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| 1 | +// SPDX-License-Identifier: GPL-2.0 |
| 2 | + |
| 3 | +/* |
| 4 | + * This program is free software; you can redistribute it and/or modify |
| 5 | + * it under the terms of the GNU General Public License as published by |
| 6 | + * the Free Software Foundation; either version 2 of the License, or |
| 7 | + * (at your option) any later version. |
| 8 | + * |
| 9 | + * This program is distributed in the hope that it will be useful, |
| 10 | + * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 11 | + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 12 | + * GNU General Public License for more details. |
| 13 | + * |
| 14 | + * You should have received a copy of the GNU General Public License |
| 15 | + * along with this program; if not, see the file COPYING, or write |
| 16 | + * to the Free Software Foundation, Inc. |
| 17 | + */ |
| 18 | + |
| 19 | +#include <linux/libgcc.h> |
| 20 | + |
| 21 | +#define count_leading_zeros(COUNT, X) ((COUNT) = __builtin_clz(X)) |
| 22 | + |
| 23 | +#define W_TYPE_SIZE 32 |
| 24 | + |
| 25 | +#define __ll_B ((unsigned long) 1 << (W_TYPE_SIZE / 2)) |
| 26 | +#define __ll_lowpart(t) ((unsigned long) (t) & (__ll_B - 1)) |
| 27 | +#define __ll_highpart(t) ((unsigned long) (t) >> (W_TYPE_SIZE / 2)) |
| 28 | + |
| 29 | +/* If we still don't have umul_ppmm, define it using plain C. */ |
| 30 | +#if !defined(umul_ppmm) |
| 31 | +#define umul_ppmm(w1, w0, u, v) \ |
| 32 | + do { \ |
| 33 | + unsigned long __x0, __x1, __x2, __x3; \ |
| 34 | + unsigned short __ul, __vl, __uh, __vh; \ |
| 35 | + \ |
| 36 | + __ul = __ll_lowpart(u); \ |
| 37 | + __uh = __ll_highpart(u); \ |
| 38 | + __vl = __ll_lowpart(v); \ |
| 39 | + __vh = __ll_highpart(v); \ |
| 40 | + \ |
| 41 | + __x0 = (unsigned long) __ul * __vl; \ |
| 42 | + __x1 = (unsigned long) __ul * __vh; \ |
| 43 | + __x2 = (unsigned long) __uh * __vl; \ |
| 44 | + __x3 = (unsigned long) __uh * __vh; \ |
| 45 | + \ |
| 46 | + __x1 += __ll_highpart(__x0); \ |
| 47 | + __x1 += __x2; \ |
| 48 | + if (__x1 < __x2) \ |
| 49 | + __x3 += __ll_B; \ |
| 50 | + \ |
| 51 | + (w1) = __x3 + __ll_highpart(__x1); \ |
| 52 | + (w0) = __ll_lowpart(__x1) * __ll_B + __ll_lowpart(__x0);\ |
| 53 | + } while (0) |
| 54 | +#endif |
| 55 | + |
| 56 | +#if !defined(sub_ddmmss) |
| 57 | +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ |
| 58 | + do { \ |
| 59 | + unsigned long __x; \ |
| 60 | + __x = (al) - (bl); \ |
| 61 | + (sh) = (ah) - (bh) - (__x > (al)); \ |
| 62 | + (sl) = __x; \ |
| 63 | + } while (0) |
| 64 | +#endif |
| 65 | + |
| 66 | +/* Define this unconditionally, so it can be used for debugging. */ |
| 67 | +#define __udiv_qrnnd_c(q, r, n1, n0, d) \ |
| 68 | + do { \ |
| 69 | + unsigned long __d1, __d0, __q1, __q0; \ |
| 70 | + unsigned long __r1, __r0, __m; \ |
| 71 | + __d1 = __ll_highpart(d); \ |
| 72 | + __d0 = __ll_lowpart(d); \ |
| 73 | + \ |
| 74 | + __r1 = (n1) % __d1; \ |
| 75 | + __q1 = (n1) / __d1; \ |
| 76 | + __m = (unsigned long) __q1 * __d0; \ |
| 77 | + __r1 = __r1 * __ll_B | __ll_highpart(n0); \ |
| 78 | + if (__r1 < __m) { \ |
| 79 | + __q1--, __r1 += (d); \ |
| 80 | + if (__r1 >= (d)) \ |
