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[tor/master] Add blinding support to ed25519-donna (Not yet used).
by nickm＠torproject.org 09 Jul '15

09 Jul '15

commit b7aa3074fc34515c99e91168762fa8f4163d6882 Author: Yawning Angel <yawning(a)schwanenlied.me> Date: Mon Jul 6 09:44:43 2015 +0000 Add blinding support to ed25519-donna (Not yet used). Integrating it the "wrong" way into common/crypto_ed25519.c passes `make check`, and there appear to be some known answer tests for this, so I assume I got it right. Blinding a public key goes from 139.10 usec to 70.78 usec using ed25519-donna (NB: Turboboost/phase of moon), though the code isn't critical path, so supporting it is mostly done for completeness. --- src/ext/ed25519/donna/README.tor | 3 ++ src/ext/ed25519/donna/ed25519_donna_tor.h | 6 +++ src/ext/ed25519/donna/ed25519_tor.c | 81 +++++++++++++++++++++++++++++ 3 files changed, 90 insertions(+) diff --git a/src/ext/ed25519/donna/README.tor b/src/ext/ed25519/donna/README.tor index 6053c88..fa11a36 100644 --- a/src/ext/ed25519/donna/README.tor +++ b/src/ext/ed25519/donna/README.tor @@ -17,6 +17,9 @@ as of 8757bd4cd209cb032853ece0ce413f122eef212c. in a function and the entire file is included to allow for runtime validation. + * There's an implementation of multiplicative key blinding so we + can use it for next-gen hidden service descriptors. + * `ED25519_FN(ed25519_randombytes_unsafe)` is now static. * `ed25519-randombytes-custom.h` has the appropriate code to call diff --git a/src/ext/ed25519/donna/ed25519_donna_tor.h b/src/ext/ed25519/donna/ed25519_donna_tor.h index f41744d..a5a53f3 100644 --- a/src/ext/ed25519/donna/ed25519_donna_tor.h +++ b/src/ext/ed25519/donna/ed25519_donna_tor.h @@ -21,4 +21,10 @@ int ed25519_donna_open(const unsigned char *signature, const unsigned char *m, int ed25519_donna_sign(unsigned char *sig, const unsigned char *m, size_t mlen, const unsigned char *sk, const unsigned char *pk); +int ed25519_donna_blind_secret_key(unsigned char *out, const unsigned char *inp, + const unsigned char *param); + +int ed25519_donna_blind_public_key(unsigned char *out, const unsigned char *inp, + const unsigned char *param); + #endif diff --git a/src/ext/ed25519/donna/ed25519_tor.c b/src/ext/ed25519/donna/ed25519_tor.c index c0eeeb8..5f2c9c9 100644 --- a/src/ext/ed25519/donna/ed25519_tor.c +++ b/src/ext/ed25519/donna/ed25519_tor.c @@ -44,6 +44,8 @@ typedef unsigned char ed25519_signature[64]; typedef unsigned char ed25519_public_key[32]; typedef unsigned char ed25519_secret_key[32]; +static void gettweak(unsigned char *out, const unsigned char *param); + static int ED25519_FN(ed25519_sign_open) (const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS); @@ -135,6 +137,8 @@ ED25519_FN(curved25519_scalarmult_basepoint) (curved25519_key pk, const curved25 * Private key generation using Tor's CSPRNG. * Routines that deal with the private key now use the expanded form. + + * Support for multiplicative key blinding has been added. */ int @@ -236,5 +240,82 @@ ed25519_donna_sign(unsigned char *sig, const unsigned char *m, size_t mlen, return 0; } +static void +gettweak(unsigned char *out, const unsigned char *param) +{ + static const char str[] = "Derive temporary signing key"; + ed25519_hash_context ctx; + + ed25519_hash_init(&ctx); + ed25519_hash_update(&ctx, (const unsigned char*)str, strlen(str)); + ed25519_hash_update(&ctx, param, 32); + ed25519_hash_final(&ctx, out); + + out[0] &= 248; /* Is this necessary ? */ + out[31] &= 63; + out[31] |= 64; +} + +int +ed25519_donna_blind_secret_key(unsigned char *out, const unsigned char *inp, + const unsigned char *param) +{ + static const char str[] = "Derive temporary signing key hash input"; + unsigned char tweak[64]; + ed25519_hash_context ctx; + bignum256modm ALIGN(16) sk, t; + + gettweak(tweak, param); + expand256_modm(t, tweak, 32); + + expand256_modm(sk, inp, 32); + mul256_modm(sk, sk, t); + contract256_modm(out, sk); + + ed25519_hash_init(&ctx); + ed25519_hash_update(&ctx, (const unsigned char*)str, strlen(str)); + ed25519_hash_update(&ctx, inp + 32, 32); + ed25519_hash_final(&ctx, tweak); + + memcpy(out + 32, tweak, 32); + + memwipe(sk, 0, sizeof(sk)); + memwipe(t, 0, sizeof(t)); + memwipe(tweak, 0, sizeof(tweak)); + + return 0; +} + +int +ed25519_donna_blind_public_key(unsigned char *out, const unsigned char *inp, + const unsigned char *param) +{ + static const bignum256modm zero = { 0 }; + unsigned char tweak[64]; + unsigned char pkcopy[32]; + ge25519 ALIGN(16) A, Aprime; + bignum256modm ALIGN(16) t; + + gettweak(tweak, param); + expand256_modm(t, tweak, 32); + + /* No "ge25519_unpack", negate the public key. */ + memcpy(pkcopy, inp, 32); + pkcopy[31] ^= (1<<7); + ge25519_unpack_negative_vartime(&A, pkcopy); + + /* A' = [tweak] * A + [0] * basepoint. */ + ge25519_double_scalarmult_vartime(&Aprime, &A, t, zero); + ge25519_pack(out, &Aprime); + + memwipe(tweak, 0, sizeof(tweak)); + memwipe(pkcopy, 0, sizeof(pkcopy)); + memwipe(&A, 0, sizeof(A)); + memwipe(&Aprime, 0, sizeof(Aprime)); + memwipe(t, 0, sizeof(t)); + + return 0; +} + #include "test-internals.c"

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[tor/master] Integrate ed25519-donna (Not yet used).
by nickm＠torproject.org 09 Jul '15

09 Jul '15

commit 0f3eeca9b80ff42cf17f9d8b1b4b45588ea9fbad Author: Yawning Angel <yawning(a)schwanenlied.me> Date: Mon Jul 6 09:40:28 2015 +0000 Integrate ed25519-donna (Not yet used). Integrate ed25519-donna into the build process, and provide an interface that matches the `ref10` code. Apart from the blinding and Curve25519 key conversion, this functions as a drop-in replacement for ref10 (verified by modifying crypto_ed25519.c). Tests pass, and the benchmarks claim it is quite a bit faster, however actually using the code requires additional integration work. --- .gitignore | 2 + src/common/include.am | 1 + src/ext/ed25519/donna/README.tor | 32 +++ src/ext/ed25519/donna/ed25519-donna-portable.h | 15 ++ src/ext/ed25519/donna/ed25519-randombytes-custom.h | 9 + src/ext/ed25519/donna/ed25519_donna_tor.h | 24 ++ src/ext/ed25519/donna/ed25519_tor.c | 240 ++++++++++++++++++++ src/ext/ed25519/donna/test-internals.c | 34 ++- src/ext/include.am | 41 ++++ 9 files changed, 388 insertions(+), 10 deletions(-) diff --git a/.gitignore b/.gitignore index 6d87d61..cfa8e7e 100644 --- a/.gitignore +++ b/.gitignore @@ -144,6 +144,8 @@ cscope.* # /src/ext/ /src/ext/ed25519/ref10/libed25519_ref10.a /src/ext/ed25519/ref10/libed25519_ref10.lib +/src/ext/ed25519/donna/libed25519_donna.a +/src/ext/ed25519/donna/libed25519_donna.lib # /src/or/ /src/or/Makefile diff --git a/src/common/include.am b/src/common/include.am index 789f400..de93131 100644 --- a/src/common/include.am +++ b/src/common/include.am @@ -43,6 +43,7 @@ endif endif LIBDONNA += $(LIBED25519_REF10) +LIBDONNA += $(LIBED25519_DONNA) if THREADS_PTHREADS threads_impl_source=src/common/compat_pthreads.c diff --git a/src/ext/ed25519/donna/README.tor b/src/ext/ed25519/donna/README.tor new file mode 100644 index 0000000..6053c88 --- /dev/null +++ b/src/ext/ed25519/donna/README.tor @@ -0,0 +1,32 @@ + +We've made the following changes to the stock ed25519-donna from +as of 8757bd4cd209cb032853ece0ce413f122eef212c. + + * Tor uses copies of `ed25519-donna.h` and `ed25519.c`, named + `ed25519_donna_tor.h` and `ed25591_tor.c`. + + The main functional differences between the standard ed25519-donna + and the Tor specific version are: + + * The external interface has been reworked to match that provided + by Tor's copy of the SUPERCOP `ref10` code. + + * The secret (aka private) key is now stored/used in expanded form. + + * The internal math tests from `test-internals.c` have been wrapped + in a function and the entire file is included to allow for + runtime validation. + + * `ED25519_FN(ed25519_randombytes_unsafe)` is now static. + + * `ed25519-randombytes-custom.h` has the appropriate code to call + Tor's `crypto_rand()` routine, instead of directly using OpenSSL's + CSPRNG. + + * OSX pollutes the global namespace with an `ALIGN` macro, which is + undef-ed right before the donna `ALIGN` macro is defined. + + * If building with Clang's AddressSanitizer, disable inline assembly + since the compilation will fail in `ge25519_scalarmult_base_choose_niels` + on x86_64 targets due to running out of registers. + diff --git a/src/ext/ed25519/donna/ed25519-donna-portable.h b/src/ext/ed25519/donna/ed25519-donna-portable.h index 0a0f7fc..44fa840 100644 --- a/src/ext/ed25519/donna/ed25519-donna-portable.h +++ b/src/ext/ed25519/donna/ed25519-donna-portable.h @@ -20,6 +20,8 @@ #include <sys/param.h> #define DONNA_INLINE inline __attribute__((always_inline)) #define DONNA_NOINLINE __attribute__((noinline)) + /* Tor: OSX pollutes the global namespace with an ALIGN macro. */ + #undef ALIGN #define ALIGN(x) __attribute__((aligned(x))) #define ROTL32(a,b) (((a) << (b)) | ((a) >> (32 - b))) #define ROTR32(a,b) (((a) >> (b)) | ((a) << (32 - b))) @@ -129,6 +131,19 @@ static inline void U64TO8_LE(unsigned char *p, const uint64_t v) { } #endif +/* Tor: Detect and disable inline assembly when clang's AddressSanitizer + * is present, due to compilation failing because it runs out of registers. + * + * The alternative is to annotate `ge25519_scalarmult_base_choose_niels` + * and selectively disable AddressSanitizer insturmentation, however doing + * things this way results in a "more sanitized" binary. + */ +#if defined(__has_feature) + #if __has_feature(address_sanitizer) + #define ED25519_NO_INLINE_ASM + #endif +#endif + #include <stdlib.h> #include <string.h> diff --git a/src/ext/ed25519/donna/ed25519-randombytes-custom.h b/src/ext/ed25519/donna/ed25519-randombytes-custom.h index 9f51063..e49368b 100644 --- a/src/ext/ed25519/donna/ed25519-randombytes-custom.h +++ b/src/ext/ed25519/donna/ed25519-randombytes-custom.h @@ -6,3 +6,12 @@ ed25519_randombytes_unsafe is used by the batch verification function to create random scalars */ + +/* Tor: Instead of calling OpenSSL's CSPRNG directly, call the wrapper. */ +#include "crypto.h" + +static void +ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len) +{ + crypto_rand(p, len); +} diff --git a/src/ext/ed25519/donna/ed25519_donna_tor.h b/src/ext/ed25519/donna/ed25519_donna_tor.h new file mode 100644 index 0000000..f41744d --- /dev/null +++ b/src/ext/ed25519/donna/ed25519_donna_tor.h @@ -0,0 +1,24 @@ +/* Added for Tor. */ +#ifndef SRC_EXT_ED25519_DONNA_H_INCLUDED_ +#define SRC_EXT_ED25519_DONNA_H_INCLUDED_ +#include <torint.h> + +typedef unsigned char curved25519_key[32]; + +int ed25519_sign_open_batch_donna(const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid); +void curved25519_scalarmult_basepoint_donna(curved25519_key pk, const curved25519_key e); + +/* Tor specific interface to match the `ref10` glue code. */ +int ed25519_donna_selftest(void); +int ed25519_donna_seckey(unsigned char *sk); +int ed25519_donna_seckey_expand(unsigned char *sk, const unsigned char *sk_seed); +int ed25519_donna_pubkey(unsigned char *pk, const unsigned char *sk); +int ed25519_donna_keygen(unsigned char *pk, unsigned char *sk); + +int ed25519_donna_open(const unsigned char *signature, const unsigned char *m, + size_t mlen, const unsigned char *pk); + +int ed25519_donna_sign(unsigned char *sig, const unsigned char *m, size_t mlen, + const unsigned char *sk, const unsigned char *pk); + +#endif diff --git a/src/ext/ed25519/donna/ed25519_tor.c b/src/ext/ed25519/donna/ed25519_tor.c new file mode 100644 index 0000000..c0eeeb8 --- /dev/null +++ b/src/ext/ed25519/donna/ed25519_tor.c @@ -0,0 +1,240 @@ +/* + Public domain by Andrew M. <liquidsun(a)gmail.com> + + Ed25519 reference implementation using Ed25519-donna +*/ + +/* + Tor specific notes: + + This file is used by Tor instead of `ed25519.c` as the number of + changes/additions is non-trivial. + + Tor modifications to `ed25519.c`: + * 'Tab` -> ' '. + * Include `ed25519_donna_tor.h` instead of `ed25519.h`. + + * The external interface has been reworked to match that provided + by Tor's copy of the SUPERCOP `ref10` code. + + * The secret (aka private) key is now stored/used in expanded form. + + * The internal math tests from `test-internals.c` have been wrapped + in a function and the entire file is included to allow for + runtime validation. + */ + + +/* define ED25519_SUFFIX to have it appended to the end of each public function */ +#if !defined(ED25519_SUFFIX) +#define ED25519_SUFFIX +#endif + +#define ED25519_FN3(fn,suffix) fn##suffix +#define ED25519_FN2(fn,suffix) ED25519_FN3(fn,suffix) +#define ED25519_FN(fn) ED25519_FN2(fn,ED25519_SUFFIX) + + +#include "ed25519-donna.h" +#include "ed25519_donna_tor.h" +#include "ed25519-randombytes.h" +#include "ed25519-hash.h" + +typedef unsigned char ed25519_signature[64]; +typedef unsigned char ed25519_public_key[32]; +typedef unsigned char ed25519_secret_key[32]; + +static int ED25519_FN(ed25519_sign_open) (const unsigned char *m, size_t mlen, + const ed25519_public_key pk, const ed25519_signature RS); + + +/* + Generates a (extsk[0..31]) and aExt (extsk[32..63]) +*/ + +DONNA_INLINE static void +ed25519_extsk(hash_512bits extsk, const ed25519_secret_key sk) { + ed25519_hash(extsk, sk, 32); + extsk[0] &= 248; + extsk[31] &= 127; + extsk[31] |= 64; +} + +static void +ed25519_hram(hash_512bits hram, const ed25519_signature RS, const ed25519_public_key pk, const unsigned char *m, size_t mlen) { + ed25519_hash_context ctx; + ed25519_hash_init(&ctx); + ed25519_hash_update(&ctx, RS, 32); + ed25519_hash_update(&ctx, pk, 32); + ed25519_hash_update(&ctx, m, mlen); + ed25519_hash_final(&ctx, hram); +} + +static int +ED25519_FN(ed25519_sign_open) (const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS) { + ge25519 ALIGN(16) R, A; + hash_512bits hash; + bignum256modm hram, S; + unsigned char checkR[32]; + + if ((RS[63] & 224) || !ge25519_unpack_negative_vartime(&A, pk)) + return -1; + + /* hram = H(R,A,m) */ + ed25519_hram(hash, RS, pk, m, mlen); + expand256_modm(hram, hash, 64); + + /* S */ + expand256_modm(S, RS + 32, 32); + + /* SB - H(R,A,m)A */ + ge25519_double_scalarmult_vartime(&R, &A, hram, S); + ge25519_pack(checkR, &R); + + /* check that R = SB - H(R,A,m)A */ + return ed25519_verify(RS, checkR, 32) ? 0 : -1; +} + +#include "ed25519-donna-batchverify.h" + +/* + Fast Curve25519 basepoint scalar multiplication +*/ + +void +ED25519_FN(curved25519_scalarmult_basepoint) (curved25519_key pk, const curved25519_key e) { + curved25519_key ec; + bignum256modm s; + bignum25519 ALIGN(16) yplusz, zminusy; + ge25519 ALIGN(16) p; + size_t i; + + /* clamp */ + for (i = 0; i < 32; i++) ec[i] = e[i]; + ec[0] &= 248; + ec[31] &= 127; + ec[31] |= 64; + + expand_raw256_modm(s, ec); + + /* scalar * basepoint */ + ge25519_scalarmult_base_niels(&p, ge25519_niels_base_multiples, s); + + /* u = (y + z) / (z - y) */ + curve25519_add(yplusz, p.y, p.z); + curve25519_sub(zminusy, p.z, p.y); + curve25519_recip(zminusy, zminusy); + curve25519_mul(yplusz, yplusz, zminusy); + curve25519_contract(pk, yplusz); +} + +/* + Tor has a specific idea of how an Ed25519 implementaion should behave. + Implement such a beast using the ed25519-donna primitives/internals. + + * Private key generation using Tor's CSPRNG. + + * Routines that deal with the private key now use the expanded form. + */ + +int +ed25519_donna_seckey(unsigned char *sk) +{ + ed25519_secret_key seed; + + if (crypto_strongest_rand(seed, 32)) + return -1; + + ed25519_extsk(sk, seed); + + memwipe(seed, 0, sizeof(seed)); + + return 0; +} + +int +ed25519_donna_seckey_expand(unsigned char *sk, const unsigned char *skseed) +{ + ed25519_extsk(sk, skseed); + + return 0; +} + +int +ed25519_donna_pubkey(unsigned char *pk, const unsigned char *sk) +{ + bignum256modm a; + ge25519 ALIGN(16) A; + + /* A = aB */ + expand256_modm(a, sk, 32); + ge25519_scalarmult_base_niels(&A, ge25519_niels_base_multiples, a); + ge25519_pack(pk, &A); + + return 0; +} + +int +ed25519_donna_keygen(unsigned char *pk, unsigned char *sk) +{ + int ok; + ok = ed25519_donna_seckey(sk); + ed25519_donna_pubkey(pk, sk); + + return ok; +} + +int +ed25519_donna_open(const unsigned char *signature, const unsigned char *m, + size_t mlen, const unsigned char *pk) +{ + /* Wrap the ed25519-donna routine, since it is also used by the batch + * verification code. + */ + return ED25519_FN(ed25519_sign_open)(m, mlen, pk, signature); +} + +int +ed25519_donna_sign(unsigned char *sig, const unsigned char *m, size_t mlen, + const unsigned char *sk, const unsigned char *pk) +{ + ed25519_hash_context ctx; + bignum256modm r, S, a; + ge25519 ALIGN(16) R; + hash_512bits hashr, hram; + + /* This is equivalent to the removed `ED25519_FN(ed25519_sign)` routine, + * except that the key expansion step is omitted as sk already is in expanded + * form. + */ + + /* r = H(aExt[32..64], m) */ + ed25519_hash_init(&ctx); + ed25519_hash_update(&ctx, sk + 32, 32); + ed25519_hash_update(&ctx, m, mlen); + ed25519_hash_final(&ctx, hashr); + expand256_modm(r, hashr, 64); + + /* R = rB */ + ge25519_scalarmult_base_niels(&R, ge25519_niels_base_multiples, r); + ge25519_pack(sig, &R); + + /* S = H(R,A,m).. */ + ed25519_hram(hram, sig, pk, m, mlen); + expand256_modm(S, hram, 64); + + /* S = H(R,A,m)a */ + expand256_modm(a, sk, 32); + mul256_modm(S, S, a); + + /* S = (r + H(R,A,m)a) */ + add256_modm(S, S, r); + + /* S = (r + H(R,A,m)a) mod L */ + contract256_modm(sig + 32, S); + + return 0; +} + +#include "test-internals.c" + diff --git a/src/ext/ed25519/donna/test-internals.c b/src/ext/ed25519/donna/test-internals.c index 3c67df5..fe9db9d 100644 --- a/src/ext/ed25519/donna/test-internals.c +++ b/src/ext/ed25519/donna/test-internals.c @@ -1,19 +1,22 @@ -#include <stdio.h> -#include "ed25519-donna.h" +/* Tor: Removed, file is inclued in ed25519.c instead. */ +/* #include <stdio.h> */ +/* #include "ed25519-donna.h" */ static int -test_adds() { +test_adds(void) { #if defined(HAVE_UINT128) && !defined(ED25519_SSE2) /* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */ static const bignum25519 max_bignum = { 0x7ffffffffffff,0x8000000001230,0x7ffffffffffff,0x7ffffffffffff,0x7ffffffffffff }; +#if 0 /* what max_bignum should fully reduce to */ static const unsigned char max_bignum_raw[32] = { 0x12,0x00,0x00,0x00,0x00,0x00,0x88,0x91,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00 }; +#endif /* (max_bignum + max_bignum)^2 */ static const unsigned char max_bignum2_squared_raw[32] = { @@ -46,9 +49,9 @@ test_adds() { }; #endif unsigned char result[32]; - static const bignum25519 ALIGN(16) zero = {0}; - bignum25519 ALIGN(16) a, b, c; - size_t i; + /* static const bignum25519 ALIGN(16) zero = {0}; */ + bignum25519 ALIGN(16) a, b /* , c */; + /* size_t i; */ /* a = (max_bignum + max_bignum) */ curve25519_add(a, max_bignum, max_bignum); @@ -80,7 +83,7 @@ test_adds() { } static int -test_subs() { +test_subs(void) { #if defined(HAVE_UINT128) && !defined(ED25519_SSE2) /* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */ static const bignum25519 max_bignum = { @@ -119,8 +122,8 @@ test_subs() { #endif unsigned char result[32]; static const bignum25519 ALIGN(16) zero = {0}; - bignum25519 ALIGN(16) a, b, c; - size_t i; + bignum25519 ALIGN(16) a, b /* , c */; + /* size_t i; */ /* a = max_bignum - 0, which expands to 2p + max_bignum - 0 */ curve25519_sub(a, max_bignum, zero); @@ -158,7 +161,8 @@ test_subs() { return 0; } - +/* Tor: Removed, tests are invoked as a function instead. */ +#if 0 int main() { int ret = 0; @@ -172,5 +176,15 @@ main() { if (!ret) printf("success\n"); return ret; } +#endif +/* Tor: Added for initialization self-testing. */ +int +ed25519_donna_selftest(void) +{ + int ret = 0; + ret |= test_adds(); + ret |= test_subs(); + return (ret == 0) ? 0 : -1; +} diff --git a/src/ext/include.am b/src/ext/include.am index 40923aa..ea8f0bc 100644 --- a/src/ext/include.am +++ b/src/ext/include.am @@ -93,3 +93,44 @@ noinst_HEADERS += $(ED25519_REF10_HDRS) LIBED25519_REF10=src/ext/ed25519/ref10/libed25519_ref10.a noinst_LIBRARIES += $(LIBED25519_REF10) +src_ext_ed25519_donna_libed25519_donna_a_CFLAGS= \ + -DED25519_CUSTOMRANDOM \ + -DED25519_SUFFIX=_donna + +src_ext_ed25519_donna_libed25519_donna_a_SOURCES= \ + src/ext/ed25519/donna/ed25519_tor.c + +ED25519_DONNA_HDRS = \ + src/ext/ed25519/donna/curve25519-donna-32bit.h \ + src/ext/ed25519/donna/curve25519-donna-64bit.h \ + src/ext/ed25519/donna/curve25519-donna-helpers.h \ + src/ext/ed25519/donna/curve25519-donna-sse2.h \ + src/ext/ed25519/donna/ed25519-donna-32bit-sse2.h \ + src/ext/ed25519/donna/ed25519-donna-32bit-tables.h \ + src/ext/ed25519/donna/ed25519-donna-64bit-sse2.h \ + src/ext/ed25519/donna/ed25519-donna-64bit-tables.h \ + src/ext/ed25519/donna/ed25519-donna-64bit-x86-32bit.h \ + src/ext/ed25519/donna/ed25519-donna-64bit-x86.h \ + src/ext/ed25519/donna/ed25519-donna-basepoint-table.h \ + src/ext/ed25519/donna/ed25519-donna-batchverify.h \ + src/ext/ed25519/donna/ed25519-donna.h \ + src/ext/ed25519/donna/ed25519-donna-impl-base.h \ + src/ext/ed25519/donna/ed25519-donna-impl-sse2.h \ + src/ext/ed25519/donna/ed25519-donna-portable.h \ + src/ext/ed25519/donna/ed25519-donna-portable-identify.h \ + src/ext/ed25519/donna/ed25519_donna_tor.h \ + src/ext/ed25519/donna/ed25519.h \ + src/ext/ed25519/donna/ed25519-hash-custom.h \ + src/ext/ed25519/donna/ed25519-hash.h \ + src/ext/ed25519/donna/ed25519-randombytes-custom.h \ + src/ext/ed25519/donna/ed25519-randombytes.h \ + src/ext/ed25519/donna/modm-donna-32bit.h \ + src/ext/ed25519/donna/modm-donna-64bit.h \ + src/ext/ed25519/donna/regression.h \ + src/ext/ed25519/donna/test-ticks.h + +noinst_HEADERS += $(ED25519_DONNA_HDRS) + +LIBED25519_DONNA=src/ext/ed25519/donna/libed25519_donna.a +noinst_LIBRARIES += $(LIBED25519_DONNA) +

1 0

[tor/master] Add Curve25519->Ed25519 support to ed25519-donna (Not yet used).
by nickm＠torproject.org 09 Jul '15

09 Jul '15

commit be113f0bce4516df1ad5b7a7a50707c466bdf9a4 Author: Yawning Angel <yawning(a)schwanenlied.me> Date: Mon Jul 6 09:48:00 2015 +0000 Add Curve25519->Ed25519 support to ed25519-donna (Not yet used). This needs to be done to allow for the possibility of removing the ref10 code at a later date, though it is not performance critical. When integrated by kludging it into tor, it passes unit tests, and is twice as fast. --- src/ext/ed25519/donna/README.tor | 4 ++++ src/ext/ed25519/donna/ed25519_donna_tor.h | 3 +++ src/ext/ed25519/donna/ed25519_tor.c | 23 +++++++++++++++++++++++ 3 files changed, 30 insertions(+) diff --git a/src/ext/ed25519/donna/README.tor b/src/ext/ed25519/donna/README.tor index fa11a36..212fb11 100644 --- a/src/ext/ed25519/donna/README.tor +++ b/src/ext/ed25519/donna/README.tor @@ -20,6 +20,10 @@ as of 8757bd4cd209cb032853ece0ce413f122eef212c. * There's an implementation of multiplicative key blinding so we can use it for next-gen hidden service descriptors. + * There's an implementation of 'convert a curve25519 key to an + ed25519 key' so we can do cross-certification with curve25519 + keys. + * `ED25519_FN(ed25519_randombytes_unsafe)` is now static. * `ed25519-randombytes-custom.h` has the appropriate code to call diff --git a/src/ext/ed25519/donna/ed25519_donna_tor.h b/src/ext/ed25519/donna/ed25519_donna_tor.h index a5a53f3..d225407 100644 --- a/src/ext/ed25519/donna/ed25519_donna_tor.h +++ b/src/ext/ed25519/donna/ed25519_donna_tor.h @@ -27,4 +27,7 @@ int ed25519_donna_blind_secret_key(unsigned char *out, const unsigned char *inp, int ed25519_donna_blind_public_key(unsigned char *out, const unsigned char *inp, const unsigned char *param); +int ed25519_donna_pubkey_from_curve25519_pubkey(unsigned char *out, + const unsigned char *inp, int signbit); + #endif diff --git a/src/ext/ed25519/donna/ed25519_tor.c b/src/ext/ed25519/donna/ed25519_tor.c index 5f2c9c9..7f5894d 100644 --- a/src/ext/ed25519/donna/ed25519_tor.c +++ b/src/ext/ed25519/donna/ed25519_tor.c @@ -139,6 +139,8 @@ ED25519_FN(curved25519_scalarmult_basepoint) (curved25519_key pk, const curved25 * Routines that deal with the private key now use the expanded form. * Support for multiplicative key blinding has been added. + + * Support for converting a Curve25519 key to an Ed25519 key has been added. */ int @@ -317,5 +319,26 @@ ed25519_donna_blind_public_key(unsigned char *out, const unsigned char *inp, return 0; } +int +ed25519_donna_pubkey_from_curve25519_pubkey(unsigned char *out, + const unsigned char *inp, int signbit) +{ + static const bignum25519 one = { 1 }; + bignum25519 ALIGN(16) u, uminus1, uplus1, inv_uplus1, y; + + /* Prop228: y = (u-1)/(u+1) */ + curve25519_expand(u, inp); + curve25519_sub(uminus1, u, one); + curve25519_add(uplus1, u, one); + curve25519_recip(inv_uplus1, uplus1); + curve25519_mul(y, uminus1, inv_uplus1); + curve25519_contract(out, y); + + /* Propagate sign. */ + out[31] |= (!!signbit) << 7; + + return 0; +} + #include "test-internals.c"

1 0

[tor/master] Integrate the accelerated Curve25519 scalar basemult.
by nickm＠torproject.org 09 Jul '15

09 Jul '15

commit f079c27761a676f7c4200f7275112edd0b5e1270 Author: Yawning Angel <yawning(a)schwanenlied.me> Date: Mon Jul 6 09:57:23 2015 +0000 Integrate the accelerated Curve25519 scalar basemult. Integration work scavanged from nickm's `ticket8897_9663_v2` branch, with minor modifications. Tor will still sanity check the output but now also attempts to catch extreme breakage by spot checking the optimized implementation vs known values from the NaCl documentation. Implements feature 9663. --- changes/feature9663 | 5 ++ src/common/crypto.c | 3 + src/common/crypto_curve25519.c | 119 +++++++++++++++++++++++++++++++++++++++- src/common/crypto_curve25519.h | 5 ++ src/test/bench.c | 15 ++++- src/test/test_crypto.c | 25 +++++++++ 6 files changed, 168 insertions(+), 4 deletions(-) diff --git a/changes/feature9663 b/changes/feature9663 new file mode 100644 index 0000000..c02e08d --- /dev/null +++ b/changes/feature9663 @@ -0,0 +1,5 @@ + o Minor feature (performance): + - Improve the runtime speed of the ntor handshake by using an + optimized curve25519 basepoint scalarmult implementation from the + public-domain ed25519-donna by Andrew M. ("floodyberry"), based on + ideas by Adam Langley. Implements ticket 9663. diff --git a/src/common/crypto.c b/src/common/crypto.c index 934679e..c9745dd 100644 --- a/src/common/crypto.c +++ b/src/common/crypto.c @@ -25,6 +25,7 @@ #define CRYPTO_PRIVATE #include "crypto.h" +#include "crypto_curve25519.h" #if OPENSSL_VERSION_NUMBER < OPENSSL_V_SERIES(1,0,0) #error "We require OpenSSL >= 1.0.0" @@ -305,6 +306,8 @@ crypto_early_init(void) return -1; if (crypto_init_siphash_key() < 0) return -1; + + curve25519_init(); } return 0; } diff --git a/src/common/crypto_curve25519.c b/src/common/crypto_curve25519.c index 5bb14b0..80b0d88 100644 --- a/src/common/crypto_curve25519.c +++ b/src/common/crypto_curve25519.c @@ -14,6 +14,8 @@ #include "util.h" #include "torlog.h" +#include "ed25519/donna/ed25519_donna_tor.h" + /* ============================== Part 1: wrap a suitable curve25519 implementation as curve25519_impl ============================== */ @@ -30,6 +32,10 @@ int curve25519_donna(uint8_t *mypublic, #endif #endif +static void pick_curve25519_basepoint_impl(void); + +static int curve25519_use_ed = -1; + STATIC int curve25519_impl(uint8_t *output, const uint8_t *secret, const uint8_t *basepoint) @@ -50,6 +56,34 @@ curve25519_impl(uint8_t *output, const uint8_t *secret, return r; } +STATIC int +curve25519_basepoint_impl(uint8_t *output, const uint8_t *secret) +{ + int r = 0; + if (PREDICT_UNLIKELY(curve25519_use_ed == -1)) { + pick_curve25519_basepoint_impl(); + } + + /* TODO: Someone should benchmark curved25519_scalarmult_basepoint versus + * an optimized NaCl build to see which should be used when compiled with + * NaCl available. I suspected that the ed25519 optimization always wins. + */ + if (PREDICT_LIKELY(curve25519_use_ed == 1)) { + curved25519_scalarmult_basepoint_donna(output, secret); + r = 0; + } else { + static const uint8_t basepoint[32] = {9}; + r = curve25519_impl(output, secret, basepoint); + } + return r; +} + +void +curve25519_set_impl_params(int use_ed) +{ + curve25519_use_ed = use_ed; +} + /* ============================== Part 2: Wrap curve25519_impl with some convenience types and functions. ============================== */ @@ -113,9 +147,7 @@ void curve25519_public_key_generate(curve25519_public_key_t *key_out, const curve25519_secret_key_t *seckey) { - static const uint8_t basepoint[32] = {9}; - - curve25519_impl(key_out->public_key, seckey->secret_key, basepoint); + curve25519_basepoint_impl(key_out->public_key, seckey->secret_key); } int @@ -283,3 +315,84 @@ curve25519_handshake(uint8_t *output, curve25519_impl(output, skey->secret_key, pkey->public_key); } +/** Check whether the ed25519-based curve25519 basepoint optimization seems to + * be working. If so, return 0; otherwise return -1. */ +static int +curve25519_basepoint_spot_check(void) +{ + static const uint8_t alicesk[32] = { + 0x77,0x07,0x6d,0x0a,0x73,0x18,0xa5,0x7d, + 0x3c,0x16,0xc1,0x72,0x51,0xb2,0x66,0x45, + 0xdf,0x4c,0x2f,0x87,0xeb,0xc0,0x99,0x2a, + 0xb1,0x77,0xfb,0xa5,0x1d,0xb9,0x2c,0x2a + }; + static const uint8_t alicepk[32] = { + 0x85,0x20,0xf0,0x09,0x89,0x30,0xa7,0x54, + 0x74,0x8b,0x7d,0xdc,0xb4,0x3e,0xf7,0x5a, + 0x0d,0xbf,0x3a,0x0d,0x26,0x38,0x1a,0xf4, + 0xeb,0xa4,0xa9,0x8e,0xaa,0x9b,0x4e,0x6a + }; + const int loop_max=200; + int save_use_ed = curve25519_use_ed; + unsigned char e1[32] = { 5 }; + unsigned char e2[32] = { 5 }; + unsigned char x[32],y[32]; + int i; + int r=0; + + /* Check the most basic possible sanity via the test secret/public key pair + * used in "Cryptography in NaCl - 2. Secret keys and public keys". This + * may catch catastrophic failures on systems where Curve25519 is expensive, + * without requiring a ton of key generation. + */ + curve25519_use_ed = 1; + r |= curve25519_basepoint_impl(x, alicesk); + if (fast_memneq(x, alicepk, 32)) + goto fail; + + /* Ok, the optimization appears to produce passable results, try a few more + * values, maybe there's something subtle wrong. + */ + for (i = 0; i < loop_max; ++i) { + curve25519_use_ed = 0; + r |= curve25519_basepoint_impl(x, e1); + curve25519_use_ed = 1; + r |= curve25519_basepoint_impl(y, e2); + if (fast_memneq(x,y,32)) + goto fail; + memcpy(e1, x, 32); + memcpy(e2, x, 32); + } + + goto end; + fail: + r = -1; + end: + curve25519_use_ed = save_use_ed; + return r; +} + +/** Choose whether to use the ed25519-based curve25519-basepoint + * implementation. */ +static void +pick_curve25519_basepoint_impl(void) +{ + curve25519_use_ed = 1; + + if (curve25519_basepoint_spot_check() == 0) + return; + + log_warn(LD_CRYPTO, "The ed25519-based curve25519 basepoint " + "multiplication seems broken; using the curve25519 " + "implementation."); + curve25519_use_ed = 0; +} + +/** Initialize the curve25519 implementations. This is necessary if you're + * going to use them in a multithreaded setting, and not otherwise. */ +void +curve25519_init(void) +{ + pick_curve25519_basepoint_impl(); +} + diff --git a/src/common/crypto_curve25519.h b/src/common/crypto_curve25519.h index 48e8a6d..d537439 100644 --- a/src/common/crypto_curve25519.h +++ b/src/common/crypto_curve25519.h @@ -61,6 +61,8 @@ int curve25519_rand_seckey_bytes(uint8_t *out, int extra_strong); #ifdef CRYPTO_CURVE25519_PRIVATE STATIC int curve25519_impl(uint8_t *output, const uint8_t *secret, const uint8_t *basepoint); + +STATIC int curve25519_basepoint_impl(uint8_t *output, const uint8_t *secret); #endif #define CURVE25519_BASE64_PADDED_LEN 44 @@ -82,5 +84,8 @@ ssize_t crypto_read_tagged_contents_from_file(const char *fname, uint8_t *data_out, ssize_t data_out_len); +void curve25519_set_impl_params(int use_ed); +void curve25519_init(void); + #endif diff --git a/src/test/bench.c b/src/test/bench.c index bc2b1f0..dbff7d0 100644 --- a/src/test/bench.c +++ b/src/test/bench.c @@ -177,7 +177,7 @@ bench_onion_TAP(void) } static void -bench_onion_ntor(void) +bench_onion_ntor_impl(void) { const int iters = 1<<10; int i; @@ -235,6 +235,19 @@ bench_onion_ntor(void) } static void +bench_onion_ntor(void) +{ + int ed; + + for (ed = 0; ed <= 1; ++ed) { + printf("Ed25519-based basepoint multiply = %s.\n", + (ed == 0) ? "disabled" : "enabled"); + curve25519_set_impl_params(ed); + bench_onion_ntor_impl(); + } +} + +static void bench_ed25519(void) { uint64_t start, end; diff --git a/src/test/test_crypto.c b/src/test/test_crypto.c index 6cba850..bc88248 100644 --- a/src/test/test_crypto.c +++ b/src/test/test_crypto.c @@ -1125,6 +1125,29 @@ test_crypto_curve25519_impl(void *arg) } static void +test_crypto_curve25519_basepoint(void *arg) +{ + uint8_t secret[32]; + uint8_t public1[32]; + uint8_t public2[32]; + const int iters = 2048; + int i; + (void) arg; + + for (i = 0; i < iters; ++i) { + crypto_rand((char*)secret, 32); + curve25519_set_impl_params(1); /* Use optimization */ + curve25519_basepoint_impl(public1, secret); + curve25519_set_impl_params(0); /* Disable optimization */ + curve25519_basepoint_impl(public2, secret); + tt_mem_op(public1, OP_EQ, public2, 32); + } + + done: + ; +} + +static void test_crypto_curve25519_wrappers(void *arg) { curve25519_public_key_t pubkey1, pubkey2; @@ -1733,6 +1756,8 @@ struct testcase_t crypto_tests[] = { { "hkdf_sha256", test_crypto_hkdf_sha256, 0, NULL, NULL }, { "curve25519_impl", test_crypto_curve25519_impl, 0, NULL, NULL }, { "curve25519_impl_hibit", test_crypto_curve25519_impl, 0, NULL, (void*)"y"}, + { "curve25519_basepoint", + test_crypto_curve25519_basepoint, TT_FORK, NULL, NULL }, { "curve25519_wrappers", test_crypto_curve25519_wrappers, 0, NULL, NULL }, { "curve25519_encode", test_crypto_curve25519_encode, 0, NULL, NULL }, { "curve25519_persist", test_crypto_curve25519_persist, 0, NULL, NULL },

1 0

[tor/master] Integrate and enable ed25519-donna.
by nickm＠torproject.org 09 Jul '15

09 Jul '15

commit 840e68d9171d62a1fdaf0395e248daad2cbe014f Author: Yawning Angel <yawning(a)schwanenlied.me> Date: Mon Jul 6 10:11:10 2015 +0000 Integrate and enable ed25519-donna. The runtime sanity checking is slightly different from the optimized basepoint stuff in that it uses a given implementation's self tests if available, and checks if signing/verification works with a test vector from the IETF EdDSA draft. The unit tests include a new testcase that will fuzz donna against ref0, including the blinding and curve25519 key conversion routines. If this is something that should be done at runtime (No?), the code can be stolen from there. Note: Integrating batch verification is not done yet. --- changes/feature16467 | 4 + src/common/crypto.c | 2 + src/common/crypto_ed25519.c | 211 ++++++++++++++++++++++++++++++++++++++++--- src/common/crypto_ed25519.h | 3 + src/test/bench.c | 15 ++- src/test/test_crypto.c | 72 +++++++++++++++ 6 files changed, 292 insertions(+), 15 deletions(-) diff --git a/changes/feature16467 b/changes/feature16467 new file mode 100644 index 0000000..5cd30fd --- /dev/null +++ b/changes/feature16467 @@ -0,0 +1,4 @@ + o Minor feature (performance): + - Improve the runtime speed of Ed25519 operations by using the + public-domain ed25519-donna by Andrew M. ("floodyberry"). Implements + ticket 16467. diff --git a/src/common/crypto.c b/src/common/crypto.c index c9745dd..88a23f5 100644 --- a/src/common/crypto.c +++ b/src/common/crypto.c @@ -26,6 +26,7 @@ #define CRYPTO_PRIVATE #include "crypto.h" #include "crypto_curve25519.h" +#include "crypto_ed25519.h" #if OPENSSL_VERSION_NUMBER < OPENSSL_V_SERIES(1,0,0) #error "We require OpenSSL >= 1.0.0" @@ -308,6 +309,7 @@ crypto_early_init(void) return -1; curve25519_init(); + ed25519_init(); } return 0; } diff --git a/src/common/crypto_ed25519.c b/src/common/crypto_ed25519.c index 6b93751..599a1ca 100644 --- a/src/common/crypto_ed25519.c +++ b/src/common/crypto_ed25519.c @@ -16,9 +16,81 @@ #include "util.h" #include "ed25519/ref10/ed25519_ref10.h" +#include "ed25519/donna/ed25519_donna_tor.h" #include <openssl/sha.h> +static void pick_ed25519_impl(void); +static int ed25519_impl_spot_check(void); + +/** An Ed25519 implementation */ +typedef struct { + int (*selftest)(void); + + int (*seckey)(unsigned char *); + int (*seckey_expand)(unsigned char *, const unsigned char *); + int (*pubkey)(unsigned char *, const unsigned char *); + int (*keygen)(unsigned char *, unsigned char *); + + int (*open)(const unsigned char *, const unsigned char *, size_t, const + unsigned char *); + int (*sign)(unsigned char *, const unsigned char *, size_t, + const unsigned char *, const unsigned char *); + + int (*blind_secret_key)(unsigned char *, const unsigned char *, + const unsigned char *); + int (*blind_public_key)(unsigned char *, const unsigned char *, + const unsigned char *); + + int (*pubkey_from_curve25519_pubkey)(unsigned char *, const unsigned char *, + int); +} ed25519_impl_t; + +static const ed25519_impl_t impl_ref10 = { + NULL, + + ed25519_ref10_seckey, + ed25519_ref10_seckey_expand, + ed25519_ref10_pubkey, + ed25519_ref10_keygen, + + ed25519_ref10_open, + ed25519_ref10_sign, + + ed25519_ref10_blind_secret_key, + ed25519_ref10_blind_public_key, + + ed25519_ref10_pubkey_from_curve25519_pubkey, +}; + +static const ed25519_impl_t impl_donna = { + ed25519_donna_selftest, + + ed25519_donna_seckey, + ed25519_donna_seckey_expand, + ed25519_donna_pubkey, + ed25519_donna_keygen, + + ed25519_donna_open, + ed25519_donna_sign, + + ed25519_donna_blind_secret_key, + ed25519_donna_blind_public_key, + + ed25519_donna_pubkey_from_curve25519_pubkey, +}; + +static const ed25519_impl_t *ed25519_impl = NULL; + +static inline const ed25519_impl_t * +get_ed_impl(void) +{ + if (PREDICT_UNLIKELY(ed25519_impl == NULL)) { + pick_ed25519_impl(); + } + return ed25519_impl; +} + /** * Initialize a new ed25519 secret key in <b>seckey_out</b>. If * <b>extra_strong</b>, take the RNG inputs directly from the operating @@ -33,7 +105,7 @@ ed25519_secret_key_generate(ed25519_secret_key_t *seckey_out, if (! extra_strong || crypto_strongest_rand(seed, sizeof(seed)) < 0) crypto_rand((char*)seed, sizeof(seed)); - r = ed25519_ref10_seckey_expand(seckey_out->seckey, seed); + r = get_ed_impl()->seckey_expand(seckey_out->seckey, seed); memwipe(seed, 0, sizeof(seed)); return r < 0 ? -1 : 0; @@ -47,8 +119,8 @@ int ed25519_secret_key_from_seed(ed25519_secret_key_t *seckey_out, const uint8_t *seed) { - if (ed25519_ref10_seckey_expand(seckey_out->seckey, seed) < 0) - return -1; + if (get_ed_impl()->seckey_expand(seckey_out->seckey, seed) < 0) + return -1; return 0; } @@ -60,7 +132,7 @@ int ed25519_public_key_generate(ed25519_public_key_t *pubkey_out, const ed25519_secret_key_t *seckey) { - if (ed25519_ref10_pubkey(pubkey_out->pubkey, seckey->seckey) < 0) + if (get_ed_impl()->pubkey(pubkey_out->pubkey, seckey->seckey) < 0) return -1; return 0; } @@ -88,10 +160,9 @@ ed25519_sign(ed25519_signature_t *signature_out, const uint8_t *msg, size_t len, const ed25519_keypair_t *keypair) { - - if (ed25519_ref10_sign(signature_out->sig, msg, len, - keypair->seckey.seckey, - keypair->pubkey.pubkey) < 0) { + if (get_ed_impl()->sign(signature_out->sig, msg, len, + keypair->seckey.seckey, + keypair->pubkey.pubkey) < 0) { return -1; } @@ -110,7 +181,7 @@ ed25519_checksig(const ed25519_signature_t *signature, const ed25519_public_key_t *pubkey) { return - ed25519_ref10_open(signature->sig, msg, len, pubkey->pubkey) < 0 ? -1 : 0; + get_ed_impl()->open(signature->sig, msg, len, pubkey->pubkey) < 0 ? -1 : 0; } /** Validate every signature among those in <b>checkable</b>, which contains @@ -164,6 +235,7 @@ ed25519_checksig_batch(int *okay_out, res = 0; for (i = 0; i < n_checkable; ++i) { + /* XXX/yawning: Propagate to okay_out? */ if (!oks[i]) --res; } @@ -229,9 +301,9 @@ ed25519_public_key_from_curve25519_public_key(ed25519_public_key_t *pubkey, const curve25519_public_key_t *pubkey_in, int signbit) { - return ed25519_ref10_pubkey_from_curve25519_pubkey(pubkey->pubkey, - pubkey_in->public_key, - signbit); + return get_ed_impl()->pubkey_from_curve25519_pubkey(pubkey->pubkey, + pubkey_in->public_key, + signbit); } /** @@ -251,7 +323,7 @@ ed25519_keypair_blind(ed25519_keypair_t *out, { ed25519_public_key_t pubkey_check; - ed25519_ref10_blind_secret_key(out->seckey.seckey, + get_ed_impl()->blind_secret_key(out->seckey.seckey, inp->seckey.seckey, param); ed25519_public_blind(&pubkey_check, &inp->pubkey, param); @@ -274,7 +346,7 @@ ed25519_public_blind(ed25519_public_key_t *out, const ed25519_public_key_t *inp, const uint8_t *param) { - ed25519_ref10_blind_public_key(out->pubkey, inp->pubkey, param); + get_ed_impl()->blind_public_key(out->pubkey, inp->pubkey, param); return 0; } @@ -372,3 +444,114 @@ ed25519_pubkey_eq(const ed25519_public_key_t *key1, return tor_memeq(key1->pubkey, key2->pubkey, ED25519_PUBKEY_LEN); } +/** Check whether the given Ed25519 implementation seems to be working. + * If so, return 0; otherwise return -1. */ +static int +ed25519_impl_spot_check(void) +{ + static const uint8_t alicesk[32] = { + 0xc5,0xaa,0x8d,0xf4,0x3f,0x9f,0x83,0x7b, + 0xed,0xb7,0x44,0x2f,0x31,0xdc,0xb7,0xb1, + 0x66,0xd3,0x85,0x35,0x07,0x6f,0x09,0x4b, + 0x85,0xce,0x3a,0x2e,0x0b,0x44,0x58,0xf7 + }; + static const uint8_t alicepk[32] = { + 0xfc,0x51,0xcd,0x8e,0x62,0x18,0xa1,0xa3, + 0x8d,0xa4,0x7e,0xd0,0x02,0x30,0xf0,0x58, + 0x08,0x16,0xed,0x13,0xba,0x33,0x03,0xac, + 0x5d,0xeb,0x91,0x15,0x48,0x90,0x80,0x25 + }; + static const uint8_t alicemsg[2] = { 0xaf, 0x82 }; + static const uint8_t alicesig[64] = { + 0x62,0x91,0xd6,0x57,0xde,0xec,0x24,0x02, + 0x48,0x27,0xe6,0x9c,0x3a,0xbe,0x01,0xa3, + 0x0c,0xe5,0x48,0xa2,0x84,0x74,0x3a,0x44, + 0x5e,0x36,0x80,0xd7,0xdb,0x5a,0xc3,0xac, + 0x18,0xff,0x9b,0x53,0x8d,0x16,0xf2,0x90, + 0xae,0x67,0xf7,0x60,0x98,0x4d,0xc6,0x59, + 0x4a,0x7c,0x15,0xe9,0x71,0x6e,0xd2,0x8d, + 0xc0,0x27,0xbe,0xce,0xea,0x1e,0xc4,0x0a + }; + const ed25519_impl_t *impl = get_ed_impl(); + uint8_t sk[ED25519_SECKEY_LEN]; + uint8_t pk[ED25519_PUBKEY_LEN]; + uint8_t sig[ED25519_SIG_LEN]; + int r = 0; + + /* Some implementations (eg: The modified Ed25519-donna) have handy self-test + * code that sanity-checks the internals. If present, use that to screen out + * catastrophic errors like massive compiler failure. + */ + if (impl->selftest && impl->selftest() != 0) + goto fail; + + /* Validate results versus known answer tests. People really should be + * running "make test" instead of relying on this, but it's better than + * nothing. + * + * Test vectors taken from "EdDSA & Ed25519 - 6. Test Vectors for Ed25519 + * (TEST3)" (draft-josefsson-eddsa-ed25519-03). + */ + + /* Key expansion, public key derivation. */ + if (impl->seckey_expand(sk, alicesk) < 0) + goto fail; + if (impl->pubkey(pk, sk) < 0) + goto fail; + if (fast_memneq(pk, alicepk, ED25519_PUBKEY_LEN)) + goto fail; + + /* Signing, verification. */ + if (impl->sign(sig, alicemsg, sizeof(alicemsg), sk, pk) < 0) + return -1; + if (fast_memneq(sig, alicesig, ED25519_SIG_LEN)) + return -1; + if (impl->open(sig, alicemsg, sizeof(alicemsg), pk) < 0) + return -1; + + /* XXX/yawning: Someone that's more paranoid than I am, can write "Assume + * ref0 is cannonical, and fuzz impl against it" if they want, but I doubt + * that will catch anything that the known answer tests won't. + */ + goto end; + + fail: + r = -1; + end: + return r; +} + +/** Force the Ed25519 implementation to a given one, without sanity checking + * the output. Used for testing. + */ +void +ed25519_set_impl_params(int use_donna) +{ + if (use_donna) + ed25519_impl = &impl_donna; + else + ed25519_impl = &impl_ref10; +} + +/** Choose whether to use the Ed25519-donna implementation. */ +static void +pick_ed25519_impl(void) +{ + ed25519_impl = &impl_donna; + + if (ed25519_impl_spot_check() == 0) + return; + + log_warn(LD_CRYPTO, "The Ed25519-donna implementation seems broken; using " + "the ref10 implementation."); + ed25519_impl = &impl_ref10; +} + +/* Initialize the Ed25519 implementation. This is neccessary if you're + * going to use them in a multithreaded setting, and not otherwise. */ +void +ed25519_init(void) +{ + pick_ed25519_impl(); +} + diff --git a/src/common/crypto_ed25519.h b/src/common/crypto_ed25519.h index 4d20406..d942461 100644 --- a/src/common/crypto_ed25519.h +++ b/src/common/crypto_ed25519.h @@ -123,5 +123,8 @@ void ed25519_keypair_free(ed25519_keypair_t *kp); int ed25519_pubkey_eq(const ed25519_public_key_t *key1, const ed25519_public_key_t *key2); +void ed25519_set_impl_params(int use_donna); +void ed25519_init(void); + #endif diff --git a/src/test/bench.c b/src/test/bench.c index dbff7d0..2a27377 100644 --- a/src/test/bench.c +++ b/src/test/bench.c @@ -248,7 +248,7 @@ bench_onion_ntor(void) } static void -bench_ed25519(void) +bench_ed25519_impl(void) { uint64_t start, end; const int iters = 1<<12; @@ -305,6 +305,19 @@ bench_ed25519(void) } static void +bench_ed25519(void) +{ + int donna; + + for (donna = 0; donna <= 1; ++donna) { + printf("Ed25519-donna = %s.\n", + (donna == 0) ? "disabled" : "enabled"); + ed25519_set_impl_params(donna); + bench_ed25519_impl(); + } +} + +static void bench_cell_aes(void) { uint64_t start, end; diff --git a/src/test/test_crypto.c b/src/test/test_crypto.c index bc88248..2bc4770 100644 --- a/src/test/test_crypto.c +++ b/src/test/test_crypto.c @@ -1637,6 +1637,77 @@ test_crypto_ed25519_testvectors(void *arg) } static void +test_crypto_ed25519_fuzz_donna(void *arg) +{ + const unsigned iters = 1024; + uint8_t msg[1024]; + unsigned i; + (void)arg; + + tt_assert(sizeof(msg) == iters); + crypto_rand((char*) msg, sizeof(msg)); + + /* Fuzz Ed25519-donna vs ref10, alternating the implementation used to + * generate keys/sign per iteration. + */ + for (i = 0; i < iters; ++i) { + const int use_donna = i & 1; + uint8_t blinding[32]; + curve25519_keypair_t ckp; + ed25519_keypair_t kp, kp_blind, kp_curve25519; + ed25519_public_key_t pk, pk_blind, pk_curve25519; + ed25519_signature_t sig, sig_blind; + int bit = 0; + + crypto_rand((char*) blinding, sizeof(blinding)); + + /* Impl. A: + * 1. Generate a keypair. + * 2. Blinded the keypair. + * 3. Sign a message (unblinded). + * 4. Sign a message (blinded). + * 5. Generate a curve25519 keypair, and convert it to Ed25519. + */ + ed25519_set_impl_params(use_donna); + tt_int_op(0, OP_EQ, ed25519_keypair_generate(&kp, i&1)); + tt_int_op(0, OP_EQ, ed25519_keypair_blind(&kp_blind, &kp, blinding)); + tt_int_op(0, OP_EQ, ed25519_sign(&sig, msg, i, &kp)); + tt_int_op(0, OP_EQ, ed25519_sign(&sig_blind, msg, i, &kp_blind)); + + tt_int_op(0, OP_EQ, curve25519_keypair_generate(&ckp, i&1)); + tt_int_op(0, OP_EQ, ed25519_keypair_from_curve25519_keypair( + &kp_curve25519, &bit, &ckp)); + + /* Impl. B: + * 1. Validate the public key by rederiving it. + * 2. Validate the blinded public key by rederiving it. + * 3. Validate the unblinded signature (and test a invalid signature). + * 4. Validate the blinded signature. + * 5. Validate the public key (from Curve25519) by rederiving it. + */ + ed25519_set_impl_params(!use_donna); + tt_int_op(0, OP_EQ, ed25519_public_key_generate(&pk, &kp.seckey)); + tt_mem_op(pk.pubkey, OP_EQ, kp.pubkey.pubkey, 32); + + tt_int_op(0, OP_EQ, ed25519_public_blind(&pk_blind, &kp.pubkey, blinding)); + tt_mem_op(pk_blind.pubkey, OP_EQ, kp_blind.pubkey.pubkey, 32); + + tt_int_op(0, OP_EQ, ed25519_checksig(&sig, msg, i, &pk)); + sig.sig[0] ^= 15; + tt_int_op(-1, OP_EQ, ed25519_checksig(&sig, msg, sizeof(msg), &pk)); + + tt_int_op(0, OP_EQ, ed25519_checksig(&sig_blind, msg, i, &pk_blind)); + + tt_int_op(0, OP_EQ, ed25519_public_key_from_curve25519_public_key( + &pk_curve25519, &ckp.pubkey, bit)); + tt_mem_op(pk_curve25519.pubkey, OP_EQ, kp_curve25519.pubkey.pubkey, 32); + } + + done: + ; +} + +static void test_crypto_siphash(void *arg) { /* From the reference implementation, taking @@ -1767,6 +1838,7 @@ struct testcase_t crypto_tests[] = { { "ed25519_convert", test_crypto_ed25519_convert, 0, NULL, NULL }, { "ed25519_blinding", test_crypto_ed25519_blinding, 0, NULL, NULL }, { "ed25519_testvectors", test_crypto_ed25519_testvectors, 0, NULL, NULL }, + { "ed25519_fuzz_donna", test_crypto_ed25519_fuzz_donna, TT_FORK, NULL, NULL }, { "siphash", test_crypto_siphash, 0, NULL, NULL }, END_OF_TESTCASES };

