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-rw-r--r--src/build-data/oids.txt1
-rw-r--r--src/build-data/policy/modern.txt1
-rw-r--r--src/cli/speed.cpp29
-rw-r--r--src/lib/asn1/oids.cpp4
-rw-r--r--src/lib/ffi/ffi.cpp98
-rw-r--r--src/lib/ffi/ffi.h16
-rw-r--r--src/lib/pubkey/ed25519/ed25519.cpp96
-rw-r--r--src/lib/pubkey/ed25519/ed25519.h118
-rw-r--r--src/lib/pubkey/ed25519/ed25519_fe.cpp903
-rw-r--r--src/lib/pubkey/ed25519/ed25519_fe.h228
-rw-r--r--src/lib/pubkey/ed25519/ed25519_internal.h76
-rw-r--r--src/lib/pubkey/ed25519/ed25519_key.cpp253
-rw-r--r--src/lib/pubkey/ed25519/ge.cpp2174
-rw-r--r--src/lib/pubkey/ed25519/info.txt17
-rw-r--r--src/lib/pubkey/ed25519/sc_muladd.cpp498
-rw-r--r--src/lib/pubkey/ed25519/sc_reduce.cpp359
-rw-r--r--src/lib/pubkey/pk_algs.cpp21
-rw-r--r--src/tests/data/pubkey/ed25519.vec3308
-rw-r--r--src/tests/test_ed25519.cpp55
-rw-r--r--src/tests/test_ffi.cpp68
20 files changed, 8322 insertions, 1 deletions
diff --git a/src/build-data/oids.txt b/src/build-data/oids.txt
index 0ebfcf8d6..57df53462 100644
--- a/src/build-data/oids.txt
+++ b/src/build-data/oids.txt
@@ -10,6 +10,7 @@
1.3.6.1.4.1.25258.1.3 = McEliece
1.3.6.1.4.1.25258.1.4 = Curve25519
1.3.6.1.4.1.25258.1.5 = XMSS
+1.3.6.1.4.1.25258.1.6 = Ed25519
# X9.62 ecPublicKey, valid for ECDSA and ECDH (RFC 3279 sec 2.3.5)
1.2.840.10045.2.1 = ECDSA
diff --git a/src/build-data/policy/modern.txt b/src/build-data/policy/modern.txt
index def5da2b8..c437f05ab 100644
--- a/src/build-data/policy/modern.txt
+++ b/src/build-data/policy/modern.txt
@@ -48,6 +48,7 @@ ffi
tls
prf_tls
newhope
+ed25519
clmul
locking_allocator
diff --git a/src/cli/speed.cpp b/src/cli/speed.cpp
index a494e2a77..296b4b07a 100644
--- a/src/cli/speed.cpp
+++ b/src/cli/speed.cpp
@@ -88,6 +88,10 @@
#include <botan/ecgdsa.h>
#endif
+#if defined(BOTAN_HAS_ED25519)
+ #include <botan/ed25519.h>
+#endif
+
#if defined(BOTAN_HAS_DIFFIE_HELLMAN)
#include <botan/dh.h>
#endif
@@ -403,6 +407,7 @@ std::vector<std::string> default_benchmark_list()
"ECDSA",
"ECKCDSA",
"ECGDSA",
+ "Ed25519",
"Curve25519",
"NEWHOPE",
"McEliece",
@@ -506,6 +511,12 @@ class Speed final : public Command
bench_ecgdsa(ecc_groups, provider, msec);
}
#endif
+#if defined(BOTAN_HAS_ED25519)
+ else if(algo == "Ed25519")
+ {
+ bench_ed25519(provider, msec);
+ }
+#endif
#if defined(BOTAN_HAS_DIFFIE_HELLMAN)
else if(algo == "DH")
{
@@ -1398,6 +1409,24 @@ class Speed final : public Command
}
#endif
+#if defined(BOTAN_HAS_ED25519)
+ void bench_ed25519(const std::string& provider,
+ std::chrono::milliseconds msec)
+ {
+ const std::string nm = "Ed25519";
+
+ Timer keygen_timer(nm, provider, "keygen");
+
+ std::unique_ptr<Botan::Private_Key> key(keygen_timer.run([&]
+ {
+ return new Botan::Ed25519_PrivateKey(rng());
+ }));
+
+ output() << Timer::result_string_ops(keygen_timer);
+ bench_pk_sig(*key, nm, provider, "Pure", msec);
+ }
+#endif
+
#if defined(BOTAN_HAS_DIFFIE_HELLMAN)
void bench_dh(const std::string& provider,
std::chrono::milliseconds msec)
diff --git a/src/lib/asn1/oids.cpp b/src/lib/asn1/oids.cpp
index 17bfb9f1c..26e98ed6f 100644
--- a/src/lib/asn1/oids.cpp
+++ b/src/lib/asn1/oids.cpp
@@ -1,7 +1,7 @@
/*
* OID maps
*
-* This file was automatically generated by ./src/scripts/oids.py on 2017-05-19
+* This file was automatically generated by ./src/scripts/oids.py on 2017-06-07
*
* All manual edits to this file will be lost. Edit the script
* then regenerate this source file.
@@ -104,6 +104,7 @@ std::string lookup(const OID& oid)
if(oid_str == "1.3.6.1.4.1.25258.1.3") return "McEliece";
if(oid_str == "1.3.6.1.4.1.25258.1.4") return "Curve25519";
if(oid_str == "1.3.6.1.4.1.25258.1.5") return "XMSS";
+ if(oid_str == "1.3.6.1.4.1.25258.1.6") return "Ed25519";
if(oid_str == "1.3.6.1.4.1.25258.1.6.1") return "GOST-34.10/EMSA1(SHA-256)";
if(oid_str == "1.3.6.1.4.1.25258.3.1") return "Serpent/CBC";
if(oid_str == "1.3.6.1.4.1.25258.3.101") return "Serpent/GCM";
@@ -260,6 +261,7 @@ OID lookup(const std::string& name)
if(name == "ECKCDSA/EMSA1(SHA-1)") return OID("1.2.410.200004.1.100.4.3");
if(name == "ECKCDSA/EMSA1(SHA-224)") return OID("1.2.410.200004.1.100.4.4");
if(name == "ECKCDSA/EMSA1(SHA-256)") return OID("1.2.410.200004.1.100.4.5");
+ if(name == "Ed25519") return OID("1.3.6.1.4.1.25258.1.6");
if(name == "ElGamal") return OID("1.3.6.1.4.1.3029.1.2.1");
if(name == "GOST-34.10") return OID("1.2.643.2.2.19");
if(name == "GOST-34.10/EMSA1(GOST-R-34.11-94)") return OID("1.2.643.2.2.3");
diff --git a/src/lib/ffi/ffi.cpp b/src/lib/ffi/ffi.cpp
index 0ffb01b19..d7f164b86 100644
--- a/src/lib/ffi/ffi.cpp
+++ b/src/lib/ffi/ffi.cpp
@@ -61,6 +61,10 @@
#include <botan/curve25519.h>
#endif
+#if defined(BOTAN_HAS_ED25519)
+ #include <botan/ed25519.h>
+#endif
+
#if defined(BOTAN_HAS_MCELIECE)
#include <botan/mceliece.h>
#endif
@@ -1601,6 +1605,100 @@ int botan_privkey_load_elgamal(botan_privkey_t* key,
#endif
}
+int botan_privkey_load_ed25519(botan_privkey_t* key,
+ const uint8_t privkey[32])
+ {
+#if defined(BOTAN_HAS_ED25519)
+ *key = nullptr;
+ try
+ {
+ const Botan::secure_vector<uint8_t> privkey_vec(privkey, privkey + 32);
+ *key = new botan_privkey_struct(new Botan::Ed25519_PrivateKey(privkey_vec));
+ return 0;
+ }
+ catch(std::exception& exn)
+ {
+ log_exception(BOTAN_CURRENT_FUNCTION, exn.what());
+ }
+
+ return -1;
+#else
+ BOTAN_UNUSED(key, privkey);
+ return BOTAN_FFI_ERROR_NOT_IMPLEMENTED;
+#endif
+ }
+
+int botan_pubkey_load_ed25519(botan_pubkey_t* key,
+ const uint8_t pubkey[32])
+ {
+#if defined(BOTAN_HAS_ED25519)
+ *key = nullptr;
+ try
+ {
+ const std::vector<uint8_t> pubkey_vec(pubkey, pubkey + 32);
+ *key = new botan_pubkey_struct(new Botan::Ed25519_PublicKey(pubkey_vec));
+ return 0;
+ }
+ catch(std::exception& exn)
+ {
+ log_exception(BOTAN_CURRENT_FUNCTION, exn.what());
+ }
+
+ return -1;
+#else
+ BOTAN_UNUSED(key, pubkey);
+ return BOTAN_FFI_ERROR_NOT_IMPLEMENTED;
+#endif
+ }
+
+int botan_privkey_ed25519_get_privkey(botan_privkey_t key,
+ uint8_t output[64])
+ {
+#if defined(BOTAN_HAS_ED25519)
+ return BOTAN_FFI_DO(Botan::Private_Key, key, k, {
+ if(Botan::Ed25519_PrivateKey* ed = dynamic_cast<Botan::Ed25519_PrivateKey*>(&k))
+ {
+ const Botan::secure_vector<uint8_t>& key = ed->get_private_key();
+ if(key.size() != 64)
+ return BOTAN_FFI_ERROR_INSUFFICIENT_BUFFER_SPACE;
+ Botan::copy_mem(output, key.data(), key.size());
+ return 0;
+ }
+ else
+ {
+ return -1;
+ }
+ });
+#else
+ BOTAN_UNUSED(key, output);
+ return BOTAN_FFI_ERROR_NOT_IMPLEMENTED;
+#endif
+ }
+
+int botan_pubkey_ed25519_get_pubkey(botan_pubkey_t key,
+ uint8_t output[32])
+ {
+#if defined(BOTAN_HAS_ED25519)
+ return BOTAN_FFI_DO(Botan::Public_Key, key, k, {
+ if(Botan::Ed25519_PublicKey* ed = dynamic_cast<Botan::Ed25519_PublicKey*>(&k))
+ {
+ const std::vector<uint8_t>& key = ed->get_public_key();
+ if(key.size() != 32)
+ return BOTAN_FFI_ERROR_INSUFFICIENT_BUFFER_SPACE;
+ Botan::copy_mem(output, key.data(), key.size());
+ return 0;
+ }
+ else
+ {
+ return -1;
+ }
+ });
+#else
+ BOTAN_UNUSED(key, output);
+ return BOTAN_FFI_ERROR_NOT_IMPLEMENTED;
+#endif
+ }
+
int botan_pubkey_get_field(botan_mp_t output,
botan_pubkey_t key,
const char* field_name_cstr)
diff --git a/src/lib/ffi/ffi.h b/src/lib/ffi/ffi.h
index 380d3a9ed..3e64c69cd 100644
--- a/src/lib/ffi/ffi.h
+++ b/src/lib/ffi/ffi.h
@@ -846,6 +846,22 @@ BOTAN_DLL int botan_privkey_load_elgamal(botan_privkey_t* key,
botan_mp_t x);
/*
+* Algorithm specific key operations: Ed25519
+*/
+
+BOTAN_DLL int botan_privkey_load_ed25519(botan_privkey_t* key,
+ const uint8_t privkey[32]);
+
+BOTAN_DLL int botan_pubkey_load_ed25519(botan_pubkey_t* key,
+ const uint8_t pubkey[32]);
+
+BOTAN_DLL int botan_privkey_ed25519_get_privkey(botan_privkey_t key,
+ uint8_t output[64]);
+
+BOTAN_DLL int botan_pubkey_ed25519_get_pubkey(botan_pubkey_t key,
+ uint8_t pubkey[32]);
+
+/*
* Public Key Encryption
*/
typedef struct botan_pk_op_encrypt_struct* botan_pk_op_encrypt_t;
diff --git a/src/lib/pubkey/ed25519/ed25519.cpp b/src/lib/pubkey/ed25519/ed25519.cpp
new file mode 100644
index 000000000..13f75ac3b
--- /dev/null
+++ b/src/lib/pubkey/ed25519/ed25519.cpp
@@ -0,0 +1,96 @@
+/*
+* Ed25519
+* (C) 2017 Ribose Inc
+*
+* Based on the public domain code from SUPERCOP ref10 by
+* Peter Schwabe, Daniel J. Bernstein, Niels Duif, Tanja Lange, Bo-Yin Yang
+*
+* Botan is released under the Simplified BSD License (see license.txt)
+*/
+
+#include <botan/ed25519.h>
+#include <botan/internal/ed25519_internal.h>
+#include <botan/sha2_64.h>
+
+namespace Botan {
+
+void ed25519_gen_keypair(uint8_t* pk, uint8_t* sk, const uint8_t seed[32])
+ {
+ uint8_t az[64];
+
+ SHA_512 sha;
+ sha.update(seed, 32);
+ sha.final(az);
+ az[0] &= 248;
+ az[31] &= 63;
+ az[31] |= 64;
+
+ ge_scalarmult_base(pk, az);
+
+ // todo copy_mem
+ memmove(sk, seed, 32);
+ memmove(sk + 32, pk, 32);
+ }
+
+void ed25519_sign(uint8_t sig[64],
+ const uint8_t* m, size_t mlen,
+ const uint8_t* sk)
+ {
+ uint8_t az[64];
+ uint8_t nonce[64];
+ uint8_t hram[64];
+
+ SHA_512 sha;
+
+ sha.update(sk, 32);
+ sha.final(az);
+ az[0] &= 248;
+ az[31] &= 63;
+ az[31] |= 64;
+
+ sha.update(az + 32, 32);
+ sha.update(m, mlen);
+ sha.final(nonce);
+
+ sc_reduce(nonce);
+ ge_scalarmult_base(sig, nonce);
+
+ sha.update(sig, 32);
+ sha.update(sk + 32, 32);
+ sha.update(m, mlen);
+ sha.final(hram);
+
+ sc_reduce(hram);
+ sc_muladd(sig + 32, hram, az, nonce);
+ }
+
+bool ed25519_verify(const uint8_t* m, size_t mlen,
+ const uint8_t sig[64],
+ const uint8_t* pk)
+ {
+ uint8_t h[64];
+ uint8_t rcheck[32];
+ ge_p3 A;
+ SHA_512 sha;
+
+ if(sig[63] & 224)
+ {
+ return false;
+ }
+ if(ge_frombytes_negate_vartime(&A, pk) != 0)
+ {
+ return false;
+ }
+
+ sha.update(sig, 32);
+ sha.update(pk, 32);
+ sha.update(m, mlen);
+ sha.final(h);
+ sc_reduce(h);
+
+ ge_double_scalarmult_vartime(rcheck, h, &A, sig + 32);
+
+ return same_mem(rcheck, sig, 32);
+ }
+
+}
diff --git a/src/lib/pubkey/ed25519/ed25519.h b/src/lib/pubkey/ed25519/ed25519.h
new file mode 100644
index 000000000..f098517a0
--- /dev/null
+++ b/src/lib/pubkey/ed25519/ed25519.h
@@ -0,0 +1,118 @@
+/*
+* Ed25519
+* (C) 2017 Ribose Inc
+*
+* Based on the public domain code from SUPERCOP ref10 by
+* Peter Schwabe, Daniel J. Bernstein, Niels Duif, Tanja Lange, Bo-Yin Yang
+*
+* Botan is released under the Simplified BSD License (see license.txt)
+*/
+
+#ifndef BOTAN_ED25519_H__
+#define BOTAN_ED25519_H__
+
+#include <botan/pk_keys.h>
+
+namespace Botan {
+
+class BOTAN_DLL Ed25519_PublicKey : public virtual Public_Key
+ {
+ public:
+ std::string algo_name() const override { return "Ed25519"; }
+
+ size_t estimated_strength() const override { return 128; }
+
+ size_t key_length() const override { return 255; }
+
+ bool check_key(RandomNumberGenerator& rng, bool strong) const override;
+
+ AlgorithmIdentifier algorithm_identifier() const override;
+
+ std::vector<uint8_t> public_key_bits() const override;
+
+ /**
+ * Create a Ed25519 Public Key.
+ * @param alg_id the X.509 algorithm identifier
+ * @param key_bits DER encoded public key bits
+ */
+ Ed25519_PublicKey(const AlgorithmIdentifier& alg_id,
+ const std::vector<uint8_t>& key_bits);
+
+ /**
+ * Create a Ed25519 Public Key.
+ * @param pub 32-byte raw public key
+ */
+ explicit Ed25519_PublicKey(const std::vector<uint8_t>& pub) : m_public(pub) {}
+
+ /**
+ * Create a Ed25519 Public Key.
+ * @param pub 32-byte raw public key
+ */
+ explicit Ed25519_PublicKey(const secure_vector<uint8_t>& pub) :
+ m_public(pub.begin(), pub.end()) {}
+
+ std::unique_ptr<PK_Ops::Verification>
+ create_verification_op(const std::string& params,
+ const std::string& provider) const override;
+
+ const std::vector<uint8_t>& get_public_key() const { return m_public; }
+
+ protected:
+ Ed25519_PublicKey() = default;
+ std::vector<uint8_t> m_public;
+ };
+
+class BOTAN_DLL Ed25519_PrivateKey : public Ed25519_PublicKey,
+ public virtual Private_Key
+ {
+ public:
+ /**
+ * Construct a private key from the specified parameters.
+ * @param alg_id the X.509 algorithm identifier
+ * @param key_bits PKCS #8 structure
+ */
+ Ed25519_PrivateKey(const AlgorithmIdentifier& alg_id,
+ const secure_vector<uint8_t>& key_bits);
+
+ /**
+ * Generate a private key.
+ * @param rng the RNG to use
+ */
+ explicit Ed25519_PrivateKey(RandomNumberGenerator& rng);
+
+ /**
+ * Construct a private key from the specified parameters.
+ * @param secret_key DER encoded private key bits
+ */
+ explicit Ed25519_PrivateKey(const secure_vector<uint8_t>& secret_key);
+
+ const secure_vector<uint8_t>& get_private_key() const { return m_private; }
+
+ secure_vector<uint8_t> private_key_bits() const override;
+
+ bool check_key(RandomNumberGenerator& rng, bool strong) const override;
+
+ std::unique_ptr<PK_Ops::Signature>
+ create_signature_op(RandomNumberGenerator& rng,
+ const std::string& params,
+ const std::string& provider) const override;
+
+ private:
+ secure_vector<uint8_t> m_private;
+ };
+
+void ed25519_gen_keypair(uint8_t pk[32], uint8_t sk[64], const uint8_t seed[32]);
+
+void ed25519_sign(uint8_t sig[64],
+ const uint8_t msg[],
+ size_t msg_len,
+ const uint8_t sk[64]);
+
+bool ed25519_verify(const uint8_t msg[],
+ size_t msg_len,
+ const uint8_t sig[64],
+ const uint8_t pk[32]);
+
+}
+
+#endif
diff --git a/src/lib/pubkey/ed25519/ed25519_fe.cpp b/src/lib/pubkey/ed25519/ed25519_fe.cpp
new file mode 100644
index 000000000..8087aaff1
--- /dev/null
+++ b/src/lib/pubkey/ed25519/ed25519_fe.cpp
@@ -0,0 +1,903 @@
+/*
+* Ed25519 field element
+* (C) 2017 Ribose Inc
+*
+* Based on the public domain code from SUPERCOP ref10 by
+* Peter Schwabe, Daniel J. Bernstein, Niels Duif, Tanja Lange, Bo-Yin Yang
+*
+* Botan is released under the Simplified BSD License (see license.txt)
+*/
+
+#include <botan/internal/ed25519_fe.h>
+#include <botan/internal/ed25519_internal.h>
+
+namespace Botan {
+
+//static
+FE_25519 FE_25519::invert(const FE_25519& z)
+ {
+ fe t0;
+ fe t1;
+ fe t2;
+ fe t3;
+
+ fe_sq(t0, z);
+ fe_sq_iter(t1, t0, 2);
+ fe_mul(t1, z, t1);
+ fe_mul(t0, t0, t1);
+ fe_sq(t2, t0);
+ fe_mul(t1, t1, t2);
+ fe_sq_iter(t2, t1, 5);
+ fe_mul(t1, t2, t1);
+ fe_sq_iter(t2, t1, 10);
+ fe_mul(t2, t2, t1);
+ fe_sq_iter(t3, t2, 20);
+ fe_mul(t2, t3, t2);
+ fe_sq_iter(t2, t2, 10);
+ fe_mul(t1, t2, t1);
+ fe_sq_iter(t2, t1, 50);
+ fe_mul(t2, t2, t1);
+ fe_sq_iter(t3, t2, 100);
+ fe_mul(t2, t3, t2);
+ fe_sq_iter(t2, t2, 50);
+ fe_mul(t1, t2, t1);
+ fe_sq_iter(t1, t1, 5);
+
+ fe_mul(t0, t1, t0);
+ return t0;
+ }
+
+FE_25519 FE_25519::pow_22523(const fe& z)
+ {
+ fe t0;
+ fe t1;
+ fe t2;
+
+ fe_sq(t0, z);
+ fe_sq_iter(t1, t0, 2);
+ fe_mul(t1, z, t1);
+ fe_mul(t0, t0, t1);
+ fe_sq(t0, t0);
+ fe_mul(t0, t1, t0);
+ fe_sq_iter(t1, t0, 5);
+ fe_mul(t0, t1, t0);
+ fe_sq_iter(t1, t0, 10);
+ fe_mul(t1, t1, t0);
+ fe_sq_iter(t2, t1, 20);
+ fe_mul(t1, t2, t1);
+ fe_sq_iter(t1, t1, 10);
+ fe_mul(t0, t1, t0);
+ fe_sq_iter(t1, t0, 50);
+ fe_mul(t1, t1, t0);
+ fe_sq_iter(t2, t1, 100);
+ fe_mul(t1, t2, t1);
+ fe_sq_iter(t1, t1, 50);
+ fe_mul(t0, t1, t0);
+ fe_sq_iter(t0, t0, 2);
+
+ fe_mul(t0, t0, z);
+ return t0;
+ }
+
+/*
+h = f * g
+Can overlap h with f or g.
