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randombit / botan / 22024756169

14 Feb 2026 09:44PM UTC coverage: 90.005% (+0.004%) from 90.001%
22024756169

Pull #5306

github

web-flow
Merge ccb22da31 into 07ae08ed0
Pull Request #5306: Allow unregistering EC Groups

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93.84
/src/tests/test_ec_group.cpp
1
/*
2
* (C) 2007 Falko Strenzke
3
*     2007 Manuel Hartl
4
*     2009,2015,2018,2021 Jack Lloyd
5
*
6
* Botan is released under the Simplified BSD License (see license.txt)
7
*/
8

9
#include "tests.h"
10

11
#if defined(BOTAN_HAS_ECC_GROUP)
12
   #include <botan/bigint.h>
13
   #include <botan/data_src.h>
14
   #include <botan/ec_group.h>
15
   #include <botan/hex.h>
16
   #include <botan/numthry.h>
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   #include <botan/pk_keys.h>
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   #include <botan/rng.h>
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   #include <botan/x509_key.h>
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   #include <botan/internal/barrett.h>
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   #include <botan/internal/ec_inner_data.h>
22
   #if defined(BOTAN_HAS_ECDSA)
23
      #include <botan/pk_algs.h>
24
   #endif
25
#endif
26

27
namespace Botan_Tests {
28

29
namespace {
30

31
#if defined(BOTAN_HAS_ECC_GROUP)
32

33
   #if defined(BOTAN_HAS_LEGACY_EC_POINT)
34

35
Botan::BigInt test_integer(Botan::RandomNumberGenerator& rng, size_t bits, const BigInt& max) {
560✔
36
   /*
37
   Produces integers with long runs of ones and zeros, for testing for
38
   carry handling problems.
39
   */
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   Botan::BigInt x = 0;
560✔
41

42
   auto flip_prob = [](size_t i) -> double {
154,040✔
43
      if(i % 64 == 0) {
153,480✔
44
         return .5;
45
      }
46
      if(i % 32 == 0) {
150,980✔
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         return .4;
48
      }
49
      if(i % 8 == 0) {
148,560✔
50
         return .05;
14,360✔
51
      }
52
      return .01;
53
   };
54

55
   bool active = (rng.next_byte() > 128) ? true : false;
560✔
56
   for(size_t i = 0; i != bits; ++i) {
154,040✔
57
      x <<= 1;
153,480✔
58
      x += static_cast<int>(active);
153,480✔
59

60
      const double prob = flip_prob(i);
153,480✔
61
      const double sample = double(rng.next_byte() % 100) / 100.0;  // biased
153,480✔
62

63
      if(sample < prob) {
153,480✔
64
         active = !active;
5,079✔
65
      }
66
   }
67

68
   if(x == 0) {
560✔
69
      // EC_Scalar rejects zero as an input, if we hit this case instead
70
      // test with a completely randomized scalar
71
      return BigInt::random_integer(rng, 1, max);
×
72
   }
73

74
   if(max > 0) {
560✔
75
      while(x >= max) {
635✔
76
         const size_t b = x.bits() - 1;
75✔
77
         BOTAN_ASSERT(x.get_bit(b) == true, "Set");
150✔
78
         x.clear_bit(b);
75✔
79
      }
80
   }
81

82
   return x;
560✔
83
}
560✔
84

85
Botan::EC_Point create_random_point(Botan::RandomNumberGenerator& rng, const Botan::EC_Group& group) {
112✔
86
   const Botan::BigInt& p = group.get_p();
112✔
87
   auto mod_p = Botan::Barrett_Reduction::for_public_modulus(p);
112✔
88

89
   for(;;) {
114✔
90
      const Botan::BigInt x = Botan::BigInt::random_integer(rng, 1, p);
226✔
91
      const Botan::BigInt x3 = mod_p.multiply(x, mod_p.square(x));
226✔
92
      const Botan::BigInt ax = mod_p.multiply(group.get_a(), x);
226✔
93
      const Botan::BigInt y = mod_p.reduce(x3 + ax + group.get_b());
226✔
94
      const Botan::BigInt sqrt_y = Botan::sqrt_modulo_prime(y, p);
226✔
95

96
      if(sqrt_y > 1) {
226✔
97
         BOTAN_ASSERT_EQUAL(mod_p.square(sqrt_y), y, "Square root is correct");
224✔
98
         return group.point(x, sqrt_y);
112✔
99
      }
100
   }
226✔
101
}
112✔
102

103
class ECC_Randomized_Tests final : public Test {
1✔
104
   public:
105
      std::vector<Test::Result> run() override;
106
};
107

108
std::vector<Test::Result> ECC_Randomized_Tests::run() {
1✔
109
   std::vector<Test::Result> results;
1✔
110
   for(const std::string& group_name : Botan::EC_Group::known_named_groups()) {
29✔
111
      Test::Result result("ECC randomized " + group_name);
28✔
112

113
      result.start_timer();
28✔
114

115
      auto group = Botan::EC_Group::from_name(group_name);
28✔
116

117
      const Botan::EC_Point pt = create_random_point(this->rng(), group);
28✔
118

119
      try {
28✔
120
         std::vector<Botan::BigInt> blind_ws;
28✔
121
         const size_t trials = (Test::run_long_tests() ? 10 : 3);
28✔
122
         for(size_t i = 0; i < trials; ++i) {
308✔
123
            const Botan::BigInt a = test_integer(rng(), group.get_order_bits(), group.get_order());
280✔
124
            const Botan::BigInt b = test_integer(rng(), group.get_order_bits(), group.get_order());
280✔
125
            const Botan::BigInt c = group.mod_order(a + b);
280✔
126

