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// Copyright (c) 2017-2026, The Monero Project
//
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without modification, are
// permitted provided that the following conditions are met:
//
// 1. Redistributions of source code must retain the above copyright notice, this list of
// conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright notice, this list
// of conditions and the following disclaimer in the documentation and/or other
// materials provided with the distribution.
//
// 3. Neither the name of the copyright holder nor the names of its contributors may be
// used to endorse or promote products derived from this software without specific
// prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL
// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF
// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#include <cstdint>
#include <gtest/gtest.h>
#include <memory>
#include <sstream>
#include <string>
#include <type_traits>
extern "C"
{
#include "crypto/crypto-ops.h"
}
#include "crypto/generators.h"
#include "cryptonote_basic/merge_mining.h"
#include "fcmp_pp/fcmp_pp_crypto.h"
#include "ringct/rctOps.h"
#include "ringct/rctSigs.h"
#include "ringct/rctTypes.h"
#include "string_tools.h"
namespace
{
static constexpr const std::uint8_t source[] = {
0x8b, 0x65, 0x59, 0x70, 0x15, 0x37, 0x99, 0xaf, 0x2a, 0xea, 0xdc, 0x9f, 0xf1, 0xad, 0xd0, 0xea,
0x6c, 0x72, 0x51, 0xd5, 0x41, 0x54, 0xcf, 0xa9, 0x2c, 0x17, 0x3a, 0x0d, 0xd3, 0x9c, 0x1f, 0x94,
0x6c, 0x72, 0x51, 0xd5, 0x41, 0x54, 0xcf, 0xa9, 0x2c, 0x17, 0x3a, 0x0d, 0xd3, 0x9c, 0x1f, 0x94,
0x8b, 0x65, 0x59, 0x70, 0x15, 0x37, 0x99, 0xaf, 0x2a, 0xea, 0xdc, 0x9f, 0xf1, 0xad, 0xd0, 0xea
};
static constexpr const char expected[] =
"8b655970153799af2aeadc9ff1add0ea6c7251d54154cfa92c173a0dd39c1f94"
"6c7251d54154cfa92c173a0dd39c1f948b655970153799af2aeadc9ff1add0ea";
template<typename T>
bool is_formatted()
{
T value{};
static_assert(alignof(T) == 1, "T must have 1 byte alignment");
static_assert(sizeof(T) <= sizeof(source), "T is too large for source");
static_assert(sizeof(T) * 2 <= sizeof(expected), "T is too large for destination");
static_assert(std::has_unique_object_representations_v<T>);
std::memcpy(std::addressof(value), source, sizeof(T));
std::stringstream out;
out << "BEGIN" << value << "END";
return out.str() == "BEGIN<" + std::string{expected, sizeof(T) * 2} + ">END";
}
void random_fe(fe rand_fe)
{
unsigned char s[32];
crypto::random32_unbiased(s);
if (fe_frombytes_vartime(rand_fe, s) != 0)
throw std::runtime_error("invalid random fe");
}
}
TEST(Crypto, Ostream)
{
EXPECT_TRUE(is_formatted<crypto::hash8>());
EXPECT_TRUE(is_formatted<crypto::hash>());
EXPECT_TRUE(is_formatted<crypto::public_key>());
EXPECT_TRUE(is_formatted<crypto::signature>());
EXPECT_TRUE(is_formatted<crypto::key_derivation>());
EXPECT_TRUE(is_formatted<crypto::key_image>());
EXPECT_TRUE(is_formatted<rct::key>());
}
TEST(Crypto, null_keys)
{
char zero[32];
memset(zero, 0, 32);
ASSERT_EQ(memcmp(crypto::null_skey.data, zero, 32), 0);
ASSERT_EQ(memcmp(crypto::null_pkey.data, zero, 32), 0);
}
TEST(Crypto, verify_32)
{
// all bytes are treated the same, so we can brute force just one byte
unsigned char k0[32] = {0}, k1[32] = {0};
for (unsigned int i0 = 0; i0 < 256; ++i0)
{
k0[0] = i0;
for (unsigned int i1 = 0; i1 < 256; ++i1)
{
k1[0] = i1;
ASSERT_EQ(!crypto_verify_32(k0, k1), i0 == i1);
}
}
}
