Press n or j to go to the next uncovered block, b, p or k for the previous block.
| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 | 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 24x 24x 24x 24x 24x 13x 13x 24x 3x 3x 24x 3x 3x 24x 3x 3x 24x 1x 1x 1x 1x 1x 1x 2x 24x 2x 2x 2x 2x 2x | /**
* @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 //
/**
* Generates an M-by-N real orthogonal matrix Q from the elementary reflectors returned by DGELQF/DGELQ2 (LQ factorization, unblocked).
*
* ## Notes
*
* - On entry, the i-th row of A 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.
*
* - Q is defined as the product of K elementary reflectors:
*
* - Q = H(K) ... H(2) H(1), where each H(i) has the form `H(i) = I - tau(i)*v*v^T`, and v is stored as row i of the input matrix A.
*
* - On exit, A contains the M-by-N matrix Q.
*
* @param {string} order - storage layout
* @param {NonNegativeInteger} M - number of rows of Q (0 <= M <= N)
* @param {NonNegativeInteger} N - number of columns of Q (N >= 0)
* @param {NonNegativeInteger} K - number of elementary reflectors (0 <= K <= M)
* @param {Float64Array} A - input/output matrix (LDA x N)
* @param {PositiveInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
* @param {Float64Array} TAU - scalar factors of reflectors (length K)
* @param {Float64Array} WORK - workspace (length >= M)
* @throws {TypeError} first argument must be a valid order
* @throws {RangeError} second argument must be smaller than N
* @throws {RangeError} fourth argument must be smaller than M
* @throws {RangeError} sixth argument must be smaller than or equal to max(1,M)
* @returns {integer} status code (0 = success)
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var A = new Float64Array( 12 );
* var TAU = new Float64Array( 2 );
* var WORK = new Float64Array( 3 );
*
* var info = dorgl2( 'row-major', 3, 4, 2, A, 3, TAU, WORK );
* // returns 0
* // A => <Float64Array>[ 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0 ]
* // WORK => <Float64Array>[ 0, 0, 0 ]
*/
function dorgl2( order, M, N, K, A, LDA, TAU, WORK ) {
var strideA1;
var strideA2;
if ( !isLayout( order ) ) {
throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
}
if ( M > N ) {
throw new RangeError( format( 'invalid argument. Second argument must be smaller than `N`. Value: `M`: `%s`, `N`: `%s`.', M, N ) );
}
if ( K > M ) {
throw new RangeError( format( 'invalid argument. Fourth argument must be smaller than `M`. Value: `M`: `%s`, `K`: `%s`.', M, K ) );
}
if ( isRowMajor( order ) && LDA < max( 1, M ) ) {
throw new RangeError( format( 'invalid argument. Sixth argument must be greater than or equal to max(1,%d). Value: `%d`.', M, LDA ) );
}
if ( isColumnMajor( order ) ) {
strideA1 = 1;
strideA2 = LDA;
} else { // order === 'row-major'
strideA1 = N;
strideA2 = 1;
}
return base( M, N, K, A, strideA1, strideA2, 0, TAU, 1, 0, WORK, 1, 0 );
}
// EXPORTS //
module.exports = dorgl2;
|