precompiles: Implement multi scalar multiplication for P1 and P2

ethereum · Sep 17, 2024 · 4c8fe67 · 4c8fe67
1 parent fd1d149
commit 4c8fe67
Show file tree

Hide file tree

Showing 5 changed files with 319 additions and 10 deletions.
diff --git a/circle.yml b/circle.yml
@@ -377,6 +377,8 @@ jobs:
             prague/eip2537_bls_12_381_precompiles/bls12_g1mul
             prague/eip2537_bls_12_381_precompiles/bls12_g2add
             prague/eip2537_bls_12_381_precompiles/bls12_g2mul
+            prague/eip2537_bls_12_381_precompiles/bls12_g1msm
+            prague/eip2537_bls_12_381_precompiles/bls12_g2msm
       - run:
           name: "Execution spec tests (develop, blockchain_tests)"
           # Tests for in-development EVM revision currently passing.

diff --git a/lib/evmone_precompiles/bls.cpp b/lib/evmone_precompiles/bls.cpp
@@ -1,6 +1,7 @@
 #include "bls.hpp"
 #include <blst.h>
 #include <optional>
+#include <vector>
 
 namespace evmone::crypto::bls
 {
@@ -183,4 +184,133 @@ void store(uint8_t _rx[128], const blst_fp2& _x) noexcept
     return true;
 }
 
+[[nodiscard]] bool g1_msm(
+    uint8_t _rx[64], uint8_t _ry[64], const uint8_t* _xycs, size_t size) noexcept
+{
+    constexpr auto SINGLE_ENTRY_SIZE = (64 * 2 + 32);
+    assert(size % SINGLE_ENTRY_SIZE == 0);
+    auto npoints = size / SINGLE_ENTRY_SIZE;
+
+    std::vector<blst_p1_affine> p1_affines;
+    std::vector<const blst_p1_affine*> p1_affine_ptrs;
+    p1_affines.reserve(npoints);
+    p1_affine_ptrs.reserve(npoints);
+
+    std::vector<blst_scalar> scalars;
+    std::vector<const uint8_t*> scalars_ptrs;
+    scalars.reserve(npoints);
+    scalars_ptrs.reserve(npoints);
+
+    auto ptr = _xycs;
+
+    for (size_t i = 0; i < npoints; ++i)
+    {
+        const auto p_affine = validate_p1(ptr, &ptr[64]);
+        if (!p_affine.has_value())
+            return false;
+
+        if (!blst_p1_affine_in_g1(&*p_affine))
+            return false;
+
+        if (blst_p1_affine_is_inf(&*p_affine))
+            continue;
+
+        p1_affines.emplace_back(*p_affine);
+        p1_affine_ptrs.emplace_back(&p1_affines.back());
+
+        blst_scalar scalar;
+        blst_scalar_from_bendian(&scalar, &ptr[128]);
+        scalars.emplace_back(scalar);
+        scalars_ptrs.emplace_back(scalars.back().b);
+
+        ptr += SINGLE_ENTRY_SIZE;
+    }
+
+    npoints = p1_affine_ptrs.size();
+
+    if (npoints == 0)
+    {
+        memset(_rx, 0, 64);
+        memset(_ry, 0, 64);
+        return true;
+    }
+
+    const auto sz = blst_p1s_mult_pippenger_scratch_sizeof(npoints) / 8;
+    blst_p1 out;
+    blst_p1s_mult_pippenger(&out, p1_affine_ptrs.data(), npoints, scalars_ptrs.data(), 256,
+        std::vector<limb_t>(sz).data());
+
+    blst_p1_affine result;
+    blst_p1_to_affine(&result, &out);
+    store(_rx, result.x);
+    store(_ry, result.y);
+
+    return true;
+}
+
+[[nodiscard]] bool g2_msm(
+    uint8_t _rx[128], uint8_t _ry[128], const uint8_t* _xycs, size_t size) noexcept
+{
+    constexpr auto SINGLE_ENTRY_SIZE = (128 * 2 + 32);
+    assert(size % SINGLE_ENTRY_SIZE == 0);
+    auto npoints = size / SINGLE_ENTRY_SIZE;
+
+    std::vector<blst_p2_affine> p2_affines;
+    std::vector<const blst_p2_affine*> p2_affine_ptrs;
+    p2_affines.reserve(npoints);
+    p2_affine_ptrs.reserve(npoints);
+
+    std::vector<blst_scalar> scalars;
+    std::vector<const uint8_t*> scalars_ptrs;
+    scalars.reserve(npoints);
+    scalars_ptrs.reserve(npoints);
+
+    auto ptr = _xycs;
+
+    for (size_t i = 0; i < npoints; ++i)
+    {
+        const auto p_affine = validate_p2(ptr, &ptr[128]);
+        if (!p_affine.has_value())
+            return false;
+
+        if (!blst_p2_affine_in_g2(&*p_affine))
+            return false;
+
+        blst_scalar scalar;
+        blst_scalar_from_bendian(&scalar, &ptr[256]);
+
+        if (blst_p2_affine_is_inf(&*p_affine))
+            continue;
+
+        p2_affines.emplace_back(*p_affine);
+        p2_affine_ptrs.emplace_back(&p2_affines.back());
+
+        scalars.emplace_back(scalar);
+        scalars_ptrs.emplace_back(scalars.back().b);
+
+        ptr += SINGLE_ENTRY_SIZE;
+    }
+
+    npoints = p2_affine_ptrs.size();
+
+    if (npoints == 0)
+    {
+        memset(_rx, 0, 128);
+        memset(_ry, 0, 128);
+        return true;
+    }
+
+    const auto sz = blst_p2s_mult_pippenger_scratch_sizeof(npoints) / 8;
+    blst_p2 out;
+    blst_p2s_mult_pippenger(&out, p2_affine_ptrs.data(), npoints, scalars_ptrs.data(), 256,
+        std::vector<limb_t>(sz).data());
+
+    blst_p2_affine result;
+    blst_p2_to_affine(&result, &out);
+    store(_rx, result.x);
+    store(_ry, result.y);
+
+    return true;
+}
+
 }  // namespace evmone::crypto::bls
diff --git a/lib/evmone_precompiles/bls.hpp b/lib/evmone_precompiles/bls.hpp
@@ -39,4 +39,20 @@ inline constexpr auto BLS_FIELD_MODULUS =
 [[nodiscard]] bool g2_mul(uint8_t _rx[128], uint8_t _ry[128], const uint8_t _x[128],
     const uint8_t _y[128], const uint8_t _c[32]) noexcept;
 
