12805544433

Committed 16 Jan 2025 09:08AM UTC coverage: 90.876% (-0.4%) from 91.245%

Build # 12805544433

Build Type

Pull #4540

github

Committed by

web-flow

Commit Message

Merge cc1ceff51 into 9b798efbb

Pull Request Pull Request #4540: PKCS #11 Version 3.2 Support

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/src/tests/test_ecc_pointmul.cpp

/*
* (C) 2014,2015,2019 Jack Lloyd
*
* Botan is released under the Simplified BSD License (see license.txt)
*/

#include "tests.h"

#if defined(BOTAN_HAS_ECC_GROUP)
   #include <botan/bigint.h>
   #include <botan/ec_group.h>
   #include <botan/internal/fmt.h>
#endif

namespace Botan_Tests {

namespace {

#if defined(BOTAN_HAS_ECC_GROUP)

class ECC_Basepoint_Mul_Tests final : public Text_Based_Test {
   public:
      ECC_Basepoint_Mul_Tests() : Text_Based_Test("pubkey/ecc_base_point_mul.vec", "k,P") {}

      Test::Result run_one_test(const std::string& group_id, const VarMap& vars) override {
         Test::Result result("ECC base point multiply " + group_id);

         const auto k_bytes = vars.get_req_bin("k");
         const auto P_bytes = vars.get_req_bin("P");

         const auto group = Botan::EC_Group::from_name(group_id);

         const Botan::BigInt k(k_bytes);
         std::vector<Botan::BigInt> ws;

   #if defined(BOTAN_HAS_LEGACY_EC_POINT)
         const auto pt = group.OS2ECP(P_bytes);
         const Botan::EC_Point p1 = group.get_base_point() * k;
         result.test_eq("EC_Point Montgomery ladder", p1.encode(Botan::EC_Point_Format::Uncompressed), P_bytes);
   #endif

         const auto scalar = Botan::EC_Scalar::from_bigint(group, k);
         const auto apg = Botan::EC_AffinePoint::g_mul(scalar, this->rng(), ws);
         result.test_eq("AffinePoint::g_mul", apg.serialize_uncompressed(), P_bytes);

         const auto ag = Botan::EC_AffinePoint::generator(group);
         const auto ap = ag.mul(scalar, this->rng(), ws);
         result.test_eq("AffinePoint::mul", ap.serialize_uncompressed(), P_bytes);

         return result;
      }
};

BOTAN_REGISTER_TEST("pubkey", "ecc_basemul", ECC_Basepoint_Mul_Tests);

class ECC_Varpoint_Mul_Tests final : public Text_Based_Test {
   public:
      ECC_Varpoint_Mul_Tests() : Text_Based_Test("pubkey/ecc_var_point_mul.vec", "P,k,Z") {}

      Test::Result run_one_test(const std::string& group_id, const VarMap& vars) override {
         Test::Result result("ECC var point multiply " + group_id);

         const auto p = vars.get_req_bin("P");
         const Botan::BigInt k = vars.get_req_bn("k");
         const auto z = vars.get_req_bin("Z");

         const auto group = Botan::EC_Group::from_name(group_id);

         std::vector<Botan::BigInt> ws;

   #if defined(BOTAN_HAS_LEGACY_EC_POINT)
         const Botan::EC_Point p1 = group.OS2ECP(p) * k;
         result.test_eq("EC_Point Montgomery ladder", p1.encode(Botan::EC_Point::Compressed), z);
         result.confirm("Output point is on the curve", p1.on_the_curve());
   #endif

         const auto s_k = Botan::EC_Scalar::from_bigint(group, k);
         const auto apt = Botan::EC_AffinePoint::deserialize(group, p).value();
         const auto apt_k = apt.mul(s_k, this->rng(), ws);
         result.test_eq("p * k (AffinePoint)", apt_k.serialize_compressed(), z);

         const auto apt_k_neg = apt.negate().mul(s_k.negate(), this->rng(), ws);
         result.test_eq("-p * -k (AffinePoint)", apt_k_neg.serialize_compressed(), z);

         const auto neg_apt_neg_k = apt.mul(s_k.negate(), this->rng(), ws).negate();
         result.test_eq("-(p * -k) (AffinePoint)", neg_apt_neg_k.serialize_compressed(), z);

         return result;
      }
};

BOTAN_REGISTER_TEST("pubkey", "ecc_varmul", ECC_Varpoint_Mul_Tests);

class ECC_Mul2_Tests final : public Text_Based_Test {
   public:
      ECC_Mul2_Tests() : Text_Based_Test("pubkey/ecc_var_point_mul2.vec", "P,x,Q,y,Z") {}

