#define DEBUG 0
-#if DEBUG
+#if DEBUG || 1
#include "cli.h"
#include "bigint_io.h"
+#include <stdio.h>
#endif
#ifndef MAX
/******************************************************************************/
void bigint_copy(bigint_t* dest, const bigint_t* src){
- memcpy(dest->wordv, src->wordv, src->length_W*sizeof(bigint_word_t));
- dest->length_W = src->length_W;
+ if(dest->wordv != src->wordv){
+ memcpy(dest->wordv, src->wordv, src->length_W * sizeof(bigint_word_t));
+ }
+ dest->length_W = src->length_W;
dest->info = src->info;
}
XCHG_PTR(a,b);
}
for(i = 0; i < b->length_W; ++i){
+// t = (bigint_wordplus_t)(a->wordv[i]) + (bigint_wordplus_t)(b->wordv[i]) + t;
t += a->wordv[i];
t += b->wordv[i];
dest->wordv[i] = (bigint_word_t)t;
t >>= BIGINT_WORD_SIZE;
}
- for(; i < a->length_W; ++i){
+ for(; i<a->length_W; ++i){
t += a->wordv[i];
dest->wordv[i] = (bigint_word_t)t;
t >>= BIGINT_WORD_SIZE;
bigint_add_u(dest, dest, a);
return;
}
-#if DEBUG_ADD_SCALE
- cli_putstr_P(PSTR("\r\nDBG: bigint_add_scale("));
- bigint_print_hex(dest);
- cli_putc(',');
- bigint_print_hex(dest);
- cli_putc(',');
- cli_hexdump_rev(&scale, 2);
- cli_putc(')');
-#endif
-#if BIGINT_WORD_SIZE == 8
- if(scale >= dest->length_W){
-#if DEBUG_ADD_SCALE
- cli_putstr_P(PSTR("\r\n\tpath one"));
-#endif
- memset(dest->wordv + dest->length_W, 0, scale - dest->length_W);
- memcpy(dest->wordv + scale, a->wordv, a->length_W);
- dest->info = a->info;
- dest->length_W = a->length_W + scale;
- return;
- }
bigint_t x;
-#if DEBUG_ADD_SCALE
- cli_putstr_P(PSTR("\r\n\tpath two"));
-#endif
- x.length_W = dest->length_W - scale;
- x.info = dest->info;
+#if BIGINT_WORD_SIZE == 8
+ memset(dest->wordv + dest->length_W, 0, MAX(dest->length_W, a->length_W + scale) - dest->length_W);
x.wordv = dest->wordv + scale;
+ x.length_W = dest->length_W - scale;
+ if((int16_t)x.length_W < 0){
+ x.length_W = 0;
+ x.info = 0;
+ } else {
+ x.info = dest->info;
+ }
bigint_add_u(&x, &x, a);
dest->length_W = x.length_W + scale;
dest->info = 0;
dest->info = 0;
bigint_adjust(dest);
#endif
-
-
-/* uint16_t i,j=0;
- uint16_t scale_w;
- bigint_word_t *dst;
- bigint_wordplus_t t=0;
- scale_w = (scale+sizeof(bigint_word_t)-1)/sizeof(bigint_word_t);
- if(scale>dest->length_W*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));
- dst = dest->wordv + (scale&(sizeof(bigint_word_t)-1));
- for(i=scale/sizeof(bigint_word_t); i<a->length_W+scale_w; ++i,++j){
- t += a->wordv[j];
- if(dest->length_W>i){
- t += dst[i];
- }
- dst[i] = (bigint_word_t)t;
- t>>=BIGINT_WORD_SIZE;
- }
- while(t){
- if(dest->length_W>i){
- t += dst[i];
- }
- dst[i] = (bigint_word_t)t;
- t>>=BIGINT_WORD_SIZE;
- ++i;
- }
- if(dest->length_W < i){
- dest->length_W = i;
- }
- bigint_adjust(dest);
- */
}
