function [x1,x2,e1,e2] = testsolve (A,b) %TESTSOLVE test CHOLMOD and compare with x=A\b % [x1,x2,e1,e2] = testsolve (A,b) ; % Compare CHOLMOD and MATLAB's x=A\b % x1 = A\b, x2 = cholmod2(A,b), e1 = norm(A*x1-b), e2 = norm(A*x2-b) % Example: % [x1,x2,e1,e2] = testsolve (A,b) ; % See also cholmod_test % Copyright 2006-2023, Timothy A. Davis, All Rights Reserved. % SPDX-License-Identifier: GPL-2.0+ fprintf ('A: [n %6d real %d] B: [sp:%d nrhs %d real %d] ', ... size(A,1), isreal(A), issparse(b), size(b,2), isreal(b)) ; % fprintf ('\n') ; % A % b tic x1 = A\b ; t1 = toc ; tic x2 = cholmod2(A,b) ; t2 = toc ; % x2 tic e1 = norm (A*x1-b,1) ; t3 = toc ; e2 = norm (A*x2-b,1) ; if (e2 == 0 | e1 == 0) %#ok e12 = 0 ; else e12 = log2 (e1/e2) ; end if (t2 == 0) t12 = 1 ; else t12 = t1 / t2 ; end if (t2 == 0) t32 = 1 ; %#ok else t32 = t3 / t2 ; %#ok end fprintf (' [e1: %5.0e : %5.1f] [t1: %8.2f t2 %8.2f : %5.1f]\n', ... e1, e12, t1, t2, t12) ; if (e2 > max (1e-8, 1e3*e1)) error ('!') ; end