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switching from length_B to length_W which is more precise

This commit is contained in:
bg 2012-09-18 17:40:36 +02:00
parent 4702ee6467
commit 6130055cd5
3 changed files with 142 additions and 142 deletions
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264
bigint/bigint.c
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@ -61,16 +61,16 @@
/******************************************************************************/ /******************************************************************************/
void bigint_adjust(bigint_t* a){ void bigint_adjust(bigint_t* a){
while(a->length_B!=0 && a->wordv[a->length_B-1]==0){ while(a->length_W!=0 && a->wordv[a->length_W-1]==0){
a->length_B--; a->length_W--;
} }
if(a->length_B==0){ if(a->length_W==0){
a->info=0; a->info=0;
return; return;
} }
bigint_word_t t; bigint_word_t t;
uint8_t i = BIGINT_WORD_SIZE-1; uint8_t i = BIGINT_WORD_SIZE-1;
t = a->wordv[a->length_B-1]; t = a->wordv[a->length_W-1];
while((t&(1L<<(BIGINT_WORD_SIZE-1)))==0 && i){ while((t&(1L<<(BIGINT_WORD_SIZE-1)))==0 && i){
t<<=1; t<<=1;
i--; i--;
@ -81,25 +81,25 @@ void bigint_adjust(bigint_t* a){
/******************************************************************************/ /******************************************************************************/
uint16_t bigint_length_b(const bigint_t* a){ uint16_t bigint_length_b(const bigint_t* a){
if(!a->length_B || a->length_B==0){ if(!a->length_W || a->length_W==0){
return 0; return 0;
} }
return (a->length_B-1) * BIGINT_WORD_SIZE + GET_FBS(a); return (a->length_W-1) * BIGINT_WORD_SIZE + GET_FBS(a);
} }
/******************************************************************************/ /******************************************************************************/
uint16_t bigint_length_B(const bigint_t* a){ uint16_t bigint_length_B(const bigint_t* a){
return a->length_B * sizeof(bigint_word_t); return a->length_W * sizeof(bigint_word_t);
} }
/******************************************************************************/ /******************************************************************************/
uint32_t bigint_get_first_set_bit(const bigint_t* a){ uint32_t bigint_get_first_set_bit(const bigint_t* a){
if(a->length_B==0){ if(a->length_W==0){
return (uint32_t)(-1); return (uint32_t)(-1);
} }
return (a->length_B-1)*sizeof(bigint_word_t)*8+GET_FBS(a); return (a->length_W-1)*sizeof(bigint_word_t)*8+GET_FBS(a);
} }
@ -109,10 +109,10 @@ uint32_t bigint_get_last_set_bit(const bigint_t* a){
uint32_t r=0; uint32_t r=0;
uint8_t b=0; uint8_t b=0;
bigint_word_t x=1; bigint_word_t x=1;
if(a->length_B==0){ if(a->length_W==0){
return (uint32_t)(-1); return (uint32_t)(-1);
} }
while(a->wordv[r]==0 && r<a->length_B){ while(a->wordv[r]==0 && r<a->length_W){
++r; ++r;
} }
if(a->wordv[r] == 0){ if(a->wordv[r] == 0){
@ -128,8 +128,8 @@ uint32_t bigint_get_last_set_bit(const bigint_t* a){
/******************************************************************************/ /******************************************************************************/
void bigint_copy(bigint_t* dest, const bigint_t* src){ void bigint_copy(bigint_t* dest, const bigint_t* src){
memcpy(dest->wordv, src->wordv, src->length_B*sizeof(bigint_word_t)); memcpy(dest->wordv, src->wordv, src->length_W*sizeof(bigint_word_t));
dest->length_B = src->length_B; dest->length_W = src->length_W;
dest->info = src->info; dest->info = src->info;
} }
@ -139,17 +139,17 @@ void bigint_copy(bigint_t* dest, const bigint_t* src){
void bigint_add_u(bigint_t* dest, const bigint_t* a, const bigint_t* b){ void bigint_add_u(bigint_t* dest, const bigint_t* a, const bigint_t* b){
uint16_t i; uint16_t i;
bigint_wordplus_t t=0LL; bigint_wordplus_t t=0LL;
if(a->length_B < b->length_B){ if(a->length_W < b->length_W){
XCHG_PTR(a,b); XCHG_PTR(a,b);
} }
for(i=0; i<b->length_B; ++i){ for(i=0; i<b->length_W; ++i){
// t = (bigint_wordplus_t)(a->wordv[i]) + (bigint_wordplus_t)(b->wordv[i]) + t; // t = (bigint_wordplus_t)(a->wordv[i]) + (bigint_wordplus_t)(b->wordv[i]) + t;