/******************************************************************************/
int8_t r;
bigint_wordplus_signed_t t=0LL;
uint16_t i;
- r = bigint_cmp_u(a,b);
- if(r==0){
- bigint_set_zero(dest);
- return;
- }
- if(b->length_W==0){
+ if(b->length_W == 0){
bigint_copy(dest, a);
SET_POS(dest);
return;
}
- if(a->length_W==0){
+ if(a->length_W == 0){
bigint_copy(dest, b);
SET_NEG(dest);
return;
}
- if(r<0){
+ r = bigint_cmp_u(a,b);
+ if(r == 0){
+ bigint_set_zero(dest);
+ return;
+ }
+ if(r < 0){
bigint_sub_u(dest, b, a);
SET_NEG(dest);
return;
}
- for(i=0; i < a->length_W; ++i){
+ for(i = 0; i < a->length_W; ++i){
t = a->wordv[i];
if(i < b->length_W){
t -= b->wordv[i];
if(a->length_W < b->length_W){
return -1;
}
- if(a->length_W == 0){
+ if(a->length_W==0){
return 0;
}
uint16_t i;
int16_t i;
uint8_t bitshift;
bigint_word_t *p;
- bigint_wordplus_t t=0;
+ bigint_wordplus_t t = 0;
if(shift == 0){
return;
}
byteshift = shift / 8;
bitshift = shift & 7;
- memset(&a->wordv[a->length_W], 0x00, byteshift);
+
if(byteshift){
- memmove(((uint8_t*)a->wordv)+byteshift, a->wordv, a->length_W * sizeof(bigint_word_t));
+ memmove(((uint8_t*)a->wordv) + byteshift, a->wordv, a->length_W * sizeof(bigint_word_t));
memset(a->wordv, 0, byteshift);
}
- if(bitshift != 0){
- p = (bigint_word_t*)((uint8_t*)a->wordv + byteshift / sizeof(bigint_word_t));
- words_to_shift = a->length_W + ((byteshift % sizeof(bigint_word_t))?1:0);
- /* XXX */
- for(i = 0; i < words_to_shift; ++i){
- t |= ((bigint_wordplus_t)p[i]) << bitshift;
- p[i] = (bigint_word_t)t;
- t >>= BIGINT_WORD_SIZE;
- }
- p[i] = (bigint_word_t)t;
+ if(bitshift == 0){
+ a->length_W += (byteshift + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t);
+ bigint_adjust(a);
+ return;
}
- a->length_W += (shift + BIGINT_WORD_SIZE - 1) / BIGINT_WORD_SIZE;
+ p = a->wordv + byteshift / sizeof(bigint_word_t);
+ words_to_shift = a->length_W + (byteshift % sizeof(bigint_word_t)?1:0);
+ for(i=0; i < words_to_shift; ++i){
+ t |= ((bigint_wordplus_t)p[i]) << bitshift;
+ p[i] = (bigint_word_t)t;
+ t >>= BIGINT_WORD_SIZE;
+ }
+ if(t){
+ p[i] = (bigint_word_t)t;
+ a->length_W += 1;
+ }
+ a->length_W += (byteshift + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t);
bigint_adjust(a);
}
uint16_t byteshift;
uint16_t i;
uint8_t bitshift;
- bigint_wordplus_t t=0;
- byteshift = shift/8;
- bitshift = shift&7;
+ bigint_wordplus_t t = 0;
+ byteshift = shift / 8;
+ bitshift = shift & 7;
+
if(byteshift >= a->length_W * sizeof(bigint_word_t)){ /* we would shift out more than we have */
bigint_set_zero(a);
return;
bigint_set_zero(a);
return;
}
+
if(byteshift){
memmove(a->wordv, (uint8_t*)a->wordv + byteshift, a->length_W * sizeof(bigint_word_t) - byteshift);