127
            const Botan::EC_Point P = pt * a;
280✔
128
            const Botan::EC_Point Q = pt * b;
280✔
129
            const Botan::EC_Point R = pt * c;
280✔
130

131
            Botan::EC_Point P1 = group.blinded_var_point_multiply(pt, a, this->rng(), blind_ws);
280✔
132
            Botan::EC_Point Q1 = group.blinded_var_point_multiply(pt, b, this->rng(), blind_ws);
280✔
133
            Botan::EC_Point R1 = group.blinded_var_point_multiply(pt, c, this->rng(), blind_ws);
280✔
134

135
            Botan::EC_Point A1 = P + Q;
280✔
136
            Botan::EC_Point A2 = Q + P;
280✔
137

138
            result.test_eq("p + q", A1, R);
280✔
139
            result.test_eq("q + p", A2, R);
280✔
140

141
            A1.force_affine();
280✔
142
            A2.force_affine();
280✔
143
            result.test_eq("p + q", A1, R);
280✔
144
            result.test_eq("q + p", A2, R);
280✔
145

146
            result.test_is_true("p on the curve", P.on_the_curve());
280✔
147
            result.test_is_true("q on the curve", Q.on_the_curve());
280✔
148
            result.test_is_true("r on the curve", R.on_the_curve());
280✔
149

150
            result.test_eq("P1", P1, P);
280✔
151
            result.test_eq("Q1", Q1, Q);
280✔
152
            result.test_eq("R1", R1, R);
280✔
153

154
            P1.force_affine();
280✔
155
            Q1.force_affine();
280✔
156
            R1.force_affine();
280✔
157
            result.test_eq("P1", P1, P);
280✔
158
            result.test_eq("Q1", Q1, Q);
280✔
159
            result.test_eq("R1", R1, R);
280✔
160
         }
280✔
161
      } catch(std::exception& e) {
28✔
162
         result.test_failure(group_name, e.what());
×
163
      }
×
164
      result.end_timer();
28✔
165
      results.push_back(result);
28✔
166
   }
28✔
167

168
   return results;
1✔
169
}
×
170

171
BOTAN_REGISTER_TEST("pubkey", "ecc_randomized", ECC_Randomized_Tests);
172

173
   #endif
174

175
class EC_Group_Tests : public Test {
1✔
176
   public:
177
      std::vector<Test::Result> run() override {
1✔
178
         std::vector<Test::Result> results;
1✔
179

180
         for(const std::string& group_name : Botan::EC_Group::known_named_groups()) {
29✔
181
            Test::Result result("EC_Group " + group_name);
28✔
182

183
            result.start_timer();
28✔
184

185
            const auto group = Botan::EC_Group::from_name(group_name);
28✔
186

187
            result.test_is_true("EC_Group is known", group.get_curve_oid().has_value());
28✔
188
            result.test_is_true("EC_Group is considered valid", group.verify_group(this->rng(), true));
28✔
189
            result.test_is_true("EC_Group is not considered explicit encoding", !group.used_explicit_encoding());
28✔
190

191
            result.test_sz_eq("EC_Group has correct bit size", group.get_p().bits(), group.get_p_bits());
28✔
192
            result.test_sz_eq("EC_Group has byte size", group.get_p().bytes(), group.get_p_bytes());
28✔
193

194
            result.test_eq("EC_Group has cofactor == 1", group.get_cofactor(), 1);
28✔
195

196
            const Botan::OID from_order = Botan::EC_Group::EC_group_identity_from_order(group.get_order());
28✔
197

198
            result.test_eq(
28✔
199
               "EC_group_identity_from_order works", from_order.to_string(), group.get_curve_oid().to_string());
56✔
200

201
            result.test_is_true("Same group is same", group == Botan::EC_Group::from_name(group_name));
28✔
202

203
            try {
28✔
204
               const Botan::EC_Group copy(group.get_curve_oid(),
28✔
205
                                          group.get_p(),
206
                                          group.get_a(),
207
                                          group.get_b(),
208
                                          group.get_g_x(),
209
                                          group.get_g_y(),
210
                                          group.get_order());
28✔
211

212
               result.test_is_true("Same group is same even with copy", group == copy);
20✔
213
            } catch(Botan::Invalid_Argument&) {}
28✔
214

215
            const auto group_der_oid = group.DER_encode();
28✔
216
            const Botan::EC_Group group_via_oid(group_der_oid);
28✔
217
            result.test_is_true("EC_Group via OID is not considered explicit encoding",
28✔
218
                                !group_via_oid.used_explicit_encoding());
28✔
219

220
            const auto group_der_explicit = group.DER_encode(Botan::EC_Group_Encoding::Explicit);
28✔
221
            const Botan::EC_Group group_via_explicit(group_der_explicit);
28✔
222
            result.test_is_true("EC_Group via explicit DER is considered explicit encoding",
28✔
223
                                group_via_explicit.used_explicit_encoding());
28✔
224

225
            if(group.a_is_minus_3()) {
28✔
226
               result.test_eq("Group A equals -3", group.get_a(), group.get_p() - 3);
17✔
227
            } else {
228
               result.test_ne("Group " + group_name + " A does not equal -3", group.get_a(), group.get_p() - 3);
33✔
229
            }
230

231
            if(group.a_is_zero()) {
28✔
232
               result.test_eq("Group A is zero", group.get_a(), BigInt(0));
4✔
233
            } else {
234
               result.test_ne("Group " + group_name + " A does not equal zero", group.get_a(), BigInt(0));
72✔
235
            }
236