1 0

[tor/master] Merge remote-tracking branch 'yawning/feature16467_9663'
by nickm＠torproject.org 09 Jul '15

09 Jul '15

commit a6a0759e3a34a3c78850ee2a73dbc0124ba7aa4a Merge: 327efe9 840e68d Author: Nick Mathewson <nickm(a)torproject.org> Date: Thu Jul 9 12:53:55 2015 -0400 Merge remote-tracking branch 'yawning/feature16467_9663' .gitignore | 2 + changes/feature16467 | 4 + changes/feature9663 | 5 + src/common/crypto.c | 5 + src/common/crypto_curve25519.c | 119 +- src/common/crypto_curve25519.h | 5 + src/common/crypto_ed25519.c | 211 +- src/common/crypto_ed25519.h | 3 + src/common/include.am | 1 + src/ext/README | 5 + src/ext/ed25519/donna/README.md | 183 + src/ext/ed25519/donna/README.tor | 39 + src/ext/ed25519/donna/curve25519-donna-32bit.h | 579 +++ src/ext/ed25519/donna/curve25519-donna-64bit.h | 413 ++ src/ext/ed25519/donna/curve25519-donna-helpers.h | 67 + src/ext/ed25519/donna/curve25519-donna-sse2.h | 1112 +++++ src/ext/ed25519/donna/ed25519-donna-32bit-sse2.h | 513 +++ src/ext/ed25519/donna/ed25519-donna-32bit-tables.h | 61 + src/ext/ed25519/donna/ed25519-donna-64bit-sse2.h | 436 ++ src/ext/ed25519/donna/ed25519-donna-64bit-tables.h | 53 + .../ed25519/donna/ed25519-donna-64bit-x86-32bit.h | 435 ++ src/ext/ed25519/donna/ed25519-donna-64bit-x86.h | 351 ++ .../ed25519/donna/ed25519-donna-basepoint-table.h | 259 ++ src/ext/ed25519/donna/ed25519-donna-batchverify.h | 275 ++ src/ext/ed25519/donna/ed25519-donna-impl-base.h | 364 ++ src/ext/ed25519/donna/ed25519-donna-impl-sse2.h | 390 ++ .../donna/ed25519-donna-portable-identify.h | 103 + src/ext/ed25519/donna/ed25519-donna-portable.h | 150 + src/ext/ed25519/donna/ed25519-donna.h | 115 + src/ext/ed25519/donna/ed25519-hash-custom.h | 11 + src/ext/ed25519/donna/ed25519-hash.h | 219 + src/ext/ed25519/donna/ed25519-randombytes-custom.h | 17 + src/ext/ed25519/donna/ed25519-randombytes.h | 91 + src/ext/ed25519/donna/ed25519.c | 150 + src/ext/ed25519/donna/ed25519.h | 30 + src/ext/ed25519/donna/ed25519_donna_tor.h | 33 + src/ext/ed25519/donna/ed25519_tor.c | 344 ++ src/ext/ed25519/donna/fuzz/README.md | 173 + src/ext/ed25519/donna/fuzz/build-nix.php | 134 + src/ext/ed25519/donna/fuzz/curve25519-ref10.c | 1272 ++++++ src/ext/ed25519/donna/fuzz/curve25519-ref10.h | 8 + src/ext/ed25519/donna/fuzz/ed25519-donna-sse2.c | 3 + src/ext/ed25519/donna/fuzz/ed25519-donna.c | 1 + src/ext/ed25519/donna/fuzz/ed25519-donna.h | 34 + src/ext/ed25519/donna/fuzz/ed25519-ref10.c | 4647 ++++++++++++++++++++ src/ext/ed25519/donna/fuzz/ed25519-ref10.h | 9 + src/ext/ed25519/donna/fuzz/fuzz-curve25519.c | 172 + src/ext/ed25519/donna/fuzz/fuzz-ed25519.c | 219 + src/ext/ed25519/donna/modm-donna-32bit.h | 469 ++ src/ext/ed25519/donna/modm-donna-64bit.h | 361 ++ src/ext/ed25519/donna/regression.h | 1024 +++++ src/ext/ed25519/donna/test-internals.c | 190 + src/ext/ed25519/donna/test-ticks.h | 50 + src/ext/ed25519/donna/test.c | 260 ++ src/ext/include.am | 41 + src/test/bench.c | 30 +- src/test/test_crypto.c | 97 + 57 files changed, 16328 insertions(+), 19 deletions(-)

1 0

[tor/master] Import Andrew Moon's ed25519-donna.
by nickm＠torproject.org 09 Jul '15

