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-rw-r--r--tests/test_ecc.cpp845
1 files changed, 845 insertions, 0 deletions
diff --git a/tests/test_ecc.cpp b/tests/test_ecc.cpp
new file mode 100644
index 000000000..d61c685c9
--- /dev/null
+++ b/tests/test_ecc.cpp
@@ -0,0 +1,845 @@
+/*
+* (C) 2009 Jack Lloyd
+*
+* Distributed under the terms of the Botan license
+*/
+
+#include "tests.h"
+
+#include "getopt.h"
+#include "common.h"
+
+#include <botan/hex.h>
+#include <botan/auto_rng.h>
+#include <botan/bigint.h>
+#include <botan/numthry.h>
+#include <botan/curve_gfp.h>
+#include <botan/point_gfp.h>
+#include <botan/ec_group.h>
+#include <botan/reducer.h>
+#include <botan/oids.h>
+#include <iostream>
+#include <memory>
+
+using namespace Botan;
+
+#define CHECK_MESSAGE(expr, print) try { if(!(expr)) { ++fails; std::cout << print << "\n"; }} catch(std::exception& e) { std::cout << __FUNCTION__ << ": " << e.what() << "\n"; }
+#define CHECK(expr) try { if(!(expr)) { ++fails; std::cout << #expr << "\n"; } } catch(std::exception& e) { std::cout << __FUNCTION__ << ": " << e.what() << "\n"; }
+
+namespace {
+
+std::ostream& operator<<(std::ostream& out, const PointGFp& point)
+ {
+ out << "(" << point.get_affine_x() << " " << point.get_affine_y() << ")";
+ return out;
+ }
+
+PointGFp create_random_point(RandomNumberGenerator& rng,
+ const CurveGFp& curve)
+ {
+ const BigInt& p = curve.get_p();
+
+ Modular_Reducer mod_p(p);
+
+ while(true)
+ {
+ BigInt x(rng, p.bits());
+
+ BigInt x3 = mod_p.multiply(x, mod_p.square(x));
+
+ BigInt ax = mod_p.multiply(curve.get_a(), x);
+
+ BigInt bx3 = mod_p.multiply(curve.get_b(), x3);
+
+ BigInt y = mod_p.reduce(ax + bx3);
+
+ if(ressol(y, p) > 0)
+ return PointGFp(curve, x, y);
+ }
+ }
+
+size_t test_point_turn_on_sp_red_mul()
+ {
+ size_t fails = 0;
+
+ // setting up expected values
+ BigInt exp_Qx(std::string("466448783855397898016055842232266600516272889280"));
+ BigInt exp_Qy(std::string("1110706324081757720403272427311003102474457754220"));
+ BigInt exp_Qz(1);
+
+ // performing calculation to test
+ std::string p_secp = "ffffffffffffffffffffffffffffffff7fffffff";
+ std::string a_secp = "ffffffffffffffffffffffffffffffff7ffffffc";
+ std::string b_secp = "1c97befc54bd7a8b65acf89f81d4d4adc565fa45";
+ std::string G_secp_comp = "024a96b5688ef573284664698968c38bb913cbfc82";
+ std::vector<byte> sv_p_secp = hex_decode(p_secp);
+ std::vector<byte> sv_a_secp = hex_decode(a_secp);
+ std::vector<byte> sv_b_secp = hex_decode(b_secp);
+ std::vector<byte> sv_G_secp_comp = hex_decode(G_secp_comp);
+ BigInt bi_p_secp = BigInt::decode(&sv_p_secp[0], sv_p_secp.size());
+ BigInt bi_a_secp = BigInt::decode(&sv_a_secp[0], sv_a_secp.size());
+ BigInt bi_b_secp = BigInt::decode(&sv_b_secp[0], sv_b_secp.size());
+ CurveGFp secp160r1(bi_p_secp, bi_a_secp, bi_b_secp);
+ PointGFp p_G = OS2ECP(sv_G_secp_comp, secp160r1);
+
+ BigInt d("459183204582304");
+
+ PointGFp r1 = d * p_G;
+ CHECK(r1.get_affine_x() != 0);
+
+ PointGFp p_G2(p_G);
+
+ PointGFp r2 = d * p_G2;
+ CHECK_MESSAGE(r1 == r2, "error with point mul after extra turn on sp red mul");
+ CHECK(r1.get_affine_x() != 0);
+
+ PointGFp p_r1 = r1;
+ PointGFp p_r2 = r2;
+
+ p_r1 *= 2;
+ p_r2 *= 2;
+ CHECK_MESSAGE(p_r1.get_affine_x() == p_r2.get_affine_x(), "error with mult2 after extra turn on sp red mul");
+ CHECK(p_r1.get_affine_x() != 0);
+ CHECK(p_r2.get_affine_x() != 0);
+ r1 *= 2;
+
+ r2 *= 2;
+
+ CHECK_MESSAGE(r1 == r2, "error with mult2 after extra turn on sp red mul");
+ CHECK_MESSAGE(r1.get_affine_x() == r2.get_affine_x(), "error with mult2 after extra turn on sp red mul");
+ CHECK(r1.get_affine_x() != 0);
+ r1 += p_G;
+ r2 += p_G2;
+
+ CHECK_MESSAGE(r1 == r2, "error with op+= after extra turn on sp red mul");
