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function test06 (A,B,fulltests,method_list)
%TEST06 test GrB_mxm on all semirings
%
% Usage: test06(A)
% test06(A,B)
% test06(A,B,fulltests)
%
% with no input, a small 10-by-10 matrix is used. If A is a scalar, it is a
% matrix id number from the SuiteSparse collection otherwise A is the sparse
% matrix to use in the test
% SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
% SPDX-License-Identifier: Apache-2.0
fprintf ('test06: GrB_mxm on all semirings\n') ;
[binops, ~, add_ops, types, ~, ~] = GB_spec_opsall ;
% mult_ops = binops.positional ;
mult_ops = binops.all ;
types = types.all ;
if (nargin < 3)
fprintf ('\n-------------- GrB_mxm on all semirings\n') ;
fulltests = 1 ;
end
if (nargin < 2)
B = [ ] ;
end
if (nargin < 4)
method_list = 0:3 ;
end
rng ('default') ;
if (isscalar (A))
Prob = ssget (A)
A = Prob.A ;
clear Prob
A (1,2) = 1 ;
if (isempty (B))
B = 2*A ;
% n = size (A,2) ;
% p = randperm (n) ;
% B = sparse (1:n, p, ones (n,1)) ;
% p = randperm (n) ;
% B = B + sparse (1:n, p, ones (n,1)) ;
% p = randperm (n) ;
% B = B + sparse (1:n, p, ones (n,1)) ;
% e = ones (n,1) ;
% % B = spdiags([e -2*e e], -1:1, n, n) ;
% % B = spdiags([-2*e e], 0:1, n, n) ;
% % B = speye(n);
% T = A ; A = B ; B = T ;
end
end
assert (issparse (A)) ;
[m n] = size (A) ;
Cin = sparse (m, n) ;
assert (m == n) ;
rng ('default') ;
[i, j, ~] = find (A) ;
nz = nnz (A) ;
p = randperm (nz, floor (nz/2)) ;
Mask = sparse (i (p), j (p), ones (length (p),1), m, n) + ...
spones (sprandn (m, n, 1/n)) ;
tic
C = A*B ;
tm1 = toc ;
% Mask = spones (A) ;
% Mask = sparse (i (p), j (p), ones (length (p),1), m, n) ;
tic
C = A'*B ;
tm2 = toc ;
tic
C = A*B' ;
tm3 = toc ;
tic
C = A'*B' ;
tm5 = toc ;
if (n > 500)
fprintf ('built-in time: %g %g %g %g\n', tm1, tm2, tm3, tm5) ;
fprintf ('with mask:\n') ;
end
tic
C = (A*B) .* Mask ;
tmm1 = toc ;
tic
C = (A'*B) .* Mask ;
tmm2 = toc ;
tic
C = (A*B') .* Mask ;
tmm3 = toc ;
tic
C = (A'*B') .* Mask ;
tmm5 = toc ;
if (n > 500)
fprintf ('built-in time: %g %g %g %g\n', tmm1, tmm2, tmm3, tmm5) ;
end
dnn = struct ;
dtn = struct ( 'inp0', 'tran' ) ;
dnt = struct ( 'inp1', 'tran' ) ;
dtt = struct ( 'inp0', 'tran', 'inp1', 'tran' ) ;
n_semirings = 0 ;
if (fulltests)
k1_list = 1:length (mult_ops) ;
k2_list = 1:length (add_ops) ;
k3_list = 1:length (types) ;
else
% just use plus-times-double semiring
k1_list = 4 ;
k2_list = 3 ;
k3_list = 11 ;
end
n = size (A,1) ;
for k1 = k1_list % 1:length(mult_ops)
mulop = mult_ops {k1} ;
if (n <= 500)
fprintf ('\n%s', mulop) ;
end
for k2 = k2_list % 1:length(add_ops)
addop = add_ops {k2} ;
for k3 = k3_list % 1:length (types)
semiring_type = types {k3} ;
if (n <= 500)
fprintf ('.') ;
end
semiring.multiply = mulop ;
semiring.add = addop ;
semiring.class = semiring_type ;
% create the semiring. some are not valid because the or,and,xor,eq
% monoids can only be used when z is boolean for z=mult(x,y).
try
[mult_op add_op id] = GB_spec_semiring (semiring) ;
[mult_opname mult_optype ztype xtype ytype] = ...