09 Jul '15

commit 7b10741be4280d84a7ac9f41c54380cbc1f09c1b Author: Yawning Angel <yawning(a)schwanenlied.me> Date: Wed Jun 24 14:51:00 2015 +0000 Import Andrew Moon's ed25519-donna. This is a clean copy of ed25519-donna as of commit: 8757bd4cd209cb032853ece0ce413f122eef212c https://github.com/floodyberry/ed25519-donna --- src/ext/README | 5 + src/ext/ed25519/donna/README.md | 183 + src/ext/ed25519/donna/curve25519-donna-32bit.h | 579 +++ src/ext/ed25519/donna/curve25519-donna-64bit.h | 413 ++ src/ext/ed25519/donna/curve25519-donna-helpers.h | 67 + src/ext/ed25519/donna/curve25519-donna-sse2.h | 1112 +++++ src/ext/ed25519/donna/ed25519-donna-32bit-sse2.h | 513 +++ src/ext/ed25519/donna/ed25519-donna-32bit-tables.h | 61 + src/ext/ed25519/donna/ed25519-donna-64bit-sse2.h | 436 ++ src/ext/ed25519/donna/ed25519-donna-64bit-tables.h | 53 + .../ed25519/donna/ed25519-donna-64bit-x86-32bit.h | 435 ++ src/ext/ed25519/donna/ed25519-donna-64bit-x86.h | 351 ++ .../ed25519/donna/ed25519-donna-basepoint-table.h | 259 ++ src/ext/ed25519/donna/ed25519-donna-batchverify.h | 275 ++ src/ext/ed25519/donna/ed25519-donna-impl-base.h | 364 ++ src/ext/ed25519/donna/ed25519-donna-impl-sse2.h | 390 ++ .../donna/ed25519-donna-portable-identify.h | 103 + src/ext/ed25519/donna/ed25519-donna-portable.h | 135 + src/ext/ed25519/donna/ed25519-donna.h | 115 + src/ext/ed25519/donna/ed25519-hash-custom.h | 11 + src/ext/ed25519/donna/ed25519-hash.h | 219 + src/ext/ed25519/donna/ed25519-randombytes-custom.h | 8 + src/ext/ed25519/donna/ed25519-randombytes.h | 91 + src/ext/ed25519/donna/ed25519.c | 150 + src/ext/ed25519/donna/ed25519.h | 30 + src/ext/ed25519/donna/fuzz/README.md | 173 + src/ext/ed25519/donna/fuzz/build-nix.php | 134 + src/ext/ed25519/donna/fuzz/curve25519-ref10.c | 1272 ++++++ src/ext/ed25519/donna/fuzz/curve25519-ref10.h | 8 + src/ext/ed25519/donna/fuzz/ed25519-donna-sse2.c | 3 + src/ext/ed25519/donna/fuzz/ed25519-donna.c | 1 + src/ext/ed25519/donna/fuzz/ed25519-donna.h | 34 + src/ext/ed25519/donna/fuzz/ed25519-ref10.c | 4647 ++++++++++++++++++++ src/ext/ed25519/donna/fuzz/ed25519-ref10.h | 9 + src/ext/ed25519/donna/fuzz/fuzz-curve25519.c | 172 + src/ext/ed25519/donna/fuzz/fuzz-ed25519.c | 219 + src/ext/ed25519/donna/modm-donna-32bit.h | 469 ++ src/ext/ed25519/donna/modm-donna-64bit.h | 361 ++ src/ext/ed25519/donna/regression.h | 1024 +++++ src/ext/ed25519/donna/test-internals.c | 176 + src/ext/ed25519/donna/test-ticks.h | 50 + src/ext/ed25519/donna/test.c | 260 ++ 42 files changed, 15370 insertions(+) diff --git a/src/ext/README b/src/ext/README index b52c74d..5501aba 100644 --- a/src/ext/README +++ b/src/ext/README @@ -60,6 +60,11 @@ ed25519/ref10/* Daniel Bernsten's portable ref10 implementation of ed25519. Public domain. +ed25519/donna/* + + Andrew Moon's semi-portable ed25519-donna implementation of + ed25519. Public domain. + readpassphrase.[ch] Portable readpassphrase implementation from OpenSSH portable, version diff --git a/src/ext/ed25519/donna/README.md b/src/ext/ed25519/donna/README.md new file mode 100644 index 0000000..e09fc27 --- /dev/null +++ b/src/ext/ed25519/donna/README.md @@ -0,0 +1,183 @@ +[ed25519](http://ed25519.cr.yp.to/) is an +[Elliptic Curve Digital Signature Algortithm](http://en.wikipedia.org/wiki/Elliptic_Curve_DSA), +developed by [Dan Bernstein](http://cr.yp.to/djb.html), +[Niels Duif](http://www.nielsduif.nl/), +[Tanja Lange](http://hyperelliptic.org/tanja), +[Peter Schwabe](http://www.cryptojedi.org/users/peter/), +and [Bo-Yin Yang](http://www.iis.sinica.edu.tw/pages/byyang/). + +This project provides performant, portable 32-bit & 64-bit implementations. All implementations are +of course constant time in regard to secret data. + +#### Performance + +SSE2 code and benches have not been updated yet. I will do those next. + +Compilers versions are gcc 4.6.3, icc 13.1.1, clang 3.4-1~exp1. + +Batch verification time (in parentheses) is the average time per 1 verification in a batch of 64 signatures. Counts are in thousands of cycles. + +Note that SSE2 performance may be less impressive on AMD & older CPUs with slower SSE ops! + +Visual Studio performance for `ge25519_scalarmult_base_niels` will lag behind a bit until optimized assembler versions of `ge25519_scalarmult_base_choose_niels` +are made. + +##### E5200 @ 2.5ghz, march=core2 + +<table> +<thead><tr><th>Implementation</th><th>Sign</th><th>gcc</th><th>icc</th><th>clang</th><th>Verify</th><th>gcc</th><th>icc</th><th>clang</th></tr></thead> +<tbody> +<tr><td>ed25519-donna 64bit </td><td></td><td>100k</td><td>110k</td><td>137k</td><td></td><td>327k (144k) </td><td>342k (163k) </td><td>422k (194k) </td></tr> +<tr><td>amd64-64-24k </td><td></td><td>102k</td><td> </td><td> </td><td></td><td>355k (158k) </td><td> </td><td> </td></tr> +<tr><td>ed25519-donna-sse2 64bit</td><td></td><td>108k</td><td>111k</td><td>116k</td><td></td><td>353k (155k) </td><td>345k (154k) </td><td>360k (161k) </td></tr> +<tr><td>amd64-51-32k </td><td></td><td>116k</td><td> </td><td> </td><td></td><td>380k (175k) </td><td> </td><td> </td></tr> +<tr><td>ed25519-donna-sse2 32bit</td><td></td><td>147k</td><td>147k</td><td>156k</td><td></td><td>380k (178k) </td><td>381k (173k) </td><td>430k (192k) </td></tr> +<tr><td>ed25519-donna 32bit </td><td></td><td>597k</td><td>335k</td><td>380k</td><td></td><td>1693k (720k)</td><td>1052k (453k)</td><td>1141k (493k)</td></tr> +</tbody> +</table> + +##### E3-1270 @ 3.4ghz, march=corei7-avx + +<table> +<thead><tr><th>Implementation</th><th>Sign</th><th>gcc</th><th>icc</th><th>clang</th><th>Verify</th><th>gcc</th><th>icc</th><th>clang</th></tr></thead> +<tbody> +<tr><td>amd64-64-24k </td><td></td><td> 68k</td><td> </td><td> </td><td></td><td>225k (104k) </td><td> </td><td> </td></tr> +<tr><td>ed25519-donna 64bit </td><td></td><td> 71k</td><td> 75k</td><td> 90k</td><td></td><td>226k (105k) </td><td>226k (112k) </td><td>277k (125k) </td></tr> +<tr><td>amd64-51-32k </td><td></td><td> 72k</td><td> </td><td> </td><td></td><td>218k (107k) </td><td> </td><td> </td></tr> +<tr><td>ed25519-donna-sse2 64bit</td><td></td><td> 79k</td><td> 82k</td><td> 92k</td><td></td><td>252k (122k) </td><td>259k (124k) </td><td>282k (131k) </td></tr> +<tr><td>ed25519-donna-sse2 32bit</td><td></td><td> 94k</td><td> 95k</td><td>103k</td><td></td><td>296k (146k) </td><td>294k (137k) </td><td>306k (147k) </td></tr> +<tr><td>ed25519-donna 32bit </td><td></td><td>525k</td><td>299k</td><td>316k</td><td></td><td>1502k (645k)</td><td>959k (418k) </td><td>954k (416k) </td></tr> +</tbody> +</table> + +#### Compilation + +No configuration is needed **if you are compiling against OpenSSL**. + +##### Hash Options + +If you are not compiling aginst OpenSSL, you will need a hash function. + +To use a simple/**slow** implementation of SHA-512, use `-DED25519_REFHASH` when compiling `ed25519.c`. +This should never be used except to verify the code works when OpenSSL is not available. + +To use a custom hash function, use `-DED25519_CUSTOMHASH` when compiling `ed25519.c` and put your +custom hash implementation in ed25519-hash-custom.h. The hash must have a 512bit digest and implement + + struct ed25519_hash_context; + + void ed25519_hash_init(ed25519_hash_context *ctx); + void ed25519_hash_update(ed25519_hash_context *ctx, const uint8_t *in, size_t inlen); + void ed25519_hash_final(ed25519_hash_context *ctx, uint8_t *hash); + void ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen); + +##### Random Options + +If you are not compiling aginst OpenSSL, you will need a random function for batch verification. + +To use a custom random function, use `-DED25519_CUSTOMRANDOM` when compiling `ed25519.c` and put your +custom hash implementation in ed25519-randombytes-custom.h. The random function must implement: + + void ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len); + +Use `-DED25519_TEST` when compiling `ed25519.c` to use a deterministically seeded, non-thread safe CSPRNG +variant of Bob Jenkins [ISAAC](http://en.wikipedia.org/wiki/ISAAC_%28cipher%29) + +##### Minor options + +Use `-DED25519_INLINE_ASM` to disable the use of custom assembler routines and instead rely on portable C. + +Use `-DED25519_FORCE_32BIT` to force the use of 32 bit routines even when compiling for 64 bit. + +##### 32-bit + + gcc ed25519.c -m32 -O3 -c + +##### 64-bit + + gcc ed25519.c -m64 -O3 -c + +##### SSE2 + + gcc ed25519.c -m32 -O3 -c -DED25519_SSE2 -msse2 + gcc ed25519.c -m64 -O3 -c -DED25519_SSE2 + +clang and icc are also supported + + +#### Usage + +To use the code, link against `ed25519.o -mbits` and: + + #include "ed25519.h" + +Add `-lssl -lcrypto` when using OpenSSL (Some systems don't need -lcrypto? It might be trial and error). + +To generate a private key, simply generate 32 bytes from a secure +cryptographic source: + + ed25519_secret_key sk; + randombytes(sk, sizeof(ed25519_secret_key)); + +To generate a public key: + + ed25519_public_key pk; + ed25519_publickey(sk, pk); + +To sign a message: + + ed25519_signature sig; + ed25519_sign(message, message_len, sk, pk, signature); + +To verify a signature: + + int valid = ed25519_sign_open(message, message_len, pk, signature) == 0; + +To batch verify signatures: + + const unsigned char *mp[num] = {message1, message2..} + size_t ml[num] = {message_len1, message_len2..} + const unsigned char *pkp[num] = {pk1, pk2..} + const unsigned char *sigp[num] = {signature1, signature2..} + int valid[num] + + /* valid[i] will be set to 1 if the individual signature was valid, 0 otherwise */ + int all_valid = ed25519_sign_open_batch(mp, ml, pkp, sigp, num, valid) == 0; + +**Note**: Batch verification uses `ed25519_randombytes_unsafe`, implemented in +`ed25519-randombytes.h`, to generate random scalars for the verification code. +The default implementation now uses OpenSSLs `RAND_bytes`. + +Unlike the [SUPERCOP](http://bench.cr.yp.to/supercop.html) version, signatures are +not appended to messages, and there is no need for padding in front of messages. +Additionally, the secret key does not contain a copy of the public key, so it is +32 bytes instead of 64 bytes, and the public key must be provided to the signing +function. + +##### Curve25519 + +Curve25519 public keys can be generated thanks to +[Adam Langley](http://www.imperialviolet.org/2013/05/10/fastercurve25519.html) +leveraging Ed25519's precomputed basepoint scalar multiplication. + + curved25519_key sk, pk; + randombytes(sk, sizeof(curved25519_key)); + curved25519_scalarmult_basepoint(pk, sk); + +Note the name is curved25519, a combination of curve and ed25519, to prevent +name clashes. Performance is slightly faster than short message ed25519 +signing due to both using the same code for the scalar multiply. + +#### Testing + +Fuzzing against reference implemenations is now available. See [fuzz/README](fuzz/README.md). + +Building `ed25519.c` with `-DED25519_TEST` and linking with `test.c` will run basic sanity tests +and benchmark each function. `test-batch.c` has been incorporated in to `test.c`. + +`test-internals.c` is standalone and built the same way as `ed25519.c`. It tests the math primitives +with extreme values to ensure they function correctly. SSE2 is now supported. + +#### Papers + +[Available on the Ed25519 website](http://ed25519.cr.yp.to/papers.html) \ No newline at end of file diff --git a/src/ext/ed25519/donna/curve25519-donna-32bit.h b/src/ext/ed25519/donna/curve25519-donna-32bit.h new file mode 100644 index 0000000..b0861ac --- /dev/null +++ b/src/ext/ed25519/donna/curve25519-donna-32bit.h @@ -0,0 +1,579 @@ +/* + Public domain by Andrew M. <liquidsun(a)gmail.com> + See: https://github.com/floodyberry/curve25519-donna + + 32 bit integer curve25519 implementation +*/ + +typedef uint32_t bignum25519[10]; +typedef uint32_t bignum25519align16[12]; + +static const uint32_t reduce_mask_25 = (1 << 25) - 1; +static const uint32_t reduce_mask_26 = (1 << 26) - 1; + + +/* out = in */ +DONNA_INLINE static void +curve25519_copy(bignum25519 out, const bignum25519 in) { + out[0] = in[0]; + out[1] = in[1]; + out[2] = in[2]; + out[3] = in[3]; + out[4] = in[4]; + out[5] = in[5]; + out[6] = in[6]; + out[7] = in[7]; + out[8] = in[8]; + out[9] = in[9]; +} + +/* out = a + b */ +DONNA_INLINE static void +curve25519_add(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; + out[5] = a[5] + b[5]; + out[6] = a[6] + b[6]; + out[7] = a[7] + b[7]; + out[8] = a[8] + b[8]; + out[9] = a[9] + b[9]; +} + +DONNA_INLINE static void +curve25519_add_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) { + uint32_t c; + out[0] = a[0] + b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26; + out[1] = a[1] + b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25; + out[2] = a[2] + b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26; + out[3] = a[3] + b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25; + out[4] = a[4] + b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26; + out[5] = a[5] + b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25; + out[6] = a[6] + b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26; + out[7] = a[7] + b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25; + out[8] = a[8] + b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26; + out[9] = a[9] + b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25; + out[0] += 19 * c; +} + +DONNA_INLINE static void +curve25519_add_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { + uint32_t c; + out[0] = a[0] + b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26; + out[1] = a[1] + b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25; + out[2] = a[2] + b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26; + out[3] = a[3] + b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25; + out[4] = a[4] + b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26; + out[5] = a[5] + b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25; + out[6] = a[6] + b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26; + out[7] = a[7] + b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25; + out[8] = a[8] + b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26; + out[9] = a[9] + b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25; + out[0] += 19 * c; +} + +/* multiples of p */ +static const uint32_t twoP0 = 0x07ffffda; +static const uint32_t twoP13579 = 0x03fffffe; +static const uint32_t twoP2468 = 0x07fffffe; +static const uint32_t fourP0 = 0x0fffffb4; +static const uint32_t fourP13579 = 0x07fffffc; +static const uint32_t fourP2468 = 0x0ffffffc; + +/* out = a - b */ +DONNA_INLINE static void +curve25519_sub(bignum25519 out, const bignum25519 a, const bignum25519 b) { + uint32_t c; + out[0] = twoP0 + a[0] - b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26; + out[1] = twoP13579 + a[1] - b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25; + out[2] = twoP2468 + a[2] - b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26; + out[3] = twoP13579 + a[3] - b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25; + out[4] = twoP2468 + a[4] - b[4] + c; + out[5] = twoP13579 + a[5] - b[5] ; + out[6] = twoP2468 + a[6] - b[6] ; + out[7] = twoP13579 + a[7] - b[7] ; + out[8] = twoP2468 + a[8] - b[8] ; + out[9] = twoP13579 + a[9] - b[9] ; +} + +/* out = a - b, where a is the result of a basic op (add,sub) */ +DONNA_INLINE static void +curve25519_sub_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) { + uint32_t c; + out[0] = fourP0 + a[0] - b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26; + out[1] = fourP13579 + a[1] - b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25; + out[2] = fourP2468 + a[2] - b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26; + out[3] = fourP13579 + a[3] - b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25; + out[4] = fourP2468 + a[4] - b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26; + out[5] = fourP13579 + a[5] - b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25; + out[6] = fourP2468 + a[6] - b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26; + out[7] = fourP13579 + a[7] - b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25; + out[8] = fourP2468 + a[8] - b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26; + out[9] = fourP13579 + a[9] - b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25; + out[0] += 19 * c; +} + +DONNA_INLINE static void +curve25519_sub_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { + uint32_t c; + out[0] = fourP0 + a[0] - b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26; + out[1] = fourP13579 + a[1] - b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25; + out[2] = fourP2468 + a[2] - b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26; + out[3] = fourP13579 + a[3] - b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25; + out[4] = fourP2468 + a[4] - b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26; + out[5] = fourP13579 + a[5] - b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25; + out[6] = fourP2468 + a[6] - b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26; + out[7] = fourP13579 + a[7] - b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25; + out[8] = fourP2468 + a[8] - b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26; + out[9] = fourP13579 + a[9] - b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25; + out[0] += 19 * c; +} + +/* out = -a */ +DONNA_INLINE static void +curve25519_neg(bignum25519 out, const bignum25519 a) { + uint32_t c; + out[0] = twoP0 - a[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26; + out[1] = twoP13579 - a[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25; + out[2] = twoP2468 - a[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26; + out[3] = twoP13579 - a[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25; + out[4] = twoP2468 - a[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26; + out[5] = twoP13579 - a[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25; + out[6] = twoP2468 - a[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26; + out[7] = twoP13579 - a[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25; + out[8] = twoP2468 - a[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26; + out[9] = twoP13579 - a[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25; + out[0] += 19 * c; +} + +/* out = a * b */ +#define curve25519_mul_noinline curve25519_mul +static void +curve25519_mul(bignum25519 out, const bignum25519 a, const bignum25519 b) { + uint32_t r0,r1,r2,r3,r4,r5,r6,r7,r8,r9; + uint32_t s0,s1,s2,s3,s4,s5,s6,s7,s8,s9; + uint64_t m0,m1,m2,m3,m4,m5,m6,m7,m8,m9,c; + uint32_t p; + + r0 = b[0]; + r1 = b[1]; + r2 = b[2]; + r3 = b[3]; + r4 = b[4]; + r5 = b[5]; + r6 = b[6]; + r7 = b[7]; + r8 = b[8]; + r9 = b[9]; + + s0 = a[0]; + s1 = a[1]; + s2 = a[2]; + s3 = a[3]; + s4 = a[4]; + s5 = a[5]; + s6 = a[6]; + s7 = a[7]; + s8 = a[8]; + s9 = a[9]; + + m1 = mul32x32_64(r0, s1) + mul32x32_64(r1, s0); + m3 = mul32x32_64(r0, s3) + mul32x32_64(r1, s2) + mul32x32_64(r2, s1) + mul32x32_64(r3, s0); + m5 = mul32x32_64(r0, s5) + mul32x32_64(r1, s4) + mul32x32_64(r2, s3) + mul32x32_64(r3, s2) + mul32x32_64(r4, s1) + mul32x32_64(r5, s0); + m7 = mul32x32_64(r0, s7) + mul32x32_64(r1, s6) + mul32x32_64(r2, s5) + mul32x32_64(r3, s4) + mul32x32_64(r4, s3) + mul32x32_64(r5, s2) + mul32x32_64(r6, s1) + mul32x32_64(r7, s0); + m9 = mul32x32_64(r0, s9) + mul32x32_64(r1, s8) + mul32x32_64(r2, s7) + mul32x32_64(r3, s6) + mul32x32_64(r4, s5) + mul32x32_64(r5, s4) + mul32x32_64(r6, s3) + mul32x32_64(r7, s2) + mul32x32_64(r8, s1) + mul32x32_64(r9, s0); + + r1 *= 2; + r3 *= 2; + r5 *= 2; + r7 *= 2; + + m0 = mul32x32_64(r0, s0); + m2 = mul32x32_64(r0, s2) + mul32x32_64(r1, s1) + mul32x32_64(r2, s0); + m4 = mul32x32_64(r0, s4) + mul32x32_64(r1, s3) + mul32x32_64(r2, s2) + mul32x32_64(r3, s1) + mul32x32_64(r4, s0); + m6 = mul32x32_64(r0, s6) + mul32x32_64(r1, s5) + mul32x32_64(r2, s4) + mul32x32_64(r3, s3) + mul32x32_64(r4, s2) + mul32x32_64(r5, s1) + mul32x32_64(r6, s0); + m8 = mul32x32_64(r0, s8) + mul32x32_64(r1, s7) + mul32x32_64(r2, s6) + mul32x32_64(r3, s5) + mul32x32_64(r4, s4) + mul32x32_64(r5, s3) + mul32x32_64(r6, s2) + mul32x32_64(r7, s1) + mul32x32_64(r8, s0); + + r1 *= 19; + r2 *= 19; + r3 = (r3 / 2) * 19; + r4 *= 19; + r5 = (r5 / 2) * 19; + r6 *= 19; + r7 = (r7 / 2) * 19; + r8 *= 19; + r9 *= 19; + + m1 += (mul32x32_64(r9, s2) + mul32x32_64(r8, s3) + mul32x32_64(r7, s4) + mul32x32_64(r6, s5) + mul32x32_64(r5, s6) + mul32x32_64(r4, s7) + mul32x32_64(r3, s8) + mul32x32_64(r2, s9)); + m3 += (mul32x32_64(r9, s4) + mul32x32_64(r8, s5) + mul32x32_64(r7, s6) + mul32x32_64(r6, s7) + mul32x32_64(r5, s8) + mul32x32_64(r4, s9)); + m5 += (mul32x32_64(r9, s6) + mul32x32_64(r8, s7) + mul32x32_64(r7, s8) + mul32x32_64(r6, s9)); + m7 += (mul32x32_64(r9, s8) + mul32x32_64(r8, s9)); + + r3 *= 2; + r5 *= 2; + r7 *= 2; + r9 *= 2; + + m0 += (mul32x32_64(r9, s1) + mul32x32_64(r8, s2) + mul32x32_64(r7, s3) + mul32x32_64(r6, s4) + mul32x32_64(r5, s5) + mul32x32_64(r4, s6) + mul32x32_64(r3, s7) + mul32x32_64(r2, s8) + mul32x32_64(r1, s9)); + m2 += (mul32x32_64(r9, s3) + mul32x32_64(r8, s4) + mul32x32_64(r7, s5) + mul32x32_64(r6, s6) + mul32x32_64(r5, s7) + mul32x32_64(r4, s8) + mul32x32_64(r3, s9)); + m4 += (mul32x32_64(r9, s5) + mul32x32_64(r8, s6) + mul32x32_64(r7, s7) + mul32x32_64(r6, s8) + mul32x32_64(r5, s9)); + m6 += (mul32x32_64(r9, s7) + mul32x32_64(r8, s8) + mul32x32_64(r7, s9)); + m8 += (mul32x32_64(r9, s9)); + + r0 = (uint32_t)m0 & reduce_mask_26; c = (m0 >> 26); + m1 += c; r1 = (uint32_t)m1 & reduce_mask_25; c = (m1 >> 25); + m2 += c; r2 = (uint32_t)m2 & reduce_mask_26; c = (m2 >> 26); + m3 += c; r3 = (uint32_t)m3 & reduce_mask_25; c = (m3 >> 25); + m4 += c; r4 = (uint32_t)m4 & reduce_mask_26; c = (m4 >> 26); + m5 += c; r5 = (uint32_t)m5 & reduce_mask_25; c = (m5 >> 25); + m6 += c; r6 = (uint32_t)m6 & reduce_mask_26; c = (m6 >> 26); + m7 += c; r7 = (uint32_t)m7 & reduce_mask_25; c = (m7 >> 25); + m8 += c; r8 = (uint32_t)m8 & reduce_mask_26; c = (m8 >> 26); + m9 += c; r9 = (uint32_t)m9 & reduce_mask_25; p = (uint32_t)(m9 >> 25); + m0 = r0 + mul32x32_64(p,19); r0 = (uint32_t)m0 & reduce_mask_26; p = (uint32_t)(m0 >> 26); + r1 += p; + + out[0] = r0; + out[1] = r1; + out[2] = r2; + out[3] = r3; + out[4] = r4; + out[5] = r5; + out[6] = r6; + out[7] = r7; + out[8] = r8; + out[9] = r9; +} + +/* out = in*in */ +static void +curve25519_square(bignum25519 out, const bignum25519 in) { + uint32_t r0,r1,r2,r3,r4,r5,r6,r7,r8,r9; + uint32_t d6,d7,d8,d9; + uint64_t m0,m1,m2,m3,m4,m5,m6,m7,m8,m9,c; + uint32_t p; + + r0 = in[0]; + r1 = in[1]; + r2 = in[2]; + r3 = in[3]; + r4 = in[4]; + r5 = in[5]; + r6 = in[6]; + r7 = in[7]; + r8 = in[8]; + r9 = in[9]; + + m0 = mul32x32_64(r0, r0); + r0 *= 2; + m1 = mul32x32_64(r0, r1); + m2 = mul32x32_64(r0, r2) + mul32x32_64(r1, r1 * 2); + r1 *= 2; + m3 = mul32x32_64(r0, r3) + mul32x32_64(r1, r2 ); + m4 = mul32x32_64(r0, r4) + mul32x32_64(r1, r3 * 2) + mul32x32_64(r2, r2); + r2 *= 2; + m5 = mul32x32_64(r0, r5) + mul32x32_64(r1, r4 ) + mul32x32_64(r2, r3); + m6 = mul32x32_64(r0, r6) + mul32x32_64(r1, r5 * 2) + mul32x32_64(r2, r4) + mul32x32_64(r3, r3 * 2); + r3 *= 2; + m7 = mul32x32_64(r0, r7) + mul32x32_64(r1, r6 ) + mul32x32_64(r2, r5) + mul32x32_64(r3, r4 ); + m8 = mul32x32_64(r0, r8) + mul32x32_64(r1, r7 * 2) + mul32x32_64(r2, r6) + mul32x32_64(r3, r5 * 2) + mul32x32_64(r4, r4 ); + m9 = mul32x32_64(r0, r9) + mul32x32_64(r1, r8 ) + mul32x32_64(r2, r7) + mul32x32_64(r3, r6 ) + mul32x32_64(r4, r5 * 2); + + d6 = r6 * 19; + d7 = r7 * 2 * 19; + d8 = r8 * 19; + d9 = r9 * 2 * 19; + + m0 += (mul32x32_64(d9, r1 ) + mul32x32_64(d8, r2 ) + mul32x32_64(d7, r3 ) + mul32x32_64(d6, r4 * 2) + mul32x32_64(r5, r5 * 2 * 19)); + m1 += (mul32x32_64(d9, r2 / 2) + mul32x32_64(d8, r3 ) + mul32x32_64(d7, r4 ) + mul32x32_64(d6, r5 * 2)); + m2 += (mul32x32_64(d9, r3 ) + mul32x32_64(d8, r4 * 2) + mul32x32_64(d7, r5 * 2) + mul32x32_64(d6, r6 )); + m3 += (mul32x32_64(d9, r4 ) + mul32x32_64(d8, r5 * 2) + mul32x32_64(d7, r6 )); + m4 += (mul32x32_64(d9, r5 * 2) + mul32x32_64(d8, r6 * 2) + mul32x32_64(d7, r7 )); + m5 += (mul32x32_64(d9, r6 ) + mul32x32_64(d8, r7 * 2)); + m6 += (mul32x32_64(d9, r7 * 2) + mul32x32_64(d8, r8 )); + m7 += (mul32x32_64(d9, r8 )); + m8 += (mul32x32_64(d9, r9 )); + + r0 = (uint32_t)m0 & reduce_mask_26; c = (m0 >> 26); + m1 += c; r1 = (uint32_t)m1 & reduce_mask_25; c = (m1 >> 25); + m2 += c; r2 = (uint32_t)m2 & reduce_mask_26; c = (m2 >> 26); + m3 += c; r3 = (uint32_t)m3 & reduce_mask_25; c = (m3 >> 25); + m4 += c; r4 = (uint32_t)m4 & reduce_mask_26; c = (m4 >> 26); + m5 += c; r5 = (uint32_t)m5 & reduce_mask_25; c = (m5 >> 25); + m6 += c; r6 = (uint32_t)m6 & reduce_mask_26; c = (m6 >> 26); + m7 += c; r7 = (uint32_t)m7 & reduce_mask_25; c = (m7 >> 25); + m8 += c; r8 = (uint32_t)m8 & reduce_mask_26; c = (m8 >> 26); + m9 += c; r9 = (uint32_t)m9 & reduce_mask_25; p = (uint32_t)(m9 >> 25); + m0 = r0 + mul32x32_64(p,19); r0 = (uint32_t)m0 & reduce_mask_26; p = (uint32_t)(m0 >> 26); + r1 += p; + + out[0] = r0; + out[1] = r1; + out[2] = r2; + out[3] = r3; + out[4] = r4; + out[5] = r5; + out[6] = r6; + out[7] = r7; + out[8] = r8; + out[9] = r9; +} + + +/* out = in ^ (2 * count) */ +static void +curve25519_square_times(bignum25519 out, const bignum25519 in, int count) { + uint32_t r0,r1,r2,r3,r4,r5,r6,r7,r8,r9; + uint32_t d6,d7,d8,d9; + uint64_t m0,m1,m2,m3,m4,m5,m6,m7,m8,m9,c; + uint32_t p; + + r0 = in[0]; + r1 = in[1]; + r2 = in[2]; + r3 = in[3]; + r4 = in[4]; + r5 = in[5]; + r6 = in[6]; + r7 = in[7]; + r8 = in[8]; + r9 = in[9]; + + do { + m0 = mul32x32_64(r0, r0); + r0 *= 2; + m1 = mul32x32_64(r0, r1); + m2 = mul32x32_64(r0, r2) + mul32x32_64(r1, r1 * 2); + r1 *= 2; + m3 = mul32x32_64(r0, r3) + mul32x32_64(r1, r2 ); + m4 = mul32x32_64(r0, r4) + mul32x32_64(r1, r3 * 2) + mul32x32_64(r2, r2); + r2 *= 2; + m5 = mul32x32_64(r0, r5) + mul32x32_64(r1, r4 ) + mul32x32_64(r2, r3); + m6 = mul32x32_64(r0, r6) + mul32x32_64(r1, r5 * 2) + mul32x32_64(r2, r4) + mul32x32_64(r3, r3 * 2); + r3 *= 2; + m7 = mul32x32_64(r0, r7) + mul32x32_64(r1, r6 ) + mul32x32_64(r2, r5) + mul32x32_64(r3, r4 ); + m8 = mul32x32_64(r0, r8) + mul32x32_64(r1, r7 * 2) + mul32x32_64(r2, r6) + mul32x32_64(r3, r5 * 2) + mul32x32_64(r4, r4 ); + m9 = mul32x32_64(r0, r9) + mul32x32_64(r1, r8 ) + mul32x32_64(r2, r7) + mul32x32_64(r3, r6 ) + mul32x32_64(r4, r5 * 2); + + d6 = r6 * 19; + d7 = r7 * 2 * 19; + d8 = r8 * 19; + d9 = r9 * 2 * 19; + + m0 += (mul32x32_64(d9, r1 ) + mul32x32_64(d8, r2 ) + mul32x32_64(d7, r3 ) + mul32x32_64(d6, r4 * 2) + mul32x32_64(r5, r5 * 2 * 19)); + m1 += (mul32x32_64(d9, r2 / 2) + mul32x32_64(d8, r3 ) + mul32x32_64(d7, r4 ) + mul32x32_64(d6, r5 * 2)); + m2 += (mul32x32_64(d9, r3 ) + mul32x32_64(d8, r4 * 2) + mul32x32_64(d7, r5 * 2) + mul32x32_64(d6, r6 )); + m3 += (mul32x32_64(d9, r4 ) + mul32x32_64(d8, r5 * 2) + mul32x32_64(d7, r6 )); + m4 += (mul32x32_64(d9, r5 * 2) + mul32x32_64(d8, r6 * 2) + mul32x32_64(d7, r7 )); + m5 += (mul32x32_64(d9, r6 ) + mul32x32_64(d8, r7 * 2)); + m6 += (mul32x32_64(d9, r7 * 2) + mul32x32_64(d8, r8 )); + m7 += (mul32x32_64(d9, r8 )); + m8 += (mul32x32_64(d9, r9 )); + + r0 = (uint32_t)m0 & reduce_mask_26; c = (m0 >> 26); + m1 += c; r1 = (uint32_t)m1 & reduce_mask_25; c = (m1 >> 25); + m2 += c; r2 = (uint32_t)m2 & reduce_mask_26; c = (m2 >> 26); + m3 += c; r3 = (uint32_t)m3 & reduce_mask_25; c = (m3 >> 25); + m4 += c; r4 = (uint32_t)m4 & reduce_mask_26; c = (m4 >> 26); + m5 += c; r5 = (uint32_t)m5 & reduce_mask_25; c = (m5 >> 25); + m6 += c; r6 = (uint32_t)m6 & reduce_mask_26; c = (m6 >> 26); + m7 += c; r7 = (uint32_t)m7 & reduce_mask_25; c = (m7 >> 25); + m8 += c; r8 = (uint32_t)m8 & reduce_mask_26; c = (m8 >> 26); + m9 += c; r9 = (uint32_t)m9 & reduce_mask_25; p = (uint32_t)(m9 >> 25); + m0 = r0 + mul32x32_64(p,19); r0 = (uint32_t)m0 & reduce_mask_26; p = (uint32_t)(m0 >> 26); + r1 += p; + } while (--count); + + out[0] = r0; + out[1] = r1; + out[2] = r2; + out[3] = r3; + out[4] = r4; + out[5] = r5; + out[6] = r6; + out[7] = r7; + out[8] = r8; + out[9] = r9; +} + +/* Take a little-endian, 32-byte number and expand it into polynomial form */ +static void +curve25519_expand(bignum25519 out, const unsigned char in[32]) { + static const union { uint8_t b[2]; uint16_t s; } endian_check = {{1,0}}; + uint32_t x0,x1,x2,x3,x4,x5,x6,x7; + + if (endian_check.s == 1) { + x0 = *(uint32_t *)(in + 0); + x1 = *(uint32_t *)(in + 4); + x2 = *(uint32_t *)(in + 8); + x3 = *(uint32_t *)(in + 12); + x4 = *(uint32_t *)(in + 16); + x5 = *(uint32_t *)(in + 20); + x6 = *(uint32_t *)(in + 24); + x7 = *(uint32_t *)(in + 28); + } else { + #define F(s) \ + ((((uint32_t)in[s + 0]) ) | \ + (((uint32_t)in[s + 1]) << 8) | \ + (((uint32_t)in[s + 2]) << 16) | \ + (((uint32_t)in[s + 3]) << 24)) + x0 = F(0); + x1 = F(4); + x2 = F(8); + x3 = F(12); + x4 = F(16); + x5 = F(20); + x6 = F(24); + x7 = F(28); + #undef F + } + + out[0] = ( x0 ) & 0x3ffffff; + out[1] = ((((uint64_t)x1 << 32) | x0) >> 26) & 0x1ffffff; + out[2] = ((((uint64_t)x2 << 32) | x1) >> 19) & 0x3ffffff; + out[3] = ((((uint64_t)x3 << 32) | x2) >> 13) & 0x1ffffff; + out[4] = (( x3) >> 6) & 0x3ffffff; + out[5] = ( x4 ) & 0x1ffffff; + out[6] = ((((uint64_t)x5 << 32) | x4) >> 25) & 0x3ffffff; + out[7] = ((((uint64_t)x6 << 32) | x5) >> 19) & 0x1ffffff; + out[8] = ((((uint64_t)x7 << 32) | x6) >> 12) & 0x3ffffff; + out[9] = (( x7) >> 6) & 0x1ffffff; +} + +/* Take a fully reduced polynomial form number and contract it into a + * little-endian, 32-byte array + */ +static void +curve25519_contract(unsigned char out[32], const bignum25519 in) { + bignum25519 f; + curve25519_copy(f, in); + + #define carry_pass() \ + f[1] += f[0] >> 26; f[0] &= reduce_mask_26; \ + f[2] += f[1] >> 25; f[1] &= reduce_mask_25; \ + f[3] += f[2] >> 26; f[2] &= reduce_mask_26; \ + f[4] += f[3] >> 25; f[3] &= reduce_mask_25; \ + f[5] += f[4] >> 26; f[4] &= reduce_mask_26; \ + f[6] += f[5] >> 25; f[5] &= reduce_mask_25; \ + f[7] += f[6] >> 26; f[6] &= reduce_mask_26; \ + f[8] += f[7] >> 25; f[7] &= reduce_mask_25; \ + f[9] += f[8] >> 26; f[8] &= reduce_mask_26; + + #define carry_pass_full() \ + carry_pass() \ + f[0] += 19 * (f[9] >> 25); f[9] &= reduce_mask_25; + + #define carry_pass_final() \ + carry_pass() \ + f[9] &= reduce_mask_25; + + carry_pass_full() + carry_pass_full() + + /* now t is between 0 and 2^255-1, properly carried. */ + /* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */ + f[0] += 19; + carry_pass_full() + + /* now between 19 and 2^255-1 in both cases, and offset by 19. */ + f[0] += (reduce_mask_26 + 1) - 19; + f[1] += (reduce_mask_25 + 1) - 1; + f[2] += (reduce_mask_26 + 1) - 1; + f[3] += (reduce_mask_25 + 1) - 1; + f[4] += (reduce_mask_26 + 1) - 1; + f[5] += (reduce_mask_25 + 1) - 1; + f[6] += (reduce_mask_26 + 1) - 1; + f[7] += (reduce_mask_25 + 1) - 1; + f[8] += (reduce_mask_26 + 1) - 1; + f[9] += (reduce_mask_25 + 1) - 1; + + /* now between 2^255 and 2^256-20, and offset by 2^255. */ + carry_pass_final() + + #undef carry_pass + #undef carry_full + #undef carry_final + + f[1] <<= 2; + f[2] <<= 3; + f[3] <<= 5; + f[4] <<= 6; + f[6] <<= 1; + f[7] <<= 3; + f[8] <<= 4; + f[9] <<= 6; + + #define F(i, s) \ + out[s+0] |= (unsigned char )(f[i] & 0xff); \ + out[s+1] = (unsigned char )((f[i] >> 8) & 0xff); \ + out[s+2] = (unsigned char )((f[i] >> 16) & 0xff); \ + out[s+3] = (unsigned char )((f[i] >> 24) & 0xff); + + out[0] = 0; + out[16] = 0; + F(0,0); + F(1,3); + F(2,6); + F(3,9); + F(4,12); + F(5,16); + F(6,19); + F(7,22); + F(8,25); + F(9,28); + #undef F +} + + +/* out = (flag) ? in : out */ +DONNA_INLINE static void +curve25519_move_conditional_bytes(uint8_t out[96], const uint8_t in[96], uint32_t flag) { + const uint32_t nb = flag - 1, b = ~nb; + const uint32_t *inl = (const uint32_t *)in; + uint32_t *outl = (uint32_t *)out; + outl[0] = (outl[0] & nb) | (inl[0] & b); + outl[1] = (outl[1] & nb) | (inl[1] & b); + outl[2] = (outl[2] & nb) | (inl[2] & b); + outl[3] = (outl[3] & nb) | (inl[3] & b); + outl[4] = (outl[4] & nb) | (inl[4] & b); + outl[5] = (outl[5] & nb) | (inl[5] & b); + outl[6] = (outl[6] & nb) | (inl[6] & b); + outl[7] = (outl[7] & nb) | (inl[7] & b); + outl[8] = (outl[8] & nb) | (inl[8] & b); + outl[9] = (outl[9] & nb) | (inl[9] & b); + outl[10] = (outl[10] & nb) | (inl[10] & b); + outl[11] = (outl[11] & nb) | (inl[11] & b); + outl[12] = (outl[12] & nb) | (inl[12] & b); + outl[13] = (outl[13] & nb) | (inl[13] & b); + outl[14] = (outl[14] & nb) | (inl[14] & b); + outl[15] = (outl[15] & nb) | (inl[15] & b); + outl[16] = (outl[16] & nb) | (inl[16] & b); + outl[17] = (outl[17] & nb) | (inl[17] & b); + outl[18] = (outl[18] & nb) | (inl[18] & b); + outl[19] = (outl[19] & nb) | (inl[19] & b); + outl[20] = (outl[20] & nb) | (inl[20] & b); + outl[21] = (outl[21] & nb) | (inl[21] & b); + outl[22] = (outl[22] & nb) | (inl[22] & b); + outl[23] = (outl[23] & nb) | (inl[23] & b); + +} + +/* if (iswap) swap(a, b) */ +DONNA_INLINE static void +curve25519_swap_conditional(bignum25519 a, bignum25519 b, uint32_t iswap) { + const uint32_t swap = (uint32_t)(-(int32_t)iswap); + uint32_t x0,x1,x2,x3,x4,x5,x6,x7,x8,x9; + + x0 = swap & (a[0] ^ b[0]); a[0] ^= x0; b[0] ^= x0; + x1 = swap & (a[1] ^ b[1]); a[1] ^= x1; b[1] ^= x1; + x2 = swap & (a[2] ^ b[2]); a[2] ^= x2; b[2] ^= x2; + x3 = swap & (a[3] ^ b[3]); a[3] ^= x3; b[3] ^= x3; + x4 = swap & (a[4] ^ b[4]); a[4] ^= x4; b[4] ^= x4; + x5 = swap & (a[5] ^ b[5]); a[5] ^= x5; b[5] ^= x5; + x6 = swap & (a[6] ^ b[6]); a[6] ^= x6; b[6] ^= x6; + x7 = swap & (a[7] ^ b[7]); a[7] ^= x7; b[7] ^= x7; + x8 = swap & (a[8] ^ b[8]); a[8] ^= x8; b[8] ^= x8; + x9 = swap & (a[9] ^ b[9]); a[9] ^= x9; b[9] ^= x9; +} diff --git a/src/ext/ed25519/donna/curve25519-donna-64bit.h b/src/ext/ed25519/donna/curve25519-donna-64bit.h new file mode 100644 index 0000000..2941d1b --- /dev/null +++ b/src/ext/ed25519/donna/curve25519-donna-64bit.h @@ -0,0 +1,413 @@ +/* + Public domain by Adam Langley <agl(a)imperialviolet.org> & + Andrew M. <liquidsun(a)gmail.com> + See: https://github.com/floodyberry/curve25519-donna + + 64bit integer curve25519 implementation +*/ + +typedef uint64_t bignum25519[5]; + +static const uint64_t reduce_mask_40 = ((uint64_t)1 << 40) - 1; +static const uint64_t reduce_mask_51 = ((uint64_t)1 << 51) - 1; +static const uint64_t reduce_mask_56 = ((uint64_t)1 << 56) - 1; + +/* out = in */ +DONNA_INLINE static void +curve25519_copy(bignum25519 out, const bignum25519 in) { + out[0] = in[0]; + out[1] = in[1]; + out[2] = in[2]; + out[3] = in[3]; + out[4] = in[4]; +} + +/* out = a + b */ +DONNA_INLINE static void +curve25519_add(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; +} + +/* out = a + b, where a and/or b are the result of a basic op (add,sub) */ +DONNA_INLINE static void +curve25519_add_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; +} + +DONNA_INLINE static void +curve25519_add_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { + uint64_t c; + out[0] = a[0] + b[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51; + out[1] = a[1] + b[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51; + out[2] = a[2] + b[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51; + out[3] = a[3] + b[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51; + out[4] = a[4] + b[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51; + out[0] += c * 19; +} + +/* multiples of p */ +static const uint64_t twoP0 = 0x0fffffffffffda; +static const uint64_t twoP1234 = 0x0ffffffffffffe; +static const uint64_t fourP0 = 0x1fffffffffffb4; +static const uint64_t fourP1234 = 0x1ffffffffffffc; + +/* out = a - b */ +DONNA_INLINE static void +curve25519_sub(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + twoP0 - b[0]; + out[1] = a[1] + twoP1234 - b[1]; + out[2] = a[2] + twoP1234 - b[2]; + out[3] = a[3] + twoP1234 - b[3]; + out[4] = a[4] + twoP1234 - b[4]; +} + +/* out = a - b, where a and/or b are the result of a basic op (add,sub) */ +DONNA_INLINE static void +curve25519_sub_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + fourP0 - b[0]; + out[1] = a[1] + fourP1234 - b[1]; + out[2] = a[2] + fourP1234 - b[2]; + out[3] = a[3] + fourP1234 - b[3]; + out[4] = a[4] + fourP1234 - b[4]; +} + +DONNA_INLINE static void +curve25519_sub_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { + uint64_t c; + out[0] = a[0] + fourP0 - b[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51; + out[1] = a[1] + fourP1234 - b[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51; + out[2] = a[2] + fourP1234 - b[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51; + out[3] = a[3] + fourP1234 - b[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51; + out[4] = a[4] + fourP1234 - b[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51; + out[0] += c * 19; +} + +/* out = -a */ +DONNA_INLINE static void +curve25519_neg(bignum25519 out, const bignum25519 a) { + uint64_t c; + out[0] = twoP0 - a[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51; + out[1] = twoP1234 - a[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51; + out[2] = twoP1234 - a[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51; + out[3] = twoP1234 - a[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51; + out[4] = twoP1234 - a[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51; + out[0] += c * 19; +} + +/* out = a * b */ +DONNA_INLINE static void +curve25519_mul(bignum25519 out, const bignum25519 in2, const bignum25519 in) { +#if !defined(HAVE_NATIVE_UINT128) + uint128_t mul; +#endif + uint128_t t[5]; + uint64_t r0,r1,r2,r3,r4,s0,s1,s2,s3,s4,c; + + r0 = in[0]; + r1 = in[1]; + r2 = in[2]; + r3 = in[3]; + r4 = in[4]; + + s0 = in2[0]; + s1 = in2[1]; + s2 = in2[2]; + s3 = in2[3]; + s4 = in2[4]; + +#if defined(HAVE_NATIVE_UINT128) + t[0] = ((uint128_t) r0) * s0; + t[1] = ((uint128_t) r0) * s1 + ((uint128_t) r1) * s0; + t[2] = ((uint128_t) r0) * s2 + ((uint128_t) r2) * s0 + ((uint128_t) r1) * s1; + t[3] = ((uint128_t) r0) * s3 + ((uint128_t) r3) * s0 + ((uint128_t) r1) * s2 + ((uint128_t) r2) * s1; + t[4] = ((uint128_t) r0) * s4 + ((uint128_t) r4) * s0 + ((uint128_t) r3) * s1 + ((uint128_t) r1) * s3 + ((uint128_t) r2) * s2; +#else + mul64x64_128(t[0], r0, s0) + mul64x64_128(t[1], r0, s1) mul64x64_128(mul, r1, s0) add128(t[1], mul) + mul64x64_128(t[2], r0, s2) mul64x64_128(mul, r2, s0) add128(t[2], mul) mul64x64_128(mul, r1, s1) add128(t[2], mul) + mul64x64_128(t[3], r0, s3) mul64x64_128(mul, r3, s0) add128(t[3], mul) mul64x64_128(mul, r1, s2) add128(t[3], mul) mul64x64_128(mul, r2, s1) add128(t[3], mul) + mul64x64_128(t[4], r0, s4) mul64x64_128(mul, r4, s0) add128(t[4], mul) mul64x64_128(mul, r3, s1) add128(t[4], mul) mul64x64_128(mul, r1, s3) add128(t[4], mul) mul64x64_128(mul, r2, s2) add128(t[4], mul) +#endif + + r1 *= 19; + r2 *= 19; + r3 *= 19; + r4 *= 19; + +#if defined(HAVE_NATIVE_UINT128) + t[0] += ((uint128_t) r4) * s1 + ((uint128_t) r1) * s4 + ((uint128_t) r2) * s3 + ((uint128_t) r3) * s2; + t[1] += ((uint128_t) r4) * s2 + ((uint128_t) r2) * s4 + ((uint128_t) r3) * s3; + t[2] += ((uint128_t) r4) * s3 + ((uint128_t) r3) * s4; + t[3] += ((uint128_t) r4) * s4; +#else + mul64x64_128(mul, r4, s1) add128(t[0], mul) mul64x64_128(mul, r1, s4) add128(t[0], mul) mul64x64_128(mul, r2, s3) add128(t[0], mul) mul64x64_128(mul, r3, s2) add128(t[0], mul) + mul64x64_128(mul, r4, s2) add128(t[1], mul) mul64x64_128(mul, r2, s4) add128(t[1], mul) mul64x64_128(mul, r3, s3) add128(t[1], mul) + mul64x64_128(mul, r4, s3) add128(t[2], mul) mul64x64_128(mul, r3, s4) add128(t[2], mul) + mul64x64_128(mul, r4, s4) add128(t[3], mul) +#endif + + + r0 = lo128(t[0]) & reduce_mask_51; shr128(c, t[0], 51); + add128_64(t[1], c) r1 = lo128(t[1]) & reduce_mask_51; shr128(c, t[1], 51); + add128_64(t[2], c) r2 = lo128(t[2]) & reduce_mask_51; shr128(c, t[2], 51); + add128_64(t[3], c) r3 = lo128(t[3]) & reduce_mask_51; shr128(c, t[3], 51); + add128_64(t[4], c) r4 = lo128(t[4]) & reduce_mask_51; shr128(c, t[4], 51); + r0 += c * 19; c = r0 >> 51; r0 = r0 & reduce_mask_51; + r1 += c; + + out[0] = r0; + out[1] = r1; + out[2] = r2; + out[3] = r3; + out[4] = r4; +} + +DONNA_NOINLINE static void +curve25519_mul_noinline(bignum25519 out, const bignum25519 in2, const bignum25519 in) { + curve25519_mul(out, in2, in); +} + +/* out = in^(2 * count) */ +DONNA_NOINLINE static void +curve25519_square_times(bignum25519 out, const bignum25519 in, uint64_t count) { +#if !defined(HAVE_NATIVE_UINT128) + uint128_t mul; +#endif + uint128_t t[5]; + uint64_t r0,r1,r2,r3,r4,c; + uint64_t d0,d1,d2,d4,d419; + + r0 = in[0]; + r1 = in[1]; + r2 = in[2]; + r3 = in[3]; + r4 = in[4]; + + do { + d0 = r0 * 2; + d1 = r1 * 2; + d2 = r2 * 2 * 19; + d419 = r4 * 19; + d4 = d419 * 2; + +#if defined(HAVE_NATIVE_UINT128) + t[0] = ((uint128_t) r0) * r0 + ((uint128_t) d4) * r1 + (((uint128_t) d2) * (r3 )); + t[1] = ((uint128_t) d0) * r1 + ((uint128_t) d4) * r2 + (((uint128_t) r3) * (r3 * 19)); + t[2] = ((uint128_t) d0) * r2 + ((uint128_t) r1) * r1 + (((uint128_t) d4) * (r3 )); + t[3] = ((uint128_t) d0) * r3 + ((uint128_t) d1) * r2 + (((uint128_t) r4) * (d419 )); + t[4] = ((uint128_t) d0) * r4 + ((uint128_t) d1) * r3 + (((uint128_t) r2) * (r2 )); +#else + mul64x64_128(t[0], r0, r0) mul64x64_128(mul, d4, r1) add128(t[0], mul) mul64x64_128(mul, d2, r3) add128(t[0], mul) + mul64x64_128(t[1], d0, r1) mul64x64_128(mul, d4, r2) add128(t[1], mul) mul64x64_128(mul, r3, r3 * 19) add128(t[1], mul) + mul64x64_128(t[2], d0, r2) mul64x64_128(mul, r1, r1) add128(t[2], mul) mul64x64_128(mul, d4, r3) add128(t[2], mul) + mul64x64_128(t[3], d0, r3) mul64x64_128(mul, d1, r2) add128(t[3], mul) mul64x64_128(mul, r4, d419) add128(t[3], mul) + mul64x64_128(t[4], d0, r4) mul64x64_128(mul, d1, r3) add128(t[4], mul) mul64x64_128(mul, r2, r2) add128(t[4], mul) +#endif + + r0 = lo128(t[0]) & reduce_mask_51; + r1 = lo128(t[1]) & reduce_mask_51; shl128(c, t[0], 13); r1 += c; + r2 = lo128(t[2]) & reduce_mask_51; shl128(c, t[1], 13); r2 += c; + r3 = lo128(t[3]) & reduce_mask_51; shl128(c, t[2], 13); r3 += c; + r4 = lo128(t[4]) & reduce_mask_51; shl128(c, t[3], 13); r4 += c; + shl128(c, t[4], 13); r0 += c * 19; + c = r0 >> 51; r0 &= reduce_mask_51; + r1 += c ; c = r1 >> 51; r1 &= reduce_mask_51; + r2 += c ; c = r2 >> 51; r2 &= reduce_mask_51; + r3 += c ; c = r3 >> 51; r3 &= reduce_mask_51; + r4 += c ; c = r4 >> 51; r4 &= reduce_mask_51; + r0 += c * 19; + } while(--count); + + out[0] = r0; + out[1] = r1; + out[2] = r2; + out[3] = r3; + out[4] = r4; +} + +DONNA_INLINE static void +curve25519_square(bignum25519 out, const bignum25519 in) { +#if !defined(HAVE_NATIVE_UINT128) + uint128_t mul; +#endif + uint128_t t[5]; + uint64_t r0,r1,r2,r3,r4,c; + uint64_t d0,d1,d2,d4,d419; + + r0 = in[0]; + r1 = in[1]; + r2 = in[2]; + r3 = in[3]; + r4 = in[4]; + + d0 = r0 * 2; + d1 = r1 * 2; + d2 = r2 * 2 * 19; + d419 = r4 * 19; + d4 = d419 * 2; + +#if defined(HAVE_NATIVE_UINT128) + t[0] = ((uint128_t) r0) * r0 + ((uint128_t) d4) * r1 + (((uint128_t) d2) * (r3 )); + t[1] = ((uint128_t) d0) * r1 + ((uint128_t) d4) * r2 + (((uint128_t) r3) * (r3 * 19)); + t[2] = ((uint128_t) d0) * r2 + ((uint128_t) r1) * r1 + (((uint128_t) d4) * (r3 )); + t[3] = ((uint128_t) d0) * r3 + ((uint128_t) d1) * r2 + (((uint128_t) r4) * (d419 )); + t[4] = ((uint128_t) d0) * r4 + ((uint128_t) d1) * r3 + (((uint128_t) r2) * (r2 )); +#else + mul64x64_128(t[0], r0, r0) mul64x64_128(mul, d4, r1) add128(t[0], mul) mul64x64_128(mul, d2, r3) add128(t[0], mul) + mul64x64_128(t[1], d0, r1) mul64x64_128(mul, d4, r2) add128(t[1], mul) mul64x64_128(mul, r3, r3 * 19) add128(t[1], mul) + mul64x64_128(t[2], d0, r2) mul64x64_128(mul, r1, r1) add128(t[2], mul) mul64x64_128(mul, d4, r3) add128(t[2], mul) + mul64x64_128(t[3], d0, r3) mul64x64_128(mul, d1, r2) add128(t[3], mul) mul64x64_128(mul, r4, d419) add128(t[3], mul) + mul64x64_128(t[4], d0, r4) mul64x64_128(mul, d1, r3) add128(t[4], mul) mul64x64_128(mul, r2, r2) add128(t[4], mul) +#endif + + r0 = lo128(t[0]) & reduce_mask_51; shr128(c, t[0], 51); + add128_64(t[1], c) r1 = lo128(t[1]) & reduce_mask_51; shr128(c, t[1], 51); + add128_64(t[2], c) r2 = lo128(t[2]) & reduce_mask_51; shr128(c, t[2], 51); + add128_64(t[3], c) r3 = lo128(t[3]) & reduce_mask_51; shr128(c, t[3], 51); + add128_64(t[4], c) r4 = lo128(t[4]) & reduce_mask_51; shr128(c, t[4], 51); + r0 += c * 19; c = r0 >> 51; r0 = r0 & reduce_mask_51; + r1 += c; + + out[0] = r0; + out[1] = r1; + out[2] = r2; + out[3] = r3; + out[4] = r4; +} + +/* Take a little-endian, 32-byte number and expand it into polynomial form */ +DONNA_INLINE static void +curve25519_expand(bignum25519 out, const unsigned char *in) { + static const union { uint8_t b[2]; uint16_t s; } endian_check = {{1,0}}; + uint64_t x0,x1,x2,x3; + + if (endian_check.s == 1) { + x0 = *(uint64_t *)(in + 0); + x1 = *(uint64_t *)(in + 8); + x2 = *(uint64_t *)(in + 16); + x3 = *(uint64_t *)(in + 24); + } else { + #define F(s) \ + ((((uint64_t)in[s + 0]) ) | \ + (((uint64_t)in[s + 1]) << 8) | \ + (((uint64_t)in[s + 2]) << 16) | \ + (((uint64_t)in[s + 3]) << 24) | \ + (((uint64_t)in[s + 4]) << 32) | \ + (((uint64_t)in[s + 5]) << 40) | \ + (((uint64_t)in[s + 6]) << 48) | \ + (((uint64_t)in[s + 7]) << 56)) + + x0 = F(0); + x1 = F(8); + x2 = F(16); + x3 = F(24); + } + + out[0] = x0 & reduce_mask_51; x0 = (x0 >> 51) | (x1 << 13); + out[1] = x0 & reduce_mask_51; x1 = (x1 >> 38) | (x2 << 26); + out[2] = x1 & reduce_mask_51; x2 = (x2 >> 25) | (x3 << 39); + out[3] = x2 & reduce_mask_51; x3 = (x3 >> 12); + out[4] = x3 & reduce_mask_51; +} + +/* Take a fully reduced polynomial form number and contract it into a + * little-endian, 32-byte array + */ +DONNA_INLINE static void +curve25519_contract(unsigned char *out, const bignum25519 input) { + uint64_t t[5]; + uint64_t f, i; + + t[0] = input[0]; + t[1] = input[1]; + t[2] = input[2]; + t[3] = input[3]; + t[4] = input[4]; + + #define curve25519_contract_carry() \ + t[1] += t[0] >> 51; t[0] &= reduce_mask_51; \ + t[2] += t[1] >> 51; t[1] &= reduce_mask_51; \ + t[3] += t[2] >> 51; t[2] &= reduce_mask_51; \ + t[4] += t[3] >> 51; t[3] &= reduce_mask_51; + + #define curve25519_contract_carry_full() curve25519_contract_carry() \ + t[0] += 19 * (t[4] >> 51); t[4] &= reduce_mask_51; + + #define curve25519_contract_carry_final() curve25519_contract_carry() \ + t[4] &= reduce_mask_51; + + curve25519_contract_carry_full() + curve25519_contract_carry_full() + + /* now t is between 0 and 2^255-1, properly carried. */ + /* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */ + t[0] += 19; + curve25519_contract_carry_full() + + /* now between 19 and 2^255-1 in both cases, and offset by 19. */ + t[0] += (reduce_mask_51 + 1) - 19; + t[1] += (reduce_mask_51 + 1) - 1; + t[2] += (reduce_mask_51 + 1) - 1; + t[3] += (reduce_mask_51 + 1) - 1; + t[4] += (reduce_mask_51 + 1) - 1; + + /* now between 2^255 and 2^256-20, and offset by 2^255. */ + curve25519_contract_carry_final() + + #define write51full(n,shift) \ + f = ((t[n] >> shift) | (t[n+1] << (51 - shift))); \ + for (i = 0; i < 8; i++, f >>= 8) *out++ = (unsigned char)f; + #define write51(n) write51full(n,13*n) + write51(0) + write51(1) + write51(2) + write51(3) +} + +#if !defined(ED25519_GCC_64BIT_CHOOSE) + +/* out = (flag) ? in : out */ +DONNA_INLINE static void +curve25519_move_conditional_bytes(uint8_t out[96], const uint8_t in[96], uint64_t flag) { + const uint64_t nb = flag - 1, b = ~nb; + const uint64_t *inq = (const uint64_t *)in; + uint64_t *outq = (uint64_t *)out; + outq[0] = (outq[0] & nb) | (inq[0] & b); + outq[1] = (outq[1] & nb) | (inq[1] & b); + outq[2] = (outq[2] & nb) | (inq[2] & b); + outq[3] = (outq[3] & nb) | (inq[3] & b); + outq[4] = (outq[4] & nb) | (inq[4] & b); + outq[5] = (outq[5] & nb) | (inq[5] & b); + outq[6] = (outq[6] & nb) | (inq[6] & b); + outq[7] = (outq[7] & nb) | (inq[7] & b); + outq[8] = (outq[8] & nb) | (inq[8] & b); + outq[9] = (outq[9] & nb) | (inq[9] & b); + outq[10] = (outq[10] & nb) | (inq[10] & b); + outq[11] = (outq[11] & nb) | (inq[11] & b); +} + +/* if (iswap) swap(a, b) */ +DONNA_INLINE static void +curve25519_swap_conditional(bignum25519 a, bignum25519 b, uint64_t iswap) { + const uint64_t swap = (uint64_t)(-(int64_t)iswap); + uint64_t x0,x1,x2,x3,x4; + + x0 = swap & (a[0] ^ b[0]); a[0] ^= x0; b[0] ^= x0; + x1 = swap & (a[1] ^ b[1]); a[1] ^= x1; b[1] ^= x1; + x2 = swap & (a[2] ^ b[2]); a[2] ^= x2; b[2] ^= x2; + x3 = swap & (a[3] ^ b[3]); a[3] ^= x3; b[3] ^= x3; + x4 = swap & (a[4] ^ b[4]); a[4] ^= x4; b[4] ^= x4; +} + +#endif /* ED25519_GCC_64BIT_CHOOSE */ + +#define ED25519_64BIT_TABLES + diff --git a/src/ext/ed25519/donna/curve25519-donna-helpers.h b/src/ext/ed25519/donna/curve25519-donna-helpers.h new file mode 100644 index 0000000..e4058ff --- /dev/null +++ b/src/ext/ed25519/donna/curve25519-donna-helpers.h @@ -0,0 +1,67 @@ +/* + Public domain by Andrew M. <liquidsun(a)gmail.com> + See: https://github.com/floodyberry/curve25519-donna + + Curve25519 implementation agnostic helpers +*/ + +/* + * In: b = 2^5 - 2^0 + * Out: b = 2^250 - 2^0 + */ +static void +curve25519_pow_two5mtwo0_two250mtwo0(bignum25519 b) { + bignum25519 ALIGN(16) t0,c; + + /* 2^5 - 2^0 */ /* b */ + /* 2^10 - 2^5 */ curve25519_square_times(t0, b, 5); + /* 2^10 - 2^0 */ curve25519_mul_noinline(b, t0, b); + /* 2^20 - 2^10 */ curve25519_square_times(t0, b, 10); + /* 2^20 - 2^0 */ curve25519_mul_noinline(c, t0, b); + /* 2^40 - 2^20 */ curve25519_square_times(t0, c, 20); + /* 2^40 - 2^0 */ curve25519_mul_noinline(t0, t0, c); + /* 2^50 - 2^10 */ curve25519_square_times(t0, t0, 10); + /* 2^50 - 2^0 */ curve25519_mul_noinline(b, t0, b); + /* 2^100 - 2^50 */ curve25519_square_times(t0, b, 50); + /* 2^100 - 2^0 */ curve25519_mul_noinline(c, t0, b); + /* 2^200 - 2^100 */ curve25519_square_times(t0, c, 100); + /* 2^200 - 2^0 */ curve25519_mul_noinline(t0, t0, c); + /* 2^250 - 2^50 */ curve25519_square_times(t0, t0, 50); + /* 2^250 - 2^0 */ curve25519_mul_noinline(b, t0, b); +} + +/* + * z^(p - 2) = z(2^255 - 21) + */ +static void +curve25519_recip(bignum25519 out, const bignum25519 z) { + bignum25519 ALIGN(16) a,t0,b; + + /* 2 */ curve25519_square_times(a, z, 1); /* a = 2 */ + /* 8 */ curve25519_square_times(t0, a, 2); + /* 9 */ curve25519_mul_noinline(b, t0, z); /* b = 9 */ + /* 11 */ curve25519_mul_noinline(a, b, a); /* a = 11 */ + /* 22 */ curve25519_square_times(t0, a, 1); + /* 2^5 - 2^0 = 31 */ curve25519_mul_noinline(b, t0, b); + /* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b); + /* 2^255 - 2^5 */ curve25519_square_times(b, b, 5); + /* 2^255 - 21 */ curve25519_mul_noinline(out, b, a); +} + +/* + * z^((p-5)/8) = z^(2^252 - 3) + */ +static void +curve25519_pow_two252m3(bignum25519 two252m3, const bignum25519 z) { + bignum25519 ALIGN(16) b,c,t0; + + /* 2 */ curve25519_square_times(c, z, 1); /* c = 2 */ + /* 8 */ curve25519_square_times(t0, c, 2); /* t0 = 8 */ + /* 9 */ curve25519_mul_noinline(b, t0, z); /* b = 9 */ + /* 11 */ curve25519_mul_noinline(c, b, c); /* c = 11 */ + /* 22 */ curve25519_square_times(t0, c, 1); + /* 2^5 - 2^0 = 31 */ curve25519_mul_noinline(b, t0, b); + /* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b); + /* 2^252 - 2^2 */ curve25519_square_times(b, b, 2); + /* 2^252 - 3 */ curve25519_mul_noinline(two252m3, b, z); +} diff --git a/src/ext/ed25519/donna/curve25519-donna-sse2.h b/src/ext/ed25519/donna/curve25519-donna-sse2.h new file mode 100644 index 0000000..1dbfd44 --- /dev/null +++ b/src/ext/ed25519/donna/curve25519-donna-sse2.h @@ -0,0 +1,1112 @@ +/* + Public domain by Andrew M. <liquidsun(a)gmail.com> + See: https://github.com/floodyberry/curve25519-donna + + SSE2 curve25519 implementation +*/ + +#include <emmintrin.h> +typedef __m128i xmmi; + +typedef union packedelem8_t { + unsigned char u[16]; + xmmi v; +} packedelem8; + +typedef union packedelem32_t { + uint32_t u[4]; + xmmi v; +} packedelem32; + +typedef union packedelem64_t { + uint64_t u[2]; + xmmi v; +} packedelem64; + +/* 10 elements + an extra 2 to fit in 3 xmm registers */ +typedef uint32_t bignum25519[12]; +typedef packedelem32 packed32bignum25519[5]; +typedef packedelem64 packed64bignum25519[10]; + +static const packedelem32 bot32bitmask = {{0xffffffff, 0x00000000, 0xffffffff, 0x00000000}}; +static const packedelem32 top32bitmask = {{0x00000000, 0xffffffff, 0x00000000, 0xffffffff}}; +static const packedelem32 top64bitmask = {{0x00000000, 0x00000000, 0xffffffff, 0xffffffff}}; +static const packedelem32 bot64bitmask = {{0xffffffff, 0xffffffff, 0x00000000, 0x00000000}}; + +/* reduction masks */ +static const packedelem64 packedmask26 = {{0x03ffffff, 0x03ffffff}}; +static const packedelem64 packedmask25 = {{0x01ffffff, 0x01ffffff}}; +static const packedelem32 packedmask2625 = {{0x3ffffff,0,0x1ffffff,0}}; +static const packedelem32 packedmask26262626 = {{0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff}}; +static const packedelem32 packedmask25252525 = {{0x01ffffff, 0x01ffffff, 0x01ffffff, 0x01ffffff}}; + +/* multipliers */ +static const packedelem64 packednineteen = {{19, 19}}; +static const packedelem64 packednineteenone = {{19, 1}}; +static const packedelem64 packedthirtyeight = {{38, 38}}; +static const packedelem64 packed3819 = {{19*2,19}}; +static const packedelem64 packed9638 = {{19*4,19*2}}; + +/* 121666,121665 */ +static const packedelem64 packed121666121665 = {{121666, 121665}}; + +/* 2*(2^255 - 19) = 0 mod p */ +static const packedelem32 packed2p0 = {{0x7ffffda,0x3fffffe,0x7fffffe,0x3fffffe}}; +static const packedelem32 packed2p1 = {{0x7fffffe,0x3fffffe,0x7fffffe,0x3fffffe}}; +static const packedelem32 packed2p2 = {{0x7fffffe,0x3fffffe,0x0000000,0x0000000}}; + +static const packedelem32 packed32packed2p0 = {{0x7ffffda,0x7ffffda,0x3fffffe,0x3fffffe}}; +static const packedelem32 packed32packed2p1 = {{0x7fffffe,0x7fffffe,0x3fffffe,0x3fffffe}}; + +/* 4*(2^255 - 19) = 0 mod p */ +static const packedelem32 packed4p0 = {{0xfffffb4,0x7fffffc,0xffffffc,0x7fffffc}}; +static const packedelem32 packed4p1 = {{0xffffffc,0x7fffffc,0xffffffc,0x7fffffc}}; +static const packedelem32 packed4p2 = {{0xffffffc,0x7fffffc,0x0000000,0x0000000}}; + +static const packedelem32 packed32packed4p0 = {{0xfffffb4,0xfffffb4,0x7fffffc,0x7fffffc}}; +static const packedelem32 packed32packed4p1 = {{0xffffffc,0xffffffc,0x7fffffc,0x7fffffc}}; + +/* out = in */ +DONNA_INLINE static void +curve25519_copy(bignum25519 out, const bignum25519 in) { + xmmi x0,x1,x2; + x0 = _mm_load_si128((xmmi*)in + 0); + x1 = _mm_load_si128((xmmi*)in + 1); + x2 = _mm_load_si128((xmmi*)in + 2); + _mm_store_si128((xmmi*)out + 0, x0); + _mm_store_si128((xmmi*)out + 1, x1); + _mm_store_si128((xmmi*)out + 2, x2); +} + +/* out = a + b */ +DONNA_INLINE static void +curve25519_add(bignum25519 out, const bignum25519 a, const bignum25519 b) { + xmmi a0,a1,a2,b0,b1,b2; + a0 = _mm_load_si128((xmmi*)a + 0); + a1 = _mm_load_si128((xmmi*)a + 1); + a2 = _mm_load_si128((xmmi*)a + 2); + b0 = _mm_load_si128((xmmi*)b + 0); + b1 = _mm_load_si128((xmmi*)b + 1); + b2 = _mm_load_si128((xmmi*)b + 2); + a0 = _mm_add_epi32(a0, b0); + a1 = _mm_add_epi32(a1, b1); + a2 = _mm_add_epi32(a2, b2); + _mm_store_si128((xmmi*)out + 0, a0); + _mm_store_si128((xmmi*)out + 1, a1); + _mm_store_si128((xmmi*)out + 2, a2); +} + +#define curve25519_add_after_basic curve25519_add_reduce +DONNA_INLINE static void +curve25519_add_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { + xmmi a0,a1,a2,b0,b1,b2; + xmmi c1,c2,c3; + xmmi r0,r1,r2,r3,r4,r5; + + a0 = _mm_load_si128((xmmi*)a + 0); + a1 = _mm_load_si128((xmmi*)a + 1); + a2 = _mm_load_si128((xmmi*)a + 2); + b0 = _mm_load_si128((xmmi*)b + 0); + b1 = _mm_load_si128((xmmi*)b + 1); + b2 = _mm_load_si128((xmmi*)b + 2); + a0 = _mm_add_epi32(a0, b0); + a1 = _mm_add_epi32(a1, b1); + a2 = _mm_add_epi32(a2, b2); + + r0 = _mm_and_si128(_mm_unpacklo_epi64(a0, a1), bot32bitmask.v); + r1 = _mm_srli_epi64(_mm_unpacklo_epi64(a0, a1), 32); + r2 = _mm_and_si128(_mm_unpackhi_epi64(a0, a1), bot32bitmask.v); + r3 = _mm_srli_epi64(_mm_unpackhi_epi64(a0, a1), 32); + r4 = _mm_and_si128(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), bot32bitmask.v); + r5 = _mm_srli_epi64(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), 32); + + c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); + c1 = _mm_srli_epi64(r1, 25); c2 = _mm_srli_epi64(r3, 25); r1 = _mm_and_si128(r1, packedmask25.v); r3 = _mm_and_si128(r3, packedmask25.v); r2 = _mm_add_epi64(r2, c1); r4 = _mm_add_epi64(r4, c2); c3 = _mm_slli_si128(c2, 8); + c1 = _mm_srli_epi64(r4, 26); r4 = _mm_and_si128(r4, packedmask26.v); r5 = _mm_add_epi64(r5, c1); + c1 = _mm_srli_epi64(r5, 25); r5 = _mm_and_si128(r5, packedmask25.v); r0 = _mm_add_epi64(r0, _mm_unpackhi_epi64(_mm_mul_epu32(c1, packednineteen.v), c3)); + c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); + + _mm_store_si128((xmmi*)out + 0, _mm_unpacklo_epi64(_mm_unpacklo_epi32(r0, r1), _mm_unpacklo_epi32(r2, r3))); + _mm_store_si128((xmmi*)out + 1, _mm_unpacklo_epi64(_mm_unpackhi_epi32(r0, r1), _mm_unpackhi_epi32(r2, r3))); + _mm_store_si128((xmmi*)out + 2, _mm_unpackhi_epi32(r4, r5)); +} + +DONNA_INLINE static void +curve25519_sub(bignum25519 out, const bignum25519 a, const bignum25519 b) { + xmmi a0,a1,a2,b0,b1,b2; + xmmi c1,c2; + xmmi r0,r1; + + a0 = _mm_load_si128((xmmi*)a + 0); + a1 = _mm_load_si128((xmmi*)a + 1); + a2 = _mm_load_si128((xmmi*)a + 2); + a0 = _mm_add_epi32(a0, packed2p0.v); + a1 = _mm_add_epi32(a1, packed2p1.v); + a2 = _mm_add_epi32(a2, packed2p2.v); + b0 = _mm_load_si128((xmmi*)b + 0); + b1 = _mm_load_si128((xmmi*)b + 1); + b2 = _mm_load_si128((xmmi*)b + 2); + a0 = _mm_sub_epi32(a0, b0); + a1 = _mm_sub_epi32(a1, b1); + a2 = _mm_sub_epi32(a2, b2); + + r0 = _mm_and_si128(_mm_shuffle_epi32(a0, _MM_SHUFFLE(2,2,0,0)), bot32bitmask.v); + r1 = _mm_and_si128(_mm_shuffle_epi32(a0, _MM_SHUFFLE(3,3,1,1)), bot32bitmask.v); + + c1 = _mm_srli_epi32(r0, 26); + c2 = _mm_srli_epi32(r1, 25); + r0 = _mm_and_si128(r0, packedmask26.v); + r1 = _mm_and_si128(r1, packedmask25.v); + r0 = _mm_add_epi32(r0, _mm_slli_si128(c2, 8)); + r1 = _mm_add_epi32(r1, c1); + + a0 = _mm_unpacklo_epi64(_mm_unpacklo_epi32(r0, r1), _mm_unpackhi_epi32(r0, r1)); + a1 = _mm_add_epi32(a1, _mm_srli_si128(c2, 8)); + + _mm_store_si128((xmmi*)out + 0, a0); + _mm_store_si128((xmmi*)out + 1, a1); + _mm_store_si128((xmmi*)out + 2, a2); +} + +DONNA_INLINE static void +curve25519_sub_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) { + xmmi a0,a1,a2,b0,b1,b2; + xmmi c1,c2,c3; + xmmi r0,r1,r2,r3,r4,r5; + + a0 = _mm_load_si128((xmmi*)a + 0); + a1 = _mm_load_si128((xmmi*)a + 1); + a2 = _mm_load_si128((xmmi*)a + 2); + a0 = _mm_add_epi32(a0, packed4p0.v); + a1 = _mm_add_epi32(a1, packed4p1.v); + a2 = _mm_add_epi32(a2, packed4p2.v); + b0 = _mm_load_si128((xmmi*)b + 0); + b1 = _mm_load_si128((xmmi*)b + 1); + b2 = _mm_load_si128((xmmi*)b + 2); + a0 = _mm_sub_epi32(a0, b0); + a1 = _mm_sub_epi32(a1, b1); + a2 = _mm_sub_epi32(a2, b2); + + r0 = _mm_and_si128(_mm_unpacklo_epi64(a0, a1), bot32bitmask.v); + r1 = _mm_srli_epi64(_mm_unpacklo_epi64(a0, a1), 32); + r2 = _mm_and_si128(_mm_unpackhi_epi64(a0, a1), bot32bitmask.v); + r3 = _mm_srli_epi64(_mm_unpackhi_epi64(a0, a1), 32); + r4 = _mm_and_si128(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), bot32bitmask.v); + r5 = _mm_srli_epi64(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), 32); + + c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); + c1 = _mm_srli_epi64(r1, 25); c2 = _mm_srli_epi64(r3, 25); r1 = _mm_and_si128(r1, packedmask25.v); r3 = _mm_and_si128(r3, packedmask25.v); r2 = _mm_add_epi64(r2, c1); r4 = _mm_add_epi64(r4, c2); c3 = _mm_slli_si128(c2, 8); + c1 = _mm_srli_epi64(r4, 26); r4 = _mm_and_si128(r4, packedmask26.v); r5 = _mm_add_epi64(r5, c1); + c1 = _mm_srli_epi64(r5, 25); r5 = _mm_and_si128(r5, packedmask25.v); r0 = _mm_add_epi64(r0, _mm_unpackhi_epi64(_mm_mul_epu32(c1, packednineteen.v), c3)); + c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); + + _mm_store_si128((xmmi*)out + 0, _mm_unpacklo_epi64(_mm_unpacklo_epi32(r0, r1), _mm_unpacklo_epi32(r2, r3))); + _mm_store_si128((xmmi*)out + 1, _mm_unpacklo_epi64(_mm_unpackhi_epi32(r0, r1), _mm_unpackhi_epi32(r2, r3))); + _mm_store_si128((xmmi*)out + 2, _mm_unpackhi_epi32(r4, r5)); +} + +DONNA_INLINE static void +curve25519_sub_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { + xmmi a0,a1,a2,b0,b1,b2; + xmmi c1,c2,c3; + xmmi r0,r1,r2,r3,r4,r5; + + a0 = _mm_load_si128((xmmi*)a + 0); + a1 = _mm_load_si128((xmmi*)a + 1); + a2 = _mm_load_si128((xmmi*)a + 2); + a0 = _mm_add_epi32(a0, packed2p0.v); + a1 = _mm_add_epi32(a1, packed2p1.v); + a2 = _mm_add_epi32(a2, packed2p2.v); + b0 = _mm_load_si128((xmmi*)b + 0); + b1 = _mm_load_si128((xmmi*)b + 1); + b2 = _mm_load_si128((xmmi*)b + 2); + a0 = _mm_sub_epi32(a0, b0); + a1 = _mm_sub_epi32(a1, b1); + a2 = _mm_sub_epi32(a2, b2); + + r0 = _mm_and_si128(_mm_unpacklo_epi64(a0, a1), bot32bitmask.v); + r1 = _mm_srli_epi64(_mm_unpacklo_epi64(a0, a1), 32); + r2 = _mm_and_si128(_mm_unpackhi_epi64(a0, a1), bot32bitmask.v); + r3 = _mm_srli_epi64(_mm_unpackhi_epi64(a0, a1), 32); + r4 = _mm_and_si128(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), bot32bitmask.v); + r5 = _mm_srli_epi64(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), 32); + + c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); + c1 = _mm_srli_epi64(r1, 25); c2 = _mm_srli_epi64(r3, 25); r1 = _mm_and_si128(r1, packedmask25.v); r3 = _mm_and_si128(r3, packedmask25.v); r2 = _mm_add_epi64(r2, c1); r4 = _mm_add_epi64(r4, c2); c3 = _mm_slli_si128(c2, 8); + c1 = _mm_srli_epi64(r4, 26); r4 = _mm_and_si128(r4, packedmask26.v); r5 = _mm_add_epi64(r5, c1); + c1 = _mm_srli_epi64(r5, 25); r5 = _mm_and_si128(r5, packedmask25.v); r0 = _mm_add_epi64(r0, _mm_unpackhi_epi64(_mm_mul_epu32(c1, packednineteen.v), c3)); + c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); + + _mm_store_si128((xmmi*)out + 0, _mm_unpacklo_epi64(_mm_unpacklo_epi32(r0, r1), _mm_unpacklo_epi32(r2, r3))); + _mm_store_si128((xmmi*)out + 1, _mm_unpacklo_epi64(_mm_unpackhi_epi32(r0, r1), _mm_unpackhi_epi32(r2, r3))); + _mm_store_si128((xmmi*)out + 2, _mm_unpackhi_epi32(r4, r5)); +} + + +DONNA_INLINE static void +curve25519_neg(bignum25519 out, const bignum25519 b) { + xmmi a0,a1,a2,b0,b1,b2; + xmmi c1,c2,c3; + xmmi r0,r1,r2,r3,r4,r5; + + a0 = packed2p0.v; + a1 = packed2p1.v; + a2 = packed2p2.v; + b0 = _mm_load_si128((xmmi*)b + 0); + b1 = _mm_load_si128((xmmi*)b + 1); + b2 = _mm_load_si128((xmmi*)b + 2); + a0 = _mm_sub_epi32(a0, b0); + a1 = _mm_sub_epi32(a1, b1); + a2 = _mm_sub_epi32(a2, b2); + + r0 = _mm_and_si128(_mm_unpacklo_epi64(a0, a1), bot32bitmask.v); + r1 = _mm_srli_epi64(_mm_unpacklo_epi64(a0, a1), 32); + r2 = _mm_and_si128(_mm_unpackhi_epi64(a0, a1), bot32bitmask.v); + r3 = _mm_srli_epi64(_mm_unpackhi_epi64(a0, a1), 32); + r4 = _mm_and_si128(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), bot32bitmask.v); + r5 = _mm_srli_epi64(_mm_unpacklo_epi64(_mm_setzero_si128(), a2), 32); + + c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); + c1 = _mm_srli_epi64(r1, 25); c2 = _mm_srli_epi64(r3, 25); r1 = _mm_and_si128(r1, packedmask25.v); r3 = _mm_and_si128(r3, packedmask25.v); r2 = _mm_add_epi64(r2, c1); r4 = _mm_add_epi64(r4, c2); c3 = _mm_slli_si128(c2, 8); + c1 = _mm_srli_epi64(r4, 26); r4 = _mm_and_si128(r4, packedmask26.v); r5 = _mm_add_epi64(r5, c1); + c1 = _mm_srli_epi64(r5, 25); r5 = _mm_and_si128(r5, packedmask25.v); r0 = _mm_add_epi64(r0, _mm_unpackhi_epi64(_mm_mul_epu32(c1, packednineteen.v), c3)); + c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); + + _mm_store_si128((xmmi*)out + 0, _mm_unpacklo_epi64(_mm_unpacklo_epi32(r0, r1), _mm_unpacklo_epi32(r2, r3))); + _mm_store_si128((xmmi*)out + 1, _mm_unpacklo_epi64(_mm_unpackhi_epi32(r0, r1), _mm_unpackhi_epi32(r2, r3))); + _mm_store_si128((xmmi*)out + 2, _mm_unpackhi_epi32(r4, r5)); +} + + +/* Multiply two numbers: out = in2 * in */ +static void +curve25519_mul(bignum25519 out, const bignum25519 r, const bignum25519 s) { + xmmi m01,m23,m45,m67,m89; + xmmi m0123,m4567; + xmmi s0123,s4567; + xmmi s01,s23,s45,s67,s89; + xmmi s12,s34,s56,s78,s9; + xmmi r0,r2,r4,r6,r8; + xmmi r1,r3,r5,r7,r9; + xmmi r119,r219,r319,r419,r519,r619,r719,r819,r919; + xmmi c1,c2,c3; + + s0123 = _mm_load_si128((xmmi*)s + 0); + s01 = _mm_shuffle_epi32(s0123,_MM_SHUFFLE(3,1,2,0)); + s12 = _mm_shuffle_epi32(s0123, _MM_SHUFFLE(2,2,1,1)); + s23 = _mm_shuffle_epi32(s0123,_MM_SHUFFLE(3,3,2,2)); + s4567 = _mm_load_si128((xmmi*)s + 1); + s34 = _mm_unpacklo_epi64(_mm_srli_si128(s0123,12),s4567); + s45 = _mm_shuffle_epi32(s4567,_MM_SHUFFLE(3,1,2,0)); + s56 = _mm_shuffle_epi32(s4567, _MM_SHUFFLE(2,2,1,1)); + s67 = _mm_shuffle_epi32(s4567,_MM_SHUFFLE(3,3,2,2)); + s89 = _mm_load_si128((xmmi*)s + 2); + s78 = _mm_unpacklo_epi64(_mm_srli_si128(s4567,12),s89); + s89 = _mm_shuffle_epi32(s89,_MM_SHUFFLE(3,1,2,0)); + s9 = _mm_shuffle_epi32(s89, _MM_SHUFFLE(3,3,2,2)); + + r0 = _mm_load_si128((xmmi*)r + 0); + r1 = _mm_shuffle_epi32(r0, _MM_SHUFFLE(1,1,1,1)); + r1 = _mm_add_epi64(r1, _mm_and_si128(r1, top64bitmask.v)); + r2 = _mm_shuffle_epi32(r0, _MM_SHUFFLE(2,2,2,2)); + r3 = _mm_shuffle_epi32(r0, _MM_SHUFFLE(3,3,3,3)); + r3 = _mm_add_epi64(r3, _mm_and_si128(r3, top64bitmask.v)); + r0 = _mm_shuffle_epi32(r0, _MM_SHUFFLE(0,0,0,0)); + r4 = _mm_load_si128((xmmi*)r + 1); + r5 = _mm_shuffle_epi32(r4, _MM_SHUFFLE(1,1,1,1)); + r5 = _mm_add_epi64(r5, _mm_and_si128(r5, top64bitmask.v)); + r6 = _mm_shuffle_epi32(r4, _MM_SHUFFLE(2,2,2,2)); + r7 = _mm_shuffle_epi32(r4, _MM_SHUFFLE(3,3,3,3)); + r7 = _mm_add_epi64(r7, _mm_and_si128(r7, top64bitmask.v)); + r4 = _mm_shuffle_epi32(r4, _MM_SHUFFLE(0,0,0,0)); + r8 = _mm_load_si128((xmmi*)r + 2); + r9 = _mm_shuffle_epi32(r8, _MM_SHUFFLE(3,1,3,1)); + r9 = _mm_add_epi64(r9, _mm_and_si128(r9, top64bitmask.v)); + r8 = _mm_shuffle_epi32(r8, _MM_SHUFFLE(3,0,3,0)); + + m01 = _mm_mul_epu32(r1,s01); + m23 = _mm_mul_epu32(r1,s23); + m45 = _mm_mul_epu32(r1,s45); + m67 = _mm_mul_epu32(r1,s67); + m23 = _mm_add_epi64(m23,_mm_mul_epu32(r3,s01)); + m45 = _mm_add_epi64(m45,_mm_mul_epu32(r3,s23)); + m67 = _mm_add_epi64(m67,_mm_mul_epu32(r3,s45)); + m89 = _mm_mul_epu32(r1,s89); + m45 = _mm_add_epi64(m45,_mm_mul_epu32(r5,s01)); + m67 = _mm_add_epi64(m67,_mm_mul_epu32(r5,s23)); + m89 = _mm_add_epi64(m89,_mm_mul_epu32(r3,s67)); + m67 = _mm_add_epi64(m67,_mm_mul_epu32(r7,s01)); + m89 = _mm_add_epi64(m89,_mm_mul_epu32(r5,s45)); + m89 = _mm_add_epi64(m89,_mm_mul_epu32(r7,s23)); + m89 = _mm_add_epi64(m89,_mm_mul_epu32(r9,s01)); + + /* shift up */ + m89 = _mm_unpackhi_epi64(m67,_mm_slli_si128(m89,8)); + m67 = _mm_unpackhi_epi64(m45,_mm_slli_si128(m67,8)); + m45 = _mm_unpackhi_epi64(m23,_mm_slli_si128(m45,8)); + m23 = _mm_unpackhi_epi64(m01,_mm_slli_si128(m23,8)); + m01 = _mm_unpackhi_epi64(_mm_setzero_si128(),_mm_slli_si128(m01,8)); + + m01 = _mm_add_epi64(m01,_mm_mul_epu32(r0,s01)); + m23 = _mm_add_epi64(m23,_mm_mul_epu32(r0,s23)); + m45 = _mm_add_epi64(m45,_mm_mul_epu32(r0,s45)); + m67 = _mm_add_epi64(m67,_mm_mul_epu32(r0,s67)); + m23 = _mm_add_epi64(m23,_mm_mul_epu32(r2,s01)); + m45 = _mm_add_epi64(m45,_mm_mul_epu32(r2,s23)); + m67 = _mm_add_epi64(m67,_mm_mul_epu32(r4,s23)); + m89 = _mm_add_epi64(m89,_mm_mul_epu32(r0,s89)); + m45 = _mm_add_epi64(m45,_mm_mul_epu32(r4,s01)); + m67 = _mm_add_epi64(m67,_mm_mul_epu32(r2,s45)); + m89 = _mm_add_epi64(m89,_mm_mul_epu32(r2,s67)); + m67 = _mm_add_epi64(m67,_mm_mul_epu32(r6,s01)); + m89 = _mm_add_epi64(m89,_mm_mul_epu32(r4,s45)); + m89 = _mm_add_epi64(m89,_mm_mul_epu32(r6,s23)); + m89 = _mm_add_epi64(m89,_mm_mul_epu32(r8,s01)); + + r219 = _mm_mul_epu32(r2, packednineteen.v); + r419 = _mm_mul_epu32(r4, packednineteen.v); + r619 = _mm_mul_epu32(r6, packednineteen.v); + r819 = _mm_mul_epu32(r8, packednineteen.v); + r119 = _mm_shuffle_epi32(r1,_MM_SHUFFLE(0,0,2,2)); r119 = _mm_mul_epu32(r119, packednineteen.v); + r319 = _mm_shuffle_epi32(r3,_MM_SHUFFLE(0,0,2,2)); r319 = _mm_mul_epu32(r319, packednineteen.v); + r519 = _mm_shuffle_epi32(r5,_MM_SHUFFLE(0,0,2,2)); r519 = _mm_mul_epu32(r519, packednineteen.v); + r719 = _mm_shuffle_epi32(r7,_MM_SHUFFLE(0,0,2,2)); r719 = _mm_mul_epu32(r719, packednineteen.v); + r919 = _mm_shuffle_epi32(r9,_MM_SHUFFLE(0,0,2,2)); r919 = _mm_mul_epu32(r919, packednineteen.v); + + m01 = _mm_add_epi64(m01,_mm_mul_epu32(r919,s12)); + m23 = _mm_add_epi64(m23,_mm_mul_epu32(r919,s34)); + m45 = _mm_add_epi64(m45,_mm_mul_epu32(r919,s56)); + m67 = _mm_add_epi64(m67,_mm_mul_epu32(r919,s78)); + m01 = _mm_add_epi64(m01,_mm_mul_epu32(r719,s34)); + m23 = _mm_add_epi64(m23,_mm_mul_epu32(r719,s56)); + m45 = _mm_add_epi64(m45,_mm_mul_epu32(r719,s78)); + m67 = _mm_add_epi64(m67,_mm_mul_epu32(r719,s9)); + m01 = _mm_add_epi64(m01,_mm_mul_epu32(r519,s56)); + m23 = _mm_add_epi64(m23,_mm_mul_epu32(r519,s78)); + m45 = _mm_add_epi64(m45,_mm_mul_epu32(r519,s9)); + m67 = _mm_add_epi64(m67,_mm_mul_epu32(r819,s89)); + m01 = _mm_add_epi64(m01,_mm_mul_epu32(r319,s78)); + m23 = _mm_add_epi64(m23,_mm_mul_epu32(r319,s9)); + m45 = _mm_add_epi64(m45,_mm_mul_epu32(r619,s89)); + m89 = _mm_add_epi64(m89,_mm_mul_epu32(r919,s9)); + m01 = _mm_add_epi64(m01,_mm_mul_epu32(r819,s23)); + m23 = _mm_add_epi64(m23,_mm_mul_epu32(r819,s45)); + m45 = _mm_add_epi64(m45,_mm_mul_epu32(r819,s67)); + m01 = _mm_add_epi64(m01,_mm_mul_epu32(r619,s45)); + m23 = _mm_add_epi64(m23,_mm_mul_epu32(r619,s67)); + m01 = _mm_add_epi64(m01,_mm_mul_epu32(r419,s67)); + m23 = _mm_add_epi64(m23,_mm_mul_epu32(r419,s89)); + m01 = _mm_add_epi64(m01,_mm_mul_epu32(r219,s89)); + m01 = _mm_add_epi64(m01,_mm_mul_epu32(r119,s9)); + + r0 = _mm_unpacklo_epi64(m01, m45); + r1 = _mm_unpackhi_epi64(m01, m45); + r2 = _mm_unpacklo_epi64(m23, m67); + r3 = _mm_unpackhi_epi64(m23, m67); + r4 = _mm_unpacklo_epi64(m89, m89); + r5 = _mm_unpackhi_epi64(m89, m89); + + c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); + c1 = _mm_srli_epi64(r1, 25); c2 = _mm_srli_epi64(r3, 25); r1 = _mm_and_si128(r1, packedmask25.v); r3 = _mm_and_si128(r3, packedmask25.v); r2 = _mm_add_epi64(r2, c1); r4 = _mm_add_epi64(r4, c2); c3 = _mm_slli_si128(c2, 8); + c1 = _mm_srli_epi64(r4, 26); r4 = _mm_and_si128(r4, packedmask26.v); r5 = _mm_add_epi64(r5, c1); + c1 = _mm_srli_epi64(r5, 25); r5 = _mm_and_si128(r5, packedmask25.v); r0 = _mm_add_epi64(r0, _mm_unpackhi_epi64(_mm_mul_epu32(c1, packednineteen.v), c3)); + c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); + + m0123 = _mm_unpacklo_epi32(r0, r1); + m4567 = _mm_unpackhi_epi32(r0, r1); + m0123 = _mm_unpacklo_epi64(m0123, _mm_unpacklo_epi32(r2, r3)); + m4567 = _mm_unpacklo_epi64(m4567, _mm_unpackhi_epi32(r2, r3)); + m89 = _mm_unpackhi_epi32(r4, r5); + + _mm_store_si128((xmmi*)out + 0, m0123); + _mm_store_si128((xmmi*)out + 1, m4567); + _mm_store_si128((xmmi*)out + 2, m89); +} + +DONNA_NOINLINE static void +curve25519_mul_noinline(bignum25519 out, const bignum25519 r, const bignum25519 s) { + curve25519_mul(out, r, s); +} + +#define curve25519_square(r, n) curve25519_square_times(r, n, 1) +static void +curve25519_square_times(bignum25519 r, const bignum25519 in, int count) { + xmmi m01,m23,m45,m67,m89; + xmmi r0,r1,r2,r3,r4,r5,r6,r7,r8,r9; + xmmi r0a,r1a,r2a,r3a,r7a,r9a; + xmmi r0123,r4567; + xmmi r01,r23,r45,r67,r6x,r89,r8x; + xmmi r12,r34,r56,r78,r9x; + xmmi r5619; + xmmi c1,c2,c3; + + r0123 = _mm_load_si128((xmmi*)in + 0); + r01 = _mm_shuffle_epi32(r0123,_MM_SHUFFLE(3,1,2,0)); + r23 = _mm_shuffle_epi32(r0123,_MM_SHUFFLE(3,3,2,2)); + r4567 = _mm_load_si128((xmmi*)in + 1); + r45 = _mm_shuffle_epi32(r4567,_MM_SHUFFLE(3,1,2,0)); + r67 = _mm_shuffle_epi32(r4567,_MM_SHUFFLE(3,3,2,2)); + r89 = _mm_load_si128((xmmi*)in + 2); + r89 = _mm_shuffle_epi32(r89,_MM_SHUFFLE(3,1,2,0)); + + do { + r12 = _mm_unpackhi_epi64(r01, _mm_slli_si128(r23, 8)); + r0 = _mm_shuffle_epi32(r01, _MM_SHUFFLE(0,0,0,0)); + r0 = _mm_add_epi64(r0, _mm_and_si128(r0, top64bitmask.v)); + r0a = _mm_shuffle_epi32(r0,_MM_SHUFFLE(3,2,1,2)); + r1 = _mm_shuffle_epi32(r01, _MM_SHUFFLE(2,2,2,2)); + r2 = _mm_shuffle_epi32(r23, _MM_SHUFFLE(0,0,0,0)); + r2 = _mm_add_epi64(r2, _mm_and_si128(r2, top64bitmask.v)); + r2a = _mm_shuffle_epi32(r2,_MM_SHUFFLE(3,2,1,2)); + r3 = _mm_shuffle_epi32(r23, _MM_SHUFFLE(2,2,2,2)); + r34 = _mm_unpackhi_epi64(r23, _mm_slli_si128(r45, 8)); + r4 = _mm_shuffle_epi32(r45, _MM_SHUFFLE(0,0,0,0)); + r4 = _mm_add_epi64(r4, _mm_and_si128(r4, top64bitmask.v)); + r56 = _mm_unpackhi_epi64(r45, _mm_slli_si128(r67, 8)); + r5619 = _mm_mul_epu32(r56, packednineteen.v); + r5 = _mm_shuffle_epi32(r5619, _MM_SHUFFLE(1,1,1,0)); + r6 = _mm_shuffle_epi32(r5619, _MM_SHUFFLE(3,2,3,2)); + r78 = _mm_unpackhi_epi64(r67, _mm_slli_si128(r89, 8)); + r6x = _mm_unpacklo_epi64(r67, _mm_setzero_si128()); + r7 = _mm_shuffle_epi32(r67, _MM_SHUFFLE(2,2,2,2)); + r7 = _mm_mul_epu32(r7, packed3819.v); + r7a = _mm_shuffle_epi32(r7, _MM_SHUFFLE(3,3,3,2)); + r8x = _mm_unpacklo_epi64(r89, _mm_setzero_si128()); + r8 = _mm_shuffle_epi32(r89, _MM_SHUFFLE(0,0,0,0)); + r8 = _mm_mul_epu32(r8, packednineteen.v); + r9 = _mm_shuffle_epi32(r89, _MM_SHUFFLE(2,2,2,2)); + r9x = _mm_slli_epi32(_mm_shuffle_epi32(r89, _MM_SHUFFLE(3,3,3,2)), 1); + r9 = _mm_mul_epu32(r9, packed3819.v); + r9a = _mm_shuffle_epi32(r9, _MM_SHUFFLE(2,2,2,2)); + + m01 = _mm_mul_epu32(r01, r0); + m23 = _mm_mul_epu32(r23, r0a); + m45 = _mm_mul_epu32(r45, r0a); + m45 = _mm_add_epi64(m45, _mm_mul_epu32(r23, r2)); + r23 = _mm_slli_epi32(r23, 1); + m67 = _mm_mul_epu32(r67, r0a); + m67 = _mm_add_epi64(m67, _mm_mul_epu32(r45, r2a)); + m89 = _mm_mul_epu32(r89, r0a); + m89 = _mm_add_epi64(m89, _mm_mul_epu32(r67, r2a)); + r67 = _mm_slli_epi32(r67, 1); + m89 = _mm_add_epi64(m89, _mm_mul_epu32(r45, r4)); + r45 = _mm_slli_epi32(r45, 1); + + r1 = _mm_slli_epi32(r1, 1); + r3 = _mm_slli_epi32(r3, 1); + r1a = _mm_add_epi64(r1, _mm_and_si128(r1, bot64bitmask.v)); + r3a = _mm_add_epi64(r3, _mm_and_si128(r3, bot64bitmask.v)); + + m23 = _mm_add_epi64(m23, _mm_mul_epu32(r12, r1)); + m45 = _mm_add_epi64(m45, _mm_mul_epu32(r34, r1a)); + m67 = _mm_add_epi64(m67, _mm_mul_epu32(r56, r1a)); + m67 = _mm_add_epi64(m67, _mm_mul_epu32(r34, r3)); + r34 = _mm_slli_epi32(r34, 1); + m89 = _mm_add_epi64(m89, _mm_mul_epu32(r78, r1a)); + r78 = _mm_slli_epi32(r78, 1); + m89 = _mm_add_epi64(m89, _mm_mul_epu32(r56, r3a)); + r56 = _mm_slli_epi32(r56, 1); + + m01 = _mm_add_epi64(m01, _mm_mul_epu32(_mm_slli_epi32(r12, 1), r9)); + m01 = _mm_add_epi64(m01, _mm_mul_epu32(r34, r7)); + m23 = _mm_add_epi64(m23, _mm_mul_epu32(r34, r9)); + m01 = _mm_add_epi64(m01, _mm_mul_epu32(r56, r5)); + m23 = _mm_add_epi64(m23, _mm_mul_epu32(r56, r7)); + m45 = _mm_add_epi64(m45, _mm_mul_epu32(r56, r9)); + m01 = _mm_add_epi64(m01, _mm_mul_epu32(r23, r8)); + m01 = _mm_add_epi64(m01, _mm_mul_epu32(r45, r6)); + m23 = _mm_add_epi64(m23, _mm_mul_epu32(r45, r8)); + m23 = _mm_add_epi64(m23, _mm_mul_epu32(r6x, r6)); + m45 = _mm_add_epi64(m45, _mm_mul_epu32(r78, r7a)); + m67 = _mm_add_epi64(m67, _mm_mul_epu32(r78, r9)); + m45 = _mm_add_epi64(m45, _mm_mul_epu32(r67, r8)); + m67 = _mm_add_epi64(m67, _mm_mul_epu32(r8x, r8)); + m89 = _mm_add_epi64(m89, _mm_mul_epu32(r9x, r9a)); + + r0 = _mm_unpacklo_epi64(m01, m45); + r1 = _mm_unpackhi_epi64(m01, m45); + r2 = _mm_unpacklo_epi64(m23, m67); + r3 = _mm_unpackhi_epi64(m23, m67); + r4 = _mm_unpacklo_epi64(m89, m89); + r5 = _mm_unpackhi_epi64(m89, m89); + + c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); + c1 = _mm_srli_epi64(r1, 25); c2 = _mm_srli_epi64(r3, 25); r1 = _mm_and_si128(r1, packedmask25.v); r3 = _mm_and_si128(r3, packedmask25.v); r2 = _mm_add_epi64(r2, c1); r4 = _mm_add_epi64(r4, c2); c3 = _mm_slli_si128(c2, 8); + c1 = _mm_srli_epi64(r4, 26); r4 = _mm_and_si128(r4, packedmask26.v); r5 = _mm_add_epi64(r5, c1); + c1 = _mm_srli_epi64(r5, 25); r5 = _mm_and_si128(r5, packedmask25.v); r0 = _mm_add_epi64(r0, _mm_unpackhi_epi64(_mm_mul_epu32(c1, packednineteen.v), c3)); + c1 = _mm_srli_epi64(r0, 26); c2 = _mm_srli_epi64(r2, 26); r0 = _mm_and_si128(r0, packedmask26.v); r2 = _mm_and_si128(r2, packedmask26.v); r1 = _mm_add_epi64(r1, c1); r3 = _mm_add_epi64(r3, c2); + + r01 = _mm_unpacklo_epi64(r0, r1); + r45 = _mm_unpackhi_epi64(r0, r1); + r23 = _mm_unpacklo_epi64(r2, r3); + r67 = _mm_unpackhi_epi64(r2, r3); + r89 = _mm_unpackhi_epi64(r4, r5); + } while (--count); + + r0123 = _mm_shuffle_epi32(r23, _MM_SHUFFLE(2,0,3,3)); + r4567 = _mm_shuffle_epi32(r67, _MM_SHUFFLE(2,0,3,3)); + r0123 = _mm_or_si128(r0123, _mm_shuffle_epi32(r01, _MM_SHUFFLE(3,3,2,0))); + r4567 = _mm_or_si128(r4567, _mm_shuffle_epi32(r45, _MM_SHUFFLE(3,3,2,0))); + r89 = _mm_shuffle_epi32(r89, _MM_SHUFFLE(3,3,2,0)); + + _mm_store_si128((xmmi*)r + 0, r0123); + _mm_store_si128((xmmi*)r + 1, r4567); + _mm_store_si128((xmmi*)r + 2, r89); +} + +DONNA_INLINE static void +curve25519_tangle32(packedelem32 *out, const bignum25519 x, const bignum25519 z) { + xmmi x0,x1,x2,z0,z1,z2; + + x0 = _mm_load_si128((xmmi *)(x + 0)); + x1 = _mm_load_si128((xmmi *)(x + 4)); + x2 = _mm_load_si128((xmmi *)(x + 8)); + z0 = _mm_load_si128((xmmi *)(z + 0)); + z1 = _mm_load_si128((xmmi *)(z + 4)); + z2 = _mm_load_si128((xmmi *)(z + 8)); + + out[0].v = _mm_unpacklo_epi32(x0, z0); + out[1].v = _mm_unpackhi_epi32(x0, z0); + out[2].v = _mm_unpacklo_epi32(x1, z1); + out[3].v = _mm_unpackhi_epi32(x1, z1); + out[4].v = _mm_unpacklo_epi32(x2, z2); +} + +DONNA_INLINE static void +curve25519_untangle32(bignum25519 x, bignum25519 z, const packedelem32 *in) { + xmmi t0,t1,t2,t3,t4,zero; + + t0 = _mm_shuffle_epi32(in[0].v, _MM_SHUFFLE(3,1,2,0)); + t1 = _mm_shuffle_epi32(in[1].v, _MM_SHUFFLE(3,1,2,0)); + t2 = _mm_shuffle_epi32(in[2].v, _MM_SHUFFLE(3,1,2,0)); + t3 = _mm_shuffle_epi32(in[3].v, _MM_SHUFFLE(3,1,2,0)); + t4 = _mm_shuffle_epi32(in[4].v, _MM_SHUFFLE(3,1,2,0)); + zero = _mm_setzero_si128(); + _mm_store_si128((xmmi *)x + 0, _mm_unpacklo_epi64(t0, t1)); + _mm_store_si128((xmmi *)x + 1, _mm_unpacklo_epi64(t2, t3)); + _mm_store_si128((xmmi *)x + 2, _mm_unpacklo_epi64(t4, zero)); + _mm_store_si128((xmmi *)z + 0, _mm_unpackhi_epi64(t0, t1)); + _mm_store_si128((xmmi *)z + 1, _mm_unpackhi_epi64(t2, t3)); + _mm_store_si128((xmmi *)z + 2, _mm_unpackhi_epi64(t4, zero)); +} + +DONNA_INLINE static void +curve25519_add_reduce_packed32(packedelem32 *out, const packedelem32 *r, const packedelem32 *s) { + xmmi r0,r1,r2,r3,r4; + xmmi s0,s1,s2,s3,s4,s5; + xmmi c1,c2; + + r0 = _mm_add_epi32(r[0].v, s[0].v); + r1 = _mm_add_epi32(r[1].v, s[1].v); + r2 = _mm_add_epi32(r[2].v, s[2].v); + r3 = _mm_add_epi32(r[3].v, s[3].v); + r4 = _mm_add_epi32(r[4].v, s[4].v); + + s0 = _mm_unpacklo_epi64(r0, r2); /* 00 44 */ + s1 = _mm_unpackhi_epi64(r0, r2); /* 11 55 */ + s2 = _mm_unpacklo_epi64(r1, r3); /* 22 66 */ + s3 = _mm_unpackhi_epi64(r1, r3); /* 33 77 */ + s4 = _mm_unpacklo_epi64(_mm_setzero_si128(), r4); /* 00 88 */ + s5 = _mm_unpackhi_epi64(_mm_setzero_si128(), r4); /* 00 99 */ + + c1 = _mm_srli_epi32(s0, 26); c2 = _mm_srli_epi32(s2, 26); s0 = _mm_and_si128(s0, packedmask26262626.v); s2 = _mm_and_si128(s2, packedmask26262626.v); s1 = _mm_add_epi32(s1, c1); s3 = _mm_add_epi32(s3, c2); + c1 = _mm_srli_epi32(s1, 25); c2 = _mm_srli_epi32(s3, 25); s1 = _mm_and_si128(s1, packedmask25252525.v); s3 = _mm_and_si128(s3, packedmask25252525.v); s2 = _mm_add_epi32(s2, c1); s4 = _mm_add_epi32(s4, _mm_unpackhi_epi64(_mm_setzero_si128(), c2)); s0 = _mm_add_epi32(s0, _mm_unpacklo_epi64(_mm_setzero_si128(), c2)); + c1 = _mm_srli_epi32(s2, 26); c2 = _mm_srli_epi32(s4, 26); s2 = _mm_and_si128(s2, packedmask26262626.v); s4 = _mm_and_si128(s4, packedmask26262626.v); s3 = _mm_add_epi32(s3, c1); s5 = _mm_add_epi32(s5, c2); + c1 = _mm_srli_epi32(s3, 25); c2 = _mm_srli_epi32(s5, 25); s3 = _mm_and_si128(s3, packedmask25252525.v); s5 = _mm_and_si128(s5, packedmask25252525.v); s4 = _mm_add_epi32(s4, c1); s0 = _mm_add_epi32(s0, _mm_or_si128(_mm_slli_si128(c1, 8), _mm_srli_si128(_mm_add_epi32(_mm_add_epi32(_mm_slli_epi32(c2, 4), _mm_slli_epi32(c2, 1)), c2), 8))); + c1 = _mm_srli_epi32(s0, 26); c2 = _mm_srli_epi32(s2, 26); s0 = _mm_and_si128(s0, packedmask26262626.v); s2 = _mm_and_si128(s2, packedmask26262626.v); s1 = _mm_add_epi32(s1, c1); s3 = _mm_add_epi32(s3, c2); + + out[0].v = _mm_unpacklo_epi64(s0, s1); /* 00 11 */ + out[1].v = _mm_unpacklo_epi64(s2, s3); /* 22 33 */ + out[2].v = _mm_unpackhi_epi64(s0, s1); /* 44 55 */ + out[3].v = _mm_unpackhi_epi64(s2, s3); /* 66 77 */ + out[4].v = _mm_unpackhi_epi64(s4, s5); /* 88 99 */ +} + +DONNA_INLINE static void +curve25519_add_packed32(packedelem32 *out, const packedelem32 *r, const packedelem32 *s) { + out[0].v = _mm_add_epi32(r[0].v, s[0].v); + out[1].v = _mm_add_epi32(r[1].v, s[1].v); + out[2].v = _mm_add_epi32(r[2].v, s[2].v); + out[3].v = _mm_add_epi32(r[3].v, s[3].v); + out[4].v = _mm_add_epi32(r[4].v, s[4].v); +} + +DONNA_INLINE static void +curve25519_sub_packed32(packedelem32 *out, const packedelem32 *r, const packedelem32 *s) { + xmmi r0,r1,r2,r3,r4; + xmmi s0,s1,s2,s3; + xmmi c1,c2; + + r0 = _mm_add_epi32(r[0].v, packed32packed2p0.v); + r1 = _mm_add_epi32(r[1].v, packed32packed2p1.v); + r2 = _mm_add_epi32(r[2].v, packed32packed2p1.v); + r3 = _mm_add_epi32(r[3].v, packed32packed2p1.v); + r4 = _mm_add_epi32(r[4].v, packed32packed2p1.v); + r0 = _mm_sub_epi32(r0, s[0].v); /* 00 11 */ + r1 = _mm_sub_epi32(r1, s[1].v); /* 22 33 */ + r2 = _mm_sub_epi32(r2, s[2].v); /* 44 55 */ + r3 = _mm_sub_epi32(r3, s[3].v); /* 66 77 */ + r4 = _mm_sub_epi32(r4, s[4].v); /* 88 99 */ + + s0 = _mm_unpacklo_epi64(r0, r2); /* 00 44 */ + s1 = _mm_unpackhi_epi64(r0, r2); /* 11 55 */ + s2 = _mm_unpacklo_epi64(r1, r3); /* 22 66 */ + s3 = _mm_unpackhi_epi64(r1, r3); /* 33 77 */ + + c1 = _mm_srli_epi32(s0, 26); c2 = _mm_srli_epi32(s2, 26); s0 = _mm_and_si128(s0, packedmask26262626.v); s2 = _mm_and_si128(s2, packedmask26262626.v); s1 = _mm_add_epi32(s1, c1); s3 = _mm_add_epi32(s3, c2); + c1 = _mm_srli_epi32(s1, 25); c2 = _mm_srli_epi32(s3, 25); s1 = _mm_and_si128(s1, packedmask25252525.v); s3 = _mm_and_si128(s3, packedmask25252525.v); s2 = _mm_add_epi32(s2, c1); r4 = _mm_add_epi32(r4, _mm_srli_si128(c2, 8)); s0 = _mm_add_epi32(s0, _mm_slli_si128(c2, 8)); + + out[0].v = _mm_unpacklo_epi64(s0, s1); /* 00 11 */ + out[1].v = _mm_unpacklo_epi64(s2, s3); /* 22 33 */ + out[2].v = _mm_unpackhi_epi64(s0, s1); /* 44 55 */ + out[3].v = _mm_unpackhi_epi64(s2, s3); /* 66 77 */ + out[4].v = r4; +} + +DONNA_INLINE static