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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 isMatrixTriangle = require( '@stdlib/blas/base/assert/is-matrix-triangle' );
var isDiagonalType = require( '@stdlib/blas/base/assert/is-diagonal-type' );
var format = require( '@stdlib/string/format' );
var base = require( './base.js' );
// MAIN //
/**
* Computes the inverse of a triangular matrix.
*
* @param {string} order - storage layout
* @param {string} uplo - specifies whether to copy the upper or lower triangular/trapezoidal part of matrix `A`
* @param {string} diag - specifies whether or not `A` is unit triangular
* @param {NonNegativeInteger} N - order of matrix `A`
* @param {Float64Array} A - input matrix
* @param {NonNegativeInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
* @throws {TypeError} first argument must be a valid order
* @throws {TypeError} second argument must specify whether the lower or upper triangular matrix is supplied
* @throws {TypeError} third argument must specify whether the matrix is unit triangular or not
* @returns {Float64Array} output matrix
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var A = new Float64Array( [ 1.0, 2.0, 0.0, 4.0 ] );
* dtrti2( 'row-major', 'upper', 'non-unit', 2, A, 2 );
* // A => <Float64Array>[ 1.0, -0.5, 0.0, 0.25 ]
*/
function dtrti2( order, uplo, diag, N, A, LDA ) {
var sa1;
var sa2;
if ( !isLayout( order ) ) {
throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
}
if ( !isMatrixTriangle( uplo ) ) {
throw new TypeError( format( 'invalid argument. Second argument must specify whether the lower or upper triangular matrix is supplied. Value: `%s`.', uplo ) );
}
if ( !isDiagonalType( diag ) ) {
throw new TypeError( format( 'invalid argument. Third argument must specify whether the matrix is unit triangular or not. Value: `%s`.', diag ) );
}
if ( order === 'column-major' ) {
sa1 = 1;
sa2 = LDA;
} else { // order === 'row-major'
sa1 = LDA;
sa2 = 1;
}
return base( uplo, diag, N, A, sa1, sa2, 0 );
}
// EXPORTS //
module.exports = dtrti2;
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