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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 | 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 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 67x 67x 67x 67x 67x 67x 67x 13x 13x 67x 13x 13x 67x 13x 13x 67x 3x 3x 67x 3x 3x 67x 3x 3x 67x 3x 3x 67x 3x 3x 67x 3x 3x 67x 3x 3x 67x 2x 2x 2x 2x 67x 5x 3x 5x 2x 2x 5x 5x 5x 5x 7x 67x 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.
*/
/* eslint-disable max-len, max-params */
'use strict';
// MODULES //
var isLayout = require( '@stdlib/blas/base/assert/is-layout' );
var format = require( '@stdlib/string/format' );
var isOperationSide = require( '@stdlib/blas/base/assert/is-operation-side' );
var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major-string' );
var isMatrixTranspose = require( '@stdlib/blas/base/assert/is-transpose-operation' );
var max = require( '@stdlib/math/base/special/fast/max' );
var base = require( './base.js' );
// MAIN //
/**
* Multiply a general matrix by the orthogonal matrix from a LQ factorization determined by `DGELQF`.
*
* ## Notes
*
* - `Q` is a real orthogonal matrix defined as the product of k elementary reflectors, Q = H(k) . . . H(2) H(1) as returned by `DGELQF`.
*
* - `Q` is of order `M` if SIDE = 'left' and of order `N` if SIDE = 'R'.
*
* - `DORML2` overwrites the general real `M` by `N` matrix `C` with,
*
* - `Q * C` if SIDE = 'left' and TRANS = 'no-transpose', or
* - `Q^T* C` if SIDE = 'left' and TRANS = 'transpose', or
* - `C * Q` if SIDE = 'right' and TRANS = 'no-transpose', or
* - `C * Q**T` if SIDE = 'right' and TRANS = 'transpose'.
*
* @param {string} order - storage layout
* @param {string} side - specifies the side of multiplication with `C`
* @param {string} trans - `'no-transpose'` for `Q`, `'transpose'` for `Q^T`
* @param {NonNegativeInteger} M - number of rows of `C`
* @param {NonNegativeInteger} N - number of columns of `C`
* @param {NonNegativeInteger} K - number of elementary reflectors
* @param {Float64Array} A - reflector vectors from `DGELQ2`
* @param {integer} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
* @param {Float64Array} TAU - scalar factors of reflectors
* @param {Float64Array} C - input/output matrix
* @param {integer} LDC - stride of the first dimension of `C` (a.k.a., leading dimension of the matrix `C`)
* @param {Float64Array} WORK - workspace array
* @throws {TypeError} first argument must be a valid order
* @throws {TypeError} second argument must be a valid side
* @throws {TypeError} third argument must be a valid transpose operation
* @throws {RangeError} fourth argument must be a non-negative integer
* @throws {RangeError} fifth argument must be a non-negative integer
* @throws {RangeError} sixth argument must be a non-negative integer]
* @throws {RangeError} sixth argument must be smaller than the order of `Q`
* @throws {RangeError} sixth argument must be smaller than the order of `Q`
* @throws {RangeError} eighth argument must be greater than or equal to max(1,K)
* @throws {RangeError} eleventh argument must be greater than or equal to max(1,M)
* @returns {integer} status code (0 if successful)
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var A = new Float64Array( [ 1, 0 ] );
* var TAU = new Float64Array( [ 2 ] );
* var C = new Float64Array( [ 1, 3, 5, 2, 4, 6 ] );
* var WORK = new Float64Array( 3 );
*
* var info = dorml2( 'row-major', 'left', 'no-transpose', 2, 3, 1, A, 1, TAU, C, 2, WORK );
* // returns 0
* // C => <Float64Array>[ -1, -3, -5, 2, 4, 6 ]
* // WORK => <Float64Array>[ 1, 3, 5 ]
*/
function dorml2( order, side, trans, M, N, K, A, LDA, TAU, C, LDC, WORK ) {
var sa1;
var sa2;
var sc1;
var sc2;
if ( !isLayout( order ) ) {
throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
}
if ( !isOperationSide( side ) ) {
throw new TypeError( format( 'invalid argument. Second argument must be a valid operation side. Value: `%s`.', side ) );
}
if ( !isMatrixTranspose( trans ) ) {
throw new TypeError( format( 'invalid argument. Third argument must be a valid transpose operation. Value: `%s`.', trans ) );
}
if ( M < 0 ) {
throw new RangeError( format( 'invalid argument. Fourth argument must be a nonnegative integer. Value: `%d`.', M ) );
}
if ( N < 0 ) {
throw new RangeError( format( 'invalid argument. Fifth argument must be a nonnegative integer. Value: `%d`.', N ) );
}
if ( K < 0 ) {
throw new RangeError( format( 'invalid argument. Sixth argument must be a nonnegative integer. Value: `%d`.', K ) );
}
if ( side === 'left' && K > M ) {
throw new RangeError( format( 'invalid argument. Sixth argument must be smaller than the order of `Q`. Value: `%d`.', K ) );
}
if ( side === 'right' && K > N ) {
throw new RangeError( format( 'invalid argument. Sixth argument must be smaller than the order of `Q`. Value: `%d`.', K ) );
}
if ( isRowMajor( order ) && LDA < max( 1, K ) ) {
throw new RangeError( format( 'invalid argument. Eighth argument must be greater than or equal to max(1,K). Value: `%d`.', LDA ) );
}
if ( isRowMajor( order ) && LDC < max( 1, M ) ) {
throw new RangeError( format( 'invalid argument. Eleventh argument must be greater than or equal to max(1,M). Value: `%d`.', LDC ) );
}
if ( order === 'column-major' ) {
sa1 = 1;
sa2 = LDA;
sc1 = 1;
sc2 = LDC;
} else {
if ( side === 'left' ) {
sa1 = M;
} else {
sa1 = N;
}
sa2 = 1;
sc1 = N;
sc2 = 1;
}
return base( side, trans, M, N, K, A, sa1, sa2, 0, TAU, 1, 0, C, sc1, sc2, 0, WORK, 1, 0 );
}
// EXPORTS //
module.exports = dorml2;
|