+
+ r1 += p_G;
+ r2 += p_G2;
+
+ CHECK_MESSAGE(r1 == r2, "error with op+= after extra turn on sp red mul for both operands");
+ r1 += p_G;
+ r2 += p_G2;
+
+ CHECK_MESSAGE(r1 == r2, "error with op+= after extra turn on sp red mul for both operands");
+ return fails;
+ }
+
+size_t test_coordinates()
+ {
+ size_t fails = 0;
+
+ BigInt exp_affine_x(std::string("16984103820118642236896513183038186009872590470"));
+ BigInt exp_affine_y(std::string("1373093393927139016463695321221277758035357890939"));
+
+ // precalculation
+ std::string p_secp = "ffffffffffffffffffffffffffffffff7fffffff";
+ std::string a_secp = "ffffffffffffffffffffffffffffffff7ffffffc";
+ std::string b_secp = "1c97befc54bd7a8b65acf89f81d4d4adc565fa45";
+ std::string G_secp_comp = "024a96b5688ef573284664698968c38bb913cbfc82";
+ std::vector<byte> sv_p_secp = hex_decode ( p_secp );
+ std::vector<byte> sv_a_secp = hex_decode ( a_secp );
+ std::vector<byte> sv_b_secp = hex_decode ( b_secp );
+ std::vector<byte> sv_G_secp_comp = hex_decode ( G_secp_comp );
+
+ BigInt bi_p_secp = BigInt::decode ( &sv_p_secp[0], sv_p_secp.size() );
+ BigInt bi_a_secp = BigInt::decode ( &sv_a_secp[0], sv_a_secp.size() );
+ BigInt bi_b_secp = BigInt::decode ( &sv_b_secp[0], sv_b_secp.size() );
+ CurveGFp secp160r1 (bi_p_secp, bi_a_secp, bi_b_secp);
+ PointGFp p_G = OS2ECP ( sv_G_secp_comp, secp160r1 );
+ PointGFp p0 = p_G;
+ PointGFp p1 = p_G * 2;
+ PointGFp point_exp(secp160r1, exp_affine_x, exp_affine_y);
+ if(!point_exp.on_the_curve())
+ throw Internal_Error("Point not on the curve");
+
+ CHECK_MESSAGE( p1.get_affine_x() == exp_affine_x, " p1_x = " << p1.get_affine_x() << "\n" << "exp_x = " << exp_affine_x << "\n");
+ CHECK_MESSAGE( p1.get_affine_y() == exp_affine_y, " p1_y = " << p1.get_affine_y() << "\n" << "exp_y = " << exp_affine_y << "\n");
+ return fails;
+ }
+
+
+/**
+Test point multiplication according to
+--------
+SEC 2: Test Vectors for SEC 1
+Certicom Research
+Working Draft
+September, 1999
+Version 0.3;
+Section 2.1.2
+--------
+*/
+
+size_t test_point_transformation ()
+ {
+ size_t fails = 0;
+
+ // get a vailid point
+ EC_Group dom_pars(OID("1.3.132.0.8"));
+ PointGFp p = dom_pars.get_base_point();
+
+ // get a copy
+ PointGFp q = p;
+
+ CHECK_MESSAGE( p.get_affine_x() == q.get_affine_x(), "affine_x changed during copy");
+ CHECK_MESSAGE( p.get_affine_y() == q.get_affine_y(), "affine_y changed during copy");
+ return fails;
+ }
+
+size_t test_point_mult ()
+ {
+ size_t fails = 0;
+
+ EC_Group secp160r1(OIDS::lookup("secp160r1"));
+
+ const CurveGFp& curve = secp160r1.get_curve();
+
+ std::string G_secp_comp = "024a96b5688ef573284664698968c38bb913cbfc82";
+ std::vector<byte> sv_G_secp_comp = hex_decode(G_secp_comp);
+ PointGFp p_G = OS2ECP(sv_G_secp_comp, curve);
+
+ BigInt d_U("0xaa374ffc3ce144e6b073307972cb6d57b2a4e982");
+ PointGFp Q_U = d_U * p_G;
+
+ CHECK(Q_U.get_affine_x() == BigInt("466448783855397898016055842232266600516272889280"));
+ CHECK(Q_U.get_affine_y() == BigInt("1110706324081757720403272427311003102474457754220"));
+ return fails;
+ }
+
+size_t test_point_negative()
+ {
+ size_t fails = 0;
+
+ // performing calculation to test
+ std::string p_secp = "ffffffffffffffffffffffffffffffff7fffffff";
+ std::string a_secp = "ffffffffffffffffffffffffffffffff7ffffffc";
+ std::string b_secp = "1c97befc54bd7a8b65acf89f81d4d4adc565fa45";
+ std::string G_secp_comp = "024a96b5688ef573284664698968c38bb913cbfc82";
+ std::vector<byte> sv_p_secp = hex_decode ( p_secp );
+ std::vector<byte> sv_a_secp = hex_decode ( a_secp );
+ std::vector<byte> sv_b_secp = hex_decode ( b_secp );
+ std::vector<byte> sv_G_secp_comp = hex_decode ( G_secp_comp );
+ BigInt bi_p_secp = BigInt::decode ( &sv_p_secp[0], sv_p_secp.size() );
