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f82783bd 1/* Operations with long integers.
2bd1333d 2 Copyright (C) 2006, 2007, 2008, 2010 Free Software Foundation, Inc.
b8698a0f 3
f82783bd 4This file is part of GCC.
b8698a0f 5
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6GCC is free software; you can redistribute it and/or modify it
7under the terms of the GNU General Public License as published by the
9dcd6f09 8Free Software Foundation; either version 3, or (at your option) any
f82783bd 9later version.
b8698a0f 10
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11GCC is distributed in the hope that it will be useful, but WITHOUT
12ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
13FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
14for more details.
b8698a0f 15
f82783bd 16You should have received a copy of the GNU General Public License
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17along with GCC; see the file COPYING3. If not see
18<http://www.gnu.org/licenses/>. */
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19
20#ifndef DOUBLE_INT_H
21#define DOUBLE_INT_H
22
34917a10 23#ifndef GENERATOR_FILE
e4fd22c6 24#include <gmp.h>
34917a10 25#endif
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26#include "coretypes.h"
27
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28/* A large integer is currently represented as a pair of HOST_WIDE_INTs.
29 It therefore represents a number with precision of
30 2 * HOST_BITS_PER_WIDE_INT bits (it is however possible that the
31 internal representation will change, if numbers with greater precision
32 are needed, so the users should not rely on it). The representation does
33 not contain any information about signedness of the represented value, so
34 it can be used to represent both signed and unsigned numbers. For
35 operations where the results depend on signedness (division, comparisons),
36 it must be specified separately. For each such operation, there are three
37 versions of the function -- double_int_op, that takes an extra UNS argument
38 giving the signedness of the values, and double_int_sop and double_int_uop
39 that stand for its specializations for signed and unsigned values.
40
41 You may also represent with numbers in smaller precision using double_int.
42 You however need to use double_int_ext (that fills in the bits of the
43 number over the prescribed precision with zeros or with the sign bit) before
44 operations that do not perform arithmetics modulo 2^precision (comparisons,
45 division), and possibly before storing the results, if you want to keep
46 them in some canonical form). In general, the signedness of double_int_ext
47 should match the signedness of the operation.
48
49 ??? The components of double_int differ in signedness mostly for
50 historical reasons (they replace an older structure used to represent
66a4ad37 51 numbers with precision higher than HOST_WIDE_INT). It might be less
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52 confusing to have them both signed or both unsigned. */
53
54typedef struct
55{
56 unsigned HOST_WIDE_INT low;
57 HOST_WIDE_INT high;
58} double_int;
59
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60#define HOST_BITS_PER_DOUBLE_INT (2 * HOST_BITS_PER_WIDE_INT)
61
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62/* Constructors and conversions. */
63
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64/* Constructs double_int from integer CST. The bits over the precision of
65 HOST_WIDE_INT are filled with the sign bit. */
66
67static inline double_int
68shwi_to_double_int (HOST_WIDE_INT cst)
69{
70 double_int r;
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72 r.low = (unsigned HOST_WIDE_INT) cst;
73 r.high = cst < 0 ? -1 : 0;
74
75 return r;
76}
77
78/* Some useful constants. */
79
80#define double_int_minus_one (shwi_to_double_int (-1))
81#define double_int_zero (shwi_to_double_int (0))
82#define double_int_one (shwi_to_double_int (1))
83#define double_int_two (shwi_to_double_int (2))
84#define double_int_ten (shwi_to_double_int (10))
85
