1function C = mxm (arg1, arg2, arg3, arg4, arg5, arg6, arg7) 2%GRB.MXM sparse matrix-matrix multiplication. 3% 4% GrB.mxm computes C<M> = accum (C, A*B) using a given semiring. 5% 6% Usage: 7% 8% C = GrB.mxm (semiring, A, B) 9% C = GrB.mxm (semiring, A, B, desc) 10% 11% C = GrB.mxm (Cin, accum, semiring, A, B) 12% C = GrB.mxm (Cin, accum, semiring, A, B, desc) 13% 14% C = GrB.mxm (Cin, M, semiring, A, B) 15% C = GrB.mxm (Cin, M, semiring, A, B, desc) 16% 17% C = GrB.mxm (Cin, M, accum, semiring, A, B) 18% C = GrB.mxm (Cin, M, accum, semiring, A, B, desc) 19% 20% Cin is an optional input matrix. If Cin is not present or is an empty 21% matrix (Cin = [ ]) then it is implicitly a matrix with no entries, of the 22% right size (which depends on A, B, and the descriptor). Its type is the 23% output type of the accum operator, if it is present; otherwise, its type 24% is the type of the additive monoid of the semiring. 25% 26% M is the optional mask matrix. If not present, or if empty, then no mask 27% is used. If present, M must have the same size as C. 28% 29% If accum is not present, then the operation becomes C<...> = A*B. 30% Otherwise, accum (C,A*B) is computed. The accum operator acts like a 31% sparse matrix addition (see GrB.eadd). 32% 33% The semiring is a required string defining the semiring to use, in the 34% form 'add.mult.type', where '.type' is optional. For example, 35% '+.*.double' is the conventional semiring for numerical linear algebra, 36% used in MATLAB for C=A*B when A and B are double. If A or B are double 37% complex, then C=A*B uses the '+.*.double complex' semiring. GraphBLAS has 38% many more semirings. See 'help GrB.semiringinfo' for more details. 39% 40% A and B are the input matrices. A is transposed on input if desc.in0 41% is 'transpose', and/or desc.in1 = 'transpose' transposes B. 42% 43% desc is optional. See 'help GrB.descriptorinfo' for more details. 44% 45% Examples: 46% 47% A = sprand (4,5,0.5) ; 48% B = sprand (5,3,0.5) ; 49% C = GrB.mxm ('+.*', A, B) ; 50% norm (C-A*B,1) 51% E = sprand (4,3,0.7) ; 52% M = logical (sprand (4,3,0.5)) ; 53% C2 = GrB.mxm (E, M, '+', '+.*', A, B) ; 54% C3 = E ; AB = A*B ; C3 (M) = C3 (M) + AB (M) ; 55% norm (C2-C3,1) 56% 57% See also GrB.descriptorinfo, GrB.add, GrB/mtimes. 58 59% SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2021, All Rights Reserved. 60% SPDX-License-Identifier: GPL-3.0-or-later 61 62if (isobject (arg1)) 63 arg1 = arg1.opaque ; 64end 65 66if (isobject (arg2)) 67 arg2 = arg2.opaque ; 68end 69 70if (isobject (arg3)) 71 arg3 = arg3.opaque ; 72end 73 74if (nargin > 3 && isobject (arg4)) 75 arg4 = arg4.opaque ; 76end 77 78if (nargin > 4 && isobject (arg5)) 79 arg5 = arg5.opaque ; 80end 81 82if (nargin > 5 && isobject (arg6)) 83 arg6 = arg6.opaque ; 84end 85 86switch (nargin) 87 case 3 88 [C, k] = gbmxm (arg1, arg2, arg3) ; 89 case 4 90 [C, k] = gbmxm (arg1, arg2, arg3, arg4) ; 91 case 5 92 [C, k] = gbmxm (arg1, arg2, arg3, arg4, arg5) ; 93 case 6 94 [C, k] = gbmxm (arg1, arg2, arg3, arg4, arg5, arg6) ; 95 case 7 96 [C, k] = gbmxm (arg1, arg2, arg3, arg4, arg5, arg6, arg7) ; 97end 98 99if (k == 0) 100 C = GrB (C) ; 101end 102 103