t += a->wordv[i]; t += a->wordv[i];
t += b->wordv[i]; t += b->wordv[i];
dest->wordv[i] = (bigint_word_t)t; dest->wordv[i] = (bigint_word_t)t;
t>>=BIGINT_WORD_SIZE; t>>=BIGINT_WORD_SIZE;
} }
for(; i<a->length_B; ++i){ for(; i<a->length_W; ++i){
t += a->wordv[i]; t += a->wordv[i];
dest->wordv[i] = (bigint_word_t)t; dest->wordv[i] = (bigint_word_t)t;
t>>=BIGINT_WORD_SIZE; t>>=BIGINT_WORD_SIZE;
@ -157,7 +157,7 @@ void bigint_add_u(bigint_t* dest, const bigint_t* a, const bigint_t* b){
if(t){ if(t){
dest->wordv[i++] = (bigint_word_t)t; dest->wordv[i++] = (bigint_word_t)t;
} }
dest->length_B = i; dest->length_W = i;
bigint_adjust(dest); bigint_adjust(dest);
} }
@ -165,7 +165,7 @@ void bigint_add_u(bigint_t* dest, const bigint_t* a, const bigint_t* b){
/* this should be implemented in assembly */ /* this should be implemented in assembly */
void bigint_add_scale_u(bigint_t* dest, const bigint_t* a, uint16_t scale){ void bigint_add_scale_u(bigint_t* dest, const bigint_t* a, uint16_t scale){
if(a->length_B == 0){ if(a->length_W == 0){
return; return;
} }
if(scale == 0){ if(scale == 0){
@ -174,39 +174,39 @@ void bigint_add_scale_u(bigint_t* dest, const bigint_t* a, uint16_t scale){
} }
bigint_t x; bigint_t x;
#if BIGINT_WORD_SIZE == 8 #if BIGINT_WORD_SIZE == 8
memset(dest->wordv + dest->length_B, 0, MAX(dest->length_B, a->length_B + scale) - dest->length_B); memset(dest->wordv + dest->length_W, 0, MAX(dest->length_W, a->length_W + scale) - dest->length_W);
x.wordv = dest->wordv + scale; x.wordv = dest->wordv + scale;
x.length_B = dest->length_B - scale; x.length_W = dest->length_W - scale;
if((int16_t)x.length_B < 0){ if((int16_t)x.length_W < 0){
x.length_B = 0; x.length_W = 0;
x.info = 0; x.info = 0;
} else { } else {
x.info = dest->info; x.info = dest->info;
} }
bigint_add_u(&x, &x, a); bigint_add_u(&x, &x, a);
dest->length_B = x.length_B + scale; dest->length_W = x.length_W + scale;
dest->info = 0; dest->info = 0;
bigint_adjust(dest); bigint_adjust(dest);
#else #else
bigint_t s; bigint_t s;
uint16_t word_shift = scale / sizeof(bigint_word_t), byte_shift = scale % sizeof(bigint_word_t); uint16_t word_shift = scale / sizeof(bigint_word_t), byte_shift = scale % sizeof(bigint_word_t);
bigint_word_t bv[a->length_B + 1]; bigint_word_t bv[a->length_W + 1];
s.wordv = bv; s.wordv = bv;
bv[0] = bv[a->length_B] = 0; bv[0] = bv[a->length_W] = 0;
memcpy((uint8_t*)bv + byte_shift, a->wordv, a->length_B * sizeof(bigint_word_t)); memcpy((uint8_t*)bv + byte_shift, a->wordv, a->length_W * sizeof(bigint_word_t));
s.length_B = a->length_B + 1; s.length_W = a->length_W + 1;
bigint_adjust(&s); bigint_adjust(&s);
memset(dest->wordv + dest->length_B, 0, (MAX(dest->length_B, s.length_B + word_shift) - dest->length_B) * sizeof(bigint_word_t)); memset(dest->wordv + dest->length_W, 0, (MAX(dest->length_W, s.length_W + word_shift) - dest->length_W) * sizeof(bigint_word_t));
x.wordv = dest->wordv + word_shift; x.wordv = dest->wordv + word_shift;
x.length_B = dest->length_B - word_shift; x.length_W = dest->length_W - word_shift;
if((int16_t)x.length_B < 0){ if((int16_t)x.length_W < 0){
x.length_B = 0; x.length_W = 0;
x.info = 0; x.info = 0;
}else{ }else{
x.info = dest->info; x.info = dest->info;
} }
bigint_add_u(&x, &x, &s); bigint_add_u(&x, &x, &s);
dest->length_B = x.length_B + word_shift; dest->length_W = x.length_W + word_shift;
dest->info = 0; dest->info = 0;
bigint_adjust(dest); bigint_adjust(dest);
#endif #endif
@ -217,29 +217,29 @@ void bigint_add_scale_u(bigint_t* dest, const bigint_t* a, uint16_t scale){
bigint_word_t *dst; bigint_word_t *dst;
bigint_wordplus_t t=0; bigint_wordplus_t t=0;
scale_w = (scale+sizeof(bigint_word_t)-1)/sizeof(bigint_word_t); scale_w = (scale+sizeof(bigint_word_t)-1)/sizeof(bigint_word_t);
if(scale>dest->length_B*sizeof(bigint_word_t)){ if(scale>dest->length_W*sizeof(bigint_word_t)){
memset(((uint8_t*)dest->wordv)+dest->length_B*sizeof(bigint_word_t), 0, scale-dest->length_B*sizeof(bigint_word_t)); memset(((uint8_t*)dest->wordv)+dest->length_W*sizeof(bigint_word_t), 0, scale-dest->length_W*sizeof(bigint_word_t));