+
+Preconditions:
+|f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
+|g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
+
+Postconditions:
+|h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
+*/
+
+/*
+Notes on implementation strategy:
+
+Using schoolbook multiplication.
+Karatsuba would save a little in some cost models.
+
+Most multiplications by 2 and 19 are 32-bit precomputations;
+cheaper than 64-bit postcomputations.
+
+There is one remaining multiplication by 19 in the carry chain;
+one *19 precomputation can be merged into this,
+but the resulting data flow is considerably less clean.
+
+There are 12 carries below.
+10 of them are 2-way parallelizable and vectorizable.
+Can get away with 11 carries, but then data flow is much deeper.
+
+With tighter constraints on inputs can squeeze carries into int32.
+*/
+
+//static
+FE_25519 FE_25519::mul(const FE_25519& f, const FE_25519& g)
+ {
+ int32_t f0 = f[0];
+ int32_t f1 = f[1];
+ int32_t f2 = f[2];
+ int32_t f3 = f[3];
+ int32_t f4 = f[4];
+ int32_t f5 = f[5];
+ int32_t f6 = f[6];
+ int32_t f7 = f[7];
+ int32_t f8 = f[8];
+ int32_t f9 = f[9];
+
+ int32_t g0 = g[0];
+ int32_t g1 = g[1];
+ int32_t g2 = g[2];
+ int32_t g3 = g[3];
+ int32_t g4 = g[4];
+ int32_t g5 = g[5];
+ int32_t g6 = g[6];
+ int32_t g7 = g[7];
+ int32_t g8 = g[8];
+ int32_t g9 = g[9];
+
+ int32_t g1_19 = 19 * g1; /* 1.959375*2^29 */
+ int32_t g2_19 = 19 * g2; /* 1.959375*2^30; still ok */
+ int32_t g3_19 = 19 * g3;
+ int32_t g4_19 = 19 * g4;
+ int32_t g5_19 = 19 * g5;
+ int32_t g6_19 = 19 * g6;
+ int32_t g7_19 = 19 * g7;
+ int32_t g8_19 = 19 * g8;
+ int32_t g9_19 = 19 * g9;
+ int32_t f1_2 = 2 * f1;
+ int32_t f3_2 = 2 * f3;
+ int32_t f5_2 = 2 * f5;
+ int32_t f7_2 = 2 * f7;
+ int32_t f9_2 = 2 * f9;
+ int64_t f0g0 = f0 * (int64_t) g0;
+ int64_t f0g1 = f0 * (int64_t) g1;
+ int64_t f0g2 = f0 * (int64_t) g2;
+ int64_t f0g3 = f0 * (int64_t) g3;
+ int64_t f0g4 = f0 * (int64_t) g4;
+ int64_t f0g5 = f0 * (int64_t) g5;
+ int64_t f0g6 = f0 * (int64_t) g6;
+ int64_t f0g7 = f0 * (int64_t) g7;
+ int64_t f0g8 = f0 * (int64_t) g8;
+ int64_t f0g9 = f0 * (int64_t) g9;
+ int64_t f1g0 = f1 * (int64_t) g0;
+ int64_t f1g1_2 = f1_2 * (int64_t) g1;
+ int64_t f1g2 = f1 * (int64_t) g2;
+ int64_t f1g3_2 = f1_2 * (int64_t) g3;
+ int64_t f1g4 = f1 * (int64_t) g4;
+ int64_t f1g5_2 = f1_2 * (int64_t) g5;
+ int64_t f1g6 = f1 * (int64_t) g6;
+ int64_t f1g7_2 = f1_2 * (int64_t) g7;
+ int64_t f1g8 = f1 * (int64_t) g8;
+ int64_t f1g9_38 = f1_2 * (int64_t) g9_19;
+ int64_t f2g0 = f2 * (int64_t) g0;
+ int64_t f2g1 = f2 * (int64_t) g1;
+ int64_t f2g2 = f2 * (int64_t) g2;
+ int64_t f2g3 = f2 * (int64_t) g3;
+ int64_t f2g4 = f2 * (int64_t) g4;
+ int64_t f2g5 = f2 * (int64_t) g5;
+ int64_t f2g6 = f2 * (int64_t) g6;
+ int64_t f2g7 = f2 * (int64_t) g7;
+ int64_t f2g8_19 = f2 * (int64_t) g8_19;
+ int64_t f2g9_19 = f2 * (int64_t) g9_19;
+ int64_t f3g0 = f3 * (int64_t) g0;
+ int64_t f3g1_2 = f3_2 * (int64_t) g1;
+ int64_t f3g2 = f3 * (int64_t) g2;
+ int64_t f3g3_2 = f3_2 * (int64_t) g3;
+ int64_t f3g4 = f3 * (int64_t) g4;
+ int64_t f3g5_2 = f3_2 * (int64_t) g5;
+ int64_t f3g6 = f3 * (int64_t) g6;
+ int64_t f3g7_38 = f3_2 * (int64_t) g7_19;
+ int64_t f3g8_19 = f3 * (int64_t) g8_19;
+ int64_t f3g9_38 = f3_2 * (int64_t) g9_19;
+ int64_t f4g0 = f4 * (int64_t) g0;
+ int64_t f4g1 = f4 * (int64_t) g1;
+ int64_t f4g2 = f4 * (int64_t) g2;
+ int64_t f4g3 = f4 * (int64_t) g3;
+ int64_t f4g4 = f4 * (int64_t) g4;
+ int64_t f4g5 = f4 * (int64_t) g5;
+ int64_t f4g6_19 = f4 * (int64_t) g6_19;
+ int64_t f4g7_19 = f4 * (int64_t) g7_19;
+ int64_t f4g8_19 = f4 * (int64_t) g8_19;
+ int64_t f4g9_19 = f4 * (int64_t) g9_19;
+ int64_t f5g0 = f5 * (int64_t) g0;
+ int64_t f5g1_2 = f5_2 * (int64_t) g1;
+ int64_t f5g2 = f5 * (int64_t) g2;
+ int64_t f5g3_2 = f5_2 * (int64_t) g3;
+ int64_t f5g4 = f5 * (int64_t) g4;
+ int64_t f5g5_38 = f5_2 * (int64_t) g5_19;
+ int64_t f5g6_19 = f5 * (int64_t) g6_19;
+ int64_t f5g7_38 = f5_2 * (int64_t) g7_19;
+ int64_t f5g8_19 = f5 * (int64_t) g8_19;
+ int64_t f5g9_38 = f5_2 * (int64_t) g9_19;
+ int64_t f6g0 = f6 * (int64_t) g0;
+ int64_t f6g1 = f6 * (int64_t) g1;
+ int64_t f6g2 = f6 * (int64_t) g2;
+ int64_t f6g3 = f6 * (int64_t) g3;
+ int64_t f6g4_19 = f6 * (int64_t) g4_19;
+ int64_t f6g5_19 = f6 * (int64_t) g5_19;
+ int64_t f6g6_19 = f6 * (int64_t) g6_19;
+ int64_t f6g7_19 = f6 * (int64_t) g7_19;
+ int64_t f6g8_19 = f6 * (int64_t) g8_19;
+ int64_t f6g9_19 = f6 * (int64_t) g9_19;
+ int64_t f7g0 = f7 * (int64_t) g0;
+ int64_t f7g1_2 = f7_2 * (int64_t) g1;
+ int64_t f7g2 = f7 * (int64_t) g2;
+ int64_t f7g3_38 = f7_2 * (int64_t) g3_19;
+ int64_t f7g4_19 = f7 * (int64_t) g4_19;
+ int64_t f7g5_38 = f7_2 * (int64_t) g5_19;
+ int64_t f7g6_19 = f7 * (int64_t) g6_19;
+ int64_t f7g7_38 = f7_2 * (int64_t) g7_19;
+ int64_t f7g8_19 = f7 * (int64_t) g8_19;
+ int64_t f7g9_38 = f7_2 * (int64_t) g9_19;
+ int64_t f8g0 = f8 * (int64_t) g0;
+ int64_t f8g1 = f8 * (int64_t) g1;
+ int64_t f8g2_19 = f8 * (int64_t) g2_19;
+ int64_t f8g3_19 = f8 * (int64_t) g3_19;
+ int64_t f8g4_19 = f8 * (int64_t) g4_19;
+ int64_t f8g5_19 = f8 * (int64_t) g5_19;
+ int64_t f8g6_19 = f8 * (int64_t) g6_19;
+ int64_t f8g7_19 = f8 * (int64_t) g7_19;
+ int64_t f8g8_19 = f8 * (int64_t) g8_19;
+ int64_t f8g9_19 = f8 * (int64_t) g9_19;
+ int64_t f9g0 = f9 * (int64_t) g0;
+ int64_t f9g1_38 = f9_2 * (int64_t) g1_19;
+ int64_t f9g2_19 = f9 * (int64_t) g2_19;
+ int64_t f9g3_38 = f9_2 * (int64_t) g3_19;
+ int64_t f9g4_19 = f9 * (int64_t) g4_19;
+ int64_t f9g5_38 = f9_2 * (int64_t) g5_19;
+ int64_t f9g6_19 = f9 * (int64_t) g6_19;
+ int64_t f9g7_38 = f9_2 * (int64_t) g7_19;
+ int64_t f9g8_19 = f9 * (int64_t) g8_19;
+ int64_t f9g9_38 = f9_2 * (int64_t) g9_19;
+ int64_t h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38;
+ int64_t h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19;
+ int64_t h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38;
+ int64_t h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19;
+ int64_t h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38;
+ int64_t h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19;
+ int64_t h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38;
+ int64_t h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19;
+ int64_t h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38;
+ int64_t h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ;
+ int64_t carry0;
+ int64_t carry1;
+ int64_t carry2;
+ int64_t carry3;
+ int64_t carry4;
+ int64_t carry5;
+ int64_t carry6;
+ int64_t carry7;
+ int64_t carry8;
+ int64_t carry9;
+
+ /*
+ |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38))
+ i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8
+ |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19))
+ i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9
+ */
+
+ carry0 = (h0 + (int64_t)(1<<25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 << 26;
+ carry4 = (h4 + (int64_t)(1<<25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 << 26;
+ /* |h0| <= 2^25 */
+ /* |h4| <= 2^25 */
+ /* |h1| <= 1.71*2^59 */
+ /* |h5| <= 1.71*2^59 */
+
+ carry1 = (h1 + (int64_t)(1<<24)) >> 25;
+ h2 += carry1;
+ h1 -= carry1 << 25;
+ carry5 = (h5 + (int64_t)(1<<24)) >> 25;
+ h6 += carry5;
+ h5 -= carry5 << 25;
+ /* |h1| <= 2^24; from now on fits into int32 */
+ /* |h5| <= 2^24; from now on fits into int32 */
+ /* |h2| <= 1.41*2^60 */
+ /* |h6| <= 1.41*2^60 */
+
+ carry2 = (h2 + (int64_t)(1<<25)) >> 26;
+ h3 += carry2;
+ h2 -= carry2 << 26;
+ carry6 = (h6 + (int64_t)(1<<25)) >> 26;
+ h7 += carry6;
+ h6 -= carry6 << 26;
+ /* |h2| <= 2^25; from now on fits into int32 unchanged */
+ /* |h6| <= 2^25; from now on fits into int32 unchanged */
+ /* |h3| <= 1.71*2^59 */
+ /* |h7| <= 1.71*2^59 */
+
+ carry3 = (h3 + (int64_t)(1<<24)) >> 25;
+ h4 += carry3;
+ h3 -= carry3 << 25;
+ carry7 = (h7 + (int64_t)(1<<24)) >> 25;
+ h8 += carry7;
+ h7 -= carry7 << 25;
+ /* |h3| <= 2^24; from now on fits into int32 unchanged */
+ /* |h7| <= 2^24; from now on fits into int32 unchanged */
+ /* |h4| <= 1.72*2^34 */
+ /* |h8| <= 1.41*2^60 */
+
+ carry4 = (h4 + (int64_t)(1<<25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 << 26;
+ carry8 = (h8 + (int64_t)(1<<25)) >> 26;
+ h9 += carry8;
+ h8 -= carry8 << 26;
+ /* |h4| <= 2^25; from now on fits into int32 unchanged */
+ /* |h8| <= 2^25; from now on fits into int32 unchanged */
+ /* |h5| <= 1.01*2^24 */
+ /* |h9| <= 1.71*2^59 */
+
+ carry9 = (h9 + (int64_t)(1<<24)) >> 25;
+ h0 += carry9 * 19;
+ h9 -= carry9 << 25;
+ /* |h9| <= 2^24; from now on fits into int32 unchanged */
+ /* |h0| <= 1.1*2^39 */
+
+ carry0 = (h0 + (int64_t)(1<<25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 << 26;
+ /* |h0| <= 2^25; from now on fits into int32 unchanged */
+ /* |h1| <= 1.01*2^24 */
+
+ return FE_25519(h0, h1, h2, h3, h4, h5, h6, h7, h8, h9);
+ }
+
+/*
+h = f * f
+Can overlap h with f.
+
+Preconditions:
+|f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
+
+Postconditions:
+|h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
+*/
+
+/*
+See fe_mul.c for discussion of implementation strategy.
+*/
+
+//static
+FE_25519 FE_25519::sqr_iter(const FE_25519& f, size_t iter)
+ {
+ int32_t f0 = f[0];
+ int32_t f1 = f[1];
+ int32_t f2 = f[2];
+ int32_t f3 = f[3];
+ int32_t f4 = f[4];
+ int32_t f5 = f[5];
+ int32_t f6 = f[6];
+ int32_t f7 = f[7];
+ int32_t f8 = f[8];
+ int32_t f9 = f[9];
+
+ for(size_t i = 0; i != iter; ++i)
+ {
+ const int32_t f0_2 = 2 * f0;
+ const int32_t f1_2 = 2 * f1;
+ const int32_t f2_2 = 2 * f2;
+ const int32_t f3_2 = 2 * f3;
+ const int32_t f4_2 = 2 * f4;
+ const int32_t f5_2 = 2 * f5;
+ const int32_t f6_2 = 2 * f6;
+ const int32_t f7_2 = 2 * f7;
+ const int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */
+ const int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */
+ const int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */
+ const int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */
+ const int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */
+
+ const int64_t f0f0 = f0 * (int64_t) f0;
+ const int64_t f0f1_2 = f0_2 * (int64_t) f1;
+ const int64_t f0f2_2 = f0_2 * (int64_t) f2;
+ const int64_t f0f3_2 = f0_2 * (int64_t) f3;
+ const int64_t f0f4_2 = f0_2 * (int64_t) f4;
+ const int64_t f0f5_2 = f0_2 * (int64_t) f5;
+ const int64_t f0f6_2 = f0_2 * (int64_t) f6;
+ const int64_t f0f7_2 = f0_2 * (int64_t) f7;
+ const int64_t f0f8_2 = f0_2 * (int64_t) f8;
+ const int64_t f0f9_2 = f0_2 * (int64_t) f9;
+ const int64_t f1f1_2 = f1_2 * (int64_t) f1;
+ const int64_t f1f2_2 = f1_2 * (int64_t) f2;
+ const int64_t f1f3_4 = f1_2 * (int64_t) f3_2;
+ const int64_t f1f4_2 = f1_2 * (int64_t) f4;
+ const int64_t f1f5_4 = f1_2 * (int64_t) f5_2;
+ const int64_t f1f6_2 = f1_2 * (int64_t) f6;
+ const int64_t f1f7_4 = f1_2 * (int64_t) f7_2;
+ const int64_t f1f8_2 = f1_2 * (int64_t) f8;
+ const int64_t f1f9_76 = f1_2 * (int64_t) f9_38;
+ const int64_t f2f2 = f2 * (int64_t) f2;
+ const int64_t f2f3_2 = f2_2 * (int64_t) f3;
+ const int64_t f2f4_2 = f2_2 * (int64_t) f4;
+ const int64_t f2f5_2 = f2_2 * (int64_t) f5;
+ const int64_t f2f6_2 = f2_2 * (int64_t) f6;
+ const int64_t f2f7_2 = f2_2 * (int64_t) f7;
+ const int64_t f2f8_38 = f2_2 * (int64_t) f8_19;
+ const int64_t f2f9_38 = f2 * (int64_t) f9_38;
+ const int64_t f3f3_2 = f3_2 * (int64_t) f3;
+ const int64_t f3f4_2 = f3_2 * (int64_t) f4;
+ const int64_t f3f5_4 = f3_2 * (int64_t) f5_2;
+ const int64_t f3f6_2 = f3_2 * (int64_t) f6;
+ const int64_t f3f7_76 = f3_2 * (int64_t) f7_38;
+ const int64_t f3f8_38 = f3_2 * (int64_t) f8_19;
+ const int64_t f3f9_76 = f3_2 * (int64_t) f9_38;
+ const int64_t f4f4 = f4 * (int64_t) f4;
+ const int64_t f4f5_2 = f4_2 * (int64_t) f5;
+ const int64_t f4f6_38 = f4_2 * (int64_t) f6_19;
+ const int64_t f4f7_38 = f4 * (int64_t) f7_38;
+ const int64_t f4f8_38 = f4_2 * (int64_t) f8_19;
+ const int64_t f4f9_38 = f4 * (int64_t) f9_38;
+ const int64_t f5f5_38 = f5 * (int64_t) f5_38;
+ const int64_t f5f6_38 = f5_2 * (int64_t) f6_19;
+ const int64_t f5f7_76 = f5_2 * (int64_t) f7_38;
+ const int64_t f5f8_38 = f5_2 * (int64_t) f8_19;
+ const int64_t f5f9_76 = f5_2 * (int64_t) f9_38;
+ const int64_t f6f6_19 = f6 * (int64_t) f6_19;
+ const int64_t f6f7_38 = f6 * (int64_t) f7_38;
+ const int64_t f6f8_38 = f6_2 * (int64_t) f8_19;
+ const int64_t f6f9_38 = f6 * (int64_t) f9_38;
+ const int64_t f7f7_38 = f7 * (int64_t) f7_38;
+ const int64_t f7f8_38 = f7_2 * (int64_t) f8_19;
+ const int64_t f7f9_76 = f7_2 * (int64_t) f9_38;
+ const int64_t f8f8_19 = f8 * (int64_t) f8_19;
+ const int64_t f8f9_38 = f8 * (int64_t) f9_38;
+ const int64_t f9f9_38 = f9 * (int64_t) f9_38;
+
+ int64_t h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38;
+ int64_t h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38;
+ int64_t h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19;
+ int64_t h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38;
+ int64_t h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38;
+ int64_t h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38;
+ int64_t h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19;
+ int64_t h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38;
+ int64_t h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38;
+ int64_t h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2;
+
+ int64_t carry0;
+ int64_t carry1;
+ int64_t carry2;
+ int64_t carry3;
+ int64_t carry4;
+ int64_t carry5;
+ int64_t carry6;
+ int64_t carry7;
+ int64_t carry8;
+ int64_t carry9;
+
+ carry0 = (h0 + (int64_t)(1<<25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 << 26;
+ carry4 = (h4 + (int64_t)(1<<25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 << 26;
+
+ carry1 = (h1 + (int64_t)(1<<24)) >> 25;
+ h2 += carry1;
+ h1 -= carry1 << 25;
+ carry5 = (h5 + (int64_t)(1<<24)) >> 25;
+ h6 += carry5;
+ h5 -= carry5 << 25;
+
+ carry2 = (h2 + (int64_t)(1<<25)) >> 26;
+ h3 += carry2;
+ h2 -= carry2 << 26;
+ carry6 = (h6 + (int64_t)(1<<25)) >> 26;
+ h7 += carry6;
+ h6 -= carry6 << 26;
+
+ carry3 = (h3 + (int64_t)(1<<24)) >> 25;
+ h4 += carry3;
+ h3 -= carry3 << 25;
+ carry7 = (h7 + (int64_t)(1<<24)) >> 25;
+ h8 += carry7;
+ h7 -= carry7 << 25;
+
+ carry4 = (h4 + (int64_t)(1<<25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 << 26;
+ carry8 = (h8 + (int64_t)(1<<25)) >> 26;
+ h9 += carry8;
+ h8 -= carry8 << 26;
+
+ carry9 = (h9 + (int64_t)(1<<24)) >> 25;
+ h0 += carry9 * 19;
+ h9 -= carry9 << 25;
+ carry0 = (h0 + (int64_t)(1<<25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 << 26;
+
+ f0 = h0;
+ f1 = h1;
+ f2 = h2;
+ f3 = h3;
+ f4 = h4;
+ f5 = h5;
+ f6 = h6;
+ f7 = h7;
+ f8 = h8;
+ f9 = h9;
+ }
+
+ return FE_25519(f0, f1, f2, f3, f4, f5, f6, f7, f8, f9);
+ }
+
+/*
+h = 2 * f * f
+Can overlap h with f.
+
+Preconditions:
+|f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
+
+Postconditions:
+|h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
+*/
+
+/*
+See fe_mul.c for discussion of implementation strategy.
