2023-06-04 17:13:21 -07:00

657 lines
13 KiB
C

/* $OpenBSD: bn_convert.c,v 1.8 2023/05/09 05:15:55 jsing Exp $ */
/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
* All rights reserved.
*
* This package is an SSL implementation written
* by Eric Young (eay@cryptsoft.com).
* The implementation was written so as to conform with Netscapes SSL.
*
* This library is free for commercial and non-commercial use as long as
* the following conditions are aheared to. The following conditions
* apply to all code found in this distribution, be it the RC4, RSA,
* lhash, DES, etc., code; not just the SSL code. The SSL documentation
* included with this distribution is covered by the same copyright terms
* except that the holder is Tim Hudson (tjh@cryptsoft.com).
*
* Copyright remains Eric Young's, and as such any Copyright notices in
* the code are not to be removed.
* If this package is used in a product, Eric Young should be given attribution
* as the author of the parts of the library used.
* This can be in the form of a textual message at program startup or
* in documentation (online or textual) provided with the package.
*
* 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 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. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* "This product includes cryptographic software written by
* Eric Young (eay@cryptsoft.com)"
* The word 'cryptographic' can be left out if the rouines from the library
* being used are not cryptographic related :-).
* 4. If you include any Windows specific code (or a derivative thereof) from
* the apps directory (application code) you must include an acknowledgement:
* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
*
* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``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.
*
* The licence and distribution terms for any publically available version or
* derivative of this code cannot be changed. i.e. this code cannot simply be
* copied and put under another distribution licence
* [including the GNU Public Licence.]
*/
#include <ctype.h>
#include <limits.h>
#include <stdio.h>
#include <string.h>
#include <openssl/opensslconf.h>
#include <openssl/bio.h>
#include <openssl/buffer.h>
#include <openssl/err.h>
#include "bn_local.h"
#include "bytestring.h"
static const char hex_digits[] = "0123456789ABCDEF";
typedef enum {
big,
little,
} endianness_t;
/* ignore negative */
static int
bn2binpad(const BIGNUM *a, unsigned char *to, int tolen, endianness_t endianness)
{
int n;
size_t i, lasti, j, atop, mask;
BN_ULONG l;
/*
* In case |a| is fixed-top, BN_num_bytes can return bogus length,
* but it's assumed that fixed-top inputs ought to be "nominated"
* even for padded output, so it works out...
*/
n = BN_num_bytes(a);
if (tolen == -1)
tolen = n;
else if (tolen < n) { /* uncommon/unlike case */
BIGNUM temp = *a;
bn_correct_top(&temp);
n = BN_num_bytes(&temp);
if (tolen < n)
return -1;
}
/* Swipe through whole available data and don't give away padded zero. */
atop = a->dmax * BN_BYTES;
if (atop == 0) {
explicit_bzero(to, tolen);
return tolen;
}
lasti = atop - 1;
atop = a->top * BN_BYTES;
if (endianness == big)
to += tolen; /* start from the end of the buffer */
for (i = 0, j = 0; j < (size_t)tolen; j++) {
unsigned char val;
l = a->d[i / BN_BYTES];
mask = 0 - ((j - atop) >> (8 * sizeof(i) - 1));
val = (unsigned char)(l >> (8 * (i % BN_BYTES)) & mask);
if (endianness == big)
*--to = val;
else
*to++ = val;
i += (i - lasti) >> (8 * sizeof(i) - 1); /* stay on last limb */
}
return tolen;
}
int
BN_bn2bin(const BIGNUM *a, unsigned char *to)
{
