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avr-crypto-lib/ecdsa/nist_p192.c

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/* p192.c */
/*
This file is part of the AVR-Crypto-Lib.
Copyright (C) 2006-2015 Daniel Otte (bg@nerilex.org)
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#include <inttypes.h>
#include <stdlib.h>
#include <string.h>
#include "bigint.h"
#include "ecc.h"
#include "nist_p192.h"
#include <stdio.h>
#include <avr/pgmspace.h>
#include "bigint_io.h"
#define printf_P(...)
#define bigint_print_hex(a)
#undef putchar
#define putchar(a)
/*
* p = 6277101735386680763835789423207666416083908700390324961279
* = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF
*/
uint8_t nist_curve_p192_p_w[] = {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff
};
uint8_t nist_curve_p192_n_w[] = {
0x31, 0x28, 0xd2, 0xb4, 0xb1, 0xc9, 0x6b, 0x14,
0x36, 0xf8, 0xde, 0x99, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff
};
uint8_t nist_curve_p192_b_w[] = {
0xb1, 0xb9, 0x46, 0xc1, 0xec, 0xde, 0xb8, 0xfe,
0x49, 0x30, 0x24, 0x72, 0xab, 0xe9, 0xa7, 0x0f,
0xe7, 0x80, 0x9c, 0xe5, 0x19, 0x05, 0x21, 0x64
};
uint8_t nist_curve_p192_gx_w[] = {
0x12, 0x10, 0xff, 0x82, 0xfd, 0x0a, 0xff, 0xf4,
0x00, 0x88, 0xa1, 0x43, 0xeb, 0x20, 0xbf, 0x7c,
0xf6, 0x90, 0x30, 0xb0, 0x0e, 0xa8, 0x8d, 0x18
};
uint8_t nist_curve_p192_gy_w[] = {
0x11, 0x48, 0x79, 0x1e, 0xa1, 0x77, 0xf9, 0x73,
0xd5, 0xcd, 0x24, 0x6b, 0xed, 0x11, 0x10, 0x63,
0x78, 0xda, 0xc8, 0xff, 0x95, 0x2b, 0x19, 0x07
};
uint8_t nist_curve_p192_z1_w[192 / BIGINT_WORD_SIZE] = {
1, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0 };
uint8_t nist_curve_p192_z2_w[192 / BIGINT_WORD_SIZE] = {
1, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0 };
uint8_t nist_curve_p192_z3_w[192 / BIGINT_WORD_SIZE] = {
1, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0 };
bigint_t nist_curve_p192_p = {
.length_W = 192 / BIGINT_WORD_SIZE,
.wordv = nist_curve_p192_p_w,
.info = 7
};
bigint_t nist_curve_p192_n = {
.length_W = 192 / BIGINT_WORD_SIZE,
.wordv = nist_curve_p192_n_w,
.info = 7
};
bigint_t nist_curve_p192_b = {
.length_W = 192 / BIGINT_WORD_SIZE,
.wordv = nist_curve_p192_b_w,
.info = 6
};
ecc_combi_point_t nist_curve_p192_basepoint = {
.chudnovsky = {
.x = {
.length_W = 192 / BIGINT_WORD_SIZE,
.wordv = nist_curve_p192_gx_w,
.info = 4
},
.y = {
.length_W = 192 / BIGINT_WORD_SIZE,
.wordv = nist_curve_p192_gy_w,
.info = 2
},
.z1 = {
.length_W = 1,
.wordv = nist_curve_p192_z1_w,
.info = 0
},
.z2 = {
.length_W = 1,
.wordv = nist_curve_p192_z2_w,
.info = 0
},
.z3 = {
.length_W = 1,
.wordv = nist_curve_p192_z3_w,
.info = 0
}
}
};
ecc_curve_sp_t nist_curve_p192 = {
.b = &nist_curve_p192_b,
.p = &nist_curve_p192_p,
.n = &nist_curve_p192_n,
.reduce_p = bigint_reduce_p192
};
/*
* A = ( A5 || A4 || A3 || A2 || A1 || A0 ) ; An is 64-bit
* A mod p = B = T + S1 + S2 + S3 mod p
*
* T = ( A2 || A1 || A0 )
* S1 = ( 0 || A3 || A3 )
* S2 = ( A4 || A4 || 0 )
* S3 = ( A5 || A5 || A5 )
*
*/
int bigint_reduce_p192(bigint_t *a){
bigint_word_t s_w[3 * 64 / BIGINT_WORD_SIZE];
bigint_t s;
uint16_t o_length;
if(a->info & BIGINT_NEG_MASK){
