12800428018

Committed 16 Jan 2025 01:44AM UTC coverage: 91.191% (-0.003%) from 91.194%

Build # 12800428018

Build Type

Pull #4555

github

Committed by

web-flow

Commit Message

Merge 26491cefe into 52e0661e2

Pull Request Pull Request #4555: Remove the workspace argument to various ECC interfaces

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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);

   #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());
         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());
         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);

   #if defined(BOTAN_HAS_LEGACY_EC_POINT)
         std::vector<Botan::BigInt> ws;

         const Botan::EC_Point p1 = group.OS2ECP(p) * k;
         result.test_eq("EC_Point Montgomery ladder", p1.encode(Botan::EC_Point::Compressed), z);
   #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());
         result.test_eq("p * k (AffinePoint)", apt_k.serialize_compressed(), z);

         const auto apt_k_neg = apt.negate().mul(s_k.negate(), this->rng());
         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()).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:
            auto z = p.mul(x, rng()).add(q.mul(y, rng()));
            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
            const auto z = g.mul(Botan::EC_Scalar::random(group, rng()), rng());

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

randombit / botan / 12800428018

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