/* * gf_unit.c * * Performs unit testing for gf arithmetic */ #include #include #include #include #include #include #include "gf.h" #include "gf_int.h" #include "gf_method.h" #include "gf_rand.h" #include "gf_general.h" #define REGION_SIZE (16384) void problem(char *s) { fprintf(stderr, "Unit test failed.\n"); fprintf(stderr, "%s\n", s); exit(1); } void usage(char *s) { fprintf(stderr, "usage: gf_unit w tests seed [method] - does unit testing in GF(2^w)\n"); fprintf(stderr, "\n"); fprintf(stderr, "Legal w are: 1 - 32, 64 and 128\n"); fprintf(stderr, "\n"); fprintf(stderr, "Tests may be any combination of:\n"); fprintf(stderr, " A: All\n"); fprintf(stderr, " S: Single operations (multiplication/division)\n"); fprintf(stderr, " R: Region operations\n"); fprintf(stderr, " V: Verbose Output\n"); fprintf(stderr, "\n"); fprintf(stderr, "Use -1 for time(0) as a seed.\n"); fprintf(stderr, "\n"); fprintf(stderr, "For method specification, type gf_methods\n"); fprintf(stderr, "\n"); if (s != NULL) fprintf(stderr, "%s\n", s); exit(1); } int main(int argc, char **argv) { int w, i, verbose, single, region, tested, top; int start, end, xor; gf_t gf, gf_def; time_t t0; gf_internal_t *h; gf_general_t *a, *b, *c, *d, *ai, *bi; 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("Bad Method"); 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)); ra = (char *) malloc(sizeof(char)*REGION_SIZE); rb = (char *) malloc(sizeof(char)*REGION_SIZE); rc = (char *) malloc(sizeof(char)*REGION_SIZE); rd = (char *) malloc(sizeof(char)*REGION_SIZE); 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_easy(&gf_def, w, GF_MULT_DEFAULT)) problem("No default for this value of w"); 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); } else if (i < 10) { gf_general_set_zero(a, w); gf_general_set_random(b, w, 1); } else if (i < 20) { gf_general_set_random(a, w, 1); gf_general_set_zero(b, w); } else if (i < 30) { gf_general_set_one(a, w); gf_general_set_random(b, w, 1); } else if (i < 40) { gf_general_set_random(a, w, 1); gf_general_set_one(b, w); } else { gf_general_set_random(a, w, 1); gf_general_set_random(b, w, 1); } tested = 0; gf_general_multiply(&gf, a, b, c); /* 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); gf_general_val_to_s(b, w, bs); gf_general_val_to_s(c, w, cs); gf_general_val_to_s(d, w, ds); 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); gf_general_val_to_s(b, w, bs); gf_general_val_to_s(c, w, cs); 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); gf_general_val_to_s(b, w, bs); gf_general_val_to_s(c, w, cs); 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); } } } if (region) { if (verbose) { printf("Testing region multiplications\n"); fflush(stdout); } for (i = 0; i < 1000; i++) { if (i < 20) { gf_general_set_zero(a, w); } else if (i < 40) { gf_general_set_one(a, w); } else { gf_general_set_random(a, w, 1); } MOA_Fill_Random_Region(ra, REGION_SIZE); MOA_Fill_Random_Region(rb, REGION_SIZE); xor = i%2; align = w/8; if (align == 0) align = 1; if (align > 16) align = 16; if ((h->region_type & GF_REGION_CAUCHY) || (w < 32 && w != 4 && w != 8 && w != 16)) { start = MOA_Random_W(5, 1); end = REGION_SIZE - MOA_Random_W(5, 1); target = rb; while ((end-start)%w != 0) end--; } else { start = MOA_Random_W(5, 1) * align; end = REGION_SIZE - (MOA_Random_W(5, 1) * align); if (h->mult_type == GF_MULT_COMPOSITE && (h->region_type & GF_REGION_ALTMAP)) { target = rb ; } else { target = ((i%4)/2) ? rb : ra; } } memcpy(rc, ra, REGION_SIZE); memcpy(rd, target, REGION_SIZE); gf_general_do_region_multiply(&gf, a, ra+start, target+start, end-start, xor); gf_general_do_region_check(&gf, a, rc+start, rd+start, target+start, end-start, xor); } } }