Press n or j to go to the next uncovered block, b, p or k for the previous block.
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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 isLayout = require( '@stdlib/blas/base/assert/is-layout' );
var isOperationSide = require( '@stdlib/blas/base/assert/is-operation-side' );
var isTransposeOperation = require( '@stdlib/blas/base/assert/is-transpose-operation' );
var isMatrixOrientation = require( '@stdlib/blas/base/assert/is-matrix-orientation' );
var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major-string' );
var isColumnMajor = require( '@stdlib/ndarray/base/assert/is-column-major-string' );
var max = require( '@stdlib/math/base/special/max' );
var format = require( '@stdlib/string/format' );
var base = require( './base.js' );
// MAIN //
/**
* Applies a real block reflector `H` or its transpose `H ^ T` to a real `M` by `N` matrix `C`, from either the left or the right.
*
* @param {string} order - storage layout
* @param {string} side - specifies whether `H` or `H ^ T` is applied from the left or right
* @param {string} trans - specifies whether to apply `H` or `H ^ T` (`'no-transpose'` or `'transpose'`)
* @param {string} direct - indicates how `H` is formed from a product of elementary reflectors (`'forward'` or `'backward'`)
* @param {string} storev - indicates how the vectors which define the elementary reflectors are stored (`'column-major'` or `'row-major'`)
* @param {NonNegativeInteger} M - number of rows of the matrix `C`
* @param {NonNegativeInteger} N - number of columns of the matrix `C`
* @param {NonNegativeInteger} K - order of the matrix `T`
* @param {Float64Array} V - input matrix
* @param {PositiveInteger} LDV - leading dimension of `V`
* @param {Float64Array} T - input matrix (upper/lower triangular as dictated by `direct`/`storev`)
* @param {PositiveInteger} LDT - leading dimension of `T` (must be ≥ max(1,K))
* @param {Float64Array} C - input/output matrix
* @param {PositiveInteger} LDC - leading dimension of `C`
* @param {Float64Array} work - work array
* @param {PositiveInteger} LDWORK - leading dimension of `work`
* @throws {TypeError} first argument must be a valid order
* @throws {TypeError} invalid `side`
* @throws {TypeError} invalid `trans`
* @throws {TypeError} invalid `direct`
* @throws {TypeError} invalid `storev`
* @throws {RangeError} invalid leading dimension(s)
* @returns {Float64Array} updated matrix `C`
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var V = new Float64Array( [ 10.0, 40.0, 70.0, 20.0, 50.0, 80.0, 30.0, 60.0, 90.0 ] );
* var T = new Float64Array( [ 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0 ] );
* var C = new Float64Array( [ 11.0, 12.0, 13.0, 21.0, 22.0, 23.0, 31.0, 32.0, 33.0 ] );
* var work = new Float64Array( 9 );
*
* dlarfb( 'row-major', 'left', 'transpose', 'forward', 'columns', 3, 3, 3, V, 3, T, 3, C, 3, work, 3 );
*
* // C => <Float64Array>[ -1350.00, -1400.00, -1450.00, -30961.00, -32102.00, -33243.00, -266612.00, -275464.00, -284316.00 ]
*/
function dlarfb( order, side, trans, direct, storev, M, N, K, V, LDV, T, LDT, C, LDC, work, LDWORK ) { // eslint-disable-line max-params, max-len
var requiredLdwork;
var sv1;
var sv2;
var st1;
var st2;
var sc1;
var sc2;
var sw1;
var sw2;
if ( !isLayout( order ) ) {
throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
}
if ( !isOperationSide( side ) ) {
throw new TypeError( format( 'invalid argument. Second argument must be a valid BLAS operation side. Value: `%s`.', side ) );
