going to remove debug stuff ...
This commit is contained in:
bg
parent
4bd4efef59
commit
ca25e57ca6
322
bigint/bigint.c
322
bigint/bigint.c
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@ -164,29 +164,8 @@ void bigint_sub_u(bigint_t* dest, const bigint_t* a, const bigint_t* b){
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return;
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}
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if(r<0){
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for(i=0; i<min; ++i){
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t = a->wordv[i] - b->wordv[i] - borrow;
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if(t<1){
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borrow = 0;
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dest->wordv[i]=(uint8_t)(-t);
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}else{
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borrow = -1;
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dest->wordv[i]=(uint8_t)(-t);
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}
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}
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for(;i<max; ++i){
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t = b->wordv[i] + borrow;
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if(t<1){
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borrow = 0;
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dest->wordv[i]=(uint8_t)t;
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}else{
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borrow = -1;
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dest->wordv[i]=(uint8_t)t;
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}
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}
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bigint_sub_u(dest, b, a);
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SET_NEG(dest);
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dest->length_B = i;
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bigint_adjust(dest);
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}else{
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for(i=0; i<min; ++i){
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t = a->wordv[i] - b->wordv[i] - borrow;
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@ -224,12 +203,6 @@ int8_t bigint_cmp_u(const bigint_t* a, const bigint_t* b){
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if(a->length_B < b->length_B){
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return -1;
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}
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if(GET_FBS(a) > GET_FBS(b)){
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return 1;
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}
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if(GET_FBS(a) < GET_FBS(b)){
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return -1;
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}
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if(a->length_B==0){
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return 0;
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}
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@ -304,6 +277,9 @@ void bigint_sub_s(bigint_t* dest, const bigint_t* a, const bigint_t* b){
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int8_t bigint_cmp_s(const bigint_t* a, const bigint_t* b){
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uint8_t s;
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if(a->length_B==0 && b->length_B==0){
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return 0;
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}
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s = GET_SIGN(a)?2:0;
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s |= GET_SIGN(b)?1:0;
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switch(s){
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@ -369,15 +345,11 @@ void bigint_shiftright(bigint_t* a, uint16_t shift){
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byteshift = shift/8;
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bitshift = shift&7;
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if(byteshift >= a->length_B){ /* we would shift out more than we have */
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a->length_B=0;
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a->wordv[0] = 0;
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SET_FBS(a, 0);
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bigint_set_zero(a);
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return;
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}
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if(byteshift == a->length_B-1 && bitshift>GET_FBS(a)){
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a->length_B=0;
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a->wordv[0] = 0;
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SET_FBS(a, 0);
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bigint_set_zero(a);
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return;
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}
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if(byteshift){
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@ -419,6 +391,14 @@ void bigint_set_zero(bigint_t* a){
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/* using the Karatsuba-Algorithm */
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/* x*y = (xh*yh)*b**2n + ((xh+xl)*(yh+yl) - xh*yh - xl*yl)*b**n + yh*yl */
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void bigint_mul_u(bigint_t* dest, const bigint_t* a, const bigint_t* b){
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if(dest==a || dest==b){
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bigint_t d;
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uint8_t d_b[a->length_B+b->length_B];
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d.wordv = d_b;
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bigint_mul_u(&d, a, b);
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bigint_copy(dest, &d);
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return;
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}
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if(a->length_B==0 || b->length_B==0){
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bigint_set_zero(dest);
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return;
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@ -493,7 +473,7 @@ void bigint_mul_u(bigint_t* dest, const bigint_t* a, const bigint_t* b){
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bigint_mul_u(dest, &xl, &yl); /* dest <= xl*yl */
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bigint_add_u(&tmp2, &xh, &xl); /* tmp2 <= xh+xl */
