From d62674b56145b6988cd0a9d8a658dff7cb6d8ec8 Mon Sep 17 00:00:00 2001 From: Jeffrey Walton Date: Mon, 24 Dec 2018 17:17:32 -0500 Subject: [PATCH] Add ed25519 (GH #764, PR #767) Add ed25519 --- Filelist.txt | 35 +- TestData/ed25519.dat | 1 + TestData/ed25519v0.dat | 1 + TestData/ed25519v1.dat | 1 + TestData/x25519.dat | 2 +- TestData/x25519v0.dat | 1 + TestData/x25519v1.dat | 1 + asn.h | 6 +- bench3.cpp | 19 +- cryptest.vcxproj | 1 + cryptest.vcxproj.filters | 5 +- cryptlib.vcxproj | 3 + cryptlib.vcxproj.filters | 9 + donna.h | 92 ++- donna_32.cpp | 1469 +++++++++++++++++++++++++++++++++++++- donna_32.h | 409 +++++++++++ donna_64.cpp | 1280 +++++++++++++++++++++++++++++++-- donna_64.h | 455 ++++++++++++ donna_sse.cpp | 64 +- donna_sse.h | 84 +++ eccrypto.cpp | 4 +- pubkey.h | 4 +- validat3.cpp | 4 +- validat6.cpp | 2 +- validat7.cpp | 125 +++- validat9.cpp | 33 + validate.h | 6 +- xed25519.cpp | 810 +++++++++++++++++---- xed25519.h | 531 +++++++++++++- 29 files changed, 5092 insertions(+), 365 deletions(-) create mode 100644 TestData/ed25519.dat create mode 100644 TestData/ed25519v0.dat create mode 100644 TestData/ed25519v1.dat create mode 100644 TestData/x25519v0.dat create mode 100644 TestData/x25519v1.dat create mode 100644 donna_32.h create mode 100644 donna_64.h create mode 100644 donna_sse.h diff --git a/Filelist.txt b/Filelist.txt index dbb67090..7c34dc16 100644 --- a/Filelist.txt +++ b/Filelist.txt @@ -102,6 +102,9 @@ dlltest.vcxproj.filters dmac.h drbg.h donna.h +donna_32.h +donna_64.h +donna_sse.h donna_32.cpp donna_64.cpp donna_sse.cpp @@ -412,6 +415,10 @@ TestData/dlie2048.dat TestData/dsa1024.dat TestData/dsa1024b.dat TestData/dsa512.dat +TestData/ed25519.dat +TestData/ed25519_ver.dat +TestData/ed25519v0.dat +TestData/ed25519v1.dat TestData/elgc1024.dat TestData/esig1023.dat TestData/esig1536.dat @@ -447,10 +454,10 @@ TestData/rc6val.dat TestData/rijndael.dat TestData/rsa1024.dat TestData/rsa2048.dat +TestData/rsa2048a.dat TestData/rsa400pb.dat TestData/rsa400pv.dat TestData/rsa512a.dat -TestData/rsa2048a.dat TestData/rw1024.dat TestData/rw2048.dat TestData/saferval.dat @@ -462,41 +469,43 @@ TestData/squareva.dat TestData/twofishv.dat TestData/usage.dat TestData/x25519.dat +TestData/x25519v0.dat +TestData/x25519v1.dat TestData/xtrdh171.dat TestData/xtrdh342.dat -TestVectors/Readme.txt TestVectors/aes.txt TestVectors/all.txt TestVectors/aria.txt TestVectors/blake2.txt TestVectors/blake2b.txt TestVectors/blake2s.txt -TestVectors/aria.txt TestVectors/camellia.txt -TestVectors/cham.txt TestVectors/ccm.txt TestVectors/chacha.txt TestVectors/chacha_tls.txt +TestVectors/cham.txt TestVectors/cmac.txt TestVectors/dlies.txt TestVectors/dsa.txt -TestVectors/dsa_rfc6979.txt TestVectors/dsa_1363.txt +TestVectors/dsa_rfc6979.txt TestVectors/eax.txt TestVectors/esign.txt TestVectors/gcm.txt TestVectors/hc128.txt TestVectors/hc256.txt -TestVectors/hkdf.txt TestVectors/hight.txt +TestVectors/hkdf.txt TestVectors/hmac.txt TestVectors/kalyna.txt TestVectors/keccak.txt TestVectors/lea.txt TestVectors/mars.txt TestVectors/nr.txt +TestVectors/ocb.txt TestVectors/panama.txt TestVectors/rabbit.txt +TestVectors/Readme.txt TestVectors/rsa_oaep.txt TestVectors/rsa_pkcs1_1_5.txt TestVectors/rsa_pss.txt @@ -505,20 +514,20 @@ TestVectors/salsa.txt TestVectors/seal.txt TestVectors/seed.txt TestVectors/sha.txt -TestVectors/sha2.txt -TestVectors/sha3.txt -TestVectors/sha1_fips_180.txt TestVectors/sha1_160_fips_180.txt -TestVectors/sha2_fips_180.txt +TestVectors/sha1_fips_180.txt +TestVectors/sha2.txt TestVectors/sha2_224_fips_180.txt TestVectors/sha2_256_fips_180.txt TestVectors/sha2_384_fips_180.txt TestVectors/sha2_512_fips_180.txt -TestVectors/sha3_fips_202.txt +TestVectors/sha2_fips_180.txt +TestVectors/sha3.txt TestVectors/sha3_224_fips_202.txt TestVectors/sha3_256_fips_202.txt TestVectors/sha3_384_fips_202.txt TestVectors/sha3_512_fips_202.txt +TestVectors/sha3_fips_202.txt TestVectors/shacal2.txt TestVectors/simeck.txt TestVectors/simon.txt @@ -541,9 +550,9 @@ TestPrograms/test_arm_asimd.cxx TestPrograms/test_arm_crc.cxx TestPrograms/test_arm_neon.cxx TestPrograms/test_arm_pmull.cxx +TestPrograms/test_arm_sha.cxx TestPrograms/test_arm_sha3.cxx TestPrograms/test_arm_sha512.cxx -TestPrograms/test_arm_sha.cxx TestPrograms/test_arm_sm3.cxx TestPrograms/test_arm_sm4.cxx TestPrograms/test_cxx.cxx @@ -558,9 +567,9 @@ TestPrograms/test_ppc_sha.cxx TestPrograms/test_ppc_vmull.cxx TestPrograms/test_pthreads.cxx TestPrograms/test_x86_aes.cxx +TestPrograms/test_x86_avx.cxx TestPrograms/test_x86_avx2.cxx TestPrograms/test_x86_avx512.cxx -TestPrograms/test_x86_avx.cxx TestPrograms/test_x86_clmul.cxx TestPrograms/test_x86_cpuid.cxx TestPrograms/test_x86_sha.cxx diff --git a/TestData/ed25519.dat b/TestData/ed25519.dat new file mode 100644 index 00000000..28f0c2d6 --- /dev/null +++ b/TestData/ed25519.dat @@ -0,0 +1 @@ +302E020100300506032B65700422042098C59D3F097FB23D44BA90791281B453258D691A55AF5CE4F1EE712FDF91AE6D \ No newline at end of file diff --git a/TestData/ed25519v0.dat b/TestData/ed25519v0.dat new file mode 100644 index 00000000..c5bbffa0 --- /dev/null +++ b/TestData/ed25519v0.dat @@ -0,0 +1 @@ +302E020100300506032B65700422042030BF776A497D7F1E0E26AC4FB03F5BE7E187DDFEFB914CD292A6FEDB7F70CE6B \ No newline at end of file diff --git a/TestData/ed25519v1.dat b/TestData/ed25519v1.dat new file mode 100644 index 00000000..73789634 --- /dev/null +++ b/TestData/ed25519v1.dat @@ -0,0 +1 @@ +3053020101300506032B6570042204206861FD53C7643DABDCDF4C3969CE44A156BAC261242A5AAEC140EDE510071C6CA12303210029CF90E6C1CF1ADC7105720303B2EE303412D2B682C6FEEF3D8736A286B2E27F \ No newline at end of file diff --git a/TestData/x25519.dat b/TestData/x25519.dat index d28c1d85..9a0f3d15 100644 --- a/TestData/x25519.dat +++ b/TestData/x25519.dat @@ -1 +1 @@ -3045032100D06927B313A78535F70AE1EC299D0FE86CDF0A655FC3EC7685BDA8E8D2F67174042097DD7D94CF3A33BB8374FD50C2663DD5F35F6CDFB8D7F01A8B22508DEA59195B \ No newline at end of file +302E020100300506032B656E0422042030D407BB0CC97D0EC493BDB00A4A8EFA06A50D2388F5BA62947030E7D9873F49 \ No newline at end of file diff --git a/TestData/x25519v0.dat b/TestData/x25519v0.dat new file mode 100644 index 00000000..1dc31212 --- /dev/null +++ b/TestData/x25519v0.dat @@ -0,0 +1 @@ +302E020100300506032B656E042204202818E54DE6B88EEF3E99E25042CB98E69373B222E4C1E8B3FB10AC9B26C1007B \ No newline at end of file diff --git a/TestData/x25519v1.dat b/TestData/x25519v1.dat new file mode 100644 index 00000000..4e26508d --- /dev/null +++ b/TestData/x25519v1.dat @@ -0,0 +1 @@ +3053020101300506032B656E04220420A00FADD6D29BE764B851F64F7620E80B700DF65914BED31E486362281BB5D061A123032100E9AD4CC54DAA36F312D98B253854F0076E2BC26FCE5802B3AC79A5B59B3D2C4F \ No newline at end of file diff --git a/asn.h b/asn.h index 30620f5d..2eb6404d 100644 --- a/asn.h +++ b/asn.h @@ -201,6 +201,10 @@ public: /// void BERDecodeAndCheck(BufferedTransformation &bt) const; + bool Empty() const { + return m_values.empty(); + } + const std::vector& GetValues() const { return m_values; } @@ -413,7 +417,7 @@ public: virtual void DEREncodePublicKey(BufferedTransformation &bt) const =0; }; -/// \brief Encodes and decodesprivateKeyInfo +/// \brief Encodes and Decodes privateKeyInfo class CRYPTOPP_DLL PKCS8PrivateKey : public ASN1CryptoMaterial { public: diff --git a/bench3.cpp b/bench3.cpp index 470ec251..00c62eab 100644 --- a/bench3.cpp +++ b/bench3.cpp @@ -29,10 +29,10 @@ #include "ec2n.h" #include "asn.h" #include "dh.h" -#include "xed25519.h" #include "mqv.h" #include "hmqv.h" #include "fhmqv.h" +#include "xed25519.h" #include "xtrcrypt.h" #include "esign.h" #include "pssr.h" @@ -380,6 +380,18 @@ void Benchmark3(double t, double hertz) } std::cout << "\n"; + { + ed25519::Signer sign(Test::GlobalRNG()); + ed25519::Verifier verify(sign); + x25519 agree(Test::GlobalRNG()); + + BenchMarkSigning("ed25519", sign, t); + BenchMarkVerification("ed25519", sign, verify, t); + BenchMarkKeyGen("x25519", agree, t); + BenchMarkAgreement("x25519", agree, t); + } + + std::cout << "\n"; { ECIES::Decryptor cpriv(Test::GlobalRNG(), ASN1::secp256k1()); ECIES::Encryptor cpub(cpriv); @@ -391,7 +403,6 @@ void Benchmark3(double t, double hertz) ECGDSA::Verifier spub3(spriv3); ECDH::Domain ecdhc(ASN1::secp256k1()); ECMQV::Domain ecmqvc(ASN1::secp256k1()); - x25519 x25519ka(Test::GlobalRNG()); BenchMarkEncryption("ECIES over GF(p) 256", cpub, t); BenchMarkDecryption("ECIES over GF(p) 256", cpriv, cpub, t); @@ -401,15 +412,13 @@ void Benchmark3(double t, double hertz) BenchMarkVerification("ECDSA-RFC6979 over GF(p) 256", spriv2, spub2, t); BenchMarkSigning("ECGDSA over GF(p) 256", spriv3, t); BenchMarkVerification("ECGDSA over GF(p) 256", spriv3, spub3, t); - BenchMarkKeyGen("x25519", x25519ka, t); - BenchMarkAgreement("x25519", x25519ka, t); BenchMarkKeyGen("ECDHC over GF(p) 256", ecdhc, t); BenchMarkAgreement("ECDHC over GF(p) 256", ecdhc, t); BenchMarkKeyGen("ECMQVC over GF(p) 256", ecmqvc, t); BenchMarkAgreement("ECMQVC over GF(p) 256", ecmqvc, t); } - std::cout << "\n"; + std::cout << "\n"; { ECIES::Decryptor cpriv(Test::GlobalRNG(), ASN1::sect233r1()); ECIES::Encryptor cpub(cpriv); diff --git a/cryptest.vcxproj b/cryptest.vcxproj index f928ff53..2ac87d9a 100644 --- a/cryptest.vcxproj +++ b/cryptest.vcxproj @@ -318,6 +318,7 @@ + diff --git a/cryptest.vcxproj.filters b/cryptest.vcxproj.filters index 282430d8..2dffdb40 100644 --- a/cryptest.vcxproj.filters +++ b/cryptest.vcxproj.filters @@ -279,6 +279,9 @@ TestData + + TestData + TestData @@ -518,4 +521,4 @@ Header Files - + \ No newline at end of file diff --git a/cryptlib.vcxproj b/cryptlib.vcxproj index 5abea15e..9bf9c1ad 100644 --- a/cryptlib.vcxproj +++ b/cryptlib.vcxproj @@ -418,6 +418,9 @@ + + + diff --git a/cryptlib.vcxproj.filters b/cryptlib.vcxproj.filters index d8d09eb9..51fff69a 100644 --- a/cryptlib.vcxproj.filters +++ b/cryptlib.vcxproj.filters @@ -639,6 +639,15 @@ Header Files + + Header Files + + + Header Files + + + Header Files + Header Files diff --git a/donna.h b/donna.h index 2c3d4722..68197290 100644 --- a/donna.h +++ b/donna.h @@ -1,13 +1,28 @@ // donna.h - written and placed in public domain by Jeffrey Walton -// This is a integration of Andrew Moon's public domain code. -// Also see https://github.com/floodyberry/curve25519-donna. +// Crypto++ specific implementation wrapped around Andrew +// Moon's public domain curve25519-donna and ed25519-donna, +// https://github.com/floodyberry/curve25519-donna and +// https://github.com/floodyberry/ed25519-donna. -// Benchmarking on a modern Core i5-6400 shows SSE2 on Linux is not -// profitable. You can enable it with CRYPTOPP_CURVE25519_SSE2. +// The curve25519 and ed25519 source files multiplex different repos and +// architectures using namespaces. The repos are Andrew Moon's +// curve25519-donna and ed25519-donna. The architectures are 32-bit, 64-bit +// and SSE. For example, 32-bit x25519 uses symbols from Donna::X25519 and +// Donna::Arch32. // If needed, see Moon's commit "Go back to ignoring 256th bit [sic]", // https://github.com/floodyberry/curve25519-donna/commit/57a683d18721a658 +/// \file donna.h +/// \details Functions for curve25519 and ed25519 operations +/// \details This header provides the entry points into Andrew Moon's +/// curve25519 and ed25519 curve functions. The Crypto++ classes x25519 +/// and ed25519 use the functions. The functions are in the Donna +/// namespace and are curve25519_mult(), ed25519_publickey(), +/// ed25519_sign() and ed25519_sign_open(). +/// \details At the moment the hash function for signing is fixed at +/// SHA512. + #ifndef CRYPTOPP_DONNA_H #define CRYPTOPP_DONNA_H @@ -17,25 +32,68 @@ NAMESPACE_BEGIN(CryptoPP) NAMESPACE_BEGIN(Donna) -/// \brief Generate public key +//***************************** curve25519 *****************************// + +/// \brief Generate a public key /// \param publicKey byte array for the public key /// \param secretKey byte array with the private key /// \returns 0 on success, non-0 otherwise -/// \details This curve25519() overload generates a public key from an existing -/// secret key. Internally curve25519() performs a scalar multiplication -/// using the base point and writes the result to pubkey. -int curve25519(byte publicKey[32], const byte secretKey[32]); +/// \details curve25519_mult() generates a public key from an existing +/// secret key. Internally curve25519_mult() performs a scalar +/// multiplication using the base point and writes the result to +/// pubkey. +int curve25519_mult(byte publicKey[32], const byte secretKey[32]); -/// \brief Generate shared key +/// \brief Generate a shared key /// \param sharedKey byte array for the shared secret /// \param secretKey byte array with the private key /// \param othersKey byte array with the peer's public key /// \returns 0 on success, non-0 otherwise -/// \details This curve25519() overload generates a shared key from an existing -/// a secret key and the other party's public key. Internally curve25519() -/// performs a scalar multiplication using the two keys and writes the result -/// to sharedKey. -int curve25519(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]); +/// \details curve25519_mult() generates a shared key from an existing +/// secret key and the other party's public key. Internally +/// curve25519_mult() performs a scalar multiplication using the two keys +/// and writes the result to sharedKey. +int curve25519_mult(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]); + +//******************************* ed25519 *******************************// + +/// \brief Creates a public key from a secret key +/// \param publicKey byte array for the public key +/// \param secretKey byte array with the private key +/// \returns 0 on success, non-0 otherwise +/// \details ed25519_publickey() generates a public key from a secret key. +/// Internally ed25519_publickey() performs a scalar multiplication +/// using the secret key and then writes the result to publicKey. +int ed25519_publickey(byte publicKey[32], const byte secretKey[32]); + +/// \brief Creates a signature on a message +/// \param message byte array with the message +/// \param messageLength size of the message, in bytes +/// \param publicKey byte array with the public key +/// \param secretKey byte array with the private key +/// \param signature byte array for the signature +/// \returns 0 on success, non-0 otherwise +/// \details ed25519_sign() generates a signature on a message using +/// the public and private keys. The various buffers can be exact +/// sizes, and do not require extra space like when using the +/// NaCl library functions. +/// \details At the moment the hash function for signing is fixed at +/// SHA512. +int ed25519_sign(const byte* message, size_t messageLength, const byte secretKey[32], const byte publicKey[32], byte signature[64]); + +/// \brief Verifies a signature on a message +/// \param message byte array with the message +/// \param messageLength size of the message, in bytes +/// \param publicKey byte array with the public key +/// \param signature byte array with the signature +/// \returns 0 on success, non-0 otherwise +/// \details ed25519_sign_open() verifies a signature on a message using +/// the public. The various buffers can be exact sizes, and do not +/// require extra space like when using the NaCl library functions. +/// \details At the moment the hash function for signing is fixed at +/// SHA512. +int +ed25519_sign_open(const byte *message, size_t messageLength, const byte publicKey[32], const byte signature[64]); //****************************** Internal ******************************// @@ -62,7 +120,7 @@ int curve25519(byte sharedKey[32], const byte secretKey[32], const byte othersKe // * Moon, SSE2: 0.061 // * Moon, native: 0.045 // -// However, a modern 64-bit Core i5-3200 @2.3 GHz shows SSE2 is profitable +// However, a modern 64-bit Core i5-3200 @2.5 GHz shows SSE2 is profitable // for MS compilers. Here are the numbers in milliseconds/operation: // // * x86, no SSE2, 0.294 @@ -75,7 +133,7 @@ int curve25519(byte sharedKey[32], const byte secretKey[32], const byte othersKe #endif #if (CRYPTOPP_CURVE25519_SSE2) - extern int curve25519_SSE2(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]); + extern int curve25519_mult_SSE2(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]); #endif NAMESPACE_END // Donna diff --git a/donna_32.cpp b/donna_32.cpp index ce4fe057..9fe5d22b 100644 --- a/donna_32.cpp +++ b/donna_32.cpp @@ -1,6 +1,19 @@ // donna_32.cpp - written and placed in public domain by Jeffrey Walton -// This is a integration of Andrew Moon's public domain code. -// Also see https://github.com/floodyberry/curve25519-donna. +// Crypto++ specific implementation wrapped around Andrew +// Moon's public domain curve25519-donna and ed25519-donna, +// https://github.com/floodyberry/curve25519-donna and +// https://github.com/floodyberry/ed25519-donna. + +// The curve25519 and ed25519 source files multiplex different repos and +// architectures using namespaces. The repos are Andrew Moon's +// curve25519-donna and ed25519-donna. The architectures are 32-bit, 64-bit +// and SSE. For example, 32-bit x25519 uses symbols from Donna::X25519 and +// Donna::Arch32. + +// A fair amount of duplication happens below, but we could not directly +// use curve25519 for both x25519 and ed25519. A close examination reveals +// slight differences in the implementation. For example, look at the +// two curve25519_sub functions. // If needed, see Moon's commit "Go back to ignoring 256th bit [sic]", // https://github.com/floodyberry/curve25519-donna/commit/57a683d18721a658 @@ -10,6 +23,7 @@ #include "config.h" #include "donna.h" #include "secblock.h" +#include "sha.h" #include "misc.h" #include "cpu.h" @@ -18,9 +32,33 @@ extern const char DONNA32_FNAME[] = __FILE__; #if defined(CRYPTOPP_CURVE25519_32BIT) +#include "donna_32.h" + +ANONYMOUS_NAMESPACE_BEGIN + +using CryptoPP::byte; +using CryptoPP::word32; +using CryptoPP::GetWord; +using CryptoPP::PutWord; +using CryptoPP::LITTLE_ENDIAN_ORDER; + +inline word32 U8TO32_LE(const byte* p) +{ + return GetWord(false, LITTLE_ENDIAN_ORDER, p); +} + +inline void U32TO8_LE(byte* p, word32 w) +{ + PutWord(false, LITTLE_ENDIAN_ORDER, p, w); +} + +ANONYMOUS_NAMESPACE_END + +NAMESPACE_BEGIN(CryptoPP) +NAMESPACE_BEGIN(Donna) +NAMESPACE_BEGIN(X25519) ANONYMOUS_NAMESPACE_BEGIN -using std::memcpy; using CryptoPP::byte; using CryptoPP::word32; using CryptoPP::sword32; @@ -28,17 +66,10 @@ using CryptoPP::word64; using CryptoPP::sword64; using CryptoPP::GetBlock; -using CryptoPP::BigEndian; using CryptoPP::LittleEndian; -typedef word32 bignum25519[10]; - -#define mul32x32_64(a,b) (((word64)(a))*(b)) -#define ALIGN(n) CRYPTOPP_ALIGN_DATA(n) - -const byte basePoint[32] = {9}; -const word32 reduce_mask_25 = (1 << 25) - 1; -const word32 reduce_mask_26 = (1 << 26) - 1; +// Bring in all the symbols from the 32-bit header +using namespace CryptoPP::Donna::Arch32; /* out = in */ inline void @@ -278,9 +309,7 @@ curve25519_square_times(bignum25519 out, const bignum25519 in, int count) { /* Take a little-endian, 32-byte number and expand it into polynomial form */ void curve25519_expand(bignum25519 out, const byte in[32]) { - word32 x0,x1,x2,x3,x4,x5,x6,x7; - GetBlock block(in); block(x0)(x1)(x2)(x3)(x4)(x5)(x6)(x7); @@ -363,18 +392,12 @@ curve25519_contract(byte out[32], const bignum25519 in) { out[s+2] = (byte)((f[i] >> 16) & 0xff); \ out[s+3] = (byte)((f[i] >> 24) & 0xff); - out[0] = 0; - out[16] = 0; - F(0,0); - F(1,3); - F(2,6); - F(3,9); - F(4,12); - F(5,16); - F(6,19); - F(7,22); - F(8,25); - F(9,28); + out[0] = out[16] = 0; + F(0,0); F(1,3); + F(2,6); F(3,9); + F(4,12); F(5,16); + F(6,19); F(7,22); + F(8,25); F(9,28); #undef F } @@ -439,12 +462,1278 @@ curve25519_recip(bignum25519 out, const bignum25519 z) { } ANONYMOUS_NAMESPACE_END +NAMESPACE_END // X25519 +NAMESPACE_END // Donna +NAMESPACE_END // CryptoPP + +//******************************* ed25519 *******************************// + +NAMESPACE_BEGIN(CryptoPP) +NAMESPACE_BEGIN(Donna) +NAMESPACE_BEGIN(Ed25519) +ANONYMOUS_NAMESPACE_BEGIN + +using CryptoPP::byte; +using CryptoPP::word32; +using CryptoPP::sword32; +using CryptoPP::word64; +using CryptoPP::sword64; + +using CryptoPP::GetBlock; +using CryptoPP::LittleEndian; + +using CryptoPP::SHA512; + +// Bring in all the symbols from the 32-bit header +using namespace CryptoPP::Donna::Arch32; + +/* out = in */ +inline void +curve25519_copy(bignum25519 out, const bignum25519 in) { + out[0] = in[0]; out[1] = in[1]; + out[2] = in[2]; out[3] = in[3]; + out[4] = in[4]; out[5] = in[5]; + out[6] = in[6]; out[7] = in[7]; + out[8] = in[8]; out[9] = in[9]; +} + +/* out = a + b */ +inline void +curve25519_add(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + b[0]; out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; out[5] = a[5] + b[5]; + out[6] = a[6] + b[6]; out[7] = a[7] + b[7]; + out[8] = a[8] + b[8]; out[9] = a[9] + b[9]; +} + +inline void +curve25519_add_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) { + word32 c; + out[0] = a[0] + b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26; + out[1] = a[1] + b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25; + out[2] = a[2] + b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26; + out[3] = a[3] + b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25; + out[4] = a[4] + b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26; + out[5] = a[5] + b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25; + out[6] = a[6] + b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26; + out[7] = a[7] + b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25; + out[8] = a[8] + b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26; + out[9] = a[9] + b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25; + out[0] += 19 * c; +} + +inline void +curve25519_add_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { + word32 c; + out[0] = a[0] + b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26; + out[1] = a[1] + b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25; + out[2] = a[2] + b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26; + out[3] = a[3] + b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25; + out[4] = a[4] + b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26; + out[5] = a[5] + b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25; + out[6] = a[6] + b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26; + out[7] = a[7] + b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25; + out[8] = a[8] + b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26; + out[9] = a[9] + b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25; + out[0] += 19 * c; +} + +/* out = a - b */ +inline void +curve25519_sub(bignum25519 out, const bignum25519 a, const bignum25519 b) { + word32 c; + out[0] = twoP0 + a[0] - b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26; + out[1] = twoP13579 + a[1] - b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25; + out[2] = twoP2468 + a[2] - b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26; + out[3] = twoP13579 + a[3] - b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25; + out[4] = twoP2468 + a[4] - b[4] + c; + out[5] = twoP13579 + a[5] - b[5] ; + out[6] = twoP2468 + a[6] - b[6] ; + out[7] = twoP13579 + a[7] - b[7] ; + out[8] = twoP2468 + a[8] - b[8] ; + out[9] = twoP13579 + a[9] - b[9] ; +} + +/* out = a - b, where a is the result of a basic op (add,sub) */ +inline void +curve25519_sub_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) { + word32 c; + out[0] = fourP0 + a[0] - b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26; + out[1] = fourP13579 + a[1] - b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25; + out[2] = fourP2468 + a[2] - b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26; + out[3] = fourP13579 + a[3] - b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25; + out[4] = fourP2468 + a[4] - b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26; + out[5] = fourP13579 + a[5] - b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25; + out[6] = fourP2468 + a[6] - b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26; + out[7] = fourP13579 + a[7] - b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25; + out[8] = fourP2468 + a[8] - b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26; + out[9] = fourP13579 + a[9] - b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25; + out[0] += 19 * c; +} + +inline void +curve25519_sub_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { + word32 c; + out[0] = fourP0 + a[0] - b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26; + out[1] = fourP13579 + a[1] - b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25; + out[2] = fourP2468 + a[2] - b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26; + out[3] = fourP13579 + a[3] - b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25; + out[4] = fourP2468 + a[4] - b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26; + out[5] = fourP13579 + a[5] - b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25; + out[6] = fourP2468 + a[6] - b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26; + out[7] = fourP13579 + a[7] - b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25; + out[8] = fourP2468 + a[8] - b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26; + out[9] = fourP13579 + a[9] - b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25; + out[0] += 19 * c; +} + +/* out = -a */ +inline void +curve25519_neg(bignum25519 out, const bignum25519 a) { + word32 c; + out[0] = twoP0 - a[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26; + out[1] = twoP13579 - a[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25; + out[2] = twoP2468 - a[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26; + out[3] = twoP13579 - a[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25; + out[4] = twoP2468 - a[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26; + out[5] = twoP13579 - a[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25; + out[6] = twoP2468 - a[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26; + out[7] = twoP13579 - a[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25; + out[8] = twoP2468 - a[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26; + out[9] = twoP13579 - a[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25; + out[0] += 19 * c; +} + +/* out = a * b */ +void +curve25519_mul(bignum25519 out, const bignum25519 a, const bignum25519 b) { + word32 r0,r1,r2,r3,r4,r5,r6,r7,r8,r9; + word32 s0,s1,s2,s3,s4,s5,s6,s7,s8,s9; + word64 m0,m1,m2,m3,m4,m5,m6,m7,m8,m9,c; + word32 p; + + r0 = b[0]; r1 = b[1]; + r2 = b[2]; r3 = b[3]; + r4 = b[4]; r5 = b[5]; + r6 = b[6]; r7 = b[7]; + r8 = b[8]; r9 = b[9]; + + s0 = a[0]; s1 = a[1]; + s2 = a[2]; s3 = a[3]; + s4 = a[4]; s5 = a[5]; + s6 = a[6]; s7 = a[7]; + s8 = a[8]; s9 = a[9]; + + m1 = mul32x32_64(r0, s1) + mul32x32_64(r1, s0); + m3 = mul32x32_64(r0, s3) + mul32x32_64(r1, s2) + mul32x32_64(r2, s1) + mul32x32_64(r3, s0); + m5 = mul32x32_64(r0, s5) + mul32x32_64(r1, s4) + mul32x32_64(r2, s3) + mul32x32_64(r3, s2) + mul32x32_64(r4, s1) + mul32x32_64(r5, s0); + m7 = mul32x32_64(r0, s7) + mul32x32_64(r1, s6) + mul32x32_64(r2, s5) + mul32x32_64(r3, s4) + mul32x32_64(r4, s3) + mul32x32_64(r5, s2) + mul32x32_64(r6, s1) + mul32x32_64(r7, s0); + m9 = mul32x32_64(r0, s9) + mul32x32_64(r1, s8) + mul32x32_64(r2, s7) + mul32x32_64(r3, s6) + mul32x32_64(r4, s5) + mul32x32_64(r5, s4) + mul32x32_64(r6, s3) + mul32x32_64(r7, s2) + mul32x32_64(r8, s1) + mul32x32_64(r9, s0); + + r1 *= 2; r3 *= 2; + r5 *= 2; r7 *= 2; + + m0 = mul32x32_64(r0, s0); + m2 = mul32x32_64(r0, s2) + mul32x32_64(r1, s1) + mul32x32_64(r2, s0); + m4 = mul32x32_64(r0, s4) + mul32x32_64(r1, s3) + mul32x32_64(r2, s2) + mul32x32_64(r3, s1) + mul32x32_64(r4, s0); + m6 = mul32x32_64(r0, s6) + mul32x32_64(r1, s5) + mul32x32_64(r2, s4) + mul32x32_64(r3, s3) + mul32x32_64(r4, s2) + mul32x32_64(r5, s1) + mul32x32_64(r6, s0); + m8 = mul32x32_64(r0, s8) + mul32x32_64(r1, s7) + mul32x32_64(r2, s6) + mul32x32_64(r3, s5) + mul32x32_64(r4, s4) + mul32x32_64(r5, s3) + mul32x32_64(r6, s2) + mul32x32_64(r7, s1) + mul32x32_64(r8, s0); + + r1 *= 19; r2 *= 19; + r3 = (r3 / 2) * 19; + r4 *= 19; + r5 = (r5 / 2) * 19; + r6 *= 19; + r7 = (r7 / 2) * 19; + r8 *= 19; r9 *= 19; + + m1 += (mul32x32_64(r9, s2) + mul32x32_64(r8, s3) + mul32x32_64(r7, s4) + mul32x32_64(r6, s5) + mul32x32_64(r5, s6) + mul32x32_64(r4, s7) + mul32x32_64(r3, s8) + mul32x32_64(r2, s9)); + m3 += (mul32x32_64(r9, s4) + mul32x32_64(r8, s5) + mul32x32_64(r7, s6) + mul32x32_64(r6, s7) + mul32x32_64(r5, s8) + mul32x32_64(r4, s9)); + m5 += (mul32x32_64(r9, s6) + mul32x32_64(r8, s7) + mul32x32_64(r7, s8) + mul32x32_64(r6, s9)); + m7 += (mul32x32_64(r9, s8) + mul32x32_64(r8, s9)); + + r3 *= 2; r5 *= 2; + r7 *= 2; r9 *= 2; + + m0 += (mul32x32_64(r9, s1) + mul32x32_64(r8, s2) + mul32x32_64(r7, s3) + mul32x32_64(r6, s4) + mul32x32_64(r5, s5) + mul32x32_64(r4, s6) + mul32x32_64(r3, s7) + mul32x32_64(r2, s8) + mul32x32_64(r1, s9)); + m2 += (mul32x32_64(r9, s3) + mul32x32_64(r8, s4) + mul32x32_64(r7, s5) + mul32x32_64(r6, s6) + mul32x32_64(r5, s7) + mul32x32_64(r4, s8) + mul32x32_64(r3, s9)); + m4 += (mul32x32_64(r9, s5) + mul32x32_64(r8, s6) + mul32x32_64(r7, s7) + mul32x32_64(r6, s8) + mul32x32_64(r5, s9)); + m6 += (mul32x32_64(r9, s7) + mul32x32_64(r8, s8) + mul32x32_64(r7, s9)); + m8 += (mul32x32_64(r9, s9)); + + r0 = (word32)m0 & reduce_mask_26; c = (m0 >> 26); + m1 += c; r1 = (word32)m1 & reduce_mask_25; c = (m1 >> 25); + m2 += c; r2 = (word32)m2 & reduce_mask_26; c = (m2 >> 26); + m3 += c; r3 = (word32)m3 & reduce_mask_25; c = (m3 >> 25); + m4 += c; r4 = (word32)m4 & reduce_mask_26; c = (m4 >> 26); + m5 += c; r5 = (word32)m5 & reduce_mask_25; c = (m5 >> 25); + m6 += c; r6 = (word32)m6 & reduce_mask_26; c = (m6 >> 26); + m7 += c; r7 = (word32)m7 & reduce_mask_25; c = (m7 >> 25); + m8 += c; r8 = (word32)m8 & reduce_mask_26; c = (m8 >> 26); + m9 += c; r9 = (word32)m9 & reduce_mask_25; p = (word32)(m9 >> 25); + m0 = r0 + mul32x32_64(p,19); r0 = (word32)m0 & reduce_mask_26; p = (word32)(m0 >> 26); + r1 += p; + + out[0] = r0; out[1] = r1; + out[2] = r2; out[3] = r3; + out[4] = r4; out[5] = r5; + out[6] = r6; out[7] = r7; + out[8] = r8; out[9] = r9; +} + +/* out = in*in */ +void +curve25519_square(bignum25519 out, const bignum25519 in) { + word32 r0,r1,r2,r3,r4,r5,r6,r7,r8,r9; + word32 d6,d7,d8,d9; + word64 m0,m1,m2,m3,m4,m5,m6,m7,m8,m9,c; + word32 p; + + r0 = in[0]; r1 = in[1]; + r2 = in[2]; r3 = in[3]; + r4 = in[4]; r5 = in[5]; + r6 = in[6]; r7 = in[7]; + r8 = in[8]; r9 = in[9]; + + m0 = mul32x32_64(r0, r0); + r0 *= 2; + m1 = mul32x32_64(r0, r1); + m2 = mul32x32_64(r0, r2) + mul32x32_64(r1, r1 * 2); + r1 *= 2; + m3 = mul32x32_64(r0, r3) + mul32x32_64(r1, r2 ); + m4 = mul32x32_64(r0, r4) + mul32x32_64(r1, r3 * 2) + mul32x32_64(r2, r2); + r2 *= 2; + m5 = mul32x32_64(r0, r5) + mul32x32_64(r1, r4 ) + mul32x32_64(r2, r3); + m6 = mul32x32_64(r0, r6) + mul32x32_64(r1, r5 * 2) + mul32x32_64(r2, r4) + mul32x32_64(r3, r3 * 2); + r3 *= 2; + m7 = mul32x32_64(r0, r7) + mul32x32_64(r1, r6 ) + mul32x32_64(r2, r5) + mul32x32_64(r3, r4 ); + m8 = mul32x32_64(r0, r8) + mul32x32_64(r1, r7 * 2) + mul32x32_64(r2, r6) + mul32x32_64(r3, r5 * 2) + mul32x32_64(r4, r4 ); + m9 = mul32x32_64(r0, r9) + mul32x32_64(r1, r8 ) + mul32x32_64(r2, r7) + mul32x32_64(r3, r6 ) + mul32x32_64(r4, r5 * 2); + + d6 = r6 * 19; + d7 = r7 * 2 * 19; + d8 = r8 * 19; + d9 = r9 * 2 * 19; + + m0 += (mul32x32_64(d9, r1 ) + mul32x32_64(d8, r2 ) + mul32x32_64(d7, r3 ) + mul32x32_64(d6, r4 * 2) + mul32x32_64(r5, r5 * 2 * 19)); + m1 += (mul32x32_64(d9, r2 / 2) + mul32x32_64(d8, r3 ) + mul32x32_64(d7, r4 ) + mul32x32_64(d6, r5 * 2)); + m2 += (mul32x32_64(d9, r3 ) + mul32x32_64(d8, r4 * 2) + mul32x32_64(d7, r5 * 2) + mul32x32_64(d6, r6 )); + m3 += (mul32x32_64(d9, r4 ) + mul32x32_64(d8, r5 * 2) + mul32x32_64(d7, r6 )); + m4 += (mul32x32_64(d9, r5 * 2) + mul32x32_64(d8, r6 * 2) + mul32x32_64(d7, r7 )); + m5 += (mul32x32_64(d9, r6 ) + mul32x32_64(d8, r7 * 2)); + m6 += (mul32x32_64(d9, r7 * 2) + mul32x32_64(d8, r8 )); + m7 += (mul32x32_64(d9, r8 )); + m8 += (mul32x32_64(d9, r9 )); + + r0 = (word32)m0 & reduce_mask_26; c = (m0 >> 26); + m1 += c; r1 = (word32)m1 & reduce_mask_25; c = (m1 >> 25); + m2 += c; r2 = (word32)m2 & reduce_mask_26; c = (m2 >> 26); + m3 += c; r3 = (word32)m3 & reduce_mask_25; c = (m3 >> 25); + m4 += c; r4 = (word32)m4 & reduce_mask_26; c = (m4 >> 26); + m5 += c; r5 = (word32)m5 & reduce_mask_25; c = (m5 >> 25); + m6 += c; r6 = (word32)m6 & reduce_mask_26; c = (m6 >> 26); + m7 += c; r7 = (word32)m7 & reduce_mask_25; c = (m7 >> 25); + m8 += c; r8 = (word32)m8 & reduce_mask_26; c = (m8 >> 26); + m9 += c; r9 = (word32)m9 & reduce_mask_25; p = (word32)(m9 >> 25); + m0 = r0 + mul32x32_64(p,19); r0 = (word32)m0 & reduce_mask_26; p = (word32)(m0 >> 26); + r1 += p; + + out[0] = r0; out[1] = r1; + out[2] = r2; out[3] = r3; + out[4] = r4; out[5] = r5; + out[6] = r6; out[7] = r7; + out[8] = r8; out[9] = r9; +} + +/* out = in ^ (2 * count) */ +void +curve25519_square_times(bignum25519 out, const bignum25519 in, int count) { + word32 r0,r1,r2,r3,r4,r5,r6,r7,r8,r9; + word32 d6,d7,d8,d9,p; + word64 m0,m1,m2,m3,m4,m5,m6,m7,m8,m9,c; + + r0 = in[0]; r1 = in[1]; + r2 = in[2]; r3 = in[3]; + r4 = in[4]; r5 = in[5]; + r6 = in[6]; r7 = in[7]; + r8 = in[8]; r9 = in[9]; + + do { + m0 = mul32x32_64(r0, r0); + r0 *= 2; + m1 = mul32x32_64(r0, r1); + m2 = mul32x32_64(r0, r2) + mul32x32_64(r1, r1 * 2); + r1 *= 2; + m3 = mul32x32_64(r0, r3) + mul32x32_64(r1, r2 ); + m4 = mul32x32_64(r0, r4) + mul32x32_64(r1, r3 * 2) + mul32x32_64(r2, r2); + r2 *= 2; + m5 = mul32x32_64(r0, r5) + mul32x32_64(r1, r4 ) + mul32x32_64(r2, r3); + m6 = mul32x32_64(r0, r6) + mul32x32_64(r1, r5 * 2) + mul32x32_64(r2, r4) + mul32x32_64(r3, r3 * 2); + r3 *= 2; + m7 = mul32x32_64(r0, r7) + mul32x32_64(r1, r6 ) + mul32x32_64(r2, r5) + mul32x32_64(r3, r4 ); + m8 = mul32x32_64(r0, r8) + mul32x32_64(r1, r7 * 2) + mul32x32_64(r2, r6) + mul32x32_64(r3, r5 * 2) + mul32x32_64(r4, r4 ); + m9 = mul32x32_64(r0, r9) + mul32x32_64(r1, r8 ) + mul32x32_64(r2, r7) + mul32x32_64(r3, r6 ) + mul32x32_64(r4, r5 * 2); + + d6 = r6 * 19; + d7 = r7 * 2 * 19; + d8 = r8 * 19; + d9 = r9 * 2 * 19; + + m0 += (mul32x32_64(d9, r1 ) + mul32x32_64(d8, r2 ) + mul32x32_64(d7, r3 ) + mul32x32_64(d6, r4 * 2) + mul32x32_64(r5, r5 * 2 * 19)); + m1 += (mul32x32_64(d9, r2 / 2) + mul32x32_64(d8, r3 ) + mul32x32_64(d7, r4 ) + mul32x32_64(d6, r5 * 2)); + m2 += (mul32x32_64(d9, r3 ) + mul32x32_64(d8, r4 * 2) + mul32x32_64(d7, r5 * 2) + mul32x32_64(d6, r6 )); + m3 += (mul32x32_64(d9, r4 ) + mul32x32_64(d8, r5 * 2) + mul32x32_64(d7, r6 )); + m4 += (mul32x32_64(d9, r5 * 2) + mul32x32_64(d8, r6 * 2) + mul32x32_64(d7, r7 )); + m5 += (mul32x32_64(d9, r6 ) + mul32x32_64(d8, r7 * 2)); + m6 += (mul32x32_64(d9, r7 * 2) + mul32x32_64(d8, r8 )); + m7 += (mul32x32_64(d9, r8 )); + m8 += (mul32x32_64(d9, r9 )); + + r0 = (word32)m0 & reduce_mask_26; c = (m0 >> 26); + m1 += c; r1 = (word32)m1 & reduce_mask_25; c = (m1 >> 25); + m2 += c; r2 = (word32)m2 & reduce_mask_26; c = (m2 >> 26); + m3 += c; r3 = (word32)m3 & reduce_mask_25; c = (m3 >> 25); + m4 += c; r4 = (word32)m4 & reduce_mask_26; c = (m4 >> 26); + m5 += c; r5 = (word32)m5 & reduce_mask_25; c = (m5 >> 25); + m6 += c; r6 = (word32)m6 & reduce_mask_26; c = (m6 >> 26); + m7 += c; r7 = (word32)m7 & reduce_mask_25; c = (m7 >> 25); + m8 += c; r8 = (word32)m8 & reduce_mask_26; c = (m8 >> 26); + m9 += c; r9 = (word32)m9 & reduce_mask_25; p = (word32)(m9 >> 25); + m0 = r0 + mul32x32_64(p,19); r0 = (word32)m0 & reduce_mask_26; p = (word32)(m0 >> 26); + r1 += p; + } while (--count); + + out[0] = r0; out[1] = r1; + out[2] = r2; out[3] = r3; + out[4] = r4; out[5] = r5; + out[6] = r6; out[7] = r7; + out[8] = r8; out[9] = r9; +} + +/* Take a little-endian, 32-byte number and expand it into polynomial form */ +void +curve25519_expand(bignum25519 out, const byte in[32]) { + word32 x0,x1,x2,x3,x4,x5,x6,x7; + GetBlock block(in); + block(x0)(x1)(x2)(x3)(x4)(x5)(x6)(x7); + + out[0] = ( x0 ) & 0x3ffffff; + out[1] = ((((word64)x1 << 32) | x0) >> 26) & 0x1ffffff; + out[2] = ((((word64)x2 << 32) | x1) >> 19) & 0x3ffffff; + out[3] = ((((word64)x3 << 32) | x2) >> 13) & 0x1ffffff; + out[4] = (( x3) >> 6) & 0x3ffffff; + out[5] = ( x4 ) & 0x1ffffff; + out[6] = ((((word64)x5 << 32) | x4) >> 25) & 0x3ffffff; + out[7] = ((((word64)x6 << 32) | x5) >> 19) & 0x1ffffff; + out[8] = ((((word64)x7 << 32) | x6) >> 12) & 0x3ffffff; + out[9] = (( x7) >> 6) & 0x1ffffff; +} + +/* Take a fully reduced polynomial form number and contract it into a + * little-endian, 32-byte array + */ +void +curve25519_contract(byte out[32], const bignum25519 in) { + bignum25519 f; + curve25519_copy(f, in); + + #define carry_pass() \ + f[1] += f[0] >> 26; f[0] &= reduce_mask_26; \ + f[2] += f[1] >> 25; f[1] &= reduce_mask_25; \ + f[3] += f[2] >> 26; f[2] &= reduce_mask_26; \ + f[4] += f[3] >> 25; f[3] &= reduce_mask_25; \ + f[5] += f[4] >> 26; f[4] &= reduce_mask_26; \ + f[6] += f[5] >> 25; f[5] &= reduce_mask_25; \ + f[7] += f[6] >> 26; f[6] &= reduce_mask_26; \ + f[8] += f[7] >> 25; f[7] &= reduce_mask_25; \ + f[9] += f[8] >> 26; f[8] &= reduce_mask_26; + + #define carry_pass_full() \ + carry_pass() \ + f[0] += 19 * (f[9] >> 25); f[9] &= reduce_mask_25; + + #define carry_pass_final() \ + carry_pass() \ + f[9] &= reduce_mask_25; + + carry_pass_full() + carry_pass_full() + + /* now t is between 0 and 2^255-1, properly carried. */ + /* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */ + f[0] += 19; + carry_pass_full() + + /* now between 19 and 2^255-1 in both cases, and offset by 19. */ + f[0] += (reduce_mask_26 + 1) - 19; + f[1] += (reduce_mask_25 + 1) - 1; + f[2] += (reduce_mask_26 + 1) - 1; + f[3] += (reduce_mask_25 + 1) - 1; + f[4] += (reduce_mask_26 + 1) - 1; + f[5] += (reduce_mask_25 + 1) - 1; + f[6] += (reduce_mask_26 + 1) - 1; + f[7] += (reduce_mask_25 + 1) - 1; + f[8] += (reduce_mask_26 + 1) - 1; + f[9] += (reduce_mask_25 + 1) - 1; + + /* now between 2^255 and 2^256-20, and offset by 2^255. */ + carry_pass_final() + + #undef carry_pass + #undef carry_full + #undef carry_final + + f[1] <<= 2; f[2] <<= 3; + f[3] <<= 5; f[4] <<= 6; + f[6] <<= 1; f[7] <<= 3; + f[8] <<= 4; f[9] <<= 6; + + #define F(i, s) \ + out[s+0] |= (byte)( f[i] & 0xff); \ + out[s+1] = (byte)((f[i] >> 8) & 0xff); \ + out[s+2] = (byte)((f[i] >> 16) & 0xff); \ + out[s+3] = (byte)((f[i] >> 24) & 0xff); + + out[0] = out[16] = 0; + F(0,0); F(1,3); + F(2,6); F(3,9); + F(4,12); F(5,16); + F(6,19); F(7,22); + F(8,25); F(9,28); + #undef F +} + +/* out = (flag) ? in : out */ +inline void +curve25519_move_conditional_bytes(byte out[96], const byte in[96], word32 flag) { + const word32 nb = flag - 1, b = ~nb; + const word32 *inl = (const word32 *)in; + word32 *outl = (word32 *)out; + outl[0] = (outl[0] & nb) | (inl[0] & b); + outl[1] = (outl[1] & nb) | (inl[1] & b); + outl[2] = (outl[2] & nb) | (inl[2] & b); + outl[3] = (outl[3] & nb) | (inl[3] & b); + outl[4] = (outl[4] & nb) | (inl[4] & b); + outl[5] = (outl[5] & nb) | (inl[5] & b); + outl[6] = (outl[6] & nb) | (inl[6] & b); + outl[7] = (outl[7] & nb) | (inl[7] & b); + outl[8] = (outl[8] & nb) | (inl[8] & b); + outl[9] = (outl[9] & nb) | (inl[9] & b); + outl[10] = (outl[10] & nb) | (inl[10] & b); + outl[11] = (outl[11] & nb) | (inl[11] & b); + outl[12] = (outl[12] & nb) | (inl[12] & b); + outl[13] = (outl[13] & nb) | (inl[13] & b); + outl[14] = (outl[14] & nb) | (inl[14] & b); + outl[15] = (outl[15] & nb) | (inl[15] & b); + outl[16] = (outl[16] & nb) | (inl[16] & b); + outl[17] = (outl[17] & nb) | (inl[17] & b); + outl[18] = (outl[18] & nb) | (inl[18] & b); + outl[19] = (outl[19] & nb) | (inl[19] & b); + outl[20] = (outl[20] & nb) | (inl[20] & b); + outl[21] = (outl[21] & nb) | (inl[21] & b); + outl[22] = (outl[22] & nb) | (inl[22] & b); + outl[23] = (outl[23] & nb) | (inl[23] & b); +} + +/* if (iswap) swap(a, b) */ +inline void +curve25519_swap_conditional(bignum25519 a, bignum25519 b, word32 iswap) { + const word32 swap = (word32)(-(sword32)iswap); + word32 x0,x1,x2,x3,x4,x5,x6,x7,x8,x9; + + x0 = swap & (a[0] ^ b[0]); a[0] ^= x0; b[0] ^= x0; + x1 = swap & (a[1] ^ b[1]); a[1] ^= x1; b[1] ^= x1; + x2 = swap & (a[2] ^ b[2]); a[2] ^= x2; b[2] ^= x2; + x3 = swap & (a[3] ^ b[3]); a[3] ^= x3; b[3] ^= x3; + x4 = swap & (a[4] ^ b[4]); a[4] ^= x4; b[4] ^= x4; + x5 = swap & (a[5] ^ b[5]); a[5] ^= x5; b[5] ^= x5; + x6 = swap & (a[6] ^ b[6]); a[6] ^= x6; b[6] ^= x6; + x7 = swap & (a[7] ^ b[7]); a[7] ^= x7; b[7] ^= x7; + x8 = swap & (a[8] ^ b[8]); a[8] ^= x8; b[8] ^= x8; + x9 = swap & (a[9] ^ b[9]); a[9] ^= x9; b[9] ^= x9; +} + +/* + * In: b = 2^5 - 2^0 + * Out: b = 2^250 - 2^0 + */ +void +curve25519_pow_two5mtwo0_two250mtwo0(bignum25519 b) { + ALIGN(16) bignum25519 t0,c; + + /* 2^5 - 2^0 */ /* b */ + /* 2^10 - 2^5 */ curve25519_square_times(t0, b, 5); + /* 2^10 - 2^0 */ curve25519_mul(b, t0, b); + /* 2^20 - 2^10 */ curve25519_square_times(t0, b, 10); + /* 2^20 - 2^0 */ curve25519_mul(c, t0, b); + /* 2^40 - 2^20 */ curve25519_square_times(t0, c, 20); + /* 2^40 - 2^0 */ curve25519_mul(t0, t0, c); + /* 2^50 - 2^10 */ curve25519_square_times(t0, t0, 10); + /* 2^50 - 2^0 */ curve25519_mul(b, t0, b); + /* 2^100 - 2^50 */ curve25519_square_times(t0, b, 50); + /* 2^100 - 2^0 */ curve25519_mul(c, t0, b); + /* 2^200 - 2^100 */ curve25519_square_times(t0, c, 100); + /* 2^200 - 2^0 */ curve25519_mul(t0, t0, c); + /* 2^250 - 2^50 */ curve25519_square_times(t0, t0, 50); + /* 2^250 - 2^0 */ curve25519_mul(b, t0, b); +} + +/* + * z^(p - 2) = z(2^255 - 21) + */ +void +curve25519_recip(bignum25519 out, const bignum25519 z) { + ALIGN(16) bignum25519 a,t0,b; + + /* 2 */ curve25519_square_times(a, z, 1); /* a = 2 */ + /* 8 */ curve25519_square_times(t0, a, 2); + /* 9 */ curve25519_mul(b, t0, z); /* b = 9 */ + /* 11 */ curve25519_mul(a, b, a); /* a = 11 */ + /* 22 */ curve25519_square_times(t0, a, 1); + /* 2^5 - 2^0 = 31 */ curve25519_mul(b, t0, b); + /* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b); + /* 2^255 - 2^5 */ curve25519_square_times(b, b, 5); + /* 2^255 - 21 */ curve25519_mul(out, b, a); +} + +/* + * z^((p-5)/8) = z^(2^252 - 3) + */ +void +curve25519_pow_two252m3(bignum25519 two252m3, const bignum25519 z) { + ALIGN(16) bignum25519 b,c,t0; + + /* 2 */ curve25519_square_times(c, z, 1); /* c = 2 */ + /* 8 */ curve25519_square_times(t0, c, 2); /* t0 = 8 */ + /* 9 */ curve25519_mul(b, t0, z); /* b = 9 */ + /* 11 */ curve25519_mul(c, b, c); /* c = 11 */ + /* 22 */ curve25519_square_times(t0, c, 1); + /* 2^5 - 2^0 = 31 */ curve25519_mul(b, t0, b); + /* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b); + /* 2^252 - 2^2 */ curve25519_square_times(b, b, 2); + /* 2^252 - 3 */ curve25519_mul(two252m3, b, z); +} + +inline void +ed25519_hash(byte *hash, const byte *in, size_t inlen) { + SHA512().CalculateDigest(hash, in, inlen); +} + +inline void +ed25519_extsk(hash_512bits extsk, const byte sk[32]) { + ed25519_hash(extsk, sk, 32); + extsk[0] &= 248; + extsk[31] &= 127; + extsk[31] |= 64; +} + +void +ed25519_hram(hash_512bits hram, const byte RS[64], const byte pk[32], const unsigned char *m, size_t mlen) { + SHA512 hash; + hash.Update(RS, 32); + hash.Update(pk, 32); + hash.Update(m, mlen); + hash.Final(hram); +} + +inline bignum256modm_element_t +lt_modm(bignum256modm_element_t a, bignum256modm_element_t b) { + return (a - b) >> 31; +} + +/* see HAC, Alg. 14.42 Step 4 */ +void +reduce256_modm(bignum256modm r) { + bignum256modm t; + bignum256modm_element_t b = 0, pb, mask; + + /* t = r - m */ + pb = 0; + pb += modm_m[0]; b = lt_modm(r[0], pb); t[0] = (r[0] - pb + (b << 30)); pb = b; + pb += modm_m[1]; b = lt_modm(r[1], pb); t[1] = (r[1] - pb + (b << 30)); pb = b; + pb += modm_m[2]; b = lt_modm(r[2], pb); t[2] = (r[2] - pb + (b << 30)); pb = b; + pb += modm_m[3]; b = lt_modm(r[3], pb); t[3] = (r[3] - pb + (b << 30)); pb = b; + pb += modm_m[4]; b = lt_modm(r[4], pb); t[4] = (r[4] - pb + (b << 30)); pb = b; + pb += modm_m[5]; b = lt_modm(r[5], pb); t[5] = (r[5] - pb + (b << 30)); pb = b; + pb += modm_m[6]; b = lt_modm(r[6], pb); t[6] = (r[6] - pb + (b << 30)); pb = b; + pb += modm_m[7]; b = lt_modm(r[7], pb); t[7] = (r[7] - pb + (b << 30)); pb = b; + pb += modm_m[8]; b = lt_modm(r[8], pb); t[8] = (r[8] - pb + (b << 16)); + + /* keep r if r was smaller than m */ + mask = b - 1; + r[0] ^= mask & (r[0] ^ t[0]); + r[1] ^= mask & (r[1] ^ t[1]); + r[2] ^= mask & (r[2] ^ t[2]); + r[3] ^= mask & (r[3] ^ t[3]); + r[4] ^= mask & (r[4] ^ t[4]); + r[5] ^= mask & (r[5] ^ t[5]); + r[6] ^= mask & (r[6] ^ t[6]); + r[7] ^= mask & (r[7] ^ t[7]); + r[8] ^= mask & (r[8] ^ t[8]); +} + +/* Barrett reduction, see HAC, Alg. 14.42 */ +void +barrett_reduce256_modm(bignum256modm r, const bignum256modm q1, const bignum256modm r1) { + bignum256modm q3, r2; + word64 c; + bignum256modm_element_t f, b, pb; + + /* q1 = x >> 248 = 264 bits = 9 30 bit elements + q2 = mu * q1 + q3 = (q2 / 256(32+1)) = q2 / (2^8)^(32+1) = q2 >> 264 + */ + c = mul32x32_64(modm_mu[0], q1[7]) + mul32x32_64(modm_mu[1], q1[6]) + mul32x32_64(modm_mu[2], q1[5]) + mul32x32_64(modm_mu[3], q1[4]) + mul32x32_64(modm_mu[4], q1[3]) + mul32x32_64(modm_mu[5], q1[2]) + mul32x32_64(modm_mu[6], q1[1]) + mul32x32_64(modm_mu[7], q1[0]); + c >>= 30; + c += mul32x32_64(modm_mu[0], q1[8]) + mul32x32_64(modm_mu[1], q1[7]) + mul32x32_64(modm_mu[2], q1[6]) + mul32x32_64(modm_mu[3], q1[5]) + mul32x32_64(modm_mu[4], q1[4]) + mul32x32_64(modm_mu[5], q1[3]) + mul32x32_64(modm_mu[6], q1[2]) + mul32x32_64(modm_mu[7], q1[1]) + mul32x32_64(modm_mu[8], q1[0]); + f = (bignum256modm_element_t)c; q3[0] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[1], q1[8]) + mul32x32_64(modm_mu[2], q1[7]) + mul32x32_64(modm_mu[3], q1[6]) + mul32x32_64(modm_mu[4], q1[5]) + mul32x32_64(modm_mu[5], q1[4]) + mul32x32_64(modm_mu[6], q1[3]) + mul32x32_64(modm_mu[7], q1[2]) + mul32x32_64(modm_mu[8], q1[1]); + f = (bignum256modm_element_t)c; q3[0] |= (f << 6) & 0x3fffffff; q3[1] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[2], q1[8]) + mul32x32_64(modm_mu[3], q1[7]) + mul32x32_64(modm_mu[4], q1[6]) + mul32x32_64(modm_mu[5], q1[5]) + mul32x32_64(modm_mu[6], q1[4]) + mul32x32_64(modm_mu[7], q1[3]) + mul32x32_64(modm_mu[8], q1[2]); + f = (bignum256modm_element_t)c; q3[1] |= (f << 6) & 0x3fffffff; q3[2] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[3], q1[8]) + mul32x32_64(modm_mu[4], q1[7]) + mul32x32_64(modm_mu[5], q1[6]) + mul32x32_64(modm_mu[6], q1[5]) + mul32x32_64(modm_mu[7], q1[4]) + mul32x32_64(modm_mu[8], q1[3]); + f = (bignum256modm_element_t)c; q3[2] |= (f << 6) & 0x3fffffff; q3[3] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[4], q1[8]) + mul32x32_64(modm_mu[5], q1[7]) + mul32x32_64(modm_mu[6], q1[6]) + mul32x32_64(modm_mu[7], q1[5]) + mul32x32_64(modm_mu[8], q1[4]); + f = (bignum256modm_element_t)c; q3[3] |= (f << 6) & 0x3fffffff; q3[4] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[5], q1[8]) + mul32x32_64(modm_mu[6], q1[7]) + mul32x32_64(modm_mu[7], q1[6]) + mul32x32_64(modm_mu[8], q1[5]); + f = (bignum256modm_element_t)c; q3[4] |= (f << 6) & 0x3fffffff; q3[5] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[6], q1[8]) + mul32x32_64(modm_mu[7], q1[7]) + mul32x32_64(modm_mu[8], q1[6]); + f = (bignum256modm_element_t)c; q3[5] |= (f << 6) & 0x3fffffff; q3[6] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[7], q1[8]) + mul32x32_64(modm_mu[8], q1[7]); + f = (bignum256modm_element_t)c; q3[6] |= (f << 6) & 0x3fffffff; q3[7] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[8], q1[8]); + f = (bignum256modm_element_t)c; q3[7] |= (f << 6) & 0x3fffffff; q3[8] = (bignum256modm_element_t)(c >> 24); + + /* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1) + r2 = (q3 * m) mod (256^(32+1)) = (q3 * m) & ((1 << 264) - 1) + */ + c = mul32x32_64(modm_m[0], q3[0]); + r2[0] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[1]) + mul32x32_64(modm_m[1], q3[0]); + r2[1] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[2]) + mul32x32_64(modm_m[1], q3[1]) + mul32x32_64(modm_m[2], q3[0]); + r2[2] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[3]) + mul32x32_64(modm_m[1], q3[2]) + mul32x32_64(modm_m[2], q3[1]) + mul32x32_64(modm_m[3], q3[0]); + r2[3] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[4]) + mul32x32_64(modm_m[1], q3[3]) + mul32x32_64(modm_m[2], q3[2]) + mul32x32_64(modm_m[3], q3[1]) + mul32x32_64(modm_m[4], q3[0]); + r2[4] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[5]) + mul32x32_64(modm_m[1], q3[4]) + mul32x32_64(modm_m[2], q3[3]) + mul32x32_64(modm_m[3], q3[2]) + mul32x32_64(modm_m[4], q3[1]) + mul32x32_64(modm_m[5], q3[0]); + r2[5] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[6]) + mul32x32_64(modm_m[1], q3[5]) + mul32x32_64(modm_m[2], q3[4]) + mul32x32_64(modm_m[3], q3[3]) + mul32x32_64(modm_m[4], q3[2]) + mul32x32_64(modm_m[5], q3[1]) + mul32x32_64(modm_m[6], q3[0]); + r2[6] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[7]) + mul32x32_64(modm_m[1], q3[6]) + mul32x32_64(modm_m[2], q3[5]) + mul32x32_64(modm_m[3], q3[4]) + mul32x32_64(modm_m[4], q3[3]) + mul32x32_64(modm_m[5], q3[2]) + mul32x32_64(modm_m[6], q3[1]) + mul32x32_64(modm_m[7], q3[0]); + r2[7] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[8]) + mul32x32_64(modm_m[1], q3[7]) + mul32x32_64(modm_m[2], q3[6]) + mul32x32_64(modm_m[3], q3[5]) + mul32x32_64(modm_m[4], q3[4]) + mul32x32_64(modm_m[5], q3[3]) + mul32x32_64(modm_m[6], q3[2]) + mul32x32_64(modm_m[7], q3[1]) + mul32x32_64(modm_m[8], q3[0]); + r2[8] = (bignum256modm_element_t)(c & 0xffffff); + + /* r = r1 - r2 + if (r < 0) r += (1 << 264) */ + pb = 0; + pb += r2[0]; b = lt_modm(r1[0], pb); r[0] = (r1[0] - pb + (b << 30)); pb = b; + pb += r2[1]; b = lt_modm(r1[1], pb); r[1] = (r1[1] - pb + (b << 30)); pb = b; + pb += r2[2]; b = lt_modm(r1[2], pb); r[2] = (r1[2] - pb + (b << 30)); pb = b; + pb += r2[3]; b = lt_modm(r1[3], pb); r[3] = (r1[3] - pb + (b << 30)); pb = b; + pb += r2[4]; b = lt_modm(r1[4], pb); r[4] = (r1[4] - pb + (b << 30)); pb = b; + pb += r2[5]; b = lt_modm(r1[5], pb); r[5] = (r1[5] - pb + (b << 30)); pb = b; + pb += r2[6]; b = lt_modm(r1[6], pb); r[6] = (r1[6] - pb + (b << 30)); pb = b; + pb += r2[7]; b = lt_modm(r1[7], pb); r[7] = (r1[7] - pb + (b << 30)); pb = b; + pb += r2[8]; b = lt_modm(r1[8], pb); r[8] = (r1[8] - pb + (b << 24)); + + reduce256_modm(r); + reduce256_modm(r); +} + +/* addition modulo m */ +void +add256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) { + bignum256modm_element_t c; + + c = x[0] + y[0]; r[0] = c & 0x3fffffff; c >>= 30; + c += x[1] + y[1]; r[1] = c & 0x3fffffff; c >>= 30; + c += x[2] + y[2]; r[2] = c & 0x3fffffff; c >>= 30; + c += x[3] + y[3]; r[3] = c & 0x3fffffff; c >>= 30; + c += x[4] + y[4]; r[4] = c & 0x3fffffff; c >>= 30; + c += x[5] + y[5]; r[5] = c & 0x3fffffff; c >>= 30; + c += x[6] + y[6]; r[6] = c & 0x3fffffff; c >>= 30; + c += x[7] + y[7]; r[7] = c & 0x3fffffff; c >>= 30; + c += x[8] + y[8]; r[8] = c; + + reduce256_modm(r); +} + +/* multiplication modulo m */ +void +mul256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) { + bignum256modm r1, q1; + word64 c; + bignum256modm_element_t f; + + c = mul32x32_64(x[0], y[0]); + f = (bignum256modm_element_t)c; r1[0] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[1]) + mul32x32_64(x[1], y[0]); + f = (bignum256modm_element_t)c; r1[1] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[2]) + mul32x32_64(x[1], y[1]) + mul32x32_64(x[2], y[0]); + f = (bignum256modm_element_t)c; r1[2] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[3]) + mul32x32_64(x[1], y[2]) + mul32x32_64(x[2], y[1]) + mul32x32_64(x[3], y[0]); + f = (bignum256modm_element_t)c; r1[3] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[4]) + mul32x32_64(x[1], y[3]) + mul32x32_64(x[2], y[2]) + mul32x32_64(x[3], y[1]) + mul32x32_64(x[4], y[0]); + f = (bignum256modm_element_t)c; r1[4] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[5]) + mul32x32_64(x[1], y[4]) + mul32x32_64(x[2], y[3]) + mul32x32_64(x[3], y[2]) + mul32x32_64(x[4], y[1]) + mul32x32_64(x[5], y[0]); + f = (bignum256modm_element_t)c; r1[5] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[6]) + mul32x32_64(x[1], y[5]) + mul32x32_64(x[2], y[4]) + mul32x32_64(x[3], y[3]) + mul32x32_64(x[4], y[2]) + mul32x32_64(x[5], y[1]) + mul32x32_64(x[6], y[0]); + f = (bignum256modm_element_t)c; r1[6] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[7]) + mul32x32_64(x[1], y[6]) + mul32x32_64(x[2], y[5]) + mul32x32_64(x[3], y[4]) + mul32x32_64(x[4], y[3]) + mul32x32_64(x[5], y[2]) + mul32x32_64(x[6], y[1]) + mul32x32_64(x[7], y[0]); + f = (bignum256modm_element_t)c; r1[7] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[8]) + mul32x32_64(x[1], y[7]) + mul32x32_64(x[2], y[6]) + mul32x32_64(x[3], y[5]) + mul32x32_64(x[4], y[4]) + mul32x32_64(x[5], y[3]) + mul32x32_64(x[6], y[2]) + mul32x32_64(x[7], y[1]) + mul32x32_64(x[8], y[0]); + f = (bignum256modm_element_t)c; r1[8] = (f & 0x00ffffff); q1[0] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[1], y[8]) + mul32x32_64(x[2], y[7]) + mul32x32_64(x[3], y[6]) + mul32x32_64(x[4], y[5]) + mul32x32_64(x[5], y[4]) + mul32x32_64(x[6], y[3]) + mul32x32_64(x[7], y[2]) + mul32x32_64(x[8], y[1]); + f = (bignum256modm_element_t)c; q1[0] = (q1[0] | (f << 22)) & 0x3fffffff; q1[1] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[2], y[8]) + mul32x32_64(x[3], y[7]) + mul32x32_64(x[4], y[6]) + mul32x32_64(x[5], y[5]) + mul32x32_64(x[6], y[4]) + mul32x32_64(x[7], y[3]) + mul32x32_64(x[8], y[2]); + f = (bignum256modm_element_t)c; q1[1] = (q1[1] | (f << 22)) & 0x3fffffff; q1[2] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[3], y[8]) + mul32x32_64(x[4], y[7]) + mul32x32_64(x[5], y[6]) + mul32x32_64(x[6], y[5]) + mul32x32_64(x[7], y[4]) + mul32x32_64(x[8], y[3]); + f = (bignum256modm_element_t)c; q1[2] = (q1[2] | (f << 22)) & 0x3fffffff; q1[3] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[4], y[8]) + mul32x32_64(x[5], y[7]) + mul32x32_64(x[6], y[6]) + mul32x32_64(x[7], y[5]) + mul32x32_64(x[8], y[4]); + f = (bignum256modm_element_t)c; q1[3] = (q1[3] | (f << 22)) & 0x3fffffff; q1[4] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[5], y[8]) + mul32x32_64(x[6], y[7]) + mul32x32_64(x[7], y[6]) + mul32x32_64(x[8], y[5]); + f = (bignum256modm_element_t)c; q1[4] = (q1[4] | (f << 22)) & 0x3fffffff; q1[5] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[6], y[8]) + mul32x32_64(x[7], y[7]) + mul32x32_64(x[8], y[6]); + f = (bignum256modm_element_t)c; q1[5] = (q1[5] | (f << 22)) & 0x3fffffff; q1[6] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[7], y[8]) + mul32x32_64(x[8], y[7]); + f = (bignum256modm_element_t)c; q1[6] = (q1[6] | (f << 22)) & 0x3fffffff; q1[7] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[8], y[8]); + f = (bignum256modm_element_t)c; q1[7] = (q1[7] | (f << 22)) & 0x3fffffff; q1[8] = (f >> 8) & 0x3fffff; + + barrett_reduce256_modm(r, q1, r1); +} + +void +expand256_modm(bignum256modm out, const byte *in, size_t len) { + byte work[64] = {0}; + bignum256modm_element_t x[16]; + bignum256modm q1; + + memcpy(work, in, len); + x[0] = U8TO32_LE(work + 0); + x[1] = U8TO32_LE(work + 4); + x[2] = U8TO32_LE(work + 8); + x[3] = U8TO32_LE(work + 12); + x[4] = U8TO32_LE(work + 16); + x[5] = U8TO32_LE(work + 20); + x[6] = U8TO32_LE(work + 24); + x[7] = U8TO32_LE(work + 28); + x[8] = U8TO32_LE(work + 32); + x[9] = U8TO32_LE(work + 36); + x[10] = U8TO32_LE(work + 40); + x[11] = U8TO32_LE(work + 44); + x[12] = U8TO32_LE(work + 48); + x[13] = U8TO32_LE(work + 52); + x[14] = U8TO32_LE(work + 56); + x[15] = U8TO32_LE(work + 60); + + /* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1) */ + out[0] = ( x[0]) & 0x3fffffff; + out[1] = ((x[ 0] >> 30) | (x[ 1] << 2)) & 0x3fffffff; + out[2] = ((x[ 1] >> 28) | (x[ 2] << 4)) & 0x3fffffff; + out[3] = ((x[ 2] >> 26) | (x[ 3] << 6)) & 0x3fffffff; + out[4] = ((x[ 3] >> 24) | (x[ 4] << 8)) & 0x3fffffff; + out[5] = ((x[ 4] >> 22) | (x[ 5] << 10)) & 0x3fffffff; + out[6] = ((x[ 5] >> 20) | (x[ 6] << 12)) & 0x3fffffff; + out[7] = ((x[ 6] >> 18) | (x[ 7] << 14)) & 0x3fffffff; + out[8] = ((x[ 7] >> 16) | (x[ 8] << 16)) & 0x00ffffff; + + /* 8*31 = 248 bits, no need to reduce */ + if (len < 32) + return; + + /* q1 = x >> 248 = 264 bits = 9 30 bit elements */ + q1[0] = ((x[ 