return;
}
if(r<0){
- for(i=0; i<min; ++i){
- t = a->wordv[i] - b->wordv[i] - borrow;
- if(t<1){
- borrow = 0;
- dest->wordv[i]=(uint8_t)(-t);
- }else{
- borrow = -1;
- dest->wordv[i]=(uint8_t)(-t);
- }
- }
- for(;i<max; ++i){
- t = b->wordv[i] + borrow;
- if(t<1){
- borrow = 0;
- dest->wordv[i]=(uint8_t)t;
- }else{
- borrow = -1;
- dest->wordv[i]=(uint8_t)t;
- }
- }
+ bigint_sub_u(dest, b, a);
SET_NEG(dest);
- dest->length_B = i;
- bigint_adjust(dest);
}else{
for(i=0; i<min; ++i){
t = a->wordv[i] - b->wordv[i] - borrow;
if(a->length_B < b->length_B){
return -1;
}
- if(GET_FBS(a) > GET_FBS(b)){
- return 1;
- }
- if(GET_FBS(a) < GET_FBS(b)){
- return -1;
- }
if(a->length_B==0){
return 0;
}
int8_t bigint_cmp_s(const bigint_t* a, const bigint_t* b){
uint8_t s;
+ if(a->length_B==0 && b->length_B==0){
+ return 0;
+ }
s = GET_SIGN(a)?2:0;
s |= GET_SIGN(b)?1:0;
switch(s){
byteshift = shift/8;
bitshift = shift&7;
if(byteshift >= a->length_B){ /* we would shift out more than we have */
- a->length_B=0;
- a->wordv[0] = 0;
- SET_FBS(a, 0);
+ bigint_set_zero(a);
return;
}
if(byteshift == a->length_B-1 && bitshift>GET_FBS(a)){
- a->length_B=0;
- a->wordv[0] = 0;
- SET_FBS(a, 0);
+ bigint_set_zero(a);
return;
}
if(byteshift){
/* 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(dest==a || dest==b){
+ bigint_t d;
+ uint8_t d_b[a->length_B+b->length_B];
+ d.wordv = d_b;
+ bigint_mul_u(&d, a, b);
+ bigint_copy(dest, &d);
+ return;
+ }
if(a->length_B==0 || b->length_B==0){
bigint_set_zero(dest);
return;
bigint_mul_u(dest, &xl, &yl); /* dest <= xl*yl */
bigint_add_u(&tmp2, &xh, &xl); /* tmp2 <= xh+xl */
bigint_add_u(&tmp, &yh, &yl); /* tmp <= yh+yl */
- bigint_mul_u(&m, &tmp2, &tmp); /* m <= tmp*tmp */
+ bigint_mul_u(&m, &tmp2, &tmp); /* m <= tmp2*tmp */
bigint_mul_u(&tmp, &xh, &yh); /* h <= xh*yh */
bigint_sub_u(&m, &m, dest); /* m <= m-dest */
bigint_sub_u(&m, &m, &tmp); /* m <= m-h */
bigint_adjust(dest);
return;
}
+ if(dest==a){
+ bigint_t d;
+ uint8_t d_b[a->length_B*2];
+ d.wordv = d_b;
+ bigint_square(&d, a);
+ bigint_copy(dest, &d);
+ return;
+ }
uint16_t n;
n=(a->length_B+1)/2;
bigint_t xh, xl, tmp; /* x-high, x-low, temp */
void bigint_reduce(bigint_t* a, const bigint_t* r){
uint8_t rfbs = GET_FBS(r);
+/*
+ cli_putstr_P(PSTR("\r\nreduce "));
+ bigint_print_hex(a);
+ cli_putstr_P(PSTR(" % "));
+ bigint_print_hex(r);
+ cli_putstr_P(PSTR("\r\n"));
+*/
+
if(r->length_B==0){
return;
}
while(a->length_B > r->length_B){
bigint_sub_u_bitscale(a, r, (a->length_B-r->length_B)*8+GET_FBS(a)-rfbs-1);
}
- while(GET_FBS(a) > rfbs+1){
+
+ while((GET_FBS(a) > rfbs+1) && (a->length_B == r->length_B)){
bigint_sub_u_bitscale(a, r, GET_FBS(a)-rfbs-1);
}
+
while(bigint_cmp_u(a,r)>=0){
bigint_sub_u(a,a,r);
}
bigint_adjust(a);
}
+
+/******************************************************************************/
+
+/* calculate dest = a**exp % r */
+/* using square&multiply */
+void bigint_expmod_u(bigint_t* dest, const bigint_t* a, const bigint_t* exp, const bigint_t* r){
+ bigint_t tmp, tmp2, x;
+ uint8_t x_b[MAX(r->length_B, a->length_B)], tmp_b[r->length_B*2], tmp2_b[r->length_B*2];
+ int16_t i;
+ uint8_t j;
+ x.wordv = x_b;
+ tmp.wordv = tmp_b;
+ tmp2.wordv = tmp2_b;
+ bigint_copy(&x, a);
+ bigint_reduce(&x, r);
+ bigint_copy(&tmp, &x);
+ if(a->length_B==0 || exp->length_B==0 || r->length_B==0){