+*/
+
+//static
+FE_25519 FE_25519::sqr2(const FE_25519& f)
+ {
+ int32_t f0 = f[0];
+ int32_t f1 = f[1];
+ int32_t f2 = f[2];
+ int32_t f3 = f[3];
+ int32_t f4 = f[4];
+ int32_t f5 = f[5];
+ int32_t f6 = f[6];
+ int32_t f7 = f[7];
+ int32_t f8 = f[8];
+ int32_t f9 = f[9];
+ int32_t f0_2 = 2 * f0;
+ int32_t f1_2 = 2 * f1;
+ int32_t f2_2 = 2 * f2;
+ int32_t f3_2 = 2 * f3;
+ int32_t f4_2 = 2 * f4;
+ int32_t f5_2 = 2 * f5;
+ int32_t f6_2 = 2 * f6;
+ int32_t f7_2 = 2 * f7;
+ int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */
+ int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */
+ int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */
+ int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */
+ int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */
+ int64_t f0f0 = f0 * (int64_t) f0;
+ int64_t f0f1_2 = f0_2 * (int64_t) f1;
+ int64_t f0f2_2 = f0_2 * (int64_t) f2;
+ int64_t f0f3_2 = f0_2 * (int64_t) f3;
+ int64_t f0f4_2 = f0_2 * (int64_t) f4;
+ int64_t f0f5_2 = f0_2 * (int64_t) f5;
+ int64_t f0f6_2 = f0_2 * (int64_t) f6;
+ int64_t f0f7_2 = f0_2 * (int64_t) f7;
+ int64_t f0f8_2 = f0_2 * (int64_t) f8;
+ int64_t f0f9_2 = f0_2 * (int64_t) f9;
+ int64_t f1f1_2 = f1_2 * (int64_t) f1;
+ int64_t f1f2_2 = f1_2 * (int64_t) f2;
+ int64_t f1f3_4 = f1_2 * (int64_t) f3_2;
+ int64_t f1f4_2 = f1_2 * (int64_t) f4;
+ int64_t f1f5_4 = f1_2 * (int64_t) f5_2;
+ int64_t f1f6_2 = f1_2 * (int64_t) f6;
+ int64_t f1f7_4 = f1_2 * (int64_t) f7_2;
+ int64_t f1f8_2 = f1_2 * (int64_t) f8;
+ int64_t f1f9_76 = f1_2 * (int64_t) f9_38;
+ int64_t f2f2 = f2 * (int64_t) f2;
+ int64_t f2f3_2 = f2_2 * (int64_t) f3;
+ int64_t f2f4_2 = f2_2 * (int64_t) f4;
+ int64_t f2f5_2 = f2_2 * (int64_t) f5;
+ int64_t f2f6_2 = f2_2 * (int64_t) f6;
+ int64_t f2f7_2 = f2_2 * (int64_t) f7;
+ int64_t f2f8_38 = f2_2 * (int64_t) f8_19;
+ int64_t f2f9_38 = f2 * (int64_t) f9_38;
+ int64_t f3f3_2 = f3_2 * (int64_t) f3;
+ int64_t f3f4_2 = f3_2 * (int64_t) f4;
+ int64_t f3f5_4 = f3_2 * (int64_t) f5_2;
+ int64_t f3f6_2 = f3_2 * (int64_t) f6;
+ int64_t f3f7_76 = f3_2 * (int64_t) f7_38;
+ int64_t f3f8_38 = f3_2 * (int64_t) f8_19;
+ int64_t f3f9_76 = f3_2 * (int64_t) f9_38;
+ int64_t f4f4 = f4 * (int64_t) f4;
+ int64_t f4f5_2 = f4_2 * (int64_t) f5;
+ int64_t f4f6_38 = f4_2 * (int64_t) f6_19;
+ int64_t f4f7_38 = f4 * (int64_t) f7_38;
+ int64_t f4f8_38 = f4_2 * (int64_t) f8_19;
+ int64_t f4f9_38 = f4 * (int64_t) f9_38;
+ int64_t f5f5_38 = f5 * (int64_t) f5_38;
+ int64_t f5f6_38 = f5_2 * (int64_t) f6_19;
+ int64_t f5f7_76 = f5_2 * (int64_t) f7_38;
+ int64_t f5f8_38 = f5_2 * (int64_t) f8_19;
+ int64_t f5f9_76 = f5_2 * (int64_t) f9_38;
+ int64_t f6f6_19 = f6 * (int64_t) f6_19;
+ int64_t f6f7_38 = f6 * (int64_t) f7_38;
+ int64_t f6f8_38 = f6_2 * (int64_t) f8_19;
+ int64_t f6f9_38 = f6 * (int64_t) f9_38;
+ int64_t f7f7_38 = f7 * (int64_t) f7_38;
+ int64_t f7f8_38 = f7_2 * (int64_t) f8_19;
+ int64_t f7f9_76 = f7_2 * (int64_t) f9_38;
+ int64_t f8f8_19 = f8 * (int64_t) f8_19;
+ int64_t f8f9_38 = f8 * (int64_t) f9_38;
+ int64_t f9f9_38 = f9 * (int64_t) f9_38;
+ int64_t h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38;
+ int64_t h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38;
+ int64_t h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19;
+ int64_t h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38;
+ int64_t h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38;
+ int64_t h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38;
+ int64_t h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19;
+ int64_t h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38;
+ int64_t h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38;
+ int64_t h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2;
+ int64_t carry0;
+ int64_t carry1;
+ int64_t carry2;
+ int64_t carry3;
+ int64_t carry4;
+ int64_t carry5;
+ int64_t carry6;
+ int64_t carry7;
+ int64_t carry8;
+ int64_t carry9;
+
+ h0 += h0;
+ h1 += h1;
+ h2 += h2;
+ h3 += h3;
+ h4 += h4;
+ h5 += h5;
+ h6 += h6;
+ h7 += h7;
+ h8 += h8;
+ h9 += h9;
+
+ carry0 = (h0 + (int64_t)(1<<25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 << 26;
+ carry4 = (h4 + (int64_t)(1<<25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 << 26;
+
+ carry1 = (h1 + (int64_t)(1<<24)) >> 25;
+ h2 += carry1;
+ h1 -= carry1 << 25;
+ carry5 = (h5 + (int64_t)(1<<24)) >> 25;
+ h6 += carry5;
+ h5 -= carry5 << 25;
+
+ carry2 = (h2 + (int64_t)(1<<25)) >> 26;
+ h3 += carry2;
+ h2 -= carry2 << 26;
+ carry6 = (h6 + (int64_t)(1<<25)) >> 26;
+ h7 += carry6;
+ h6 -= carry6 << 26;
+
+ carry3 = (h3 + (int64_t)(1<<24)) >> 25;
+ h4 += carry3;
+ h3 -= carry3 << 25;
+ carry7 = (h7 + (int64_t)(1<<24)) >> 25;
+ h8 += carry7;
+ h7 -= carry7 << 25;
+
+ carry4 = (h4 + (int64_t)(1<<25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 << 26;
+ carry8 = (h8 + (int64_t)(1<<25)) >> 26;
+ h9 += carry8;
+ h8 -= carry8 << 26;
+
+ carry9 = (h9 + (int64_t)(1<<24)) >> 25;
+ h0 += carry9 * 19;
+ h9 -= carry9 << 25;
+
+ carry0 = (h0 + (int64_t)(1<<25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 << 26;
+
+ return FE_25519(h0, h1, h2, h3, h4, h5, h6, h7, h8, h9);
+ }
+
+/*
+Ignores top bit of h.
+*/
+
+void FE_25519::from_bytes(const uint8_t s[32])
+ {
+ int64_t h0 = load_4(s);
+ int64_t h1 = load_3(s + 4) << 6;
+ int64_t h2 = load_3(s + 7) << 5;
+ int64_t h3 = load_3(s + 10) << 3;
+ int64_t h4 = load_3(s + 13) << 2;
+ int64_t h5 = load_4(s + 16);
+ int64_t h6 = load_3(s + 20) << 7;
+ int64_t h7 = load_3(s + 23) << 5;
+ int64_t h8 = load_3(s + 26) << 4;
+ int64_t h9 = (load_3(s + 29) & 0x7fffff) << 2;
+
+ const int64_t carry9 = (h9 + (int64_t)(1<<24)) >> 25;
+ h0 += carry9 * 19;
+ h9 -= carry9 << 25;
+ const int64_t carry1 = (h1 + (int64_t)(1<<24)) >> 25;
+ h2 += carry1;
+ h1 -= carry1 << 25;
+ const int64_t carry3 = (h3 + (int64_t)(1<<24)) >> 25;
+ h4 += carry3;
+ h3 -= carry3 << 25;
+ const int64_t carry5 = (h5 + (int64_t)(1<<24)) >> 25;
+ h6 += carry5;
+ h5 -= carry5 << 25;
+ const int64_t carry7 = (h7 + (int64_t)(1<<24)) >> 25;
+ h8 += carry7;
+ h7 -= carry7 << 25;
+
+ const int64_t carry0 = (h0 + (int64_t)(1<<25)) >> 26;
+ h1 += carry0;
+ h0 -= carry0 << 26;
+ const int64_t carry2 = (h2 + (int64_t)(1<<25)) >> 26;
+ h3 += carry2;
+ h2 -= carry2 << 26;
+ const int64_t carry4 = (h4 + (int64_t)(1<<25)) >> 26;
+ h5 += carry4;
+ h4 -= carry4 << 26;
+ const int64_t carry6 = (h6 + (int64_t)(1<<25)) >> 26;
+ h7 += carry6;
+ h6 -= carry6 << 26;
+ const int64_t carry8 = (h8 + (int64_t)(1<<25)) >> 26;
+ h9 += carry8;
+ h8 -= carry8 << 26;
+
+ m_fe[0] = h0;
+ m_fe[1] = h1;
+ m_fe[2] = h2;
+ m_fe[3] = h3;
+ m_fe[4] = h4;
+ m_fe[5] = h5;
+ m_fe[6] = h6;
+ m_fe[7] = h7;
+ m_fe[8] = h8;
+ m_fe[9] = h9;
+ }
+
+/*
+Preconditions:
+|h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
+
+Write p=2^255-19; q=floor(h/p).
+Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))).
+
+Proof:
+Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4.
+Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4.
+
+Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9).
+Then 0<y<1.
+
+Write r=h-pq.
+Have 0<=r<=p-1=2^255-20.
+Thus 0<=r+19(2^-255)r<r+19(2^-255)2^255<=2^255-1.
+
+Write x=r+19(2^-255)r+y.
+Then 0<x<2^255 so floor(2^(-255)x) = 0 so floor(q+2^(-255)x) = q.
+
+Have q+2^(-255)x = 2^(-255)(h + 19 2^(-25) h9 + 2^(-1))
+so floor(2^(-255)(h + 19 2^(-25) h9 + 2^(-1))) = q.
+*/
+
+void FE_25519::to_bytes(uint8_t s[32]) const
+ {
+ int32_t h0 = m_fe[0];
+ int32_t h1 = m_fe[1];
+ int32_t h2 = m_fe[2];
+ int32_t h3 = m_fe[3];
+ int32_t h4 = m_fe[4];
+ int32_t h5 = m_fe[5];
+ int32_t h6 = m_fe[6];
+ int32_t h7 = m_fe[7];
+ int32_t h8 = m_fe[8];
+ int32_t h9 = m_fe[9];
+ int32_t q;
+ int32_t carry0;
+ int32_t carry1;
+ int32_t carry2;
+ int32_t carry3;
+ int32_t carry4;
+ int32_t carry5;
+ int32_t carry6;
+ int32_t carry7;
+ int32_t carry8;
+ int32_t carry9;
+
+ q = (19 * h9 + (((int32_t) 1) << 24)) >> 25;
+ q = (h0 + q) >> 26;
+ q = (h1 + q) >> 25;
+ q = (h2 + q) >> 26;
+ q = (h3 + q) >> 25;
+ q = (h4 + q) >> 26;
+ q = (h5 + q) >> 25;
+ q = (h6 + q) >> 26;
+ q = (h7 + q) >> 25;
+ q = (h8 + q) >> 26;
+ q = (h9 + q) >> 25;
+
+ /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */
+ h0 += 19 * q;
+ /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */
+
+ carry0 = h0 >> 26;
+ h1 += carry0;
+ h0 -= carry0 << 26;
+ carry1 = h1 >> 25;
+ h2 += carry1;
+ h1 -= carry1 << 25;
+ carry2 = h2 >> 26;
+ h3 += carry2;
+ h2 -= carry2 << 26;
+ carry3 = h3 >> 25;
+ h4 += carry3;
+ h3 -= carry3 << 25;
+ carry4 = h4 >> 26;
+ h5 += carry4;
+ h4 -= carry4 << 26;
+ carry5 = h5 >> 25;
+ h6 += carry5;
+ h5 -= carry5 << 25;
+ carry6 = h6 >> 26;
+ h7 += carry6;
+ h6 -= carry6 << 26;
+ carry7 = h7 >> 25;
+ h8 += carry7;
+ h7 -= carry7 << 25;
+ carry8 = h8 >> 26;
+ h9 += carry8;
+ h8 -= carry8 << 26;
+ carry9 = h9 >> 25;
+ h9 -= carry9 << 25;
+ /* h10 = carry9 */
+
+ /*
+ Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20.
+ Have h0+...+2^230 h9 between 0 and 2^255-1;
+ evidently 2^255 h10-2^255 q = 0.
+ Goal: Output h0+...+2^230 h9.
+ */
+
+ s[0] = h0 >> 0;
+ s[1] = h0 >> 8;
+ s[2] = h0 >> 16;
+ s[3] = (h0 >> 24) | (h1 << 2);
+ s[4] = h1 >> 6;
+ s[5] = h1 >> 14;
+ s[6] = (h1 >> 22) | (h2 << 3);
+ s[7] = h2 >> 5;
+ s[8] = h2 >> 13;
+ s[9] = (h2 >> 21) | (h3 << 5);
+ s[10] = h3 >> 3;
+ s[11] = h3 >> 11;
+ s[12] = (h3 >> 19) | (h4 << 6);
+ s[13] = h4 >> 2;
+ s[14] = h4 >> 10;
+ s[15] = h4 >> 18;
+ s[16] = h5 >> 0;
+ s[17] = h5 >> 8;
+ s[18] = h5 >> 16;
+ s[19] = (h5 >> 24) | (h6 << 1);
+ s[20] = h6 >> 7;
+ s[21] = h6 >> 15;
+ s[22] = (h6 >> 23) | (h7 << 3);
+ s[23] = h7 >> 5;
+ s[24] = h7 >> 13;
+ s[25] = (h7 >> 21) | (h8 << 4);
+ s[26] = h8 >> 4;
+ s[27] = h8 >> 12;
+ s[28] = (h8 >> 20) | (h9 << 6);
+ s[29] = h9 >> 2;
+ s[30] = h9 >> 10;
+ s[31] = h9 >> 18;
+ }
+
+}
diff --git a/src/lib/pubkey/ed25519/ed25519_fe.h b/src/lib/pubkey/ed25519/ed25519_fe.h
new file mode 100644
index 000000000..a7a3a8d8d
--- /dev/null
+++ b/src/lib/pubkey/ed25519/ed25519_fe.h
@@ -0,0 +1,228 @@
+/*
+* Ed25519 field element
+* (C) 2017 Ribose Inc
+*
+* Based on the public domain code from SUPERCOP ref10 by
+* Peter Schwabe, Daniel J. Bernstein, Niels Duif, Tanja Lange, Bo-Yin Yang
+*
+* Botan is released under the Simplified BSD License (see license.txt)
+*/
+
+#ifndef BOTAN_ED25519_FE_H__
+#define BOTAN_ED25519_FE_H__
+
+#include <botan/mem_ops.h>
+
+namespace Botan {
+
+/**
+* An element of the field \Z/(2^255-19)
+*/
+class FE_25519
+ {
+ public:
+ ~FE_25519() { secure_scrub_memory(m_fe, sizeof(m_fe)); }
+
+ /**
+ * Zero element
+ */
+ FE_25519(int init = 0)
+ {
+ if(init != 0 && init != 1)
+ { throw std::invalid_argument("Invalid FE_25519 initial value"); }
+ memset(m_fe, 0, 10 * sizeof(int32_t));
+ m_fe[0] = init;
+ }
+
+ FE_25519(std::initializer_list<int32_t> x)
+ {
+ if(x.size() != 10)
+ { throw std::invalid_argument("Invalid FE_25519 initializer list"); }
+ memcpy(m_fe, x.begin(), 10 * sizeof(int32_t));
+ }
+
+ FE_25519(int64_t h0, int64_t h1, int64_t h2, int64_t h3, int64_t h4,
+ int64_t h5, int64_t h6, int64_t h7, int64_t h8, int64_t h9)
+ {
+ m_fe[0] = static_cast<int32_t>(h0);
+ m_fe[1] = static_cast<int32_t>(h1);
+ m_fe[2] = static_cast<int32_t>(h2);
+ m_fe[3] = static_cast<int32_t>(h3);
+ m_fe[4] = static_cast<int32_t>(h4);
+ m_fe[5] = static_cast<int32_t>(h5);
+ m_fe[6] = static_cast<int32_t>(h6);
+ m_fe[7] = static_cast<int32_t>(h7);
+ m_fe[8] = static_cast<int32_t>(h8);
+ m_fe[9] = static_cast<int32_t>(h9);
+ }
+
+ FE_25519(const FE_25519& other) = default;
+ FE_25519& operator=(const FE_25519& other) = default;
+
+#if !defined(BOTAN_BUILD_COMPILER_IS_MSVC_2013)
+ FE_25519(FE_25519&& other) = default;
+ FE_25519& operator=(FE_25519&& other) = default;
+#endif
+
+ void from_bytes(const uint8_t b[32]);
+ void to_bytes(uint8_t b[32]) const;
+
+ bool is_zero() const
+ {
+ uint8_t s[32];
+ to_bytes(s);
+
+ uint8_t sum = 0;
+ for(size_t i = 0; i != 32; ++i)
+ { sum |= s[i]; }
+
+ // TODO avoid ternary here
+ return (sum == 0) ? 1 : 0;
+ }
+
+ /*
+ return 1 if f is in {1,3,5,...,q-2}
+ return 0 if f is in {0,2,4,...,q-1}
+ */
+ bool is_negative() const
+ {
+ // TODO could avoid most of the to_bytes computation here
+ uint8_t s[32];
+ to_bytes(s);
+ return s[0] & 1;
+ }
+
+ static FE_25519 add(const FE_25519& a, const FE_25519& b)
+ {
+ FE_25519 z;
+ for(size_t i = 0; i != 10; ++i)
+ { z[i] = a[i] + b[i]; }
+ return z;
+ }
+
+ static FE_25519 sub(const FE_25519& a, const FE_25519& b)
+ {
+ FE_25519 z;
+ for(size_t i = 0; i != 10; ++i)
+ { z[i] = a[i] - b[i]; }
+ return z;
+ }
+
+ static FE_25519 negate(const FE_25519& a)
+ {
+ FE_25519 z;
+ for(size_t i = 0; i != 10; ++i)
+ { z[i] = -a[i]; }
+ return z;
+ }
+
+ static FE_25519 mul(const FE_25519& a, const FE_25519& b);
+ static FE_25519 sqr_iter(const FE_25519& a, size_t iter);
+ static FE_25519 sqr(const FE_25519& a) { return sqr_iter(a, 1); }
+ static FE_25519 sqr2(const FE_25519& a);
+ static FE_25519 pow_22523(const FE_25519& a);
+ static FE_25519 invert(const FE_25519& a);
+
+ // TODO remove
+ int32_t operator[](size_t i) const { return m_fe[i]; }
+ int32_t& operator[](size_t i) { return m_fe[i]; }
+
+ private:
+
+ int32_t m_fe[10];
+ };
+
+typedef FE_25519 fe;
+
+/*
+fe means field element.
+Here the field is
+An element t, entries t[0]...t[9], represents the integer
+t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9].
+Bounds on each t[i] vary depending on context.
+*/
+
+inline void fe_frombytes(fe& x, const uint8_t* b)
+ {
+ x.from_bytes(b);
+ }
+
+inline void fe_tobytes(uint8_t* b, const fe& x)
+ {
+ x.to_bytes(b);
+ }
+
+inline void fe_copy(fe& a, const fe& b)
+ {
+ a = b;
+ }
+
+inline int fe_isnonzero(const fe& x)
+ {
+ return x.is_zero() ? 0 : 1;
+ }
+
+inline int fe_isnegative(const fe& x)
+ {
+ return x.is_negative();
+ }
+
+
+inline void fe_0(fe& x)
+ {
+ x = FE_25519();
+ }
+
+inline void fe_1(fe& x)
+ {
+ x = FE_25519(1);
+ }
+
+inline void fe_add(fe& x, const fe& a, const fe& b)
+ {
+ x = FE_25519::add(a, b);
+ }
+
+inline void fe_sub(fe& x, const fe& a, const fe& b)
+ {
+ x = FE_25519::sub(a, b);
+ }
+
+inline void fe_neg(fe& x, const fe& z)
+ {
+ x = FE_25519::negate(z);
+ }
+
+inline void fe_mul(fe& x, const fe& a, const fe& b)
+ {
+ x = FE_25519::mul(a, b);
+ }
+
+inline void fe_sq(fe& x, const fe& z)
+ {
+ x = FE_25519::sqr(z);
+ }
+
+inline void fe_sq_iter(fe& x, const fe& z, size_t iter)
+ {
+ x = FE_25519::sqr_iter(z, iter);
+ }
+
+inline void fe_sq2(fe& x, const fe& z)
+ {
+ x = FE_25519::sqr2(z);
+ }
+
+inline void fe_invert(fe& x, const fe& z)
+ {
+ x = FE_25519::invert(z);
+ }
+
+inline void fe_pow22523(fe& x, const fe& y)
+ {
+ x = FE_25519::pow_22523(y);
+ }
+
+}
+
+#endif
diff --git a/src/lib/pubkey/ed25519/ed25519_internal.h b/src/lib/pubkey/ed25519/ed25519_internal.h
new file mode 100644
index 000000000..2a86bb30e
--- /dev/null
+++ b/src/lib/pubkey/ed25519/ed25519_internal.h
@@ -0,0 +1,76 @@
+/*
+* Ed25519
+* (C) 2017 Ribose Inc
+*
+* Based on the public domain code from SUPERCOP ref10 by
+* Peter Schwabe, Daniel J. Bernstein, Niels Duif, Tanja Lange, Bo-Yin Yang
+*
+* Botan is released under the Simplified BSD License (see license.txt)
+*/
+
+#ifndef BOTAN_ED25519_INT_H__
+#define BOTAN_ED25519_INT_H__
+
+#include <botan/internal/ed25519_fe.h>
+#include <botan/loadstor.h>
+
+namespace Botan {
+
+inline uint64_t load_3(const uint8_t* in)
+ {
+ uint64_t result;
+ result = (uint64_t) in[0];
+ result |= ((uint64_t) in[1]) << 8;
+ result |= ((uint64_t) in[2]) << 16;
+ return result;
+ }
+
+inline uint64_t load_4(const uint8_t* in)
+ {
+ uint64_t result;
+ result = (uint64_t) in[0];
+ result |= ((uint64_t) in[1]) << 8;
+ result |= ((uint64_t) in[2]) << 16;
+ result |= ((uint64_t) in[3]) << 24;
+ return result;
+ //return load_le<uint32_t>(in, 0);
+ }
+
+/*
+ge means group element.