}
if ( !isTransposeOperation( trans ) ) {
throw new TypeError( format( 'invalid argument. Third argument must be a valid BLAS transpose operation. Value: `%s`.', trans ) );
}
if ( direct !== 'forward' && direct !== 'backward' ) {
throw new TypeError( format( 'invalid argument. Fourth argument must be either `forward` or `backward`. Value: `%s`.', direct ) );
}
if ( !isMatrixOrientation( storev ) ) {
throw new TypeError( format( 'invalid argument. Fifth argument must be a valid matrix orientation. Value: `%s`.', storev ) );
}
if ( isRowMajor( order ) ) {
if ( LDC < max( 1, N ) ) {
throw new RangeError( format( 'invalid argument. Thirteenth argument must be greater than or equal to max(1,%d). Value: `%d`.', N, LDC ) );
}
if ( LDT < max( 1, K ) ) {
throw new RangeError( format( 'invalid argument. Twelfth argument must be greater than or equal to max(1,%d). Value: `%d`.', K, LDT ) );
}
if ( storev === 'columns' ) {
if ( LDV < max( 1, K ) ) {
throw new RangeError( format( 'invalid argument. Eleventh argument must be greater than or equal to max(1,%d). Value: `%d`.', K, LDV ) );
}
} else if ( storev === 'rows' ) {
if ( side === 'left' ) {
if ( LDV < max( 1, M ) ) {
throw new RangeError( format( 'invalid argument. Eleventh argument must be greater than or equal to max(1,%d). Value: `%d`.', M, LDV ) );
}
} else if ( side === 'right' ) {
if ( LDV < max( 1, N ) ) {
throw new RangeError( format( 'invalid argument. Eleventh argument must be greater than or equal to max(1,%d). Value: `%d`.', N, LDV ) );
}
}
}
if ( LDWORK < max( 1, K ) ) {
throw new RangeError( format( 'invalid argument. Fifteenth argument must be greater than or equal to max(1,%d). Value: `%d`.', K, LDWORK ) );
}
} else if ( isColumnMajor( order ) ) {
if ( LDC < max( 1, M ) ) {
throw new RangeError( format( 'invalid argument. Thirteenth argument must be greater than or equal to max(1,%d). Value: `%d`.', M, LDC ) );
}
if ( LDT < max( 1, K ) ) {
throw new RangeError( format( 'invalid argument. Twelfth argument must be greater than or equal to max(1,%d). Value: `%d`.', K, LDT ) );
}
if ( storev === 'columns' ) {
if ( side === 'left' ) {
if ( LDV < max( 1, M ) ) {
throw new RangeError( format( 'invalid argument. Eleventh argument must be greater than or equal to max(1,%d). Value: `%d`.', M, LDV ) );
}
} else if ( side === 'right' ) {
if ( LDV < max( 1, N ) ) {
throw new RangeError( format( 'invalid argument. Eleventh argument must be greater than or equal to max(1,%d). Value: `%d`.', N, LDV ) );
}
}
} else if ( storev === 'rows' ) {
if ( LDV < max( 1, K ) ) {
throw new RangeError( format( 'invalid argument. Eleventh argument must be greater than or equal to max(1,%d). Value: `%d`.', K, LDV ) );
}
}
if ( side === 'left' ) {
requiredLdwork = N;
} else {
requiredLdwork = M;
}
if ( LDWORK < max( 1, requiredLdwork ) ) {
throw new RangeError( format( 'invalid argument. Fifteenth argument must be greater than or equal to max(1,%d). Value: `%d`.', requiredLdwork, LDWORK ) );
}
}
if ( isColumnMajor( order ) ) {
sv1 = 1;
sv2 = LDV;
st1 = 1;
st2 = LDT;
sc1 = 1;
sc2 = LDC;
sw1 = 1;
sw2 = LDWORK;
} else {
sv1 = LDV;
sv2 = 1;
st1 = LDT;
st2 = 1;
sc1 = LDC;
sc2 = 1;
sw1 = LDWORK;
sw2 = 1;
}
return base( side, trans, direct, storev, M, N, K, V, sv1, sv2, 0, T, st1, st2, 0, C, sc1, sc2, 0, work, sw1, sw2, 0 ); // eslint-disable-line max-len
}
// EXPORTS //
module.exports = dlarfb;
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