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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 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 //
/**
* Multiplies a matrix `C` by an orthogonal matrix `Q` from a QR factorization.
*
* ## Notes
*
* `dorm2r` overwrites the general real M by N matrix C with
*
* - `Q * C` if side = 'left' and trans = 'no-transpose'
* - `Q^T * C` if side = 'left' and trans = 'transpose'
* - `C * Q` if side = 'right' and trans = 'no-transpose'
* - `C * Q^T` if side = 'right' and trans = 'transpose'
*
* where Q is a real orthogonal matrix defined as the product of K elementary reflectors `Q = H(1) H(2) ... H(K)` as returned by `dgeqrf`. Q is of order M if side = 'left' and of order N if side = 'right'.
*
* @param {string} order - storage layout
* @param {string} side - specifies the side of multiplication with `C`
* @param {string} trans - specifies the operation to be performed
* @param {NonNegativeInteger} M - number of rows in matrix `C`
* @param {NonNegativeInteger} N - number of columns in matrix `C`
* @param {NonNegativeInteger} K - number of elementary reflectors whose product defines the matrix `Q`
* @param {Float64Array} A - input matrix containing the elementary reflectors
* @param {PositiveInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
* @param {Float64Array} tau - array containing the scalar factors of the elementary reflectors
* @param {Float64Array} C - input/output matrix to be multiplied
* @param {PositiveInteger} LDC - stride of the first dimension of `C` (a.k.a., leading dimension of the matrix `C`)
* @param {Float64Array} work - workspace array for intermediate calculations
* @throws {TypeError} first argument must be a valid order
* @throws {TypeError} second argument must be a valid operation side
* @throws {TypeError} third argument must be a valid transpose operation
* @throws {RangeError} eighth argument must be greater than or equal to max(1,M) when side is 'left' or max(1,N) when side is 'right'
* @throws {RangeError} twelfth argument must be greater than or equal to max(1,M)
* @returns {Float64Array} the modified matrix `C`
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var A = new Float64Array( [ 1.0, 0.0, 0.0, 2.0, 4.0, 0.0, 3.0, 5.0, 6.0 ] );
* var tau = new Float64Array( [ 7.0, 8.0, 9.0 ] );
* var C = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0 ] );
* var work = new Float64Array( 3 );
*
* dorm2r( 'row-major', 'left', 'no-transpose', 3, 3, 3, A, 3, tau, C, 3, work );
* // C => <Float64Array>[ -261638.0, -298618.0, -335598.0, -521066.0, -594715.0, -668364.0, -773933.0, -883324.0, -992715.0 ]
*/
function dorm2r( order, side, trans, M, N, K, A, LDA, tau, C, LDC, work ) { // eslint-disable-line max-params
var sa1;
var sa2;
var sc1;
var sc2;
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 operation side. Value: `%s`.', side ) );
}
if ( !isTransposeOperation( trans ) ) {
throw new TypeError( format( 'invalid argument. Third argument must be a valid transpose operation. Value: `%s`.', trans ) );
}
if ( isColumnMajor( order ) ) {
if ( side === 'left' && LDA < max( 1, M ) ) {
throw new RangeError( format( 'invalid argument. Eighth argument must be greater than or equal to max(1,%d) when side is left. Value: `%d`.', M, LDA ) );
}
if ( side === 'right' && LDA < max( 1, N ) ) {
throw new RangeError( format( 'invalid argument. Eighth argument must be greater than or equal to max(1,%d) when side is right. Value: `%d`.', N, LDA ) );
}
} else if ( LDA < max( 1, K ) ) {
throw new RangeError( format( 'invalid argument. Eighth argument must be greater than or equal to max(1,%d) for row-major layout. Value: `%d`.', K, LDA ) );
}
if ( isRowMajor( order ) && LDC < max( 1, N ) ) {
throw new RangeError( format( 'invalid argument. Twelfth argument must be greater than or equal to max(1,%d). Value: `%d`.', N, LDC ) );
}
if ( isColumnMajor( order ) && LDC < max( 1, M ) ) {
throw new RangeError( format( 'invalid argument. Twelfth argument must be greater than or equal to max(1,%d). Value: `%d`.', M, LDC ) );
}
if ( isColumnMajor( order ) ) {
sa1 = 1;
sa2 = LDA;
sc1 = 1;
sc2 = LDC;
} else {
sa1 = LDA;
sa2 = 1;
sc1 = LDC;
sc2 = 1;
}
return base( side, trans, M, N, K, A, sa1, sa2, 0, tau, 1, 0, C, sc1, sc2, 0, work, 1, 0 ); // eslint-disable-line max-len
}
// EXPORTS //
module.exports = dorm2r;
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