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/*
* Test 128-bit division functions
*
* Copyright (c) 2021 Instituto de Pesquisas Eldorado (eldorado.org.br)
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, see <http://www.gnu.org/licenses/>.
*/
#include "qemu/osdep.h"
#include "qemu/host-utils.h"
typedef struct {
uint64_t high;
uint64_t low;
uint64_t rhigh;
uint64_t rlow;
uint64_t divisor;
uint64_t remainder;
} test_data_unsigned;
typedef struct {
int64_t high;
uint64_t low;
int64_t rhigh;
uint64_t rlow;
int64_t divisor;
int64_t remainder;
} test_data_signed;
static const test_data_unsigned test_table_unsigned[] = {
/* Dividend fits in 64 bits */
{ 0x0000000000000000ULL, 0x0000000000000000ULL,
0x0000000000000000ULL, 0x0000000000000000ULL,
0x0000000000000001ULL, 0x0000000000000000ULL},
{ 0x0000000000000000ULL, 0x0000000000000001ULL,
0x0000000000000000ULL, 0x0000000000000001ULL,
0x0000000000000001ULL, 0x0000000000000000ULL},
{ 0x0000000000000000ULL, 0x0000000000000003ULL,
0x0000000000000000ULL, 0x0000000000000001ULL,
0x0000000000000002ULL, 0x0000000000000001ULL},
{ 0x0000000000000000ULL, 0x8000000000000000ULL,
0x0000000000000000ULL, 0x8000000000000000ULL,
0x0000000000000001ULL, 0x0000000000000000ULL},
{ 0x0000000000000000ULL, 0xa000000000000000ULL,
0x0000000000000000ULL, 0x0000000000000002ULL,
0x4000000000000000ULL, 0x2000000000000000ULL},
{ 0x0000000000000000ULL, 0x8000000000000000ULL,
0x0000000000000000ULL, 0x0000000000000001ULL,
0x8000000000000000ULL, 0x0000000000000000ULL},
/* Dividend > 64 bits, with MSB 0 */
{ 0x123456789abcdefeULL, 0xefedcba987654321ULL,
0x123456789abcdefeULL, 0xefedcba987654321ULL,
0x0000000000000001ULL, 0x0000000000000000ULL},
{ 0x123456789abcdefeULL, 0xefedcba987654321ULL,
0x0000000000000001ULL, 0x000000000000000dULL,
0x123456789abcdefeULL, 0x03456789abcdf03bULL},
{ 0x123456789abcdefeULL, 0xefedcba987654321ULL,
0x0123456789abcdefULL, 0xeefedcba98765432ULL,
0x0000000000000010ULL, 0x0000000000000001ULL},
/* Dividend > 64 bits, with MSB 1 */
{ 0xfeeddccbbaa99887ULL, 0x766554433221100fULL,
0xfeeddccbbaa99887ULL, 0x766554433221100fULL,
0x0000000000000001ULL, 0x0000000000000000ULL},
{ 0xfeeddccbbaa99887ULL, 0x766554433221100fULL,
0x0000000000000001ULL, 0x0000000000000000ULL,
0xfeeddccbbaa99887ULL, 0x766554433221100fULL},
{ 0xfeeddccbbaa99887ULL, 0x766554433221100fULL,
0x0feeddccbbaa9988ULL, 0x7766554433221100ULL,
0x0000000000000010ULL, 0x000000000000000fULL},
{ 0xfeeddccbbaa99887ULL, 0x766554433221100fULL,
0x000000000000000eULL, 0x00f0f0f0f0f0f35aULL,
0x123456789abcdefeULL, 0x0f8922bc55ef90c3ULL},
/**
* Divisor == 64 bits, with MSB 1
* and high 64 bits of dividend >= divisor
* (for testing normalization)
*/
{ 0xfeeddccbbaa99887ULL, 0x766554433221100fULL,
0x0000000000000001ULL, 0x0000000000000000ULL,
0xfeeddccbbaa99887ULL, 0x766554433221100fULL},
{ 0xfeeddccbbaa99887ULL, 0x766554433221100fULL,
0x0000000000000001ULL, 0xfddbb9977553310aULL,
0x8000000000000001ULL, 0x78899aabbccddf05ULL},
/* Dividend > 64 bits, divisor almost as big */
{ 0x0000000000000001ULL, 0x23456789abcdef01ULL,
0x0000000000000000ULL, 0x000000000000000fULL,
0x123456789abcdefeULL, 0x123456789abcde1fULL},
};
static const test_data_signed test_table_signed[] = {