TEST(Crypto, tree_branch)
{
crypto::hash inputs[6];
crypto::hash branch[8];
crypto::hash branch_1[8 + 1];
crypto::hash root, root2;
size_t depth;
uint32_t path, path2;
auto hasher = [](const crypto::hash &h0, const crypto::hash &h1) -> crypto::hash
{
char buffer[64];
memcpy(buffer, &h0, 32);
memcpy(buffer + 32, &h1, 32);
crypto::hash res;
cn_fast_hash(buffer, 64, res);
return res;
};
for (int n = 0; n < 6; ++n)
{
memset(&inputs[n], 0, 32);
inputs[n].data[0] = n + 1;
}
// empty
ASSERT_FALSE(crypto::tree_branch((const char(*)[32])inputs, 0, crypto::null_hash.data, (char(*)[32])branch, &depth, &path));
// one, matching
ASSERT_TRUE(crypto::tree_branch((const char(*)[32])inputs, 1, inputs[0].data, (char(*)[32])branch, &depth, &path));
ASSERT_EQ(depth, 0);
ASSERT_EQ(path, 0);
ASSERT_TRUE(crypto::tree_path(1, 0, &path2));
ASSERT_EQ(path, path2);
crypto::tree_hash((const char(*)[32])inputs, 1, root.data);
ASSERT_EQ(root, inputs[0]);
ASSERT_TRUE(crypto::is_branch_in_tree(inputs[0].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[1].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(crypto::null_hash.data, root.data, (const char(*)[32])branch, depth, path));
// one, not found
ASSERT_FALSE(crypto::tree_branch((const char(*)[32])inputs, 1, inputs[1].data, (char(*)[32])branch, &depth, &path));
// two, index 0
ASSERT_TRUE(crypto::tree_branch((const char(*)[32])inputs, 2, inputs[0].data, (char(*)[32])branch, &depth, &path));
ASSERT_EQ(depth, 1);
ASSERT_EQ(path, 0);
ASSERT_TRUE(crypto::tree_path(2, 0, &path2));
ASSERT_EQ(path, path2);
ASSERT_EQ(branch[0], inputs[1]);
crypto::tree_hash((const char(*)[32])inputs, 2, root.data);
ASSERT_EQ(root, hasher(inputs[0], inputs[1]));
ASSERT_TRUE(crypto::is_branch_in_tree(inputs[0].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[1].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[2].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(crypto::null_hash.data, root.data, (const char(*)[32])branch, depth, path));
// two, index 1
ASSERT_TRUE(crypto::tree_branch((const char(*)[32])inputs, 2, inputs[1].data, (char(*)[32])branch, &depth, &path));
ASSERT_EQ(depth, 1);
ASSERT_EQ(path, 1);
ASSERT_TRUE(crypto::tree_path(2, 1, &path2));
ASSERT_EQ(path, path2);
ASSERT_EQ(branch[0], inputs[0]);
crypto::tree_hash((const char(*)[32])inputs, 2, root.data);
ASSERT_EQ(root, hasher(inputs[0], inputs[1]));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[0].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_TRUE(crypto::is_branch_in_tree(inputs[1].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[2].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(crypto::null_hash.data, root.data, (const char(*)[32])branch, depth, path));
// two, not found
ASSERT_FALSE(crypto::tree_branch((const char(*)[32])inputs, 2, inputs[2].data, (char(*)[32])branch, &depth, &path));
// a b c 0
// x y
// z
// three, index 0
ASSERT_TRUE(crypto::tree_branch((const char(*)[32])inputs, 3, inputs[0].data, (char(*)[32])branch, &depth, &path));
ASSERT_GE(depth, 1);
ASSERT_LE(depth, 2);
ASSERT_TRUE(crypto::tree_path(3, 0, &path2));
ASSERT_EQ(path, path2);
crypto::tree_hash((const char(*)[32])inputs, 3, root.data);
ASSERT_EQ(root, hasher(inputs[0], hasher(inputs[1], inputs[2])));
ASSERT_TRUE(crypto::is_branch_in_tree(inputs[0].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[1].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[2].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[3].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(crypto::null_hash.data, root.data, (const char(*)[32])branch, depth, path));
