xref: /qemu/util/host-utils.c (revision 72ac97cd)
1 /*
2  * Utility compute operations used by translated code.
3  *
4  * Copyright (c) 2003 Fabrice Bellard
5  * Copyright (c) 2007 Aurelien Jarno
6  *
7  * Permission is hereby granted, free of charge, to any person obtaining a copy
8  * of this software and associated documentation files (the "Software"), to deal
9  * in the Software without restriction, including without limitation the rights
10  * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
11  * copies of the Software, and to permit persons to whom the Software is
12  * furnished to do so, subject to the following conditions:
13  *
14  * The above copyright notice and this permission notice shall be included in
15  * all copies or substantial portions of the Software.
16  *
17  * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
18  * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
19  * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
20  * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
21  * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
22  * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
23  * THE SOFTWARE.
24  */
25 
26 #include <stdlib.h>
27 #include <stdint.h>
28 #include "qemu/host-utils.h"
29 
30 /* Long integer helpers */
31 #ifndef CONFIG_INT128
32 static inline void mul64(uint64_t *plow, uint64_t *phigh,
33                          uint64_t a, uint64_t b)
34 {
35     typedef union {
36         uint64_t ll;
37         struct {
38 #ifdef HOST_WORDS_BIGENDIAN
39             uint32_t high, low;
40 #else
41             uint32_t low, high;
42 #endif
43         } l;
44     } LL;
45     LL rl, rm, rn, rh, a0, b0;
46     uint64_t c;
47 
48     a0.ll = a;
49     b0.ll = b;
50 
51     rl.ll = (uint64_t)a0.l.low * b0.l.low;
52     rm.ll = (uint64_t)a0.l.low * b0.l.high;
53     rn.ll = (uint64_t)a0.l.high * b0.l.low;
54     rh.ll = (uint64_t)a0.l.high * b0.l.high;
55 
56     c = (uint64_t)rl.l.high + rm.l.low + rn.l.low;
57     rl.l.high = c;
58     c >>= 32;
59     c = c + rm.l.high + rn.l.high + rh.l.low;
60     rh.l.low = c;
61     rh.l.high += (uint32_t)(c >> 32);
62 
63     *plow = rl.ll;
64     *phigh = rh.ll;
65 }
66 
67 /* Unsigned 64x64 -> 128 multiplication */
68 void mulu64 (uint64_t *plow, uint64_t *phigh, uint64_t a, uint64_t b)
69 {
70     mul64(plow, phigh, a, b);
71 }
72 
73 /* Signed 64x64 -> 128 multiplication */
74 void muls64 (uint64_t *plow, uint64_t *phigh, int64_t a, int64_t b)
75 {
76     uint64_t rh;
77 
78     mul64(plow, &rh, a, b);
79 
80     /* Adjust for signs.  */
81     if (b < 0) {
82         rh -= a;
83     }
84     if (a < 0) {
85         rh -= b;
86     }
87     *phigh = rh;
88 }
89 
90 /* Unsigned 128x64 division.  Returns 1 if overflow (divide by zero or */
91 /* quotient exceeds 64 bits).  Otherwise returns quotient via plow and */
92 /* remainder via phigh. */
93 int divu128(uint64_t *plow, uint64_t *phigh, uint64_t divisor)
94 {
95     uint64_t dhi = *phigh;
96     uint64_t dlo = *plow;
97     unsigned i;
98     uint64_t carry = 0;
99 
100     if (divisor == 0) {
101         return 1;
102     } else if (dhi == 0) {
103         *plow  = dlo / divisor;
104         *phigh = dlo % divisor;
105         return 0;
106     } else if (dhi > divisor) {
107         return 1;
108     } else {
109 
110         for (i = 0; i < 64; i++) {
111             carry = dhi >> 63;
112             dhi = (dhi << 1) | (dlo >> 63);
113             if (carry || (dhi >= divisor)) {
114                 dhi -= divisor;
115                 carry = 1;
116             } else {
117                 carry = 0;
118             }
119             dlo = (dlo << 1) | carry;
120         }
121 
122         *plow = dlo;
123         *phigh = dhi;
124         return 0;
125     }
126 }
127 
128 int divs128(int64_t *plow, int64_t *phigh, int64_t divisor)
129 {
130     int sgn_dvdnd = *phigh < 0;
131     int sgn_divsr = divisor < 0;
132     int overflow = 0;
133 
134     if (sgn_dvdnd) {
135         *plow = ~(*plow);
136         *phigh = ~(*phigh);
137         if (*plow == (int64_t)-1) {
138             *plow = 0;
139             (*phigh)++;
140          } else {
141             (*plow)++;
142          }
143     }
144 
145     if (sgn_divsr) {
146         divisor = 0 - divisor;
147     }
148 
149     overflow = divu128((uint64_t *)plow, (uint64_t *)phigh, (uint64_t)divisor);
150 
151     if (sgn_dvdnd  ^ sgn_divsr) {
152         *plow = 0 - *plow;
153     }
154 
155     if (!overflow) {
156         if ((*plow < 0) ^ (sgn_dvdnd ^ sgn_divsr)) {
157             overflow = 1;
158         }
159     }
160 
161     return overflow;
162 }
163 
164 #endif /* !CONFIG_INT128 */
165