nist P-192 optimized recude for ecdsa
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7edc452f93
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/* p192.c */
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/*
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This file is part of the AVR-Crypto-Lib.
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Copyright (C) 2006-2012 Daniel Otte (daniel.otte@rub.de)
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include <inttypes.h>
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#include <stdlib.h>
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#include <string.h>
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#include "bigint.h"
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/*
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* p = 6277101735386680763835789423207666416083908700390324961279
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* = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF
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*/
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static
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uint8_t nist_curve_p192_p_w[] = {
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff
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};
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bigint_t nist_curve_p192_p = {
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.length_W = 192 / BIGINT_WORD_SIZE,
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.wordv = nist_curve_p192_p_w,
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.info = 7
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};
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/*
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* A = ( A5 || A4 || A3 || A2 || A1 || A0 ) ; An if 64-bit
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* A mod p = B = T + S1 + S2 + S3 mod p
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*
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* T = ( A2 || A1 || A0 )
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* S1 = ( A3 || A3 )
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* S2 = ( A4 || A4 || 0 )
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* S3 = ( A5 || A5 || A5 )
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*
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*/
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int bigint_reduce_p192(bigint_t *a){
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bigint_word_t s_w[3 * 64 / BIGINT_WORD_SIZE];
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bigint_t s;
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uint16_t o_length;
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o_length = a->length_W;
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if(o_length < 192 / BIGINT_WORD_SIZE){
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return 0;
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}
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if(o_length > 192 * 2 / BIGINT_WORD_SIZE){
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bigint_reduce(a, &nist_curve_p192_p);
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}
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if(o_length > 192 / BIGINT_WORD_SIZE){
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s.wordv = s_w;
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s.length_W = 2 * 64 / BIGINT_WORD_SIZE;
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/*
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* copy A3 twice in s
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*/
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if(o_length >= 4 * 64 / BIGINT_WORD_SIZE){
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memcpy(s.wordv, a->wordv + 3 * 64 / BIGINT_WORD_SIZE, 64 / 8);
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}else{
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memset(s.wordv, 0, 8);
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memcpy(s.wordv, a->wordv + 3 * 64 / BIGINT_WORD_SIZE,
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o_length * BIGINT_WORD_SIZE / 8 - 3 * 64 / 8);
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}
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memcpy(s.wordv + 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8);
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bigint_adjust(&s);
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/*
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* Set A3 to zero so we can use a as T
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*/
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memset(a->wordv + 3 * 64 / BIGINT_WORD_SIZE, 0, BIGINT_WORD_SIZE / 8);
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a->length_W = 3 * 64 / BIGINT_WORD_SIZE;
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bigint_adjust(a);
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/*
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* Add s (alias S1) to a (alias T)
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*/
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bigint_add_u(a, a, &s);
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if(o_length > 4 * 64 / BIGINT_WORD_SIZE){
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/*
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* copy A4 twice in s
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*/
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if(o_length >= 5 * 64 / BIGINT_WORD_SIZE){
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memcpy(s.wordv, a->wordv + 4 * 64 / BIGINT_WORD_SIZE, 64 / 8);
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}else{
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memset(s.wordv, 0, 8);
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memcpy(s.wordv, a->wordv + 4 * 64 / BIGINT_WORD_SIZE,
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o_length * BIGINT_WORD_SIZE / 8 - 4 * 64 / 8);
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}
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memcpy(s.wordv + 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8);
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bigint_adjust(&s);
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/*
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* Add s (alias S2) to a (alias T + S1)
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*/
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bigint_add_scale_u(a, &s, 8);
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if(o_length > 5 * 64 / BIGINT_WORD_SIZE){
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/*
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* copy A5 three times in s
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*/
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if(o_length == 6 * 64 / BIGINT_WORD_SIZE){
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memcpy(s.wordv, a->wordv + 5 * 64 / BIGINT_WORD_SIZE, 64 / 8);
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} else {
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memset(s.wordv, 0, 8);
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memcpy(s.wordv, a->wordv + 5 * 64 / BIGINT_WORD_SIZE,
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o_length * BIGINT_WORD_SIZE / 8 - 5 * 64 / 8);
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}
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memcpy(s.wordv + 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8);
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memcpy(s.wordv + 2 * 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8);
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s.length_W = 3 * 64 / BIGINT_WORD_SIZE;
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bigint_adjust(&s);
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/*
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* Add s (alias S2) to a (alias T + S1)
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*/
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bigint_add_u(a, a, &s);
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}
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}
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}
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while(bigint_cmp_u(a, &nist_curve_p192_p) >= 0){
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bigint_sub_u(a, a, &nist_curve_p192_p);
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}
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return 0;
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}
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/* nist_p192.h */
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/*
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This file is part of the AVR-Crypto-Lib.