// three, index 1
ASSERT_TRUE(crypto::tree_branch((const char(*)[32])inputs, 3, inputs[1].data, (char(*)[32])branch, &depth, &path));
ASSERT_GE(depth, 1);
ASSERT_LE(depth, 2);
ASSERT_TRUE(crypto::tree_path(3, 1, &path2));
ASSERT_EQ(path, path2);
crypto::tree_hash((const char(*)[32])inputs, 3, root.data);
ASSERT_EQ(root, hasher(inputs[0], hasher(inputs[1], inputs[2])));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[0].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_TRUE(crypto::is_branch_in_tree(inputs[1].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[2].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[3].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(crypto::null_hash.data, root.data, (const char(*)[32])branch, depth, path));
// three, index 2
ASSERT_TRUE(crypto::tree_branch((const char(*)[32])inputs, 3, inputs[2].data, (char(*)[32])branch, &depth, &path));
ASSERT_GE(depth, 1);
ASSERT_LE(depth, 2);
ASSERT_TRUE(crypto::tree_path(3, 2, &path2));
ASSERT_EQ(path, path2);
crypto::tree_hash((const char(*)[32])inputs, 3, root.data);
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[0].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[1].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_TRUE(crypto::is_branch_in_tree(inputs[2].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[3].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(crypto::null_hash.data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_TRUE(crypto::tree_branch_hash(inputs[2].data, (const char(*)[32])branch, depth, path, root2.data));
ASSERT_EQ(root, root2);
// three, not found
ASSERT_FALSE(crypto::tree_branch((const char(*)[32])inputs, 3, inputs[3].data, (char(*)[32])branch, &depth, &path));
// a b c d e 0 0 0
// x y
// z
// w
// five, index 0
ASSERT_TRUE(crypto::tree_branch((const char(*)[32])inputs, 5, inputs[0].data, (char(*)[32])branch, &depth, &path));
ASSERT_GE(depth, 2);
ASSERT_LE(depth, 3);
ASSERT_TRUE(crypto::tree_path(5, 0, &path2));
ASSERT_EQ(path, path2);
crypto::tree_hash((const char(*)[32])inputs, 5, root.data);
ASSERT_TRUE(crypto::is_branch_in_tree(inputs[0].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[1].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[2].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[3].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[4].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[5].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(crypto::null_hash.data, root.data, (const char(*)[32])branch, depth, path));
// five, index 1
ASSERT_TRUE(crypto::tree_branch((const char(*)[32])inputs, 5, inputs[1].data, (char(*)[32])branch, &depth, &path));
ASSERT_GE(depth, 2);
ASSERT_LE(depth, 3);
ASSERT_TRUE(crypto::tree_path(5, 1, &path2));
ASSERT_EQ(path, path2);
crypto::tree_hash((const char(*)[32])inputs, 5, root.data);
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[0].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_TRUE(crypto::is_branch_in_tree(inputs[1].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[2].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[3].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[4].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[5].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(crypto::null_hash.data, root.data, (const char(*)[32])branch, depth, path));
