/* See LICENSE file for copyright and license details. */ #include "common.h" #ifndef TEST extern inline void libj2_j2i_add_j2i(struct libj2_j2i *a, const struct libj2_j2i *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 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) { struct libj2_j2i a, b, r, a_saved, b_saved, expected; a_saved = (struct libj2_j2i){.high = a_high, .low = a_low}; b_saved = (struct libj2_j2i){.high = b_high, .low = b_low}; expected = (struct libj2_j2i){.high = r_high, .low = r_low}; a = a_saved; b = b_saved; libj2_j2i_add_j2i(&a, &b); EXPECT(libj2_j2i_eq_j2i(&a, &expected)); EXPECT(libj2_j2i_eq_j2i(&b, &b_saved)); r = (struct libj2_j2i){111, 222}; a = a_saved; b = b_saved; libj2_j2i_add_j2i_to_j2i(&a, &b, &r); EXPECT(libj2_j2i_eq_j2i(&r, &expected)); EXPECT(libj2_j2i_eq_j2i(&a, &a_saved)); EXPECT(libj2_j2i_eq_j2i(&b, &b_saved)); a = a_saved; b = b_saved; libj2_j2i_add_j2i_to_j2i(&a, &b, &a); EXPECT(libj2_j2i_eq_j2i(&a, &expected)); EXPECT(libj2_j2i_eq_j2i(&b, &b_saved)); a = a_saved; b = b_saved; libj2_j2i_add_j2i_to_j2i(&a, &b, &b); EXPECT(libj2_j2i_eq_j2i(&b, &expected)); EXPECT(libj2_j2i_eq_j2i(&a, &a_saved)); a = a_saved; b = b_saved; EXPECT(libj2_j2i_add_j2i_overflow(&a, &b) == r_overflow); EXPECT(libj2_j2i_eq_j2i(&a, &expected)); EXPECT(libj2_j2i_eq_j2i(&b, &b_saved)); #if 0 /* TODO saturated addition */ a = a_saved; b = b_saved; libj2_j2i_sat_add_j2i(&a, &b); EXPECT(r_overflow ? libj2_j2i_is_max(&a) : libj2_j2i_eq_j2i(&a, &expected)); EXPECT(libj2_j2i_eq_j2i(&b, &b_saved)); #endif a = a_saved; b = b_saved; EXPECT(libj2_j2i_add_j2i_overflow_p((const struct libj2_j2i *)&a, (const struct libj2_j2i *)&b) == r_overflow); EXPECT(libj2_j2i_eq_j2i(&a, &a_saved)); EXPECT(libj2_j2i_eq_j2i(&b, &b_saved)); r = (struct libj2_j2i){111, 222}; a = a_saved; b = b_saved; EXPECT(libj2_j2i_add_j2i_to_j2i_overflow(&a, &b, &r) == r_overflow); EXPECT(libj2_j2i_eq_j2i(&r, &expected)); EXPECT(libj2_j2i_eq_j2i(&a, &a_saved)); EXPECT(libj2_j2i_eq_j2i(&b, &b_saved)); a = a_saved; b = b_saved; EXPECT(libj2_j2i_add_j2i_to_j2i_overflow(&a, &b, &a) == r_overflow); EXPECT(libj2_j2i_eq_j2i(&a, &expected)); EXPECT(libj2_j2i_eq_j2i(&b, &b_saved)); a = a_saved; b = b_saved; EXPECT(libj2_j2i_add_j2i_to_j2i_overflow(&a, &b, &b) == r_overflow); EXPECT(libj2_j2i_eq_j2i(&b, &expected)); EXPECT(libj2_j2i_eq_j2i(&a, &a_saved)); #if 0 /* TODO saturated addition */ r = (struct libj2_j2i){111, 222}; a = a_saved; b = b_saved; libj2_j2i_sat_add_j2i_to_j2i(&a, &b, &r); EXPECT(r_overflow ? libj2_j2i_is_max(&r) : libj2_j2i_eq_j2i(&r, &expected)); EXPECT(libj2_j2i_eq_j2i(&a, &a_saved)); EXPECT(libj2_j2i_eq_j2i(&b, &b_saved)); a = a_saved; b = b_saved; libj2_j2i_sat_add_j2i_to_j2i(&a, &b, &a); EXPECT(r_overflow ? libj2_j2i_is_max(&a) : libj2_j2i_eq_j2i(&a, &expected)); EXPECT(libj2_j2i_eq_j2i(&b, &b_saved)); a = a_saved; b = b_saved; libj2_j2i_sat_add_j2i_to_j2i(&a, &b, &b); EXPECT(r_overflow ? libj2_j2i_is_max(&b) : libj2_j2i_eq_j2i(&b, &expected)); EXPECT(libj2_j2i_eq_j2i(&a, &a_saved)); #endif } static void check(uintmax_t a_high, uintmax_t a_low, uintmax_t b_high, uintmax_t b_low) { uintmax_t a_neg = a_high >> (LIBJ2_JU_BIT - 1U); uintmax_t b_neg = b_high >> (LIBJ2_JU_BIT - 1U); uintmax_t r_high = 0, r_low = 0, carry = 0; int r_overflow = 0; unsigned i; for (i = 0; i < LIBJ2_JU_BIT; i++) { carry += (a_low >> i) & 1U; carry += (b_low >> i) & 1U; r_low |= (carry & 1U) << i; carry >>= 1; } for (i = 0; i < LIBJ2_JU_BIT - 1U; i++) { carry += (a_high >> i) & 1U; carry += (b_high >> i) & 1U; r_high |= (carry & 1U) << i; 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) r_overflow = 0; else if (a_neg) r_overflow = -!(r_high >> (LIBJ2_JU_BIT - 1U)); else r_overflow = !!(r_high >> (LIBJ2_JU_BIT - 1U)); check_(a_high, a_low, b_high, b_low, r_high, r_low, r_overflow); } static void check_manual(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) { check_(a_high, a_low, b_high, b_low, r_high, r_low, r_overflow); check(a_high, a_low, b_high, b_low); } static void check_double(uintmax_t high, uintmax_t low) { struct libj2_j2i a, r, a_saved, expected, b; uintmax_t expected_high = (high << 1 | low >> (LIBJ2_JU_BIT - 1U)); uintmax_t expected_low = low << 1; int expected_overflow = (int)(high >> (LIBJ2_JU_BIT - 2U)); expected_overflow ^= expected_overflow >> 1; expected_overflow &= 1; if (high >> (LIBJ2_JU_BIT - 1U)) expected_overflow = -expected_overflow; a_saved = (struct libj2_j2i){.high = high, .low = low}; expected = (struct libj2_j2i){.high = expected_high, .low = expected_low}; a = a_saved; b = a_saved; libj2_j2i_add_j2i(&a, &b); EXPECT(libj2_j2i_eq_j2i(&a, &expected)); a = a_saved; libj2_j2i_add_j2i(&a, &a); EXPECT(libj2_j2i_eq_j2i(&a, &expected)); r = (struct libj2_j2i){111, 222}; a = a_saved; libj2_j2i_add_j2i_to_j2i(&a, &a, &r); EXPECT(libj2_j2i_eq_j2i(&r, &expected)); EXPECT(libj2_j2i_eq_j2i(&a, &a_saved)); a = a_saved; libj2_j2i_add_j2i_to_j2i(&a, &a, &a); EXPECT(libj2_j2i_eq_j2i(&a, &expected)); a = a_saved; EXPECT(libj2_j2i_add_j2i_overflow(&a, &a) == expected_overflow); EXPECT(libj2_j2i_eq_j2i(&a, &expected)); #if 0 /* TODO saturated addition */ a = a_saved; libj2_j2i_sat_add_j2i(&a, &a); EXPECT(expected_overflow ? libj2_j2i_is_max(&a) : libj2_j2i_eq_j2i(&a, &expected)); #endif a = a_saved; EXPECT(libj2_j2i_add_j2i_overflow_p((const struct libj2_j2i *)&a, (const struct libj2_j2i *)&a) == expected_overflow); EXPECT(libj2_j2i_eq_j2i(&a, &a_saved)); r = (struct libj2_j2i){111, 222}; a = a_saved; EXPECT(libj2_j2i_add_j2i_to_j2i_overflow(&a, &a, &r) == expected_overflow); EXPECT(libj2_j2i_eq_j2i(&r, &expected)); EXPECT(libj2_j2i_eq_j2i(&a, &a_saved)); a = a_saved; EXPECT(libj2_j2i_add_j2i_to_j2i_overflow(&a, &a, &a) == expected_overflow); EXPECT(libj2_j2i_eq_j2i(&a, &expected)); #if 0 /* TODO saturated addition */ r = (struct libj2_j2i){111, 222}; a = a_saved; libj2_j2i_sat_add_j2i_to_j2i(&a, &a, &r); EXPECT(expected_overflow ? libj2_j2i_is_max(&r) : libj2_j2i_eq_j2i(&r, &expected)); EXPECT(libj2_j2i_eq_j2i(&a, &a_saved)); a = a_saved; libj2_j2i_sat_add_j2i_to_j2i(&a, &a, &a); EXPECT(expected_overflow ? libj2_j2i_is_max(&a) : libj2_j2i_eq_j2i(&a, &expected)); #endif } int main(void) { uintmax_t a, b, c, d, max, min, umax, vs[12]; unsigned i, ii, ij, jj, 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; check_manual(0, 0, 0, 0, 0, 0, 0); check_manual(0, 1, 0, 1, 0, 2, 0); check_manual(0, UINTMAX_MAX, 0, 1, 1, 0, 0); check_manual(0, UINTMAX_MAX, 0, UINTMAX_MAX, 1, UINTMAX_MAX - 1U, 0); check_manual(UINTMAX_MAX >> 1, UINTMAX_MAX, UINTMAX_MAX >> 1, UINTMAX_MAX, UINTMAX_MAX, UINTMAX_MAX - 1U, +1); check_manual((UINTMAX_MAX >> 1) + 1U, 0, (UINTMAX_MAX >> 1) + 1U, 0, 0, 0, -1); for (i = 0; i < 256; i++) check(random_ju() >> 1, random_ju(), random_ju() >> 1, random_ju()); check_double(0, 0); check_double(0, UINTMAX_MAX); check_double(UINTMAX_MAX, UINTMAX_MAX); check_double(UINTMAX_MAX, 0); check_double(UINTMAX_MAX >> 1, 0); check_double(UINTMAX_MAX >> 1, UINTMAX_MAX); check_double((UINTMAX_MAX >> 1) + 1U, 0); for (i = 0; i < 256; i++) { check_double(0, random_ju()); check_double(random_ju(), 0); check_double(random_ju(), UINTMAX_MAX); check_double(random_ju(), random_ju()); check_double(UINTMAX_MAX >> 1, random_ju()); check_double(UINTMAX_MAX, random_ju()); check_double((UINTMAX_MAX >> 1) + 1U, random_ju()); } check_manual((UINTMAX_MAX >> 1) - 1U, UINTMAX_MAX - 1U, 1, 1, UINTMAX_MAX >> 1, UINTMAX_MAX, 0); check_manual((UINTMAX_MAX >> 1) - 1U, UINTMAX_MAX - 1U, 1, 2, ~(uintmax_t)INTMAX_MAX, 0, 1); check_manual((UINTMAX_MAX >> 1) - 1U, UINTMAX_MAX - 1U, 1, 3, ~(uintmax_t)INTMAX_MAX, 1, 1); for (k = 0; k < 16U; k++) { a = random_ju() >> 1; b = random_ju() >> 1; c = random_ju() >> 1; d = random_ju() >> 1; if (k & 1U) a = ~a; if (k & 2U) b = ~b; if (k & 4U) c = ~c; if (k & 8U) d = ~d; check(a, b, c, d); for (i = 0; k < 8U && i < 12U; i++) { check(a, b, c, vs[i]); check(a, b, vs[i], c); check(a, vs[i], b, c); check(vs[i], a, b, c); for (ii = 0; k < 4U && ii < 12U; ii++) { check(a, b, vs[i], vs[ii]); check(a, vs[i], b, vs[ii]); check(a, vs[i], vs[ii], b); check(vs[i], a, b, vs[ii]); check(vs[i], a, vs[ii], b); check(vs[i], vs[ii], a, b); for (ij = 0; k < 2U && ij < 12U; ij++) { check(vs[i], vs[ii], vs[ij], a); check(vs[i], vs[ii], a, vs[ij]); check(vs[i], a, vs[ii], vs[ij]); check(a, vs[i], vs[ii], vs[ij]); for (jj = 0; k < 1U && jj < 12U; jj++) check(vs[i], vs[ii], vs[ij], vs[jj]); } } } } return 0; } #endif