| 81 | + if (__r1 < __m) \ |
| 82 | + __q1--, __r1 += (d); \ |
| 83 | + } \ |
| 84 | + __r1 -= __m; \ |
| 85 | + \ |
| 86 | + __r0 = __r1 % __d1; \ |
| 87 | + __q0 = __r1 / __d1; \ |
| 88 | + __m = (unsigned long) __q0 * __d0; \ |
| 89 | + __r0 = __r0 * __ll_B | __ll_lowpart(n0); \ |
| 90 | + if (__r0 < __m) { \ |
| 91 | + __q0--, __r0 += (d); \ |
| 92 | + if (__r0 >= (d)) \ |
| 93 | + if (__r0 < __m) \ |
| 94 | + __q0--, __r0 += (d); \ |
| 95 | + } \ |
| 96 | + __r0 -= __m; \ |
| 97 | + \ |
| 98 | + (q) = (unsigned long) __q1 * __ll_B | __q0; \ |
| 99 | + (r) = __r0; \ |
| 100 | + } while (0) |
| 101 | + |
| 102 | +/* If udiv_qrnnd was not defined for this processor, use __udiv_qrnnd_c. */ |
| 103 | +#if !defined(udiv_qrnnd) |
| 104 | +#define UDIV_NEEDS_NORMALIZATION 1 |
| 105 | +#define udiv_qrnnd __udiv_qrnnd_c |
| 106 | +#endif |
| 107 | + |
| 108 | +unsigned long long __udivmoddi4(unsigned long long u, unsigned long long v, |
| 109 | + unsigned long long *rp) |
| 110 | +{ |
| 111 | + const DWunion nn = {.ll = u }; |
| 112 | + const DWunion dd = {.ll = v }; |
| 113 | + DWunion rr, ww; |
| 114 | + unsigned long d0, d1, n0, n1, n2; |
| 115 | + unsigned long q0 = 0, q1 = 0; |
| 116 | + unsigned long b, bm; |
| 117 | + |
| 118 | + d0 = dd.s.low; |
| 119 | + d1 = dd.s.high; |
| 120 | + n0 = nn.s.low; |
| 121 | + n1 = nn.s.high; |
| 122 | + |
| 123 | +#if !UDIV_NEEDS_NORMALIZATION |
| 124 | + |
| 125 | + if (d1 == 0) { |
| 126 | + if (d0 > n1) { |
| 127 | + /* 0q = nn / 0D */ |
| 128 | + |
| 129 | + udiv_qrnnd(q0, n0, n1, n0, d0); |
| 130 | + q1 = 0; |
| 131 | + |
| 132 | + /* Remainder in n0. */ |
| 133 | + } else { |
| 134 | + /* qq = NN / 0d */ |
| 135 | + |
| 136 | + if (d0 == 0) |
| 137 | + /* Divide intentionally by zero. */ |
| 138 | + d0 = 1 / d0; |
| 139 | + |
| 140 | + udiv_qrnnd(q1, n1, 0, n1, d0); |
| 141 | + udiv_qrnnd(q0, n0, n1, n0, d0); |
| 142 | + |
| 143 | + /* Remainder in n0. */ |
| 144 | + } |
| 145 | + |
| 146 | + if (rp != 0) { |
| 147 | + rr.s.low = n0; |
| 148 | + rr.s.high = 0; |
| 149 | + *rp = rr.ll; |
| 150 | + } |
| 151 | + |
| 152 | +#else /* UDIV_NEEDS_NORMALIZATION */ |
| 153 | + |
| 154 | + if (d1 == 0) { |
| 155 | + if (d0 > n1) { |
| 156 | + /* 0q = nn / 0D */ |
| 157 | + |
| 158 | + count_leading_zeros(bm, d0); |
| 159 | + |
| 160 | + if (bm != 0) { |
| 161 | + /* |
| 162 | + * Normalize, i.e. make the most significant bit |
| 163 | + * of the denominator set. |
| 164 | + */ |
| 165 | + |
| 166 | + d0 = d0 << bm; |
| 167 | + n1 = (n1 << bm) | (n0 >> (W_TYPE_SIZE - bm)); |
| 168 | + n0 = n0 << bm; |
| 169 | + } |
| 170 | + |
| 171 | + udiv_qrnnd(q0, n0, n1, n0, d0); |
| 172 | + q1 = 0; |
| 173 | + |
| 174 | + /* Remainder in n0 >> bm. */ |
| 175 | + } else { |
| 176 | + /* qq = NN / 0d */ |
| 177 | + |
| 178 | + if (d0 == 0) |
| 179 | + /* Divide intentionally by zero. */ |
| 180 | + d0 = 1 / d0; |
| 181 | + |
| 182 | + count_leading_zeros(bm, d0); |
| 183 | + |
| 184 | + if (bm == 0) { |
| 185 | + /* |
| 186 | + * From (n1 >= d0) /\ (the most significant bit |
| 187 | + * of d0 is set), conclude (the most significant |
| 188 | + * bit of n1 is set) /\ (theleading quotient |
| 189 | + * digit q1 = 1). |
| 190 | + * |