+
+Here the group is the set of pairs (x,y) of field elements (see fe.h)
+satisfying -x^2 + y^2 = 1 + d x^2y^2
+where d = -121665/121666.
+
+Representations:
+ ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
+*/
+
+typedef struct
+ {
+ fe X;
+ fe Y;
+ fe Z;
+ fe T;
+ } ge_p3;
+
+int ge_frombytes_negate_vartime(ge_p3*, const uint8_t*);
+void ge_scalarmult_base(uint8_t out[32], const uint8_t in[32]);
+
+void ge_double_scalarmult_vartime(uint8_t out[32],
+ const uint8_t a[],
+ const ge_p3* A,
+ const uint8_t b[]);
+
+/*
+The set of scalars is \Z/l
+where l = 2^252 + 27742317777372353535851937790883648493.
+*/
+
+void sc_reduce(uint8_t*);
+void sc_muladd(uint8_t*, const uint8_t*, const uint8_t*, const uint8_t*);
+
+}
+
+#endif
diff --git a/src/lib/pubkey/ed25519/ed25519_key.cpp b/src/lib/pubkey/ed25519/ed25519_key.cpp
new file mode 100644
index 000000000..beea8d9a2
--- /dev/null
+++ b/src/lib/pubkey/ed25519/ed25519_key.cpp
@@ -0,0 +1,253 @@
+/*
+* Ed25519
+* (C) 2017 Ribose Inc
+*
+* Based on the public domain code from SUPERCOP ref10 by
+* Peter Schwabe, Daniel J. Bernstein, Niels Duif, Tanja Lange, Bo-Yin Yang
+*
+* Botan is released under the Simplified BSD License (see license.txt)
+*/
+
+#include <botan/ed25519.h>
+#include <botan/internal/pk_ops_impl.h>
+#include <botan/hash.h>
+#include <botan/ber_dec.h>
+#include <botan/der_enc.h>
+
+namespace Botan {
+
+AlgorithmIdentifier Ed25519_PublicKey::algorithm_identifier() const
+ {
+ return AlgorithmIdentifier(get_oid(), AlgorithmIdentifier::USE_NULL_PARAM);
+ }
+
+bool Ed25519_PublicKey::check_key(RandomNumberGenerator&, bool) const
+ {
+ return true; // no tests possible?
+ // TODO could check cofactor
+ }
+
+Ed25519_PublicKey::Ed25519_PublicKey(const AlgorithmIdentifier&,
+ const std::vector<uint8_t>& key_bits)
+ {
+ BER_Decoder(key_bits)
+ .start_cons(SEQUENCE)
+ .decode(m_public, OCTET_STRING)
+ .end_cons();
+
+ if(m_public.size() != 32)
+ throw Decoding_Error("Invalid size for Ed25519 public key");
+ }
+
+std::vector<uint8_t> Ed25519_PublicKey::public_key_bits() const
+ {
+ return DER_Encoder()
+ .start_cons(SEQUENCE)
+ .encode(m_public, OCTET_STRING)
+ .end_cons()
+ .get_contents_unlocked();
+ }
+
+Ed25519_PrivateKey::Ed25519_PrivateKey(const secure_vector<uint8_t>& secret_key)
+ {
+ if(secret_key.size() == 64)
+ {
+ m_private = secret_key;
+ m_public.assign(&m_private[32], &m_private[64]);
+ }
+ else if(secret_key.size() == 32)
+ {
+ m_public.resize(32);
+ m_private.resize(64);
+ ed25519_gen_keypair(m_public.data(), m_private.data(), secret_key.data());
+ }
+ else
+ throw Decoding_Error("Invalid size for Ed25519 private key");
+ }
+
+Ed25519_PrivateKey::Ed25519_PrivateKey(RandomNumberGenerator& rng)
+ {
+ const secure_vector<uint8_t> seed = rng.random_vec(32);
+ m_public.resize(32);
+ m_private.resize(64);
+ ed25519_gen_keypair(m_public.data(), m_private.data(), seed.data());
+ }
+
+Ed25519_PrivateKey::Ed25519_PrivateKey(const AlgorithmIdentifier&,
+ const secure_vector<uint8_t>& key_bits)
+ {
+ BER_Decoder(key_bits)
+ .start_cons(SEQUENCE)
+ .decode(m_private, OCTET_STRING)
+ .end_cons();
+
+ if(m_private.size() != 64)
+ throw Decoding_Error("Invalid size for Ed25519 private key");
+ m_public.assign(&m_private[32], &m_private[64]);
+ }
+
+secure_vector<uint8_t> Ed25519_PrivateKey::private_key_bits() const
+ {
+ return DER_Encoder()
+ .start_cons(SEQUENCE)
+ .encode(m_private, OCTET_STRING)
+ .end_cons()
+ .get_contents();
+ }
+
+bool Ed25519_PrivateKey::check_key(RandomNumberGenerator&, bool) const
+ {
+ return true; // ???
+ }
+
+namespace {
+
+/**
+* Ed25519 verifying operation
+*/
+class Ed25519_Pure_Verify_Operation : public PK_Ops::Verification
+ {
+ public:
+ Ed25519_Pure_Verify_Operation(const Ed25519_PublicKey& key) : m_key(key)
+ {
+ }
+
+ void update(const uint8_t msg[], size_t msg_len) override
+ {
+ m_msg.insert(m_msg.end(), msg, msg + msg_len);
+ }
+
+ bool is_valid_signature(const uint8_t sig[], size_t sig_len) override
+ {
+ if(sig_len != 64)
+ return false;
+ const bool ok = ed25519_verify(m_msg.data(), m_msg.size(), sig, m_key.get_public_key().data());
+ m_msg.clear();
+ return ok;
+ }
+
+ private:
+ std::vector<uint8_t> m_msg;
+ const Ed25519_PublicKey& m_key;
+ };
+
+/**
+* Ed25519 verifying operation with pre-hash
+*/
+class Ed25519_Hashed_Verify_Operation : public PK_Ops::Verification
+ {
+ public:
+ Ed25519_Hashed_Verify_Operation(const Ed25519_PublicKey& key, const std::string& hash) : m_key(key)
+ {
+ m_hash = HashFunction::create_or_throw(hash);
+ }
+
+ void update(const uint8_t msg[], size_t msg_len) override
+ {
+ m_hash->update(msg, msg_len);
+ }
+
+ bool is_valid_signature(const uint8_t sig[], size_t sig_len) override
+ {
+ if(sig_len != 64)
+ return false;
+ std::vector<uint8_t> msg_hash(m_hash->output_length());
+ m_hash->final(msg_hash.data());
+ return ed25519_verify(msg_hash.data(), msg_hash.size(), sig, m_key.get_public_key().data());
+ }
+
+ private:
+ std::unique_ptr<HashFunction> m_hash;
+ const Ed25519_PublicKey& m_key;
+ };
+
+/**
+* Ed25519 signing operation ('pure' - signs message directly)
+*/
+class Ed25519_Pure_Sign_Operation : public PK_Ops::Signature
+ {
+ public:
+ Ed25519_Pure_Sign_Operation(const Ed25519_PrivateKey& key) : m_key(key)
+ {
+ }
+
+ void update(const uint8_t msg[], size_t msg_len) override
+ {
+ m_msg.insert(m_msg.end(), msg, msg + msg_len);
+ }
+
+ secure_vector<uint8_t> sign(RandomNumberGenerator&) override
+ {
+ secure_vector<uint8_t> sig(64);
+ ed25519_sign(sig.data(), m_msg.data(), m_msg.size(), m_key.get_private_key().data());
+ m_msg.clear();
+ return sig;
+ }
+
+ private:
+ std::vector<uint8_t> m_msg;
+ const Ed25519_PrivateKey& m_key;
+ };
+
+/**
+* Ed25519 signing operation with pre-hash
+*/
+class Ed25519_Hashed_Sign_Operation : public PK_Ops::Signature
+ {
+ public:
+ Ed25519_Hashed_Sign_Operation(const Ed25519_PrivateKey& key, const std::string& hash) : m_key(key)
+ {
+ m_hash = HashFunction::create_or_throw(hash);
+ }
+
+ void update(const uint8_t msg[], size_t msg_len) override
+ {
+ m_hash->update(msg, msg_len);
+ }
+
+ secure_vector<uint8_t> sign(RandomNumberGenerator&) override
+ {
+ secure_vector<uint8_t> sig(64);
+ std::vector<uint8_t> msg_hash(m_hash->output_length());
+ m_hash->final(msg_hash.data());
+ ed25519_sign(sig.data(), msg_hash.data(), msg_hash.size(), m_key.get_private_key().data());
+ return sig;
+ }
+
+ private:
+ std::unique_ptr<HashFunction> m_hash;
+ const Ed25519_PrivateKey& m_key;
+ };
+
+}
+
+std::unique_ptr<PK_Ops::Verification>
+Ed25519_PublicKey::create_verification_op(const std::string& params,
+ const std::string& provider) const
+ {
+ if(provider == "base" || provider.empty())
+ {
+ if(params == "" || params == "Identity" || params == "Pure")
+ return std::unique_ptr<PK_Ops::Verification>(new Ed25519_Pure_Verify_Operation(*this));
+ else
+ return std::unique_ptr<PK_Ops::Verification>(new Ed25519_Hashed_Verify_Operation(*this, params));
+ }
+ throw Provider_Not_Found(algo_name(), provider);
+ }
+
+std::unique_ptr<PK_Ops::Signature>
+Ed25519_PrivateKey::create_signature_op(RandomNumberGenerator&,
+ const std::string& params,
+ const std::string& provider) const
+ {
+ if(provider == "base" || provider.empty())
+ {
+ if(params == "" || params == "Identity" || params == "Pure")
+ return std::unique_ptr<PK_Ops::Signature>(new Ed25519_Pure_Sign_Operation(*this));
+ else
+ return std::unique_ptr<PK_Ops::Signature>(new Ed25519_Hashed_Sign_Operation(*this, params));
+ }
+ throw Provider_Not_Found(algo_name(), provider);
+ }
+
+}
diff --git a/src/lib/pubkey/ed25519/ge.cpp b/src/lib/pubkey/ed25519/ge.cpp
new file mode 100644
index 000000000..a8cf593e8
--- /dev/null
+++ b/src/lib/pubkey/ed25519/ge.cpp
@@ -0,0 +1,2174 @@
+/*
+* Ed25519 group operations
+* (C) 2017 Ribose Inc
+*
+* Based on the public domain code from SUPERCOP ref10 by
+* Peter Schwabe, Daniel J. Bernstein, Niels Duif, Tanja Lange, Bo-Yin Yang
+*
+* Botan is released under the Simplified BSD License (see license.txt)
+*/
+
+#include <botan/internal/ed25519_internal.h>
+
+namespace Botan {
+
+namespace {
+
+/*
+Representations:
+ ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z
+ ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
+ ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T
+ ge_precomp (Duif): (y+x,y-x,2dxy)
+*/
+typedef struct
+ {
+ fe X;
+ fe Y;
+ fe Z;
+ } ge_p2;
+
+typedef struct
+ {
+ fe X;
+ fe Y;
+ fe Z;
+ fe T;
+ } ge_p1p1;
+
+typedef struct
+ {
+ fe yplusx;
+ fe yminusx;
+ fe xy2d;
+ } ge_precomp;
+
+typedef struct
+ {
+ fe YplusX;
+ fe YminusX;
+ fe Z;
+ fe T2d;
+ } ge_cached;
+
+/*
+r = p + q
+*/
+
+void ge_add(ge_p1p1* r, const ge_p3* p, const ge_cached* q)
+ {
+ fe t0;
+ /* qhasm: YpX1 = Y1+X1 */
+ /* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
+ /* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */
+ fe_add(r->X, p->Y, p->X);
+
+ /* qhasm: YmX1 = Y1-X1 */
+ /* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
+ /* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */
+ fe_sub(r->Y, p->Y, p->X);
+
+ /* qhasm: A = YpX1*YpX2 */
+ /* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<YpX2=fe#15); */
+ /* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<YpX2=q->YplusX); */
+ fe_mul(r->Z, r->X, q->YplusX);
+
+ /* qhasm: B = YmX1*YmX2 */
+ /* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<YmX2=fe#16); */
+ /* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<YmX2=q->YminusX); */
+ fe_mul(r->Y, r->Y, q->YminusX);
+
+ /* qhasm: C = T2d2*T1 */
+ /* asm 1: fe_mul(>C=fe#4,<T2d2=fe#18,<T1=fe#14); */
+ /* asm 2: fe_mul(>C=r->T,<T2d2=q->T2d,<T1=p->T); */
+ fe_mul(r->T, q->T2d, p->T);
+
+ /* qhasm: ZZ = Z1*Z2 */
+ /* asm 1: fe_mul(>ZZ=fe#1,<Z1=fe#13,<Z2=fe#17); */
+ /* asm 2: fe_mul(>ZZ=r->X,<Z1=p->Z,<Z2=q->Z); */
+ fe_mul(r->X, p->Z, q->Z);
+
+ /* qhasm: D = 2*ZZ */
+ /* asm 1: fe_add(>D=fe#5,<ZZ=fe#1,<ZZ=fe#1); */
+ /* asm 2: fe_add(>D=t0,<ZZ=r->X,<ZZ=r->X); */
+ fe_add(t0, r->X, r->X);
+
+ /* qhasm: X3 = A-B */
+ /* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */
+ /* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */
+ fe_sub(r->X, r->Z, r->Y);
+
+ /* qhasm: Y3 = A+B */
+ /* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
+ /* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */
+ fe_add(r->Y, r->Z, r->Y);
+
+ /* qhasm: Z3 = D+C */
+ /* asm 1: fe_add(>Z3=fe#3,<D=fe#5,<C=fe#4); */
+ /* asm 2: fe_add(>Z3=r->Z,<D=t0,<C=r->T); */
+ fe_add(r->Z, t0, r->T);
+
+ /* qhasm: T3 = D-C */
+ /* asm 1: fe_sub(>T3=fe#4,<D=fe#5,<C=fe#4); */
+ /* asm 2: fe_sub(>T3=r->T,<D=t0,<C=r->T); */
+ fe_sub(r->T, t0, r->T);
+ }
+
+/*
+r = p + q
+*/
+
+void ge_madd(ge_p1p1* r, const ge_p3* p, const ge_precomp* q)
+ {
+ fe t0;
+ /* qhasm: YpX1 = Y1+X1 */
+ fe_add(r->X, p->Y, p->X);
+
+ /* qhasm: YmX1 = Y1-X1 */
+ fe_sub(r->Y, p->Y, p->X);
+
+ /* qhasm: A = YpX1*ypx2 */
+ fe_mul(r->Z, r->X, q->yplusx);
+
+ /* qhasm: B = YmX1*ymx2 */
+ fe_mul(r->Y, r->Y, q->yminusx);
+
+ /* qhasm: C = xy2d2*T1 */
+ fe_mul(r->T, q->xy2d, p->T);
+
+ /* qhasm: D = 2*Z1 */
+ fe_add(t0, p->Z, p->Z);
+
+ /* qhasm: X3 = A-B */
+ fe_sub(r->X, r->Z, r->Y);
+
+ /* qhasm: Y3 = A+B */
+ fe_add(r->Y, r->Z, r->Y);
+
+ /* qhasm: Z3 = D+C */
+ fe_add(r->Z, t0, r->T);
+
+ /* qhasm: T3 = D-C */
+ fe_sub(r->T, t0, r->T);
+ }
+
+/*
+r = p - q
+*/
+
+void ge_msub(ge_p1p1* r, const ge_p3* p, const ge_precomp* q)
+ {
+ fe t0;
+
+ /* qhasm: YpX1 = Y1+X1 */
+ /* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
+ /* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */
+ fe_add(r->X, p->Y, p->X);
+
+ /* qhasm: YmX1 = Y1-X1 */
+ /* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
+ /* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */
+ fe_sub(r->Y, p->Y, p->X);
+
+ /* qhasm: A = YpX1*ymx2 */
+ /* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<ymx2=fe#16); */
+ /* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<ymx2=q->yminusx); */
+ fe_mul(r->Z, r->X, q->yminusx);
+
+ /* qhasm: B = YmX1*ypx2 */
+ /* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<ypx2=fe#15); */
+ /* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<ypx2=q->yplusx); */
+ fe_mul(r->Y, r->Y, q->yplusx);
+
+ /* qhasm: C = xy2d2*T1 */
+ /* asm 1: fe_mul(>C=fe#4,<xy2d2=fe#17,<T1=fe#14); */
+ /* asm 2: fe_mul(>C=r->T,<xy2d2=q->xy2d,<T1=p->T); */
+ fe_mul(r->T, q->xy2d, p->T);
+
+ /* qhasm: D = 2*Z1 */
+ /* asm 1: fe_add(>D=fe#5,<Z1=fe#13,<Z1=fe#13); */
+ /* asm 2: fe_add(>D=t0,<Z1=p->Z,<Z1=p->Z); */
+ fe_add(t0, p->Z, p->Z);
+
+ /* qhasm: X3 = A-B */
+ /* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */
+ /* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */
+ fe_sub(r->X, r->Z, r->Y);
+
+ /* qhasm: Y3 = A+B */
+ /* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
+ /* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */
+ fe_add(r->Y, r->Z, r->Y);
+
+ /* qhasm: Z3 = D-C */
+ /* asm 1: fe_sub(>Z3=fe#3,<D=fe#5,<C=fe#4); */
+ /* asm 2: fe_sub(>Z3=r->Z,<D=t0,<C=r->T); */
+ fe_sub(r->Z, t0, r->T);
+
+ /* qhasm: T3 = D+C */
+ /* asm 1: fe_add(>T3=fe#4,<D=fe#5,<C=fe#4); */
+ /* asm 2: fe_add(>T3=r->T,<D=t0,<C=r->T); */
+ fe_add(r->T, t0, r->T);
+
+ }
+
+/*
+r = p
+*/
+
+void ge_p1p1_to_p2(ge_p2* r, const ge_p1p1* p)
+ {
+ fe_mul(r->X, p->X, p->T);
+ fe_mul(r->Y, p->Y, p->Z);
+ fe_mul(r->Z, p->Z, p->T);
+ }
+
+/*
+r = p
+*/
+
+void ge_p1p1_to_p3(ge_p3* r, const ge_p1p1* p)
+ {
+ fe_mul(r->X, p->X, p->T);
+ fe_mul(r->Y, p->Y, p->Z);
+ fe_mul(r->Z, p->Z, p->T);
+ fe_mul(r->T, p->X, p->Y);
+ }
+
+/*
+r = 2 * p
+*/
+
+void ge_p2_dbl(ge_p1p1* r, const ge_p2* p)
+ {
+ fe t0;
+ /* qhasm: XX=X1^2 */
+ /* asm 1: fe_sq(>XX=fe#1,<X1=fe#11); */
+ /* asm 2: fe_sq(>XX=r->X,<X1=p->X); */
+ fe_sq(r->X, p->X);
+
+ /* qhasm: YY=Y1^2 */
+ /* asm 1: fe_sq(>YY=fe#3,<Y1=fe#12); */
+ /* asm 2: fe_sq(>YY=r->Z,<Y1=p->Y); */
+ fe_sq(r->Z, p->Y);
+
+ /* qhasm: B=2*Z1^2 */
+ /* asm 1: fe_sq2(>B=fe#4,<Z1=fe#13); */
+ /* asm 2: fe_sq2(>B=r->T,<Z1=p->Z); */
+ fe_sq2(r->T, p->Z);
+
+ /* qhasm: A=X1+Y1 */
+ /* asm 1: fe_add(>A=fe#2,<X1=fe#11,<Y1=fe#12); */
+ /* asm 2: fe_add(>A=r->Y,<X1=p->X,<Y1=p->Y); */
+ fe_add(r->Y, p->X, p->Y);
+
+ /* qhasm: AA=A^2 */
+ /* asm 1: fe_sq(>AA=fe#5,<A=fe#2); */
+ /* asm 2: fe_sq(>AA=t0,<A=r->Y); */
+ fe_sq(t0, r->Y);
+
+ /* qhasm: Y3=YY+XX */
+ /* asm 1: fe_add(>Y3=fe#2,<YY=fe#3,<XX=fe#1); */
+ /* asm 2: fe_add(>Y3=r->Y,<YY=r->Z,<XX=r->X); */
+ fe_add(r->Y, r->Z, r->X);
+
+ /* qhasm: Z3=YY-XX */
+ /* asm 1: fe_sub(>Z3=fe#3,<YY=fe#3,<XX=fe#1); */
+ /* asm 2: fe_sub(>Z3=r->Z,<YY=r->Z,<XX=r->X); */
+ fe_sub(r->Z, r->Z, r->X);
+
+ /* qhasm: X3=AA-Y3 */
+ /* asm 1: fe_sub(>X3=fe#1,<AA=fe#5,<Y3=fe#2); */
+ /* asm 2: fe_sub(>X3=r->X,<AA=t0,<Y3=r->Y); */
+ fe_sub(r->X, t0, r->Y);
+
+ /* qhasm: T3=B-Z3 */
+ /* asm 1: fe_sub(>T3=fe#4,<B=fe#4,<Z3=fe#3); */
+ /* asm 2: fe_sub(>T3=r->T,<B=r->T,<Z3=r->Z); */
+ fe_sub(r->T, r->T, r->Z);
+ }
+
+void ge_p3_0(ge_p3* h)
+ {
+ fe_0(h->X);
+ fe_1(h->Y);
+ fe_1(h->Z);
+ fe_0(h->T);
+ }
+
+/*
+r = 2 * p
+*/
+
+void ge_p3_dbl(ge_p1p1* r, const ge_p3* p)
+ {
+ ge_p2 q;
+ // Convert to p2 rep
+ q.X = p->X;
+ q.Y = p->Y;
+ q.Z = p->Z;
+ ge_p2_dbl(r, &q);
+ }
+
+/*
+r = p
+*/
+
+
+void ge_p3_to_cached(ge_cached* r, const ge_p3* p)
+ {
+ static const fe d2 =
+ {
+ -21827239, -5839606, -30745221, 13898782, 229458, 15978800, -12551817, -6495438, 29715968, 9444199
