/* * GF-Complete: A Comprehensive Open Source Library for Galois Field Arithmetic * James S. Plank, Ethan L. Miller, Kevin M. Greenan, * Benjamin A. Arnold, John A. Burnum, Adam W. Disney, Allen C. McBride. * * gf_example_2.c * * Demonstrates using the procedures for examples in GF(2^w) for w <= 32. */ #include #include #include #include #include #include #include "gf_complete.h" #include "gf_rand.h" void usage(char *s) { fprintf(stderr, "usage: gf_example_2 w - w must be between 1 and 32\n"); exit(1); } int main(int argc, char **argv) { uint32_t a, b, c; uint8_t *r1, *r2; uint16_t *r16 = NULL; uint32_t *r32 = NULL; int w, i; gf_t gf; if (argc != 2) usage(NULL); w = atoi(argv[1]); if (w <= 0 || w > 32) usage("Bad w"); /* Get two random numbers in a and b */ MOA_Seed(time(0)); a = MOA_Random_W(w, 0); b = MOA_Random_W(w, 0); /* Create the proper instance of the gf_t object using defaults: */ gf_init_easy(&gf, w); /* And multiply a and b using the galois field: */ c = gf.multiply.w32(&gf, a, b); printf("%u * %u = %u\n", a, b, c); /* Divide the product by a and b */ printf("%u / %u = %u\n", c, a, gf.divide.w32(&gf, c, a)); printf("%u / %u = %u\n", c, b, gf.divide.w32(&gf, c, b)); /* If w is 4, 8, 16 or 32, do a very small region operation */ if (w == 4 || w == 8 || w == 16 || w == 32) { r1 = (uint8_t *) malloc(16); r2 = (uint8_t *) malloc(16); if (w == 4 || w == 8) { r1[0] = b; for (i = 1; i < 16; i++) r1[i] = MOA_Random_W(8, 1); } else if (w == 16) { r16 = (uint16_t *) r1; r16[0] = b; for (i = 1; i < 8; i++) r16[i] = MOA_Random_W(16, 1); } else { r32 = (uint32_t *) r1; r32[0] = b; for (i = 1; i < 4; i++) r32[i] = MOA_Random_W(32, 1); } gf.multiply_region.w32(&gf, r1, r2, a, 16, 0); printf("\nmultiply_region by 0x%x (%u)\n\n", a, a); printf("R1 (the source): "); if (w == 4) { for (i = 0; i < 16; i++) printf(" %x %x", r1[i] >> 4, r1[i] & 0xf); } else if (w == 8) { for (i = 0; i < 16; i++) printf(" %02x", r1[i]); } else if (w == 16) { for (i = 0; i < 8; i++) printf(" %04x", r16[i]); } else if (w == 32) { for (i = 0; i < 4; i++) printf(" %08x", r32[i]); } printf("\nR2 (the product): "); if (w == 4) { for (i = 0; i < 16; i++) printf(" %x %x", r2[i] >> 4, r2[i] & 0xf); } else if (w == 8) { for (i = 0; i < 16; i++) printf(" %02x", r2[i]); } else if (w == 16) { r16 = (uint16_t *) r2; for (i = 0; i < 8; i++) printf(" %04x", r16[i]); } else if (w == 32) { r32 = (uint32_t *) r2; for (i = 0; i < 4; i++) printf(" %08x", r32[i]); } printf("\n"); } exit(0); }