400 lines
13 KiB
C
400 lines
13 KiB
C
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#ifndef EC_TESTS_H
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#define EC_TESTS_H
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#include "test_extras.h"
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#include <stdio.h>
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#include <string.h>
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#include <bench.h> //////// NOTE: enable later
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#include "test-basis.h"
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#include "ec_params.h"
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// Global constants
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extern const digit_t p[NWORDS_FIELD];
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// Benchmark and test parameters
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static int BENCH_LOOPS = 1000; // Number of iterations per bench
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static int TEST_LOOPS = 512; // Number of iterations per test
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bool ec_test()
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{ // Tests for ecc arithmetic
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bool OK = true;
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int passed;
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ec_point_t P = {0}, Q = {0}, R = {0}, S = {0}, SS = {0}, PQ = {0};
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ec_point_t AC = {0};
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digit_t k[NWORDS_ORDER] = {0}, l[NWORDS_ORDER] = {0};
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printf("\n--------------------------------------------------------------------------------------------------------\n\n");
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printf("Testing ecc functions: (NOT IMPLEMENTED) \n\n");
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/*
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// Point doubling
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passed = 1;
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P.x.re[0] = 0xDFD70ED0861BD329; P.x.re[1] = 0x20ACD3758C7F5540; P.x.re[2] = 0x3DCCDC007277F80A; P.x.re[3] = 0x18D6D2A22981DCE1;
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P.x.im[0] = 0x3C23730A3F08F38C; P.x.im[1] = 0x98BB973AFD3D954D; P.x.im[2] = 0x8D98ADFC2829AE8A; P.x.im[3] = 0x21A2464D6369AFBA;
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P.z.re[0] = 0x01;
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AC.z.re[0] = 0x01;
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fp2_tomont(&AC.z, &AC.z);
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fp2_tomont(&R.x, &P.x);
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fp2_tomont(&R.z, &P.z);
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xDBL(&S, &R, &AC);
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fp2_copy(&SS.x, &S.x); // Copy of S = SS <- 2P
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fp2_copy(&SS.z, &S.z);
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fp2_inv(&S.z);
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fp2_mul(&S.x, &S.x, &S.z);
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fp2_frommont(&S.x, &S.x);
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R.x.re[0] = 0x5950EE0A4AF90FC8; R.x.re[1] = 0x16488065A0A98B08; R.x.re[2] = 0xCE65322229DA0FD1; R.x.re[3] = 0x270A35FF781EE204;
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R.x.im[0] = 0x564447FD9EC57F6B; R.x.im[1] = 0x2EE24E984294F729; R.x.im[2] = 0x53A6C7360E972C71; R.x.im[3] = 0x4FCF4B9928A7C7E;
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if (compare_words((digit_t*)&R.x, (digit_t*)&S.x, NWORDS_FIELD*2)!=0) { passed=0; goto out0; }
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Q.x.re[0] = 0xC46076A670C70053; Q.x.re[1] = 0x97517AFA3AB9ED13; Q.x.re[2] = 0x349644C942EDF993; Q.x.re[3] = 0xBB4A4DB6F29AF9E;
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Q.x.im[0] = 0x8B47629FB5A15BB0; Q.x.im[1] = 0x4EC6E809953C1A10; Q.x.im[2] = 0x1F83F0EC6CBB84D6; Q.x.im[3] = 0x1D8417C1D33265D3;
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Q.z.re[0] = 0x01;
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PQ.x.re[0] = 0x853F66D11BE5534F; PQ.x.re[1] = 0x27C8FD4E52D03D4A; PQ.x.re[2] = 0xF88EA78D0A0C29D2; PQ.x.re[3] = 0x2F6DFB07D397A067;
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PQ.x.im[0] = 0xE8DBC4AA34434BA1; PQ.x.im[1] = 0x7A73AE182636F8A0; PQ.x.im[2] = 0x419EC260137868EB; PQ.x.im[3] = 0x129B3E301703D43F;
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PQ.z.re[0] = 0x01;
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fp2_tomont(&S.x, &Q.x);
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fp2_tomont(&S.z, &Q.z);
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fp2_tomont(&PQ.x, &PQ.x);
