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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.
*/
'use strict';
// MODULES //
var max = require( '@stdlib/math/base/special/max' );
var format = require( '@stdlib/string/format' );
var base = require( './base.js' );
// MAIN //
/**
* Computes an `LU` factorization of a real general matrix `A` using elimination with partial pivoting and row interchanges.
*
* ## Notes
*
* - The factorization has the form `A = P * L * U`, where `P` is a permutation matrix, `L` is lower triangular or trapezoidal with unit diagonal elements, and `U` is upper triangular or trapezoidal.
* - `A` is overwritten in-place. The strictly lower triangular part contains the multipliers defining `L`, and the upper triangular part contains `U`. The unit diagonal of `L` is not stored.
* - `IPIV` contains zero-based pivot indices. For each `i` in `0 <= i < min(M,N)`, row `i` is interchanged with row `IPIV(i)`.
* - If the returned status code is greater than zero, `U(k,k)` is exactly zero for `k` equal to the status code. The factorization has been completed, but `U` is singular.
*
* @param {NonNegativeInteger} M - number of rows in `A`
* @param {NonNegativeInteger} N - number of columns in `A`
* @param {Float64Array} A - input matrix
* @param {PositiveInteger} LDA - stride between successive columns of `A`
* @param {Int32Array} IPIV - vector of pivot indices
* @throws {RangeError} first argument must be a nonnegative integer
* @throws {RangeError} second argument must be a nonnegative integer
* @throws {RangeError} fourth argument must be greater than or equal to max(1,M)
* @returns {integer} status code
*/
function dgetrf( M, N, A, LDA, IPIV ) {
if ( M < 0 ) {
throw new RangeError( format( 'invalid argument. First argument must be a nonnegative integer. Value: `%d`.', M ) );
}
if ( N < 0 ) {
throw new RangeError( format( 'invalid argument. Second argument must be a nonnegative integer. Value: `%d`.', N ) );
}
if ( LDA < max( 1, M ) ) {
throw new RangeError( format( 'invalid argument. Fourth argument must be greater than or equal to max(1,%d). Value: `%d`.', M, LDA ) );
}
return base( M, N, A, 1, LDA, 0, IPIV, 1, 0 );
}
// EXPORTS //
module.exports = dgetrf;
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