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5c9c1e7c | 1 | /* Support routines for range operations on wide ints. |
fbd26352 | 2 | Copyright (C) 2018-2019 Free Software Foundation, Inc. |
5c9c1e7c | 3 | |
4 | This file is part of GCC. | |
5 | ||
6 | GCC is free software; you can redistribute it and/or modify | |
7 | it under the terms of the GNU General Public License as published by | |
8 | the Free Software Foundation; either version 3, or (at your option) | |
9 | any later version. | |
10 | ||
11 | GCC is distributed in the hope that it will be useful, | |
12 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
13 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
14 | GNU General Public License for more details. | |
15 | ||
16 | You should have received a copy of the GNU General Public License | |
17 | along with GCC; see the file COPYING3. If not see | |
18 | <http://www.gnu.org/licenses/>. */ | |
19 | ||
20 | #ifndef GCC_WIDE_INT_RANGE_H | |
21 | #define GCC_WIDE_INT_RANGE_H | |
22 | ||
23 | extern bool wide_int_range_cross_product (wide_int &res_lb, wide_int &res_ub, | |
24 | enum tree_code code, signop sign, | |
25 | const wide_int &, const wide_int &, | |
26 | const wide_int &, const wide_int &, | |
27 | bool overflow_undefined); | |
28 | extern bool wide_int_range_mult_wrapping (wide_int &res_lb, | |
29 | wide_int &res_ub, | |
30 | signop sign, | |
31 | unsigned prec, | |
32 | const wide_int &min0_, | |
33 | const wide_int &max0_, | |
34 | const wide_int &min1_, | |
35 | const wide_int &max1_); | |
36 | extern bool wide_int_range_multiplicative_op (wide_int &res_lb, | |
37 | wide_int &res_ub, | |
38 | enum tree_code code, | |
39 | signop sign, | |
40 | unsigned prec, | |
41 | const wide_int &vr0_lb, | |
42 | const wide_int &vr0_ub, | |
43 | const wide_int &vr1_lb, | |
44 | const wide_int &vr1_ub, | |
2e73c0cf | 45 | bool overflow_undefined); |
5c9c1e7c | 46 | extern bool wide_int_range_lshift (wide_int &res_lb, wide_int &res_ub, |
47 | signop sign, unsigned prec, | |
48 | const wide_int &, const wide_int &, | |
49 | const wide_int &, const wide_int &, | |
2e73c0cf | 50 | bool overflow_undefined); |
5c9c1e7c | 51 | extern void wide_int_range_set_zero_nonzero_bits (signop, |
52 | const wide_int &lb, | |
53 | const wide_int &ub, | |
54 | wide_int &may_be_nonzero, | |
55 | wide_int &must_be_nonzero); | |
f0c8c617 | 56 | extern bool wide_int_range_optimize_bit_op (wide_int &res_lb, wide_int &res_ub, |
57 | enum tree_code code, | |
58 | signop sign, | |
59 | const wide_int &vr0_lb, | |
60 | const wide_int &vr0_ub, | |
61 | const wide_int &vr1_lb, | |
62 | const wide_int &vr1_ub); | |
63 | extern bool wide_int_range_get_mask_and_bounds (wide_int &mask, | |
64 | wide_int &lower_bound, | |
65 | wide_int &upper_bound, | |
66 | const wide_int &vr0_min, | |
67 | const wide_int &vr0_max, | |
68 | const wide_int &vr1_min, | |
69 | const wide_int &vr1_max); | |
5c9c1e7c | 70 | extern bool wide_int_range_bit_xor (wide_int &wmin, wide_int &wmax, |
71 | signop sign, | |
72 | unsigned prec, | |
73 | const wide_int &must_be_nonzero0, | |
74 | const wide_int &may_be_nonzero0, | |
75 | const wide_int &must_be_nonzero1, | |
76 | const wide_int &may_be_nonzero1); | |
77 | extern bool wide_int_range_bit_ior (wide_int &wmin, wide_int &wmax, | |
78 | signop sign, | |
79 | const wide_int &vr0_min, | |
80 | const wide_int &vr0_max, | |
81 | const wide_int &vr1_min, | |
82 | const wide_int &vr1_max, | |
83 | const wide_int &must_be_nonzero0, | |
84 | const wide_int &may_be_nonzero0, | |
85 | const wide_int &must_be_nonzero1, | |
86 | const wide_int &may_be_nonzero1); | |
87 | extern bool wide_int_range_bit_and (wide_int &wmin, wide_int &wmax, | |
88 | signop sign, | |
89 | unsigned prec, | |
90 | const wide_int &vr0_min, | |
91 | const wide_int &vr0_max, | |
92 | const wide_int &vr1_min, | |
93 | const wide_int &vr1_max, | |
94 | const wide_int &must_be_nonzero0, | |