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bigint_add_u(&tmp, &yh, &yl); /* tmp <= yh+yl */
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bigint_mul_u(&m, &tmp2, &tmp); /* m <= tmp*tmp */
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bigint_mul_u(&m, &tmp2, &tmp); /* m <= tmp2*tmp */
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bigint_mul_u(&tmp, &xh, &yh); /* h <= xh*yh */
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bigint_sub_u(&m, &m, dest); /* m <= m-dest */
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bigint_sub_u(&m, &m, &tmp); /* m <= m-h */
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@ -544,6 +524,14 @@ void bigint_square(bigint_t* dest, const bigint_t* a){
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bigint_adjust(dest);
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return;
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}
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if(dest==a){
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bigint_t d;
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uint8_t d_b[a->length_B*2];
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d.wordv = d_b;
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bigint_square(&d, a);
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bigint_copy(dest, &d);
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return;
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}
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uint16_t n;
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n=(a->length_B+1)/2;
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bigint_t xh, xl, tmp; /* x-high, x-low, temp */
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@ -609,20 +597,282 @@ void bigint_sub_u_bitscale(bigint_t* a, const bigint_t* b, uint16_t bitscale){
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void bigint_reduce(bigint_t* a, const bigint_t* r){
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uint8_t rfbs = GET_FBS(r);
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/*
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cli_putstr_P(PSTR("\r\nreduce "));
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bigint_print_hex(a);
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cli_putstr_P(PSTR(" % "));
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bigint_print_hex(r);
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cli_putstr_P(PSTR("\r\n"));
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*/
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if(r->length_B==0){
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return;
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}
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while(a->length_B > r->length_B){
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bigint_sub_u_bitscale(a, r, (a->length_B-r->length_B)*8+GET_FBS(a)-rfbs-1);
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}
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while(GET_FBS(a) > rfbs+1){
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while((GET_FBS(a) > rfbs+1) && (a->length_B == r->length_B)){
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bigint_sub_u_bitscale(a, r, GET_FBS(a)-rfbs-1);
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}
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while(bigint_cmp_u(a,r)>=0){
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bigint_sub_u(a,a,r);
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}
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bigint_adjust(a);
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}
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/******************************************************************************/
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/* calculate dest = a**exp % r */
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/* using square&multiply */
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void bigint_expmod_u(bigint_t* dest, const bigint_t* a, const bigint_t* exp, const bigint_t* r){
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bigint_t tmp, tmp2, x;
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uint8_t x_b[MAX(r->length_B, a->length_B)], tmp_b[r->length_B*2], tmp2_b[r->length_B*2];
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int16_t i;
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uint8_t j;
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x.wordv = x_b;
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tmp.wordv = tmp_b;
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tmp2.wordv = tmp2_b;
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bigint_copy(&x, a);
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bigint_reduce(&x, r);
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bigint_copy(&tmp, &x);
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if(a->length_B==0 || exp->length_B==0 || r->length_B==0){
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return;
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}
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i=exp->length_B-1;
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if(exp->wordv[i]!=1){
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for(j=1<<(GET_FBS(exp)-1); j>0; j>>=1){
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// cli_putc('Q');
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bigint_square(&tmp2, &tmp);
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bigint_reduce(&tmp2, r);
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if(exp->wordv[i]&j){
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// cli_putc('M');
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bigint_mul_u(&tmp, &tmp2, &x);
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bigint_reduce(&tmp, r);
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}else{
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bigint_copy(&tmp, &tmp2);
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}
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}
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}
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for(--i; i>=0; --i){
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for(j=0x80; j>0; j>>=1){
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// cli_putc('q');
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bigint_square(&tmp2, &tmp);
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bigint_reduce(&tmp2, r);
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if(exp->wordv[i]&j){
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// cli_putc('m');
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bigint_mul_u(&tmp, &tmp2, &x);
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bigint_reduce(&tmp, r);
