1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
|
//------------------------------------------------------------------------------
// GB_enumify_mxm: enumerate a GrB_mxm problem
//------------------------------------------------------------------------------
// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2025, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0
//------------------------------------------------------------------------------
#include "GB.h"
#include "jitifyer/GB_stringify.h"
// dot3: C<M>=A'*B, no accum
// saxpy
// inplace C_in is full/bitmap
// C_in <M> += A*B monoid ztype doesn't cast (= accum->ytype)
// C_in <M> = A*B monoid ztype casts to C_in->type
// ...
// accum is not present. Kernels that use it would require accum to be
// the same as the monoid binary operator.
void GB_enumify_mxm // enumerate a GrB_mxm problem
(
// output: // future:: may need to become 2 x uint64
uint64_t *method_code, // unique encoding of the entire semiring
// input:
// C matrix:
bool C_iso, // C output iso: if true, semiring is ANY_PAIR_BOOL
bool C_in_iso, // C input iso status
int C_sparsity, // sparse, hyper, bitmap, or full
GrB_Type ctype, // C=((ctype) T) is the final typecast
bool Cp_is_32, // if true, C->p is 32-bit; else 64
bool Cj_is_32, // if true, C->h is 32-bit; else 64
bool Ci_is_32, // if true, C->i is 32-bit; else 64
// M matrix:
GrB_Matrix M, // may be NULL
bool Mask_struct, // mask is structural
bool Mask_comp, // mask is complemented
// semiring:
GrB_Semiring semiring, // the semiring to enumify
bool flipxy, // multiplier is: mult(a,b) or mult(b,a)
// A and B:
GrB_Matrix A,
GrB_Matrix B
)
{
//--------------------------------------------------------------------------
// get the semiring
//--------------------------------------------------------------------------
ASSERT_SEMIRING_OK (semiring, "semiring for enumify_mxm", GB0) ;
GrB_Monoid add = semiring->add ;
GrB_BinaryOp mult = semiring->multiply ;
GrB_BinaryOp addop = add->op ;
//--------------------------------------------------------------------------
// get the types
//--------------------------------------------------------------------------
GrB_Type atype = A->type ;
GrB_Type btype = B->type ;
GrB_Type mtype = (M == NULL) ? NULL : M->type ;
GrB_Type xtype = mult->xtype ;
GrB_Type ytype = mult->ytype ;
GrB_Type ztype = mult->ztype ;
GB_Opcode mult_opcode = mult->opcode ;
GB_Opcode add_opcode = addop->opcode ;
GB_Type_code xcode = xtype->code ;
GB_Type_code ycode = ytype->code ;
GB_Type_code zcode = ztype->code ;
// these must always be true for any semiring:
ASSERT (mult->ztype == addop->ztype) ;
ASSERT (addop->xtype == addop->ztype && addop->ytype == addop->ztype) ;
//--------------------------------------------------------------------------
// rename redundant boolean operators
//--------------------------------------------------------------------------
if (C_iso)
{
add_opcode = GB_ANY_binop_code ;
mult_opcode = GB_PAIR_binop_code ;
zcode = 0 ;
}
else if (zcode == GB_BOOL_code)
{
// rename the monoid
add_opcode = GB_boolean_rename (add_opcode) ;
}
if (xcode == GB_BOOL_code) // && (ycode == GB_BOOL_code)
{
// rename the multiplicative operator
mult_opcode = GB_boolean_rename (mult_opcode) ;
}
//--------------------------------------------------------------------------
// determine if A and/or B are value-agnostic
//--------------------------------------------------------------------------
// These 1st, 2nd, and pair operators are all handled by the flip, so if
// flipxy is still true, all of these booleans will be false.