237
   #if defined(BOTAN_HAS_LEGACY_EC_POINT)
238
            const auto pt_mult_by_order = group.get_base_point() * group.get_order();
28✔
239
            result.test_is_true("Multiplying point by the order results in zero point", pt_mult_by_order.is_zero());
28✔
240

241
            // get a valid point
242
            Botan::EC_Point p = group.get_base_point() * this->rng().next_nonzero_byte();
28✔
243

244
            // get a copy
245
            Botan::EC_Point q = p;
28✔
246

247
            p.randomize_repr(this->rng());
28✔
248
            q.randomize_repr(this->rng());
28✔
249

250
            result.test_eq("affine x after copy", p.get_affine_x(), q.get_affine_x());
28✔
251
            result.test_eq("affine y after copy", p.get_affine_y(), q.get_affine_y());
28✔
252

253
            q.force_affine();
28✔
254

255
            result.test_eq("affine x after copy", p.get_affine_x(), q.get_affine_x());
28✔
256
            result.test_eq("affine y after copy", p.get_affine_y(), q.get_affine_y());
28✔
257

258
            test_ser_der(result, group);
28✔
259
            test_basic_math(result, group);
28✔
260
            test_point_swap(result, group);
28✔
261
            test_zeropoint(result, group);
28✔
262
   #endif
263

264
            result.end_timer();
28✔
265

266
            results.push_back(result);
28✔
267
         }
84✔
268

269
         return results;
1✔
270
      }
×
271

272
   private:
273
   #if defined(BOTAN_HAS_LEGACY_EC_POINT)
274

275
      void test_ser_der(Test::Result& result, const Botan::EC_Group& group) {
28✔
276
         // generate point
277
         const Botan::EC_Point pt = create_random_point(this->rng(), group);
28✔
278
         const Botan::EC_Point zero = group.zero_point();
28✔
279

280
         for(auto scheme : {Botan::EC_Point_Format::Uncompressed,
84✔
281
                            Botan::EC_Point_Format::Compressed,
282
                            Botan::EC_Point_Format::Hybrid}) {
112✔
283
            try {
84✔
284
               result.test_eq("encoded/decode rt works", group.OS2ECP(pt.encode(scheme)), pt);
168✔
285
            } catch(Botan::Exception& e) {
×
286
               result.test_failure("Failed to round trip encode a random point", e.what());
×
287
            }
×
288

289
            try {
84✔
290
               result.test_eq("encoded/decode rt works", group.OS2ECP(zero.encode(scheme)), zero);
168✔
291
            } catch(Botan::Exception& e) {
×
292
               result.test_failure("Failed to round trip encode a random point", e.what());
×
293
            }
×
294
         }
295
      }
28✔
296

297
      static void test_basic_math(Test::Result& result, const Botan::EC_Group& group) {
28✔
298
         const Botan::EC_Point& G = group.get_base_point();
28✔
299

300
         Botan::EC_Point p1 = G * 2;
56✔
301
         p1 += G;
28✔
302

303
         result.test_eq("point addition", p1, G * 3);
56✔
304

305
         p1 -= G * 2;
56✔
306

307
         result.test_eq("point subtraction", p1, G);
28✔
308

309
         // The scalar multiplication algorithm relies on this being true:
310
         try {
28✔
311
            const Botan::EC_Point zero_coords = group.point(0, 0);
56✔
312
            result.test_is_true("point (0,0) is not on the curve", !zero_coords.on_the_curve());
×
313
         } catch(Botan::Exception&) {
28✔
314
            result.test_success("point (0,0) is rejected");
28✔
315
         }
28✔
316
      }
28✔
317

318
      void test_point_swap(Test::Result& result, const Botan::EC_Group& group) {
28✔
319
         const Botan::EC_Point a(create_random_point(this->rng(), group));
28✔
320
         Botan::EC_Point b(create_random_point(this->rng(), group));
28✔
321
         b *= Botan::BigInt(this->rng(), 20);
28✔
322

323
         Botan::EC_Point c(a);
28✔
324
         Botan::EC_Point d(b);
28✔
325

326
         d.swap(c);
28✔
327
         result.test_eq("swap correct", a, d);
28✔
328
         result.test_eq("swap correct", b, c);
28✔
329
      }
28✔
330

331
      static void test_zeropoint(Test::Result& result, const Botan::EC_Group& group) {
28✔
332
         Botan::EC_Point zero = group.zero_point();
28✔
333

334
         result.test_throws("Zero point throws", "Cannot convert zero point to affine", [&]() { zero.get_affine_x(); });
56✔
335
         result.test_throws("Zero point throws", "Cannot convert zero point to affine", [&]() { zero.get_affine_y(); });
56✔
336

337
         const Botan::EC_Point p1 = group.get_base_point() * 2;
28✔
338

339
         result.test_is_true("point is on the curve", p1.on_the_curve());
28✔
340
         result.test_is_true("point is not zero", !p1.is_zero());
28✔
341

342
         Botan::EC_Point p2 = p1;
28✔
343
         p2 -= p1;
28✔
344

345
         result.test_is_true("p - q with q = p results in zero", p2.is_zero());
28✔
346

347
         const Botan::EC_Point minus_p1 = -p1;
28✔
348
         result.test_is_true("point is on the curve", minus_p1.on_the_curve());
28✔
349
         const Botan::EC_Point shouldBeZero = p1 + minus_p1;
28✔
350
         result.test_is_true("point is on the curve", shouldBeZero.on_the_curve());
28✔
351
         result.test_is_true("point is zero", shouldBeZero.is_zero());
28✔
352

