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%NN Compare nesdis with metis, in both quality and run time
%
% Example:
% nn
% See also cholmod_test
% Copyright 2007, Timothy A. Davis, http://www.suitesparse.com
index = ssget ;
f = find (index.amd_lnz > 0) ;
[ignore i] = sort (index.amd_lnz (f)) ;
f = f (i) ;
nmat = length (f) ;
T1 = zeros (1,nmat) ;
T2 = zeros (1,nmat) ;
TM = zeros (1,nmat) ;
Lnz1 = zeros (1,nmat) ;
Lnz2 = zeros (1,nmat) ;
LnzM = zeros (1,nmat) ;
Fl1 = zeros (1,nmat) ;
Fl2 = zeros (1,nmat) ;
FlM = zeros (1,nmat) ;
for k = 1:nmat
i = f (k) ;
Prob = ssget (i,index) ;
A = Prob.A ;
[m n] = size (A) ;
if (m ~= n)
continue ;
end
fprintf ('%35s: ', Prob.name) ;
if (m == n)
mode = 'sym' ;
A = A + A' ;
len = n ;
elseif (m < n)
mode = 'row' ;
len = m ;
else
mode = 'col' ;
len = n ;
end
fprintf (' %s ', mode) ;
% try nesdis using camd, and splitting connected components
tic
[p2 cparent2 cmember2] = nesdis (A, mode, [200 1]) ;
t2 = toc ;
% subplot (3,3,7) ; treeplot (cparent2) ;
% try nesdis using camd
tic
[p1 cparent1 cmember1] = nesdis (A, mode) ;
t1 = toc ;
% subplot (3,3,8) ; treeplot (cparent1) ;
% try metis
tic
pm = metis (A, mode) ;
tm = toc ;
if (any (sort (p1) ~= 1:len))
error ('p1!') ;
end
if (any (sort (p2) ~= 1:len))
error ('p2!') ;
end
% compare ordering quality
if (m == n)
c2 = symbfact2 (A (p2,p2), mode) ; fl2 = sum (c2.^2) ; c2 = sum (c2) ;
c1 = symbfact2 (A (p1,p1), mode) ; fl1 = sum (c1.^2) ; c1 = sum (c1) ;
cm = symbfact2 (A (pm,pm), mode) ; flm = sum (cm.^2) ; cm = sum (cm) ;
elseif (m < n)
c2 = symbfact2 (A (p2, :), mode) ; fl2 = sum (c2.^2) ; c2 = sum (c2) ;
c1 = symbfact2 (A (p1, :), mode) ; fl1 = sum (c1.^2) ; c1 = sum (c1) ;
cm = symbfact2 (A (pm, :), mode) ; flm = sum (cm.^2) ; cm = sum (cm) ;
else
c2 = symbfact2 (A ( :,p2), mode) ; fl2 = sum (c2.^2) ; c2 = sum (c2) ;
c1 = symbfact2 (A ( :,p1), mode) ; fl1 = sum (c1.^2) ; c1 = sum (c1) ;
cm = symbfact2 (A ( :,pm), mode) ; flm = sum (cm.^2) ; cm = sum (cm) ;
end
T1 (k) = t1 ;
T2 (k) = t2 ;
TM (k) = tm ;
Lnz1 (k) = c1 ;
Lnz2 (k) = c2 ;
LnzM (k) = cm ;
Fl1 (k) = fl1 ;
Fl2 (k) = fl2 ;
FlM (k) = flm ;
tmax = max ([max(T1 (1:k)) max(T2 (1:k)) max(TM (1:k))]) ;
tmin = min ([min(T1 (1:k)) min(T2 (1:k)) min(TM (1:k))]) ;
cmax = max ([max(Lnz1 (1:k)) max(Lnz2 (1:k)) max(LnzM (1:k))]) ;
flmax =max ([max(Fl1 (1:k)) max(Fl2 (1:k)) max(FlM (1:k))]) ;
fprintf (...
'time %8.2f %8.2f %8.2f speedup %8.2f flop %8.2e %8.2e %8.2e ratio %8.2f\n', ...
t2, t1, tm, tm/t1, fl2, fl1, flm, flm/fl1) ;
if (mod (k, 20) ~= 0)
continue
end
subplot (3,3,1) ;
x = T1 (1:k) ./ T2 (1:k) ;
semilogy (1:k, x, 'o', [1 k], [1 1], 'r-') ;
axis tight
title (sprintf ('(nesdis default)/(with split) time, median: %g', ...
median (x))) ;
subplot (3,3,2) ;
x = (Lnz1 (1:k) ./ Lnz2 (1:k)) ;
semilogy (1:k, x, 'o', [1 k], [1 1], 'r-') ;
axis tight
title (sprintf ('(nesdis default)/(with split) lnz, median: %g', ...
median (x))) ;
subplot (3,3,3) ;
x = (Fl1 (1:k) ./ Fl2 (1:k)) ;
semilogy (1:k, x, 'o', [1 k], [1 1], 'r-') ;
axis tight
title (sprintf ('(nesdis default)/(with split) flops, median: %g', ...
median (x))) ;
subplot (3,3,4) ;
x = T1 (1:k) ./ TM (1:k) ;
semilogy (1:k, x, 'o', [1 k], [1 1], 'r-') ;
axis tight
title (sprintf ('(nesdis default)/metis time, median %g', median (x))) ;
subplot (3,3,5) ;
x = (Lnz1 (1:k) ./ LnzM (1:k)) ;
semilogy (1:k, x, 'o', [1 k], [1 1], 'r-') ;
axis tight
title (sprintf ('(nesdis default)/metis lnz, median: %g', median (x))) ;
subplot (3,3,6) ;
x = (Fl1 (1:k) ./ FlM (1:k)) ;
semilogy (1:k, x, 'o', [1 k], [1 1], 'r-') ;
axis tight
title (sprintf ('(nesdis default)/metis flops, median: %g', median (x))) ;
drawnow
% pause
end
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