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Start of a multiple-precision integer arithmetic library.

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Dag-Erling Smørgrav 2014-08-12 07:30:31 +00:00 committed by des
parent d5e05cd239
commit be31515f5e
13 changed files with 1587 additions and 0 deletions
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1
configure.ac
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@ -123,6 +123,7 @@ AC_CONFIG_FILES([
lib/enc/Makefile lib/enc/Makefile
lib/hash/Makefile lib/hash/Makefile
lib/mac/Makefile lib/mac/Makefile
lib/mpi/Makefile
lib/oath/Makefile lib/oath/Makefile
lib/rand/Makefile lib/rand/Makefile
lib/rsaref/Makefile lib/rsaref/Makefile

1
include/cryb/Makefile.am
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@ -18,6 +18,7 @@ cryb_HEADERS = \
md2.h \ md2.h \
md4.h \ md4.h \
md5.h \ md5.h \
mpi.h \
oath.h \ oath.h \
oath_constants.h \ oath_constants.h \
oath_types.h \ oath_types.h \

57
include/cryb/mpi.h Normal file
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@ -0,0 +1,57 @@
/*
* Copyright (c) 2014 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.
*/
#ifndef CRYB_MPI_H_INCLUDED
#define CRYB_MPI_H_INCLUDED
#define CRYB_MPI_SWORDS 16
typedef struct cryb_mpi {
uint32_t *words; /* pointer to words */
size_t size; /* number of words */
unsigned int msb; /* most significant bit */
unsigned int neg:1; /* negative */
uint32_t swords[CRYB_MPI_SWORDS];
} cryb_mpi;
void mpi_init(cryb_mpi *);
void mpi_destroy(cryb_mpi *);
int mpi_grow(cryb_mpi *, unsigned int);
void mpi_zero(cryb_mpi *);
void mpi_negate(cryb_mpi *);
int mpi_copy(cryb_mpi *, const cryb_mpi *);
void mpi_swap(cryb_mpi *, cryb_mpi *);
int mpi_load(cryb_mpi *, const uint8_t *, size_t);
int mpi_set(cryb_mpi *, int32_t);
int mpi_lshift(cryb_mpi *, unsigned int);
int mpi_rshift(cryb_mpi *, unsigned int);
int mpi_add_abs(cryb_mpi *, cryb_mpi *, cryb_mpi *);
int mpi_sub_abs(cryb_mpi *, cryb_mpi *, cryb_mpi *);
#endif

1
lib/Makefile.am
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@ -5,6 +5,7 @@ SUBDIRS = \
enc \ enc \
hash \ hash \
mac \ mac \
mpi \
rand \ rand \
oath oath

10
lib/mpi/Makefile.am Normal file
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@ -0,0 +1,10 @@
AM_CPPFLAGS = -I$(top_srcdir)/include
lib_LTLIBRARIES = libcryb-mpi.la
libcryb_mpi_la_SOURCES = \
mpi.c \
mpi_add.c \
mpi_sub.c \
mpi_shift.c \
mpi_cmp.c

16
lib/mpi/README Normal file
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@ -0,0 +1,16 @@
Portable multiple-precision integer library.
The interface is loosely based on XySSL's MPI library. The
implementation was written from scratch based on the algorithms
described in Menezes, van Oorschot and Vanstone: _Handbook of Applied
Cryptography_, CRC Press, 1996. The full text of the HAC is available
for personal use at http://www.cacr.math.uwaterloo.ca/hac/.
This implementation sacrifices performance for portability and
readability, but attempts have been made to structure it in such a way
that critical portions can easily be replaced with machine-dependent
optimized versions.
The code assumes a 64-bit machine or a 32-bit machine where 64-bit
integer arithmetic is supported but not necessarily efficient; 64-bit
operations are used only to simplify overflow handling.

234
lib/mpi/mpi.c Normal file
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/*
* Copyright (c) 2014 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 <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <cryb/mpi.h>
/* n rounded up to nearest multiple of p */
#define RUP(n, p) ((((n) + (p) - 1) / (p)) * (p))
/*
* Initialize an all-zeroes mpi.
*/
#define MPI_FAST_INIT(X) \
do { \
(X)->words = (X)->swords; \
(X)->size = CRYB_MPI_SWORDS; \
} while (0)
/*
* Initialize an mpi.
*/
void
mpi_init(cryb_mpi *X)
{
memset(X, 0, sizeof *X);
MPI_FAST_INIT(X);
}
/*
* Destroy an mpi.