86/* Constructs double_int from unsigned integer CST. The bits over the
87 precision of HOST_WIDE_INT are filled with zeros. */
88
89static inline double_int
90uhwi_to_double_int (unsigned HOST_WIDE_INT cst)
91{
92 double_int r;
b8698a0f 93
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94 r.low = cst;
95 r.high = 0;
96
97 return r;
98}
99
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100/* Returns value of CST as a signed number. CST must satisfy
101 double_int_fits_in_shwi_p. */
102
103static inline HOST_WIDE_INT
104double_int_to_shwi (double_int cst)
105{
106 return (HOST_WIDE_INT) cst.low;
107}
108
109/* Returns value of CST as an unsigned number. CST must satisfy
110 double_int_fits_in_uhwi_p. */
111
112static inline unsigned HOST_WIDE_INT
113double_int_to_uhwi (double_int cst)
114{
115 return cst.low;
116}
117
118bool double_int_fits_in_hwi_p (double_int, bool);
119bool double_int_fits_in_shwi_p (double_int);
120
121/* Returns true if CST fits in unsigned HOST_WIDE_INT. */
122
123static inline bool
124double_int_fits_in_uhwi_p (double_int cst)
125{
126 return cst.high == 0;
127}
128
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129/* The following operations perform arithmetics modulo 2^precision,
130 so you do not need to call double_int_ext between them, even if
131 you are representing numbers with precision less than
132 2 * HOST_BITS_PER_WIDE_INT bits. */
133
134double_int double_int_mul (double_int, double_int);
135double_int double_int_add (double_int, double_int);
bdc45386 136double_int double_int_sub (double_int, double_int);
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137double_int double_int_neg (double_int);
138
139/* You must ensure that double_int_ext is called on the operands
140 of the following operations, if the precision of the numbers
141 is less than 2 * HOST_BITS_PER_WIDE_INT bits. */
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142double_int double_int_div (double_int, double_int, bool, unsigned);
143double_int double_int_sdiv (double_int, double_int, unsigned);
144double_int double_int_udiv (double_int, double_int, unsigned);
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145double_int double_int_mod (double_int, double_int, bool, unsigned);
146double_int double_int_smod (double_int, double_int, unsigned);
147double_int double_int_umod (double_int, double_int, unsigned);
148double_int double_int_divmod (double_int, double_int, bool, unsigned, double_int *);
149double_int double_int_sdivmod (double_int, double_int, unsigned, double_int *);
150double_int double_int_udivmod (double_int, double_int, unsigned, double_int *);
54fb1ae0 151double_int double_int_setbit (double_int, unsigned);
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152
153/* Logical operations. */
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154
155/* Returns ~A. */
156
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157static inline double_int
158double_int_not (double_int a)
159{
160 a.low = ~a.low;
161 a.high = ~ a.high;
162 return a;
163}
164
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165/* Returns A | B. */
166
167static inline double_int
168double_int_ior (double_int a, double_int b)
169{
170 a.low |= b.low;
171 a.high |= b.high;
172 return a;
173}
174
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175/* Returns A & B. */
176
177static inline double_int
178double_int_and (double_int a, double_int b)
179{
180 a.low &= b.low;
181 a.high &= b.high;
182 return a;
183}
184
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185/* Returns A ^ B. */
186
187static inline double_int
188double_int_xor (double_int a, double_int b)
189{
190 a.low ^= b.low;
191 a.high ^= b.high;
192 return a;
193}
194
195
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196/* Shift operations. */
197double_int double_int_lshift (double_int, HOST_WIDE_INT, unsigned int, bool);
198double_int double_int_rshift (double_int, HOST_WIDE_INT, unsigned int, bool);
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199double_int double_int_lrotate (double_int, HOST_WIDE_INT, unsigned int);