353
         result.test_eq("minus point x", minus_p1.get_affine_x(), p1.get_affine_x());
28✔
354
         result.test_eq("minus point y", minus_p1.get_affine_y(), group.get_p() - p1.get_affine_y());
28✔
355

356
         result.test_is_true("zero point is zero", zero.is_zero());
28✔
357
         result.test_is_true("zero point is on the curve", zero.on_the_curve());
28✔
358
         result.test_eq("addition of zero does nothing", p1, p1 + zero);
28✔
359
         result.test_eq("addition of zero does nothing", p1, zero + p1);
28✔
360
         result.test_eq("addition of zero does nothing", p1, p1 - zero);
28✔
361
         result.test_is_true("zero times anything is the zero point", (zero * 39193).is_zero());
56✔
362

363
         for(auto scheme : {Botan::EC_Point_Format::Uncompressed,
196✔
364
                            Botan::EC_Point_Format::Compressed,
365
                            Botan::EC_Point_Format::Hybrid}) {
112✔
366
            const std::vector<uint8_t> v = zero.encode(scheme);
84✔
367
            result.test_eq("encoded/decode rt works", group.OS2ECP(v), zero);
84✔
368
         }
84✔
369
      }
28✔
370
   #endif
371
};
372

373
BOTAN_REGISTER_TEST("pubkey", "ec_group", EC_Group_Tests);
374

375
Test::Result test_decoding_with_seed() {
1✔
376
   Test::Result result("Decode EC_Group with seed");
1✔
377

378
   try {
1✔
379
      if(Botan::EC_Group::supports_named_group("secp384r1")) {
1✔
380
         const auto secp384r1 = Botan::EC_Group::from_name("secp384r1");
1✔
381
         const auto secp384r1_with_seed =
1✔
382
            Botan::EC_Group::from_PEM(Test::read_data_file("x509/ecc/secp384r1_seed.pem"));
2✔
383
         result.test_is_true("decoding worked", secp384r1_with_seed.initialized());
1✔
384
         result.test_eq("P-384 prime", secp384r1_with_seed.get_p(), secp384r1.get_p());
1✔
385
      }
1✔
386
   } catch(Botan::Exception& e) {
×
387
      result.test_failure(e.what());
×
388
   }
×
389

390
   return result;
1✔
391
}
×
392

393
Test::Result test_mixed_points() {
1✔
394
   Test::Result result("Mixed Point Arithmetic");
1✔
395

396
   if(Botan::EC_Group::supports_named_group("secp256r1") && Botan::EC_Group::supports_named_group("secp384r1")) {
1✔
397
      const auto secp256r1 = Botan::EC_Group::from_name("secp256r1");
1✔
398
      const auto secp384r1 = Botan::EC_Group::from_name("secp384r1");
1✔
399

400
   #if defined(BOTAN_HAS_LEGACY_EC_POINT)
401
      const Botan::EC_Point& G256 = secp256r1.get_base_point();
1✔
402
      const Botan::EC_Point& G384 = secp384r1.get_base_point();
1✔
403

404
      result.test_throws("Mixing points from different groups", [&] { const Botan::EC_Point p = G256 + G384; });
2✔
405
   #endif
406

407
      const auto p1 = Botan::EC_AffinePoint::generator(secp256r1);
1✔
408
      const auto p2 = Botan::EC_AffinePoint::generator(secp384r1);
1✔
409
      result.test_throws("Mixing points from different groups", [&] { auto p3 = p1.add(p2); });
2✔
410
   }
1✔
411

412
   return result;
1✔
413
}
×
414

415
class ECC_Unit_Tests final : public Test {
1✔
416
   public:
417
      std::vector<Test::Result> run() override {
1✔
418
         std::vector<Test::Result> results;
1✔
419

420
         results.push_back(test_decoding_with_seed());
2✔
421
         results.push_back(test_mixed_points());
2✔
422

423
         return results;
1✔
424
      }
×
425
};
426

427
BOTAN_REGISTER_TEST("pubkey", "ecc_unit", ECC_Unit_Tests);
428

429
class EC_Group_Registration_Tests final : public Test {
1✔
430
   public:
431
      std::vector<Test::Result> run() override {
1✔
432
         std::vector<Test::Result> results;
1✔
433

434
         if(Botan::EC_Group::supports_application_specific_group()) {
1✔
435
            results.push_back(test_ecc_registration());
2✔
436
            results.push_back(test_ec_group_from_params());
2✔
437
            results.push_back(test_ec_group_bad_registration());
2✔
438
            results.push_back(test_ec_group_duplicate_orders());
2✔
439
            results.push_back(test_ec_group_registration_with_custom_oid());
2✔
440
            results.push_back(test_ec_group_unregistration());
2✔
441
         }
442

443
         return results;
1✔
444
      }
×
445

446
   private:
447
      Test::Result test_ecc_registration() {
1✔
448
         Test::Result result("ECC registration");
1✔
449

450
         // numsp256d1
451
         const Botan::BigInt p("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF43");
1✔
452
         const Botan::BigInt a("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF40");
1✔
453
         const Botan::BigInt b("0x25581");
1✔
454
         const Botan::BigInt order("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE43C8275EA265C6020AB20294751A825");
1✔
455

456
         const Botan::BigInt g_x("0x01");
1✔
457
         const Botan::BigInt g_y("0x696F1853C1E466D7FC82C96CCEEEDD6BD02C2F9375894EC10BF46306C2B56C77");
1✔
458

459
         const Botan::OID oid("1.3.6.1.4.1.25258.4.1");
1✔
460

461
         // Creating this object implicitly registers the curve for future use ...
462
         const Botan::EC_Group reg_group(oid, p, a, b, g_x, g_y, order);
1✔
463