*/
void
mpi_destroy(cryb_mpi *X)
{
if (X->words != NULL && X->words != X->swords) {
memset(X->words, 0, X->size);
free(X->words);
}
mpi_init(X);
}
/*
* Grow the underlying storage to fit at least n bits
*/
int
mpi_grow(cryb_mpi *X, unsigned int n)
{
uint32_t *words;
size_t size;
if (X->words == NULL)
MPI_FAST_INIT(X);
size = (n + 31) / 32;
if (X->size >= size)
return (0);
size = RUP(size, CRYB_MPI_SWORDS);
if ((words = calloc(1, size * sizeof *words)) == NULL)
return (-1);
memcpy(words, X->words, X->size * sizeof *words);
memset(X->words, 0, X->size * sizeof *words);
if (X->words != X->swords)
free(X->words);
X->words = words;
X->size = size;
return (0);
}
/*
* Set X to zero
*/
void
mpi_zero(cryb_mpi *X)
{
if (X->words == NULL) {
MPI_FAST_INIT(X);
} else {
memset(X->words, 0, X->size);
X->neg = 0;
X->msb = 0;
}
}
/*
* Flip sign
*/
void
mpi_negate(cryb_mpi *X)
{
if (X->msb > 0)
X->neg = !X->neg;
}
/*
* Copy the contents of Y into X
*/
int
mpi_copy(cryb_mpi *X, const cryb_mpi *Y)
{
if (X == Y)
return (0);
mpi_zero(X);
if (mpi_grow(X, Y->msb) != 0)
return (-1);
X->msb = Y->msb;
X->neg = Y->neg;
memcpy(X->words, Y->words, X->size * sizeof *X->words);
return (0);
}
/*
* Swap the contents of X and Y
*/
void
mpi_swap(cryb_mpi *X, cryb_mpi *Y)
{
cryb_mpi T;
memcpy(&T, X, sizeof T);
memcpy(X, Y, sizeof *X);
memcpy(Y, &T, sizeof *Y);
if (X->words == Y->swords)
X->words = X->swords;
if (Y->words == X->swords)
Y->words = Y->swords;
}
/*
* Load value from an array of bytes
*/
int
mpi_load(cryb_mpi *X, const uint8_t *a, size_t len)
{
int i;
mpi_zero(X);
/* skip zeroes */
while (len > 0 && *a == 0)
--len, ++a;
if (len == 0)
return (0);
/* make room */
if (mpi_grow(X, len * 8) != 0)
return (-1);
/* load whole words */
for (i = 0; len >= 4; ++i, len -= 4)
X->words[i] =
a[len - 4] << 24 |
a[len - 3] << 16 |
a[len - 2] << 8 |
a[len - 1];
/* load remaining bytes */
switch (len) {
case 3:
X->words[i] |= a[len - 3] << 16;
case 2:
X->words[i] |= a[len - 2] << 8;
case 1:
X->words[i] |= a[len - 1];
break;
case 0:
--i;
CRYB_NO_DEFAULT_CASE;
}
/* i now points to the msw */
/* compute msb of msw */
for (X->msb = 31; X->msb > 0; --X->msb)
if (X->words[i] & (1 << X->msb))
break;
/* add msw offset */
X->msb += i * 32 + 1;
return (0);
}
/*
* Set value of X from integer z
*/
int
mpi_set(cryb_mpi *X, int32_t z)
{
uint32_t zabs;
mpi_zero(X);
if (mpi_grow(X, sizeof z * 8) != 0)
return (-1);
if (z < 0) {
X->neg = 1;
zabs = -z;
} else {
zabs = z;
}
X->words[0] = zabs;
while (zabs > 0) {
X->msb++;
zabs >>= 1;
}
return (0);
}

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lib/mpi/mpi_add.c Normal file
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@ -0,0 +1,83 @@
/*
* Copyright (c) 2014 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 <stdlib.h>
#include <cryb/mpi.h>
/*
* Store the sum of the absolutes values of A and B in X.
* XXX safe for either A or B to be the same object as X but not both
*/
int
mpi_add_abs(cryb_mpi *X, cryb_mpi *A, cryb_mpi *B)
{
unsigned int i;
uint32_t c;
if (X == B)
B = A, A = X;
if (X != A)
mpi_copy(X, A);
/* 0 + 0 = 0 */
if (X->msb == 0 && B->msb == 0)
return (0);
/* make room */
if (mpi_grow(X, X->msb + 1) != 0 || mpi_grow(X, B->msb + 1) != 0)
return (-1);
/* add B into X word by word until we run out of B */
for (c = i = 0; i < (B->msb + 31) / 32; ++i) {
// fprintf(stderr, "0x%08x + 0x%08x (%u)", X->words[i], B->words[i], c);
X->words[i] += c;
c = (X->words[i] < c);
X->words[i] += B->words[i];
c += (X->words[i] < B->words[i]);
// fprintf(stderr, " = 0x%08x (%u)\n", X->words[i], c);
}
/* keep propagating carry */
while (c) {
// fprintf(stderr, "0x%08x + 0x%08x (%u)", X->words[i], 0, c);
X->words[i] += c;
c = (X->words[i] < c);
// fprintf(stderr, " = 0x%08x (%u)\n", X->words[i], c);
++i;
}
if (X->words[i] == 0)
--i;
