/******************************************************************************/
/*
void bigint_copy(bigint_t* dest, const bigint_t* src){
- memcpy(dest->wordv, src->wordv, src->length_B);
- dest->length_B = src->length_B;
+ memcpy(dest->wordv, src->wordv, src->length_W);
+ dest->length_W = src->length_W;
dest->info = src->info;
}
*/
/*
void bigint_add_u(bigint_t* dest, const bigint_t* a, const bigint_t* b){
uint16_t t=0, i;
- if(a->length_B < b->length_B){
+ if(a->length_W < b->length_W){
XCHG_PTR(a,b);
}
- for(i=0; i<b->length_B; ++i){
+ for(i=0; i<b->length_W; ++i){
t = a->wordv[i] + b->wordv[i] + t;
dest->wordv[i] = (uint8_t)t;
t>>=8;
}
- for(; i<a->length_B; ++i){
+ for(; i<a->length_W; ++i){
t = a->wordv[i] + t;
dest->wordv[i] = (uint8_t)t;
t>>=8;
}
dest->wordv[i++] = t;
- dest->length_B = i;
+ dest->length_W = i;
bigint_adjust(dest);
}
*/
void bigint_add_scale_u(bigint_t* dest, const bigint_t* a, uint16_t scale){
uint16_t i,j=0;
uint16_t t=0;
- if(scale>dest->length_B)
- memset(dest->wordv+dest->length_B, 0, scale-dest->length_B);
- for(i=scale; i<a->length_B+scale; ++i,++j){
+ if(scale>dest->length_W)
+ memset(dest->wordv+dest->length_W, 0, scale-dest->length_W);
+ for(i=scale; i<a->length_W+scale; ++i,++j){
t = a->wordv[j] + t;
- if(dest->length_B>i){
+ if(dest->length_W>i){
t += dest->wordv[i];
}
dest->wordv[i] = (uint8_t)t;
t>>=8;
}
while(t){
- if(dest->length_B>i){
+ if(dest->length_W>i){
t = dest->wordv[i] + t;
}
dest->wordv[i] = (uint8_t)t;
t>>=8;
++i;
}
- if(dest->length_B < i){
- dest->length_B = i;
+ if(dest->length_W < i){
+ dest->length_W = i;
}
bigint_adjust(dest);
}
int8_t r;
int16_t t;
uint16_t i, min, max;
- min = MIN(a->length_B, b->length_B);
- max = MAX(a->length_B, b->length_B);
+ min = MIN(a->length_W, b->length_W);
+ max = MAX(a->length_W, b->length_W);
r = bigint_cmp_u(a,b);
if(r==0){
- dest->length_B = 0;
+ dest->length_W = 0;
dest->wordv[0] = 0;
bigint_adjust(dest);
return;
}
- if(b->length_B==0){
- dest->length_B = a->length_B;
- memcpy(dest->wordv, a->wordv, a->length_B);
+ if(b->length_W==0){
+ dest->length_W = a->length_W;
+ memcpy(dest->wordv, a->wordv, a->length_W);
dest->info = a->info;
SET_POS(dest);
return;
}
- if(a->length_B==0){
- dest->length_B = b->length_B;
- memcpy(dest->wordv, b->wordv, b->length_B);
+ if(a->length_W==0){
+ dest->length_W = b->length_W;
+ memcpy(dest->wordv, b->wordv, b->length_W);
dest->info = b->info;
SET_NEG(dest);
return;
}
SET_POS(dest);
- dest->length_B = i;
+ dest->length_W = i;
bigint_adjust(dest);
}
}
/******************************************************************************/
int8_t bigint_cmp_u(const bigint_t* a, const bigint_t* b){
- if(a->length_B > b->length_B){
+ if(a->length_W > b->length_W){
return 1;
}
- if(a->length_B < b->length_B){
+ if(a->length_W < b->length_W){
return -1;
}
- if(a->length_B==0){
+ if(a->length_W==0){
return 0;
}
uint16_t i;
- i = a->length_B-1;
+ i = a->length_W-1;
do{
if(a->wordv[i]!=b->wordv[i]){
if(a->wordv[i]>b->wordv[i]){
int8_t bigint_cmp_s(const bigint_t* a, const bigint_t* b){
uint8_t s;
- if(a->length_B==0 && b->length_B==0){
