DF-5580 / df5580_diff.c
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 | /* * DF-5580 differential harness for sys/platform/pc64/x86_64/__udivti3.c * * Compiles the EXACT kernel source (unmodified, #include'd below) with the * same gcc that built the kernel (GCC 8.3 [DragonFly]) and checks every * vector against native unsigned __int128 hardware division. * * Batteries: * E edge battery - cross product of ~230 interesting operands * X exhaustive small - all (n,d) pairs in [0,2048)^2 (4.19M) * S sr==64 boundary - vectors pinned to shift-register == 64 +/- 4 * (the exact UB shift-count boundary) * R random - biased-random 128-bit pairs (default 2^31) * * Checks both quotient (__udivti3) and remainder (static __udivmodti4), * reachable because we include the .c directly. * * Exit 0 = all vectors match. Exit 1 = mismatch (printed). */ #include <stdio.h> #include <stdlib.h> #include <string.h> #include <stdint.h> #include <inttypes.h> #include <time.h> typedef __int128 _int128_t; /* match machine/stdint.h */ typedef unsigned __int128 _uint128_t; #include "__udivti3.c" /* the kernel source, verbatim */ static uint64_t total, mism; static int64_t badn_a, badd_a; /* first mismatch, for the report */ static void chk(_uint128_t n, _uint128_t d, const char *battery) { _uint128_t q1, r1, qe, re; qe = n / d; /* hardware reference */ re = n % d; q1 = __udivti3(n, d); r1 = 0; (void)__udivmodti4(n, d, &r1); total++; if (q1 != qe || r1 != re) { unsigned long long nh = (unsigned long long)(n >> 64), nl = (unsigned long long)n, dh = (unsigned long long)(d >> 64), dl = (unsigned long long)d; if (mism < 8) { printf("MISMATCH[%s] n=%016llx%016llx d=%016llx%016llx " "got q=%016llx%016llx r=%016llx%016llx " "want q=%016llx%016llx r=%016llx%016llx\n", battery, nh, nl, dh, dl, (unsigned long long)(q1 >> 64), (unsigned long long)q1, (unsigned long long)(r1 >> 64), (unsigned long long)r1, (unsigned long long)(qe >> 64), (unsigned long long)qe, (unsigned long long)(re >> 64), (unsigned long long)re); } if (mism == 0) { badn_a = (int64_t)nl; badd_a = (int64_t)dl; } mism++; } } /* ---- interesting-value set for the edge battery ---- */ static int build_set(_uint128_t *s, int max) { int k, i = 0; uint64_t v[64] = {0, 1, 2, 3, 4, 5, 6, 7, 15, 16, 17, 31, 32, 33, 62, 63, 64, 65, 127, 128, 129, 255, 256, 257, 1023, 1024, 1025, 0xffff, 0x10000, 0x10001, 0x7fffffff, 0x80000000, 0x80000001, 0xfffffffe, 0xffffffff}; int nv = 38; for (k = 0; k < nv && i < max; k++) { s[i++] = v[k]; /* small values */ s[i++] = ((_uint128_t)v[k]) << 64; /* in the high half */ s[i++] = (((_uint128_t)v[k]) << 64) | v[k]; s[i++] = ~(_uint128_t)0 - v[k]; } for (k = 0; k < 64 && i < max; k++) { /* every 2^k and 2^k +/- 1 */ uint64_t b = (k >= 64) ? 0 : ((uint64_t)1 << k); s[i++] = b; s[i++] = b + 1; s[i++] = b - 1; s[i++] = ((_uint128_t)b) << 64; s[i++] = (((_uint128_t)b) << 64) + 1; s[i++] = (((_uint128_t)b) << 64) - 1; } s[i++] = ~(_uint128_t)0; /* 128-bit all ones */ s[i++] = ~(_uint128_t)0 - 1; s[i++] = (_uint128_t)1 << 127; return i; } static void battery_edge(void) { static _uint128_t s[1024]; int n = build_set(s, 1024); int a, b; for (a = 0; a < n; a++) for (b = 0; b < n; b++) { if (s[b] == 0) continue; /* caller contract: divisor != 0 */ chk(s[a], s[b], "E"); } printf("E edge cross-product: %d x %d operands\n", n, n); } static