/* compute msb of msw */
for (X->msb = 31; X->msb > 0; --X->msb)
if (X->words[i] & (1 << X->msb))
break;
/* add msw offset */
X->msb += i * 32 + 1;
return (0);
}

82
lib/mpi/mpi_cmp.c Normal file
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@ -0,0 +1,82 @@
/*
* Copyright (c) 2014 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 <stdlib.h>
#include <cryb/mpi.h>
/* n rounded up to nearest multiple of p */
#define RUP(n, p) ((((n) + (p) - 1) / (p)) * (p))
/*
* Compare absolute values
*/
int
mpi_cmp_abs(cryb_mpi *X, cryb_mpi *Y)
{
int i;
/* check width first */
if (X->msb > Y->msb)
return (1);
if (X->msb < Y->msb)
return (-1);
/* no luck, compare word by word */
for (i = X->msb / 32; i >= 0; --i) {
if (X->words[i] > Y->words[i])
return (1);
if (X->words[i] < Y->words[i])
return (-1);
}
return (0);
}
/*
* Compare signed values
*/
int
mpi_cmp(cryb_mpi *X, cryb_mpi *Y)
{
int i;
if (X->neg) {
if (Y->neg)
return (-mpi_cmp_abs(X, Y));
else
return (-1);
} else {
if (Y->neg)
return (1);
else
return (mpi_cmp_abs(X, Y));
}
}

111
lib/mpi/mpi_shift.c Normal file
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@ -0,0 +1,111 @@
/*
* Copyright (c) 2014 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 <cryb/mpi.h>
/*
* Left-shift X by c bytes
*/
int
mpi_lshift(cryb_mpi *X, unsigned int c)
{
unsigned int cl, i;
/* zero shift */
if (c == 0)
return (0);
/* make room */
if (mpi_grow(X, X->msb + c) != 0)
return (-1);
/* preemptively adjust msb */
X->msb += c;
/* try to move whole words first */
if (c >= 32) {
cl = c / 32;
c = c % 32;
memmove(X->words + cl, X->words,
(X->size - cl) * sizeof *X->words);
memset(X->words, 0, cl * sizeof *X->words);
}
/* done? */
if (c == 0)
return (0);
/* the rest has to be done the hard way */
for (i = X->msb / 32; i > 0; --i) {
X->words[i] <<= c;
X->words[i] |= X->words[i - 1] >> (32 - c);
}
X->words[0] <<= c;
/* done! */
return (0);
}
/*
* Right-shift: X >>= c
*/
int
mpi_rshift(cryb_mpi *X, unsigned int c)
{
unsigned int cl, i;
/* zero shift */
if (c == 0)
return (0);
/* shift wider than number, result is zero */
if (X->msb <= c) {
mpi_zero(X);
return (0);
}
/* preemptively adjust msb */
X->msb -= c;
/* try to move whole words first */
if (c >= 32) {
cl = c / 32;
c = c % 32;
memmove(X->words, X->words + cl,
(X->size - cl) * sizeof *X->words);
memset(X->words + X->size - cl, 0, cl * sizeof *X->words);
}
/* done? */
if (c == 0)
return (0);
/* the rest has to be done the hard way */
for (i = 0; i < X->size - 1; ++i) {
X->words[i] >>= c;
X->words[i] |= X->words[i + 1] << (32 - c);
}
X->words[X->size - 1] >>= c;
/* done! */
return (0);
}

83
lib/mpi/mpi_sub.c Normal file
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@ -0,0 +1,83 @@
/*
* Copyright (c) 2014 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 <stdlib.h>
#include <cryb/mpi.h>
/*
* Store the difference between the absolute values of A and B in X.
* XXX safe for either A or B to be the same object as X but not both
*/
int
mpi_sub_abs(cryb_mpi *X, cryb_mpi *A, cryb_mpi *B)
{
unsigned int i;
uint32_t c;
if (X == B)
B = A, A = X;
if (X != A)
mpi_copy(X, A);
/* 0 - 0 = 0 */
if (X->msb == 0 && B->msb == 0)
return (0);
/* make room */
if (mpi_grow(X, X->msb) != 0 || mpi_grow(X, B->msb) != 0)
return (-1);
/* subtract B from X word by word until we run out of B */
for (c = i = 0; i < (B->msb + 31) / 32; ++i) {
// fprintf(stderr, "0x%08x + 0x%08x (%u)", X->words[i], B->words[i], c);
X->words[i] -= c;
c = (X->words[i] > c);
X->words[i] -= B->words[i];
c += (X->words[i] > B->words[i]);
// fprintf(stderr, " = 0x%08x (%u)\n", X->words[i], c);
}
/* keep propagating carry */
while (c) {
// fprintf(stderr, "0x%08x + 0x%08x (%u)", X->words[i], 0, c);
X->words[i] -= c;
c = (X->words[i] > c);
// fprintf(stderr, " = 0x%08x (%u)\n", X->words[i], c);
++i;
}
if (X->words[i] == 0)