+/// Multi scalar multiplication in BLS12-381 curve G1 subgroup.
+///
+/// Computes ∑ⁿₖ₌₁cₖPₖ for points in affine coordinate on the BLS12-381 curve, performs
+/// subgroup check according to spec
+/// https://eips.ethereum.org/EIPS/eip-2537#abi-for-g1-msm
+[[nodiscard]] bool g1_msm(
+    uint8_t _rx[64], uint8_t _ry[64], const uint8_t* _xycs, size_t size) noexcept;
+
+/// Multi scalar multiplication in BLS12-381 curve G2 subgroup.
+///
+/// Computes ∑ⁿₖ₌₁cₖPₖ for points in affine coordinate on the BLS12-381 curve  over G2 extension
+/// field, performs subgroup check according to spec
+/// https://eips.ethereum.org/EIPS/eip-2537#abi-for-g2-msm
+[[nodiscard]] bool g2_msm(
+    uint8_t _rx[128], uint8_t _ry[128], const uint8_t* _xycs, size_t size) noexcept;
+
 }  // namespace evmone::crypto::bls
diff --git a/test/state/precompiles.cpp b/test/state/precompiles.cpp
@@ -41,6 +41,26 @@ inline constexpr int64_t cost_per_input_word(size_t input_size) noexcept
 {
     return BaseCost + WordCost * num_words(input_size);
 }
+
+int64_t bls_msm_cost(size_t k, int64_t multiplication_cost) noexcept
+{
+    assert(k > 0);
+
+    constexpr auto MAX_DISCOUNT = 174;
+    constexpr int64_t MULTIPLIER = 1000;
+    constexpr int16_t discount[128] = {1200, 888, 764, 641, 594, 547, 500, 453, 438, 423, 408, 394,
+        379, 364, 349, 334, 330, 326, 322, 318, 314, 310, 306, 302, 298, 294, 289, 285, 281, 277,
+        273, 269, 268, 266, 265, 263, 262, 260, 259, 257, 256, 254, 253, 251, 250, 248, 247, 245,
+        244, 242, 241, 239, 238, 236, 235, 233, 232, 231, 229, 228, 226, 225, 223, 222, 221, 220,
+        219, 219, 218, 217, 216, 216, 215, 214, 213, 213, 212, 211, 211, 210, 209, 208, 208, 207,
+        206, 205, 205, 204, 203, 202, 202, 201, 200, 199, 199, 198, 197, 196, 196, 195, 194, 193,
+        193, 192, 191, 191, 190, 189, 188, 188, 187, 186, 185, 185, 184, 183, 182, 182, 181, 180,
+        179, 179, 178, 177, 176, 176, 175, 174};
+
+    const auto d = k <= 128 ? discount[k - 1] : MAX_DISCOUNT;
+    return (static_cast<int64_t>(k) * multiplication_cost * d) / MULTIPLIER;
+}
+
 }  // namespace
 