+ BigInt bi_a_secp = BigInt::decode ( &sv_a_secp[0], sv_a_secp.size() );
+ BigInt bi_b_secp = BigInt::decode ( &sv_b_secp[0], sv_b_secp.size() );
+ CurveGFp secp160r1(bi_p_secp, bi_a_secp, bi_b_secp);
+ PointGFp p_G = OS2ECP ( sv_G_secp_comp, secp160r1 );
+
+ PointGFp p1 = p_G *= 2;
+
+ CHECK(p1.get_affine_x() == BigInt("16984103820118642236896513183038186009872590470"));
+ CHECK(p1.get_affine_y() == BigInt("1373093393927139016463695321221277758035357890939"));
+
+ PointGFp p1_neg = p1.negate();
+
+ CHECK(p1_neg.get_affine_x() == BigInt("16984103820118642236896513183038186009872590470"));
+ CHECK(p1_neg.get_affine_y() == BigInt("88408243403763901739989511495005261618427168388"));
+ return fails;
+ }
+
+size_t test_zeropoint()
+ {
+ size_t fails = 0;
+
+ std::string G_secp_comp = "024a96b5688ef573284664698968c38bb913cbfc82";
+ std::vector<byte> sv_G_secp_comp = hex_decode ( G_secp_comp );
+ BigInt bi_p_secp("0xffffffffffffffffffffffffffffffff7fffffff");
+ BigInt bi_a_secp("0xffffffffffffffffffffffffffffffff7ffffffc");
+ BigInt bi_b_secp("0x1c97befc54bd7a8b65acf89f81d4d4adc565fa45");
+ CurveGFp secp160r1(bi_p_secp, bi_a_secp, bi_b_secp);
+
+ PointGFp p1(secp160r1,
+ BigInt("16984103820118642236896513183038186009872590470"),
+ BigInt("1373093393927139016463695321221277758035357890939"));
+
+ if(!p1.on_the_curve())
+ throw Internal_Error("Point not on the curve");
+ p1 -= p1;
+
+ CHECK_MESSAGE( p1.is_zero(), "p - q with q = p is not zero!");
+ return fails;
+ }
+
+size_t test_zeropoint_enc_dec()
+ {
+ size_t fails = 0;
+
+ BigInt bi_p_secp("0xffffffffffffffffffffffffffffffff7fffffff");
+ BigInt bi_a_secp("0xffffffffffffffffffffffffffffffff7ffffffc");
+ BigInt bi_b_secp("0x1c97befc54bd7a8b65acf89f81d4d4adc565fa45");
+ CurveGFp curve(bi_p_secp, bi_a_secp, bi_b_secp);
+
+ PointGFp p(curve);
+ CHECK_MESSAGE( p.is_zero(), "by constructor created zeropoint is no zeropoint!");
+
+
+ std::vector<byte> sv_p = unlock(EC2OSP(p, PointGFp::UNCOMPRESSED));
+ PointGFp p_encdec = OS2ECP(sv_p, curve);
+ CHECK_MESSAGE( p == p_encdec, "encoded-decoded (uncompressed) point is not equal the original!");
+
+ sv_p = unlock(EC2OSP(p, PointGFp::UNCOMPRESSED));
+ p_encdec = OS2ECP(sv_p, curve);
+ CHECK_MESSAGE( p == p_encdec, "encoded-decoded (compressed) point is not equal the original!");
+
+ sv_p = unlock(EC2OSP(p, PointGFp::HYBRID));
+ p_encdec = OS2ECP(sv_p, curve);
+ CHECK_MESSAGE( p == p_encdec, "encoded-decoded (hybrid) point is not equal the original!");
+ return fails;
+ }
+
+size_t test_calc_with_zeropoint()
+ {
+ size_t fails = 0;
+
+ std::string G_secp_comp = "024a96b5688ef573284664698968c38bb913cbfc82";
+ std::vector<byte> sv_G_secp_comp = hex_decode ( G_secp_comp );
+ BigInt bi_p_secp("0xffffffffffffffffffffffffffffffff7fffffff");
+ BigInt bi_a_secp("0xffffffffffffffffffffffffffffffff7ffffffc");
+ BigInt bi_b_secp("0x1c97befc54bd7a8b65acf89f81d4d4adc565fa45");
+ CurveGFp curve(bi_p_secp, bi_a_secp, bi_b_secp);
+
+ PointGFp p(curve,
+ BigInt("16984103820118642236896513183038186009872590470"),
+ BigInt("1373093393927139016463695321221277758035357890939"));
+
+ if(!p.on_the_curve())
+ throw Internal_Error("Point not on the curve");
+ CHECK_MESSAGE( !p.is_zero(), "created is zeropoint, shouldn't be!");
+
+ PointGFp zero(curve);
+ CHECK_MESSAGE( zero.is_zero(), "by constructor created zeropoint is no zeropoint!");
+
+ PointGFp res = p + zero;
+ CHECK_MESSAGE( res == p, "point + zeropoint is not equal the point");
+
+ res = p - zero;
+ CHECK_MESSAGE( res == p, "point - zeropoint is not equal the point");
+
+ res = zero * 32432243;
+ CHECK_MESSAGE( res.is_zero(), "zeropoint * skalar is not a zero-point!");
+ return fails;
+ }
+
+size_t test_add_point()
+ {
+ size_t fails = 0;
+
+ // precalculation