// five, index 2
ASSERT_TRUE(crypto::tree_branch((const char(*)[32])inputs, 5, inputs[2].data, (char(*)[32])branch, &depth, &path));
ASSERT_GE(depth, 2);
ASSERT_LE(depth, 3);
ASSERT_TRUE(crypto::tree_path(5, 2, &path2));
ASSERT_EQ(path, path2);
crypto::tree_hash((const char(*)[32])inputs, 5, root.data);
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[0].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[1].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_TRUE(crypto::is_branch_in_tree(inputs[2].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[3].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[4].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[5].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(crypto::null_hash.data, root.data, (const char(*)[32])branch, depth, path));
// five, index 4
ASSERT_TRUE(crypto::tree_branch((const char(*)[32])inputs, 5, inputs[4].data, (char(*)[32])branch, &depth, &path));
ASSERT_GE(depth, 2);
ASSERT_LE(depth, 3);
ASSERT_TRUE(crypto::tree_path(5, 4, &path2));
ASSERT_EQ(path, path2);
crypto::tree_hash((const char(*)[32])inputs, 5, root.data);
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[0].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[1].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[2].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[3].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_TRUE(crypto::is_branch_in_tree(inputs[4].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[5].data, root.data, (const char(*)[32])branch, depth, path));
ASSERT_FALSE(crypto::is_branch_in_tree(crypto::null_hash.data, root.data, (const char(*)[32])branch, depth, path));
// a version with an extra (dummy) hash
memcpy(branch_1, branch, sizeof(branch));
branch_1[depth] = crypto::null_hash;
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[4].data, root.data, (const char(*)[32])branch, depth - 1, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[4].data, root.data, (const char(*)[32])branch_1, depth + 1, path));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[4].data, root.data, (const char(*)[32])branch, depth, path ^ 1));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[4].data, root.data, (const char(*)[32])branch, depth, path ^ 2));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[4].data, root.data, (const char(*)[32])branch, depth, path ^ 3));
ASSERT_FALSE(crypto::is_branch_in_tree(inputs[4].data, root.data, (const char(*)[32])(branch_1 + 1), depth, path));
// five, not found
ASSERT_FALSE(crypto::tree_branch((const char(*)[32])inputs, 5, crypto::null_hash.data, (char(*)[32])branch, &depth, &path));
// depth encoding roundtrip
for (uint32_t n_chains = 1; n_chains <= 256; ++n_chains)
{
for (uint32_t nonce = 0xffffffff - 512; nonce != 1025; ++nonce)
{
const uint64_t depth = cryptonote::encode_mm_depth(n_chains, nonce);
uint32_t n_chains_2, nonce_2;
ASSERT_TRUE(cryptonote::decode_mm_depth(depth, n_chains_2, nonce_2));
ASSERT_EQ(n_chains, n_chains_2);
ASSERT_EQ(nonce, nonce_2);
}
}
// 257 chains is too much
try { cryptonote::encode_mm_depth(257, 0); ASSERT_TRUE(false); }
catch (...) {}
}
TEST(Crypto, generator_consistency)
{
// crypto/generators.h
const crypto::public_key G{crypto::get_G()};
const crypto::public_key H{crypto::get_H()};
const ge_p3 H_p3 = crypto::get_H_p3();
// crypto/crypto-ops.h