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fp2_tomont(&PQ.z, &PQ.z);
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xADD(&S, &SS, &S, &PQ);
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fp2_inv(&S.z);
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fp2_mul(&S.x, &S.x, &S.z);
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fp2_frommont(&S.x, &S.x);
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R.x.re[0] = 0xED0BEB8F93AB4FF9; R.x.re[1] = 0x27CF508B80CD49BF; R.x.re[2] = 0x38A6134DFA04B2BA; R.x.re[3] = 0x27B4CB15E109EF1F;
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R.x.im[0] = 0x6F731BA6FD227BDE; R.x.im[1] = 0x14C12335341167F8; R.x.im[2] = 0xECA7B60F7866E27A; R.x.im[3] = 0x2A7A79A152880457;
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if (compare_words((digit_t*)&R.x, (digit_t*)&S.x, NWORDS_FIELD*2) != 0) { passed = 0; goto out0; }
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fp2_tomont(&R.x, &P.x);
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fp2_tomont(&R.z, &P.z);
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k[0] = 126;
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xMUL(&S, &R, k, (ec_curve_t*)&AC);
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fp2_inv(&S.z);
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fp2_mul(&S.x, &S.x, &S.z);
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fp2_frommont(&S.x, &S.x);
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R.x.re[0] = 0xDE80F87A1203A147; R.x.re[1] = 0xD59E1215928A3B2D; R.x.re[2] = 0xD5A67F83A5A8CE46; R.x.re[3] = 0xA11E162488C9CDF;
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R.x.im[0] = 0x9417D0D79A26741B; R.x.im[1] = 0x8B1F47D6F0FE5EEC; R.x.im[2] = 0xE52188DCB054CE36; R.x.im[3] = 0x1A8075A6C3148AB3;
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if (compare_words((digit_t*)&R.x, (digit_t*)&S.x, NWORDS_FIELD*2) != 0) { passed = 0; goto out0; }
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fp2_tomont(&R.x, &P.x);
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fp2_tomont(&R.z, &P.z);
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k[0] = 0xE77AD6B6C6B2D8CD;
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k[1] = 0xDE43A0B600F38D12;
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k[2] = 0xA35F4A7897E17CE2;
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k[3] = 0x10ACB62E614D1237;
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xMUL(&S, &R, k, (ec_curve_t*)&AC);
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fp2_inv(&S.z);
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fp2_mul(&S.x, &S.x, &S.z);
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fp2_frommont(&S.x, &S.x);
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R.x.re[0] = 0xD3938B0A68A3E7C0; R.x.re[1] = 0xE0667113208A0595; R.x.re[2] = 0x258F314C84E9CB60; R.x.re[3] = 0x14984BA7CA59AB71;
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R.x.im[0] = 0xFE728423EE3BFEF4; R.x.im[1] = 0xBF68C42FE21AE0E4; R.x.im[2] = 0xA8FAF9C9528609CA; R.x.im[3] = 0x1225EC77A1DC0285;
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if (compare_words((digit_t*)&R.x, (digit_t*)&S.x, NWORDS_FIELD*2) != 0) { passed = 0; goto out0; }
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fp2_tomont(&R.x, &Q.x);
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fp2_tomont(&R.z, &Q.z);
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k[0] = 0xE77AD6B6C6B2D8CD;
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k[1] = 0xDE43A0B600F38D12;
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k[2] = 0xA35F4A7897E17CE2;
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k[3] = 0x10ACB62E614D1237;
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l[0] = 0x34AB78B6C6B2D8C0;
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l[1] = 0xDE6B2D8CD00F38D1;
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l[2] = 0xA35F4A7897E17CE2;
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l[3] = 0x20ACF4A789614D13;
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fp2_inv(&SS.z);
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fp2_mul(&SS.x, &SS.x, &SS.z);
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fp2_copy(&SS.z, &R.z);
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xDBLMUL(&S, &R, k, &SS, l, &PQ, (ec_curve_t*)&AC);
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fp2_inv(&S.z);
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fp2_mul(&S.x, &S.x, &S.z);
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fp2_frommont(&S.x, &S.x);
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R.x.re[0] = 0x554E1ADC609B992F; R.x.re[1] = 0xE407D961F8CC4C42; R.x.re[2] = 0x1CF626AFED5A68CE; R.x.re[3] = 0x6D02692EE110483;
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R.x.im[0] = 0x16FB094E831C8997; R.x.im[1] = 0xFDE4ECF31DC5F702; R.x.im[2] = 0x89303D868DFAD7B4; R.x.im[3] = 0xC91ACE81346F22D;