/* Positive dividend, positive/negative divisors */
{ 0x0000000000000000LL, 0x0000000000bc614eULL,
0x0000000000000000LL, 0x0000000000bc614eULL,
0x0000000000000001LL, 0x0000000000000000LL},
{ 0x0000000000000000LL, 0x0000000000bc614eULL,
0xffffffffffffffffLL, 0xffffffffff439eb2ULL,
0xffffffffffffffffLL, 0x0000000000000000LL},
{ 0x0000000000000000LL, 0x0000000000bc614eULL,
0x0000000000000000LL, 0x00000000005e30a7ULL,
0x0000000000000002LL, 0x0000000000000000LL},
{ 0x0000000000000000LL, 0x0000000000bc614eULL,
0xffffffffffffffffLL, 0xffffffffffa1cf59ULL,
0xfffffffffffffffeLL, 0x0000000000000000LL},
{ 0x0000000000000000LL, 0x0000000000bc614eULL,
0x0000000000000000LL, 0x0000000000178c29ULL,
0x0000000000000008LL, 0x0000000000000006LL},
{ 0x0000000000000000LL, 0x0000000000bc614eULL,
0xffffffffffffffffLL, 0xffffffffffe873d7ULL,
0xfffffffffffffff8LL, 0x0000000000000006LL},
{ 0x0000000000000000LL, 0x0000000000bc614eULL,
0x0000000000000000LL, 0x000000000000550dULL,
0x0000000000000237LL, 0x0000000000000183LL},
{ 0x0000000000000000LL, 0x0000000000bc614eULL,
0xffffffffffffffffLL, 0xffffffffffffaaf3ULL,
0xfffffffffffffdc9LL, 0x0000000000000183LL},
/* Negative dividend, positive/negative divisors */
{ 0xffffffffffffffffLL, 0xffffffffff439eb2ULL,
0xffffffffffffffffLL, 0xffffffffff439eb2ULL,
0x0000000000000001LL, 0x0000000000000000LL},
{ 0xffffffffffffffffLL, 0xffffffffff439eb2ULL,
0x0000000000000000LL, 0x0000000000bc614eULL,
0xffffffffffffffffLL, 0x0000000000000000LL},
{ 0xffffffffffffffffLL, 0xffffffffff439eb2ULL,
0xffffffffffffffffLL, 0xffffffffffa1cf59ULL,
0x0000000000000002LL, 0x0000000000000000LL},
{ 0xffffffffffffffffLL, 0xffffffffff439eb2ULL,
0x0000000000000000LL, 0x00000000005e30a7ULL,
0xfffffffffffffffeLL, 0x0000000000000000LL},
{ 0xffffffffffffffffLL, 0xffffffffff439eb2ULL,
0xffffffffffffffffLL, 0xffffffffffe873d7ULL,
0x0000000000000008LL, 0xfffffffffffffffaLL},
{ 0xffffffffffffffffLL, 0xffffffffff439eb2ULL,
0x0000000000000000LL, 0x0000000000178c29ULL,
0xfffffffffffffff8LL, 0xfffffffffffffffaLL},
{ 0xffffffffffffffffLL, 0xffffffffff439eb2ULL,
0xffffffffffffffffLL, 0xffffffffffffaaf3ULL,
0x0000000000000237LL, 0xfffffffffffffe7dLL},
{ 0xffffffffffffffffLL, 0xffffffffff439eb2ULL,
0x0000000000000000LL, 0x000000000000550dULL,
0xfffffffffffffdc9LL, 0xfffffffffffffe7dLL},
};
static void test_divu128(void)
{
int i;
uint64_t rem;
test_data_unsigned tmp;
for (i = 0; i < ARRAY_SIZE(test_table_unsigned); ++i) {
tmp = test_table_unsigned[i];
rem = divu128(&tmp.low, &tmp.high, tmp.divisor);
g_assert_cmpuint(tmp.low, ==, tmp.rlow);
g_assert_cmpuint(tmp.high, ==, tmp.rhigh);
g_assert_cmpuint(rem, ==, tmp.remainder);
}
}
static void test_divs128(void)
{
int i;
int64_t rem;
test_data_signed tmp;
for (i = 0; i < ARRAY_SIZE(test_table_signed); ++i) {
tmp = test_table_signed[i];
rem = divs128(&tmp.low, &tmp.high, tmp.divisor);
g_assert_cmpuint(tmp.low, ==, tmp.rlow);
g_assert_cmpuint(tmp.high, ==, tmp.rhigh);
g_assert_cmpuint(rem, ==, tmp.remainder);
}
}
int main(int argc, char **argv)
{
g_test_init(&argc, &argv, NULL);
g_test_add_func("/host-utils/test_divu128", test_divu128);
g_test_add_func("/host-utils/test_divs128", test_divs128);
return g_test_run();
}