- memset((uint8_t*)a->wordv + a->length_W * sizeof(bigint_word_t) - byteshift, 0, byteshift);
}
- byteshift /= sizeof(bigint_word_t);
- a->length_W -= (byteshift + sizeof(bigint_word_t) - 1) / sizeof(bigint_word_t);
+
+ byteshift /= sizeof(bigint_word_t); /* byteshift is now wordshift */
+ a->length_W -= byteshift;
if(bitshift != 0 && a->length_W){
/* shift to the right */
i = a->length_W - 1;
/* 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_W==0 || b->length_W==0){
+ if(a->length_W == 0 || b->length_W == 0){
bigint_set_zero(dest);
return;
}
- if(dest==a || dest==b){
+ if(dest == a || dest == b){
bigint_t d;
bigint_word_t d_b[a->length_W + b->length_W];
d.wordv = d_b;
bigint_copy(dest, &d);
return;
}
- if(a->length_W==1 || b->length_W==1){
+ if(a->length_W == 1 || b->length_W == 1){
if(a->length_W != 1){
XCHG_PTR(a,b);
}
- bigint_wordplus_t t=0;
+ bigint_wordplus_t t = 0;
uint16_t i;
bigint_word_t x = a->wordv[0];
for(i=0; i < b->length_W; ++i){
t += ((bigint_wordplus_t)b->wordv[i]) * ((bigint_wordplus_t)x);
dest->wordv[i] = (bigint_word_t)t;
- t>>=BIGINT_WORD_SIZE;
+ t >>= BIGINT_WORD_SIZE;
+ }
+ dest->length_W = i;
+ if(t){
+ dest->wordv[i] = (bigint_word_t)t;
+ dest->length_W += 1;
}
- dest->wordv[i] = (bigint_word_t)t;
- dest->length_W = i+1;
dest->info = 0;
bigint_adjust(dest);
return;
bigint_adjust(dest);
return;
}
-#if BIGINT_WORD_SIZE == 8
- if(a->length_W <= 4 || b->length_W <= 4){
- if(a->length_W > 4){
- XCHG_PTR(a,b);
- }
- uint32_t x = 0, y = 0;
- uint16_t j = b->length_W / 4, idx = 0;
- uint64_t r = 0;
- memcpy(&x, a->wordv, a->length_W);
- while(j){
- r += (uint64_t)((uint32_t*)b->wordv)[idx] * (uint64_t)x;
- ((uint32_t*)dest->wordv)[idx] = (uint32_t)r;
- r >>= 32;
- ++idx;
- --j;
- }
- idx *= 4;
- memcpy(&y, b->wordv + idx, b->length_W - idx);
- r += (uint64_t)y * (uint64_t)x;
- while(r){
- dest->wordv[idx++] = (uint8_t)r;
- r >>= 8;
- }
- dest->length_W = idx;
- bigint_adjust(dest);
- return;
- }
-#endif
/* split a in xh & xl; split b in yh & yl */
const uint16_t 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_W <= n){
+ if(a->length_W<=n){
bigint_set_zero(&xh);
xl.length_W = a->length_W;
xl.info = a->info;
}else{
- xl.length_W = n;
+ xl.length_W=n;
xl.info = 0;
bigint_adjust(&xl);
xh.wordv = &(a->wordv[n]);
xh.length_W = a->length_W-n;
xh.info = a->info;
}
- if(b->length_W <= n){
+ if(b->length_W<=n){
bigint_set_zero(&yh);
yl.length_W = b->length_W;
yl.info = b->info;
}else{
- yl.length_W = n;
+ yl.length_W=n;
yl.info = 0;
bigint_adjust(&yl);
yh.wordv = &(b->wordv[n]);
}
/* now we have split up a and b */
/* remember we want to do:
- * x*y = (xh * b ** n + xl) * (yh * b ** n + yl)
- * x*y = (xh*yh)*b**2n + ((xh+xl)*(yh+yl) - xh*yh - xl*yl)*b**n + xl*yl
- * 5 9 2 4 3 7 5 6 1 8 1