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}else{
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bigint_copy(&tmp, &tmp2);
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}
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}
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}
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// cli_putstr_P(PSTR("\r\n"));
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bigint_copy(dest, &tmp);
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}
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#define DEBUG 0
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/******************************************************************************/
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/* gcd <-- gcd(x,y) a*x+b*y=gcd */
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void bigint_gcdext(bigint_t* gcd, bigint_t* a, bigint_t* b, const bigint_t* x, const bigint_t* y){
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bigint_t g, x_, y_, u, v, a_, b_, c_, d_;
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volatile uint16_t i=0;
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if(x->length_B==0 || y->length_B==0){
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return;
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}
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while(x->wordv[i]==0 && y->wordv[i]==0){
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++i;
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}
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uint8_t g_b[i+2], x_b[x->length_B-i], y_b[y->length_B-i];
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uint8_t u_b[x->length_B-i], v_b[y->length_B-i];
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uint8_t a_b[y->length_B+2], c_b[y->length_B+2];
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uint8_t b_b[x->length_B+2], d_b[x->length_B+2];
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g.wordv = g_b;
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x_.wordv = x_b;
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y_.wordv = y_b;
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memset(g_b, 0, i);
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g_b[i]=1;
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g.length_B = i+1;
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g.info=0;
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x_.info = y_.info = 0;
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x_.length_B = x->length_B-i;
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y_.length_B = y->length_B-i;
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memcpy(x_.wordv, x->wordv+i, x_.length_B);
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memcpy(y_.wordv, y->wordv+i, y_.length_B);
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for(i=0; (x_.wordv[0]&(1<<i))==0 && (y_.wordv[0]&(1<<i))==0; ++i){
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}
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#if DEBUG
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cli_putstr_P(PSTR("\r\nDBG: initshift = "));
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cli_hexdump_rev(&i, 2);
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#endif
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bigint_adjust(&x_);
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bigint_adjust(&y_);
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if(i){
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bigint_shiftleft(&g, i);
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#if DEBUG
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cli_putstr_P(PSTR("\r\nDBG: initshift (2) = "));
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cli_hexdump_rev(&i, 2);
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cli_putstr_P(PSTR("\r\n x' = "));
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bigint_print_hex(&x_);
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cli_putstr_P(PSTR("\r\n y' = "));
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bigint_print_hex(&y_);
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#endif
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bigint_shiftright(&x_, i);
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bigint_shiftright(&y_, i);
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#if DEBUG
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cli_putstr_P(PSTR("\r\n x' = "));
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bigint_print_hex(&x_);
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cli_putstr_P(PSTR("\r\n y' = "));
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bigint_print_hex(&y_);
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#endif
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}
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u.wordv = u_b;
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v.wordv = v_b;
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a_.wordv = a_b;
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b_.wordv = b_b;
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c_.wordv = c_b;
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d_.wordv = d_b;
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bigint_copy(&u, &x_);
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bigint_copy(&v, &y_);
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a_.wordv[0] = 1;
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a_.length_B = 1;
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a_.info = 0;
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d_.wordv[0] = 1;
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d_.length_B = 1;
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d_.info = 0;
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bigint_set_zero(&b_);
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bigint_set_zero(&c_);
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do{
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#if DEBUG
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cli_putstr_P(PSTR("\r\n while u%2==0; u = "));
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bigint_print_hex(&u);
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cli_putstr_P(PSTR("\r\nDBG: (10) a = "));
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bigint_print_hex(&a_);
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cli_putstr_P(PSTR("\r\nDBG: (10) b = "));
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bigint_print_hex(&b_);
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cli_putstr_P(PSTR("\r\nDBG: (10) c = "));
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bigint_print_hex(&c_);
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cli_putstr_P(PSTR("\r\nDBG: (10) d = "));
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bigint_print_hex(&d_);