464
         auto group = Botan::EC_Group::from_OID(oid);
1✔
465

466
         result.test_eq("Group registration worked", group.get_p(), p);
1✔
467

468
         // TODO(Botan4) this could change to == Generic
469
         result.test_is_true("Group is not pcurve", group.engine() != Botan::EC_Group_Engine::Optimized);
1✔
470

471
         return result;
1✔
472
      }
1✔
473

474
      Test::Result test_ec_group_from_params() {
1✔
475
         Test::Result result("EC_Group from params");
1✔
476

477
         Botan::EC_Group::clear_registered_curve_data();
1✔
478

479
         // secp256r1
480
         const Botan::BigInt p("0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF");
1✔
481
         const Botan::BigInt a("0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC");
1✔
482
         const Botan::BigInt b("0x5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B");
1✔
483

484
         const Botan::BigInt g_x("0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296");
1✔
485
         const Botan::BigInt g_y("0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5");
1✔
486
         const Botan::BigInt order("0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551");
1✔
487

488
         const Botan::OID oid("1.2.840.10045.3.1.7");
1✔
489

490
         // This uses the deprecated constructor to verify we dedup even without an OID
491
         // This whole test can be removed once explicit curve support is removed
492
         const Botan::EC_Group reg_group(p, a, b, g_x, g_y, order, 1);
1✔
493
         result.test_is_true("Group has correct OID", reg_group.get_curve_oid() == oid);
1✔
494

495
         return result;
1✔
496
      }
1✔
497

498
      Test::Result test_ec_group_bad_registration() {
1✔
499
         Test::Result result("EC_Group registering non-match");
1✔
500

501
         Botan::EC_Group::clear_registered_curve_data();
1✔
502

503
         // secp256r1 params except with a bad B param
504
         const Botan::BigInt p("0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF");
1✔
505
         const Botan::BigInt a("0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC");
1✔
506
         const Botan::BigInt b("0x5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604C");
1✔
507

508
         const Botan::BigInt g_x("0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296");
1✔
509
         const Botan::BigInt g_y("0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5");
1✔
510
         const Botan::BigInt order("0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551");
1✔
511

512
         const Botan::OID oid("1.2.840.10045.3.1.7");
1✔
513

514
         try {
1✔
515
            const Botan::EC_Group reg_group(oid, p, a, b, g_x, g_y, order);
1✔
516
            result.test_failure("Should have failed");
×
517
         } catch(Botan::Invalid_Argument&) {
1✔
518
            result.test_success("Got expected exception");
1✔
519
         }
1✔
520

521
         return result;
2✔
522
      }
1✔
523

524
      Test::Result test_ec_group_duplicate_orders() {
1✔
525
         Test::Result result("EC_Group with duplicate group order");
1✔
526

527
         Botan::EC_Group::clear_registered_curve_data();
1✔
528

529
         // secp256r1
530
         const Botan::BigInt p("0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF");
1✔
531
         const Botan::BigInt a("0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC");
1✔
532
         const Botan::BigInt b("0x5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B");
1✔
533

534
         const Botan::BigInt g_x("0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296");
1✔
535
         const Botan::BigInt g_y("0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5");
1✔
536
         const Botan::BigInt order("0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551");
1✔
537

538
         const Botan::OID oid("1.3.6.1.4.1.25258.100.0");  // some other random OID
1✔
539

540
         const Botan::EC_Group reg_group(oid, p, a, b, g_x, g_y, order);
1✔
541
         result.test_success("Registration success");
1✔
542
         result.test_is_true("Group has correct OID", reg_group.get_curve_oid() == oid);
1✔
543

544
         // We can now get it by OID:
545
         const auto hc_group = Botan::EC_Group::from_OID(oid);
1✔
546
         result.test_is_true("Group has correct OID", hc_group.get_curve_oid() == oid);
1✔
547

548
         // Existing secp256r1 unmodified:
549
         const Botan::OID secp160r1("1.2.840.10045.3.1.7");
1✔
550
         const auto other_group = Botan::EC_Group::from_OID(secp160r1);
1✔
551
         result.test_is_true("Group has correct OID", other_group.get_curve_oid() == secp160r1);
1✔
552

553
         return result;
1✔
554
      }
1✔
555

556
      Test::Result test_ec_group_registration_with_custom_oid() {
1✔
557
         Test::Result result("EC_Group registration of standard group with custom OID");
1✔
558

559
         Botan::EC_Group::clear_registered_curve_data();
1✔
560

561
         const Botan::OID secp256r1_oid("1.2.840.10045.3.1.7");
1✔
562
         const auto secp256r1 = Botan::EC_Group::from_OID(secp256r1_oid);
1✔
563
         result.test_is_true("Group has correct OID", secp256r1.get_curve_oid() == secp256r1_oid);
1✔
564

565
         const Botan::OID custom_oid("1.3.6.1.4.1.25258.100.99");  // some other random OID
1✔
566

567
         Botan::OID::register_oid(custom_oid, "secp256r1");
1✔
568

569
         const Botan::EC_Group reg_group(custom_oid,
1✔
570
                                         secp256r1.get_p(),
571
                                         secp256r1.get_a(),
572
                                         secp256r1.get_b(),
573
                                         secp256r1.get_g_x(),
574
                                         secp256r1.get_g_y(),
575
                                         secp256r1.get_order());
1✔
576

577
         result.test_success("Registration success");
1✔
578
         result.test_is_true("Group has correct OID", reg_group.get_curve_oid() == custom_oid);
1✔
579