+ * x*y = (xh * b**n + xl) * (yh * b**n + yl)
+ * = (xh * yh) * b**2n + xh * b**n * yl + yh * b**n * xl + xl * yl
+ * = (xh * yh) * b**2n + (xh * yl + yh * xl) * b**n + xl *yl
+ * // xh * yl + yh * xl = (xh + yh) * (xl + yl) - xh * yh - xl * yl
+ * x*y = (xh * yh) * b**2n + ((xh+xl)*(yh+yl) - xh*yh - xl*yl)*b**n + xl*yl
+ * 5 9 2 4 3 7 5 6 1 8 1
*/
- bigint_word_t tmp1_b[n*2+2];
- bigint_t tmp1, tmp2;
- tmp1.wordv = tmp1_b;
- tmp2.wordv = &tmp1_b[n+1];
-
- bigint_add_u(&tmp2, &xh, &xl); /* 2: tmp2 <= xh + xl */
- bigint_add_u(&tmp1, &yh, &yl); /* 3: tmp1 <= yh + yl */
- bigint_mul_u(dest, &tmp2, &tmp1); /* 4: dest <= tmp2 * tmp1 */
- bigint_mul_u(&tmp1, &xh, &yh); /* 5: tmp1 <= xh * yh */
- bigint_sub_u(dest, dest, &tmp1); /* 7: dest <= dest - tmp1 */
- bigint_word_t tmp3_b[2*n];
- tmp2.wordv = tmp3_b;
- bigint_mul_u(&tmp2, &xl, &yl); /* 1: tmp3 <= xl * yl */
- bigint_sub_u(dest, dest, &tmp2); /* 6: dest <= dest - tmp3 */
- bigint_shiftleft(dest, n * sizeof(bigint_word_t) * 8);
- bigint_add_u(dest, dest, &tmp2); /* 8: dest <= tmp3 + dest ** n */
- bigint_add_scale_u(dest, &tmp1, 2*n*sizeof(bigint_word_t)); /* 9: dest <= dest + tmp1 ** (2 * n) */
-
-#if 0
- bigint_mul_u(dest, &xl, &yl); /* 1: dest <= xl * yl */
- bigint_add_u(&tmp2, &xh, &xl); /* 2: tmp2 <= xh + xl */
- bigint_add_u(&tmp1, &yh, &yl); /* 3: tmp1 <= yh + yl */
- bigint_mul_u(&tmp3, &tmp2, &tmp1); /* 4: tmp3 <= tmp2 * tmp1 */
- bigint_mul_u(&tmp1, &xh, &yh); /* 5: h <= xh * yh */
- bigint_sub_u(&tmp3, &tmp3, dest); /* 6: tmp3 <= tmp3 - dest */
- bigint_sub_u(&tmp3, &tmp3, &tmp1); /* 7: tmp3 <= tmp3 - h */
- bigint_add_scale_u(dest, &tmp3, n*sizeof(bigint_word_t)); /* 8: dest <= dest + tmp3 ** n */
- bigint_add_scale_u(dest, &tmp1, 2*n*sizeof(bigint_word_t)); /* 9: dest <= dest + tmp1 ** (2 * n) */
-#endif
+ bigint_word_t tmp_b[2 * n + 2], m_b[2 * (n + 1)];
+ bigint_t tmp, tmp2, m;
+ tmp.wordv = tmp_b;
+ tmp2.wordv = &(tmp_b[n + 1]);
+ m.wordv = m_b;
+
+ bigint_mul_u(dest, &xl, &yl); /* 1: dest <= xl*yl */
+ bigint_add_u(&tmp2, &xh, &xl); /* 2: tmp2 <= xh+xl */
+ bigint_add_u(&tmp, &yh, &yl); /* 3: tmp <= yh+yl */
+ bigint_mul_u(&m, &tmp2, &tmp); /* 4: m <= tmp2*tmp */
+ bigint_mul_u(&tmp, &xh, &yh); /* 5: tmp <= xh*yh */
+ bigint_sub_u(&m, &m, dest); /* 6: m <= m-dest */
+ bigint_sub_u(&m, &m, &tmp); /* 7: m <= m-tmp */
+ bigint_add_scale_u(dest, &m, n * sizeof(bigint_word_t)); /* 8: dest <= dest+m**n*/
+ bigint_add_scale_u(dest, &tmp, 2 * n * sizeof(bigint_word_t)); /* 9: dest <= dest+tmp**(2*n) */
}
/******************************************************************************/
/******************************************************************************/
+
+#if DEBUG_SQUARE
+unsigned square_depth = 0;
+#endif
+