      Test::Result run_one_test(const std::string& group_id, const VarMap& vars) override {
         Test::Result result("ECC mul2 " + group_id);

         const auto Z_bytes = vars.get_req_bin("Z");

         const auto check_px_qy = [&](const char* what,
                                      const Botan::EC_AffinePoint& p,
                                      const Botan::EC_Scalar& x,
                                      const Botan::EC_AffinePoint& q,
                                      const Botan::EC_Scalar& y,
                                      bool with_final_negation = false) {
            if(const auto z = Botan::EC_AffinePoint::mul_px_qy(p, x, q, y, rng())) {
               if(with_final_negation) {
                  result.test_eq(what, z->negate().serialize_compressed(), Z_bytes);
               } else {
                  result.test_eq(what, z->serialize_compressed(), Z_bytes);
               }
            } else {
               result.test_failure("EC_AffinePoint::mul_px_qy failed to produce a result");
            }

            // Now check the same using naive multiply and add:
            std::vector<BigInt> ws;
            auto z = p.mul(x, rng(), ws).add(q.mul(y, rng(), ws));
            if(with_final_negation) {
               z = z.negate();
            }
            result.test_eq("p*x + q*y naive", z.serialize_compressed(), Z_bytes);
         };

         const auto group = Botan::EC_Group::from_name(group_id);

         const auto p = Botan::EC_AffinePoint::deserialize(group, vars.get_req_bin("P")).value();
         const auto q = Botan::EC_AffinePoint::deserialize(group, vars.get_req_bin("Q")).value();
         const auto x = Botan::EC_Scalar::from_bigint(group, vars.get_req_bn("x"));
         const auto y = Botan::EC_Scalar::from_bigint(group, vars.get_req_bn("y"));

         const auto np = p.negate();
         const auto nq = q.negate();
         const auto nx = x.negate();
         const auto ny = y.negate();

         check_px_qy("p*x + q*y", p, x, q, y);
         check_px_qy("-p*-x + -q*-y", np, nx, nq, ny);
         check_px_qy("-(p*-x + q*-y)", p, nx, q, ny, true);
         check_px_qy("-(-p*x + -q*y)", np, x, nq, y, true);

         return result;
      }
};

BOTAN_REGISTER_TEST("pubkey", "ecc_mul2", ECC_Mul2_Tests);

class ECC_Mul2_Inf_Tests final : public Test {
   public:
      std::vector<Test::Result> run() override {
         std::vector<Test::Result> results;

         for(const auto& group_id : Botan::EC_Group::known_named_groups()) {
            Test::Result result("ECC mul2 inf " + group_id);

            const auto check_px_qy = [&](const char* what,
                                         const Botan::EC_AffinePoint& p,
                                         const Botan::EC_Scalar& x,
                                         const Botan::EC_AffinePoint& q,
                                         const Botan::EC_Scalar& y) {
               if(const auto z = Botan::EC_AffinePoint::mul_px_qy(p, x, q, y, rng())) {
                  result.test_failure(Botan::fmt("EC_AffinePoint::mul_px_qy {} unexpectedly produced a result", what));
               } else {
                  result.test_success(Botan::fmt("EC_AffinePoint::mul_px_qy {} returned nullopt as expected", what));
               }
            };

            const auto group = Botan::EC_Group::from_name(group_id);

            const auto g = Botan::EC_AffinePoint::generator(group);

            // Choose some other random point z
            std::vector<Botan::BigInt> ws;
            const auto z = g.mul(Botan::EC_Scalar::random(group, rng()), rng(), ws);

            const auto r = Botan::EC_Scalar::random(group, rng());
            const auto neg_r = r.negate();
            const auto neg_r2 = neg_r + neg_r;

            const auto zero = r - r;
            result.confirm("Computed EC_Scalar is zero", zero.is_zero());

            const auto g2 = g.add(g);

            const auto id = Botan::EC_AffinePoint::identity(group);

            check_px_qy("0*g + r*id", g, zero, id, r);
            check_px_qy("0*id + r*id", id, zero, id, r);
            check_px_qy("0*g + 0*z", g, zero, z, zero);
            check_px_qy("r*g + -r*g", g, r, g, neg_r);
            check_px_qy("-r*g + r*g", g, neg_r, g, r);
            check_px_qy("r*g + r*-g", g, r, g.negate(), r);
            check_px_qy("r*g2 + -r2*g", g2, r, g, neg_r2);

            results.push_back(result);
         }

         return results;
      }
};