 PrecompileAnalysis ecrecover_analyze(bytes_view /*input*/, evmc_revision /*rev*/) noexcept
@@ -166,10 +186,13 @@ PrecompileAnalysis bls12_g1mul_analyze(bytes_view, evmc_revision) noexcept
     return {BLS12_G1MUL_PRECOMPILE_GAS, 128};
 }
 
-PrecompileAnalysis bls12_g1msm_analyze(bytes_view, evmc_revision) noexcept
+PrecompileAnalysis bls12_g1msm_analyze(bytes_view input, evmc_revision) noexcept
 {
-    // TODO: Implement
-    return {GasCostMax, 0};
+    if (input.empty() || input.size() % 160 != 0)
+        return {GasCostMax, 0};
+
+    static constexpr auto BLS12_G1MUL_PRECOMPILE_GAS = 12000;
+    return {bls_msm_cost(input.size() / 160, BLS12_G1MUL_PRECOMPILE_GAS), 128};
 }
 
 PrecompileAnalysis bls12_g2add_analyze(bytes_view, evmc_revision) noexcept
@@ -184,10 +207,13 @@ PrecompileAnalysis bls12_g2mul_analyze(bytes_view, evmc_revision) noexcept
     return {BLS12_G2MUL_PRECOMPILE_GAS, 256};
 }
 
-PrecompileAnalysis bls12_g2msm_analyze(bytes_view, evmc_revision) noexcept
+PrecompileAnalysis bls12_g2msm_analyze(bytes_view input, evmc_revision) noexcept
 {
-    // TODO: Implement
-    return {GasCostMax, 0};
+    if (input.empty() || input.size() % 288 != 0)
+        return {GasCostMax, 0};
+
+    static constexpr auto BLS12_G2MUL_PRECOMPILE_GAS = 45000;
+    return {bls_msm_cost(input.size() / 288, BLS12_G2MUL_PRECOMPILE_GAS), 256};
 }
 
 PrecompileAnalysis bls12_pairing_check_analyze(bytes_view, evmc_revision) noexcept
@@ -375,9 +401,18 @@ ExecutionResult bls12_g1mul_execute(const uint8_t* input, size_t input_size, uin
     return {EVMC_SUCCESS, 128};
 }
 
-ExecutionResult bls12_g1msm_execute(const uint8_t*, size_t, uint8_t*, size_t) noexcept
+ExecutionResult bls12_g1msm_execute(const uint8_t* input, size_t input_size, uint8_t* output,
+    [[maybe_unused]] size_t output_size) noexcept
 {
-    return {EVMC_PRECOMPILE_FAILURE, 0};
+    if (input_size % 160 != 0)
+        return {EVMC_PRECOMPILE_FAILURE, 0};
+
+    assert(output_size == 128);
+
+    if (!crypto::bls::g1_msm(output, &output[64], input, input_size))
+        return {EVMC_PRECOMPILE_FAILURE, 0};
+
+    return {EVMC_SUCCESS, 128};
 }
 
 ExecutionResult bls12_g2add_execute(const uint8_t* input, size_t input_size, uint8_t* output,
@@ -408,9 +443,18 @@ ExecutionResult bls12_g2mul_execute(const uint8_t* input, size_t input_size, uin
     return {EVMC_SUCCESS, 256};
 }
 