580
         // We can now get it by OID:
581
         result.test_is_true("Group has correct OID",
1✔
582
                             Botan::EC_Group::from_OID(custom_oid).get_curve_oid() == custom_oid);
1✔
583

584
         // In the current data model of EC_Group there is a 1:1 OID:group, so these
585
         // have distinct underlying data
586
         result.test_is_true("Groups have different inner data pointers", reg_group._data() != secp256r1._data());
1✔
587

588
   #if defined(BOTAN_HAS_PCURVES_SECP256R1)
589
         // However we should have gotten a pcurves out of the deal *and* it
590
         // should be the exact same shared_ptr as the official curve
591

592
         result.test_is_true("Group is pcurves based", reg_group.engine() == Botan::EC_Group_Engine::Optimized);
1✔
593

594
         try {
1✔
595
            const auto& pcurve = reg_group._data()->pcurve();
1✔
596
            result.test_is_true("Group with custom OID got the same pcurve pointer",
1✔
597
                                &pcurve == &secp256r1._data()->pcurve());
1✔
598
         } catch(...) {
×
599
            result.test_failure("Group with custom OID did not get a pcurve pointer");
×
600
         }
×
601
   #endif
602

603
         return result;
2✔
604
      }
1✔
605

606
      Test::Result test_ec_group_unregistration() {
1✔
607
         Test::Result result("EC_Group unregistration of group");
1✔
608

609
         Botan::EC_Group::clear_registered_curve_data();
1✔
610

611
         const Botan::OID secp256r1_oid("1.2.840.10045.3.1.7");
1✔
612
         const auto secp256r1 = Botan::EC_Group::from_OID(secp256r1_oid);
1✔
613
         const Botan::OID custom_oid("1.3.6.1.4.1.25258.100.99");
1✔
614
         Botan::OID::register_oid(custom_oid, "secp256r1");
1✔
615

616
         const Botan::EC_Group reg_group(custom_oid,
1✔
617
                                         secp256r1.get_p(),
618
                                         secp256r1.get_a(),
619
                                         secp256r1.get_b(),
620
                                         secp256r1.get_g_x(),
621
                                         secp256r1.get_g_y(),
622
                                         secp256r1.get_order());
1✔
623

624
         result.test_is_true("Internal group is unregistered", Botan::EC_Group::unregister(secp256r1_oid));
1✔
625
         result.test_is_false("Unregistering internal group again does nothing",
1✔
626
                              Botan::EC_Group::unregister(secp256r1_oid));
1✔
627
         result.test_is_true("User defined group is unregistered", Botan::EC_Group::unregister(custom_oid));
1✔
628
         result.test_is_false("Unregistering user defined group again does nothing",
1✔
629
                              Botan::EC_Group::unregister(custom_oid));
1✔
630

631
         result.test_is_true("Group can still be accessed", reg_group.get_curve_oid() == custom_oid);
1✔
632
         result.test_is_true("Group has correct p parameter", reg_group.get_p() == secp256r1.get_p());
1✔
633
         result.test_is_true("Group has correct a parameter", reg_group.get_a() == secp256r1.get_a());
1✔
634
         result.test_is_true("Group has correct b parameter", reg_group.get_b() == secp256r1.get_b());
1✔
635
         result.test_is_true("Group has correct g_x parameter", reg_group.get_g_x() == secp256r1.get_g_x());
1✔
636
         result.test_is_true("Group has correct g_y parameter", reg_group.get_g_y() == secp256r1.get_g_y());
1✔
637
         result.test_is_true("Group has correct order parameter", reg_group.get_order() == secp256r1.get_order());
1✔
638

639
   #if defined(BOTAN_HAS_ECDSA)
640
         std::unique_ptr<Botan::RandomNumberGenerator> rng = Test::new_rng("test_ec_group_unregistration");
1✔
641
         std::unique_ptr<Botan::Private_Key> key = Botan::create_ec_private_key("ECDSA", reg_group, *rng);
1✔
642
         result.test_success("Can still create use group");
1✔
643
         result.test_is_true("Key was created correctly", key->check_key(*rng, true));
1✔
644
   #endif
645

646
         try {
1✔
647
            const Botan::OID empty_oid("");
1✔
648
            Botan::EC_Group::unregister(empty_oid);
1✔
649
            result.test_failure("Should have failed");
1✔
650
         } catch(Botan::Invalid_Argument&) {
1✔
651
            result.test_success("Got expected exception");
1✔
652
         }
1✔
653

654
         return result;
1✔
655
      }
2✔
656
};
657

658
BOTAN_REGISTER_SERIALIZED_TEST("pubkey", "ec_group_registration", EC_Group_Registration_Tests);
659

660
class EC_PointEnc_Tests final : public Test {
1✔
661
   public:
662
      std::vector<Test::Result> run() override {
1✔
663
         std::vector<Test::Result> results;
1✔
664

665
         auto& rng = Test::rng();
1✔
666

667
         for(const auto& group_id : Botan::EC_Group::known_named_groups()) {
29✔
668
            const auto group = Botan::EC_Group::from_name(group_id);
28✔
669

670
            Result result("EC_AffinePoint encoding " + group_id);
28✔
671

672
            result.start_timer();
28✔
673

674
            for(size_t trial = 0; trial != 100; ++trial) {
2,828✔
675
               const auto scalar = Botan::EC_Scalar::random(group, rng);
2,800✔
676
               const auto pt = Botan::EC_AffinePoint::g_mul(scalar, rng);
2,800✔
677