BOTAN_REGISTER_TEST("pubkey", "ecc_mul2_inf", ECC_Mul2_Inf_Tests);

class ECC_Point_Addition_Tests final : public Test {
   public:
      std::vector<Test::Result> run() override {
         std::vector<Test::Result> results;

         for(const auto& group_id : Botan::EC_Group::known_named_groups()) {
            Test::Result result("ECC addition " + group_id);

            const auto group = Botan::EC_Group::from_name(group_id);

            const auto g = Botan::EC_AffinePoint::generator(group);
            result.test_eq("g is not the identity element", g.is_identity(), false);

            // Choose some other random point z
            std::vector<Botan::BigInt> ws;
            const auto z = g.mul(Botan::EC_Scalar::random(group, rng()), rng(), ws);
            result.test_eq("z is not the identity element", z.is_identity(), false);

            const auto id = Botan::EC_AffinePoint::identity(group);
            result.test_eq("id is the identity element", id.is_identity(), true);

            const auto g_bytes = g.serialize_uncompressed();

            auto check_expr_is_g = [&](const char* msg, const Botan::EC_AffinePoint& pt) {
               result.test_eq(Botan::fmt("{} is g", msg), pt.serialize_uncompressed(), g_bytes);
            };

            const auto nz = z.negate();

            check_expr_is_g("g + id", g.add(id));
            check_expr_is_g("id + g", id.add(g));
            check_expr_is_g("g + id", g.add(id));
            check_expr_is_g("g + -id", g.add(id.negate()));
            check_expr_is_g("g + g + -g", g.add(g).add(g.negate()));
            check_expr_is_g("-id + g", id.negate().add(g));
            check_expr_is_g("z + g - z", z.add(g).add(nz));
            check_expr_is_g("z - z + g", z.add(nz).add(g));
            check_expr_is_g("z + z + g - z - z", z.add(z).add(g).add(nz).add(nz));
            check_expr_is_g("z + id + g + z - z - z", z.add(id).add(g).add(z).add(nz).add(nz));

            results.push_back(result);
         }

         return results;
      }
};

BOTAN_REGISTER_TEST("pubkey", "ecc_pt_addition", ECC_Point_Addition_Tests);

class ECC_Scalar_Arithmetic_Tests final : public Test {
   public:
      std::vector<Test::Result> run() override {
         std::vector<Test::Result> results;

         auto& rng = Test::rng();

         for(const auto& group_id : Botan::EC_Group::known_named_groups()) {
            const auto group = Botan::EC_Group::from_name(group_id);

            Test::Result result("ECC scalar arithmetic " + group_id);
            test_scalar_arith(result, group, rng);
            results.push_back(result);
         }
         return results;
      }

   private:
      void test_scalar_arith(Test::Result& result,
                             const Botan::EC_Group& group,
                             Botan::RandomNumberGenerator& rng) const {
         const auto one = Botan::EC_Scalar::one(group);
         const auto zero = one - one;
         const auto two = one + one;

         const size_t order_bytes = group.get_order_bytes();

         const auto ser_zero = std::vector<uint8_t>(order_bytes);

         const auto ser_one = [=]() {
            auto b = ser_zero;
            BOTAN_ASSERT_NOMSG(b.size() > 1);
            b[b.size() - 1] = 1;
            return b;
         }();

         result.test_eq("Serialization of zero is expected value", zero.serialize(), ser_zero);
         result.test_eq("Serialization of one is expected value", one.serialize(), ser_one);

         result.test_eq("Zero is zero", zero.is_zero(), true);
         result.test_eq("Negation of zero is zero", zero.negate().is_zero(), true);
         result.test_eq("One is not zero", one.is_zero(), false);

         // Zero inverse is not mathematically correct, but works out for our purposes
         result.test_eq("Inverse of zero is zero", zero.invert().serialize(), ser_zero);
         result.test_eq("Inverse of one is one", one.invert().serialize(), ser_one);

         constexpr size_t test_iter = 128;

         for(size_t i = 0; i != test_iter; ++i) {
            const auto r = Botan::EC_Scalar::random(group, rng);

            // Negation and addition are inverses
            result.test_eq("r + -r == 0", (r + r.negate()).serialize(), ser_zero);

            // Serialization and deserialization are inverses
            const auto r_bytes = r.serialize();
            result.test_eq("Deserialization of r round trips",
                           Botan::EC_Scalar::deserialize(group, r_bytes).value().serialize(),
                           r_bytes);

