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function test90
%TEST90 test AxB with user-defined semirings: plus_rdiv and plus_rdiv2
% SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
% SPDX-License-Identifier: Apache-2.0
fprintf ('\n -------------- A*B plus_rdiv (user-defined semiring)\n') ;
GrB.burble (1) ;
% 1001: Gustavson
% 1003: dot
% 1004: hash
% 1005: saxpy
rng ('default') ;
for N = [10 100] % 1000]
% create the problem
A = sprand (4*N, 5*N, 0.01) ;
B = sprand (5*N, 3*N, 0.01) ;
[i j x] = find (A) ;
[m n] = size (A) ;
X = sparse (i, j, 1./x, m, n) ;
clear i j x
C1 = X*B ;
C2 = GB_mex_rdiv (A, B) ;
assert (norm (C1-C2,1) / norm (C1,1) < 1e-10) ;
for method = [1001 1003 1004 1005]
fprintf ('method: %d\n', method) ;
cprint = (N <= 10) ;
C2 = GB_mex_rdiv (A, B, method, cprint) ;
assert (norm (C1-C2,1) / norm (C1,1) < 1e-10) ;
end
% try rdiv2, which typecasts B to single precision first
C3 = GB_mex_rdiv2 (A, B) ;
assert (norm (C1-C3,1) / norm (C1,1) < 1e-5) ;
[i j x] = find (B) ;
[m n] = size (B) ;
Y = sparse (i, j, 1./x, m, n) ;
C4 = A*Y ;
% try rdiv2, with flipxy, which inverts A instead of B
C5 = GB_mex_rdiv2 (A, B, false, false, 0, 1) ;
assert (norm (C4-C5,1) / norm (C4,1) < 1e-5) ;
%--------------------------------------------------------------------------
% fprintf ('\nextensive tests:\n') ;
A = sprand (n, n, 0.01) ;
B = sprand (n, n, 0.01) ;
[i j x] = find (A) ;
X = sparse (i, j, 1./x, n, n) ;
[i j x] = find (B) ;
Y = sparse (i, j, 1./x, n, n) ;
flipxy = 0 ;
at = 0 ;
bt = 0 ;
C0 = X*B ;
for method = [1001 1003 1004 1005]
fprintf ('method: %d\n', method) ;
C5 = GB_mex_rdiv2 (A, B, at, bt, method, flipxy) ;
assert (norm (C0-C5,1) / norm (C5,1) < 1e-5) ;
end
flipxy = 0 ;
at = 1 ;
bt = 0 ;
C0 = X'*B ;
for method = [1001 1003 1004 1005]
fprintf ('method: %d\n', method) ;
C5 = GB_mex_rdiv2 (A, B, at, bt, method, flipxy) ;
assert (norm (C0-C5,1) / norm (C5,1) < 1e-5) ;
end
flipxy = 0 ;
at = 0 ;
bt = 1 ;
C0 = X*B' ;
for method = [1001 1003 1004 1005]
fprintf ('method: %d\n', method) ;
C5 = GB_mex_rdiv2 (A, B, at, bt, method, flipxy) ;
assert (norm (C0-C5,1) / norm (C5,1) < 1e-5) ;
end
flipxy = 0 ;
at = 1 ;
bt = 1 ;
C0 = X'*B' ;
for method = [1001 1003 1004 1005]
fprintf ('method: %d\n', method) ;
C5 = GB_mex_rdiv2 (A, B, at, bt, method, flipxy) ;
assert (norm (C0-C5,1) / norm (C5,1) < 1e-5) ;
end
flipxy = 1 ;
at = 0 ;
bt = 0 ;
C0 = A*Y ;
for method = [1001 1003 1004 1005]
fprintf ('method: %d\n', method) ;
C5 = GB_mex_rdiv2 (A, B, at, bt, method, flipxy) ;
assert (norm (C0-C5,1) / norm (C5,1) < 1e-5) ;
end
flipxy = 1 ;
at = 1 ;
bt = 0 ;
C0 = A'*Y ;
for method = [1001 1003 1004 1005]
fprintf ('method %d\n', method) ;
C5 = GB_mex_rdiv2 (A, B, at, bt, method, flipxy) ;
assert (norm (C0-C5,1) / norm (C5,1) < 1e-5) ;
end
flipxy = 1 ;
at = 0 ;
bt = 1 ;
C0 = A*Y' ;
for method = [1001 1003 1004 1005]
fprintf ('method %d\n', method) ;
C5 = GB_mex_rdiv2 (A, B, at, bt, method, flipxy) ;
assert (norm (C0-C5,1) / norm (C5,1) < 1e-5) ;
end
flipxy = 1 ;
at = 1 ;
bt = 1 ;
C0 = A'*Y' ;
for method = [1001 1003 1004 1005]
fprintf ('method %d\n', method) ;
C5 = GB_mex_rdiv2 (A, B, at, bt, method, flipxy) ;
assert (norm (C0-C5,1) / norm (C5,1) < 1e-5) ;
end
end
GrB.burble (0) ;
fprintf ('\ntest90: all tests passed\n') ;
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