+ } ;
+ fe_add(r->YplusX, p->Y, p->X);
+ fe_sub(r->YminusX, p->Y, p->X);
+ fe_copy(r->Z, p->Z);
+ fe_mul(r->T2d, p->T, d2);
+ }
+
+/*
+r = p - q
+*/
+
+void ge_sub(ge_p1p1* r, const ge_p3* p, const ge_cached* q)
+ {
+ fe t0;
+ /* qhasm: YpX1 = Y1+X1 */
+ /* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
+ /* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */
+ fe_add(r->X, p->Y, p->X);
+
+ /* qhasm: YmX1 = Y1-X1 */
+ /* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
+ /* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */
+ fe_sub(r->Y, p->Y, p->X);
+
+ /* qhasm: A = YpX1*YmX2 */
+ /* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<YmX2=fe#16); */
+ /* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<YmX2=q->YminusX); */
+ fe_mul(r->Z, r->X, q->YminusX);
+
+ /* qhasm: B = YmX1*YpX2 */
+ /* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<YpX2=fe#15); */
+ /* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<YpX2=q->YplusX); */
+ fe_mul(r->Y, r->Y, q->YplusX);
+
+ /* qhasm: C = T2d2*T1 */
+ /* asm 1: fe_mul(>C=fe#4,<T2d2=fe#18,<T1=fe#14); */
+ /* asm 2: fe_mul(>C=r->T,<T2d2=q->T2d,<T1=p->T); */
+ fe_mul(r->T, q->T2d, p->T);
+
+ /* qhasm: ZZ = Z1*Z2 */
+ /* asm 1: fe_mul(>ZZ=fe#1,<Z1=fe#13,<Z2=fe#17); */
+ /* asm 2: fe_mul(>ZZ=r->X,<Z1=p->Z,<Z2=q->Z); */
+ fe_mul(r->X, p->Z, q->Z);
+
+ /* qhasm: D = 2*ZZ */
+ /* asm 1: fe_add(>D=fe#5,<ZZ=fe#1,<ZZ=fe#1); */
+ /* asm 2: fe_add(>D=t0,<ZZ=r->X,<ZZ=r->X); */
+ fe_add(t0, r->X, r->X);
+
+ /* qhasm: X3 = A-B */
+ /* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */
+ /* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */
+ fe_sub(r->X, r->Z, r->Y);
+
+ /* qhasm: Y3 = A+B */
+ /* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
+ /* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */
+ fe_add(r->Y, r->Z, r->Y);
+
+ /* qhasm: Z3 = D-C */
+ /* asm 1: fe_sub(>Z3=fe#3,<D=fe#5,<C=fe#4); */
+ /* asm 2: fe_sub(>Z3=r->Z,<D=t0,<C=r->T); */
+ fe_sub(r->Z, t0, r->T);
+
+ /* qhasm: T3 = D+C */
+ /* asm 1: fe_add(>T3=fe#4,<D=fe#5,<C=fe#4); */
+ /* asm 2: fe_add(>T3=r->T,<D=t0,<C=r->T); */
+ fe_add(r->T, t0, r->T);
+
+ }
+
+void slide(int8_t* r, const uint8_t* a)
+ {
+ for(size_t i = 0; i < 256; ++i)
+ {
+ r[i] = 1 & (a[i >> 3] >> (i & 7));
+ }
+
+ for(size_t i = 0; i < 256; ++i)
+ {
+ if(r[i])
+ {
+ for(size_t b = 1; b <= 6 && i + b < 256; ++b)
+ {
+ if(r[i + b])
+ {
+ if(r[i] + (r[i + b] << b) <= 15)
+ {
+ r[i] += r[i + b] << b;
+ r[i + b] = 0;
+ }
+ else if(r[i] - (r[i + b] << b) >= -15)
+ {
+ r[i] -= r[i + b] << b;
+ for(size_t k = i + b; k < 256; ++k)
+ {
+ if(!r[k])
+ {
+ r[k] = 1;
+ break;
+ }
+ r[k] = 0;
+ }
+ }
+ else
+ { break; }
+ }
+ }
+ }
+ }
+ }
+
+void ge_tobytes(uint8_t* s, const ge_p2* h)
+ {
+ fe recip;
+ fe x;
+ fe y;
+
+ fe_invert(recip, h->Z);
+ fe_mul(x, h->X, recip);
+ fe_mul(y, h->Y, recip);
+ fe_tobytes(s, y);
+ s[31] ^= fe_isnegative(x) << 7;
+ }
+
+void ge_p2_0(ge_p2* h)
+ {
+ fe_0(h->X);
+ fe_1(h->Y);
+ fe_1(h->Z);
+ }
+
+}
+
+int ge_frombytes_negate_vartime(ge_p3* h, const uint8_t* s)
+ {
+ static const fe d =
+ {
+ -10913610, 13857413, -15372611, 6949391, 114729, -8787816, -6275908, -3247719, -18696448, -12055116
+ } ;
+ static const fe sqrtm1 =
+ {
+ -32595792, -7943725, 9377950, 3500415, 12389472, -272473, -25146209, -2005654, 326686, 11406482
+ } ;
+
+ fe u;
+ fe v;
+ fe v3;
+ fe vxx;
+ fe check;
+
+ fe_frombytes(h->Y, s);
+ fe_1(h->Z);
+ fe_sq(u, h->Y);
+ fe_mul(v, u, d);
+ fe_sub(u, u, h->Z); /* u = y^2-1 */
+ fe_add(v, v, h->Z); /* v = dy^2+1 */
+
+ fe_sq(v3, v);
+ fe_mul(v3, v3, v); /* v3 = v^3 */
+ fe_sq(h->X, v3);
+ fe_mul(h->X, h->X, v);
+ fe_mul(h->X, h->X, u); /* x = uv^7 */
+
+ fe_pow22523(h->X, h->X); /* x = (uv^7)^((q-5)/8) */
+ fe_mul(h->X, h->X, v3);
+ fe_mul(h->X, h->X, u); /* x = uv^3(uv^7)^((q-5)/8) */
+
+ fe_sq(vxx, h->X);
+ fe_mul(vxx, vxx, v);
+ fe_sub(check, vxx, u); /* vx^2-u */
+ if(fe_isnonzero(check))
+ {
+ fe_add(check, vxx, u); /* vx^2+u */
+ if(fe_isnonzero(check))
+ {
+ return -1;
+ }
+ fe_mul(h->X, h->X, sqrtm1);
+ }
+
+ if(fe_isnegative(h->X) == (s[31] >> 7))
+ { fe_neg(h->X, h->X); }
+
+ fe_mul(h->T, h->X, h->Y);
+ return 0;
+ }
+
+/*
+r = a * A + b * B
+where a = a[0]+256*a[1]+...+256^31 a[31].
+and b = b[0]+256*b[1]+...+256^31 b[31].
+B is the Ed25519 base point (x,4/5) with x positive.
+*/
+
+void ge_double_scalarmult_vartime(
+ uint8_t out[32],
+ const uint8_t* a, const ge_p3* A, const uint8_t* b)
+ {
+ static const ge_precomp Bi[8] =
+ {
+ {
+ { 25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605 },
+ { -12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378 },
+ { -8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546 },
+ },
+ {
+ { 15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024 },
+ { 16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574 },
+ { 30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357 },
+ },
+ {
+ { 10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380 },
+ { 4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306 },
+ { 19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942 },
+ },
+ {
+ { 5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766 },
+ { -30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701 },
+ { 28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300 },
+ },
+ {
+ { -22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877 },
+ { -6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951 },
+ { 4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784 },
+ },
+ {
+ { -25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436 },
+ { 25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918 },
+ { 23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877 },
+ },
+ {
+ { -33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800 },
+ { -25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305 },
+ { -13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300 },
+ },
+ {
+ { -3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876 },
+ { -24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619 },
+ { -3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683 },
+ },
+ } ;
+
+ int8_t aslide[256];
+ int8_t bslide[256];
+ ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */
+ ge_p1p1 t;
+ ge_p3 u;
+ ge_p3 A2;
+ ge_p2 r;
+ int i;
+
+ slide(aslide, a);
+ slide(bslide, b);
+
+ ge_p3_to_cached(&Ai[0], A);
+ ge_p3_dbl(&t, A);
+ ge_p1p1_to_p3(&A2, &t);
+ ge_add(&t, &A2, &Ai[0]);
+ ge_p1p1_to_p3(&u, &t);
+ ge_p3_to_cached(&Ai[1], &u);
+ ge_add(&t, &A2, &Ai[1]);
+ ge_p1p1_to_p3(&u, &t);
+ ge_p3_to_cached(&Ai[2], &u);
+ ge_add(&t, &A2, &Ai[2]);
+ ge_p1p1_to_p3(&u, &t);
+ ge_p3_to_cached(&Ai[3], &u);
+ ge_add(&t, &A2, &Ai[3]);
+ ge_p1p1_to_p3(&u, &t);
+ ge_p3_to_cached(&Ai[4], &u);
+ ge_add(&t, &A2, &Ai[4]);
+ ge_p1p1_to_p3(&u, &t);
+ ge_p3_to_cached(&Ai[5], &u);
+ ge_add(&t, &A2, &Ai[5]);
+ ge_p1p1_to_p3(&u, &t);
+ ge_p3_to_cached(&Ai[6], &u);
+ ge_add(&t, &A2, &Ai[6]);
+ ge_p1p1_to_p3(&u, &t);
+ ge_p3_to_cached(&Ai[7], &u);
+
+ ge_p2_0(&r);
+
+ for(i = 255; i >= 0; --i)
+ {
+ if(aslide[i] || bslide[i])
+ {
+ break;
+ }
+ }
+
+ for(; i >= 0; --i)
+ {
+ ge_p2_dbl(&t, &r);
+
+ if(aslide[i] > 0)
+ {
+ ge_p1p1_to_p3(&u, &t);
+ ge_add(&t, &u, &Ai[aslide[i] >> 1]);
+ }
+ else if(aslide[i] < 0)
+ {
+ ge_p1p1_to_p3(&u, &t);
+ ge_sub(&t, &u, &Ai[(-aslide[i]) >> 1]);
+ }
+
+ if(bslide[i] > 0)
+ {
+ ge_p1p1_to_p3(&u, &t);
+ ge_madd(&t, &u, &Bi[bslide[i] >> 1]);
+ }
+ else if(bslide[i] < 0)
+ {
+ ge_p1p1_to_p3(&u, &t);
+ ge_msub(&t, &u, &Bi[(-bslide[i]) >> 1]);
+ }
+
+ ge_p1p1_to_p2(&r, &t);
+ }
+
+ ge_tobytes(out, &r);
+ }
+
+/* base[i][j] = (j+1)*256^i*B */
+static const ge_precomp B_precomp[32][8] =
+ {
+ {
+ {
+ { 25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605 },
+ { -12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378 },
+ { -8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546 },
+ },
+ {
+ { -12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303 },
+ { -21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081 },
+ { 26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697 },
+ },
+ {
+ { 15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024 },
+ { 16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574 },
+ { 30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357 },
+ },
+ {
+ { -17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540 },
+ { 23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397 },
+ { 7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325 },
+ },
+ {
+ { 10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380 },
+ { 4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306 },
+ { 19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942 },
+ },
+ {
+ { -15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777 },
+ { -8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737 },
+ { -18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652 },
+ },
+ {
+ { 5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766 },
+ { -30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701 },
+ { 28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300 },
+ },
+ {
+ { 14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726 },
+ { -7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955 },
+ { 27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425 },
+ },
+ },
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+ { -6898905, 9824394, -12304779, -4401089, -31397141, -6276835, 32574489, 12532905, -7503072, -8675347 },
+ { -27343522, -16515468, -27151524, -10722951, 946346, 16291093, 254968, 7168080, 21676107, -1943028 },
+ { 21260961, -8424752, -16831886, -11920822, -23677961, 3968121, -3651949, -6215466, -3556191, -7913075 },
+ },
+ {
+ { 16544754, 13250366, -16804428, 15546242, -4583003, 12757258, -2462308, -8680336, -18907032, -9662799 },
+ { -2415239, -15577728, 18312303, 4964443, -15272530, -12653564, 26820651, 16690659, 25459437, -4564609 },
+ { -25144690, 11425020, 28423002, -11020557, -6144921, -15826224, 9142795, -2391602, -6432418, -1644817 },
+ },
+ {
+ { -23104652, 6253476, 16964147, -3768872, -25113972, -12296437, -27457225, -16344658, 6335692, 7249989 },
+ { -30333227, 13979675, 7503222, -12368314, -11956721, -4621693, -30272269, 2682242, 25993170, -12478523 },
+ { 4364628, 5930691, 32304656, -10044554, -8054781, 15091131, 22857016, -10598955, 31820368, 15075278 },
+ },
+ {
+ { 31879134, -8918693, 17258761, 90626, -8041836, -4917709, 24162788, -9650886, -17970238, 12833045 },
+ { 19073683, 14851414, -24403169, -11860168, 7625278, 11091125, -19619190, 2074449, -9413939, 14905377 },
+ { 24483667, -11935567, -2518866, -11547418, -1553130, 15355506, -25282080, 9253129, 27628530, -7555480 },
+ },
+ {
+ { 17597607, 8340603, 19355617, 552187, 26198470, -3176583, 4593324, -9157582, -14110875, 15297016 },
+ { 510886, 14337390, -31785257, 16638632, 6328095, 2713355, -20217417, -11864220, 8683221, 2921426 },
+ { 18606791, 11874196, 27155355, -5281482, -24031742, 6265446, -25178240, -1278924, 4674690, 13890525 },
+ },
+ {
+ { 13609624, 13069022, -27372361, -13055908, 24360586, 9592974, 14977157, 9835105, 4389687, 288396 },
+ { 9922506, -519394, 13613107, 5883594, -18758345, -434263, -12304062, 8317628, 23388070, 16052080 },
+ { 12720016, 11937594, -31970060, -5028689, 26900120, 8561328, -20155687, -11632979, -14754271, -10812892 },
+ },
+ {
+ { 15961858, 14150409, 26716931, -665832, -22794328, 13603569, 11829573, 7467844, -28822128, 929275 },
+ { 11038231, -11582396, -27310482, -7316562, -10498527, -16307831, -23479533, -9371869, -21393143, 2465074 },
+ { 20017163, -4323226, 27915242, 1529148, 12396362, 15675764, 13817261, -9658066, 2463391, -4622140 },
+ },
+ {
+ { -16358878, -12663911, -12065183, 4996454, -1256422, 1073572, 9583558, 12851107, 4003896, 12673717 },
+ { -1731589, -15155870, -3262930, 16143082, 19294135, 13385325, 14741514, -9103726, 7903886, 2348101 },
+ { 24536016, -16515207, 12715592, -3862155, 1511293, 10047386, -3842346, -7129159, -28377538, 10048127 },
+ },
+ },
+ {
+ {
+ { -12622226, -6204820, 30718825, 2591312, -10617028, 12192840, 18873298, -7297090, -32297756, 15221632 },
+ { -26478122, -11103864, 11546244, -1852483, 9180880, 7656409, -21343950, 2095755, 29769758, 6593415 },
+ { -31994208, -2907461, 4176912, 3264766, 12538965, -868111, 26312345, -6118678, 30958054, 8292160 },
+ },
+ {
+ { 31429822, -13959116, 29173532, 15632448, 12174511, -2760094, 32808831, 3977186, 26143136, -3148876 },
+ { 22648901, 1402143, -22799984, 13746059, 7936347, 365344, -8668633, -1674433, -3758243, -2304625 },
+ { -15491917, 8012313, -2514730, -12702462, -23965846, -10254029, -1612713, -1535569, -16664475, 8194478 },
+ },
+ {
+ { 27338066, -7507420, -7414224, 10140405, -19026427, -6589889, 27277191, 8855376, 28572286, 3005164 },
+ { 26287124, 4821776, 25476601, -4145903, -3764513, -15788984, -18008582, 1182479, -26094821, -13079595 },
+ { -7171154, 3178080, 23970071, 6201893, -17195577, -4489192, -21876275, -13982627, 32208683, -1198248 },
+ },
+ {
+ { -16657702, 2817643, -10286362, 14811298, 6024667, 13349505, -27315504, -10497842, -27672585, -11539858 },
+ { 15941029, -9405932, -21367050, 8062055, 31876073, -238629, -15278393, -1444429, 15397331, -4130193 },
+ { 8934485, -13485467, -23286397, -13423241, -32446090, 14047986, 31170398, -1441021, -27505566, 15087184 },
+ },
+ {
+ { -18357243, -2156491, 24524913, -16677868, 15520427, -6360776, -15502406, 11461896, 16788528, -5868942 },
+ { -1947386, 16013773, 21750665, 3714552, -17401782, -16055433, -3770287, -10323320, 31322514, -11615635 },
+ { 21426655, -5650218, -13648287, -5347537, -28812189, -4920970, -18275391, -14621414, 13040862, -12112948 },
+ },
+ {
+ { 11293895, 12478086, -27136401, 15083750, -29307421, 14748872, 14555558, -13417103, 1613711, 4896935 },
+ { -25894883, 15323294, -8489791, -8057900, 25967126, -13425460, 2825960, -4897045, -23971776, -11267415 },
+ { -15924766, -5229880, -17443532, 6410664, 3622847, 10243618, 20615400, 12405433, -23753030, -8436416 },
+ },
+ {
+ { -7091295, 12556208, -20191352, 9025187, -17072479, 4333801, 4378436, 2432030, 23097949, -566018 },
+ { 4565804, -16025654, 20084412, -7842817, 1724999, 189254, 24767264, 10103221, -18512313, 2424778 },
+ { 366633, -11976806, 8173090, -6890119, 30788634, 5745705, -7168678, 1344109, -3642553, 12412659 },
+ },
+ {
+ { -24001791, 7690286, 14929416, -168257, -32210835, -13412986, 24162697, -15326504, -3141501, 11179385 },
+ { 18289522, -14724954, 8056945, 16430056, -21729724, 7842514, -6001441, -1486897, -18684645, -11443503 },
+ { 476239, 6601091, -6152790, -9723375, 17503545, -4863900, 27672959, 13403813, 11052904, 5219329 },
+ },
+ },
+ {
+ {
+ { 20678546, -8375738, -32671898, 8849123, -5009758, 14574752, 31186971, -3973730, 9014762, -8579056 },
+ { -13644050, -10350239, -15962508, 5075808, -1514661, -11534600, -33102500, 9160280, 8473550, -3256838 },
+ { 24900749, 14435722, 17209120, -15292541, -22592275, 9878983, -7689309, -16335821, -24568481, 11788948 },
+ },
+ {
+ { -3118155, -11395194, -13802089, 14797441, 9652448, -6845904, -20037437, 10410733, -24568470, -1458691 },
+ { -15659161, 16736706, -22467150, 10215878, -9097177, 7563911, 11871841, -12505194, -18513325, 8464118 },
+ { -23400612, 8348507, -14585951, -861714, -3950205, -6373419, 14325289, 8628612, 33313881, -8370517 },