} }
// a->wordv = (const uint32_t*)(((uint8_t*)a->wordv)+(scale&3)); // a->wordv = (const uint32_t*)(((uint8_t*)a->wordv)+(scale&3));
dst = dest->wordv + (scale&(sizeof(bigint_word_t)-1)); dst = dest->wordv + (scale&(sizeof(bigint_word_t)-1));
for(i=scale/sizeof(bigint_word_t); i<a->length_B+scale_w; ++i,++j){ for(i=scale/sizeof(bigint_word_t); i<a->length_W+scale_w; ++i,++j){
t += a->wordv[j]; t += a->wordv[j];
if(dest->length_B>i){ if(dest->length_W>i){
t += dst[i]; t += dst[i];
} }
dst[i] = (bigint_word_t)t; dst[i] = (bigint_word_t)t;
t>>=BIGINT_WORD_SIZE; t>>=BIGINT_WORD_SIZE;
} }
while(t){ while(t){
if(dest->length_B>i){ if(dest->length_W>i){
t += dst[i]; t += dst[i];
} }
dst[i] = (bigint_word_t)t; dst[i] = (bigint_word_t)t;
t>>=BIGINT_WORD_SIZE; t>>=BIGINT_WORD_SIZE;
++i; ++i;
} }
if(dest->length_B < i){ if(dest->length_W < i){
dest->length_B = i; dest->length_W = i;
} }
bigint_adjust(dest); bigint_adjust(dest);
*/ */
@ -253,19 +253,19 @@ void bigint_sub_u(bigint_t* dest, const bigint_t* a, const bigint_t* b){
int8_t r; int8_t r;
bigint_wordplus_signed_t t=0LL; bigint_wordplus_signed_t t=0LL;
uint16_t i, min, max; uint16_t i, min, max;
min = MIN(a->length_B, b->length_B); min = MIN(a->length_W, b->length_W);
max = MAX(a->length_B, b->length_B); max = MAX(a->length_W, b->length_W);
r = bigint_cmp_u(a,b); r = bigint_cmp_u(a,b);
if(r==0){ if(r==0){
bigint_set_zero(dest); bigint_set_zero(dest);
return; return;
} }
if(b->length_B==0){ if(b->length_W==0){
bigint_copy(dest, a); bigint_copy(dest, a);
SET_POS(dest); SET_POS(dest);
return; return;
} }
if(a->length_B==0){ if(a->length_W==0){
bigint_copy(dest, b); bigint_copy(dest, b);
SET_NEG(dest); SET_NEG(dest);
return; return;
@ -289,24 +289,24 @@ void bigint_sub_u(bigint_t* dest, const bigint_t* a, const bigint_t* b){
} }
} }
SET_POS(dest); SET_POS(dest);
dest->length_B = i; dest->length_W = i;
bigint_adjust(dest); bigint_adjust(dest);
} }
/******************************************************************************/ /******************************************************************************/
int8_t bigint_cmp_u(const bigint_t* a, const bigint_t* b){ 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; return 1;
} }
if(a->length_B < b->length_B){ if(a->length_W < b->length_W){
return -1; return -1;
} }
if(a->length_B==0){ if(a->length_W==0){
return 0; return 0;
} }
uint16_t i; uint16_t i;
i = a->length_B-1; i = a->length_W-1;
do{ do{
if(a->wordv[i] != b->wordv[i]){ if(a->wordv[i] != b->wordv[i]){
if(a->wordv[i] > b->wordv[i]){ if(a->wordv[i] > b->wordv[i]){
@ -376,7 +376,7 @@ void bigint_sub_s(bigint_t* dest, const bigint_t* a, const bigint_t* b){
int8_t bigint_cmp_s(const bigint_t* a, const bigint_t* b){ int8_t bigint_cmp_s(const bigint_t* a, const bigint_t* b){
uint8_t s; uint8_t s;
if(a->length_B==0 && b->length_B==0){ if(a->length_W==0 && b->length_W==0){
return 0; return 0;
} }
s = GET_SIGN(a)?2:0; s = GET_SIGN(a)?2:0;
@ -414,15 +414,15 @@ void bigint_shiftleft(bigint_t* a, uint16_t shift){
byteshift = shift/8; byteshift = shift/8;
bitshift = shift&7; bitshift = shift&7;
for(i=0;i<=byteshift/sizeof(bigint_word_t); ++i){ for(i=0;i<=byteshift/sizeof(bigint_word_t); ++i){
a->wordv[a->length_B+i] = 0; a->wordv[a->length_W+i] = 0;
} }
if(byteshift){ if(byteshift){
memmove(((uint8_t*)a->wordv) + byteshift, a->wordv, a->length_B * sizeof(bigint_word_t)); memmove(((uint8_t*)a->wordv) + byteshift, a->wordv, a->length_W * sizeof(bigint_word_t));
memset(a->wordv, 0, byteshift); memset(a->wordv, 0, byteshift);
} }
p = a->wordv + byteshift / sizeof(bigint_word_t); p = a->wordv + byteshift / sizeof(bigint_word_t);
words_to_shift = a->length_B + (byteshift % sizeof(bigint_word_t)?1:0); words_to_shift = a->length_W + (byteshift % sizeof(bigint_word_t)?1:0);
word_alloc = a->length_B + (byteshift + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t) + 1; word_alloc = a->length_W + (byteshift + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t) + 1;