-ExecutionResult bls12_g2msm_execute(const uint8_t*, size_t, uint8_t*, size_t) noexcept
+ExecutionResult bls12_g2msm_execute(const uint8_t* input, size_t input_size, uint8_t* output,
+    [[maybe_unused]] size_t output_size) noexcept
 {
-    return {EVMC_PRECOMPILE_FAILURE, 0};
+    if (input_size % 288 != 0)
+        return {EVMC_PRECOMPILE_FAILURE, 0};
+
+    assert(output_size == 256);
+
+    if (!crypto::bls::g2_msm(output, &output[128], input, input_size))
+        return {EVMC_PRECOMPILE_FAILURE, 0};
+
+    return {EVMC_SUCCESS, 256};
 }
 
 ExecutionResult bls12_pairing_check_execute(const uint8_t*, size_t, uint8_t*, size_t) noexcept

diff --git a/test/unittests/precompiles_bls_test.cpp b/test/unittests/precompiles_bls_test.cpp
@@ -139,3 +139,120 @@ TEST(bls, g2_mul)
     EXPECT_EQ(evmc::bytes_view(rx, sizeof rx), expected_x);
     EXPECT_EQ(evmc::bytes_view(ry, sizeof ry), expected_y);
 }
+
+TEST(bls, g1_msm)
+{
+    using namespace evmc::literals;
+    auto input =
+        "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f17"
+        "1bac586c55e83ff97a1aeffb3af00adb22c6bb0000000000000000000000000000000008b3f481e3aaa0f1a09e"
+        "30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e100000000000000"
+        "00000000000000000000000000000000000000000000000002"_hex;
+    uint8_t rx[64];
+    uint8_t ry[64];
+
+    EXPECT_TRUE(evmone::crypto::bls::g1_msm(rx, ry, input.data(), input.size()));
+
+    const auto expected_x =
+        "000000000000000000000000000000000572cbea904d67468808c8eb50a9450c9721db309128012543902d0ac358a62ae28f75bb8f1c7c42c39a8c5529bf0f4e"_hex;
+    const auto expected_y =
+        "00000000000000000000000000000000166a9d8cabc673a322fda673779d8e3822ba3ecb8670e461f73bb9021d5fd76a4c56d9d4cd16bd1bba86881979749d28"_hex;
+
+    EXPECT_EQ(evmc::bytes_view(rx, sizeof rx), expected_x);
+    EXPECT_EQ(evmc::bytes_view(ry, sizeof ry), expected_y);
+}
+
+TEST(bls, g1_msm_inf_0)
+{
+    using namespace evmc::literals;
+    auto input =
+        "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"_hex;
+    uint8_t rx[64];
+    uint8_t ry[64];
+
+    EXPECT_TRUE(evmone::crypto::bls::g1_msm(rx, ry, input.data(), input.size()));
+
+    const auto expected_x =
+        "000000000000000000000000000000000572cbea904d67468808c8eb50a9450c9721db309128012543902d0ac358a62ae28f75bb8f1c7c42c39a8c5529bf0f4e"_hex;
+    const auto expected_y =
+        "00000000000000000000000000000000166a9d8cabc673a322fda673779d8e3822ba3ecb8670e461f73bb9021d5fd76a4c56d9d4cd16bd1bba86881979749d28"_hex;
+
+    EXPECT_EQ(evmc::bytes_view(rx, sizeof rx), expected_x);
+    EXPECT_EQ(evmc::bytes_view(ry, sizeof ry), expected_y);
+}
+
+TEST(bls, g1_msm_inf_2)
+{
+    using namespace evmc::literals;
+    auto input =
+        "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb0000000000000000000000000000000008b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1000000000000000000000000000000000000000000000000000000000000000200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002"_hex;
+    uint8_t rx[64];
+    uint8_t ry[64];
+
+    EXPECT_TRUE(evmone::crypto::bls::g1_msm(rx, ry, input.data(), input.size()));
+
+    const auto expected_x =
+        "000000000000000000000000000000000572cbea904d67468808c8eb50a9450c9721db309128012543902d0ac358a62ae28f75bb8f1c7c42c39a8c5529bf0f4e"_hex;