--i;
/* compute msb of msw */
for (X->msb = 31; X->msb > 0; --X->msb)
if (X->words[i] & (1 << X->msb))
break;
/* add msw offset */
X->msb += i * 32 + 1;
return (0);
}

4
t/Makefile.am
View file

@ -14,6 +14,7 @@ LDADD = $(builddir)/libt.la \
$(top_builddir)/lib/digest/libcryb-digest.la \ $(top_builddir)/lib/digest/libcryb-digest.la \
$(top_builddir)/lib/hash/libcryb-hash.la \ $(top_builddir)/lib/hash/libcryb-hash.la \
$(top_builddir)/lib/mac/libcryb-mac.la \ $(top_builddir)/lib/mac/libcryb-mac.la \
$(top_builddir)/lib/mpi/libcryb-mpi.la \
$(top_builddir)/lib/rand/libcryb-rand.la \ $(top_builddir)/lib/rand/libcryb-rand.la \
$(top_builddir)/lib/oath/libcryb-oath.la $(top_builddir)/lib/oath/libcryb-oath.la
@ -107,4 +108,7 @@ t_hmac_sha512_openssl_CFLAGS = $(OPENSSL_INCLUDES) $(OPENSSL_CFLAGS)
t_hmac_sha512_openssl_LDADD = $(OPENSSL_LDADD) t_hmac_sha512_openssl_LDADD = $(OPENSSL_LDADD)
endif endif
# libcryb-mpi
TESTS += t_mpi
check_PROGRAMS = $(TESTS) check_PROGRAMS = $(TESTS)

904
t/t_mpi.c Normal file
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@ -0,0 +1,904 @@
/*
* Copyright (c) 2014 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 <assert.h>
#include <stdint.h>
#include <string.h>
#include <cryb/mpi.h>
#include "t.h"
/***************************************************************************
* Useful constants
*/
static cryb_mpi z;
#define LARGE_V_SIZE 256
#define LARGE_E_SIZE 64
static uint8_t large_v[LARGE_V_SIZE];
static uint32_t large_e[LARGE_E_SIZE];
/***************************************************************************
* Commonly used predicates
*/
/*
* Verify that an MPI has never grown.
*/
static int
t_mpi_not_grown(cryb_mpi *x)
{
int ret = 1;
ret &= t_compare_ptr(x->swords, x->words);
ret &= t_compare_sz(CRYB_MPI_SWORDS, x->size);
return (ret);
}
/*
* Verify that an MPI has grown.
*/
static int
t_mpi_grown(cryb_mpi *x)
{
int ret = 1;
/* XXX we need inequality predicates */
if (x->words == x->swords) {
t_verbose("value was expected to change");
ret &= 0;
}
if (x->size == CRYB_MPI_SWORDS) {
t_verbose("value was expected to change");
ret &= 0;
}
return (ret);
}
/*
* Verify that an MPI is zero.
*/
static int
t_mpi_is_zero(cryb_mpi *x)
{
int ret = 1;
ret &= t_mpi_not_grown(x);
ret &= t_compare_mem(t_zero, x->words, CRYB_MPI_SWORDS);
ret &= t_compare_u(0, x->msb);
ret &= t_compare_i(0, x->neg);
return (ret);
}
/***************************************************************************
* Miscellaneous cases
*/
/*
* Test MPI initialization.
*/
static int
t_mpi_init(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x;
memset(&x, 0xff, sizeof x);
mpi_init(&x);
return (t_mpi_is_zero(&x));
}
/*
* Very basic value-setting test, zero.
*/
static int
t_mpi_set_zero(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x;
mpi_init(&x);
mpi_set(&x, 0);
return (t_mpi_is_zero(&x));
}
/*
* As above, but use the "fast init" logic whereby an all-zeroes MPI is
* automatically converted to a valid MPI representing the value zero.
*/
static int
t_mpi_fast_init(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { };
mpi_set(&x, 0);
return (t_mpi_is_zero(&x));
}
/*
* Test successful MPI growth.
*/
static int
t_mpi_grow_ok(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { };
int ret = 1;
mpi_set(&x, 1);
assert(x.words[0] == 1 && x.msb == 1);
ret &= t_compare_i(0, mpi_grow(&x, CRYB_MPI_SWORDS * 32 + 1));
assert(x.words[0] == 1 && x.msb == 1);
ret &= t_mpi_grown(&x);
mpi_destroy(&x);
return (ret);
}
/*
* Test failed MPI growth.
*/
static int
t_mpi_grow_fail(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { };
int ret = 1;
++t_malloc_fail;
ret &= t_compare_i(-1, mpi_grow(&x, CRYB_MPI_SWORDS * 32 + 1));
--t_malloc_fail;
ret &= t_mpi_not_grown(&x);
mpi_destroy(&x);
return (ret);
}
/*
* Double successful MPI growth.
