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| 1 | +//===-- udivmodti4.c - Implement __udivmodti4 -----------------------------===// |
| 2 | +// |
| 3 | +// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. |
| 4 | +// See https://llvm.org/LICENSE.txt for license information. |
| 5 | +// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception |
| 6 | +// |
| 7 | +//===----------------------------------------------------------------------===// |
| 8 | +// |
| 9 | +// This file implements __udivmodti4 for the compiler_rt library. |
| 10 | +// |
| 11 | +//===----------------------------------------------------------------------===// |
| 12 | + |
| 13 | +#include "../int_lib.h" |
| 14 | + |
| 15 | +#ifdef CRT_HAS_128BIT |
| 16 | + |
| 17 | +// Effects: if rem != 0, *rem = a % b |
| 18 | +// Returns: a / b |
| 19 | + |
| 20 | +// Translated from Figure 3-40 of The PowerPC Compiler Writer's Guide |
| 21 | + |
| 22 | +COMPILER_RT_ABI tu_int __udivmodti4(tu_int a, tu_int b, tu_int *rem) { |
| 23 | + const unsigned n_udword_bits = sizeof(du_int) * CHAR_BIT; |
| 24 | + const unsigned n_utword_bits = sizeof(tu_int) * CHAR_BIT; |
| 25 | + utwords n; |
| 26 | + n.all = a; |
| 27 | + utwords d; |
| 28 | + d.all = b; |
| 29 | + utwords q; |
| 30 | + utwords r; |
| 31 | + unsigned sr; |
| 32 | + // special cases, X is unknown, K != 0 |
| 33 | + if (n.s.high == 0) { |
| 34 | + if (d.s.high == 0) { |
| 35 | + // 0 X |
| 36 | + // --- |
| 37 | + // 0 X |
| 38 | + if (rem) |
| 39 | + *rem = n.s.low % d.s.low; |
| 40 | + return n.s.low / d.s.low; |
| 41 | + } |
| 42 | + // 0 X |
| 43 | + // --- |
| 44 | + // K X |
| 45 | + if (rem) |
| 46 | + *rem = n.s.low; |
| 47 | + return 0; |
| 48 | + } |
| 49 | + // n.s.high != 0 |
| 50 | + if (d.s.low == 0) { |
| 51 | + if (d.s.high == 0) { |
| 52 | + // K X |
| 53 | + // --- |
| 54 | + // 0 0 |
| 55 | + if (rem) |
| 56 | + *rem = n.s.high % d.s.low; |
| 57 | + return n.s.high / d.s.low; |
| 58 | + } |
| 59 | + // d.s.high != 0 |
| 60 | + if (n.s.low == 0) { |
| 61 | + // K 0 |
| 62 | + // --- |
| 63 | + // K 0 |
| 64 | + if (rem) { |
| 65 | + r.s.high = n.s.high % d.s.high; |
| 66 | + r.s.low = 0; |
| 67 | + *rem = r.all; |
| 68 | + } |
| 69 | + return n.s.high / d.s.high; |
| 70 | + } |
| 71 | + // K K |
| 72 | + // --- |
| 73 | + // K 0 |
| 74 | + if ((d.s.high & (d.s.high - 1)) == 0) /* if d is a power of 2 */ { |
| 75 | + if (rem) { |
| 76 | + r.s.low = n.s.low; |
| 77 | + r.s.high = n.s.high & (d.s.high - 1); |
| 78 | + *rem = r.all; |
| 79 | + } |
| 80 | + return n.s.high >> __builtin_ctzll(d.s.high); |
| 81 | + } |
| 82 | + // K K |
| 83 | + // --- |
| 84 | + // K 0 |
| 85 | + sr = __builtin_clzll(d.s.high) - __builtin_clzll(n.s.high); |
| 86 | + // 0 <= sr <= n_udword_bits - 2 or sr large |
| 87 | + if (sr > n_udword_bits - 2) { |
| 88 | + if (rem) |
| 89 | + *rem = n.all; |
| 90 | + return 0; |
| 91 | + } |
| 92 | + ++sr; |
| 93 | + // 1 <= sr <= n_udword_bits - 1 |
| 94 | + // q.all = n.all << (n_utword_bits - sr); |
| 95 | + q.s.low = 0; |
| 96 | + q.s.high = n.s.low << (n_udword_bits - sr); |
| 97 | + // r.all = n.all >> sr; |
| 98 | + r.s.high = n.s.high >> sr; |
| 99 | + r.s.low = (n.s.high << (n_udword_bits - sr)) | (n.s.low >> sr); |
| 100 | + } else /* d.s.low != 0 */ { |
| 101 | + if (d.s.high == 0) { |
| 102 | + // K X |
| 103 | + // --- |
| 104 | + // 0 K |