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Copyright (C) 2012 Daniel Otte (daniel.otte@rub.de)
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef NIST_P192_H_
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#define NIST_P192_H_
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#include "bigint.h"
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extern bigint_t nist_curve_p192_p;
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int bigint_reduce_p192(bigint_t *a);
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#endif /* NIST_P192_H_ */
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# Makefile for ECDSA
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ALGO_NAME := ECDSA
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# comment out the following line for removement of ECDSA from the build process
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SIGNATURE += $(ALGO_NAME)
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$(ALGO_NAME)_DIR := ecdsa/
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$(ALGO_NAME)_INCDIR := memxor/ bigint/ sha1/ noekeon/ base64/ hfal/
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$(ALGO_NAME)_OBJ := bigint.o bigint_io.o sha1-asm.o nist_p192.o base64_enc.o
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$(ALGO_NAME)_TESTBIN := main-ecdsa-test.o $(CLI_STD) hfal_sha1.o $(HFAL_STD) \
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noekeon_asm.o noekeon_prng.o memxor.o
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$(ALGO_NAME)_PERFORMANCE_TEST := performance
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/* main-dsa-test.c */
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/*
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This file is part of the AVR-Crypto-Lib.
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Copyright (C) 2010 Daniel Otte (daniel.otte@rub.de)
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program. If not, see <http://www.gnu.org/licenses/>.
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*/
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/*
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* ECDSA test-suit
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*
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*/
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#include "main-test-common.h"
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#include "noekeon.h"
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#include "noekeon_prng.h"
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#include "bigint.h"
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#include "bigint_io.h"
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#include "nist_p192.h"
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#include "performance_test.h"
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#include "hfal_sha1.h"
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#include "base64_enc.h"
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#include "base64_dec.h"
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char* algo_name = "ECDSA";
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/*****************************************************************************
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* additional validation-functions *
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*****************************************************************************/
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void testrun_performance_bigint(void){
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printf_P(PSTR("\n=== performance measurement ===\n"));
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unsigned i, j;
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bigint_t a,b,v;
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bigint_word_t v_w[192 * 2 / BIGINT_WORD_SIZE];
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bigint_word_t a_w[192 * 2 / BIGINT_WORD_SIZE];
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bigint_word_t b_w[192 * 2 / BIGINT_WORD_SIZE];
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uint32_t time_a, time_b;
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int32_t time_diff;
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int16_t faster_percent;
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v.wordv = v_w;
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for(j = 0; j < 32; ++j){
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do{
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for(i = 0; i < 192 * 2 / BIGINT_WORD_SIZE; ++i){
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((uint8_t*)v_w)[i] = random();
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}
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v.length_W = 192 * 2 / BIGINT_WORD_SIZE;
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v.info = 0;
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bigint_adjust(&v);
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}while(0);
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// printf_P(PSTR("candidate:\n"));
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// bigint_print_hex(&v);
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a.wordv = a_w;
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b.wordv = b_w;
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calibrateTimer();
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// printf_P(PSTR("\n going to test optimized version: ...\n"));
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uart0_flush();
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time_a = 0;
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for(i = 0; i < 16; ++i){
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bigint_copy(&a, &v);
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startTimer(1);
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START_TIMER;
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bigint_reduce_p192(&a);
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STOP_TIMER;
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time_a += stopTimer();
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}
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// printf_P(PSTR(" took: %"PRIu32" cycles\nresult:"), time);
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// bigint_print_hex(&a);
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// printf_P(PSTR("\n going to test not-optimized version: ...\n"));
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// uart0_flush();
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time_b = 0;
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for(i = 0; i < 16; ++i){
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bigint_copy(&b, &v);
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startTimer(1);
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START_TIMER;
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bigint_reduce(&b, &nist_curve_p192_p);
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STOP_TIMER;
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time_b += stopTimer();
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}
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// printf_P(PSTR(" took: %"PRIu32" cycles\nresult:"), time);
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// bigint_print_hex(&b);
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time_diff = time_b - time_a;
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faster_percent = (time_diff * 100) / time_b;
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printf_P(PSTR(" delta: %7"PRId32" (%3"PRId16"%%) :-"), time_diff, faster_percent);
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if(bigint_cmp_u(&a, &b)){
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printf_P(PSTR("(\n"));
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} else {
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printf_P(PSTR(")\n"));
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}
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uart0_flush();
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}
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}
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/*****************************************************************************
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* main *
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*****************************************************************************/
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const char echo_test_str[] PROGMEM = "echo-test";
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const char reset_prng_str[] PROGMEM = "reset-prng";
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const char quick_test_str[] PROGMEM = "quick-test";
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const char performance_str[] PROGMEM = "performance";
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const char echo_str[] PROGMEM = "echo";
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const const cmdlist_entry_t cmdlist[] PROGMEM = {
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// { reset_prng_str, NULL, reset_prng },
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// { quick_test_str, NULL, quick_test },
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{ performance_str, NULL, testrun_performance_bigint },
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{ echo_str, (void*)1, (void_fpt)echo_ctrl },
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{ NULL, NULL, NULL }
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};
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int main (void){
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int8_t r;
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main_setup();
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for(;;){
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welcome_msg(algo_name);
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r = cmd_interface(cmdlist);
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printf("r = %"PRId8"\n", r);
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cli_putstr_P(PSTR("\r\nHello!\r\n"));
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}
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}
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