cryb-to/t/t_mpi_mul_div.c

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/*
* Copyright (c) 2014-2017 Dag-Erling Smørgrav
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. The name of the author may not be used to endorse or promote
* products derived from this software without specific prior written
* permission.
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#include "cryb/impl.h"
#include <stdint.h>
#include <string.h>
#include <unistd.h>
#include <cryb/endian.h>
#include <cryb/mpi.h>
#include <cryb/test.h>
#include "t_mpi.h"
/***************************************************************************
* Multiplication
*/
static struct t_mul_case {
const char *desc;
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int err;
uint8_t a[16];
size_t amsb;
int aneg:1;
uint8_t b[16];
size_t bmsb;
int bneg:1;
uint8_t e[16];
size_t emsb;
int eneg:1;
} t_mul_cases[] = {
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{
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"0 * 0 == 0", 0,
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{ }, 0, 0,
{ }, 0, 0,
{ }, 0, 0,
},
{
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"0 * 1 == 0", 0,
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{ }, 0, 0,
{ 0x01 }, 1, 0,
{ }, 0, 0,
},
{
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"1 * 0 == 0", 0,
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{ 0x01 }, 1, 0,
{ }, 0, 0,
{ }, 0, 0,
},
{
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"1 * 1 == 1", 0,
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{ 0x01 }, 1, 0,
{ 0x01 }, 1, 0,
{ 0x01 }, 1, 0,
},
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{
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"(2^32 + 1) * (2^32 + 1) == 2^64 + 2^33 + 1", 0,
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{ 0x01, 0x00, 0x00, 0x00, 0x01 }, 33, 0,
{ 0x01, 0x00, 0x00, 0x00, 0x01 }, 33, 0,
{ 0x01, 0x00, 0x00, 0x00, 0x02, 0x00, 0x00, 0x00, 0x01 }, 65, 0,
},
{
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"(2^32 + 1) * (2^32 - 1) == 2^64 - 1", 0,
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{ 0x01, 0x00, 0x00, 0x00, 0x01 }, 33, 0,
{ 0xff, 0xff, 0xff, 0xff }, 32, 0,
{ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }, 63, 0,
},
{
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"(2^32 - 1) * (2^32 + 1) == 2^64 - 1", 0,
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{ 0xff, 0xff, 0xff, 0xff }, 32, 0,
{ 0x01, 0x00, 0x00, 0x00, 0x01 }, 33, 0,
{ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }, 63, 0,
},
{
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"(2^32 - 1) * (2^32 - 1) == 2^64 - 2^33 + 1", 0,
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{ 0xff, 0xff, 0xff, 0xff }, 32, 0,
{ 0xff, 0xff, 0xff, 0xff }, 32, 0,
{ 0xff, 0xff, 0xff, 0xfe, 0x00, 0x00, 0x00, 0x01 }, 64, 0,
},
};
static int
t_mpi_mul_tc(char **desc CRYB_UNUSED, void *arg)
{
struct t_mul_case *tc = arg;
cryb_mpi a = CRYB_MPI_ZERO, b = CRYB_MPI_ZERO, e = CRYB_MPI_ZERO;
cryb_mpi x = CRYB_MPI_ZERO;
int ret = 1;
mpi_load(&a, tc->a, (tc->amsb + 7) / 8);
a.neg = tc->aneg;
mpi_load(&b, tc->b, (tc->bmsb + 7) / 8);
b.neg = tc->bneg;
mpi_load(&e, tc->e, (tc->emsb + 7) / 8);
e.neg = tc->eneg;
ret &= t_compare_i(0, mpi_mul_abs(&x, &a, &b));
ret &= t_compare_mpi(&e, &x);
mpi_destroy(&a);
mpi_destroy(&b);
mpi_destroy(&e);
mpi_destroy(&x);
return (ret);
}
/***************************************************************************
* Division
*/
static struct t_div_case {
const char *desc;
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int err;