return bn2binpad(a, to, -1, big);
}
int
BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen)
{
if (tolen < 0)
return -1;
return bn2binpad(a, to, tolen, big);
}
BIGNUM *
BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret)
{
unsigned int i, m;
unsigned int n;
BN_ULONG l;
BIGNUM *bn = NULL;
if (len < 0)
return (NULL);
if (ret == NULL)
ret = bn = BN_new();
if (ret == NULL)
return (NULL);
l = 0;
n = len;
if (n == 0) {
ret->top = 0;
return (ret);
}
i = ((n - 1) / BN_BYTES) + 1;
m = ((n - 1) % (BN_BYTES));
if (!bn_wexpand(ret, (int)i)) {
BN_free(bn);
return NULL;
}
ret->top = i;
ret->neg = 0;
while (n--) {
l = (l << 8L) | *(s++);
if (m-- == 0) {
ret->d[--i] = l;
l = 0;
m = BN_BYTES - 1;
}
}
/* need to call this due to clear byte at top if avoiding
* having the top bit set (-ve number) */
bn_correct_top(ret);
return (ret);
}
int
BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen)
{
if (tolen < 0)
return -1;
return bn2binpad(a, to, tolen, little);
}
BIGNUM *
BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret)
{
unsigned int i, m, n;
BN_ULONG l;
BIGNUM *bn = NULL;
if (ret == NULL)
ret = bn = BN_new();
if (ret == NULL)
return NULL;
s += len;
/* Skip trailing zeroes. */
for (; len > 0 && s[-1] == 0; s--, len--)
continue;
n = len;
if (n == 0) {
ret->top = 0;
return ret;
}
i = ((n - 1) / BN_BYTES) + 1;
m = (n - 1) % BN_BYTES;
if (!bn_wexpand(ret, (int)i)) {
BN_free(bn);
return NULL;
}
ret->top = i;
ret->neg = 0;
l = 0;
while (n-- > 0) {
s--;
l = (l << 8L) | *s;
if (m-- == 0) {
ret->d[--i] = l;
l = 0;
m = BN_BYTES - 1;
}
}
/*
* need to call this due to clear byte at top if avoiding having the
* top bit set (-ve number)
*/
bn_correct_top(ret);
return ret;
}
int
BN_asc2bn(BIGNUM **bn, const char *a)
{
const char *p = a;
if (*p == '-')
p++;
if (p[0] == '0' && (p[1] == 'X' || p[1] == 'x')) {
if (!BN_hex2bn(bn, p + 2))
return 0;
} else {
if (!BN_dec2bn(bn, p))
return 0;
}
if (*a == '-')
BN_set_negative(*bn, 1);
return 1;
}
char *
BN_bn2dec(const BIGNUM *bn)
{
int started = 0;
BIGNUM *tmp = NULL;
uint8_t *data = NULL;
size_t data_len = 0;
uint8_t *s = NULL;
size_t s_len;
BN_ULONG v, w;
uint8_t c;
CBB cbb;
CBS cbs;
int i;
if (!CBB_init(&cbb, 0))
goto err;
if ((tmp = BN_dup(bn)) == NULL)
goto err;
/*
* Divide the BIGNUM by a large multiple of 10, then break the remainder
* into decimal digits. This produces a reversed string of digits,
* potentially with leading zeroes.
*/
while (!BN_is_zero(tmp)) {
if ((w = BN_div_word(tmp, BN_DEC_CONV)) == -1)
goto err;
for (i = 0; i < BN_DEC_NUM; i++) {
v = w % 10;
if (!CBB_add_u8(&cbb, '0' + v))
goto err;
w /= 10;
}
}
if (!CBB_finish(&cbb, &data, &data_len))
goto err;
if (data_len > SIZE_MAX - 3)
goto err;
if (!CBB_init(&cbb, data_len + 3))
goto err;
if (BN_is_negative(bn)) {
if (!CBB_add_u8(&cbb, '-'))
goto err;
}
/* Reverse digits and trim leading zeroes. */
CBS_init(&cbs, data, data_len);
while (CBS_len(&cbs) > 0) {
if (!CBS_get_last_u8(&cbs, &c))
goto err;
if (!started && c == '0')
continue;
if (!CBB_add_u8(&cbb, c))
goto err;
started = 1;
}
if (!started) {
if (!CBB_add_u8(&cbb, '0'))
goto err;
}
if (!CBB_add_u8(&cbb, '\0'))
goto err;
if (!CBB_finish(&cbb, &s, &s_len))
goto err;
err:
BN_free(tmp);
CBB_cleanup(&cbb);
freezero(data, data_len);
return s;
}
int
BN_dec2bn(BIGNUM **bn, const char *a)
{
BIGNUM *ret = NULL;
BN_ULONG l = 0;
int neg = 0, i, j;
int num;
if ((a == NULL) || (*a == '\0'))
return (0);
if (*a == '-') {
neg = 1;
a++;
}
for (i = 0; i <= (INT_MAX / 4) && isdigit((unsigned char)a[i]); i++)
;
if (i > INT_MAX / 4)
return (0);
num = i + neg;
if (bn == NULL)
return (num);
/* a is the start of the digits, and it is 'i' long.
