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
|
/* Chains of recurrences.
Copyright (C) 2003, 2004, 2005, 2006, 2007 Free Software Foundation, Inc.
Contributed by Sebastian Pop <pop@cri.ensmp.fr>
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 3, or (at your option) any later
version.
GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING3. If not see
<http://www.gnu.org/licenses/>. */
#ifndef GCC_TREE_CHREC_H
#define GCC_TREE_CHREC_H
/* Accessors for the chains of recurrences. */
#define CHREC_VAR(NODE) TREE_OPERAND (NODE, 0)
#define CHREC_LEFT(NODE) TREE_OPERAND (NODE, 1)
#define CHREC_RIGHT(NODE) TREE_OPERAND (NODE, 2)
#define CHREC_VARIABLE(NODE) TREE_INT_CST_LOW (CHREC_VAR (NODE))
/* The following trees are unique elements. Thus the comparison of another
element to these elements should be done on the pointer to these trees,
and not on their value. */
extern tree chrec_not_analyzed_yet;
extern GTY(()) tree chrec_dont_know;
extern GTY(()) tree chrec_known;
/* After having added an automatically generated element, please
include it in the following function. */
static inline bool
automatically_generated_chrec_p (tree chrec)
{
return (chrec == chrec_not_analyzed_yet
|| chrec == chrec_dont_know
|| chrec == chrec_known);
}
/* The tree nodes aka. CHRECs. */
static inline bool
tree_is_chrec (tree expr)
{
if (TREE_CODE (expr) == POLYNOMIAL_CHREC
|| automatically_generated_chrec_p (expr))
return true;
else
return false;
}
/* Chrec folding functions. */
extern tree chrec_fold_plus (tree, tree, tree);
extern tree chrec_fold_minus (tree, tree, tree);
extern tree chrec_fold_multiply (tree, tree, tree);
extern tree chrec_convert (tree, tree, tree);
extern tree chrec_convert_aggressive (tree, tree);
/* Operations. */
extern tree chrec_apply (unsigned, tree, tree);
extern tree chrec_replace_initial_condition (tree, tree);
extern tree initial_condition (tree);
extern tree initial_condition_in_loop_num (tree, unsigned);
extern tree evolution_part_in_loop_num (tree, unsigned);
extern tree hide_evolution_in_other_loops_than_loop (tree, unsigned);
extern tree reset_evolution_in_loop (unsigned, tree, tree);
extern tree chrec_merge (tree, tree);
/* Observers. */
extern bool eq_evolutions_p (tree, tree);
extern bool is_multivariate_chrec (tree);
extern bool chrec_is_positive (tree, bool *);
extern bool chrec_contains_symbols (tree);
extern bool chrec_contains_symbols_defined_in_loop (tree, unsigned);
extern bool chrec_contains_undetermined (tree);
extern bool tree_contains_chrecs (tree, int *);
extern bool evolution_function_is_affine_multivariate_p (tree);
extern bool evolution_function_is_univariate_p (tree);
extern unsigned nb_vars_in_chrec (tree);
/* Build a polynomial chain of recurrence. */
static inline tree
build_polynomial_chrec (unsigned loop_num,
tree left,
tree right)
{
if (left == chrec_dont_know
|| right == chrec_dont_know)
return chrec_dont_know;
gcc_assert (TREE_TYPE (left) == TREE_TYPE (right));
return build3 (POLYNOMIAL_CHREC, TREE_TYPE (left),
build_int_cst (NULL_TREE, loop_num), left, right);
}
/* Observers. */
/* Determines whether CHREC is equal to zero. */
static inline bool
chrec_zerop (tree chrec)
{
if (chrec == NULL_TREE)
return false;
if (TREE_CODE (chrec) == INTEGER_CST)
return integer_zerop (chrec);
return false;
}
/* Determines whether the expression CHREC is a constant. */
static inline bool
evolution_function_is_constant_p (tree chrec)
{
if (chrec == NULL_TREE)
return false;
switch (TREE_CODE (chrec))
{
case INTEGER_CST:
case REAL_CST:
return true;
default:
return false;
}
}
extern bool evolution_function_is_invariant_p (tree, int);
/* Determine whether the given tree is an affine evolution function or not. */
static inline bool
evolution_function_is_affine_p (tree chrec)
{
if (chrec == NULL_TREE)
return false;
switch (TREE_CODE (chrec))
{
case POLYNOMIAL_CHREC:
if (evolution_function_is_invariant_p (CHREC_LEFT (chrec),
CHREC_VARIABLE (chrec))
&& evolution_function_is_invariant_p (CHREC_RIGHT (chrec),
CHREC_VARIABLE (chrec)))
return true;
else
return false;
default:
return false;
}
}
/* Determine whether the given tree is an affine or constant evolution
function. */
static inline bool
evolution_function_is_affine_or_constant_p (tree chrec)
{
return evolution_function_is_affine_p (chrec)
|| evolution_function_is_constant_p (chrec);
}
/* Determines whether EXPR does not contains chrec expressions. */
static inline bool
tree_does_not_contain_chrecs (tree expr)
{
return !tree_contains_chrecs (expr, NULL);
}
/* Determines whether CHREC is a loop invariant with respect to LOOP_NUM.
Set the result in RES and return true when the property can be computed. */
static inline bool
no_evolution_in_loop_p (tree chrec, unsigned loop_num, bool *res)
{
tree scev;
if (chrec == chrec_not_analyzed_yet
|| chrec == chrec_dont_know
|| chrec_contains_symbols_defined_in_loop (chrec, loop_num))
return false;
scev = hide_evolution_in_other_loops_than_loop (chrec, loop_num);
*res = !tree_is_chrec (scev);
return true;
}
/* Returns the type of the chrec. */
static inline tree
chrec_type (tree chrec)
{
if (automatically_generated_chrec_p (chrec))
return NULL_TREE;
return TREE_TYPE (chrec);
}
#endif /* GCC_TREE_CHREC_H */
|