+ std::string p_secp = "ffffffffffffffffffffffffffffffff7fffffff";
+ std::string a_secp = "ffffffffffffffffffffffffffffffff7ffffffc";
+ std::string b_secp = "1c97befc54bd7a8b65acf89f81d4d4adc565fa45";
+ std::string G_secp_comp = "024a96b5688ef573284664698968c38bb913cbfc82";
+ std::vector<byte> sv_p_secp = hex_decode ( p_secp );
+ std::vector<byte> sv_a_secp = hex_decode ( a_secp );
+ std::vector<byte> sv_b_secp = hex_decode ( b_secp );
+ std::vector<byte> sv_G_secp_comp = hex_decode ( G_secp_comp );
+ BigInt bi_p_secp = BigInt::decode ( &sv_p_secp[0], sv_p_secp.size() );
+ BigInt bi_a_secp = BigInt::decode ( &sv_a_secp[0], sv_a_secp.size() );
+ BigInt bi_b_secp = BigInt::decode ( &sv_b_secp[0], sv_b_secp.size() );
+ CurveGFp secp160r1(bi_p_secp, bi_a_secp, bi_b_secp);
+ PointGFp p_G = OS2ECP ( sv_G_secp_comp, secp160r1 );
+
+ PointGFp p0 = p_G;
+ PointGFp p1 = p_G *= 2;
+
+ p1 += p0;
+
+ PointGFp expected(secp160r1,
+ BigInt("704859595002530890444080436569091156047721708633"),
+ BigInt("1147993098458695153857594941635310323215433166682"));
+
+ CHECK(p1 == expected);
+ return fails;
+ }
+
+size_t test_sub_point()
+ {
+ size_t fails = 0;
+
+ //Setting up expected values
+ BigInt exp_sub_x(std::string("112913490230515010376958384252467223283065196552"));
+ BigInt exp_sub_y(std::string("143464803917389475471159193867377888720776527730"));
+ BigInt exp_sub_z(std::string("562006223742588575209908669014372619804457947208"));
+
+ // precalculation
+ std::string p_secp = "ffffffffffffffffffffffffffffffff7fffffff";
+ std::string a_secp = "ffffffffffffffffffffffffffffffff7ffffffc";
+ std::string b_secp = "1c97befc54bd7a8b65acf89f81d4d4adc565fa45";
+ std::string G_secp_comp = "024a96b5688ef573284664698968c38bb913cbfc82";
+ std::vector<byte> sv_p_secp = hex_decode ( p_secp );
+ std::vector<byte> sv_a_secp = hex_decode ( a_secp );
+ std::vector<byte> sv_b_secp = hex_decode ( b_secp );
+ std::vector<byte> sv_G_secp_comp = hex_decode ( G_secp_comp );
+ BigInt bi_p_secp = BigInt::decode ( &sv_p_secp[0], sv_p_secp.size() );
+ BigInt bi_a_secp = BigInt::decode ( &sv_a_secp[0], sv_a_secp.size() );
+ BigInt bi_b_secp = BigInt::decode ( &sv_b_secp[0], sv_b_secp.size() );
+ CurveGFp secp160r1(bi_p_secp, bi_a_secp, bi_b_secp);
+ PointGFp p_G = OS2ECP ( sv_G_secp_comp, secp160r1 );
+
+ PointGFp p0 = p_G;
+ PointGFp p1 = p_G *= 2;
+
+ p1 -= p0;
+
+ PointGFp expected(secp160r1,
+ BigInt("425826231723888350446541592701409065913635568770"),
+ BigInt("203520114162904107873991457957346892027982641970"));
+
+ CHECK(p1 == expected);
+ return fails;
+ }
+
+size_t test_mult_point()
+ {
+ size_t fails = 0;
+
+ //Setting up expected values
+ BigInt exp_mult_x(std::string("967697346845926834906555988570157345422864716250"));
+ BigInt exp_mult_y(std::string("512319768365374654866290830075237814703869061656"));
+
+ // precalculation
+ std::string p_secp = "ffffffffffffffffffffffffffffffff7fffffff";
+ std::string a_secp = "ffffffffffffffffffffffffffffffff7ffffffc";
+ std::string b_secp = "1c97befc54bd7a8b65acf89f81d4d4adc565fa45";
+ std::string G_secp_comp = "024a96b5688ef573284664698968c38bb913cbfc82";
+ std::vector<byte> sv_p_secp = hex_decode ( p_secp );
+ std::vector<byte> sv_a_secp = hex_decode ( a_secp );
+ std::vector<byte> sv_b_secp = hex_decode ( b_secp );
+ std::vector<byte> sv_G_secp_comp = hex_decode ( G_secp_comp );
+ BigInt bi_p_secp = BigInt::decode ( &sv_p_secp[0], sv_p_secp.size() );
+ BigInt bi_a_secp = BigInt::decode ( &sv_a_secp[0], sv_a_secp.size() );
+ BigInt bi_b_secp = BigInt::decode ( &sv_b_secp[0], sv_b_secp.size() );
+ CurveGFp secp160r1(bi_p_secp, bi_a_secp, bi_b_secp);
+ PointGFp p_G = OS2ECP ( sv_G_secp_comp, secp160r1 );
+
+ PointGFp p0 = p_G;
+ PointGFp p1 = p_G *= 2;
+
+ p1 *= p0.get_affine_x();