a->wordv[word_alloc-1]=0; a->wordv[word_alloc-1]=0;
if(bitshift!=0){ if(bitshift!=0){
for(i=0; i < words_to_shift; ++i){ for(i=0; i < words_to_shift; ++i){
@ -432,7 +432,7 @@ void bigint_shiftleft(bigint_t* a, uint16_t shift){
} }
p[i] = (bigint_word_t)t; p[i] = (bigint_word_t)t;
} }
a->length_B = word_alloc; a->length_W = word_alloc;
bigint_adjust(a); bigint_adjust(a);
} }
@ -445,23 +445,23 @@ void bigint_shiftright(bigint_t* a, uint16_t shift){
bigint_wordplus_t t=0; bigint_wordplus_t t=0;
byteshift = shift/8; byteshift = shift/8;
bitshift = shift&7; bitshift = shift&7;
if(byteshift >= a->length_B * sizeof(bigint_word_t)){ /* we would shift out more than we have */ if(byteshift >= a->length_W * sizeof(bigint_word_t)){ /* we would shift out more than we have */
bigint_set_zero(a); bigint_set_zero(a);
return; return;
} }
if(byteshift == a->length_B * sizeof(bigint_word_t) - 1 && bitshift > GET_FBS(a)){ if(byteshift == a->length_W * sizeof(bigint_word_t) - 1 && bitshift > GET_FBS(a)){
bigint_set_zero(a); bigint_set_zero(a);
return; return;
} }
if(byteshift){ if(byteshift){
memmove(a->wordv, (uint8_t*)a->wordv + byteshift, a->length_B * sizeof(bigint_word_t) - byteshift); memmove(a->wordv, (uint8_t*)a->wordv + byteshift, a->length_W * sizeof(bigint_word_t) - byteshift);
memset((uint8_t*)a->wordv + a->length_B * sizeof(bigint_word_t) - byteshift, 0, byteshift); memset((uint8_t*)a->wordv + a->length_W * sizeof(bigint_word_t) - byteshift, 0, byteshift);
} }
byteshift /= sizeof(bigint_word_t); byteshift /= sizeof(bigint_word_t);
a->length_B -= (byteshift + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t); a->length_W -= (byteshift + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t);
if(bitshift != 0 && a->length_B){ if(bitshift != 0 && a->length_W){
/* shift to the right */ /* shift to the right */
i = a->length_B - 1; i = a->length_W - 1;
do{ do{
t |= ((bigint_wordplus_t)(a->wordv[i])) << (BIGINT_WORD_SIZE - bitshift); t |= ((bigint_wordplus_t)(a->wordv[i])) << (BIGINT_WORD_SIZE - bitshift);
a->wordv[i] = (bigint_word_t)(t >> BIGINT_WORD_SIZE); a->wordv[i] = (bigint_word_t)(t >> BIGINT_WORD_SIZE);
@ -475,7 +475,7 @@ void bigint_shiftright(bigint_t* a, uint16_t shift){
void bigint_xor(bigint_t* dest, const bigint_t* a){ void bigint_xor(bigint_t* dest, const bigint_t* a){
uint16_t i; 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]; dest->wordv[i] ^= a->wordv[i];
} }
bigint_adjust(dest); bigint_adjust(dest);
@ -484,7 +484,7 @@ void bigint_xor(bigint_t* dest, const bigint_t* a){
/******************************************************************************/ /******************************************************************************/
void bigint_set_zero(bigint_t* a){ void bigint_set_zero(bigint_t* a){
a->length_B=0; a->length_W=0;
} }
/******************************************************************************/ /******************************************************************************/
@ -492,74 +492,74 @@ void bigint_set_zero(bigint_t* a){
/* using the Karatsuba-Algorithm */ /* using the Karatsuba-Algorithm */
/* x*y = (xh*yh)*b**2n + ((xh+xl)*(yh+yl) - xh*yh - xl*yl)*b**n + yh*yl */ /* 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){ 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); bigint_set_zero(dest);
return; return;
} }
if(dest==a || dest==b){ if(dest==a || dest==b){
bigint_t d; bigint_t d;
bigint_word_t d_b[a->length_B+b->length_B]; bigint_word_t d_b[a->length_W+b->length_W];
d.wordv = d_b; d.wordv = d_b;
bigint_mul_u(&d, a, b); bigint_mul_u(&d, a, b);
bigint_copy(dest, &d); bigint_copy(dest, &d);
return; return;
} }
if(a->length_B==1 || b->length_B==1){ if(a->length_W==1 || b->length_W==1){
if(a->length_B!=1){ if(a->length_W!=1){
XCHG_PTR(a,b); XCHG_PTR(a,b);
} }
bigint_wordplus_t t=0; bigint_wordplus_t t=0;
uint16_t i; uint16_t i;
bigint_word_t x = a->wordv[0]; bigint_word_t x = a->wordv[0];
for(i=0; i < b->length_B; ++i){ for(i=0; i < b->length_W; ++i){
t += ((bigint_wordplus_t)b->wordv[i])*((bigint_wordplus_t)x); t += ((bigint_wordplus_t)b->wordv[i])*((bigint_wordplus_t)x);