678
               const auto pt_u = pt.serialize_uncompressed();
2,800✔
679
               result.test_u8_eq("Expected uncompressed header", pt_u[0], 0x04);
2,800✔
680
               const size_t fe_bytes = (pt_u.size() - 1) / 2;
2,800✔
681
               const auto pt_c = pt.serialize_compressed();
2,800✔
682

683
               result.test_sz_eq("Expected compressed size", pt_c.size(), 1 + fe_bytes);
2,800✔
684
               const uint8_t expected_c_header = (pt_u[pt_u.size() - 1] % 2 == 0) ? 0x02 : 0x03;
2,800✔
685
               result.test_is_true("Expected compressed header", pt_c[0] == expected_c_header);
2,800✔
686

687
               result.test_eq(
2,800✔
688
                  "Expected compressed x", std::span{pt_c}.subspan(1), std::span{pt_u}.subspan(1, fe_bytes));
689

690
               if(auto d_pt_u = Botan::EC_AffinePoint::deserialize(group, pt_u)) {
2,800✔
691
                  result.test_eq(
2,800✔
692
                     "Deserializing uncompressed returned correct point", d_pt_u->serialize_uncompressed(), pt_u);
5,600✔
693
               } else {
694
                  result.test_failure("Failed to deserialize uncompressed point");
×
695
               }
×
696

697
               if(auto d_pt_c = Botan::EC_AffinePoint::deserialize(group, pt_c)) {
2,800✔
698
                  result.test_eq(
2,800✔
699
                     "Deserializing compressed returned correct point", d_pt_c->serialize_uncompressed(), pt_u);
5,600✔
700
               } else {
701
                  result.test_failure("Failed to deserialize compressed point");
×
702
               }
×
703

704
               const auto neg_pt_c = [&]() {
2,800✔
705
                  auto x = pt_c;
2,800✔
706
                  x[0] ^= 0x01;
2,800✔
707
                  return x;
2,800✔
708
               }();
2,800✔
709

710
               if(auto d_neg_pt_c = Botan::EC_AffinePoint::deserialize(group, neg_pt_c)) {
2,800✔
711
                  result.test_eq("Deserializing compressed with inverted header returned negated point",
2,800✔
712
                                 d_neg_pt_c->serialize_uncompressed(),
5,600✔
713
                                 pt.negate().serialize_uncompressed());
5,600✔
714
               } else {
715
                  result.test_failure("Failed to deserialize compressed point");
×
716
               }
2,800✔
717
            }
2,800✔
718

719
            result.end_timer();
28✔
720

721
            results.push_back(result);
28✔
722
         }
28✔
723

724
         return results;
1✔
725
      }
2,800✔
726
};
727

728
BOTAN_REGISTER_TEST("pubkey", "ec_point_enc", EC_PointEnc_Tests);
729

730
class EC_Point_Arithmetic_Tests final : public Test {
1✔
731
   public:
732
      std::vector<Test::Result> run() override {
1✔
733
         std::vector<Test::Result> results;
1✔
734

735
         auto& rng = Test::rng();
1✔
736

737
         for(const auto& group_id : Botan::EC_Group::known_named_groups()) {
29✔
738
            const auto group = Botan::EC_Group::from_name(group_id);
28✔
739

740
            Result result("EC_AffinePoint arithmetic " + group_id);
28✔
741

742
            result.start_timer();
28✔
743

744
            const auto one = Botan::EC_Scalar::one(group);
28✔
745
            const auto zero = one - one;  // NOLINT(*-redundant-expression)
28✔
746
            const auto g = Botan::EC_AffinePoint::generator(group);
28✔
747
            const auto g_bytes = g.serialize_uncompressed();
28✔
748

749
            const auto id = Botan::EC_AffinePoint::g_mul(zero, rng);
28✔
750
            result.test_is_true("g*zero is point at identity", id.is_identity());
28✔
751

752
            const auto id2 = id.add(id);
28✔
753
            result.test_is_true("identity plus itself is identity", id2.is_identity());
28✔
754

755
            const auto g_one = Botan::EC_AffinePoint::g_mul(one, rng);
28✔
756
            result.test_eq("g*one == generator", g_one.serialize_uncompressed(), g_bytes);
28✔
757

758
            const auto g_plus_id = g_one.add(id);
28✔
759
            result.test_eq("g + id == g", g_plus_id.serialize_uncompressed(), g_bytes);
28✔
760

761
            const auto id_plus_g = id.add(g_one);
28✔
762
            result.test_eq("id + g == g", id_plus_g.serialize_uncompressed(), g_bytes);
28✔
763

764
            const auto g_neg_one = Botan::EC_AffinePoint::g_mul(one.negate(), rng);
28✔
765

766
            const auto id_from_g = g_one.add(g_neg_one);
28✔
767
            result.test_is_true("g - g is identity", id_from_g.is_identity());
28✔
768

769
            const auto g_two = Botan::EC_AffinePoint::g_mul(one + one, rng);
28✔
770
            const auto g_plus_g = g_one.add(g_one);
28✔
771
            result.test_eq("2*g == g+g", g_two.serialize_uncompressed(), g_plus_g.serialize_uncompressed());
56✔
772

773
            result.test_is_true("Scalar::zero is zero", zero.is_zero());
28✔
774
            result.test_is_true("(zero+zero) is zero", (zero + zero).is_zero());
28✔
775
            result.test_is_true("(zero*zero) is zero", (zero * zero).is_zero());
28✔
776
            result.test_is_true("(zero-zero) is zero", (zero - zero).is_zero());  // NOLINT(*-redundant-expression)
28✔
777

778
            const auto neg_zero = zero.negate();
28✔
779
            result.test_is_true("zero.negate() is zero", neg_zero.is_zero());
28✔
780