+
+ PointGFp expected(secp160r1, exp_mult_x, exp_mult_y);
+
+ CHECK(p1 == expected);
+ return fails;
+ }
+
+size_t test_basic_operations()
+ {
+ size_t fails = 0;
+
+ // precalculation
+ std::string p_secp = "ffffffffffffffffffffffffffffffff7fffffff";
+ std::string a_secp = "ffffffffffffffffffffffffffffffff7ffffffc";
+ std::string b_secp = "1c97befc54bd7a8b65acf89f81d4d4adc565fa45";
+ std::string G_secp_comp = "024a96b5688ef573284664698968c38bb913cbfc82";
+ std::vector<byte> sv_p_secp = hex_decode ( p_secp );
+ std::vector<byte> sv_a_secp = hex_decode ( a_secp );
+ std::vector<byte> sv_b_secp = hex_decode ( b_secp );
+ std::vector<byte> sv_G_secp_comp = hex_decode ( G_secp_comp );
+ BigInt bi_p_secp = BigInt::decode ( &sv_p_secp[0], sv_p_secp.size() );
+ BigInt bi_a_secp = BigInt::decode ( &sv_a_secp[0], sv_a_secp.size() );
+ BigInt bi_b_secp = BigInt::decode ( &sv_b_secp[0], sv_b_secp.size() );
+ CurveGFp secp160r1(bi_p_secp, bi_a_secp, bi_b_secp);
+
+ PointGFp p_G = OS2ECP ( sv_G_secp_comp, secp160r1 );
+
+ PointGFp p0 = p_G;
+
+ PointGFp expected(secp160r1,
+ BigInt("425826231723888350446541592701409065913635568770"),
+ BigInt("203520114162904107873991457957346892027982641970"));
+
+ CHECK(p0 == expected);
+
+ PointGFp p1 = p_G *= 2;
+
+ CHECK(p1.get_affine_x() == BigInt("16984103820118642236896513183038186009872590470"));
+ CHECK(p1.get_affine_y() == BigInt("1373093393927139016463695321221277758035357890939"));
+
+ PointGFp simplePlus= p1 + p0;
+ PointGFp exp_simplePlus(secp160r1,
+ BigInt("704859595002530890444080436569091156047721708633"),
+ BigInt("1147993098458695153857594941635310323215433166682"));
+ if(simplePlus != exp_simplePlus)
+ std::cout << simplePlus << " != " << exp_simplePlus << "\n";
+
+ PointGFp simpleMinus= p1 - p0;
+ PointGFp exp_simpleMinus(secp160r1,
+ BigInt("425826231723888350446541592701409065913635568770"),
+ BigInt("203520114162904107873991457957346892027982641970"));
+
+ CHECK(simpleMinus == exp_simpleMinus);
+
+ PointGFp simpleMult= p1 * 123456789;
+
+ CHECK(simpleMult.get_affine_x() == BigInt("43638877777452195295055270548491599621118743290"));
+ CHECK(simpleMult.get_affine_y() == BigInt("56841378500012376527163928510402662349220202981"));
+
+ // check that all initial points hasn't changed
+ CHECK(p1.get_affine_x() == BigInt("16984103820118642236896513183038186009872590470"));
+ CHECK(p1.get_affine_y() == BigInt("1373093393927139016463695321221277758035357890939"));
+
+ CHECK(p0.get_affine_x() == BigInt("425826231723888350446541592701409065913635568770"));
+ CHECK(p0.get_affine_y() == BigInt("203520114162904107873991457957346892027982641970"));
+ return fails;
+ }
+
+size_t test_enc_dec_compressed_160()
+ {
+ size_t fails = 0;
+
+ // Test for compressed conversion (02/03) 160bit
+ std::string p_secp = "ffffffffffffffffffffffffffffffff7fffffff";
+ std::string a_secp = "ffffffffffffffffffffffffffffffff7ffffffC";
+ std::string b_secp = "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45";
+ std::string G_secp_comp = "024A96B5688EF573284664698968C38BB913CBFC82";
+ std::string G_order_secp_comp = "0100000000000000000001F4C8F927AED3CA752257";
+
+ std::vector<byte> sv_p_secp = hex_decode ( p_secp );
+ std::vector<byte> sv_a_secp = hex_decode ( a_secp );
+ std::vector<byte> sv_b_secp = hex_decode ( b_secp );
+ std::vector<byte> sv_G_secp_comp = hex_decode ( G_secp_comp );
+
+ BigInt bi_p_secp = BigInt::decode ( &sv_p_secp[0], sv_p_secp.size() );
+ BigInt bi_a_secp = BigInt::decode ( &sv_a_secp[0], sv_a_secp.size() );
+ BigInt bi_b_secp = BigInt::decode ( &sv_b_secp[0], sv_b_secp.size() );
+
+ CurveGFp secp160r1(bi_p_secp, bi_a_secp, bi_b_secp);
+
+ PointGFp p_G = OS2ECP ( sv_G_secp_comp, secp160r1 );
+ std::vector<byte> sv_result = unlock(EC2OSP(p_G, PointGFp::COMPRESSED));
