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1 /* Chains of recurrences.
2 Copyright (C) 2003-2019 Free Software Foundation, Inc.
3 Contributed by Sebastian Pop <pop@cri.ensmp.fr>
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 3, 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 COPYING3. If not see
19 <http://www.gnu.org/licenses/>. */
20
21 #ifndef GCC_TREE_CHREC_H
22 #define GCC_TREE_CHREC_H
23
24 /* The following trees are unique elements. Thus the comparison of another
25 element to these elements should be done on the pointer to these trees,
26 and not on their value. */
27
28 extern tree chrec_not_analyzed_yet;
29 extern GTY(()) tree chrec_dont_know;
30 extern GTY(()) tree chrec_known;
31
32 /* After having added an automatically generated element, please
33 include it in the following function. */
34
35 static inline bool
36 automatically_generated_chrec_p (const_tree chrec)
37 {
38 return (chrec == chrec_dont_know
39 || chrec == chrec_known);
40 }
41
42 /* The tree nodes aka. CHRECs. */
43
44 static inline bool
45 tree_is_chrec (const_tree expr)
46 {
47 if (TREE_CODE (expr) == POLYNOMIAL_CHREC
48 || automatically_generated_chrec_p (expr))
49 return true;
50 else
51 return false;
52 }
53
54 \f
55 enum ev_direction {EV_DIR_GROWS, EV_DIR_DECREASES, EV_DIR_UNKNOWN};
56 enum ev_direction scev_direction (const_tree);
57
58 /* Chrec folding functions. */
59 extern tree chrec_fold_plus (tree, tree, tree);
60 extern tree chrec_fold_minus (tree, tree, tree);
61 extern tree chrec_fold_multiply (tree, tree, tree);
62 extern tree chrec_convert (tree, tree, gimple *, bool = true, tree = NULL);
63 extern tree chrec_convert_rhs (tree, tree, gimple *);
64 extern tree chrec_convert_aggressive (tree, tree, bool *);
65
66 /* Operations. */
67 extern tree chrec_apply (unsigned, tree, tree);
68 extern tree chrec_apply_map (tree, vec<tree> );
69 extern tree chrec_replace_initial_condition (tree, tree);
70 extern tree initial_condition (tree);
71 extern tree initial_condition_in_loop_num (tree, unsigned);
72 extern tree evolution_part_in_loop_num (tree, unsigned);
73 extern tree hide_evolution_in_other_loops_than_loop (tree, unsigned);
74 extern tree reset_evolution_in_loop (unsigned, tree, tree);
75 extern tree chrec_merge (tree, tree);
76 extern void for_each_scev_op (tree *, bool (*) (tree *, void *), void *);
77 extern bool convert_affine_scev (struct loop *, tree, tree *, tree *, gimple *,
78 bool, tree = NULL);
79
80 /* Observers. */
81 extern bool eq_evolutions_p (const_tree, const_tree);
82 extern bool is_multivariate_chrec (const_tree);
83 extern bool chrec_contains_symbols (const_tree, struct loop * = NULL);
84 extern bool chrec_contains_symbols_defined_in_loop (const_tree, unsigned);
85 extern bool chrec_contains_undetermined (const_tree);
86 extern bool tree_contains_chrecs (const_tree, int *);
87 extern bool evolution_function_is_affine_multivariate_p (const_tree, int);
88 extern bool evolution_function_is_univariate_p (const_tree, int = 0);
89 extern unsigned nb_vars_in_chrec (tree);
90 extern bool evolution_function_is_invariant_p (tree, int);
91 extern bool scev_is_linear_expression (tree);
92 extern bool evolution_function_right_is_integer_cst (const_tree);
93
94 /* Determines whether CHREC is equal to zero. */
95
96 static inline bool
97 chrec_zerop (const_tree chrec)
98 {
99 if (chrec == NULL_TREE)
100 return false;
101
102 if (TREE_CODE (chrec) == INTEGER_CST)
103 return integer_zerop (chrec);
104
105 return false;
106 }
107
108 /* Determines whether CHREC is a loop invariant with respect to LOOP_NUM.
