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function test74
%TEST74 test GrB_mxm: all built-in semirings
% SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
% SPDX-License-Identifier: Apache-2.0
[binops, ~, add_ops, types, ~, ~] = GB_spec_opsall ;
mult_ops = binops.all ;
types = types.all ;
fprintf ('test74 -------- GrB_mxm on all semirings (all methods)\n') ;
dnn = struct ;
dtn = struct ( 'inp0', 'tran' ) ;
dnt = struct ( 'inp1', 'tran' ) ;
dtt = struct ( 'inp0', 'tran', 'inp1', 'tran' ) ;
dnn_Gus = struct ( 'axb', 'gustavson' ) ;
dnn_hash = struct ( 'axb', 'hash' ) ;
ntrials = 0 ;
rng ('default') ;
GB_builtin_complex_set (true) ;
m_list = [ 1 2 9 ] ;
n_list = [ 1 2 10 ] ;
k_list = [ 20 100 12 ] ;
d_list = [0.3 0.3 0.3 ] ;
for k0 = 1:size(m_list,2)
m = m_list (k0) ;
n = n_list (k0) ;
k = k_list (k0) ;
density = d_list (k0) ;
n_semirings = 0 ;
A = GB_spec_random (m,k,density,100,'none') ;
B = GB_spec_random (k,n,density,100,'none') ;
C = GB_spec_random (m,n,density,100,'none') ;
M = spones (sprandn (m, n, 0.3)) ;
F = GB_spec_random (m,n,inf,100,'none') ;
F.sparsity = 8 ;
A_bitmap = A ; A_bitmap.sparsity = 4 ;
B_bitmap = B ; B_bitmap.sparsity = 4 ;
Bfull = GB_spec_random (k,n,inf,2,'none') ;
Bfull.sparsity = 8 ;
Afull = GB_spec_random (m,k,inf,2,'none') ;
Afull.sparsity = 8 ;
clear AT
AT = A ;
AT.matrix = A.matrix.' ;
AT.pattern = A.pattern' ;
fprintf ('\nm %d n %d k %d: \n', m, n, k) ;
for k2 = 1:length(add_ops)
addop = add_ops {k2} ;
for k4 = 1:length (types)
monoid.opname = addop ;
monoid.optype = types {k4} ;
try
identity = GB_spec_identity (monoid) ;
catch
continue ;
end
fprintf ('\n%-14s: ', [monoid.opname '.' monoid.optype]) ;
for k1 = 1:length(mult_ops)
mulop = mult_ops {k1} ;
for k3 = 1:length (types)
semiring_type = types {k3} ;
semiring.multiply = mulop ;
semiring.add = monoid ;
semiring.class = semiring_type ;
% create the semiring. some are not valid because the
% or,and,xor 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) ;
catch me
continue
end
n_semirings = n_semirings + 1 ;
fprintf ('.') ;
% if (test_contains (mulop, 'firsti'))
% fprintf ('[%s.%s.%s]', addop, mulop, semiring_type) ;
% end
AT.class = semiring_type ;
A.class = semiring_type ;
B.class = semiring_type ;
C.class = monoid.optype ;
A_bitmap.class = semiring_type ;
B_bitmap.class = semiring_type ;
F.class = monoid.optype ;
Afull.class = semiring_type ;
Bfull.class = semiring_type ;
% C<M> = A'*B, with Mask, no typecasting
C1 = GB_mex_mxm (C, M, [ ], semiring, AT, B, dtn) ;
C0 = GB_spec_mxm (C, M, [ ], semiring, AT, B, dtn) ;
GB_spec_compare (C0, C1, identity) ;
% C = A'*B, no Mask, no typecasting
C1 = GB_mex_mxm (C, [ ], [ ], semiring, AT, B, dtn) ;
C0 = GB_spec_mxm (C, [ ], [ ], semiring, AT, B, dtn) ;
GB_spec_compare (C0, C1, identity) ;
