void gf_general_do_region_check(gf_t *gf, gf_general_t *a, void *orig_a, void *orig_target, void *final_target, int bytes, int xor) { gf_internal_t *h; int w, words, i; gf_general_t oa, ot, ft, sb; char sa[50], soa[50], sot[50], sft[50], ssb[50]; uint8_t *p; h = (gf_internal_t *) gf->scratch; w = h->w; words = (bytes * 8) / w; for (i = 0; i < words; i++) { if (w <= 32) { oa.w32 = gf->extract_word.w32(gf, orig_a, bytes, i); ot.w32 = gf->extract_word.w32(gf, orig_target, bytes, i); ft.w32 = gf->extract_word.w32(gf, final_target, bytes, i); sb.w32 = gf->multiply.w32(gf, a->w32, oa.w32); if (xor) sb.w32 ^= ot.w32; } else if (w <= 64) { oa.w64 = gf->extract_word.w64(gf, orig_a, bytes, i); ot.w64 = gf->extract_word.w64(gf, orig_target, bytes, i); ft.w64 = gf->extract_word.w64(gf, final_target, bytes, i); sb.w64 = gf->multiply.w64(gf, a->w64, oa.w64); if (xor) sb.w64 ^= ot.w64; } else { gf->extract_word.w128(gf, orig_a, bytes, i, oa.w128); gf->extract_word.w128(gf, orig_target, bytes, i, ot.w128); gf->extract_word.w128(gf, final_target, bytes, i, ft.w128); gf->multiply.w128(gf, a->w128, oa.w128, sb.w128); if (xor) { sb.w128[0] ^= ot.w128[0]; sb.w128[1] ^= ot.w128[1]; } } if (!gf_general_are_equal(&ft, &sb, w)) { fprintf(stderr,"Problem with region multiply (all values in hex):\n"); fprintf(stderr," Target address base: 0x%lx. Word 0x%x of 0x%x. Xor: %d\n", (unsigned long) final_target, i, words, xor); gf_general_val_to_s(a, w, sa, 1); gf_general_val_to_s(&oa, w, soa, 1); gf_general_val_to_s(&ot, w, sot, 1); gf_general_val_to_s(&ft, w, sft, 1); gf_general_val_to_s(&sb, w, ssb, 1); fprintf(stderr," Value: %s\n", sa); fprintf(stderr," Original source word: %s\n", soa); if (xor) fprintf(stderr," XOR with target word: %s\n", sot); fprintf(stderr," Product word: %s\n", sft); fprintf(stderr," It should be: %s\n", ssb); exit(0); } } }
int main(int argc, char **argv) { signal(SIGSEGV, SigHandler); int w, i, verbose, single, region, tested, top; int s_start, d_start, bytes, xor, alignment_test; gf_t gf, gf_def; time_t t0; gf_internal_t *h; gf_general_t *a, *b, *c, *d, *ai, *bi; uint8_t a8, b8, c8, *mult4, *div4, *mult8, *div8; uint16_t a16, b16, c16, d16, *log16, *alog16; char as[50], bs[50], cs[50], ds[50], ais[50], bis[50]; uint32_t mask; char *ra, *rb, *rc, *rd, *target; int align; if (argc < 4) usage(NULL); if (sscanf(argv[1], "%d", &w) == 0){ usage("Bad w\n"); } if (sscanf(argv[3], "%ld", &t0) == 0) usage("Bad seed\n"); if (t0 == -1) t0 = time(0); MOA_Seed(t0); if (w > 32 && w != 64 && w != 128) usage("Bad w"); if (create_gf_from_argv(&gf, w, argc, argv, 4) == 0) usage(BM); printf("Size (bytes): %d\n", gf_size(&gf)); for (i = 0; i < strlen(argv[2]); i++) { if (strchr("ASRV", argv[2][i]) == NULL) usage("Bad test\n"); } h = (gf_internal_t *) gf.scratch; a = (gf_general_t *) malloc(sizeof(gf_general_t)); b = (gf_general_t *) malloc(sizeof(gf_general_t)); c = (gf_general_t *) malloc(sizeof(gf_general_t)); d = (gf_general_t *) malloc(sizeof(gf_general_t)); ai = (gf_general_t *) malloc(sizeof(gf_general_t)); bi = (gf_general_t *) malloc(sizeof(gf_general_t)); //15 bytes extra to make sure it's 16byte aligned ra = (char *) malloc(sizeof(char)*REGION_SIZE+15); rb = (char *) malloc(sizeof(char)*REGION_SIZE+15); rc = (char *) malloc(sizeof(char)*REGION_SIZE+15); rd = (char *) malloc(sizeof(char)*REGION_SIZE+15); //this still assumes 8 byte aligned pointer from malloc //(which is usual on 32-bit machines) ra += (uint64_t)ra & 0xf; rb += (uint64_t)rb & 0xf; rc += (uint64_t)rc & 0xf; rd += (uint64_t)rd & 0xf; if (w <= 32) { mask = 0; for (i = 0; i < w; i++) mask |= (1 << i); } verbose = (strchr(argv[2], 'V') != NULL); single = (strchr(argv[2], 'S') != NULL || strchr(argv[2], 'A') != NULL); region = (strchr(argv[2], 'R') != NULL || strchr(argv[2], 'A') != NULL); if (!gf_init_hard(&gf_def, w, GF_MULT_DEFAULT, GF_REGION_DEFAULT, GF_DIVIDE_DEFAULT, (h->mult_type != GF_MULT_COMPOSITE) ? h->prim_poly : 0, 0, 0, NULL, NULL)) problem("No default for this value of w"); if (w == 4) { mult4 = gf_w4_get_mult_table(&gf); div4 = gf_w4_get_div_table(&gf); } if (w == 8) { mult8 = gf_w8_get_mult_table(&gf); div8 = gf_w8_get_div_table(&gf); } if (w == 16) { log16 = gf_w16_get_log_table(&gf); alog16 = gf_w16_get_mult_alog_table(&gf); } if (verbose) printf("Seed: %ld\n", t0); if (single) { if (gf.multiply.w32 == NULL) problem("No multiplication operation defined."); if (verbose) { printf("Testing single multiplications/divisions.\n"); fflush(stdout); } if (w <= 10) { top = (1 << w)*(1 << w); } else { top = 1024*1024; } for (i = 0; i < top; i++) { if (w <= 10) { a->w32 = i % (1 << w); b->w32 = (i >> w); //Allen: the following conditions were being run 10 times each. That didn't seem like nearly enough to //me for these special cases, so I converted to doing this mod stuff to easily make the number of times //run both larger and proportional to the total size of the run. } else { switch (i % 32) { case 0: gf_general_set_zero(a, w); gf_general_set_random(b, w, 1); break; case 1: gf_general_set_random(a, w, 1); gf_general_set_zero(b, w); break; case 2: gf_general_set_one(a, w); gf_general_set_random(b, w, 1); break; case 3: gf_general_set_random(a, w, 1); gf_general_set_one(b, w); break; default: gf_general_set_random(a, w, 1); gf_general_set_random(b, w, 1); } } //Allen: the following special cases for w=64 are based on the code below for w=128. //These w=64 cases are based on Dr. Plank's suggestion because some of the methods for w=64 //involve splitting it in two. I think they're less likely to give errors than the 128-bit case //though, because the 128 bit case is always split in two. //As with w=128, I'm arbitrarily deciding to do this sort of thing with a quarter of the cases if (w == 64) { switch (i % 32) { case 0: if (!gf_general_is_one(a, w)) a->w64 &= RMASK; break; case 1: if (!gf_general_is_one(a, w)) a->w64 &= LMASK; break; case 2: if (!gf_general_is_one(a, w)) a->w64 &= RMASK; if (!gf_general_is_one(b, w)) b->w64 &= RMASK; break; case 3: if (!gf_general_is_one(a, w)) a->w64 &= RMASK; if (!gf_general_is_one(b, w)) b->w64 &= LMASK; break; case 4: if (!gf_general_is_one(a, w)) a->w64 &= LMASK; if (!gf_general_is_one(b, w)) b->w64 &= RMASK; break; case 5: if (!gf_general_is_one(a, w)) a->w64 &= LMASK; if (!gf_general_is_one(b, w)) b->w64 &= LMASK; break; case 6: if (!gf_general_is_one(b, w)) b->w64 &= RMASK; break; case 7: if (!gf_general_is_one(b, w)) b->w64 &= LMASK; break; } } //Allen: for w=128, we have important special cases where one half or the other of the number is all //zeros. The probability of hitting such a number randomly is 1^-64, so if we don't force these cases //we'll probably never hit them. This could be implemented more efficiently by changing the set-random //function for w=128, but I think this is easier to follow. //I'm arbitrarily deciding to do this sort of thing with a quarter of the cases if (w == 128) { switch (i % 32) { case 0: if (!gf_general_is_one(a, w)) a->w128[0] = 0; break; case 1: if (!gf_general_is_one(a, w)) a->w128[1] = 0; break; case 2: if (!gf_general_is_one(a, w)) a->w128[0] = 0; if (!gf_general_is_one(b, w)) b->w128[0] = 0; break; case 3: if (!gf_general_is_one(a, w)) a->w128[0] = 