ASSERT_TRUE(memcmp(&H_p3, &ge_p3_H, sizeof(ge_p3)) == 0);
// ringct/rctOps.h
ASSERT_TRUE(memcmp(G.data, rct::G.bytes, 32) == 0);
// ringct/rctTypes.h
ASSERT_TRUE(memcmp(H.data, rct::H.bytes, 32) == 0);
}
TEST(Crypto, batch_inversion)
{
const std::size_t MAX_TEST_ELEMS = 1000;
std::unique_ptr<fe[]> init_elems = std::make_unique<fe[]>(MAX_TEST_ELEMS);
std::unique_ptr<fe[]> norm_inverted = std::make_unique<fe[]>(MAX_TEST_ELEMS);
// Init test elems and individual inversions
for (std::size_t i = 0; i < MAX_TEST_ELEMS; ++i)
{
random_fe(init_elems[i]);
fe_invert(norm_inverted[i], init_elems[i]);
}
// Do batch inversions and compare to individual inversions
for (std::size_t n_elems = 1; n_elems <= MAX_TEST_ELEMS; ++n_elems)
{
std::unique_ptr<fe[]> batch_inverted = std::make_unique<fe[]>(n_elems);
ASSERT_EQ(fe_batch_invert(batch_inverted.get(), init_elems.get(), n_elems), 0);
for (std::size_t i = 0; i < n_elems; ++i)
ASSERT_EQ(fe_equals(batch_inverted[i], norm_inverted[i]), 1);
}
}
TEST(Crypto, batch_inversion_touching)
{
// vals[0] and vals[1] are input, vals[2] and vals[3] are output
fe vals[4];
// Init input elems
for (std::size_t i = 0; i < 2; ++i)
random_fe(vals[i]);
ASSERT_EQ(0, fe_batch_invert(vals + 2, vals, 2));
// Do batch inversions and compare to individual inversions
for (std::size_t i = 0; i < 2; ++i)
{
fe inv_simple;
fe_invert(inv_simple, vals[i]);
ASSERT_EQ(1, fe_equals(inv_simple, vals[2 + i]));
}
}
TEST(Crypto, batch_invert_zero)
{
const std::size_t TEST_ELEMS = 2;
std::unique_ptr<fe[]> init_elems = std::make_unique<fe[]>(TEST_ELEMS);
// Init test elems
random_fe(init_elems[0]);
fe_0(init_elems[1]);
// Do the batch inversion, should fail
std::unique_ptr<fe[]> batch_inverted = std::make_unique<fe[]>(TEST_ELEMS);
ASSERT_EQ(fe_batch_invert(batch_inverted.get(), init_elems.get(), TEST_ELEMS), -1);
}
TEST(Crypto, fe_equals)
{
// Test equality
ASSERT_EQ(fe_equals(fe_d, fe_d), 1);
// Test inequality
fe fe_d2;
fe_add(fe_d2, fe_d, fe_d);
ASSERT_EQ(fe_equals(fe_d2, fe_d), 0);
// Test different fe reprs that are actually equal
unsigned char fe_d2_bytes[32];
fe fe_d2_reduced;
fe_tobytes(fe_d2_bytes, fe_d2);
fe_frombytes_vartime(fe_d2_reduced, fe_d2_bytes);
// We expect distinct fe_d2_reduced and fe_d2 reprs, since fe_add produces fe repr elems in a larger subdomain.
ASSERT_NE(memcmp(fe_d2_reduced, fe_d2, sizeof(fe)), 0);
ASSERT_EQ(fe_equals(fe_d2_reduced, fe_d2), 1);
}
TEST(Crypto, ec_constants_rct_parity)
{
ASSERT_TRUE(memcmp(&fcmp_pp::EC_I, &rct::I, 32) == 0);
ASSERT_TRUE(memcmp(&fcmp_pp::EC_INV_EIGHT, &rct::INV_EIGHT, 32) == 0);
}
#define CHECK_CLEARED(k, cleared) \
crypto::ec_point cleared2; \
const bool r = fcmp_pp::get_valid_torsion_cleared_point_vartime(rct::rct2pt(k), cleared2); \
ASSERT_TRUE(r); \
ASSERT_EQ(cleared, cleared2);
TEST(Crypto, torsion_check_pass_random)
{
std::vector<rct::key> pts;
for (int i = 0; i < 1000; ++i)
{
const rct::key pk = rct::pkGen();
ge_p3 x;
ASSERT_EQ(ge_frombytes_vartime(&x, pk.bytes), 0);
ASSERT_TRUE(rct::isInMainSubgroup(pk));
ASSERT_FALSE(fcmp_pp::mul8_is_identity_vartime(x));
const crypto::ec_point cleared = fcmp_pp::clear_torsion_vartime(x);
ASSERT_EQ(rct::rct2pt(pk), cleared);
CHECK_CLEARED(pk, cleared);
pts.emplace_back(pk);
}
ASSERT_TRUE(rct::verPointsForTorsion(pts));
}
TEST(Crypto, torsion_check_hardcoded)
{
struct TorsionTestPoints { std::string point; bool torsion_free; };
static const std::vector<TorsionTestPoints> torsion_test_points = {