+ return;
+ }
+ i=exp->length_B-1;
+ if(exp->wordv[i]!=1){
+ for(j=1<<(GET_FBS(exp)-1); j>0; j>>=1){
+ // cli_putc('Q');
+ bigint_square(&tmp2, &tmp);
+ bigint_reduce(&tmp2, r);
+ if(exp->wordv[i]&j){
+ // cli_putc('M');
+ bigint_mul_u(&tmp, &tmp2, &x);
+ bigint_reduce(&tmp, r);
+ }else{
+ bigint_copy(&tmp, &tmp2);
+ }
+ }
+ }
+ for(--i; i>=0; --i){
+ for(j=0x80; j>0; j>>=1){
+// cli_putc('q');
+ bigint_square(&tmp2, &tmp);
+ bigint_reduce(&tmp2, r);
+ if(exp->wordv[i]&j){
+// cli_putc('m');
+ bigint_mul_u(&tmp, &tmp2, &x);
+ bigint_reduce(&tmp, r);
+ }else{
+ bigint_copy(&tmp, &tmp2);
+ }
+ }
+ }
+// cli_putstr_P(PSTR("\r\n"));
+ bigint_copy(dest, &tmp);
+}
+#define DEBUG 0
+/******************************************************************************/
+/* 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_;
+ volatile uint16_t i=0;
+ if(x->length_B==0 || y->length_B==0){
+ return;
+ }
+ while(x->wordv[i]==0 && y->wordv[i]==0){
+ ++i;
+ }
+ uint8_t g_b[i+2], x_b[x->length_B-i], y_b[y->length_B-i];
+ uint8_t u_b[x->length_B-i], v_b[y->length_B-i];
+ uint8_t a_b[y->length_B+2], c_b[y->length_B+2];
+ uint8_t b_b[x->length_B+2], d_b[x->length_B+2];
+
+ g.wordv = g_b;
+ x_.wordv = x_b;
+ y_.wordv = y_b;
+ memset(g_b, 0, i);
+ g_b[i]=1;
+ g.length_B = i+1;
+ g.info=0;
+ x_.info = y_.info = 0;
+ x_.length_B = x->length_B-i;
+ y_.length_B = y->length_B-i;
+ memcpy(x_.wordv, x->wordv+i, x_.length_B);
+ memcpy(y_.wordv, y->wordv+i, y_.length_B);
+ for(i=0; (x_.wordv[0]&(1<<i))==0 && (y_.wordv[0]&(1<<i))==0; ++i){
+ }
+
+#if DEBUG
+ cli_putstr_P(PSTR("\r\nDBG: initshift = "));
+ cli_hexdump_rev(&i, 2);
+#endif
+ bigint_adjust(&x_);
+ bigint_adjust(&y_);
+
+ if(i){
+ bigint_shiftleft(&g, i);
+#if DEBUG
+ cli_putstr_P(PSTR("\r\nDBG: initshift (2) = "));
+ cli_hexdump_rev(&i, 2);
+ cli_putstr_P(PSTR("\r\n x' = "));
+ bigint_print_hex(&x_);
+ cli_putstr_P(PSTR("\r\n y' = "));
+ bigint_print_hex(&y_);
+#endif
+ bigint_shiftright(&x_, i);
+ bigint_shiftright(&y_, i);
+#if DEBUG
+ cli_putstr_P(PSTR("\r\n x' = "));
+ bigint_print_hex(&x_);
+ cli_putstr_P(PSTR("\r\n y' = "));
+ bigint_print_hex(&y_);
+#endif
+ }
+ u.wordv = u_b;
+ v.wordv = v_b;
+ a_.wordv = a_b;
+ b_.wordv = b_b;
+ c_.wordv = c_b;
+ d_.wordv = d_b;
+
+ bigint_copy(&u, &x_);
+ bigint_copy(&v, &y_);
+ a_.wordv[0] = 1;
+ a_.length_B = 1;
+ a_.info = 0;
+ d_.wordv[0] = 1;
+ d_.length_B = 1;
+ d_.info = 0;
+ bigint_set_zero(&b_);
+ bigint_set_zero(&c_);
+ do{
+#if DEBUG
+ cli_putstr_P(PSTR("\r\n while u%2==0; u = "));
+ bigint_print_hex(&u);
+ cli_putstr_P(PSTR("\r\nDBG: (10) a = "));
+ bigint_print_hex(&a_);
+ cli_putstr_P(PSTR("\r\nDBG: (10) b = "));
+ bigint_print_hex(&b_);
+ cli_putstr_P(PSTR("\r\nDBG: (10) c = "));
+ bigint_print_hex(&c_);
+ cli_putstr_P(PSTR("\r\nDBG: (10) d = "));
+ bigint_print_hex(&d_);
+#endif
+ while((u.wordv[0]&1)==0){
+ bigint_shiftright(&u, 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);
+ }
+#if DEBUG
+ cli_putstr_P(PSTR("\r\n while v%2==0; v = "));
+ bigint_print_hex(&v);
+ cli_putstr_P(PSTR("\r\nDBG: (20) a = "));
+ bigint_print_hex(&a_);
+ cli_putstr_P(PSTR("\r\nDBG: (20) b = "));
+ bigint_print_hex(&b_);
+ cli_putstr_P(PSTR("\r\nDBG: (20) c = "));
+ bigint_print_hex(&c_);
+ cli_putstr_P(PSTR("\r\nDBG: (20) d = "));
+ bigint_print_hex(&d_);
+#endif
+ while((v.wordv[0]&1)==0){