dest->wordv[i] = (bigint_word_t)t; dest->wordv[i] = (bigint_word_t)t;
t>>=BIGINT_WORD_SIZE; t>>=BIGINT_WORD_SIZE;
} }
dest->wordv[i] = (bigint_word_t)t; dest->wordv[i] = (bigint_word_t)t;
dest->length_B = i+1; dest->length_W = i+1;
dest->info = 0; dest->info = 0;
bigint_adjust(dest); bigint_adjust(dest);
return; return;
} }
if(a->length_B * sizeof(bigint_word_t) <= 4 && b->length_B * sizeof(bigint_word_t) <= 4){ if(a->length_W * sizeof(bigint_word_t) <= 4 && b->length_W * sizeof(bigint_word_t) <= 4){
uint32_t p=0, q=0; uint32_t p=0, q=0;
uint64_t r; uint64_t r;
memcpy(&p, a->wordv, a->length_B*sizeof(bigint_word_t)); memcpy(&p, a->wordv, a->length_W*sizeof(bigint_word_t));
memcpy(&q, b->wordv, b->length_B*sizeof(bigint_word_t)); memcpy(&q, b->wordv, b->length_W*sizeof(bigint_word_t));
r = (uint64_t)p * (uint64_t)q; r = (uint64_t)p * (uint64_t)q;
memcpy(dest->wordv, &r, (dest->length_B = a->length_B + b->length_B)*sizeof(bigint_word_t)); memcpy(dest->wordv, &r, (dest->length_W = a->length_W + b->length_W)*sizeof(bigint_word_t));
bigint_adjust(dest); bigint_adjust(dest);
return; return;
} }
bigint_set_zero(dest); bigint_set_zero(dest);
/* split a in xh & xl; split b in yh & yl */ /* split a in xh & xl; split b in yh & yl */
const uint16_t n = (MAX(a->length_B, b->length_B)+1)/2; const uint16_t n = (MAX(a->length_W, b->length_W)+1)/2;
bigint_t xl, xh, yl, yh; bigint_t xl, xh, yl, yh;
xl.wordv = a->wordv; xl.wordv = a->wordv;
yl.wordv = b->wordv; yl.wordv = b->wordv;
if(a->length_B<=n){ if(a->length_W<=n){
bigint_set_zero(&xh); bigint_set_zero(&xh);
xl.length_B = a->length_B; xl.length_W = a->length_W;
xl.info = a->info; xl.info = a->info;
}else{ }else{
xl.length_B=n; xl.length_W=n;
xl.info = 0; xl.info = 0;
bigint_adjust(&xl); bigint_adjust(&xl);
xh.wordv = &(a->wordv[n]); xh.wordv = &(a->wordv[n]);
xh.length_B = a->length_B-n; xh.length_W = a->length_W-n;
xh.info = a->info; xh.info = a->info;
} }
if(b->length_B<=n){ if(b->length_W<=n){
bigint_set_zero(&yh); bigint_set_zero(&yh);
yl.length_B = b->length_B; yl.length_W = b->length_W;
yl.info = b->info; yl.info = b->info;
}else{ }else{
yl.length_B=n; yl.length_W=n;
yl.info = 0; yl.info = 0;
bigint_adjust(&yl); bigint_adjust(&yl);
yh.wordv = &(b->wordv[n]); yh.wordv = &(b->wordv[n]);
yh.length_B = b->length_B-n; yh.length_W = b->length_W-n;
yh.info = b->info; yh.info = b->info;
} }
/* now we have split up a and b */ /* now we have split up a and b */
@ -617,33 +617,33 @@ void bigint_mul_s(bigint_t* dest, const bigint_t* a, const bigint_t* b){
/* square */ /* square */
/* (xh*b^n+xl)^2 = xh^2*b^2n + 2*xh*xl*b^n + xl^2 */ /* (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){ void bigint_square(bigint_t* dest, const bigint_t* a){
if(a->length_B*sizeof(bigint_word_t)<=4){ if(a->length_W*sizeof(bigint_word_t)<=4){
uint64_t r=0; uint64_t r=0;
memcpy(&r, a->wordv, a->length_B*sizeof(bigint_word_t)); memcpy(&r, a->wordv, a->length_W*sizeof(bigint_word_t));
r = r*r; r = r*r;
memcpy(dest->wordv, &r, 2*a->length_B*sizeof(bigint_word_t)); memcpy(dest->wordv, &r, 2*a->length_W*sizeof(bigint_word_t));
SET_POS(dest); SET_POS(dest);
dest->length_B=2*a->length_B; dest->length_W=2*a->length_W;
bigint_adjust(dest); bigint_adjust(dest);
return; return;
} }
if(dest==a){ if(dest==a){
bigint_t d; bigint_t d;
bigint_word_t d_b[a->length_B*2]; bigint_word_t d_b[a->length_W*2];
d.wordv = d_b; d.wordv = d_b;
bigint_square(&d, a); bigint_square(&d, a);
bigint_copy(dest, &d); bigint_copy(dest, &d);
return; return;
} }
uint16_t n; 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 */ bigint_t xh, xl, tmp; /* x-high, x-low, temp */
bigint_word_t buffer[2*n+1]; bigint_word_t buffer[2*n+1];
xl.wordv = a->wordv; xl.wordv = a->wordv;
xl.length_B = n; xl.length_W = n;
xl.info = 0; xl.info = 0;
xh.wordv = &(a->wordv[n]); xh.wordv = &(a->wordv[n]);
xh.length_B = a->length_B-n; xh.length_W = a->length_W-n;
xh.info = 0; xh.info = 0;
bigint_adjust(&xl); bigint_adjust(&xl);
bigint_adjust(&xh); bigint_adjust(&xh);