109 Set the result in RES and return true when the property can be computed. */
110
111 static inline bool
112 no_evolution_in_loop_p (tree chrec, unsigned loop_num, bool *res)
113 {
114 tree scev;
115
116 if (chrec == chrec_not_analyzed_yet
117 || chrec == chrec_dont_know
118 || chrec_contains_symbols_defined_in_loop (chrec, loop_num))
119 return false;
120
121 STRIP_NOPS (chrec);
122 scev = hide_evolution_in_other_loops_than_loop (chrec, loop_num);
123 *res = !tree_contains_chrecs (scev, NULL);
124 return true;
125 }
126
127 /* Build a polynomial chain of recurrence. */
128
129 static inline tree
130 build_polynomial_chrec (unsigned loop_num,
131 tree left,
132 tree right)
133 {
134 bool val;
135
136 if (left == chrec_dont_know
137 || right == chrec_dont_know)
138 return chrec_dont_know;
139
140 if (!no_evolution_in_loop_p (left, loop_num, &val)
141 || !val)
142 return chrec_dont_know;
143
144 /* Types of left and right sides of a chrec should be compatible, but
145 pointer CHRECs are special in that the evolution is of ptroff type. */
146 if (POINTER_TYPE_P (TREE_TYPE (left)))
147 gcc_checking_assert (ptrofftype_p (TREE_TYPE (right)));
148 else
149 {
150 /* Pointer types should occur only on the left hand side, i.e. in
151 the base of the chrec, and not in the step. */
152 gcc_checking_assert (!POINTER_TYPE_P (TREE_TYPE (right))
153 && types_compatible_p (TREE_TYPE (left),
154 TREE_TYPE (right)));
155 }
156
157 if (chrec_zerop (right))
158 return left;
159
160 tree chrec = build2 (POLYNOMIAL_CHREC, TREE_TYPE (left), left, right);
161 CHREC_VARIABLE (chrec) = loop_num;
162 return chrec;
163 }
164
165 /* Determines whether the expression CHREC is a constant. */
166
167 static inline bool
168 evolution_function_is_constant_p (const_tree chrec)
169 {
170 if (chrec == NULL_TREE)
171 return false;
172
173 return is_gimple_min_invariant (chrec);
174 }
175
176 /* Determine whether CHREC is an affine evolution function in LOOPNUM. */
177
178 static inline bool
179 evolution_function_is_affine_in_loop (const_tree chrec, int loopnum)
180 {
181 if (chrec == NULL_TREE)
182 return false;
183
184 switch (TREE_CODE (chrec))
185 {
186 case POLYNOMIAL_CHREC:
187 if (evolution_function_is_invariant_p (CHREC_LEFT (chrec), loopnum)
188 && evolution_function_is_invariant_p (CHREC_RIGHT (chrec), loopnum))
189 return true;
190 else
191 return false;
192
193 default:
194 return false;
195 }
196 }
197
198 /* Determine whether CHREC is an affine evolution function or not. */
199
200 static inline bool
201 evolution_function_is_affine_p (const_tree chrec)
202 {
203 return chrec
204 && TREE_CODE (chrec) == POLYNOMIAL_CHREC
205 && evolution_function_is_invariant_p (CHREC_RIGHT (chrec),
206 CHREC_VARIABLE (chrec))
207 && (TREE_CODE (CHREC_RIGHT (chrec)) != POLYNOMIAL_CHREC
208 || evolution_function_is_affine_p (CHREC_RIGHT (chrec)));
209 }
210
211 /* Determines whether EXPR does not contains chrec expressions. */
212
213 static inline bool
214 tree_does_not_contain_chrecs (const_tree expr)
215 {
216 return !tree_contains_chrecs (expr, NULL);
217 }
218
219 /* Returns the type of the chrec. */
220
221 static inline tree
222 chrec_type (const_tree chrec)
223 {
224 if (automatically_generated_chrec_p (chrec))
225 return NULL_TREE;
226
227 return TREE_TYPE (chrec);
228 }
229
230 static inline tree
231 chrec_fold_op (enum tree_code code, tree type, tree op0, tree op1)
232 {
233 switch (code)
234 {
235 case PLUS_EXPR:
236 return chrec_fold_plus (type, op0, op1);
237
238 case MINUS_EXPR:
239 return chrec_fold_minus (type, op0, op1);
240
241 case MULT_EXPR:
242 return chrec_fold_multiply (type, op0, op1);
243
244 default:
245 gcc_unreachable ();
246 }
247
248 }
249
250 #endif /* GCC_TREE_CHREC_H */