#include "rsa.h" void bigint_set_random_bytes(bigint_t n) { int fd = open("/dev/urandom", O_RDONLY); read(fd, n.data, n.len * sizeof(uint32_t)); close(fd); } void bigint_set_msb_and_lsb_to_one(bigint_t n) { n.data[0] |= 1; n.data[n.len - 1] |= 1 << 31; } void bigint_bitwise_right_shift(bigint_t n) { size_t size = sizeof(uint32_t) * 8 - 1; for (size_t i = 0; i < n.len - 1; i++) { n.data[i] = n.data[i] >> 1 | (n.data[i + 1] & 1) << size; } n.data[n.len - 1] >>= 1; } void bigint_bitwise_left_shift(bigint_t n) { size_t size = sizeof(uint32_t) * 8 - 1; for (int i = n.len - 1; i > 0; i--) { n.data[i] = n.data[i] << 1 | ((n.data[i - 1] & (1 << size)) >> size); } n.data[0] <<= 1; } bigint_t assignable_bigint_bitwise_left_shift(bigint_t n) { bigint_t result = bigint_clone(n); size_t size = sizeof(uint32_t) * 8 - 1; for (int i = result.len - 1; i > 0; i--) { result.data[i] = result.data[i] << 1 | ((result.data[i - 1] & (1 << size)) >> size); } result.data[0] <<= 1; return result; } // Will underflow void bigint_decrement(bigint_t n) { size_t cursor = 0; size_t size = sizeof(uint32_t) * 8; while (cursor < size * n.len) { n.data[cursor / size] = n.data[cursor / size] ^ (1 << (cursor % size)); if (((n.data[cursor / size] >> (cursor % size)) & 1) == 0) { return; } cursor += 1; } } // TODO refactor/clean assume same length ? int bigint_cmp(bigint_t a, bigint_t b) { uint32_t size = sizeof(uint32_t) * 8; uint32_t acursor = size * a.len - 1; uint32_t bcursor = size * b.len - 1; printf("cursors a and b %d %d\n", acursor, bcursor); while (acursor > bcursor) { if (a.data[acursor / size] & (1 << acursor % size)) { return 1; } acursor -= 1; } while (bcursor > acursor) { if (b.data[bcursor / size] & (1 << bcursor % size)) { return -1; } bcursor -= 1; } int cursor = acursor; while (cursor >= 0) { uint32_t abit = a.data[cursor / size] & (1 << (cursor % size)); uint32_t bbit = b.data[cursor / size] & (1 << (cursor % size)); //printf("cursor %d abit %ud bbit %ud\n", cursor, abit, bbit); if (abit > bbit) { return 1; } if (bbit > abit) { return -1; } cursor -= 1; } return 0; } bigint_t assignable_bigint_substraction(bigint_t a, bigint_t b) { if (a.len != b.len) { printf("error: attempting to substract numbers of different length\n"); exit(1); } bigint_t result = bigint_clone(a); bigint_t borrow = bigint_clone(b); bigint_t y = bigint_clone(b); bigint_t zero = bigint_zero(a.len); while (bigint_cmp(borrow, zero)) { for (size_t i = 0; i < a.len; i++) { borrow.data[i] = ~result.data[i] & y.data[i]; result.data[i] = result.data[i] ^ y.data[i]; } bigint_destroy(y); y = assignable_bigint_bitwise_left_shift(borrow); } bigint_destroy(y); bigint_destroy(borrow); bigint_destroy(zero); return result; } void bigint_substraction(bigint_t a, bigint_t b) { if (a.len != b.len) { printf("error: attempting to substract numbers of different length\n"); exit(1); } bigint_t borrow = bigint_clone(b); bigint_t y = bigint_clone(b); bigint_t zero = bigint_zero(a.len); while (bigint_cmp(borrow, zero)) { for (size_t i = 0; i < a.len; i++) { borrow.data[i] = ~a.data[i] & y.data[i]; a.data[i] = a.data[i] ^ y.data[i]; } bigint_destroy(y); y = assignable_bigint_bitwise_left_shift(borrow); } bigint_destroy(y); bigint_destroy(borrow); bigint_destroy(zero); } bigint_t assignable_bigint_modulo(bigint_t a, bigint_t b) { bigint_t result = bigint_clone(a); bigint_t mod = bigint_clone(b); printf("a = %ud\nb = %ud\nresult = %ud\nmod = %ud\n", a.data[0], b.data[0], result.data[0], mod.data[0]); if (bigint_cmp(result, b) == -1) { bigint_destroy(mod); return result; } bigint_bitwise_left_shift(mod); printf("after bitwise_shift\na = %ud\nb = %ud\nresult = %ud\nmod = %ud\n", a.data[0], b.data[0], result.data[0], mod.data[0]); while (bigint_cmp(b, mod) == -1) { while (bigint_cmp(result, mod) == 1) { bigint_bitwise_left_shift(mod); printf("DOUBLE after bitwise_shift\na = %ud\nb = %ud\nresult = %ud\nmod = %ud\n", a.data[0], b.data[0], result.data[0], mod.data[0]); } bigint_bitwise_right_shift(mod); printf("before sub \na = %ud\nb = %ud\nresult = %ud\nmod = %ud\n", a.data[0], b.data[0], result.data[0], mod.data[0]); if (bigint_cmp(result, mod) == 1) { bigint_substraction(result, mod); printf("subbed\na = %ud\nb = %ud\nresult = %ud\nmod = %ud\n", a.data[0], b.data[0], result.data[0], mod.data[0]); } bigint_bitwise_right_shift(mod); } while (bigint_cmp(result, b) == 1) { bigint_substraction(result, b); printf("subbed\na = %ud\nb = %ud\nresult = %ud\nmod = %ud\n", a.data[0], b.data[0], result.data[0], mod.data[0]); } return result; } void bigint_print(bigint_t n) { for (int i = n.len - 1; i >= 0; i--) { printf("bigint %ud\n", n.data[i]); } } bigint_t bigint_clone(bigint_t src) { bigint_t dst; dst.len = src.len; dst.data = (uint32_t *)protected_malloc(src.len * sizeof(uint32_t)); memcpy(dst.data, src.data, src.len * sizeof(uint32_t)); return dst; } bigint_t bigint_prime(size_t len) { bigint_t n = bigint_new(len); printf("new\n"); bigint_print(n); bigint_set_random_bytes(n); printf("random bytes\n"); bigint_print(n); bigint_set_msb_and_lsb_to_one(n); printf("msb and lsb set to tone\n"); bigint_print(n); bigint_t d = bigint_clone(n); d.data[0] -= 1; uint32_t s = 0; while (!d.data[0] & 1) { bigint_bitwise_right_shift(d); s += 1; } bigint_t two = bigint_zero(len); two.data[0] = 2; bigint_t n_minus_two = bigint_clone(d); bigint_decrement(n_minus_two); for (uint32_t k = 0; k < 128; k++) { bigint_t a = bigint_zero(len); while (bigint_cmp(a, two) == -1 || bigint_cmp(a, n_minus_two) == 1) { printf("this is good %d\n", k); bigint_set_random_bytes(a); } bigint_destroy(a); } return n; } bigint_t bigint_new(size_t len) { bigint_t bigint; bigint.len = len; bigint.data = (uint32_t *)protected_malloc(len * sizeof(uint32_t)); return bigint; } bigint_t bigint_zero(size_t len) { bigint_t bigint; bigint = bigint_new(len); for (size_t i = 0; i < len; i++) { bigint.data[i] = 0; } return bigint; } void bigint_destroy(bigint_t n) { free(n.data); n.data = NULL; }