* We chop it into BN_DEC_NUM digits at a time */
if (*bn == NULL) {
if ((ret = BN_new()) == NULL)
return (0);
} else {
ret = *bn;
BN_zero(ret);
}
/* i is the number of digits, a bit of an over expand */
if (!bn_expand(ret, i * 4))
goto err;
j = BN_DEC_NUM - (i % BN_DEC_NUM);
if (j == BN_DEC_NUM)
j = 0;
l = 0;
while (*a) {
l *= 10;
l += *a - '0';
a++;
if (++j == BN_DEC_NUM) {
if (!BN_mul_word(ret, BN_DEC_CONV))
goto err;
if (!BN_add_word(ret, l))
goto err;
l = 0;
j = 0;
}
}
bn_correct_top(ret);
BN_set_negative(ret, neg);
*bn = ret;
return (num);
err:
if (*bn == NULL)
BN_free(ret);
return (0);
}
char *
BN_bn2hex(const BIGNUM *bn)
{
int started = 0;
uint8_t *s = NULL;
size_t s_len;
BN_ULONG v, w;
int i, j;
CBB cbb;
if (!CBB_init(&cbb, 0))
goto err;
if (BN_is_negative(bn)) {
if (!CBB_add_u8(&cbb, '-'))
goto err;
}
if (BN_is_zero(bn)) {
if (!CBB_add_u8(&cbb, '0'))
goto err;
}
for (i = bn->top - 1; i >= 0; i--) {
w = bn->d[i];
for (j = BN_BITS2 - 8; j >= 0; j -= 8) {
v = (w >> j) & 0xff;
if (!started && v == 0)
continue;
if (!CBB_add_u8(&cbb, hex_digits[v >> 4]))
goto err;
if (!CBB_add_u8(&cbb, hex_digits[v & 0xf]))
goto err;
started = 1;
}
}
if (!CBB_add_u8(&cbb, '\0'))
goto err;
if (!CBB_finish(&cbb, &s, &s_len))
goto err;
err:
CBB_cleanup(&cbb);
return s;
}
int
BN_hex2bn(BIGNUM **bn, const char *a)
{
BIGNUM *ret = NULL;
BN_ULONG l = 0;
int neg = 0, h, m, i,j, k, c;
int num;
if ((a == NULL) || (*a == '\0'))
return (0);
if (*a == '-') {
neg = 1;
a++;
}
for (i = 0; i <= (INT_MAX / 4) && isxdigit((unsigned char)a[i]); i++)
;
if (i > INT_MAX / 4)
return (0);
num = i + neg;
if (bn == NULL)
return (num);
/* a is the start of the hex digits, and it is 'i' long */
if (*bn == NULL) {
if ((ret = BN_new()) == NULL)
return (0);
} else {
ret = *bn;
BN_zero(ret);
}
/* i is the number of hex digits */
if (!bn_expand(ret, i * 4))
goto err;
j = i; /* least significant 'hex' */
m = 0;
h = 0;
while (j > 0) {
m = ((BN_BYTES * 2) <= j) ? (BN_BYTES * 2) : j;
l = 0;
for (;;) {
c = a[j - m];
if ((c >= '0') && (c <= '9'))
k = c - '0';
else if ((c >= 'a') && (c <= 'f'))
k = c - 'a' + 10;
else if ((c >= 'A') && (c <= 'F'))
k = c - 'A' + 10;
else
k = 0; /* paranoia */
l = (l << 4) | k;
if (--m <= 0) {
ret->d[h++] = l;
break;
}
}
j -= (BN_BYTES * 2);
}
ret->top = h;
bn_correct_top(ret);
BN_set_negative(ret, neg);
*bn = ret;
return (num);
err:
if (*bn == NULL)
BN_free(ret);
return (0);
}
int
BN_bn2mpi(const BIGNUM *a, unsigned char *d)
{
int bits;
int num = 0;
int ext = 0;
long l;
bits = BN_num_bits(a);
num = (bits + 7) / 8;
if (bits > 0) {
ext = ((bits & 0x07) == 0);
}
if (d == NULL)
return (num + 4 + ext);
l = num + ext;
d[0] = (unsigned char)(l >> 24) & 0xff;
d[1] = (unsigned char)(l >> 16) & 0xff;
d[2] = (unsigned char)(l >> 8) & 0xff;
d[3] = (unsigned char)(l) & 0xff;
if (ext)
d[4] = 0;
num = BN_bn2bin(a, &(d[4 + ext]));
if (a->neg)
d[4] |= 0x80;
return (num + 4 + ext);
}
BIGNUM *
BN_mpi2bn(const unsigned char *d, int n, BIGNUM *ain)
{
BIGNUM *a = ain;
long len;
int neg = 0;
if (n < 4) {
BNerror(BN_R_INVALID_LENGTH);
return (NULL);
}
len = ((long)d[0] << 24) | ((long)d[1] << 16) | ((int)d[2] << 8) |
(int)d[3];
if ((len + 4) != n) {
BNerror(BN_R_ENCODING_ERROR);
return (NULL);
}
if (a == NULL)
a = BN_new();
if (a == NULL)
return (NULL);
if (len == 0) {
a->neg = 0;
a->top = 0;
return (a);
}
d += 4;
if ((*d) & 0x80)
neg = 1;
if (BN_bin2bn(d, (int)len, a) == NULL) {
if (ain == NULL)
BN_free(a);
return (NULL);
}
BN_set_negative(a, neg);
if (neg) {
BN_clear_bit(a, BN_num_bits(a) - 1);
}
return (a);
}
#ifndef OPENSSL_NO_BIO
int
BN_print_fp(FILE *fp, const BIGNUM *a)
{
BIO *b;
int ret;
if ((b = BIO_new(BIO_s_file())) == NULL)
return (0);
BIO_set_fp(b, fp, BIO_NOCLOSE);
ret = BN_print(b, a);
BIO_free(b);
return (ret);
}
int
BN_print(BIO *bp, const BIGNUM *a)
{
int i, j, v, z = 0;
int ret = 0;
if ((a->neg) && (BIO_write(bp, "-", 1) != 1))
goto end;
if (BN_is_zero(a) && (BIO_write(bp, "0", 1) != 1))
goto end;
for (i = a->top - 1; i >= 0; i--) {
for (j = BN_BITS2 - 4; j >= 0; j -= 4) {
/* strip leading zeros */
v = ((int)(a->d[i] >> (long)j)) & 0x0f;
if (z || (v != 0)) {
if (BIO_write(bp, &hex_digits[v], 1) != 1)
goto end;
z = 1;
}
}
}
ret = 1;
end:
return (ret);
}
#endif