/*
* Copyright (C) 2017 - This file is part of libecc project
*
* Authors:
* Ryad BENADJILA <ryadbenadjila@gmail.com>
* Arnaud EBALARD <arnaud.ebalard@ssi.gouv.fr>
* Jean-Pierre FLORI <jean-pierre.flori@ssi.gouv.fr>
*
* Contributors:
* Nicolas VIVET <nicolas.vivet@ssi.gouv.fr>
* Karim KHALFALLAH <karim.khalfallah@ssi.gouv.fr>
*
* This software is licensed under a dual BSD and GPL v2 license.
* See LICENSE file at the root folder of the project.
*/
#define NN_CONSISTENCY_CHECK
#include <libecc/nn/nn.h>
/*
* Used for the conditional swap algorithm SCA
* resistance, see below in the implementation of
* nn_cnd_swap.
*/
#include <libecc/utils/utils_rand.h>
/*
* Except otherwise specified, all functions accept *initialized* nn.
* The WORD(NN_MAX_WORD_LEN + WORDSIZE) magic is here to detect modules
* compiled with different WORDSIZE or NN_MAX_WORD_LEN and are binary
* incompatible.
*/
#define NN_MAGIC ((word_t)((0xb4cf5d56e2023316ULL ^ (WORD(NN_MAX_WORD_LEN + WORDSIZE)))))
/*
* Local helper internally used to check that the storage space
* above wlen is made of zero words. The function does NOT check
* if given nn has been initialized. This must have been done
* by the caller.
*
* Due to its performance cost, this consistency check is used
* in SHOULD_HAVE macros, meaning that it will only be present
* in DEBUG mode. Hence the ATTRIBUTE_UNUSED so that no warning
* (error in -Werror) is triggered at compilation time.
*
*/
ATTRIBUTE_WARN_UNUSED_RET static int ATTRIBUTE_UNUSED __nn_is_wlen_consistent(nn_src_t A)
{
word_t val = 0;
u8 i;
for (i = A->wlen; i < NN_MAX_WORD_LEN; i++) {
val |= (A)->val[i];
}
return (val == 0);
}
/*
* Verify that pointed nn has already been initialized. This function
* should be used as a safety net in all function before using a nn
* received as parameter. Returns 0 on success, -1 on error.
*/
int nn_check_initialized(nn_src_t A)
{
int ret;
MUST_HAVE((A != NULL), ret, err);
MUST_HAVE((A->magic == NN_MAGIC), ret, err);
MUST_HAVE((A->wlen <= NN_MAX_WORD_LEN), ret, err);
SHOULD_HAVE(__nn_is_wlen_consistent(A), ret, err);
ret = 0;
err:
return ret;
}
/*
* Initialize nn from expected initial byte length 'len', setting its wlen
* to associated (ceil) value and clearing whole storage space. Return 0
* on success, -1 on error.
*/
int nn_init(nn_t A, u16 len)
{
int ret;
u8 i;
MUST_HAVE(((A != NULL) && (len <= NN_MAX_BYTE_LEN)), ret, err);
A->wlen = (u8)BYTE_LEN_WORDS(len);
A->magic = NN_MAGIC;
for (i = 0; i < NN_MAX_WORD_LEN; i++) {
A->val[i] = WORD(0);
}
ret = 0;
err:
return ret;
}
/*
* Uninitialize the pointed nn to prevent further use (magic field in the
* structure is zeroized). The associated storage space is also zeroized. If
* given pointer is NULL or does not point to an initialized nn, the function
* does nothing.
*/
void nn_uninit(nn_t A)
{
if ((A != NULL) && (A->magic == NN_MAGIC)) {
int i;
for (i = 0; i < NN_MAX_WORD_LEN; i++) {
A->val[i] = WORD(0);
}
A->wlen = 0;
A->magic = WORD(0);
}
return;
}
/*
* Set current value of pointed initialized nn to 0. Returns 0 on success, -1
* on error.