% C = A*B, no Mask, no typecasting, Gustavson
C1 = GB_mex_mxm (C, [ ], [ ], semiring, A, B, dnn_Gus) ;
GB_spec_compare (C0, C1, identity) ;
% C = A*B, no Mask, no typecasting, Hash
C1 = GB_mex_mxm (C, [ ], [ ], semiring, A, B, dnn_hash) ;
GB_spec_compare (C0, C1, identity) ;
% C = A_bitmap * B
C1 = GB_mex_mxm (C, [ ], [ ], semiring, A_bitmap, B, [ ]) ;
GB_spec_compare (C0, C1, identity) ;
% C = A * B_bitmap
C1 = GB_mex_mxm (C, [ ], [ ], semiring, A, B_bitmap, [ ]) ;
GB_spec_compare (C0, C1, identity) ;
% C = A_bitmap * B_bitmap
C1 = GB_mex_mxm (C, [ ], [ ], semiring, A_bitmap, B_bitmap,[]);
GB_spec_compare (C0, C1, identity) ;
% F += A * B_bitmap
C1 = GB_mex_mxm (F, [ ], monoid, semiring, A, B_bitmap, [ ]) ;
C0 = GB_spec_mxm (F, [ ], monoid, semiring, A, B, [ ]) ;
GB_spec_compare (C0, C1, identity) ;
if (isequal (monoid.opname, 'times'))
F2 = F ;
F2.matrix = F2.matrix / max (F2.matrix, [ ], 'all') ;
A2 = A ;
A2.matrix = A2.matrix / max (A2.matrix, [ ], 'all') ;
B2 = B ;
B2.matrix = B2.matrix / max (B2.matrix, [ ], 'all') ;
A3 = Afull ;
A3.matrix = A3.matrix / max (A3.matrix, [ ], 'all') ;
B3 = Bfull ;
B3.matrix = B3.matrix / max (B3.matrix, [ ], 'all') ;
% F2 += A * B
C1 = GB_mex_mxm_update (F2, semiring, A2, B2, [ ]) ;
C0 = GB_spec_mxm (F2, [ ], monoid, semiring, A2, B2, [ ]) ;
GB_spec_compare (C0, C1, identity) ;
% F2 += A3 * B
C1 = GB_mex_mxm_update (F2, semiring, A3, B2, [ ]) ;
C0 = GB_spec_mxm (F2, [ ], monoid, semiring, A3, B2, [ ]) ;
GB_spec_compare (C0, C1, identity) ;
% F2 += A2 * B3
C1 = GB_mex_mxm_update (F2, semiring, A2, B3, [ ]) ;
C0 = GB_spec_mxm (F2, [ ], monoid, semiring, A2, B3, [ ]) ;
GB_spec_compare (C0, C1, identity) ;
else
% F += A * B
C1 = GB_mex_mxm_update (F, semiring, A, B, [ ]) ;
C0 = GB_spec_mxm (F, [ ], monoid, semiring, A, B, [ ]) ;
GB_spec_compare (C0, C1, identity) ;
% F += Afull * B
C1 = GB_mex_mxm_update (F, semiring, Afull, B, [ ]) ;
C0 = GB_spec_mxm (F, [ ], monoid, semiring, Afull, B, [ ]) ;
GB_spec_compare (C0, C1, identity) ;
% F += A * Bfull
C1 = GB_mex_mxm_update (F, semiring, A, Bfull, [ ]) ;
C0 = GB_spec_mxm (F, [ ], monoid, semiring, A, Bfull, [ ]) ;
GB_spec_compare (C0, C1, identity) ;
% F += A_iso_full * B
Afull.iso = true ;
C1 = GB_mex_mxm_update (F, semiring, Afull, B, [ ]) ;
C0 = GB_spec_mxm (F, [ ], monoid, semiring, Afull, B, [ ]) ;
GB_spec_compare (C0, C1, identity) ;
Afull.iso = false ;
% F += A_iso_bitmap * B
% A_bitmap.iso = true ;
C1 = GB_mex_mxm_update (F, semiring, A_bitmap, B, [ ]) ;
C0 = GB_spec_mxm (F, [ ], monoid, semiring, A_bitmap, B, [ ]) ;
GB_spec_compare (C0, C1, identity) ;
% A_bitmap.iso = false ;
end
end
end
end
end
end
fprintf ('\nsemirings tested: %d\n', n_semirings) ;
fprintf ('\ntest74: all tests passed\n') ;
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