+ if(a->length_W==0 && b->length_W==0){
return 0;
}
s = GET_SIGN(a)?2:0;
uint16_t t=0;
byteshift = (shift+3)/8;
bitshift = shift&7;
- memmove(a->wordv+byteshift, a->wordv, a->length_B);
+ memmove(a->wordv+byteshift, a->wordv, a->length_W);
memset(a->wordv, 0, byteshift);
if(bitshift!=0){
if(bitshift<=4){ /* shift to the left */
- for(i=byteshift; i<a->length_B+byteshift; ++i){
+ for(i=byteshift; i<a->length_W+byteshift; ++i){
t |= (a->wordv[i])<<bitshift;
a->wordv[i] = (uint8_t)t;
t >>= 8;
a->wordv[i] = (uint8_t)t;
byteshift++;
}else{ /* shift to the right */
- for(i=a->length_B+byteshift-1; i>byteshift-1; --i){
+ for(i=a->length_W+byteshift-1; i>byteshift-1; --i){
t |= (a->wordv[i])<<(bitshift);
a->wordv[i] = (uint8_t)(t>>8);
t <<= 8;
a->wordv[i] = (uint8_t)(t>>8);
}
}
- a->length_B += byteshift;
+ a->length_W += byteshift;
bigint_adjust(a);
}
uint16_t t=0;
byteshift = shift/8;
bitshift = shift&7;
- if(byteshift >= a->length_B){ /* we would shift out more than we have */
+ if(byteshift >= a->length_W){ /* we would shift out more than we have */
bigint_set_zero(a);
return;
}
- if(byteshift == a->length_B-1 && bitshift>GET_FBS(a)){
+ if(byteshift == a->length_W-1 && bitshift>GET_FBS(a)){
bigint_set_zero(a);
return;
}
if(byteshift){
- memmove(a->wordv, a->wordv+byteshift, a->length_B-byteshift);
- memset(a->wordv+a->length_B-byteshift, 0, byteshift);
+ memmove(a->wordv, a->wordv+byteshift, a->length_W-byteshift);
+ memset(a->wordv+a->length_W-byteshift, 0, byteshift);
}
if(bitshift!=0){
/* shift to the right */
- for(i=a->length_B-byteshift-1; i>0; --i){
+ for(i=a->length_W-byteshift-1; i>0; --i){
t |= (a->wordv[i])<<(8-bitshift);
a->wordv[i] = (uint8_t)(t>>8);
t <<= 8;
t |= (a->wordv[0])<<(8-bitshift);
a->wordv[0] = (uint8_t)(t>>8);
}
- a->length_B -= byteshift;
+ a->length_W -= byteshift;
bigint_adjust(a);
}
void bigint_xor(bigint_t* dest, const bigint_t* a){
uint16_t i;
- for(i=0; i<a->length_B; ++i){
+ for(i=0; i<a->length_W; ++i){
dest->wordv[i] ^= a->wordv[i];
}
bigint_adjust(dest);
/******************************************************************************/
void bigint_set_zero(bigint_t* a){
- a->length_B=0;
+ a->length_W=0;
}
/******************************************************************************/
/* using the Karatsuba-Algorithm */
/* x*y = (xh*yh)*b**2n + ((xh+xl)*(yh+yl) - xh*yh - xl*yl)*b**n + yh*yl */
void bigint_mul_u(bigint_t* dest, const bigint_t* a, const bigint_t* b){
- if(a->length_B==0 || b->length_B==0){
+ if(a->length_W==0 || b->length_W==0){
bigint_set_zero(dest);
return;
}
if(dest==a || dest==b){
bigint_t d;
- uint8_t d_b[a->length_B+b->length_B];
+ uint8_t d_b[a->length_W+b->length_W];
d.wordv = d_b;
bigint_mul_u(&d, a, b);
bigint_copy(dest, &d);
return;
}
- if(a->length_B==1 || b->length_B==1){
- if(a->length_B!=1){
+ if(a->length_W==1 || b->length_W==1){
+ if(a->length_W!=1){
XCHG_PTR(a,b);
}
uint16_t i, t=0;
uint8_t x = a->wordv[0];
- for(i=0; i<b->length_B; ++i){
+ for(i=0; i<b->length_W; ++i){
t += b->wordv[i]*x;
dest->wordv[i] = (uint8_t)t;
t>>=8;
}
dest->wordv[i] = (uint8_t)t;
- dest->length_B=i+1;
+ dest->length_W=i+1;