            // Multiplication and inversion are inverses
            const auto r2 = r * r;
            const auto r_inv = r.invert();
            result.test_eq("r * r^-1 = 1", (r * r_inv).serialize(), ser_one);
         }

         for(size_t i = 0; i != test_iter; ++i) {
            const auto a = Botan::EC_Scalar::random(group, rng);
            const auto b = Botan::EC_Scalar::random(group, rng);

            const auto ab = a * b;
            const auto a_inv = a.invert();
            const auto b_inv = b.invert();

            result.test_eq("a * b / b = a", (ab * b_inv).serialize(), a.serialize());
            result.test_eq("a * b / a = b", (ab * a_inv).serialize(), b.serialize());

            auto a_plus_b = a + b;
            result.test_eq("(a + b) - b == a", (a_plus_b - b).serialize(), a.serialize());
            result.test_eq("(a + b) - a == b", (a_plus_b - a).serialize(), b.serialize());
            result.test_eq("b - (a + b) == -a", (b - a_plus_b).serialize(), a.negate().serialize());
            result.test_eq("a - (a + b) == -b", (a - a_plus_b).serialize(), b.negate().serialize());
         }

         for(size_t i = 0; i != test_iter; ++i) {
            const auto a = Botan::EC_Scalar::random(group, rng);
            const auto b = Botan::EC_Scalar::random(group, rng);
            const auto c = Botan::EC_Scalar::random(group, rng);

            const auto ab_c = (a + b) * c;
            const auto ac_bc = a * c + b * c;

            result.test_eq("(a + b)*c == a * c + b * c", ab_c.serialize(), ac_bc.serialize());
         }

         for(size_t i = 0; i != test_iter; ++i) {
            const auto a = Botan::EC_Scalar::random(group, rng);
            const auto b = Botan::EC_Scalar::random(group, rng);
            const auto c = a * b;

            const auto c_bn = (a.to_bigint() * b.to_bigint());
            result.test_eq("matches BigInt", c.serialize(), (c_bn % group.get_order()).serialize(order_bytes));

            const auto c_wide_bytes = c_bn.serialize();
            result.test_lte("Expected size", c_wide_bytes.size(), 2 * order_bytes);

            const auto z = Botan::EC_Scalar::from_bytes_mod_order(group, c_wide_bytes);

            result.test_eq("from_bytes_mod_order", c.serialize(), z.serialize());
         }

         for(size_t i = 0; i != test_iter; ++i) {
            std::vector<uint8_t> r(2 * group.get_order_bytes());

            rng.randomize(r);

            const auto ref = Botan::BigInt::from_bytes(r) % group.get_order();

            const auto scalar = Botan::EC_Scalar::from_bytes_mod_order(group, r);

            result.test_eq("from_bytes_mod_order (random)", scalar.serialize(), ref.serialize(group.get_order_bytes()));
         }

         result.end_timer();
      }
};

BOTAN_REGISTER_TEST("pubkey", "ecc_scalar_arith", ECC_Scalar_Arithmetic_Tests);