/* 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){
uint64_t r = 0;
memcpy(&r, a->wordv, a->length_W * sizeof(bigint_word_t));
r = r * r;
- memcpy(dest->wordv, &r, 2 * a->length_W*sizeof(bigint_word_t));
+ memcpy(dest->wordv, &r, 2 * a->length_W * sizeof(bigint_word_t));
SET_POS(dest);
dest->length_W = 2 * a->length_W;
bigint_adjust(dest);
return;
}
- if(dest==a){
+ if(dest->wordv == a->wordv){
bigint_t d;
- bigint_word_t d_b[a->length_W * 2];
+ bigint_word_t d_b[a->length_W*2];
d.wordv = d_b;
bigint_square(&d, a);
bigint_copy(dest, &d);
return;
}
+
+#if DEBUG_SQUARE
+ square_depth += 1;
+#endif
+
uint16_t n;
- n = (a->length_W + 1) / 2;
+ n=(a->length_W+1)/2;
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.length_W = n;
xl.info = 0;
xh.wordv = &(a->wordv[n]);
- xh.length_W = a->length_W - n;
+ xh.length_W = a->length_W-n;
xh.info = a->info;
bigint_adjust(&xl);
tmp.wordv = buffer;
/* (xh * b**n + xl)**2 = xh**2 * b**2n + 2 * xh * xl * b**n + xl**2 */
-
-// cli_putstr("\r\nDBG (a): xl: "); bigint_print_hex(&xl);
-// cli_putstr("\r\nDBG (b): xh: "); bigint_print_hex(&xh);
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (a): xl: "); bigint_print_hex(&xl);
+ cli_putstr("\r\nDBG (b): xh: "); bigint_print_hex(&xh);
+ }
+#endif
bigint_square(dest, &xl);
-// cli_putstr("\r\nDBG (1): xl**2: "); bigint_print_hex(dest);
- bigint_square(&tmp, &xh);
-// cli_putstr("\r\nDBG (2): xh**2: "); bigint_print_hex(&tmp);
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (1): xl**2: "); bigint_print_hex(dest);
+ }
+#endif
+ bigint_square(&tmp, &xh);
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (2): xh**2: "); bigint_print_hex(&tmp);
+ }
+#endif
bigint_add_scale_u(dest, &tmp, 2 * n * sizeof(bigint_word_t));
-// cli_putstr("\r\nDBG (3): xl**2 + xh**2*n**2: "); bigint_print_hex(dest);
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (3): xl**2 + xh**2*n**2: "); bigint_print_hex(dest);
+ }
+#endif
bigint_mul_u(&tmp, &xl, &xh);
-// cli_putstr("\r\nDBG (4): xl*xh: "); bigint_print_hex(&tmp);
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (4): xl*xh: "); bigint_print_hex(&tmp);
+ }
+#endif
bigint_shiftleft(&tmp, 1);
-// cli_putstr("\r\nDBG (5): xl*xh*2: "); bigint_print_hex(&tmp);
- bigint_add_scale_u(dest, &tmp, n*sizeof(bigint_word_t));
-// cli_putstr("\r\nDBG (6): x**2: "); bigint_print_hex(dest);
-// cli_putstr("\r\n");
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (5): xl*xh*2: "); bigint_print_hex(&tmp);
+ }
+#endif
+ bigint_add_scale_u(dest, &tmp, n * sizeof(bigint_word_t));
+#if DEBUG_SQUARE
+ if(square_depth == 1){
+ cli_putstr("\r\nDBG (6): x**2: "); bigint_print_hex(dest);
+ cli_putstr("\r\n");
+ }
+ square_depth -= 1;
+#endif
}
/******************************************************************************/