bigint_adjust(dest);
return;
}
- if(a->length_B<=4 && b->length_B<=4){
+ if(a->length_W<=4 && b->length_W<=4){
uint32_t p=0, q=0;
uint64_t r;
- memcpy(&p, a->wordv, a->length_B);
- memcpy(&q, b->wordv, b->length_B);
+ memcpy(&p, a->wordv, a->length_W);
+ memcpy(&q, b->wordv, b->length_W);
r = (uint64_t)p*(uint64_t)q;
- memcpy(dest->wordv, &r, a->length_B+b->length_B);
- dest->length_B = a->length_B+b->length_B;
+ memcpy(dest->wordv, &r, a->length_W+b->length_W);
+ dest->length_W = a->length_W+b->length_W;
bigint_adjust(dest);
return;
}
bigint_set_zero(dest);
/* split a in xh & xl; split b in yh & yl */
uint16_t n;
- n=(MAX(a->length_B, b->length_B)+1)/2;
+ n=(MAX(a->length_W, b->length_W)+1)/2;
bigint_t xl, xh, yl, yh;
xl.wordv = a->wordv;
yl.wordv = b->wordv;
- if(a->length_B<=n){
+ if(a->length_W<=n){
xh.info=0;
- xh.length_B = 0;
- xl.length_B = a->length_B;
+ xh.length_W = 0;
+ xl.length_W = a->length_W;
xl.info = 0;
}else{
- xl.length_B=n;
+ xl.length_W=n;
xl.info = 0;
bigint_adjust(&xl);
xh.wordv = a->wordv+n;
- xh.length_B = a->length_B-n;
+ xh.length_W = a->length_W-n;
xh.info = 0;
}
- if(b->length_B<=n){
+ if(b->length_W<=n){
yh.info=0;
- yh.length_B = 0;
- yl.length_B = b->length_B;
+ yh.length_W = 0;
+ yl.length_W = b->length_W;
yl.info = b->info;
}else{
- yl.length_B=n;
+ yl.length_W=n;
yl.info = 0;
bigint_adjust(&yl);
yh.wordv = b->wordv+n;
- yh.length_B = b->length_B-n;
+ yh.length_W = b->length_W-n;
yh.info = 0;
}
/* now we have split up a and b */
/* square */
/* (xh*b^n+xl)^2 = xh^2*b^2n + 2*xh*xl*b^n + xl^2 */
void bigint_square(bigint_t* dest, const bigint_t* a){
- if(a->length_B<=4){
+ if(a->length_W<=4){
uint64_t r=0;
- memcpy(&r, a->wordv, a->length_B);
+ memcpy(&r, a->wordv, a->length_W);
r = r*r;
- memcpy(dest->wordv, &r, 2*a->length_B);
+ memcpy(dest->wordv, &r, 2*a->length_W);
SET_POS(dest);
- dest->length_B=2*a->length_B;
+ dest->length_W=2*a->length_W;
bigint_adjust(dest);
return;
}
if(dest==a){
bigint_t d;
- uint8_t d_b[a->length_B*2];
+ uint8_t d_b[a->length_W*2];
d.wordv = d_b;
bigint_square(&d, a);
bigint_copy(dest, &d);
return;
}
uint16_t n;
- n=(a->length_B+1)/2;
+ n=(a->length_W+1)/2;
bigint_t xh, xl, tmp; /* x-high, x-low, temp */
uint8_t buffer[2*n+1];
xl.wordv = a->wordv;
- xl.length_B = n;
+ xl.length_W = n;
xh.wordv = a->wordv+n;
- xh.length_B = a->length_B-n;
+ xh.length_W = a->length_W-n;
tmp.wordv = buffer;
bigint_square(dest, &xl);
bigint_square(&tmp, &xh);
void bigint_sub_u_bitscale(bigint_t* a, const bigint_t* b, uint16_t bitscale){
bigint_t tmp;
- uint8_t tmp_b[b->length_B+1];
+ uint8_t tmp_b[b->length_W+1];
uint16_t i,j,byteshift=bitscale/8;
uint8_t borrow=0;
int16_t t;
- if(a->length_B < b->length_B+byteshift){
+ if(a->length_W < b->length_W+byteshift){
bigint_set_zero(a);
return;
}
bigint_copy(&tmp, b);
bigint_shiftleft(&tmp, bitscale&7);
- for(j=0,i=byteshift; i<tmp.length_B+byteshift; ++i, ++j){
+ for(j=0,i=byteshift; i<tmp.length_W+byteshift; ++i, ++j){
t = a->wordv[i] - tmp.wordv[j] - borrow;
a->wordv[i] = (uint8_t)t;
if(t<0){
}
}
while(borrow){
- if(i+1 > a->length_B){
+ if(i+1 > a->length_W){
