1 /* Chains of recurrences. 2 Copyright (C) 2003-2018 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 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); 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); 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 if (CONSTANT_CLASS_P (chrec)) 174 return true; 175 return is_gimple_min_invariant (chrec); 176 } 177 178 /* Determine whether CHREC is an affine evolution function in LOOPNUM. */ 179 180 static inline bool 181 evolution_function_is_affine_in_loop (const_tree chrec, int loopnum) 182 { 183 if (chrec == NULL_TREE) 184 return false; 185 186 switch (TREE_CODE (chrec)) 187 { 188 case POLYNOMIAL_CHREC: 189 if (evolution_function_is_invariant_p (CHREC_LEFT (chrec), loopnum) 190 && evolution_function_is_invariant_p (CHREC_RIGHT (chrec), loopnum)) 191 return true; 192 else 193 return false; 194 195 default: 196 return false; 197 } 198 } 199 200 /* Determine whether CHREC is an affine evolution function or not. */ 201 202 static inline bool 203 evolution_function_is_affine_p (const_tree chrec) 204 { 205 return chrec 206 && TREE_CODE (chrec) == POLYNOMIAL_CHREC 207 && evolution_function_is_invariant_p (CHREC_RIGHT (chrec), 208 CHREC_VARIABLE (chrec)) 209 && (TREE_CODE (CHREC_RIGHT (chrec)) != POLYNOMIAL_CHREC 210 || evolution_function_is_affine_p (CHREC_RIGHT (chrec))); 211 } 212 213 /* Determines whether EXPR does not contains chrec expressions. */ 214 215 static inline bool 216 tree_does_not_contain_chrecs (const_tree expr) 217 { 218 return !tree_contains_chrecs (expr, NULL); 219 } 220 221 /* Returns the type of the chrec. */ 222 223 static inline tree 224 chrec_type (const_tree chrec) 225 { 226 if (automatically_generated_chrec_p (chrec)) 227 return NULL_TREE; 228 229 return TREE_TYPE (chrec); 230 } 231 232 static inline tree 233 chrec_fold_op (enum tree_code code, tree type, tree op0, tree op1) 234 { 235 switch (code) 236 { 237 case PLUS_EXPR: 238 return chrec_fold_plus (type, op0, op1); 239 240 case MINUS_EXPR: 241 return chrec_fold_minus (type, op0, op1); 242 243 case MULT_EXPR: 244 return chrec_fold_multiply (type, op0, op1); 245 246 default: 247 gcc_unreachable (); 248 } 249 250 } 251 252 #endif /* GCC_TREE_CHREC_H */ 253