void +curve25519_sub_after_basic_packed32(packedelem32 *out, const packedelem32 *r, const packedelem32 *s) { + xmmi r0,r1,r2,r3,r4; + xmmi s0,s1,s2,s3,s4,s5; + xmmi c1,c2; + + r0 = _mm_add_epi32(r[0].v, packed32packed4p0.v); + r1 = _mm_add_epi32(r[1].v, packed32packed4p1.v); + r2 = _mm_add_epi32(r[2].v, packed32packed4p1.v); + r3 = _mm_add_epi32(r[3].v, packed32packed4p1.v); + r4 = _mm_add_epi32(r[4].v, packed32packed4p1.v); + r0 = _mm_sub_epi32(r0, s[0].v); /* 00 11 */ + r1 = _mm_sub_epi32(r1, s[1].v); /* 22 33 */ + r2 = _mm_sub_epi32(r2, s[2].v); /* 44 55 */ + r3 = _mm_sub_epi32(r3, s[3].v); /* 66 77 */ + r4 = _mm_sub_epi32(r4, s[4].v); /* 88 99 */ + + s0 = _mm_unpacklo_epi64(r0, r2); /* 00 44 */ + s1 = _mm_unpackhi_epi64(r0, r2); /* 11 55 */ + s2 = _mm_unpacklo_epi64(r1, r3); /* 22 66 */ + s3 = _mm_unpackhi_epi64(r1, r3); /* 33 77 */ + s4 = _mm_unpacklo_epi64(_mm_setzero_si128(), r4); /* 00 88 */ + s5 = _mm_unpackhi_epi64(_mm_setzero_si128(), r4); /* 00 99 */ + + c1 = _mm_srli_epi32(s0, 26); c2 = _mm_srli_epi32(s2, 26); s0 = _mm_and_si128(s0, packedmask26262626.v); s2 = _mm_and_si128(s2, packedmask26262626.v); s1 = _mm_add_epi32(s1, c1); s3 = _mm_add_epi32(s3, c2); + c1 = _mm_srli_epi32(s1, 25); c2 = _mm_srli_epi32(s3, 25); s1 = _mm_and_si128(s1, packedmask25252525.v); s3 = _mm_and_si128(s3, packedmask25252525.v); s2 = _mm_add_epi32(s2, c1); s4 = _mm_add_epi32(s4, _mm_unpackhi_epi64(_mm_setzero_si128(), c2)); s0 = _mm_add_epi32(s0, _mm_unpacklo_epi64(_mm_setzero_si128(), c2)); + c1 = _mm_srli_epi32(s2, 26); c2 = _mm_srli_epi32(s4, 26); s2 = _mm_and_si128(s2, packedmask26262626.v); s4 = _mm_and_si128(s4, packedmask26262626.v); s3 = _mm_add_epi32(s3, c1); s5 = _mm_add_epi32(s5, c2); + c1 = _mm_srli_epi32(s3, 25); c2 = _mm_srli_epi32(s5, 25); s3 = _mm_and_si128(s3, packedmask25252525.v); s5 = _mm_and_si128(s5, packedmask25252525.v); s4 = _mm_add_epi32(s4, c1); s0 = _mm_add_epi32(s0, _mm_or_si128(_mm_slli_si128(c1, 8), _mm_srli_si128(_mm_add_epi32(_mm_add_epi32(_mm_slli_epi32(c2, 4), _mm_slli_epi32(c2, 1)), c2), 8))); + c1 = _mm_srli_epi32(s0, 26); c2 = _mm_srli_epi32(s2, 26); s0 = _mm_and_si128(s0, packedmask26262626.v); s2 = _mm_and_si128(s2, packedmask26262626.v); s1 = _mm_add_epi32(s1, c1); s3 = _mm_add_epi32(s3, c2); + + out[0].v = _mm_unpacklo_epi64(s0, s1); /* 00 11 */ + out[1].v = _mm_unpacklo_epi64(s2, s3); /* 22 33 */ + out[2].v = _mm_unpackhi_epi64(s0, s1); /* 44 55 */ + out[3].v = _mm_unpackhi_epi64(s2, s3); /* 66 77 */ + out[4].v = _mm_unpackhi_epi64(s4, s5); /* 88 99 */ +} + +DONNA_INLINE static void +curve25519_tangle64_from32(packedelem64 *a, packedelem64 *b, const packedelem32 *c, const packedelem32 *d) { + xmmi c0,c1,c2,c3,c4,c5,t; + xmmi d0,d1,d2,d3,d4,d5; + xmmi t0,t1,t2,t3,t4,zero; + + t0 = _mm_shuffle_epi32(c[0].v, _MM_SHUFFLE(3,1,2,0)); + t1 = _mm_shuffle_epi32(c[1].v, _MM_SHUFFLE(3,1,2,0)); + t2 = _mm_shuffle_epi32(d[0].v, _MM_SHUFFLE(3,1,2,0)); + t3 = _mm_shuffle_epi32(d[1].v, _MM_SHUFFLE(3,1,2,0)); + c0 = _mm_unpacklo_epi64(t0, t1); + c3 = _mm_unpackhi_epi64(t0, t1); + d0 = _mm_unpacklo_epi64(t2, t3); + d3 = _mm_unpackhi_epi64(t2, t3); + t = _mm_unpacklo_epi64(c0, d0); a[0].v = t; a[1].v = _mm_srli_epi64(t, 32); + t = _mm_unpackhi_epi64(c0, d0); a[2].v = t; a[3].v = _mm_srli_epi64(t, 32); + t = _mm_unpacklo_epi64(c3, d3); b[0].v = t; b[1].v = _mm_srli_epi64(t, 32); + t = _mm_unpackhi_epi64(c3, d3); b[2].v = t; b[3].v = _mm_srli_epi64(t, 32); + + t0 = _mm_shuffle_epi32(c[2].v, _MM_SHUFFLE(3,1,2,0)); + t1 = _mm_shuffle_epi32(c[3].v, _MM_SHUFFLE(3,1,2,0)); + t2 = _mm_shuffle_epi32(d[2].v, _MM_SHUFFLE(3,1,2,0)); + t3 = _mm_shuffle_epi32(d[3].v, _MM_SHUFFLE(3,1,2,0)); + c1 = _mm_unpacklo_epi64(t0, t1); + c4 = _mm_unpackhi_epi64(t0, t1); + d1 = _mm_unpacklo_epi64(t2, t3); + d4 = _mm_unpackhi_epi64(t2, t3); + t = _mm_unpacklo_epi64(c1, d1); a[4].v = t; a[5].v = _mm_srli_epi64(t, 32); + t = _mm_unpackhi_epi64(c1, d1); a[6].v = t; a[7].v = _mm_srli_epi64(t, 32); + t = _mm_unpacklo_epi64(c4, d4); b[4].v = t; b[5].v = _mm_srli_epi64(t, 32); + t = _mm_unpackhi_epi64(c4, d4); b[6].v = t; b[7].v = _mm_srli_epi64(t, 32); + + t4 = _mm_shuffle_epi32(c[4].v, _MM_SHUFFLE(3,1,2,0)); + zero = _mm_setzero_si128(); + c2 = _mm_unpacklo_epi64(t4, zero); + c5 = _mm_unpackhi_epi64(t4, zero); + t4 = _mm_shuffle_epi32(d[4].v, _MM_SHUFFLE(3,1,2,0)); + d2 = _mm_unpacklo_epi64(t4, zero); + d5 = _mm_unpackhi_epi64(t4, zero); + t = _mm_unpacklo_epi64(c2, d2); a[8].v = t; a[9].v = _mm_srli_epi64(t, 32); + t = _mm_unpacklo_epi64(c5, d5); b[8].v = t; b[9].v = _mm_srli_epi64(t, 32); +} + +DONNA_INLINE static void +curve25519_tangle64(packedelem64 *out, const bignum25519 x, const bignum25519 z) { + xmmi x0,x1,x2,z0,z1,z2,t; + + x0 = _mm_load_si128((xmmi *)x + 0); + x1 = _mm_load_si128((xmmi *)x + 1); + x2 = _mm_load_si128((xmmi *)x + 2); + z0 = _mm_load_si128((xmmi *)z + 0); + z1 = _mm_load_si128((xmmi *)z + 1); + z2 = _mm_load_si128((xmmi *)z + 2); + + t = _mm_unpacklo_epi64(x0, z0); out[0].v = t; out[1].v = _mm_srli_epi64(t, 32); + t = _mm_unpackhi_epi64(x0, z0); out[2].v = t; out[3].v = _mm_srli_epi64(t, 32); + t = _mm_unpacklo_epi64(x1, z1); out[4].v = t; out[5].v = _mm_srli_epi64(t, 32); + t = _mm_unpackhi_epi64(x1, z1); out[6].v = t; out[7].v = _mm_srli_epi64(t, 32); + t = _mm_unpacklo_epi64(x2, z2); out[8].v = t; out[9].v = _mm_srli_epi64(t, 32); +} + +DONNA_INLINE static void +curve25519_tangleone64(packedelem64 *out, const bignum25519 x) { + xmmi x0,x1,x2; + + x0 = _mm_load_si128((xmmi *)(x + 0)); + x1 = _mm_load_si128((xmmi *)(x + 4)); + x2 = _mm_load_si128((xmmi *)(x + 8)); + + out[0].v = _mm_shuffle_epi32(x0, _MM_SHUFFLE(0,0,0,0)); + out[1].v = _mm_shuffle_epi32(x0, _MM_SHUFFLE(1,1,1,1)); + out[2].v = _mm_shuffle_epi32(x0, _MM_SHUFFLE(2,2,2,2)); + out[3].v = _mm_shuffle_epi32(x0, _MM_SHUFFLE(3,3,3,3)); + out[4].v = _mm_shuffle_epi32(x1, _MM_SHUFFLE(0,0,0,0)); + out[5].v = _mm_shuffle_epi32(x1, _MM_SHUFFLE(1,1,1,1)); + out[6].v = _mm_shuffle_epi32(x1, _MM_SHUFFLE(2,2,2,2)); + out[7].v = _mm_shuffle_epi32(x1, _MM_SHUFFLE(3,3,3,3)); + out[8].v = _mm_shuffle_epi32(x2, _MM_SHUFFLE(0,0,0,0)); + out[9].v = _mm_shuffle_epi32(x2, _MM_SHUFFLE(1,1,1,1)); +} + +DONNA_INLINE static void +curve25519_swap64(packedelem64 *out) { + out[0].v = _mm_shuffle_epi32(out[0].v, _MM_SHUFFLE(1,0,3,2)); + out[1].v = _mm_shuffle_epi32(out[1].v, _MM_SHUFFLE(1,0,3,2)); + out[2].v = _mm_shuffle_epi32(out[2].v, _MM_SHUFFLE(1,0,3,2)); + out[3].v = _mm_shuffle_epi32(out[3].v, _MM_SHUFFLE(1,0,3,2)); + out[4].v = _mm_shuffle_epi32(out[4].v, _MM_SHUFFLE(1,0,3,2)); + out[5].v = _mm_shuffle_epi32(out[5].v, _MM_SHUFFLE(1,0,3,2)); + out[6].v = _mm_shuffle_epi32(out[6].v, _MM_SHUFFLE(1,0,3,2)); + out[7].v = _mm_shuffle_epi32(out[7].v, _MM_SHUFFLE(1,0,3,2)); + out[8].v = _mm_shuffle_epi32(out[8].v, _MM_SHUFFLE(1,0,3,2)); + out[9].v = _mm_shuffle_epi32(out[9].v, _MM_SHUFFLE(1,0,3,2)); +} + +DONNA_INLINE static void +curve25519_untangle64(bignum25519 x, bignum25519 z, const packedelem64 *in) { + _mm_store_si128((xmmi *)(x + 0), _mm_unpacklo_epi64(_mm_unpacklo_epi32(in[0].v, in[1].v), _mm_unpacklo_epi32(in[2].v, in[3].v))); + _mm_store_si128((xmmi *)(x + 4), _mm_unpacklo_epi64(_mm_unpacklo_epi32(in[4].v, in[5].v), _mm_unpacklo_epi32(in[6].v, in[7].v))); + _mm_store_si128((xmmi *)(x + 8), _mm_unpacklo_epi32(in[8].v, in[9].v) ); + _mm_store_si128((xmmi *)(z + 0), _mm_unpacklo_epi64(_mm_unpackhi_epi32(in[0].v, in[1].v), _mm_unpackhi_epi32(in[2].v, in[3].v))); + _mm_store_si128((xmmi *)(z + 4), _mm_unpacklo_epi64(_mm_unpackhi_epi32(in[4].v, in[5].v), _mm_unpackhi_epi32(in[6].v, in[7].v))); + _mm_store_si128((xmmi *)(z + 8), _mm_unpackhi_epi32(in[8].v, in[9].v) ); +} + +DONNA_INLINE static void +curve25519_mul_packed64(packedelem64 *out, const packedelem64 *r, const packedelem64 *s) { + xmmi r1,r2,r3,r4,r5,r6,r7,r8,r9; + xmmi r1_2,r3_2,r5_2,r7_2,r9_2; + xmmi c1,c2; + + out[0].v = _mm_mul_epu32(r[0].v, s[0].v); + out[1].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[1].v), _mm_mul_epu32(r[1].v, s[0].v)); + r1_2 = _mm_slli_epi32(r[1].v, 1); + out[2].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r1_2 , s[1].v), _mm_mul_epu32(r[2].v, s[0].v))); + out[3].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[3].v), _mm_add_epi64(_mm_mul_epu32(r[1].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[1].v), _mm_mul_epu32(r[3].v, s[0].v)))); + r3_2 = _mm_slli_epi32(r[3].v, 1); + out[4].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[4].v), _mm_add_epi64(_mm_mul_epu32(r1_2 , s[3].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r3_2 , s[1].v), _mm_mul_epu32(r[4].v, s[0].v))))); + out[5].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[5].v), _mm_add_epi64(_mm_mul_epu32(r[1].v, s[4].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[3].v), _mm_add_epi64(_mm_mul_epu32(r[3].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r[4].v, s[1].v), _mm_mul_epu32(r[5].v, s[0].v)))))); + r5_2 = _mm_slli_epi32(r[5].v, 1); + out[6].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[6].v), _mm_add_epi64(_mm_mul_epu32(r1_2 , s[5].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[4].v), _mm_add_epi64(_mm_mul_epu32(r3_2 , s[3].v), _mm_add_epi64(_mm_mul_epu32(r[4].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r5_2 , s[1].v), _mm_mul_epu32(r[6].v, s[0].v))))))); + out[7].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[7].v), _mm_add_epi64(_mm_mul_epu32(r[1].v, s[6].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[5].v), _mm_add_epi64(_mm_mul_epu32(r[3].v, s[4].v), _mm_add_epi64(_mm_mul_epu32(r[4].v, s[3].v), _mm_add_epi64(_mm_mul_epu32(r[5].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r[6].v, s[1].v), _mm_mul_epu32(r[7].v , s[0].v)))))))); + r7_2 = _mm_slli_epi32(r[7].v, 1); + out[8].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[8].v), _mm_add_epi64(_mm_mul_epu32(r1_2 , s[7].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[6].v), _mm_add_epi64(_mm_mul_epu32(r3_2 , s[5].v), _mm_add_epi64(_mm_mul_epu32(r[4].v, s[4].v), _mm_add_epi64(_mm_mul_epu32(r5_2 , s[3].v), _mm_add_epi64(_mm_mul_epu32(r[6].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r7_2 , s[1].v), _mm_mul_epu32(r[8].v, s[0].v))))))))); + out[9].v = _mm_add_epi64(_mm_mul_epu32(r[0].v, s[9].v), _mm_add_epi64(_mm_mul_epu32(r[1].v, s[8].v), _mm_add_epi64(_mm_mul_epu32(r[2].v, s[7].v), _mm_add_epi64(_mm_mul_epu32(r[3].v, s[6].v), _mm_add_epi64(_mm_mul_epu32(r[4].v, s[5].v), _mm_add_epi64(_mm_mul_epu32(r[5].v, s[4].v), _mm_add_epi64(_mm_mul_epu32(r[6].v, s[3].v), _mm_add_epi64(_mm_mul_epu32(r[7].v, s[2].v), _mm_add_epi64(_mm_mul_epu32(r[8].v, s[1].v), _mm_mul_epu32(r[9].v, s[0].v)))))))))); + + r1 = _mm_mul_epu32(r[1].v, packednineteen.v); + r2 = _mm_mul_epu32(r[2].v, packednineteen.v); + r1_2 = _mm_slli_epi32(r1, 1); + r3 = _mm_mul_epu32(r[3].v, packednineteen.v); + r4 = _mm_mul_epu32(r[4].v, packednineteen.v); + r3_2 = _mm_slli_epi32(r3, 1); + r5 = _mm_mul_epu32(r[5].v, packednineteen.v); + r6 = _mm_mul_epu32(r[6].v, packednineteen.v); + r5_2 = _mm_slli_epi32(r5, 1); + r7 = _mm_mul_epu32(r[7].v, packednineteen.v); + r8 = _mm_mul_epu32(r[8].v, packednineteen.v); + r7_2 = _mm_slli_epi32(r7, 1); + r9 = _mm_mul_epu32(r[9].v, packednineteen.v); + r9_2 = _mm_slli_epi32(r9, 1); + + out[0].v = _mm_add_epi64(out[0].v, _mm_add_epi64(_mm_mul_epu32(r9_2, s[1].v), _mm_add_epi64(_mm_mul_epu32(r8, s[2].v), _mm_add_epi64(_mm_mul_epu32(r7_2, s[3].v), _mm_add_epi64(_mm_mul_epu32(r6, s[4].v), _mm_add_epi64(_mm_mul_epu32(r5_2, s[5].v), _mm_add_epi64(_mm_mul_epu32(r4, s[6].v), _mm_add_epi64(_mm_mul_epu32(r3_2, s[7].v), _mm_add_epi64(_mm_mul_epu32(r2, s[8].v), _mm_mul_epu32(r1_2, s[9].v)))))))))); + out[1].v = _mm_add_epi64(out[1].v, _mm_add_epi64(_mm_mul_epu32(r9 , s[2].v), _mm_add_epi64(_mm_mul_epu32(r8, s[3].v), _mm_add_epi64(_mm_mul_epu32(r7 , s[4].v), _mm_add_epi64(_mm_mul_epu32(r6, s[5].v), _mm_add_epi64(_mm_mul_epu32(r5 , s[6].v), _mm_add_epi64(_mm_mul_epu32(r4, s[7].v), _mm_add_epi64(_mm_mul_epu32(r3 , s[8].v), _mm_mul_epu32(r2, s[9].v))))))))); + out[2].v = _mm_add_epi64(out[2].v, _mm_add_epi64(_mm_mul_epu32(r9_2, s[3].v), _mm_add_epi64(_mm_mul_epu32(r8, s[4].v), _mm_add_epi64(_mm_mul_epu32(r7_2, s[5].v), _mm_add_epi64(_mm_mul_epu32(r6, s[6].v), _mm_add_epi64(_mm_mul_epu32(r5_2, s[7].v), _mm_add_epi64(_mm_mul_epu32(r4, s[8].v), _mm_mul_epu32(r3_2, s[9].v)))))))); + out[3].v = _mm_add_epi64(out[3].v, _mm_add_epi64(_mm_mul_epu32(r9 , s[4].v), _mm_add_epi64(_mm_mul_epu32(r8, s[5].v), _mm_add_epi64(_mm_mul_epu32(r7 , s[6].v), _mm_add_epi64(_mm_mul_epu32(r6, s[7].v), _mm_add_epi64(_mm_mul_epu32(r5 , s[8].v), _mm_mul_epu32(r4, s[9].v))))))); + out[4].v = _mm_add_epi64(out[4].v, _mm_add_epi64(_mm_mul_epu32(r9_2, s[5].v), _mm_add_epi64(_mm_mul_epu32(r8, s[6].v), _mm_add_epi64(_mm_mul_epu32(r7_2, s[7].v), _mm_add_epi64(_mm_mul_epu32(r6, s[8].v), _mm_mul_epu32(r5_2, s[9].v)))))); + out[5].v = _mm_add_epi64(out[5].v, _mm_add_epi64(_mm_mul_epu32(r9 , s[6].v), _mm_add_epi64(_mm_mul_epu32(r8, s[7].v), _mm_add_epi64(_mm_mul_epu32(r7 , s[8].v), _mm_mul_epu32(r6, s[9].v))))); + out[6].v = _mm_add_epi64(out[6].v, _mm_add_epi64(_mm_mul_epu32(r9_2, s[7].v), _mm_add_epi64(_mm_mul_epu32(r8, s[8].v), _mm_mul_epu32(r7_2, s[9].v)))); + out[7].v = _mm_add_epi64(out[7].v, _mm_add_epi64(_mm_mul_epu32(r9 , s[8].v), _mm_mul_epu32(r8, s[9].v))); + out[8].v = _mm_add_epi64(out[8].v, _mm_mul_epu32(r9_2, s[9].v)); + + c1 = _mm_srli_epi64(out[0].v, 26); c2 = _mm_srli_epi64(out[4].v, 26); out[0].v = _mm_and_si128(out[0].v, packedmask26.v); out[4].v = _mm_and_si128(out[4].v, packedmask26.v); out[1].v = _mm_add_epi64(out[1].v, c1); out[5].v = _mm_add_epi64(out[5].v, c2); + c1 = _mm_srli_epi64(out[1].v, 25); c2 = _mm_srli_epi64(out[5].v, 25); out[1].v = _mm_and_si128(out[1].v, packedmask25.v); out[5].v = _mm_and_si128(out[5].v, packedmask25.v); out[2].v = _mm_add_epi64(out[2].v, c1); out[6].v = _mm_add_epi64(out[6].v, c2); + c1 = _mm_srli_epi64(out[2].v, 26); c2 = _mm_srli_epi64(out[6].v, 26); out[2].v = _mm_and_si128(out[2].v, packedmask26.v); out[6].v = _mm_and_si128(out[6].v, packedmask26.v); out[3].v = _mm_add_epi64(out[3].v, c1); out[7].v = _mm_add_epi64(out[7].v, c2); + c1 = _mm_srli_epi64(out[3].v, 25); c2 = _mm_srli_epi64(out[7].v, 25); out[3].v = _mm_and_si128(out[3].v, packedmask25.v); out[7].v = _mm_and_si128(out[7].v, packedmask25.v); out[4].v = _mm_add_epi64(out[4].v, c1); out[8].v = _mm_add_epi64(out[8].v, c2); + c2 = _mm_srli_epi64(out[8].v, 26); out[8].v = _mm_and_si128(out[8].v, packedmask26.v); out[9].v = _mm_add_epi64(out[9].v, c2); + c2 = _mm_srli_epi64(out[9].v, 25); out[9].v = _mm_and_si128(out[9].v, packedmask25.v); out[0].v = _mm_add_epi64(out[0].v, _mm_mul_epu32(c2, packednineteen.v)); + c1 = _mm_srli_epi64(out[0].v, 26); c2 = _mm_srli_epi64(out[4].v, 26); out[0].v = _mm_and_si128(out[0].v, packedmask26.v); out[4].v = _mm_and_si128(out[4].v, packedmask26.v); out[1].v = _mm_add_epi64(out[1].v, c1); out[5].v = _mm_add_epi64(out[5].v, c2); +} + +DONNA_INLINE static void +curve25519_square_packed64(packedelem64 *out, const packedelem64 *r) { + xmmi r0,r1,r2,r3; + xmmi r1_2,r3_2,r4_2,r5_2,r6_2,r7_2; + xmmi d5,d6,d7,d8,d9; + xmmi c1,c2; + + r0 = r[0].v; + r1 = r[1].v; + r2 = r[2].v; + r3 = r[3].v; + + out[0].v = _mm_mul_epu32(r0, r0); + r0 = _mm_slli_epi32(r0, 1); + out[1].v = _mm_mul_epu32(r0, r1); + r1_2 = _mm_slli_epi32(r1, 1); + out[2].v = _mm_add_epi64(_mm_mul_epu32(r0, r2 ), _mm_mul_epu32(r1, r1_2)); + r1 = r1_2; + out[3].v = _mm_add_epi64(_mm_mul_epu32(r0, r3 ), _mm_mul_epu32(r1, r2 )); + r3_2 = _mm_slli_epi32(r3, 1); + out[4].v = _mm_add_epi64(_mm_mul_epu32(r0, r[4].v), _mm_add_epi64(_mm_mul_epu32(r1, r3_2 ), _mm_mul_epu32(r2, r2))); + r2 = _mm_slli_epi32(r2, 1); + out[5].v = _mm_add_epi64(_mm_mul_epu32(r0, r[5].v), _mm_add_epi64(_mm_mul_epu32(r1, r[4].v), _mm_mul_epu32(r2, r3))); + r5_2 = _mm_slli_epi32(r[5].v, 1); + out[6].v = _mm_add_epi64(_mm_mul_epu32(r0, r[6].v), _mm_add_epi64(_mm_mul_epu32(r1, r5_2 ), _mm_add_epi64(_mm_mul_epu32(r2, r[4].v), _mm_mul_epu32(r3, r3_2 )))); + r3 = r3_2; + out[7].v = _mm_add_epi64(_mm_mul_epu32(r0, r[7].v), _mm_add_epi64(_mm_mul_epu32(r1, r[6].v), _mm_add_epi64(_mm_mul_epu32(r2, r[5].v), _mm_mul_epu32(r3, r[4].v)))); + r7_2 = _mm_slli_epi32(r[7].v, 1); + out[8].v = _mm_add_epi64(_mm_mul_epu32(r0, r[8].v), _mm_add_epi64(_mm_mul_epu32(r1, r7_2 ), _mm_add_epi64(_mm_mul_epu32(r2, r[6].v), _mm_add_epi64(_mm_mul_epu32(r3, r5_2 ), _mm_mul_epu32(r[4].v, r[4].v))))); + out[9].v = _mm_add_epi64(_mm_mul_epu32(r0, r[9].v), _mm_add_epi64(_mm_mul_epu32(r1, r[8].v), _mm_add_epi64(_mm_mul_epu32(r2, r[7].v), _mm_add_epi64(_mm_mul_epu32(r3, r[6].v), _mm_mul_epu32(r[4].v, r5_2 ))))); + + d5 = _mm_mul_epu32(r[5].v, packedthirtyeight.v); + d6 = _mm_mul_epu32(r[6].v, packednineteen.v); + d7 = _mm_mul_epu32(r[7].v, packedthirtyeight.v); + d8 = _mm_mul_epu32(r[8].v, packednineteen.v); + d9 = _mm_mul_epu32(r[9].v, packedthirtyeight.v); + + r4_2 = _mm_slli_epi32(r[4].v, 1); + r6_2 = _mm_slli_epi32(r[6].v, 1); + out[0].v = _mm_add_epi64(out[0].v, _mm_add_epi64(_mm_mul_epu32(d9, r1 ), _mm_add_epi64(_mm_mul_epu32(d8, r2 ), _mm_add_epi64(_mm_mul_epu32(d7, r3 ), _mm_add_epi64(_mm_mul_epu32(d6, r4_2), _mm_mul_epu32(d5, r[5].v)))))); + out[1].v = _mm_add_epi64(out[1].v, _mm_add_epi64(_mm_mul_epu32(d9, _mm_srli_epi32(r2, 1)), _mm_add_epi64(_mm_mul_epu32(d8, r3 ), _mm_add_epi64(_mm_mul_epu32(d7, r[4].v), _mm_mul_epu32(d6, r5_2 ))))); + out[2].v = _mm_add_epi64(out[2].v, _mm_add_epi64(_mm_mul_epu32(d9, r3 ), _mm_add_epi64(_mm_mul_epu32(d8, r4_2), _mm_add_epi64(_mm_mul_epu32(d7, r5_2 ), _mm_mul_epu32(d6, r[6].v))))); + out[3].v = _mm_add_epi64(out[3].v, _mm_add_epi64(_mm_mul_epu32(d9, r[4].v ), _mm_add_epi64(_mm_mul_epu32(d8, r5_2), _mm_mul_epu32(d7, r[6].v)))); + out[4].v = _mm_add_epi64(out[4].v, _mm_add_epi64(_mm_mul_epu32(d9, r5_2 ), _mm_add_epi64(_mm_mul_epu32(d8, r6_2), _mm_mul_epu32(d7, r[7].v)))); + out[5].v = _mm_add_epi64(out[5].v, _mm_add_epi64(_mm_mul_epu32(d9, r[6].v ), _mm_mul_epu32(d8, r7_2 ))); + out[6].v = _mm_add_epi64(out[6].v, _mm_add_epi64(_mm_mul_epu32(d9, r7_2 ), _mm_mul_epu32(d8, r[8].v))); + out[7].v = _mm_add_epi64(out[7].v, _mm_mul_epu32(d9, r[8].v)); + out[8].v = _mm_add_epi64(out[8].v, _mm_mul_epu32(d9, r[9].v)); + + c1 = _mm_srli_epi64(out[0].v, 26); c2 = _mm_srli_epi64(out[4].v, 26); out[0].v = _mm_and_si128(out[0].v, packedmask26.v); out[4].v = _mm_and_si128(out[4].v, packedmask26.v); out[1].v = _mm_add_epi64(out[1].v, c1); out[5].v = _mm_add_epi64(out[5].v, c2); + c1 = _mm_srli_epi64(out[1].v, 25); c2 = _mm_srli_epi64(out[5].v, 25); out[1].v = _mm_and_si128(out[1].v, packedmask25.v); out[5].v = _mm_and_si128(out[5].v, packedmask25.v); out[2].v = _mm_add_epi64(out[2].v, c1); out[6].v = _mm_add_epi64(out[6].v, c2); + c1 = _mm_srli_epi64(out[2].v, 26); c2 = _mm_srli_epi64(out[6].v, 26); out[2].v = _mm_and_si128(out[2].v, packedmask26.v); out[6].v = _mm_and_si128(out[6].v, packedmask26.v); out[3].v = _mm_add_epi64(out[3].v, c1); out[7].v = _mm_add_epi64(out[7].v, c2); + c1 = _mm_srli_epi64(out[3].v, 25); c2 = _mm_srli_epi64(out[7].v, 25); out[3].v = _mm_and_si128(out[3].v, packedmask25.v); out[7].v = _mm_and_si128(out[7].v, packedmask25.v); out[4].v = _mm_add_epi64(out[4].v, c1); out[8].v = _mm_add_epi64(out[8].v, c2); + c2 = _mm_srli_epi64(out[8].v, 26); out[8].v = _mm_and_si128(out[8].v, packedmask26.v); out[9].v = _mm_add_epi64(out[9].v, c2); + c2 = _mm_srli_epi64(out[9].v, 25); out[9].v = _mm_and_si128(out[9].v, packedmask25.v); out[0].v = _mm_add_epi64(out[0].v, _mm_mul_epu32(c2, packednineteen.v)); + c1 = _mm_srli_epi64(out[0].v, 26); c2 = _mm_srli_epi64(out[4].v, 26); out[0].v = _mm_and_si128(out[0].v, packedmask26.v); out[4].v = _mm_and_si128(out[4].v, packedmask26.v); out[1].v = _mm_add_epi64(out[1].v, c1); out[5].v = _mm_add_epi64(out[5].v, c2); +} + + +/* Take a little-endian, 32-byte number and expand it into polynomial form */ +static void +curve25519_expand(bignum25519 out, const unsigned char in[32]) { + uint32_t x0,x1,x2,x3,x4,x5,x6,x7; + + x0 = *(uint32_t *)(in + 0); + x1 = *(uint32_t *)(in + 4); + x2 = *(uint32_t *)(in + 8); + x3 = *(uint32_t *)(in + 12); + x4 = *(uint32_t *)(in + 16); + x5 = *(uint32_t *)(in + 20); + x6 = *(uint32_t *)(in + 24); + x7 = *(uint32_t *)(in + 28); + + out[0] = ( x0 ) & 0x3ffffff; + out[1] = ((((uint64_t)x1 << 32) | x0) >> 26) & 0x1ffffff; + out[2] = ((((uint64_t)x2 << 32) | x1) >> 19) & 0x3ffffff; + out[3] = ((((uint64_t)x3 << 32) | x2) >> 13) & 0x1ffffff; + out[4] = (( x3) >> 6) & 0x3ffffff; + out[5] = ( x4 ) & 0x1ffffff; + out[6] = ((((uint64_t)x5 << 32) | x4) >> 25) & 0x3ffffff; + out[7] = ((((uint64_t)x6 << 32) | x5) >> 19) & 0x1ffffff; + out[8] = ((((uint64_t)x7 << 32) | x6) >> 12) & 0x3ffffff; + out[9] = (( x7) >> 6) & 0x1ffffff; + out[10] = 0; + out[11] = 0; +} + +/* Take a fully reduced polynomial form number and contract it into a + * little-endian, 32-byte array + */ +static void +curve25519_contract(unsigned char out[32], const bignum25519 in) { + bignum25519 ALIGN(16) f; + curve25519_copy(f, in); + + #define carry_pass() \ + f[1] += f[0] >> 26; f[0] &= 0x3ffffff; \ + f[2] += f[1] >> 25; f[1] &= 0x1ffffff; \ + f[3] += f[2] >> 26; f[2] &= 0x3ffffff; \ + f[4] += f[3] >> 25; f[3] &= 0x1ffffff; \ + f[5] += f[4] >> 26; f[4] &= 0x3ffffff; \ + f[6] += f[5] >> 25; f[5] &= 0x1ffffff; \ + f[7] += f[6] >> 26; f[6] &= 0x3ffffff; \ + f[8] += f[7] >> 25; f[7] &= 0x1ffffff; \ + f[9] += f[8] >> 26; f[8] &= 0x3ffffff; + + #define carry_pass_full() \ + carry_pass() \ + f[0] += 19 * (f[9] >> 25); f[9] &= 0x1ffffff; + + #define carry_pass_final() \ + carry_pass() \ + f[9] &= 0x1ffffff; + + carry_pass_full() + carry_pass_full() + + /* now t is between 0 and 2^255-1, properly carried. */ + /* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */ + f[0] += 19; + carry_pass_full() + + /* now between 19 and 2^255-1 in both cases, and offset by 19. */ + f[0] += (1 << 26) - 19; + f[1] += (1 << 25) - 1; + f[2] += (1 << 26) - 1; + f[3] += (1 << 25) - 1; + f[4] += (1 << 26) - 1; + f[5] += (1 << 25) - 1; + f[6] += (1 << 26) - 1; + f[7] += (1 << 25) - 1; + f[8] += (1 << 26) - 1; + f[9] += (1 << 25) - 1; + + /* now between 2^255 and 2^256-20, and offset by 2^255. */ + carry_pass_final() + + #undef carry_pass + #undef carry_full + #undef carry_final + + f[1] <<= 2; + f[2] <<= 3; + f[3] <<= 5; + f[4] <<= 6; + f[6] <<= 1; + f[7] <<= 3; + f[8] <<= 4; + f[9] <<= 6; + + #define F(i, s) \ + out[s+0] |= (unsigned char )(f[i] & 0xff); \ + out[s+1] = (unsigned char )((f[i] >> 8) & 0xff); \ + out[s+2] = (unsigned char )((f[i] >> 16) & 0xff); \ + out[s+3] = (unsigned char )((f[i] >> 24) & 0xff); + + out[0] = 0; + out[16] = 0; + F(0,0); + F(1,3); + F(2,6); + F(3,9); + F(4,12); + F(5,16); + F(6,19); + F(7,22); + F(8,25); + F(9,28); + #undef F +} + +/* if (iswap) swap(a, b) */ +DONNA_INLINE static void +curve25519_swap_conditional(bignum25519 a, bignum25519 b, uint32_t iswap) { + const uint32_t swap = (uint32_t)(-(int32_t)iswap); + xmmi a0,a1,a2,b0,b1,b2,x0,x1,x2; + xmmi mask = _mm_cvtsi32_si128(swap); + mask = _mm_shuffle_epi32(mask, 0); + a0 = _mm_load_si128((xmmi *)a + 0); + a1 = _mm_load_si128((xmmi *)a + 1); + b0 = _mm_load_si128((xmmi *)b + 0); + b1 = _mm_load_si128((xmmi *)b + 1); + b0 = _mm_xor_si128(a0, b0); + b1 = _mm_xor_si128(a1, b1); + x0 = _mm_and_si128(b0, mask); + x1 = _mm_and_si128(b1, mask); + x0 = _mm_xor_si128(x0, a0); + x1 = _mm_xor_si128(x1, a1); + a0 = _mm_xor_si128(x0, b0); + a1 = _mm_xor_si128(x1, b1); + _mm_store_si128((xmmi *)a + 0, x0); + _mm_store_si128((xmmi *)a + 1, x1); + _mm_store_si128((xmmi *)b + 0, a0); + _mm_store_si128((xmmi *)b + 1, a1); + + a2 = _mm_load_si128((xmmi *)a + 2); + b2 = _mm_load_si128((xmmi *)b + 2); + b2 = _mm_xor_si128(a2, b2); + x2 = _mm_and_si128(b2, mask); + x2 = _mm_xor_si128(x2, a2); + a2 = _mm_xor_si128(x2, b2); + _mm_store_si128((xmmi *)b + 2, a2); + _mm_store_si128((xmmi *)a + 2, x2); +} + +/* out = (flag) ? out : in */ +DONNA_INLINE static void +curve25519_move_conditional_bytes(uint8_t out[96], const uint8_t in[96], uint32_t flag) { + xmmi a0,a1,a2,a3,a4,a5,b0,b1,b2,b3,b4,b5; + const uint32_t nb = flag - 1; + xmmi masknb = _mm_shuffle_epi32(_mm_cvtsi32_si128(nb),0); + a0 = _mm_load_si128((xmmi *)in + 0); + a1 = _mm_load_si128((xmmi *)in + 1); + a2 = _mm_load_si128((xmmi *)in + 2); + b0 = _mm_load_si128((xmmi *)out + 0); + b1 = _mm_load_si128((xmmi *)out + 1); + b2 = _mm_load_si128((xmmi *)out + 2); + a0 = _mm_andnot_si128(masknb, a0); + a1 = _mm_andnot_si128(masknb, a1); + a2 = _mm_andnot_si128(masknb, a2); + b0 = _mm_and_si128(masknb, b0); + b1 = _mm_and_si128(masknb, b1); + b2 = _mm_and_si128(masknb, b2); + a0 = _mm_or_si128(a0, b0); + a1 = _mm_or_si128(a1, b1); + a2 = _mm_or_si128(a2, b2); + _mm_store_si128((xmmi*)out + 0, a0); + _mm_store_si128((xmmi*)out + 1, a1); + _mm_store_si128((xmmi*)out + 2, a2); + + a3 = _mm_load_si128((xmmi *)in + 3); + a4 = _mm_load_si128((xmmi *)in + 4); + a5 = _mm_load_si128((xmmi *)in + 5); + b3 = _mm_load_si128((xmmi *)out + 3); + b4 = _mm_load_si128((xmmi *)out + 4); + b5 = _mm_load_si128((xmmi *)out + 5); + a3 = _mm_andnot_si128(masknb, a3); + a4 = _mm_andnot_si128(masknb, a4); + a5 = _mm_andnot_si128(masknb, a5); + b3 = _mm_and_si128(masknb, b3); + b4 = _mm_and_si128(masknb, b4); + b5 = _mm_and_si128(masknb, b5); + a3 = _mm_or_si128(a3, b3); + a4 = _mm_or_si128(a4, b4); + a5 = _mm_or_si128(a5, b5); + _mm_store_si128((xmmi*)out + 3, a3); + _mm_store_si128((xmmi*)out + 4, a4); + _mm_store_si128((xmmi*)out + 5, a5); +} + diff --git a/src/ext/ed25519/donna/ed25519-donna-32bit-sse2.h b/src/ext/ed25519/donna/ed25519-donna-32bit-sse2.h new file mode 100644 index 0000000..db04a13 --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-donna-32bit-sse2.h @@ -0,0 +1,513 @@ +#if defined(ED25519_GCC_32BIT_SSE_CHOOSE) + +#define HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS + +DONNA_NOINLINE static void +ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) { + int32_t breg = (int32_t)b; + uint32_t sign = (uint32_t)breg >> 31; + uint32_t mask = ~(sign - 1); + uint32_t u = (breg + mask) ^ mask; + + __asm__ __volatile__ ( + /* ysubx+xaddy */ + "movl %0, %%eax ;\n" + "movd %%eax, %%xmm6 ;\n" + "pshufd $0x00, %%xmm6, %%xmm6 ;\n" + "pxor %%xmm0, %%xmm0 ;\n" + "pxor %%xmm1, %%xmm1 ;\n" + "pxor %%xmm2, %%xmm2 ;\n" + "pxor %%xmm3, %%xmm3 ;\n" + + /* 0 */ + "movl $0, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movl $1, %%ecx ;\n" + "movd %%ecx, %%xmm4 ;\n" + "pxor %%xmm5, %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm0 ;\n" + "por %%xmm5, %%xmm1 ;\n" + "por %%xmm4, %%xmm2 ;\n" + "por %%xmm5, %%xmm3 ;\n" + + /* 1 */ + "movl $1, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 0(%1), %%xmm4 ;\n" + "movdqa 16(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm0 ;\n" + "por %%xmm5, %%xmm1 ;\n" + "movdqa 32(%1), %%xmm4 ;\n" + "movdqa 48(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm2 ;\n" + "por %%xmm5, %%xmm3 ;\n" + + /* 2 */ + "movl $2, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 96(%1), %%xmm4 ;\n" + "movdqa 112(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm0 ;\n" + "por %%xmm5, %%xmm1 ;\n" + "movdqa 128(%1), %%xmm4 ;\n" + "movdqa 144(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm2 ;\n" + "por %%xmm5, %%xmm3 ;\n" + + /* 3 */ + "movl $3, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 192(%1), %%xmm4 ;\n" + "movdqa 208(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm0 ;\n" + "por %%xmm5, %%xmm1 ;\n" + "movdqa 224(%1), %%xmm4 ;\n" + "movdqa 240(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm2 ;\n" + "por %%xmm5, %%xmm3 ;\n" + + /* 4 */ + "movl $4, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 288(%1), %%xmm4 ;\n" + "movdqa 304(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm0 ;\n" + "por %%xmm5, %%xmm1 ;\n" + "movdqa 320(%1), %%xmm4 ;\n" + "movdqa 336(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm2 ;\n" + "por %%xmm5, %%xmm3 ;\n" + + /* 5 */ + "movl $5, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 384(%1), %%xmm4 ;\n" + "movdqa 400(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm0 ;\n" + "por %%xmm5, %%xmm1 ;\n" + "movdqa 416(%1), %%xmm4 ;\n" + "movdqa 432(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm2 ;\n" + "por %%xmm5, %%xmm3 ;\n" + + /* 6 */ + "movl $6, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 480(%1), %%xmm4 ;\n" + "movdqa 496(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm0 ;\n" + "por %%xmm5, %%xmm1 ;\n" + "movdqa 512(%1), %%xmm4 ;\n" + "movdqa 528(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm2 ;\n" + "por %%xmm5, %%xmm3 ;\n" + + /* 7 */ + "movl $7, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 576(%1), %%xmm4 ;\n" + "movdqa 592(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm0 ;\n" + "por %%xmm5, %%xmm1 ;\n" + "movdqa 608(%1), %%xmm4 ;\n" + "movdqa 624(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm2 ;\n" + "por %%xmm5, %%xmm3 ;\n" + + /* 8 */ + "movl $8, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 672(%1), %%xmm4 ;\n" + "movdqa 688(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm0 ;\n" + "por %%xmm5, %%xmm1 ;\n" + "movdqa 704(%1), %%xmm4 ;\n" + "movdqa 720(%1), %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "por %%xmm4, %%xmm2 ;\n" + "por %%xmm5, %%xmm3 ;\n" + + /* conditional swap based on sign */ + "movl %3, %%ecx ;\n" + "movl %2, %%eax ;\n" + "xorl $1, %%ecx ;\n" + "movd %%ecx, %%xmm6 ;\n" + "pxor %%xmm7, %%xmm7 ;\n" + "pshufd $0x00, %%xmm6, %%xmm6 ;\n" + "pxor %%xmm0, %%xmm2 ;\n" + "pxor %%xmm1, %%xmm3 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa %%xmm2, %%xmm4 ;\n" + "movdqa %%xmm3, %%xmm5 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "pand %%xmm7, %%xmm5 ;\n" + "pxor %%xmm4, %%xmm0 ;\n" + "pxor %%xmm5, %%xmm1 ;\n" + "pxor %%xmm0, %%xmm2 ;\n" + "pxor %%xmm1, %%xmm3 ;\n" + + /* store ysubx */ + "movd %%xmm0, %%ecx ;\n" + "movl %%ecx, %%edx ;\n" + "pshufd $0x39, %%xmm0, %%xmm0 ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 0(%%eax) ;\n" + "movd %%xmm0, %%ecx ;\n" + "pshufd $0x39, %%xmm0, %%xmm0 ;\n" + "shrdl $26, %%ecx, %%edx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "movl %%edx, 4(%%eax) ;\n" + "movd %%xmm0, %%edx ;\n" + "pshufd $0x39, %%xmm0, %%xmm0 ;\n" + "shrdl $19, %%edx, %%ecx ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 8(%%eax) ;\n" + "movd %%xmm0, %%ecx ;\n" + "shrdl $13, %%ecx, %%edx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "movl %%edx, 12(%%eax) ;\n" + "movd %%xmm1, %%edx ;\n" + "pshufd $0x39, %%xmm1, %%xmm1 ;\n" + "shrl $6, %%ecx ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 16(%%eax) ;\n" + "movl %%edx, %%ecx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "movl %%edx, 20(%%eax) ;\n" + "movd %%xmm1, %%edx ;\n" + "pshufd $0x39, %%xmm1, %%xmm1 ;\n" + "shrdl $25, %%edx, %%ecx ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 24(%%eax) ;\n" + "movd %%xmm1, %%ecx ;\n" + "pshufd $0x39, %%xmm1, %%xmm1 ;\n" + "shrdl $19, %%ecx, %%edx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "movl %%edx, 28(%%eax) ;\n" + "movd %%xmm1, %%edx ;\n" + "shrdl $12, %%edx, %%ecx ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 32(%%eax) ;\n" + "shrl $6, %%edx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "xorl %%ecx, %%ecx ;\n" + "movl %%edx, 36(%%eax) ;\n" + "movl %%ecx, 40(%%eax) ;\n" + "movl %%ecx, 44(%%eax) ;\n" + + /* store xaddy */ + "addl $48, %%eax ;\n" + "movdqa %%xmm2, %%xmm0 ;\n" + "movdqa %%xmm3, %%xmm1 ;\n" + "movd %%xmm0, %%ecx ;\n" + "movl %%ecx, %%edx ;\n" + "pshufd $0x39, %%xmm0, %%xmm0 ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 0(%%eax) ;\n" + "movd %%xmm0, %%ecx ;\n" + "pshufd $0x39, %%xmm0, %%xmm0 ;\n" + "shrdl $26, %%ecx, %%edx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "movl %%edx, 4(%%eax) ;\n" + "movd %%xmm0, %%edx ;\n" + "pshufd $0x39, %%xmm0, %%xmm0 ;\n" + "shrdl $19, %%edx, %%ecx ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 8(%%eax) ;\n" + "movd %%xmm0, %%ecx ;\n" + "shrdl $13, %%ecx, %%edx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "movl %%edx, 12(%%eax) ;\n" + "movd %%xmm1, %%edx ;\n" + "pshufd $0x39, %%xmm1, %%xmm1 ;\n" + "shrl $6, %%ecx ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 16(%%eax) ;\n" + "movl %%edx, %%ecx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "movl %%edx, 20(%%eax) ;\n" + "movd %%xmm1, %%edx ;\n" + "pshufd $0x39, %%xmm1, %%xmm1 ;\n" + "shrdl $25, %%edx, %%ecx ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 24(%%eax) ;\n" + "movd %%xmm1, %%ecx ;\n" + "pshufd $0x39, %%xmm1, %%xmm1 ;\n" + "shrdl $19, %%ecx, %%edx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "movl %%edx, 28(%%eax) ;\n" + "movd %%xmm1, %%edx ;\n" + "shrdl $12, %%edx, %%ecx ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 32(%%eax) ;\n" + "shrl $6, %%edx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "xorl %%ecx, %%ecx ;\n" + "movl %%edx, 36(%%eax) ;\n" + "movl %%ecx, 40(%%eax) ;\n" + "movl %%ecx, 44(%%eax) ;\n" + + /* t2d */ + "movl %0, %%eax ;\n" + "movd %%eax, %%xmm6 ;\n" + "pshufd $0x00, %%xmm6, %%xmm6 ;\n" + "pxor %%xmm0, %%xmm0 ;\n" + "pxor %%xmm1, %%xmm1 ;\n" + + /* 0 */ + "movl $0, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "pxor %%xmm0, %%xmm0 ;\n" + "pxor %%xmm1, %%xmm1 ;\n" + + /* 1 */ + "movl $1, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 64(%1), %%xmm3 ;\n" + "movdqa 80(%1), %%xmm4 ;\n" + "pand %%xmm7, %%xmm3 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "por %%xmm3, %%xmm0 ;\n" + "por %%xmm4, %%xmm1 ;\n" + + /* 2 */ + "movl $2, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 160(%1), %%xmm3 ;\n" + "movdqa 176(%1), %%xmm4 ;\n" + "pand %%xmm7, %%xmm3 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "por %%xmm3, %%xmm0 ;\n" + "por %%xmm4, %%xmm1 ;\n" + + /* 3 */ + "movl $3, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 256(%1), %%xmm3 ;\n" + "movdqa 272(%1), %%xmm4 ;\n" + "pand %%xmm7, %%xmm3 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "por %%xmm3, %%xmm0 ;\n" + "por %%xmm4, %%xmm1 ;\n" + + /* 4 */ + "movl $4, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 352(%1), %%xmm3 ;\n" + "movdqa 368(%1), %%xmm4 ;\n" + "pand %%xmm7, %%xmm3 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "por %%xmm3, %%xmm0 ;\n" + "por %%xmm4, %%xmm1 ;\n" + + /* 5 */ + "movl $5, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 448(%1), %%xmm3 ;\n" + "movdqa 464(%1), %%xmm4 ;\n" + "pand %%xmm7, %%xmm3 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "por %%xmm3, %%xmm0 ;\n" + "por %%xmm4, %%xmm1 ;\n" + + /* 6 */ + "movl $6, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 544(%1), %%xmm3 ;\n" + "movdqa 560(%1), %%xmm4 ;\n" + "pand %%xmm7, %%xmm3 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "por %%xmm3, %%xmm0 ;\n" + "por %%xmm4, %%xmm1 ;\n" + + /* 7 */ + "movl $7, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 640(%1), %%xmm3 ;\n" + "movdqa 656(%1), %%xmm4 ;\n" + "pand %%xmm7, %%xmm3 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "por %%xmm3, %%xmm0 ;\n" + "por %%xmm4, %%xmm1 ;\n" + + /* 8 */ + "movl $8, %%eax ;\n" + "movd %%eax, %%xmm7 ;\n" + "pshufd $0x00, %%xmm7, %%xmm7 ;\n" + "pcmpeqd %%xmm6, %%xmm7 ;\n" + "movdqa 736(%1), %%xmm3 ;\n" + "movdqa 752(%1), %%xmm4 ;\n" + "pand %%xmm7, %%xmm3 ;\n" + "pand %%xmm7, %%xmm4 ;\n" + "por %%xmm3, %%xmm0 ;\n" + "por %%xmm4, %%xmm1 ;\n" + + /* store t2d */ + "movl %2, %%eax ;\n" + "addl $96, %%eax ;\n" + "movd %%xmm0, %%ecx ;\n" + "movl %%ecx, %%edx ;\n" + "pshufd $0x39, %%xmm0, %%xmm0 ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 0(%%eax) ;\n" + "movd %%xmm0, %%ecx ;\n" + "pshufd $0x39, %%xmm0, %%xmm0 ;\n" + "shrdl $26, %%ecx, %%edx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "movl %%edx, 4(%%eax) ;\n" + "movd %%xmm0, %%edx ;\n" + "pshufd $0x39, %%xmm0, %%xmm0 ;\n" + "shrdl $19, %%edx, %%ecx ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 8(%%eax) ;\n" + "movd %%xmm0, %%ecx ;\n" + "shrdl $13, %%ecx, %%edx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "movl %%edx, 12(%%eax) ;\n" + "movd %%xmm1, %%edx ;\n" + "pshufd $0x39, %%xmm1, %%xmm1 ;\n" + "shrl $6, %%ecx ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 16(%%eax) ;\n" + "movl %%edx, %%ecx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "movl %%edx, 20(%%eax) ;\n" + "movd %%xmm1, %%edx ;\n" + "pshufd $0x39, %%xmm1, %%xmm1 ;\n" + "shrdl $25, %%edx, %%ecx ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 24(%%eax) ;\n" + "movd %%xmm1, %%ecx ;\n" + "pshufd $0x39, %%xmm1, %%xmm1 ;\n" + "shrdl $19, %%ecx, %%edx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "movl %%edx, 28(%%eax) ;\n" + "movd %%xmm1, %%edx ;\n" + "movd %%xmm1, %%edx ;\n" + "shrdl $12, %%edx, %%ecx ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "movl %%ecx, 32(%%eax) ;\n" + "shrl $6, %%edx ;\n" + "andl $0x1ffffff, %%edx ;\n" + "xorl %%ecx, %%ecx ;\n" + "movl %%edx, 36(%%eax) ;\n" + "movl %%ecx, 40(%%eax) ;\n" + "movl %%ecx, 44(%%eax) ;\n" + "movdqa 0(%%eax), %%xmm0 ;\n" + "movdqa 16(%%eax), %%xmm1 ;\n" + "movdqa 32(%%eax), %%xmm2 ;\n" + + /* conditionally negate t2d */ + + /* set up 2p in to 3/4 */ + "movl $0x7ffffda, %%ecx ;\n" + "movl $0x3fffffe, %%edx ;\n" + "movd %%ecx, %%xmm3 ;\n" + "movd %%edx, %%xmm5 ;\n" + "movl $0x7fffffe, %%ecx ;\n" + "movd %%ecx, %%xmm4 ;\n" + "punpckldq %%xmm5, %%xmm3 ;\n" + "punpckldq %%xmm5, %%xmm4 ;\n" + "punpcklqdq %%xmm4, %%xmm3 ;\n" + "movdqa %%xmm4, %%xmm5 ;\n" + "punpcklqdq %%xmm4, %%xmm4 ;\n" + + /* subtract and conditionally move */ + "movl %3, %%ecx ;\n" + "sub $1, %%ecx ;\n" + "movd %%ecx, %%xmm6 ;\n" + "pshufd $0x00, %%xmm6, %%xmm6 ;\n" + "movdqa %%xmm6, %%xmm7 ;\n" + "psubd %%xmm0, %%xmm3 ;\n" + "psubd %%xmm1, %%xmm4 ;\n" + "psubd %%xmm2, %%xmm5 ;\n" + "pand %%xmm6, %%xmm0 ;\n" + "pand %%xmm6, %%xmm1 ;\n" + "pand %%xmm6, %%xmm2 ;\n" + "pandn %%xmm3, %%xmm6 ;\n" + "movdqa %%xmm7, %%xmm3 ;\n" + "pandn %%xmm4, %%xmm7 ;\n" + "pandn %%xmm5, %%xmm3 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm3, %%xmm2 ;\n" + + /* store */ + "movdqa %%xmm0, 0(%%eax) ;\n" + "movdqa %%xmm1, 16(%%eax) ;\n" + "movdqa %%xmm2, 32(%%eax) ;\n" + : + : "m"(u), "r"(&table[pos * 8]), "m"(t), "m"(sign) /* %0 = u, %1 = table, %2 = t, %3 = sign */ + : "%eax", "%ecx", "%edx", "%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "cc", "memory" + ); +} + +#endif /* defined(ED25519_GCC_32BIT_SSE_CHOOSE) */ + diff --git a/src/ext/ed25519/donna/ed25519-donna-32bit-tables.h b/src/ext/ed25519/donna/ed25519-donna-32bit-tables.h new file mode 100644 index 0000000..c977c26 --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-donna-32bit-tables.h @@ -0,0 +1,61 @@ +static const ge25519 ALIGN(16) ge25519_basepoint = { + {0x0325d51a,0x018b5823,0x00f6592a,0x0104a92d,0x01a4b31d,0x01d6dc5c,0x027118fe,0x007fd814,0x013cd6e5,0x0085a4db}, + {0x02666658,0x01999999,0x00cccccc,0x01333333,0x01999999,0x00666666,0x03333333,0x00cccccc,0x02666666,0x01999999}, + {0x00000001,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000}, + {0x01b7dda3,0x01a2ace9,0x025eadbb,0x0003ba8a,0x0083c27e,0x00abe37d,0x01274732,0x00ccacdd,0x00fd78b7,0x019e1d7c} +}; + +/* + d +*/ + +static const bignum25519 ALIGN(16) ge25519_ecd = { + 0x035978a3,0x00d37284,0x03156ebd,0x006a0a0e,0x0001c029,0x0179e898,0x03a03cbb,0x01ce7198,0x02e2b6ff,0x01480db3 +}; + +static const bignum25519 ALIGN(16) ge25519_ec2d = { + 0x02b2f159,0x01a6e509,0x022add7a,0x00d4141d,0x00038052,0x00f3d130,0x03407977,0x019ce331,0x01c56dff,0x00901b67 +}; + +/* + sqrt(-1) +*/ + +static const bignum25519 ALIGN(16) ge25519_sqrtneg1 = { + 0x020ea0b0,0x0186c9d2,0x008f189d,0x0035697f,0x00bd0c60,0x01fbd7a7,0x02804c9e,0x01e16569,0x0004fc1d,0x00ae0c92 +}; + +static const ge25519_niels