*/
static int
t_mpi_grow_twice(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { };
uint32_t *p;
int ret = 1;
ret &= t_compare_i(0, mpi_grow(&x, CRYB_MPI_SWORDS * 32 + 1));
ret &= t_mpi_grown(&x);
p = x.words;
ret &= t_compare_i(0, mpi_grow(&x, CRYB_MPI_SWORDS * 32 * 2 + 1));
/* XXX we need inequality predicates */
if (x.words == p) {
t_verbose("value was expected to change");
ret &= 0;
}
ret &= t_mpi_grown(&x);
return (ret);
}
/*
* Test the destruction logic with an uninitialized MPI
*/
static int
t_mpi_destroy_uninit(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { };
mpi_destroy(&x);
return (t_mpi_is_zero(&x));
}
/*
* Test the destruction logic with an MPI that hasn't grown
*/
static int
t_mpi_destroy_static(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { };
assert(sizeof large_v >= sizeof x.swords);
mpi_load(&x, large_v, sizeof x.swords);
assert(x.words == x.swords);
mpi_destroy(&x);
return (t_mpi_is_zero(&x));
}
/*
* Test the destruction logic with an MPI that has grown
*/
static int
t_mpi_destroy_grown(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { };
assert(sizeof large_v > sizeof x.swords);
mpi_load(&x, large_v, sizeof large_v);
assert(x.words != x.swords);
mpi_destroy(&x);
return (t_mpi_is_zero(&x));
}
/***************************************************************************
* Assignment, negation, copying, swapping
*/
/*
* Assign a positive value.
*/
static int
t_mpi_set_positive(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x;
int ret = 1;
mpi_init(&x);
mpi_set(&x, 0x19700101);
ret &= t_mpi_not_grown(&x);
ret &= t_compare_x32(0x19700101, x.words[0]);
ret &= t_compare_u(29, x.msb);
ret &= t_compare_i(0, x.neg);
return (ret);
}
/*
* Assign a negative value.
*/
static int
t_mpi_set_negative(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x;
int ret = 1;
mpi_init(&x);
mpi_set(&x, -0x19700101);
ret &= t_mpi_not_grown(&x);
ret &= t_compare_x32(0x19700101, x.words[0]);
ret &= t_compare_u(29, x.msb);
ret &= t_compare_u(1, x.neg);
return (ret);
}
/*
* Negate zero
*/
static int
t_mpi_negate_zero(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { };
mpi_zero(&x);
assert(x.words[0] == 0 && x.msb == 0 && x.neg == 0);
mpi_negate(&x);
return (t_mpi_is_zero(&x));
}
/*
* Negate non-zero, back and forth
*/
static int
t_mpi_negate_nonzero(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { };
int ret = 1;
mpi_set(&x, -0x19700101);
ret &= t_compare_x32(0x19700101, x.words[0]);
assert(x.words[0] == 0x19700101 && x.msb == 29 && x.neg == 1);
mpi_negate(&x);
ret &= t_mpi_not_grown(&x);
ret &= t_compare_x32(0x19700101, x.words[0]);
ret &= t_compare_u(29, x.msb);
ret &= t_compare_u(0, x.neg);
mpi_negate(&x);
ret &= t_mpi_not_grown(&x);
ret &= t_compare_x32(0x19700101, x.words[0]);
ret &= t_compare_u(29, x.msb);
ret &= t_compare_u(1, x.neg);
return (ret);
}
/*
* Copy an MPI into itself
*/
static int
t_mpi_copy_same(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { };
int ret = 1;
/* how do you really test this? oh well */
mpi_set(&x, -0x19700101);
assert(x.words[0] == 0x19700101 && x.msb == 29 && x.neg == 1);
mpi_copy(&x, &x);
ret &= t_mpi_not_grown(&x);
ret &= t_compare_x32(0x19700101, x.words[0]);
ret &= t_compare_u(29, x.msb);
ret &= t_compare_u(1, x.neg);
return (ret);
}
/*
* Copy a static MPI into another
*/
static int
t_mpi_copy_static(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { }, y = { };
int ret = 1;
mpi_set(&x, -0x19700101);
assert(x.words[0] == 0x19700101 && x.msb == 29 && x.neg == 1);
mpi_copy(&y, &x);
ret &= t_mpi_not_grown(&y);
ret &= t_compare_x32(0x19700101, y.words[0]);
ret &= t_compare_u(29, y.msb);
ret &= t_compare_u(1, y.neg);
return (ret);
}
/*
* Copy a force-grown MPI
*/
static int
t_mpi_copy_grown(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { }, y = { };
int ret = 1;
mpi_set(&x, -0x19700101);
assert(x.words[0] == 0x19700101 && x.msb == 29 && x.neg == 1);
/* the original is larger than necessary */
mpi_grow(&x, CRYB_MPI_SWORDS * 32 + 1);
assert(x.words != x.swords && x.size > CRYB_MPI_SWORDS);
mpi_copy(&y, &x);
/* the copy is just large enough to fit the actual value */
ret &= t_mpi_not_grown(&y);
ret &= t_compare_x32(0x19700101, y.words[0]);
ret &= t_compare_u(29, y.msb);
ret &= t_compare_u(1, y.neg);
return (ret);
}
/*
* Copy an organically-grown MPI
*/
static int
