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c8a2ab6d 1/* Chains of recurrences.
fe9565ed 2 Copyright (C) 2003, 2004, 2005 Free Software Foundation, Inc.
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3 Contributed by Sebastian Pop <s.pop@laposte.net>
4
5This file is part of GCC.
6
7GCC is free software; you can redistribute it and/or modify it under
8the terms of the GNU General Public License as published by the Free
9Software Foundation; either version 2, or (at your option) any later
10version.
11
12GCC is distributed in the hope that it will be useful, but WITHOUT ANY
13WARRANTY; without even the implied warranty of MERCHANTABILITY or
14FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
15for more details.
16
17You should have received a copy of the GNU General Public License
18along with GCC; see the file COPYING. If not, write to the Free
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19Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
2002110-1301, USA. */
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21
22#ifndef GCC_TREE_CHREC_H
23#define GCC_TREE_CHREC_H
24
25/* Accessors for the chains of recurrences. */
26#define CHREC_VAR(NODE) TREE_OPERAND (NODE, 0)
27#define CHREC_LEFT(NODE) TREE_OPERAND (NODE, 1)
28#define CHREC_RIGHT(NODE) TREE_OPERAND (NODE, 2)
29#define CHREC_VARIABLE(NODE) TREE_INT_CST_LOW (CHREC_VAR (NODE))
30
31\f
32
33/* The following trees are unique elements. Thus the comparison of another
34 element to these elements should be done on the pointer to these trees,
35 and not on their value. */
36
37extern tree chrec_not_analyzed_yet;
38extern GTY(()) tree chrec_dont_know;
39extern GTY(()) tree chrec_known;
40
41/* After having added an automatically generated element, please
42 include it in the following function. */
43
44static inline bool
45automatically_generated_chrec_p (tree chrec)
46{
47 return (chrec == chrec_not_analyzed_yet
48 || chrec == chrec_dont_know
49 || chrec == chrec_known);
50}
51
52/* The tree nodes aka. CHRECs. */
53
54static inline bool
55tree_is_chrec (tree expr)
56{
57 if (TREE_CODE (expr) == POLYNOMIAL_CHREC
58 || automatically_generated_chrec_p (expr))
59 return true;
60 else
61 return false;
62}
63
64\f
65
66/* Chrec folding functions. */
67extern tree chrec_fold_plus (tree, tree, tree);
68extern tree chrec_fold_minus (tree, tree, tree);
69extern tree chrec_fold_multiply (tree, tree, tree);
1e8552eb 70extern tree chrec_convert (tree, tree, tree);
2282a0e6 71extern tree chrec_convert_aggressive (tree, tree);
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72extern tree chrec_type (tree);
73
74/* Operations. */
75extern tree chrec_apply (unsigned, tree, tree);
76extern tree chrec_replace_initial_condition (tree, tree);
c8a2ab6d 77extern tree initial_condition (tree);
6775f1f3 78extern tree initial_condition_in_loop_num (tree, unsigned);
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79extern tree evolution_part_in_loop_num (tree, unsigned);
80extern tree hide_evolution_in_other_loops_than_loop (tree, unsigned);
81extern tree reset_evolution_in_loop (unsigned, tree, tree);
82extern tree chrec_merge (tree, tree);
83
84/* Observers. */
85extern bool is_multivariate_chrec (tree);
86extern bool chrec_is_positive (tree, bool *);
87extern bool chrec_contains_symbols (tree);
88extern bool chrec_contains_symbols_defined_in_loop (tree, unsigned);
89extern bool chrec_contains_undetermined (tree);
2412d35c 90extern bool tree_contains_chrecs (tree, int *);
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91extern bool evolution_function_is_affine_multivariate_p (tree);
92extern bool evolution_function_is_univariate_p (tree);
86df10e3 93extern unsigned nb_vars_in_chrec (tree);
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94
95\f
96
97/* Build a polynomial chain of recurrence. */
98
99static inline tree
100build_polynomial_chrec (unsigned loop_num,
101 tree left,
102 tree right)
103{
104 if (left == chrec_dont_know
105 || right == chrec_dont_know)
106 return chrec_dont_know;
107
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108 return build3 (POLYNOMIAL_CHREC, TREE_TYPE (left),
109 build_int_cst (NULL_TREE, loop_num), left, right);
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110}
111
112\f
113
114/* Observers. */
115
116/* Determines whether CHREC is equal to zero. */
117
118static inline bool
119chrec_zerop (tree chrec)
120{
121 if (chrec == NULL_TREE)
122 return false;
123
124 if (TREE_CODE (chrec) == INTEGER_CST)
125 return integer_zerop (chrec);
126
127 return false;
128}
129
130/* Determines whether the expression CHREC is a constant. */
131
132static inline bool
133evolution_function_is_constant_p (tree chrec)
134{
135 if (chrec == NULL_TREE)
136 return false;
137
138 switch (TREE_CODE (chrec))
139 {
140 case INTEGER_CST:
141 case REAL_CST:
142 return true;
143
144 default:
145 return false;
146 }
147}
148
1e8552eb 149extern bool evolution_function_is_invariant_p (tree, int);
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150/* Determine whether the given tree is an affine evolution function or not. */
151
152static inline bool
153evolution_function_is_affine_p (tree chrec)
154{
155 if (chrec == NULL_TREE)
156 return false;
157
158 switch (TREE_CODE (chrec))
159 {
160 case POLYNOMIAL_CHREC:
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161 if (evolution_function_is_invariant_p (CHREC_LEFT (chrec),
162 CHREC_VARIABLE (chrec))
163 && evolution_function_is_invariant_p (CHREC_RIGHT (chrec),
164 CHREC_VARIABLE (chrec)))
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165 return true;
166 else
167 return false;
168
169 default:
170 return false;
171 }
172}
173
174/* Determine whether the given tree is an affine or constant evolution
175 function. */
176
177static inline bool
178evolution_function_is_affine_or_constant_p (tree chrec)
179{
180 return evolution_function_is_affine_p (chrec)
181 || evolution_function_is_constant_p (chrec);
182}
183
184/* Determines whether EXPR does not contains chrec expressions. */
185
186static inline bool
187tree_does_not_contain_chrecs (tree expr)
188{
2412d35c 189 return !tree_contains_chrecs (expr, NULL);
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190}
191
192/* Determines whether CHREC is a loop invariant with respect to LOOP_NUM.
193 Set the result in RES and return true when the property can be computed. */
194
195static inline bool
196no_evolution_in_loop_p (tree chrec, unsigned loop_num, bool *res)
197{
198 tree scev;
199
200 if (chrec == chrec_not_analyzed_yet
201 || chrec == chrec_dont_know
202 || chrec_contains_symbols_defined_in_loop (chrec, loop_num))
203 return false;
204
205 scev = hide_evolution_in_other_loops_than_loop (chrec, loop_num);
206 *res = !tree_is_chrec (scev);
207 return true;
208}
209
210#endif /* GCC_TREE_CHREC_H */
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