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function test19
%TEST19 test cs_dmperm, cs_maxtransr, cs_dmspy, cs_scc, cspy
%
% Example:
% test19
% See also: testall
% Copyright 2006-2007, Timothy A. Davis.
% http://www.cise.ufl.edu/research/sparse
clear functions
randn ('state', 0) ;
rand ('state', 0) ;
clf
for trials = 1:100
m = fix (100 * rand (1)) ;
n = fix (100 * rand (1)) ;
% d = 0.1 * rand (1) ;
d = rand (1) * 4 * max (m,n) / max (m*n,1) ;
A = sprandn (m,n,d) ;
S = sprandn (m,m,d) + speye (m) ;
if (~ispc)
if (rand ( ) > .5)
A = A + 1i * sprand (A) ;
end
if (rand ( ) > .5)
S = S + 1i * sprand (S) ;
end
end
subplot (2,3,1) ;
cspy (A) ;
pp = dmperm (A) ;
sprnk = sum (pp > 0) ;
pp2 = cs_dmperm (A) ;
spr2 = sum (pp2 > 0) ;
if (spr2 ~= sprnk)
error ('!')
end
pp2 = cs_maxtransr (A) ;
spr2 = sum (pp2 > 0) ;
if (spr2 ~= sprnk)
error ('!')
end
[p,q,r,s] = dmperm (A) ;
C = A (p,q) ;
% r
% s
nk = length (r) - 1 ;
fprintf ('sprnk: %d m %d n %d nb: %d\n', sprnk, m, n, nk) ;
subplot (2,3,2) ;
hold off
spy (C)
hold on
for k = 1:nk
r1 = r(k) ;
r2 = r(k+1) ;
c1 = s(k) ;
c2 = s(k+1) ;
plot ([c1 c2 c2 c1 c1]-.5, [r1 r1 r2 r2 r1]-.5, 'g') ;
end
[p2,q2,rr2,ss2,cp,rp] = cs_dmperm (A) ;
if (min (m,n) > 0)
if (length (rr2) ~= length (r))
error ('# fine blocks!') ;
end
end
if (rp (4) - 1 ~= sprnk)
rp %#ok
sprnk %#ok
error ('!') ;
end
if (any (sort (p2) ~= 1:m))
error ('p2!') ;
end
if (any (sort (q2) ~= 1:n))
error ('q2!') ;
end
if (cp (5) ~= n+1)
error ('cp!') ;
end
if (rp (5) ~= m+1)
error ('rp!') ;
end
C = A (p2,q2) ;
subplot (2,3,3) ; cs_dmspy (A,0) ;
% hold off
% spy (C) ;
% hold on
% r1 = rp(1) ;
% r2 = rp(2) ;
% c1 = cp(1) ;
% c2 = cp(2) ;
% plot ([c1 c2 c2 c1 c1]-.5, [r1 r1 r2 r2 r1]-.5, 'g') ;
r1 = rp(1) ;
r2 = rp(2) ;
c1 = cp(2) ;
c2 = cp(3) ;
% plot ([c1 c2 c2 c1 c1]-.5, [r1 r1 r2 r2 r1]-.5, 'g') ;
B = C (r1:r2-1, c1:c2-1) ;
if (nnz (diag (B)) ~= size (B,1))
error ('C1 diag!') ;
end
r1 = rp(2) ;
r2 = rp(3) ;
c1 = cp(3) ;
c2 = cp(4) ;
% plot ([c1 c2 c2 c1 c1]-.5, [r1 r1 r2 r2 r1]-.5, 'r') ;
B = C (r1:r2-1, c1:c2-1) ;
if (nnz (diag (B)) ~= size (B,1))
error ('C2 diag!') ;
end
r1 = rp(3) ;
r2 = rp(4) ;
c1 = cp(4) ;
c2 = cp(5) ;
% plot ([c1 c2 c2 c1 c1]-.5, [r1 r1 r2 r2 r1]-.5, 'g') ;
B = C (r1:r2-1, c1:c2-1) ;
if (nnz (diag (B)) ~= size (B,1))
error ('C3 diag!') ;
end
r1 = rp(4) ; %#ok
r2 = rp(5) ; %#ok
c1 = cp(4) ; %#ok
c2 = cp(5) ; %#ok
% plot ([c1 c2 c2 c1 c1]-.5, [r1 r1 r2 r2 r1]-.5, 'g') ;
if (~isempty (S))
[p1,q1,r0,s0] = dmperm (S) ;
[p3,r3] = cs_scc (S) ;
if (length (r3) ~= length (r0))
error ('scc size!') ;
end
if (any (sort (p3) ~= 1:m))
error ('scc perm!') ;
end
nk = length (r0)-1 ;
subplot (2,3,4) ;
hold off
spy (S (p1,q1)) ;
hold on
for k = 1:nk
r1 = r0(k) ;
r2 = r0(k+1) ;
c1 = s0(k) ;
c2 = s0(k+1) ;
plot ([c1 c2 c2 c1 c1]-.5, [r1 r1 r2 r2 r1]-.5, 'g') ;
end
subplot (2,3,5) ;
hold off
spy (S (p3,p3)) ;
hold on
for k = 1:nk
r1 = r3(k) ;
r2 = r3(k+1) ;
c1 = r3(k) ;
c2 = r3(k+1) ;
plot ([c1 c2 c2 c1 c1]-.5, [r1 r1 r2 r2 r1]-.5, 'g') ;
end
end
subplot (2,3,6) ;
cs_dmspy (A) ;
drawnow
% pause
end
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