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) 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 isLayout = require( '@stdlib/blas/base/assert/is-layout' );
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 //
/**
* Computes the LU factorization with complete pivoting of the general n-by-n matrix `A`.
*
* ## Notes
*
* - `A` should have dimension (LDA, N) and is overwritten with the factors L and U from the factorization A = `P*L*U*Q`; the unit diagonal elements of L are not stored.
* - If U(k, k) appears to be less than `SMIN`, U(k, k) is given the value of `SMIN`, i.e., giving a nonsingular perturbed system.
* - `IPIV` should have `N` elements and is overwritten with the pivot indices; for 1 <= i <= N, row i of the matrix has been interchanged with row IPIV(i).
* - `JPIV` should have `N` elements and is overwritten with the pivot indices; for 1 <= i <= N, column i of the matrix has been interchanged with column JPIV(i).
* - Returns 0 on successful exit and if returns `k`, U(k, k) is likely to produce overflow if we try to solve for x in Ax = b. So U is perturbed to avoid the overflow.
*
* @param {string} order - storage layout
* @param {PositiveInteger} N - number of columns in matrix `A`
* @param {Float64Array} A - input matrix
* @param {PositiveInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
* @param {Int32Array} IPIV - vector of pivot indices for rows
* @param {Int32Array} JPIV - vector of pivot indices for columns
* @throws {TypeError} first argument must be a valid order
* @throws {RangeError} fourth argument must be greater than or equal to max(1,M)
* @returns {integer} status code
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
* var Int32Array = require( '@stdlib/array/int32' );
*
* var A = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 10.0 ] );
* var IPIV = new Int32Array( 3 );
* var JPIV = new Int32Array( 3 );
*
* dgetc2( 'column-major', 3, A, 3, IPIV, JPIV );
* // A => <Float64Array>[ 10, 0.7, 0.8, 3, ~-1.1, ~0.36, 6, ~-0.2, ~0.27 ]
* // JPIV = <Int32Array>[ 3, 3, 3 ]
* // IPIV = <Int32Array>[ 3, 3, 3 ]
*/
function dgetc2( order, N, A, LDA, IPIV, JPIV ) {
var sa1;
var sa2;
if ( !isLayout( order ) ) {
throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
}
if ( isRowMajor( order ) && LDA < max( 1, N ) ) {
throw new RangeError( format( 'invalid argument. Fourth argument must be greater than or equal to max(1,%d). Value: `%d`.', N, LDA ) );
}
if ( isColumnMajor( order ) ) {
sa1 = 1;
sa2 = LDA;
} else { // order === 'row-major'
sa1 = LDA;
sa2 = 1;
}
return base( N, A, sa1, sa2, 0, IPIV, 1, 0, JPIV, 1, 0 );
}
// EXPORTS //
module.exports = dgetc2;
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