@ -670,10 +670,10 @@ void bigint_square(bigint_t* dest, const bigint_t* a){
/******************************************************************************/ /******************************************************************************/
void bigint_sub_u_bitscale(bigint_t* a, const bigint_t* b, uint16_t bitscale){ void bigint_sub_u_bitscale(bigint_t* a, const bigint_t* b, uint16_t bitscale){
bigint_t tmp, x; bigint_t tmp, x;
bigint_word_t tmp_b[b->length_B + 1]; bigint_word_t tmp_b[b->length_W + 1];
const uint16_t word_shift = bitscale / BIGINT_WORD_SIZE; const uint16_t word_shift = bitscale / BIGINT_WORD_SIZE;
if(a->length_B < b->length_B + word_shift){ if(a->length_W < b->length_W + word_shift){
#if DEBUG #if DEBUG
cli_putstr("\r\nDBG: *bang*\r\n"); cli_putstr("\r\nDBG: *bang*\r\n");
#endif #endif
@ -686,7 +686,7 @@ void bigint_sub_u_bitscale(bigint_t* a, const bigint_t* b, uint16_t bitscale){
x.info = a->info; x.info = a->info;
x.wordv = &(a->wordv[word_shift]); x.wordv = &(a->wordv[word_shift]);
x.length_B = a->length_B - word_shift; x.length_W = a->length_W - word_shift;
bigint_sub_u(&x, &x, &tmp); bigint_sub_u(&x, &x, &tmp);
bigint_adjust(a); bigint_adjust(a);
@ -701,40 +701,40 @@ void bigint_reduce(bigint_t* a, const bigint_t* r){
#if DEBUG #if DEBUG
cli_putstr("\r\nDBG: (a) = "); bigint_print_hex(a); cli_putstr("\r\nDBG: (a) = "); bigint_print_hex(a);
#endif #endif
if(r->length_B==0 || a->length_B==0){ if(r->length_W==0 || a->length_W==0){
return; return;
} }
if((r->length_B*sizeof(bigint_word_t)<=4) && (a->length_B*sizeof(bigint_word_t)<=4)){ if((r->length_W*sizeof(bigint_word_t)<=4) && (a->length_W*sizeof(bigint_word_t)<=4)){
uint32_t p=0, q=0; uint32_t p=0, q=0;
memcpy(&p, a->wordv, a->length_B*sizeof(bigint_word_t)); memcpy(&p, a->wordv, a->length_W*sizeof(bigint_word_t));
memcpy(&q, r->wordv, r->length_B*sizeof(bigint_word_t)); memcpy(&q, r->wordv, r->length_W*sizeof(bigint_word_t));
p %= q; p %= q;
memcpy(a->wordv, &p, a->length_B*sizeof(bigint_word_t)); memcpy(a->wordv, &p, a->length_W*sizeof(bigint_word_t));
bigint_adjust(a); bigint_adjust(a);
// cli_putstr("\r\nDBG: (0) = "); bigint_print_hex(a); // cli_putstr("\r\nDBG: (0) = "); bigint_print_hex(a);
return; return;
} }
uint16_t shift; uint16_t shift;
while(a->length_B > r->length_B){ while(a->length_W > r->length_W){
shift = (a->length_B - r->length_B) * 8 * sizeof(bigint_word_t) + GET_FBS(a) - rfbs - 1; shift = (a->length_W - r->length_W) * 8 * sizeof(bigint_word_t) + GET_FBS(a) - rfbs - 1;
/* /*
if((a->wordv[a->length_B-1] & ((1LL<<GET_FBS(a)) - 1)) > r->wordv[r->length_B-1]){ if((a->wordv[a->length_W-1] & ((1LL<<GET_FBS(a)) - 1)) > r->wordv[r->length_W-1]){
// cli_putc('~'); // cli_putc('~');
cli_putstr("\r\n ~ [a] = "); cli_putstr("\r\n ~ [a] = ");
cli_hexdump_rev(&a->wordv[a->length_B-1], 4); cli_hexdump_rev(&a->wordv[a->length_W-1], 4);
cli_putstr(" [r] = "); cli_putstr(" [r] = ");
cli_hexdump_rev(&r->wordv[r->length_B-1], 4); cli_hexdump_rev(&r->wordv[r->length_W-1], 4);
shift += 1; shift += 1;
} }
*/ */
// cli_putstr("\r\nDBG: (p) shift = "); cli_hexdump_rev(&shift, 2); // cli_putstr("\r\nDBG: (p) shift = "); cli_hexdump_rev(&shift, 2);
// cli_putstr(" a_len = "); cli_hexdump_rev(&a->length_B, 2); // cli_putstr(" a_len = "); cli_hexdump_rev(&a->length_W, 2);
// cli_putstr(" r_len = "); cli_hexdump_rev(&r->length_B, 2); // cli_putstr(" r_len = "); cli_hexdump_rev(&r->length_W, 2);
// uart_flush(0); // uart_flush(0);
bigint_sub_u_bitscale(a, r, shift); bigint_sub_u_bitscale(a, r, shift);
// cli_putstr("\r\nDBG: (1) = "); bigint_print_hex(a); // cli_putstr("\r\nDBG: (1) = "); bigint_print_hex(a);
} }
while((GET_FBS(a) > rfbs) && (a->length_B == r->length_B)){ while((GET_FBS(a) > rfbs) && (a->length_W == r->length_W)){
shift = GET_FBS(a)-rfbs-1; shift = GET_FBS(a)-rfbs-1;
// cli_putstr("\r\nDBG: (q) shift = "); cli_hexdump_rev(&shift, 2); // cli_putstr("\r\nDBG: (q) shift = "); cli_hexdump_rev(&shift, 2);
bigint_sub_u_bitscale(a, r, shift); bigint_sub_u_bitscale(a, r, shift);