0; if (!gf_general_is_one(b, w)) b->w128[1] = 0; break; case 4: if (!gf_general_is_one(a, w)) a->w128[1] = 0; if (!gf_general_is_one(b, w)) b->w128[0] = 0; break; case 5: if (!gf_general_is_one(a, w)) a->w128[1] = 0; if (!gf_general_is_one(b, w)) b->w128[1] = 0; break; case 6: if (!gf_general_is_one(b, w)) b->w128[0] = 0; break; case 7: if (!gf_general_is_one(b, w)) b->w128[1] = 0; break; } } tested = 0; gf_general_multiply(&gf, a, b, c); /* If w is 4, 8 or 16, then there are inline multiplication/division methods. Test them here. */ if (w == 4 && mult4 != NULL) { a8 = a->w32; b8 = b->w32; c8 = GF_W4_INLINE_MULTDIV(mult4, a8, b8); if (c8 != c->w32) { printf("Error in inline multiplication. %d * %d. Inline = %d. Default = %d.\n", a8, b8, c8, c->w32); exit(1); } } if (w == 8 && mult8 != NULL) { a8 = a->w32; b8 = b->w32; c8 = GF_W8_INLINE_MULTDIV(mult8, a8, b8); if (c8 != c->w32) { printf("Error in inline multiplication. %d * %d. Inline = %d. Default = %d.\n", a8, b8, c8, c->w32); exit(1); } } if (w == 16 && log16 != NULL) { a16 = a->w32; b16 = b->w32; c16 = GF_W16_INLINE_MULT(log16, alog16, a16, b16); if (c16 != c->w32) { printf("Error in inline multiplication. %d * %d. Inline = %d. Default = %d.\n", a16, b16, c16, c->w32); printf("%d %d\n", log16[a16], log16[b16]); top = log16[a16] + log16[b16]; printf("%d %d\n", top, alog16[top]); exit(1); } } /* If this is not composite, then first test against the default: */ if (h->mult_type != GF_MULT_COMPOSITE) { tested = 1; gf_general_multiply(&gf_def, a, b, d); if (!gf_general_are_equal(c, d, w)) { gf_general_val_to_s(a, w, as, 1); gf_general_val_to_s(b, w, bs, 1); gf_general_val_to_s(c, w, cs, 1); gf_general_val_to_s(d, w, ds, 1); printf("Error in single multiplication (all numbers in hex):\n\n"); printf(" gf.multiply(gf, %s, %s) = %s\n", as, bs, cs); printf(" The default gf multiplier returned %s\n", ds); exit(1); } } /* Now, we also need to double-check by other means, in case the default is wanky, and when we're performing composite operations. Start with 0 and 1, where we know what the result should be. */ if (gf_general_is_zero(a, w) || gf_general_is_zero(b, w) || gf_general_is_one(a, w) || gf_general_is_one(b, w)) { tested = 1; if (((gf_general_is_zero(a, w) || gf_general_is_zero(b, w)) && !gf_general_is_zero(c, w)) || (gf_general_is_one(a, w) && !gf_general_are_equal(b, c, w)) || (gf_general_is_one(b, w) && !gf_general_are_equal(a, c, w))) { gf_general_val_to_s(a, w, as, 1); gf_general_val_to_s(b, w, bs, 1); gf_general_val_to_s(c, w, cs, 1); printf("Error in single multiplication (all numbers in hex):\n\n"); printf(" gf.multiply(gf, %s, %s) = %s, which is clearly wrong.\n", as, bs, cs); ; exit(1); } } /* Dumb check to make sure that it's not returning numbers that are too big: */ if (w < 32 && (c->w32 & mask) != c->w32) { gf_general_val_to_s(a, w, as, 1); gf_general_val_to_s(b, w, bs, 1); gf_general_val_to_s(c, w, cs, 1); printf("Error in single multiplication (all numbers in hex):\n\n"); printf(" gf.multiply.w32(gf, %s, %s) = %s, which is too big.\n", as, bs, cs); exit(1); } /* Finally, let's check to see that multiplication and division work together */ if (!gf_general_is_zero(a, w)) { gf_general_divide(&gf, c, a, d); if (!gf_general_are_equal(b, d, w)) { gf_general_val_to_s(a, w, as, 1); gf_general_val_to_s(b, w, bs, 1); gf_general_val_to_s(c, w, cs, 1); gf_general_val_to_s(d, w, ds, 1); printf("Error in single multiplication/division (all numbers in hex):\n\n"); printf(" gf.multiply(gf, %s, %s) = %s, but gf.divide(gf, %s, %s) = %s\n", as, bs, cs, cs, as, ds); exit(1); } } }