/* See LICENSE file for copyright and license details. */ #include "common.h" #ifndef TEST extern inline void libj2_j2i_add_ji(struct libj2_j2i *a, intmax_t b); #else static uintmax_t random_ju(void) { size_t n = LIBJ2_JU_BIT; uintmax_t r = 0; while (n--) if (rand() < rand()) r |= (uintmax_t)1 << n; return r; } static void self_check(uintmax_t a_high, uintmax_t a_low, uintmax_t b_high, uintmax_t b_low, uintmax_t r_high, uintmax_t r_low, int r_overflow) { uintmax_t a_neg = a_high >> (LIBJ2_JU_BIT - 1U); uintmax_t b_neg = b_high >> (LIBJ2_JU_BIT - 1U); uintmax_t carry = 0; unsigned i; int overflow; for (i = 0; i < LIBJ2_JU_BIT; i++) { carry += (a_low >> i) & 1U; carry += (b_low >> i) & 1U; EXPECT((carry & 1U) == ((r_low >> i) & 1U)); carry >>= 1; } for (i = 0; i < LIBJ2_JU_BIT - 1U; i++) { carry += (a_high >> i) & 1U; carry += (b_high >> i) & 1U; EXPECT((carry & 1U) == ((r_high >> i) & 1U)); carry >>= 1; } carry += (a_high >> i) & 1U; carry += (b_high >> i) & 1U; r_high |= (carry & 1U) << i; carry >>= 1; if (a_neg) carry ^= 1U; if (a_neg ^ b_neg) overflow = 0; else if (a_neg) overflow = -!(r_high >> (LIBJ2_JU_BIT - 1U)); else overflow = !!(r_high >> (LIBJ2_JU_BIT - 1U)); EXPECT(r_overflow == overflow); } static void check(uintmax_t a_high, uintmax_t a_low, uintmax_t ub) { intmax_t b = ub > (uintmax_t)INTMAX_MAX ? (intmax_t)ub : -(intmax_t)~ub - 1; struct libj2_j2i a, r; uintmax_t expected_high, expected_low; int expected_overflow; #if INTMAX_MIN + 1 != -INTMAX_MAX if (ub == ~(UINTMAX_MAX >> 1)) return; #endif expected_high = a_high + (uintmax_t)(a_low > UINTMAX_MAX - ub); expected_low = a_low + ub; if (b < 0) expected_high += UINTMAX_MAX; if (a_high >> (LIBJ2_JU_BIT - 1U) && b < 0) expected_overflow = expected_high >> (LIBJ2_JU_BIT - 1U) ? 0 : -1; else if (b < 0 || a_high >> (LIBJ2_JU_BIT - 1U)) expected_overflow = 0; else expected_overflow = expected_high >> (LIBJ2_JU_BIT - 1U) ? +1 : 0; self_check(a_high, a_low, b < 0 ? UINTMAX_MAX : 0U, ub, expected_high, expected_low, expected_overflow); a = (struct libj2_j2i){.high = a_high, .low = a_low}; libj2_j2i_add_ji(&a, b); EXPECT(a.high == expected_high); EXPECT(a.low == expected_low); a = (struct libj2_j2i){.high = a_high, .low = a_low}; EXPECT(libj2_j2i_add_ji_overflow(&a, b) == expected_overflow); EXPECT(a.high == expected_high); EXPECT(a.low == expected_low); #if 0 /* TODO saturated addition */ a = (struct libj2_j2i){.high = a_high, .low = a_low}; libj2_j2i_sat_add_ji(&a, b); EXPECT(a.high == (expected_overflow ? UINTMAX_MAX : expected_high)); EXPECT(a.low == (expected_overflow ? UINTMAX_MAX : expected_low)); #endif a = (struct libj2_j2i){.high = a_high, .low = a_low}; EXPECT(libj2_j2i_add_ji_overflow_p((const struct libj2_j2i *)&a, b) == expected_overflow); EXPECT(a.high == a_high); EXPECT(a.low == a_low); r = (struct libj2_j2i){111, 222}; a = (struct libj2_j2i){.high = a_high, .low = a_low}; libj2_j2i_add_ji_to_j2i(&a, b, &r); EXPECT(a.high == a_high); EXPECT(a.low == a_low); EXPECT(r.high == expected_high); EXPECT(r.low == expected_low); a = (struct libj2_j2i){.high = a_high, .low = a_low}; libj2_j2i_add_ji_to_j2i(&a, b, &a); EXPECT(a.high == expected_high); EXPECT(a.low == expected_low); r = (struct libj2_j2i){111, 222}; a = (struct libj2_j2i){.high = a_high, .low = a_low}; EXPECT(libj2_j2i_add_ji_to_j2i_overflow(&a, b, &r) == expected_overflow); EXPECT(a.high == a_high); EXPECT(a.low == a_low); EXPECT(r.high == expected_high); EXPECT(r.low == expected_low); a = (struct libj2_j2i){.high = a_high, .low = a_low}; EXPECT(libj2_j2i_add_ji_to_j2i_overflow(&a, b, &a) == expected_overflow); EXPECT(a.high == expected_high); EXPECT(a.low == expected_low); #if 0 /* TODO saturated addition */ r = (struct libj2_j2i){111, 222}; a = (struct libj2_j2i){.high = a_high, .low = a_low}; libj2_j2i_sat_add_ji_to_j2i(&a, b, &r); EXPECT(a.high == a_high); EXPECT(a.low == a_low); EXPECT(r.high == (expected_overflow ? UINTMAX_MAX : expected_high)); EXPECT(r.low == (expected_overflow ? UINTMAX_MAX : expected_low)); a = (struct libj2_j2i){.high = a_high, .low = a_low}; libj2_j2i_sat_add_ji_to_j2i(&a, b, &a); EXPECT(a.high == (expected_overflow ? UINTMAX_MAX : expected_high)); EXPECT(a.low == (expected_overflow ? UINTMAX_MAX : expected_low)); #endif r = (struct libj2_j2i){111, 222}; a = (struct libj2_j2i){.high = a_high, .low = a_low}; libj2_ji_add_j2i_to_j2i(b, &a, &r); EXPECT(a.high == a_high); EXPECT(a.low == a_low); EXPECT(r.high == expected_high); EXPECT(r.low == expected_low); a = (struct libj2_j2i){.high = a_high, .low = a_low}; libj2_ji_add_j2i_to_j2i(b, &a, &a); EXPECT(a.high == expected_high); EXPECT(a.low == expected_low); r = (struct libj2_j2i){111, 222}; a = (struct libj2_j2i){.high = a_high, .low = a_low}; EXPECT(libj2_ji_add_j2i_to_j2i_overflow(b, &a, &r) == expected_overflow); EXPECT(a.high == a_high); EXPECT(a.low == a_low); EXPECT(r.high == expected_high); EXPECT(r.low == expected_low); a = (struct libj2_j2i){.high = a_high, .low = a_low}; EXPECT(libj2_ji_add_j2i_to_j2i_overflow(b, &a, &a) == expected_overflow); EXPECT(a.high == expected_high); EXPECT(a.low == expected_low); #if 0 /* TODO saturated addition */ r = (struct libj2_j2i){111, 222}; a = (struct libj2_j2i){.high = a_high, .low = a_low}; libj2_ji_sat_add_j2i_to_j2i(b, &a, &r); EXPECT(a.high == a_high); EXPECT(a.low == a_low); EXPECT(r.high == (expected_overflow ? UINTMAX_MAX : expected_high)); EXPECT(r.low == (expected_overflow ? UINTMAX_MAX : expected_low)); a = (struct libj2_j2i){.high = a_high, .low = a_low}; libj2_ji_sat_add_j2i_to_j2i(b, &a, &a); EXPECT(a.high == (expected_overflow ? UINTMAX_MAX : expected_high)); EXPECT(a.low == (expected_overflow ? UINTMAX_MAX : expected_low)); #endif a = (struct libj2_j2i){.high = a_high, .low = a_low}; EXPECT(libj2_ji_add_j2i_overflow_p(b, (const struct libj2_j2i *)&a) == expected_overflow); EXPECT(a.high == a_high); EXPECT(a.low == a_low); } int main(void) { uintmax_t a, b, c, max, min, umax, vs[12]; unsigned i, j, k; srand((unsigned)time(NULL)); umax = UINTMAX_MAX; max = umax >> 1; min = ~max; vs[0] = 0U; vs[1] = 1U; vs[2] = 2U; vs[3] = umax - 0U; vs[4] = umax - 1U; vs[5] = umax - 2U; vs[6] = max - 0U; vs[7] = max - 1U; vs[8] = max - 2U; vs[9] = min + 0U; vs[10] = min + 1U; vs[11] = min + 2U; for (i = 0; i < 12U; i++) for (j = 0; j < 12U; j++) for (k = 0; k < 12U; k++) check(vs[i], vs[j], vs[k]); for (k = 0; k < 256; k++) { a = random_ju(); b = random_ju(); c = random_ju(); for (i = 0; i < 12U; i++) { for (j = 0; j < 12U; j++) { check(a, vs[i], vs[j]); check(vs[i], a, vs[j]); check(vs[i], vs[j], a); } check(a, b, vs[i]); check(a, vs[i], b); check(vs[i], a, b); } check(a, b, c); } return 0; } #endif