7] >> 24) | (x[ 8] << 8)) & 0x3fffffff; + q1[1] = ((x[ 8] >> 22) | (x[ 9] << 10)) & 0x3fffffff; + q1[2] = ((x[ 9] >> 20) | (x[10] << 12)) & 0x3fffffff; + q1[3] = ((x[10] >> 18) | (x[11] << 14)) & 0x3fffffff; + q1[4] = ((x[11] >> 16) | (x[12] << 16)) & 0x3fffffff; + q1[5] = ((x[12] >> 14) | (x[13] << 18)) & 0x3fffffff; + q1[6] = ((x[13] >> 12) | (x[14] << 20)) & 0x3fffffff; + q1[7] = ((x[14] >> 10) | (x[15] << 22)) & 0x3fffffff; + q1[8] = ((x[15] >> 8) ); + + barrett_reduce256_modm(out, q1, out); +} + +void +expand_raw256_modm(bignum256modm out, const byte in[32]) { + bignum256modm_element_t x[8]; + + x[0] = U8TO32_LE(in + 0); + x[1] = U8TO32_LE(in + 4); + x[2] = U8TO32_LE(in + 8); + x[3] = U8TO32_LE(in + 12); + x[4] = U8TO32_LE(in + 16); + x[5] = U8TO32_LE(in + 20); + x[6] = U8TO32_LE(in + 24); + x[7] = U8TO32_LE(in + 28); + + out[0] = ( x[0]) & 0x3fffffff; + out[1] = ((x[ 0] >> 30) | (x[ 1] << 2)) & 0x3fffffff; + out[2] = ((x[ 1] >> 28) | (x[ 2] << 4)) & 0x3fffffff; + out[3] = ((x[ 2] >> 26) | (x[ 3] << 6)) & 0x3fffffff; + out[4] = ((x[ 3] >> 24) | (x[ 4] << 8)) & 0x3fffffff; + out[5] = ((x[ 4] >> 22) | (x[ 5] << 10)) & 0x3fffffff; + out[6] = ((x[ 5] >> 20) | (x[ 6] << 12)) & 0x3fffffff; + out[7] = ((x[ 6] >> 18) | (x[ 7] << 14)) & 0x3fffffff; + out[8] = ((x[ 7] >> 16) ) & 0x0000ffff; +} + +void +contract256_modm(byte out[32], const bignum256modm in) { + U32TO8_LE(out + 0, (in[0] ) | (in[1] << 30)); + U32TO8_LE(out + 4, (in[1] >> 2) | (in[2] << 28)); + U32TO8_LE(out + 8, (in[2] >> 4) | (in[3] << 26)); + U32TO8_LE(out + 12, (in[3] >> 6) | (in[4] << 24)); + U32TO8_LE(out + 16, (in[4] >> 8) | (in[5] << 22)); + U32TO8_LE(out + 20, (in[5] >> 10) | (in[6] << 20)); + U32TO8_LE(out + 24, (in[6] >> 12) | (in[7] << 18)); + U32TO8_LE(out + 28, (in[7] >> 14) | (in[8] << 16)); +} + +void +contract256_window4_modm(signed char r[64], const bignum256modm in) { + char carry; + signed char *quads = r; + bignum256modm_element_t i, j, v; + + for (i = 0; i < 8; i += 2) { + v = in[i]; + for (j = 0; j < 7; j++) { + *quads++ = (v & 15); + v >>= 4; + } + v |= (in[i+1] << 2); + for (j = 0; j < 8; j++) { + *quads++ = (v & 15); + v >>= 4; + } + } + + v = in[8]; + *quads++ = (v & 15); v >>= 4; + *quads++ = (v & 15); v >>= 4; + *quads++ = (v & 15); v >>= 4; + *quads++ = (v & 15); v >>= 4; + + /* making it signed */ + carry = 0; + for(i = 0; i < 63; i++) { + r[i] += carry; + r[i+1] += (r[i] >> 4); + r[i] &= 15; + carry = (r[i] >> 3); + r[i] -= (carry << 4); + } + r[63] += carry; +} + +void +contract256_slidingwindow_modm(signed char r[256], const bignum256modm s, int windowsize) { + int i,j,k,b; + int m = (1 << (windowsize - 1)) - 1, soplen = 256; + signed char *bits = r; + bignum256modm_element_t v; + + /* first put the binary expansion into r */ + for (i = 0; i < 8; i++) { + v = s[i]; + for (j = 0; j < 30; j++, v >>= 1) + *bits++ = (v & 1); + } + v = s[8]; + for (j = 0; j < 16; j++, v >>= 1) + *bits++ = (v & 1); + + /* Making it sliding window */ + for (j = 0; j < soplen; j++) { + if (!r[j]) + continue; + + for (b = 1; (b < (soplen - j)) && (b <= 6); b++) { + if ((r[j] + (r[j + b] << b)) <= m) { + r[j] += r[j + b] << b; + r[j + b] = 0; + } else if ((r[j] - (r[j + b] << b)) >= -m) { + r[j] -= r[j + b] << b; + for (k = j + b; k < soplen; k++) { + if (!r[k]) { + r[k] = 1; + break; + } + r[k] = 0; + } + } else if (r[j + b]) { + break; + } + } + } +} + +inline void +ge25519_p1p1_to_partial(ge25519 *r, const ge25519_p1p1 *p) { + curve25519_mul(r->x, p->x, p->t); + curve25519_mul(r->y, p->y, p->z); + curve25519_mul(r->z, p->z, p->t); +} + +inline void +ge25519_p1p1_to_full(ge25519 *r, const ge25519_p1p1 *p) { + curve25519_mul(r->x, p->x, p->t); + curve25519_mul(r->y, p->y, p->z); + curve25519_mul(r->z, p->z, p->t); + curve25519_mul(r->t, p->x, p->y); +} + +void +ge25519_full_to_pniels(ge25519_pniels *p, const ge25519 *r) { + curve25519_sub(p->ysubx, r->y, r->x); + curve25519_add(p->xaddy, r->y, r->x); + curve25519_copy(p->z, r->z); + curve25519_mul(p->t2d, r->t, ge25519_ec2d); +} + +void +ge25519_add_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519 *q) { + bignum25519 a,b,c,d,t,u; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_sub(t, q->y, q->x); + curve25519_add(u, q->y, q->x); + curve25519_mul(a, a, t); + curve25519_mul(b, b, u); + curve25519_mul(c, p->t, q->t); + curve25519_mul(c, c, ge25519_ec2d); + curve25519_mul(d, p->z, q->z); + curve25519_add(d, d, d); + curve25519_sub(r->x, b, a); + curve25519_add(r->y, b, a); + curve25519_add_after_basic(r->z, d, c); + curve25519_sub_after_basic(r->t, d, c); +} + +void +ge25519_double_p1p1(ge25519_p1p1 *r, const ge25519 *p) { + bignum25519 a,b,c; + + curve25519_square(a, p->x); + curve25519_square(b, p->y); + curve25519_square(c, p->z); + curve25519_add_reduce(c, c, c); + curve25519_add(r->x, p->x, p->y); + curve25519_square(r->x, r->x); + curve25519_add(r->y, b, a); + curve25519_sub(r->z, b, a); + curve25519_sub_after_basic(r->x, r->x, r->y); + curve25519_sub_after_basic(r->t, c, r->z); +} + +void +ge25519_nielsadd2_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_niels *q, byte signbit) { + const bignum25519 *qb = (const bignum25519 *)q; + bignum25519 *rb = (bignum25519 *)r; + bignum25519 a,b,c; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_mul(a, a, qb[signbit]); /* x for +, y for - */ + curve25519_mul(r->x, b, qb[signbit^1]); /* y for +, x for - */ + curve25519_add(r->y, r->x, a); + curve25519_sub(r->x, r->x, a); + curve25519_mul(c, p->t, q->t2d); + curve25519_add_reduce(r->t, p->z, p->z); + curve25519_copy(r->z, r->t); + curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */ + curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */ +} + +void +ge25519_pnielsadd_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_pniels *q, byte signbit) { + const bignum25519 *qb = (const bignum25519 *)q; + bignum25519 *rb = (bignum25519 *)r; + bignum25519 a,b,c; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_mul(a, a, qb[signbit]); /* ysubx for +, xaddy for - */ + curve25519_mul(r->x, b, qb[signbit^1]); /* xaddy for +, ysubx for - */ + curve25519_add(r->y, r->x, a); + curve25519_sub(r->x, r->x, a); + curve25519_mul(c, p->t, q->t2d); + curve25519_mul(r->t, p->z, q->z); + curve25519_add_reduce(r->t, r->t, r->t); + curve25519_copy(r->z, r->t); + curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */ + curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */ +} + +void +ge25519_double_partial(ge25519 *r, const ge25519 *p) { + ge25519_p1p1 t; + ge25519_double_p1p1(&t, p); + ge25519_p1p1_to_partial(r, &t); +} + +void +ge25519_double(ge25519 *r, const ge25519 *p) { + ge25519_p1p1 t; + ge25519_double_p1p1(&t, p); + ge25519_p1p1_to_full(r, &t); +} + +void +ge25519_add(ge25519 *r, const ge25519 *p, const ge25519 *q) { + ge25519_p1p1 t; + ge25519_add_p1p1(&t, p, q); + ge25519_p1p1_to_full(r, &t); +} + +void +ge25519_nielsadd2(ge25519 *r, const ge25519_niels *q) { + bignum25519 a,b,c,e,f,g,h; + + curve25519_sub(a, r->y, r->x); + curve25519_add(b, r->y, r->x); + curve25519_mul(a, a, q->ysubx); + curve25519_mul(e, b, q->xaddy); + curve25519_add(h, e, a); + curve25519_sub(e, e, a); + curve25519_mul(c, r->t, q->t2d); + curve25519_add(f, r->z, r->z); + curve25519_add_after_basic(g, f, c); + curve25519_sub_after_basic(f, f, c); + curve25519_mul(r->x, e, f); + curve25519_mul(r->y, h, g); + curve25519_mul(r->z, g, f); + curve25519_mul(r->t, e, h); +} + +void +ge25519_pnielsadd(ge25519_pniels *r, const ge25519 *p, const ge25519_pniels *q) { + bignum25519 a,b,c,x,y,z,t; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_mul(a, a, q->ysubx); + curve25519_mul(x, b, q->xaddy); + curve25519_add(y, x, a); + curve25519_sub(x, x, a); + curve25519_mul(c, p->t, q->t2d); + curve25519_mul(t, p->z, q->z); + curve25519_add(t, t, t); + curve25519_add_after_basic(z, t, c); + curve25519_sub_after_basic(t, t, c); + curve25519_mul(r->xaddy, x, t); + curve25519_mul(r->ysubx, y, z); + curve25519_mul(r->z, z, t); + curve25519_mul(r->t2d, x, y); + curve25519_copy(y, r->ysubx); + curve25519_sub(r->ysubx, r->ysubx, r->xaddy); + curve25519_add(r->xaddy, r->xaddy, y); + curve25519_mul(r->t2d, r->t2d, ge25519_ec2d); +} + +void +ge25519_pack(byte r[32], const ge25519 *p) { + bignum25519 tx, ty, zi; + byte parity[32]; + curve25519_recip(zi, p->z); + curve25519_mul(tx, p->x, zi); + curve25519_mul(ty, p->y, zi); + curve25519_contract(r, ty); + curve25519_contract(parity, tx); + r[31] ^= ((parity[0] & 1) << 7); +} + +int +ed25519_verify(const unsigned char *x, const unsigned char *y, size_t len) { + size_t differentbits = 0; + while (len--) + differentbits |= (*x++ ^ *y++); + return (int) (1 & ((differentbits - 1) >> 8)); +} + +int +ge25519_unpack_negative_vartime(ge25519 *r, const byte p[32]) { + const byte zero[32] = {0}; + const bignum25519 one = {1}; + byte parity = p[31] >> 7; + byte check[32]; + bignum25519 t, root, num, den, d3; + + curve25519_expand(r->y, p); + curve25519_copy(r->z, one); + curve25519_square(num, r->y); /* x = y^2 */ + curve25519_mul(den, num, ge25519_ecd); /* den = dy^2 */ + curve25519_sub_reduce(num, num, r->z); /* x = y^1 - 1 */ + curve25519_add(den, den, r->z); /* den = dy^2 + 1 */ + + /* Computation of sqrt(num/den) */ + /* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */ + curve25519_square(t, den); + curve25519_mul(d3, t, den); + curve25519_square(r->x, d3); + curve25519_mul(r->x, r->x, den); + curve25519_mul(r->x, r->x, num); + curve25519_pow_two252m3(r->x, r->x); + + /* 2. computation of r->x = num * den^3 * (num*den^7)^((p-5)/8) */ + curve25519_mul(r->x, r->x, d3); + curve25519_mul(r->x, r->x, num); + + /* 3. Check if either of the roots works: */ + curve25519_square(t, r->x); + curve25519_mul(t, t, den); + curve25519_sub_reduce(root, t, num); + curve25519_contract(check, root); + if (!ed25519_verify(check, zero, 32)) { + curve25519_add_reduce(t, t, num); + curve25519_contract(check, t); + if (!ed25519_verify(check, zero, 32)) + return 0; + curve25519_mul(r->x, r->x, ge25519_sqrtneg1); + } + + curve25519_contract(check, r->x); + if ((check[0] & 1) == parity) { + curve25519_copy(t, r->x); + curve25519_neg(r->x, t); + } + curve25519_mul(r->t, r->x, r->y); + return 1; +} + +/* computes [s1]p1 + [s2]basepoint */ +void +ge25519_double_scalarmult_vartime(ge25519 *r, const ge25519 *p1, const bignum256modm s1, const bignum256modm s2) { + signed char slide1[256], slide2[256]; + ge25519_pniels pre1[S1_TABLE_SIZE]; + ge25519 d1; + ge25519_p1p1 t; + sword32 i; + + contract256_slidingwindow_modm(slide1, s1, S1_SWINDOWSIZE); + contract256_slidingwindow_modm(slide2, s2, S2_SWINDOWSIZE); + + ge25519_double(&d1, p1); + ge25519_full_to_pniels(pre1, p1); + for (i = 0; i < S1_TABLE_SIZE - 1; i++) + ge25519_pnielsadd(&pre1[i+1], &d1, &pre1[i]); + + /* set neutral */ + memset(r, 0, sizeof(ge25519)); + r->y[0] = 1; + r->z[0] = 1; + + i = 255; + while ((i >= 0) && !(slide1[i] | slide2[i])) + i--; + + for (; i >= 0; i--) { + ge25519_double_p1p1(&t, r); + + if (slide1[i]) { + ge25519_p1p1_to_full(r, &t); + ge25519_pnielsadd_p1p1(&t, r, &pre1[abs(slide1[i]) / 2], (byte)slide1[i] >> 7); + } + + if (slide2[i]) { + ge25519_p1p1_to_full(r, &t); + ge25519_nielsadd2_p1p1(&t, r, &ge25519_niels_sliding_multiples[abs(slide2[i]) / 2], (byte)slide2[i] >> 7); + } + + ge25519_p1p1_to_partial(r, &t); + } +} + +#if !defined(HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS) + +word32 +ge25519_windowb_equal(word32 b, word32 c) { + return ((b ^ c) - 1) >> 31; +} + +void +ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const byte table[256][96], word32 pos, signed char b) { + bignum25519 neg; + word32 sign = (word32)((byte)b >> 7); + word32 mask = ~(sign - 1); + word32 u = (b + mask) ^ mask; + word32 i; + + /* ysubx, xaddy, t2d in packed form. initialize to ysubx = 1, xaddy = 1, t2d = 0 */ + byte packed[96] = {0}; + packed[0] = 1; + packed[32] = 1; + + for (i = 0; i < 8; i++) + curve25519_move_conditional_bytes(packed, table[(pos * 8) + i], ge25519_windowb_equal(u, i + 1)); + + /* expand in to t */ + curve25519_expand(t->ysubx, packed + 0); + curve25519_expand(t->xaddy, packed + 32); + curve25519_expand(t->t2d , packed + 64); + + /* adjust for sign */ + curve25519_swap_conditional(t->ysubx, t->xaddy, sign); + curve25519_neg(neg, t->t2d); + curve25519_swap_conditional(t->t2d, neg, sign); +} + +#endif /* HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS */ + +/* computes [s]basepoint */ +void +ge25519_scalarmult_base_niels(ge25519 *r, const byte basepoint_table[256][96], const bignum256modm s) { + signed char b[64]; + word32 i; + ge25519_niels t; + + contract256_window4_modm(b, s); + + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[1]); + curve25519_sub_reduce(r->x, t.xaddy, t.ysubx); + curve25519_add_reduce(r->y, t.xaddy, t.ysubx); + memset(r->z, 0, sizeof(bignum25519)); + curve25519_copy(r->t, t.t2d); + r->z[0] = 2; + for (i = 3; i < 64; i += 2) { + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]); + ge25519_nielsadd2(r, &t); + } + ge25519_double_partial(r, r); + ge25519_double_partial(r, r); + ge25519_double_partial(r, r); + ge25519_double(r, r); + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[0]); + curve25519_mul(t.t2d, t.t2d, ge25519_ecd); + ge25519_nielsadd2(r, &t); + for(i = 2; i < 64; i += 2) { + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]); + ge25519_nielsadd2(r, &t); + } +} + +ANONYMOUS_NAMESPACE_END +NAMESPACE_END // Ed25519 +NAMESPACE_END // Donna +NAMESPACE_END // CryptoPP + +//***************************** curve25519 *****************************// NAMESPACE_BEGIN(CryptoPP) NAMESPACE_BEGIN(Donna) -int curve25519_CXX(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]) +int curve25519_mult_CXX(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]) { + using namespace CryptoPP::Donna::X25519; + FixedSizeSecBlock e; for (size_t i = 0;i < 32;++i) e[i] = secretKey[i]; @@ -508,26 +1797,140 @@ int curve25519_CXX(byte sharedKey[32], const byte secretKey[32], const byte othe return 0; } -int curve25519(byte publicKey[32], const byte secretKey[32]) +int curve25519_mult(byte publicKey[32], const byte secretKey[32]) { + using namespace CryptoPP::Donna::X25519; + #if (CRYPTOPP_CURVE25519_SSE2) if (HasSSE2()) - return curve25519_SSE2(publicKey, secretKey, basePoint); + return curve25519_mult_SSE2(publicKey, secretKey, basePoint); else #endif - return curve25519_CXX(publicKey, secretKey, basePoint); + return curve25519_mult_CXX(publicKey, secretKey, basePoint); } -int curve25519(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]) +int curve25519_mult(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]) { #if (CRYPTOPP_CURVE25519_SSE2) if (HasSSE2()) - return curve25519_SSE2(sharedKey, secretKey, othersKey); + return curve25519_mult_SSE2(sharedKey, secretKey, othersKey); else #endif - return curve25519_CXX(sharedKey, secretKey, othersKey); + return curve25519_mult_CXX(sharedKey, secretKey, othersKey); +} + +NAMESPACE_END // Donna +NAMESPACE_END // CryptoPP + +//******************************* ed25519 *******************************// + +NAMESPACE_BEGIN(CryptoPP) +NAMESPACE_BEGIN(Donna) + +int +ed25519_publickey_CXX(byte publicKey[32], const byte secretKey[32]) +{ + using namespace CryptoPP::Donna::Ed25519; + + bignum256modm a; + ALIGN(16) ge25519 A; + hash_512bits extsk; + + /* A = aB */ + ed25519_extsk(extsk, secretKey); + expand256_modm(a, extsk, 32); + ge25519_scalarmult_base_niels(&A, ge25519_niels_base_multiples, a); + ge25519_pack(publicKey, &A); + + return 0; +} + +int +ed25519_publickey(byte publicKey[32], const byte secretKey[32]) +{ + return ed25519_publickey_CXX(publicKey, secretKey); +} + +int +ed25519_sign_CXX(const byte *m, size_t mlen, const byte sk[32], const byte pk[32], byte RS[64]) +{ + using namespace CryptoPP::Donna::Ed25519; + + bignum256modm r, S, a; + ALIGN(16) ge25519 R; + hash_512bits extsk, hashr, hram; + + ed25519_extsk(extsk, sk); + + /* r = H(aExt[32..64], m) */ + SHA512 hash; + hash.Update(extsk + 32, 32); + hash.Update(m, mlen); + hash.Final(hashr); + expand256_modm(r, hashr, 64); + + /* R = rB */ + ge25519_scalarmult_base_niels(&R, ge25519_niels_base_multiples, r); + ge25519_pack(RS, &R); + + /* S = H(R,A,m).. */ + ed25519_hram(hram, RS, pk, m, mlen); + expand256_modm(S, hram, 64); + + /* S = H(R,A,m)a */ + expand256_modm(a, extsk, 32); + mul256_modm(S, S, a); + + /* S = (r + H(R,A,m)a) */ + add256_modm(S, S, r); + + /* S = (r + H(R,A,m)a) mod L */ + contract256_modm(RS + 32, S); + + return 0; +} + +int +ed25519_sign(const byte* message, size_t messageLength, const byte secretKey[32], + const byte publicKey[32], byte signature[64]) +{ + return ed25519_sign_CXX(message, messageLength, secretKey, publicKey, signature); +} + +int +ed25519_sign_open_CXX(const byte *m, size_t mlen, const byte pk[32], const byte RS[64]) { + + using namespace CryptoPP::Donna::Ed25519; + + ALIGN(16) ge25519 R, A; + hash_512bits hash; + bignum256modm hram, S; + unsigned char checkR[32]; + + if ((RS[63] & 224) || !ge25519_unpack_negative_vartime(&A, pk)) + return -1; + + /* hram = H(R,A,m) */ + ed25519_hram(hash, RS, pk, m, mlen); + expand256_modm(hram, hash, 64); + + /* S */ + expand256_modm(S, RS + 32, 32); + + /* SB - H(R,A,m)A */ + ge25519_double_scalarmult_vartime(&R, &A, hram, S); + ge25519_pack(checkR, &R); + + /* check that R = SB - H(R,A,m)A */ + return ed25519_verify(RS, checkR, 32) ? 0 : -1; +} + +int +ed25519_sign_open(const byte *message, size_t messageLength, const byte publicKey[32], const byte signature[64]) +{ + return ed25519_sign_open_CXX(message, messageLength, publicKey, signature); } NAMESPACE_END // Donna diff --git a/donna_32.h b/donna_32.h new file mode 100644 index 00000000..19cd101c --- /dev/null +++ b/donna_32.h @@ -0,0 +1,409 @@ +// donna_32.h - written and placed in public domain by Jeffrey Walton +// Crypto++ specific implementation wrapped around Andrew +// Moon's public domain curve25519-donna and ed25519-donna, +// https://github.com/floodyberry/curve25519-donna and +// https://github.com/floodyberry/ed25519-donna. + +// This source file multiplexes two different repos using namespaces. This +// was a little easier from a project management standpoint. We only need +// two files per architecture at the expense of namespaces and bloat. + +#ifndef CRYPTOPP_DONNA_32_H +#define CRYPTOPP_DONNA_32_H + +#include "config.h" + +NAMESPACE_BEGIN(CryptoPP) +NAMESPACE_BEGIN(Donna) +NAMESPACE_BEGIN(Arch32) + +using CryptoPP::byte; +using CryptoPP::word32; +using CryptoPP::word64; + +// ******************** x25519 Agreement ************************* // + +#define ALIGN(n) CRYPTOPP_ALIGN_DATA(n) +#define mul32x32_64(a,b) (((word64)(a))*(b)) + +typedef word32 bignum25519[10]; + +const byte basePoint[32] = {9}; +const word32 reduce_mask_25 = (1 << 25) - 1; +const word32 reduce_mask_26 = (1 << 26) - 1; + +// ****************** ed25519 Signatures *********************** // + +typedef byte hash_512bits[64]; + +const int bignum256modm_bits_per_limb = 30; +const int bignum256modm_limb_size = 9; +typedef word32 bignum256modm_element_t; +typedef bignum256modm_element_t bignum256modm[9]; + +struct ge25519 { + bignum25519 x, y, z, t; +}; + +struct ge25519_p1p1 { + bignum25519 x, y, z, t; +}; + +struct ge25519_niels { + bignum25519 ysubx, xaddy, t2d; +}; + +struct ge25519_pniels { + bignum25519 ysubx, xaddy, z, t2d; +}; + +#define S1_SWINDOWSIZE 5 +#define S1_TABLE_SIZE (1<<(S1_SWINDOWSIZE-2)) +#define S2_SWINDOWSIZE 7 +#define S2_TABLE_SIZE (1<<(S2_SWINDOWSIZE-2)) + +// *************** ed25519-donna-32bit-tables.h *************** // + +ALIGN(16) const ge25519 ge25519_basepoint = { + {0x0325d51a,0x018b5823,0x00f6592a,0x0104a92d,0x01a4b31d,0x01d6dc5c,0x027118fe,0x007fd814,0x013cd6e5,0x0085a4db}, + {0x02666658,0x01999999,0x00cccccc,0x01333333,0x01999999,0x00666666,0x03333333,0x00cccccc,0x02666666,0x01999999}, + {0x00000001,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000}, + {0x01b7dda3,0x01a2ace9,0x025eadbb,0x0003ba8a,0x0083c27e,0x00abe37d,0x01274732,0x00ccacdd,0x00fd78b7,0x019e1d7c} +}; + +ALIGN(16) const bignum25519 ge25519_ecd = { + 0x035978a3,0x00d37284,0x03156ebd,0x006a0a0e,0x0001c029,0x0179e898,0x03a03cbb,0x01ce7198,0x02e2b6ff,0x01480db3 +}; + +ALIGN(16) const bignum25519 ge25519_ec2d = { + 0x02b2f159,0x01a6e509,0x022add7a,0x00d4141d,0x00038052,0x00f3d130,0x03407977,0x019ce331,0x01c56dff,0x00901b67 +}; + +ALIGN(16) const bignum25519 ge25519_sqrtneg1 = { + 0x020ea0b0,0x0186c9d2,0x008f189d,0x0035697f,0x00bd0c60,0x01fbd7a7,0x02804c9e,0x01e16569,0x0004fc1d,0x00ae0c92 +}; + +ALIGN(16) const ge25519_niels ge25519_niels_sliding_multiples[32] = { + {{0x0340913e,0x000e4175,0x03d673a2,0x002e8a05,0x03f4e67c,0x008f8a09,0x00c21a34,0x004cf4b8,0x01298f81,0x0113f4be},{0x018c3b85,0x0124f1bd,0x01c325f7,0x0037dc60,0x033e4cb7,0x003d42c2,0x01a44c32,0x014ca4e1,0x03a33d4b,0x001f3e74},{0x037aaa68,0x00448161,0x0093d579,0x011e6556,0x009b67a0,0x0143598c,0x01bee5ee,0x00b50b43,0x0289f0c6,0x01bc45ed}}, + {{0x00fcd265,0x0047fa29,0x034faacc,0x01ef2e0d,0x00ef4d4f,0x014bd6bd,0x00f98d10,0x014c5026,0x007555bd,0x00aae456},{0x00ee9730,0x016c2a13,0x017155e4,0x01874432,0x00096a10,0x01016732,0x01a8014f,0x011e9823,0x01b9a80f,0x01e85938},{0x01d0d889,0x01a4cfc3,0x034c4295,0x0110e1ae,0x0162508c,0x00f2db4c,0x0072a2c6,0x0098da2e,0x02f12b9b,0x0168a09a}}, + {{0x0047d6ba,0x0060b0e9,0x0136eff2,0x008a5939,0x03540053,0x0064a087,0x02788e5c,0x00be7c67,0x033eb1b5,0x005529f9},{0x00a5bb33,0x00af1102,0x01a05442,0x001e3af7,0x02354123,0x00bfec44,0x01f5862d,0x00dd7ba3,0x03146e20,0x00a51733},{0x012a8285,0x00f6fc60,0x023f9797,0x003e85ee,0x009c3820,0x01bda72d,0x01b3858d,0x00d35683,0x0296b3bb,0x010eaaf9}}, + {{0x023221b1,0x01cb26aa,0x0074f74d,0x0099ddd1,0x01b28085,0x00192c3a,0x013b27c9,0x00fc13bd,0x01d2e531,0x0075bb75},{0x004ea3bf,0x00973425,0x001a4d63,0x01d59cee,0x01d1c0d4,0x00542e49,0x01294114,0x004fce36,0x029283c9,0x01186fa9},{0x01b8b3a2,0x00db7200,0x00935e30,0x003829f5,0x02cc0d7d,0x0077adf3,0x0220dd2c,0x0014ea53,0x01c6a0f9,0x01ea7eec}}, + {{0x039d8064,0x01885f80,0x00337e6d,0x01b7a902,0x02628206,0x015eb044,0x01e30473,0x0191f2d9,0x011fadc9,0x01270169},{0x02a8632f,0x0199e2a9,0x00d8b365,0x017a8de2,0x02994279,0x0086f5b5,0x0119e4e3,0x01eb39d6,0x0338add7,0x00d2e7b4},{0x0045af1b,0x013a2fe4,0x0245e0d6,0x014538ce,0x038bfe0f,0x01d4cf16,0x037e14c9,0x0160d55e,0x0021b008,0x01cf05c8}}, + {{0x01864348,0x01d6c092,0x0070262b,0x014bb844,0x00fb5acd,0x008deb95,0x003aaab5,0x00eff474,0x00029d5c,0x0062ad66},{0x02802ade,0x01c02122,0x01c4e5f7,0x00781181,0x039767fb,0x01703406,0x0342388b,0x01f5e227,0x022546d8,0x0109d6ab},{0x016089e9,0x00cb317f,0x00949b05,0x01099417,0x000c7ad2,0x011a8622,0x0088ccda,0x01290886,0x022b53df,0x00f71954}}, + {{0x027fbf93,0x01c04ecc,0x01ed6a0d,0x004cdbbb,0x02bbf3af,0x00ad5968,0x01591955,0x0094f3a2,0x02d17602,0x00099e20},{0x02007f6d,0x003088a8,0x03db77ee,0x00d5ade6,0x02fe12ce,0x0107ba07,0x0107097d,0x00482a6f,0x02ec346f,0x008d3f5f},{0x032ea378,0x0028465c,0x028e2a6c,0x018efc6e,0x0090df9a,0x01a7e533,0x039bfc48,0x010c745d,0x03daa097,0x0125ee9b}}, + {{0x028ccf0b,0x00f36191,0x021ac081,0x012154c8,0x034e0a6e,0x01b25192,0x00180403,0x01d7eea1,0x00218d05,0x010ed735},{0x03cfeaa0,0x01b300c4,0x008da499,0x0068c4e1,0x0219230a,0x01f2d4d0,0x02defd60,0x00e565b7,0x017f12de,0x018788a4},{0x03d0b516,0x009d8be6,0x03ddcbb3,0x0071b9fe,0x03ace2bd,0x01d64270,0x032d3ec9,0x01084065,0x0210ae4d,0x01447584}}, + {{0x0020de87,0x00e19211,0x01b68102,0x00b5ac97,0x022873c0,0x01942d25,0x01271394,0x0102073f,0x02fe2482,0x01c69ff9},{0x010e9d81,0x019dbbe5,0x0089f258,0x006e06b8,0x02951883,0x018f1248,0x019b3237,0x00bc7553,0x024ddb85,0x01b4c964},{0x01c8c854,0x0060ae29,0x01406d8e,0x01cff2f9,0x00cff451,0x01778d0c,0x03ac8c41,0x01552e59,0x036559ee,0x011d1b12}}, + {{0x00741147,0x0151b219,0x01092690,0x00e877e6,0x01f4d6bb,0x0072a332,0x01cd3b03,0x00dadff2,0x0097db5e,0x0086598d},{0x01c69a2b,0x01decf1b,0x02c2fa6e,0x013b7c4f,0x037beac8,0x013a16b5,0x028e7bda,0x01f6e8ac,0x01e34fe9,0x01726947},{0x01f10e67,0x003c73de,0x022b7ea2,0x010f32c2,0x03ff776a,0x00142277,0x01d38b88,0x00776138,0x03c60822,0x01201140}}, + {{0x0236d175,0x0008748e,0x03c6476d,0x013f4cdc,0x02eed02a,0x00838a47,0x032e7210,0x018bcbb3,0x00858de4,0x01dc7826},{0x00a37fc7,0x0127b40b,0x01957884,0x011d30ad,0x02816683,0x016e0e23,0x00b76be4,0x012db115,0x02516506,0x0154ce62},{0x00451edf,0x00bd749e,0x03997342,0x01cc2c4c,0x00eb6975,0x01a59508,0x03a516cf,0x00c228ef,0x0168ff5a,0x01697b47}}, + {{0x00527359,0x01783156,0x03afd75c,0x00ce56dc,0x00e4b970,0x001cabe9,0x029e0f6d,0x0188850c,0x0135fefd,0x00066d80},{0x02150e83,0x01448abf,0x02bb0232,0x012bf259,0x033c8268,0x00711e20,0x03fc148f,0x005e0e70,0x017d8bf9,0x0112b2e2},{0x02134b83,0x001a0517,0x0182c3cc,0x00792182,0x0313d799,0x001a3ed7,0x0344547e,0x01f24a0d,0x03de6ad2,0x00543127}}, + {{0x00dca868,0x00618f27,0x015a1709,0x00ddc38a,0x0320fd13,0x0036168d,0x0371ab06,0x01783fc7,0x0391e05f,0x01e29b5d},{0x01471138,0x00fca542,0x00ca31cf,0x01ca7bad,0x0175bfbc,0x01a708ad,0x03bce212,0x01244215,0x0075bb99,0x01acad68},{0x03a0b976,0x01dc12d1,0x011aab17,0x00aba0ba,0x029806cd,0x0142f590,0x018fd8ea,0x01a01545,0x03c4ad55,0x01c971ff}}, + {{0x00d098c0,0x000afdc7,0x006cd230,0x01276af3,0x03f905b2,0x0102994c,0x002eb8a4,0x015cfbeb,0x025f855f,0x01335518},{0x01cf99b2,0x0099c574,0x01a69c88,0x00881510,0x01cd4b54,0x0112109f,0x008abdc5,0x0074647a,0x0277cb1f,0x01e53324},{0x02ac5053,0x01b109b0,0x024b095e,0x016997b3,0x02f26bb6,0x00311021,0x00197885,0x01d0a55a,0x03b6fcc8,0x01c020d5}}, + {{0x02584a34,0x00e7eee0,0x03257a03,0x011e95a3,0x011ead91,0x00536202,0x00b1ce24,0x008516c6,0x03669d6d,0x004ea4a8},{0x00773f01,0x0019c9ce,0x019f6171,0x01d4afde,0x02e33323,0x01ad29b6,0x02ead1dc,0x01ed51a5,0x01851ad0,0x001bbdfa},{0x00577de5,0x00ddc730,0x038b9952,0x00f281ae,0x01d50390,0x0002e071,0x000780ec,0x010d448d,0x01f8a2af,0x00f0a5b7}}, + {{0x031f2541,0x00d34bae,0x0323ff9d,0x003a056d,0x02e25443,0x00a1ad05,0x00d1bee8,0x002f7f8e,0x03007477,0x002a24b1},{0x0114a713,0x01457e76,0x032255d5,0x01cc647f,0x02a4bdef,0x0153d730,0x00118bcf,0x00f755ff,0x013490c7,0x01ea674e},{0x02bda3e8,0x00bb490d,0x00f291ea,0x000abf40,0x01dea321,0x002f9ce0,0x00b2b193,0x00fa54b5,0x0128302f,0x00a19d8b}}, + {{0x022ef5bd,0x01638af3,0x038c6f8a,0x01a33a3d,0x039261b2,0x01bb89b8,0x010bcf9d,0x00cf42a9,0x023d6f17,0x01da1bca},{0x00e35b25,0x000d824f,0x0152e9cf,0x00ed935d,0x020b8460,0x01c7b83f,0x00c969e5,0x01a74198,0x0046a9d9,0x00cbc768},{0x01597c6a,0x0144a99b,0x00a57551,0x0018269c,0x023c464c,0x0009b022,0x00ee39e1,0x0114c7f2,0x038a9ad2,0x01584c17}}, + {{0x03b0c0d5,0x00b30a39,0x038a6ce4,0x01ded83a,0x01c277a6,0x01010a61,0x0346d3eb,0x018d995e,0x02f2c57c,0x000c286b},{0x0092aed1,0x0125e37b,0x027ca201,0x001a6b6b,0x03290f55,0x0047ba48,0x018d916c,0x01a59062,0x013e35d4,0x0002abb1},{0x003ad2aa,0x007ddcc0,0x00c10f76,0x0001590b,0x002cfca6,0x000ed23e,0x00ee4329,0x00900f04,0x01c24065,0x0082fa70}}, + {{0x02025e60,0x003912b8,0x0327041c,0x017e5ee5,0x02c0ecec,0x015a0d1c,0x02b1ce7c,0x0062220b,0x0145067e,0x01a5d931},{0x009673a6,0x00e1f609,0x00927c2a,0x016faa37,0x01650ef0,0x016f63b5,0x03cd40e1,0x003bc38f,0x0361f0ac,0x01d42acc},{0x02f81037,0x008ca0e8,0x017e23d1,0x011debfe,0x01bcbb68,0x002e2563,0x03e8add6,0x000816e5,0x03fb7075,0x0153e5ac}}, + {{0x02b11ecd,0x016bf185,0x008f22ef,0x00e7d2bb,0x0225d92e,0x00ece785,0x00508873,0x017e16f5,0x01fbe85d,0x01e39a0e},{0x01669279,0x017c810a,0x024941f5,0x0023ebeb,0x00eb7688,0x005760f1,0x02ca4146,0x0073cde7,0x0052bb75,0x00f5ffa7},{0x03b8856b,0x00cb7dcd,0x02f14e06,0x001820d0,0x01d74175,0x00e59e22,0x03fba550,0x00484641,0x03350088,0x01c3c9a3}}, + {{0x00dcf355,0x0104481c,0x0022e464,0x01f73fe7,0x00e03325,0x0152b698,0x02ef769a,0x00973663,0x00039b8c,0x0101395b},{0x01805f47,0x019160ec,0x03832cd0,0x008b06eb,0x03d4d717,0x004cb006,0x03a75b8f,0x013b3d30,0x01cfad88,0x01f034d1},{0x0078338a,0x01c7d2e3,0x02bc2b23,0x018b3f05,0x0280d9aa,0x005f3d44,0x0220a95a,0x00eeeb97,0x0362aaec,0x00835d51}}, + {{0x01b9f543,0x013fac4d,0x02ad93ae,0x018ef464,0x0212cdf7,0x01138ba9,0x011583ab,0x019c3d26,0x028790b4,0x00e2e2b6},{0x033bb758,0x01f0dbf1,0x03734bd1,0x0129b1e5,0x02b3950e,0x003bc922,0x01a53ec8,0x018c5532,0x006f3cee,0x00ae3c79},{0x0351f95d,0x0012a737,0x03d596b8,0x017658fe,0x00ace54a,0x008b66da,0x0036c599,0x012a63a2,0x032ceba1,0x00126bac}}, + {{0x03dcfe7e,0x019f4f18,0x01c81aee,0x0044bc2b,0x00827165,0x014f7c13,0x03b430f0,0x00bf96cc,0x020c8d62,0x01471997},{0x01fc7931,0x001f42dd,0x00ba754a,0x005bd339,0x003fbe49,0x016b3930,0x012a159c,0x009f83b0,0x03530f67,0x01e57b85},{0x02ecbd81,0x0096c294,0x01fce4a9,0x017701a5,0x0175047d,0x00ee4a31,0x012686e5,0x008efcd4,0x0349dc54,0x01b3466f}}, + {{0x02179ca3,0x01d86414,0x03f0afd0,0x00305964,0x015c7428,0x0099711e,0x015d5442,0x00c71014,0x01b40b2e,0x01d483cf},{0x01afc386,0x01984859,0x036203ff,0x0045c6a8,0x0020a8aa,0x00990baa,0x03313f10,0x007ceede,0x027429e4,0x017806ce},{0x039357a1,0x0142f8f4,0x0294a7b6,0x00eaccf4,0x0259edb3,0x01311e6e,0x004d326f,0x0130c346,0x01ccef3c,0x01c424b2}}, + {{0x0364918c,0x00148fc0,0x01638a7b,0x01a1fd5b,0x028ad013,0x0081e5a4,0x01a54f33,0x0174e101,0x003d0257,0x003a856c},{0x00051dcf,0x00f62b1d,0x0143d0ad,0x0042adbd,0x000fda90,0x01743ceb,0x0173e5e4,0x017bc749,0x03b7137a,0x0105ce96},{0x00f9218a,0x015b8c7c,0x00e102f8,0x0158d7e2,0x0169a5b8,0x00b2f176,0x018b347a,0x014cfef2,0x0214a4e3,0x017f1595}}, + {{0x006d7ae5,0x0195c371,0x0391e26d,0x0062a7c6,0x003f42ab,0x010dad86,0x024f8198,0x01542b2a,0x0014c454,0x0189c471},{0x0390988e,0x00b8799d,0x02e44912,0x0078e2e6,0x00075654,0x01923eed,0x0040cd72,0x00a37c76,0x0009d466,0x00c8531d},{0x02651770,0x00609d01,0x0286c265,0x0134513c,0x00ee9281,0x005d223c,0x035c760c,0x00679b36,0x0073ecb8,0x016faa50}}, + {{0x02c89be4,0x016fc244,0x02f38c83,0x018beb72,0x02b3ce2c,0x0097b065,0x034f017b,0x01dd957f,0x00148f61,0x00eab357},{0x0343d2f8,0x003398fc,0x011e368e,0x00782a1f,0x00019eea,0x00117b6f,0x0128d0d1,0x01a5e6bb,0x01944f1b,0x012b41e1},{0x03318301,0x018ecd30,0x0104d0b1,0x0038398b,0x03726701,0x019da88c,0x002d9769,0x00a7a681,0x031d9028,0x00ebfc32}}, + {{0x0220405e,0x0171face,0x02d930f8,0x017f6d6a,0x023b8c47,0x0129d5f9,0x02972456,0x00a3a524,0x006f4cd2,0x004439fa},{0x00c53505,0x0190c2fd,0x00507244,0x009930f9,0x01a39270,0x01d327c6,0x0399bc47,0x01cfe13d,0x0332bd99,0x00b33e7d},{0x0203f5e4,0x003627b5,0x00018af8,0x01478581,0x004a2218,0x002e3bb7,0x039384d0,0x0146ea62,0x020b9693,0x0017155f}}, + {{0x03c97e6f,0x00738c47,0x03b5db1f,0x01808fcf,0x01e8fc98,0x01ed25dd,0x01bf5045,0x00eb5c2b,0x0178fe98,0x01b85530},{0x01c20eb0,0x01aeec22,0x030b9eee,0x01b7d07e,0x0187e16f,0x014421fb,0x009fa731,0x0040b6d7,0x00841861,0x00a27fbc},{0x02d69abf,0x0058cdbf,0x0129f9ec,0x013c19ae,0x026c5b93,0x013a7fe7,0x004bb2ba,0x0063226f,0x002a95ca,0x01abefd9}}, + {{0x02f5d2c1,0x00378318,0x03734fb5,0x01258073,0x0263f0f6,0x01ad70e0,0x01b56d06,0x01188fbd,0x011b9503,0x0036d2e1},{0x0113a8cc,0x01541c3e,0x02ac2bbc,0x01d95867,0x01f47459,0x00ead489,0x00ab5b48,0x01db3b45,0x00edb801,0x004b024f},{0x00b8190f,0x011fe4c2,0x00621f82,0x010508d7,0x001a5a76,0x00c7d7fd,0x03aab96d,0x019cd9dc,0x019c6635,0x00ceaa1e}}, + {{0x01085cf2,0x01fd47af,0x03e3f5e1,0x004b3e99,0x01e3d46a,0x0060033c,0x015ff0a8,0x0150cdd8,0x029e8e21,0x008cf1bc},{0x00156cb1,0x003d623f,0x01a4f069,0x00d8d053,0x01b68aea,0x01ca5ab6,0x0316ae43,0x0134dc44,0x001c8d58,0x0084b343},{0x0318c781,0x0135441f,0x03a51a5e,0x019293f4,0x0048bb37,0x013d3341,0x0143151e,0x019c74e1,0x00911914,0x0076ddde}}, + {{0x006bc26f,0x00d48e5f,0x00227bbe,0x00629ea8,0x01ea5f8b,0x0179a330,0x027a1d5f,0x01bf8f8e,0x02d26e2a,0x00c6b65e},{0x01701ab6,0x0051da77,0x01b4b667,0x00a0ce7c,0x038ae37b,0x012ac852,0x03a0b0fe,0x0097c2bb,0x00a017d2,0x01eb8b2a},{0x0120b962,0x0005fb42,0x0353b6fd,0x0061f8ce,0x007a1463,0x01560a64,0x00e0a792,0x01907c92,0x013a6622,0x007b47f1}} +}; + +// *************** modm-donna-32bit.h *************** // + +const bignum256modm modm_m = { + 0x1cf5d3ed, 0x20498c69, 0x2f79cd65, 0x37be77a8, + 0x00000014, 0x00000000, 0x00000000, 0x00000000, + 0x00001000 +}; + +const bignum256modm modm_mu = { + 0x0a2c131b, 0x3673968c, 0x06329a7e, 0x01885742, + 0x3fffeb21, 0x3fffffff, 0x3fffffff, 0x3fffffff, + 0x000fffff +}; + +/* multiples of p */ +const word32 twoP0 = 0x07ffffda; +const word32 twoP13579 = 0x03fffffe; +const word32 twoP2468 = 0x07fffffe; +const word32 fourP0 = 0x0fffffb4; +const word32 fourP13579 = 0x07fffffc; +const word32 fourP2468 = 0x0ffffffc; + +// *************** ed25519-donna-basepoint-table.h *************** // + +/* multiples of the base point in packed {ysubx, xaddy, t2d} form */ +ALIGN(16) const byte ge25519_niels_base_multiples[256][96] = { + {0x3e,0x91,0x40,0xd7,0x05,0x39,0x10,0x9d,0xb3,0xbe,0x40,0xd1,0x05,0x9f,0x39,0xfd,0x09,0x8a,0x8f,0x68,0x34,0x84,0xc1,0xa5,0x67,0x12,0xf8,0x98,0x92,0x2f,0xfd,0x44,0x85,0x3b,0x8c,0xf5,0xc6,0x93,0xbc,0x2f,0x19,0x0e,0x8c,0xfb,0xc6,0x2d,0x93,0xcf,0xc2,0x42,0x3d,0x64,0x98,0x48,0x0b,0x27,0x65,0xba,0xd4,0x33,0x3a,0x9d,0xcf,0x07,0x59,0xbb,0x6f,0x4b,0x67,0x15,0xbd,0xdb,0xea,0xa5,0xa2,0xee,0x00,0x3f,0xe1,0x41,0xfa,0xc6,0x57,0xc9,0x1c,0x9d,0xd4,0xcd,0xca,0xec,0x16,0xaf,0x1f,0xbe,0x0e,0x4f}, + {0xa8,0xd5,0xb4,0x42,0x60,0xa5,0x99,0x8a,0xf6,0xac,0x60,0x4e,0x0c,0x81,0x2b,0x8f,0xaa,0x37,0x6e,0xb1,0x6b,0x23,0x9e,0xe0,0x55,0x25,0xc9,0x69,0xa6,0x95,0xb5,0x6b,0xd7,0x71,0x3c,0x93,0xfc,0xe7,0x24,0x92,0xb5,0xf5,0x0f,0x7a,0x96,0x9d,0x46,0x9f,0x02,0x07,0xd6,0xe1,0x65,0x9a,0xa6,0x5a,0x2e,0x2e,0x7d,0xa8,0x3f,0x06,0x0c,0x59,0x02,0x68,0xd3,0xda,0xaa,0x7e,0x34,0x6e,0x05,0x48,0xee,0x83,0x93,0x59,0xf3,0xba,0x26,0x68,0x07,0xe6,0x10,0xbe,0xca,0x3b,0xb8,0xd1,0x5e,0x16,0x0a,0x4f,0x31,0x49}, + {0x65,0xd2,0xfc,0xa4,0xe8,0x1f,0x61,0x56,0x7d,0xba,0xc1,0xe5,0xfd,0x53,0xd3,0x3b,0xbd,0xd6,0x4b,0x21,0x1a,0xf3,0x31,0x81,0x62,0xda,0x5b,0x55,0x87,0x15,0xb9,0x2a,0x30,0x97,0xee,0x4c,0xa8,0xb0,0x25,0xaf,0x8a,0x4b,0x86,0xe8,0x30,0x84,0x5a,0x02,0x32,0x67,0x01,0x9f,0x02,0x50,0x1b,0xc1,0xf4,0xf8,0x80,0x9a,0x1b,0x4e,0x16,0x7a,0x34,0x48,0x67,0xf1,0xf4,0x11,0xf2,0x9b,0x95,0xf8,0x2d,0xf6,0x17,0x6b,0x4e,0xb8,0x4e,0x2a,0x72,0x5b,0x07,0x6f,0xde,0xd7,0x21,0x2a,0xbb,0x63,0xb9,0x04,0x9a,0x54}, + {0xbf,0x18,0x68,0x05,0x0a,0x05,0xfe,0x95,0xa9,0xfa,0x60,0x56,0x71,0x89,0x7e,0x32,0x73,0x50,0xa0,0x06,0xcd,0xe3,0xe8,0xc3,0x9a,0xa4,0x45,0x74,0x4c,0x3f,0x93,0x27,0x9f,0x09,0xfc,0x8e,0xb9,0x51,0x73,0x28,0x38,0x25,0xfd,0x7d,0xf4,0xc6,0x65,0x67,0x65,0x92,0x0a,0xfb,0x3d,0x8d,0x34,0xca,0x27,0x87,0xe5,0x21,0x03,0x91,0x0e,0x68,0xb0,0x26,0x14,0xe5,0xec,0x45,0x1e,0xbf,0x94,0x0f,0xba,0x6d,0x3d,0xc6,0x2b,0xe3,0xc0,0x52,0xf8,0x8c,0xd5,0x74,0x29,0xe4,0x18,0x4c,0xe6,0xb0,0xb1,0x79,0xf0,0x44}, + {0xba,0xd6,0x47,0xa4,0xc3,0x82,0x91,0x7f,0xb7,0x29,0x27,0x4b,0xd1,0x14,0x00,0xd5,0x87,0xa0,0x64,0xb8,0x1c,0xf1,0x3c,0xe3,0xf3,0x55,0x1b,0xeb,0x73,0x7e,0x4a,0x15,0x33,0xbb,0xa5,0x08,0x44,0xbc,0x12,0xa2,0x02,0xed,0x5e,0xc7,0xc3,0x48,0x50,0x8d,0x44,0xec,0xbf,0x5a,0x0c,0xeb,0x1b,0xdd,0xeb,0x06,0xe2,0x46,0xf1,0xcc,0x45,0x29,0xb3,0x03,0xd0,0xe7,0x79,0xa1,0x32,0xc8,0x7e,0x4d,0x12,0x00,0x0a,0x9d,0x72,0x5f,0xf3,0x8f,0x6d,0x0e,0xa1,0xd4,0xc1,0x62,0x98,0x7a,0xb2,0x38,0x59,0xac,0xb8,0x68}, + {0xa4,0x8c,0x7d,0x7b,0xb6,0x06,0x98,0x49,0x39,0x27,0xd2,0x27,0x84,0xe2,0x5b,0x57,0xb9,0x53,0x45,0x20,0xe7,0x5c,0x08,0xbb,0x84,0x78,0x41,0xae,0x41,0x4c,0xb6,0x38,0x31,0x71,0x15,0x77,0xeb,0xee,0x0c,0x3a,0x88,0xaf,0xc8,0x00,0x89,0x15,0x27,0x9b,0x36,0xa7,0x59,0xda,0x68,0xb6,0x65,0x80,0xbd,0x38,0xcc,0xa2,0xb6,0x7b,0xe5,0x51,0xa4,0xe3,0x9d,0x68,0x91,0xad,0x9d,0x8f,0x37,0x91,0xfb,0xf8,0x28,0x24,0x5f,0x17,0x88,0xb9,0xcf,0x9f,0x32,0xb5,0x0a,0x05,0x9f,0xc0,0x54,0x13,0xa2,0xdf,0x65,0x78}, + {0xb1,0x21,0x32,0xaa,0x9a,0x2c,0x6f,0xba,0xa7,0x23,0xba,0x3b,0x53,0x21,0xa0,0x6c,0x3a,0x2c,0x19,0x92,0x4f,0x76,0xea,0x9d,0xe0,0x17,0x53,0x2e,0x5d,0xdd,0x6e,0x1d,0xbf,0xa3,0x4e,0x94,0xd0,0x5c,0x1a,0x6b,0xd2,0xc0,0x9d,0xb3,0x3a,0x35,0x70,0x74,0x49,0x2e,0x54,0x28,0x82,0x52,0xb2,0x71,0x7e,0x92,0x3c,0x28,0x69,0xea,0x1b,0x46,0x36,0xda,0x0f,0xab,0xac,0x8a,0x7a,0x21,0xc8,0x49,0x35,0x3d,0x54,0xc6,0x28,0xa5,0x68,0x75,0xab,0x13,0x8b,0x5b,0xd0,0x37,0x37,0xbc,0x2c,0x3a,0x62,0xef,0x3c,0x23}, + 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{0x2e,0x34,0xc5,0x49,0xaf,0x92,0xbc,0x1a,0xd0,0xfa,0xe6,0xb2,0x11,0xd8,0xee,0xff,0x29,0x4e,0xc8,0xfc,0x8d,0x8c,0xa2,0xef,0x43,0xc5,0x4c,0xa4,0x18,0xdf,0xb5,0x11,0xfc,0x75,0xa9,0x42,0x8a,0xbb,0x7b,0xbf,0x58,0xa3,0xad,0x96,0x77,0x39,0x5c,0x8c,0x48,0xaa,0xed,0xcd,0x6f,0xc7,0x7f,0xe2,0xa6,0x20,0xbc,0xf6,0xd7,0x5f,0x73,0x19,0x66,0x42,0xc8,0x42,0xd0,0x90,0xab,0xe3,0x7e,0x54,0x19,0x7f,0x0f,0x8e,0x84,0xeb,0xb9,0x97,0xa4,0x65,0xd0,0xa1,0x03,0x25,0x5f,0x89,0xdf,0x91,0x11,0x91,0xef,0x0f} +}; + +NAMESPACE_END // Arch32 +NAMESPACE_END // Donna +NAMESPACE_END // CryptoPP + +#endif // CRYPTOPP_DONNA_32_H diff --git a/donna_64.cpp b/donna_64.cpp index c78deceb..370ff43b 100644 --- a/donna_64.cpp +++ b/donna_64.cpp @@ -1,6 +1,19 @@ // donna_64.cpp - written and placed in public domain by Jeffrey Walton -// This is a integration of Andrew Moon's public domain code. -// Also see https://github.com/floodyberry/curve25519-donna. +// Crypto++ specific implementation wrapped around Andrew +// Moon's public domain curve25519-donna and ed25519-donna, +// https://github.com/floodyberry/curve25519-donna and +// https://github.com/floodyberry/ed25519-donna. + +// The curve25519 and ed25519 source files multiplex different repos and +// architectures using namespaces. The repos are Andrew Moon's +// curve25519-donna and ed25519-donna. The architectures are 32-bit, 64-bit +// and SSE. For example, 32-bit x25519 uses symbols from Donna::X25519 and +// Donna::Arch32. + +// A fair amount of duplication happens below, but we could not directly +// use curve25519 for both x25519 and ed25519. A close examination reveals +// slight differences in the implementation. For example, look at the +// two curve25519_sub functions. // If needed, see Moon's commit "Go back to ignoring 256th bit [sic]", // https://github.com/floodyberry/curve25519-donna/commit/57a683d18721a658 @@ -10,6 +23,7 @@ #include "config.h" #include "donna.h" #include "secblock.h" +#include "sha.h" #include "misc.h" #include "cpu.h" @@ -18,15 +32,33 @@ extern const char DONNA64_FNAME[] = __FILE__; #if defined(CRYPTOPP_CURVE25519_64BIT) -#if defined(_MSC_VER) -# include -# pragma intrinsic(_umul128) -# pragma intrinsic(__shiftright128) -#endif +#include "donna_64.h" ANONYMOUS_NAMESPACE_BEGIN -using std::memcpy; +using CryptoPP::byte; +using CryptoPP::word64; +using CryptoPP::GetWord; +using CryptoPP::PutWord; +using CryptoPP::LITTLE_ENDIAN_ORDER; + +inline word64 U8TO64_LE(const byte* p) +{ + return GetWord(false, LITTLE_ENDIAN_ORDER, p); +} + +inline void U64TO8_LE(byte* p, word64 w) +{ + PutWord(false, LITTLE_ENDIAN_ORDER, p, w); +} + +ANONYMOUS_NAMESPACE_END + +NAMESPACE_BEGIN(CryptoPP) +NAMESPACE_BEGIN(Donna) +NAMESPACE_BEGIN(X25519) +ANONYMOUS_NAMESPACE_BEGIN + using CryptoPP::byte; using CryptoPP::word32; using CryptoPP::sword32; @@ -36,51 +68,8 @@ using CryptoPP::sword64; using CryptoPP::GetBlock; using CryptoPP::LittleEndian; -typedef word64 bignum25519[5]; - -#if defined(CRYPTOPP_WORD128_AVAILABLE) -using CryptoPP::word128; -# define lo128(a) ((word64)a) -# define hi128(a) ((word64)(a >> 64)) -# define add128(a,b) a += b; -# define add128_64(a,b) a += (word64)b; -# define mul64x64_128(out,a,b) out = (word128)a * b; -# define shr128(out,in,shift) out = (word64)(in >> (shift)); -// # define shl128(out,in,shift) out = (word64)((in << shift) >> 64); - -#elif defined(_MSC_VER) -struct word128 { word64 lo, hi; }; -# define mul64x64_128(out,a,b) out.lo = _umul128(a,b,&out.hi); -# define shr128_pair(out,hi,lo,shift) out = __shiftright128(lo, hi, shift); -// # define shl128_pair(out,hi,lo,shift) out = __shiftleft128(lo, hi, shift); -# define shr128(out,in,shift) shr128_pair(out, in.hi, in.lo, shift) -// # define shl128(out,in,shift) shl128_pair(out, in.hi, in.lo, shift) -# define add128(a,b) { word64 p = a.lo; a.lo += b.lo; a.hi += b.hi + (a.lo < p); } -# define add128_64(a,b) { word64 p = a.lo; a.lo += b; a.hi += (a.lo < p); } -# define lo128(a) (a.lo) -# define hi128(a) (a.hi) - -#elif defined(__GNUC__) -struct word128 { word64 lo, hi; }; -# define mul64x64_128(out,a,b) __asm__ ("mulq %3" : "=a" (out.lo), "=d" (out.hi) : "a" (a), "rm" (b)); -# define shr128_pair(out,hi,lo,shift) __asm__ ("shrdq %2,%1,%0" : "+r" (lo) : "r" (hi), "J" (shift)); out = lo; -// # define shl128_pair(out,hi,lo,shift) __asm__ ("shldq %2,%1,%0" : "+r" (hi) : "r" (lo), "J" (shift)); out = hi; -# define shr128(out,in,shift) shr128_pair(out,in.hi, in.lo, shift) -// # define shl128(out,in,shift) shl128_pair(out,in.hi, in.lo, shift) -# define add128(a,b) __asm__ ("addq %4,%2; adcq %5,%3" : "=r" (a.hi), "=r" (a.lo) : "1" (a.lo), "0" (a.hi), "rm" (b.lo), "rm" (b.hi) : "cc"); -# define add128_64(a,b) __asm__ ("addq %4,%2; adcq $0,%3" : "=r" (a.hi), "=r" (a.lo) : "1" (a.lo), "0" (a.hi), "rm" (b) : "cc"); -# define lo128(a) (a.lo) -# define hi128(a) (a.hi) -#else -// https://groups.google.com/forum/#!forum/cryptopp-users -# error "Unsupported platform" -#endif - -#define ALIGN(n) CRYPTOPP_ALIGN_DATA(n) - -const byte basePoint[32] = {9}; -const word64 reduce_mask_51 = ((word64)1 << 51) - 1; -// const word64 reduce_mask_52 = ((word64)1 << 52) - 1; +// Bring in all the symbols from the 64-bit header +using namespace CryptoPP::Donna::Arch64; /* out = in */ inline void @@ -100,9 +89,6 @@ curve25519_add(bignum25519 out, const bignum25519 a, const bignum25519 b) { out[4] = a[4] + b[4]; } -const word64 two54m152 = (((word64)1) << 54) - 152; -const word64 two54m8 = (((word64)1) << 54) - 8; - /* out = a - b */ inline void curve25519_sub(bignum25519 out, const bignum25519 a, const bignum25519 b) { @@ -274,7 +260,6 @@ curve25519_square(bignum25519 out, const bignum25519 in) { inline void curve25519_expand(bignum25519 out, const byte *in) { word64 x0,x1,x2,x3; - GetBlock block(in); block(x0)(x1)(x2)(x3); @@ -405,12 +390,1066 @@ curve25519_recip(bignum25519 out, const bignum25519 z) { } ANONYMOUS_NAMESPACE_END +NAMESPACE_END // X25519 +NAMESPACE_END // Donna +NAMESPACE_END // CryptoPP + +//******************************* ed25519 *******************************// + +NAMESPACE_BEGIN(CryptoPP) +NAMESPACE_BEGIN(Donna) +NAMESPACE_BEGIN(Ed25519) +ANONYMOUS_NAMESPACE_BEGIN + +using CryptoPP::byte; +using CryptoPP::word32; +using CryptoPP::sword32; +using CryptoPP::word64; +using CryptoPP::sword64; + +using CryptoPP::GetBlock; +using CryptoPP::LittleEndian; + +using CryptoPP::SHA512; + +// Bring in all the symbols from the 64-bit header +using namespace CryptoPP::Donna::Arch64; + +/* out = in */ +inline void +curve25519_copy(bignum25519 out, const bignum25519 in) { + out[0] = in[0]; out[1] = in[1]; + out[2] = in[2]; out[3] = in[3]; + out[4] = in[4]; +} + +/* out = a + b */ +inline void +curve25519_add(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + b[0]; out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; +} + +/* out = a + b, where a and/or b are the result of a basic op (add,sub) */ +inline void +curve25519_add_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + b[0]; out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; +} + +inline void +curve25519_add_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { + word64 c; + out[0] = a[0] + b[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51; + out[1] = a[1] + b[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51; + out[2] = a[2] + b[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51; + out[3] = a[3] + b[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51; + out[4] = a[4] + b[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51; + out[0] += c * 19; +} + +/* out = a - b */ +inline void +curve25519_sub(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + twoP0 - b[0]; + out[1] = a[1] + twoP1234 - b[1]; + out[2] = a[2] + twoP1234 - b[2]; + out[3] = a[3] + twoP1234 - b[3]; + out[4] = a[4] + twoP1234 - b[4]; +} + +/* out = a - b, where a and/or b are the result of a basic op (add,sub) */ +inline void +curve25519_sub_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + fourP0 - b[0]; + out[1] = a[1] + fourP1234 - b[1]; + out[2] = a[2] + fourP1234 - b[2]; + out[3] = a[3] + fourP1234 - b[3]; + out[4] = a[4] + fourP1234 - b[4]; +} + +inline void +curve25519_sub_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { + word64 c; + out[0] = a[0] + fourP0 - b[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51; + out[1] = a[1] + fourP1234 - b[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51; + out[2] = a[2] + fourP1234 - b[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51; + out[3] = a[3] + fourP1234 - b[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51; + out[4] = a[4] + fourP1234 - b[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51; + out[0] += c * 19; +} + +/* out = -a */ +inline void +curve25519_neg(bignum25519 out, const bignum25519 a) { + word64 c; + out[0] = twoP0 - a[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51; + out[1] = twoP1234 - a[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51; + out[2] = twoP1234 - a[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51; + out[3] = twoP1234 - a[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51; + out[4] = twoP1234 - a[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51; + out[0] += c * 19; +} + +/* out = a * b */ +inline void +curve25519_mul(bignum25519 out, const bignum25519 in2, const bignum25519 in) { +#if !defined(CRYPTOPP_WORD128_AVAILABLE) + word128 mul; +#endif + word128 t[5]; + word64 r0,r1,r2,r3,r4,s0,s1,s2,s3,s4,c; + + r0 = in[0]; r1 = in[1]; + r2 = in[2]; r3 = in[3]; + r4 = in[4]; + + s0 = in2[0]; s1 = in2[1]; + s2 = in2[2]; s3 = in2[3]; + s4 = in2[4]; + +#if defined(CRYPTOPP_WORD128_AVAILABLE) + t[0] = ((word128) r0) * s0; + t[1] = ((word128) r0) * s1 + ((word128) r1) * s0; + t[2] = ((word128) r0) * s2 + ((word128) r2) * s0 + ((word128) r1) * s1; + t[3] = ((word128) r0) * s3 + ((word128) r3) * s0 + ((word128) r1) * s2 + ((word128) r2) * s1; + t[4] = ((word128) r0) * s4 + ((word128) r4) * s0 + ((word128) r3) * s1 + ((word128) r1) * s3 + ((word128) r2) * s2; +#else + mul64x64_128(t[0], r0, s0) + mul64x64_128(t[1], r0, s1) mul64x64_128(mul, r1, s0) add128(t[1], mul) + mul64x64_128(t[2], r0, s2) mul64x64_128(mul, r2, s0) add128(t[2], mul) mul64x64_128(mul, r1, s1) add128(t[2], mul) + mul64x64_128(t[3], r0, s3) mul64x64_128(mul, r3, s0) add128(t[3], mul) mul64x64_128(mul, r1, s2) add128(t[3], mul) mul64x64_128(mul, r2, s1) add128(t[3], mul) + mul64x64_128(t[4], r0, s4) mul64x64_128(mul, r4, s0) add128(t[4], mul) mul64x64_128(mul, r3, s1) add128(t[4], mul) mul64x64_128(mul, r1, s3) add128(t[4], mul) mul64x64_128(mul, r2, s2) add128(t[4], mul) +#endif + + r1 *= 19; r2 *= 19; + r3 *= 19; r4 *= 19; + +#if defined(CRYPTOPP_WORD128_AVAILABLE) + t[0] += ((word128) r4) * s1 + ((word128) r1) * s4 + ((word128) r2) * s3 + ((word128) r3) * s2; + t[1] += ((word128) r4) * s2 + ((word128) r2) * s4 + ((word128) r3) * s3; + t[2] += ((word128) r4) * s3 + ((word128) r3) * s4; + t[3] += ((word128) r4) * s4; +#else + mul64x64_128(mul, r4, s1) add128(t[0], mul) mul64x64_128(mul, r1, s4) add128(t[0], mul) mul64x64_128(mul, r2, s3) add128(t[0], mul) mul64x64_128(mul, r3, s2) add128(t[0], mul) + mul64x64_128(mul, r4, s2) add128(t[1], mul) mul64x64_128(mul, r2, s4) add128(t[1], mul) mul64x64_128(mul, r3, s3) add128(t[1], mul) + mul64x64_128(mul, r4, s3) add128(t[2], mul) mul64x64_128(mul, r3, s4) add128(t[2], mul) + mul64x64_128(mul, r4, s4) add128(t[3], mul) +#endif + + r0 = lo128(t[0]) & reduce_mask_51; shr128(c, t[0], 51); + add128_64(t[1], c) r1 = lo128(t[1]) & reduce_mask_51; shr128(c, t[1], 51); + add128_64(t[2], c) r2 = lo128(t[2]) & reduce_mask_51; shr128(c, t[2], 51); + add128_64(t[3], c) r3 = lo128(t[3]) & reduce_mask_51; shr128(c, t[3], 51); + add128_64(t[4], c) r4 = lo128(t[4]) & reduce_mask_51; shr128(c, t[4], 51); + r0 += c * 19; c = r0 >> 51; r0 = r0 & reduce_mask_51; + r1 += c; + + out[0] = r0; out[1] = r1; + out[2] = r2; out[3] = r3; + out[4] = r4; +} + +void +curve25519_mul_noinline(bignum25519 out, const bignum25519 in2, const bignum25519 in) { + curve25519_mul(out, in2, in); +} + +/* out = in^(2 * count) */ +void +curve25519_square_times(bignum25519 out, const bignum25519 in, word64 count) { +#if !defined(CRYPTOPP_WORD128_AVAILABLE) + word128 mul; +#endif + word128 t[5]; + word64 r0,r1,r2,r3,r4,c; + word64 d0,d1,d2,d4,d419; + + r0 = in[0]; r1 = in[1]; + r2 = in[2]; r3 = in[3]; + r4 = in[4]; + + do { + d0 = r0 * 2; + d1 = r1 * 2; + d2 = r2 * 2 * 19; + d419 = r4 * 19; + d4 = d419 * 2; + +#if defined(CRYPTOPP_WORD128_AVAILABLE) + t[0] = ((word128) r0) * r0 + ((word128) d4) * r1 + (((word128) d2) * (r3 )); + t[1] = ((word128) d0) * r1 + ((word128) d4) * r2 + (((word128) r3) * (r3 * 19)); + t[2] = ((word128) d0) * r2 + ((word128) r1) * r1 + (((word128) d4) * (r3 )); + t[3] = ((word128) d0) * r3 + ((word128) d1) * r2 + (((word128) r4) * (d419 )); + t[4] = ((word128) d0) * r4 + ((word128) d1) * r3 + (((word128) r2) * (r2 )); +#else + mul64x64_128(t[0], r0, r0) mul64x64_128(mul, d4, r1) add128(t[0], mul) mul64x64_128(mul, d2, r3) add128(t[0], mul) + mul64x64_128(t[1], d0, r1) mul64x64_128(mul, d4, r2) add128(t[1], mul) mul64x64_128(mul, r3, r3 * 19) add128(t[1], mul) + mul64x64_128(t[2], d0, r2) mul64x64_128(mul, r1, r1) add128(t[2], mul) mul64x64_128(mul, d4, r3) add128(t[2], mul) + mul64x64_128(t[3], d0, r3) mul64x64_128(mul, d1, r2) add128(t[3], mul) mul64x64_128(mul, r4, d419) add128(t[3], mul) + mul64x64_128(t[4], d0, r4) mul64x64_128(mul, d1, r3) add128(t[4], mul) mul64x64_128(mul, r2, r2) add128(t[4], mul) +#endif + + r0 = lo128(t[0]) & reduce_mask_51; + r1 = lo128(t[1]) & reduce_mask_51; shl128(c, t[0], 13); r1 += c; + r2 = lo128(t[2]) & reduce_mask_51; shl128(c, t[1], 13); r2 += c; + r3 = lo128(t[3]) & reduce_mask_51; shl128(c, t[2], 13); r3 += c; + r4 = lo128(t[4]) & reduce_mask_51; shl128(c, t[3], 13); r4 += c; + shl128(c, t[4], 13); r0 += c * 19; + c = r0 >> 51; r0 &= reduce_mask_51; + r1 += c ; c = r1 >> 51; r1 &= reduce_mask_51; + r2 += c ; c = r2 >> 51; r2 &= reduce_mask_51; + r3 += c ; c = r3 >> 51; r3 &= reduce_mask_51; + r4 += c ; c = r4 >> 51; r4 &= reduce_mask_51; + r0 += c * 19; + } while(--count); + + out[0] = r0; out[1] = r1; + out[2] = r2; out[3] = r3; + out[4] = r4; +} + +inline void +curve25519_square(bignum25519 out, const bignum25519 in) { +#if !defined(CRYPTOPP_WORD128_AVAILABLE) + word128 mul; +#endif + word128 t[5]; + word64 r0,r1,r2,r3,r4,c; + word64 d0,d1,d2,d4,d419; + + r0 = in[0]; r1 = in[1]; + r2 = in[2]; r3 = in[3]; + r4 = in[4]; + + d0 = r0 * 2; d1 = r1 * 2; + d2 = r2 * 2 * 19; + d419 = r4 * 19; + d4 = d419 * 2; + +#if defined(CRYPTOPP_WORD128_AVAILABLE) + t[0] = ((word128) r0) * r0 + ((word128) d4) * r1 + (((word128) d2) * (r3 )); + t[1] = ((word128) d0) * r1 + ((word128) d4) * r2 + (((word128) r3) * (r3 * 19)); + t[2] = ((word128) d0) * r2 + ((word128) r1) * r1 + (((word128) d4) * (r3 )); + t[3] = ((word128) d0) * r3 + ((word128) d1) * r2 + (((word128) r4) * (d419 )); + t[4] = ((word128) d0) * r4 + ((word128) d1) * r3 + (((word128) r2) * (r2 )); +#else + mul64x64_128(t[0], r0, r0) mul64x64_128(mul, d4, r1) add128(t[0], mul) mul64x64_128(mul, d2, r3) add128(t[0], mul) + mul64x64_128(t[1], d0, r1) mul64x64_128(mul, d4, r2) add128(t[1], mul) mul64x64_128(mul, r3, r3 * 19) add128(t[1], mul) + mul64x64_128(t[2], d0, r2) mul64x64_128(mul, r1, r1) add128(t[2], mul) mul64x64_128(mul, d4, r3) add128(t[2], mul) + mul64x64_128(t[3], d0, r3) mul64x64_128(mul, d1, r2) add128(t[3], mul) mul64x64_128(mul, r4, d419) add128(t[3], mul) + mul64x64_128(t[4], d0, r4) mul64x64_128(mul, d1, r3) add128(t[4], mul) mul64x64_128(mul, r2, r2) add128(t[4], mul) +#endif + + r0 = lo128(t[0]) & reduce_mask_51; shr128(c, t[0], 51); + add128_64(t[1], c) r1 = lo128(t[1]) & reduce_mask_51; shr128(c, t[1], 51); + add128_64(t[2], c) r2 = lo128(t[2]) & reduce_mask_51; shr128(c, t[2], 51); + add128_64(t[3], c) r3 = lo128(t[3]) & reduce_mask_51; shr128(c, t[3], 51); + add128_64(t[4], c) r4 = lo128(t[4]) & reduce_mask_51; shr128(c, t[4], 51); + r0 += c * 19; c = r0 >> 51; r0 = r0 & reduce_mask_51; + r1 += c; + + out[0] = r0; out[1] = r1; + out[2] = r2; out[3] = r3; + out[4] = r4; +} + +/* Take a little-endian, 32-byte number and expand it into polynomial form */ +inline void +curve25519_expand(bignum25519 out, const byte *in) { + word64 x0,x1,x2,x3; + GetBlock block(in); + block(x0)(x1)(x2)(x3); + + out[0] = x0 & reduce_mask_51; x0 = (x0 >> 51) | (x1 << 13); + out[1] = x0 & reduce_mask_51; x1 = (x1 >> 38) | (x2 << 26); + out[2] = x1 & reduce_mask_51; x2 = (x2 >> 25) | (x3 << 39); + out[3] = x2 & reduce_mask_51; x3 = (x3 >> 12); + out[4] = x3 & reduce_mask_51; +} + +/* Take a fully reduced polynomial form number and contract it into a + * little-endian, 32-byte array + */ +inline void +curve25519_contract(byte *out, const bignum25519 input) { + word64 t[5]; + word64 f, i; + + t[0] = input[0]; + t[1] = input[1]; + t[2] = input[2]; + t[3] = input[3]; + t[4] = input[4]; + + #define curve25519_contract_carry() \ + t[1] += t[0] >> 51; t[0] &= reduce_mask_51; \ + t[2] += t[1] >> 51; t[1] &= reduce_mask_51; \ + t[3] += t[2] >> 51; t[2] &= reduce_mask_51; \ + t[4] += t[3] >> 51; t[3] &= reduce_mask_51; + + #define curve25519_contract_carry_full() curve25519_contract_carry() \ + t[0] += 19 * (t[4] >> 51); t[4] &= reduce_mask_51; + + #define curve25519_contract_carry_final() curve25519_contract_carry() \ + t[4] &= reduce_mask_51; + + curve25519_contract_carry_full() + curve25519_contract_carry_full() + + /* now t is between 0 and 2^255-1, properly carried. */ + /* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */ + t[0] += 19; + curve25519_contract_carry_full() + + /* now between 19 and 2^255-1 in both cases, and offset by 19. */ + t[0] += (reduce_mask_51 + 1) - 19; + t[1] += (reduce_mask_51 + 1) - 1; + t[2] += (reduce_mask_51 + 1) - 1; + t[3] += (reduce_mask_51 + 1) - 1; + t[4] += (reduce_mask_51 + 1) - 1; + + /* now between 2^255 and 2^256-20, and offset by 2^255. */ + curve25519_contract_carry_final() + + #define write51full(n,shift) \ + f = ((t[n] >> shift) | (t[n+1] << (51 - shift))); \ + for (i = 0; i < 8; i++, f >>= 8) *out++ = (byte)f; + #define write51(n) write51full(n,13*n) + write51(0) + write51(1) + write51(2) + write51(3) +} + +#if !defined(ED25519_GCC_64BIT_CHOOSE) + +/* out = (flag) ? in : out */ +inline void +curve25519_move_conditional_bytes(uint8_t out[96], const uint8_t in[96], word64 flag) { + const word64 nb = flag - 1, b = ~nb; + const word64 *inq = (const word64 *)in; + word64 *outq = (word64 *)out; + outq[0] = (outq[0] & nb) | (inq[0] & b); + outq[1] = (outq[1] & nb) | (inq[1] & b); + outq[2] = (outq[2] & nb) | (inq[2] & b); + outq[3] = (outq[3] & nb) | (inq[3] & b); + outq[4] = (outq[4] & nb) | (inq[4] & b); + outq[5] = (outq[5] & nb) | (inq[5] & b); + outq[6] = (outq[6] & nb) | (inq[6] & b); + outq[7] = (outq[7] & nb) | (inq[7] & b); + outq[8] = (outq[8] & nb) | (inq[8] & b); + outq[9] = (outq[9] & nb) | (inq[9] & b); + outq[10] = (outq[10] & nb) | (inq[10] & b); + outq[11] = (outq[11] & nb) | (inq[11] & b); +} + +/* if (iswap) swap(a, b) */ +inline void +curve25519_swap_conditional(bignum25519 a, bignum25519 b, word64 iswap) { + const word64 swap = (word64)(-(int64_t)iswap); + word64 x0,x1,x2,x3,x4; + + x0 = swap & (a[0] ^ b[0]); a[0] ^= x0; b[0] ^= x0; + x1 = swap & (a[1] ^ b[1]); a[1] ^= x1; b[1] ^= x1; + x2 = swap & (a[2] ^ b[2]); a[2] ^= x2; b[2] ^= x2; + x3 = swap & (a[3] ^ b[3]); a[3] ^= x3; b[3] ^= x3; + x4 = swap & (a[4] ^ b[4]); a[4] ^= x4; b[4] ^= x4; +} + +#endif /* ED25519_GCC_64BIT_CHOOSE */ + +// ************************************************************************************ + +inline void +ed25519_hash(byte *hash, const byte *in, size_t inlen) { + SHA512().CalculateDigest(hash, in, inlen); +} + +inline void +ed25519_extsk(hash_512bits extsk, const byte sk[32]) { + ed25519_hash(extsk, sk, 32); + extsk[0] &= 248; + extsk[31] &= 127; + extsk[31] |= 64; +} + +void +ed25519_hram(hash_512bits hram, const byte RS[64], const byte pk[32], const unsigned char *m, size_t mlen) { + SHA512 hash; + hash.Update(RS, 32); + hash.Update(pk, 32); + hash.Update(m, mlen); + hash.Final(hram); +} + +bignum256modm_element_t +lt_modm(bignum256modm_element_t a, bignum256modm_element_t b) { + return (a - b) >> 63; +} + +void +reduce256_modm(bignum256modm r) { + bignum256modm t; + bignum256modm_element_t b = 0, pb, mask; + + /* t = r - m */ + pb = 0; + pb += modm_m[0]; b = lt_modm(r[0], pb); t[0] = (r[0] - pb + (b << 56)); pb = b; + pb += modm_m[1]; b = lt_modm(r[1], pb); t[1] = (r[1] - pb + (b << 56)); pb = b; + pb += modm_m[2]; b = lt_modm(r[2], pb); t[2] = (r[2] - pb + (b << 56)); pb = b; + pb += modm_m[3]; b = lt_modm(r[3], pb); t[3] = (r[3] - pb + (b << 56)); pb = b; + pb += modm_m[4]; b = lt_modm(r[4], pb); t[4] = (r[4] - pb + (b << 32)); + + /* keep r if r was smaller than m */ + mask = b - 1; + + r[0] ^= mask & (r[0] ^ t[0]); + r[1] ^= mask & (r[1] ^ t[1]); + r[2] ^= mask & (r[2] ^ t[2]); + r[3] ^= mask & (r[3] ^ t[3]); + r[4] ^= mask & (r[4] ^ t[4]); +} + +void +barrett_reduce256_modm(bignum256modm r, const bignum256modm q1, const bignum256modm r1) { + bignum256modm q3, r2; + word128 c, mul; + bignum256modm_element_t f, b, pb; + + /* q1 = x >> 248 = 264 bits = 5 56 bit elements + q2 = mu * q1 + q3 = (q2 / 256(32+1)) = q2 / (2^8)^(32+1) = q2 >> 264 */ + mul64x64_128(c, modm_mu[0], q1[3]) mul64x64_128(mul, modm_mu[3], q1[0]) add128(c, mul) mul64x64_128(mul, modm_mu[1], q1[2]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[1]) add128(c, mul) shr128(f, c, 56); + mul64x64_128(c, modm_mu[0], q1[4]) add128_64(c, f) mul64x64_128(mul, modm_mu[4], q1[0]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[1]) add128(c, mul) mul64x64_128(mul, modm_mu[1], q1[3]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[2]) add128(c, mul) + f = lo128(c); q3[0] = (f >> 40) & 0xffff; shr128(f, c, 56); + mul64x64_128(c, modm_mu[4], q1[1]) add128_64(c, f) mul64x64_128(mul, modm_mu[1], q1[4]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[3]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[2]) add128(c, mul) + f = lo128(c); q3[0] |= (f << 16) & 0xffffffffffffff; q3[1] = (f >> 40) & 0xffff; shr128(f, c, 56); + mul64x64_128(c, modm_mu[4], q1[2]) add128_64(c, f) mul64x64_128(mul, modm_mu[2], q1[4]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[3]) add128(c, mul) + f = lo128(c); q3[1] |= (f << 16) & 0xffffffffffffff; q3[2] = (f >> 40) & 0xffff; shr128(f, c, 56); + mul64x64_128(c, modm_mu[4], q1[3]) add128_64(c, f) mul64x64_128(mul, modm_mu[3], q1[4]) add128(c, mul) + f = lo128(c); q3[2] |= (f << 16) & 0xffffffffffffff; q3[3] = (f >> 40) & 0xffff; shr128(f, c, 56); + mul64x64_128(c, modm_mu[4], q1[4]) add128_64(c, f) + f = lo128(c); q3[3] |= (f << 16) & 0xffffffffffffff; q3[4] = (f >> 40) & 0xffff; shr128(f, c, 56); + q3[4] |= (f << 16); + + mul64x64_128(c, modm_m[0], q3[0]) + r2[0] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, modm_m[0], q3[1]) add128_64(c, f) mul64x64_128(mul, modm_m[1], q3[0]) add128(c, mul) + r2[1] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, modm_m[0], q3[2]) add128_64(c, f) mul64x64_128(mul, modm_m[2], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[1]) add128(c, mul) + r2[2] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, modm_m[0], q3[3]) add128_64(c, f) mul64x64_128(mul, modm_m[3], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[2]) add128(c, mul) mul64x64_128(mul, modm_m[2], q3[1]) add128(c, mul) + r2[3] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, modm_m[0], q3[4]) add128_64(c, f) mul64x64_128(mul, modm_m[4], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[3], q3[1]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[3]) add128(c, mul) mul64x64_128(mul, modm_m[2], q3[2]) add128(c, mul) + r2[4] = lo128(c) & 0x0000ffffffffff; + + pb = 0; + pb += r2[0]; b = lt_modm(r1[0], pb); r[0] = (r1[0] - pb + (b << 56)); pb = b; + pb += r2[1]; b = lt_modm(r1[1], pb); r[1] = (r1[1] - pb + (b << 56)); pb = b; + pb += r2[2]; b = lt_modm(r1[2], pb); r[2] = (r1[2] - pb + (b << 56)); pb = b; + pb += r2[3]; b = lt_modm(r1[3], pb); r[3] = (r1[3] - pb + (b << 56)); pb = b; + pb += r2[4]; b = lt_modm(r1[4], pb); r[4] = (r1[4] - pb + (b << 40)); + + reduce256_modm(r); + reduce256_modm(r); +} + + +void +add256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) { + bignum256modm_element_t c; + + c = x[0] + y[0]; r[0] = c & 0xffffffffffffff; c >>= 56; + c += x[1] + y[1]; r[1] = c & 0xffffffffffffff; c >>= 56; + c += x[2] + y[2]; r[2] = c & 0xffffffffffffff; c >>= 56; + c += x[3] + y[3]; r[3] = c & 0xffffffffffffff; c >>= 56; + c += x[4] + y[4]; r[4] = c; + + reduce256_modm(r); +} + +void +mul256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) { + bignum256modm q1, r1; + word128 c, mul; + bignum256modm_element_t f; + + mul64x64_128(c, x[0], y[0]) + f = lo128(c); r1[0] = f & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, x[0], y[1]) add128_64(c, f) mul64x64_128(mul, x[1], y[0]) add128(c, mul) + f = lo128(c); r1[1] = f & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, x[0], y[2]) add128_64(c, f) mul64x64_128(mul, x[2], y[0]) add128(c, mul) mul64x64_128(mul, x[1], y[1]) add128(c, mul) + f = lo128(c); r1[2] = f & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, x[0], y[3]) add128_64(c, f) mul64x64_128(mul, x[3], y[0]) add128(c, mul) mul64x64_128(mul, x[1], y[2]) add128(c, mul) mul64x64_128(mul, x[2], y[1]) add128(c, mul) + f = lo128(c); r1[3] = f & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, x[0], y[4]) add128_64(c, f) mul64x64_128(mul, x[4], y[0]) add128(c, mul) mul64x64_128(mul, x[3], y[1]) add128(c, mul) mul64x64_128(mul, x[1], y[3]) add128(c, mul) mul64x64_128(mul, x[2], y[2]) add128(c, mul) + f = lo128(c); r1[4] = f & 0x0000ffffffffff; q1[0] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + mul64x64_128(c, x[4], y[1]) add128_64(c, f) mul64x64_128(mul, x[1], y[4]) add128(c, mul) mul64x64_128(mul, x[2], y[3]) add128(c, mul) mul64x64_128(mul, x[3], y[2]) add128(c, mul) + f = lo128(c); q1[0] |= (f << 32) & 0xffffffffffffff; q1[1] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + mul64x64_128(c, x[4], y[2]) add128_64(c, f) mul64x64_128(mul, x[2], y[4]) add128(c, mul) mul64x64_128(mul, x[3], y[3]) add128(c, mul) + f = lo128(c); q1[1] |= (f << 32) & 0xffffffffffffff; q1[2] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + mul64x64_128(c, x[4], y[3]) add128_64(c, f) mul64x64_128(mul, x[3], y[4]) add128(c, mul) + f = lo128(c); q1[2] |= (f << 32) & 0xffffffffffffff; q1[3] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + mul64x64_128(c, x[4], y[4]) add128_64(c, f) + f = lo128(c); q1[3] |= (f << 32) & 0xffffffffffffff; q1[4] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + q1[4] |= (f << 32); + + barrett_reduce256_modm(r, q1, r1); +} + +void +expand256_modm(bignum256modm out, const byte *in, size_t len) { + byte work[64] = {0}; + bignum256modm_element_t x[16]; + bignum256modm q1; + + memcpy(work, in, len); + x[0] = U8TO64_LE(work + 0); + x[1] = U8TO64_LE(work + 8); + x[2] = U8TO64_LE(work + 16); + x[3] = U8TO64_LE(work + 24); + x[4] = U8TO64_LE(work + 32); + x[5] = U8TO64_LE(work + 40); + x[6] = U8TO64_LE(work + 48); + x[7] = U8TO64_LE(work + 56); + + /* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1) */ + out[0] = ( x[0]) & 0xffffffffffffff; + out[1] = ((x[ 0] >> 56) | (x[ 1] << 8)) & 0xffffffffffffff; + out[2] = ((x[ 1] >> 48) | (x[ 2] << 16)) & 0xffffffffffffff; + out[3] = ((x[ 2] >> 40) | (x[ 3] << 24)) & 0xffffffffffffff; + out[4] = ((x[ 3] >> 32) | (x[ 4] << 32)) & 0x0000ffffffffff; + + /* under 252 bits, no need to reduce */ + if (len < 32) + return; + + /* q1 = x >> 248 = 264 bits */ + q1[0] = ((x[ 3] >> 56) | (x[ 4] << 8)) & 0xffffffffffffff; + q1[1] = ((x[ 4] >> 48) | (x[ 5] << 16)) & 0xffffffffffffff; + q1[2] = ((x[ 5] >> 40) | (x[ 6] << 24)) & 0xffffffffffffff; + q1[3] = ((x[ 6] >> 32) | (x[ 7] << 32)) & 0xffffffffffffff; + q1[4] = ((x[ 7] >> 24) ); + + barrett_reduce256_modm(out, q1, out); +} + +void +expand_raw256_modm(bignum256modm out, const byte in[32]) { + bignum256modm_element_t x[4]; + + x[0] = U8TO64_LE(in + 0); + x[1] = U8TO64_LE(in + 8); + x[2] = U8TO64_LE(in + 16); + x[3] = U8TO64_LE(in + 24); + + out[0] = ( x[0]) & 0xffffffffffffff; + out[1] = ((x[ 0] >> 56) | (x[ 1] << 8)) & 0xffffffffffffff; + out[2] = ((x[ 1] >> 48) | (x[ 2] << 16)) & 0xffffffffffffff; + out[3] = ((x[ 2] >> 40) | (x[ 3] << 24)) & 0xffffffffffffff; + out[4] = ((x[ 3] >> 32) ) & 0x000000ffffffff; +} + +void +contract256_modm(byte out[32], const bignum256modm in) { + U64TO8_LE(out + 0, (in[0] ) | (in[1] << 56)); + U64TO8_LE(out + 8, (in[1] >> 8) | (in[2] << 48)); + U64TO8_LE(out + 16, (in[2] >> 16) | (in[3] << 40)); + U64TO8_LE(out + 24, (in[3] >> 24) | (in[4] << 32)); +} + +void +contract256_window4_modm(signed char r[64], const bignum256modm in) { + char carry; + signed char *quads = r; + bignum256modm_element_t i, j, v, m; + + for (i = 0; i < 5; i++) { + v = in[i]; + m = (i == 4) ? 8 : 14; + for (j = 0; j < m; j++) { + *quads++ = (v & 15); + v >>= 4; + } + } + + /* making it signed */ + carry = 0; + for(i = 0; i < 63; i++) { + r[i] += carry; + r[i+1] += (r[i] >> 4); + r[i] &= 15; + carry = (r[i] >> 3); + r[i] -= (carry << 4); + } + r[63] += carry; +} + +void +contract256_slidingwindow_modm(signed char r[256], const bignum256modm s, int windowsize) { + int i,j,k,b; + int m = (1 << (windowsize - 1)) - 1, soplen = 256; + signed char *bits = r; + bignum256modm_element_t v; + + /* first put the binary expansion into r */ + for (i = 0; i < 4; i++) { + v = s[i]; + for (j = 0; j < 56; j++, v >>= 1) + *bits++ = (v & 1); + } + v = s[4]; + for (j = 0; j < 32; j++, v >>= 1) + *bits++ = (v & 1); + + /* Making it sliding window */ + for (j = 0; j < soplen; j++) { + if (!r[j]) + continue; + + for (b = 1; (b < (soplen - j)) && (b <= 6); b++) { + if ((r[j] + (r[j + b] << b)) <= m) { + r[j] += r[j + b] << b; + r[j + b] = 0; + } else if ((r[j] - (r[j + b] << b)) >= -m) { + r[j] -= r[j + b] << b; + for (k = j + b; k < soplen; k++) { + if (!r[k]) { + r[k] = 1; + break; + } + r[k] = 0; + } + } else if (r[j + b]) { + break; + } + } + } +} + +/* + * In: b = 2^5 - 2^0 + * Out: b = 2^250 - 2^0 + */ +void +curve25519_pow_two5mtwo0_two250mtwo0(bignum25519 b) { + ALIGN(16) bignum25519 t0,c; + + /* 2^5 - 2^0 */ /* b */ + /* 2^10 - 2^5 */ curve25519_square_times(t0, b, 5); + /* 2^10 - 2^0 */ curve25519_mul_noinline(b, t0, b); + /* 2^20 - 2^10 */ curve25519_square_times(t0, b, 10); + /* 2^20 - 2^0 */ curve25519_mul_noinline(c, t0, b); + /* 2^40 - 2^20 */ curve25519_square_times(t0, c, 20); + /* 2^40 - 2^0 */ curve25519_mul_noinline(t0, t0, c); + /* 2^50 - 2^10 */ curve25519_square_times(t0, t0, 10); + /* 2^50 - 2^0 */ curve25519_mul_noinline(b, t0, b); + /* 2^100 - 2^50 */ curve25519_square_times(t0, b, 50); + /* 2^100 - 2^0 */ curve25519_mul_noinline(c, t0, b); + /* 2^200 - 2^100 */ curve25519_square_times(t0, c, 100); + /* 2^200 - 2^0 */ curve25519_mul_noinline(t0, t0, c); + /* 2^250 - 2^50 */ curve25519_square_times(t0, t0, 50); + /* 2^250 - 2^0 */ curve25519_mul_noinline(b, t0, b); +} + +/* + * z^(p - 2) = z(2^255 - 21) + */ +void +curve25519_recip(bignum25519 out, const bignum25519 z) { + ALIGN(16) bignum25519 a,t0,b; + + /* 2 */ curve25519_square_times(a, z, 1); /* a = 2 */ + /* 8 */ curve25519_square_times(t0, a, 2); + /* 9 */ curve25519_mul_noinline(b, t0, z); /* b = 9 */ + /* 11 */ curve25519_mul_noinline(a, b, a); /* a = 11 */ + /* 22 */ curve25519_square_times(t0, a, 1); + /* 2^5 - 2^0 = 31 */ curve25519_mul_noinline(b, t0, b); + /* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b); + /* 2^255 - 2^5 */ curve25519_square_times(b, b, 5); + /* 2^255 - 21 */ curve25519_mul_noinline(out, b, a); +} + +/* + * z^((p-5)/8) = z^(2^252 - 3) + */ +void +curve25519_pow_two252m3(bignum25519 two252m3, const bignum25519 z) { + ALIGN(16) bignum25519 b,c,t0; + + /* 2 */ curve25519_square_times(c, z, 1); /* c = 2 */ + /* 8 */ curve25519_square_times(t0, c, 2); /* t0 = 8 */ + /* 9 */ curve25519_mul_noinline(b, t0, z); /* b = 9 */ + /* 11 */ curve25519_mul_noinline(c, b, c); /* c = 11 */ + /* 22 */ curve25519_square_times(t0, c, 1); + /* 2^5 - 2^0 = 31 */ curve25519_mul_noinline(b, t0, b); + /* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b); + /* 2^252 - 2^2 */ curve25519_square_times(b, b, 2); + /* 2^252 - 3 */ curve25519_mul_noinline(two252m3, b, z); +} + +inline void +ge25519_p1p1_to_partial(ge25519 *r, const ge25519_p1p1 *p) { + curve25519_mul(r->x, p->x, p->t); + curve25519_mul(r->y, p->y, p->z); + curve25519_mul(r->z, p->z, p->t); +} + +inline void +ge25519_p1p1_to_full(ge25519 *r, const ge25519_p1p1 *p) { + curve25519_mul(r->x, p->x, p->t); + curve25519_mul(r->y, p->y, p->z); + curve25519_mul(r->z, p->z, p->t); + curve25519_mul(r->t, p->x, p->y); +} + +void +ge25519_full_to_pniels(ge25519_pniels *p, const ge25519 *r) { + curve25519_sub(p->ysubx, r->y, r->x); + curve25519_add(p->xaddy, r->y, r->x); + curve25519_copy(p->z, r->z); + curve25519_mul(p->t2d, r->t, ge25519_ec2d); +} + +void +ge25519_add_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519 *q) { + bignum25519 a,b,c,d,t,u; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_sub(t, q->y, q->x); + curve25519_add(u, q->y, q->x); + curve25519_mul(a, a, t); + curve25519_mul(b, b, u); + curve25519_mul(c, p->t, q->t); + curve25519_mul(c, c, ge25519_ec2d); + curve25519_mul(d, p->z, q->z); + curve25519_add(d, d, d); + curve25519_sub(r->x, b, a); + curve25519_add(r->y, b, a); + curve25519_add_after_basic(r->z, d, c); + curve25519_sub_after_basic(r->t, d, c); +} + +void +ge25519_double_p1p1(ge25519_p1p1 *r, const ge25519 *p) { + bignum25519 a,b,c; + + curve25519_square(a, p->x); + curve25519_square(b, p->y); + curve25519_square(c, p->z); + curve25519_add_reduce(c, c, c); + curve25519_add(r->x, p->x, p->y); + curve25519_square(r->x, r->x); + curve25519_add(r->y, b, a); + curve25519_sub(r->z, b, a); + curve25519_sub_after_basic(r->x, r->x, r->y); + curve25519_sub_after_basic(r->t, c, r->z); +} + +void +ge25519_nielsadd2_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_niels *q, byte signbit) { + const bignum25519 *qb = (const bignum25519 *)q; + bignum25519 *rb = (bignum25519 *)r; + bignum25519 a,b,c; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_mul(a, a, qb[signbit]); /* x for +, y for - */ + curve25519_mul(r->x, b, qb[signbit^1]); /* y for +, x for - */ + curve25519_add(r->y, r->x, a); + curve25519_sub(r->x, r->x, a); + curve25519_mul(c, p->t, q->t2d); + curve25519_add_reduce(r->t, p->z, p->z); + curve25519_copy(r->z, r->t); + curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */ + curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */ +} + +void +ge25519_pnielsadd_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_pniels *q, byte signbit) { + const bignum25519 *qb = (const bignum25519 *)q; + bignum25519 *rb = (bignum25519 *)r; + bignum25519 a,b,c; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_mul(a, a, qb[signbit]); /* ysubx for +, xaddy for - */ + curve25519_mul(r->x, b, qb[signbit^1]); /* xaddy for +, ysubx for - */ + curve25519_add(r->y, r->x, a); + curve25519_sub(r->x, r->x, a); + curve25519_mul(c, p->t, q->t2d); + curve25519_mul(r->t, p->z, q->z); + curve25519_add_reduce(r->t, r->t, r->t); + curve25519_copy(r->z, r->t); + curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */ + curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */ +} + +void +ge25519_double_partial(ge25519 *r, const ge25519 *p) { + ge25519_p1p1 t; + ge25519_double_p1p1(&t, p); + ge25519_p1p1_to_partial(r, &t); +} + +void +ge25519_double(ge25519 *r, const ge25519 *p) { + ge25519_p1p1 t; + ge25519_double_p1p1(&t, p); + ge25519_p1p1_to_full(r, &t); +} + +void +ge25519_add(ge25519 *r, const ge25519 *p, const ge25519 *q) { + ge25519_p1p1 t; + ge25519_add_p1p1(&t, p, q); + ge25519_p1p1_to_full(r, &t); +} + +void +ge25519_nielsadd2(ge25519 *r, const ge25519_niels *q) { + bignum25519 a,b,c,e,f,g,h; + + curve25519_sub(a, r->y, r->x); + curve25519_add(b, r->y, r->x); + curve25519_mul(a, a, q->ysubx); + curve25519_mul(e, b, q->xaddy); + curve25519_add(h, e, a); + curve25519_sub(e, e, a); + curve25519_mul(c, r->t, q->t2d); + curve25519_add(f, r->z, r->z); + curve25519_add_after_basic(g, f, c); + curve25519_sub_after_basic(f, f, c); + curve25519_mul(r->x, e, f); + curve25519_mul(r->y, h, g); + curve25519_mul(r->z, g, f); + curve25519_mul(r->t, e, h); +} + +void +ge25519_pnielsadd(ge25519_pniels *r, const ge25519 *p, const ge25519_pniels *q) { + bignum25519 a,b,c,x,y,z,t; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_mul(a, a, q->ysubx); + curve25519_mul(x, b, q->xaddy); + curve25519_add(y, x, a); + curve25519_sub(x, x, a); + curve25519_mul(c, p->t, q->t2d); + curve25519_mul(t, p->z, q->z); + curve25519_add(t, t, t); + curve25519_add_after_basic(z, t, c); + curve25519_sub_after_basic(t, t, c); + curve25519_mul(r->xaddy, x, t); + curve25519_mul(r->ysubx, y, z); + curve25519_mul(r->z, z, t); + curve25519_mul(r->t2d, x, y); + curve25519_copy(y, r->ysubx); + curve25519_sub(r->ysubx, r->ysubx, r->xaddy); + curve25519_add(r->xaddy, r->xaddy, y); + curve25519_mul(r->t2d, r->t2d, ge25519_ec2d); +} + +void +ge25519_pack(byte r[32], const ge25519 *p) { + bignum25519 tx, ty, zi; + byte parity[32]; + curve25519_recip(zi, p->z); + curve25519_mul(tx, p->x, zi); + curve25519_mul(ty, p->y, zi); + curve25519_contract(r, ty); + curve25519_contract(parity, tx); + r[31] ^= ((parity[0] & 1) << 7); +} + +int +ed25519_verify(const unsigned char *x, const unsigned char *y, size_t len) { + size_t differentbits = 0; + while (len--) + differentbits |= (*x++ ^ *y++); + return (int) (1 & ((differentbits - 1) >> 8)); +} + +int +ge25519_unpack_negative_vartime(ge25519 *r, const byte p[32]) { + const byte zero[32] = {0}; + const bignum25519 one = {1}; + byte parity = p[31] >> 7; + byte check[32]; + bignum25519 t, root, num, den, d3; + + curve25519_expand(r->y, p); + curve25519_copy(r->z, one); + curve25519_square(num, r->y); /* x = y^2 */ + curve25519_mul(den, num, ge25519_ecd); /* den = dy^2 */ + curve25519_sub_reduce(num, num, r->z); /* x = y^1 - 1 */ + curve25519_add(den, den, r->z); /* den = dy^2 + 1 */ + + /* Computation of sqrt(num/den) */ + /* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */ + curve25519_square(t, den); + curve25519_mul(d3, t, den); + curve25519_square(r->x, d3); + curve25519_mul(r->x, r->x, den); + curve25519_mul(r->x, r->x, num); + curve25519_pow_two252m3(r->x, r->x); + + /* 2. computation of r->x = num * den^3 * (num*den^7)^((p-5)/8) */ + curve25519_mul(r->x, r->x, d3); + curve25519_mul(r->x, r->x, num); + + /* 3. Check if either of the roots works: */ + curve25519_square(t, r->x); + curve25519_mul(t, t, den); + curve25519_sub_reduce(root, t, num); + curve25519_contract(check, root); + if (!ed25519_verify(check, zero, 32)) { + curve25519_add_reduce(t, t, num); + curve25519_contract(check, t); + if (!ed25519_verify(check, zero, 32)) + return 0; + curve25519_mul(r->x, r->x, ge25519_sqrtneg1); + } + + curve25519_contract(check, r->x); + if ((check[0] & 1) == parity) { + curve25519_copy(t, r->x); + curve25519_neg(r->x, t); + } + curve25519_mul(r->t, r->x, r->y); + return 1; +} + +/* computes [s1]p1 + [s2]basepoint */ +void +ge25519_double_scalarmult_vartime(ge25519 *r, const ge25519 *p1, const bignum256modm s1, const bignum256modm s2) { + signed char slide1[256], slide2[256]; + ge25519_pniels pre1[S1_TABLE_SIZE]; + ge25519 d1; + ge25519_p1p1 t; + sword32 i; + + contract256_slidingwindow_modm(slide1, s1, S1_SWINDOWSIZE); + contract256_slidingwindow_modm(slide2, s2, S2_SWINDOWSIZE); + + ge25519_double(&d1, p1); + ge25519_full_to_pniels(pre1, p1); + for (i = 0; i < S1_TABLE_SIZE - 1; i++) + ge25519_pnielsadd(&pre1[i+1], &d1, &pre1[i]); + + /* set neutral */ + memset(r, 0, sizeof(ge25519)); + r->y[0] = 1; + r->z[0] = 1; + + i = 255; + while ((i >= 0) && !(slide1[i] | slide2[i])) + i--; + + for (; i >= 0; i--) { + ge25519_double_p1p1(&t, r); + + if (slide1[i]) { + ge25519_p1p1_to_full(r, &t); + ge25519_pnielsadd_p1p1(&t, r, &pre1[abs(slide1[i]) / 2], (byte)slide1[i] >> 7); + } + + if (slide2[i]) { + ge25519_p1p1_to_full(r, &t); + ge25519_nielsadd2_p1p1(&t, r, &ge25519_niels_sliding_multiples[abs(slide2[i]) / 2], (byte)slide2[i] >> 7); + } + + ge25519_p1p1_to_partial(r, &t); + } +} + +#if !defined(HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS) + +word32 +ge25519_windowb_equal(word32 b, word32 c) { + return ((b ^ c) - 1) >> 31; +} + +void +ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], word32 pos, signed char b) { + bignum25519 neg; + word32 sign = (word32)((byte)b >> 7); + word32 mask = ~(sign - 1); + word32 u = (b + mask) ^ mask; + word32 i; + + /* ysubx, xaddy, t2d in packed form. initialize to ysubx = 1, xaddy = 1, t2d = 0 */ + uint8_t packed[96] = {0}; + packed[0] = 1; + packed[32] = 1; + + for (i = 0; i < 8; i++) + curve25519_move_conditional_bytes(packed, table[(pos * 8) + i], ge25519_windowb_equal(u, i + 1)); + + /* expand in to t */ + curve25519_expand(t->ysubx, packed + 0); + curve25519_expand(t->xaddy, packed + 32); + curve25519_expand(t->t2d , packed + 64); + + /* adjust for sign */ + curve25519_swap_conditional(t->ysubx, t->xaddy, sign); + curve25519_neg(neg, t->t2d); + curve25519_swap_conditional(t->t2d, neg, sign); +} + +#endif /* HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS */ + +/* computes [s]basepoint */ +void +ge25519_scalarmult_base_niels(ge25519 *r, const uint8_t basepoint_table[256][96], const bignum256modm s) { + signed char b[64]; + word32 i; + ge25519_niels t; + + contract256_window4_modm(b, s); + + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[1]); + curve25519_sub_reduce(r->x, t.xaddy, t.ysubx); + curve25519_add_reduce(r->y, t.xaddy, t.ysubx); + memset(r->z, 0, sizeof(bignum25519)); + curve25519_copy(r->t, t.t2d); + r->z[0] = 2; + for (i = 3; i < 64; i += 2) { + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]); + ge25519_nielsadd2(r, &t); + } + ge25519_double_partial(r, r); + ge25519_double_partial(r, r); + ge25519_double_partial(r, r); + ge25519_double(r, r); + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[0]); + curve25519_mul(t.t2d, t.t2d, ge25519_ecd); + ge25519_nielsadd2(r, &t); + for(i = 2; i < 64; i += 2) { + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]); + ge25519_nielsadd2(r, &t); + } +} + +ANONYMOUS_NAMESPACE_END +NAMESPACE_END // Ed25519 +NAMESPACE_END // Donna +NAMESPACE_END // CryptoPP + +//***************************** curve25519 *****************************// NAMESPACE_BEGIN(CryptoPP) NAMESPACE_BEGIN(Donna) -int curve25519_CXX(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]) +int curve25519_mult_CXX(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]) { + using namespace CryptoPP::Donna::X25519; + FixedSizeSecBlock e; for (size_t i = 0;i < 32;++i) e[i] = secretKey[i]; @@ -474,26 +1513,139 @@ int curve25519_CXX(byte sharedKey[32], const byte secretKey[32], const byte othe return 0; } -int curve25519(byte publicKey[32], const byte secretKey[32]) +int curve25519_mult(byte publicKey[32], const byte secretKey[32]) { + using namespace CryptoPP::Donna::X25519; + #if (CRYPTOPP_CURVE25519_SSE2) if (HasSSE2()) - return curve25519_SSE2(publicKey, secretKey, basePoint); + return curve25519_mult_SSE2(publicKey, secretKey, basePoint); else #endif - return curve25519_CXX(publicKey, secretKey, basePoint); + return curve25519_mult_CXX(publicKey, secretKey, basePoint); } -int curve25519(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]) +int curve25519_mult(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]) { #if (CRYPTOPP_CURVE25519_SSE2) if (HasSSE2()) - return curve25519_SSE2(sharedKey, secretKey, othersKey); + return curve25519_mult_SSE2(sharedKey, secretKey, othersKey); else #endif - return curve25519_CXX(sharedKey, secretKey, othersKey); + return curve25519_mult_CXX(sharedKey, secretKey, othersKey); +} + +NAMESPACE_END // Donna +NAMESPACE_END // CryptoPP + +//******************************* ed25519 *******************************// + +NAMESPACE_BEGIN(CryptoPP) +NAMESPACE_BEGIN(Donna) + +int +ed25519_publickey_CXX(byte publicKey[32], const byte secretKey[32]) +{ + using namespace CryptoPP::Donna::Ed25519; + + bignum256modm a; + ALIGN(16) ge25519 A; + hash_512bits extsk; + + /* A = aB */ + ed25519_extsk(extsk, secretKey); + expand256_modm(a, extsk, 32); + ge25519_scalarmult_base_niels(&A, ge25519_niels_base_multiples, a); + ge25519_pack(publicKey, &A); + + return 0; +} + +int +ed25519_publickey(byte publicKey[32], const byte secretKey[32]) +{ + return ed25519_publickey_CXX(publicKey, secretKey); +} + +int +ed25519_sign_CXX(const byte *m, size_t mlen, const byte sk[32], const byte pk[32], byte RS[64]) +{ + using namespace CryptoPP::Donna::Ed25519; + + bignum256modm r, S, a; + ALIGN(16) ge25519 R; + hash_512bits extsk, hashr, hram; + + ed25519_extsk(extsk, sk); + + /* r = H(aExt[32..64], m) */ + SHA512 hash; + hash.Update(extsk + 32, 32); + hash.Update(m, mlen); + hash.Final(hashr); + expand256_modm(r, hashr, 64); + + /* R = rB */ + ge25519_scalarmult_base_niels(&R, ge25519_niels_base_multiples, r); + ge25519_pack(RS, &R); + + /* S = H(R,A,m).. */ + ed25519_hram(hram, RS, pk, m, mlen); + expand256_modm(S, hram, 64); + + /* S = H(R,A,m)a */ + expand256_modm(a, extsk, 32); + mul256_modm(S, S, a); + + /* S = (r + H(R,A,m)a) */ + add256_modm(S, S, r); + + /* S = (r + H(R,A,m)a) mod L */ + contract256_modm(RS + 32, S); + return 0; +} + +int +ed25519_sign(const byte* message, size_t messageLength, const byte secretKey[32], + const byte publicKey[32], byte signature[64]) +{ + return ed25519_sign_CXX(message, messageLength, secretKey, publicKey, signature); +} + +int +ed25519_sign_open_CXX(const byte *m, size_t mlen, const byte pk[32], const byte RS[64]) { + + using namespace CryptoPP::Donna::Ed25519; + + ALIGN(16) ge25519 R, A; + hash_512bits hash; + bignum256modm hram, S; + unsigned char checkR[32]; + + if ((RS[63] & 224) || !ge25519_unpack_negative_vartime(&A, pk)) + return -1; + + /* hram = H(R,A,m) */ + ed25519_hram(hash, RS, pk, m, mlen); + expand256_modm(hram, hash, 64); + + /* S */ + expand256_modm(S, RS + 32, 32); + + /* SB - H(R,A,m)A */ + ge25519_double_scalarmult_vartime(&R, &A, hram, S); + ge25519_pack(checkR, &R); + + /* check that R = SB - H(R,A,m)A */ + return ed25519_verify(RS, checkR, 32) ? 