+    const auto expected_y =
+        "00000000000000000000000000000000166a9d8cabc673a322fda673779d8e3822ba3ecb8670e461f73bb9021d5fd76a4c56d9d4cd16bd1bba86881979749d28"_hex;
+
+    EXPECT_EQ(evmc::bytes_view(rx, sizeof rx), expected_x);
+    EXPECT_EQ(evmc::bytes_view(ry, sizeof ry), expected_y);
+}
+
+TEST(bls, g2_msm)
+{
+    using namespace evmc::literals;
+    auto input =
+        "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"_hex;
+    uint8_t rx[128];
+    uint8_t ry[128];
+
+    EXPECT_TRUE(evmone::crypto::bls::g2_msm(rx, ry, input.data(), input.size()));
+
+    const auto expected_x =
+        "000000000000000000000000000000001638533957d540a9d2370f17cc7ed5863bc0b995b8825e0ee1ea1e1e4d00dbae81f14b0bf3611b78c952aacab827a053000000000000000000000000000000000a4edef9c1ed7f729f520e47730a124fd70662a904ba1074728114d1031e1572c6c886f6b57ec72a6178288c47c33577"_hex;
+    const auto expected_y =
+        "000000000000000000000000000000000468fb440d82b0630aeb8dca2b5256789a66da69bf91009cbfe6bd221e47aa8ae88dece9764bf3bd999d95d71e4c9899000000000000000000000000000000000f6d4552fa65dd2638b361543f887136a43253d9c66c411697003f7a13c308f5422e1aa0a59c8967acdefd8b6e36ccf3"_hex;
+
+    EXPECT_EQ(evmc::bytes_view(rx, sizeof rx), expected_x);
+    EXPECT_EQ(evmc::bytes_view(ry, sizeof ry), expected_y);
+}
+
+TEST(bls, g2_msm_inf_0)
+{
+    using namespace evmc::literals;
+    auto input =
+        "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"_hex;
+    uint8_t rx[128];
+    uint8_t ry[128];
+
+    EXPECT_TRUE(evmone::crypto::bls::g2_msm(rx, ry, input.data(), input.size()));
+
+    const auto expected_x =
+        "000000000000000000000000000000001638533957d540a9d2370f17cc7ed5863bc0b995b8825e0ee1ea1e1e4d00dbae81f14b0bf3611b78c952aacab827a053000000000000000000000000000000000a4edef9c1ed7f729f520e47730a124fd70662a904ba1074728114d1031e1572c6c886f6b57ec72a6178288c47c33577"_hex;
+    const auto expected_y =
+        "000000000000000000000000000000000468fb440d82b0630aeb8dca2b5256789a66da69bf91009cbfe6bd221e47aa8ae88dece9764bf3bd999d95d71e4c9899000000000000000000000000000000000f6d4552fa65dd2638b361543f887136a43253d9c66c411697003f7a13c308f5422e1aa0a59c8967acdefd8b6e36ccf3"_hex;
+
+    EXPECT_EQ(evmc::bytes_view(rx, sizeof rx), expected_x);
+    EXPECT_EQ(evmc::bytes_view(ry, sizeof ry), expected_y);
+}
+
+TEST(bls, g2_msm_inf_2)
+{
+    using namespace evmc::literals;
+    auto input =
+        "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"_hex;
+    uint8_t rx[128];
+    uint8_t ry[128];
+
+    EXPECT_TRUE(evmone::crypto::bls::g2_msm(rx, ry, input.data(), input.size()));
+
+    const auto expected_x =
+        "000000000000000000000000000000001638533957d540a9d2370f17cc7ed5863bc0b995b8825e0ee1ea1e1e4d00dbae81f14b0bf3611b78c952aacab827a053000000000000000000000000000000000a4edef9c1ed7f729f520e47730a124fd70662a904ba1074728114d1031e1572c6c886f6b57ec72a6178288c47c33577"_hex;
+    const auto expected_y =
+        "000000000000000000000000000000000468fb440d82b0630aeb8dca2b5256789a66da69bf91009cbfe6bd221e47aa8ae88dece9764bf3bd999d95d71e4c9899000000000000000000000000000000000f6d4552fa65dd2638b361543f887136a43253d9c66c411697003f7a13c308f5422e1aa0a59c8967acdefd8b6e36ccf3"_hex;
+
+    EXPECT_EQ(evmc::bytes_view(rx, sizeof rx), expected_x);
+    EXPECT_EQ(evmc::bytes_view(ry, sizeof ry), expected_y);
+}