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#endif
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while((u.wordv[0]&1)==0){
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bigint_shiftright(&u, 1);
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if((a_.wordv[0]&1) || (b_.wordv[0]&1)){
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bigint_add_s(&a_, &a_, &y_);
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bigint_sub_s(&b_, &b_, &x_);
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}
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bigint_shiftright(&a_, 1);
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bigint_shiftright(&b_, 1);
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}
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#if DEBUG
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cli_putstr_P(PSTR("\r\n while v%2==0; v = "));
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bigint_print_hex(&v);
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cli_putstr_P(PSTR("\r\nDBG: (20) a = "));
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bigint_print_hex(&a_);
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cli_putstr_P(PSTR("\r\nDBG: (20) b = "));
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bigint_print_hex(&b_);
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cli_putstr_P(PSTR("\r\nDBG: (20) c = "));
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bigint_print_hex(&c_);
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cli_putstr_P(PSTR("\r\nDBG: (20) d = "));
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bigint_print_hex(&d_);
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#endif
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while((v.wordv[0]&1)==0){
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bigint_shiftright(&v, 1);
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if((c_.wordv[0]&1) || (d_.wordv[0]&1)){
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bigint_add_s(&c_, &c_, &y_);
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bigint_sub_s(&d_, &d_, &x_);
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}
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bigint_shiftright(&c_, 1);
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bigint_shiftright(&d_, 1);
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}
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#if DEBUG
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cli_putstr_P(PSTR("\r\n if u>=v ..."));
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cli_putstr_P(PSTR("\r\nDBG: (30) a = "));
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bigint_print_hex(&a_);
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cli_putstr_P(PSTR("\r\nDBG: (30) b = "));
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bigint_print_hex(&b_);
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cli_putstr_P(PSTR("\r\nDBG: (30) c = "));
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bigint_print_hex(&c_);
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cli_putstr_P(PSTR("\r\nDBG: (30) d = "));
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bigint_print_hex(&d_);
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#endif
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if(bigint_cmp_u(&u, &v)>=0){
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bigint_sub_u(&u, &u, &v);
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bigint_sub_s(&a_, &a_, &c_);
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bigint_sub_s(&b_, &b_, &d_);
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}else{
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bigint_sub_u(&v, &v, &u);
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bigint_sub_s(&c_, &c_, &a_);
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bigint_sub_s(&d_, &d_, &b_);
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}
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#if DEBUG
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if(GET_SIGN(&u)){
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cli_putstr_P(PSTR("\r\nDBG: u negative! u = "));
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bigint_print_hex(&u);
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}
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if(GET_SIGN(&v)){
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cli_putstr_P(PSTR("\r\nDBG: v negative! v = "));
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bigint_print_hex(&v);
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}
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#endif
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/*
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cli_putstr_P(PSTR("\r\nDBG: (2) a = "));
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bigint_print_hex(&a_);
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cli_putstr_P(PSTR("\r\nDBG: (2) b = "));
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bigint_print_hex(&b_);
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cli_putstr_P(PSTR("\r\nDBG: (2) c = "));
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bigint_print_hex(&c_);
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cli_putstr_P(PSTR("\r\nDBG: (2) d = "));
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bigint_print_hex(&d_);
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*/
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}while(u.length_B);
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if(gcd){
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bigint_mul_s(gcd, &v, &g);
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}
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if(a){
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bigint_copy(a, &c_);
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}
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if(b){
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bigint_copy(b, &d_);
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}
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}
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/******************************************************************************/
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void bigint_inverse(bigint_t* dest, bigint_t* a, bigint_t* m){
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bigint_gcdext(NULL, dest, NULL, a, m);
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while(dest->info&BIGINT_NEG_MASK){
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bigint_add_s(dest, dest, m);
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}
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}
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@ -59,6 +59,10 @@ void bigint_mul_s(bigint_t* dest, const bigint_t* a, const bigint_t* b);