0 : -1; +} + +int +ed25519_sign_open(const byte *message, size_t messageLength, const byte publicKey[32], const byte signature[64]) +{ + return ed25519_sign_open_CXX(message, messageLength, publicKey, signature); } NAMESPACE_END // Donna diff --git a/donna_64.h b/donna_64.h new file mode 100644 index 00000000..573cc7d9 --- /dev/null +++ b/donna_64.h @@ -0,0 +1,455 @@ +// donna_64.h - written and placed in public domain by Jeffrey Walton +// Crypto++ specific implementation wrapped around Andrew +// Moon's public domain curve25519-donna and ed25519-donna, +// https://github.com/floodyberry/curve25519-donna and +// https://github.com/floodyberry/ed25519-donna. + +// This source file multiplexes two different repos using namespaces. This +// was a little easier from a project management standpoint. We only need +// two files per architecture at the expense of namespaces and bloat. + +#ifndef CRYPTOPP_DONNA_64_H +#define CRYPTOPP_DONNA_64_H + +#include "config.h" + +#if defined(_MSC_VER) +# include +# pragma intrinsic(_umul128) +# pragma intrinsic(__shiftright128) +#endif + +NAMESPACE_BEGIN(CryptoPP) +NAMESPACE_BEGIN(Donna) +NAMESPACE_BEGIN(Arch64) + +using CryptoPP::byte; +using CryptoPP::word32; +using CryptoPP::word64; + +// ******************** x25519 Agreement ************************* // + +#define ALIGN(n) CRYPTOPP_ALIGN_DATA(n) +typedef word64 bignum25519[5]; + +const byte basePoint[32] = {9}; +const word64 reduce_mask_40 = ((word64)1 << 40) - 1; +const word64 reduce_mask_51 = ((word64)1 << 51) - 1; +const word64 reduce_mask_52 = ((word64)1 << 52) - 1; +const word64 reduce_mask_56 = ((word64)1 << 56) - 1; + +const word64 two54m152 = (((word64)1) << 54) - 152; +const word64 two54m8 = (((word64)1) << 54) - 8; + +#if defined(CRYPTOPP_WORD128_AVAILABLE) +using CryptoPP::word128; +# define lo128(a) ((word64)a) +# define hi128(a) ((word64)(a >> 64)) +# define add128(a,b) a += b; +# define add128_64(a,b) a += (word64)b; +# define mul64x64_128(out,a,b) out = (word128)a * b; +# define shr128(out,in,shift) out = (word64)(in >> (shift)); +# define shl128(out,in,shift) out = (word64)((in << shift) >> 64); + +#elif defined(_MSC_VER) +struct word128 { word64 lo, hi; }; +# define mul64x64_128(out,a,b) out.lo = _umul128(a,b,&out.hi); +# define shr128_pair(out,hi,lo,shift) out = __shiftright128(lo, hi, shift); +# define shl128_pair(out,hi,lo,shift) out = __shiftleft128(lo, hi, shift); +# define shr128(out,in,shift) shr128_pair(out, in.hi, in.lo, shift) +# define shl128(out,in,shift) shl128_pair(out, in.hi, in.lo, shift) +# define add128(a,b) { word64 p = a.lo; a.lo += b.lo; a.hi += b.hi + (a.lo < p); } +# define add128_64(a,b) { word64 p = a.lo; a.lo += b; a.hi += (a.lo < p); } +# define lo128(a) (a.lo) +# define hi128(a) (a.hi) + +#elif defined(__GNUC__) +struct word128 { word64 lo, hi; }; +# define mul64x64_128(out,a,b) __asm__ ("mulq %3" : "=a" (out.lo), "=d" (out.hi) : "a" (a), "rm" (b)); +# define shr128_pair(out,hi,lo,shift) __asm__ ("shrdq %2,%1,%0" : "+r" (lo) : "r" (hi), "J" (shift)); out = lo; +# define shl128_pair(out,hi,lo,shift) __asm__ ("shldq %2,%1,%0" : "+r" (hi) : "r" (lo), "J" (shift)); out = hi; +# define shr128(out,in,shift) shr128_pair(out,in.hi, in.lo, shift) +# define shl128(out,in,shift) shl128_pair(out,in.hi, in.lo, shift) +# define add128(a,b) __asm__ ("addq %4,%2; adcq %5,%3" : "=r" (a.hi), "=r" (a.lo) : "1" (a.lo), "0" (a.hi), "rm" (b.lo), "rm" (b.hi) : "cc"); +# define add128_64(a,b) __asm__ ("addq %4,%2; adcq $0,%3" : "=r" (a.hi), "=r" (a.lo) : "1" (a.lo), "0" (a.hi), "rm" (b) : "cc"); +# define lo128(a) (a.lo) +# define hi128(a) (a.hi) + +#else +// https://groups.google.com/forum/#!forum/cryptopp-users +# error "Unsupported platform" +#endif + +// ****************** ed25519 Signatures *********************** // + +typedef byte hash_512bits[64]; + +const int bignum256modm_bits_per_limb = 56; +const int bignum256modm_limb_size = 5; +typedef word64 bignum256modm_element_t; +typedef bignum256modm_element_t bignum256modm[5]; + +/* multiples of p */ +const word64 twoP0 = 0x0fffffffffffda; +const word64 twoP1234 = 0x0ffffffffffffe; +const word64 fourP0 = 0x1fffffffffffb4; +const word64 fourP1234 = 0x1ffffffffffffc; + +struct ge25519 { + bignum25519 x, y, z, t; +}; + +struct ge25519_p1p1 { + bignum25519 x, y, z, t; +}; + +struct ge25519_niels { + bignum25519 ysubx, xaddy, t2d; +}; + +struct ge25519_pniels { + bignum25519 ysubx, xaddy, z, t2d; +}; + +#define S1_SWINDOWSIZE 5 +#define S1_TABLE_SIZE (1<<(S1_SWINDOWSIZE-2)) +#define S2_SWINDOWSIZE 7 +#define S2_TABLE_SIZE (1<<(S2_SWINDOWSIZE-2)) + +// *************** ed25519-donna-64bit-tables.h *************** // + +const ge25519 ge25519_basepoint = { + {0x00062d608f25d51a,0x000412a4b4f6592a,0x00075b7171a4b31d,0x0001ff60527118fe,0x000216936d3cd6e5}, + {0x0006666666666658,0x0004cccccccccccc,0x0001999999999999,0x0003333333333333,0x0006666666666666}, + {0x0000000000000001,0x0000000000000000,0x0000000000000000,0x0000000000000000,0x0000000000000000}, + {0x00068ab3a5b7dda3,0x00000eea2a5eadbb,0x0002af8df483c27e,0x000332b375274732,0x00067875f0fd78b7} +}; + +const bignum25519 ge25519_ecd = { + 0x00034dca135978a3,0x0001a8283b156ebd,0x0005e7a26001c029,0x000739c663a03cbb,0x00052036cee2b6ff +}; + +const bignum25519 ge25519_ec2d = { + 0x00069b9426b2f159,0x00035050762add7a,0x0003cf44c0038052,0x0006738cc7407977,0x0002406d9dc56dff +}; + +const bignum25519 ge25519_sqrtneg1 = { + 0x00061b274a0ea0b0,0x0000d5a5fc8f189d,0x0007ef5e9cbd0c60,0x00078595a6804c9e,0x0002b8324804fc1d +}; + +const ge25519_niels ge25519_niels_sliding_multiples[32] = { + {{0x00003905d740913e,0x0000ba2817d673a2,0x00023e2827f4e67c,0x000133d2e0c21a34,0x00044fd2f9298f81},{0x000493c6f58c3b85,0x0000df7181c325f7,0x0000f50b0b3e4cb7,0x0005329385a44c32,0x00007cf9d3a33d4b},{0x00011205877aaa68,0x000479955893d579,0x00050d66309b67a0,0x0002d42d0dbee5ee,0x0006f117b689f0c6}}, + {{0x00011fe8a4fcd265,0x0007bcb8374faacc,0x00052f5af4ef4d4f,0x0005314098f98d10,0x0002ab91587555bd},{0x0005b0a84cee9730,0x00061d10c97155e4,0x0004059cc8096a10,0x00047a608da8014f,0x0007a164e1b9a80f},{0x0006933f0dd0d889,0x00044386bb4c4295,0x0003cb6d3162508c,0x00026368b872a2c6,0x0005a2826af12b9b}}, + {{0x000182c3a447d6ba,0x00022964e536eff2,0x000192821f540053,0x0002f9f19e788e5c,0x000154a7e73eb1b5},{0x0002bc4408a5bb33,0x000078ebdda05442,0x0002ffb112354123,0x000375ee8df5862d,0x0002945ccf146e20},{0x0003dbf1812a8285,0x0000fa17ba3f9797,0x0006f69cb49c3820,0x00034d5a0db3858d,0x00043aabe696b3bb}}, + {{0x00072c9aaa3221b1,0x000267774474f74d,0x000064b0e9b28085,0x0003f04ef53b27c9,0x0001d6edd5d2e531},{0x00025cd0944ea3bf,0x00075673b81a4d63,0x000150b925d1c0d4,0x00013f38d9294114,0x000461bea69283c9},{0x00036dc801b8b3a2,0x0000e0a7d4935e30,0x0001deb7cecc0d7d,0x000053a94e20dd2c,0x0007a9fbb1c6a0f9}}, + {{0x0006217e039d8064,0x0006dea408337e6d,0x00057ac112628206,0x000647cb65e30473,0x00049c05a51fadc9},{0x0006678aa6a8632f,0x0005ea3788d8b365,0x00021bd6d6994279,0x0007ace75919e4e3,0x00034b9ed338add7},{0x0004e8bf9045af1b,0x000514e33a45e0d6,0x0007533c5b8bfe0f,0x000583557b7e14c9,0x00073c172021b008}}, + {{0x00075b0249864348,0x00052ee11070262b,0x000237ae54fb5acd,0x0003bfd1d03aaab5,0x00018ab598029d5c},{0x000700848a802ade,0x0001e04605c4e5f7,0x0005c0d01b9767fb,0x0007d7889f42388b,0x0004275aae2546d8},{0x00032cc5fd6089e9,0x000426505c949b05,0x00046a18880c7ad2,0x0004a4221888ccda,0x0003dc65522b53df}}, + {{0x0007013b327fbf93,0x0001336eeded6a0d,0x0002b565a2bbf3af,0x000253ce89591955,0x0000267882d17602},{0x0000c222a2007f6d,0x000356b79bdb77ee,0x00041ee81efe12ce,0x000120a9bd07097d,0x000234fd7eec346f},{0x0000a119732ea378,0x00063bf1ba8e2a6c,0x00069f94cc90df9a,0x000431d1779bfc48,0x000497ba6fdaa097}}, + {{0x0003cd86468ccf0b,0x00048553221ac081,0x0006c9464b4e0a6e,0x00075fba84180403,0x00043b5cd4218d05},{0x0006cc0313cfeaa0,0x0001a313848da499,0x0007cb534219230a,0x00039596dedefd60,0x00061e22917f12de},{0x0002762f9bd0b516,0x0001c6e7fbddcbb3,0x00075909c3ace2bd,0x00042101972d3ec9,0x000511d61210ae4d}}, + {{0x000386484420de87,0x0002d6b25db68102,0x000650b4962873c0,0x0004081cfd271394,0x00071a7fe6fe2482},{0x000676ef950e9d81,0x0001b81ae089f258,0x00063c4922951883,0x0002f1d54d9b3237,0x0006d325924ddb85},{0x000182b8a5c8c854,0x00073fcbe5406d8e,0x0005de3430cff451,0x000554b967ac8c41,0x0004746c4b6559ee}}, + {{0x000546c864741147,0x0003a1df99092690,0x0001ca8cc9f4d6bb,0x00036b7fc9cd3b03,0x000219663497db5e},{0x00077b3c6dc69a2b,0x0004edf13ec2fa6e,0x0004e85ad77beac8,0x0007dba2b28e7bda,0x0005c9a51de34fe9},{0x0000f1cf79f10e67,0x00043ccb0a2b7ea2,0x00005089dfff776a,0x0001dd84e1d38b88,0x0004804503c60822}}, + {{0x000021d23a36d175,0x0004fd3373c6476d,0x00020e291eeed02a,0x00062f2ecf2e7210,0x000771e098858de4},{0x00049ed02ca37fc7,0x000474c2b5957884,0x0005b8388e816683,0x0004b6c454b76be4,0x000553398a516506},{0x0002f5d278451edf,0x000730b133997342,0x0006965420eb6975,0x000308a3bfa516cf,0x0005a5ed1d68ff5a}}, + {{0x0005e0c558527359,0x0003395b73afd75c,0x000072afa4e4b970,0x00062214329e0f6d,0x000019b60135fefd},{0x0005122afe150e83,0x0004afc966bb0232,0x0001c478833c8268,0x00017839c3fc148f,0x00044acb897d8bf9},{0x000068145e134b83,0x0001e4860982c3cc,0x000068fb5f13d799,0x0007c9283744547e,0x000150c49fde6ad2}}, + {{0x0001863c9cdca868,0x0003770e295a1709,0x0000d85a3720fd13,0x0005e0ff1f71ab06,0x00078a6d7791e05f},{0x0003f29509471138,0x000729eeb4ca31cf,0x00069c22b575bfbc,0x0004910857bce212,0x0006b2b5a075bb99},{0x0007704b47a0b976,0x0002ae82e91aab17,0x00050bd6429806cd,0x00068055158fd8ea,0x000725c7ffc4ad55}}, + {{0x00002bf71cd098c0,0x00049dabcc6cd230,0x00040a6533f905b2,0x000573efac2eb8a4,0x0004cd54625f855f},{0x00026715d1cf99b2,0x0002205441a69c88,0x000448427dcd4b54,0x0001d191e88abdc5,0x000794cc9277cb1f},{0x0006c426c2ac5053,0x0005a65ece4b095e,0x0000c44086f26bb6,0x0007429568197885,0x0007008357b6fcc8}}, + {{0x00039fbb82584a34,0x00047a568f257a03,0x00014d88091ead91,0x0002145b18b1ce24,0x00013a92a3669d6d},{0x0000672738773f01,0x000752bf799f6171,0x0006b4a6dae33323,0x0007b54696ead1dc,0x00006ef7e9851ad0},{0x0003771cc0577de5,0x0003ca06bb8b9952,0x00000b81c5d50390,0x00043512340780ec,0x0003c296ddf8a2af}}, + {{0x00034d2ebb1f2541,0x0000e815b723ff9d,0x000286b416e25443,0x0000bdfe38d1bee8,0x0000a892c7007477},{0x000515f9d914a713,0x00073191ff2255d5,0x00054f5cc2a4bdef,0x0003dd57fc118bcf,0x0007a99d393490c7},{0x0002ed2436bda3e8,0x00002afd00f291ea,0x0000be7381dea321,0x0003e952d4b2b193,0x000286762d28302f}}, + {{0x00058e2bce2ef5bd,0x00068ce8f78c6f8a,0x0006ee26e39261b2,0x00033d0aa50bcf9d,0x0007686f2a3d6f17},{0x000036093ce35b25,0x0003b64d7552e9cf,0x00071ee0fe0b8460,0x00069d0660c969e5,0x00032f1da046a9d9},{0x000512a66d597c6a,0x0000609a70a57551,0x000026c08a3c464c,0x0004531fc8ee39e1,0x000561305f8a9ad2}}, + {{0x0002cc28e7b0c0d5,0x00077b60eb8a6ce4,0x0004042985c277a6,0x000636657b46d3eb,0x000030a1aef2c57c},{0x0004978dec92aed1,0x000069adae7ca201,0x00011ee923290f55,0x00069641898d916c,0x00000aaec53e35d4},{0x0001f773003ad2aa,0x000005642cc10f76,0x00003b48f82cfca6,0x0002403c10ee4329,0x00020be9c1c24065}}, + {{0x0000e44ae2025e60,0x0005f97b9727041c,0x0005683472c0ecec,0x000188882eb1ce7c,0x00069764c545067e},{0x000387d8249673a6,0x0005bea8dc927c2a,0x0005bd8ed5650ef0,0x0000ef0e3fcd40e1,0x000750ab3361f0ac},{0x00023283a2f81037,0x000477aff97e23d1,0x0000b8958dbcbb68,0x0000205b97e8add6,0x00054f96b3fb7075}}, + {{0x0005afc616b11ecd,0x00039f4aec8f22ef,0x0003b39e1625d92e,0x0005f85bd4508873,0x00078e6839fbe85d},{0x0005f20429669279,0x00008fafae4941f5,0x00015d83c4eb7688,0x0001cf379eca4146,0x0003d7fe9c52bb75},{0x00032df737b8856b,0x0000608342f14e06,0x0003967889d74175,0x0001211907fba550,0x00070f268f350088}}, + {{0x0004112070dcf355,0x0007dcff9c22e464,0x00054ada60e03325,0x00025cd98eef769a,0x000404e56c039b8c},{0x00064583b1805f47,0x00022c1baf832cd0,0x000132c01bd4d717,0x0004ecf4c3a75b8f,0x0007c0d345cfad88},{0x00071f4b8c78338a,0x00062cfc16bc2b23,0x00017cf51280d9aa,0x0003bbae5e20a95a,0x00020d754762aaec}}, + {{0x0004feb135b9f543,0x00063bd192ad93ae,0x00044e2ea612cdf7,0x000670f4991583ab,0x00038b8ada8790b4},{0x0007c36fc73bb758,0x0004a6c797734bd1,0x0000ef248ab3950e,0x00063154c9a53ec8,0x0002b8f1e46f3cee},{0x00004a9cdf51f95d,0x0005d963fbd596b8,0x00022d9b68ace54a,0x0004a98e8836c599,0x000049aeb32ceba1}}, + {{0x00067d3c63dcfe7e,0x000112f0adc81aee,0x00053df04c827165,0x0002fe5b33b430f0,0x00051c665e0c8d62},{0x00007d0b75fc7931,0x00016f4ce4ba754a,0x0005ace4c03fbe49,0x00027e0ec12a159c,0x000795ee17530f67},{0x00025b0a52ecbd81,0x0005dc0695fce4a9,0x0003b928c575047d,0x00023bf3512686e5,0x0006cd19bf49dc54}}, + {{0x0007619052179ca3,0x0000c16593f0afd0,0x000265c4795c7428,0x00031c40515d5442,0x0007520f3db40b2e},{0x0006612165afc386,0x0001171aa36203ff,0x0002642ea820a8aa,0x0001f3bb7b313f10,0x0005e01b3a7429e4},{0x00050be3d39357a1,0x0003ab33d294a7b6,0x0004c479ba59edb3,0x0004c30d184d326f,0x00071092c9ccef3c}}, + {{0x0000523f0364918c,0x000687f56d638a7b,0x00020796928ad013,0x0005d38405a54f33,0x0000ea15b03d0257},{0x0003d8ac74051dcf,0x00010ab6f543d0ad,0x0005d0f3ac0fda90,0x0005ef1d2573e5e4,0x0004173a5bb7137a},{0x00056e31f0f9218a,0x0005635f88e102f8,0x0002cbc5d969a5b8,0x000533fbc98b347a,0x0005fc565614a4e3}}, + {{0x0006570dc46d7ae5,0x00018a9f1b91e26d,0x000436b6183f42ab,0x000550acaa4f8198,0x00062711c414c454},{0x0002e1e67790988e,0x0001e38b9ae44912,0x000648fbb4075654,0x00028df1d840cd72,0x0003214c7409d466},{0x0001827406651770,0x0004d144f286c265,0x00017488f0ee9281,0x00019e6cdb5c760c,0x0005bea94073ecb8}}, + {{0x0005bf0912c89be4,0x00062fadcaf38c83,0x00025ec196b3ce2c,0x00077655ff4f017b,0x0003aacd5c148f61},{0x0000ce63f343d2f8,0x0001e0a87d1e368e,0x000045edbc019eea,0x0006979aed28d0d1,0x0004ad0785944f1b},{0x00063b34c3318301,0x0000e0e62d04d0b1,0x000676a233726701,0x00029e9a042d9769,0x0003aff0cb1d9028}}, + {{0x0005c7eb3a20405e,0x0005fdb5aad930f8,0x0004a757e63b8c47,0x00028e9492972456,0x000110e7e86f4cd2},{0x0006430bf4c53505,0x000264c3e4507244,0x00074c9f19a39270,0x00073f84f799bc47,0x0002ccf9f732bd99},{0x0000d89ed603f5e4,0x00051e1604018af8,0x0000b8eedc4a2218,0x00051ba98b9384d0,0x00005c557e0b9693}}, + {{0x0001ce311fc97e6f,0x0006023f3fb5db1f,0x0007b49775e8fc98,0x0003ad70adbf5045,0x0006e154c178fe98},{0x0006bbb089c20eb0,0x0006df41fb0b9eee,0x00051087ed87e16f,0x000102db5c9fa731,0x000289fef0841861},{0x00016336fed69abf,0x0004f066b929f9ec,0x0004e9ff9e6c5b93,0x00018c89bc4bb2ba,0x0006afbf642a95ca}}, + {{0x0000de0c62f5d2c1,0x00049601cf734fb5,0x0006b5c38263f0f6,0x0004623ef5b56d06,0x0000db4b851b9503},{0x00055070f913a8cc,0x000765619eac2bbc,0x0003ab5225f47459,0x00076ced14ab5b48,0x00012c093cedb801},{0x00047f9308b8190f,0x000414235c621f82,0x00031f5ff41a5a76,0x0006736773aab96d,0x00033aa8799c6635}}, + {{0x0007f51ebd085cf2,0x00012cfa67e3f5e1,0x0001800cf1e3d46a,0x00054337615ff0a8,0x000233c6f29e8e21},{0x0000f588fc156cb1,0x000363414da4f069,0x0007296ad9b68aea,0x0004d3711316ae43,0x000212cd0c1c8d58},{0x0004d5107f18c781,0x00064a4fd3a51a5e,0x0004f4cd0448bb37,0x000671d38543151e,0x0001db7778911914}}, + {{0x000352397c6bc26f,0x00018a7aa0227bbe,0x0005e68cc1ea5f8b,0x0006fe3e3a7a1d5f,0x00031ad97ad26e2a},{0x00014769dd701ab6,0x00028339f1b4b667,0x0004ab214b8ae37b,0x00025f0aefa0b0fe,0x0007ae2ca8a017d2},{0x000017ed0920b962,0x000187e33b53b6fd,0x00055829907a1463,0x000641f248e0a792,0x0001ed1fc53a6622}} +}; + +// ****************** modm-donna-64bit.h *********************** // + +const bignum256modm modm_m = { + 0x12631a5cf5d3ed, 0xf9dea2f79cd658, + 0x000000000014de, 0x00000000000000, + 0x00000010000000 +}; + +const bignum256modm modm_mu = { + 0x9ce5a30a2c131b, 0x215d086329a7ed, + 0xffffffffeb2106, 0xffffffffffffff, + 0x00000fffffffff +}; + +// *************** ed25519-donna-basepoint-table.h *************** // + +/* multiples of the base point in packed {ysubx, xaddy, t2d} form */ +ALIGN(16) const byte ge25519_niels_base_multiples[256][96] = { + {0x3e,0x91,0x40,0xd7,0x05,0x39,0x10,0x9d,0xb3,0xbe,0x40,0xd1,0x05,0x9f,0x39,0xfd,0x09,0x8a,0x8f,0x68,0x34,0x84,0xc1,0xa5,0x67,0x12,0xf8,0x98,0x92,0x2f,0xfd,0x44,0x85,0x3b,0x8c,0xf5,0xc6,0x93,0xbc,0x2f,0x19,0x0e,0x8c,0xfb,0xc6,0x2d,0x93,0xcf,0xc2,0x42,0x3d,0x64,0x98,0x48,0x0b,0x27,0x65,0xba,0xd4,0x33,0x3a,0x9d,0xcf,0x07,0x59,0xbb,0x6f,0x4b,0x67,0x15,0xbd,0xdb,0xea,0xa5,0xa2,0xee,0x00,0x3f,0xe1,0x41,0xfa,0xc6,0x57,0xc9,0x1c,0x9d,0xd4,0xcd,0xca,0xec,0x16,0xaf,0x1f,0xbe,0x0e,0x4f}, + {0xa8,0xd5,0xb4,0x42,0x60,0xa5,0x99,0x8a,0xf6,0xac,0x60,0x4e,0x0c,0x81,0x2b,0x8f,0xaa,0x37,0x6e,0xb1,0x6b,0x23,0x9e,0xe0,0x55,0x25,0xc9,0x69,0xa6,0x95,0xb5,0x6b,0xd7,0x71,0x3c,0x93,0xfc,0xe7,0x24,0x92,0xb5,0xf5,0x0f,0x7a,0x96,0x9d,0x46,0x9f,0x02,0x07,0xd6,0xe1,0x65,0x9a,0xa6,0x5a,0x2e,0x2e,0x7d,0xa8,0x3f,0x06,0x0c,0x59,0x02,0x68,0xd3,0xda,0xaa,0x7e,0x34,0x6e,0x05,0x48,0xee,0x83,0x93,0x59,0xf3,0xba,0x26,0x68,0x07,0xe6,0x10,0xbe,0xca,0x3b,0xb8,0xd1,0x5e,0x16,0x0a,0x4f,0x31,0x49}, + {0x65,0xd2,0xfc,0xa4,0xe8,0x1f,0x61,0x56,0x7d,0xba,0xc1,0xe5,0xfd,0x53,0xd3,0x3b,0xbd,0xd6,0x4b,0x21,0x1a,0xf3,0x31,0x81,0x62,0xda,0x5b,0x55,0x87,0x15,0xb9,0x2a,0x30,0x97,0xee,0x4c,0xa8,0xb0,0x25,0xaf,0x8a,0x4b,0x86,0xe8,0x30,0x84,0x5a,0x02,0x32,0x67,0x01,0x9f,0x02,0x50,0x1b,0xc1,0xf4,0xf8,0x80,0x9a,0x1b,0x4e,0x16,0x7a,0x34,0x48,0x67,0xf1,0xf4,0x11,0xf2,0x9b,0x95,0xf8,0x2d,0xf6,0x17,0x6b,0x4e,0xb8,0x4e,0x2a,0x72,0x5b,0x07,0x6f,0xde,0xd7,0x21,0x2a,0xbb,0x63,0xb9,0x04,0x9a,0x54}, + {0xbf,0x18,0x68,0x05,0x0a,0x05,0xfe,0x95,0xa9,0xfa,0x60,0x56,0x71,0x89,0x7e,0x32,0x73,0x50,0xa0,0x06,0xcd,0xe3,0xe8,0xc3,0x9a,0xa4,0x45,0x74,0x4c,0x3f,0x93,0x27,0x9f,0x09,0xfc,0x8e,0xb9,0x51,0x73,0x28,0x38,0x25,0xfd,0x7d,0xf4,0xc6,0x65,0x67,0x65,0x92,0x0a,0xfb,0x3d,0x8d,0x34,0xca,0x27,0x87,0xe5,0x21,0x03,0x91,0x0e,0x68,0xb0,0x26,0x14,0xe5,0xec,0x45,0x1e,0xbf,0x94,0x0f,0xba,0x6d,0x3d,0xc6,0x2b,0xe3,0xc0,0x52,0xf8,0x8c,0xd5,0x74,0x29,0xe4,0x18,0x4c,0xe6,0xb0,0xb1,0x79,0xf0,0x44}, + {0xba,0xd6,0x47,0xa4,0xc3,0x82,0x91,0x7f,0xb7,0x29,0x27,0x4b,0xd1,0x14,0x00,0xd5,0x87,0xa0,0x64,0xb8,0x1c,0xf1,0x3c,0xe3,0xf3,0x55,0x1b,0xeb,0x73,0x7e,0x4a,0x15,0x33,0xbb,0xa5,0x08,0x44,0xbc,0x12,0xa2,0x02,0xed,0x5e,0xc7,0xc3,0x48,0x50,0x8d,0x44,0xec,0xbf,0x5a,0x0c,0xeb,0x1b,0xdd,0xeb,0x06,0xe2,0x46,0xf1,0xcc,0x45,0x29,0xb3,0x03,0xd0,0xe7,0x79,0xa1,0x32,0xc8,0x7e,0x4d,0x12,0x00,0x0a,0x9d,0x72,0x5f,0xf3,0x8f,0x6d,0x0e,0xa1,0xd4,0xc1,0x62,0x98,0x7a,0xb2,0x38,0x59,0xac,0xb8,0x68}, + {0xa4,0x8c,0x7d,0x7b,0xb6,0x06,0x98,0x49,0x39,0x27,0xd2,0x27,0x84,0xe2,0x5b,0x57,0xb9,0x53,0x45,0x20,0xe7,0x5c,0x08,0xbb,0x84,0x78,0x41,0xae,0x41,0x4c,0xb6,0x38,0x31,0x71,0x15,0x77,0xeb,0xee,0x0c,0x3a,0x88,0xaf,0xc8,0x00,0x89,0x15,0x27,0x9b,0x36,0xa7,0x59,0xda,0x68,0xb6,0x65,0x80,0xbd,0x38,0xcc,0xa2,0xb6,0x7b,0xe5,0x51,0xa4,0xe3,0x9d,0x68,0x91,0xad,0x9d,0x8f,0x37,0x91,0xfb,0xf8,0x28,0x24,0x5f,0x17,0x88,0xb9,0xcf,0x9f,0x32,0xb5,0x0a,0x05,0x9f,0xc0,0x54,0x13,0xa2,0xdf,0x65,0x78}, + {0xb1,0x21,0x32,0xaa,0x9a,0x2c,0x6f,0xba,0xa7,0x23,0xba,0x3b,0x53,0x21,0xa0,0x6c,0x3a,0x2c,0x19,0x92,0x4f,0x76,0xea,0x9d,0xe0,0x17,0x53,0x2e,0x5d,0xdd,0x6e,0x1d,0xbf,0xa3,0x4e,0x94,0xd0,0x5c,0x1a,0x6b,0xd2,0xc0,0x9d,0xb3,0x3a,0x35,0x70,0x74,0x49,0x2e,0x54,0x28,0x82,0x52,0xb2,0x71,0x7e,0x92,0x3c,0x28,0x69,0xea,0x1b,0x46,0x36,0xda,0x0f,0xab,0xac,0x8a,0x7a,0x21,0xc8,0x49,0x35,0x3d,0x54,0xc6,0x28,0xa5,0x68,0x75,0xab,0x13,0x8b,0x5b,0xd0,0x37,0x37,0xbc,0x2c,0x3a,0x62,0xef,0x3c,0x23}, + {0xd9,0x34,0x92,0xf3,0xed,0x5d,0xa7,0xe2,0xf9,0x58,0xb5,0xe1,0x80,0x76,0x3d,0x96,0xfb,0x23,0x3c,0x6e,0xac,0x41,0x27,0x2c,0xc3,0x01,0x0e,0x32,0xa1,0x24,0x90,0x3a,0x8f,0x3e,0xdd,0x04,0x66,0x59,0xb7,0x59,0x2c,0x70,0x88,0xe2,0x77,0x03,0xb3,0x6c,0x23,0xc3,0xd9,0x5e,0x66,0x9c,0x33,0xb1,0x2f,0xe5,0xbc,0x61,0x60,0xe7,0x15,0x09,0x7e,0xa3,0x34,0xa8,0x35,0xe8,0x7d,0xdf,0xea,0x57,0x98,0x68,0xda,0x9c,0xe1,0x8b,0x26,0xb3,0x67,0x71,0x36,0x85,0x11,0x2c,0xc2,0xd5,0xef,0xdb,0xd9,0xb3,0x9e,0x58}, + {0x5e,0x51,0xaa,0x49,0x54,0x63,0x5b,0xed,0x3a,0x82,0xc6,0x0b,0x9f,0xc4,0x65,0xa8,0xc4,0xd1,0x42,0x5b,0xe9,0x1f,0x0c,0x85,0xb9,0x15,0xd3,0x03,0x6f,0x6d,0xd7,0x30,0x1d,0x9c,0x2f,0x63,0x0e,0xdd,0xcc,0x2e,0x15,0x31,0x89,0x76,0x96,0xb6,0xd0,0x51,0x58,0x7a,0x63,0xa8,0x6b,0xb7,0xdf,0x52,0x39,0xef,0x0e,0xa0,0x49,0x7d,0xd3,0x6d,0xc7,0xe4,0x06,0x21,0x17,0x44,0x44,0x6c,0x69,0x7f,0x8d,0x92,0x80,0xd6,0x53,0xfb,0x26,0x3f,0x4d,0x69,0xa4,0x9e,0x73,0xb4,0xb0,0x4b,0x86,0x2e,0x11,0x97,0xc6,0x10}, + {0xde,0x5f,0xbe,0x7d,0x27,0xc4,0x93,0x64,0xa2,0x7e,0xad,0x19,0xad,0x4f,0x5d,0x26,0x90,0x45,0x30,0x46,0xc8,0xdf,0x00,0x0e,0x09,0xfe,0x66,0xed,0xab,0x1c,0xe6,0x25,0x05,0xc8,0x58,0x83,0xa0,0x2a,0xa6,0x0c,0x47,0x42,0x20,0x7a,0xe3,0x4a,0x3d,0x6a,0xdc,0xed,0x11,0x3b,0xa6,0xd3,0x64,0x74,0xef,0x06,0x08,0x55,0xaf,0x9b,0xbf,0x03,0x04,0x66,0x58,0xcc,0x28,0xe1,0x13,0x3f,0x7e,0x74,0x59,0xb4,0xec,0x73,0x58,0x6f,0xf5,0x68,0x12,0xcc,0xed,0x3d,0xb6,0xa0,0x2c,0xe2,0x86,0x45,0x63,0x78,0x6d,0x56}, + {0x34,0x08,0xc1,0x9c,0x9f,0xa4,0x37,0x16,0x51,0xc4,0x9b,0xa8,0xd5,0x56,0x8e,0xbc,0xdb,0xd2,0x7f,0x7f,0x0f,0xec,0xb5,0x1c,0xd9,0x35,0xcc,0x5e,0xca,0x5b,0x97,0x33,0xd0,0x2f,0x5a,0xc6,0x85,0x42,0x05,0xa1,0xc3,0x67,0x16,0xf3,0x2a,0x11,0x64,0x6c,0x58,0xee,0x1a,0x73,0x40,0xe2,0x0a,0x68,0x2a,0xb2,0x93,0x47,0xf3,0xa5,0xfb,0x14,0xd4,0xf7,0x85,0x69,0x16,0x46,0xd7,0x3c,0x57,0x00,0xc8,0xc9,0x84,0x5e,0x3e,0x59,0x1e,0x13,0x61,0x7b,0xb6,0xf2,0xc3,0x2f,0x6c,0x52,0xfc,0x83,0xea,0x9c,0x82,0x14}, + {0xc2,0x95,0xdd,0x97,0x84,0x7b,0x43,0xff,0xa7,0xb5,0x4e,0xaa,0x30,0x4e,0x74,0x6c,0x8b,0xe8,0x85,0x3c,0x61,0x5d,0x0c,0x9e,0x73,0x81,0x75,0x5f,0x1e,0xc7,0xd9,0x2f,0xb8,0xec,0x71,0x4e,0x2f,0x0b,0xe7,0x21,0xe3,0x77,0xa4,0x40,0xb9,0xdd,0x56,0xe6,0x80,0x4f,0x1d,0xce,0xce,0x56,0x65,0xbf,0x7e,0x7b,0x5d,0x53,0xc4,0x3b,0xfc,0x05,0xdd,0xde,0xaf,0x52,0xae,0xb3,0xb8,0x24,0xcf,0x30,0x3b,0xed,0x8c,0x63,0x95,0x34,0x95,0x81,0xbe,0xa9,0x83,0xbc,0xa4,0x33,0x04,0x1f,0x65,0x5c,0x47,0x67,0x37,0x37}, + {0xd9,0xad,0xd1,0x40,0xfd,0x99,0xba,0x2f,0x27,0xd0,0xf4,0x96,0x6f,0x16,0x07,0xb3,0xae,0x3b,0xf0,0x15,0x52,0xf0,0x63,0x43,0x99,0xf9,0x18,0x3b,0x6c,0xa5,0xbe,0x1f,0x90,0x65,0x24,0x14,0xcb,0x95,0x40,0x63,0x35,0x55,0xc1,0x16,0x40,0x14,0x12,0xef,0x60,0xbc,0x10,0x89,0x0c,0x14,0x38,0x9e,0x8c,0x7c,0x90,0x30,0x57,0x90,0xf5,0x6b,0x8a,0x5b,0x41,0xe1,0xf1,0x78,0xa7,0x0f,0x7e,0xa7,0xc3,0xba,0xf7,0x9f,0x40,0x06,0x50,0x9a,0xa2,0x9a,0xb8,0xd7,0x52,0x6f,0x56,0x5a,0x63,0x7a,0xf6,0x1c,0x52,0x02}, + 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{0x0f,0x3a,0xd4,0xa0,0x5e,0x27,0xbf,0x67,0xbe,0xee,0x9b,0x08,0x34,0x8e,0xe6,0xad,0x2e,0xe7,0x79,0xd4,0x4c,0x13,0x89,0x42,0x54,0x54,0xba,0x32,0xc3,0xf9,0x62,0x0f,0xe1,0x21,0xb3,0xe3,0xd0,0xe4,0x04,0x62,0x95,0x1e,0xff,0x28,0x7a,0x63,0xaa,0x3b,0x9e,0xbd,0x99,0x5b,0xfd,0xcf,0x0c,0x0b,0x71,0xd0,0xc8,0x64,0x3e,0xdc,0x22,0x4d,0x39,0x5f,0x3b,0xd6,0x89,0x65,0xb4,0xfc,0x61,0xcf,0xcb,0x57,0x3f,0x6a,0xae,0x5c,0x05,0xfa,0x3a,0x95,0xd2,0xc2,0xba,0xfe,0x36,0x14,0x37,0x36,0x1a,0xa0,0x0f,0x1c}, + {0xff,0x3d,0x94,0x22,0xb6,0x04,0xc6,0xd2,0xa0,0xb3,0xcf,0x44,0xce,0xbe,0x8c,0xbc,0x78,0x86,0x80,0x97,0xf3,0x4f,0x25,0x5d,0xbf,0xa6,0x1c,0x3b,0x4f,0x61,0xa3,0x0f,0x50,0x6a,0x93,0x8c,0x0e,0x2b,0x08,0x69,0xb6,0xc5,0xda,0xc1,0x35,0xa0,0xc9,0xf9,0x34,0xb6,0xdf,0xc4,0x54,0x3e,0xb7,0x6f,0x40,0xc1,0x2b,0x1d,0x9b,0x41,0x05,0x40,0xf0,0x82,0xbe,0xb9,0xbd,0xfe,0x03,0xa0,0x90,0xac,0x44,0x3a,0xaf,0xc1,0x89,0x20,0x8e,0xfa,0x54,0x19,0x91,0x9f,0x49,0xf8,0x42,0xab,0x40,0xef,0x8a,0x21,0xba,0x1f}, + {0x3e,0xf5,0xc8,0xfa,0x48,0x94,0x54,0xab,0x41,0x37,0xa6,0x7b,0x9a,0xe8,0xf6,0x81,0x01,0x5e,0x2b,0x6c,0x7d,0x6c,0xfd,0x74,0x42,0x6e,0xc8,0xa8,0xca,0x3a,0x2e,0x39,0x94,0x01,0x7b,0x3e,0x04,0x57,0x3e,0x4f,0x7f,0xaf,0xda,0x08,0xee,0x3e,0x1d,0xa8,0xf1,0xde,0xdc,0x99,0xab,0xc6,0x39,0xc8,0xd5,0x61,0x77,0xff,0x13,0x5d,0x53,0x6c,0xaf,0x35,0x8a,0x3e,0xe9,0x34,0xbd,0x4c,0x16,0xe8,0x87,0x58,0x44,0x81,0x07,0x2e,0xab,0xb0,0x9a,0xf2,0x76,0x9c,0x31,0x19,0x3b,0xc1,0x0a,0xd5,0xe4,0x7f,0xe1,0x25}, + {0x76,0xf6,0x04,0x1e,0xd7,0x9b,0x28,0x0a,0x95,0x0f,0x42,0xd6,0x52,0x1c,0x8e,0x20,0xab,0x1f,0x69,0x34,0xb0,0xd8,0x86,0x51,0x51,0xb3,0x9f,0x2a,0x44,0x51,0x57,0x25,0xa7,0x21,0xf1,0x76,0xf5,0x7f,0x5f,0x91,0xe3,0x87,0xcd,0x2f,0x27,0x32,0x4a,0xc3,0x26,0xe5,0x1b,0x4d,0xde,0x2f,0xba,0xcc,0x9b,0x89,0x69,0x89,0x8f,0x82,0xba,0x6b,0x01,0x39,0xfe,0x90,0x66,0xbc,0xd1,0xe2,0xd5,0x7a,0x99,0xa0,0x18,0x4a,0xb5,0x4c,0xd4,0x60,0x84,0xaf,0x14,0x69,0x1d,0x97,0xe4,0x7b,0x6b,0x7f,0x4f,0x50,0x9d,0x55}, + {0xd5,0x54,0xeb,0xb3,0x78,0x83,0x73,0xa7,0x7c,0x3c,0x55,0xa5,0x66,0xd3,0x69,0x1d,0xba,0x00,0x28,0xf9,0x62,0xcf,0x26,0x0a,0x17,0x32,0x7e,0x80,0xd5,0x12,0xab,0x01,0xfd,0x66,0xd2,0xf6,0xe7,0x91,0x48,0x9c,0x1b,0x78,0x07,0x03,0x9b,0xa1,0x44,0x07,0x3b,0xe2,0x61,0x60,0x1d,0x8f,0x38,0x88,0x0e,0xd5,0x4b,0x35,0xa3,0xa6,0x3e,0x12,0x96,0x2d,0xe3,0x41,0x90,0x18,0x8d,0x11,0x48,0x58,0x31,0xd8,0xc2,0xe3,0xed,0xb9,0xd9,0x45,0x32,0xd8,0x71,0x42,0xab,0x1e,0x54,0xa1,0x18,0xc9,0xe2,0x61,0x39,0x4a}, + {0xa0,0xbb,0xe6,0xf8,0xe0,0x3b,0xdc,0x71,0x0a,0xe3,0xff,0x7e,0x34,0xf8,0xce,0xd6,0x6a,0x47,0x3a,0xe1,0x5f,0x42,0x92,0xa9,0x63,0xb7,0x1d,0xfb,0xe3,0xbc,0xd6,0x2c,0x1e,0x3f,0x23,0xf3,0x44,0xd6,0x27,0x03,0x16,0xf0,0xfc,0x34,0x0e,0x26,0x9a,0x49,0x79,0xb9,0xda,0xf2,0x16,0xa7,0xb5,0x83,0x1f,0x11,0xd4,0x9b,0xad,0xee,0xac,0x68,0x10,0xc2,0xd7,0xf3,0x0e,0xc9,0xb4,0x38,0x0c,0x04,0xad,0xb7,0x24,0x6e,0x8e,0x30,0x23,0x3e,0xe7,0xb7,0xf1,0xd9,0x60,0x38,0x97,0xf5,0x08,0xb5,0xd5,0x60,0x57,0x59}, + {0x97,0x63,0xaa,0x04,0xe1,0xbf,0x29,0x61,0xcb,0xfc,0xa7,0xa4,0x08,0x00,0x96,0x8f,0x58,0x94,0x90,0x7d,0x89,0xc0,0x8b,0x3f,0xa9,0x91,0xb2,0xdc,0x3e,0xa4,0x9f,0x70,0x90,0x27,0x02,0xfd,0xeb,0xcb,0x2a,0x88,0x60,0x57,0x11,0xc4,0x05,0x33,0xaf,0x89,0xf4,0x73,0x34,0x7d,0xe3,0x92,0xf4,0x65,0x2b,0x5a,0x51,0x54,0xdf,0xc5,0xb2,0x2c,0xca,0x2a,0xfd,0x63,0x8c,0x5d,0x0a,0xeb,0xff,0x4e,0x69,0x2e,0x66,0xc1,0x2b,0xd2,0x3a,0xb0,0xcb,0xf8,0x6e,0xf3,0x23,0x27,0x1f,0x13,0xc8,0xf0,0xec,0x29,0xf0,0x70}, + {0x33,0x3e,0xed,0x2e,0xb3,0x07,0x13,0x46,0xe7,0x81,0x55,0xa4,0x33,0x2f,0x04,0xae,0x66,0x03,0x5f,0x19,0xd3,0x49,0x44,0xc9,0x58,0x48,0x31,0x6c,0x8a,0x5d,0x7d,0x0b,0xb9,0xb0,0x10,0x5e,0xaa,0xaf,0x6a,0x2a,0xa9,0x1a,0x04,0xef,0x70,0xa3,0xf0,0x78,0x1f,0xd6,0x3a,0xaa,0x77,0xfb,0x3e,0x77,0xe1,0xd9,0x4b,0xa7,0xa2,0xa5,0xec,0x44,0x43,0xd5,0x95,0x7b,0x32,0x48,0xd4,0x25,0x1d,0x0f,0x34,0xa3,0x00,0x83,0xd3,0x70,0x2b,0xc5,0xe1,0x60,0x1c,0x53,0x1c,0xde,0xe4,0xe9,0x7d,0x2c,0x51,0x24,0x22,0x27}, + {0x2e,0x34,0xc5,0x49,0xaf,0x92,0xbc,0x1a,0xd0,0xfa,0xe6,0xb2,0x11,0xd8,0xee,0xff,0x29,0x4e,0xc8,0xfc,0x8d,0x8c,0xa2,0xef,0x43,0xc5,0x4c,0xa4,0x18,0xdf,0xb5,0x11,0xfc,0x75,0xa9,0x42,0x8a,0xbb,0x7b,0xbf,0x58,0xa3,0xad,0x96,0x77,0x39,0x5c,0x8c,0x48,0xaa,0xed,0xcd,0x6f,0xc7,0x7f,0xe2,0xa6,0x20,0xbc,0xf6,0xd7,0x5f,0x73,0x19,0x66,0x42,0xc8,0x42,0xd0,0x90,0xab,0xe3,0x7e,0x54,0x19,0x7f,0x0f,0x8e,0x84,0xeb,0xb9,0x97,0xa4,0x65,0xd0,0xa1,0x03,0x25,0x5f,0x89,0xdf,0x91,0x11,0x91,0xef,0x0f} +}; + +NAMESPACE_END // Arch64 +NAMESPACE_END // Donna +NAMESPACE_END // CryptoPP + +#endif // CRYPTOPP_DONNA_64_H diff --git a/donna_sse.cpp b/donna_sse.cpp index 46dfd393..99607b6d 100644 --- a/donna_sse.cpp +++ b/donna_sse.cpp @@ -20,10 +20,6 @@ #include "secblock.h" #include "misc.h" -#if (CRYPTOPP_CURVE25519_SSE2) -# include -#endif - // The data is aligned, but Clang issues warning based on type // and not the actual alignment of the variable and data. #if CRYPTOPP_GCC_DIAGNOSTIC_AVAILABLE @@ -35,8 +31,7 @@ extern const char DONNA_SSE_FNAME[] = __FILE__; #if (CRYPTOPP_CURVE25519_SSE2) -typedef __m128i xmmi; -#define ALIGN(n) CRYPTOPP_ALIGN_DATA(n) +#include "donna_sse.h" ANONYMOUS_NAMESPACE_BEGIN @@ -45,62 +40,11 @@ using CryptoPP::word32; using CryptoPP::sword32; using CryptoPP::word64; using CryptoPP::sword64; - using CryptoPP::GetBlock; using CryptoPP::LittleEndian; -typedef union packedelem8_t { - byte u[16]; - xmmi v; -} packedelem8; - -typedef union packedelem32_t { - word32 u[4]; - xmmi v; -} packedelem32; - -typedef union packedelem64_t { - word64 u[2]; - xmmi v; -} packedelem64; - -/* 10 elements + an extra 2 to fit in 3 xmm registers */ -typedef word32 bignum25519[12]; -typedef packedelem32 packed32bignum25519[5]; -typedef packedelem64 packed64bignum25519[10]; - -const word32 reduce_mask_26 = (1 << 26) - 1; -const word32 reduce_mask_25 = (1 << 25) - 1; - -const packedelem32 sse2_bot32bitmask = {{0xffffffff, 0x00000000, 0xffffffff, 0x00000000}}; -const packedelem32 sse2_top32bitmask = {{0x00000000, 0xffffffff, 0x00000000, 0xffffffff}}; -const packedelem32 sse2_top64bitmask = {{0x00000000, 0x00000000, 0xffffffff, 0xffffffff}}; -const packedelem32 sse2_bot64bitmask = {{0xffffffff, 0xffffffff, 0x00000000, 0x00000000}}; - -/* reduction masks */ -const packedelem64 packedmask26 = {{0x03ffffff, 0x03ffffff}}; -const packedelem64 packedmask25 = {{0x01ffffff, 0x01ffffff}}; -const packedelem32 packedmask2625 = {{0x3ffffff,0,0x1ffffff,0}}; -const packedelem32 packedmask26262626 = {{0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff}}; -const packedelem32 packedmask25252525 = {{0x01ffffff, 0x01ffffff, 0x01ffffff, 0x01ffffff}}; - -/* multipliers */ -const packedelem64 packednineteen = {{19, 19}}; -const packedelem64 packednineteenone = {{19, 1}}; -const packedelem64 packedthirtyeight = {{38, 38}}; -const packedelem64 packed3819 = {{19*2,19}}; -const packedelem64 packed9638 = {{19*4,19*2}}; - -/* 121666,121665 */ -const packedelem64 packed121666121665 = {{121666, 121665}}; - -/* 2*(2^255 - 19) = 0 mod p */ -const packedelem32 packed2p0 = {{0x7ffffda,0x3fffffe,0x7fffffe,0x3fffffe}}; -const packedelem32 packed2p1 = {{0x7fffffe,0x3fffffe,0x7fffffe,0x3fffffe}}; -const packedelem32 packed2p2 = {{0x7fffffe,0x3fffffe,0x0000000,0x0000000}}; - -const packedelem32 packed32zeromodp0 = {{0x7ffffda,0x7ffffda,0x3fffffe,0x3fffffe}}; -const packedelem32 packed32zeromodp1 = {{0x7fffffe,0x7fffffe,0x3fffffe,0x3fffffe}}; +// Bring in all the symbols from the SSE header +using namespace CryptoPP::Donna::ArchSSE; /* Copy a bignum to another: out = in */ inline void @@ -1103,7 +1047,7 @@ ANONYMOUS_NAMESPACE_END NAMESPACE_BEGIN(CryptoPP) NAMESPACE_BEGIN(Donna) -int curve25519_SSE2(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]) +int curve25519_mult_SSE2(byte sharedKey[32], const byte secretKey[32], const byte othersKey[32]) { FixedSizeSecBlock e; for (size_t i = 0;i < 32;++i) diff --git a/donna_sse.h b/donna_sse.h new file mode 100644 index 00000000..4569471b --- /dev/null +++ b/donna_sse.h @@ -0,0 +1,84 @@ +// donna_sse.h - written and placed in public domain by Jeffrey Walton +// Crypto++ specific implementation wrapped around Andrew +// Moon's public domain curve25519-donna and ed25519-donna, +// https://github.com/floodyberry/curve25519-donna and +// https://github.com/floodyberry/ed25519-donna. + +// This source file multiplexes two different repos using namespaces. This +// was a little easier from a project management standpoint. We only need +// two files per architecture at the expense of namespaces and bloat. + +#ifndef CRYPTOPP_DONNA_SSE_H +#define CRYPTOPP_DONNA_SSE_H + +#include "config.h" +#include + +NAMESPACE_BEGIN(CryptoPP) +NAMESPACE_BEGIN(Donna) +NAMESPACE_BEGIN(ArchSSE) + +using CryptoPP::byte; +using CryptoPP::word32; + +typedef __m128i xmmi; +#define ALIGN(n) CRYPTOPP_ALIGN_DATA(n) + +typedef union packedelem8_t { + byte u[16]; + xmmi v; +} packedelem8; + +typedef