bigint_copy(&tmp, b);
bigint_shiftleft(&tmp, bitscale % BIGINT_WORD_SIZE);
-// cli_putstr_P(PSTR("\r\nDBG: shifted value: ")); bigint_print_hex(&tmp);
-
x.info = a->info;
x.wordv = &(a->wordv[word_shift]);
x.length_W = a->length_W - word_shift;
bigint_sub_u(&x, &x, &tmp);
- a->length_W = x.length_W + word_shift;
bigint_adjust(a);
return;
}
}
while((GET_FBS(a) > rfbs) && (a->length_W == r->length_W)){
shift = GET_FBS(a)-rfbs-1;
-// cli_putstr("\r\nDBG: (2a) = "); bigint_print_hex(a);
// cli_putstr("\r\nDBG: (q) shift = "); cli_hexdump_rev(&shift, 2);
bigint_sub_u_bitscale(a, r, shift);
-// cli_putstr("\r\nDBG: (2b) = "); bigint_print_hex(a);
+// cli_putstr("\r\nDBG: (2) = "); bigint_print_hex(a);
}
while(bigint_cmp_u(a,r)>=0){
bigint_sub_u(a,a,r);
// cli_putstr("\r\nDBG: (3) = "); bigint_print_hex(a);
}
-// cli_putc(' ');
bigint_adjust(a);
// cli_putstr("\r\nDBG: (a) = "); bigint_print_hex(a);
// cli_putstr("\r\n");
if(flag){
bigint_square(&res, &res);
bigint_reduce(&res, r);
- if(t & (1<<(BIGINT_WORD_SIZE-1))){
+ if(t & (1 << (BIGINT_WORD_SIZE - 1))){
bigint_mul_u(&res, &res, &base);
bigint_reduce(&res, r);
}
}
- t<<=1;
+ t <<= 1;
}
}
}
/******************************************************************************/
-
+#if 1
#define cli_putstr(a)
+#define cli_putstr_P(a)
#define bigint_print_hex(a)
#define cli_hexdump_rev(a,b)
#define uart_flush(a)
-
+#define printf_P(...)
+#endif
/* gcd <-- gcd(x,y) a*x+b*y=gcd */
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_;
- uint16_t i=0;
- if(x->length_W==0 || y->length_W==0){
+ uint16_t i = 0;
+ printf_P(PSTR("\nDBG: gcdext( "));
+ bigint_print_hex(x);
+ printf_P(PSTR(", "));
+ bigint_print_hex(y);
+ printf_P(PSTR(")\n"));
+ if(x->length_W == 0 || y->length_W == 0){
+ printf_P(PSTR("\nDBG: got zero in gcd <%s %s %d>\n"), __FILE__, __func__, __LINE__);
+ if(gcd){
+ bigint_set_zero(gcd);
+ }
+ if(a){
+ bigint_set_zero(a);
+ }
+ if(b){
+ bigint_set_zero(b);
+ }
return;
}
- if(x->length_W==1 && x->wordv[0]==1){
- gcd->length_W = 1;
- gcd->wordv[0] = 1;
+ if(x->length_W == 1 && x->wordv[0] == 1){
+ if(gcd){
+ gcd->length_W = 1;
+ gcd->wordv[0] = 1;
+ gcd->info = 0;
+ }
if(a){
a->length_W = 1;
a->wordv[0] = 1;
}
return;
}
- if(y->length_W==1 && y->wordv[0]==1){
- gcd->length_W = 1;
- gcd->wordv[0] = 1;
+ if(y->length_W == 1 && y->wordv[0] == 1){
+ if(gcd){
+ gcd->length_W = 1;
+ gcd->wordv[0] = 1;
+ gcd->info = 0;
+ }
if(b){
b->length_W = 1;
b->wordv[0] = 1;
return;
}
- while(x->wordv[i]==0 && y->wordv[i]==0){
+ while(x->wordv[i] == 0 && y->wordv[i] == 0){
++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_W-i], v_b[y->length_W-i];
- bigint_word_t a_b[y->length_W+2], c_b[y->length_W+2];
- bigint_word_t b_b[x->length_W+2], d_b[x->length_W+2];