t_mpi_copy_long(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { }, y = { };
int ret = 1;
mpi_load(&x, large_v, sizeof large_v);
assert(x.words != x.swords && x.size > CRYB_MPI_SWORDS &&
memcmp(x.words, large_e, sizeof large_e) == 0);
mpi_copy(&y, &x);
ret &= t_mpi_grown(&y);
ret &= t_compare_mem(x.words, y.words, (x.msb + 7) / 8);
ret &= t_compare_u(x.msb, y.msb);
ret &= t_compare_u(x.neg, y.neg);
return (ret);
}
/*
* Swap two values (not grown)
*/
static int
t_mpi_swap_static(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { }, y = { };
int ret = 1;
mpi_set(&x, -0x19700101);
assert(x.words[0] == 0x19700101 && x.msb == 29 && x.neg == 1);
mpi_set(&y, 0x20140901);
assert(y.words[0] == 0x20140901 && y.msb == 30 && y.neg == 0);
mpi_swap(&x, &y);
ret &= t_compare_x32(0x20140901, x.words[0]);
ret &= t_compare_u(30, x.msb);
ret &= t_compare_u(0, x.neg);
ret &= t_compare_x32(0x19700101, y.words[0]);
ret &= t_compare_u(29, y.msb);
ret &= t_compare_u(1, y.neg);
return (ret);
}
/*
* Swap two values (grown)
*/
static int
t_mpi_swap_grown(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { }, y = { };
int ret = 1;
mpi_set(&x, -0x19700101);
mpi_grow(&x, CRYB_MPI_SWORDS * 32 + 1);
assert(x.words != x.swords && x.words[0] == 0x19700101 &&
x.msb == 29 && x.neg == 1);
mpi_set(&y, 0x20140901);
mpi_grow(&y, CRYB_MPI_SWORDS * 32 + 1);
assert(y.words != y.swords && y.words[0] == 0x20140901 &&
y.msb == 30 && y.neg == 0);
mpi_swap(&x, &y);
ret &= t_compare_x32(0x20140901, x.words[0]);
ret &= t_compare_u(30, x.msb);
ret &= t_compare_u(0, x.neg);
ret &= t_compare_x32(0x19700101, y.words[0]);
ret &= t_compare_u(29, y.msb);
ret &= t_compare_u(1, y.neg);
return (ret);
}
/***************************************************************************
* Load / store
*/
static struct t_load_case {
const char *desc;
uint8_t v[16];
size_t vlen;
uint32_t e[4];
unsigned int msb;
} t_load_cases[] = {
{
"load nothing",
{ }, 0,
{ 0x00000000, }, 0,
},
{
"load 0x00",
{ 0x00, }, 1,
{ 0x00000000, }, 0,
},
{
"load 0x01",
{ 0x01, }, 1,
{ 0x00000001, }, 1,
},
{
"load 0x0102",
{ 0x01, 0x02, }, 2,
{ 0x00000102, }, 9,
},
{
"load 0x010203",
{ 0x01, 0x02, 0x03, }, 3,
{ 0x00010203, }, 17,
},
{
"load 0x01020304",
{ 0x01, 0x02, 0x03, 0x04, }, 4,
{ 0x01020304, }, 25,
},
{
"load 0x0102030405",
{ 0x01, 0x02, 0x03, 0x04, 0x05, }, 5,
{ 0x02030405, 0x00000001, }, 33,
},
{
"load 0x010203040506",
{ 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, }, 6,
{ 0x03040506, 0x00000102, }, 41,
},
{
"load 0x01020304050607",
{ 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, }, 7,
{ 0x04050607, 0x00010203, }, 49,
},
{
"load 0x0102030405060708",
{ 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, }, 8,
{ 0x05060708, 0x01020304, }, 57,
},
};
/*
* Load a string of bytes, verify result.
*/
static int
t_mpi_load(char **desc CRYB_UNUSED, void *arg)
{
struct t_load_case *tc = arg;
cryb_mpi x = { };
int ret = 1;
mpi_load(&x, tc->v, tc->vlen);
ret &= t_compare_mem(tc->e, x.words, sizeof tc->e);
ret &= t_compare_u(tc->msb, x.msb);
return (ret);
}
/*
* As above, but with a large number to force reallocation.
*/
static int
t_mpi_large_load(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { };
int ret = 1;
mpi_load(&x, large_v, sizeof large_v);
if (x.words == x.swords) {
t_verbose("reallocation failed to occur");
return (0);
}
ret &= t_compare_mem(large_e, x.words, sizeof large_e);
ret &= t_compare_u(256 * 8, x.msb);
return (ret);
}
/***************************************************************************
* Left / right shift
*/
static struct t_lsh_case {
const char *desc;
uint8_t v[16];
size_t vlen;
unsigned int n;
uint8_t e[16];
size_t elen;
} t_lsh_cases[] = {
{
"0x00 << 0 == 0x00",
{ 0x00, }, 1,
0,
{ 0x00, }, 1,
},
{
"0x00 << 1 == 0x00",
{ 0x00, }, 1,
1,
{ 0x00, }, 1,
},
{
"0x01 << 0 == 0x01",
{ 0x01, }, 1,
0,
{ 0x01, }, 1,
},
{
"0x01 << 1 == 0x02",
{ 0x01, }, 1,
1,
{ 0x02, }, 1,
},
{
"0x11 << 1 == 0x22",
{ 0x11, }, 1,
1,
{ 0x22, }, 1,
},
{
"0x11 << 32 == 0x1100000000",
{ 0x00, 0x00, 0x00, 0x11, }, 4,
32,
{ 0x11, 0x00, 0x00, 0x00, 0x00, }, 5,
},
{
"0x22 << 31 == 0x1100000000",
{ 0x00, 0x00, 0x00, 0x22, }, 4,
31,
{ 0x11, 0x00, 0x00, 0x00, 0x00, }, 5,
},
{
"0x80000000 << 1 == 0x100000000",
{ 0x80, 0x00, 0x00, 0x00, }, 4,
1,
{ 0x01, 0x00, 0x00, 0x00, 0x00, }, 5,
},
};
/*
* Load a number, left-shift it and verify the result.