+ },
+ {
+ { -20186973, -4967935, 22367356, 5271547, -1097117, -4788838, -24805667, -10236854, -8940735, -5818269 },
+ { -6948785, -1795212, -32625683, -16021179, 32635414, -7374245, 15989197, -12838188, 28358192, -4253904 },
+ { -23561781, -2799059, -32351682, -1661963, -9147719, 10429267, -16637684, 4072016, -5351664, 5596589 },
+ },
+ {
+ { -28236598, -3390048, 12312896, 6213178, 3117142, 16078565, 29266239, 2557221, 1768301, 15373193 },
+ { -7243358, -3246960, -4593467, -7553353, -127927, -912245, -1090902, -4504991, -24660491, 3442910 },
+ { -30210571, 5124043, 14181784, 8197961, 18964734, -11939093, 22597931, 7176455, -18585478, 13365930 },
+ },
+ {
+ { -7877390, -1499958, 8324673, 4690079, 6261860, 890446, 24538107, -8570186, -9689599, -3031667 },
+ { 25008904, -10771599, -4305031, -9638010, 16265036, 15721635, 683793, -11823784, 15723479, -15163481 },
+ { -9660625, 12374379, -27006999, -7026148, -7724114, -12314514, 11879682, 5400171, 519526, -1235876 },
+ },
+ {
+ { 22258397, -16332233, -7869817, 14613016, -22520255, -2950923, -20353881, 7315967, 16648397, 7605640 },
+ { -8081308, -8464597, -8223311, 9719710, 19259459, -15348212, 23994942, -5281555, -9468848, 4763278 },
+ { -21699244, 9220969, -15730624, 1084137, -25476107, -2852390, 31088447, -7764523, -11356529, 728112 },
+ },
+ {
+ { 26047220, -11751471, -6900323, -16521798, 24092068, 9158119, -4273545, -12555558, -29365436, -5498272 },
+ { 17510331, -322857, 5854289, 8403524, 17133918, -3112612, -28111007, 12327945, 10750447, 10014012 },
+ { -10312768, 3936952, 9156313, -8897683, 16498692, -994647, -27481051, -666732, 3424691, 7540221 },
+ },
+ {
+ { 30322361, -6964110, 11361005, -4143317, 7433304, 4989748, -7071422, -16317219, -9244265, 15258046 },
+ { 13054562, -2779497, 19155474, 469045, -12482797, 4566042, 5631406, 2711395, 1062915, -5136345 },
+ { -19240248, -11254599, -29509029, -7499965, -5835763, 13005411, -6066489, 12194497, 32960380, 1459310 },
+ },
+ },
+ {
+ {
+ { 19852034, 7027924, 23669353, 10020366, 8586503, -6657907, 394197, -6101885, 18638003, -11174937 },
+ { 31395534, 15098109, 26581030, 8030562, -16527914, -5007134, 9012486, -7584354, -6643087, -5442636 },
+ { -9192165, -2347377, -1997099, 4529534, 25766844, 607986, -13222, 9677543, -32294889, -6456008 },
+ },
+ {
+ { -2444496, -149937, 29348902, 8186665, 1873760, 12489863, -30934579, -7839692, -7852844, -8138429 },
+ { -15236356, -15433509, 7766470, 746860, 26346930, -10221762, -27333451, 10754588, -9431476, 5203576 },
+ { 31834314, 14135496, -770007, 5159118, 20917671, -16768096, -7467973, -7337524, 31809243, 7347066 },
+ },
+ {
+ { -9606723, -11874240, 20414459, 13033986, 13716524, -11691881, 19797970, -12211255, 15192876, -2087490 },
+ { -12663563, -2181719, 1168162, -3804809, 26747877, -14138091, 10609330, 12694420, 33473243, -13382104 },
+ { 33184999, 11180355, 15832085, -11385430, -1633671, 225884, 15089336, -11023903, -6135662, 14480053 },
+ },
+ {
+ { 31308717, -5619998, 31030840, -1897099, 15674547, -6582883, 5496208, 13685227, 27595050, 8737275 },
+ { -20318852, -15150239, 10933843, -16178022, 8335352, -7546022, -31008351, -12610604, 26498114, 66511 },
+ { 22644454, -8761729, -16671776, 4884562, -3105614, -13559366, 30540766, -4286747, -13327787, -7515095 },
+ },
+ {
+ { -28017847, 9834845, 18617207, -2681312, -3401956, -13307506, 8205540, 13585437, -17127465, 15115439 },
+ { 23711543, -672915, 31206561, -8362711, 6164647, -9709987, -33535882, -1426096, 8236921, 16492939 },
+ { -23910559, -13515526, -26299483, -4503841, 25005590, -7687270, 19574902, 10071562, 6708380, -6222424 },
+ },
+ {
+ { 2101391, -4930054, 19702731, 2367575, -15427167, 1047675, 5301017, 9328700, 29955601, -11678310 },
+ { 3096359, 9271816, -21620864, -15521844, -14847996, -7592937, -25892142, -12635595, -9917575, 6216608 },
+ { -32615849, 338663, -25195611, 2510422, -29213566, -13820213, 24822830, -6146567, -26767480, 7525079 },
+ },
+ {
+ { -23066649, -13985623, 16133487, -7896178, -3389565, 778788, -910336, -2782495, -19386633, 11994101 },
+ { 21691500, -13624626, -641331, -14367021, 3285881, -3483596, -25064666, 9718258, -7477437, 13381418 },
+ { 18445390, -4202236, 14979846, 11622458, -1727110, -3582980, 23111648, -6375247, 28535282, 15779576 },
+ },
+ {
+ { 30098053, 3089662, -9234387, 16662135, -21306940, 11308411, -14068454, 12021730, 9955285, -16303356 },
+ { 9734894, -14576830, -7473633, -9138735, 2060392, 11313496, -18426029, 9924399, 20194861, 13380996 },
+ { -26378102, -7965207, -22167821, 15789297, -18055342, -6168792, -1984914, 15707771, 26342023, 10146099 },
+ },
+ },
+ {
+ {
+ { -26016874, -219943, 21339191, -41388, 19745256, -2878700, -29637280, 2227040, 21612326, -545728 },
+ { -13077387, 1184228, 23562814, -5970442, -20351244, -6348714, 25764461, 12243797, -20856566, 11649658 },
+ { -10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, 6114064, 33514190, 2333242 },
+ },
+ {
+ { -21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -6679750, -12670638, 24350578, -13450001 },
+ { -4116307, -11271533, -23886186, 4843615, -30088339, 690623, -31536088, -10406836, 8317860, 12352766 },
+ { 18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -23552096, -2287550, 20712163, 6719373 },
+ },
+ {
+ { 26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -3763210, 26224235, -3297458 },
+ { -17168938, -14854097, -3395676, -16369877, -19954045, 14050420, 21728352, 9493610, 18620611, -16428628 },
+ { -13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -5269471, -9725556, -30701573, -16479657 },
+ },
+ {
+ { -23860538, -11233159, 26961357, 1640861, -32413112, -16737940, 12248509, -5240639, 13735342, 1934062 },
+ { 25089769, 6742589, 17081145, -13406266, 21909293, -16067981, -15136294, -3765346, -21277997, 5473616 },
+ { 31883677, -7961101, 1083432, -11572403, 22828471, 13290673, -7125085, 12469656, 29111212, -5451014 },
+ },
+ {
+ { 24244947, -15050407, -26262976, 2791540, -14997599, 16666678, 24367466, 6388839, -10295587, 452383 },
+ { -25640782, -3417841, 5217916, 16224624, 19987036, -4082269, -24236251, -5915248, 15766062, 8407814 },
+ { -20406999, 13990231, 15495425, 16395525, 5377168, 15166495, -8917023, -4388953, -8067909, 2276718 },
+ },
+ {
+ { 30157918, 12924066, -17712050, 9245753, 19895028, 3368142, -23827587, 5096219, 22740376, -7303417 },
+ { 2041139, -14256350, 7783687, 13876377, -25946985, -13352459, 24051124, 13742383, -15637599, 13295222 },
+ { 33338237, -8505733, 12532113, 7977527, 9106186, -1715251, -17720195, -4612972, -4451357, -14669444 },
+ },
+ {
+ { -20045281, 5454097, -14346548, 6447146, 28862071, 1883651, -2469266, -4141880, 7770569, 9620597 },
+ { 23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, -1694323, -33502340, -14767970 },
+ { 1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, 1220118, 30494170, -11440799 },
+ },
+ {
+ { -5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -26739026, 926050, -1684339, -13333647 },
+ { 13908495, -3549272, 30919928, -6273825, -21521863, 7989039, 9021034, 9078865, 3353509, 4033511 },
+ { -29663431, -15113610, 32259991, -344482, 24295849, -12912123, 23161163, 8839127, 27485041, 7356032 },
+ },
+ },
+ {
+ {
+ { 9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, 2625015, 28431036, -16771834 },
+ { -23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -22545972, 14150565, 15970762, 4099461 },
+ { 29262576, 16756590, 26350592, -8793563, 8529671, -11208050, 13617293, -9937143, 11465739, 8317062 },
+ },
+ {
+ { -25493081, -6962928, 32500200, -9419051, -23038724, -2302222, 14898637, 3848455, 20969334, -5157516 },
+ { -20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -21610826, -3649888, 11177095, 14989547 },
+ { -24496721, -11716016, 16959896, 2278463, 12066309, 10137771, 13515641, 2581286, -28487508, 9930240 },
+ },
+ {
+ { -17751622, -2097826, 16544300, -13009300, -15914807, -14949081, 18345767, -13403753, 16291481, -5314038 },
+ { -33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, 6957617, 4368891, 9788741 },
+ { 16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -21722536, -8613148, 16250552, -11111103 },
+ },
+ {
+ { -19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, 10604807, -30190403, 4782747 },
+ { -1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -9981571, 4383045, 22546403, 437323 },
+ { 31665577, -12180464, -16186830, 1491339, -18368625, 3294682, 27343084, 2786261, -30633590, -14097016 },
+ },
+ {
+ { -14467279, -683715, -33374107, 7448552, 19294360, 14334329, -19690631, 2355319, -19284671, -6114373 },
+ { 15121312, -15796162, 6377020, -6031361, -10798111, -12957845, 18952177, 15496498, -29380133, 11754228 },
+ { -2637277, -13483075, 8488727, -14303896, 12728761, -1622493, 7141596, 11724556, 22761615, -10134141 },
+ },
+ {
+ { 16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -28741185, -12227393, 32851222, 11717399 },
+ { 11166634, 7338049, -6722523, 4531520, -29468672, -7302055, 31474879, 3483633, -1193175, -4030831 },
+ { -185635, 9921305, 31456609, -13536438, -12013818, 13348923, 33142652, 6546660, -19985279, -3948376 },
+ },
+ {
+ { -32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -8537131, -12833048, -30772034, -15486313 },
+ { -18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -31135347, -16049879, 10928917, 3011958 },
+ { -6957757, -15594337, 31696059, 334240, 29576716, 14796075, -30831056, -12805180, 18008031, 10258577 },
+ },
+ {
+ { -22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -1853465, 1367120, 25127874, 6671743 },
+ { 29701166, -14373934, -10878120, 9279288, -17568, 13127210, 21382910, 11042292, 25838796, 4642684 },
+ { -20430234, 14955537, -24126347, 8124619, -5369288, -5990470, 30468147, -13900640, 18423289, 4177476 },
+ },
+ },
+ } ;
+
+namespace {
+
+inline uint8_t equal(int8_t b, int8_t c)
+ {
+ uint8_t ub = b;
+ uint8_t uc = c;
+ uint8_t x = ub ^ uc; /* 0: yes; 1..255: no */
+ uint32_t y = x; /* 0: yes; 1..255: no */
+ y -= 1; /* 4294967295: yes; 0..254: no */
+ y >>= 31; /* 1: yes; 0: no */
+ return y;
+ }
+
+inline int32_t equal32(int8_t b, int8_t c)
+ {
+ return -static_cast<int32_t>(equal(b, c));
+ }
+
+inline uint8_t negative(int8_t b)
+ {
+ uint64_t x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */
+ x >>= 63; /* 1: yes; 0: no */
+ return x;
+ }
+
+inline void ge_precomp_0(ge_precomp* h)
+ {
+ fe_1(h->yplusx);
+ fe_1(h->yminusx);
+ fe_0(h->xy2d);
+ }
+
+inline void select(ge_precomp* t,
+ const ge_precomp* base,
+ int8_t b)
+ {
+ uint8_t bnegative = negative(b);
+ uint8_t babs = b - (((-bnegative) & b) << 1);
+
+ ge_precomp_0(t);
+
+ const int32_t mask1 = equal32(babs, 1);
+ const int32_t mask2 = equal32(babs, 2);
+ const int32_t mask3 = equal32(babs, 3);
+ const int32_t mask4 = equal32(babs, 4);
+ const int32_t mask5 = equal32(babs, 5);
+ const int32_t mask6 = equal32(babs, 6);
+ const int32_t mask7 = equal32(babs, 7);
+ const int32_t mask8 = equal32(babs, 8);
+
+ for(size_t i = 0; i != 10; ++i)
+ {
+ t->yplusx[i] = t->yplusx[i] ^
+ ((t->yplusx[i] ^ base[0].yplusx[i]) & mask1) ^
+ ((t->yplusx[i] ^ base[1].yplusx[i]) & mask2) ^
+ ((t->yplusx[i] ^ base[2].yplusx[i]) & mask3) ^
+ ((t->yplusx[i] ^ base[3].yplusx[i]) & mask4) ^
+ ((t->yplusx[i] ^ base[4].yplusx[i]) & mask5) ^
+ ((t->yplusx[i] ^ base[5].yplusx[i]) & mask6) ^
+ ((t->yplusx[i] ^ base[6].yplusx[i]) & mask7) ^
+ ((t->yplusx[i] ^ base[7].yplusx[i]) & mask8);
+
+ t->yminusx[i] = t->yminusx[i] ^
+ ((t->yminusx[i] ^ base[0].yminusx[i]) & mask1) ^
+ ((t->yminusx[i] ^ base[1].yminusx[i]) & mask2) ^
+ ((t->yminusx[i] ^ base[2].yminusx[i]) & mask3) ^
+ ((t->yminusx[i] ^ base[3].yminusx[i]) & mask4) ^
+ ((t->yminusx[i] ^ base[4].yminusx[i]) & mask5) ^
+ ((t->yminusx[i] ^ base[5].yminusx[i]) & mask6) ^
+ ((t->yminusx[i] ^ base[6].yminusx[i]) & mask7) ^
+ ((t->yminusx[i] ^ base[7].yminusx[i]) & mask8);
+
+ t->xy2d[i] = t->xy2d[i] ^
+ ((t->xy2d[i] ^ base[0].xy2d[i]) & mask1) ^
+ ((t->xy2d[i] ^ base[1].xy2d[i]) & mask2) ^
+ ((t->xy2d[i] ^ base[2].xy2d[i]) & mask3) ^
+ ((t->xy2d[i] ^ base[3].xy2d[i]) & mask4) ^
+ ((t->xy2d[i] ^ base[4].xy2d[i]) & mask5) ^
+ ((t->xy2d[i] ^ base[5].xy2d[i]) & mask6) ^
+ ((t->xy2d[i] ^ base[6].xy2d[i]) & mask7) ^
+ ((t->xy2d[i] ^ base[7].xy2d[i]) & mask8);
+ }
+
+ const int32_t neg_mask = equal32(bnegative, 1);
+
+ fe minus_xy2d;
+ fe_neg(minus_xy2d, t->xy2d);
+
+ // If negative have to swap yminusx and yplusx
+ for(size_t i = 0; i != 10; ++i)
+ {
+ int32_t t_yplusx = t->yplusx[i] ^ ((t->yplusx[i] ^ t->yminusx[i]) & neg_mask);
+ int32_t t_yminusx = t->yminusx[i] ^ ((t->yminusx[i] ^ t->yplusx[i]) & neg_mask);
+
+ t->yplusx[i] = t_yplusx;
+ t->yminusx[i] = t_yminusx;
+ t->xy2d[i] = t->xy2d[i] ^ ((t->xy2d[i] ^ minus_xy2d[i]) & neg_mask);
+ }
+ }
+
+void ge_p3_tobytes(uint8_t* s, const ge_p3* h)
+ {
+ fe recip;
+ fe x;
+ fe y;
+
+ fe_invert(recip, h->Z);
+ fe_mul(x, h->X, recip);
+ fe_mul(y, h->Y, recip);
+ fe_tobytes(s, y);
+ s[31] ^= fe_isnegative(x) << 7;
+ }
+
+}
+
+/*
+h = a * B
+where a = a[0]+256*a[1]+...+256^31 a[31]
+B is the Ed25519 base point (x,4/5) with x positive.
+
+Preconditions:
+ a[31] <= 127
+*/
+
+void ge_scalarmult_base(uint8_t out[32], const uint8_t a[32])
+ {
+ int8_t e[64];
+ int8_t carry;
+ ge_p1p1 r;
+ ge_p2 s;
+ ge_p3 h;
+ ge_precomp t;
+ int i;
+
+ for(i = 0; i < 32; ++i)
+ {
+ e[2 * i + 0] = (a[i] >> 0) & 15;
+ e[2 * i + 1] = (a[i] >> 4) & 15;
+ }
+ /* each e[i] is between 0 and 15 */
+ /* e[63] is between 0 and 7 */
+
+ carry = 0;
+ for(i = 0; i < 63; ++i)
+ {
+ e[i] += carry;
+ carry = e[i] + 8;
+ carry >>= 4;
+ e[i] -= carry << 4;
+ }
+ e[63] += carry;
+ /* each e[i] is between -8 and 8 */
+
+ ge_p3_0(&h);
+ for(i = 1; i < 64; i += 2)
+ {
+ select(&t, B_precomp[i / 2], e[i]);
+ ge_madd(&r, &h, &t);
+ ge_p1p1_to_p3(&h, &r);
+ }
+
+ ge_p3_dbl(&r, &h);
+ ge_p1p1_to_p2(&s, &r);
+ ge_p2_dbl(&r, &s);
+ ge_p1p1_to_p2(&s, &r);
+ ge_p2_dbl(&r, &s);
+ ge_p1p1_to_p2(&s, &r);
+ ge_p2_dbl(&r, &s);
+ ge_p1p1_to_p3(&h, &r);
+
+ for(i = 0; i < 64; i += 2)
+ {
+ select(&t, B_precomp[i / 2], e[i]);
+ ge_madd(&r, &h, &t);
+ ge_p1p1_to_p3(&h, &r);
+ }
+
+ ge_p3_tobytes(out, &h);
+ }
+
+}
diff --git a/src/lib/pubkey/ed25519/info.txt b/src/lib/pubkey/ed25519/info.txt
new file mode 100644
index 000000000..f17b86cbf
--- /dev/null
+++ b/src/lib/pubkey/ed25519/info.txt
@@ -0,0 +1,17 @@
+<defines>
+ED25519 -> 20170607
+</defines>
+
+<requires>
+sha2_64
+</requires>
+
+<header:public>
+ed25519.h
+</header:public>
+
+<header:internal>
+ed25519_fe.h
+ed25519_internal.h
+</header:internal>
+
diff --git a/src/lib/pubkey/ed25519/sc_muladd.cpp b/src/lib/pubkey/ed25519/sc_muladd.cpp
new file mode 100644
index 000000000..e4dcf3401
--- /dev/null
+++ b/src/lib/pubkey/ed25519/sc_muladd.cpp
@@ -0,0 +1,498 @@
+/*
+* Ed25519
+* (C) 2017 Ribose Inc
+*
+* Based on the public domain code from SUPERCOP ref10 by
+* Peter Schwabe, Daniel J. Bernstein, Niels Duif, Tanja Lange, Bo-Yin Yang
+*
+* Botan is released under the Simplified BSD License (see license.txt)
+*/
+
+#include <botan/internal/ed25519_internal.h>
+
+namespace Botan {
+
+/*
+Input:
+ a[0]+256*a[1]+...+256^31*a[31] = a
+ b[0]+256*b[1]+...+256^31*b[31] = b
+ c[0]+256*c[1]+...+256^31*c[31] = c
+
+Output:
+ s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l
+ where l = 2^252 + 27742317777372353535851937790883648493.
