function [ub,lb]=findPolynomialBounds(p,T) % % FUNCTION findPolynomialBounds % % Author: Rui Yao % % Copyright (C) 2021, UChicago Argonne, LLC. All rights reserved. % % OPEN SOURCE LICENSE % % Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: % % 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. % 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. % 3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. % % % ****************************************************************************************************** % DISCLAIMER % % THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED % WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A % PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY % DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, % PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER % CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR % OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. % *************************************************************************************************** % ub=p(:,end); lb=p(:,end); for c=1:size(p,2)-1 ub=ub*T; ub(ub<0)=0; ub=ub+p(:,end-c); lb=lb*T; lb(lb>0)=0; lb=lb+p(:,end-c); end end