*/
int nn_zero(nn_t A)
{
int ret;
ret = nn_check_initialized(A); EG(ret, err);
ret = nn_init(A, 0);
err:
return ret;
}
/*
* Set current value of pointed initialized nn to given word value. Returns 0
* on success, -1 on error.
*/
int nn_set_word_value(nn_t A, word_t val)
{
int ret;
ret = nn_zero(A); EG(ret, err);
A->val[0] = val;
A->wlen = 1;
err:
return ret;
}
/*
* Set current value of pointed initialized nn to 1. Returns 0 on success, -1
* on error.
*/
int nn_one(nn_t A)
{
return nn_set_word_value(A, WORD(1));
}
/*
* Conditionally swap two nn's content *in constant time*. Swapping is done
* if 'cnd' is not zero. Nothing is done otherwise. Returns 0 on success, -1
* on error.
*
* Aliasing of inputs is supported.
*/
int nn_cnd_swap(int cnd, nn_t in1, nn_t in2)
{
word_t mask = WORD_MASK_IFNOTZERO(cnd);
u8 len, i;
word_t t, r;
volatile word_t r_mask;
int ret;
ret = nn_check_initialized(in1); EG(ret, err);
ret = nn_check_initialized(in2); EG(ret, err);
MUST_HAVE((in1->wlen <= NN_MAX_WORD_LEN), ret, err);
MUST_HAVE((in2->wlen <= NN_MAX_WORD_LEN), ret, err);
len = (in1->wlen >= in2->wlen) ? in1->wlen : in2->wlen;
/* Use a random word for randomly masking the delta value hamming
* weight as proposed in Algorithm 4 of "Nonce@once: A Single-Trace
* EM Side Channel Attack on Several Constant-Time Elliptic
* Curve Implementations in Mobile Platforms" by Alam et al.
*/
ret = get_unsafe_random((u8*)&r, sizeof(r)); EG(ret, err);
r_mask = r;
for (i = 0; i < NN_MAX_WORD_LEN; i++) {
word_t local_mask = WORD_MASK_IFNOTZERO((i < len));
t = ((in1->val[i] ^ in2->val[i]) & mask) ^ r_mask;
in1->val[i] ^= ((t & local_mask) ^ (r_mask & local_mask));
in2->val[i] ^= ((t & local_mask) ^ (r_mask & local_mask));
}
t = (word_t)(((in1->wlen ^ in2->wlen) & mask) ^ r_mask);
in1->wlen ^= (u8)(t ^ r_mask);
in2->wlen ^= (u8)(t ^ r_mask);
err:
return ret;
}
/*
* Adjust internal wlen attribute of given nn to new_wlen. If internal wlen
* attribute value is reduced, words above that limit in A are zeroized.
* new_wlen must be in [0, NN_MAX_WORD_LEN].
* The trimming is performed in constant time wrt to the length of the
* input to avoid leaking it.
* Returns 0 on success, -1 on error.
*/
int nn_set_wlen(nn_t A, u8 new_wlen)
{
int ret;
u8 i;
ret = nn_check_initialized(A); EG(ret, err);
MUST_HAVE((new_wlen <= NN_MAX_WORD_LEN), ret, err);
MUST_HAVE((A->wlen <= NN_MAX_WORD_LEN), ret, err);
/* Trimming performed in constant time */
for (i = 0; i < NN_MAX_WORD_LEN; i++) {
A->val[i] = (word_t)(A->val[i] & WORD_MASK_IFZERO((i >= new_wlen)));
}
A->wlen = new_wlen;
err:
return ret;
}
/*
* The function tests if given nn value is zero. The result of the test is given
* using 'iszero' out parameter (1 if nn is zero, 0 if it is not). The function
* returns 0 on success, -1 on error. 'iszero' is not meaningfull on error.
* When A is valid, check is done *in constant time*.