uint8_t a[16];
size_t amsb;
int aneg:1;
uint8_t b[16];
size_t bmsb;
int bneg:1;
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uint8_t q[16];
size_t qmsb;
int qneg:1;
uint8_t r[16];
size_t rmsb;
int rneg:1;
} t_div_cases[] = {
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{
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/* divide something by zero */
"1 / 0 == ERROR", -1,
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{ 0x01 }, 1, 0,
{ }, 0, 0,
{ }, 0, 0,
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{ }, 0, 0,
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},
{
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/* divide zero by something */
"0 / 1 == 0", 0,
{ }, 0, 0,
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{ 0x01 }, 1, 0,
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{ }, 0, 0,
{ }, 0, 0,
},
{
/* divide something by one */
"3 / 1 == 3", 0,
{ 0x03 }, 2, 0,
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{ 0x01 }, 1, 0,
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{ 0x03 }, 2, 0,
{ }, 0, 0,
},
{
/* divide something by itself */
"3 / 3 == 1", 0,
{ 0x03 }, 2, 0,
{ 0x03 }, 2, 0,
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{ 0x01 }, 1, 0,
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{ }, 0, 0,
},
{
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/* divide something by something larger */
"127 / 254 == 0 rem 127", 0,
{ 0x7f }, 7, 0,
{ 0xfe }, 8, 0,
{ }, 0, 0,
{ 0x7f }, 7, 0,
},
{
/* no remainder */
"254 / 127 = 2", 0,
{ 0xfe }, 8, 0,
{ 0x7f }, 7, 0,
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{ 0x02 }, 2, 0,
{ }, 0, 0,
},
{
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/* remainder */
"257 / 127 == 2 rem 3", 0,
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{ 0x01, 0x01 }, 9, 0,
{ 0x7f }, 7, 0,
{ 0x02 }, 2, 0,
{ 0x03 }, 2, 0,
},
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/* XXX needs lots more tests! */
};
static int
t_mpi_div_tc(char **desc CRYB_UNUSED, void *arg)
{
struct t_div_case *tc = arg;
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cryb_mpi a = CRYB_MPI_ZERO, b = CRYB_MPI_ZERO;
cryb_mpi q = CRYB_MPI_ZERO, r = CRYB_MPI_ZERO;
cryb_mpi eq = CRYB_MPI_ZERO, er = CRYB_MPI_ZERO;
int ret = 1;
mpi_load(&a, tc->a, (tc->amsb + 7) / 8);
a.neg = tc->aneg;
mpi_load(&b, tc->b, (tc->bmsb + 7) / 8);
b.neg = tc->bneg;
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mpi_load(&eq, tc->q, (tc->qmsb + 7) / 8);
eq.neg = tc->qneg;
mpi_load(&er, tc->r, (tc->rmsb + 7) / 8);
er.neg = tc->rneg;
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ret &= t_compare_i(tc->err, mpi_div_abs(&q, &r, &a, &b));
if (tc->err == 0) {
ret &= t_compare_mpi(&eq, &q);
ret &= t_compare_mpi(&er, &r);
}
mpi_destroy(&a);
mpi_destroy(&b);
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mpi_destroy(&q);
mpi_destroy(&r);
mpi_destroy(&eq);
mpi_destroy(&er);
return (ret);
}
/***************************************************************************
* Boilerplate
*/
static int
t_prepare(int argc, char *argv[])
{
unsigned int i;
(void)argc;
(void)argv;
t_mpi_prepare();
/* multiplication */
for (i = 0; i < sizeof t_mul_cases / sizeof t_mul_cases[0]; ++i)
t_add_test(t_mpi_mul_tc, &t_mul_cases[i],
"%s", t_mul_cases[i].desc);
/* division */
for (i = 0; i < sizeof t_div_cases / sizeof t_div_cases[0]; ++i)
t_add_test(t_mpi_div_tc, &t_div_cases[i],
"%s", t_div_cases[i].desc);
return (0);
}
static void
t_cleanup(void)
{
t_mpi_cleanup();
}
int
main(int argc, char *argv[])
{
t_main(t_prepare, t_cleanup, argc, argv);
}