+ 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_W - i], v_b[y->length_W - i];
+ bigint_word_t a_b[y->length_W + 2], c_b[y->length_W + 2];
+ bigint_word_t b_b[x->length_W + 2], d_b[x->length_W + 2];
+ bigint_t g, x_, y_, u, v, a_, b_, c_, d_;
g.wordv = g_b;
x_.wordv = x_b;
y_.wordv = y_b;
- memset(g_b, 0, i*sizeof(bigint_word_t));
- g_b[i]=1;
- g.length_W = i+1;
- g.info=0;
+ memset(g_b, 0, i * sizeof(bigint_word_t));
+ g_b[i] = 1;
+ g.length_W = i + 1;
+ g.info = 0;
x_.info = y_.info = 0;
- x_.length_W = x->length_W-i;
- y_.length_W = y->length_W-i;
- memcpy(x_.wordv, x->wordv+i, x_.length_W*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){
+ x_.length_W = x->length_W - i;
+ y_.length_W = y->length_W - i;
+ memcpy(x_.wordv, x->wordv + i, x_.length_W * 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){
}
bigint_adjust(&x_);
d_.info = 0;
bigint_set_zero(&b_);
bigint_set_zero(&c_);
+ printf_P(PSTR("\nloop: x_ = "));
+ bigint_print_hex(&x_);
+ printf_P(PSTR("; y_ = "));
+ bigint_print_hex(&y_);
do{
- cli_putstr("\r\nDBG (gcdext) 0");
- while((u.wordv[0]&1)==0){
- cli_putstr("\r\nDBG (gcdext) 0.1");
+ printf_P(PSTR("\nDBG (gcdext) 0"));
+ while((u.wordv[0] & 1) == 0){
+ printf_P(PSTR("\nDBG (gcdext) 0.1"));
bigint_shiftright(&u, 1);
- if((a_.wordv[0]&1) || (b_.wordv[0]&1)){
+ if((a_.wordv[0] & 1) || (b_.wordv[0] & 1)){
bigint_add_s(&a_, &a_, &y_);
bigint_sub_s(&b_, &b_, &x_);
}
bigint_shiftright(&a_, 1);
bigint_shiftright(&b_, 1);
+ printf_P(PSTR(" a_ = "));
+ bigint_print_hex(&a_);
+ printf_P(PSTR("; b_ = "));
+ bigint_print_hex(&b_);
}
- while((v.wordv[0]&1)==0){
- cli_putstr("\r\nDBG (gcdext) 0.2");
+ while((v.wordv[0] & 1) == 0){
+ printf_P(PSTR("\nDBG (gcdext) 0.2"));
bigint_shiftright(&v, 1);
- if((c_.wordv[0]&1) || (d_.wordv[0]&1)){
+ if((c_.wordv[0] & 1) || (d_.wordv[0] & 1)){
bigint_add_s(&c_, &c_, &y_);
bigint_sub_s(&d_, &d_, &x_);
}
+ printf_P(PSTR(" c* = "));
+ bigint_print_hex(&c_);
bigint_shiftright(&c_, 1);
bigint_shiftright(&d_, 1);
-
+ printf_P(PSTR(" c_ = "));
+ bigint_print_hex(&c_);
+ printf_P(PSTR("; d_ = "));
+ bigint_print_hex(&d_);
}
- if(bigint_cmp_u(&u, &v)>=0){
+ if(bigint_cmp_u(&u, &v) >= 0){
+ printf_P(PSTR("\nDBG (gcdext) 0.3"));
bigint_sub_u(&u, &u, &v);
bigint_sub_s(&a_, &a_, &c_);
bigint_sub_s(&b_, &b_, &d_);
+ printf_P(PSTR(" a_ = "));
+ bigint_print_hex(&a_);
+ printf_P(PSTR("; b_ = "));
+ bigint_print_hex(&b_);
}else{
+ printf_P(PSTR("\nDBG (gcdext) 0.4"));
bigint_sub_u(&v, &v, &u);
bigint_sub_s(&c_, &c_, &a_);
bigint_sub_s(&d_, &d_, &b_);
+ printf_P(PSTR(" c_ = "));
+ bigint_print_hex(&c_);
+ printf_P(PSTR("; d_ = "));
+ bigint_print_hex(&d_);
}
}while(u.length_W);
if(gcd){
projects / avr-crypto-lib.git / commitdiff