bool op_is_first = (mult_opcode == GB_FIRST_binop_code ) ;
bool op_is_second = (mult_opcode == GB_SECOND_binop_code) ;
bool op_is_pair = (mult_opcode == GB_PAIR_binop_code) ;
bool op_is_positional = GB_IS_BUILTIN_BINOP_CODE_POSITIONAL (mult_opcode) ;
if (op_is_second || op_is_pair || op_is_positional || C_iso)
{
// x is not used
xcode = 0 ;
}
if (op_is_first || op_is_pair || op_is_positional || C_iso)
{
// y is not used
ycode = 0 ;
}
bool A_is_pattern = (xcode == 0) ;
bool B_is_pattern = (ycode == 0) ;
//--------------------------------------------------------------------------
// enumify the multiplier
//--------------------------------------------------------------------------
int mult_code = (mult_opcode - GB_USER_binop_code) & 0x3F ;
//--------------------------------------------------------------------------
// enumify the monoid
//--------------------------------------------------------------------------
ASSERT (add_opcode >= GB_USER_binop_code) ;
ASSERT (add_opcode <= GB_BXNOR_binop_code) ;
int add_code = (add_opcode - GB_USER_binop_code) & 0xF ;
//--------------------------------------------------------------------------
// enumify the types
//--------------------------------------------------------------------------
int acode = A_is_pattern ? 0 : atype->code ; // 0 to 14
int bcode = B_is_pattern ? 0 : btype->code ; // 0 to 14
int ccode = C_iso ? 0 : ctype->code ; // 0 to 14
int A_iso_code = (A_is_pattern || A->iso) ? 1 : 0 ;
int B_iso_code = (B_is_pattern || B->iso) ? 1 : 0 ;
int C_in_iso_cd = (C_in_iso) ? 1 : 0 ;
//--------------------------------------------------------------------------
// enumify the mask
//--------------------------------------------------------------------------
int mtype_code = (mtype == NULL) ? 0 : mtype->code ; // 0 to 14
int mask_ecode ;
GB_enumify_mask (&mask_ecode, mtype_code, Mask_struct, Mask_comp) ;
//--------------------------------------------------------------------------
// enumify the sparsity structures of C, M, A, and B
//--------------------------------------------------------------------------
int M_sparsity = (M == NULL) ? 0 : GB_sparsity (M) ;
int A_sparsity = GB_sparsity (A) ;
int B_sparsity = GB_sparsity (B) ;
int csparsity, msparsity, asparsity, bsparsity ;
GB_enumify_sparsity (&csparsity, C_sparsity) ;
GB_enumify_sparsity (&msparsity, M_sparsity) ;
GB_enumify_sparsity (&asparsity, A_sparsity) ;
GB_enumify_sparsity (&bsparsity, B_sparsity) ;
int cp_is_32 = (Cp_is_32) ? 1 : 0 ;
int cj_is_32 = (Cj_is_32) ? 1 : 0 ;
int ci_is_32 = (Ci_is_32) ? 1 : 0 ;
int mp_is_32 = (M == NULL) ? 0 : (M->p_is_32) ? 1 : 0 ;
int mj_is_32 = (M == NULL) ? 0 : (M->j_is_32) ? 1 : 0 ;
int mi_is_32 = (M == NULL) ? 0 : (M->i_is_32) ? 1 : 0 ;
int ap_is_32 = (A->p_is_32) ? 1 : 0 ;
int aj_is_32 = (A->j_is_32) ? 1 : 0 ;
int ai_is_32 = (A->i_is_32) ? 1 : 0 ;
int bp_is_32 = (B->p_is_32) ? 1 : 0 ;
int bj_is_32 = (B->j_is_32) ? 1 : 0 ;
int bi_is_32 = (B->i_is_32) ? 1 : 0 ;
//--------------------------------------------------------------------------
// construct the semiring method_code
//--------------------------------------------------------------------------
// total method_code bits: 62 (16 hex digits): 2 bits to spare.
(*method_code) =
// range bits
// C, M, A, B: 32/64 (12 bits) (3 hex digits)
GB_LSHIFT (cp_is_32 , 63) | // 0 or 1 1
GB_LSHIFT (cj_is_32 , 62) | // 0 or 1 1
GB_LSHIFT (ci_is_32 , 61) | // 0 or 1 1
GB_LSHIFT (mp_is_32 , 60) | // 0 or 1 1
GB_LSHIFT (mj_is_32 , 59) | // 0 or 1 1
GB_LSHIFT (mi_is_32 , 58) | // 0 or 1 1
GB_LSHIFT (ap_is_32 , 57) | // 0 or 1 1
GB_LSHIFT (aj_is_32 , 56) | // 0 or 1 1
GB_LSHIFT (ai_is_32 , 55) | // 0 or 1 1
GB_LSHIFT (bp_is_32 , 54) | // 0 or 1 1
GB_LSHIFT (bj_is_32 , 53) | // 0 or 1 1
GB_LSHIFT (bi_is_32 , 52) | // 0 or 1 1
// monoid (4 bits, 1 hex digit)
GB_LSHIFT (add_code , 48) | // 0 to 13 4
// C in, A, B iso properties, flipxy (1 hex digit)
GB_LSHIFT (C_in_iso_cd, 47) | // 0 or 1 1
GB_LSHIFT (A_iso_code , 46) | // 0 or 1 1
GB_LSHIFT (B_iso_code , 45) | // 0 or 1 1
GB_LSHIFT (flipxy , 44) | // 0 to 1 1
// multiplier, z = f(x,y) or f(y,x) (5 hex digits)
// 2 bits unused here (42 and 43)
GB_LSHIFT (mult_code , 36) | // 0 to 52 6
GB_LSHIFT (zcode , 32) | // 0 to 14 4
GB_LSHIFT (xcode , 28) | // 0 to 14 4
GB_LSHIFT (ycode , 24) | // 0 to 14 4
// mask (1 hex digit)
GB_LSHIFT (mask_ecode , 20) | // 0 to 13 4
// types of C, A, and B (3 hex digits)
GB_LSHIFT (ccode , 16) | // 0 to 14 4
GB_LSHIFT (acode , 12) | // 0 to 14 4
GB_LSHIFT (bcode , 8) | // 0 to 14 4
// sparsity structures of C, M, A, and B (2 hex digits)
GB_LSHIFT (csparsity , 6) | // 0 to 3 2
GB_LSHIFT (msparsity , 4) | // 0 to 3 2
GB_LSHIFT (asparsity , 2) | // 0 to 3 2
GB_LSHIFT (bsparsity , 0) ; // 0 to 3 2
}
|