@ -754,12 +754,12 @@ void bigint_reduce(bigint_t* a, const bigint_t* r){
/* calculate dest = a**exp % r */ /* calculate dest = a**exp % r */
/* using square&multiply */ /* using square&multiply */
void bigint_expmod_u(bigint_t* dest, const bigint_t* a, const bigint_t* exp, const bigint_t* r){ 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; return;
} }
bigint_t res, base; bigint_t res, base;
bigint_word_t t, base_b[MAX(a->length_B,r->length_B)], res_b[r->length_B*2]; bigint_word_t t, base_b[MAX(a->length_W,r->length_W)], res_b[r->length_W*2];
uint16_t i; uint16_t i;
uint8_t j; uint8_t j;
// uint16_t *xaddr = &i; // uint16_t *xaddr = &i;
@ -772,16 +772,16 @@ void bigint_expmod_u(bigint_t* dest, const bigint_t* a, const bigint_t* exp, con
// cli_putstr("\r\npost-copy"); // cli_putstr("\r\npost-copy");
bigint_reduce(&base, r); bigint_reduce(&base, r);
res.wordv[0]=1; res.wordv[0]=1;
res.length_B=1; res.length_W=1;
res.info = 0; res.info = 0;
bigint_adjust(&res); bigint_adjust(&res);
if(exp->length_B == 0){ if(exp->length_W == 0){
bigint_copy(dest, &res); bigint_copy(dest, &res);
return; return;
} }
uint8_t flag = 0; uint8_t flag = 0;
t=exp->wordv[exp->length_B - 1]; t=exp->wordv[exp->length_W - 1];
for(i=exp->length_B; i > 0; --i){ for(i=exp->length_W; i > 0; --i){
t = exp->wordv[i - 1]; t = exp->wordv[i - 1];
for(j=BIGINT_WORD_SIZE; j > 0; --j){ for(j=BIGINT_WORD_SIZE; j > 0; --j){
if(!flag){ if(!flag){
@ -817,14 +817,14 @@ void bigint_expmod_u(bigint_t* dest, const bigint_t* a, const bigint_t* exp, con
void bigint_gcdext(bigint_t* gcd, bigint_t* a, bigint_t* b, const bigint_t* x, const bigint_t* y){ 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_; bigint_t g, x_, y_, u, v, a_, b_, c_, d_;
uint16_t i=0; uint16_t i=0;
if(x->length_B==0 || y->length_B==0){ if(x->length_W==0 || y->length_W==0){
return; return;
} }
if(x->length_B==1 && x->wordv[0]==1){ if(x->length_W==1 && x->wordv[0]==1){
gcd->length_B = 1; gcd->length_W = 1;
gcd->wordv[0] = 1; gcd->wordv[0] = 1;
if(a){ if(a){
a->length_B = 1; a->length_W = 1;
a->wordv[0] = 1; a->wordv[0] = 1;
SET_POS(a); SET_POS(a);
bigint_adjust(a); bigint_adjust(a);
@ -834,11 +834,11 @@ void bigint_gcdext(bigint_t* gcd, bigint_t* a, bigint_t* b, const bigint_t* x, c
} }
return; return;
} }
if(y->length_B==1 && y->wordv[0]==1){ if(y->length_W==1 && y->wordv[0]==1){
gcd->length_B = 1; gcd->length_W = 1;
gcd->wordv[0] = 1; gcd->wordv[0] = 1;
if(b){ if(b){
b->length_B = 1; b->length_W = 1;
b->wordv[0] = 1; b->wordv[0] = 1;
SET_POS(b); SET_POS(b);
bigint_adjust(b); bigint_adjust(b);
@ -852,23 +852,23 @@ void bigint_gcdext(bigint_t* gcd, bigint_t* a, bigint_t* b, const bigint_t* x, c
while(x->wordv[i]==0 && y->wordv[i]==0){ while(x->wordv[i]==0 && y->wordv[i]==0){
++i; ++i;
} }
bigint_word_t g_b[i+2], x_b[x->length_B-i], y_b[y->length_B-i]; bigint_word_t g_b[i+2], x_b[x->length_W-i], y_b[y->length_W-i];
bigint_word_t u_b[x->length_B-i], v_b[y->length_B-i]; bigint_word_t u_b[x->length_W-i], v_b[y->length_W-i];
bigint_word_t a_b[y->length_B+2], c_b[y->length_B+2]; bigint_word_t a_b[y->length_W+2], c_b[y->length_W+2];
bigint_word_t b_b[x->length_B+2], d_b[x->length_B+2]; bigint_word_t b_b[x->length_W+2], d_b[x->length_W+2];
g.wordv = g_b; g.wordv = g_b;
x_.wordv = x_b; x_.wordv = x_b;
y_.wordv = y_b; y_.wordv = y_b;
memset(g_b, 0, i*sizeof(bigint_word_t)); memset(g_b, 0, i*sizeof(bigint_word_t));
g_b[i]=1; g_b[i]=1;
g.length_B = i+1; g.length_W = i+1;
g.info=0; g.info=0;
x_.info = y_.info = 0; x_.info = y_.info = 0;
x_.length_B = x->length_B-i; x_.length_W = x->length_W-i;
y_.length_B = y->length_B-i; y_.length_W = y->length_W-i;
memcpy(x_.wordv, x->wordv+i, x_.length_B*sizeof(bigint_word_t)); memcpy(x_.wordv, x->wordv+i, x_.length_W*sizeof(bigint_word_t));
memcpy(y_.wordv, y->wordv+i, y_.length_B*sizeof(bigint_word_t)); memcpy(y_.wordv, y->wordv+i, y_.length_W*sizeof(bigint_word_t));
for(i=0; (x_.wordv[0]&(1<<i))==0 && (y_.wordv[0]&(1<<i))==0; ++i){ for(i=0; (x_.wordv[0]&(1<<i))==0 && (y_.wordv[0]&(1<<i))==0; ++i){
} }