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if (compare_words((digit_t*)&R.x, (digit_t*)&S.x, NWORDS_FIELD*2) != 0) { passed = 0; goto out0; }
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out0:
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if (passed==1) printf(" ECC arithmetic tests ............................................ PASSED");
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else { printf(" ECC arithmetic tests... FAILED"); printf("\n"); return false; }
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printf("\n");
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*/
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return OK;
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}
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bool dlog_test()
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{ // Tests for dlog
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bool OK = true;
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int passed;
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ec_point_t P = {0}, Q = {0}, R = {0}, S = {0}, SS = {0}, PQ = {0};
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ec_curve_t AC = {0};
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ec_basis_t PQ2;
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digit_t scalarP[NWORDS_ORDER], scalarQ[NWORDS_ORDER], k[NWORDS_ORDER] = {0}, l[NWORDS_ORDER] = {0};
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digit_t kt[NWORDS_ORDER], lt[NWORDS_ORDER], f1[NWORDS_ORDER] = {0}, f2[NWORDS_ORDER] = {0}, zero[NWORDS_ORDER] = {0}, tpFdiv2[NWORDS_ORDER] = {0}, tpF[NWORDS_ORDER] = {0};
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printf("\n--------------------------------------------------------------------------------------------------------\n\n");
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printf("Testing dlog functions: \n\n");
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// dlog2 testing
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passed = 1;
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fp2_tomont(&P.x, &xP2);
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fp_mont_setone(P.z.re);
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fp_set(P.z.im, 0);
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fp2_tomont(&Q.x, &xQ2);
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fp_mont_setone(Q.z.re);
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fp_set(Q.z.im, 0);
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fp2_tomont(&PQ.x, &xPQ2);
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fp_mont_setone(PQ.z.re);
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fp_set(PQ.z.im, 0);
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AC.C.re[0] = 0x01;
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fp_copy(f1, TWOpFm1);
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fp_copy(f2, TWOpF);
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fp2_tomont(&AC.C, &AC.C);
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copy_point(&PQ2.P, &P);
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copy_point(&PQ2.Q, &Q);
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copy_point(&PQ2.PmQ, &PQ);
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k[0] = 0xFFFFFFFFFFFFFFFF;
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k[1] = 0x00000000000007FF;
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l[0] = 0xFFFFFFFFFFFFFFFE;
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l[1] = 0x00000000000007FF;
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for (int n = 0; n < TEST_LOOPS; n++)
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{
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k[0] -= 1;
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l[0] -= 2;
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xDBLMUL(&R, &P, k, &Q, l, &PQ, &AC);
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ec_dlog_2(scalarP, scalarQ, &PQ2, &R, &AC);
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memcpy(kt, k, NWORDS_ORDER*RADIX/8);
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memcpy(lt, l, NWORDS_ORDER*RADIX/8);
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if (compare_words(k, f1, NWORDS_ORDER) == 1 ||
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(compare_words(l, f1, NWORDS_ORDER) == 1 && (compare_words(k, zero, NWORDS_ORDER) == 0 || compare_words(k, f1, NWORDS_ORDER) == 0))) {
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if (compare_words(k, zero, NWORDS_ORDER) != 0) {
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sub_test(kt, f2, kt, NWORDS_ORDER);
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}
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if (compare_words(l, zero, NWORDS_ORDER) != 0) {
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sub_test(lt, f2, lt, NWORDS_ORDER);
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}
