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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 format = require( '@stdlib/string/format' );
var max = require( '@stdlib/math/base/special/fast/max' );
var base = require( './base.js' );
// MAIN //
/**
* Generates an `M-by-N` real orthogonal matrix `Q` from the elementary reflectors returned by `DGELQF` using alternative indexing semantics.
*
* ## Notes
*
* - On entry, the i-th row must contain the vector which defines the elementary reflector `H(i)`, for `i = 1,2,...,K`, as returned by `DGELQF` in the first `K` rows of its array argument `A`.
* - On exit, the `M-by-N` orthogonal matrix `Q`.
* - `WORK` must have length, `LWORK >= max(1,M)`. For optimum performance `LWORK >= M*NB`.
*
* @param {NonNegativeInteger} M - number of rows of `Q`
* @param {NonNegativeInteger} N - number of columns of `Q`
* @param {NonNegativeInteger} K - number of elementary reflectors
* @param {Float64Array} A - input/output matrix
* @param {integer} strideA1 - stride length for the first dimension of `A`
* @param {integer} strideA2 - stride length for the second dimension of `A`
* @param {NonNegativeInteger} offsetA - starting index of `A`
* @param {Float64Array} TAU - scalar factors of reflectors
* @param {integer} strideTAU - stride length for `TAU`
* @param {NonNegativeInteger} offsetTAU - starting index of `TAU`
* @param {Float64Array} WORK - workspace array
* @param {integer} strideWORK - stride length for `WORK`
* @param {NonNegativeInteger} offsetWORK - starting index of `WORK`
* @param {NonNegativeInteger} LWORK - dimension of the array `WORK`
* @throws {RangeError} first argument must be a non-negative integer
* @throws {RangeError} second argument must be greater than or equal to `M`
* @throws {RangeError} third argument must be a non-negative integer and smaller than or equal to `M`
* @throws {RangeError} fourteenth argument must be a valid `LWORK` value
* @returns {integer} status code
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var A = new Float64Array( [ 1, 0, 0, -1, -2, 0 ] );
* var TAU = new Float64Array( [ 1, 1 ] );
* var WORK = new Float64Array( 10 );
*
* var info = dorglq( 2, 3, 2, A, 1, 2, 0, TAU, 1, 0, WORK, 1, 0, 10 );
* // A => <Float64Array>[ 0, 0, 0, 0, 2, 0 ]
* // info => 0
* // WORK[ 0 ] => 2
*/
function dorglq( M, N, K, A, strideA1, strideA2, offsetA, TAU, strideTAU, offsetTAU, WORK, strideWORK, offsetWORK, LWORK ) {
if ( M < 0 ) {
throw new RangeError( format( 'invalid argument. First argument must be a nonnegative integer. Value: `%d`.', M ) );
}
if ( N < M ) {
throw new RangeError( format( 'invalid argument. Second argument must be greater than or equal to `M`. Value: `%d`.', N ) );
}
if ( K < 0 || K > M ) {
throw new RangeError( format( 'invalid argument. Third argument must be a nonnegative integer and smaller than or equal to `M`. Value: `%d`.', K ) );
}
if ( LWORK < max( 1, N ) && LWORK !== -1 ) {
throw new RangeError( format( 'invalid argument. Fourteenth argument must be greater than or equal to `max(1,N)` except when equal to -1. Value: `%d`.', LWORK ) );
}
return base( M, N, K, A, strideA1, strideA2, offsetA, TAU, strideTAU, offsetTAU, WORK, strideWORK, offsetWORK, LWORK );
}
// EXPORTS //
module.exports = dorglq;
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