| 105 | + if ((d.s.low & (d.s.low - 1)) == 0) /* if d is a power of 2 */ { |
| 106 | + if (rem) |
| 107 | + *rem = n.s.low & (d.s.low - 1); |
| 108 | + if (d.s.low == 1) |
| 109 | + return n.all; |
| 110 | + sr = __builtin_ctzll(d.s.low); |
| 111 | + q.s.high = n.s.high >> sr; |
| 112 | + q.s.low = (n.s.high << (n_udword_bits - sr)) | (n.s.low >> sr); |
| 113 | + return q.all; |
| 114 | + } |
| 115 | + // K X |
| 116 | + // --- |
| 117 | + // 0 K |
| 118 | + sr = 1 + n_udword_bits + __builtin_clzll(d.s.low) - |
| 119 | + __builtin_clzll(n.s.high); |
| 120 | + // 2 <= sr <= n_utword_bits - 1 |
| 121 | + // q.all = n.all << (n_utword_bits - sr); |
| 122 | + // r.all = n.all >> sr; |
| 123 | + if (sr == n_udword_bits) { |
| 124 | + q.s.low = 0; |
| 125 | + q.s.high = n.s.low; |
| 126 | + r.s.high = 0; |
| 127 | + r.s.low = n.s.high; |
| 128 | + } else if (sr < n_udword_bits) /* 2 <= sr <= n_udword_bits - 1 */ { |
| 129 | + q.s.low = 0; |
| 130 | + q.s.high = n.s.low << (n_udword_bits - sr); |
| 131 | + r.s.high = n.s.high >> sr; |
| 132 | + r.s.low = (n.s.high << (n_udword_bits - sr)) | (n.s.low >> sr); |
| 133 | + } else /* n_udword_bits + 1 <= sr <= n_utword_bits - 1 */ { |
| 134 | + q.s.low = n.s.low << (n_utword_bits - sr); |
| 135 | + q.s.high = (n.s.high << (n_utword_bits - sr)) | |
| 136 | + (n.s.low >> (sr - n_udword_bits)); |
| 137 | + r.s.high = 0; |
| 138 | + r.s.low = n.s.high >> (sr - n_udword_bits); |
| 139 | + } |
| 140 | + } else { |
| 141 | + // K X |
| 142 | + // --- |
| 143 | + // K K |
| 144 | + sr = __builtin_clzll(d.s.high) - __builtin_clzll(n.s.high); |
| 145 | + // 0 <= sr <= n_udword_bits - 1 or sr large |
| 146 | + if (sr > n_udword_bits - 1) { |
| 147 | + if (rem) |
| 148 | + *rem = n.all; |
| 149 | + return 0; |
| 150 | + } |
| 151 | + ++sr; |
| 152 | + // 1 <= sr <= n_udword_bits |
| 153 | + // q.all = n.all << (n_utword_bits - sr); |
| 154 | + // r.all = n.all >> sr; |
| 155 | + q.s.low = 0; |
| 156 | + if (sr == n_udword_bits) { |
| 157 | + q.s.high = n.s.low; |
| 158 | + r.s.high = 0; |
| 159 | + r.s.low = n.s.high; |
| 160 | + } else { |
| 161 | + r.s.high = n.s.high >> sr; |
| 162 | + r.s.low = (n.s.high << (n_udword_bits - sr)) | (n.s.low >> sr); |
| 163 | + q.s.high = n.s.low << (n_udword_bits - sr); |
| 164 | + } |
| 165 | + } |
| 166 | + } |
| 167 | + // Not a special case |
| 168 | + // q and r are initialized with: |
| 169 | + // q.all = n.all << (n_utword_bits - sr); |
| 170 | + // r.all = n.all >> sr; |
| 171 | + // 1 <= sr <= n_utword_bits - 1 |
| 172 | + su_int carry = 0; |
| 173 | + for (; sr > 0; --sr) { |
| 174 | + // r:q = ((r:q) << 1) | carry |
| 175 | + r.s.high = (r.s.high << 1) | (r.s.low >> (n_udword_bits - 1)); |
| 176 | + r.s.low = (r.s.low << 1) | (q.s.high >> (n_udword_bits - 1)); |
| 177 | + q.s.high = (q.s.high << 1) | (q.s.low >> (n_udword_bits - 1)); |
| 178 | + q.s.low = (q.s.low << 1) | carry; |
| 179 | + // carry = 0; |
| 180 | + // if (r.all >= d.all) |
| 181 | + // { |
| 182 | + // r.all -= d.all; |
| 183 | + // carry = 1; |
| 184 | + // } |
| 185 | + const ti_int s = (ti_int)(d.all - r.all - 1) >> (n_utword_bits - 1); |
| 186 | + carry = s & 1; |
| 187 | + r.all -= d.all & s; |
| 188 | + } |
| 189 | + q.all = (q.all << 1) | carry; |
| 190 | + if (rem) |
| 191 | + *rem = r.all; |
| 192 | + return q.all; |
| 193 | +} |
| 194 | + |
| 195 | +#endif // CRT_HAS_128BIT |
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