*/
int nn_iszero(nn_src_t A, int *iszero)
{
int ret, notzero;
u8 i;
ret = nn_check_initialized(A); EG(ret, err);
MUST_HAVE((A->wlen <= NN_MAX_WORD_LEN), ret, err);
MUST_HAVE((iszero != NULL), ret, err);
notzero = 0;
for (i = 0; i < NN_MAX_WORD_LEN; i++) {
int mask = ((i < A->wlen) ? 1 : 0);
notzero |= ((A->val[i] != 0) & mask);
}
*iszero = !notzero;
err:
return ret;
}
/*
* The function tests if given nn value is one. The result of the test is given
* using 'isone' out parameter (1 if nn is one, 0 if it is not). The function
* returns 0 on success, -1 on error. 'isone' is not meaningfull on error.
* When A is valid, check is done *in constant time*.
*/
int nn_isone(nn_src_t A, int *isone)
{
int ret, notone;
u8 i;
ret = nn_check_initialized(A); EG(ret, err);
MUST_HAVE(!(A->wlen > NN_MAX_WORD_LEN), ret, err);
MUST_HAVE((isone != NULL), ret, err);
/* val[0] access is ok no matter wlen value */
notone = (A->val[0] != 1);
for (i = 1; i < NN_MAX_WORD_LEN; i++) {
int mask = ((i < A->wlen) ? 1 : 0);
notone |= ((A->val[i] != 0) & mask);
}
*isone = !notone;
err:
return ret;
}
/*
* The function tests if given nn value is odd. The result of the test is given
* using 'isodd' out parameter (1 if nn is odd, 0 if it is not). The function
* returns 0 on success, -1 on error. 'isodd' is not meaningfull on error.
*/
int nn_isodd(nn_src_t A, int *isodd)
{
int ret;
ret = nn_check_initialized(A); EG(ret, err);
MUST_HAVE((isodd != NULL), ret, err);
*isodd = (A->wlen != 0) && (A->val[0] & 1);
err:
return ret;
}
/*
* Compare given nn against given word value. This is done *in constant time*
* (only depending on the input length, not on its value or on the word value)
* when provided nn is valid. The function returns 0 on success and provides
* the comparison value in 'cmp' parameter. -1 is returned on error, in which
* case 'cmp' is not meaningful.
*/
int nn_cmp_word(nn_src_t in, word_t w, int *cmp)
{
int ret, tmp = 0;
word_t mask;
u8 i;
ret = nn_check_initialized(in); EG(ret, err);
MUST_HAVE((cmp != NULL), ret, err);
/* No need to read, we can conclude */
if (in->wlen == 0) {
*cmp = -(w != 0);
ret = 0;
goto err;
}
/*
* Let's loop on all words above first one to see if one
* of those is non-zero.
*/
for (i = (u8)(in->wlen - 1); i > 0; i--) {
tmp |= (in->val[i] != 0);
}
/*
* Compare first word of nn w/ w if needed. This
* is done w/ masking to avoid doing or not doing
* it based on 'tmp' (i.e. fact that a high word
* of nn is not zero).
*/
mask = WORD_MASK_IFZERO(tmp);
tmp += (int)(((word_t)(in->val[i] > w)) & (mask));
tmp -= (int)(((word_t)(in->val[i] < w)) & (mask));
*cmp = tmp;
err:
return ret;
}
/*
* Compare given two nn 'A' and '. This is done *in constant time* (only
* depending on the largest length of the inputs, not on their values). The
* function returns 0 on success and provides the comparison value in
* 'cmp' parameter (0 if A == B, -1 if A < B, +1 if A > B). -1 is returned
* on error, in which case 'cmp' is not meaningful.
*
* Aliasing of inputs is supported.
