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1 /* Chains of recurrences.
2 Copyright (C) 2003, 2004, 2005 Free Software Foundation, Inc.
3 Contributed by Sebastian Pop <s.pop@laposte.net>
4
5 This file is part of GCC.
6
7 GCC is free software; you can redistribute it and/or modify it under
8 the terms of the GNU General Public License as published by the Free
9 Software Foundation; either version 2, or (at your option) any later
10 version.
11
12 GCC is distributed in the hope that it will be useful, but WITHOUT ANY
13 WARRANTY; without even the implied warranty of MERCHANTABILITY or
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
15 for more details.
16
17 You should have received a copy of the GNU General Public License
18 along with GCC; see the file COPYING. If not, write to the Free
19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA
20 02111-1307, USA. */
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
37 extern tree chrec_not_analyzed_yet;
38 extern GTY(()) tree chrec_dont_know;
39 extern GTY(()) tree chrec_known;
40
41 /* After having added an automatically generated element, please
42 include it in the following function. */
43
44 static inline bool
45 automatically_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
54 static inline bool
55 tree_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. */
67 extern tree chrec_fold_plus (tree, tree, tree);
68 extern tree chrec_fold_minus (tree, tree, tree);
69 extern tree chrec_fold_multiply (tree, tree, tree);
70 extern tree chrec_convert (tree, tree, tree);
71 extern tree chrec_type (tree);
72
73 /* Operations. */
74 extern tree chrec_apply (unsigned, tree, tree);
75 extern tree chrec_replace_initial_condition (tree, tree);
76 extern tree initial_condition (tree);
77 extern tree initial_condition_in_loop_num (tree, unsigned);
78 extern tree evolution_part_in_loop_num (tree, unsigned);
79 extern tree hide_evolution_in_other_loops_than_loop (tree, unsigned);
80 extern tree reset_evolution_in_loop (unsigned, tree, tree);
81 extern tree chrec_merge (tree, tree);
82
83 /* Observers. */
84 extern bool is_multivariate_chrec (tree);
85 extern bool chrec_is_positive (tree, bool *);
86 extern bool chrec_contains_symbols (tree);
87 extern bool chrec_contains_symbols_defined_in_loop (tree, unsigned);
88 extern bool chrec_contains_undetermined (tree);
89 extern bool tree_contains_chrecs (tree, int *);
90 extern bool evolution_function_is_affine_multivariate_p (tree);
91 extern bool evolution_function_is_univariate_p (tree);
92 extern unsigned nb_vars_in_chrec (tree);
93
94 \f
95
96 /* Build a polynomial chain of recurrence. */
97
98 static inline tree
99 build_polynomial_chrec (unsigned loop_num,
100 tree left,
101 tree right)
102 {
103 if (left == chrec_dont_know
104 || right == chrec_dont_know)
105 return chrec_dont_know;
106
107 return build (POLYNOMIAL_CHREC, TREE_TYPE (left),
108 build_int_cst (NULL_TREE, loop_num), left, right);
109 }
110
111 \f
112
113 /* Observers. */
114
115 /* Determines whether CHREC is equal to zero. */
116
117 static inline bool
118 chrec_zerop (tree chrec)
119 {
120 if (chrec == NULL_TREE)
121 return false;
122
123 if (TREE_CODE (chrec) == INTEGER_CST)
124 return integer_zerop (chrec);
125
126 return false;
127 }
128
129 /* Determines whether the expression CHREC is a constant. */
130
131 static inline bool
132 evolution_function_is_constant_p (tree chrec)
133 {
134 if (chrec == NULL_TREE)
135 return false;
136
137 switch (TREE_CODE (chrec))
138 {
139 case INTEGER_CST:
140 case REAL_CST:
141 return true;
142
143 default:
144 return false;
145 }
146 }
147
148 extern bool evolution_function_is_invariant_p (tree, int);
149 /* Determine whether the given tree is an affine evolution function or not. */
150
151 static inline bool
152 evolution_function_is_affine_p (tree chrec)
153 {
154 if (chrec == NULL_TREE)
155 return false;
156
157 switch (TREE_CODE (chrec))
158 {
159 case POLYNOMIAL_CHREC:
160 if (evolution_function_is_invariant_p (CHREC_LEFT (chrec),
161 CHREC_VARIABLE (chrec))
162 && evolution_function_is_invariant_p (CHREC_RIGHT (chrec),
163 CHREC_VARIABLE (chrec)))
164 return true;
165 else
166 return false;
167
168 default:
169 return false;
170 }
171 }
172
173 /* Determine whether the given tree is an affine or constant evolution
174 function. */
175
176 static inline bool
177 evolution_function_is_affine_or_constant_p (tree chrec)
178 {
179 return evolution_function_is_affine_p (chrec)
180 || evolution_function_is_constant_p (chrec);
181 }
182
183 /* Determines whether EXPR does not contains chrec expressions. */
184
185 static inline bool
186 tree_does_not_contain_chrecs (tree expr)
187 {
188 return !tree_contains_chrecs (expr, NULL);
189 }
190
191 /* Determines whether CHREC is a loop invariant with respect to LOOP_NUM.
192 Set the result in RES and return true when the property can be computed. */
193
194 static inline bool
195 no_evolution_in_loop_p (tree chrec, unsigned loop_num, bool *res)
196 {
197 tree scev;
198
199 if (chrec == chrec_not_analyzed_yet
200 || chrec == chrec_dont_know
201 || chrec_contains_symbols_defined_in_loop (chrec, loop_num))
202 return false;
203
204 scev = hide_evolution_in_other_loops_than_loop (chrec, loop_num);
205 *res = !tree_is_chrec (scev);
206 return true;
207 }
208
209 #endif /* GCC_TREE_CHREC_H */