void battery_exhaustive(uint64_t lim) { uint64_t a, b; for (a = 0; a < lim; a++) for (b = 1; b < lim; b++) chk(a, b, "X"); printf("X exhaustive [0,%llu)^2\n", (unsigned long long)lim); } /* * Pin sr to exactly 64 (and +/- 4) for the d.s.high==0, d.s.low non-pow2 * path: sr = 1 + 64 + clz(d.lo) - clz(n.hi) => clz(n.hi) = clz(d.lo)+1-sr+64. * We brute-force small n.hi/d.lo pairs whose clz difference hits the target. */ static int clz64(uint64_t x) { return x ? __builtin_clzl(x) : 64; } static void battery_sr64(void) { uint64_t nh, dl, nl; _uint128_t n, d; int c, hits = 0; for (c = 57; c <= 69; c++) { /* target sr value */ for (nh = 1; nh < (1ULL << 20); nh++) { for (dl = 3; dl < 4096; dl += 2) { /* odd: never pow2 */ if (dl && (dl & (dl - 1)) == 0) continue; if (nh == 0 || (nh & (nh - 1)) == 0) continue; /* n.hi pow2 is fine, keep anyway */ if ((int)(1 + 64 + clz64(dl) - clz64(nh)) != c) continue; nl = 0xdeadbeefcafebabeULL; n = ((_uint128_t)nh << 64) | nl; d = dl; /* dh == 0 */ chk(n, d, "S"); hits++; if (hits > 40000) return; } } } printf("S sr-boundary vectors: %d\n", hits); } /* xorshift128+ */ static uint64_t rs0, rs1; static uint64_t rnd64(void) { uint64_t x = rs0, y = rs1; rs0 = y; x ^= x << 23; rs1 = x ^ y ^ (x >> 17) ^ (y >> 26); return rs1 + y; } static _uint128_t mask_to_len(_uint128_t v, int bits) { if (bits <= 0) return 0; if (bits >= 128) return v; return v & (((_uint128_t)1 << bits) - 1); } static void battery_random(uint64_t count, uint64_t seed0, uint64_t seed1) { uint64_t i; uint64_t t0 = time(NULL); rs0 = seed0 ^ 0x9E3779B97F4A7C15ULL; rs1 = seed1 ^ 0xBF58476D1CE4E5B9ULL; if (!rs0) rs0 = 1; for (i = 0; i < count; i++) { _uint128_t n, d; int nb, db; uint64_t u = rnd64(); if ((u & 15) == 0) { /* 1/16 fully uniform */ n = ((_uint128_t)rnd64() << 64) | rnd64(); d = ((_uint128_t)rnd64() << 64) | rnd64(); } else { db = 1 + (int)(rnd64() % 128); if ((u >> 8) & 1) nb = db - 2 + (int)(rnd64() % 5); /* near db */ else nb = (int)(rnd64() % 129); if (nb < 0) nb = 0; if (nb > 128) nb = 128; n = mask_to_len(((_uint128_t)rnd64() << 64) | rnd64(), nb); d = mask_to_len(((_uint128_t)rnd64() << 64) | rnd64(), db); if (d == 0) d = 1; } if (d == 0) continue; /* caller contract */ chk(n, d, "R"); if ((i & 0xFFFFFFF) == 0xFFFFFFF) fprintf(stderr, " ... %llu/%llu (%.0f vec/s)\n", (unsigned long long)i, (unsigned long long)count, (double)i / (double)(time(NULL) - t0 + 1)); } printf("R random vectors: %llu (seeds %llx:%llx)\n", (unsigned long long)count, (unsigned long long)seed0, (unsigned long long)seed1); } int main(int argc, char **argv) { uint64_t rcnt = 1ULL << 31; uint64_t seed0 = 0x243F6A8885A308D3ULL, seed1 = 0x13198A2E03707344ULL; int only_edge = 0; if (argc > 1 && strcmp(argv[1], "-e") == 0) only_edge = 1; if (argc > 2) rcnt = strtoull(argv[2], NULL, 0); if (argc > 4) { seed0 = strtoull(argv[3], NULL, 0); seed1 = strtoull(argv[4], NULL, 0); } printf("DF-5580 differential: kernel __udivti3.c vs native __int128\n"); battery_edge(); if (!only_edge) { battery_exhaustive(2048); battery_sr64(); battery_random(rcnt, seed0, seed1); } printf("TOTAL checked=%llu mismatches=%llu\n", (unsigned long long)total, (unsigned long long)mism); printf("%s\n", mism == 0 ? "PASS: all vectors match hardware division" : "FAIL: mismatch against hardware division"); return mism == 0 ? 0 : 1; } |