*/
int nn_cmp(nn_src_t A, nn_src_t B, int *cmp)
{
int tmp, mask, ret, i;
u8 cmp_len;
ret = nn_check_initialized(A); EG(ret, err);
ret = nn_check_initialized(B); EG(ret, err);
MUST_HAVE((cmp != NULL), ret, err);
cmp_len = (A->wlen >= B->wlen) ? A->wlen : B->wlen;
tmp = 0;
for (i = (cmp_len - 1); i >= 0; i--) { /* ok even if cmp_len is 0 */
mask = !(tmp & 0x1);
tmp += ((A->val[i] > B->val[i]) & mask);
tmp -= ((A->val[i] < B->val[i]) & mask);
}
(*cmp) = tmp;
err:
return ret;
}
/*
* Copy given nn 'src_nn' value into 'dst_nn'. This is done *in constant time*.
* 'dst_nn' must point to a declared nn, but *need not be initialized*; it will
* be (manually) initialized by the function. 'src_nn' must have been
* initialized prior to the call. The function returns 0 on success, -1 on error.
*
* Alising of input and output is supported.
*/
int nn_copy(nn_t dst_nn, nn_src_t src_nn)
{
int ret;
u8 i;
MUST_HAVE((dst_nn != NULL), ret, err);
ret = nn_check_initialized(src_nn); EG(ret, err);
for (i = 0; i < NN_MAX_WORD_LEN; i++) {
dst_nn->val[i] = src_nn->val[i];
}
dst_nn->wlen = src_nn->wlen;
dst_nn->magic = NN_MAGIC;
err:
return ret;
}
/*
* Update wlen value of given nn if a set of words below wlen value are zero.
* The function is *not constant time*, i.e. it depends on the input value.
* The function returns 0 on sucess, -1 on error.
*/
int nn_normalize(nn_t in1)
{
int ret;
ret = nn_check_initialized(in1); EG(ret, err);
while ((in1->wlen > 0) && (in1->val[in1->wlen - 1] == 0)) {
in1->wlen--;
}
err:
return ret;
}
/*
* Convert given consecutive WORD_BYTES bytes pointed by 'val' from network (big
* endian) order to host order. 'val' needs not point to a word-aligned region.
* The function returns 0 on success, -1 on error. On success, the result is
* provided in 'out'. 'out' is not meaningful on error.
*/
ATTRIBUTE_WARN_UNUSED_RET static int _ntohw(const u8 *val, word_t *out)
{
word_t res = 0;
u8 *res_buf = (u8 *)(&res);
int i, ret;
MUST_HAVE(((val != NULL) && (out != NULL)), ret, err);
if (arch_is_big_endian()) {
/* copy bytes, one by one to avoid alignement issues */
for (i = 0; i < WORD_BYTES; i++) {
res_buf[i] = val[i];
}
} else {
u8 tmp;
for (i = 0; i < (WORD_BYTES / 2); i++) {
tmp = val[i];
res_buf[i] = val[WORD_BYTES - i - 1];
res_buf[WORD_BYTES - i - 1] = tmp;
}
VAR_ZEROIFY(tmp);
}
*out = res;
ret = 0;
err:
return ret;
}
/* Same as previous function but from host to network byte order. */
ATTRIBUTE_WARN_UNUSED_RET static inline int _htonw(const u8 *val, word_t *out)
{
return _ntohw(val, out);
}
/*
* 'out_nn' is expected to point to the storage location of a declared nn,
* which will be initialized by the function (i.e. given nn need not be
* initialized). The function then imports value (expected to be in big
* endian) from given buffer 'buf' of length 'buflen' into it. The function
* expects (and enforces) that buflen is less than or equal to NN_MAX_BYTE_LEN.
* The function returns 0 on success, -1 on error.