| 191 | + * This special case is necessary, not an |
| 192 | + * optimization. (Shifts counts of W_TYPE_SIZE |
| 193 | + * are undefined.) |
| 194 | + */ |
| 195 | + |
| 196 | + n1 -= d0; |
| 197 | + q1 = 1; |
| 198 | + } else { |
| 199 | + /* Normalize. */ |
| 200 | + |
| 201 | + b = W_TYPE_SIZE - bm; |
| 202 | + |
| 203 | + d0 = d0 << bm; |
| 204 | + n2 = n1 >> b; |
| 205 | + n1 = (n1 << bm) | (n0 >> b); |
| 206 | + n0 = n0 << bm; |
| 207 | + |
| 208 | + udiv_qrnnd(q1, n1, n2, n1, d0); |
| 209 | + } |
| 210 | + |
| 211 | + /* n1 != d0... */ |
| 212 | + |
| 213 | + udiv_qrnnd(q0, n0, n1, n0, d0); |
| 214 | + |
| 215 | + /* Remainder in n0 >> bm. */ |
| 216 | + } |
| 217 | + |
| 218 | + if (rp != 0) { |
| 219 | + rr.s.low = n0 >> bm; |
| 220 | + rr.s.high = 0; |
| 221 | + *rp = rr.ll; |
| 222 | + } |
| 223 | + |
| 224 | +#endif /* UDIV_NEEDS_NORMALIZATION */ |
| 225 | + |
| 226 | + } else { |
| 227 | + if (d1 > n1) { |
| 228 | + /* 00 = nn / DD */ |
| 229 | + |
| 230 | + q0 = 0; |
| 231 | + q1 = 0; |
| 232 | + |
| 233 | + /* Remainder in n1n0. */ |
| 234 | + if (rp != 0) { |
| 235 | + rr.s.low = n0; |
| 236 | + rr.s.high = n1; |
| 237 | + *rp = rr.ll; |
| 238 | + } |
| 239 | + } else { |
| 240 | + /* 0q = NN / dd */ |
| 241 | + |
| 242 | + count_leading_zeros(bm, d1); |
| 243 | + if (bm == 0) { |
| 244 | + /* |
| 245 | + * From (n1 >= d1) /\ (the most significant bit |
| 246 | + * of d1 is set), conclude (the most significant |
| 247 | + * bit of n1 is set) /\ (the quotient digit q0 = |
| 248 | + * 0 or 1). |
| 249 | + * |
| 250 | + * This special case is necessary, not an |
| 251 | + * optimization. |
| 252 | + */ |
| 253 | + |
| 254 | + /* |
| 255 | + * The condition on the next line takes |
| 256 | + * advantage of that n1 >= d1 (true due to |
| 257 | + * program flow). |
| 258 | + */ |
| 259 | + if (n1 > d1 || n0 >= d0) { |
| 260 | + q0 = 1; |
| 261 | + sub_ddmmss(n1, n0, n1, n0, d1, d0); |
| 262 | + } else { |
| 263 | + q0 = 0; |
| 264 | + } |
| 265 | + |
| 266 | + q1 = 0; |
| 267 | + |
| 268 | + if (rp != 0) { |
| 269 | + rr.s.low = n0; |
| 270 | + rr.s.high = n1; |
| 271 | + *rp = rr.ll; |
| 272 | + } |
| 273 | + } else { |
| 274 | + unsigned long m1, m0; |
| 275 | + /* Normalize. */ |
| 276 | + |
| 277 | + b = W_TYPE_SIZE - bm; |
| 278 | + |
| 279 | + d1 = (d1 << bm) | (d0 >> b); |
| 280 | + d0 = d0 << bm; |
| 281 | + n2 = n1 >> b; |
| 282 | + n1 = (n1 << bm) | (n0 >> b); |
| 283 | + n0 = n0 << bm; |
| 284 | + |
| 285 | + udiv_qrnnd(q0, n1, n2, n1, d1); |
| 286 | + umul_ppmm(m1, m0, q0, d0); |
| 287 | + |
| 288 | + if (m1 > n1 || (m1 == n1 && m0 > n0)) { |
| 289 | + q0--; |
| 290 | + sub_ddmmss(m1, m0, m1, m0, d1, d0); |
| 291 | + } |
| 292 | + |
| 293 | + q1 = 0; |
| 294 | + |
| 295 | + /* Remainder in (n1n0 - m1m0) >> bm. */ |
| 296 | + if (rp != 0) { |
| 297 | + sub_ddmmss(n1, n0, n1, n0, m1, m0); |
| 298 | + rr.s.low = (n1 << b) | (n0 >> bm); |
| 299 | + rr.s.high = n1 >> bm; |
| 300 | + *rp = rr.ll; |
| 301 | + } |
| 302 | + } |
| 303 | + } |
| 304 | + } |
| 305 | + |
| 306 | + ww.s.low = q0; |
| 307 | + ww.s.high = q1; |
| 308 | + |
| 309 | + return ww.ll; |
| 310 | +} |
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