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}
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if (compare_words((digit_t*)scalarP, (digit_t*)kt, NWORDS_ORDER) != 0 || compare_words((digit_t*)scalarQ, (digit_t*)lt, NWORDS_ORDER) != 0) { passed = 0; break; }
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}
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if (passed == 1) printf(" dlog2 tests ..................................................... PASSED");
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else { printf(" dlog2 tests... FAILED"); printf("\n"); return false; }
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printf("\n");
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// dlog3 testing
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passed = 1;
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fp2_tomont(&P.x, &xP3);
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fp_mont_setone(P.z.re);
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fp_set(P.z.im, 0);
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fp2_tomont(&Q.x, &xQ3);
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fp_mont_setone(Q.z.re);
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fp_set(Q.z.im, 0);
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fp2_tomont(&PQ.x, &xPQ3);
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fp_mont_setone(PQ.z.re);
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fp_set(PQ.z.im, 0);
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AC.C.re[0] = 0x01;
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fp_copy(tpFdiv2, THREEpFdiv2);
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fp_copy(tpF, THREEpF);
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fp2_tomont(&AC.C, &AC.C);
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copy_point(&PQ2.P, &P);
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copy_point(&PQ2.Q, &Q);
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copy_point(&PQ2.PmQ, &PQ);
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k[1] = 0;
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l[1] = 0;
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k[0] = 0x02153E468B91C6D1;
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l[0] = 0x02153E468B91C6D0;
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for (int n = 0; n < TEST_LOOPS; n++)
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{
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k[0] -= 1;
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l[0] -= 2;
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xDBLMUL(&R, &P, k, &Q, l, &PQ, &AC);
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ec_dlog_3(scalarP, scalarQ, &PQ2, &R, &AC);
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memcpy(kt, k, NWORDS_ORDER*RADIX/8);
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memcpy(lt, l, NWORDS_ORDER*RADIX/8);
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if (compare_words(k, tpFdiv2, NWORDS_ORDER) == 1 ||
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(compare_words(l, tpFdiv2, NWORDS_ORDER) == 1 && compare_words(k, zero, NWORDS_ORDER) == 0)) {
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if (compare_words(k, zero, NWORDS_ORDER) != 0) {
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sub_test(kt, tpF, kt, NWORDS_ORDER);
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}
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if (compare_words(l, zero, NWORDS_ORDER) != 0) {
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sub_test(lt, tpF, lt, NWORDS_ORDER);
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}
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}
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if (compare_words((digit_t*)scalarP, (digit_t*)kt, NWORDS_ORDER) != 0 || compare_words((digit_t*)scalarQ, (digit_t*)lt, NWORDS_ORDER) != 0) { passed = 0; break; }
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}
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if (passed == 1) printf(" dlog3 tests ..................................................... PASSED");
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else { printf(" dlog3 tests... FAILED"); printf("\n"); return false; }
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printf("\n");
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return OK;
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}
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bool ec_run()
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{
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bool OK = true;
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int n;
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unsigned long long cycles, cycles1, cycles2;
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ec_point_t P, Q, R, PQ, AC;
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digit_t k[NWORDS_ORDER], l[NWORDS_ORDER];