#endif

}  // namespace

}  // namespace Botan_Tests

1	/*
2	* (C) 2014,2015,2019 Jack Lloyd
3	*
4	* Botan is released under the Simplified BSD License (see license.txt)
5	*/
6
7	#include "tests.h"
8
9	#if defined(BOTAN_HAS_ECC_GROUP)
10	#include <botan/bigint.h>
11	#include <botan/ec_group.h>
12	#include <botan/internal/fmt.h>
13	#endif
14
15	namespace Botan_Tests {
16
17	namespace {
18
19	#if defined(BOTAN_HAS_ECC_GROUP)
20
21	class ECC_Basepoint_Mul_Tests final : public Text_Based_Test {	×
22	public:
23	ECC_Basepoint_Mul_Tests() : Text_Based_Test("pubkey/ecc_base_point_mul.vec", "k,P") {}	2✔
24
25	Test::Result run_one_test(const std::string& group_id, const VarMap& vars) override {	535✔
26	Test::Result result("ECC base point multiply " + group_id);	535✔
27
28	const auto k_bytes = vars.get_req_bin("k");	535✔
29	const auto P_bytes = vars.get_req_bin("P");	535✔
30
31	const auto group = Botan::EC_Group::from_name(group_id);	535✔
32
33	const Botan::BigInt k(k_bytes);	535✔
34	std::vector<Botan::BigInt> ws;	535✔
35
36	#if defined(BOTAN_HAS_LEGACY_EC_POINT)
37	const auto pt = group.OS2ECP(P_bytes);	535✔
38	const Botan::EC_Point p1 = group.get_base_point() * k;	535✔
39	result.test_eq("EC_Point Montgomery ladder", p1.encode(Botan::EC_Point_Format::Uncompressed), P_bytes);	1,070✔
40	#endif
41
42	const auto scalar = Botan::EC_Scalar::from_bigint(group, k);	535✔
43	const auto apg = Botan::EC_AffinePoint::g_mul(scalar, this->rng(), ws);	535✔
44	result.test_eq("AffinePoint::g_mul", apg.serialize_uncompressed(), P_bytes);	1,070✔
45
46	const auto ag = Botan::EC_AffinePoint::generator(group);	535✔
47	const auto ap = ag.mul(scalar, this->rng(), ws);	535✔
48	result.test_eq("AffinePoint::mul", ap.serialize_uncompressed(), P_bytes);	1,070✔
49
50	return result;	1,070✔
51	}	2,140✔
52	};
53
54	BOTAN_REGISTER_TEST("pubkey", "ecc_basemul", ECC_Basepoint_Mul_Tests);
55
56	class ECC_Varpoint_Mul_Tests final : public Text_Based_Test {	×
57	public:
58	ECC_Varpoint_Mul_Tests() : Text_Based_Test("pubkey/ecc_var_point_mul.vec", "P,k,Z") {}	2✔
59
60	Test::Result run_one_test(const std::string& group_id, const VarMap& vars) override {	829✔
61	Test::Result result("ECC var point multiply " + group_id);	829✔
62
63	const auto p = vars.get_req_bin("P");	829✔
64	const Botan::BigInt k = vars.get_req_bn("k");	829✔
65	const auto z = vars.get_req_bin("Z");	829✔
66
67	const auto group = Botan::EC_Group::from_name(group_id);	829✔
68
69	std::vector<Botan::BigInt> ws;	829✔
70
71	#if defined(BOTAN_HAS_LEGACY_EC_POINT)
72	const Botan::EC_Point p1 = group.OS2ECP(p) * k;	1,658✔
73	result.test_eq("EC_Point Montgomery ladder", p1.encode(Botan::EC_Point::Compressed), z);	1,658✔
74	result.confirm("Output point is on the curve", p1.on_the_curve());	1,658✔
75	#endif
76
77	const auto s_k = Botan::EC_Scalar::from_bigint(group, k);	829✔
78	const auto apt = Botan::EC_AffinePoint::deserialize(group, p).value();	1,658✔
79	const auto apt_k = apt.mul(s_k, this->rng(), ws);	829✔
80	result.test_eq("p * k (AffinePoint)", apt_k.serialize_compressed(), z);	1,658✔
81
82	const auto apt_k_neg = apt.negate().mul(s_k.negate(), this->rng(), ws);	829✔
83	result.test_eq("-p * -k (AffinePoint)", apt_k_neg.serialize_compressed(), z);	1,658✔
84
85	const auto neg_apt_neg_k = apt.mul(s_k.negate(), this->rng(), ws).negate();	829✔
86	result.test_eq("-(p * -k) (AffinePoint)", neg_apt_neg_k.serialize_compressed(), z);	1,658✔
87
88	return result;	1,658✔
89	}	3,316✔
90	};
91
92	BOTAN_REGISTER_TEST("pubkey", "ecc_varmul", ECC_Varpoint_Mul_Tests);
93
94	class ECC_Mul2_Tests final : public Text_Based_Test {	×
95	public:
96	ECC_Mul2_Tests() : Text_Based_Test("pubkey/ecc_var_point_mul2.vec", "P,x,Q,y,Z") {}	2✔
97
98	Test::Result run_one_test(const std::string& group_id, const VarMap& vars) override {	819✔