@ -891,10 +891,10 @@ void bigint_gcdext(bigint_t* gcd, bigint_t* a, bigint_t* b, const bigint_t* x, c
bigint_copy(&u, &x_); bigint_copy(&u, &x_);
bigint_copy(&v, &y_); bigint_copy(&v, &y_);
a_.wordv[0] = 1; a_.wordv[0] = 1;
a_.length_B = 1; a_.length_W = 1;
a_.info = 0; a_.info = 0;
d_.wordv[0] = 1; d_.wordv[0] = 1;
d_.length_B = 1; d_.length_W = 1;
d_.info = 0; d_.info = 0;
bigint_set_zero(&b_); bigint_set_zero(&b_);
bigint_set_zero(&c_); bigint_set_zero(&c_);
@ -930,7 +930,7 @@ void bigint_gcdext(bigint_t* gcd, bigint_t* a, bigint_t* b, const bigint_t* x, c
bigint_sub_s(&c_, &c_, &a_); bigint_sub_s(&c_, &c_, &a_);
bigint_sub_s(&d_, &d_, &b_); bigint_sub_s(&d_, &d_, &b_);
} }
}while(u.length_B); }while(u.length_W);
if(gcd){ if(gcd){
bigint_mul_s(gcd, &v, &g); bigint_mul_s(gcd, &v, &g);
} }
@ -956,7 +956,7 @@ void bigint_inverse(bigint_t* dest, const bigint_t* a, const bigint_t* m){
void bigint_changeendianess(bigint_t* a){ void bigint_changeendianess(bigint_t* a){
uint8_t t, *p, *q; uint8_t t, *p, *q;
p = (uint8_t*)(a->wordv); p = (uint8_t*)(a->wordv);
q = p + a->length_B * sizeof(bigint_word_t) - 1; q = p + a->length_W * sizeof(bigint_word_t) - 1;
while(p<q){ while(p<q){
t = *p; t = *p;
*p = *q; *p = *q;

2
bigint/bigint.h
View File

@ -38,7 +38,7 @@ typedef int64_t bigint_wordplus_signed_t;
#define BIGINT_FBS_MASK (BIGINT_WORD_SIZE-1) /* the last five bits indicate which is the first bit set */ #define BIGINT_FBS_MASK (BIGINT_WORD_SIZE-1) /* the last five bits indicate which is the first bit set */
#define BIGINT_NEG_MASK 0x80 /* this bit indicates a negative value */ #define BIGINT_NEG_MASK 0x80 /* this bit indicates a negative value */
typedef struct{ typedef struct{
uint16_t length_B; uint16_t length_W;
uint8_t info; uint8_t info;
bigint_word_t *wordv; /* word vector, pointing to the LSB */ bigint_word_t *wordv; /* word vector, pointing to the LSB */
}bigint_t; }bigint_t;

18
bigint/bigint_io.c
View File

@ -24,7 +24,7 @@
#include <string.h> #include <string.h>
void bigint_print_hex(const bigint_t* a){ void bigint_print_hex(const bigint_t* a){
if(a->length_B==0){ if(a->length_W==0){
cli_putc('0'); cli_putc('0');
return; return;
} }
@ -32,18 +32,18 @@ void bigint_print_hex(const bigint_t* a){
cli_putc('-'); cli_putc('-');
} }
// cli_putc((a->info&BIGINT_NEG_MASK)?'-':'+'); /* print sign */ // cli_putc((a->info&BIGINT_NEG_MASK)?'-':'+'); /* print sign */
/* if(a->wordv[a->length_B-1]<0x10){ /* if(a->wordv[a->length_W-1]<0x10){
cli_putc(hexdigit_tab_uc[a->wordv[a->length_B-1]]); cli_putc(hexdigit_tab_uc[a->wordv[a->length_W-1]]);
cli_hexdump_rev(a->wordv, a->length_B-1); cli_hexdump_rev(a->wordv, a->length_W-1);
} else { } else {
*/ */
// cli_hexdump_rev(a->wordv, a->length_B*sizeof(bigint_word_t)); // cli_hexdump_rev(a->wordv, a->length_W*sizeof(bigint_word_t));
// } // }
uint32_t idx; uint32_t idx;
uint8_t print_zero=0; uint8_t print_zero=0;
uint8_t *p,x,y; uint8_t *p,x,y;
p = (uint8_t*)&(a->wordv[a->length_B-1])+sizeof(bigint_word_t)-1; p = (uint8_t*)&(a->wordv[a->length_W-1])+sizeof(bigint_word_t)-1;
for(idx = a->length_B * sizeof(bigint_word_t); idx > 0; --idx){ for(idx = a->length_W * sizeof(bigint_word_t); idx > 0; --idx){
x = *p >> 4; x = *p >> 4;
y = *p & 0xf; y = *p & 0xf;
if(x!=0 || print_zero!=0){ if(x!=0 || print_zero!=0){
@ -98,7 +98,7 @@ uint8_t bigint_read_hex_echo(bigint_t* a){
uint16_t allocated=0; uint16_t allocated=0;
uint8_t shift4=0; uint8_t shift4=0;
uint16_t t, idx = 0; uint16_t t, idx = 0;
a->length_B = 0; a->length_W = 0;
a->wordv = NULL; a->wordv = NULL;
a->info = 0; a->info = 0;
for(;;){ for(;;){
@ -140,7 +140,7 @@ uint8_t bigint_read_hex_echo(bigint_t* a){
/* we have to reverse the byte array */ /* we have to reverse the byte array */
uint8_t tmp; uint8_t tmp;
uint8_t *p, *q; uint8_t *p, *q;
a->length_B = (idx + sizeof(bigint_word_t)-1)/sizeof(bigint_word_t); a->length_W = (idx + sizeof(bigint_word_t)-1)/sizeof(bigint_word_t);
p = (uint8_t*)(a->wordv); p = (uint8_t*)(a->wordv);
q = (uint8_t*)a->wordv + idx - 1; q = (uint8_t*)a->wordv + idx - 1;
while(q>p){ while(q>p){