781
            result.test_is_true("(zero+nz) is zero", (zero + neg_zero).is_zero());
28✔
782
            result.test_is_true("(nz+nz) is zero", (neg_zero + neg_zero).is_zero());
28✔
783
            result.test_is_true("(nz+zero) is zero", (neg_zero + zero).is_zero());
28✔
784

785
            result.test_is_true("Scalar::one is not zero", !one.is_zero());
28✔
786
            result.test_is_true("(one-one) is zero", (one - one).is_zero());  // NOLINT(*-redundant-expression)
28✔
787
            result.test_is_true("(one+one.negate()) is zero", (one + one.negate()).is_zero());
56✔
788
            result.test_is_true("(one.negate()+one) is zero", (one.negate() + one).is_zero());
56✔
789

790
            for(size_t i = 0; i != 16; ++i) {
476✔
791
               const auto pt = Botan::EC_AffinePoint::g_mul(Botan::EC_Scalar::random(group, rng), rng);
448✔
792

793
               const auto a = Botan::EC_Scalar::random(group, rng);
448✔
794
               const auto b = Botan::EC_Scalar::random(group, rng);
448✔
795
               const auto c = a + b;
448✔
796

797
               const auto Pa = pt.mul(a, rng);
448✔
798
               const auto Pb = pt.mul(b, rng);
448✔
799
               const auto Pc = pt.mul(c, rng);
448✔
800

801
               const auto Pc_bytes = Pc.serialize_uncompressed();
448✔
802

803
               const auto Pab = Pa.add(Pb);
448✔
804
               result.test_eq("Pa + Pb == Pc", Pab.serialize_uncompressed(), Pc_bytes);
448✔
805

806
               const auto Pba = Pb.add(Pa);
448✔
807
               result.test_eq("Pb + Pa == Pc", Pba.serialize_uncompressed(), Pc_bytes);
448✔
808
            }
896✔
809

810
            for(size_t i = 0; i != 64; ++i) {
1,820✔
811
               auto h = [&]() {
5,376✔
812
                  const auto s = [&]() {
5,376✔
813
                     if(i == 0) {
1,792✔
814
                        // Test the identity case
815
                        return Botan::EC_Scalar(zero);
28✔
816
                     } else if(i <= 32) {
1,764✔
817
                        // Test cases where the two points have a linear relation
818
                        std::vector<uint8_t> sbytes(group.get_order_bytes());
896✔
819
                        sbytes[sbytes.size() - 1] = static_cast<uint8_t>((i + 1) / 2);
896✔
820
                        auto si = Botan::EC_Scalar::deserialize(group, sbytes).value();
1,792✔
821
                        if(i % 2 == 0) {
896✔
822
                           return si;
448✔
823
                        } else {
824
                           return si.negate();
448✔
825
                        }
826
                     } else {
1,792✔
827
                        return Botan::EC_Scalar::random(group, rng);
868✔
828
                     }
829
                  }();
1,792✔
830
                  auto x = Botan::EC_AffinePoint::g_mul(s, rng);
1,792✔
831
                  return x;
1,792✔
832
               }();
3,584✔
833

834
               const auto s1 = Botan::EC_Scalar::random(group, rng);
1,792✔
835
               const auto s2 = Botan::EC_Scalar::random(group, rng);
1,792✔
836

837
               const Botan::EC_Group::Mul2Table mul2_table(h);
1,792✔
838

839
               const auto ref = Botan::EC_AffinePoint::g_mul(s1, rng).add(h.mul(s2, rng));
1,792✔
840

841
               if(auto mul2pt = mul2_table.mul2_vartime(s1, s2)) {
1,792✔
842
                  result.test_eq("ref == mul2t", ref.serialize_uncompressed(), mul2pt->serialize_uncompressed());
5,376✔
843
               } else {
844
                  result.test_is_true("ref is identity", ref.is_identity());
×
845
               }
×
846
            }
1,792✔
847

848
            result.end_timer();
28✔
849

850
            results.push_back(result);
28✔
851
         }
56✔
852

853
         return results;
1✔
854
      }
×
855
};
856

857
BOTAN_REGISTER_TEST("pubkey", "ec_point_arith", EC_Point_Arithmetic_Tests);
858

859
   #if defined(BOTAN_HAS_ECDSA)
860

861
class ECC_Invalid_Key_Tests final : public Text_Based_Test {
×
862
   public:
863
      ECC_Invalid_Key_Tests() : Text_Based_Test("pubkey/ecc_invalid.vec", "SubjectPublicKey") {}
2✔
864

865
      bool clear_between_callbacks() const override { return false; }
5✔
866

867
      Test::Result run_one_test(const std::string& /*header*/, const VarMap& vars) override {
5✔
868
         Test::Result result("ECC invalid keys");
5✔
869

870
         const std::string encoded = vars.get_req_str("SubjectPublicKey");
5✔
871
         Botan::DataSource_Memory key_data(Botan::hex_decode(encoded));
10✔
872

873
         try {
5✔
874
            auto key = Botan::X509::load_key(key_data);
5✔
875
            result.test_is_false("public key fails check", key->check_key(this->rng(), false));
×
876
         } catch(Botan::Decoding_Error&) {
5✔
877
            result.test_success("Decoding invalid ECC key results in decoding error exception");
5✔
878
         }
5✔
879

880
         return result;
5✔
881
      }
5✔
882
};
883

884
BOTAN_REGISTER_TEST("pubkey", "ecc_invalid", ECC_Invalid_Key_Tests);
885

886
   #endif
887

888
#endif
889

890
}  // namespace
891

892
}  // namespace Botan_Tests
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