{"b10ba13e303cbe9abf7d5d44f1d417727abcc14903a74e071abd652ce1bf76dd", false},
{"9b2e4c0281c0b02e7c53291a94d1d0cbff8883f8024f5142ee494ffbbd088071", false}, // genesis (see config::GENESIS_TX)
{"785eda585dca4f3d27976106008ccfbca13146c8b21b8c7e4909032639a776e1", true},
{"9a7b10563aa266032cd075f4e347f348a3841ae4f41572633351a97dd44066b4", true},
};
std::vector<rct::key> all_pts, torsion_free_pts, torsioned_pts, torsion_cleared_pts;
for (const auto &point : torsion_test_points)
{
rct::key k;
epee::string_tools::hex_to_pod(point.point, k);
ge_p3 x;
ASSERT_EQ(ge_frombytes_vartime(&x, k.bytes), 0);
ASSERT_EQ(rct::isInMainSubgroup(k), point.torsion_free);
ASSERT_FALSE(fcmp_pp::mul8_is_identity_vartime(x));
const crypto::ec_point cleared = fcmp_pp::clear_torsion_vartime(x);
if (point.torsion_free)
{
ASSERT_EQ(rct::rct2pt(k), cleared);
torsion_free_pts.push_back(k);
}
else
{
ASSERT_NE(rct::rct2pt(k), cleared);
torsioned_pts.push_back(k);
}
CHECK_CLEARED(k, cleared);
all_pts.emplace_back(k);
torsion_cleared_pts.emplace_back(rct::pt2rct(cleared));
}
ASSERT_TRUE(rct::verPointsForTorsion(torsion_free_pts));
ASSERT_FALSE(rct::verPointsForTorsion(torsioned_pts));
ASSERT_FALSE(rct::verPointsForTorsion(all_pts));
ASSERT_TRUE(rct::verPointsForTorsion(torsion_cleared_pts));
}
TEST(Crypto, mul8_is_identity_vartime)
{
static const std::vector<rct::key> mul8_identity_points = {
rct::I,
rct::Z
};
for (const auto &point : mul8_identity_points)
{
ge_p3 x;
ASSERT_EQ(ge_frombytes_vartime(&x, point.bytes), 0);
ASSERT_TRUE(fcmp_pp::mul8_is_identity_vartime(x));
crypto::ec_point _;
ASSERT_FALSE(fcmp_pp::get_valid_torsion_cleared_point_vartime(rct::rct2pt(point), _));
}
}
TEST(Crypto, fe_constants)
{
// A / 3
fe inv_3;
static const fe fe_3{3, 0, 0, 0, 0, 0, 0, 0, 0, 0};
fe_invert(inv_3, fe_3);
fe a_inv_3;
fe_mul(a_inv_3, fe_a, inv_3);
// c = sqrt(-(A + 2))
// Since sqrt isn't implemented, instead showing: c^2 = -(A + 2)
// TODO: test fe_c directly once sqrt is implemented
fe c_sq;
fe_sq(c_sq, fe_c);
// -(A + 2) = -A - 2
static const fe fe_2{2, 0, 0, 0, 0, 0, 0, 0, 0, 0};
fe ma_sub_2;
fe_sub(ma_sub_2, fe_ma, fe_2);
fe_reduce_vartime(ma_sub_2, ma_sub_2);
ASSERT_TRUE(memcmp(fe_a_inv_3, a_inv_3, sizeof(fe)) == 0);
ASSERT_TRUE(memcmp(c_sq, ma_sub_2, sizeof(fe)) == 0);
// Parity with spec
// https://www.ietf.org/archive/id/draft-ietf-lwig-curve-representations-02.pdf E.2 Page 19
unsigned char A_INV_3_PAPER[32] = {
0x2a, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa,
0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa,
0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa,
0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xad, 0x24, 0x51
};
// https://www.ietf.org/archive/id/draft-ietf-lwig-curve-representations-02.pdf E.2 Pages 19-20
unsigned char FE_C_PAPER[32] = {
0x70, 0xd9, 0x12, 0x0b, 0x9f, 0x5f, 0xf9, 0x44,
0x2d, 0x84, 0xf7, 0x23, 0xfc, 0x03, 0xb0, 0x81,
0x3a, 0x5e, 0x2c, 0x2e, 0xb4, 0x82, 0xe5, 0x7d,
0x33, 0x91, 0xfb, 0x55, 0x00, 0xba, 0x81, 0xe7
};
// Reverse to have comparable endian order
unsigned char a_inv_3_bytes[32];
fe_tobytes(a_inv_3_bytes, fe_a_inv_3);
std::reverse(a_inv_3_bytes, a_inv_3_bytes + 32);
unsigned char fe_c_bytes[32];
fe_tobytes(fe_c_bytes, fe_c);
std::reverse(fe_c_bytes, fe_c_bytes + 32);
ASSERT_TRUE(memcmp(a_inv_3_bytes, A_INV_3_PAPER, 32) == 0);
ASSERT_TRUE(memcmp(fe_c_bytes, FE_C_PAPER, 32) == 0);
}
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