+ bigint_shiftright(&v, 1);
+ if((c_.wordv[0]&1) || (d_.wordv[0]&1)){
+ bigint_add_s(&c_, &c_, &y_);
+ bigint_sub_s(&d_, &d_, &x_);
+ }
+ bigint_shiftright(&c_, 1);
+ bigint_shiftright(&d_, 1);
+
+ }
+#if DEBUG
+ cli_putstr_P(PSTR("\r\n if u>=v ..."));
+ cli_putstr_P(PSTR("\r\nDBG: (30) a = "));
+ bigint_print_hex(&a_);
+ cli_putstr_P(PSTR("\r\nDBG: (30) b = "));
+ bigint_print_hex(&b_);
+ cli_putstr_P(PSTR("\r\nDBG: (30) c = "));
+ bigint_print_hex(&c_);
+ cli_putstr_P(PSTR("\r\nDBG: (30) d = "));
+ bigint_print_hex(&d_);
+#endif
+ if(bigint_cmp_u(&u, &v)>=0){
+ bigint_sub_u(&u, &u, &v);
+ bigint_sub_s(&a_, &a_, &c_);
+ bigint_sub_s(&b_, &b_, &d_);
+ }else{
+ bigint_sub_u(&v, &v, &u);
+ bigint_sub_s(&c_, &c_, &a_);
+ bigint_sub_s(&d_, &d_, &b_);
+ }
+#if DEBUG
+ if(GET_SIGN(&u)){
+ cli_putstr_P(PSTR("\r\nDBG: u negative! u = "));
+ bigint_print_hex(&u);
+ }
+ if(GET_SIGN(&v)){
+ cli_putstr_P(PSTR("\r\nDBG: v negative! v = "));
+ bigint_print_hex(&v);
+ }
+#endif
+/*
+ cli_putstr_P(PSTR("\r\nDBG: (2) a = "));
+ bigint_print_hex(&a_);
+ cli_putstr_P(PSTR("\r\nDBG: (2) b = "));
+ bigint_print_hex(&b_);
+ cli_putstr_P(PSTR("\r\nDBG: (2) c = "));
+ bigint_print_hex(&c_);
+ cli_putstr_P(PSTR("\r\nDBG: (2) d = "));
+ bigint_print_hex(&d_);
+*/
+ }while(u.length_B);
+ if(gcd){
+ bigint_mul_s(gcd, &v, &g);
+ }
+ if(a){
+ bigint_copy(a, &c_);
+ }
+ if(b){
+ bigint_copy(b, &d_);
+ }
+}
+
+/******************************************************************************/
+
+void bigint_inverse(bigint_t* dest, bigint_t* a, bigint_t* m){
+ bigint_gcdext(NULL, dest, NULL, a, m);
+ while(dest->info&BIGINT_NEG_MASK){
+ bigint_add_s(dest, dest, m);
+ }
+}
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
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_reduce(bigint_t* a, const bigint_t* r);
+void bigint_expmod_u(bigint_t* dest, const bigint_t* a, const bigint_t* exp, const bigint_t* r);
+void bigint_gcdext(bigint_t* gcd, bigint_t* a, bigint_t* b, const bigint_t* x, const bigint_t* y);
+void bigint_inverse(bigint_t* dest, bigint_t* a, bigint_t* m);
+
/******************************************************************************/
#endif /*BIGINT_H_*/
*/
#include "cli.h"
+#include "hexdigit_tab.h"
#include "bigint.h"
+#include <avr/pgmspace.h>
#include <stdlib.h>
#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');
}
}
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 #
################################################################################
$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
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)
$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 #
################################################################################
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 #
################################################################################
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)
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])
}
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:"));
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;
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){
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";
{ 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 },
projects / avr-crypto-lib.git / commitdiff