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void bigint_square(bigint_t* dest, const bigint_t* a);
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void bigint_sub_u_bitscale(bigint_t* a, const bigint_t* b, uint16_t bitscale);
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void bigint_reduce(bigint_t* a, const bigint_t* r);
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void bigint_expmod_u(bigint_t* dest, const bigint_t* a, const bigint_t* exp, const bigint_t* r);
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void bigint_gcdext(bigint_t* gcd, bigint_t* a, bigint_t* b, const bigint_t* x, const bigint_t* y);
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void bigint_inverse(bigint_t* dest, bigint_t* a, bigint_t* m);
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/******************************************************************************/
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#endif /*BIGINT_H_*/
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@ -18,19 +18,26 @@
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*/
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#include "cli.h"
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#include "hexdigit_tab.h"
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#include "bigint.h"
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#include <avr/pgmspace.h>
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#include <stdlib.h>
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#include <string.h>
|
||||
|
||||
void bigint_print_hex(const bigint_t* a){
|
||||
if(a->length_B==0){
|
||||
cli_putc('0');
|
||||
return;
|
||||
}
|
||||
if(a->info&BIGINT_NEG_MASK){
|
||||
cli_putc('-');
|
||||
}
|
||||
// cli_putc((a->info&BIGINT_NEG_MASK)?'-':'+'); /* print sign */
|
||||
if(a->length_B!=0){
|
||||
if(a->wordv[a->length_B-1]<0x10){
|
||||
cli_putc(pgm_read_byte(hexdigit_tab_uc_P+a->wordv[a->length_B-1]));
|
||||
cli_hexdump_rev(a->wordv, a->length_B-1);
|
||||
} else {
|
||||
cli_hexdump_rev(a->wordv, a->length_B);
|
||||
}else{
|
||||
cli_putc('0');
|
||||
}
|
||||
}
|
||||
|
||||
|
|
|
|||
|
|
@ -61,6 +61,56 @@ def readconfigfile(fname, conf)
|
|||
return conf
|
||||
end
|
||||
|
||||
################################################################################
|
||||
# expmod #
|
||||
################################################################################
|
||||
|
||||
def expmod(base, power, mod)
|
||||
result = 1
|
||||
while power > 0
|
||||
result = (result * base) % mod if power & 1 == 1
|
||||
base = (base * base) % mod
|
||||
power >>= 1;
|
||||
end
|
||||
return result
|
||||
end
|
||||
|
||||
################################################################################
|
||||
# gcdext #
|
||||
################################################################################
|
||||
|
||||
def gcdext(x,y)
|
||||
g=1
|
||||
while(x&1==0 && y&1==0) do
|
||||
x>>=1
|
||||
y>>=1
|
||||
g<<=1
|
||||
end
|
||||
u=x; v=y; a=1; b=0; c=0; d=1
|
||||
begin
|
||||
while(u&1==0) do
|
||||
if(a%2==1 || b%2==1)
|
||||
a += y
|
||||
b -= x
|
||||
end
|
||||
u>>=1; a>>=1; b>>=1
|
||||
end
|
||||
while(v&1==0) do
|
||||
if(c%2==1 || d%2==1)
|
||||
c += y
|
||||
d -= x
|
||||
end
|
||||
v>>=1; c>>=1; d>>=1;
|
||||
end
|
||||
if(u>=v)
|
||||
u -= v; a-=c; b-=d
|
||||
else
|
||||
v -= u; c-=a; d-=b
|
||||
end
|
||||
end while(u!=0)
|
||||
return[g*v, c, d]
|
||||
end
|
||||
|
||||
################################################################################
|
||||
# reset_system #
|
||||
################################################################################
|
||||
|
|
@ -189,7 +239,7 @@ def mul_test(a,b)
|
|||
$logfile.printf("[pass]: %s\n", line)
|
||||
return true
|
||||
else
|
||||
$logfile.printf("[fail (%s%s%s)]: %s", (a==a_)?"":"a", (b==b_)?"":"b", (c_==a+b)?"":"c",line)
|
||||
$logfile.printf("[fail (%s%s%s)]: %s", (a==a_)?"":"a", (b==b_)?"":"b", (c_==a*b)?"":"c",line)
|
||||
$logfile.printf(" ; should %s * %s = %s\n", a.to_s(16), b.to_s(16), (a*b).to_s(16))
|
||||
return false
|
||||
end
|
||||
|
|
@ -259,15 +309,17 @@ def reduce_test(a,b)
|
|||
end
|
||||
end while not /[\s]*enter b:[\s]*/.match(line)
|
||||
$sp.print(b.to_s(16)+" ")
|
||||
line=''
|
||||
begin
|
||||
line = $sp.gets()
|
||||
line = "" if line==nil
|
||||
line_tmp = $sp.gets()
|
||||
line_tmp = '' if line_tmp==nil
|
||||
line += line_tmp
|
||||
puts("DBG got: "+line) if $debug
|
||||
if /^Error:.*/.match(line)
|
||||
puts line
|
||||
return false
|
||||
end
|
||||
end while not m=/[\s]*([+-]?[0-9a-fA-F]*)[\s]+%[\s]+([+-]?[0-9a-fA-F]*)[\s]*=[\s]*([+-]?[0-9a-fA-F]*)/.match(line)
|
||||
end while not m=/[\s]*([+-]?[0-9a-fA-F]*)[\s]+%[\s]+([+-]?[0-9a-fA-F]*)[\s]*=[\s]*([+-]?[0-9a-fA-F]+)/.match(line)
|
||||
a_ = m[1].to_i(16)
|
||||
b_ = m[2].to_i(16)
|
||||
c_ = m[3].to_i(16)
|
||||
|
|
@ -276,13 +328,134 @@ def reduce_test(a,b)
|
|||
$logfile.printf("[pass]: %s\n", line)
|
||||
return true
|
||||
else
|
||||
$logfile.printf("[fail (%s%s%s)]: %s", (a==a_)?"":"a", (b==b_)?"":"b", (c_==a+b)?"":"c",line)
|
||||
$logfile.printf("[fail (%s%s%s)]: %s", (a==a_)?"":"a", (b==b_)?"":"b", (c_==a%b)?"":"c",line)
|
||||
$logfile.printf(" ; should %s %% %s = %s\n", a.to_s(16), b.to_s(16), (a%b).to_s(16))
|
||||
return false
|
||||
end
|
||||
return false
|
||||
end
|
||||
|
||||
################################################################################
|
||||
# expmod_test #
|
||||
################################################################################
|
||||
|
||||
def expmod_test(a,b,c)
|
||||
begin
|
||||
line = $sp.gets()
|
||||
line = "" if line==nil
|
||||
puts("DBG got: "+line) if $debug
|
||||
if /^Error:.*/.match(line)
|
||||
puts line
|
||||
return false
|
||||
end
|
||||
end while not /[\s]*enter a:[\s]*/.match(line)
|
||||
$sp.print(a.to_s(16)+" ")
|
||||
begin
|
||||
line = $sp.gets()
|
||||
line = "" if line==nil
|
||||
puts("DBG got: "+line) if $debug
|
||||
if /^Error:.*/.match(line)
|
||||
puts line
|
||||
return false
|
||||
end
|
||||
end while not /[\s]*enter b:[\s]*/.match(line)
|
||||
$sp.print(b.to_s(16)+" ")
|
||||
begin
|
||||
line = $sp.gets()
|
||||
line = "" if line==nil
|
||||
puts("DBG got: "+line) if $debug
|
||||
if /^Error:.*/.match(line)
|
||||
puts line
|
||||
return false
|
||||
end
|
||||
end while not /[\s]*enter c:[\s]*/.match(line)
|
||||
$sp.print(c.to_s(16)+" ")
|
||||
line=''
|
||||
begin
|
||||
line_tmp = $sp.gets()
|
||||
line_tmp = '' if line_tmp==nil
|
||||
line += line_tmp
|
||||
puts("DBG got: "+line) if $debug
|
||||
if /^Error:.*/.match(line)
|
||||
puts line
|
||||
return false
|
||||
end
|
||||
end while not m=/[\s]*([+-]?[0-9a-fA-F]*)\*\*([+-]?[0-9a-fA-F]*)[\s]+%[\s]+([+-]?[0-9a-fA-F]*)[\s]*=[\s]*([+-]?[0-9a-fA-F]+)/.match(line)
|
||||
a_ = m[1].to_i(16)
|
||||
b_ = m[2].to_i(16)
|
||||
c_ = m[3].to_i(16)
|
||||
d_ = m[4].to_i(16)
|
||||
line.chomp!