99	Test::Result result("ECC mul2 " + group_id);	819✔
100
101	const auto Z_bytes = vars.get_req_bin("Z");	819✔
102
103	const auto check_px_qy = [&](const char* what,	4,095✔
104	const Botan::EC_AffinePoint& p,
105	const Botan::EC_Scalar& x,
106	const Botan::EC_AffinePoint& q,
107	const Botan::EC_Scalar& y,
108	bool with_final_negation = false) {
109	if(const auto z = Botan::EC_AffinePoint::mul_px_qy(p, x, q, y, rng())) {	3,276✔
110	if(with_final_negation) {	3,276✔
111	result.test_eq(what, z->negate().serialize_compressed(), Z_bytes);	4,914✔
112	} else {
113	result.test_eq(what, z->serialize_compressed(), Z_bytes);	4,914✔
114	}
115	} else {
116	result.test_failure("EC_AffinePoint::mul_px_qy failed to produce a result");	×
117	}	×
118
119	// Now check the same using naive multiply and add:
120	std::vector<BigInt> ws;	3,276✔
121	auto z = p.mul(x, rng(), ws).add(q.mul(y, rng(), ws));	3,276✔
122	if(with_final_negation) {	3,276✔
123	z = z.negate();	1,638✔
124	}
125	result.test_eq("px + qy naive", z.serialize_compressed(), Z_bytes);	6,552✔
126	};	3,276✔
127
128	const auto group = Botan::EC_Group::from_name(group_id);	819✔
129
130	const auto p = Botan::EC_AffinePoint::deserialize(group, vars.get_req_bin("P")).value();	3,276✔
131	const auto q = Botan::EC_AffinePoint::deserialize(group, vars.get_req_bin("Q")).value();	3,276✔
132	const auto x = Botan::EC_Scalar::from_bigint(group, vars.get_req_bn("x"));	1,638✔
133	const auto y = Botan::EC_Scalar::from_bigint(group, vars.get_req_bn("y"));	1,638✔
134
135	const auto np = p.negate();	819✔
136	const auto nq = q.negate();	819✔
137	const auto nx = x.negate();	819✔
138	const auto ny = y.negate();	819✔
139
140	check_px_qy("px + qy", p, x, q, y);	819✔
141	check_px_qy("-p-x + -q-y", np, nx, nq, ny);	819✔
142	check_px_qy("-(p-x + q-y)", p, nx, q, ny, true);	819✔
143	check_px_qy("-(-px + -qy)", np, x, nq, y, true);	819✔
144
145	return result;	1,638✔
146	}	1,638✔
147	};
148
149	BOTAN_REGISTER_TEST("pubkey", "ecc_mul2", ECC_Mul2_Tests);
150
151	class ECC_Mul2_Inf_Tests final : public Test {	×
152	public:
153	std::vector<Test::Result> run() override {	1✔
154	std::vector<Test::Result> results;	1✔
155
156	for(const auto& group_id : Botan::EC_Group::known_named_groups()) {	29✔
157	Test::Result result("ECC mul2 inf " + group_id);	28✔
158
159	const auto check_px_qy = [&](const char* what,	224✔
160	const Botan::EC_AffinePoint& p,
161	const Botan::EC_Scalar& x,
162	const Botan::EC_AffinePoint& q,
163	const Botan::EC_Scalar& y) {
164	if(const auto z = Botan::EC_AffinePoint::mul_px_qy(p, x, q, y, rng())) {	196✔
165	result.test_failure(Botan::fmt("EC_AffinePoint::mul_px_qy {} unexpectedly produced a result", what));	×
166	} else {
167	result.test_success(Botan::fmt("EC_AffinePoint::mul_px_qy {} returned nullopt as expected", what));	392✔
168	}	196✔
169	};	196✔
170
171	const auto group = Botan::EC_Group::from_name(group_id);	28✔
172
173	const auto g = Botan::EC_AffinePoint::generator(group);	28✔
174
175	// Choose some other random point z
176	std::vector<Botan::BigInt> ws;	28✔
177	const auto z = g.mul(Botan::EC_Scalar::random(group, rng()), rng(), ws);	28✔
178
179	const auto r = Botan::EC_Scalar::random(group, rng());	28✔
180	const auto neg_r = r.negate();	28✔
181	const auto neg_r2 = neg_r + neg_r;	28✔
182
183	const auto zero = r - r;	28✔
184	result.confirm("Computed EC_Scalar is zero", zero.is_zero());	56✔
185
186	const auto g2 = g.add(g);	28✔
187
188	const auto id = Botan::EC_AffinePoint::identity(group);	28✔
189
190	check_px_qy("0g + rid", g, zero, id, r);	28✔
191	check_px_qy("0id + rid", id, zero, id, r);	28✔
192	check_px_qy("0g + 0z", g, zero, z, zero);	28✔
193	check_px_qy("rg + -rg", g, r, g, neg_r);	28✔
194	check_px_qy("-rg + rg", g, neg_r, g, r);	28✔
195	check_px_qy("rg + r-g", g, r, g.negate(), r);	28✔
