All files dlasq3.js

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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 format = require( '@stdlib/string/format' );
var base = require( './base.js' );
 
 
// MAIN //
 
/**
* Checks for deflation, computes a shift (`TAU`) and calls DQDS. In case of failure it changes shifts, and tries again until output is positive.
*
* @param {integer} I0 - first index
* @param {integer} N0 - last index
* @param {Float64Array} Z - QD array
* @param {integer} PP - ping-pong flag (0 or 1)
* @param {boolean} IEEE - IEEE arithmetic flag
* @param {Float64Array} out - output array containing `DMIN`, `SIGMA`, `DESIG`, `QMAX`, `NFAIL`, `ITER`, `NDIV`, `TTYPE`, `DMIN1`, `DMIN2`, `DN`, `DN1`, `DN2`, `G` and `TAU`
* @throws {RangeError} first argument must be a nonnegative integer
* @returns {Float64Array} output array
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var out = new Float64Array( 15 );
* var Z = new Float64Array( [ 100, 4, 81, 3, 64, 2.5, 49, 2, 36, 1.5, 25, 1, 16, 0.5, 9, 0 ] );
*
* dlasq3( 0, 3, Z, 0, true, out );
* // Z => <Float64Array>[ 100.0, 181.0, 81.0, ~28.641, 64.0, ~84.359, 49.0, ~20.911, ~36.0, ~40.089, 25.0, ~9.978, 16.0, ~6.022, 9.0, ~28.641 ]
* // out => <Float64Array>[ ~6.022, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, -1.0, ~15.089, ~35.359, ~6.022, 15.089, 35.359, 0.0, 0.0 ]
*/
function dlasq3( I0, N0, Z, PP, IEEE, out ) {
	if ( I0 < 0 ) {
		throw new RangeError( format( 'invalid argument. First argument must be a nonnegative integer. Value: `%d`.', I0 ) );
	}
	return base( I0, N0, Z, 1, 0, PP, IEEE, out, 1, 0 );
}
 
 
// EXPORTS //
 
module.exports = dlasq3;