+
+ CHECK( sv_result == sv_G_secp_comp);
+ return fails;
+ }
+
+size_t test_enc_dec_compressed_256()
+ {
+ size_t fails = 0;
+
+ // Test for compressed conversion (02/03) 256bit
+ std::string p_secp = "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff";
+ std::string a_secp = "ffffffff00000001000000000000000000000000ffffffffffffffffffffffFC";
+ std::string b_secp = "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B";
+ std::string G_secp_comp = "036B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296";
+ std::string G_order_secp_comp = "ffffffff00000000ffffffffffffffffBCE6FAADA7179E84F3B9CAC2FC632551";
+
+ std::vector<byte> sv_p_secp = hex_decode ( p_secp );
+ std::vector<byte> sv_a_secp = hex_decode ( a_secp );
+ std::vector<byte> sv_b_secp = hex_decode ( b_secp );
+ std::vector<byte> sv_G_secp_comp = hex_decode ( G_secp_comp );
+
+ BigInt bi_p_secp = BigInt::decode ( &sv_p_secp[0], sv_p_secp.size() );
+ BigInt bi_a_secp = BigInt::decode ( &sv_a_secp[0], sv_a_secp.size() );
+ BigInt bi_b_secp = BigInt::decode ( &sv_b_secp[0], sv_b_secp.size() );
+
+ CurveGFp secp160r1(bi_p_secp, bi_a_secp, bi_b_secp);
+
+ PointGFp p_G = OS2ECP ( sv_G_secp_comp, secp160r1 );
+ std::vector<byte> sv_result = unlock(EC2OSP(p_G, PointGFp::COMPRESSED));
+
+ CHECK( sv_result == sv_G_secp_comp);
+ return fails;
+ }
+
+
+size_t test_enc_dec_uncompressed_112()
+ {
+ size_t fails = 0;
+
+ // Test for uncompressed conversion (04) 112bit
+
+ std::string p_secp = "db7c2abf62e35e668076bead208b";
+ std::string a_secp = "6127C24C05F38A0AAAF65C0EF02C";
+ std::string b_secp = "51DEF1815DB5ED74FCC34C85D709";
+ std::string G_secp_uncomp = "044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97";
+ std::string G_order_secp_uncomp = "36DF0AAFD8B8D7597CA10520D04B";
+
+ std::vector<byte> sv_p_secp = hex_decode ( p_secp );
+ std::vector<byte> sv_a_secp = hex_decode ( a_secp );
+ std::vector<byte> sv_b_secp = hex_decode ( b_secp );
+ std::vector<byte> sv_G_secp_uncomp = hex_decode ( G_secp_uncomp );
+
+ BigInt bi_p_secp = BigInt::decode ( &sv_p_secp[0], sv_p_secp.size() );
+ BigInt bi_a_secp = BigInt::decode ( &sv_a_secp[0], sv_a_secp.size() );
+ BigInt bi_b_secp = BigInt::decode ( &sv_b_secp[0], sv_b_secp.size() );
+
+ CurveGFp secp160r1(bi_p_secp, bi_a_secp, bi_b_secp);
+
+ PointGFp p_G = OS2ECP ( sv_G_secp_uncomp, secp160r1 );
+ std::vector<byte> sv_result = unlock(EC2OSP(p_G, PointGFp::UNCOMPRESSED));
+
+ CHECK( sv_result == sv_G_secp_uncomp);
+ return fails;
+ }
+
+size_t test_enc_dec_uncompressed_521()
+ {
+ size_t fails = 0;
+
+ // Test for uncompressed conversion(04) with big values(521 bit)
+ std::string p_secp = "01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff";
+ std::string a_secp = "01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFC";
+ std::string b_secp = "0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00";
+ std::string G_secp_uncomp = "0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2ffA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650";
+ std::string G_order_secp_uncomp = "01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409";
+
+ std::vector<byte> sv_p_secp = hex_decode ( p_secp );
+ std::vector<byte> sv_a_secp = hex_decode ( a_secp );
+ std::vector<byte> sv_b_secp = hex_decode ( b_secp );
+ std::vector<byte> sv_G_secp_uncomp = hex_decode ( G_secp_uncomp );
+
+ BigInt bi_p_secp = BigInt::decode ( &sv_p_secp[0], sv_p_secp.size() );
+ BigInt bi_a_secp = BigInt::decode ( &sv_a_secp[0], sv_a_secp.size() );
+ BigInt bi_b_secp = BigInt::decode ( &sv_b_secp[0], sv_b_secp.size() );
+
+ CurveGFp secp160r1(bi_p_secp, bi_a_secp, bi_b_secp);
+
+ PointGFp p_G = OS2ECP ( sv_G_secp_uncomp, secp160r1 );
+
