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* @license Apache-2.0
*
* Copyright (c) 2026 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.
*/
/* eslint-disable max-len, max-params */
'use strict';
// MODULES //
var isLayout = require( '@stdlib/blas/base/assert/is-layout' );
var format = require( '@stdlib/string/format' );
var isOperationSide = require( '@stdlib/blas/base/assert/is-operation-side' );
var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major-string' );
var isMatrixTranspose = require( '@stdlib/blas/base/assert/is-transpose-operation' );
var max = require( '@stdlib/math/base/special/fast/max' );
var base = require( './base.js' );
// MAIN //
/**
* Applies an orthogonal matrix `Q`, formed from Householder reflectors returned by `DGEQRF`, to overwrite matrix `C` by multiplying from the left or right with `Q` or `Q^T`.
*
* ## Notes
*
* - `Q` is a real orthogonal matrix defined as the product of k elementary reflectors, Q = H(k) . . . H(2) H(1) as returned by `DGELQF`.
*
* - `Q` is of order `M` if SIDE = 'left' and of order `N` if SIDE = 'R'.
*
* - `DORML2` overwrites the general real `M` by `N` matrix `C` with,
*
* - `Q * C` if SIDE = 'left' and TRANS = 'no-transpose', or
* - `Q^T * C` if SIDE = 'left' and TRANS = 'transpose', or
* - `C * Q` if SIDE = 'right' and TRANS = 'no-transpose', or
* - `C * Q^T` if SIDE = 'right' and TRANS = 'transpose'.
*
* - `WORK` must have length, `LWORK >= max(1,N)` if SIDE = `left`, and `LWORK >= max(1,M)` if SIDE = `right`.
*
* @param {string} order - storage layout
* @param {string} side - specifies the side of multiplication with `C`
* @param {string} trans - `'no-transpose'` for `Q`, `'transpose'` for `Q^T`
* @param {NonNegativeInteger} M - number of rows of `C`
* @param {NonNegativeInteger} N - number of columns of `C`
* @param {NonNegativeInteger} K - number of elementary reflectors
* @param {Float64Array} A - reflector vectors from `DGEQRF`
* @param {integer} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
* @param {Float64Array} TAU - scalar factors of reflectors
* @param {Float64Array} C - input/output matrix
* @param {integer} LDC - stride of the first dimension of `C` (a.k.a., leading dimension of the matrix `C`)
* @param {Float64Array} WORK - workspace array
* @param {NonNegativeInteger} LWORK - dimension of the array `WORK`
* @throws {TypeError} first argument must be a valid order
* @throws {TypeError} second argument must be a valid side
* @throws {TypeError} third argument must be a valid transpose operation
* @throws {RangeError} fourth argument must be a non-negative integer
* @throws {RangeError} fifth argument must be a non-negative integer
* @throws {RangeError} sixth argument must be a non-negative integer
* @throws {RangeError} sixth argument must be smaller than the order of `Q`
* @throws {RangeError} eighth argument must be a valid `LDA` value
* @throws {RangeError} eleventh argument must be a valid `LDC` value
* @throws {RangeError} thirteenth argument must be a valid `LWORK` value
* @returns {integer} status code (0 if successful)
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var A = new Float64Array( [ 1, 0, 0 ] );
* var TAU = new Float64Array( [ 2 ] );
* var C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
* var WORK = new Float64Array( 64 );
*
* var info = dormqr( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 2, TAU, C, 3, WORK, 64 );
* // returns 0
* // C => <Float64Array>[ -1, -3, -5, 2, 4, 6 ]
* // WORK[ 0 ] => 4256
*/
function dormqr( order, side, trans, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK ) {
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 ( !isMatrixTranspose( trans ) ) {
throw new TypeError( format( 'invalid argument. Third argument must be a valid transpose operation. Value: `%s`.', trans ) );
}
if ( M < 0 ) {
throw new RangeError( format( 'invalid argument. Fourth argument must be a nonnegative integer. Value: `%d`.', M ) );
}
if ( N < 0 ) {
throw new RangeError( format( 'invalid argument. Fifth argument must be a nonnegative integer. Value: `%d`.', N ) );
}
if ( K < 0 ) {
throw new RangeError( format( 'invalid argument. Sixth argument must be a nonnegative integer. Value: `%d`.', K ) );
}
if ( side === 'left' ) {
if ( K > M ) {
throw new RangeError( format( 'invalid argument. Sixth argument must be smaller than the order of `Q`. Value: `%d`.', K ) );
}
if ( ( !isRowMajor( order ) ) && LDA < max( 1, M ) ) {
throw new RangeError( format( 'invalid argument. Eighth argument must be greater than or equal to `max(1,M)`. Value: `%d`.', LDA ) );
}
if ( LWORK < max( 1, N ) && LWORK !== -1 ) {
throw new RangeError( format( 'invalid argument. Thirteenth argument must be greater than or equal to `max(1, N)` when `SIDE = \'L\'`. Value: `%d`.', LWORK ) );
}
}
if ( side === 'right' ) {
if ( K > N ) {
throw new RangeError( format( 'invalid argument. Sixth argument must be smaller than the order of `Q`. Value: `%d`.', K ) );
}
if ( ( !isRowMajor( order ) ) && LDA < max( 1, N ) ) {
throw new RangeError( format( 'invalid argument. Eighth argument must be greater than or equal to `max(1,N)`. Value: `%d`.', LDA ) );
}
if ( LWORK < max( 1, M ) && LWORK !== -1 ) {
throw new RangeError( format( 'invalid argument. Thirteenth argument must be greater than or equal to `max(1, M)` when `SIDE = \'R\'`. Value: `%d`.', LWORK ) );
}
}
if ( isRowMajor( order ) ) {
if ( LDA < max( 1, K ) ) {
throw new RangeError( format( 'invalid argument. Eighth argument must be greater than or equal to `max(1,K)`. Value: `%d`.', LDA ) );
}
if ( LDC < max( 1, N ) ) {
throw new RangeError( format( 'invalid argument. Eleventh argument must be greater than or equal to `max(1,N)`. Value: `%d`.', LDC ) );
}
} else if ( LDC < max( 1, M ) ) {
throw new RangeError( format( 'invalid argument. Eleventh argument must be greater than or equal to `max(1,M)`. Value: `%d`.', LDC ) );
}
if ( order === 'column-major' ) {
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, LWORK );
}
// EXPORTS //
module.exports = dormqr;
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