+*/
+
+void sc_muladd(uint8_t* s, const uint8_t* a, const uint8_t* b, const uint8_t* c)
+ {
+ int64_t a0 = 2097151 & load_3(a);
+ int64_t a1 = 2097151 & (load_4(a + 2) >> 5);
+ int64_t a2 = 2097151 & (load_3(a + 5) >> 2);
+ int64_t a3 = 2097151 & (load_4(a + 7) >> 7);
+ int64_t a4 = 2097151 & (load_4(a + 10) >> 4);
+ int64_t a5 = 2097151 & (load_3(a + 13) >> 1);
+ int64_t a6 = 2097151 & (load_4(a + 15) >> 6);
+ int64_t a7 = 2097151 & (load_3(a + 18) >> 3);
+ int64_t a8 = 2097151 & load_3(a + 21);
+ int64_t a9 = 2097151 & (load_4(a + 23) >> 5);
+ int64_t a10 = 2097151 & (load_3(a + 26) >> 2);
+ int64_t a11 = (load_4(a + 28) >> 7);
+ int64_t b0 = 2097151 & load_3(b);
+ int64_t b1 = 2097151 & (load_4(b + 2) >> 5);
+ int64_t b2 = 2097151 & (load_3(b + 5) >> 2);
+ int64_t b3 = 2097151 & (load_4(b + 7) >> 7);
+ int64_t b4 = 2097151 & (load_4(b + 10) >> 4);
+ int64_t b5 = 2097151 & (load_3(b + 13) >> 1);
+ int64_t b6 = 2097151 & (load_4(b + 15) >> 6);
+ int64_t b7 = 2097151 & (load_3(b + 18) >> 3);
+ int64_t b8 = 2097151 & load_3(b + 21);
+ int64_t b9 = 2097151 & (load_4(b + 23) >> 5);
+ int64_t b10 = 2097151 & (load_3(b + 26) >> 2);
+ int64_t b11 = (load_4(b + 28) >> 7);
+ int64_t c0 = 2097151 & load_3(c);
+ int64_t c1 = 2097151 & (load_4(c + 2) >> 5);
+ int64_t c2 = 2097151 & (load_3(c + 5) >> 2);
+ int64_t c3 = 2097151 & (load_4(c + 7) >> 7);
+ int64_t c4 = 2097151 & (load_4(c + 10) >> 4);
+ int64_t c5 = 2097151 & (load_3(c + 13) >> 1);
+ int64_t c6 = 2097151 & (load_4(c + 15) >> 6);
+ int64_t c7 = 2097151 & (load_3(c + 18) >> 3);
+ int64_t c8 = 2097151 & load_3(c + 21);
+ int64_t c9 = 2097151 & (load_4(c + 23) >> 5);
+ int64_t c10 = 2097151 & (load_3(c + 26) >> 2);
+ int64_t c11 = (load_4(c + 28) >> 7);
+ int64_t s0;
+ int64_t s1;
+ int64_t s2;
+ int64_t s3;
+ int64_t s4;
+ int64_t s5;
+ int64_t s6;
+ int64_t s7;
+ int64_t s8;
+ int64_t s9;
+ int64_t s10;
+ int64_t s11;
+ int64_t s12;
+ int64_t s13;
+ int64_t s14;
+ int64_t s15;
+ int64_t s16;
+ int64_t s17;
+ int64_t s18;
+ int64_t s19;
+ int64_t s20;
+ int64_t s21;
+ int64_t s22;
+ int64_t s23;
+ int64_t carry0;
+ int64_t carry1;
+ int64_t carry2;
+ int64_t carry3;
+ int64_t carry4;
+ int64_t carry5;
+ int64_t carry6;
+ int64_t carry7;
+ int64_t carry8;
+ int64_t carry9;
+ int64_t carry10;
+ int64_t carry11;
+ int64_t carry12;
+ int64_t carry13;
+ int64_t carry14;
+ int64_t carry15;
+ int64_t carry16;
+ int64_t carry17;
+ int64_t carry18;
+ int64_t carry19;
+ int64_t carry20;
+ int64_t carry21;
+ int64_t carry22;
+
+ s0 = c0 + a0*b0;
+ s1 = c1 + a0*b1 + a1*b0;
+ s2 = c2 + a0*b2 + a1*b1 + a2*b0;
+ s3 = c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0;
+ s4 = c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0;
+ s5 = c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0;
+ s6 = c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0;
+ s7 = c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0;
+ s8 = c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0;
+ s9 = c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0;
+ s10 = c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0;
+ s11 = c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0;
+ s12 = a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1;
+ s13 = a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2;
+ s14 = a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3;
+ s15 = a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4;
+ s16 = a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5;
+ s17 = a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6;
+ s18 = a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7;
+ s19 = a8*b11 + a9*b10 + a10*b9 + a11*b8;
+ s20 = a9*b11 + a10*b10 + a11*b9;
+ s21 = a10*b11 + a11*b10;
+ s22 = a11*b11;
+ s23 = 0;
+
+ carry0 = (s0 + (1<<20)) >> 21;
+ s1 += carry0;
+ s0 -= carry0 << 21;
+ carry2 = (s2 + (1<<20)) >> 21;
+ s3 += carry2;
+ s2 -= carry2 << 21;
+ carry4 = (s4 + (1<<20)) >> 21;
+ s5 += carry4;
+ s4 -= carry4 << 21;
+ carry6 = (s6 + (1<<20)) >> 21;
+ s7 += carry6;
+ s6 -= carry6 << 21;
+ carry8 = (s8 + (1<<20)) >> 21;
+ s9 += carry8;
+ s8 -= carry8 << 21;
+ carry10 = (s10 + (1<<20)) >> 21;
+ s11 += carry10;
+ s10 -= carry10 << 21;
+ carry12 = (s12 + (1<<20)) >> 21;
+ s13 += carry12;
+ s12 -= carry12 << 21;
+ carry14 = (s14 + (1<<20)) >> 21;
+ s15 += carry14;
+ s14 -= carry14 << 21;
+ carry16 = (s16 + (1<<20)) >> 21;
+ s17 += carry16;
+ s16 -= carry16 << 21;
+ carry18 = (s18 + (1<<20)) >> 21;
+ s19 += carry18;
+ s18 -= carry18 << 21;
+ carry20 = (s20 + (1<<20)) >> 21;
+ s21 += carry20;
+ s20 -= carry20 << 21;
+ carry22 = (s22 + (1<<20)) >> 21;
+ s23 += carry22;
+ s22 -= carry22 << 21;
+
+ carry1 = (s1 + (1<<20)) >> 21;
+ s2 += carry1;
+ s1 -= carry1 << 21;
+ carry3 = (s3 + (1<<20)) >> 21;
+ s4 += carry3;
+ s3 -= carry3 << 21;
+ carry5 = (s5 + (1<<20)) >> 21;
+ s6 += carry5;
+ s5 -= carry5 << 21;
+ carry7 = (s7 + (1<<20)) >> 21;
+ s8 += carry7;
+ s7 -= carry7 << 21;
+ carry9 = (s9 + (1<<20)) >> 21;
+ s10 += carry9;
+ s9 -= carry9 << 21;
+ carry11 = (s11 + (1<<20)) >> 21;
+ s12 += carry11;
+ s11 -= carry11 << 21;
+ carry13 = (s13 + (1<<20)) >> 21;
+ s14 += carry13;
+ s13 -= carry13 << 21;
+ carry15 = (s15 + (1<<20)) >> 21;
+ s16 += carry15;
+ s15 -= carry15 << 21;
+ carry17 = (s17 + (1<<20)) >> 21;
+ s18 += carry17;
+ s17 -= carry17 << 21;
+ carry19 = (s19 + (1<<20)) >> 21;
+ s20 += carry19;
+ s19 -= carry19 << 21;
+ carry21 = (s21 + (1<<20)) >> 21;
+ s22 += carry21;
+ s21 -= carry21 << 21;
+
+ s11 += s23 * 666643;
+ s12 += s23 * 470296;
+ s13 += s23 * 654183;
+ s14 -= s23 * 997805;
+ s15 += s23 * 136657;
+ s16 -= s23 * 683901;
+ s23 = 0;
+
+ s10 += s22 * 666643;
+ s11 += s22 * 470296;
+ s12 += s22 * 654183;
+ s13 -= s22 * 997805;
+ s14 += s22 * 136657;
+ s15 -= s22 * 683901;
+ s22 = 0;
+
+ s9 += s21 * 666643;
+ s10 += s21 * 470296;
+ s11 += s21 * 654183;
+ s12 -= s21 * 997805;
+ s13 += s21 * 136657;
+ s14 -= s21 * 683901;
+ s21 = 0;
+
+ s8 += s20 * 666643;
+ s9 += s20 * 470296;
+ s10 += s20 * 654183;
+ s11 -= s20 * 997805;
+ s12 += s20 * 136657;
+ s13 -= s20 * 683901;
+ s20 = 0;
+
+ s7 += s19 * 666643;
+ s8 += s19 * 470296;
+ s9 += s19 * 654183;
+ s10 -= s19 * 997805;
+ s11 += s19 * 136657;
+ s12 -= s19 * 683901;
+ s19 = 0;
+
+ s6 += s18 * 666643;
+ s7 += s18 * 470296;
+ s8 += s18 * 654183;
+ s9 -= s18 * 997805;
+ s10 += s18 * 136657;
+ s11 -= s18 * 683901;
+ s18 = 0;
+
+ carry6 = (s6 + (1<<20)) >> 21;
+ s7 += carry6;
+ s6 -= carry6 << 21;
+ carry8 = (s8 + (1<<20)) >> 21;
+ s9 += carry8;
+ s8 -= carry8 << 21;
+ carry10 = (s10 + (1<<20)) >> 21;
+ s11 += carry10;
+ s10 -= carry10 << 21;
+ carry12 = (s12 + (1<<20)) >> 21;
+ s13 += carry12;
+ s12 -= carry12 << 21;
+ carry14 = (s14 + (1<<20)) >> 21;
+ s15 += carry14;
+ s14 -= carry14 << 21;
+ carry16 = (s16 + (1<<20)) >> 21;
+ s17 += carry16;
+ s16 -= carry16 << 21;
+
+ carry7 = (s7 + (1<<20)) >> 21;
+ s8 += carry7;
+ s7 -= carry7 << 21;
+ carry9 = (s9 + (1<<20)) >> 21;
+ s10 += carry9;
+ s9 -= carry9 << 21;
+ carry11 = (s11 + (1<<20)) >> 21;
+ s12 += carry11;
+ s11 -= carry11 << 21;
+ carry13 = (s13 + (1<<20)) >> 21;
+ s14 += carry13;
+ s13 -= carry13 << 21;
+ carry15 = (s15 + (1<<20)) >> 21;
+ s16 += carry15;
+ s15 -= carry15 << 21;
+
+ s5 += s17 * 666643;
+ s6 += s17 * 470296;
+ s7 += s17 * 654183;
+ s8 -= s17 * 997805;
+ s9 += s17 * 136657;
+ s10 -= s17 * 683901;
+ s17 = 0;
+
+ s4 += s16 * 666643;
+ s5 += s16 * 470296;
+ s6 += s16 * 654183;
+ s7 -= s16 * 997805;
+ s8 += s16 * 136657;
+ s9 -= s16 * 683901;
+ s16 = 0;
+
+ s3 += s15 * 666643;
+ s4 += s15 * 470296;
+ s5 += s15 * 654183;
+ s6 -= s15 * 997805;
+ s7 += s15 * 136657;
+ s8 -= s15 * 683901;
+ s15 = 0;
+
+ s2 += s14 * 666643;
+ s3 += s14 * 470296;
+ s4 += s14 * 654183;
+ s5 -= s14 * 997805;
+ s6 += s14 * 136657;
+ s7 -= s14 * 683901;
+ s14 = 0;
+
+ s1 += s13 * 666643;
+ s2 += s13 * 470296;
+ s3 += s13 * 654183;
+ s4 -= s13 * 997805;
+ s5 += s13 * 136657;
+ s6 -= s13 * 683901;
+ s13 = 0;
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+ s12 = 0;
+
+ carry0 = (s0 + (1<<20)) >> 21;
+ s1 += carry0;
+ s0 -= carry0 << 21;
+ carry2 = (s2 + (1<<20)) >> 21;
+ s3 += carry2;
+ s2 -= carry2 << 21;
+ carry4 = (s4 + (1<<20)) >> 21;
+ s5 += carry4;
+ s4 -= carry4 << 21;
+ carry6 = (s6 + (1<<20)) >> 21;
+ s7 += carry6;
+ s6 -= carry6 << 21;
+ carry8 = (s8 + (1<<20)) >> 21;
+ s9 += carry8;
+ s8 -= carry8 << 21;
+ carry10 = (s10 + (1<<20)) >> 21;
+ s11 += carry10;
+ s10 -= carry10 << 21;
+
+ carry1 = (s1 + (1<<20)) >> 21;
+ s2 += carry1;
+ s1 -= carry1 << 21;
+ carry3 = (s3 + (1<<20)) >> 21;
+ s4 += carry3;
+ s3 -= carry3 << 21;
+ carry5 = (s5 + (1<<20)) >> 21;
+ s6 += carry5;
+ s5 -= carry5 << 21;
+ carry7 = (s7 + (1<<20)) >> 21;
+ s8 += carry7;
+ s7 -= carry7 << 21;
+ carry9 = (s9 + (1<<20)) >> 21;
+ s10 += carry9;
+ s9 -= carry9 << 21;
+ carry11 = (s11 + (1<<20)) >> 21;
+ s12 += carry11;
+ s11 -= carry11 << 21;
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+ s12 = 0;
+
+ carry0 = s0 >> 21;
+ s1 += carry0;
+ s0 -= carry0 << 21;
+ carry1 = s1 >> 21;
+ s2 += carry1;
+ s1 -= carry1 << 21;
+ carry2 = s2 >> 21;
+ s3 += carry2;
+ s2 -= carry2 << 21;
+ carry3 = s3 >> 21;
+ s4 += carry3;
+ s3 -= carry3 << 21;
+ carry4 = s4 >> 21;
+ s5 += carry4;
+ s4 -= carry4 << 21;
+ carry5 = s5 >> 21;
+ s6 += carry5;
+ s5 -= carry5 << 21;
+ carry6 = s6 >> 21;
+ s7 += carry6;
+ s6 -= carry6 << 21;
+ carry7 = s7 >> 21;
+ s8 += carry7;
+ s7 -= carry7 << 21;
+ carry8 = s8 >> 21;
+ s9 += carry8;
+ s8 -= carry8 << 21;
+ carry9 = s9 >> 21;
+ s10 += carry9;
+ s9 -= carry9 << 21;
+ carry10 = s10 >> 21;
+ s11 += carry10;
+ s10 -= carry10 << 21;
+ carry11 = s11 >> 21;
+ s12 += carry11;
+ s11 -= carry11 << 21;
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+ s12 = 0;
+
+ carry0 = s0 >> 21;
+ s1 += carry0;
+ s0 -= carry0 << 21;
+ carry1 = s1 >> 21;
+ s2 += carry1;
+ s1 -= carry1 << 21;
+ carry2 = s2 >> 21;
+ s3 += carry2;
+ s2 -= carry2 << 21;
+ carry3 = s3 >> 21;
+ s4 += carry3;
+ s3 -= carry3 << 21;
+ carry4 = s4 >> 21;
+ s5 += carry4;
+ s4 -= carry4 << 21;
+ carry5 = s5 >> 21;
+ s6 += carry5;
+ s5 -= carry5 << 21;
+ carry6 = s6 >> 21;
+ s7 += carry6;
+ s6 -= carry6 << 21;
+ carry7 = s7 >> 21;
+ s8 += carry7;
+ s7 -= carry7 << 21;
+ carry8 = s8 >> 21;
+ s9 += carry8;
+ s8 -= carry8 << 21;
+ carry9 = s9 >> 21;
+ s10 += carry9;
+ s9 -= carry9 << 21;
+ carry10 = s10 >> 21;
+ s11 += carry10;
+ s10 -= carry10 << 21;
+
+ s[0] = s0 >> 0;
+ s[1] = s0 >> 8;
+ s[2] = (s0 >> 16) | (s1 << 5);
+ s[3] = s1 >> 3;
+ s[4] = s1 >> 11;
+ s[5] = (s1 >> 19) | (s2 << 2);
+ s[6] = s2 >> 6;
+ s[7] = (s2 >> 14) | (s3 << 7);
+ s[8] = s3 >> 1;
+ s[9] = s3 >> 9;
+ s[10] = (s3 >> 17) | (s4 << 4);
+ s[11] = s4 >> 4;
+ s[12] = s4 >> 12;
+ s[13] = (s4 >> 20) | (s5 << 1);
+ s[14] = s5 >> 7;
+ s[15] = (s5 >> 15) | (s6 << 6);
+ s[16] = s6 >> 2;
+ s[17] = s6 >> 10;
+ s[18] = (s6 >> 18) | (s7 << 3);
+ s[19] = s7 >> 5;
+ s[20] = s7 >> 13;
+ s[21] = s8 >> 0;
+ s[22] = s8 >> 8;
+ s[23] = (s8 >> 16) | (s9 << 5);
+ s[24] = s9 >> 3;
+ s[25] = s9 >> 11;
+ s[26] = (s9 >> 19) | (s10 << 2);
+ s[27] = s10 >> 6;
+ s[28] = (s10 >> 14) | (s11 << 7);
+ s[29] = s11 >> 1;
+ s[30] = s11 >> 9;
+ s[31] = s11 >> 17;
+ }
+
+}
diff --git a/src/lib/pubkey/ed25519/sc_reduce.cpp b/src/lib/pubkey/ed25519/sc_reduce.cpp
new file mode 100644
index 000000000..93dcc6de8
--- /dev/null
+++ b/src/lib/pubkey/ed25519/sc_reduce.cpp
@@ -0,0 +1,359 @@
+/*
+* Ed25519
+* (C) 2017 Ribose Inc
+*
+* Based on the public domain code from SUPERCOP ref10 by
+* Peter Schwabe, Daniel J. Bernstein, Niels Duif, Tanja Lange, Bo-Yin Yang
+*
+* Botan is released under the Simplified BSD License (see license.txt)
+*/
+
+#include <botan/internal/ed25519_internal.h>
+
+namespace Botan {
+
+/*
+Input:
+ s[0]+256*s[1]+...+256^63*s[63] = s
+
+Output:
+ s[0]+256*s[1]+...+256^31*s[31] = s mod l
+ where l = 2^252 + 27742317777372353535851937790883648493.
+ Overwrites s in place.
+*/
+
+void sc_reduce(uint8_t* s)
+ {
+ int64_t s0 = 2097151 & load_3(s);
+ int64_t s1 = 2097151 & (load_4(s + 2) >> 5);
+ int64_t s2 = 2097151 & (load_3(s + 5) >> 2);
+ int64_t s3 = 2097151 & (load_4(s + 7) >> 7);
+ int64_t s4 = 2097151 & (load_4(s + 10) >> 4);
+ int64_t s5 = 2097151 & (load_3(s + 13) >> 1);
+ int64_t s6 = 2097151 & (load_4(s + 15) >> 6);
+ int64_t s7 = 2097151 & (load_3(s + 18) >> 3);
+ int64_t s8 = 2097151 & load_3(s + 21);
+ int64_t s9 = 2097151 & (load_4(s + 23) >> 5);
+ int64_t s10 = 2097151 & (load_3(s + 26) >> 2);
+ int64_t s11 = 2097151 & (load_4(s + 28) >> 7);
+ int64_t s12 = 2097151 & (load_4(s + 31) >> 4);
+ int64_t s13 = 2097151 & (load_3(s + 34) >> 1);
+ int64_t s14 = 2097151 & (load_4(s + 36) >> 6);
+ int64_t s15 = 2097151 & (load_3(s + 39) >> 3);
+ int64_t s16 = 2097151 & load_3(s + 42);
+ int64_t s17 = 2097151 & (load_4(s + 44) >> 5);
+ int64_t s18 = 2097151 & (load_3(s + 47) >> 2);
+ int64_t s19 = 2097151 & (load_4(s + 49) >> 7);
+ int64_t s20 = 2097151 & (load_4(s + 52) >> 4);
+ int64_t s21 = 2097151 & (load_3(s + 55) >> 1);
+ int64_t s22 = 2097151 & (load_4(s + 57) >> 6);
+ int64_t s23 = (load_4(s + 60) >> 3);
+ int64_t carry0;
+ int64_t carry1;
+ int64_t carry2;
+ int64_t carry3;
+ int64_t carry4;
+ int64_t carry5;
+ int64_t carry6;
+ int64_t carry7;
+ int64_t carry8;
+ int64_t carry9;
+ int64_t carry10;
+ int64_t carry11;
+ int64_t carry12;
+ int64_t carry13;
+ int64_t carry14;
+ int64_t carry15;
+ int64_t carry16;
+
+ s11 += s23 * 666643;
+ s12 += s23 * 470296;
+ s13 += s23 * 654183;
+ s14 -= s23 * 997805;
+ s15 += s23 * 136657;
+ s16 -= s23 * 683901;
+ s23 = 0;
+
+ s10 += s22 * 666643;
+ s11 += s22 * 470296;
+ s12 += s22 * 654183;
+ s13 -= s22 * 997805;
+ s14 += s22 * 136657;
+ s15 -= s22 * 683901;
+ s22 = 0;
+
+ s9 += s21 * 666643;
+ s10 += s21 * 470296;
+ s11 += s21 * 654183;
+ s12 -= s21 * 997805;
+ s13 += s21 * 136657;
+ s14 -= s21 * 683901;
+ s21 = 0;
+
+ s8 += s20 * 666643;
+ s9 += s20 * 470296;
+ s10 += s20 * 654183;
+ s11 -= s20 * 997805;
+ s12 += s20 * 136657;
+ s13 -= s20 * 683901;
+ s20 = 0;
+
+ s7 += s19 * 666643;
+ s8 += s19 * 470296;
+ s9 += s19 * 654183;
+ s10 -= s19 * 997805;
+ s11 += s19 * 136657;
+ s12 -= s19 * 683901;
+ s19 = 0;
+
+ s6 += s18 * 666643;
+ s7 += s18 * 470296;
+ s8 += s18 * 654183;
+ s9 -= s18 * 997805;
+ s10 += s18 * 136657;
+ s11 -= s18 * 683901;
+ s18 = 0;
+
+ carry6 = (s6 + (1<<20)) >> 21;
+ s7 += carry6;
+ s6 -= carry6 << 21;
+ carry8 = (s8 + (1<<20)) >> 21;
+ s9 += carry8;
+ s8 -= carry8 << 21;
+ carry10 = (s10 + (1<<20)) >> 21;
+ s11 += carry10;
+ s10 -= carry10 << 21;
+ carry12 = (s12 + (1<<20)) >> 21;
+ s13 += carry12;
+ s12 -= carry12 << 21;
+ carry14 = (s14 + (1<<20)) >> 21;
+ s15 += carry14;
+ s14 -= carry14 << 21;
+ carry16 = (s16 + (1<<20)) >> 21;
+ s17 += carry16;
+ s16 -= carry16 << 21;
+
+ carry7 = (s7 + (1<<20)) >> 21;
+ s8 += carry7;
+ s7 -= carry7 << 21;
+ carry9 = (s9 + (1<<20)) >> 21;
+ s10 += carry9;
+ s9 -= carry9 << 21;
+ carry11 = (s11 + (1<<20)) >> 21;
+ s12 += carry11;
+ s11 -= carry11 << 21;
+ carry13 = (s13 + (1<<20)) >> 21;
+ s14 += carry13;
+ s13 -= carry13 << 21;
+ carry15 = (s15 + (1<<20)) >> 21;
+ s16 += carry15;
+ s15 -= carry15 << 21;
+
+ s5 += s17 * 666643;
+ s6 += s17 * 470296;
+ s7 += s17 * 654183;
+ s8 -= s17 * 997805;
+ s9 += s17 * 136657;
+ s10 -= s17 * 683901;
+ s17 = 0;
+
+ s4 += s16 * 666643;
+ s5 += s16 * 470296;
+ s6 += s16 * 654183;
+ s7 -= s16 * 997805;
+ s8 += s16 * 136657;
+ s9 -= s16 * 683901;
+ s16 = 0;
+
+ s3 += s15 * 666643;
+ s4 += s15 * 470296;
+ s5 += s15 * 654183;
+ s6 -= s15 * 997805;
+ s7 += s15 * 136657;
+ s8 -= s15 * 683901;
+ s15 = 0;
+
+ s2 += s14 * 666643;
+ s3 += s14 * 470296;
+ s4 += s14 * 654183;
+ s5 -= s14 * 997805;
+ s6 += s14 * 136657;
+ s7 -= s14 * 683901;
+ s14 = 0;
+
+ s1 += s13 * 666643;
+ s2 += s13 * 470296;
