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function test52
%TEST52 test AdotB vs AxB
% SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
% SPDX-License-Identifier: Apache-2.0
fprintf ('\n----------------------- AdotB versus AxB\n') ;
rng ('default')
x = sparse (rand (10,1)) ;
y = sparse (rand (10,1)) ;
c = x'*y ;
'AdotB'
C = GB_mex_AdotB (x, y)
'did AdotB'
c - C
assert (isequal (c, C))
x = sprandn (100, 1, 0.2) ;
y = sprandn (100, 1, 0.2) ;
c = x'*y ;
C = GB_mex_AdotB (x, y)
assert (isequal (c, C))
for m = 1:10
for n = 1:10
for k = [10 100 1000 10000]
A = sprandn (k, m, 0.2) ;
B = sprandn (k, n, 0.2) ;
Mask = sprand (m, n, 0.5) ;
C = A'*B ;
C2 = GB_mex_AdotB (A,B) ;
assert (isequal (C, C2)) ;
assert (GB_spok (C2) == 1)
C = spones (Mask) .* C ;
C2 = GB_mex_AdotB (A,B, Mask) ;
assert (isequal (C, C2)) ;
assert (GB_spok (C2) == 1)
end
end
end
relwork = [ ] ;
reltime = [ ] ;
k = 10e6 ;
fprintf ('\nbuilding random sparse matrices %d by M\n', k) ;
for m = [1 10 20:10:60 61:65 70:10:100]
fprintf ('\n') ;
for n = [1 10 20:10:60 61:65 70:10:100]
d = 0.001 ;
A = sprandn (k, m, d) ;
B = sprandn (k, n, d) ;
Mask = spones (sprandn (m, n, 0.5)) ;
% A (:,m) = sparse (rand (k,1)) ;
% B (:,m) = sparse (rand (k,1)) ;
cwork = m*n ;
awork = min (nnz(A) + k + m, nnz(B) + k + n) ;
relwork = [relwork cwork/awork] ;
tic
C = A'*B ;
t1 = toc ;
% fprintf ('GrB AdotB:\n') ;
tic
C2 = GB_mex_AdotB (A,B) ;
t2 = toc ;
% fprintf ('GrB A''*B native:\n') ;
tic
C4 = GB_mex_AxB (A,B, true) ;
t4 = toc ;
% fprintf ('GrB A''*B native:\n') ;
tic
C5 = GB_mex_AxB (A',B) ;
t5 = toc ;
reltime = [reltime t2/t5] ;
fprintf (...
'm %3d n %3d %10.2e builtin: %10.4f AdotB : %10.4f GB,auto:: %10.4f outer %10.4f', ...
m, n, cwork/awork, t1, t2, t4, t5) ;
% fprintf (' speedup: %10.4f (no Mask)\n', t2/t5) ;
fprintf (' rel: %10.4f ', t2/t5) ;
fprintf (' speedup: %10.4f\n', t1/t4) ;
assert (isequal (C, C2)) ;
assert (isequal (C, C4)) ;
assert (isequal (C, C5)) ;
%{
tic
C = Mask .* (A'*B) ;
t1 = toc ;
% fprintf ('GrB AdotB:\n') ;
tic
C2 = GB_mex_AdotB (A,B, Mask) ;
t2 = toc ;
% fprintf ('GrB A''*B native:\n') ;
tic
C4 = Mask .* GB_mex_AxB (A,B, true) ;
t4 = toc ;
% fprintf ('GrB A''*B native:\n') ;
tic
C5 = Mask .* GB_mex_AxB (A',B) ;
t5 = toc ;
fprintf (...
'm %2d builtin: %10.4f AdotB : %10.4f GB,auto:: %10.4f outer %10.4f', ...
m, t1, t2, t4, t5) ;
fprintf (' speedup: %10.4f (with Mask)\n', t1/t4) ;
assert (isequal (C, C2)) ;
assert (isequal (C, C4)) ;
%}
loglog (relwork, reltime, 'o') ;
drawnow
end
end
fprintf ('\ntest52: all tests passed\n') ;
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