bigint_set_zero(a);
return;
}
// bigint_adjust(r);
uint8_t rfbs = GET_FBS(r);
- if(r->length_B==0 || a->length_B==0){
+ if(r->length_W==0 || a->length_W==0){
return;
}
- while(a->length_B > r->length_B){
- bigint_sub_u_bitscale(a, r, (a->length_B-r->length_B)*8+GET_FBS(a)-rfbs-1);
+ while(a->length_W > r->length_W){
+ bigint_sub_u_bitscale(a, r, (a->length_W-r->length_W)*8+GET_FBS(a)-rfbs-1);
}
- while((GET_FBS(a) > rfbs+1) && (a->length_B == r->length_B)){
+ while((GET_FBS(a) > rfbs+1) && (a->length_W == r->length_W)){
bigint_sub_u_bitscale(a, r, GET_FBS(a)-rfbs-1);
}
while(bigint_cmp_u(a,r)>=0){
/* calculate dest = a**exp % r */
/* using square&multiply */
void bigint_expmod_u(bigint_t* dest, const bigint_t* a, const bigint_t* exp, const bigint_t* r){
- if(a->length_B==0 || r->length_B==0){
+ if(a->length_W==0 || r->length_W==0){
return;
}
bigint_t res, base;
- uint8_t base_b[MAX(a->length_B,r->length_B*2)], res_b[r->length_B*2];
+ uint8_t base_b[MAX(a->length_W,r->length_W*2)], res_b[r->length_W*2];
uint16_t i;
uint8_t j, t;
res.wordv = res_b;
bigint_copy(&base, a);
bigint_reduce(&base, r);
res.wordv[0]=1;
- res.length_B=1;
+ res.length_W=1;
res.info = 0;
bigint_adjust(&res);
- for(i=0; i+1<exp->length_B; ++i){
+ for(i=0; i+1<exp->length_W; ++i){
t=exp->wordv[i];
for(j=0; j<8; ++j){
if(t&1){
void bigint_gcdext(bigint_t* gcd, bigint_t* a, bigint_t* b, const bigint_t* x, const bigint_t* y){
bigint_t g, x_, y_, u, v, a_, b_, c_, d_;
volatile uint16_t i=0;
- if(x->length_B==0 || y->length_B==0){
+ if(x->length_W==0 || y->length_W==0){
return;
}
while(x->wordv[i]==0 && y->wordv[i]==0){
++i;
}
- uint8_t g_b[i+2], x_b[x->length_B-i], y_b[y->length_B-i];
- uint8_t u_b[x->length_B-i], v_b[y->length_B-i];
- uint8_t a_b[y->length_B+2], c_b[y->length_B+2];
- uint8_t b_b[x->length_B+2], d_b[x->length_B+2];
+ uint8_t g_b[i+2], x_b[x->length_W-i], y_b[y->length_W-i];
+ uint8_t u_b[x->length_W-i], v_b[y->length_W-i];
+ uint8_t a_b[y->length_W+2], c_b[y->length_W+2];
+ uint8_t b_b[x->length_W+2], d_b[x->length_W+2];
g.wordv = g_b;
x_.wordv = x_b;
y_.wordv = y_b;
memset(g_b, 0, i);
g_b[i]=1;
- g.length_B = i+1;
+ g.length_W = i+1;
g.info=0;
x_.info = y_.info = 0;
- x_.length_B = x->length_B-i;
- y_.length_B = y->length_B-i;
- memcpy(x_.wordv, x->wordv+i, x_.length_B);
- memcpy(y_.wordv, y->wordv+i, y_.length_B);
+ x_.length_W = x->length_W-i;
+ y_.length_W = y->length_W-i;
+ memcpy(x_.wordv, x->wordv+i, x_.length_W);
+ memcpy(y_.wordv, y->wordv+i, y_.length_W);
for(i=0; (x_.wordv[0]&(1<<i))==0 && (y_.wordv[0]&(1<<i))==0; ++i){
}
bigint_copy(&u, &x_);
bigint_copy(&v, &y_);
a_.wordv[0] = 1;
- a_.length_B = 1;
+ a_.length_W = 1;
a_.info = 0;
d_.wordv[0] = 1;
- d_.length_B = 1;
+ d_.length_W = 1;
d_.info = 0;
bigint_set_zero(&b_);
bigint_set_zero(&c_);
bigint_sub_s(&c_, &c_, &a_);
bigint_sub_s(&d_, &d_, &b_);
}
- }while(u.length_B);
+ }while(u.length_W);
if(gcd){
bigint_mul_s(gcd, &v, &g);
}
void bigint_changeendianess(bigint_t* a){
uint8_t t, *p, *q;
p = a->wordv;
- q = p+a->length_B-1;
+ q = p+a->length_W-1;
while(p<q){
t = *p;
*p = *q;
projects / avr-crypto-lib.git / blobdiff