+ std::vector<byte> sv_result = unlock(EC2OSP(p_G, PointGFp::UNCOMPRESSED));
+ std::string result = hex_encode(&sv_result[0], sv_result.size());
+ std::string exp_result = hex_encode(&sv_G_secp_uncomp[0], sv_G_secp_uncomp.size());
+
+ CHECK_MESSAGE( sv_result == sv_G_secp_uncomp, "\ncalc. result = " << result << "\nexp. result = " << exp_result << "\n");
+ return fails;
+ }
+
+size_t test_enc_dec_uncompressed_521_prime_too_large()
+ {
+ size_t fails = 0;
+
+ // Test for uncompressed conversion(04) with big values(521 bit)
+ std::string p_secp = "01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"; // length increased by "ff"
+ std::string a_secp = "01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFC";
+ std::string b_secp = "0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00";
+ std::string G_secp_uncomp = "0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2ffA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650";
+ std::string G_order_secp_uncomp = "01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409";
+
+ std::vector<byte> sv_p_secp = hex_decode ( p_secp );
+ std::vector<byte> sv_a_secp = hex_decode ( a_secp );
+ std::vector<byte> sv_b_secp = hex_decode ( b_secp );
+ std::vector<byte> sv_G_secp_uncomp = hex_decode ( G_secp_uncomp );
+
+ BigInt bi_p_secp = BigInt::decode ( &sv_p_secp[0], sv_p_secp.size() );
+ BigInt bi_a_secp = BigInt::decode ( &sv_a_secp[0], sv_a_secp.size() );
+ BigInt bi_b_secp = BigInt::decode ( &sv_b_secp[0], sv_b_secp.size() );
+
+ CurveGFp secp521r1 (bi_p_secp, bi_a_secp, bi_b_secp);
+ std::unique_ptr<PointGFp> p_G;
+ bool exc = false;
+ try
+ {
+ p_G = std::unique_ptr<PointGFp>(new PointGFp(OS2ECP ( sv_G_secp_uncomp, secp521r1)));
+ if(!p_G->on_the_curve())
+ throw Internal_Error("Point not on the curve");
+ }
+ catch (std::exception e)
+ {
+ exc = true;
+ }
+
+ CHECK_MESSAGE(exc, "attempt of creation of point on curve with too high prime did not throw an exception");
+ return fails;
+ }
+
+size_t test_gfp_store_restore()
+ {
+ size_t fails = 0;
+
+ // generate point
+ //EC_Group dom_pars = global_config().get_ec_dompar("1.3.132.0.8");
+ //EC_Group dom_pars("1.3.132.0.8");
+ EC_Group dom_pars(OID("1.3.132.0.8"));
+ PointGFp p = dom_pars.get_base_point();
+
+ //store point (to std::string)
+ std::vector<byte> sv_mes = unlock(EC2OSP(p, PointGFp::COMPRESSED));
+ PointGFp new_p = OS2ECP(sv_mes, dom_pars.get_curve());
+
+ CHECK_MESSAGE( p == new_p, "original and restored point are different!");
+ return fails;
+ }
+
+
+// maybe move this test
+size_t test_cdc_curve_33()
+ {
+ size_t fails = 0;
+
+ std::string G_secp_uncomp = "04081523d03d4f12cd02879dea4bf6a4f3a7df26ed888f10c5b2235a1274c386a2f218300dee6ed217841164533bcdc903f07a096f9fbf4ee95bac098a111f296f5830fe5c35b3e344d5df3a2256985f64fbe6d0edcc4c61d18bef681dd399df3d0194c5a4315e012e0245ecea56365baa9e8be1f7";
+
+ std::vector<byte> sv_G_uncomp = hex_decode ( G_secp_uncomp );
+
+ BigInt bi_p_secp = BigInt("2117607112719756483104013348936480976596328609518055062007450442679169492999007105354629105748524349829824407773719892437896937279095106809");
+ BigInt bi_a_secp("0xa377dede6b523333d36c78e9b0eaa3bf48ce93041f6d4fc34014d08f6833807498deedd4290101c5866e8dfb589485d13357b9e78c2d7fbe9fe");
+ BigInt bi_b_secp("0xa9acf8c8ba617777e248509bcb4717d4db346202bf9e352cd5633731dd92a51b72a4dc3b3d17c823fcc8fbda4da08f25dea89046087342595a7");
+
+ CurveGFp curve(bi_p_secp, bi_a_secp, bi_b_secp);
+ PointGFp p_G = OS2ECP ( sv_G_uncomp, curve);
+ bool exc = false;
+ try
+ {
+ if(!p_G.on_the_curve())
+ throw Internal_Error("Point not on the curve");
+ }
+ catch (std::exception)
+ {
+ exc = true;
+ }
+ CHECK(!exc);
+ return fails;
+ }
+
+size_t test_more_zeropoint()
+ {
+ size_t fails = 0;
+
+ // by Falko
+