union packedelem32_t { + word32 u[4]; + xmmi v; +} packedelem32; + +typedef union packedelem64_t { + word64 u[2]; + xmmi v; +} packedelem64; + +/* 10 elements + an extra 2 to fit in 3 xmm registers */ +typedef word32 bignum25519[12]; +typedef packedelem32 packed32bignum25519[5]; +typedef packedelem64 packed64bignum25519[10]; + +const word32 reduce_mask_26 = (1 << 26) - 1; +const word32 reduce_mask_25 = (1 << 25) - 1; + +const packedelem32 sse2_bot32bitmask = {{0xffffffff, 0x00000000, 0xffffffff, 0x00000000}}; +const packedelem32 sse2_top32bitmask = {{0x00000000, 0xffffffff, 0x00000000, 0xffffffff}}; +const packedelem32 sse2_top64bitmask = {{0x00000000, 0x00000000, 0xffffffff, 0xffffffff}}; +const packedelem32 sse2_bot64bitmask = {{0xffffffff, 0xffffffff, 0x00000000, 0x00000000}}; + +/* reduction masks */ +const packedelem64 packedmask26 = {{0x03ffffff, 0x03ffffff}}; +const packedelem64 packedmask25 = {{0x01ffffff, 0x01ffffff}}; +const packedelem32 packedmask2625 = {{0x3ffffff,0,0x1ffffff,0}}; +const packedelem32 packedmask26262626 = {{0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff}}; +const packedelem32 packedmask25252525 = {{0x01ffffff, 0x01ffffff, 0x01ffffff, 0x01ffffff}}; + +/* multipliers */ +const packedelem64 packednineteen = {{19, 19}}; +const packedelem64 packednineteenone = {{19, 1}}; +const packedelem64 packedthirtyeight = {{38, 38}}; +const packedelem64 packed3819 = {{19*2,19}}; +const packedelem64 packed9638 = {{19*4,19*2}}; + +/* 121666,121665 */ +const packedelem64 packed121666121665 = {{121666, 121665}}; + +/* 2*(2^255 - 19) = 0 mod p */ +const packedelem32 packed2p0 = {{0x7ffffda,0x3fffffe,0x7fffffe,0x3fffffe}}; +const packedelem32 packed2p1 = {{0x7fffffe,0x3fffffe,0x7fffffe,0x3fffffe}}; +const packedelem32 packed2p2 = {{0x7fffffe,0x3fffffe,0x0000000,0x0000000}}; + +const packedelem32 packed32zeromodp0 = {{0x7ffffda,0x7ffffda,0x3fffffe,0x3fffffe}}; +const packedelem32 packed32zeromodp1 = {{0x7fffffe,0x7fffffe,0x3fffffe,0x3fffffe}}; + +NAMESPACE_END // ArchSSE +NAMESPACE_END // Donna +NAMESPACE_END // CryptoPP + +#endif // CRYPTOPP_DONNA_SSE_H diff --git a/eccrypto.cpp b/eccrypto.cpp index e13b643f..eed99a17 100644 --- a/eccrypto.cpp +++ b/eccrypto.cpp @@ -490,7 +490,7 @@ bool DL_GroupParameters_EC::GetVoidValue(const char *name, const std::type_i { if (strcmp(name, Name::GroupOID()) == 0) { - if (m_oid.GetValues().empty()) + if (m_oid.Empty()) return false; this->ThrowIfTypeMismatch(name, typeid(OID), valueType); @@ -568,7 +568,7 @@ void DL_GroupParameters_EC::BERDecode(BufferedTransformation &bt) template void DL_GroupParameters_EC::DEREncode(BufferedTransformation &bt) const { - if (m_encodeAsOID && !m_oid.GetValues().empty()) + if (m_encodeAsOID && !m_oid.Empty()) m_oid.DEREncode(bt); else { diff --git a/pubkey.h b/pubkey.h index c4e9721b..b09bc0e4 100644 --- a/pubkey.h +++ b/pubkey.h @@ -1050,7 +1050,7 @@ public: CRYPTOPP_GET_FUNCTION_ENTRY(PublicElement); } - /// \brief Initialize or reinitialize this this key + /// \brief Initialize or reinitialize this key /// \param source NameValuePairs to assign void AssignFrom(const NameValuePairs &source); @@ -1135,7 +1135,7 @@ public: CRYPTOPP_GET_FUNCTION_ENTRY(PrivateExponent); } - /// \brief Initialize or reinitialize this this key + /// \brief Initialize or reinitialize this key /// \param source NameValuePairs to assign void AssignFrom(const NameValuePairs &source) { diff --git a/validat3.cpp b/validat3.cpp index a01dd937..a80fcc88 100644 --- a/validat3.cpp +++ b/validat3.cpp @@ -87,7 +87,7 @@ bool ValidateAll(bool thorough) pass=TestCompressors() && pass; pass=TestSharing() && pass; pass=TestEncryptors() && pass; - pass=TestCurve25519() && pass; + pass=TestX25519() && pass; #endif pass=ValidateCRC32() && pass; @@ -193,6 +193,8 @@ bool ValidateAll(bool thorough) pass=ValidateECGDSA(thorough) && pass; pass=ValidateESIGN() && pass; + pass=ValidateX25519() && pass; + pass=ValidateEd25519() && pass; pass=ValidateNaCl() && pass; if (pass) diff --git a/validat6.cpp b/validat6.cpp index 8f20a8de..06d26276 100644 --- a/validat6.cpp +++ b/validat6.cpp @@ -143,7 +143,7 @@ bool SignatureValidate(PK_Signer &priv, PK_Verifier &pub, bool thorough) std::cout << (fail ? "FAILED " : "passed "); std::cout << "signature key validation\n"; - const byte *message = (byte *)"test message"; + const byte message[] = "test message"; const int messageLen = 12; SecByteBlock signature(priv.MaxSignatureLength()); diff --git a/validat7.cpp b/validat7.cpp index b429d89d..64ba30de 100644 --- a/validat7.cpp +++ b/validat7.cpp @@ -356,10 +356,10 @@ bool ValidateEC2N_Agreement() return pass; } -// TestCurve25519 is slighty more comprehensive than ValidateX25519 +// TestX25519 is slighty more comprehensive than ValidateX25519 // because it cross-validates against Bernstein's NaCL library. -// TestCurve25519 called in Debug builds. -bool TestCurve25519() +// TestX25519 called in Debug builds. +bool TestX25519() { std::cout << "\nTesting curve25519 Key Agreements...\n\n"; const unsigned int AGREE_COUNT = 64; @@ -375,11 +375,11 @@ bool TestCurve25519() priv2[0] &= 248; priv2[31] &= 127; priv2[31] |= 64; // Andrew Moon's curve25519-donna - Donna::curve25519(pub1, priv1); - Donna::curve25519(pub2, priv2); + Donna::curve25519_mult(pub1, priv1); + Donna::curve25519_mult(pub2, priv2); - int ret1 = Donna::curve25519(share1, priv1, pub2); - int ret2 = Donna::curve25519(share2, priv2, pub1); + int ret1 = Donna::curve25519_mult(share1, priv1, pub2); + int ret2 = Donna::curve25519_mult(share2, priv2, pub1); int ret3 = std::memcmp(share1, share2, 32); #if defined(NO_OS_DEPENDENCE) @@ -388,7 +388,7 @@ bool TestCurve25519() // Bernstein's NaCl requires DefaultAutoSeededRNG. NaCl::crypto_box_keypair(pub2, priv2); - int ret4 = Donna::curve25519(share1, priv1, pub2); + int ret4 = Donna::curve25519_mult(share1, priv1, pub2); int ret5 = NaCl::crypto_scalarmult(share2, priv2, pub1); int ret6 = std::memcmp(share1, share2, 32); #endif @@ -406,5 +406,114 @@ bool TestCurve25519() return pass; } +// TestEd25519 is slighty more comprehensive than ValidateEd25519 +// because it cross-validates against Bernstein's NaCL library. +// TestEd25519 called in Debug builds. +bool TestEd25519() +{ + std::cout << "\nTesting ed25519 Signatures...\n\n"; + const unsigned int SIGN_COUNT = 64, MSG_SIZE=128; + const unsigned int NACL_EXTRA=NaCl::crypto_sign_BYTES; + bool pass = true; + + // Test key conversion + byte seed[32], sk1[64], sk2[64], pk1[32], pk2[32]; + for (unsigned int i = 0; i #include #include @@ -667,5 +672,33 @@ bool ValidateESIGN() return pass; } +bool ValidateEd25519() +{ + std::cout << "\ned25519 validation suite running...\n\n"; + bool pass = true, fail; + + const char plain[] = "test"; + const byte signature[] = + "\x91\x12\x44\x91\xA5\x99\xF8\x49\xBA\xB2\xC4\xF2\xBA\x0B\xAA\x99" + "\xC8\xC5\xF5\x19\xDC\x07\xD4\x4C\xF7\x31\xDE\x2F\x2B\x81\xB2\x81" + "\xF6\xA7\xDE\x33\x29\xCA\x45\xAC\x69\x2A\x80\xB7\xDB\x7F\x07\x37" + "\x77\xC4\xBF\xC5\x45\x79\x3A\xAC\xB5\x16\xAE\x4E\xD9\x16\x95\x0E"; + + FileSource keys(DataDir("TestData/ed25519.dat").c_str(), true, new HexDecoder); + ed25519::Signer signer(keys); + ed25519::Verifier verifier(signer); + + fail = !SignatureValidate(signer, verifier); + pass = pass && !fail; + + fail = !verifier.VerifyMessage((byte *)plain, strlen(plain), signature, verifier.SignatureLength()); + pass = pass && !fail; + + std::cout << (fail ? "FAILED " : "passed "); + std::cout << "verification check against test vector\n"; + + return pass; +} + NAMESPACE_END // Test NAMESPACE_END // CryptoPP diff --git a/validate.h b/validate.h index a562a282..5e7a7916 100644 --- a/validate.h +++ b/validate.h @@ -109,7 +109,6 @@ bool ValidateCMAC(); bool ValidateBBS(); bool ValidateDH(); -bool ValidateX25519(); bool ValidateMQV(); bool ValidateHMQV(); bool ValidateFHMQV(); @@ -134,7 +133,10 @@ bool ValidateESIGN(); bool ValidateHashDRBG(); bool ValidateHmacDRBG(); -bool TestCurve25519(); +bool TestX25519(); +bool TestEd25519(); +bool ValidateX25519(); +bool ValidateEd25519(); bool ValidateNaCl(); // If CRYPTOPP_DEBUG or CRYPTOPP_COVERAGE is in effect, then perform additional tests diff --git a/xed25519.cpp b/xed25519.cpp index 3d118839..c149c9ed 100644 --- a/xed25519.cpp +++ b/xed25519.cpp @@ -1,7 +1,8 @@ // xed25519.cpp - written and placed in public domain by Jeffrey Walton // Crypto++ specific implementation wrapped around Andrew -// Moon's public domain curve25519-donna. Also see -// https://github.com/floodyberry/curve25519-donna. +// Moon's public domain curve25519-donna and ed25519-donna, +// https://github.com/floodyberry/curve25519-donna and +// https://github.com/floodyberry/ed25519-donna. #include "pch.h" @@ -9,6 +10,7 @@ #include "asn.h" #include "integer.h" #include "filters.h" +#include "stdcpp.h" #include "xed25519.h" #include "donna.h" @@ -43,23 +45,81 @@ const byte blacklist[][32] = { 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }, { 0xdb, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff } - }; +}; ANONYMOUS_NAMESPACE_END NAMESPACE_BEGIN(CryptoPP) -bool x25519::IsClamped(const byte x[32]) +// ******************** x25519 Agreement ************************* // + +x25519::x25519(const byte y[PUBLIC_KEYLENGTH], const byte x[SECRET_KEYLENGTH]) +{ + std::memcpy(m_pk, y, SECRET_KEYLENGTH); + std::memcpy(m_sk, x, PUBLIC_KEYLENGTH); + + CRYPTOPP_ASSERT(IsClamped(m_sk) == true); + CRYPTOPP_ASSERT(IsSmallOrder(m_pk) == false); +} + +x25519::x25519(const byte x[SECRET_KEYLENGTH]) +{ + std::memcpy(m_sk, x, SECRET_KEYLENGTH); + Donna::curve25519_mult(m_pk, m_sk); +} + +x25519::x25519(const Integer &y, const Integer &x) +{ + CRYPTOPP_ASSERT(y.MinEncodedSize() <= PUBLIC_KEYLENGTH); + CRYPTOPP_ASSERT(x.MinEncodedSize() <= SECRET_KEYLENGTH); + + y.Encode(m_pk, PUBLIC_KEYLENGTH); std::reverse(m_pk+0, m_pk+PUBLIC_KEYLENGTH); + x.Encode(m_sk, SECRET_KEYLENGTH); std::reverse(m_sk+0, m_sk+SECRET_KEYLENGTH); + + CRYPTOPP_ASSERT(IsClamped(m_sk) == true); + CRYPTOPP_ASSERT(IsSmallOrder(m_pk) == false); +} + +x25519::x25519(const Integer &x) +{ + CRYPTOPP_ASSERT(x.MinEncodedSize() <= SECRET_KEYLENGTH); + + x.Encode(m_sk, SECRET_KEYLENGTH); + std::reverse(m_sk+0, m_sk+SECRET_KEYLENGTH); + Donna::curve25519_mult(m_pk, m_sk); + + CRYPTOPP_ASSERT(IsClamped(m_sk) == true); + CRYPTOPP_ASSERT(IsSmallOrder(m_pk) == false); +} + +x25519::x25519(RandomNumberGenerator &rng) +{ + rng.GenerateBlock(m_sk, SECRET_KEYLENGTH); + m_sk[0] &= 248; m_sk[31] &= 127; m_sk[31] |= 64; + Donna::curve25519_mult(m_pk, m_sk); +} + +x25519::x25519(BufferedTransformation ¶ms) +{ + Load(params); +} + +void x25519::ClampKeys(byte y[PUBLIC_KEYLENGTH], byte x[SECRET_KEYLENGTH]) const +{ + x[0] &= 248; x[31] &= 127; x[31] |= 64; + Donna::curve25519_mult(y, x); +} + +bool x25519::IsClamped(const byte x[SECRET_KEYLENGTH]) const { return (x[0] & 248) == x[0] && (x[31] & 127) == x[31] && (x[31] | 64) == x[31]; } -// See the comments for the code in tweetnacl.cpp -bool x25519::IsSmallOrder(const byte y[32]) +bool x25519::IsSmallOrder(const byte y[PUBLIC_KEYLENGTH]) const { // The magic 12 is the count of blaklisted points byte c[12] = { 0 }; - for (size_t j = 0; j < 32; j++) { + for (size_t j = 0; j < PUBLIC_KEYLENGTH; j++) { for (size_t i = 0; i < COUNTOF(blacklist); i++) { c[i] |= y[j] ^ blacklist[i][j]; } @@ -70,120 +130,120 @@ bool x25519::IsSmallOrder(const byte y[32]) k |= (c[i] - 1); } - return (bool) ((k >> 8) & 1); + return (bool)((k >> 8) & 1); } -void x25519::ClampKey(byte x[32]) +void x25519::BERDecodeAndCheckAlgorithmID(BufferedTransformation &bt) { - x[0] &= 248; - x[31] &= 127; - x[31] |= 64; + // We have not yet determined the OID to use for this object. + // We can't use OID's decoder because it throws BERDecodeError + // if the OIDs do not match. + OID oid(bt); + + if (!m_oid.Empty() && m_oid != oid) + BERDecodeError(); // Only accept user specified OID + else if (oid == ASN1::curve25519() || oid == ASN1::X25519()) + m_oid = oid; // Accept any of the x25519 OIDs + else + BERDecodeError(); } -x25519::x25519(const byte y[32], const byte x[32]) +void x25519::BERDecode(BufferedTransformation &bt) { - std::memcpy(m_pk, y, 32); - std::memcpy(m_sk, x, 32); + // https://tools.ietf.org/html/rfc8410, section 7 and + // https://www.cryptopp.com/wiki/curve25519_keys + BERSequenceDecoder privateKeyInfo(bt); + word32 version; + BERDecodeUnsigned(privateKeyInfo, version, INTEGER, 0, 1); // check version + + BERSequenceDecoder algorithm(privateKeyInfo); + // GetAlgorithmID().BERDecodeAndCheck(algorithm); + BERDecodeAndCheckAlgorithmID(algorithm); + algorithm.MessageEnd(); + + BERGeneralDecoder octetString(privateKeyInfo, OCTET_STRING); + BERDecodePrivateKey(octetString, false, (size_t)privateKeyInfo.RemainingLength()); + octetString.MessageEnd(); + + bool generatePublicKey = true; + if (version == 1) + { + BERGeneralDecoder publicKey(privateKeyInfo, CONTEXT_SPECIFIC | CONSTRUCTED | 1); + SecByteBlock subjectPublicKey; + unsigned int unusedBits; + BERDecodeBitString(publicKey, subjectPublicKey, unusedBits); + CRYPTOPP_ASSERT(unusedBits == 0); + CRYPTOPP_ASSERT(subjectPublicKey.size() == PUBLIC_KEYLENGTH); + if (subjectPublicKey.size() != PUBLIC_KEYLENGTH) + BERDecodeError(); + std::memcpy(m_pk.begin(), subjectPublicKey, PUBLIC_KEYLENGTH); + generatePublicKey = false; + publicKey.MessageEnd(); + } + + privateKeyInfo.MessageEnd(); + + if (generatePublicKey) + Donna::curve25519_mult(m_pk, m_sk); CRYPTOPP_ASSERT(IsClamped(m_sk) == true); CRYPTOPP_ASSERT(IsSmallOrder(m_pk) == false); } -x25519::x25519(const byte x[32]) +void x25519::DEREncode(BufferedTransformation &bt, int version) const { - std::memcpy(m_sk, x, 32); - GeneratePublicKey(NullRNG(), m_sk, m_pk); + // https://tools.ietf.org/html/rfc8410, section 7 and + // https://www.cryptopp.com/wiki/curve25519_keys + CRYPTOPP_ASSERT(version == 0 || version == 1); - CRYPTOPP_ASSERT(IsClamped(m_sk) == true); - CRYPTOPP_ASSERT(IsSmallOrder(m_pk) == false); + DERSequenceEncoder privateKeyInfo(bt); + DEREncodeUnsigned(privateKeyInfo, version); + + DERSequenceEncoder algorithm(privateKeyInfo); + GetAlgorithmID().DEREncode(algorithm); + algorithm.MessageEnd(); + + DERGeneralEncoder octetString(privateKeyInfo, OCTET_STRING); + DEREncodePrivateKey(octetString); + octetString.MessageEnd(); + + if (version == 1) + { + DERGeneralEncoder publicKey(privateKeyInfo, CONTEXT_SPECIFIC | CONSTRUCTED | 1); + DEREncodeBitString(publicKey, m_pk, PUBLIC_KEYLENGTH); + publicKey.MessageEnd(); + } + + privateKeyInfo.MessageEnd(); } -x25519::x25519(const Integer &y, const Integer &x) +void x25519::BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t /*size*/) { - ArraySink ys(m_pk, 32); - y.Encode(ys, 32); + // https://tools.ietf.org/html/rfc8410 and + // https://www.cryptopp.com/wiki/curve25519_keys - ArraySink xs(m_sk, 32); - x.Encode(xs, 32); + BERGeneralDecoder privateKey(bt, OCTET_STRING); - CRYPTOPP_ASSERT(IsClamped(m_sk) == true); - CRYPTOPP_ASSERT(IsSmallOrder(m_pk) == false); + if (!privateKey.IsDefiniteLength()) + BERDecodeError(); + + size_t size = privateKey.Get(m_sk, SECRET_KEYLENGTH); + if (size != SECRET_KEYLENGTH) + BERDecodeError(); + + // We don't know how to decode them + if (parametersPresent) + BERDecodeError(); + + privateKey.MessageEnd(); } -x25519::x25519(const Integer &x) +void x25519::DEREncodePrivateKey(BufferedTransformation &bt) const { - ArraySink xs(m_sk, 32); - x.Encode(xs, 32); - GeneratePublicKey(NullRNG(), m_sk, m_pk); - - CRYPTOPP_ASSERT(IsClamped(m_sk) == true); - CRYPTOPP_ASSERT(IsSmallOrder(m_pk) == false); -} - -x25519::x25519(RandomNumberGenerator &rng) -{ - GeneratePrivateKey(rng, m_sk); - GeneratePublicKey(NullRNG(), m_sk, m_pk); - - CRYPTOPP_ASSERT(IsClamped(m_sk) == true); - CRYPTOPP_ASSERT(IsSmallOrder(m_pk) == false); -} - -x25519::x25519(BufferedTransformation ¶ms) -{ - // TODO: Fix the on-disk format once we determine what it is. - BERSequenceDecoder seq(params); - - size_t read; byte unused; - - BERSequenceDecoder sk(seq, BIT_STRING); - CRYPTOPP_ASSERT(sk.MaxRetrievable() >= 33); - - read = sk.Get(unused); // unused bits - CRYPTOPP_ASSERT(read == 1 && unused == 0); - - read = sk.Get(m_sk, 32); - sk.MessageEnd(); - - if (read != 32) - throw BERDecodeErr(); - - if (seq.EndReached()) - { - GeneratePublicKey(NullRNG(), m_sk, m_pk); - } - else - { - BERSequenceDecoder pk(seq, OCTET_STRING); - CRYPTOPP_ASSERT(pk.MaxRetrievable() >= 32); - read = pk.Get(m_pk, 32); - pk.MessageEnd(); - - if (read != 32) - throw BERDecodeErr(); - } - - seq.MessageEnd(); - - CRYPTOPP_ASSERT(IsClamped(m_sk) == true); - CRYPTOPP_ASSERT(IsSmallOrder(m_pk) == false); -} - -void x25519::DEREncode(BufferedTransformation ¶ms) const -{ - // TODO: Fix the on-disk format once we determine what it is. - DERSequenceEncoder seq(params); - - DERSequenceEncoder sk(seq, BIT_STRING); - sk.Put((byte)0); // unused bits - sk.Put(m_sk, 32); - sk.MessageEnd(); - - DERSequenceEncoder pk(seq, OCTET_STRING); - pk.Put(m_pk, 32); - pk.MessageEnd(); - - seq.MessageEnd(); + // https://tools.ietf.org/html/rfc8410 + DERGeneralEncoder privateKey(bt, OCTET_STRING); + privateKey.Put(m_sk, SECRET_KEYLENGTH); + privateKey.MessageEnd(); } bool x25519::Validate(RandomNumberGenerator &rng, unsigned int level) const @@ -202,18 +262,28 @@ bool x25519::Validate(RandomNumberGenerator &rng, unsigned int level) const bool x25519::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const { - if (valueType == typeid(ConstByteArrayParameter)) + if (std::strcmp(name, Name::PrivateExponent()) == 0 || std::strcmp(name, "SecretKey") == 0) { - if (std::strcmp(name, "SecretKey") == 0) - { - std::memcpy(pValue, m_sk, 32); - return true; - } - else if (std::strcmp(name, "PublicKey") == 0) - { - std::memcpy(pValue, m_pk, 32); - return true; - } + this->ThrowIfTypeMismatch(name, typeid(ConstByteArrayParameter), valueType); + reinterpret_cast(pValue)->Assign(m_sk, SECRET_KEYLENGTH, false); + return true; + } + + if (std::strcmp(name, Name::PublicElement()) == 0) + { + this->ThrowIfTypeMismatch(name, typeid(ConstByteArrayParameter), valueType); + reinterpret_cast(pValue)->Assign(m_pk, PUBLIC_KEYLENGTH, false); + return true; + } + + if (std::strcmp(name, Name::GroupOID()) == 0) + { + if (m_oid.Empty()) + return false; + + this->ThrowIfTypeMismatch(name, typeid(OID), valueType); + *reinterpret_cast(pValue) = m_oid; + return true; } return false; @@ -222,27 +292,44 @@ bool x25519::GetVoidValue(const char *name, const std::type_info &valueType, voi void x25519::AssignFrom(const NameValuePairs &source) { ConstByteArrayParameter val; - if (source.GetValue("SecretKey", val)) + if (source.GetValue(Name::PrivateExponent(), val) || source.GetValue("SecretKey", val)) { - std::memcpy(m_sk, val.begin(), 32); + std::memcpy(m_sk, val.begin(), SECRET_KEYLENGTH); } - else if (source.GetValue("PublicKey", val)) + + if (source.GetValue(Name::PublicElement(), val)) { - std::memcpy(m_pk, val.begin(), 32); + std::memcpy(m_pk, val.begin(), PUBLIC_KEYLENGTH); } + + OID oid; + if (source.GetValue(Name::GroupOID(), oid)) + { + m_oid = oid; + } +} + +void x25519::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs ¶ms) +{ + ConstByteArrayParameter seed; + if (params.GetValue(Name::Seed(), seed) && rng.CanIncorporateEntropy()) + rng.IncorporateEntropy(seed.begin(), seed.size()); + + rng.GenerateBlock(m_sk, SECRET_KEYLENGTH); + m_sk[0] &= 248; m_sk[31] &= 127; m_sk[31] |= 64; + Donna::curve25519_mult(m_pk, m_sk); } void x25519::GeneratePrivateKey(RandomNumberGenerator &rng, byte *privateKey) const { - rng.GenerateBlock(privateKey, 32); - ClampKey(privateKey); + rng.GenerateBlock(privateKey, SECRET_KEYLENGTH); + privateKey[0] &= 248; privateKey[31] &= 127; privateKey[31] |= 64; } void x25519::GeneratePublicKey(RandomNumberGenerator &rng, const byte *privateKey, byte *publicKey) const { CRYPTOPP_UNUSED(rng); - - (void)Donna::curve25519(publicKey, privateKey); + Donna::curve25519_mult(publicKey, privateKey); } bool x25519::Agree(byte *agreedValue, const byte *privateKey, const byte *otherPublicKey, bool validateOtherPublicKey) const @@ -253,7 +340,490 @@ bool x25519::Agree(byte *agreedValue, const byte *privateKey, const byte *otherP if (validateOtherPublicKey && IsSmallOrder(otherPublicKey)) return false; - return Donna::curve25519(agreedValue, privateKey, otherPublicKey) == 0; + return Donna::curve25519_mult(agreedValue, privateKey, otherPublicKey) == 0; +} + +// ******************** ed25519 Signer ************************* // + +void ed25519PrivateKey::ClampKeys(byte y[PUBLIC_KEYLENGTH], byte x[SECRET_KEYLENGTH]) const +{ + x[0] &= 248; x[31] &= 127; x[31] |= 64; + int ret = Donna::ed25519_publickey(y, x); + CRYPTOPP_ASSERT(ret == 0); +} + +bool ed25519PrivateKey::IsClamped(const byte x[SECRET_KEYLENGTH]) const +{ + return (x[0] & 248) == x[0] && (x[31] & 127) == x[31] && (x[31] | 64) == x[31]; +} + +bool ed25519PrivateKey::Validate(RandomNumberGenerator &rng, unsigned int level) const +{ + CRYPTOPP_UNUSED(rng); CRYPTOPP_UNUSED(level); + return true; +} + +bool ed25519PrivateKey::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const +{ + if (std::strcmp(name, Name::PrivateExponent()) == 0 || std::strcmp(name, "SecretKey") == 0) + { + this->ThrowIfTypeMismatch(name, typeid(ConstByteArrayParameter), valueType); + reinterpret_cast(pValue)->Assign(m_sk, SECRET_KEYLENGTH, false); + return true; + } + + if (std::strcmp(name, Name::PublicElement()) == 0) + { + this->ThrowIfTypeMismatch(name, typeid(ConstByteArrayParameter), valueType); + reinterpret_cast(pValue)->Assign(m_pk, PUBLIC_KEYLENGTH, false); + return true; + } + + if (std::strcmp(name, Name::GroupOID()) == 0) + { + if (m_oid.Empty()) + return false; + + this->ThrowIfTypeMismatch(name, typeid(OID), valueType); + *reinterpret_cast(pValue) = m_oid; + return true; + } + + return false; +} + +void ed25519PrivateKey::AssignFrom(const NameValuePairs &source) +{ + ConstByteArrayParameter val; + if (source.GetValue(Name::PrivateExponent(), val) || source.GetValue("SecretKey", val)) + { + CRYPTOPP_ASSERT(val.size() == SECRET_KEYLENGTH); + std::memcpy(m_sk, val.begin(), SECRET_KEYLENGTH); + } + if (source.GetValue(Name::PublicElement(), val)) + { + CRYPTOPP_ASSERT(val.size() == PUBLIC_KEYLENGTH); + std::memcpy(m_pk, val.begin(), PUBLIC_KEYLENGTH); + } + + OID oid; + if (source.GetValue(Name::GroupOID(), oid)) + { + m_oid = oid; + } + + bool clamp = false; + if (source.GetValue("Clamp", clamp) && clamp == true) + ClampKeys(m_pk, m_sk); +} + +void ed25519PrivateKey::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs ¶ms=g_nullNameValuePairs) +{ + ConstByteArrayParameter seed; + if (params.GetValue(Name::Seed(), seed) && rng.CanIncorporateEntropy()) + rng.IncorporateEntropy(seed.begin(), seed.size()); + + rng.GenerateBlock(m_sk, 32); + m_sk[0] &= 248; m_sk[31] &= 127; m_sk[31] |= 64; + int ret = Donna::ed25519_publickey(m_pk, m_sk); + CRYPTOPP_ASSERT(ret == 0); +} + +void ed25519PrivateKey::MakePublicKey (PublicKey &pub) const +{ + pub.AssignFrom(MakeParameters + (Name::PublicElement(), ConstByteArrayParameter(m_pk.begin(), PUBLIC_KEYLENGTH)) + (Name::GroupOID(), GetAlgorithmID())); +} + +void ed25519PrivateKey::BERDecodeAndCheckAlgorithmID(BufferedTransformation &bt) +{ + // We have not yet determined the OID to use for this object. + // We can't use OID's decoder because it throws BERDecodeError + // if the OIDs do not match. + OID oid(bt); + + if (!m_oid.Empty() && m_oid != oid) + BERDecodeError(); // Only accept user specified OID + else if (oid == ASN1::curve25519() || oid == ASN1::Ed25519()) + m_oid = oid; // Accept any of the ed25519PrivateKey OIDs + else + BERDecodeError(); +} + +void ed25519PrivateKey::BERDecode(BufferedTransformation &bt) +{ + // https://tools.ietf.org/html/rfc8410, section 7 and + // https://www.cryptopp.com/wiki/curve25519_keys + BERSequenceDecoder privateKeyInfo(bt); + word32 version; + BERDecodeUnsigned(privateKeyInfo, version, INTEGER, 0, 1); // check version + + BERSequenceDecoder algorithm(privateKeyInfo); + // GetAlgorithmID().BERDecodeAndCheck(algorithm); + BERDecodeAndCheckAlgorithmID(algorithm); + algorithm.MessageEnd(); + + BERGeneralDecoder octetString(privateKeyInfo, OCTET_STRING); + BERDecodePrivateKey(octetString, false, (size_t)privateKeyInfo.RemainingLength()); + octetString.MessageEnd(); + + bool generatePublicKey = true; + if (version == 1) + { + BERGeneralDecoder publicKey(privateKeyInfo, CONTEXT_SPECIFIC | CONSTRUCTED | 1); + SecByteBlock subjectPublicKey; + unsigned int unusedBits; + BERDecodeBitString(publicKey, subjectPublicKey, unusedBits); + CRYPTOPP_ASSERT(unusedBits == 0); + CRYPTOPP_ASSERT(subjectPublicKey.size() == PUBLIC_KEYLENGTH); + if (subjectPublicKey.size() != PUBLIC_KEYLENGTH) + BERDecodeError(); + std::memcpy(m_pk.begin(), subjectPublicKey, PUBLIC_KEYLENGTH); + generatePublicKey = false; + publicKey.MessageEnd(); + } + + privateKeyInfo.MessageEnd(); + + if (generatePublicKey) + Donna::ed25519_publickey(m_pk, m_sk); + + CRYPTOPP_ASSERT(IsClamped(m_sk) == true); +} + +void ed25519PrivateKey::DEREncode(BufferedTransformation &bt, int version) const +{ + // https://tools.ietf.org/html/rfc8410, section 7 and + // https://www.cryptopp.com/wiki/curve25519_keys + CRYPTOPP_ASSERT(version == 0 || version == 1); + + DERSequenceEncoder privateKeyInfo(bt); + DEREncodeUnsigned(privateKeyInfo, version); + + DERSequenceEncoder algorithm(privateKeyInfo); + GetAlgorithmID().DEREncode(algorithm); + algorithm.MessageEnd(); + + DERGeneralEncoder octetString(privateKeyInfo, OCTET_STRING); + DEREncodePrivateKey(octetString); + octetString.MessageEnd(); + + if (version == 1) + { + DERGeneralEncoder publicKey(privateKeyInfo, CONTEXT_SPECIFIC | CONSTRUCTED | 1); + DEREncodeBitString(publicKey, m_pk, PUBLIC_KEYLENGTH); + publicKey.MessageEnd(); + } + + privateKeyInfo.MessageEnd(); +} + +void ed25519PrivateKey::BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t /*size*/) +{ + // https://tools.ietf.org/html/rfc8410 and + // https://www.cryptopp.com/wiki/curve25519_keys + + BERGeneralDecoder privateKey(bt, OCTET_STRING); + + if (!privateKey.IsDefiniteLength()) + BERDecodeError(); + + size_t size = privateKey.Get(m_sk, SECRET_KEYLENGTH); + if (size != SECRET_KEYLENGTH) + BERDecodeError(); + + // We don't know how to decode them + if (parametersPresent) + BERDecodeError(); + + privateKey.MessageEnd(); +} + +void ed25519PrivateKey::DEREncodePrivateKey(BufferedTransformation &bt) const +{ + // https://tools.ietf.org/html/rfc8410 + DERGeneralEncoder privateKey(bt, OCTET_STRING); + privateKey.Put(m_sk, SECRET_KEYLENGTH); + privateKey.MessageEnd(); +} + +void ed25519PrivateKey::SetPrivateExponent (const byte x[SECRET_KEYLENGTH]) +{ + AssignFrom(MakeParameters + (Name::PrivateExponent(), ConstByteArrayParameter(x, SECRET_KEYLENGTH)) + ("Clamp", true)); +} + +void ed25519PrivateKey::SetPrivateExponent (const Integer &x) +{ + CRYPTOPP_ASSERT(x.MinEncodedSize() <= SECRET_KEYLENGTH); + + SecByteBlock bx(SECRET_KEYLENGTH); + x.Encode(bx, SECRET_KEYLENGTH); std::reverse(bx+0, bx+SECRET_KEYLENGTH); + + AssignFrom(MakeParameters + (Name::PrivateExponent(), ConstByteArrayParameter(bx, SECRET_KEYLENGTH, false)) + ("Clamp", true)); +} + +const Integer& ed25519PrivateKey::GetPrivateExponent() const +{ + m_x = Integer(m_sk, SECRET_KEYLENGTH, Integer::UNSIGNED, LITTLE_ENDIAN_ORDER); + return m_x; +} + +//////////////////////// + +ed25519Signer::ed25519Signer(const byte y[PUBLIC_KEYLENGTH], const byte x[SECRET_KEYLENGTH]) +{ + AccessPrivateKey().AssignFrom(MakeParameters + (Name::PrivateExponent(), ConstByteArrayParameter(x, SECRET_KEYLENGTH, false)) + (Name::PublicElement(), ConstByteArrayParameter(y, PUBLIC_KEYLENGTH, false))); +} + +ed25519Signer::ed25519Signer(const byte x[SECRET_KEYLENGTH]) +{ + AccessPrivateKey().AssignFrom(MakeParameters + (Name::PrivateExponent(), ConstByteArrayParameter(x, SECRET_KEYLENGTH, false)) + ("Clamp", true)); +} + +ed25519Signer::ed25519Signer(const Integer &y, const Integer &x) +{ + CRYPTOPP_ASSERT(y.MinEncodedSize() <= PUBLIC_KEYLENGTH); + CRYPTOPP_ASSERT(x.MinEncodedSize() <= SECRET_KEYLENGTH); + + SecByteBlock by(PUBLIC_KEYLENGTH), bx(SECRET_KEYLENGTH); + y.Encode(by, PUBLIC_KEYLENGTH); std::reverse(by+0, by+PUBLIC_KEYLENGTH); + x.Encode(bx, SECRET_KEYLENGTH); std::reverse(bx+0, bx+SECRET_KEYLENGTH); + + AccessPrivateKey().AssignFrom(MakeParameters + (Name::PublicElement(), ConstByteArrayParameter(by, PUBLIC_KEYLENGTH, false)) + (Name::PrivateExponent(), ConstByteArrayParameter(bx, SECRET_KEYLENGTH, false))); +} + +ed25519Signer::ed25519Signer(const Integer &x) +{ + CRYPTOPP_ASSERT(x.MinEncodedSize() <= SECRET_KEYLENGTH); + + SecByteBlock bx(SECRET_KEYLENGTH); + x.Encode(bx, SECRET_KEYLENGTH); std::reverse(bx+0, bx+SECRET_KEYLENGTH); + + AccessPrivateKey().AssignFrom(MakeParameters + (Name::PrivateExponent(), ConstByteArrayParameter(bx, SECRET_KEYLENGTH, false)) + ("Clamp", true)); +} + +ed25519Signer::ed25519Signer(RandomNumberGenerator &rng) +{ + AccessPrivateKey().GenerateRandom(rng); +} + +ed25519Signer::ed25519Signer(BufferedTransformation ¶ms) +{ + ed25519PrivateKey& key = static_cast(AccessPrivateKey()); + key.BERDecode(params); +} + +size_t ed25519Signer::SignAndRestart(RandomNumberGenerator &rng, PK_MessageAccumulator &messageAccumulator, byte *signature, bool restart) const +{ + CRYPTOPP_ASSERT(signature != NULLPTR); CRYPTOPP_UNUSED(rng); + + ed25519_MessageAccumulator& accum = static_cast(messageAccumulator); + const ed25519PrivateKey& pk = static_cast(GetPrivateKey()); + int ret = Donna::ed25519_sign(accum.data(), accum.size(), pk.m_sk, pk.m_pk, signature); + CRYPTOPP_ASSERT(ret == 0); + + if (restart) + accum.Restart(); + + return ret == 0 ? SIGNATURE_LENGTH : 0; +} + +// ******************** ed25519 Verifier ************************* // + +bool ed25519PublicKey::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const +{ + if (std::strcmp(name, Name::PublicElement()) == 0) + { + this->ThrowIfTypeMismatch(name, typeid(ConstByteArrayParameter), valueType); + reinterpret_cast(pValue)->Assign(m_pk, PUBLIC_KEYLENGTH, false); + return true; + } + + if (std::strcmp(name, Name::GroupOID()) == 0) + { + if (m_oid.Empty()) + return false; + + this->ThrowIfTypeMismatch(name, typeid(OID), valueType); + *reinterpret_cast(pValue) = m_oid; + return true; + } + + return false; +} + +void ed25519PublicKey::AssignFrom(const NameValuePairs &source) +{ + ConstByteArrayParameter ba; + if (source.GetValue(Name::PublicElement(), ba)) + { + std::memcpy(m_pk, ba.begin(), PUBLIC_KEYLENGTH); + } + + OID oid; + if (source.GetValue(Name::GroupOID(), oid)) + { + m_oid = oid; + } +} + +void ed25519PublicKey::BERDecodeAndCheckAlgorithmID(BufferedTransformation& bt) +{ + // We have not yet determined the OID to use for this object. + // We can't use OID's decoder because it throws BERDecodeError + // if the OIDs do not match. + OID oid(bt); + + if (!m_oid.Empty() && m_oid != oid) + BERDecodeError(); // Only accept user specified OID + else if (oid == ASN1::curve25519() || oid == ASN1::Ed25519()) + m_oid = oid; // Accept any of the ed25519PublicKey OIDs + else + BERDecodeError(); +} + +void ed25519PublicKey::BERDecode(BufferedTransformation &bt) +{ + BERSequenceDecoder publicKeyInfo(bt); + + BERSequenceDecoder algorithm(publicKeyInfo); + // GetAlgorithmID().BERDecodeAndCheck(algorithm); + BERDecodeAndCheckAlgorithmID(algorithm); + algorithm.MessageEnd(); + + BERDecodePublicKey(publicKeyInfo, false, (size_t)publicKeyInfo.RemainingLength()); + + publicKeyInfo.MessageEnd(); +} + +void ed25519PublicKey::DEREncode(BufferedTransformation &bt) const +{ + DERSequenceEncoder publicKeyInfo(bt); + + DERSequenceEncoder algorithm(publicKeyInfo); + GetAlgorithmID().DEREncode(algorithm); + algorithm.MessageEnd(); + + DEREncodePublicKey(publicKeyInfo); + + publicKeyInfo.MessageEnd(); +} + +void ed25519PublicKey::BERDecodePublicKey(BufferedTransformation &bt, bool parametersPresent, size_t /*size*/) +{ + // We don't know how to decode them + if (parametersPresent) + BERDecodeError(); + + SecByteBlock subjectPublicKey; + unsigned int unusedBits; + BERDecodeBitString(bt, subjectPublicKey, unusedBits); + + CRYPTOPP_ASSERT(unusedBits == 0); + CRYPTOPP_ASSERT(subjectPublicKey.size() == PUBLIC_KEYLENGTH); + if (subjectPublicKey.size() != PUBLIC_KEYLENGTH) + BERDecodeError(); + + std::memcpy(m_pk.begin(), subjectPublicKey, PUBLIC_KEYLENGTH); +} + +void ed25519PublicKey::DEREncodePublicKey(BufferedTransformation &bt) const +{ + DEREncodeBitString(bt, m_pk, PUBLIC_KEYLENGTH); +} + +void ed25519PublicKey::SetPublicElement (const byte y[PUBLIC_KEYLENGTH]) +{ + std::memcpy(m_pk, y, PUBLIC_KEYLENGTH); +} + +void ed25519PublicKey::SetPublicElement (const Integer &y) +{ + CRYPTOPP_ASSERT(y.MinEncodedSize() <= PUBLIC_KEYLENGTH); + + SecByteBlock by(PUBLIC_KEYLENGTH); + y.Encode(by, PUBLIC_KEYLENGTH); std::reverse(by+0, by+PUBLIC_KEYLENGTH); + + std::memcpy(m_pk, by, PUBLIC_KEYLENGTH); +} + +const Integer& ed25519PublicKey::GetPublicElement() const +{ + m_y = Integer(m_pk, PUBLIC_KEYLENGTH, Integer::UNSIGNED, LITTLE_ENDIAN_ORDER); + return m_y; +} + +bool ed25519PublicKey::Validate(RandomNumberGenerator &rng, unsigned int level) const +{ + CRYPTOPP_UNUSED(rng); CRYPTOPP_UNUSED(level); + return true; +} + +//////////////////////// + +ed25519Verifier::ed25519Verifier(const byte y[PUBLIC_KEYLENGTH]) +{ + AccessPublicKey().AssignFrom(MakeParameters + (Name::PublicElement(), ConstByteArrayParameter(y, PUBLIC_KEYLENGTH))); +} + +ed25519Verifier::ed25519Verifier(const Integer &y) +{ + CRYPTOPP_ASSERT(y.MinEncodedSize() <= PUBLIC_KEYLENGTH); + + SecByteBlock by(PUBLIC_KEYLENGTH); + y.Encode(by, PUBLIC_KEYLENGTH); std::reverse(by+0, by+PUBLIC_KEYLENGTH); + + AccessPublicKey().AssignFrom(MakeParameters + (Name::PublicElement(), ConstByteArrayParameter(by, PUBLIC_KEYLENGTH, false))); +} + +ed25519Verifier::ed25519Verifier(BufferedTransformation ¶ms) +{ + // TODO: Fix the on-disk format once we determine what it is. + BERSequenceDecoder seq(params); + + size_t read; + BERSequenceDecoder pk(seq, OCTET_STRING); + + CRYPTOPP_ASSERT(pk.MaxRetrievable() >= PUBLIC_KEYLENGTH); + read = pk.Get(m_key.m_pk, PUBLIC_KEYLENGTH); + + pk.MessageEnd(); + + if (read != PUBLIC_KEYLENGTH) + throw BERDecodeErr(); + + seq.MessageEnd(); +} + +ed25519Verifier::ed25519Verifier(const ed25519Signer& signer) +{ + const ed25519PrivateKey& priv = static_cast(signer.GetPrivateKey()); + priv.MakePublicKey(AccessPublicKey()); +} + +bool ed25519Verifier::VerifyAndRestart(PK_MessageAccumulator &messageAccumulator) const +{ + ed25519_MessageAccumulator& accum = static_cast(messageAccumulator); + const ed25519PublicKey& pk = static_cast(GetPublicKey()); + int ret = Donna::ed25519_sign_open(accum.data(), accum.size(), pk.m_pk.begin(), accum.signature()); + accum.Restart(); + + return ret == 0; } NAMESPACE_END // CryptoPP diff --git a/xed25519.h b/xed25519.h index 0c049db7..6db7b431 100644 --- a/xed25519.h +++ b/xed25519.h @@ -1,46 +1,63 @@ // xed25519.h - written and placed in public domain by Jeffrey Walton // Crypto++ specific implementation wrapped around Andrew -// Moon's public domain curve25519-donna. Also see -// https://github.com/floodyberry/curve25519-donna. +// Moon's public domain curve25519-donna and ed25519-donna, +// https://github.com/floodyberry/curve25519-donna and +// https://github.com/floodyberry/ed25519-donna. // Typically the key agreement classes encapsulate their data more -// than x25519 does below. We made them a little more accessible -// due to crypto_box operations. Once the library cuts-in the -// crypto_box operations the x25519 class will be more restricted. +// than x25519 does below. They are a little more accessible +// due to crypto_box operations. + /// \file xed25519.h /// \brief Classes for x25519 and ed25519 operations -/// \details This implementation integrates Andrew Moon's public domain -/// curve25519-donna. -/// \sa Andrew Moon's GitHub curve25519-donna +/// \details This implementation integrates Andrew Moon's public domain code +/// for curve25519-donna and ed25519-donna. +/// \details Moving keys into and out of the library proceeds as follows. +/// If an Integer class is accepted or returned, then the data is in big +/// endian format. That is, the MSB is at byte position 0, and the LSB +/// is at byte position 31. The Integer will work as expected, just like +/// an int or a long. +/// \details If a byte array is accepted, then the byte array is in little +/// endian format. That is, the LSB is at byte position 0, and the MSB is +/// at byte position 31. This follows the implementation where byte 0 is +/// clamed with 248. That is my_arr[0] &= 248 to mask the lower 3 bits. +/// \details PKCS8 and X509 keys encoded using ASN.1 follow little endian +/// arrays. The format is specified in draft-ietf-curdle-pkix. +/// \details If you have a little endian array and you want to wrap it in +/// an Integer using big endian then you can perform the following: +/// 
Integer x(my_arr, SECRET_KEYLENGTH, UNSIGNED, LITTLE_ENDIAN_ORDER);
+/// \sa Andrew Moon's x22519 GitHub curve25519-donna, +/// ed22519 GitHub ed25519-donna, and +/// draft-ietf-curdle-pkix /// \since Crypto++ 8.0 #ifndef CRYPTOPP_XED25519_H #define CRYPTOPP_XED25519_H #include "cryptlib.h" +#include "pubkey.h" +#include "oids.h" NAMESPACE_BEGIN(CryptoPP) class Integer; +struct ed25519Signer; +struct ed25519Verifier; + +// ******************** x25519 Agreement ************************* // /// \brief x25519 with key validation /// \since Crypto++ 8.0 -class x25519 : public SimpleKeyAgreementDomain, public CryptoParameters +class x25519 : public SimpleKeyAgreementDomain, public CryptoParameters, public PKCS8PrivateKey { public: - /// \brief Test if a key is clamped - /// \param x private key - static bool IsClamped(const byte x[32]); - - /// \brief Test if a key has small order - /// \param y public key - static bool IsSmallOrder(const byte y[32]); - - /// \brief Test if a key is clamped - /// \param x private key - static void ClampKey(byte x[32]); + CRYPTOPP_CONSTANT(SECRET_KEYLENGTH = 32) + CRYPTOPP_CONSTANT(PUBLIC_KEYLENGTH = 32) + CRYPTOPP_CONSTANT(SHARED_KEYLENGTH = 32) virtual ~x25519() {} @@ -49,13 +66,13 @@ public: /// \param x private key /// \details This constructor creates a x25519 object using existing parameters. /// \note The public key is not validated. - x25519(const byte y[32], const byte x[32]); + x25519(const byte y[PUBLIC_KEYLENGTH], const byte x[SECRET_KEYLENGTH]); /// \brief Create a x25519 object /// \param x private key /// \details This constructor creates a x25519 object using existing parameters. /// The public key is calculated from the private key. - x25519(const byte x[32]); + x25519(const byte x[SECRET_KEYLENGTH]); /// \brief Create a x25519 object /// \param y public key @@ -82,28 +99,474 @@ public: /// \note The public key is not validated. x25519(BufferedTransformation ¶ms); - /// \brief Decode a x25519 object - /// \param params serialized object - /// \details DEREncode() writes the public and private key as an ASN.1 structure. - /// The private key is written first as a BIT_STRING. The public key - /// is written second as an OCTET_STRING. - void DEREncode(BufferedTransformation ¶ms) const; + /// \brief Create a x25519 object + /// \param oid an object identifier + /// \details This constructor creates a new x25519 using the specified OID. The public + /// and private points are uninitialized. + x25519(const OID &oid); + /// \brief Clamp a private key + /// \param y public key + /// \param x private key + /// \details ClampKeys() clamps a private key and then regenerates the + /// public key from the private key. + void ClampKeys(byte y[PUBLIC_KEYLENGTH], byte x[SECRET_KEYLENGTH]) const; + + /// \brief Test if a key is clamped + /// \param x private key + bool IsClamped(const byte x[SECRET_KEYLENGTH]) const; + + /// \brief Test if a key has small order + /// \param y public key + bool IsSmallOrder(const byte y[PUBLIC_KEYLENGTH]) const; + + /// \Brief Get the Object Identifier + /// \returns the Object Identifier + /// \details The default OID is from RFC 8410 using id-X25519. + /// The default private key format is RFC 5208. + OID GetAlgorithmID() const { + return m_oid.Empty() ? ASN1::X25519() : m_oid; + } + + /// \Brief Set the Object Identifier + /// \param oid the new Object Identifier + void SetAlgorithmID(const OID& oid) { + m_oid = oid; + } + + // CryptoParameters bool Validate(RandomNumberGenerator &rng, unsigned int level) const; bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const; void AssignFrom(const NameValuePairs &source); + + // CryptoParameters CryptoParameters & AccessCryptoParameters() {return *this;} - unsigned int AgreedValueLength() const {return 32;} - unsigned int PrivateKeyLength() const {return 32;} - unsigned int PublicKeyLength() const {return 32;} + /// \brief DER encode ASN.1 object + /// \param bt BufferedTransformation object + /// \details Save() will write the OID associated with algorithm or scheme. + /// In the case of public and private keys, this function writes the + /// subjectPubicKeyInfo parts. + /// \details The default OID is from RFC 8410 using id-X25519. + /// The default private key format is RFC 5208, which is the old format. + /// The old format provides the best interop, and keys will work + /// with OpenSSL. + void Save(BufferedTransformation &bt) const { + DEREncode(bt, 0); + } + /// \brief DER encode ASN.1 object + /// \param bt BufferedTransformation object + /// \param v0 flag indicating v0 + /// \details Save() will write the OID associated with algorithm or scheme. + /// In the case of public and private keys, this function writes the + /// subjectPubicKeyInfo parts. + /// \details The default OID is from RFC 8410 using id-X25519. + /// The default private key format is RFC 5208. + /// \details v0 means version 0 INTEGER is written. Version 0 means + /// RFC 5208 format, which is the old format. The old format provides + /// the best interop, and keys will work with OpenSSL. The the other + /// option is using version 1 INTEGER. Version 1 means RFC 5958 format, + /// which is the new format. + void Save(BufferedTransformation &bt, bool v0) const { + DEREncode(bt, v0 ? 0 : 1); + } + + /// \brief BER decode ASN.1 object + /// \param bt BufferedTransformation object + void Load(BufferedTransformation &bt) { + BERDecode(bt); + } + + // PKCS8PrivateKey + void BERDecode(BufferedTransformation &bt); + void DEREncode(BufferedTransformation &bt) const { DEREncode(bt, 0); } + void DEREncode(BufferedTransformation &bt, int version) const; + void BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t size); + void DEREncodePrivateKey(BufferedTransformation &bt) const; + + // Hack because multiple OIDs are available + void BERDecodeAndCheckAlgorithmID(BufferedTransformation& bt); + + // DL_PrivateKey + void GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs ¶ms); + + // SimpleKeyAgreementDomain + unsigned int AgreedValueLength() const {return SHARED_KEYLENGTH;} + unsigned int PrivateKeyLength() const {return SECRET_KEYLENGTH;} + unsigned int PublicKeyLength() const {return PUBLIC_KEYLENGTH;} + + // SimpleKeyAgreementDomain void GeneratePrivateKey(RandomNumberGenerator &rng, byte *privateKey) const; void GeneratePublicKey(RandomNumberGenerator &rng, const byte *privateKey, byte *publicKey) const; bool Agree(byte *agreedValue, const byte *privateKey, const byte *otherPublicKey, bool validateOtherPublicKey=true) const; -private: - FixedSizeSecBlock m_sk, m_pk; +protected: + FixedSizeSecBlock m_sk; + FixedSizeSecBlock m_pk; + OID m_oid; // preferred OID +}; + +// ****************** ed25519 Signer *********************** // + +struct ed25519_MessageAccumulator : public PK_MessageAccumulator +{ + CRYPTOPP_CONSTANT(RESERVE_SIZE=2048+64) + CRYPTOPP_CONSTANT(SIGNATURE_LENGTH=64) + + ed25519_MessageAccumulator() { + Restart(); + } + + ed25519_MessageAccumulator(RandomNumberGenerator &rng) { + CRYPTOPP_UNUSED(rng); Restart(); + } + + void Update(const byte* msg, size_t len) { + if (msg && len) + m_msg.insert(m_msg.end(), msg, msg+len); + } + + void Restart() { + m_msg.reserve(RESERVE_SIZE); + m_msg.resize(SIGNATURE_LENGTH); + } + + byte* signature() { + return &m_msg[0]; + } + + const byte* signature() const { + return &m_msg[0]; + } + + const byte* data() const { + return &m_msg[0]+SIGNATURE_LENGTH; + } + + size_t size() const { + return m_msg.size()-SIGNATURE_LENGTH; + } + +protected: + // TODO: Find an equivalent Crypto++ structure. + std::vector > m_msg; +}; + +struct ed25519PrivateKey : public PKCS8PrivateKey +{ + CRYPTOPP_CONSTANT(SECRET_KEYLENGTH = 32) + CRYPTOPP_CONSTANT(PUBLIC_KEYLENGTH = 32) + CRYPTOPP_CONSTANT(SIGNATURE_LENGTH = 64) + + // CryptoMaterial + bool Validate(RandomNumberGenerator &rng, unsigned int level) const; + bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const; + void AssignFrom(const NameValuePairs &source); + + // GroupParameters + OID GetAlgorithmID() const { + return m_oid.Empty() ? ASN1::Ed25519() : m_oid; + } + + /// \brief DER encode ASN.1 object + /// \param bt BufferedTransformation object + /// \details Save() will write the OID associated with algorithm or scheme. + /// In the case of public and private keys, this function writes the + /// subjectPubicKeyInfo parts. + /// \details The default OID is from RFC 8410 using id-X25519. + /// The default private key format is RFC 5208, which is the old format. + /// The old format provides the best interop, and keys will work + /// with OpenSSL. + void Save(BufferedTransformation &bt) const { + DEREncode(bt, 0); + } + + /// \brief DER encode ASN.1 object + /// \param bt BufferedTransformation object + /// \param v0 flag indicating v0 + /// \details Save() will write the OID associated with algorithm or scheme. + /// In the case of public and private keys, this function writes the + /// subjectPubicKeyInfo parts. + /// \details The default OID is from RFC 8410 using id-Ed25519. + /// The default private key format is RFC 5208. + /// \details v0 means version 0 INTEGER is written. Version 0 means + /// RFC 5208 format, which is the old format. The old format provides + /// the best interop, and keys will work with OpenSSL. The the other + /// option is using version 1 INTEGER. Version 1 means RFC 5958 format, + /// which is the new format. + void Save(BufferedTransformation &bt, bool v0) const { + DEREncode(bt, v0 ? 0 : 1); + } + + /// \brief BER decode ASN.1 object + /// \param bt BufferedTransformation object + void Load(BufferedTransformation &bt) { + BERDecode(bt); + } + + /// \brief Initializes a public key from this key + /// \param pub reference to a public key + void MakePublicKey(PublicKey &pub) const; + + // PKCS8PrivateKey + void BERDecode(BufferedTransformation &bt); + void DEREncode(BufferedTransformation &bt) const { DEREncode(bt, 0); } + void DEREncode(BufferedTransformation &bt, int version) const; + void BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t size); + void DEREncodePrivateKey(BufferedTransformation &bt) const; + + // Hack because multiple OIDs are available + void BERDecodeAndCheckAlgorithmID(BufferedTransformation& bt); + + // PKCS8PrivateKey + void GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs ¶ms); + void SetPrivateExponent(const byte x[SECRET_KEYLENGTH]); + void SetPrivateExponent(const Integer &x); + const Integer& GetPrivateExponent() const; + + /// \brief Clamp a private key + /// \param y public key + /// \param x private key + /// \details ClampKeys() clamps a private key and then regenerates the + /// public key from the private key. + void ClampKeys(byte y[PUBLIC_KEYLENGTH], byte x[SECRET_KEYLENGTH]) const; + + /// \brief Test if a key is clamped + /// \param x private key + bool IsClamped(const byte x[SECRET_KEYLENGTH]) const; + + FixedSizeSecBlock m_sk; + FixedSizeSecBlock m_pk; + OID m_oid; // preferred OID + mutable Integer m_x; // for DL_PrivateKey +}; + +/// \brief ed25519 signature algorithm +/// \since Crypto++ 8.0 +struct ed25519Signer : public PK_Signer +{ + CRYPTOPP_CONSTANT(SECRET_KEYLENGTH = 32) + CRYPTOPP_CONSTANT(PUBLIC_KEYLENGTH = 32) + CRYPTOPP_CONSTANT(SIGNATURE_LENGTH = 64) + typedef Integer Element; + + virtual ~ed25519Signer() {} + + /// \brief Create a ed25519Signer object + ed25519Signer() {} + + /// \brief Create a ed25519Signer object + /// \param y public key + /// \param x private key + /// \details This constructor creates a ed25519Signer object using existing parameters. + /// \note The public key is not validated. + ed25519Signer(const byte y[PUBLIC_KEYLENGTH], const byte x[SECRET_KEYLENGTH]); + + /// \brief Create a ed25519Signer object + /// \param x private key + /// \details This constructor creates a ed25519Signer object using existing parameters. + /// The public key is calculated from the private key. + ed25519Signer(const byte x[SECRET_KEYLENGTH]); + + /// \brief Create a ed25519Signer object + /// \param y public key + /// \param x private key + /// \details This constructor creates a ed25519Signer object using existing parameters. + /// \note The public key is not validated. + ed25519Signer(const Integer &y, const Integer &x); + + /// \brief Create a ed25519Signer object + /// \param x private key + /// \details This constructor creates a ed25519Signer object using existing parameters. + /// The public key is calculated from the private key. + ed25519Signer(const Integer &x); + + /// \brief Create a ed25519Signer object + /// \param rng RandomNumberGenerator derived class + /// \details This constructor creates a new ed25519Signer using the random number generator. + ed25519Signer(RandomNumberGenerator &rng); + + /// \brief Create a ed25519Signer object + /// \param params public and private key + /// \details This constructor creates a ed25519Signer object using existing parameters. + /// The params can be created with DEREncode. + /// \note The public key is not validated. + ed25519Signer(BufferedTransformation ¶ms); + + // DL_ObjectImplBase + PrivateKey& AccessKey() { return m_key; } + PrivateKey& AccessPrivateKey() { return m_key; } + + const PrivateKey& GetKey() const { return m_key; } + const PrivateKey& GetPrivateKey() const { return m_key; } + + // DL_SignatureSchemeBase + size_t SignatureLength() const { return SIGNATURE_LENGTH; } + size_t MaxRecoverableLength() const { return 0; } + size_t MaxRecoverableLengthFromSignatureLength(size_t signatureLength) const { + CRYPTOPP_UNUSED(signatureLength); return 0; + } + + bool IsProbabilistic() const { return false; } + bool AllowNonrecoverablePart() const { return false; } + bool RecoverablePartFirst() const { return false; } + + PK_MessageAccumulator* NewSignatureAccumulator(RandomNumberGenerator &rng) const { + return new ed25519_MessageAccumulator(rng); + } + + void InputRecoverableMessage(PK_MessageAccumulator &messageAccumulator, const byte *recoverableMessage, size_t recoverableMessageLength) const { + CRYPTOPP_UNUSED(messageAccumulator); CRYPTOPP_UNUSED(recoverableMessage); + CRYPTOPP_UNUSED(recoverableMessageLength); + throw NotImplemented("ed25519Signer: this object does not support recoverable messages"); + } + + size_t SignAndRestart(RandomNumberGenerator &rng, PK_MessageAccumulator &messageAccumulator, byte *signature, bool restart) const; + +protected: + ed25519PrivateKey m_key; +}; + +// ****************** ed25519 Verifier *********************** // + +struct ed25519PublicKey : public X509PublicKey +{ + CRYPTOPP_CONSTANT(PUBLIC_KEYLENGTH = 32) + typedef Integer Element; + + OID GetAlgorithmID() const { + return m_oid.Empty() ? ASN1::Ed25519() : m_oid; + } + + /// \brief DER encode ASN.1 object + /// \param bt BufferedTransformation object + /// \details Save() will write the OID associated with algorithm or scheme. + /// In the case of public and private keys, this function writes the + /// subjectPubicKeyInfo parts. + /// \details The default OID is from RFC 8410 using id-X25519. + /// The default private key format is RFC 5208, which is the old format. + /// The old format provides the best interop, and keys will work + /// with OpenSSL. + void Save(BufferedTransformation &bt) const { + BEREncode(bt); + } + + /// \brief BER decode ASN.1 object + /// \param bt BufferedTransformation object + void Load(BufferedTransformation &bt) { + BERDecode(bt); + } + + // X509PublicKey + void BERDecode(BufferedTransformation &bt); + void DEREncode(BufferedTransformation &bt) const; + void BERDecodePublicKey(BufferedTransformation &bt, bool parametersPresent, size_t size); + void DEREncodePublicKey(BufferedTransformation &bt) const; + + // Hack because multiple OIDs are available + void BERDecodeAndCheckAlgorithmID(BufferedTransformation& bt); + + bool Validate(RandomNumberGenerator &rng, unsigned int level) const; + bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const; + void AssignFrom(const NameValuePairs &source); + + // DL_PublicKey + void SetPublicElement(const byte y[PUBLIC_KEYLENGTH]); + void SetPublicElement(const Element &y); + const Element& GetPublicElement() const; + + FixedSizeSecBlock m_pk; + OID m_oid; // preferred OID + mutable Integer m_y; // for DL_PublicKey +}; + +/// \brief ed25519 signature verification algorithm +/// \since Crypto++ 8.0 +struct ed25519Verifier : public PK_Verifier +{ + CRYPTOPP_CONSTANT(PUBLIC_KEYLENGTH = 32) + CRYPTOPP_CONSTANT(SIGNATURE_LENGTH = 64) + typedef Integer Element; + + virtual ~ed25519Verifier() {} + + /// \brief Create a ed25519Verifier object + ed25519Verifier() {} + + /// \brief Create a ed25519Verifier object + /// \param y public key + /// \details This constructor creates a ed25519Verifier object using existing parameters. + /// \note The public key is not validated. + ed25519Verifier(const byte y[PUBLIC_KEYLENGTH]); + + /// \brief Create a ed25519Verifier object + /// \param y public key + /// \details This constructor creates a ed25519Verifier object using existing parameters. + /// \note The public key is not validated. + ed25519Verifier(const Integer &y); + + /// \brief Create a ed25519Verifier object + /// \param params public and private key + /// \details This constructor creates a ed25519Verifier object using existing parameters. + /// The params can be created with DEREncode. + /// \note The public key is not validated. + ed25519Verifier(BufferedTransformation ¶ms); + + /// \brief Create a ed25519Verifier object + /// \param signer ed25519 signer object + /// \details This constructor creates a ed25519Verifier object using existing parameters. + /// The params can be created with DEREncode. + /// \note The public key is not validated. + ed25519Verifier(const ed25519Signer& signer); + + // DL_ObjectImplBase + PublicKey& AccessKey() { return m_key; } + PublicKey& AccessPublicKey() { return m_key; } + + const PublicKey& GetKey() const { return m_key; } + const PublicKey& GetPublicKey() const { return m_key; } + + // DL_SignatureSchemeBase + size_t SignatureLength() const { return SIGNATURE_LENGTH; } + size_t MaxRecoverableLength() const { return 0; } + size_t MaxRecoverableLengthFromSignatureLength(size_t signatureLength) const { + CRYPTOPP_UNUSED(signatureLength); return 0; + } + + bool IsProbabilistic() const { return false; } + bool AllowNonrecoverablePart() const { return false; } + bool RecoverablePartFirst() const { return false; } + + ed25519_MessageAccumulator* NewVerificationAccumulator() const { + return new ed25519_MessageAccumulator; + } + + void InputSignature(PK_MessageAccumulator &messageAccumulator, const byte *signature, size_t signatureLength) const { + CRYPTOPP_ASSERT(signature != NULLPTR); + CRYPTOPP_ASSERT(signatureLength == SIGNATURE_LENGTH); + ed25519_MessageAccumulator& accum = static_cast(messageAccumulator); + if (signature && signatureLength) + std::memcpy(accum.signature(), signature, STDMIN((size_t)SIGNATURE_LENGTH, signatureLength)); + } + + bool VerifyAndRestart(PK_MessageAccumulator &messageAccumulator) const; + + DecodingResult RecoverAndRestart(byte *recoveredMessage, PK_MessageAccumulator &messageAccumulator) const { + CRYPTOPP_UNUSED(recoveredMessage); CRYPTOPP_UNUSED(messageAccumulator); + throw NotImplemented("ed25519Verifier: this object does not support recoverable messages"); + } + +protected: + ed25519PublicKey m_key; +}; + +/// \brief ed25519 signature scheme +/// \since Crypto++ 8.0 +struct ed25519 +{ + typedef ed25519Signer Signer; + typedef ed25519Verifier Verifier; }; NAMESPACE_END // CryptoPP