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function gbtest37
%GBTEST37 test istril, istriu, isbanded, isdiag, ishermitian, ...
% issymmetric, bandwith
% SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
% SPDX-License-Identifier: Apache-2.0
rng ('default') ;
nmax = 5 ;
for trial = 1:10
fprintf ('.') ;
for m = 1:nmax
for n = 1:nmax
A = sprand (m, n, 0.5) ;
skew = false ;
if (m == n)
if (mod (trial, 10) == 1)
% make A symmetric
A = A + A' ;
elseif (mod (trial, 10) == 2)
% make A skew symmetric
A = A - A' ;
skew = true ;
end
end
if (m == n)
C = A+A' ;
else
C = A*A' ;
end
if (~skew)
if (rand < 0.1)
A = logical (A) ;
C = logical (C) ;
end
end
L = tril (A) ;
U = triu (A) ;
D = diag (diag (A)) ;
GA = GrB (A) ;
GL = tril (GA) ;
GU = triu (GA) ;
GD = diag (diag (GA)) ;
if (m == n)
GC = GrB.prune (GA + GA') ;
else
GC = GrB.prune (GA * GA') ;
end
for fmt = 0:1
if (fmt == 1)
GA = GrB (GA, 'by row') ;
GL = GrB (GL, 'by row') ;
GU = GrB (GU, 'by row') ;
GD = GrB (GD, 'by row') ;
GC = GrB (GC, 'by row') ;
end
assert (gbtest_eq (A, GA)) ;
assert (gbtest_eq (L, GL)) ;
assert (gbtest_eq (U, GU)) ;
assert (gbtest_eq (D, GD)) ;
assert (gbtest_eq (C, GC)) ;
if (~islogical (A))
% built-in istril, istriu, and isdiag
% are not defined when A is logical.
assert (istril (A) == istril (GA)) ;
assert (istril (L) == istril (GL)) ;
assert (istril (U) == istril (GU)) ;
assert (istril (D) == istril (GD)) ;
assert (istril (C) == istril (GC)) ;
assert (istriu (A) == istriu (GA)) ;
assert (istriu (L) == istriu (GL)) ;
assert (istriu (U) == istriu (GU)) ;
assert (istriu (D) == istriu (GD)) ;
assert (istriu (C) == istriu (GC)) ;
assert (isdiag (A) == isdiag (GA)) ;
assert (isdiag (L) == isdiag (GL)) ;
assert (isdiag (U) == isdiag (GU)) ;
assert (isdiag (D) == isdiag (GD)) ;
assert (isdiag (C) == isdiag (GC)) ;
end
assert (ishermitian (A) == ishermitian (GA)) ;
assert (ishermitian (L) == ishermitian (GL)) ;
assert (ishermitian (U) == ishermitian (GU)) ;
assert (ishermitian (D) == ishermitian (GD)) ;
assert (ishermitian (C) == ishermitian (GC)) ;
assert (ishermitian (A, 'skew') == ishermitian (GA, 'skew')) ;
assert (issymmetric (A) == issymmetric (GA)) ;
assert (issymmetric (L) == issymmetric (GL)) ;
assert (issymmetric (U) == issymmetric (GU)) ;
assert (issymmetric (D) == issymmetric (GD)) ;
assert (issymmetric (C) == issymmetric (GC)) ;
assert (issymmetric (A, 'skew') == issymmetric (GA, 'skew')) ;
if (~islogical (A))
assert (isequal (bandwidth (A), bandwidth (GA))) ;
assert (isequal (bandwidth (L), bandwidth (GL))) ;
assert (isequal (bandwidth (U), bandwidth (GU))) ;
assert (isequal (bandwidth (D), bandwidth (GD))) ;
assert (isequal (bandwidth (C), bandwidth (GC))) ;
assert (bandwidth (A, 'lower') == bandwidth (GA, 'lower')) ;
assert (bandwidth (L, 'lower') == bandwidth (GL, 'lower')) ;
assert (bandwidth (U, 'lower') == bandwidth (GU, 'lower')) ;
assert (bandwidth (D, 'lower') == bandwidth (GD, 'lower')) ;
assert (bandwidth (C, 'lower') == bandwidth (GC, 'lower')) ;
assert (bandwidth (A, 'upper') == bandwidth (GA, 'upper')) ;
assert (bandwidth (L, 'upper') == bandwidth (GL, 'upper')) ;
assert (bandwidth (U, 'upper') == bandwidth (GU, 'upper')) ;
assert (bandwidth (D, 'upper') == bandwidth (GD, 'upper')) ;
assert (bandwidth (C, 'upper') == bandwidth (GC, 'upper')) ;
for lo = 0:nmax
for hi = 0:nmax
assert (isbanded (A, lo, hi) == ...
isbanded (GA, lo, hi)) ;
assert (isbanded (L, lo, hi) == ...
isbanded (GL, lo, hi)) ;
assert (isbanded (U, lo, hi) == ...
isbanded (GU, lo, hi)) ;
assert (isbanded (D, lo, hi) == ...
isbanded (GD, lo, hi)) ;
end
end
end
end
end
end
end
fprintf ('\ngbtest37: all tests passed\n') ;
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