ALIGN(16) ge25519_niels_sliding_multiples[32] = { + {{0x0340913e,0x000e4175,0x03d673a2,0x002e8a05,0x03f4e67c,0x008f8a09,0x00c21a34,0x004cf4b8,0x01298f81,0x0113f4be},{0x018c3b85,0x0124f1bd,0x01c325f7,0x0037dc60,0x033e4cb7,0x003d42c2,0x01a44c32,0x014ca4e1,0x03a33d4b,0x001f3e74},{0x037aaa68,0x00448161,0x0093d579,0x011e6556,0x009b67a0,0x0143598c,0x01bee5ee,0x00b50b43,0x0289f0c6,0x01bc45ed}}, + {{0x00fcd265,0x0047fa29,0x034faacc,0x01ef2e0d,0x00ef4d4f,0x014bd6bd,0x00f98d10,0x014c5026,0x007555bd,0x00aae456},{0x00ee9730,0x016c2a13,0x017155e4,0x01874432,0x00096a10,0x01016732,0x01a8014f,0x011e9823,0x01b9a80f,0x01e85938},{0x01d0d889,0x01a4cfc3,0x034c4295,0x0110e1ae,0x0162508c,0x00f2db4c,0x0072a2c6,0x0098da2e,0x02f12b9b,0x0168a09a}}, + {{0x0047d6ba,0x0060b0e9,0x0136eff2,0x008a5939,0x03540053,0x0064a087,0x02788e5c,0x00be7c67,0x033eb1b5,0x005529f9},{0x00a5bb33,0x00af1102,0x01a05442,0x001e3af7,0x02354123,0x00bfec44,0x01f5862d,0x00dd7ba3,0x03146e20,0x00a51733},{0x012a8285,0x00f6fc60,0x023f9797,0x003e85ee,0x009c3820,0x01bda72d,0x01b3858d,0x00d35683,0x0296b3bb,0x010eaaf9}}, + {{0x023221b1,0x01cb26aa,0x0074f74d,0x0099ddd1,0x01b28085,0x00192c3a,0x013b27c9,0x00fc13bd,0x01d2e531,0x0075bb75},{0x004ea3bf,0x00973425,0x001a4d63,0x01d59cee,0x01d1c0d4,0x00542e49,0x01294114,0x004fce36,0x029283c9,0x01186fa9},{0x01b8b3a2,0x00db7200,0x00935e30,0x003829f5,0x02cc0d7d,0x0077adf3,0x0220dd2c,0x0014ea53,0x01c6a0f9,0x01ea7eec}}, + {{0x039d8064,0x01885f80,0x00337e6d,0x01b7a902,0x02628206,0x015eb044,0x01e30473,0x0191f2d9,0x011fadc9,0x01270169},{0x02a8632f,0x0199e2a9,0x00d8b365,0x017a8de2,0x02994279,0x0086f5b5,0x0119e4e3,0x01eb39d6,0x0338add7,0x00d2e7b4},{0x0045af1b,0x013a2fe4,0x0245e0d6,0x014538ce,0x038bfe0f,0x01d4cf16,0x037e14c9,0x0160d55e,0x0021b008,0x01cf05c8}}, + {{0x01864348,0x01d6c092,0x0070262b,0x014bb844,0x00fb5acd,0x008deb95,0x003aaab5,0x00eff474,0x00029d5c,0x0062ad66},{0x02802ade,0x01c02122,0x01c4e5f7,0x00781181,0x039767fb,0x01703406,0x0342388b,0x01f5e227,0x022546d8,0x0109d6ab},{0x016089e9,0x00cb317f,0x00949b05,0x01099417,0x000c7ad2,0x011a8622,0x0088ccda,0x01290886,0x022b53df,0x00f71954}}, + {{0x027fbf93,0x01c04ecc,0x01ed6a0d,0x004cdbbb,0x02bbf3af,0x00ad5968,0x01591955,0x0094f3a2,0x02d17602,0x00099e20},{0x02007f6d,0x003088a8,0x03db77ee,0x00d5ade6,0x02fe12ce,0x0107ba07,0x0107097d,0x00482a6f,0x02ec346f,0x008d3f5f},{0x032ea378,0x0028465c,0x028e2a6c,0x018efc6e,0x0090df9a,0x01a7e533,0x039bfc48,0x010c745d,0x03daa097,0x0125ee9b}}, + {{0x028ccf0b,0x00f36191,0x021ac081,0x012154c8,0x034e0a6e,0x01b25192,0x00180403,0x01d7eea1,0x00218d05,0x010ed735},{0x03cfeaa0,0x01b300c4,0x008da499,0x0068c4e1,0x0219230a,0x01f2d4d0,0x02defd60,0x00e565b7,0x017f12de,0x018788a4},{0x03d0b516,0x009d8be6,0x03ddcbb3,0x0071b9fe,0x03ace2bd,0x01d64270,0x032d3ec9,0x01084065,0x0210ae4d,0x01447584}}, + {{0x0020de87,0x00e19211,0x01b68102,0x00b5ac97,0x022873c0,0x01942d25,0x01271394,0x0102073f,0x02fe2482,0x01c69ff9},{0x010e9d81,0x019dbbe5,0x0089f258,0x006e06b8,0x02951883,0x018f1248,0x019b3237,0x00bc7553,0x024ddb85,0x01b4c964},{0x01c8c854,0x0060ae29,0x01406d8e,0x01cff2f9,0x00cff451,0x01778d0c,0x03ac8c41,0x01552e59,0x036559ee,0x011d1b12}}, + {{0x00741147,0x0151b219,0x01092690,0x00e877e6,0x01f4d6bb,0x0072a332,0x01cd3b03,0x00dadff2,0x0097db5e,0x0086598d},{0x01c69a2b,0x01decf1b,0x02c2fa6e,0x013b7c4f,0x037beac8,0x013a16b5,0x028e7bda,0x01f6e8ac,0x01e34fe9,0x01726947},{0x01f10e67,0x003c73de,0x022b7ea2,0x010f32c2,0x03ff776a,0x00142277,0x01d38b88,0x00776138,0x03c60822,0x01201140}}, + {{0x0236d175,0x0008748e,0x03c6476d,0x013f4cdc,0x02eed02a,0x00838a47,0x032e7210,0x018bcbb3,0x00858de4,0x01dc7826},{0x00a37fc7,0x0127b40b,0x01957884,0x011d30ad,0x02816683,0x016e0e23,0x00b76be4,0x012db115,0x02516506,0x0154ce62},{0x00451edf,0x00bd749e,0x03997342,0x01cc2c4c,0x00eb6975,0x01a59508,0x03a516cf,0x00c228ef,0x0168ff5a,0x01697b47}}, + {{0x00527359,0x01783156,0x03afd75c,0x00ce56dc,0x00e4b970,0x001cabe9,0x029e0f6d,0x0188850c,0x0135fefd,0x00066d80},{0x02150e83,0x01448abf,0x02bb0232,0x012bf259,0x033c8268,0x00711e20,0x03fc148f,0x005e0e70,0x017d8bf9,0x0112b2e2},{0x02134b83,0x001a0517,0x0182c3cc,0x00792182,0x0313d799,0x001a3ed7,0x0344547e,0x01f24a0d,0x03de6ad2,0x00543127}}, + {{0x00dca868,0x00618f27,0x015a1709,0x00ddc38a,0x0320fd13,0x0036168d,0x0371ab06,0x01783fc7,0x0391e05f,0x01e29b5d},{0x01471138,0x00fca542,0x00ca31cf,0x01ca7bad,0x0175bfbc,0x01a708ad,0x03bce212,0x01244215,0x0075bb99,0x01acad68},{0x03a0b976,0x01dc12d1,0x011aab17,0x00aba0ba,0x029806cd,0x0142f590,0x018fd8ea,0x01a01545,0x03c4ad55,0x01c971ff}}, + {{0x00d098c0,0x000afdc7,0x006cd230,0x01276af3,0x03f905b2,0x0102994c,0x002eb8a4,0x015cfbeb,0x025f855f,0x01335518},{0x01cf99b2,0x0099c574,0x01a69c88,0x00881510,0x01cd4b54,0x0112109f,0x008abdc5,0x0074647a,0x0277cb1f,0x01e53324},{0x02ac5053,0x01b109b0,0x024b095e,0x016997b3,0x02f26bb6,0x00311021,0x00197885,0x01d0a55a,0x03b6fcc8,0x01c020d5}}, + {{0x02584a34,0x00e7eee0,0x03257a03,0x011e95a3,0x011ead91,0x00536202,0x00b1ce24,0x008516c6,0x03669d6d,0x004ea4a8},{0x00773f01,0x0019c9ce,0x019f6171,0x01d4afde,0x02e33323,0x01ad29b6,0x02ead1dc,0x01ed51a5,0x01851ad0,0x001bbdfa},{0x00577de5,0x00ddc730,0x038b9952,0x00f281ae,0x01d50390,0x0002e071,0x000780ec,0x010d448d,0x01f8a2af,0x00f0a5b7}}, + {{0x031f2541,0x00d34bae,0x0323ff9d,0x003a056d,0x02e25443,0x00a1ad05,0x00d1bee8,0x002f7f8e,0x03007477,0x002a24b1},{0x0114a713,0x01457e76,0x032255d5,0x01cc647f,0x02a4bdef,0x0153d730,0x00118bcf,0x00f755ff,0x013490c7,0x01ea674e},{0x02bda3e8,0x00bb490d,0x00f291ea,0x000abf40,0x01dea321,0x002f9ce0,0x00b2b193,0x00fa54b5,0x0128302f,0x00a19d8b}}, + {{0x022ef5bd,0x01638af3,0x038c6f8a,0x01a33a3d,0x039261b2,0x01bb89b8,0x010bcf9d,0x00cf42a9,0x023d6f17,0x01da1bca},{0x00e35b25,0x000d824f,0x0152e9cf,0x00ed935d,0x020b8460,0x01c7b83f,0x00c969e5,0x01a74198,0x0046a9d9,0x00cbc768},{0x01597c6a,0x0144a99b,0x00a57551,0x0018269c,0x023c464c,0x0009b022,0x00ee39e1,0x0114c7f2,0x038a9ad2,0x01584c17}}, + {{0x03b0c0d5,0x00b30a39,0x038a6ce4,0x01ded83a,0x01c277a6,0x01010a61,0x0346d3eb,0x018d995e,0x02f2c57c,0x000c286b},{0x0092aed1,0x0125e37b,0x027ca201,0x001a6b6b,0x03290f55,0x0047ba48,0x018d916c,0x01a59062,0x013e35d4,0x0002abb1},{0x003ad2aa,0x007ddcc0,0x00c10f76,0x0001590b,0x002cfca6,0x000ed23e,0x00ee4329,0x00900f04,0x01c24065,0x0082fa70}}, + {{0x02025e60,0x003912b8,0x0327041c,0x017e5ee5,0x02c0ecec,0x015a0d1c,0x02b1ce7c,0x0062220b,0x0145067e,0x01a5d931},{0x009673a6,0x00e1f609,0x00927c2a,0x016faa37,0x01650ef0,0x016f63b5,0x03cd40e1,0x003bc38f,0x0361f0ac,0x01d42acc},{0x02f81037,0x008ca0e8,0x017e23d1,0x011debfe,0x01bcbb68,0x002e2563,0x03e8add6,0x000816e5,0x03fb7075,0x0153e5ac}}, + {{0x02b11ecd,0x016bf185,0x008f22ef,0x00e7d2bb,0x0225d92e,0x00ece785,0x00508873,0x017e16f5,0x01fbe85d,0x01e39a0e},{0x01669279,0x017c810a,0x024941f5,0x0023ebeb,0x00eb7688,0x005760f1,0x02ca4146,0x0073cde7,0x0052bb75,0x00f5ffa7},{0x03b8856b,0x00cb7dcd,0x02f14e06,0x001820d0,0x01d74175,0x00e59e22,0x03fba550,0x00484641,0x03350088,0x01c3c9a3}}, + {{0x00dcf355,0x0104481c,0x0022e464,0x01f73fe7,0x00e03325,0x0152b698,0x02ef769a,0x00973663,0x00039b8c,0x0101395b},{0x01805f47,0x019160ec,0x03832cd0,0x008b06eb,0x03d4d717,0x004cb006,0x03a75b8f,0x013b3d30,0x01cfad88,0x01f034d1},{0x0078338a,0x01c7d2e3,0x02bc2b23,0x018b3f05,0x0280d9aa,0x005f3d44,0x0220a95a,0x00eeeb97,0x0362aaec,0x00835d51}}, + {{0x01b9f543,0x013fac4d,0x02ad93ae,0x018ef464,0x0212cdf7,0x01138ba9,0x011583ab,0x019c3d26,0x028790b4,0x00e2e2b6},{0x033bb758,0x01f0dbf1,0x03734bd1,0x0129b1e5,0x02b3950e,0x003bc922,0x01a53ec8,0x018c5532,0x006f3cee,0x00ae3c79},{0x0351f95d,0x0012a737,0x03d596b8,0x017658fe,0x00ace54a,0x008b66da,0x0036c599,0x012a63a2,0x032ceba1,0x00126bac}}, + {{0x03dcfe7e,0x019f4f18,0x01c81aee,0x0044bc2b,0x00827165,0x014f7c13,0x03b430f0,0x00bf96cc,0x020c8d62,0x01471997},{0x01fc7931,0x001f42dd,0x00ba754a,0x005bd339,0x003fbe49,0x016b3930,0x012a159c,0x009f83b0,0x03530f67,0x01e57b85},{0x02ecbd81,0x0096c294,0x01fce4a9,0x017701a5,0x0175047d,0x00ee4a31,0x012686e5,0x008efcd4,0x0349dc54,0x01b3466f}}, + {{0x02179ca3,0x01d86414,0x03f0afd0,0x00305964,0x015c7428,0x0099711e,0x015d5442,0x00c71014,0x01b40b2e,0x01d483cf},{0x01afc386,0x01984859,0x036203ff,0x0045c6a8,0x0020a8aa,0x00990baa,0x03313f10,0x007ceede,0x027429e4,0x017806ce},{0x039357a1,0x0142f8f4,0x0294a7b6,0x00eaccf4,0x0259edb3,0x01311e6e,0x004d326f,0x0130c346,0x01ccef3c,0x01c424b2}}, + {{0x0364918c,0x00148fc0,0x01638a7b,0x01a1fd5b,0x028ad013,0x0081e5a4,0x01a54f33,0x0174e101,0x003d0257,0x003a856c},{0x00051dcf,0x00f62b1d,0x0143d0ad,0x0042adbd,0x000fda90,0x01743ceb,0x0173e5e4,0x017bc749,0x03b7137a,0x0105ce96},{0x00f9218a,0x015b8c7c,0x00e102f8,0x0158d7e2,0x0169a5b8,0x00b2f176,0x018b347a,0x014cfef2,0x0214a4e3,0x017f1595}}, + {{0x006d7ae5,0x0195c371,0x0391e26d,0x0062a7c6,0x003f42ab,0x010dad86,0x024f8198,0x01542b2a,0x0014c454,0x0189c471},{0x0390988e,0x00b8799d,0x02e44912,0x0078e2e6,0x00075654,0x01923eed,0x0040cd72,0x00a37c76,0x0009d466,0x00c8531d},{0x02651770,0x00609d01,0x0286c265,0x0134513c,0x00ee9281,0x005d223c,0x035c760c,0x00679b36,0x0073ecb8,0x016faa50}}, + {{0x02c89be4,0x016fc244,0x02f38c83,0x018beb72,0x02b3ce2c,0x0097b065,0x034f017b,0x01dd957f,0x00148f61,0x00eab357},{0x0343d2f8,0x003398fc,0x011e368e,0x00782a1f,0x00019eea,0x00117b6f,0x0128d0d1,0x01a5e6bb,0x01944f1b,0x012b41e1},{0x03318301,0x018ecd30,0x0104d0b1,0x0038398b,0x03726701,0x019da88c,0x002d9769,0x00a7a681,0x031d9028,0x00ebfc32}}, + {{0x0220405e,0x0171face,0x02d930f8,0x017f6d6a,0x023b8c47,0x0129d5f9,0x02972456,0x00a3a524,0x006f4cd2,0x004439fa},{0x00c53505,0x0190c2fd,0x00507244,0x009930f9,0x01a39270,0x01d327c6,0x0399bc47,0x01cfe13d,0x0332bd99,0x00b33e7d},{0x0203f5e4,0x003627b5,0x00018af8,0x01478581,0x004a2218,0x002e3bb7,0x039384d0,0x0146ea62,0x020b9693,0x0017155f}}, + {{0x03c97e6f,0x00738c47,0x03b5db1f,0x01808fcf,0x01e8fc98,0x01ed25dd,0x01bf5045,0x00eb5c2b,0x0178fe98,0x01b85530},{0x01c20eb0,0x01aeec22,0x030b9eee,0x01b7d07e,0x0187e16f,0x014421fb,0x009fa731,0x0040b6d7,0x00841861,0x00a27fbc},{0x02d69abf,0x0058cdbf,0x0129f9ec,0x013c19ae,0x026c5b93,0x013a7fe7,0x004bb2ba,0x0063226f,0x002a95ca,0x01abefd9}}, + {{0x02f5d2c1,0x00378318,0x03734fb5,0x01258073,0x0263f0f6,0x01ad70e0,0x01b56d06,0x01188fbd,0x011b9503,0x0036d2e1},{0x0113a8cc,0x01541c3e,0x02ac2bbc,0x01d95867,0x01f47459,0x00ead489,0x00ab5b48,0x01db3b45,0x00edb801,0x004b024f},{0x00b8190f,0x011fe4c2,0x00621f82,0x010508d7,0x001a5a76,0x00c7d7fd,0x03aab96d,0x019cd9dc,0x019c6635,0x00ceaa1e}}, + {{0x01085cf2,0x01fd47af,0x03e3f5e1,0x004b3e99,0x01e3d46a,0x0060033c,0x015ff0a8,0x0150cdd8,0x029e8e21,0x008cf1bc},{0x00156cb1,0x003d623f,0x01a4f069,0x00d8d053,0x01b68aea,0x01ca5ab6,0x0316ae43,0x0134dc44,0x001c8d58,0x0084b343},{0x0318c781,0x0135441f,0x03a51a5e,0x019293f4,0x0048bb37,0x013d3341,0x0143151e,0x019c74e1,0x00911914,0x0076ddde}}, + {{0x006bc26f,0x00d48e5f,0x00227bbe,0x00629ea8,0x01ea5f8b,0x0179a330,0x027a1d5f,0x01bf8f8e,0x02d26e2a,0x00c6b65e},{0x01701ab6,0x0051da77,0x01b4b667,0x00a0ce7c,0x038ae37b,0x012ac852,0x03a0b0fe,0x0097c2bb,0x00a017d2,0x01eb8b2a},{0x0120b962,0x0005fb42,0x0353b6fd,0x0061f8ce,0x007a1463,0x01560a64,0x00e0a792,0x01907c92,0x013a6622,0x007b47f1}} +}; diff --git a/src/ext/ed25519/donna/ed25519-donna-64bit-sse2.h b/src/ext/ed25519/donna/ed25519-donna-64bit-sse2.h new file mode 100644 index 0000000..ca08651 --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-donna-64bit-sse2.h @@ -0,0 +1,436 @@ +#if defined(ED25519_GCC_64BIT_SSE_CHOOSE) + +#define HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS + +DONNA_NOINLINE static void +ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) { + int64_t breg = (int64_t)b; + uint64_t sign = (uint64_t)breg >> 63; + uint64_t mask = ~(sign - 1); + uint64_t u = (breg + mask) ^ mask; + + __asm__ __volatile__ ( + /* ysubx+xaddy+t2d */ + "movq %0, %%rax ;\n" + "movd %%rax, %%xmm14 ;\n" + "pshufd $0x00, %%xmm14, %%xmm14 ;\n" + "pxor %%xmm0, %%xmm0 ;\n" + "pxor %%xmm1, %%xmm1 ;\n" + "pxor %%xmm2, %%xmm2 ;\n" + "pxor %%xmm3, %%xmm3 ;\n" + "pxor %%xmm4, %%xmm4 ;\n" + "pxor %%xmm5, %%xmm5 ;\n" + + /* 0 */ + "movq $0, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movq $1, %%rax ;\n" + "movd %%rax, %%xmm6 ;\n" + "pxor %%xmm7, %%xmm7 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm6, %%xmm2 ;\n" + "por %%xmm7, %%xmm3 ;\n" + + /* 1 */ + "movq $1, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 0(%1), %%xmm6 ;\n" + "movdqa 16(%1), %%xmm7 ;\n" + "movdqa 32(%1), %%xmm8 ;\n" + "movdqa 48(%1), %%xmm9 ;\n" + "movdqa 64(%1), %%xmm10 ;\n" + "movdqa 80(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 2 */ + "movq $2, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 96(%1), %%xmm6 ;\n" + "movdqa 112(%1), %%xmm7 ;\n" + "movdqa 128(%1), %%xmm8 ;\n" + "movdqa 144(%1), %%xmm9 ;\n" + "movdqa 160(%1), %%xmm10 ;\n" + "movdqa 176(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 3 */ + "movq $3, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 192(%1), %%xmm6 ;\n" + "movdqa 208(%1), %%xmm7 ;\n" + "movdqa 224(%1), %%xmm8 ;\n" + "movdqa 240(%1), %%xmm9 ;\n" + "movdqa 256(%1), %%xmm10 ;\n" + "movdqa 272(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 4 */ + "movq $4, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 288(%1), %%xmm6 ;\n" + "movdqa 304(%1), %%xmm7 ;\n" + "movdqa 320(%1), %%xmm8 ;\n" + "movdqa 336(%1), %%xmm9 ;\n" + "movdqa 352(%1), %%xmm10 ;\n" + "movdqa 368(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 5 */ + "movq $5, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 384(%1), %%xmm6 ;\n" + "movdqa 400(%1), %%xmm7 ;\n" + "movdqa 416(%1), %%xmm8 ;\n" + "movdqa 432(%1), %%xmm9 ;\n" + "movdqa 448(%1), %%xmm10 ;\n" + "movdqa 464(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 6 */ + "movq $6, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 480(%1), %%xmm6 ;\n" + "movdqa 496(%1), %%xmm7 ;\n" + "movdqa 512(%1), %%xmm8 ;\n" + "movdqa 528(%1), %%xmm9 ;\n" + "movdqa 544(%1), %%xmm10 ;\n" + "movdqa 560(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 7 */ + "movq $7, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 576(%1), %%xmm6 ;\n" + "movdqa 592(%1), %%xmm7 ;\n" + "movdqa 608(%1), %%xmm8 ;\n" + "movdqa 624(%1), %%xmm9 ;\n" + "movdqa 640(%1), %%xmm10 ;\n" + "movdqa 656(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 8 */ + "movq $8, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 672(%1), %%xmm6 ;\n" + "movdqa 688(%1), %%xmm7 ;\n" + "movdqa 704(%1), %%xmm8 ;\n" + "movdqa 720(%1), %%xmm9 ;\n" + "movdqa 736(%1), %%xmm10 ;\n" + "movdqa 752(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* conditionally swap ysubx and xaddy */ + "movq %3, %%rax ;\n" + "xorq $1, %%rax ;\n" + "movd %%rax, %%xmm14 ;\n" + "pxor %%xmm15, %%xmm15 ;\n" + "pshufd $0x00, %%xmm14, %%xmm14 ;\n" + "pxor %%xmm0, %%xmm2 ;\n" + "pxor %%xmm1, %%xmm3 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa %%xmm2, %%xmm6 ;\n" + "movdqa %%xmm3, %%xmm7 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pxor %%xmm6, %%xmm0 ;\n" + "pxor %%xmm7, %%xmm1 ;\n" + "pxor %%xmm0, %%xmm2 ;\n" + "pxor %%xmm1, %%xmm3 ;\n" + + /* store ysubx */ + "xorq %%rax, %%rax ;\n" + "movd %%xmm0, %%rcx ;\n" + "movd %%xmm0, %%r8 ;\n" + "movd %%xmm1, %%rsi ;\n" + "pshufd $0xee, %%xmm0, %%xmm0 ;\n" + "pshufd $0xee, %%xmm1, %%xmm1 ;\n" + "movd %%xmm0, %%rdx ;\n" + "movd %%xmm1, %%rdi ;\n" + "shrdq $51, %%rdx, %%r8 ;\n" + "shrdq $38, %%rsi, %%rdx ;\n" + "shrdq $25, %%rdi, %%rsi ;\n" + "shrq $12, %%rdi ;\n" + "movq %%rcx, %%r9 ;\n" + "movq %%r8, %%r10 ;\n" + "movq %%rdx, %%r11 ;\n" + "movq %%rsi, %%r12 ;\n" + "movq %%rdi, %%r13 ;\n" + "shrq $26, %%r9 ;\n" + "shrq $26, %%r10 ;\n" + "shrq $26, %%r11 ;\n" + "shrq $26, %%r12 ;\n" + "shrq $26, %%r13 ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "andl $0x1ffffff, %%r9d ;\n" + "andl $0x3ffffff, %%r8d ;\n" + "andl $0x1ffffff, %%r10d ;\n" + "andl $0x3ffffff, %%edx ;\n" + "andl $0x1ffffff, %%r11d ;\n" + "andl $0x3ffffff, %%esi ;\n" + "andl $0x1ffffff, %%r12d ;\n" + "andl $0x3ffffff, %%edi ;\n" + "andl $0x1ffffff, %%r13d ;\n" + "movl %%ecx, 0(%2) ;\n" + "movl %%r9d, 4(%2) ;\n" + "movl %%r8d, 8(%2) ;\n" + "movl %%r10d, 12(%2) ;\n" + "movl %%edx, 16(%2) ;\n" + "movl %%r11d, 20(%2) ;\n" + "movl %%esi, 24(%2) ;\n" + "movl %%r12d, 28(%2) ;\n" + "movl %%edi, 32(%2) ;\n" + "movl %%r13d, 36(%2) ;\n" + "movq %%rax, 40(%2) ;\n" + + /* store xaddy */ + "movd %%xmm2, %%rcx ;\n" + "movd %%xmm2, %%r8 ;\n" + "movd %%xmm3, %%rsi ;\n" + "pshufd $0xee, %%xmm2, %%xmm2 ;\n" + "pshufd $0xee, %%xmm3, %%xmm3 ;\n" + "movd %%xmm2, %%rdx ;\n" + "movd %%xmm3, %%rdi ;\n" + "shrdq $51, %%rdx, %%r8 ;\n" + "shrdq $38, %%rsi, %%rdx ;\n" + "shrdq $25, %%rdi, %%rsi ;\n" + "shrq $12, %%rdi ;\n" + "movq %%rcx, %%r9 ;\n" + "movq %%r8, %%r10 ;\n" + "movq %%rdx, %%r11 ;\n" + "movq %%rsi, %%r12 ;\n" + "movq %%rdi, %%r13 ;\n" + "shrq $26, %%r9 ;\n" + "shrq $26, %%r10 ;\n" + "shrq $26, %%r11 ;\n" + "shrq $26, %%r12 ;\n" + "shrq $26, %%r13 ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "andl $0x1ffffff, %%r9d ;\n" + "andl $0x3ffffff, %%r8d ;\n" + "andl $0x1ffffff, %%r10d ;\n" + "andl $0x3ffffff, %%edx ;\n" + "andl $0x1ffffff, %%r11d ;\n" + "andl $0x3ffffff, %%esi ;\n" + "andl $0x1ffffff, %%r12d ;\n" + "andl $0x3ffffff, %%edi ;\n" + "andl $0x1ffffff, %%r13d ;\n" + "movl %%ecx, 48(%2) ;\n" + "movl %%r9d, 52(%2) ;\n" + "movl %%r8d, 56(%2) ;\n" + "movl %%r10d, 60(%2) ;\n" + "movl %%edx, 64(%2) ;\n" + "movl %%r11d, 68(%2) ;\n" + "movl %%esi, 72(%2) ;\n" + "movl %%r12d, 76(%2) ;\n" + "movl %%edi, 80(%2) ;\n" + "movl %%r13d, 84(%2) ;\n" + "movq %%rax, 88(%2) ;\n" + + /* extract t2d */ + "xorq %%rax, %%rax ;\n" + "movd %%xmm4, %%rcx ;\n" + "movd %%xmm4, %%r8 ;\n" + "movd %%xmm5, %%rsi ;\n" + "pshufd $0xee, %%xmm4, %%xmm4 ;\n" + "pshufd $0xee, %%xmm5, %%xmm5 ;\n" + "movd %%xmm4, %%rdx ;\n" + "movd %%xmm5, %%rdi ;\n" + "shrdq $51, %%rdx, %%r8 ;\n" + "shrdq $38, %%rsi, %%rdx ;\n" + "shrdq $25, %%rdi, %%rsi ;\n" + "shrq $12, %%rdi ;\n" + "movq %%rcx, %%r9 ;\n" + "movq %%r8, %%r10 ;\n" + "movq %%rdx, %%r11 ;\n" + "movq %%rsi, %%r12 ;\n" + "movq %%rdi, %%r13 ;\n" + "shrq $26, %%r9 ;\n" + "shrq $26, %%r10 ;\n" + "shrq $26, %%r11 ;\n" + "shrq $26, %%r12 ;\n" + "shrq $26, %%r13 ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "andl $0x1ffffff, %%r9d ;\n" + "andl $0x3ffffff, %%r8d ;\n" + "andl $0x1ffffff, %%r10d ;\n" + "andl $0x3ffffff, %%edx ;\n" + "andl $0x1ffffff, %%r11d ;\n" + "andl $0x3ffffff, %%esi ;\n" + "andl $0x1ffffff, %%r12d ;\n" + "andl $0x3ffffff, %%edi ;\n" + "andl $0x1ffffff, %%r13d ;\n" + "movd %%ecx, %%xmm0 ;\n" + "movd %%r9d, %%xmm4 ;\n" + "movd %%r8d, %%xmm8 ;\n" + "movd %%r10d, %%xmm3 ;\n" + "movd %%edx, %%xmm1 ;\n" + "movd %%r11d, %%xmm5 ;\n" + "movd %%esi, %%xmm6 ;\n" + "movd %%r12d, %%xmm7 ;\n" + "movd %%edi, %%xmm2 ;\n" + "movd %%r13d, %%xmm9 ;\n" + "punpckldq %%xmm4, %%xmm0 ;\n" + "punpckldq %%xmm3, %%xmm8 ;\n" + "punpckldq %%xmm5, %%xmm1 ;\n" + "punpckldq %%xmm7, %%xmm6 ;\n" + "punpckldq %%xmm9, %%xmm2 ;\n" + "punpcklqdq %%xmm8, %%xmm0 ;\n" + "punpcklqdq %%xmm6, %%xmm1 ;\n" + + /* set up 2p in to 3/4 */ + "movl $0x7ffffda, %%ecx ;\n" + "movl $0x3fffffe, %%edx ;\n" + "movl $0x7fffffe, %%eax ;\n" + "movd %%ecx, %%xmm3 ;\n" + "movd %%edx, %%xmm5 ;\n" + "movd %%eax, %%xmm4 ;\n" + "punpckldq %%xmm5, %%xmm3 ;\n" + "punpckldq %%xmm5, %%xmm4 ;\n" + "punpcklqdq %%xmm4, %%xmm3 ;\n" + "movdqa %%xmm4, %%xmm5 ;\n" + "punpcklqdq %%xmm4, %%xmm4 ;\n" + + /* subtract and conditionally move */ + "movl %3, %%ecx ;\n" + "sub $1, %%ecx ;\n" + "movd %%ecx, %%xmm6 ;\n" + "pshufd $0x00, %%xmm6, %%xmm6 ;\n" + "movdqa %%xmm6, %%xmm7 ;\n" + "psubd %%xmm0, %%xmm3 ;\n" + "psubd %%xmm1, %%xmm4 ;\n" + "psubd %%xmm2, %%xmm5 ;\n" + "pand %%xmm6, %%xmm0 ;\n" + "pand %%xmm6, %%xmm1 ;\n" + "pand %%xmm6, %%xmm2 ;\n" + "pandn %%xmm3, %%xmm6 ;\n" + "movdqa %%xmm7, %%xmm3 ;\n" + "pandn %%xmm4, %%xmm7 ;\n" + "pandn %%xmm5, %%xmm3 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm3, %%xmm2 ;\n" + + /* store t2d */ + "movdqa %%xmm0, 96(%2) ;\n" + "movdqa %%xmm1, 112(%2) ;\n" + "movdqa %%xmm2, 128(%2) ;\n" + : + : "m"(u), "r"(&table[pos * 8]), "r"(t), "m"(sign) /* %0 = u, %1 = table, %2 = t, %3 = sign */ + : + "%rax", "%rcx", "%rdx", "%rdi", "%rsi", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", + "%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm14", "%xmm14", + "cc", "memory" + ); +} + +#endif /* defined(ED25519_GCC_64BIT_SSE_CHOOSE) */ + diff --git a/src/ext/ed25519/donna/ed25519-donna-64bit-tables.h b/src/ext/ed25519/donna/ed25519-donna-64bit-tables.h new file mode 100644 index 0000000..4a6ff9e --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-donna-64bit-tables.h @@ -0,0 +1,53 @@ +static const ge25519 ge25519_basepoint = { + {0x00062d608f25d51a,0x000412a4b4f6592a,0x00075b7171a4b31d,0x0001ff60527118fe,0x000216936d3cd6e5}, + {0x0006666666666658,0x0004cccccccccccc,0x0001999999999999,0x0003333333333333,0x0006666666666666}, + {0x0000000000000001,0x0000000000000000,0x0000000000000000,0x0000000000000000,0x0000000000000000}, + {0x00068ab3a5b7dda3,0x00000eea2a5eadbb,0x0002af8df483c27e,0x000332b375274732,0x00067875f0fd78b7} +}; + +static const bignum25519 ge25519_ecd = { + 0x00034dca135978a3,0x0001a8283b156ebd,0x0005e7a26001c029,0x000739c663a03cbb,0x00052036cee2b6ff +}; + +static const bignum25519 ge25519_ec2d = { + 0x00069b9426b2f159,0x00035050762add7a,0x0003cf44c0038052,0x0006738cc7407977,0x0002406d9dc56dff +}; + +static const bignum25519 ge25519_sqrtneg1 = { + 0x00061b274a0ea0b0,0x0000d5a5fc8f189d,0x0007ef5e9cbd0c60,0x00078595a6804c9e,0x0002b8324804fc1d +}; + +static const ge25519_niels ge25519_niels_sliding_multiples[32] = { + {{0x00003905d740913e,0x0000ba2817d673a2,0x00023e2827f4e67c,0x000133d2e0c21a34,0x00044fd2f9298f81},{0x000493c6f58c3b85,0x0000df7181c325f7,0x0000f50b0b3e4cb7,0x0005329385a44c32,0x00007cf9d3a33d4b},{0x00011205877aaa68,0x000479955893d579,0x00050d66309b67a0,0x0002d42d0dbee5ee,0x0006f117b689f0c6}}, + {{0x00011fe8a4fcd265,0x0007bcb8374faacc,0x00052f5af4ef4d4f,0x0005314098f98d10,0x0002ab91587555bd},{0x0005b0a84cee9730,0x00061d10c97155e4,0x0004059cc8096a10,0x00047a608da8014f,0x0007a164e1b9a80f},{0x0006933f0dd0d889,0x00044386bb4c4295,0x0003cb6d3162508c,0x00026368b872a2c6,0x0005a2826af12b9b}}, + {{0x000182c3a447d6ba,0x00022964e536eff2,0x000192821f540053,0x0002f9f19e788e5c,0x000154a7e73eb1b5},{0x0002bc4408a5bb33,0x000078ebdda05442,0x0002ffb112354123,0x000375ee8df5862d,0x0002945ccf146e20},{0x0003dbf1812a8285,0x0000fa17ba3f9797,0x0006f69cb49c3820,0x00034d5a0db3858d,0x00043aabe696b3bb}}, + {{0x00072c9aaa3221b1,0x000267774474f74d,0x000064b0e9b28085,0x0003f04ef53b27c9,0x0001d6edd5d2e531},{0x00025cd0944ea3bf,0x00075673b81a4d63,0x000150b925d1c0d4,0x00013f38d9294114,0x000461bea69283c9},{0x00036dc801b8b3a2,0x0000e0a7d4935e30,0x0001deb7cecc0d7d,0x000053a94e20dd2c,0x0007a9fbb1c6a0f9}}, + {{0x0006217e039d8064,0x0006dea408337e6d,0x00057ac112628206,0x000647cb65e30473,0x00049c05a51fadc9},{0x0006678aa6a8632f,0x0005ea3788d8b365,0x00021bd6d6994279,0x0007ace75919e4e3,0x00034b9ed338add7},{0x0004e8bf9045af1b,0x000514e33a45e0d6,0x0007533c5b8bfe0f,0x000583557b7e14c9,0x00073c172021b008}}, + {{0x00075b0249864348,0x00052ee11070262b,0x000237ae54fb5acd,0x0003bfd1d03aaab5,0x00018ab598029d5c},{0x000700848a802ade,0x0001e04605c4e5f7,0x0005c0d01b9767fb,0x0007d7889f42388b,0x0004275aae2546d8},{0x00032cc5fd6089e9,0x000426505c949b05,0x00046a18880c7ad2,0x0004a4221888ccda,0x0003dc65522b53df}}, + {{0x0007013b327fbf93,0x0001336eeded6a0d,0x0002b565a2bbf3af,0x000253ce89591955,0x0000267882d17602},{0x0000c222a2007f6d,0x000356b79bdb77ee,0x00041ee81efe12ce,0x000120a9bd07097d,0x000234fd7eec346f},{0x0000a119732ea378,0x00063bf1ba8e2a6c,0x00069f94cc90df9a,0x000431d1779bfc48,0x000497ba6fdaa097}}, + {{0x0003cd86468ccf0b,0x00048553221ac081,0x0006c9464b4e0a6e,0x00075fba84180403,0x00043b5cd4218d05},{0x0006cc0313cfeaa0,0x0001a313848da499,0x0007cb534219230a,0x00039596dedefd60,0x00061e22917f12de},{0x0002762f9bd0b516,0x0001c6e7fbddcbb3,0x00075909c3ace2bd,0x00042101972d3ec9,0x000511d61210ae4d}}, + {{0x000386484420de87,0x0002d6b25db68102,0x000650b4962873c0,0x0004081cfd271394,0x00071a7fe6fe2482},{0x000676ef950e9d81,0x0001b81ae089f258,0x00063c4922951883,0x0002f1d54d9b3237,0x0006d325924ddb85},{0x000182b8a5c8c854,0x00073fcbe5406d8e,0x0005de3430cff451,0x000554b967ac8c41,0x0004746c4b6559ee}}, + {{0x000546c864741147,0x0003a1df99092690,0x0001ca8cc9f4d6bb,0x00036b7fc9cd3b03,0x000219663497db5e},{0x00077b3c6dc69a2b,0x0004edf13ec2fa6e,0x0004e85ad77beac8,0x0007dba2b28e7bda,0x0005c9a51de34fe9},{0x0000f1cf79f10e67,0x00043ccb0a2b7ea2,0x00005089dfff776a,0x0001dd84e1d38b88,0x0004804503c60822}}, + {{0x000021d23a36d175,0x0004fd3373c6476d,0x00020e291eeed02a,0x00062f2ecf2e7210,0x000771e098858de4},{0x00049ed02ca37fc7,0x000474c2b5957884,0x0005b8388e816683,0x0004b6c454b76be4,0x000553398a516506},{0x0002f5d278451edf,0x000730b133997342,0x0006965420eb6975,0x000308a3bfa516cf,0x0005a5ed1d68ff5a}}, + {{0x0005e0c558527359,0x0003395b73afd75c,0x000072afa4e4b970,0x00062214329e0f6d,0x000019b60135fefd},{0x0005122afe150e83,0x0004afc966bb0232,0x0001c478833c8268,0x00017839c3fc148f,0x00044acb897d8bf9},{0x000068145e134b83,0x0001e4860982c3cc,0x000068fb5f13d799,0x0007c9283744547e,0x000150c49fde6ad2}}, + {{0x0001863c9cdca868,0x0003770e295a1709,0x0000d85a3720fd13,0x0005e0ff1f71ab06,0x00078a6d7791e05f},{0x0003f29509471138,0x000729eeb4ca31cf,0x00069c22b575bfbc,0x0004910857bce212,0x0006b2b5a075bb99},{0x0007704b47a0b976,0x0002ae82e91aab17,0x00050bd6429806cd,0x00068055158fd8ea,0x000725c7ffc4ad55}}, + {{0x00002bf71cd098c0,0x00049dabcc6cd230,0x00040a6533f905b2,0x000573efac2eb8a4,0x0004cd54625f855f},{0x00026715d1cf99b2,0x0002205441a69c88,0x000448427dcd4b54,0x0001d191e88abdc5,0x000794cc9277cb1f},{0x0006c426c2ac5053,0x0005a65ece4b095e,0x0000c44086f26bb6,0x0007429568197885,0x0007008357b6fcc8}}, + {{0x00039fbb82584a34,0x00047a568f257a03,0x00014d88091ead91,0x0002145b18b1ce24,0x00013a92a3669d6d},{0x0000672738773f01,0x000752bf799f6171,0x0006b4a6dae33323,0x0007b54696ead1dc,0x00006ef7e9851ad0},{0x0003771cc0577de5,0x0003ca06bb8b9952,0x00000b81c5d50390,0x00043512340780ec,0x0003c296ddf8a2af}}, + {{0x00034d2ebb1f2541,0x0000e815b723ff9d,0x000286b416e25443,0x0000bdfe38d1bee8,0x0000a892c7007477},{0x000515f9d914a713,0x00073191ff2255d5,0x00054f5cc2a4bdef,0x0003dd57fc118bcf,0x0007a99d393490c7},{0x0002ed2436bda3e8,0x00002afd00f291ea,0x0000be7381dea321,0x0003e952d4b2b193,0x000286762d28302f}}, + {{0x00058e2bce2ef5bd,0x00068ce8f78c6f8a,0x0006ee26e39261b2,0x00033d0aa50bcf9d,0x0007686f2a3d6f17},{0x000036093ce35b25,0x0003b64d7552e9cf,0x00071ee0fe0b8460,0x00069d0660c969e5,0x00032f1da046a9d9},{0x000512a66d597c6a,0x0000609a70a57551,0x000026c08a3c464c,0x0004531fc8ee39e1,0x000561305f8a9ad2}}, + {{0x0002cc28e7b0c0d5,0x00077b60eb8a6ce4,0x0004042985c277a6,0x000636657b46d3eb,0x000030a1aef2c57c},{0x0004978dec92aed1,0x000069adae7ca201,0x00011ee923290f55,0x00069641898d916c,0x00000aaec53e35d4},{0x0001f773003ad2aa,0x000005642cc10f76,0x00003b48f82cfca6,0x0002403c10ee4329,0x00020be9c1c24065}}, + {{0x0000e44ae2025e60,0x0005f97b9727041c,0x0005683472c0ecec,0x000188882eb1ce7c,0x00069764c545067e},{0x000387d8249673a6,0x0005bea8dc927c2a,0x0005bd8ed5650ef0,0x0000ef0e3fcd40e1,0x000750ab3361f0ac},{0x00023283a2f81037,0x000477aff97e23d1,0x0000b8958dbcbb68,0x0000205b97e8add6,0x00054f96b3fb7075}}, + {{0x0005afc616b11ecd,0x00039f4aec8f22ef,0x0003b39e1625d92e,0x0005f85bd4508873,0x00078e6839fbe85d},{0x0005f20429669279,0x00008fafae4941f5,0x00015d83c4eb7688,0x0001cf379eca4146,0x0003d7fe9c52bb75},{0x00032df737b8856b,0x0000608342f14e06,0x0003967889d74175,0x0001211907fba550,0x00070f268f350088}}, + {{0x0004112070dcf355,0x0007dcff9c22e464,0x00054ada60e03325,0x00025cd98eef769a,0x000404e56c039b8c},{0x00064583b1805f47,0x00022c1baf832cd0,0x000132c01bd4d717,0x0004ecf4c3a75b8f,0x0007c0d345cfad88},{0x00071f4b8c78338a,0x00062cfc16bc2b23,0x00017cf51280d9aa,0x0003bbae5e20a95a,0x00020d754762aaec}}, + {{0x0004feb135b9f543,0x00063bd192ad93ae,0x00044e2ea612cdf7,0x000670f4991583ab,0x00038b8ada8790b4},{0x0007c36fc73bb758,0x0004a6c797734bd1,0x0000ef248ab3950e,0x00063154c9a53ec8,0x0002b8f1e46f3cee},{0x00004a9cdf51f95d,0x0005d963fbd596b8,0x00022d9b68ace54a,0x0004a98e8836c599,0x000049aeb32ceba1}}, + {{0x00067d3c63dcfe7e,0x000112f0adc81aee,0x00053df04c827165,0x0002fe5b33b430f0,0x00051c665e0c8d62},{0x00007d0b75fc7931,0x00016f4ce4ba754a,0x0005ace4c03fbe49,0x00027e0ec12a159c,0x000795ee17530f67},{0x00025b0a52ecbd81,0x0005dc0695fce4a9,0x0003b928c575047d,0x00023bf3512686e5,0x0006cd19bf49dc54}}, + {{0x0007619052179ca3,0x0000c16593f0afd0,0x000265c4795c7428,0x00031c40515d5442,0x0007520f3db40b2e},{0x0006612165afc386,0x0001171aa36203ff,0x0002642ea820a8aa,0x0001f3bb7b313f10,0x0005e01b3a7429e4},{0x00050be3d39357a1,0x0003ab33d294a7b6,0x0004c479ba59edb3,0x0004c30d184d326f,0x00071092c9ccef3c}}, + {{0x0000523f0364918c,0x000687f56d638a7b,0x00020796928ad013,0x0005d38405a54f33,0x0000ea15b03d0257},{0x0003d8ac74051dcf,0x00010ab6f543d0ad,0x0005d0f3ac0fda90,0x0005ef1d2573e5e4,0x0004173a5bb7137a},{0x00056e31f0f9218a,0x0005635f88e102f8,0x0002cbc5d969a5b8,0x000533fbc98b347a,0x0005fc565614a4e3}}, + {{0x0006570dc46d7ae5,0x00018a9f1b91e26d,0x000436b6183f42ab,0x000550acaa4f8198,0x00062711c414c454},{0x0002e1e67790988e,0x0001e38b9ae44912,0x000648fbb4075654,0x00028df1d840cd72,0x0003214c7409d466},{0x0001827406651770,0x0004d144f286c265,0x00017488f0ee9281,0x00019e6cdb5c760c,0x0005bea94073ecb8}}, + {{0x0005bf0912c89be4,0x00062fadcaf38c83,0x00025ec196b3ce2c,0x00077655ff4f017b,0x0003aacd5c148f61},{0x0000ce63f343d2f8,0x0001e0a87d1e368e,0x000045edbc019eea,0x0006979aed28d0d1,0x0004ad0785944f1b},{0x00063b34c3318301,0x0000e0e62d04d0b1,0x000676a233726701,0x00029e9a042d9769,0x0003aff0cb1d9028}}, + {{0x0005c7eb3a20405e,0x0005fdb5aad930f8,0x0004a757e63b8c47,0x00028e9492972456,0x000110e7e86f4cd2},{0x0006430bf4c53505,0x000264c3e4507244,0x00074c9f19a39270,0x00073f84f799bc47,0x0002ccf9f732bd99},{0x0000d89ed603f5e4,0x00051e1604018af8,0x0000b8eedc4a2218,0x00051ba98b9384d0,0x00005c557e0b9693}}, + {{0x0001ce311fc97e6f,0x0006023f3fb5db1f,0x0007b49775e8fc98,0x0003ad70adbf5045,0x0006e154c178fe98},{0x0006bbb089c20eb0,0x0006df41fb0b9eee,0x00051087ed87e16f,0x000102db5c9fa731,0x000289fef0841861},{0x00016336fed69abf,0x0004f066b929f9ec,0x0004e9ff9e6c5b93,0x00018c89bc4bb2ba,0x0006afbf642a95ca}}, + {{0x0000de0c62f5d2c1,0x00049601cf734fb5,0x0006b5c38263f0f6,0x0004623ef5b56d06,0x0000db4b851b9503},{0x00055070f913a8cc,0x000765619eac2bbc,0x0003ab5225f47459,0x00076ced14ab5b48,0x00012c093cedb801},{0x00047f9308b8190f,0x000414235c621f82,0x00031f5ff41a5a76,0x0006736773aab96d,0x00033aa8799c6635}}, + {{0x0007f51ebd085cf2,0x00012cfa67e3f5e1,0x0001800cf1e3d46a,0x00054337615ff0a8,0x000233c6f29e8e21},{0x0000f588fc156cb1,0x000363414da4f069,0x0007296ad9b68aea,0x0004d3711316ae43,0x000212cd0c1c8d58},{0x0004d5107f18c781,0x00064a4fd3a51a5e,0x0004f4cd0448bb37,0x000671d38543151e,0x0001db7778911914}}, + {{0x000352397c6bc26f,0x00018a7aa0227bbe,0x0005e68cc1ea5f8b,0x0006fe3e3a7a1d5f,0x00031ad97ad26e2a},{0x00014769dd701ab6,0x00028339f1b4b667,0x0004ab214b8ae37b,0x00025f0aefa0b0fe,0x0007ae2ca8a017d2},{0x000017ed0920b962,0x000187e33b53b6fd,0x00055829907a1463,0x000641f248e0a792,0x0001ed1fc53a6622}} +}; diff --git a/src/ext/ed25519/donna/ed25519-donna-64bit-x86-32bit.h b/src/ext/ed25519/donna/ed25519-donna-64bit-x86-32bit.h new file mode 100644 index 0000000..1ce109c --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-donna-64bit-x86-32bit.h @@ -0,0 +1,435 @@ +#if defined(ED25519_GCC_64BIT_32BIT_CHOOSE) + +#define HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS + +DONNA_NOINLINE static void +ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) { + int64_t breg = (int64_t)b; + uint64_t sign = (uint64_t)breg >> 63; + uint64_t mask = ~(sign - 1); + uint64_t u = (breg + mask) ^ mask; + + __asm__ __volatile__ ( + /* ysubx+xaddy+t2d */ + "movq %0, %%rax ;\n" + "movd %%rax, %%xmm14 ;\n" + "pshufd $0x00, %%xmm14, %%xmm14 ;\n" + "pxor %%xmm0, %%xmm0 ;\n" + "pxor %%xmm1, %%xmm1 ;\n" + "pxor %%xmm2, %%xmm2 ;\n" + "pxor %%xmm3, %%xmm3 ;\n" + "pxor %%xmm4, %%xmm4 ;\n" + "pxor %%xmm5, %%xmm5 ;\n" + + /* 0 */ + "movq $0, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movq $1, %%rax ;\n" + "movd %%rax, %%xmm6 ;\n" + "pxor %%xmm7, %%xmm7 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm6, %%xmm2 ;\n" + "por %%xmm7, %%xmm3 ;\n" + + /* 1 */ + "movq $1, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 0(%1), %%xmm6 ;\n" + "movdqa 16(%1), %%xmm7 ;\n" + "movdqa 32(%1), %%xmm8 ;\n" + "movdqa 48(%1), %%xmm9 ;\n" + "movdqa 64(%1), %%xmm10 ;\n" + "movdqa 80(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 2 */ + "movq $2, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 96(%1), %%xmm6 ;\n" + "movdqa 112(%1), %%xmm7 ;\n" + "movdqa 128(%1), %%xmm8 ;\n" + "movdqa 144(%1), %%xmm9 ;\n" + "movdqa 160(%1), %%xmm10 ;\n" + "movdqa 176(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 3 */ + "movq $3, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 192(%1), %%xmm6 ;\n" + "movdqa 208(%1), %%xmm7 ;\n" + "movdqa 224(%1), %%xmm8 ;\n" + "movdqa 240(%1), %%xmm9 ;\n" + "movdqa 256(%1), %%xmm10 ;\n" + "movdqa 272(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 4 */ + "movq $4, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 288(%1), %%xmm6 ;\n" + "movdqa 304(%1), %%xmm7 ;\n" + "movdqa 320(%1), %%xmm8 ;\n" + "movdqa 336(%1), %%xmm9 ;\n" + "movdqa 352(%1), %%xmm10 ;\n" + "movdqa 368(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 5 */ + "movq $5, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 384(%1), %%xmm6 ;\n" + "movdqa 400(%1), %%xmm7 ;\n" + "movdqa 416(%1), %%xmm8 ;\n" + "movdqa 432(%1), %%xmm9 ;\n" + "movdqa 448(%1), %%xmm10 ;\n" + "movdqa 464(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 6 */ + "movq $6, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 480(%1), %%xmm6 ;\n" + "movdqa 496(%1), %%xmm7 ;\n" + "movdqa 512(%1), %%xmm8 ;\n" + "movdqa 528(%1), %%xmm9 ;\n" + "movdqa 544(%1), %%xmm10 ;\n" + "movdqa 560(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 7 */ + "movq $7, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 576(%1), %%xmm6 ;\n" + "movdqa 592(%1), %%xmm7 ;\n" + "movdqa 608(%1), %%xmm8 ;\n" + "movdqa 624(%1), %%xmm9 ;\n" + "movdqa 640(%1), %%xmm10 ;\n" + "movdqa 656(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 8 */ + "movq $8, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 672(%1), %%xmm6 ;\n" + "movdqa 688(%1), %%xmm7 ;\n" + "movdqa 704(%1), %%xmm8 ;\n" + "movdqa 720(%1), %%xmm9 ;\n" + "movdqa 736(%1), %%xmm10 ;\n" + "movdqa 752(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* conditionally swap ysubx and xaddy */ + "movq %3, %%rax ;\n" + "xorq $1, %%rax ;\n" + "movd %%rax, %%xmm14 ;\n" + "pxor %%xmm15, %%xmm15 ;\n" + "pshufd $0x00, %%xmm14, %%xmm14 ;\n" + "pxor %%xmm0, %%xmm2 ;\n" + "pxor %%xmm1, %%xmm3 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa %%xmm2, %%xmm6 ;\n" + "movdqa %%xmm3, %%xmm7 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pxor %%xmm6, %%xmm0 ;\n" + "pxor %%xmm7, %%xmm1 ;\n" + "pxor %%xmm0, %%xmm2 ;\n" + "pxor %%xmm1, %%xmm3 ;\n" + + /* store ysubx */ + "xorq %%rax, %%rax ;\n" + "movd %%xmm0, %%rcx ;\n" + "movd %%xmm0, %%r8 ;\n" + "movd %%xmm1, %%rsi ;\n" + "pshufd $0xee, %%xmm0, %%xmm0 ;\n" + "pshufd $0xee, %%xmm1, %%xmm1 ;\n" + "movd %%xmm0, %%rdx ;\n" + "movd %%xmm1, %%rdi ;\n" + "shrdq $51, %%rdx, %%r8 ;\n" + "shrdq $38, %%rsi, %%rdx ;\n" + "shrdq $25, %%rdi, %%rsi ;\n" + "shrq $12, %%rdi ;\n" + "movq %%rcx, %%r9 ;\n" + "movq %%r8, %%r10 ;\n" + "movq %%rdx, %%r11 ;\n" + "movq %%rsi, %%r12 ;\n" + "movq %%rdi, %%r13 ;\n" + "shrq $26, %%r9 ;\n" + "shrq $26, %%r10 ;\n" + "shrq $26, %%r11 ;\n" + "shrq $26, %%r12 ;\n" + "shrq $26, %%r13 ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "andl $0x1ffffff, %%r9d ;\n" + "andl $0x3ffffff, %%r8d ;\n" + "andl $0x1ffffff, %%r10d ;\n" + "andl $0x3ffffff, %%edx ;\n" + "andl $0x1ffffff, %%r11d ;\n" + "andl $0x3ffffff, %%esi ;\n" + "andl $0x1ffffff, %%r12d ;\n" + "andl $0x3ffffff, %%edi ;\n" + "andl $0x1ffffff, %%r13d ;\n" + "movl %%ecx, 0(%2) ;\n" + "movl %%r9d, 4(%2) ;\n" + "movl %%r8d, 8(%2) ;\n" + "movl %%r10d, 12(%2) ;\n" + "movl %%edx, 16(%2) ;\n" + "movl %%r11d, 20(%2) ;\n" + "movl %%esi, 24(%2) ;\n" + "movl %%r12d, 28(%2) ;\n" + "movl %%edi, 32(%2) ;\n" + "movl %%r13d, 36(%2) ;\n" + + /* store xaddy */ + "movd %%xmm2, %%rcx ;\n" + "movd %%xmm2, %%r8 ;\n" + "movd %%xmm3, %%rsi ;\n" + "pshufd $0xee, %%xmm2, %%xmm2 ;\n" + "pshufd $0xee, %%xmm3, %%xmm3 ;\n" + "movd %%xmm2, %%rdx ;\n" + "movd %%xmm3, %%rdi ;\n" + "shrdq $51, %%rdx, %%r8 ;\n" + "shrdq $38, %%rsi, %%rdx ;\n" + "shrdq $25, %%rdi, %%rsi ;\n" + "shrq $12, %%rdi ;\n" + "movq %%rcx, %%r9 ;\n" + "movq %%r8, %%r10 ;\n" + "movq %%rdx, %%r11 ;\n" + "movq %%rsi, %%r12 ;\n" + "movq %%rdi, %%r13 ;\n" + "shrq $26, %%r9 ;\n" + "shrq $26, %%r10 ;\n" + "shrq $26, %%r11 ;\n" + "shrq $26, %%r12 ;\n" + "shrq $26, %%r13 ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "andl $0x1ffffff, %%r9d ;\n" + "andl $0x3ffffff, %%r8d ;\n" + "andl $0x1ffffff, %%r10d ;\n" + "andl $0x3ffffff, %%edx ;\n" + "andl $0x1ffffff, %%r11d ;\n" + "andl $0x3ffffff, %%esi ;\n" + "andl $0x1ffffff, %%r12d ;\n" + "andl $0x3ffffff, %%edi ;\n" + "andl $0x1ffffff, %%r13d ;\n" + "movl %%ecx, 40(%2) ;\n" + "movl %%r9d, 44(%2) ;\n" + "movl %%r8d, 48(%2) ;\n" + "movl %%r10d, 52(%2) ;\n" + "movl %%edx, 56(%2) ;\n" + "movl %%r11d, 60(%2) ;\n" + "movl %%esi, 64(%2) ;\n" + "movl %%r12d, 68(%2) ;\n" + "movl %%edi, 72(%2) ;\n" + "movl %%r13d, 76(%2) ;\n" + + /* extract t2d */ + "xorq %%rax, %%rax ;\n" + "movd %%xmm4, %%rcx ;\n" + "movd %%xmm4, %%r8 ;\n" + "movd %%xmm5, %%rsi ;\n" + "pshufd $0xee, %%xmm4, %%xmm4 ;\n" + "pshufd $0xee, %%xmm5, %%xmm5 ;\n" + "movd %%xmm4, %%rdx ;\n" + "movd %%xmm5, %%rdi ;\n" + "shrdq $51, %%rdx, %%r8 ;\n" + "shrdq $38, %%rsi, %%rdx ;\n" + "shrdq $25, %%rdi, %%rsi ;\n" + "shrq $12, %%rdi ;\n" + "movq %%rcx, %%r9 ;\n" + "movq %%r8, %%r10 ;\n" + "movq %%rdx, %%r11 ;\n" + "movq %%rsi, %%r12 ;\n" + "movq %%rdi, %%r13 ;\n" + "shrq $26, %%r9 ;\n" + "shrq $26, %%r10 ;\n" + "shrq $26, %%r11 ;\n" + "shrq $26, %%r12 ;\n" + "shrq $26, %%r13 ;\n" + "andl $0x3ffffff, %%ecx ;\n" + "andl $0x1ffffff, %%r9d ;\n" + "andl $0x3ffffff, %%r8d ;\n" + "andl $0x1ffffff, %%r10d ;\n" + "andl $0x3ffffff, %%edx ;\n" + "andl $0x1ffffff, %%r11d ;\n" + "andl $0x3ffffff, %%esi ;\n" + "andl $0x1ffffff, %%r12d ;\n" + "andl $0x3ffffff, %%edi ;\n" + "andl $0x1ffffff, %%r13d ;\n" + "movd %%ecx, %%xmm0 ;\n" + "movd %%r9d, %%xmm4 ;\n" + "movd %%r8d, %%xmm8 ;\n" + "movd %%r10d, %%xmm3 ;\n" + "movd %%edx, %%xmm1 ;\n" + "movd %%r11d, %%xmm5 ;\n" + "movd %%esi, %%xmm6 ;\n" + "movd %%r12d, %%xmm7 ;\n" + "movd %%edi, %%xmm2 ;\n" + "movd %%r13d, %%xmm9 ;\n" + "punpckldq %%xmm4, %%xmm0 ;\n" + "punpckldq %%xmm3, %%xmm8 ;\n" + "punpckldq %%xmm5, %%xmm1 ;\n" + "punpckldq %%xmm7, %%xmm6 ;\n" + "punpckldq %%xmm9, %%xmm2 ;\n" + "punpcklqdq %%xmm8, %%xmm0 ;\n" + "punpcklqdq %%xmm6, %%xmm1 ;\n" + + /* set up 2p in to 3/4 */ + "movl $0x7ffffda, %%ecx ;\n" + "movl $0x3fffffe, %%edx ;\n" + "movl $0x7fffffe, %%eax ;\n" + "movd %%ecx, %%xmm3 ;\n" + "movd %%edx, %%xmm5 ;\n" + "movd %%eax, %%xmm4 ;\n" + "punpckldq %%xmm5, %%xmm3 ;\n" + "punpckldq %%xmm5, %%xmm4 ;\n" + "punpcklqdq %%xmm4, %%xmm3 ;\n" + "movdqa %%xmm4, %%xmm5 ;\n" + "punpcklqdq %%xmm4, %%xmm4 ;\n" + + /* subtract and conditionally move */ + "movl %3, %%ecx ;\n" + "sub $1, %%ecx ;\n" + "movd %%ecx, %%xmm6 ;\n" + "pshufd $0x00, %%xmm6, %%xmm6 ;\n" + "movdqa %%xmm6, %%xmm7 ;\n" + "psubd %%xmm0, %%xmm3 ;\n" + "psubd %%xmm1, %%xmm4 ;\n" + "psubd %%xmm2, %%xmm5 ;\n" + "pand %%xmm6, %%xmm0 ;\n" + "pand %%xmm6, %%xmm1 ;\n" + "pand %%xmm6, %%xmm2 ;\n" + "pandn %%xmm3, %%xmm6 ;\n" + "movdqa %%xmm7, %%xmm3 ;\n" + "pandn %%xmm4, %%xmm7 ;\n" + "pandn %%xmm5, %%xmm3 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm3, %%xmm2 ;\n" + + /* store t2d */ + "movdqa %%xmm0, 80(%2) ;\n" + "movdqa %%xmm1, 96(%2) ;\n" + "movd %%xmm2, %%rax ;\n" + "movq %%rax, 112(%2) ;\n" + : + : "m"(u), "r"(&table[pos * 8]), "r"(t), "m"(sign) /* %0 = u, %1 = table, %2 = t, %3 = sign */ + : + "%rax", "%rcx", "%rdx", "%rdi", "%rsi", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", + "%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm14", "%xmm14", + "cc", "memory" + ); +} + +#endif /* defined(ED25519_GCC_64BIT_32BIT_CHOOSE) */ + diff --git a/src/ext/ed25519/donna/ed25519-donna-64bit-x86.h b/src/ext/ed25519/donna/ed25519-donna-64bit-x86.h new file mode 100644 index 0000000..30bd472 --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-donna-64bit-x86.h @@ -0,0 +1,351 @@ +#if defined(ED25519_GCC_64BIT_X86_CHOOSE) + +#define HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS + +DONNA_NOINLINE static void +ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) { + int64_t breg = (int64_t)b; + uint64_t sign = (uint64_t)breg >> 63; + uint64_t mask = ~(sign - 1); + uint64_t u = (breg + mask) ^ mask; + + __asm__ __volatile__ ( + /* ysubx+xaddy+t2d */ + "movq %0, %%rax ;\n" + "movd %%rax, %%xmm14 ;\n" + "pshufd $0x00, %%xmm14, %%xmm14 ;\n" + "pxor %%xmm0, %%xmm0 ;\n" + "pxor %%xmm1, %%xmm1 ;\n" + "pxor %%xmm2, %%xmm2 ;\n" + "pxor %%xmm3, %%xmm3 ;\n" + "pxor %%xmm4, %%xmm4 ;\n" + "pxor %%xmm5, %%xmm5 ;\n" + + /* 0 */ + "movq $0, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movq $1, %%rax ;\n" + "movd %%rax, %%xmm6 ;\n" + "pxor %%xmm7, %%xmm7 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm6, %%xmm2 ;\n" + "por %%xmm7, %%xmm3 ;\n" + + /* 1 */ + "movq $1, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 0(%1), %%xmm6 ;\n" + "movdqa 16(%1), %%xmm7 ;\n" + "movdqa 32(%1), %%xmm8 ;\n" + "movdqa 48(%1), %%xmm9 ;\n" + "movdqa 64(%1), %%xmm10 ;\n" + "movdqa 80(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 2 */ + "movq $2, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 96(%1), %%xmm6 ;\n" + "movdqa 112(%1), %%xmm7 ;\n" + "movdqa 128(%1), %%xmm8 ;\n" + "movdqa 144(%1), %%xmm9 ;\n" + "movdqa 160(%1), %%xmm10 ;\n" + "movdqa 176(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 3 */ + "movq $3, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 192(%1), %%xmm6 ;\n" + "movdqa 208(%1), %%xmm7 ;\n" + "movdqa 224(%1), %%xmm8 ;\n" + "movdqa 240(%1), %%xmm9 ;\n" + "movdqa 256(%1), %%xmm10 ;\n" + "movdqa 272(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 4 */ + "movq $4, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 288(%1), %%xmm6 ;\n" + "movdqa 304(%1), %%xmm7 ;\n" + "movdqa 320(%1), %%xmm8 ;\n" + "movdqa 336(%1), %%xmm9 ;\n" + "movdqa 352(%1), %%xmm10 ;\n" + "movdqa 368(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 5 */ + "movq $5, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 384(%1), %%xmm6 ;\n" + "movdqa 400(%1), %%xmm7 ;\n" + "movdqa 416(%1), %%xmm8 ;\n" + "movdqa 432(%1), %%xmm9 ;\n" + "movdqa 448(%1), %%xmm10 ;\n" + "movdqa 464(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 6 */ + "movq $6, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 480(%1), %%xmm6 ;\n" + "movdqa 496(%1), %%xmm7 ;\n" + "movdqa 512(%1), %%xmm8 ;\n" + "movdqa 528(%1), %%xmm9 ;\n" + "movdqa 544(%1), %%xmm10 ;\n" + "movdqa 560(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 7 */ + "movq $7, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 576(%1), %%xmm6 ;\n" + "movdqa 592(%1), %%xmm7 ;\n" + "movdqa 608(%1), %%xmm8 ;\n" + "movdqa 624(%1), %%xmm9 ;\n" + "movdqa 640(%1), %%xmm10 ;\n" + "movdqa 656(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 8 */ + "movq $8, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 672(%1), %%xmm6 ;\n" + "movdqa 688(%1), %%xmm7 ;\n" + "movdqa 704(%1), %%xmm8 ;\n" + "movdqa 720(%1), %%xmm9 ;\n" + "movdqa 736(%1), %%xmm10 ;\n" + "movdqa 752(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* conditionally swap ysubx and xaddy */ + "movq %3, %%rax ;\n" + "xorq $1, %%rax ;\n" + "movd %%rax, %%xmm14 ;\n" + "pxor %%xmm15, %%xmm15 ;\n" + "pshufd $0x00, %%xmm14, %%xmm14 ;\n" + "pxor %%xmm0, %%xmm2 ;\n" + "pxor %%xmm1, %%xmm3 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa %%xmm2, %%xmm6 ;\n" + "movdqa %%xmm3, %%xmm7 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pxor %%xmm6, %%xmm0 ;\n" + "pxor %%xmm7, %%xmm1 ;\n" + "pxor %%xmm0, %%xmm2 ;\n" + "pxor %%xmm1, %%xmm3 ;\n" + + /* store ysubx */ + "movq $0x7ffffffffffff, %%rax ;\n" + "movd %%xmm0, %%rcx ;\n" + "movd %%xmm0, %%r8 ;\n" + "movd %%xmm1, %%rsi ;\n" + "pshufd $0xee, %%xmm0, %%xmm0 ;\n" + "pshufd $0xee, %%xmm1, %%xmm1 ;\n" + "movd %%xmm0, %%rdx ;\n" + "movd %%xmm1, %%rdi ;\n" + "shrdq $51, %%rdx, %%r8 ;\n" + "shrdq $38, %%rsi, %%rdx ;\n" + "shrdq $25, %%rdi, %%rsi ;\n" + "shrq $12, %%rdi ;\n" + "andq %%rax, %%rcx ;\n" + "andq %%rax, %%r8 ;\n" + "andq %%rax, %%rdx ;\n" + "andq %%rax, %%rsi ;\n" + "andq %%rax, %%rdi ;\n" + "movq %%rcx, 0(%2) ;\n" + "movq %%r8, 8(%2) ;\n" + "movq %%rdx, 16(%2) ;\n" + "movq %%rsi, 24(%2) ;\n" + "movq %%rdi, 32(%2) ;\n" + + /* store xaddy */ + "movq $0x7ffffffffffff, %%rax ;\n" + "movd %%xmm2, %%rcx ;\n" + "movd %%xmm2, %%r8 ;\n" + "movd %%xmm3, %%rsi ;\n" + "pshufd $0xee, %%xmm2, %%xmm2 ;\n" + "pshufd $0xee, %%xmm3, %%xmm3 ;\n" + "movd %%xmm2, %%rdx ;\n" + "movd %%xmm3, %%rdi ;\n" + "shrdq $51, %%rdx, %%r8 ;\n" + "shrdq $38, %%rsi, %%rdx ;\n" + "shrdq $25, %%rdi, %%rsi ;\n" + "shrq $12, %%rdi ;\n" + "andq %%rax, %%rcx ;\n" + "andq %%rax, %%r8 ;\n" + "andq %%rax, %%rdx ;\n" + "andq %%rax, %%rsi ;\n" + "andq %%rax, %%rdi ;\n" + "movq %%rcx, 40(%2) ;\n" + "movq %%r8, 48(%2) ;\n" + "movq %%rdx, 56(%2) ;\n" + "movq %%rsi, 64(%2) ;\n" + "movq %%rdi, 72(%2) ;\n" + + /* extract t2d */ + "movq $0x7ffffffffffff, %%rax ;\n" + "movd %%xmm4, %%rcx ;\n" + "movd %%xmm4, %%r8 ;\n" + "movd %%xmm5, %%rsi ;\n" + "pshufd $0xee, %%xmm4, %%xmm4 ;\n" + "pshufd $0xee, %%xmm5, %%xmm5 ;\n" + "movd %%xmm4, %%rdx ;\n" + "movd %%xmm5, %%rdi ;\n" + "shrdq $51, %%rdx, %%r8 ;\n" + "shrdq $38, %%rsi, %%rdx ;\n" + "shrdq $25, %%rdi, %%rsi ;\n" + "shrq $12, %%rdi ;\n" + "andq %%rax, %%rcx ;\n" + "andq %%rax, %%r8 ;\n" + "andq %%rax, %%rdx ;\n" + "andq %%rax, %%rsi ;\n" + "andq %%rax, %%rdi ;\n" + + /* conditionally negate t2d */ + "movq %3, %%rax ;\n" + "movq $0xfffffffffffda, %%r9 ;\n" + "movq $0xffffffffffffe, %%r10 ;\n" + "movq %%r10, %%r11 ;\n" + "movq %%r10, %%r12 ;\n" + "movq %%r10, %%r13 ;\n" + "subq %%rcx, %%r9 ;\n" + "subq %%r8, %%r10 ;\n" + "subq %%rdx, %%r11 ;\n" + "subq %%rsi, %%r12 ;\n" + "subq %%rdi, %%r13 ;\n" + "cmpq $1, %%rax ;\n" + "cmove %%r9, %%rcx ;\n" + "cmove %%r10, %%r8 ;\n" + "cmove %%r11, %%rdx ;\n" + "cmove %%r12, %%rsi ;\n" + "cmove %%r13, %%rdi ;\n" + + /* store t2d */ + "movq %%rcx, 80(%2) ;\n" + "movq %%r8, 88(%2) ;\n" + "movq %%rdx, 96(%2) ;\n" + "movq %%rsi, 104(%2) ;\n" + "movq %%rdi, 112(%2) ;\n" + : + : "m"(u), "r"(&table[pos * 8]), "r"(t), "m"(sign) /* %0 = u, %1 = table, %2 = t, %3 = sign */ + : + "%rax", "%rcx", "%rdx", "%rdi", "%rsi", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", + "%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm14", "%xmm14", + "cc", "memory" + ); +} + +#endif /* defined(ED25519_GCC_64BIT_X86_CHOOSE) */ + diff --git a/src/ext/ed25519/donna/ed25519-donna-basepoint-table.h b/src/ext/ed25519/donna/ed25519-donna-basepoint-table.h new file mode 100644 index 0000000..41dcd52 --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-donna-basepoint-table.h @@ -0,0 +1,259 @@ +/* multiples of the base point in packed {ysubx, xaddy, t2d} form */ +static const uint8_t ALIGN(16) ge25519_niels_base_multiples[256][96] = { + {0x3e,0x91,0x40,0xd7,0x05,0x39,0x10,0x9d,0xb3,0xbe,0x40,0xd1,0x05,0x9f,0x39,0xfd,0x09,0x8a,0x8f,0x68,0x34,0x84,0xc1,0xa5,0x67,0x12,0xf8,0x98,0x92,0x2f,0xfd,0x44,0x85,0x3b,0x8c,0xf5,0xc6,0x93,0xbc,0x2f,0x19,0x0e,0x8c,0xfb,0xc6,0x2d,0x93,0xcf,0xc2,0x42,0x3d,0x64,0x98,0x48,0x0b,0x27,0x65,0xba,0xd4,0x33,0x3a,0x9d,0xcf,0x07,0x59,0xbb,0x6f,0x4b,0x67,0x15,0xbd,0xdb,0xea,0xa5,0xa2,0xee,0x00,0x3f,0xe1,0x41,0xfa,0xc6,0x57,0xc9,0x1c,0x9d,0xd4,0xcd,0xca,0xec,0x16,0xaf,0x1f,0xbe,0x0e,0x4f}, + {0xa8,0xd5,0xb4,0x42,0x60,0xa5,0x99,0x8a,0xf6,0xac,0x60,0x4e,0x0c,0x81,0x2b,0x8f,0xaa,0x37,0x6e,0xb1,0x6b,0x23,0x9e,0xe0,0x55,0x25,0xc9,0x69,0xa6,0x95,0xb5,0x6b,0xd7,0x71,0x3c,0x93,0xfc,0xe7,0x24,0x92,0xb5,0xf5,0x0f,0x7a,0x96,0x9d,0x46,0x9f,0x02,0x07,0xd6,0xe1,0x65,0x9a,0xa6,0x5a,0x2e,0x2e,0x7d,0xa8,0x3f,0x06,0x0c,0x59,0x02,0x68,0xd3,0xda,0xaa,0x7e,0x34,0x6e,0x05,0x48,0xee,0x83,0x93,0x59,0xf3,0xba,0x26,0x68,0x07,0xe6,0x10,0xbe,0xca,0x3b,0xb8,0xd1,0x5e,0x16,0x0a,0x4f,0x31,0x49}, + {0x65,0xd2,0xfc,0xa4,0xe8,0x1f,0x61,0x56,0x7d,0xba,0xc1,0xe5,0xfd,0x53,0xd3,0x3b,0xbd,0xd6,0x4b,0x21,0x1a,0xf3,0x31,0x81,0x62,0xda,0x5b,0x55,0x87,0x15,0xb9,0x2a,0x30,0x97,0xee,0x4c,0xa8,0xb0,0x25,0xaf,0x8a,0x4b,0x86,0xe8,0x30,0x84,0x5a,0x02,0x32,0x67,0x01,0x9f,0x02,0x50,0x1b,0xc1,0xf4,0xf8,0x80,0x9a,0x1b,0x4e,0x16,0x7a,0x34,0x48,0x67,0xf1,0xf4,0x11,0xf2,0x9b,0x95,0xf8,0x2d,0xf6,0x17,0x6b,0x4e,0xb8,0x4e,0x2a,0x72,0x5b,0x07,0x6f,0xde,0xd7,0x21,0x2a,0xbb,0x63,0xb9,0x04,0x9a,0x54}, + {0xbf,0x18,0x68,0x05,0x0a,0x05,0xfe,0x95,0xa9,0xfa,0x60,0x56,0x71,0x89,0x7e,0x32,0x73,0x50,0xa0,0x06,0xcd,0xe3,0xe8,0xc3,0x9a,0xa4,0x45,0x74,0x4c,0x3f,0x93,0x27,0x9f,0x09,0xfc,0x8e,0xb9,0x51,0x73,0x28,0x38,0x25,0xfd,0x7d,0xf4,0xc6,0x65,0x67,0x65,0x92,0x0a,0xfb,0x3d,0x8d,0x34,0xca,0x27,0x87,0xe5,0x21,0x03,0x91,0x0e,0x68,0xb0,0x26,0x14,0xe5,0xec,0x45,0x1e,0xbf,0x94,0x0f,0xba,0x6d,0x3d,0xc6,0x2b,0xe3,0xc0,0x52,0xf8,0x8c,0xd5,0x74,0x29,0xe4,0x18,0x4c,0xe6,0xb0,0xb1,0x79,0xf0,0x44}, + {0xba,0xd6,0x47,0xa4,0xc3,0x82,0x91,0x7f,0xb7,0x29,0x27,0x4b,0xd1,0x14,0x00,0xd5,0x87,0xa0,0x64,0xb8,0x1c,0xf1,0x3c,0xe3,0xf3,0x55,0x1b,0xeb,0x73,0x7e,0x4a,0x15,0x33,0xbb,0xa5,0x08,0x44,0xbc,0x12,0xa2,0x02,0xed,0x5e,0xc7,0xc3,0x48,0x50,0x8d,0x44,0xec,0xbf,0x5a,0x0c,0xeb,0x1b,0xdd,0xeb,0x06,0xe2,0x46,0xf1,0xcc,0x45,0x29,0xb3,0x03,0xd0,0xe7,0x79,0xa1,0x32,0xc8,0x7e,0x4d,0x12,0x00,0x0a,0x9d,0x72,0x5f,0xf3,0x8f,0x6d,0x0e,0xa1,0xd4,0xc1,0x62,0x98,0x7a,0xb2,0x38,0x59,0xac,0xb8,0x68}, + {0xa4,0x8c,0x7d,0x7b,0xb6,0x06,0x98,0x49,0x39,0x27,0xd2,0x27,0x84,0xe2,0x5b,0x57,0xb9,0x53,0x45,0x20,0xe7,0x5c,0x08,0xbb,0x84,0x78,0x41,0xae,0x41,0x4c,0xb6,0x38,0x31,0x71,0x15,0x77,0xeb,0xee,0x0c,0x3a,0x88,0xaf,0xc8,0x00,0x89,0x15,0x27,0x9b,0x36,0xa7,0x59,0xda,0x68,0xb6,0x65,0x80,0xbd,0x38,0xcc,0xa2,0xb6,0x7b,0xe5,0x51,0xa4,0xe3,0x9d,0x68,0x91,0xad,0x9d,0x8f,0x37,0x91,0xfb,0xf8,0x28,0x24,0x5f,0x17,0x88,0xb9,0xcf,0x9f,0x32,0xb5,0x0a,0x05,0x9f,0xc0,0x54,0x13,0xa2,0xdf,0x65,0x78}, + {0xb1,0x21,0x32,0xaa,0x9a,0x2c,0x6f,0xba,0xa7,0x23,0xba,0x3b,0x53,0x21,0xa0,0x6c,0x3a,0x2c,0x19,0x92,0x4f,0x76,0xea,0x9d,0xe0,0x17,0x53,0x2e,0x5d,0xdd,0x6e,0x1d,0xbf,0xa3,0x4e,0x94,0xd0,0x5c,0x1a,0x6b,0xd2,0xc0,0x9d,0xb3,0x3a,0x35,0x70,0x74,0x49,0x2e,0x54,0x28,0x82,0x52,0xb2,0x71,0x7e,0x92,0x3c,0x28,0x69,0xea,0x1b,0x46,0x36,0xda,0x0f,0xab,0xac,0x8a,0x7a,0x21,0xc8,0x49,0x35,0x3d,0x54,0xc6,0x28,0xa5,0x68,0x75,0xab,0x13,0x8b,0x5b,0xd0,0x37,0x37,0xbc,0x2c,0x3a,0x62,0xef,0x3c,0x23}, + {0xd9,0x34,0x92,0xf3,0xed,0x5d,0xa7,0xe2,0xf9,0x58,0xb5,0xe1,0x80,0x76,0x3d,0x96,0xfb,0x23,0x3c,0x6e,0xac,0x41,0x27,0x2c,0xc3,0x01,0x0e,0x32,0xa1,0x24,0x90,0x3a,0x8f,0x3e,0xdd,0x04,0x66,0x59,0xb7,0x59,0x2c,0x70,0x88,0xe2,0x77,0x03,0xb3,0x6c,0x23,0xc3,0xd9,0x5e,0x66,0x9c,0x33,0xb1,0x2f,0xe5,0xbc,0x61,0x60,0xe7,0x15,0x09,0x7e,0xa3,0x34,0xa8,0x35,0xe8,0x7d,0xdf,0xea,0x57,0x98,0x68,0xda,0x9c,0xe1,0x8b,0x26,0xb3,0x67,0x71,0x36,0x85,0x11,0x2c,0xc2,0xd5,0xef,0xdb,0xd9,0xb3,0x9e,0x58}, + {0x5e,0x51,0xaa,0x49,0x54,0x63,0x5b,0xed,0x3a,0x82,0xc6,0x0b,0x9f,0xc4,0x65,0xa8,0xc4,0xd1,0x42,0x5b,0xe9,0x1f,0x0c,0x85,0xb9,0x15,0xd3,0x03,0x6f,0x6d,0xd7,0x30,0x1d,0x9c,0x2f,0x63,0x0e,0xdd,0xcc,0x2e,0x15,0x31,0x89,0x76,0x96,0xb6,0xd0,0x51,0x58,0x7a,0x63,0xa8,0x6b,0xb7,0xdf,0x52,0x39,0xef,0x0e,0xa0,0x49,0x7d,0xd3,0x6d,0xc7,0xe4,0x06,0x21,0x17,0x44,0x44,0x6c,0x69,0x7f,0x8d,0x92,0x80,0xd6,0x53,0xfb,0x26,0x3f,0x4d,0x69,0xa4,0x9e,0x73,0xb4,0xb0,0x4b,0x86,0x2e,0x11,0x97,0xc6,0x10}, + {0xde,0x5f,0xbe,0x7d,0x27,0xc4,0x93,0x64,0xa2,0x7e,0xad,0x19,0xad,0x4f,0x5d,0x26,0x90,0x45,0x30,0x46,0xc8,0xdf,0x00,0x0e,0x09,0xfe,0x66,0xed,0xab,0x1c,0xe6,0x25,0x05,0xc8,0x58,0x83,0xa0,0x2a,0xa6,0x0c,0x47,0x42,0x20,0x7a,0xe3,0x4a,0x3d,0x6a,0xdc,0xed,0x11,0x3b,0xa6,0xd3,0x64,0x74,0xef,0x06,0x08,0x55,0xaf,0x9b,0xbf,0x03,0x04,0x66,0x58,0xcc,0x28,0xe1,0x13,0x3f,0x7e,0x74,0x59,0xb4,0xec,0x73,0x58,0x6f,0xf5,0x68,0x12,0xcc,0xed,0x3d,0xb6,0xa0,0x2c,0xe2,0x86,0x45,0x63,0x78,0x6d,0x56}, + {0x34,0x08,0xc1,0x9c,0x9f,0xa4,0x37,0x16,0x51,0xc4,0x9b,0xa8,0xd5,0x56,0x8e,0xbc,0xdb,0xd2,0x7f,0x7f,0x0f,0xec,0xb5,0x1c,0xd9,0x35,0xcc,0x5e,0xca,0x5b,0x97,0x33,0xd0,0x2f,0x5a,0xc6,0x85,0x42,0x05,0xa1,0xc3,0x67,0x16,0xf3,0x2a,0x11,0x64,0x6c,0x58,0xee,0x1a,0x73,0x40,0xe2,0x0a,0x68,0x2a,0xb2,0x93,0x47,0xf3,0xa5,0xfb,0x14,0xd4,0xf7,0x85,0x69,0x16,0x46,0xd7,0x3c,0x57,0x00,0xc8,0xc9,0x84,0x5e,0x3e,0x59,0x1e,0x13,0x61,0x7b,0xb6,0xf2,0xc3,0x2f,0x6c,0x52,0xfc,0x83,0xea,0x9c,0x82,0x14}, + {0xc2,0x95,0xdd,0x97,0x84,0x7b,0x43,0xff,0xa7,0xb5,0x4e,0xaa,0x30,0x4e,0x74,0x6c,0x8b,0xe8,0x85,0x3c,0x61,0x5d,0x0c,0x9e,0x73,0x81,0x75,0x5f,0x1e,0xc7,0xd9,0x2f,0xb8,0xec,0x71,0x4e,0x2f,0x0b,0xe7,0x21,0xe3,0x77,0xa4,0x40,0xb9,0xdd,0x56,0xe6,0x80,0x4f,0x1d,0xce,0xce,0x56,0x65,0xbf,0x7e,0x7b,0x5d,0x53,0xc4,0x3b,0xfc,0x05,0xdd,0xde,0xaf,0x52,0xae,0xb3,0xb8,0x24,0xcf,0x30,0x3b,0xed,0x8c,0x63,0x95,0x34,0x95,0x81,0xbe,0xa9,0x83,0xbc,0xa4,0x33,0x04,0x1f,0x65,0x5c,0x47,0x67,0x37,0x37}, + {0xd9,0xad,0xd1,0x40,0xfd,0x99,0xba,0x2f,0x27,0xd0,0xf4,0x96,0x6f,0x16,0x07,0xb3,0xae,0x3b,0xf0,0x15,0x52,0xf0,0x63,0x43,0x99,0xf9,0x18,0x3b,0x6c,0xa5,0xbe,0x1f,0x90,0x65,0x24,0x14,0xcb,0x95,0x40,0x63,0x35,0x55,0xc1,0x16,0x40,0x14,0x12,0xef,0x60,0xbc,0x10,0x89,0x0c,0x14,0x38,0x9e,0x8c,0x7c,0x90,0x30,0x57,0x90,0xf5,0x6b,0x8a,0x5b,0x41,0xe1,0xf1,0x78,0xa7,0x0f,0x7e,0xa7,0xc3,0xba,0xf7,0x9f,0x40,0x06,0x50,0x9a,0xa2,0x9a,0xb8,0xd7,0x52,0x6f,0x56,0x5a,0x63,0x7a,0xf6,0x1c,0x52,0x02}, + 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{0x2e,0x34,0xc5,0x49,0xaf,0x92,0xbc,0x1a,0xd0,0xfa,0xe6,0xb2,0x11,0xd8,0xee,0xff,0x29,0x4e,0xc8,0xfc,0x8d,0x8c,0xa2,0xef,0x43,0xc5,0x4c,0xa4,0x18,0xdf,0xb5,0x11,0xfc,0x75,0xa9,0x42,0x8a,0xbb,0x7b,0xbf,0x58,0xa3,0xad,0x96,0x77,0x39,0x5c,0x8c,0x48,0xaa,0xed,0xcd,0x6f,0xc7,0x7f,0xe2,0xa6,0x20,0xbc,0xf6,0xd7,0x5f,0x73,0x19,0x66,0x42,0xc8,0x42,0xd0,0x90,0xab,0xe3,0x7e,0x54,0x19,0x7f,0x0f,0x8e,0x84,0xeb,0xb9,0x97,0xa4,0x65,0xd0,0xa1,0x03,0x25,0x5f,0x89,0xdf,0x91,0x11,0x91,0xef,0x0f} +}; diff --git a/src/ext/ed25519/donna/ed25519-donna-batchverify.h b/src/ext/ed25519/donna/ed25519-donna-batchverify.h new file mode 100644 index 0000000..43c4923 --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-donna-batchverify.h @@ -0,0 +1,275 @@ +/* + Ed25519 batch verification +*/ + +#define max_batch_size 64 +#define heap_batch_size ((max_batch_size * 2) + 1) + +/* which limb is the 128th bit in? */ +static const size_t limb128bits = (128 + bignum256modm_bits_per_limb - 1) / bignum256modm_bits_per_limb; + +typedef size_t heap_index_t; + +typedef struct batch_heap_t { + unsigned char r[heap_batch_size][16]; /* 128 bit random values */ + ge25519 points[heap_batch_size]; + bignum256modm scalars[heap_batch_size]; + heap_index_t heap[heap_batch_size]; + size_t size; +} batch_heap; + +/* swap two values in the heap */ +static void +heap_swap(heap_index_t *heap, size_t a, size_t b) { + heap_index_t temp; + temp = heap[a]; + heap[a] = heap[b]; + heap[b] = temp; +} + +/* add the scalar at the end of the list to the heap */ +static void +heap_insert_next(batch_heap *heap) { + size_t node = heap->size, parent; + heap_index_t *pheap = heap->heap; + bignum256modm *scalars = heap->scalars; + + /* insert at the bottom */ + pheap[node] = (heap_index_t)node; + + /* sift node up to its sorted spot */ + parent = (node - 1) / 2; + while (node && lt256_modm_batch(scalars[pheap[parent]], scalars[pheap[node]], bignum256modm_limb_size - 1)) { + heap_swap(pheap, parent, node); + node = parent; + parent = (node - 1) / 2; + } + heap->size++; +} + +/* update the heap when the root element is updated */ +static void +heap_updated_root(batch_heap *heap, size_t limbsize) { + size_t node, parent, childr, childl; + heap_index_t *pheap = heap->heap; + bignum256modm *scalars = heap->scalars; + + /* sift root to the bottom */ + parent = 0; + node = 1; + childl = 1; + childr = 2; + while ((childr < heap->size)) { + node = lt256_modm_batch(scalars[pheap[childl]], scalars[pheap[childr]], limbsize) ? childr : childl; + heap_swap(pheap, parent, node); + parent = node; + childl = (parent * 2) + 1; + childr = childl + 1; + } + + /* sift root back up to its sorted spot */ + parent = (node - 1) / 2; + while (node && lte256_modm_batch(scalars[pheap[parent]], scalars[pheap[node]], limbsize)) { + heap_swap(pheap, parent, node); + node = parent; + parent = (node - 1) / 2; + } +} + +/* build the heap with count elements, count must be >= 3 */ +static void +heap_build(batch_heap *heap, size_t count) { + heap->heap[0] = 0; + heap->size = 0; + while (heap->size < count) + heap_insert_next(heap); +} + +/* extend the heap to contain new_count elements */ +static void +heap_extend(batch_heap *heap, size_t new_count) { + while (heap->size < new_count) + heap_insert_next(heap); +} + +/* get the top 2 elements of the heap */ +static void +heap_get_top2(batch_heap *heap, heap_index_t *max1, heap_index_t *max2, size_t limbsize) { + heap_index_t h0 = heap->heap[0], h1 = heap->heap[1], h2 = heap->heap[2]; + if (lt256_modm_batch(heap->scalars[h1], heap->scalars[h2], limbsize)) + h1 = h2; + *max1 = h0; + *max2 = h1; +} + +/* */ +static void +ge25519_multi_scalarmult_vartime_final(ge25519 *r, ge25519 *point, bignum256modm scalar) { + const bignum256modm_element_t topbit = ((bignum256modm_element_t)1 << (bignum256modm_bits_per_limb - 1)); + size_t limb = limb128bits; + bignum256modm_element_t flag; + + if (isone256_modm_batch(scalar)) { + /* this will happen most of the time after bos-carter */ + *r = *point; + return; + } else if (iszero256_modm_batch(scalar)) { + /* this will only happen if all scalars == 0 */ + memset(r, 0, sizeof(*r)); + r->y[0] = 1; + r->z[0] = 1; + return; + } + + *r = *point; + + /* find the limb where first bit is set */ + while (!scalar[limb]) + limb--; + + /* find the first bit */ + flag = topbit; + while ((scalar[limb] & flag) == 0) + flag >>= 1; + + /* exponentiate */ + for (;;) { + ge25519_double(r, r); + if (scalar[limb] & flag) + ge25519_add(r, r, point); + + flag >>= 1; + if (!flag) { + if (!limb--) + break; + flag = topbit; + } + } +} + +/* count must be >= 5 */ +static void +ge25519_multi_scalarmult_vartime(ge25519 *r, batch_heap *heap, size_t count) { + heap_index_t max1, max2; + + /* start with the full limb size */ + size_t limbsize = bignum256modm_limb_size - 1; + + /* whether the heap has been extended to include the 128 bit scalars */ + int extended = 0; + + /* grab an odd number of scalars to build the heap, unknown limb sizes */ + heap_build(heap, ((count + 1) / 2) | 1); + + for (;;) { + heap_get_top2(heap, &max1, &max2, limbsize); + + /* only one scalar remaining, we're done */ + if (iszero256_modm_batch(heap->scalars[max2])) + break; + + /* exhausted another limb? */ + if (!heap->scalars[max1][limbsize]) + limbsize -= 1; + + /* can we extend to the 128 bit scalars? */ + if (!extended && isatmost128bits256_modm_batch(heap->scalars[max1])) { + heap_extend(heap, count); + heap_get_top2(heap, &max1, &max2, limbsize); + extended = 1; + } + + sub256_modm_batch(heap->scalars[max1], heap->scalars[max1], heap->scalars[max2], limbsize); + ge25519_add(&heap->points[max2], &heap->points[max2], &heap->points[max1]); + heap_updated_root(heap, limbsize); + } + + ge25519_multi_scalarmult_vartime_final(r, &heap->points[max1], heap->scalars[max1]); +} + +/* not actually used for anything other than testing */ +unsigned char batch_point_buffer[3][32]; + +static int +ge25519_is_neutral_vartime(const ge25519 *p) { + static const unsigned char zero[32] = {0}; + unsigned char point_buffer[3][32]; + curve25519_contract(point_buffer[0], p->x); + curve25519_contract(point_buffer[1], p->y); + curve25519_contract(point_buffer[2], p->z); + memcpy(batch_point_buffer[1], point_buffer[1], 32); + return (memcmp(point_buffer[0], zero, 32) == 0) && (memcmp(point_buffer[1], point_buffer[2], 32) == 0); +} + +int +ED25519_FN(ed25519_sign_open_batch) (const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid) { + batch_heap ALIGN(16) batch; + ge25519 ALIGN(16) p; + bignum256modm *r_scalars; + size_t i, batchsize; + unsigned char hram[64]; + int ret = 0; + + for (i = 0; i < num; i++) + valid[i] = 1; + + while (num > 3) { + batchsize = (num > max_batch_size) ? max_batch_size : num; + + /* generate r (scalars[batchsize+1]..scalars[2*batchsize] */ + ED25519_FN(ed25519_randombytes_unsafe) (batch.r, batchsize * 16); + r_scalars = &batch.scalars[batchsize + 1]; + for (i = 0; i < batchsize; i++) + expand256_modm(r_scalars[i], batch.r[i], 16); + + /* compute scalars[0] = ((r1s1 + r2s2 + ...)) */ + for (i = 0; i < batchsize; i++) { + expand256_modm(batch.scalars[i], RS[i] + 32, 32); + mul256_modm(batch.scalars[i], batch.scalars[i], r_scalars[i]); + } + for (i = 1; i < batchsize; i++) + add256_modm(batch.scalars[0], batch.scalars[0], batch.scalars[i]); + + /* compute scalars[1]..scalars[batchsize] as r[i]*H(R[i],A[i],m[i]) */ + for (i = 0; i < batchsize; i++) { + ed25519_hram(hram, RS[i], pk[i], m[i], mlen[i]); + expand256_modm(batch.scalars[i+1], hram, 64); + mul256_modm(batch.scalars[i+1], batch.scalars[i+1], r_scalars[i]); + } + + /* compute points */ + batch.points[0] = ge25519_basepoint; + for (i = 0; i < batchsize; i++) + if (!ge25519_unpack_negative_vartime(&batch.points[i+1], pk[i])) + goto fallback; + for (i = 0; i < batchsize; i++) + if (!ge25519_unpack_negative_vartime(&batch.points[batchsize+i+1], RS[i])) + goto fallback; + + ge25519_multi_scalarmult_vartime(&p, &batch, (batchsize * 2) + 1); + if (!ge25519_is_neutral_vartime(&p)) { + ret |= 2; + + fallback: + for (i = 0; i < batchsize; i++) { + valid[i] = ED25519_FN(ed25519_sign_open) (m[i], mlen[i], pk[i], RS[i]) ? 0 : 1; + ret |= (valid[i] ^ 1); + } + } + + m += batchsize; + mlen += batchsize; + pk += batchsize; + RS += batchsize; + num -= batchsize; + valid += batchsize; + } + + for (i = 0; i < num; i++) { + valid[i] = ED25519_FN(ed25519_sign_open) (m[i], mlen[i], pk[i], RS[i]) ? 0 : 1; + ret |= (valid[i] ^ 1); + } + + return ret; +} + diff --git a/src/ext/ed25519/donna/ed25519-donna-impl-base.h b/src/ext/ed25519/donna/ed25519-donna-impl-base.h new file mode 100644 index 0000000..48913ed --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-donna-impl-base.h @@ -0,0 +1,364 @@ +/* + conversions +*/ + +DONNA_INLINE static void +ge25519_p1p1_to_partial(ge25519 *r, const ge25519_p1p1 *p) { + curve25519_mul(r->x, p->x, p->t); + curve25519_mul(r->y, p->y, p->z); + curve25519_mul(r->z, p->z, p->t); +} + +DONNA_INLINE static void +ge25519_p1p1_to_full(ge25519 *r, const ge25519_p1p1 *p) { + curve25519_mul(r->x, p->x, p->t); + curve25519_mul(r->y, p->y, p->z); + curve25519_mul(r->z, p->z, p->t); + curve25519_mul(r->t, p->x, p->y); +} + +static void +ge25519_full_to_pniels(ge25519_pniels *p, const ge25519 *r) { + curve25519_sub(p->ysubx, r->y, r->x); + curve25519_add(p->xaddy, r->y, r->x); + curve25519_copy(p->z, r->z); + curve25519_mul(p->t2d, r->t, ge25519_ec2d); +} + +/* + adding & doubling +*/ + +static void +ge25519_add_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519 *q) { + bignum25519 a,b,c,d,t,u; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_sub(t, q->y, q->x); + curve25519_add(u, q->y, q->x); + curve25519_mul(a, a, t); + curve25519_mul(b, b, u); + curve25519_mul(c, p->t, q->t); + curve25519_mul(c, c, ge25519_ec2d); + curve25519_mul(d, p->z, q->z); + curve25519_add(d, d, d); + curve25519_sub(r->x, b, a); + curve25519_add(r->y, b, a); + curve25519_add_after_basic(r->z, d, c); + curve25519_sub_after_basic(r->t, d, c); +} + + +static void +ge25519_double_p1p1(ge25519_p1p1 *r, const ge25519 *p) { + bignum25519 a,b,c; + + curve25519_square(a, p->x); + curve25519_square(b, p->y); + curve25519_square(c, p->z); + curve25519_add_reduce(c, c, c); + curve25519_add(r->x, p->x, p->y); + curve25519_square(r->x, r->x); + curve25519_add(r->y, b, a); + curve25519_sub(r->z, b, a); + curve25519_sub_after_basic(r->x, r->x, r->y); + curve25519_sub_after_basic(r->t, c, r->z); +} + +static void +ge25519_nielsadd2_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_niels *q, unsigned char signbit) { + const bignum25519 *qb = (const bignum25519 *)q; + bignum25519 *rb = (bignum25519 *)r; + bignum25519 a,b,c; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_mul(a, a, qb[signbit]); /* x for +, y for - */ + curve25519_mul(r->x, b, qb[signbit^1]); /* y for +, x for - */ + curve25519_add(r->y, r->x, a); + curve25519_sub(r->x, r->x, a); + curve25519_mul(c, p->t, q->t2d); + curve25519_add_reduce(r->t, p->z, p->z); + curve25519_copy(r->z, r->t); + curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */ + curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */ +} + +static void +ge25519_pnielsadd_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_pniels *q, unsigned char signbit) { + const bignum25519 *qb = (const bignum25519 *)q; + bignum25519 *rb = (bignum25519 *)r; + bignum25519 a,b,c; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_mul(a, a, qb[signbit]); /* ysubx for +, xaddy for - */ + curve25519_mul(r->x, b, qb[signbit^1]); /* xaddy for +, ysubx for - */ + curve25519_add(r->y, r->x, a); + curve25519_sub(r->x, r->x, a); + curve25519_mul(c, p->t, q->t2d); + curve25519_mul(r->t, p->z, q->z); + curve25519_add_reduce(r->t, r->t, r->t); + curve25519_copy(r->z, r->t); + curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */ + curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */ +} + +static void +ge25519_double_partial(ge25519 *r, const ge25519 *p) { + ge25519_p1p1 t; + ge25519_double_p1p1(&t, p); + ge25519_p1p1_to_partial(r, &t); +} + +static void +ge25519_double(ge25519 *r, const ge25519 *p) { + ge25519_p1p1 t; + ge25519_double_p1p1(&t, p); + ge25519_p1p1_to_full(r, &t); +} + +static void +ge25519_add(ge25519 *r, const ge25519 *p, const ge25519 *q) { + ge25519_p1p1 t; + ge25519_add_p1p1(&t, p, q); + ge25519_p1p1_to_full(r, &t); +} + +static void +ge25519_nielsadd2(ge25519 *r, const ge25519_niels *q) { + bignum25519 a,b,c,e,f,g,h; + + curve25519_sub(a, r->y, r->x); + curve25519_add(b, r->y, r->x); + curve25519_mul(a, a, q->ysubx); + curve25519_mul(e, b, q->xaddy); + curve25519_add(h, e, a); + curve25519_sub(e, e, a); + curve25519_mul(c, r->t, q->t2d); + curve25519_add(f, r->z, r->z); + curve25519_add_after_basic(g, f, c); + curve25519_sub_after_basic(f, f, c); + curve25519_mul(r->x, e, f); + curve25519_mul(r->y, h, g); + curve25519_mul(r->z, g, f); + curve25519_mul(r->t, e, h); +} + +static void +ge25519_pnielsadd(ge25519_pniels *r, const ge25519 *p, const ge25519_pniels *q) { + bignum25519 a,b,c,x,y,z,t; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_mul(a, a, q->ysubx); + curve25519_mul(x, b, q->xaddy); + curve25519_add(y, x, a); + curve25519_sub(x, x, a); + curve25519_mul(c, p->t, q->t2d); + curve25519_mul(t, p->z, q->z); + curve25519_add(t, t, t); + curve25519_add_after_basic(z, t, c); + curve25519_sub_after_basic(t, t, c); + curve25519_mul(r->xaddy, x, t); + curve25519_mul(r->ysubx, y, z); + curve25519_mul(r->z, z, t); + curve25519_mul(r->t2d, x, y); + curve25519_copy(y, r->ysubx); + curve25519_sub(r->ysubx, r->ysubx, r->xaddy); + curve25519_add(r->xaddy, r->xaddy, y); + curve25519_mul(r->t2d, r->t2d, ge25519_ec2d); +} + + +/* + pack & unpack +*/ + +static void +ge25519_pack(unsigned char r[32], const ge25519 *p) { + bignum25519 tx, ty, zi; + unsigned char parity[32]; + curve25519_recip(zi, p->z); + curve25519_mul(tx, p->x, zi); + curve25519_mul(ty, p->y, zi); + curve25519_contract(r, ty); + curve25519_contract(parity, tx); + r[31] ^= ((parity[0] & 1) << 7); +} + +static int +ge25519_unpack_negative_vartime(ge25519 *r, const unsigned char p[32]) { + static const unsigned char zero[32] = {0}; + static const bignum25519 one = {1}; + unsigned char parity = p[31] >> 7; + unsigned char check[32]; + bignum25519 t, root, num, den, d3; + + curve25519_expand(r->y, p); + curve25519_copy(r->z, one); + curve25519_square(num, r->y); /* x = y^2 */ + curve25519_mul(den, num, ge25519_ecd); /* den = dy^2 */ + curve25519_sub_reduce(num, num, r->z); /* x = y^1 - 1 */ + curve25519_add(den, den, r->z); /* den = dy^2 + 1 */ + + /* Computation of sqrt(num/den) */ + /* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */ + curve25519_square(t, den); + curve25519_mul(d3, t, den); + curve25519_square(r->x, d3); + curve25519_mul(r->x, r->x, den); + curve25519_mul(r->x, r->x, num); + curve25519_pow_two252m3(r->x, r->x); + + /* 2. computation of r->x = num * den^3 * (num*den^7)^((p-5)/8) */ + curve25519_mul(r->x, r->x, d3); + curve25519_mul(r->x, r->x, num); + + /* 3. Check if either of the roots works: */ + curve25519_square(t, r->x); + curve25519_mul(t, t, den); + curve25519_sub_reduce(root, t, num); + curve25519_contract(check, root); + if (!ed25519_verify(check, zero, 32)) { + curve25519_add_reduce(t, t, num); + curve25519_contract(check, t); + if (!ed25519_verify(check, zero, 32)) + return 0; + curve25519_mul(r->x, r->x, ge25519_sqrtneg1); + } + + curve25519_contract(check, r->x); + if ((check[0] & 1) == parity) { + curve25519_copy(t, r->x); + curve25519_neg(r->x, t); + } + curve25519_mul(r->t, r->x, r->y); + return 1; +} + + +/* + scalarmults +*/ + +#define S1_SWINDOWSIZE 5 +#define S1_TABLE_SIZE (1<<(S1_SWINDOWSIZE-2)) +#define S2_SWINDOWSIZE 7 +#define S2_TABLE_SIZE (1<<(S2_SWINDOWSIZE-2)) + +/* computes [s1]p1 + [s2]basepoint */ +static void +ge25519_double_scalarmult_vartime(ge25519 *r, const ge25519 *p1, const bignum256modm s1, const bignum256modm s2) { + signed char slide1[256], slide2[256]; + ge25519_pniels pre1[S1_TABLE_SIZE]; + ge25519 d1; + ge25519_p1p1 t; + int32_t i; + + contract256_slidingwindow_modm(slide1, s1, S1_SWINDOWSIZE); + contract256_slidingwindow_modm(slide2, s2, S2_SWINDOWSIZE); + + ge25519_double(&d1, p1); + ge25519_full_to_pniels(pre1, p1); + for (i = 0; i < S1_TABLE_SIZE - 1; i++) + ge25519_pnielsadd(&pre1[i+1], &d1, &pre1[i]); + + /* set neutral */ + memset(r, 0, sizeof(ge25519)); + r->y[0] = 1; + r->z[0] = 1; + + i = 255; + while ((i >= 0) && !(slide1[i] | slide2[i])) + i--; + + for (; i >= 0; i--) { + ge25519_double_p1p1(&t, r); + + if (slide1[i]) { + ge25519_p1p1_to_full(r, &t); + ge25519_pnielsadd_p1p1(&t, r, &pre1[abs(slide1[i]) / 2], (unsigned char)slide1[i] >> 7); + } + + if (slide2[i]) { + ge25519_p1p1_to_full(r, &t); + ge25519_nielsadd2_p1p1(&t, r, &ge25519_niels_sliding_multiples[abs(slide2[i]) / 2], (unsigned char)slide2[i] >> 7); + } + + ge25519_p1p1_to_partial(r, &t); + } +} + + + +#if !defined(HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS) + +static uint32_t +ge25519_windowb_equal(uint32_t b, uint32_t c) { + return ((b ^ c) - 1) >> 31; +} + +static void +ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) { + bignum25519 neg; + uint32_t sign = (uint32_t)((unsigned char)b >> 7); + uint32_t mask = ~(sign - 1); + uint32_t u = (b + mask) ^ mask; + uint32_t i; + + /* ysubx, xaddy, t2d in packed form. initialize to ysubx = 1, xaddy = 1, t2d = 0 */ + uint8_t packed[96] = {0}; + packed[0] = 1; + packed[32] = 1; + + for (i = 0; i < 8; i++) + curve25519_move_conditional_bytes(packed, table[(pos * 8) + i], ge25519_windowb_equal(u, i + 1)); + + /* expand in to t */ + curve25519_expand(t->ysubx, packed + 0); + curve25519_expand(t->xaddy, packed + 32); + curve25519_expand(t->t2d , packed + 64); + + /* adjust for sign */ + curve25519_swap_conditional(t->ysubx, t->xaddy, sign); + curve25519_neg(neg, t->t2d); + curve25519_swap_conditional(t->t2d, neg, sign); +} + +#endif /* HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS */ + + +/* computes [s]basepoint */ +static void +ge25519_scalarmult_base_niels(ge25519 *r, const uint8_t basepoint_table[256][96], const bignum256modm s) { + signed char b[64]; + uint32_t i; + ge25519_niels t; + + contract256_window4_modm(b, s); + + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[1]); + curve25519_sub_reduce(r->x, t.xaddy, t.ysubx); + curve25519_add_reduce(r->y, t.xaddy, t.ysubx); + memset(r->z, 0, sizeof(bignum25519)); + curve25519_copy(r->t, t.t2d); + r->z[0] = 2; + for (i = 3; i < 64; i += 2) { + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]); + ge25519_nielsadd2(r, &t); + } + ge25519_double_partial(r, r); + ge25519_double_partial(r, r); + ge25519_double_partial(r, r); + ge25519_double(r, r); + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[0]); + curve25519_mul(t.t2d, t.t2d, ge25519_ecd); + ge25519_nielsadd2(r, &t); + for(i = 2; i < 64; i += 2) { + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]); + ge25519_nielsadd2(r, &t); + } +} + diff --git a/src/ext/ed25519/donna/ed25519-donna-impl-sse2.h b/src/ext/ed25519/donna/ed25519-donna-impl-sse2.h new file mode 100644 index 0000000..5fe3416 --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-donna-impl-sse2.h @@ -0,0 +1,390 @@ +/* + conversions +*/ + +static void +ge25519_p1p1_to_partial(ge25519 *r, const ge25519_p1p1 *p) { + packed64bignum25519 ALIGN(16) xz, tt, xzout; + curve25519_mul(r->y, p->y, p->z); + curve25519_tangle64(xz, p->x, p->z); + curve25519_tangleone64(tt, p->t); + curve25519_mul_packed64(xzout, xz, tt); + curve25519_untangle64(r->x, r->z, xzout); +} + +static void +ge25519_p1p1_to_full(ge25519 *r, const ge25519_p1p1 *p) { + packed64bignum25519 ALIGN(16) zy, xt, xx, zz, ty; + curve25519_tangle64(ty, p->t, p->y); + curve25519_tangleone64(xx, p->x); + curve25519_mul_packed64(xt, xx, ty); + curve25519_untangle64(r->x, r->t, xt); + curve25519_tangleone64(zz, p->z); + curve25519_mul_packed64(zy, zz, ty); + curve25519_untangle64(r->z, r->y, zy); +} + +static void +ge25519_full_to_pniels(ge25519_pniels *p, const ge25519 *r) { + curve25519_sub(p->ysubx, r->y, r->x); + curve25519_add(p->xaddy, r->x, r->y); + curve25519_copy(p->z, r->z); + curve25519_mul(p->t2d, r->t, ge25519_ec2d); +} + +/* + adding & doubling +*/ + +static void +ge25519_add_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519 *q) { + bignum25519 ALIGN(16) a,b,c,d; + packed32bignum25519 ALIGN(16) xx, yy, yypxx, yymxx, bd, ac, bdmac, bdpac; + packed64bignum25519 ALIGN(16) at, bu, atbu, ptz, qtz, cd; + + curve25519_tangle32(yy, p->y, q->y); + curve25519_tangle32(xx, p->x, q->x); + curve25519_add_packed32(yypxx, yy, xx); + curve25519_sub_packed32(yymxx, yy, xx); + curve25519_tangle64_from32(at, bu, yymxx, yypxx); + curve25519_mul_packed64(atbu, at, bu); + curve25519_untangle64(a, b, atbu); + curve25519_tangle64(ptz, p->t, p->z); + curve25519_tangle64(qtz, q->t, q->z); + curve25519_mul_packed64(cd, ptz, qtz); + curve25519_untangle64(c, d, cd); + curve25519_mul(c, c, ge25519_ec2d); + curve25519_add_reduce(d, d, d); + /* reduce, so no after_basic is needed later */ + curve25519_tangle32(bd, b, d); + curve25519_tangle32(ac, a, c); + curve25519_sub_packed32(bdmac, bd, ac); + curve25519_add_packed32(bdpac, bd, ac); + curve25519_untangle32(r->x, r->t, bdmac); + curve25519_untangle32(r->y, r->z, bdpac); +} + + +static void +ge25519_double_p1p1(ge25519_p1p1 *r, const ge25519 *p) { + bignum25519 ALIGN(16) a,b,c,x; + packed64bignum25519 ALIGN(16) xy, zx, ab, cx; + packed32bignum25519 ALIGN(16) xc, yz, xt, yc, ac, bc; + + curve25519_add(x, p->x, p->y); + curve25519_tangle64(xy, p->x, p->y); + curve25519_square_packed64(ab, xy); + curve25519_untangle64(a, b, ab); + curve25519_tangle64(zx, p->z, x); + curve25519_square_packed64(cx, zx); + curve25519_untangle64(c, x, cx); + curve25519_tangle32(bc, b, c); + curve25519_tangle32(ac, a, c); + curve25519_add_reduce_packed32(yc, bc, ac); + curve25519_untangle32(r->y, c, yc); + curve25519_sub(r->z, b, a); + curve25519_tangle32(yz, r->y, r->z); + curve25519_tangle32(xc, x, c); + curve25519_sub_after_basic_packed32(xt, xc, yz); + curve25519_untangle32(r->x, r->t, xt); +} + +static void +ge25519_nielsadd2_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_niels *q, unsigned char signbit) { + const bignum25519 *qb = (const bignum25519 *)q; + bignum25519 *rb = (bignum25519 *)r; + bignum25519 ALIGN(16) a,b,c; + packed64bignum25519 ALIGN(16) ab, yx, aybx; + packed32bignum25519 ALIGN(16) bd, ac, bdac; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_tangle64(ab, a, b); + curve25519_tangle64(yx, qb[signbit], qb[signbit^1]); + curve25519_mul_packed64(aybx, ab, yx); + curve25519_untangle64(a, b, aybx); + curve25519_add(r->y, b, a); + curve25519_add_reduce(r->t, p->z, p->z); + curve25519_mul(c, p->t, q->t2d); + curve25519_copy(r->z, r->t); + curve25519_add(rb[2+signbit], rb[2+signbit], c); + curve25519_tangle32(bd, b, rb[2+(signbit^1)]); + curve25519_tangle32(ac, a, c); + curve25519_sub_packed32(bdac, bd, ac); + curve25519_untangle32(r->x, rb[2+(signbit^1)], bdac); +} + +static void +ge25519_pnielsadd_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_pniels *q, unsigned char signbit) { + const bignum25519 *qb = (const bignum25519 *)q; + bignum25519 *rb = (bignum25519 *)r; + bignum25519 ALIGN(16) a,b,c; + packed64bignum25519 ALIGN(16) ab, yx, aybx, zt, zt2d, tc; + packed32bignum25519 ALIGN(16) bd, ac, bdac; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_tangle64(ab, a, b); + curve25519_tangle64(yx, qb[signbit], qb[signbit^1]); + curve25519_mul_packed64(aybx, ab, yx); + curve25519_untangle64(a, b, aybx); + curve25519_add(r->y, b, a); + curve25519_tangle64(zt, p->z, p->t); + curve25519_tangle64(zt2d, q->z, q->t2d); + curve25519_mul_packed64(tc, zt, zt2d); + curve25519_untangle64(r->t, c, tc); + curve25519_add_reduce(r->t, r->t, r->t); + curve25519_copy(r->z, r->t); + curve25519_add(rb[2+signbit], rb[2+signbit], c); + curve25519_tangle32(bd, b, rb[2+(signbit^1)]); + curve25519_tangle32(ac, a, c); + curve25519_sub_packed32(bdac, bd, ac); + curve25519_untangle32(r->x, rb[2+(signbit^1)], bdac); +} + +static void +ge25519_double(ge25519 *r, const ge25519 *p) { + ge25519_p1p1 ALIGN(16) t; + ge25519_double_p1p1(&t, p); + ge25519_p1p1_to_full(r, &t); +} + +static void +ge25519_add(ge25519 *r, const ge25519 *p, const ge25519 *q) { + ge25519_p1p1 ALIGN(16) t; + ge25519_add_p1p1(&t, p, q); + ge25519_p1p1_to_full(r, &t); +} + +static void +ge25519_double_partial(ge25519 *r, const ge25519 *p) { + ge25519_p1p1 ALIGN(16) t; + ge25519_double_p1p1(&t, p); + ge25519_p1p1_to_partial(r, &t); +} + +static void +ge25519_nielsadd2(ge25519 *r, const ge25519_niels *q) { + packed64bignum25519 ALIGN(16) ab, yx, aybx, eg, ff, hh, xz, ty; + packed32bignum25519 ALIGN(16) bd, ac, bdac; + bignum25519 ALIGN(16) a,b,c,d,e,f,g,h; + + curve25519_sub(a, r->y, r->x); + curve25519_add(b, r->y, r->x); + curve25519_tangle64(ab, a, b); + curve25519_tangle64(yx, q->ysubx, q->xaddy); + curve25519_mul_packed64(aybx, ab, yx); + curve25519_untangle64(a, b, aybx); + curve25519_add(h, b, a); + curve25519_add_reduce(d, r->z, r->z); + curve25519_mul(c, r->t, q->t2d); + curve25519_add(g, d, c); /* d is reduced, so no need for after_basic */ + curve25519_tangle32(bd, b, d); + curve25519_tangle32(ac, a, c); + curve25519_sub_packed32(bdac, bd, ac); /* d is reduced, so no need for after_basic */ + curve25519_untangle32(e, f, bdac); + curve25519_tangle64(eg, e, g); + curve25519_tangleone64(ff, f); + curve25519_mul_packed64(xz, eg, ff); + curve25519_untangle64(r->x, r->z, xz); + curve25519_tangleone64(hh, h); + curve25519_mul_packed64(ty, eg, hh); + curve25519_untangle64(r->t, r->y, ty); +} + +static void +ge25519_pnielsadd(ge25519_pniels *r, const ge25519 *p, const ge25519_pniels *q) { + ge25519_p1p1 ALIGN(16) t; + ge25519 ALIGN(16) f; + ge25519_pnielsadd_p1p1(&t, p, q, 0); + ge25519_p1p1_to_full(&f, &t); + ge25519_full_to_pniels(r, &f); +} + +/* + pack & unpack +*/ + +static void +ge25519_pack(unsigned char r[32], const ge25519 *p) { + bignum25519 ALIGN(16) tx, ty, zi; + unsigned char parity[32]; + curve25519_recip(zi, p->z); + curve25519_mul(tx, p->x, zi); + curve25519_mul(ty, p->y, zi); + curve25519_contract(r, ty); + curve25519_contract(parity, tx); + r[31] ^= ((parity[0] & 1) << 7); +} + + +static int +ge25519_unpack_negative_vartime(ge25519 *r, const unsigned char p[32]) { + static const bignum25519 ALIGN(16) one = {1}; + static const unsigned char zero[32] = {0}; + unsigned char parity = p[31] >> 7; + unsigned char check[32]; + bignum25519 ALIGN(16) t, root, num, den, d3; + + curve25519_expand(r->y, p); + curve25519_copy(r->z, one); + curve25519_square_times(num, r->y, 1); /* x = y^2 */ + curve25519_mul(den, num, ge25519_ecd); /* den = dy^2 */ + curve25519_sub_reduce(num, num, r->z); /* x = y^2 - 1 */ + curve25519_add(den, den, r->z); /* den = dy^2 + 1 */ + + /* Computation of sqrt(num/den) */ + /* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */ + curve25519_square_times(t, den, 1); + curve25519_mul(d3, t, den); + curve25519_square_times(r->x, d3, 1); + curve25519_mul(r->x, r->x, den); + curve25519_mul(r->x, r->x, num); + curve25519_pow_two252m3(r->x, r->x); + + /* 2. computation of r->x = t * num * den^3 */ + curve25519_mul(r->x, r->x, d3); + curve25519_mul(r->x, r->x, num); + + /* 3. Check if either of the roots works: */ + curve25519_square_times(t, r->x, 1); + curve25519_mul(t, t, den); + curve25519_copy(root, t); + curve25519_sub_reduce(root, root, num); + curve25519_contract(check, root); + if (!ed25519_verify(check, zero, 32)) { + curve25519_add_reduce(t, t, num); + curve25519_contract(check, t); + if (!ed25519_verify(check, zero, 32)) + return 0; + curve25519_mul(r->x, r->x, ge25519_sqrtneg1); + } + + curve25519_contract(check, r->x); + if ((check[0] & 1) == parity) { + curve25519_copy(t, r->x); + curve25519_neg(r->x, t); + } + curve25519_mul(r->t, r->x, r->y); + return 1; +} + + + +/* + scalarmults +*/ + +#define S1_SWINDOWSIZE 5 +#define S1_TABLE_SIZE (1<<(S1_SWINDOWSIZE-2)) +#define S2_SWINDOWSIZE 7 +#define S2_TABLE_SIZE (1<<(S2_SWINDOWSIZE-2)) + +static void +ge25519_double_scalarmult_vartime(ge25519 *r, const ge25519 *p1, const bignum256modm s1, const bignum256modm s2) { + signed char slide1[256], slide2[256]; + ge25519_pniels ALIGN(16) pre1[S1_TABLE_SIZE]; + ge25519 ALIGN(16) d1; + ge25519_p1p1 ALIGN(16) t; + int32_t i; + + contract256_slidingwindow_modm(slide1, s1, S1_SWINDOWSIZE); + contract256_slidingwindow_modm(slide2, s2, S2_SWINDOWSIZE); + + ge25519_double(&d1, p1); + ge25519_full_to_pniels(pre1, p1); + for (i = 0; i < S1_TABLE_SIZE - 1; i++) + ge25519_pnielsadd(&pre1[i+1], &d1, &pre1[i]); + + /* set neutral */ + memset(r, 0, sizeof(ge25519)); + r->y[0] = 1; + r->z[0] = 1; + + i = 255; + while ((i >= 0) && !