printf_P(PSTR("DBG: Line: %d\n"), __LINE__);
/* negative value */
a->info &= ~BIGINT_NEG_MASK;
bigint_reduce_p192(a);
a->info |= BIGINT_NEG_MASK;
bigint_add_s(a, a, &nist_curve_p192_p);
return 0;
}
o_length = a->length_W;
if(o_length < 192 / BIGINT_WORD_SIZE){
return 0;
}
if(o_length > 192 * 2 / BIGINT_WORD_SIZE){
bigint_reduce(a, &nist_curve_p192_p);
}
if(o_length > 192 / BIGINT_WORD_SIZE){
s.wordv = s_w;
s.length_W = 2 * 64 / BIGINT_WORD_SIZE;
s.info = 0;
printf_P(PSTR("DBG: Line: %d\n"), __LINE__);
/*
* copy A3 twice in s
*/
if(o_length >= 4 * 64 / BIGINT_WORD_SIZE){
printf_P(PSTR("DBG: Line: %d\n"), __LINE__);
memcpy(s.wordv, a->wordv + 3 * 64 / BIGINT_WORD_SIZE, 64 / 8);
}else{
printf_P(PSTR("DBG: Line: %d\n"), __LINE__);
memset(s.wordv, 0, 8);
memcpy(s.wordv, a->wordv + 3 * 64 / BIGINT_WORD_SIZE,
o_length * BIGINT_WORD_SIZE / 8 - 3 * 64 / 8);
}
memcpy(s.wordv + 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8);
bigint_adjust(&s);
/*
* Set A3 to zero so we can use a as T
*/
memset(a->wordv + 3 * 64 / BIGINT_WORD_SIZE, 0, sizeof(bigint_word_t));
a->length_W = 3 * 64 / BIGINT_WORD_SIZE;
bigint_adjust(a);
/*
* Add s (alias S1) to a (alias T)
*/
printf_P(PSTR("T: "));
bigint_print_hex(a);
putchar('\n');
printf_P(PSTR("s1: "));
bigint_print_hex(&s);
putchar('\n');
bigint_add_u(a, a, &s);
if(o_length > 4 * 64 / BIGINT_WORD_SIZE){
s.length_W = 2 * 64 / BIGINT_WORD_SIZE;
/*
* copy A4 twice in s
*/
printf_P(PSTR("DBG: Line: %d\n"), __LINE__);
if(o_length >= 5 * 64 / BIGINT_WORD_SIZE){
printf_P(PSTR("DBG: Line: %d\n"), __LINE__);
memcpy(s.wordv, a->wordv + 4 * 64 / BIGINT_WORD_SIZE, 64 / 8);
}else{
printf_P(PSTR("DBG: Line: %d\n"), __LINE__);
memset(s.wordv, 0, 8);
memcpy(s.wordv, a->wordv + 4 * 64 / BIGINT_WORD_SIZE,
o_length * BIGINT_WORD_SIZE / 8 - 4 * 64 / 8);
}
memcpy(s.wordv + 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8);
bigint_adjust(&s);
/*
* Add s (alias S2) to a (alias T + S1)
*/
printf_P(PSTR("s2: "));
bigint_print_hex(&s);
putchar('\n');
bigint_add_scale_u(a, &s, 8);
if(o_length > 5 * 64 / BIGINT_WORD_SIZE){
/*
* copy A5 three times in s
*/
printf_P(PSTR("DBG: Line: %d\n"), __LINE__);
if(o_length == 6 * 64 / BIGINT_WORD_SIZE){
printf_P(PSTR("DBG: Line: %d\n"), __LINE__);
memcpy(s.wordv, a->wordv + 5 * 64 / BIGINT_WORD_SIZE, 64 / 8);
} else {
printf_P(PSTR("DBG: Line: %d\n"), __LINE__);
memset(s.wordv, 0, 8);
memcpy(s.wordv, a->wordv + 5 * 64 / BIGINT_WORD_SIZE,
o_length * BIGINT_WORD_SIZE / 8 - 5 * 64 / 8);
}
memcpy(s.wordv + 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8);
memcpy(s.wordv + 2 * 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8);
s.length_W = 3 * 64 / BIGINT_WORD_SIZE;
bigint_adjust(&s);
/*
* Add s (alias S2) to a (alias T + S1)
*/
printf_P(PSTR("s3: "));
bigint_print_hex(&s);
putchar('\n');
bigint_add_u(a, a, &s);
}
}
}
printf_P(PSTR("pre-result: "));
bigint_print_hex(a);
putchar('\n');
while(bigint_cmp_u(a, &nist_curve_p192_p) >= 0){
printf_P(PSTR("DBG: Line: %d\n"), __LINE__);
bigint_sub_u(a, a, &nist_curve_p192_p);
}
printf_P(PSTR("result: "));
bigint_print_hex(a);
putchar('\n');
return 0;
}
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