|
||||
if(a_== a && b_ == b && c_ == c && d_ ==expmod(a,b,c) )
|
||||
$logfile.printf("[pass]: %s\n", line)
|
||||
return true
|
||||
else
|
||||
$logfile.printf("[fail (%s%s%s%s)]: %s", (a==a_)?'':'a', (b==b_)?'':'b', (c_==c)?'':'c', (d_==expmod(a,b,c))?'':'d',line)
|
||||
$logfile.printf(" ; should %s**%s %% %s = %s\n", a.to_s(16), b.to_s(16), c.to_s(16), expmod(a,b,c).to_s(16))
|
||||
return false
|
||||
end
|
||||
return false
|
||||
end
|
||||
|
||||
################################################################################
|
||||
# gcdext_test #
|
||||
################################################################################
|
||||
|
||||
def gcdext_test(a,b)
|
||||
begin
|
||||
line = $sp.gets()
|
||||
line = "" if line==nil
|
||||
puts("DBG got: "+line) if $debug
|
||||
if /^Error:.*/.match(line)
|
||||
puts line
|
||||
return false
|
||||
end
|
||||
end while not /[\s]*enter a:[\s]*/.match(line)
|
||||
$sp.print(a.to_s(16)+" ")
|
||||
begin
|
||||
line = $sp.gets()
|
||||
line = "" if line==nil
|
||||
puts("DBG got: "+line) if $debug
|
||||
if /^Error:.*/.match(line)
|
||||
puts line
|
||||
return false
|
||||
end
|
||||
end while not /[\s]*enter b:[\s]*/.match(line)
|
||||
$sp.print(b.to_s(16)+" ")
|
||||
line=''
|
||||
begin
|
||||
line_tmp = $sp.gets()
|
||||
line_tmp = '' if line_tmp==nil
|
||||
line = '' if line.end_with?('\n')
|
||||
line += line_tmp
|
||||
puts("DBG got: "+line) if $debug
|
||||
if /^Error:.*/.match(line)
|
||||
puts line
|
||||
return false
|
||||
end
|
||||
end while not m=/gcdext\([\s]*([+-]?[0-9a-fA-F]*)[\s]*,[\s]*([+-]?[0-9a-fA-F]*)[\s]*\)[\s]*=> a = ([+-]?[0-9a-fA-F]+); b = ([+-]?[0-9a-fA-F]+); gcd = ([+-]?[0-9a-fA-F]+)/.match(line)
|
||||
a_ = m[1].to_i(16)
|
||||
b_ = m[2].to_i(16)
|
||||
c_ = m[3].to_i(16)
|
||||
d_ = m[4].to_i(16)
|
||||
e_ = m[5].to_i(16)
|
||||
line.chomp!
|
||||
line.gsub!("\r",'')
|
||||
line.gsub!("\n",'')
|
||||
ref = gcdext(a,b)
|
||||
if(a_== a && b_ == b && c_ == ref[1] && d_ == ref[2] && e_== ref[0])
|
||||
$logfile.printf("[pass]: %s\n", line)
|
||||
return true
|
||||
else
|
||||
$logfile.printf("[fail (%s%s%s%s%s)]: %s", (a==a_)?'':'a', (b==b_)?'':'b',
|
||||
(c_==ref[1])?'':'c', (d_==ref[2])?'':'d', (e_==ref[0])?'':'e', line)
|
||||
$logfile.printf(" ; should gcdext( %s, %s) => a = %s; b = %s; gcd = %s\n",
|
||||
a.to_s(16), b.to_s(16), ref[1].to_s(16), ref[2].to_s(16), ref[0].to_s(16))
|
||||
return false
|
||||
end
|
||||
return false
|
||||
end
|
||||
|
||||
################################################################################
|
||||
# run_test_add #
|
||||
################################################################################
|
||||
|
|
@ -398,6 +571,65 @@ def run_test_reduce(skip=0)
|
|||
end while length_a_B<4096/8
|
||||
end
|
||||
|
||||
################################################################################
|
||||
# run_test_expmod #
|
||||
################################################################################
|
||||
|
||||
def run_test_expmod(skip=0)
|
||||
length_a_B = skip+1
|
||||
length_b_B = skip+1
|
||||
length_c_B = skip+1
|
||||
begin
|
||||
$size = length_a_B
|
||||
(0..16).each do |i|
|
||||
a = rand(256**length_a_B)
|
||||
b = rand(256**length_b_B)+1
|
||||
c = rand(256**length_c_B)+1
|
||||
v = expmod_test(a, b, c)
|
||||
screen_progress(v)
|
||||
end
|
||||
(0..16).each do |i|
|
||||
b_size = rand(length_b_B+1)
|
||||
a = rand(256**length_a_B)
|
||||
b = rand(256**b_size)+1
|
||||
c = rand(256**b_size)+1
|
||||
v = expmod_test(a, b, c)
|
||||
screen_progress(v)
|
||||
end
|
||||
length_a_B += 1
|
||||
length_b_B += 1
|
||||
end while length_a_B<4096/8
