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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.
*/
/* eslint-disable max-len, max-params */
'use strict';
// MODULES //
var base = require( './base.js' );
// MAIN //
/**
* Performs a single, small shift multiline QR sweep using alternative indexing semantics.
*
* @param {boolean} wantT - boolean value indicating whether the quasi triangular Schur factor is being computed
* @param {boolean} wantZ - boolean value indicating whether the orthogonal Schur factor is being computed
* @param {integer} kacc22 - integer value ranging from 0 to 2 (inclusive), specifies the computation mode for far-from-diagonal updates
* @param {integer} N - number of rows/columns in `H`
* @param {integer} KTOP - first row and column of the submatrix of `H` where the QR sweep will be applied
* @param {integer} KBOT - last row and column of the submatrix of `H` where the QR sweep will be applied
* @param {integer} nshifts - number of simultaneous shifts, must be even and positive
* @param {Float64Array} SR - real parts of the shifts of origin that define the QR sweep
* @param {integer} strideSR - stride length of `SR`
* @param {NonNegativeInteger} offsetSR - starting index for `SR`
* @param {Float64Array} SI - imaginary parts of the shifts of origin that define the QR sweep
* @param {integer} strideSI - stride length of `SI`
* @param {NonNegativeInteger} offsetSI - starting index of `SI`
* @param {Float64Array} H - input upper hessenberg matrix
* @param {integer} strideH1 - stride of the first dimension of `H`
* @param {integer} strideH2 - stride of the second dimension of `H`
* @param {NonNegativeInteger} offsetH - starting index of `H`
* @param {integer} iloZ - starting row from where the transformation must be applied if `wantZ` is true
* @param {integer} ihiZ - ending row from where the transformation must be applied if `wantZ` is true
* @param {Float64Array} Z - the QR sweep orthogonal similarity transformation is accumulated into `Z` between the rows and columns `iloZ` and `ihiZ` if `wantZ` is true, otherwise `Z` is not referenced
* @param {integer} strideZ1 - stride of the first dimension of `Z`
* @param {integer} strideZ2 - stride of the second dimension of `Z`
* @param {NonNegativeInteger} offsetZ - starting index of `Z`
* @param {Float64Array} V - householder vectors are stored column-wise, used in forming bulges for the multi shift QR algorithm
* @param {integer} strideV1 - stride of the first dimension of `V`
* @param {integer} strideV2 - stride of the second dimension of `V`
* @param {NonNegativeInteger} offsetV - starting index of `V`
* @param {Float64Array} U - used to hold the product of householder reflector that represent accumulated orthogonal transformations from the bulge-chasing process
* @param {integer} strideU1 - stride of the first dimension of `U`
* @param {integer} strideU2 - stride of the second dimension of `U`
* @param {NonNegativeInteger} offsetU - starting index of `U`
* @param {integer} NH - number of columns in `WH` available for workspace
* @param {Float64Array} WH - workspace array
* @param {integer} strideWH1 - stride of the first dimension of `WH`
* @param {integer} strideWH2 - stride of the second dimension of `WH`
* @param {NonNegativeInteger} offsetWH - starting index of `WH`
* @param {integer} NV - number of rows in `WV` available for workspace
* @param {Float64Array} WV - workspace array
* @param {integer} strideWV1 - stride of the first dimension of `WV`
* @param {integer} strideWV2 - stride of the second dimension of `WV`
* @param {NonNegativeInteger} offsetWV - starting index of `WV`
* @returns {void}
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var H = new Float64Array( [ 1.0, 1.0, 0.0, 0.0, 0.0, 2.0, 1.5, 0.0, 0.0, 0.0, 3, 2.0, 0.0, 0.0, 0.0, 4.0 ] );
* var Z = new Float64Array( [ 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0 ] );
* var V = new Float64Array( 6 );
* var U = new Float64Array( 10 );
* var WH = new Float64Array( 16 );
* var WV = new Float64Array( 16 );
* var SR = new Float64Array( [ 1.1, 2.2 ] );
* var SI = new Float64Array( [ 0.0, 0.0 ] );
*
* dlaqr5( true, true, 0, 4, 1, 4, 2, SR, 1, 0, SI, 1, 0, H, 4, 1, 0, 1, 4, Z, 4, 1, 0, V, 2, 1, 0, U, 2, 1, 0, 4, WH, 4, 1, 0, 4, WV, 4, 1, 0 );
* // H => <Float64Array>[ 1.0, 1.0, 0.0, 0.0, 0.0, 2.0, 1.5, 0.0, 0.0, 0.0, 3, 2.0, 0.0, 0.0, 0.0, 4.0 ]
* // Z => <Float64Array>[ 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0 ]
*/
function dlaqr5( wantT, wantZ, kacc22, N, KTOP, KBOT, nshifts, SR, strideSR, offsetSR, SI, strideSI, offsetSI, H, strideH1, strideH2, offsetH, iloZ, ihiZ, Z, strideZ1, strideZ2, offsetZ, V, strideV1, strideV2, offsetV, U, strideU1, strideU2, offsetU, NH, WH, strideWH1, strideWH2, offsetWH, NV, WV, strideWV1, strideWV2, offsetWV ) {
base( wantT, wantZ, kacc22, N, KTOP, KBOT, nshifts, SR, strideSR, offsetSR, SI, strideSI, offsetSI, H, strideH1, strideH2, offsetH, iloZ, ihiZ, Z, strideZ1, strideZ2, offsetZ, V, strideV1, strideV2, offsetV, U, strideU1, strideU2, offsetU, NH, WH, strideWH1, strideWH2, offsetWH, NV, WV, strideWV1, strideWV2, offsetWV );
}
// EXPORTS //
module.exports = dlaqr5;
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