95 | const wide_int &may_be_nonzero0, | |
96 | const wide_int &must_be_nonzero1, | |
97 | const wide_int &may_be_nonzero1); | |
98 | extern void wide_int_range_trunc_mod (wide_int &wmin, wide_int &wmax, | |
99 | signop sign, | |
100 | unsigned prec, | |
101 | const wide_int &vr0_min, | |
102 | const wide_int &vr0_max, | |
103 | const wide_int &vr1_min, | |
104 | const wide_int &vr1_max); | |
9e4ef9ee | 105 | extern bool wide_int_range_abs (wide_int &min, wide_int &max, |
106 | signop sign, unsigned prec, | |
107 | const wide_int &vr0_min, | |
108 | const wide_int &vr0_max, | |
109 | bool overflow_undefined); | |
38f851c4 | 110 | extern void wide_int_range_absu (wide_int &min, wide_int &max, |
111 | unsigned prec, | |
112 | const wide_int &vr0_min, | |
113 | const wide_int &vr0_max); | |
ed81b3ca | 114 | extern bool wide_int_range_convert (wide_int &min, wide_int &max, |
115 | signop inner_sign, | |
116 | unsigned inner_prec, | |
117 | signop outer_sign, | |
118 | unsigned outer_prec, | |
119 | const wide_int &vr0_min, | |
120 | const wide_int &vr0_max); | |
dcea420d | 121 | extern bool wide_int_range_div (wide_int &wmin, wide_int &wmax, |
122 | enum tree_code code, | |
123 | signop sign, unsigned prec, | |
124 | const wide_int ÷nd_min, | |
125 | const wide_int ÷nd_max, | |
126 | const wide_int &divisor_min, | |
127 | const wide_int &divisor_max, | |
128 | bool overflow_undefined, | |
dcea420d | 129 | bool &extra_range_p, |
130 | wide_int &extra_min, wide_int &extra_max); | |
5c9c1e7c | 131 | |
f1eca10f | 132 | /* Return TRUE if shifting by range [MIN, MAX] is undefined behavior, |
133 | interpreting MIN and MAX according to SIGN. */ | |
5c9c1e7c | 134 | |
135 | inline bool | |
f1eca10f | 136 | wide_int_range_shift_undefined_p (signop sign, unsigned prec, |
5c9c1e7c | 137 | const wide_int &min, const wide_int &max) |
138 | { | |
139 | /* ?? Note: The original comment said this only applied to | |
140 | RSHIFT_EXPR, but it was being applied to both left and right | |
141 | shifts. */ | |
142 | ||
143 | /* Shifting by any values outside [0..prec-1], gets undefined | |
144 | behavior from the shift operation. We cannot even trust | |
145 | SHIFT_COUNT_TRUNCATED at this stage, because that applies to rtl | |
146 | shifts, and the operation at the tree level may be widened. */ | |
f1eca10f | 147 | return wi::lt_p (min, 0, sign) || wi::ge_p (max, prec, sign); |
5c9c1e7c | 148 | } |
149 | ||
9e4ef9ee | 150 | /* Calculate MIN/MAX_EXPR of two ranges and store the result in [MIN, MAX]. */ |
151 | ||
152 | inline bool | |
153 | wide_int_range_min_max (wide_int &min, wide_int &max, | |
154 | tree_code code, | |
155 | signop sign, unsigned prec, | |
156 | const wide_int &vr0_min, const wide_int &vr0_max, | |
157 | const wide_int &vr1_min, const wide_int &vr1_max) | |
158 | { | |
159 | wi::overflow_type overflow; | |
160 | wide_int_binop (min, code, vr0_min, vr1_min, sign, &overflow); | |
161 | wide_int_binop (max, code, vr0_max, vr1_max, sign, &overflow); | |
162 | /* If the new range covers the entire domain, that's really no range | |
163 | at all. */ | |
164 | if (min == wi::min_value (prec, sign) | |
165 | && max == wi::max_value (prec, sign)) | |
166 | return false; | |
167 | return true; | |
168 | } | |
169 | ||
dcea420d | 170 | /* Return TRUE if 0 is within [WMIN, WMAX]. */ |
171 | ||
172 | inline bool | |
173 | wide_int_range_includes_zero_p (const wide_int &wmin, const wide_int &wmax, | |
174 | signop sign) | |
175 | { | |
176 | return wi::le_p (wmin, 0, sign) && wi::ge_p (wmax, 0, sign); | |
177 | } | |
178 | ||
179 | /* Return TRUE if [WMIN, WMAX] is the singleton 0. */ | |
180 | ||
181 | inline bool | |
182 | wide_int_range_zero_p (const wide_int &wmin, const wide_int &wmax, | |
183 | unsigned prec) | |
184 | { | |
185 | return wmin == wmax && wi::eq_p (wmin, wi::zero (prec)); | |
186 | } | |
187 | ||
5c9c1e7c | 188 | #endif /* GCC_WIDE_INT_RANGE_H */ |