|
||||
end
|
||||
|
||||
################################################################################
|
||||
# run_test_gcdext #
|
||||
################################################################################
|
||||
|
||||
def run_test_gcdext(skip=0)
|
||||
length_a_B = skip+1
|
||||
length_b_B = skip+1
|
||||
begin
|
||||
$size = length_a_B
|
||||
(0..16).each do |i|
|
||||
a = rand(256**length_a_B)
|
||||
b = rand(256**length_a_B)+1
|
||||
v = gcdext_test(a, b)
|
||||
$logfile.flush()
|
||||
screen_progress(v)
|
||||
end
|
||||
(0..16).each do |i|
|
||||
b_size = rand(length_b_B+1)
|
||||
a = rand(256**length_a_B)
|
||||
b = rand(256**b_size)+1
|
||||
v = gcdext_test(a, b)
|
||||
$logfile.flush()
|
||||
screen_progress(v)
|
||||
end
|
||||
length_a_B += 1
|
||||
length_b_B += 1
|
||||
end while length_a_B<4096/8
|
||||
end
|
||||
|
||||
################################################################################
|
||||
# MAIN #
|
||||
################################################################################
|
||||
|
|
@ -472,11 +704,15 @@ tests['a'] = proc {|x| run_test_add(x) }
|
|||
tests['m'] = proc {|x| run_test_mul(x) }
|
||||
tests['s'] = proc {|x| run_test_square(x) }
|
||||
tests['r'] = proc {|x| run_test_reduce(x) }
|
||||
tests['e'] = proc {|x| run_test_expmod(x) }
|
||||
tests['g'] = proc {|x| run_test_gcdext(x) }
|
||||
init_str = Hash.new
|
||||
init_str['a'] = 'add-test'
|
||||
init_str['m'] = 'mul-test'
|
||||
init_str['s'] = 'square-test'
|
||||
init_str['r'] = 'reduce-test'
|
||||
init_str['e'] = 'expmod-test'
|
||||
init_str['g'] = 'gcdext-test'
|
||||
|
||||
srand(0xdeadbeef)
|
||||
|
||||
|
|
@ -491,7 +727,7 @@ if opts['a']
|
|||
end
|
||||
end
|
||||
else
|
||||
'amsr'.each_char do |x|
|
||||
'amsre'.each_char do |x|
|
||||
if tests[x]
|
||||
puts init_str[x]
|
||||
init_system(init_str[x])
|
||||
|
|
|
|||
|
|
@ -164,7 +164,7 @@ void test_square_bigint(void){
|
|||
}
|
||||
|
||||
void test_reduce_bigint(void){
|
||||
bigint_t a, b, c;
|
||||
bigint_t a, b;
|
||||
cli_putstr_P(PSTR("\r\nreduce test\r\n"));
|
||||
for(;;){
|
||||
cli_putstr_P(PSTR("\r\nenter a:"));
|
||||
|
|
@ -190,6 +190,97 @@ void test_reduce_bigint(void){
|
|||
free(b.wordv);
|
||||
}
|
||||
}
|
||||
/* d = a**b % c */
|
||||
void test_expmod_bigint(void){
|
||||
bigint_t a, b, c, d;
|
||||
uint8_t *d_b;
|
||||
cli_putstr_P(PSTR("\r\nreduce test\r\n"));
|
||||
for(;;){
|
||||
cli_putstr_P(PSTR("\r\nenter a:"));
|
||||
if(bigint_read_hex_echo(&a)){
|
||||
cli_putstr_P(PSTR("\r\n end expmod test"));
|
||||
return;
|
||||
}
|
||||
cli_putstr_P(PSTR("\r\nenter b:"));
|
||||
if(bigint_read_hex_echo(&b)){
|
||||
free(a.wordv);
|
||||
cli_putstr_P(PSTR("\r\n end expmod test"));
|
||||
return;
|
||||
}
|
||||
cli_putstr_P(PSTR("\r\nenter c:"));
|
||||
if(bigint_read_hex_echo(&c)){
|
||||
free(a.wordv);
|
||||
free(b.wordv);
|
||||
cli_putstr_P(PSTR("\r\n end expmod test"));
|
||||
return;
|
||||
}
|
||||
d_b = malloc(c.length_B);
|
||||
if(d_b==NULL){
|
||||
cli_putstr_P(PSTR("\n\rERROR: Out of memory!"));
|
||||
free(a.wordv);
|
||||
free(b.wordv);
|
||||
free(c.wordv);
|
||||
continue;
|
||||
}
|
||||
d.wordv = d_b;
|
||||
cli_putstr_P(PSTR("\r\n "));
|
||||
bigint_print_hex(&a);
|
||||
cli_putstr_P(PSTR("**"));
|
||||
bigint_print_hex(&b);
|
||||
cli_putstr_P(PSTR(" % "));
|
||||
bigint_print_hex(&c);
|
||||
cli_putstr_P(PSTR(" = "));
|
||||
bigint_expmod_u(&d, &a, &b, &c);
|
||||
bigint_print_hex(&d);
|
||||
cli_putstr_P(PSTR("\r\n"));
|
||||
free(a.wordv);
|
||||
free(b.wordv);
|
||||
free(c.wordv);
|
||||
free(d.wordv);
|
||||
|
||||
}
|
||||
}
|
||||
|
||||
void test_gcdext_bigint(void){