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printf("\n--------------------------------------------------------------------------------------------------------\n\n");
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printf("Benchmarking ecc arithmetic: \n\n");
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// Point doubling
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cycles = 0;
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for (n=0; n<BENCH_LOOPS; n++)
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{
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cycles1 = cpucycles();
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xDBL(&Q, &P, &AC);
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cycles2 = cpucycles();
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|
cycles = cycles+(cycles2-cycles1);
|
||
|
|
}
|
||
|
|
printf(" Montgomery x-only doubling runs in .............................. %7lld cycles", cycles/BENCH_LOOPS);
|
||
|
|
printf("\n");
|
||
|
|
|
||
|
|
// Point addition
|
||
|
|
cycles = 0;
|
||
|
|
for (n = 0; n < BENCH_LOOPS; n++)
|
||
|
|
{
|
||
|
|
cycles1 = cpucycles();
|
||
|
|
xADD(&R, &Q, &P, &PQ);
|
||
|
|
cycles2 = cpucycles();
|
||
|
|
cycles = cycles + (cycles2 - cycles1);
|
||
|
|
}
|
||
|
|
printf(" Montgomery x-only addition runs in .............................. %7lld cycles", cycles/BENCH_LOOPS);
|
||
|
|
printf("\n");
|
||
|
|
|
||
|
|
// Point multiplication
|
||
|
|
cycles = 0;
|
||
|
|
for (n = 0; n < BENCH_LOOPS; n++)
|
||
|
|
{
|
||
|
|
cycles1 = cpucycles();
|
||
|
|
xMUL(&Q, &P, k, (ec_curve_t*)&AC);
|
||
|
|
cycles2 = cpucycles();
|
||
|
|
cycles = cycles + (cycles2 - cycles1);
|
||
|
|
}
|
||
|
|
printf(" Montgomery x-only scalar multiplication runs in ................. %7lld cycles", cycles/BENCH_LOOPS);
|
||
|
|
printf("\n");
|
||
|
|
|
||
|
|
// Point multiplication
|
||
|
|
cycles = 0;
|
||
|
|
for (n = 0; n < BENCH_LOOPS; n++)
|
||
|
|
{
|
||
|
|
cycles1 = cpucycles();
|
||
|
|
xDBLMUL(&R, &P, k, &Q, l, &PQ, (ec_curve_t*)&AC);
|
||
|
|
cycles2 = cpucycles();
|
||
|
|
cycles = cycles + (cycles2 - cycles1);
|
||
|
|
}
|
||
|
|
printf(" Montgomery x-only double-scalar multiplication runs in .......... %7lld cycles", cycles/BENCH_LOOPS);
|
||
|
|
printf("\n");
|
||
|
|
|
||
|
|
return OK;
|
||
|
|
}
|
||
|
|
|
||
|
|
bool dlog_run()
|
||
|
|
{
|
||
|
|
bool OK = true;
|
||
|
|
int n;
|
||
|
|
unsigned long long cycles, cycles1, cycles2;
|
||
|
|
ec_point_t P = {0}, Q = {0}, R = {0}, S = {0}, SS = {0}, PQ = {0};
|
||
|
|
ec_curve_t AC = {0};
|
||
|
|
ec_basis_t PQ2;
|
||
|
|
digit_t scalarP[NWORDS_ORDER], scalarQ[NWORDS_ORDER], k[NWORDS_ORDER] = {0}, l[NWORDS_ORDER] = {0};
|
||
|
|
|
||
|
|
printf("\n--------------------------------------------------------------------------------------------------------\n\n");
|
||
|
|
printf("Benchmarking dlog2: \n\n");
|
||
|
|
|
||
|
|
// dlog2 computation
|
||
|
|
|
||
|
|
fp2_tomont(&P.x, &xP2);
|
||
|
|
fp_mont_setone(P.z.re);
|
||
|
|
fp_set(P.z.im, 0);
|
||
|
|
|
||
|
|
fp2_tomont(&Q.x, &xQ2);
|
||
|
|
fp_mont_setone(Q.z.re);
|
||
|
|
fp_set(Q.z.im, 0);
|
||
|
|
|
||
|
|
fp2_tomont(&PQ.x, &xPQ2);
|
||
|
|
fp_mont_setone(PQ.z.re);
|
||
|
|
fp_set(PQ.z.im, 0);
|
||
|
|
|
||
|
|
AC.C.re[0] = 0x01;
|
||
|
|
fp2_tomont(&AC.C, &AC.C);
|
||
|
|
|
||
|
|
copy_point(&PQ2.P, &P);
|
||
|
|
copy_point(&PQ2.Q, &Q);
|
||
|
|
copy_point(&PQ2.PmQ, &PQ);
|
||
|
|
|
||
|
|
cycles = 0;
|
||
|
|
for (n = 0; n < BENCH_LOOPS; n++)
|
||
|
|
{
|
||
|
|
fprandom_test(k); fprandom_test(l);
|
||
|
|
xDBLMUL(&R, &P, k, &Q, l, &PQ, &AC);
|
||
|
|
cycles1 = cpucycles();
|
||
|
|
ec_dlog_2(scalarP, scalarQ, &PQ2, &R, &AC);
|
||
|
|
cycles2 = cpucycles();
|
||
|
|
cycles = cycles + (cycles2 - cycles1);
|
||
|
|
}
|
||
|
|
printf(" dlog2 runs in ................................................... %7lld cycles", cycles/BENCH_LOOPS);
|
||
|
|
printf("\n");
|
||
|
|
|
||
|
|
// dlog3 computation
|
||
|
|
|
||
|
|
fp2_tomont(&P.x, &xP3);
|
||
|
|
fp_mont_setone(P.z.re);
|
||
|
|
fp_set(P.z.im, 0);
|
||
|
|
|
||
|
|
fp2_tomont(&Q.x, &xQ3);
|
||
|
|
fp_mont_setone(Q.z.re);
|
||
|
|
fp_set(Q.z.im, 0);
|
||
|
|
|
||
|
|
fp2_tomont(&PQ.x, &xPQ3);
|
||
|
|
fp_mont_setone(PQ.z.re);
|
||
|
|
fp_set(PQ.z.im, 0);
|
||
|
|
|
||
|
|
copy_point(&PQ2.P, &P);
|
||
|
|
copy_point(&PQ2.Q, &Q);
|
||
|
|
copy_point(&PQ2.PmQ, &PQ);
|
||
|
|
|
||
|
|
cycles = 0;
|
||
|
|
for (n = 0; n < BENCH_LOOPS; n++)
|
||
|
|
{
|
||
|
|
fprandom_test(k); fprandom_test(l);
|
||
|
|
xDBLMUL(&R, &P, k, &Q, l, &PQ, &AC);
|
||
|
|
cycles1 = cpucycles();
|
||
|
|
ec_dlog_3(scalarP, scalarQ, &PQ2, &R, &AC);
|
||
|
|
cycles2 = cpucycles();
|
||
|
|
cycles = cycles + (cycles2 - cycles1);
|
||
|
|
}
|
||
|
|
printf(" dlog3 runs in ................................................... %7lld cycles", cycles/BENCH_LOOPS);
|
||
|
|
printf("\n");
|
||
|
|
|
||
|
|
return OK;
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif
|