*/
int nn_init_from_buf(nn_t out_nn, const u8 *buf, u16 buflen)
{
u8 tmp[NN_MAX_BYTE_LEN];
u16 wpos;
int ret;
MUST_HAVE(((out_nn != NULL) && (buf != NULL) &&
(buflen <= NN_MAX_BYTE_LEN)), ret, err);
ret = local_memset(tmp, 0, (u32)(NN_MAX_BYTE_LEN - buflen)); EG(ret, err);
ret = local_memcpy(tmp + NN_MAX_BYTE_LEN - buflen, buf, buflen); EG(ret, err);
ret = nn_init(out_nn, buflen); EG(ret, err);
for (wpos = 0; wpos < NN_MAX_WORD_LEN; wpos++) {
u16 buf_pos = (u16)((NN_MAX_WORD_LEN - wpos - 1) * WORD_BYTES);
ret = _ntohw(tmp + buf_pos, &(out_nn->val[wpos])); EG(ret, err);
}
ret = local_memset(tmp, 0, NN_MAX_BYTE_LEN);
err:
return ret;
}
/*
* Export 'buflen' LSB bytes of given nn as a big endian buffer. If buffer
* length is larger than effective size of input nn, padding w/ zero is
* performed. If buffer size is smaller than input nn effective size,
* MSB bytes are simply lost in exported buffer. The function returns 0
* on success, -1 on error.
*/
int nn_export_to_buf(u8 *buf, u16 buflen, nn_src_t in_nn)
{
u8 *src_word_ptr, *dst_word_ptr;
const u8 wb = WORD_BYTES;
u16 remain = buflen;
int ret;
u8 i;
MUST_HAVE((buf != NULL), ret, err);
ret = nn_check_initialized(in_nn); EG(ret, err);
ret = local_memset(buf, 0, buflen); EG(ret, err);
/*
* We consider each word in input nn one at a time and convert
* it to big endian in a temporary word. Based on remaining
* length of output buffer, we copy the LSB bytes of temporary
* word into it at current position. That way, filling of the
* buffer is performed from its end to its beginning, word by
* word, except for the last one, which may be shorten if
* given buffer length is not a multiple of word length.
*/
for (i = 0; remain && (i < in_nn->wlen); i++) {
u16 copylen = (remain > wb) ? wb : remain;
word_t val;
ret = _htonw((const u8 *)&in_nn->val[i], &val); EG(ret, err);
dst_word_ptr = (buf + buflen - (i * wb) - copylen);
src_word_ptr = (u8 *)(&val) + wb - copylen;
ret = local_memcpy(dst_word_ptr, src_word_ptr, copylen); EG(ret, err);
src_word_ptr = NULL;
remain = (u16)(remain - copylen);
}
err:
return ret;
}
/*
* Given a table 'tab' pointing to a set of 'tabsize' NN elements, the
* function copies the value of element at position idx (idx < tabsize)
* in 'out' parameters. Masking is used to avoid leaking which element
* was copied.
*
* Note that the main copying loop is done on the maximum bits for all
* NN elements and not based on the specific effective size of each
* NN elements in 'tab'
*
* Returns 0 on success, -1 on error.
*
* Aliasing of out and the selected element inside the tab is NOT supported.
*/
int nn_tabselect(nn_t out, u8 idx, nn_src_t *tab, u8 tabsize)
{
u8 i, k;
word_t mask;
int ret;
/* Basic sanity checks */
MUST_HAVE(((tab != NULL) && (idx < tabsize)), ret, err);
ret = nn_check_initialized(out); EG(ret, err);
/* Zeroize out and enforce its size. */
ret = nn_zero(out); EG(ret, err);
out->wlen = 0;
for (k = 0; k < tabsize; k++) {
/* Check current element is initialized */
ret = nn_check_initialized(tab[k]); EG(ret, err);
mask = WORD_MASK_IFNOTZERO(idx == k);
out->wlen = (u8)(out->wlen | ((tab[k]->wlen) & mask));
for (i = 0; i < NN_MAX_WORD_LEN; i++) {
out->val[i] |= (tab[k]->val[i] & mask);
}
}
err:
return ret;
}