196	check_px_qy("rg2 + -r2g", g2, r, g, neg_r2);	28✔
197
198	results.push_back(result);	28✔
199	}	28✔
200
201	return results;	1✔
202	}	×
203	};
204
205	BOTAN_REGISTER_TEST("pubkey", "ecc_mul2_inf", ECC_Mul2_Inf_Tests);
206
207	class ECC_Point_Addition_Tests final : public Test {	×
208	public:
209	std::vector<Test::Result> run() override {	1✔
210	std::vector<Test::Result> results;	1✔
211
212	for(const auto& group_id : Botan::EC_Group::known_named_groups()) {	29✔
213	Test::Result result("ECC addition " + group_id);	28✔
214
215	const auto group = Botan::EC_Group::from_name(group_id);	28✔
216
217	const auto g = Botan::EC_AffinePoint::generator(group);	28✔
218	result.test_eq("g is not the identity element", g.is_identity(), false);	28✔
219
220	// Choose some other random point z
221	std::vector<Botan::BigInt> ws;	28✔
222	const auto z = g.mul(Botan::EC_Scalar::random(group, rng()), rng(), ws);	28✔
223	result.test_eq("z is not the identity element", z.is_identity(), false);	28✔
224
225	const auto id = Botan::EC_AffinePoint::identity(group);	28✔
226	result.test_eq("id is the identity element", id.is_identity(), true);	28✔
227
228	const auto g_bytes = g.serialize_uncompressed();	28✔
229
230	auto check_expr_is_g = [&](const char* msg, const Botan::EC_AffinePoint& pt) {	308✔
231	result.test_eq(Botan::fmt("{} is g", msg), pt.serialize_uncompressed(), g_bytes);	560✔
232	};	280✔
233
234	const auto nz = z.negate();	28✔
235
236	check_expr_is_g("g + id", g.add(id));	28✔
237	check_expr_is_g("id + g", id.add(g));	28✔
238	check_expr_is_g("g + id", g.add(id));	28✔
239	check_expr_is_g("g + -id", g.add(id.negate()));	28✔
240	check_expr_is_g("g + g + -g", g.add(g).add(g.negate()));	28✔
241	check_expr_is_g("-id + g", id.negate().add(g));	28✔
242	check_expr_is_g("z + g - z", z.add(g).add(nz));	28✔
243	check_expr_is_g("z - z + g", z.add(nz).add(g));	28✔
244	check_expr_is_g("z + z + g - z - z", z.add(z).add(g).add(nz).add(nz));	28✔
245	check_expr_is_g("z + id + g + z - z - z", z.add(id).add(g).add(z).add(nz).add(nz));	28✔
246
247	results.push_back(result);	28✔
248	}	56✔
249
250	return results;	1✔
251	}	×
252	};
253
254	BOTAN_REGISTER_TEST("pubkey", "ecc_pt_addition", ECC_Point_Addition_Tests);
255
256	class ECC_Scalar_Arithmetic_Tests final : public Test {	×
257	public:
258	std::vector<Test::Result> run() override {	1✔
259	std::vector<Test::Result> results;	1✔
260
261	auto& rng = Test::rng();	1✔
262
263	for(const auto& group_id : Botan::EC_Group::known_named_groups()) {	29✔
264	const auto group = Botan::EC_Group::from_name(group_id);	28✔
265
266	Test::Result result("ECC scalar arithmetic " + group_id);	28✔
267	test_scalar_arith(result, group, rng);	28✔
268	results.push_back(result);	28✔
269	}	28✔
270	return results;	1✔
271	}	×
272
273	private:
274	void test_scalar_arith(Test::Result& result,	28✔
275	const Botan::EC_Group& group,
276	Botan::RandomNumberGenerator& rng) const {
277	const auto one = Botan::EC_Scalar::one(group);	28✔
278	const auto zero = one - one;	28✔
279	const auto two = one + one;	28✔
280
281	const size_t order_bytes = group.get_order_bytes();	28✔
282
283	const auto ser_zero = std::vector<uint8_t>(order_bytes);	28✔
284
285	const auto ser_one = [=]() {	56✔
286	auto b = ser_zero;	28✔
287	BOTAN_ASSERT_NOMSG(b.size() > 1);	28✔
288	b[b.size() - 1] = 1;	28✔
289	return b;	28✔
290	}();	28✔
291
292	result.test_eq("Serialization of zero is expected value", zero.serialize(), ser_zero);	56✔
293	result.test_eq("Serialization of one is expected value", one.serialize(), ser_one);	56✔
294
295	result.test_eq("Zero is zero", zero.is_zero(), true);	28✔
296	result.test_eq("Negation of zero is zero", zero.negate().is_zero(), true);	56✔
297	result.test_eq("One is not zero", one.is_zero(), false);	28✔
298
299	// Zero inverse is not mathematically correct, but works out for our purposes