*/
static int
t_mpi_lsh(char **desc CRYB_UNUSED, void *arg)
{
struct t_lsh_case *tc = arg;
cryb_mpi x = { }, e = { };
mpi_load(&x, tc->v, tc->vlen);
mpi_load(&e, tc->e, tc->elen);
mpi_lshift(&x, tc->n);
return (t_compare_mem(e.swords, x.swords, sizeof e.swords));
}
/*
* As above, but with an initial number large enough to cause an overflow
* and reallocation.
*/
static int
t_mpi_large_lsh(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi x = { };
int ret = 1;
mpi_load(&x, large_v, sizeof large_v);
mpi_lshift(&x, 32);
if (x.size < LARGE_E_SIZE + 1) {
t_verbose("reallocation failed to occur");
return (0);
}
ret &= t_compare_mem(t_zero, x.words, sizeof x.words[0]);
ret &= t_compare_mem(large_e, x.words + 1, sizeof large_e);
ret &= t_compare_u(256 * 8 + 32, x.msb);
return (ret);
}
static struct t_rsh_case {
const char *desc;
uint8_t v[16];
size_t vlen;
unsigned int n;
uint8_t e[16];
size_t elen;
} t_rsh_cases[] = {
{
"0x00 >> 0 == 0x00",
{ 0x00, }, 1,
0,
{ 0x00, }, 1,
},
{
"0x00 >> 1 == 0x00",
{ 0x00, }, 1,
1,
{ 0x00, }, 1,
},
{
"0x01 >> 1 == 0x00",
{ 0x01, }, 1,
1,
{ 0x00, }, 1,
},
{
"0x02 >> 1 == 0x01",
{ 0x02, }, 1,
1,
{ 0x01, }, 1,
},
{
"0x22 >> 1 == 0x11",
{ 0x22, }, 1,
1,
{ 0x11, }, 1,
},
{
"0x1100000000 >> 32 == 0x11",
{ 0x11, 0x00, 0x00, 0x00, 0x00, }, 5,
32,
{ 0x00, 0x00, 0x00, 0x11, }, 4,
},
{
"0x1100000000 >> 31 == 0x22",
{ 0x11, 0x00, 0x00, 0x00, 0x00, }, 5,
31,
{ 0x00, 0x00, 0x00, 0x22, }, 4,
},
{
"0x100000000 >> 1 == 0x80000000",
{ 0x01, 0x00, 0x00, 0x00, 0x00, }, 5,
1,
{ 0x80, 0x00, 0x00, 0x00, }, 4,
},
};
/*
* Load a number, right-shift it and verify the result.
*/
static int
t_mpi_rsh(char **desc CRYB_UNUSED, void *arg)
{
struct t_rsh_case *tc = arg;
cryb_mpi x = { }, e = { };
mpi_load(&x, tc->v, tc->vlen);
mpi_load(&e, tc->e, tc->elen);
mpi_rshift(&x, tc->n);
return (t_compare_mem(e.swords, x.swords, sizeof e.swords));
}
/***************************************************************************
* Addition / subtraction
*/
static struct t_add_case {
const char *desc;
uint8_t a[16];
size_t amsb;
uint8_t b[16];
size_t bmsb;
uint8_t e[16];
size_t emsb;
} t_add_cases[] = {
{
"0 + 0 == 0",
{ }, 0,
{ }, 0,
{ }, 0,
},
{
"0 + 1 == 1",
{ }, 0,
{ 0x01, }, 1,
{ 0x01, }, 1,
},
{
"1 + 0 == 1",
{ 0x01, }, 1,
{ }, 0,
{ 0x01, }, 1,
},
{
"2 + 2 == 4",
{ 0x02, }, 2,
{ 0x02, }, 2,
{ 0x04, }, 3,
},
{
/* simple carry */
"0xffffffff + 0x01 = 0x0100000000",
{ 0xff, 0xff, 0xff, 0xff, }, 32,
{ 0x01, }, 1,
{ 0x01, 0x00, 0x00, 0x00, 0x00, }, 33,
},
{
/* complex carry */
"0xffffffffffffffff + 0x0100000001 = 0x010000000100000000",
{ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, }, 64,
{ 0x01, 0x00, 0x00, 0x00, 0x01, }, 33,
{ 0x01, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, }, 65,
},
};
static int
t_mpi_add(char **desc CRYB_UNUSED, void *arg)
{
struct t_add_case *tc = arg;
cryb_mpi a = { }, b = { }, e = { }, x = { };
int ret = 1;
mpi_load(&a, tc->a, (tc->amsb + 7) / 8);
mpi_load(&b, tc->b, (tc->bmsb + 7) / 8);
mpi_load(&e, tc->e, (tc->emsb + 7) / 8);
mpi_add_abs(&x, &a, &b);
ret &= t_compare_mem(e.swords, x.swords, CRYB_MPI_SWORDS);
ret &= t_compare_u(e.msb, x.msb);
ret &= t_compare_u(e.neg, x.neg);