+ s3 += s13 * 654183;
+ s4 -= s13 * 997805;
+ s5 += s13 * 136657;
+ s6 -= s13 * 683901;
+ s13 = 0;
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+ s12 = 0;
+
+ carry0 = (s0 + (1<<20)) >> 21;
+ s1 += carry0;
+ s0 -= carry0 << 21;
+ carry2 = (s2 + (1<<20)) >> 21;
+ s3 += carry2;
+ s2 -= carry2 << 21;
+ carry4 = (s4 + (1<<20)) >> 21;
+ s5 += carry4;
+ s4 -= carry4 << 21;
+ carry6 = (s6 + (1<<20)) >> 21;
+ s7 += carry6;
+ s6 -= carry6 << 21;
+ carry8 = (s8 + (1<<20)) >> 21;
+ s9 += carry8;
+ s8 -= carry8 << 21;
+ carry10 = (s10 + (1<<20)) >> 21;
+ s11 += carry10;
+ s10 -= carry10 << 21;
+
+ carry1 = (s1 + (1<<20)) >> 21;
+ s2 += carry1;
+ s1 -= carry1 << 21;
+ carry3 = (s3 + (1<<20)) >> 21;
+ s4 += carry3;
+ s3 -= carry3 << 21;
+ carry5 = (s5 + (1<<20)) >> 21;
+ s6 += carry5;
+ s5 -= carry5 << 21;
+ carry7 = (s7 + (1<<20)) >> 21;
+ s8 += carry7;
+ s7 -= carry7 << 21;
+ carry9 = (s9 + (1<<20)) >> 21;
+ s10 += carry9;
+ s9 -= carry9 << 21;
+ carry11 = (s11 + (1<<20)) >> 21;
+ s12 += carry11;
+ s11 -= carry11 << 21;
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+ s12 = 0;
+
+ carry0 = s0 >> 21;
+ s1 += carry0;
+ s0 -= carry0 << 21;
+ carry1 = s1 >> 21;
+ s2 += carry1;
+ s1 -= carry1 << 21;
+ carry2 = s2 >> 21;
+ s3 += carry2;
+ s2 -= carry2 << 21;
+ carry3 = s3 >> 21;
+ s4 += carry3;
+ s3 -= carry3 << 21;
+ carry4 = s4 >> 21;
+ s5 += carry4;
+ s4 -= carry4 << 21;
+ carry5 = s5 >> 21;
+ s6 += carry5;
+ s5 -= carry5 << 21;
+ carry6 = s6 >> 21;
+ s7 += carry6;
+ s6 -= carry6 << 21;
+ carry7 = s7 >> 21;
+ s8 += carry7;
+ s7 -= carry7 << 21;
+ carry8 = s8 >> 21;
+ s9 += carry8;
+ s8 -= carry8 << 21;
+ carry9 = s9 >> 21;
+ s10 += carry9;
+ s9 -= carry9 << 21;
+ carry10 = s10 >> 21;
+ s11 += carry10;
+ s10 -= carry10 << 21;
+ carry11 = s11 >> 21;
+ s12 += carry11;
+ s11 -= carry11 << 21;
+
+ s0 += s12 * 666643;
+ s1 += s12 * 470296;
+ s2 += s12 * 654183;
+ s3 -= s12 * 997805;
+ s4 += s12 * 136657;
+ s5 -= s12 * 683901;
+ s12 = 0;
+
+ carry0 = s0 >> 21;
+ s1 += carry0;
+ s0 -= carry0 << 21;
+ carry1 = s1 >> 21;
+ s2 += carry1;
+ s1 -= carry1 << 21;
+ carry2 = s2 >> 21;
+ s3 += carry2;
+ s2 -= carry2 << 21;
+ carry3 = s3 >> 21;
+ s4 += carry3;
+ s3 -= carry3 << 21;
+ carry4 = s4 >> 21;
+ s5 += carry4;
+ s4 -= carry4 << 21;
+ carry5 = s5 >> 21;
+ s6 += carry5;
+ s5 -= carry5 << 21;
+ carry6 = s6 >> 21;
+ s7 += carry6;
+ s6 -= carry6 << 21;
+ carry7 = s7 >> 21;
+ s8 += carry7;
+ s7 -= carry7 << 21;
+ carry8 = s8 >> 21;
+ s9 += carry8;
+ s8 -= carry8 << 21;
+ carry9 = s9 >> 21;
+ s10 += carry9;
+ s9 -= carry9 << 21;
+ carry10 = s10 >> 21;
+ s11 += carry10;
+ s10 -= carry10 << 21;
+
+ s[0] = s0 >> 0;
+ s[1] = s0 >> 8;
+ s[2] = (s0 >> 16) | (s1 << 5);
+ s[3] = s1 >> 3;
+ s[4] = s1 >> 11;
+ s[5] = (s1 >> 19) | (s2 << 2);
+ s[6] = s2 >> 6;
+ s[7] = (s2 >> 14) | (s3 << 7);
+ s[8] = s3 >> 1;
+ s[9] = s3 >> 9;
+ s[10] = (s3 >> 17) | (s4 << 4);
+ s[11] = s4 >> 4;
+ s[12] = s4 >> 12;
+ s[13] = (s4 >> 20) | (s5 << 1);
+ s[14] = s5 >> 7;
+ s[15] = (s5 >> 15) | (s6 << 6);
+ s[16] = s6 >> 2;
+ s[17] = s6 >> 10;
+ s[18] = (s6 >> 18) | (s7 << 3);
+ s[19] = s7 >> 5;
+ s[20] = s7 >> 13;
+ s[21] = s8 >> 0;
+ s[22] = s8 >> 8;
+ s[23] = (s8 >> 16) | (s9 << 5);
+ s[24] = s9 >> 3;
+ s[25] = s9 >> 11;
+ s[26] = (s9 >> 19) | (s10 << 2);
+ s[27] = s10 >> 6;
+ s[28] = (s10 >> 14) | (s11 << 7);
+ s[29] = s11 >> 1;
+ s[30] = s11 >> 9;
+ s[31] = s11 >> 17;
+ }
+
+}
diff --git a/src/lib/pubkey/pk_algs.cpp b/src/lib/pubkey/pk_algs.cpp
index 52e2e3be9..45e88f2a3 100644
--- a/src/lib/pubkey/pk_algs.cpp
+++ b/src/lib/pubkey/pk_algs.cpp
@@ -32,6 +32,10 @@
#include <botan/eckcdsa.h>
#endif
+#if defined(BOTAN_HAS_ED25519)
+ #include <botan/ed25519.h>
+#endif
+
#if defined(BOTAN_HAS_GOST_34_10_2001)
#include <botan/gost_3410.h>
#endif
@@ -120,6 +124,11 @@ load_public_key(const AlgorithmIdentifier& alg_id,
return std::unique_ptr<Public_Key>(new ECKCDSA_PublicKey(alg_id, key_bits));
#endif
+#if defined(BOTAN_HAS_ED25519)
+ if(alg_name == "Ed25519")
+ return std::unique_ptr<Public_Key>(new Ed25519_PublicKey(alg_id, key_bits));
+#endif
+
#if defined(BOTAN_HAS_GOST_34_10_2001)
if(alg_name == "GOST-34.10")
return std::unique_ptr<Public_Key>(new GOST_3410_PublicKey(alg_id, key_bits));
@@ -186,6 +195,11 @@ load_private_key(const AlgorithmIdentifier& alg_id,
return std::unique_ptr<Private_Key>(new ECKCDSA_PrivateKey(alg_id, key_bits));
#endif
+#if defined(BOTAN_HAS_ED25519)
+ if(alg_name == "Ed25519")
+ return std::unique_ptr<Private_Key>(new Ed25519_PrivateKey(alg_id, key_bits));
+#endif
+
#if defined(BOTAN_HAS_GOST_34_10_2001)
if(alg_name == "GOST-34.10")
return std::unique_ptr<Private_Key>(new GOST_3410_PrivateKey(alg_id, key_bits));
@@ -262,6 +276,13 @@ create_private_key(const std::string& alg_name,
}
#endif
+#if defined(BOTAN_HAS_ED25519)
+ if(alg_name == "Ed25519")
+ {
+ return std::unique_ptr<Private_Key>(new Ed25519_PrivateKey(rng));
+ }
+#endif
+
// ECC crypto
#if defined(BOTAN_HAS_ECC_PUBLIC_KEY_CRYPTO)
diff --git a/src/tests/data/pubkey/ed25519.vec b/src/tests/data/pubkey/ed25519.vec
new file mode 100644
index 000000000..e85679b6d
--- /dev/null
+++ b/src/tests/data/pubkey/ed25519.vec
@@ -0,0 +1,3308 @@
+[Ed25519]
+
+# From http://ed25519.cr.yp.to/python/sign.input
+
+Privkey = 9d61b19deffd5a60ba844af492ec2cc44449c5697b326919703bac031cae7f60
+Pubkey = d75a980182b10ab7d54bfed3c964073a0ee172f3daa62325af021a68f707511a
+Msg =
+Signature = e5564300c360ac729086e2cc806e828a84877f1eb8e5d974d873e065224901555fb8821590a33bacc61e39701cf9b46bd25bf5f0595bbe24655141438e7a100b
+
+Privkey = 4ccd089b28ff96da9db6c346ec114e0f5b8a319f35aba624da8cf6ed4fb8a6fb
+Pubkey = 3d4017c3e843895a92b70aa74d1b7ebc9c982ccf2ec4968cc0cd55f12af4660c
+Msg = 72
+Signature = 92a009a9f0d4cab8720e820b5f642540a2b27b5416503f8fb3762223ebdb69da085ac1e43e15996e458f3613d0f11d8c387b2eaeb4302aeeb00d291612bb0c00
+
+Privkey = c5aa8df43f9f837bedb7442f31dcb7b166d38535076f094b85ce3a2e0b4458f7
+Pubkey = fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025
+Msg = af82
+Signature = 6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a
+
+Privkey = 0d4a05b07352a5436e180356da0ae6efa0345ff7fb1572575772e8005ed978e9
+Pubkey = e61a185bcef2613a6c7cb79763ce945d3b245d76114dd440bcf5f2dc1aa57057
+Msg = cbc77b
+Signature = d9868d52c2bebce5f3fa5a79891970f309cb6591e3e1702a70276fa97c24b3a8e58606c38c9758529da50ee31b8219cba45271c689afa60b0ea26c99db19b00c
+
+Privkey = 6df9340c138cc188b5fe4464ebaa3f7fc206a2d55c3434707e74c9fc04e20ebb
+Pubkey = c0dac102c4533186e25dc43128472353eaabdb878b152aeb8e001f92d90233a7
+Msg = 5f4c8989
+Signature = 124f6fc6b0d100842769e71bd530664d888df8507df6c56dedfdb509aeb93416e26b918d38aa06305df3095697c18b2aa832eaa52edc0ae49fbae5a85e150c07
+
+Privkey = b780381a65edf8b78f6945e8dbec7941ac049fd4c61040cf0c324357975a293c
+Pubkey = e253af0766804b869bb1595be9765b534886bbaab8305bf50dbc7f899bfb5f01
+Msg = 18b6bec097
+Signature = b2fc46ad47af464478c199e1f8be169f1be6327c7f9a0a6689371ca94caf04064a01b22aff1520abd58951341603faed768cf78ce97ae7b038abfe456aa17c09
+
+Privkey = 78ae9effe6f245e924a7be63041146ebc670dbd3060cba67fbc6216febc44546
+Pubkey = fbcfbfa40505d7f2be444a33d185cc54e16d615260e1640b2b5087b83ee3643d
+Msg = 89010d855972
+Signature = 6ed629fc1d9ce9e1468755ff636d5a3f40a5d9c91afd93b79d241830f7e5fa29854b8f20cc6eecbb248dbd8d16d14e99752194e4904d09c74d639518839d2300
+
+Privkey = 691865bfc82a1e4b574eecde4c7519093faf0cf867380234e3664645c61c5f79
+Pubkey = 98a5e3a36e67aaba89888bf093de1ad963e774013b3902bfab356d8b90178a63
+Msg = b4a8f381e70e7a
+Signature = 6e0af2fe55ae377a6b7a7278edfb419bd321e06d0df5e27037db8812e7e3529810fa5552f6c0020985ca17a0e02e036d7b222a24f99b77b75fdd16cb05568107
+
+Privkey = 3b26516fb3dc88eb181b9ed73f0bcd52bcd6b4c788e4bcaf46057fd078bee073
+Pubkey = f81fb54a825fced95eb033afcd64314075abfb0abd20a970892503436f34b863
+Msg = 4284abc51bb67235
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+Privkey = d02bbf70d51351e3b47ad8e5ed263dbf556d1498fa9bd5dbd99fb4269009dced
+Pubkey = 8ce4b59f94ced6ec9614d67d3066d9d3a0df7a46b37b4c1725ef1e57bc68a0d1
+Msg = 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
+Signature = 6e7c66acc954ffd9dd4c1c6335ab4fe79dbbed782c4a47ec30d848d8bb2b4f1069dc62e522a1e8017f54a6345e1728c073af6447856d8c1ed35878b571e5230d
+
+Privkey = aa0fdae2a5a4c9c04521913004cd89efbc88b2dadf5abb246f3ca7f6923544af
+Pubkey = bffcb17c35c1304cdd9d624ff69bee60ec7c9ec327d12350d70fac12b47cc25c
+Msg = 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
+Signature = f937298969ca34d97584448907358b0f47841f3023afc7ef7681521c5be0f5e5628a8f607e2f31636ef63646b0e9898a72ad355706d2c8060fbc640efb3d6605
+
+Privkey = 7162fef0aca4974b094a6a08054395f877ff9433f1e33e20e88eaa90f938997d
+Pubkey = a280640f139f45c35a4871537eefe6ef9db02de785ee9fd54f805fb57d3746ef
+Msg = 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
+Signature = ae161cce95403384b65c6bc9b393eb072564c35f3a6c04fa517ab068bcd23767cc0c8edd92b1a13ae9a9ce4864137fb89c1f37b748cfc9134b6741ba1b22280d
+
+Privkey = dea180c91b533aaf736bc5d3c8e474d5e5d475b75b92cde6bd1d10f3b8f55ad4
+Pubkey = 30b20fb320b00e77c4e0a8eb3730af3c0b1c5f5ed9ee2b0562707e4f55c4938b
+Msg = 606144b7d4f96bef7f112b6d41bcb500d2136c134ceda220e24d0f1524eca12c30f2b102c7f378d6bba259c5b4a5ef8ec9309d5c8da7e8d2ded3792aeeea2108f77d66b23045938ed64751f20d48326be2fb99628cfb1873d7dd27581c105ec13249a952a50784b8b34cb3b2c1a004fa8b628a0767fa9abf058d955df85d134a0fc7f4b7d7fb0c8d31bce345dd0a4282145afb2ff19751f2cc3a1caea242baaf538749bf388000e3dc1d739359dfebae64ae1e10fb6fc17cc9fb950535c2de129587a86859b7be36dfe9b6c1141b25e0915c8d4aa1cceae7046b3d7cfa940bc98d4d69fc5a30dde1dee42fb5272281bf8f8e7f3e1a04397fb4f3adefc57532ddbde36833a676e6f39c82aff6bf4832ec971e03be3829c02a203c82d9eb8c1630ee9693f45d26f5f51a3103ca64d468eceac1b29af4c42eb216d76ec8994836b4bec76489ca5070680c2c2eb457210a77c47fdcbf600172073a53f1453bb5c80439c882f0736de40637b4f5ab1f761ff355c6e9bd4abde7560d5fc113c830159a1b77c4e87bc2c69880a40c5805ecc8aaaf57575bccd8177fc6b83569233c0f5ca223ac4013ca106cac2854706aead714fa29f2860a5f9753268a3671d9f59cde6048cf0b8986050f7f549e4fd7557f2fc3fcdccddcefda586a64b3006e5825f27ca31687caf663bd90a05b1152d7c88d7f1051a9d791748651d888a6a12f22d6c8c3f78c2b86eaf5394b4ef7eefb89797b25e542dc93102d021a1d0bed6a7dcdd8102b8f0430a0bc21d904a3c9346c018343dd9937cb35250007a284825db08e9a11fee31cff7a314c48c42d8b314acc27822af03d1954c7cc8bf9ad4e9e98f4ad4efb355288daa8c90de9037e64a7861f5ee43ada9f0fccde34d0bcf50288550f700f215a7944a5380e2a8e3f04f2b4f5
+Signature = d083333fb84e79c9b33e55e8192d571ffc8dc50745b6b5fdd8c44d92a63fd178c4e57c2ab3a1211c0ba2d39da30b06629d8d1cc1d9f2593263d524fa5a2ebc03
+
+# From draft-koch-eddsa-for-openpgp-04
+
+Hash = SHA-256
+Privkey = 1a8b1ff05ded48e18bf50166c664ab023ea70003d78d9e41f5758a91d850f8d2
+Pubkey = 3f098994bdd916ed4053197934e4a87c80733a1280d62f8010992e43ee3b2406
+Msg = 4f70656e504750040016080006050255f95f9504ff0000000c
+Signature = 56f90cca98e2102637bd983fdb16c131dfd27ed82bf4dde5606e0d756aed3366d09c4fa11527f038e0f57f2201d82f2ea2c9033265fa6ceb489e854bae61b404
+
+# Same test as above but with Msg replaced by the SHA-256 pre-hash
+Hash = Pure
+Privkey = 1a8b1ff05ded48e18bf50166c664ab023ea70003d78d9e41f5758a91d850f8d2
+Pubkey = 3f098994bdd916ed4053197934e4a87c80733a1280d62f8010992e43ee3b2406
+Msg = f6220a3f757814f4c2176ffbb68b00249cd4ccdc059c4b34ad871f30b1740280
+Signature = 56f90cca98e2102637bd983fdb16c131dfd27ed82bf4dde5606e0d756aed3366d09c4fa11527f038e0f57f2201d82f2ea2c9033265fa6ceb489e854bae61b404
diff --git a/src/tests/test_ed25519.cpp b/src/tests/test_ed25519.cpp
new file mode 100644
index 000000000..586d71dd8
--- /dev/null
+++ b/src/tests/test_ed25519.cpp
@@ -0,0 +1,55 @@
+/*
+* (C) 2014,2015 Jack Lloyd
+*
+* Botan is released under the Simplified BSD License (see license.txt)
+*/
+
+#include "tests.h"
+
+#if defined(BOTAN_HAS_ED25519)
+ #include <botan/ed25519.h>
+ #include "test_pubkey.h"
+#endif
+
+namespace Botan_Tests {
+
+namespace {
+
+#if defined(BOTAN_HAS_ED25519)
+
+class Ed25519_Signature_Tests : public PK_Signature_Generation_Test
+ {
+ public:
+ Ed25519_Signature_Tests() : PK_Signature_Generation_Test(
+ "Ed25519",
+ "pubkey/ed25519.vec",
+ "Privkey,Pubkey,Hash,Msg,Signature") {}
+
+ std::unique_ptr<Botan::Private_Key> load_private_key(const VarMap& vars) override
+ {
+ const std::vector<uint8_t> privkey = get_req_bin(vars, "Privkey");
+ const std::vector<uint8_t> pubkey = get_req_bin(vars, "Pubkey");
+
+ Botan::secure_vector<uint8_t> seed(privkey.begin(), privkey.end());
+
+ std::unique_ptr<Botan::Ed25519_PrivateKey> key(new Botan::Ed25519_PrivateKey(seed));
+
+ if(key->get_public_key() != pubkey)
+ throw Test_Error("Invalid Ed25519 key in test data");
+
+ return std::unique_ptr<Botan::Private_Key>(key.release());
+ }
+
+ std::string default_padding(const VarMap& vars) const override
+ {
+ return get_opt_str(vars, "Hash", "Pure");
+ }
+ };
+
+BOTAN_REGISTER_TEST("ed25519_sign", Ed25519_Signature_Tests);
+
+#endif
+
+}
+
+}
diff --git a/src/tests/test_ffi.cpp b/src/tests/test_ffi.cpp
index 0e238ab1e..75fe337f3 100644
--- a/src/tests/test_ffi.cpp
+++ b/src/tests/test_ffi.cpp
@@ -391,6 +391,10 @@ class FFI_Unit_Tests : public Test
results.push_back(ffi_test_elgamal(rng));
#endif
+#if defined(BOTAN_HAS_ED25519)
+ results.push_back(ffi_test_ed25519(rng));
+#endif
+
TEST_FFI_OK(botan_rng_destroy, (rng));
results.push_back(result);
@@ -1381,6 +1385,70 @@ class FFI_Unit_Tests : public Test
return result;
}
+ Test::Result ffi_test_ed25519(botan_rng_t rng)
+ {
+ Test::Result result("FFI Ed25519");
+
+ botan_pubkey_t pub;
+ botan_privkey_t priv;
+
+ // From draft-koch-eddsa-for-openpgp-04
+ const std::vector<uint8_t> seed = Botan::hex_decode(
+ "1a8b1ff05ded48e18bf50166c664ab023ea70003d78d9e41f5758a91d850f8d2");
+ const std::vector<uint8_t> pubkey = Botan::hex_decode(
+ "3f098994bdd916ed4053197934e4a87c80733a1280d62f8010992e43ee3b2406");
+ const std::vector<uint8_t> message = Botan::hex_decode(
+ "4f70656e504750040016080006050255f95f9504ff0000000c");
+ const std::vector<uint8_t> exp_sig = Botan::hex_decode(
+ "56f90cca98e2102637bd983fdb16c131dfd27ed82bf4dde5606e0d756aed3366"
+ "d09c4fa11527f038e0f57f2201d82f2ea2c9033265fa6ceb489e854bae61b404");
+
+ TEST_FFI_OK(botan_privkey_load_ed25519, (&priv, seed.data()));
+
+ uint8_t retr_privkey[64];
+ TEST_FFI_OK(botan_privkey_ed25519_get_privkey, (priv, retr_privkey));
+
+ result.test_eq(nullptr, "Public key matches", retr_privkey + 32, 32,
+ pubkey.data(), pubkey.size());
+
+ TEST_FFI_OK(botan_privkey_export_pubkey, (&pub, priv));
+
+ uint8_t retr_pubkey[32];
+ TEST_FFI_OK(botan_pubkey_ed25519_get_pubkey, (pub, retr_pubkey));
+ result.test_eq(nullptr, "Public key matches", retr_pubkey, 32,
+ pubkey.data(), pubkey.size());
+
+ //TEST_FFI_OK(botan_pubkey_load_ed25519, (&pub, pubkey.data()));
+
+ botan_pk_op_sign_t signer;
+ std::vector<uint8_t> signature;
+
+ if(TEST_FFI_OK(botan_pk_op_sign_create, (&signer, priv, "SHA-256", 0)))
+ {
+ TEST_FFI_OK(botan_pk_op_sign_update, (signer, message.data(), message.size()));
+
+ signature.resize(128);
+ size_t sig_len = signature.size();
+ TEST_FFI_OK(botan_pk_op_sign_finish, (signer, rng, signature.data(), &sig_len));
+ signature.resize(sig_len);
+
+ TEST_FFI_OK(botan_pk_op_sign_destroy, (signer));
+ }
+
+ result.test_eq("Expected signature", signature, exp_sig);
+
+ botan_pk_op_verify_t verifier;
+
+ if(TEST_FFI_OK(botan_pk_op_verify_create, (&verifier, pub, "SHA-256", 0)))
+ {
+ TEST_FFI_OK(botan_pk_op_verify_update, (verifier, message.data(), message.size()));
+ TEST_FFI_OK(botan_pk_op_verify_finish, (verifier, signature.data(), signature.size()));
+ }
+
+
+ return result;
+ }
+
Test::Result ffi_test_elgamal(botan_rng_t rng)
{
Test::Result result("FFI ELGAMAL");
generated by cgit v1.2.3 (git 2.39.1) at 2024-12-19 01:38:49 +0000