GB_spec_operator (mult_op) ;
[ add_opname add_optype] = GB_spec_operator (add_op) ;
identity = GB_spec_identity (semiring.add, add_optype) ;
catch me
if (~isempty (strfind (me.message, 'gotcha')))
semiring
end
continue
end
n_semirings = n_semirings + 1 ;
for method = method_list % 0:3
if (n > 500)
fprintf ('%3d ', n_semirings) ;
fprintf ('[%6s %6s %8s] : ', mulop, addop, semiring_type) ;
end
if (method == 1)
algo = 'hash' ;
if (n > 500)
fprintf ('hash ') ;
end
elseif (method == 2)
algo = 'gustavson' ;
if (n > 500)
fprintf ('g/s ') ;
end
elseif (method == 3)
algo = 'dot' ;
if (n > 500)
fprintf ('dot ') ;
end
else
algo = 'default' ;
if (n > 500)
fprintf ('auto ') ;
end
end
if (isequal (algo, 'dot'))
ok = (n < 1000) ;
else
ok = true ;
end
dnn.axb = algo ;
dnt.axb = algo ;
dtn.axb = algo ;
dtt.axb = algo ;
t1 = nan ;
t2 = nan ;
t3 = nan ;
t4 = nan ;
% C = A*B, no mask
% tic
if (ok)
tic
C1 = GB_mex_mxm (Cin, [ ], [ ], semiring, A, B, dnn) ;
t1 = toc ;
if (n < 200)
C2 = GB_spec_mxm (Cin, [ ], [ ], semiring, A, B, dnn);
GB_spec_compare (C1, C2, id) ;
end
end
% C = A'*B, no mask
if (ok)
tic
C1 = GB_mex_mxm (Cin, [ ], [ ], semiring, A, B, dtn);
t2 = toc ;
if (n < 200)
C2 = GB_spec_mxm (Cin, [ ], [ ], semiring, A, B, dtn);
GB_spec_compare (C1, C2, id) ;
end
end
% C = A*B', no mask
if (ok)
tic
C1 = GB_mex_mxm (Cin, [ ], [ ], semiring, A, B, dnt);
t3 = toc ;
if (n < 200)
C2 = GB_spec_mxm (Cin, [ ], [ ], semiring, A, B, dnt);
GB_spec_compare (C1, C2, id) ;
end
end
% C = A'*B', no mask
if (ok)
tic
C1 = GB_mex_mxm (Cin, [ ], [ ], semiring, A, B, dtt);
t4 = toc ;
if (n < 200)
C2 = GB_spec_mxm (Cin, [ ], [ ], semiring, A, B, dtt);
GB_spec_compare (C1, C2, id) ;
end
end
if (n > 500)
fprintf (...
'speedups %10.4f(%s) %10.4f(%s) %10.4f(%s) %10.4f(%s) ', ...
tm1/t1, tm2/t2, tm3/t3, tm5/t4 ) ;
end
% C = A*B, with mask
tic
C1 = GB_mex_mxm (Cin, Mask, [ ], semiring, A, B, dnn);
t1 = toc ;
if (n < 200)
C2 = GB_spec_mxm (Cin, Mask, [ ], semiring, A, B, dnn);
GB_spec_compare (C1, C2, id) ;
end
% C = A'*B, with mask
tic
C1 = GB_mex_mxm (Cin, Mask, [ ], semiring, A, B, dtn);
t2 = toc ;
if (n < 200)
C2 = GB_spec_mxm (Cin, Mask, [ ], semiring, A, B, dtn);
GB_spec_compare (C1, C2, id) ;
end
% C = A*B', with mask
tic
C1 = GB_mex_mxm (Cin, Mask, [ ], semiring, A, B, dnt);
t3 = toc ;
if (n < 200)
C2 = GB_spec_mxm (Cin, Mask, [ ], semiring, A, B, dnt);
GB_spec_compare (C1, C2, id) ;
end
% C = A'*B', with mask
tic
C1 = GB_mex_mxm (Cin, Mask, [ ], semiring, A, B, dtt);
t4 = toc ;
if (n < 200)
C2 = GB_spec_mxm (Cin, Mask, [ ], semiring, A, B, dtt);
GB_spec_compare (C1, C2, id) ;
end
if (n > 500)
fprintf (...
'speedups %10.4f(%s) %10.4f(%s) %10.4f(%s) %10.4f(%s) ', ...
tmm1/t1, tmm2/t2, tmm3/t3, tmm5/t4) ;
fprintf ('\n') ;
end
end
end
end
end
% n_semirings
if (fulltests)
fprintf ('\ntest06: all tests passed\n') ;
end
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