return (ret);
}
/*
* Target is the first operand
*/
static int
t_mpi_add_b_to_a(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi a = { }, b = { }, e = { };
int ret = 1;
mpi_set(&a, 0x19700101);
mpi_set(&b, 0x20140901);
mpi_set(&e, 0x19700101 + 0x20140901);
mpi_add_abs(&a, &a, &b);
ret &= t_compare_mem(e.swords, a.swords, CRYB_MPI_SWORDS);
ret &= t_compare_u(e.msb, a.msb);
ret &= t_compare_u(e.neg, a.neg);
return (ret);
}
/*
* Target is the second operand
*/
static int
t_mpi_add_a_to_b(char **desc CRYB_UNUSED, void *arg CRYB_UNUSED)
{
cryb_mpi a = { }, b = { }, e = { };
int ret = 1;
mpi_set(&a, 0x19700101);
mpi_set(&b, 0x20140901);
mpi_set(&e, 0x19700101 + 0x20140901);
mpi_add_abs(&b, &a, &b);
ret &= t_compare_mem(e.swords, b.swords, CRYB_MPI_SWORDS);
ret &= t_compare_u(e.msb, b.msb);
ret &= t_compare_u(e.neg, b.neg);
return (ret);
}
/***************************************************************************
* Boilerplate
*/
int
t_prepare(int argc, char *argv[])
{
unsigned int i;
(void)argc;
(void)argv;
/* initialize constants used in multiple test cases */
mpi_zero(&z); /* circular... */
for (i = 0; i < 256; ++i)
large_v[i] = ~i;
for (i = 0; i < 64; ++i)
large_e[63 - i] =
large_v[i * 4] << 24 | large_v[i * 4 + 1] << 16 |
large_v[i * 4 + 2] << 8 | large_v[i * 4 + 3];
/* basic tests */
t_add_test(t_mpi_init, NULL, "init");
t_add_test(t_mpi_set_zero, NULL, "set to 0");
t_add_test(t_mpi_fast_init, NULL, "fast init");
t_add_test(t_mpi_grow_ok, NULL, "grow (success)");
t_add_test(t_mpi_grow_fail, NULL, "grow (failure)");
t_add_test(t_mpi_grow_twice, NULL, "grow (twice)");
t_add_test(t_mpi_destroy_uninit, NULL, "destroy static");
t_add_test(t_mpi_destroy_static, NULL, "destroy static");
t_add_test(t_mpi_destroy_grown, NULL, "destroy grown");
/* assignment, copying, negation, swapping */
t_add_test(t_mpi_set_positive, NULL, "set to positive value");
t_add_test(t_mpi_set_negative, NULL, "set to negative value");
t_add_test(t_mpi_negate_zero, NULL, "negate zero");
t_add_test(t_mpi_negate_nonzero, NULL, "negate nonzero");
t_add_test(t_mpi_copy_same, NULL, "copy (same)");
t_add_test(t_mpi_copy_static, NULL, "copy (static)");
t_add_test(t_mpi_copy_grown, NULL, "copy (grown)");
t_add_test(t_mpi_copy_long, NULL, "copy (long)");
t_add_test(t_mpi_swap_static, NULL, "swap (static)");
t_add_test(t_mpi_swap_grown, NULL, "swap (grown)");
for (i = 0; i < sizeof t_load_cases / sizeof t_load_cases[0]; ++i)
t_add_test(t_mpi_load, &t_load_cases[i], t_load_cases[i].desc);
t_add_test(t_mpi_large_load, NULL, "large load");
for (i = 0; i < sizeof t_lsh_cases / sizeof t_lsh_cases[0]; ++i)
t_add_test(t_mpi_lsh, &t_lsh_cases[i], t_lsh_cases[i].desc);
t_add_test(t_mpi_large_lsh, NULL, "large left shift");
for (i = 0; i < sizeof t_rsh_cases / sizeof t_rsh_cases[0]; ++i)
t_add_test(t_mpi_rsh, &t_rsh_cases[i], t_rsh_cases[i].desc);
for (i = 0; i < sizeof t_add_cases / sizeof t_add_cases[0]; ++i)
t_add_test(t_mpi_add, &t_add_cases[i], t_add_cases[i].desc);
t_add_test(t_mpi_add_a_to_b, NULL, "add into first operand");
t_add_test(t_mpi_add_b_to_a, NULL, "add into second operand");
return (0);
}
void
t_cleanup(void)
{
}