|
||||
bigint_t a, b, c, d, e;
|
||||
cli_putstr_P(PSTR("\r\ngcdext test\r\n"));
|
||||
for(;;){
|
||||
cli_putstr_P(PSTR("\r\nenter a:"));
|
||||
if(bigint_read_hex_echo(&a)){
|
||||
cli_putstr_P(PSTR("\r\n end gcdext test"));
|
||||
return;
|
||||
}
|
||||
cli_putstr_P(PSTR("\r\nenter b:"));
|
||||
if(bigint_read_hex_echo(&b)){
|
||||
free(a.wordv);
|
||||
cli_putstr_P(PSTR("\r\n end gcdext test"));
|
||||
return;
|
||||
}
|
||||
c.wordv = malloc((a.length_B<b.length_B)?a.length_B:b.length_B);
|
||||
d.wordv = malloc(1+(a.length_B>b.length_B)?a.length_B:b.length_B);
|
||||
e.wordv = malloc(1+(a.length_B>b.length_B)?a.length_B:b.length_B);
|
||||
|
||||
cli_putstr_P(PSTR("\r\n gcdext( "));
|
||||
bigint_print_hex(&a);
|
||||
cli_putstr_P(PSTR(", "));
|
||||
bigint_print_hex(&b);
|
||||
cli_putstr_P(PSTR(") => "));
|
||||
bigint_gcdext(&c, &d, &e, &a, &b);
|
||||
cli_putstr_P(PSTR("a = "));
|
||||
bigint_print_hex(&d);
|
||||
cli_putstr_P(PSTR("; b = "));
|
||||
bigint_print_hex(&e);
|
||||
cli_putstr_P(PSTR("; gcd = "));
|
||||
bigint_print_hex(&c);
|
||||
|
||||
cli_putstr_P(PSTR("\r\n"));
|
||||
free(a.wordv);
|
||||
free(b.wordv);
|
||||
free(c.wordv);
|
||||
free(d.wordv);
|
||||
free(e.wordv);
|
||||
}
|
||||
}
|
||||
|
||||
void test_simple(void){
|
||||
bigint_t a, b, c;
|
||||
|
|
@ -317,6 +408,39 @@ void test_reduce_simple(void){
|
|||
bigint_print_hex(&c);
|
||||
}
|
||||
|
||||
/* gcdext( B5DDAD, 6CBBC2) */
|
||||
/* gcdext( CD319349, 9EFD76CC) */
|
||||
/* gcdext( 1609000771, 6FAC577D72) */
|
||||
/* */
|
||||
void test_gcdext_simple(void){
|
||||
bigint_t a, b, c, d, e;
|
||||
|
||||
uint8_t a_b[5] = {0x71, 0x07, 0x00, 0x09, 0x16};
|
||||
uint8_t b_b[5] = {0x72, 0x7D, 0x57, 0xAC, 0X6F};
|
||||
uint8_t c_b[6], d_b[6], e_b[6];
|
||||
a.wordv=a_b;
|
||||
a.length_B = 5;
|
||||
a.info=0x00;
|
||||
bigint_adjust(&a);
|
||||
b.wordv=b_b;
|
||||
b.length_B = 5;
|
||||
b.info=0x00;
|
||||
bigint_adjust(&b);
|
||||
c.wordv = c_b;
|
||||
d.wordv = d_b;
|
||||
e.wordv = e_b;
|
||||
bigint_gcdext(&c, &d, &e, &a, &b);
|
||||
cli_putstr_P(PSTR("\r\n test: gcd( "));
|
||||
bigint_print_hex(&a);
|
||||
cli_putstr_P(PSTR(", "));
|
||||
bigint_print_hex(&b);
|
||||
cli_putstr_P(PSTR(") => a = "));
|
||||
bigint_print_hex(&d);
|
||||
cli_putstr_P(PSTR("; b = "));
|
||||
bigint_print_hex(&e);
|
||||
cli_putstr_P(PSTR("; gcd = "));
|
||||
bigint_print_hex(&c);
|
||||
}
|
||||
|
||||
void testrun_performance_bigint(void){
|
||||
|
||||
|
|
@ -330,6 +454,8 @@ const char add_test_str[] PROGMEM = "add-test";
|
|||
const char mul_test_str[] PROGMEM = "mul-test";
|
||||
const char square_test_str[] PROGMEM = "square-test";
|
||||
const char reduce_test_str[] PROGMEM = "reduce-test";
|
||||
const char expmod_test_str[] PROGMEM = "expmod-test";
|
||||
const char gcdext_test_str[] PROGMEM = "gcdext-test";
|
||||
const char quick_test_str[] PROGMEM = "quick-test";
|
||||
const char performance_str[] PROGMEM = "performance";
|
||||
const char echo_str[] PROGMEM = "echo";
|
||||
|
|
@ -339,7 +465,9 @@ cmdlist_entry_t cmdlist[] PROGMEM = {
|
|||
{ mul_test_str, NULL, test_mul_bigint },
|
||||
{ square_test_str, NULL, test_square_bigint },
|
||||
{ reduce_test_str, NULL, test_reduce_bigint },
|
||||
{ quick_test_str, NULL, test_reduce_simple },
|
||||
{ expmod_test_str, NULL, test_expmod_bigint },
|
||||
{ gcdext_test_str, NULL, test_gcdext_bigint },
|
||||
{ quick_test_str, NULL, test_gcdext_simple },
|
||||
{ echo_test_str, NULL, test_echo_bigint },
|
||||
{ performance_str, NULL, testrun_performance_bigint },
|
||||
{ echo_str, (void*)1, (void_fpt)echo_ctrl },
|
||||
|
|
|
|||
Loading…
Reference in New Issue