300	result.test_eq("Inverse of zero is zero", zero.invert().serialize(), ser_zero);	84✔
301	result.test_eq("Inverse of one is one", one.invert().serialize(), ser_one);	84✔
302
303	constexpr size_t test_iter = 128;	28✔
304
305	for(size_t i = 0; i != test_iter; ++i) {	3,612✔
306	const auto r = Botan::EC_Scalar::random(group, rng);	3,584✔
307
308	// Negation and addition are inverses
309	result.test_eq("r + -r == 0", (r + r.negate()).serialize(), ser_zero);	14,336✔
310
311	// Serialization and deserialization are inverses
312	const auto r_bytes = r.serialize();	3,584✔
313	result.test_eq("Deserialization of r round trips",	10,752✔
314	Botan::EC_Scalar::deserialize(group, r_bytes).value().serialize(),	10,752✔
315	r_bytes);
316
317	// Multiplication and inversion are inverses
318	const auto r2 = r * r;	3,584✔
319	const auto r_inv = r.invert();	3,584✔
320	result.test_eq("r * r^-1 = 1", (r * r_inv).serialize(), ser_one);	10,752✔
321	}	7,168✔
322
323	for(size_t i = 0; i != test_iter; ++i) {	3,612✔
324	const auto a = Botan::EC_Scalar::random(group, rng);	3,584✔
325	const auto b = Botan::EC_Scalar::random(group, rng);	3,584✔
326
327	const auto ab = a * b;	3,584✔
328	const auto a_inv = a.invert();	3,584✔
329	const auto b_inv = b.invert();	3,584✔
330
331	result.test_eq("a * b / b = a", (ab * b_inv).serialize(), a.serialize());	10,752✔
332	result.test_eq("a * b / a = b", (ab * a_inv).serialize(), b.serialize());	10,752✔
333
334	auto a_plus_b = a + b;	3,584✔
335	result.test_eq("(a + b) - b == a", (a_plus_b - b).serialize(), a.serialize());	10,752✔
336	result.test_eq("(a + b) - a == b", (a_plus_b - a).serialize(), b.serialize());	10,752✔
337	result.test_eq("b - (a + b) == -a", (b - a_plus_b).serialize(), a.negate().serialize());	14,336✔
338	result.test_eq("a - (a + b) == -b", (a - a_plus_b).serialize(), b.negate().serialize());	14,336✔
339	}	3,584✔
340
341	for(size_t i = 0; i != test_iter; ++i) {	3,612✔
342	const auto a = Botan::EC_Scalar::random(group, rng);	3,584✔
343	const auto b = Botan::EC_Scalar::random(group, rng);	3,584✔
344	const auto c = Botan::EC_Scalar::random(group, rng);	3,584✔
345
346	const auto ab_c = (a + b) * c;	3,584✔
347	const auto ac_bc = a * c + b * c;	3,584✔
348
349	result.test_eq("(a + b)c == a c + b * c", ab_c.serialize(), ac_bc.serialize());	10,752✔
350	}	3,584✔
351
352	for(size_t i = 0; i != test_iter; ++i) {	3,612✔
353	const auto a = Botan::EC_Scalar::random(group, rng);	3,584✔
354	const auto b = Botan::EC_Scalar::random(group, rng);	3,584✔
355	const auto c = a * b;	3,584✔
356
357	const auto c_bn = (a.to_bigint() * b.to_bigint());	7,168✔
358	result.test_eq("matches BigInt", c.serialize(), (c_bn % group.get_order()).serialize(order_bytes));	14,336✔
359
360	const auto c_wide_bytes = c_bn.serialize();	3,584✔
361	result.test_lte("Expected size", c_wide_bytes.size(), 2 * order_bytes);	3,584✔
362
363	const auto z = Botan::EC_Scalar::from_bytes_mod_order(group, c_wide_bytes);	3,584✔
364
365	result.test_eq("from_bytes_mod_order", c.serialize(), z.serialize());	10,752✔
366	}	10,752✔
367
368	for(size_t i = 0; i != test_iter; ++i) {	3,612✔
369	std::vector<uint8_t> r(2 * group.get_order_bytes());	3,584✔
370
371	rng.randomize(r);	3,584✔
372
373	const auto ref = Botan::BigInt::from_bytes(r) % group.get_order();	3,584✔
374
375	const auto scalar = Botan::EC_Scalar::from_bytes_mod_order(group, r);	3,584✔
376
377	result.test_eq("from_bytes_mod_order (random)", scalar.serialize(), ref.serialize(group.get_order_bytes()));	10,752✔
378	}	10,752✔
379
380	result.end_timer();	28✔
381	}	56✔
382	};
383
384	BOTAN_REGISTER_TEST("pubkey", "ecc_scalar_arith", ECC_Scalar_Arithmetic_Tests);
385
386	#endif
387
388	} // namespace
389
390	} // namespace Botan_Tests

randombit / botan / 12805544433

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