200double_int double_int_rrotate (double_int, HOST_WIDE_INT, unsigned int);
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201
202/* Returns true if CST is negative. Of course, CST is considered to
203 be signed. */
204
205static inline bool
206double_int_negative_p (double_int cst)
207{
208 return cst.high < 0;
209}
210
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211int double_int_cmp (double_int, double_int, bool);
212int double_int_scmp (double_int, double_int);
213int double_int_ucmp (double_int, double_int);
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214
215double_int double_int_max (double_int, double_int, bool);
216double_int double_int_smax (double_int, double_int);
217double_int double_int_umax (double_int, double_int);
218
219double_int double_int_min (double_int, double_int, bool);
220double_int double_int_smin (double_int, double_int);
221double_int double_int_umin (double_int, double_int);
222
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223void dump_double_int (FILE *, double_int, bool);
224
225/* Zero and sign extension of numbers in smaller precisions. */
226
227double_int double_int_ext (double_int, unsigned, bool);
228double_int double_int_sext (double_int, unsigned);
229double_int double_int_zext (double_int, unsigned);
b3ce5b6e 230double_int double_int_mask (unsigned);
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231
232#define ALL_ONES (~((unsigned HOST_WIDE_INT) 0))
233
234/* The operands of the following comparison functions must be processed
235 with double_int_ext, if their precision is less than
236 2 * HOST_BITS_PER_WIDE_INT bits. */
237
238/* Returns true if CST is zero. */
239
240static inline bool
241double_int_zero_p (double_int cst)
242{
243 return cst.low == 0 && cst.high == 0;
244}
245
246/* Returns true if CST is one. */
247
248static inline bool
249double_int_one_p (double_int cst)
250{
251 return cst.low == 1 && cst.high == 0;
252}
253
254/* Returns true if CST is minus one. */
255
256static inline bool
257double_int_minus_one_p (double_int cst)
258{
259 return (cst.low == ALL_ONES && cst.high == -1);
260}
261
262/* Returns true if CST1 == CST2. */
263
264static inline bool
265double_int_equal_p (double_int cst1, double_int cst2)
266{
267 return cst1.low == cst2.low && cst1.high == cst2.high;
268}
269
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270
271/* Legacy interface with decomposed high/low parts. */
272
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273extern int add_double_with_sign (unsigned HOST_WIDE_INT, HOST_WIDE_INT,
274 unsigned HOST_WIDE_INT, HOST_WIDE_INT,
275 unsigned HOST_WIDE_INT *, HOST_WIDE_INT *,
276 bool);
277#define add_double(l1,h1,l2,h2,lv,hv) \
278 add_double_with_sign (l1, h1, l2, h2, lv, hv, false)
279extern int neg_double (unsigned HOST_WIDE_INT, HOST_WIDE_INT,
280 unsigned HOST_WIDE_INT *, HOST_WIDE_INT *);
281extern int mul_double_with_sign (unsigned HOST_WIDE_INT, HOST_WIDE_INT,
282 unsigned HOST_WIDE_INT, HOST_WIDE_INT,
283 unsigned HOST_WIDE_INT *, HOST_WIDE_INT *,
284 bool);
285#define mul_double(l1,h1,l2,h2,lv,hv) \
286 mul_double_with_sign (l1, h1, l2, h2, lv, hv, false)
287extern void lshift_double (unsigned HOST_WIDE_INT, HOST_WIDE_INT,
288 HOST_WIDE_INT, unsigned int,
289 unsigned HOST_WIDE_INT *, HOST_WIDE_INT *, bool);
290extern void rshift_double (unsigned HOST_WIDE_INT, HOST_WIDE_INT,
291 HOST_WIDE_INT, unsigned int,
292 unsigned HOST_WIDE_INT *, HOST_WIDE_INT *, bool);
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293extern int div_and_round_double (unsigned, int, unsigned HOST_WIDE_INT,
294 HOST_WIDE_INT, unsigned HOST_WIDE_INT,
295 HOST_WIDE_INT, unsigned HOST_WIDE_INT *,
296 HOST_WIDE_INT *, unsigned HOST_WIDE_INT *,
297 HOST_WIDE_INT *);
298
299
34917a10 300#ifndef GENERATOR_FILE
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301/* Conversion to and from GMP integer representations. */
302
303void mpz_set_double_int (mpz_t, double_int, bool);
22ea9ec0 304double_int mpz_get_double_int (const_tree, mpz_t, bool);
34917a10 305#endif
e4fd22c6 306
f82783bd 307#endif /* DOUBLE_INT_H */