+ std::string G = "024a96b5688ef573284664698968c38bb913cbfc82";
+ std::vector<byte> sv_G_secp_comp = hex_decode ( G );
+ BigInt bi_p("0xffffffffffffffffffffffffffffffff7fffffff");
+ BigInt bi_a("0xffffffffffffffffffffffffffffffff7ffffffc");
+ BigInt bi_b("0x1c97befc54bd7a8b65acf89f81d4d4adc565fa45");
+ CurveGFp curve(bi_p, bi_a, bi_b);
+
+ PointGFp p1(curve,
+ BigInt("16984103820118642236896513183038186009872590470"),
+ BigInt("1373093393927139016463695321221277758035357890939"));
+
+ if(!p1.on_the_curve())
+ throw Internal_Error("Point not on the curve");
+ PointGFp minus_p1 = -p1;
+ if(!minus_p1.on_the_curve())
+ throw Internal_Error("Point not on the curve");
+ PointGFp shouldBeZero = p1 + minus_p1;
+ if(!shouldBeZero.on_the_curve())
+ throw Internal_Error("Point not on the curve");
+
+ BigInt y1 = p1.get_affine_y();
+ y1 = curve.get_p() - y1;
+
+ CHECK_MESSAGE(p1.get_affine_x() == minus_p1.get_affine_x(),
+ "problem with minus_p1 : x");
+ CHECK_MESSAGE(minus_p1.get_affine_y() == y1,
+ "problem with minus_p1 : y");
+
+ PointGFp zero(curve);
+ if(!zero.on_the_curve())
+ throw Internal_Error("Point not on the curve");
+ CHECK_MESSAGE(p1 + zero == p1, "addition of zero modified point");
+
+ CHECK_MESSAGE( shouldBeZero.is_zero(), "p - q with q = p is not zero!");
+ return fails;
+ }
+
+size_t test_mult_by_order()
+ {
+ size_t fails = 0;
+
+ // generate point
+ EC_Group dom_pars(OID("1.3.132.0.8"));
+ PointGFp p = dom_pars.get_base_point();
+ PointGFp shouldBeZero = p * dom_pars.get_order();
+
+ CHECK_MESSAGE(shouldBeZero.is_zero(), "G * order != O");
+ return fails;
+ }
+
+size_t test_point_swap(RandomNumberGenerator& rng)
+ {
+ size_t fails = 0;
+
+
+ EC_Group dom_pars(OID("1.3.132.0.8"));
+
+ PointGFp a(create_random_point(rng, dom_pars.get_curve()));
+ PointGFp b(create_random_point(rng, dom_pars.get_curve()));
+ b *= BigInt(20);
+
+ PointGFp c(a);
+ PointGFp d(b);
+
+ d.swap(c);
+ CHECK(a == d);
+ CHECK(b == c);
+ return fails;
+ }
+
+/**
+* This test verifies that the side channel attack resistant multiplication function
+* yields the same result as the normal (insecure) multiplication via operator*=
+*/
+size_t test_mult_sec_mass(RandomNumberGenerator& rng)
+ {
+ size_t fails = 0;
+
+
+ EC_Group dom_pars(OID("1.3.132.0.8"));
+ for(int i = 0; i<50; i++)
+ {
+ PointGFp a(create_random_point(rng, dom_pars.get_curve()));
+ BigInt scal(BigInt(rng, 40));
+ PointGFp b = a * scal;
+ PointGFp c(a);
+
+ c *= scal;
+ CHECK(b == c);
+ }
+ return fails;
+ }
+
+size_t test_curve_cp_ctor()
+ {
+ try
+ {
+ EC_Group dom_pars(OID("1.3.132.0.8"));
+ CurveGFp curve(dom_pars.get_curve());
+ }
+ catch(...)
+ {
+ return 1;
+
+ }
+
+ return 0;
+ }
+
+}
+
+size_t test_ecc()
+ {
+ AutoSeeded_RNG rng;
+
+ size_t fails = 0;
+
+ fails += test_point_turn_on_sp_red_mul();
+ fails += test_coordinates();
+ fails += test_point_transformation ();
+ fails += test_point_mult ();
+ fails += test_point_negative();
+ fails += test_zeropoint();
+ fails += test_zeropoint_enc_dec();
+ fails += test_calc_with_zeropoint();
+ fails += test_add_point();
+ fails += test_sub_point();
+ fails += test_mult_point();
+ fails += test_basic_operations();
+ fails += test_enc_dec_compressed_160();
+ fails += test_enc_dec_compressed_256();
+ fails += test_enc_dec_uncompressed_112();
+ fails += test_enc_dec_uncompressed_521();
+ fails += test_enc_dec_uncompressed_521_prime_too_large();
+ fails += test_gfp_store_restore();
+ fails += test_cdc_curve_33();
+ fails += test_more_zeropoint();
+ fails += test_mult_by_order();
+ fails += test_point_swap(rng);
+ fails += test_mult_sec_mass(rng);
+ fails += test_curve_cp_ctor();
+
+ test_report("ECC", 0, fails);
+
+ return fails;
+ }
generated by cgit v1.2.3 (git 2.39.1) at 2024-12-23 22:31:23 +0000