `A`
* @param {NonNegativeInteger} offsetA - starting index for `A`
* @param {number} alpha - number to set on off diagonal elements
* @param {number} beta - number to set on diagonal elements
* @returns {Float64Array} `A`
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var A = new Float64Array( 4 );
*
* setUpper( 2, 2, A, 2, 1, 0, 1.0, 2.0 );
* // A => <Float64Array>[ 2.0, 1.0, 0.0, 2.0 ]
*/
function setUpper( M, N, A, strideA1, strideA2, offsetA, alpha, beta ) {
var ia;
var i0;
var i1;
ia = offsetA;
if ( isRowMajor( [ strideA1, strideA2 ] ) ) {
for ( i1 = 0; i1 < M; i1++ ) {
for ( i0 = i1; i0 < N; i0++ ) {
A[ ia+(i0*strideA2) ] = alpha;
}
ia += strideA1;
}
} else {
for ( i1 = 0; i1 < N; i1++ ) {
for ( i0 = 0; i0 <= min( i1, M-1 ); i0++ ) {
A[ ia+(i0*strideA1) ] = alpha;
}
ia += strideA2;
}
}
ia = offsetA;
for ( i1 = 0; i1 < min( M, N ); i1++ ) {
A[ ia ] = beta;
ia += strideA1 + strideA2;
}
return A;
}
/**
* Initialises an M by N matrix `A` to `beta` on the diagonals and `alpha` on the off diagonals, setting upper triangular elements of `A`.
*
* @private
* @param {NonNegativeInteger} M - number of rows in matrix `A`
* @param {NonNegativeInteger} N - number of columns in matrix `A`
* @param {Float64Array} A - input matrix
* @param {integer} strideA1 - stride of the first dimension of `A`
* @param {integer} strideA2 - stride of the second dimension of `A`
* @param {NonNegativeInteger} offsetA - starting index for `A`
* @param {number} alpha - number to set on off diagonal elements
* @param {number} beta - number to set on diagonal elements
* @returns {Float64Array} `A`
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var A = new Float64Array( 4 );
*
* setLower( 2, 2, A, 2, 1, 0, 1.0, 2.0 );
* // A => <Float64Array>[ 2.0, 0.0, 1.0, 2.0 ]
*/
function setLower( M, N, A, strideA1, strideA2, offsetA, alpha, beta ) {
var ia;
var i0;
var i1;
ia = offsetA;
if ( isRowMajor( [ strideA1, strideA2 ] ) ) {
for ( i1 = 0; i1 < M; i1++ ) {
for ( i0 = 0; i0 <= min( i1, N-1 ); i0++ ) {
A[ ia+(i0*strideA2) ] = alpha;
}
ia += strideA1;
}
} else {
for ( i1 = 0; i1 < N; i1++ ) {
for ( i0 = i1; i0 < M; i0++ ) {
A[ ia+(i0*strideA1) ] = alpha;
}
ia += strideA2;
}
}
ia = offsetA;
for ( i1 = 0; i1 < min( M, N ); i1++ ) {
A[ ia ] = beta;
ia += strideA1 + strideA2;
}
return A;
}
// MAIN //
/**
* Initialises an M by N matrix `A` to `beta` on the diagonals and `alpha` on the off diagonals.
*
* @private
* @param {string} uplo - specifies whether to set the upper or lower triangular/trapezoidal part of matrix `A`
* @param {NonNegativeInteger} M - number of rows in matrix `A`
* @param {NonNegativeInteger} N - number of columns in matrix `A`
* @param {Float64Array} A - input matrix
* @param {integer} strideA1 - stride of the first dimension of `A`
* @param {integer} strideA2 - stride of the second dimension of `A`
* @param {NonNegativeInteger} offsetA - starting index for `A`
* @param {number} alpha - number to set on off diagonal elements
* @param {number} beta - number to set on diagonal elements
* @returns {Float64Array} `A`
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var A = new Float64Array( 4 );
*
* dlaset( 'all', 2, 2, A, 2, 1, 0, 0.0, 1.0 );
* // A => <Float64Array>[ 1.0, 0.0, 0.0, 1.0 ]
*/
function dlaset( uplo, M, N, A, strideA1, strideA2, offsetA, alpha, beta ) {
if ( uplo === 'upper' ) {
return setUpper( M, N, A, strideA1, strideA2, offsetA, alpha, beta );
}
if ( uplo === 'lower' ) {
return setLower( M, N, A, strideA1, strideA2, offsetA, alpha, beta );
}
return setAll( M, N, A, strideA1, strideA2, offsetA, alpha, beta );
}
// EXPORTS //
module.exports = dlaset;
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