(slide1[i] | slide2[i])) + i--; + + for (; i >= 0; i--) { + ge25519_double_p1p1(&t, r); + + if (slide1[i]) { + ge25519_p1p1_to_full(r, &t); + ge25519_pnielsadd_p1p1(&t, r, &pre1[abs(slide1[i]) / 2], (unsigned char)slide1[i] >> 7); + } + + if (slide2[i]) { + ge25519_p1p1_to_full(r, &t); + ge25519_nielsadd2_p1p1(&t, r, &ge25519_niels_sliding_multiples[abs(slide2[i]) / 2], (unsigned char)slide2[i] >> 7); + } + + ge25519_p1p1_to_partial(r, &t); + } +} + +#if !defined(HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS) + +static uint32_t +ge25519_windowb_equal(uint32_t b, uint32_t c) { + return ((b ^ c) - 1) >> 31; +} + +static void +ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) { + bignum25519 ALIGN(16) neg; + uint32_t sign = (uint32_t)((unsigned char)b >> 7); + uint32_t mask = ~(sign - 1); + uint32_t u = (b + mask) ^ mask; + uint32_t i; + + /* ysubx, xaddy, t2d in packed form. initialize to ysubx = 1, xaddy = 1, t2d = 0 */ + uint8_t ALIGN(16) packed[96] = {0}; + packed[0] = 1; + packed[32] = 1; + + for (i = 0; i < 8; i++) + curve25519_move_conditional_bytes(packed, table[(pos * 8) + i], ge25519_windowb_equal(u, i + 1)); + + /* expand in to t */ + curve25519_expand(t->ysubx, packed + 0); + curve25519_expand(t->xaddy, packed + 32); + curve25519_expand(t->t2d , packed + 64); + + /* adjust for sign */ + curve25519_swap_conditional(t->ysubx, t->xaddy, sign); + curve25519_neg(neg, t->t2d); + curve25519_swap_conditional(t->t2d, neg, sign); +} + +#endif /* HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS */ + +static void +ge25519_scalarmult_base_niels(ge25519 *r, const uint8_t table[256][96], const bignum256modm s) { + signed char b[64]; + uint32_t i; + ge25519_niels ALIGN(16) t; + + contract256_window4_modm(b, s); + + ge25519_scalarmult_base_choose_niels(&t, table, 0, b[1]); + curve25519_sub_reduce(r->x, t.xaddy, t.ysubx); + curve25519_add_reduce(r->y, t.xaddy, t.ysubx); + memset(r->z, 0, sizeof(bignum25519)); + r->z[0] = 2; + curve25519_copy(r->t, t.t2d); + for (i = 3; i < 64; i += 2) { + ge25519_scalarmult_base_choose_niels(&t, table, i / 2, b[i]); + ge25519_nielsadd2(r, &t); + } + ge25519_double_partial(r, r); + ge25519_double_partial(r, r); + ge25519_double_partial(r, r); + ge25519_double(r, r); + ge25519_scalarmult_base_choose_niels(&t, table, 0, b[0]); + curve25519_mul(t.t2d, t.t2d, ge25519_ecd); + ge25519_nielsadd2(r, &t); + for(i = 2; i < 64; i += 2) { + ge25519_scalarmult_base_choose_niels(&t, table, i / 2, b[i]); + ge25519_nielsadd2(r, &t); + } +} diff --git a/src/ext/ed25519/donna/ed25519-donna-portable-identify.h b/src/ext/ed25519/donna/ed25519-donna-portable-identify.h new file mode 100644 index 0000000..26a264c --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-donna-portable-identify.h @@ -0,0 +1,103 @@ +/* os */ +#if defined(_WIN32) || defined(_WIN64) || defined(__TOS_WIN__) || defined(__WINDOWS__) + #define OS_WINDOWS +#elif defined(sun) || defined(__sun) || defined(__SVR4) || defined(__svr4__) + #define OS_SOLARIS +#else + #include <sys/param.h> /* need this to define BSD */ + #define OS_NIX + #if defined(__linux__) + #define OS_LINUX + #elif defined(BSD) + #define OS_BSD + #if defined(MACOS_X) || (defined(__APPLE__) & defined(__MACH__)) + #define OS_OSX + #elif defined(macintosh) || defined(Macintosh) + #define OS_MAC + #elif defined(__OpenBSD__) + #define OS_OPENBSD + #endif + #endif +#endif + + +/* compiler */ +#if defined(_MSC_VER) + #define COMPILER_MSVC +#endif +#if defined(__ICC) + #define COMPILER_INTEL +#endif +#if defined(__GNUC__) + #if (__GNUC__ >= 3) + #define COMPILER_GCC ((__GNUC__ * 10000) + (__GNUC_MINOR__ * 100) + (__GNUC_PATCHLEVEL__)) + #else + #define COMPILER_GCC ((__GNUC__ * 10000) + (__GNUC_MINOR__ * 100) ) + #endif +#endif +#if defined(__PATHCC__) + #define COMPILER_PATHCC +#endif +#if defined(__clang__) + #define COMPILER_CLANG ((__clang_major__ * 10000) + (__clang_minor__ * 100) + (__clang_patchlevel__)) +#endif + + + +/* cpu */ +#if defined(__amd64__) || defined(__amd64) || defined(__x86_64__ ) || defined(_M_X64) + #define CPU_X86_64 +#elif defined(__i586__) || defined(__i686__) || (defined(_M_IX86) && (_M_IX86 >= 500)) + #define CPU_X86 500 +#elif defined(__i486__) || (defined(_M_IX86) && (_M_IX86 >= 400)) + #define CPU_X86 400 +#elif defined(__i386__) || (defined(_M_IX86) && (_M_IX86 >= 300)) || defined(__X86__) || defined(_X86_) || defined(__I86__) + #define CPU_X86 300 +#elif defined(__ia64__) || defined(_IA64) || defined(__IA64__) || defined(_M_IA64) || defined(__ia64) + #define CPU_IA64 +#endif + +#if defined(__sparc__) || defined(__sparc) || defined(__sparcv9) + #define CPU_SPARC + #if defined(__sparcv9) + #define CPU_SPARC64 + #endif +#endif + +#if defined(powerpc) || defined(__PPC__) || defined(__ppc__) || defined(_ARCH_PPC) || defined(__powerpc__) || defined(__powerpc) || defined(POWERPC) || defined(_M_PPC) + #define CPU_PPC + #if defined(_ARCH_PWR7) + #define CPU_POWER7 + #elif defined(__64BIT__) + #define CPU_PPC64 + #else + #define CPU_PPC32 + #endif +#endif + +#if defined(__hppa__) || defined(__hppa) + #define CPU_HPPA +#endif + +#if defined(__alpha__) || defined(__alpha) || defined(_M_ALPHA) + #define CPU_ALPHA +#endif + +/* 64 bit cpu */ +#if defined(CPU_X86_64) || defined(CPU_IA64) || defined(CPU_SPARC64) || defined(__64BIT__) || defined(__LP64__) || defined(_LP64) || (defined(_MIPS_SZLONG) && (_MIPS_SZLONG == 64)) + #define CPU_64BITS +#endif + +#if defined(COMPILER_MSVC) + typedef signed char int8_t; + typedef unsigned char uint8_t; + typedef signed short int16_t; + typedef unsigned short uint16_t; + typedef signed int int32_t; + typedef unsigned int uint32_t; + typedef signed __int64 int64_t; + typedef unsigned __int64 uint64_t; +#else + #include <stdint.h> +#endif + diff --git a/src/ext/ed25519/donna/ed25519-donna-portable.h b/src/ext/ed25519/donna/ed25519-donna-portable.h new file mode 100644 index 0000000..0a0f7fc --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-donna-portable.h @@ -0,0 +1,135 @@ +#include "ed25519-donna-portable-identify.h" + +#define mul32x32_64(a,b) (((uint64_t)(a))*(b)) + +/* platform */ +#if defined(COMPILER_MSVC) + #include <intrin.h> + #if !defined(_DEBUG) + #undef mul32x32_64 + #define mul32x32_64(a,b) __emulu(a,b) + #endif + #undef inline + #define inline __forceinline + #define DONNA_INLINE __forceinline + #define DONNA_NOINLINE __declspec(noinline) + #define ALIGN(x) __declspec(align(x)) + #define ROTL32(a,b) _rotl(a,b) + #define ROTR32(a,b) _rotr(a,b) +#else + #include <sys/param.h> + #define DONNA_INLINE inline __attribute__((always_inline)) + #define DONNA_NOINLINE __attribute__((noinline)) + #define ALIGN(x) __attribute__((aligned(x))) + #define ROTL32(a,b) (((a) << (b)) | ((a) >> (32 - b))) + #define ROTR32(a,b) (((a) >> (b)) | ((a) << (32 - b))) +#endif + +/* uint128_t */ +#if defined(CPU_64BITS) && !defined(ED25519_FORCE_32BIT) + #if defined(COMPILER_CLANG) && (COMPILER_CLANG >= 30100) + #define HAVE_NATIVE_UINT128 + typedef unsigned __int128 uint128_t; + #elif defined(COMPILER_MSVC) + #define HAVE_UINT128 + typedef struct uint128_t { + uint64_t lo, hi; + } uint128_t; + #define mul64x64_128(out,a,b) out.lo = _umul128(a,b,&out.hi); + #define shr128_pair(out,hi,lo,shift) out = __shiftright128(lo, hi, shift); + #define shl128_pair(out,hi,lo,shift) out = __shiftleft128(lo, hi, shift); + #define shr128(out,in,shift) shr128_pair(out, in.hi, in.lo, shift) + #define shl128(out,in,shift) shl128_pair(out, in.hi, in.lo, shift) + #define add128(a,b) { uint64_t p = a.lo; a.lo += b.lo; a.hi += b.hi + (a.lo < p); } + #define add128_64(a,b) { uint64_t p = a.lo; a.lo += b; a.hi += (a.lo < p); } + #define lo128(a) (a.lo) + #define hi128(a) (a.hi) + #elif defined(COMPILER_GCC) && !defined(HAVE_NATIVE_UINT128) + #if defined(__SIZEOF_INT128__) + #define HAVE_NATIVE_UINT128 + typedef unsigned __int128 uint128_t; + #elif (COMPILER_GCC >= 40400) + #define HAVE_NATIVE_UINT128 + typedef unsigned uint128_t __attribute__((mode(TI))); + #elif defined(CPU_X86_64) + #define HAVE_UINT128 + typedef struct uint128_t { + uint64_t lo, hi; + } uint128_t; + #define mul64x64_128(out,a,b) __asm__ ("mulq %3" : "=a" (out.lo), "=d" (out.hi) : "a" (a), "rm" (b)); + #define shr128_pair(out,hi,lo,shift) __asm__ ("shrdq %2,%1,%0" : "+r" (lo) : "r" (hi), "J" (shift)); out = lo; + #define shl128_pair(out,hi,lo,shift) __asm__ ("shldq %2,%1,%0" : "+r" (hi) : "r" (lo), "J" (shift)); out = hi; + #define shr128(out,in,shift) shr128_pair(out,in.hi, in.lo, shift) + #define shl128(out,in,shift) shl128_pair(out,in.hi, in.lo, shift) + #define add128(a,b) __asm__ ("addq %4,%2; adcq %5,%3" : "=r" (a.hi), "=r" (a.lo) : "1" (a.lo), "0" (a.hi), "rm" (b.lo), "rm" (b.hi) : "cc"); + #define add128_64(a,b) __asm__ ("addq %4,%2; adcq $0,%3" : "=r" (a.hi), "=r" (a.lo) : "1" (a.lo), "0" (a.hi), "rm" (b) : "cc"); + #define lo128(a) (a.lo) + #define hi128(a) (a.hi) + #endif + #endif + + #if defined(HAVE_NATIVE_UINT128) + #define HAVE_UINT128 + #define mul64x64_128(out,a,b) out = (uint128_t)a * b; + #define shr128_pair(out,hi,lo,shift) out = (uint64_t)((((uint128_t)hi << 64) | lo) >> (shift)); + #define shl128_pair(out,hi,lo,shift) out = (uint64_t)(((((uint128_t)hi << 64) | lo) << (shift)) >> 64); + #define shr128(out,in,shift) out = (uint64_t)(in >> (shift)); + #define shl128(out,in,shift) out = (uint64_t)((in << shift) >> 64); + #define add128(a,b) a += b; + #define add128_64(a,b) a += (uint64_t)b; + #define lo128(a) ((uint64_t)a) + #define hi128(a) ((uint64_t)(a >> 64)) + #endif + + #if !defined(HAVE_UINT128) + #error Need a uint128_t implementation! + #endif +#endif + +/* endian */ +#if !defined(ED25519_OPENSSLRNG) +static inline void U32TO8_LE(unsigned char *p, const uint32_t v) { + p[0] = (unsigned char)(v ); + p[1] = (unsigned char)(v >> 8); + p[2] = (unsigned char)(v >> 16); + p[3] = (unsigned char)(v >> 24); +} +#endif + +#if !defined(HAVE_UINT128) +static inline uint32_t U8TO32_LE(const unsigned char *p) { + return + (((uint32_t)(p[0]) ) | + ((uint32_t)(p[1]) << 8) | + ((uint32_t)(p[2]) << 16) | + ((uint32_t)(p[3]) << 24)); +} +#else +static inline uint64_t U8TO64_LE(const unsigned char *p) { + return + (((uint64_t)(p[0]) ) | + ((uint64_t)(p[1]) << 8) | + ((uint64_t)(p[2]) << 16) | + ((uint64_t)(p[3]) << 24) | + ((uint64_t)(p[4]) << 32) | + ((uint64_t)(p[5]) << 40) | + ((uint64_t)(p[6]) << 48) | + ((uint64_t)(p[7]) << 56)); +} + +static inline void U64TO8_LE(unsigned char *p, const uint64_t v) { + p[0] = (unsigned char)(v ); + p[1] = (unsigned char)(v >> 8); + p[2] = (unsigned char)(v >> 16); + p[3] = (unsigned char)(v >> 24); + p[4] = (unsigned char)(v >> 32); + p[5] = (unsigned char)(v >> 40); + p[6] = (unsigned char)(v >> 48); + p[7] = (unsigned char)(v >> 56); +} +#endif + +#include <stdlib.h> +#include <string.h> + + diff --git a/src/ext/ed25519/donna/ed25519-donna.h b/src/ext/ed25519/donna/ed25519-donna.h new file mode 100644 index 0000000..de1120f --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-donna.h @@ -0,0 +1,115 @@ +/* + Public domain by Andrew M. <liquidsun(a)gmail.com> + Modified from the amd64-51-30k implementation by + Daniel J. Bernstein + Niels Duif + Tanja Lange + Peter Schwabe + Bo-Yin Yang +*/ + + +#include "ed25519-donna-portable.h" + +#if defined(ED25519_SSE2) +#else + #if defined(HAVE_UINT128) && !defined(ED25519_FORCE_32BIT) + #define ED25519_64BIT + #else + #define ED25519_32BIT + #endif +#endif + +#if !defined(ED25519_NO_INLINE_ASM) + /* detect extra features first so un-needed functions can be disabled throughout */ + #if defined(ED25519_SSE2) + #if defined(COMPILER_GCC) && defined(CPU_X86) + #define ED25519_GCC_32BIT_SSE_CHOOSE + #elif defined(COMPILER_GCC) && defined(CPU_X86_64) + #define ED25519_GCC_64BIT_SSE_CHOOSE + #endif + #else + #if defined(CPU_X86_64) + #if defined(COMPILER_GCC) + #if defined(ED25519_64BIT) + #define ED25519_GCC_64BIT_X86_CHOOSE + #else + #define ED25519_GCC_64BIT_32BIT_CHOOSE + #endif + #endif + #endif + #endif +#endif + +#if defined(ED25519_SSE2) + #include "curve25519-donna-sse2.h" +#elif defined(ED25519_64BIT) + #include "curve25519-donna-64bit.h" +#else + #include "curve25519-donna-32bit.h" +#endif + +#include "curve25519-donna-helpers.h" + +/* separate uint128 check for 64 bit sse2 */ +#if defined(HAVE_UINT128) && !defined(ED25519_FORCE_32BIT) + #include "modm-donna-64bit.h" +#else + #include "modm-donna-32bit.h" +#endif + +typedef unsigned char hash_512bits[64]; + +/* + Timing safe memory compare +*/ +static int +ed25519_verify(const unsigned char *x, const unsigned char *y, size_t len) { + size_t differentbits = 0; + while (len--) + differentbits |= (*x++ ^ *y++); + return (int) (1 & ((differentbits - 1) >> 8)); +} + + +/* + * Arithmetic on the twisted Edwards curve -x^2 + y^2 = 1 + dx^2y^2 + * with d = -(121665/121666) = 37095705934669439343138083508754565189542113879843219016388785533085940283555 + * Base point: (15112221349535400772501151409588531511454012693041857206046113283949847762202,46316835694926478169428394003475163141307993866256225615783033603165251855960); + */ + +typedef struct ge25519_t { + bignum25519 x, y, z, t; +} ge25519; + +typedef struct ge25519_p1p1_t { + bignum25519 x, y, z, t; +} ge25519_p1p1; + +typedef struct ge25519_niels_t { + bignum25519 ysubx, xaddy, t2d; +} ge25519_niels; + +typedef struct ge25519_pniels_t { + bignum25519 ysubx, xaddy, z, t2d; +} ge25519_pniels; + +#include "ed25519-donna-basepoint-table.h" + +#if defined(ED25519_64BIT) + #include "ed25519-donna-64bit-tables.h" + #include "ed25519-donna-64bit-x86.h" +#else + #include "ed25519-donna-32bit-tables.h" + #include "ed25519-donna-64bit-x86-32bit.h" +#endif + + +#if defined(ED25519_SSE2) + #include "ed25519-donna-32bit-sse2.h" + #include "ed25519-donna-64bit-sse2.h" + #include "ed25519-donna-impl-sse2.h" +#else + #include "ed25519-donna-impl-base.h" +#endif + diff --git a/src/ext/ed25519/donna/ed25519-hash-custom.h b/src/ext/ed25519/donna/ed25519-hash-custom.h new file mode 100644 index 0000000..7dc2491 --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-hash-custom.h @@ -0,0 +1,11 @@ +/* + a custom hash must have a 512bit digest and implement: + + struct ed25519_hash_context; + + void ed25519_hash_init(ed25519_hash_context *ctx); + void ed25519_hash_update(ed25519_hash_context *ctx, const uint8_t *in, size_t inlen); + void ed25519_hash_final(ed25519_hash_context *ctx, uint8_t *hash); + void ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen); +*/ + diff --git a/src/ext/ed25519/donna/ed25519-hash.h b/src/ext/ed25519/donna/ed25519-hash.h new file mode 100644 index 0000000..6ba8f52 --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-hash.h @@ -0,0 +1,219 @@ +#if defined(ED25519_REFHASH) + +/* reference/slow SHA-512. really, do not use this */ + +#define HASH_BLOCK_SIZE 128 +#define HASH_DIGEST_SIZE 64 + +typedef struct sha512_state_t { + uint64_t H[8]; + uint64_t T[2]; + uint32_t leftover; + uint8_t buffer[HASH_BLOCK_SIZE]; +} sha512_state; + +typedef sha512_state ed25519_hash_context; + +static const uint64_t sha512_constants[80] = { + 0x428a2f98d728ae22ull, 0x7137449123ef65cdull, 0xb5c0fbcfec4d3b2full, 0xe9b5dba58189dbbcull, + 0x3956c25bf348b538ull, 0x59f111f1b605d019ull, 0x923f82a4af194f9bull, 0xab1c5ed5da6d8118ull, + 0xd807aa98a3030242ull, 0x12835b0145706fbeull, 0x243185be4ee4b28cull, 0x550c7dc3d5ffb4e2ull, + 0x72be5d74f27b896full, 0x80deb1fe3b1696b1ull, 0x9bdc06a725c71235ull, 0xc19bf174cf692694ull, + 0xe49b69c19ef14ad2ull, 0xefbe4786384f25e3ull, 0x0fc19dc68b8cd5b5ull, 0x240ca1cc77ac9c65ull, + 0x2de92c6f592b0275ull, 0x4a7484aa6ea6e483ull, 0x5cb0a9dcbd41fbd4ull, 0x76f988da831153b5ull, + 0x983e5152ee66dfabull, 0xa831c66d2db43210ull, 0xb00327c898fb213full, 0xbf597fc7beef0ee4ull, + 0xc6e00bf33da88fc2ull, 0xd5a79147930aa725ull, 0x06ca6351e003826full, 0x142929670a0e6e70ull, + 0x27b70a8546d22ffcull, 0x2e1b21385c26c926ull, 0x4d2c6dfc5ac42aedull, 0x53380d139d95b3dfull, + 0x650a73548baf63deull, 0x766a0abb3c77b2a8ull, 0x81c2c92e47edaee6ull, 0x92722c851482353bull, + 0xa2bfe8a14cf10364ull, 0xa81a664bbc423001ull, 0xc24b8b70d0f89791ull, 0xc76c51a30654be30ull, + 0xd192e819d6ef5218ull, 0xd69906245565a910ull, 0xf40e35855771202aull, 0x106aa07032bbd1b8ull, + 0x19a4c116b8d2d0c8ull, 0x1e376c085141ab53ull, 0x2748774cdf8eeb99ull, 0x34b0bcb5e19b48a8ull, + 0x391c0cb3c5c95a63ull, 0x4ed8aa4ae3418acbull, 0x5b9cca4f7763e373ull, 0x682e6ff3d6b2b8a3ull, + 0x748f82ee5defb2fcull, 0x78a5636f43172f60ull, 0x84c87814a1f0ab72ull, 0x8cc702081a6439ecull, + 0x90befffa23631e28ull, 0xa4506cebde82bde9ull, 0xbef9a3f7b2c67915ull, 0xc67178f2e372532bull, + 0xca273eceea26619cull, 0xd186b8c721c0c207ull, 0xeada7dd6cde0eb1eull, 0xf57d4f7fee6ed178ull, + 0x06f067aa72176fbaull, 0x0a637dc5a2c898a6ull, 0x113f9804bef90daeull, 0x1b710b35131c471bull, + 0x28db77f523047d84ull, 0x32caab7b40c72493ull, 0x3c9ebe0a15c9bebcull, 0x431d67c49c100d4cull, + 0x4cc5d4becb3e42b6ull, 0x597f299cfc657e2aull, 0x5fcb6fab3ad6faecull, 0x6c44198c4a475817ull +}; + +static uint64_t +sha512_ROTR64(uint64_t x, int k) { + return (x >> k) | (x << (64 - k)); +} + +static uint64_t +sha512_LOAD64_BE(const uint8_t *p) { + return + ((uint64_t)p[0] << 56) | + ((uint64_t)p[1] << 48) | + ((uint64_t)p[2] << 40) | + ((uint64_t)p[3] << 32) | + ((uint64_t)p[4] << 24) | + ((uint64_t)p[5] << 16) | + ((uint64_t)p[6] << 8) | + ((uint64_t)p[7] ); +} + +static void +sha512_STORE64_BE(uint8_t *p, uint64_t v) { + p[0] = (uint8_t)(v >> 56); + p[1] = (uint8_t)(v >> 48); + p[2] = (uint8_t)(v >> 40); + p[3] = (uint8_t)(v >> 32); + p[4] = (uint8_t)(v >> 24); + p[5] = (uint8_t)(v >> 16); + p[6] = (uint8_t)(v >> 8); + p[7] = (uint8_t)(v ); +} + +#define Ch(x,y,z) (z ^ (x & (y ^ z))) +#define Maj(x,y,z) (((x | y) & z) | (x & y)) +#define S0(x) (sha512_ROTR64(x, 28) ^ sha512_ROTR64(x, 34) ^ sha512_ROTR64(x, 39)) +#define S1(x) (sha512_ROTR64(x, 14) ^ sha512_ROTR64(x, 18) ^ sha512_ROTR64(x, 41)) +#define G0(x) (sha512_ROTR64(x, 1) ^ sha512_ROTR64(x, 8) ^ (x >> 7)) +#define G1(x) (sha512_ROTR64(x, 19) ^ sha512_ROTR64(x, 61) ^ (x >> 6)) +#define W0(in,i) (sha512_LOAD64_BE(&in[i * 8])) +#define W1(i) (G1(w[i - 2]) + w[i - 7] + G0(w[i - 15]) + w[i - 16]) +#define STEP(i) \ + t1 = S0(r[0]) + Maj(r[0], r[1], r[2]); \ + t0 = r[7] + S1(r[4]) + Ch(r[4], r[5], r[6]) + sha512_constants[i] + w[i]; \ + r[7] = r[6]; \ + r[6] = r[5]; \ + r[5] = r[4]; \ + r[4] = r[3] + t0; \ + r[3] = r[2]; \ + r[2] = r[1]; \ + r[1] = r[0]; \ + r[0] = t0 + t1; + +static void +sha512_blocks(sha512_state *S, const uint8_t *in, size_t blocks) { + uint64_t r[8], w[80], t0, t1; + size_t i; + + for (i = 0; i < 8; i++) r[i] = S->H[i]; + + while (blocks--) { + for (i = 0; i < 16; i++) { w[i] = W0(in, i); } + for (i = 16; i < 80; i++) { w[i] = W1(i); } + for (i = 0; i < 80; i++) { STEP(i); } + for (i = 0; i < 8; i++) { r[i] += S->H[i]; S->H[i] = r[i]; } + S->T[0] += HASH_BLOCK_SIZE * 8; + S->T[1] += (!S->T[0]) ? 1 : 0; + in += HASH_BLOCK_SIZE; + } +} + +static void +ed25519_hash_init(sha512_state *S) { + S->H[0] = 0x6a09e667f3bcc908ull; + S->H[1] = 0xbb67ae8584caa73bull; + S->H[2] = 0x3c6ef372fe94f82bull; + S->H[3] = 0xa54ff53a5f1d36f1ull; + S->H[4] = 0x510e527fade682d1ull; + S->H[5] = 0x9b05688c2b3e6c1full; + S->H[6] = 0x1f83d9abfb41bd6bull; + S->H[7] = 0x5be0cd19137e2179ull; + S->T[0] = 0; + S->T[1] = 0; + S->leftover = 0; +} + +static void +ed25519_hash_update(sha512_state *S, const uint8_t *in, size_t inlen) { + size_t blocks, want; + + /* handle the previous data */ + if (S->leftover) { + want = (HASH_BLOCK_SIZE - S->leftover); + want = (want < inlen) ? want : inlen; + memcpy(S->buffer + S->leftover, in, want); + S->leftover += (uint32_t)want; + if (S->leftover < HASH_BLOCK_SIZE) + return; + in += want; + inlen -= want; + sha512_blocks(S, S->buffer, 1); + } + + /* handle the current data */ + blocks = (inlen & ~(HASH_BLOCK_SIZE - 1)); + S->leftover = (uint32_t)(inlen - blocks); + if (blocks) { + sha512_blocks(S, in, blocks / HASH_BLOCK_SIZE); + in += blocks; + } + + /* handle leftover data */ + if (S->leftover) + memcpy(S->buffer, in, S->leftover); +} + +static void +ed25519_hash_final(sha512_state *S, uint8_t *hash) { + uint64_t t0 = S->T[0] + (S->leftover * 8), t1 = S->T[1]; + + S->buffer[S->leftover] = 0x80; + if (S->leftover <= 111) { + memset(S->buffer + S->leftover + 1, 0, 111 - S->leftover); + } else { + memset(S->buffer + S->leftover + 1, 0, 127 - S->leftover); + sha512_blocks(S, S->buffer, 1); + memset(S->buffer, 0, 112); + } + + sha512_STORE64_BE(S->buffer + 112, t1); + sha512_STORE64_BE(S->buffer + 120, t0); + sha512_blocks(S, S->buffer, 1); + + sha512_STORE64_BE(&hash[ 0], S->H[0]); + sha512_STORE64_BE(&hash[ 8], S->H[1]); + sha512_STORE64_BE(&hash[16], S->H[2]); + sha512_STORE64_BE(&hash[24], S->H[3]); + sha512_STORE64_BE(&hash[32], S->H[4]); + sha512_STORE64_BE(&hash[40], S->H[5]); + sha512_STORE64_BE(&hash[48], S->H[6]); + sha512_STORE64_BE(&hash[56], S->H[7]); +} + +static void +ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen) { + ed25519_hash_context ctx; + ed25519_hash_init(&ctx); + ed25519_hash_update(&ctx, in, inlen); + ed25519_hash_final(&ctx, hash); +} + +#elif defined(ED25519_CUSTOMHASH) + +#include "ed25519-hash-custom.h" + +#else + +#include <openssl/sha.h> + +typedef SHA512_CTX ed25519_hash_context; + +static void +ed25519_hash_init(ed25519_hash_context *ctx) { + SHA512_Init(ctx); +} + +static void +ed25519_hash_update(ed25519_hash_context *ctx, const uint8_t *in, size_t inlen) { + SHA512_Update(ctx, in, inlen); +} + +static void +ed25519_hash_final(ed25519_hash_context *ctx, uint8_t *hash) { + SHA512_Final(hash, ctx); +} + +static void +ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen) { + SHA512(in, inlen, hash); +} + +#endif + diff --git a/src/ext/ed25519/donna/ed25519-randombytes-custom.h b/src/ext/ed25519/donna/ed25519-randombytes-custom.h new file mode 100644 index 0000000..9f51063 --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-randombytes-custom.h @@ -0,0 +1,8 @@ +/* + a custom randombytes must implement: + + void ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len); + + ed25519_randombytes_unsafe is used by the batch verification function + to create random scalars +*/ diff --git a/src/ext/ed25519/donna/ed25519-randombytes.h b/src/ext/ed25519/donna/ed25519-randombytes.h new file mode 100644 index 0000000..1dc6290 --- /dev/null +++ b/src/ext/ed25519/donna/ed25519-randombytes.h @@ -0,0 +1,91 @@ +#if defined(ED25519_TEST) +/* + ISAAC+ "variant", the paper is not clear on operator precedence and other + things. This is the "first in, first out" option! + + Not threadsafe or securely initialized, only for deterministic testing +*/ +typedef struct isaacp_state_t { + uint32_t state[256]; + unsigned char buffer[1024]; + uint32_t a, b, c; + size_t left; +} isaacp_state; + +#define isaacp_step(offset, mix) \ + x = mm[i + offset]; \ + a = (a ^ (mix)) + (mm[(i + offset + 128) & 0xff]); \ + y = (a ^ b) + mm[(x >> 2) & 0xff]; \ + mm[i + offset] = y; \ + b = (x + a) ^ mm[(y >> 10) & 0xff]; \ + U32TO8_LE(out + (i + offset) * 4, b); + +static void +isaacp_mix(isaacp_state *st) { + uint32_t i, x, y; + uint32_t a = st->a, b = st->b, c = st->c; + uint32_t *mm = st->state; + unsigned char *out = st->buffer; + + c = c + 1; + b = b + c; + + for (i = 0; i < 256; i += 4) { + isaacp_step(0, ROTL32(a,13)) + isaacp_step(1, ROTR32(a, 6)) + isaacp_step(2, ROTL32(a, 2)) + isaacp_step(3, ROTR32(a,16)) + } + + st->a = a; + st->b = b; + st->c = c; + st->left = 1024; +} + +static void +isaacp_random(isaacp_state *st, void *p, size_t len) { + size_t use; + unsigned char *c = (unsigned char *)p; + while (len) { + use = (len > st->left) ? st->left : len; + memcpy(c, st->buffer + (sizeof(st->buffer) - st->left), use); + + st->left -= use; + c += use; + len -= use; + + if (!st->left) + isaacp_mix(st); + } +} + +void +ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len) { + static int initialized = 0; + static isaacp_state rng; + + if (!initialized) { + memset(&rng, 0, sizeof(rng)); + isaacp_mix(&rng); + isaacp_mix(&rng); + initialized = 1; + } + + isaacp_random(&rng, p, len); +} +#elif defined(ED25519_CUSTOMRANDOM) + +#include "ed25519-randombytes-custom.h" + +#else + +#include <openssl/rand.h> + +void +ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len) { + + RAND_bytes(p, (int) len); + +} +#endif diff --git a/src/ext/ed25519/donna/ed25519.c b/src/ext/ed25519/donna/ed25519.c new file mode 100644 index 0000000..58a755b --- /dev/null +++ b/src/ext/ed25519/donna/ed25519.c @@ -0,0 +1,150 @@ +/* + Public domain by Andrew M. <liquidsun(a)gmail.com> + + Ed25519 reference implementation using Ed25519-donna +*/ + + +/* define ED25519_SUFFIX to have it appended to the end of each public function */ +#if !defined(ED25519_SUFFIX) +#define ED25519_SUFFIX +#endif + +#define ED25519_FN3(fn,suffix) fn##suffix +#define ED25519_FN2(fn,suffix) ED25519_FN3(fn,suffix) +#define ED25519_FN(fn) ED25519_FN2(fn,ED25519_SUFFIX) + +#include "ed25519-donna.h" +#include "ed25519.h" +#include "ed25519-randombytes.h" +#include "ed25519-hash.h" + +/* + Generates a (extsk[0..31]) and aExt (extsk[32..63]) +*/ + +DONNA_INLINE static void +ed25519_extsk(hash_512bits extsk, const ed25519_secret_key sk) { + ed25519_hash(extsk, sk, 32); + extsk[0] &= 248; + extsk[31] &= 127; + extsk[31] |= 64; +} + +static void +ed25519_hram(hash_512bits hram, const ed25519_signature RS, const ed25519_public_key pk, const unsigned char *m, size_t mlen) { + ed25519_hash_context ctx; + ed25519_hash_init(&ctx); + ed25519_hash_update(&ctx, RS, 32); + ed25519_hash_update(&ctx, pk, 32); + ed25519_hash_update(&ctx, m, mlen); + ed25519_hash_final(&ctx, hram); +} + +void +ED25519_FN(ed25519_publickey) (const ed25519_secret_key sk, ed25519_public_key pk) { + bignum256modm a; + ge25519 ALIGN(16) A; + hash_512bits extsk; + + /* A = aB */ + ed25519_extsk(extsk, sk); + expand256_modm(a, extsk, 32); + ge25519_scalarmult_base_niels(&A, ge25519_niels_base_multiples, a); + ge25519_pack(pk, &A); +} + + +void +ED25519_FN(ed25519_sign) (const unsigned char *m, size_t mlen, const ed25519_secret_key sk, const ed25519_public_key pk, ed25519_signature RS) { + ed25519_hash_context ctx; + bignum256modm r, S, a; + ge25519 ALIGN(16) R; + hash_512bits extsk, hashr, hram; + + ed25519_extsk(extsk, sk); + + /* r = H(aExt[32..64], m) */ + ed25519_hash_init(&ctx); + ed25519_hash_update(&ctx, extsk + 32, 32); + ed25519_hash_update(&ctx, m, mlen); + ed25519_hash_final(&ctx, hashr); + expand256_modm(r, hashr, 64); + + /* R = rB */ + ge25519_scalarmult_base_niels(&R, ge25519_niels_base_multiples, r); + ge25519_pack(RS, &R); + + /* S = H(R,A,m).. */ + ed25519_hram(hram, RS, pk, m, mlen); + expand256_modm(S, hram, 64); + + /* S = H(R,A,m)a */ + expand256_modm(a, extsk, 32); + mul256_modm(S, S, a); + + /* S = (r + H(R,A,m)a) */ + add256_modm(S, S, r); + + /* S = (r + H(R,A,m)a) mod L */ + contract256_modm(RS + 32, S); +} + +int +ED25519_FN(ed25519_sign_open) (const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS) { + ge25519 ALIGN(16) R, A; + hash_512bits hash; + bignum256modm hram, S; + unsigned char checkR[32]; + + if ((RS[63] & 224) || !ge25519_unpack_negative_vartime(&A, pk)) + return -1; + + /* hram = H(R,A,m) */ + ed25519_hram(hash, RS, pk, m, mlen); + expand256_modm(hram, hash, 64); + + /* S */ + expand256_modm(S, RS + 32, 32); + + /* SB - H(R,A,m)A */ + ge25519_double_scalarmult_vartime(&R, &A, hram, S); + ge25519_pack(checkR, &R); + + /* check that R = SB - H(R,A,m)A */ + return ed25519_verify(RS, checkR, 32) ? 0 : -1; +} + +#include "ed25519-donna-batchverify.h" + +/* + Fast Curve25519 basepoint scalar multiplication +*/ + +void +ED25519_FN(curved25519_scalarmult_basepoint) (curved25519_key pk, const curved25519_key e) { + curved25519_key ec; + bignum256modm s; + bignum25519 ALIGN(16) yplusz, zminusy; + ge25519 ALIGN(16) p; + size_t i; + + /* clamp */ + for (i = 0; i < 32; i++) ec[i] = e[i]; + ec[0] &= 248; + ec[31] &= 127; + ec[31] |= 64; + + expand_raw256_modm(s, ec); + + /* scalar * basepoint */ + ge25519_scalarmult_base_niels(&p, ge25519_niels_base_multiples, s); + + /* u = (y + z) / (z - y) */ + curve25519_add(yplusz, p.y, p.z); + curve25519_sub(zminusy, p.z, p.y); + curve25519_recip(zminusy, zminusy); + curve25519_mul(yplusz, yplusz, zminusy); + curve25519_contract(pk, yplusz); +} + diff --git a/src/ext/ed25519/donna/ed25519.h b/src/ext/ed25519/donna/ed25519.h new file mode 100644 index 0000000..dc86675 --- /dev/null +++ b/src/ext/ed25519/donna/ed25519.h @@ -0,0 +1,30 @@ +#ifndef ED25519_H +#define ED25519_H + +#include <stdlib.h> + +#if defined(__cplusplus) +extern "C" { +#endif + +typedef unsigned char ed25519_signature[64]; +typedef unsigned char ed25519_public_key[32]; +typedef unsigned char ed25519_secret_key[32]; + +typedef unsigned char curved25519_key[32]; + +void ed25519_publickey(const ed25519_secret_key sk, ed25519_public_key pk); +int ed25519_sign_open(const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS); +void ed25519_sign(const unsigned char *m, size_t mlen, const ed25519_secret_key sk, const ed25519_public_key pk, ed25519_signature RS); + +int ed25519_sign_open_batch(const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid); + +void ed25519_randombytes_unsafe(void *out, size_t count); + +void curved25519_scalarmult_basepoint(curved25519_key pk, const curved25519_key e); + +#if defined(__cplusplus) +} +#endif + +#endif // ED25519_H diff --git a/src/ext/ed25519/donna/fuzz/README.md b/src/ext/ed25519/donna/fuzz/README.md new file mode 100644 index 0000000..306ddfe --- /dev/null +++ b/src/ext/ed25519/donna/fuzz/README.md @@ -0,0 +1,173 @@ +This code fuzzes ed25519-donna (and optionally ed25519-donna-sse2) against the ref10 implementations of +[curve25519](https://github.com/floodyberry/supercop/tree/master/crypto_scalarmult/curve25519/ref10) and +[ed25519](https://github.com/floodyberry/supercop/tree/master/crypto_sign/ed25519/ref10). + +Curve25519 tests that generating a public key from a secret key + +# Building + +## *nix + PHP + +`php build-nix.php (required parameters) (optional parameters)` + +Required parameters: + +* `--function=[curve25519,ed25519]` +* `--bits=[32,64]` + +Optional parameters: + +* `--with-sse2` + + Also fuzz against ed25519-donna-sse2 +* `--with-openssl` + + Build with OpenSSL's SHA-512. + + Default: Reference SHA-512 implementation (slow!) + +* `--compiler=[gcc,clang,icc]` + + Default: gcc + +* `--no-asm` + + Do not use platform specific assembler + + +example: + + php build-nix.php --bits=64 --function=ed25519 --with-sse2 --compiler=icc + +## Windows + +Create a project with access to the ed25519 files. + +If you are not using OpenSSL, add the `ED25519_REFHASH` define to the projects +"Properties/Preprocessor/Preprocessor Definitions" option + +Add the following files to the project: + +* `fuzz/curve25519-ref10.c` +* `fuzz/ed25519-ref10.c` +* `fuzz/ed25519-donna.c` +* `fuzz/ed25519-donna-sse2.c` (optional) +* `fuzz-[curve25519/ed25519].c` (depending on which you want to fuzz) + +If you are also fuzzing against ed25519-donna-sse2, add the `ED25519_SSE2` define for `fuzz-[curve25519/ed25519].c` under +its "Properties/Preprocessor/Preprocessor Definitions" option. + +# Running + +If everything agrees, the program will only output occasional status dots (every 0x1000 passes) +and a 64bit progress count (every 0x20000 passes): + + fuzzing: ref10 curved25519 curved25519-sse2 + + ................................ [0000000000020000] + ................................ [0000000000040000] + ................................ [0000000000060000] + ................................ [0000000000080000] + ................................ [00000000000a0000] + ................................ [00000000000c0000] + +If any of the implementations do not agree with the ref10 implementation, the program will dump +the random data that was used, the data generated by the ref10 implementation, and diffs of the +ed25519-donna data against the ref10 data. + +## Example errors + +These are example error dumps (with intentionally introduced errors). + +### Ed25519 + +Random data: + +* sk, or Secret Key +* m, or Message + +Generated data: + +* pk, or Public Key +* sig, or Signature +* valid, or if the signature of the message is valid with the public key + +Dump: + + sk: + 0x3b,0xb7,0x17,0x7a,0x66,0xdc,0xb7,0x9a,0x90,0x25,0x07,0x99,0x96,0xf3,0x92,0xef, + 0x78,0xf8,0xad,0x6c,0x35,0x87,0x81,0x67,0x03,0xe6,0x95,0xba,0x06,0x18,0x7c,0x9c, + + m: + 0x7c,0x8d,0x3d,0xe1,0x92,0xee,0x7a,0xb8,0x4d,0xc9,0xfb,0x02,0x34,0x1e,0x5a,0x91, + 0xee,0x01,0xa6,0xb8,0xab,0x37,0x3f,0x3d,0x6d,0xa2,0x47,0xe3,0x27,0x93,0x7c,0xb7, + 0x77,0x07,0xb6,0x88,0x41,0x22,0xf3,0x3f,0xce,0xcb,0x6b,0x3e,0x2b,0x23,0x68,0x7f, + 0x5b,0xb9,0xda,0x04,0xbb,0xae,0x42,0x50,0xf5,0xe9,0xc5,0x11,0xbd,0x52,0x76,0x98, + 0xf1,0x87,0x09,0xb9,0x89,0x0a,0x52,0x69,0x01,0xce,0xe0,0x4a,0xa6,0x46,0x5a,0xe1, + 0x63,0x14,0xe0,0x81,0x52,0xec,0xcd,0xcf,0x70,0x54,0x7d,0xa3,0x49,0x8b,0xf0,0x89, + 0x70,0x07,0x12,0x2a,0xd9,0xaa,0x16,0x01,0xb2,0x16,0x3a,0xbb,0xfc,0xfa,0x13,0x5b, + 0x69,0x83,0x92,0x70,0x95,0x76,0xa0,0x8e,0x16,0x79,0xcc,0xaa,0xb5,0x7c,0xf8,0x7a, + + ref10: + pk: + 0x71,0xb0,0x5e,0x62,0x1b,0xe3,0xe7,0x36,0x91,0x8b,0xc0,0x13,0x36,0x0c,0xc9,0x04, + 0x16,0xf5,0xff,0x48,0x0c,0x83,0x6b,0x88,0x53,0xa2,0xc6,0x0f,0xf7,0xac,0x42,0x04, + + sig: + 0x3e,0x05,0xc5,0x37,0x16,0x0b,0x29,0x30,0x89,0xa3,0xe7,0x83,0x08,0x16,0xdd,0x96, + 0x02,0xfa,0x0d,0x44,0x2c,0x43,0xaa,0x80,0x93,0x04,0x58,0x22,0x09,0xbf,0x11,0xa5, + 0xcc,0xa5,0x3c,0x9f,0xa0,0xa4,0x64,0x5a,0x4a,0xdb,0x20,0xfb,0xc7,0x9b,0xfd,0x3f, + 0x08,0xae,0xc4,0x3c,0x1e,0xd8,0xb6,0xb4,0xd2,0x6d,0x80,0x92,0xcb,0x71,0xf3,0x02, + + valid: yes + + ed25519-donna: + pk diff: + ____,____,____,____,____,____,____,____,____,____,____,____,____,____,____,____, + ____,____,____,____,____,____,____,____,____,____,____,____,____,____,____,____, + + sig diff: + 0x2c,0xb9,0x25,0x14,0xd0,0x94,0xeb,0xfe,0x46,0x02,0xc2,0xe8,0xa3,0xeb,0xbf,0xb5, + 0x72,0x84,0xbf,0xc1,0x8a,0x32,0x30,0x99,0xf7,0x58,0xfe,0x06,0xa8,0xdc,0xdc,0xab, + 0xb5,0x57,0x03,0x33,0x87,0xce,0x54,0x55,0x6a,0x69,0x8a,0xc4,0xb7,0x2a,0xed,0x97, + 0xb4,0x68,0xe7,0x52,0x7a,0x07,0x55,0x3b,0xa2,0x94,0xd6,0x5e,0xa1,0x61,0x80,0x08, + + valid: no + +In this case, the generated public key matches, but the generated signature is completely +different and does not validate. + +### Curve25519 + +Random data: + +* sk, or Secret Key + +Generated data: + +* pk, or Public Key + +Dump: + + sk: + 0x44,0xec,0x0b,0x0e,0xa2,0x0e,0x9c,0x5b,0x8c,0xce,0x7b,0x1d,0x68,0xae,0x0f,0x9e, + 0x81,0xe2,0x04,0x76,0xda,0x87,0xa4,0x9e,0xc9,0x4f,0x3b,0xf9,0xc3,0x89,0x63,0x70, + + + ref10: + 0x24,0x55,0x55,0xc0,0xf9,0x80,0xaf,0x02,0x43,0xee,0x8c,0x7f,0xc1,0xad,0x90,0x95, + 0x57,0x91,0x14,0x2e,0xf2,0x14,0x22,0x80,0xdd,0x4e,0x3c,0x85,0x71,0x84,0x8c,0x62, + + + curved25519 diff: + 0x12,0xd1,0x61,0x2b,0x16,0xb3,0xd8,0x29,0xf8,0xa3,0xba,0x70,0x4e,0x49,0x4f,0x43, + 0xa1,0x3c,0x6b,0x42,0x11,0x61,0xcc,0x30,0x87,0x73,0x46,0xfb,0x85,0xc7,0x9a,0x35, + + + curved25519-sse2 diff: + ____,____,____,____,____,____,____,____,____,____,____,____,____,____,____,____, + ____,____,____,____,____,____,____,____,____,____,____,____,____,____,____,____, + + +In this case, curved25519 is totally wrong, while curved25519-sse2 matches the reference +implementation. \ No newline at end of file diff --git a/src/ext/ed25519/donna/fuzz/build-nix.php b/src/ext/ed25519/donna/fuzz/build-nix.php new file mode 100644 index 0000000..c69144e --- /dev/null +++ b/src/ext/ed25519/donna/fuzz/build-nix.php @@ -0,0 +1,134 @@ +<?php + function echoln($str) { + echo $str; + echo "\n"; + } + + function usage($reason) { + echoln("Usage: php build-nix.php [flags]"); + echoln("Flags in parantheses are optional"); + echoln(""); + echoln(" --bits=[32,64]"); + echoln(" --function=[curve25519,ed25519]"); + echoln(" (--compiler=[*gcc,clang,icc]) which compiler to use, gcc is default"); + echoln(" (--with-openssl) use openssl for SHA512"); + echoln(" (--with-sse2) additionally fuzz against SSE2"); + echoln(" (--no-asm) don't use platform specific asm"); + echoln(""); + if ($reason) + echoln($reason); + } + + function cleanup() { + system("rm -f *.o"); + } + + function runcmd($desc, $cmd) { + echoln($desc); + + $ret = 0; + system($cmd, $ret); + if ($ret) { + cleanup(); + exit; + } + } + + class argument { + var $set, $value; + } + + class multiargument extends argument { + function multiargument($flag, $legal_values) { + global $argc, $argv; + + $this->set = false; + + $map = array(); + foreach($legal_values as $value) + $map[$value] = true; + + for ($i = 1; $i < $argc; $i++) { + if (!preg_match("!--".$flag."=(.*)!", $argv[$i], $m)) + continue; + if (isset($map[$m[1]])) { + $this->value = $m[1]; + $this->set = true; + return; + } else { + usage("{$m[1]} is not a valid parameter to --{$flag}!"); + exit(1); + } + } + } + } + + class flag extends argument { + function flag($flag) { + global $argc, $argv; + + $this->set = false; + + $flag = "--{$flag}"; + for ($i = 1; $i < $argc; $i++) { + if ($argv[$i] !== $flag) + continue; + $this->value = true; + $this->set = true; + return; + } + } + } + + $bits = new multiargument("bits", array("32", "64")); + $function = new multiargument("function", array("curve25519", "ed25519")); + $compiler = new multiargument("compiler", array("gcc", "clang", "icc")); + $with_sse2 = new flag("with-sse2"); + $with_openssl = new flag("with-openssl"); + $no_asm = new flag("no-asm"); + + $err = ""; + if (!$bits->set) + $err .= "--bits not set\n"; + if (!$function->set) + $err .= "--function not set\n"; + + if ($err !== "") { + usage($err); + exit; + } + + $compile = ($compiler->set) ? $compiler->value : "gcc"; + $link = ""; + $flags = "-O3 -m{$bits->value}"; + $ret = 0; + + if ($with_openssl->set) $link .= " -lssl -lcrypto"; + if (!$with_openssl->set) $flags .= " -DED25519_REFHASH -DED25519_TEST"; + if ($no_asm->set) $flags .= " -DED25519_NO_INLINE_ASM"; + + if ($function->value === "curve25519") { + runcmd("building ref10..", "{$compile} {$flags} curve25519-ref10.c -c -o curve25519-ref10.o"); + runcmd("building ed25519..", "{$compile} {$flags} ed25519-donna.c -c -o ed25519.o"); + if ($with_sse2->set) { + runcmd("building ed25519-sse2..", "{$compile} {$flags} ed25519-donna-sse2.c -c -o ed25519-sse2.o -msse2"); + $flags .= " -DED25519_SSE2"; + $link .= " ed25519-sse2.o"; + } + runcmd("linking..", "{$compile} {$flags} {$link} fuzz-curve25519.c ed25519.o curve25519-ref10.o -o fuzz-curve25519"); + echoln("fuzz-curve25519 built."); + } else if ($function->value === "ed25519") { + runcmd("building ref10..", "{$compile} {$flags} ed25519-ref10.c -c -o ed25519-ref10.o"); + runcmd("building ed25519..", "{$compile} {$flags} ed25519-donna.c -c -o ed25519.o"); + if ($with_sse2->set) { + runcmd("building ed25519-sse2..", "{$compile} {$flags} ed25519-donna-sse2.c -c -o ed25519-sse2.o -msse2"); + $flags .= " -DED25519_SSE2"; + $link .= " ed25519-sse2.o"; + } + runcmd("linking..", "{$compile} {$flags} {$link} fuzz-ed25519.c ed25519.o ed25519-ref10.o -o fuzz-ed25519"); + echoln("fuzz-ed25519 built."); + } + + + cleanup(); +?> diff --git a/src/ext/ed25519/donna/fuzz/curve25519-ref10.c b/src/ext/ed25519/donna/fuzz/curve25519-ref10.c new file mode 100644 index 0000000..efefce6 --- /dev/null +++ b/src/ext/ed25519/donna/fuzz/curve25519-ref10.c @@ -0,0 +1,1272 @@ +#include <stdint.h> + +typedef int32_t crypto_int32; +typedef int64_t crypto_int64; +typedef uint64_t crypto_uint64; + +typedef crypto_int32 fe[10]; + +/* +h = 0 +*/ + +void fe_0(fe h) +{ + h[0] = 0; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} + +/* +h = 1 +*/ + +void fe_1(fe h) +{ + h[0] = 1; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} + +/* +h = f + g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +void fe_add(fe h,fe f,fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 h0 = f0 + g0; + crypto_int32 h1 = f1 + g1; + crypto_int32 h2 = f2 + g2; + crypto_int32 h3 = f3 + g3; + crypto_int32 h4 = f4 + g4; + crypto_int32 h5 = f5 + g5; + crypto_int32 h6 = f6 + g6; + crypto_int32 h7 = f7 + g7; + crypto_int32 h8 = f8 + g8; + crypto_int32 h9 = f9 + g9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* +h = f +*/ + +void fe_copy(fe h,fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + h[0] = f0; + h[1] = f1; + h[2] = f2; + h[3] = f3; + h[4] = f4; + h[5] = f5; + h[6] = f6; + h[7] = f7; + h[8] = f8; + h[9] = f9; +} + + +/* +Replace (f,g) with (g,f) if b == 1; +replace (f,g) with (f,g) if b == 0. + +Preconditions: b in {0,1}. +*/ + +void fe_cswap(fe f,fe g,unsigned int b) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 x0 = f0 ^ g0; + crypto_int32 x1 = f1 ^ g1; + crypto_int32 x2 = f2 ^ g2; + crypto_int32 x3 = f3 ^ g3; + crypto_int32 x4 = f4 ^ g4; + crypto_int32 x5 = f5 ^ g5; + crypto_int32 x6 = f6 ^ g6; + crypto_int32 x7 = f7 ^ g7; + crypto_int32 x8 = f8 ^ g8; + crypto_int32 x9 = f9 ^ g9; + b = -b; + x0 &= b; + x1 &= b; + x2 &= b; + x3 &= b; + x4 &= b; + x5 &= b; + x6 &= b; + x7 &= b; + x8 &= b; + x9 &= b; + f[0] = f0 ^ x0; + f[1] = f1 ^ x1; + f[2] = f2 ^ x2; + f[3] = f3 ^ x3; + f[4] = f4 ^ x4; + f[5] = f5 ^ x5; + f[6] = f6 ^ x6; + f[7] = f7 ^ x7; + f[8] = f8 ^ x8; + f[9] = f9 ^ x9; + g[0] = g0 ^ x0; + g[1] = g1 ^ x1; + g[2] = g2 ^ x2; + g[3] = g3 ^ x3; + g[4] = g4 ^ x4; + g[5] = g5 ^ x5; + g[6] = g6 ^ x6; + g[7] = g7 ^ x7; + g[8] = g8 ^ x8; + g[9] = g9 ^ x9; +} + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +void fe_frombytes(fe h,const unsigned char *s) +{ + crypto_int64 h0 = load_4(s); + crypto_int64 h1 = load_3(s + 4) << 6; + crypto_int64 h2 = load_3(s + 7) << 5; + crypto_int64 h3 = load_3(s + 10) << 3; + crypto_int64 h4 = load_3(s + 13) << 2; + crypto_int64 h5 = load_4(s + 16); + crypto_int64 h6 = load_3(s + 20) << 7; + crypto_int64 h7 = load_3(s + 23) << 5; + crypto_int64 h8 = load_3(s + 26) << 4; + crypto_int64 h9 = load_3(s + 29) << 2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + + +/* +h = f * g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. + |g| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. + +Postconditions: + |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*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. +*/ + +void fe_mul(fe h,fe f,fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 g1_19 = 19 * g1; /* 1.4*2^29 */ + crypto_int32 g2_19 = 19 * g2; /* 1.4*2^30; still ok */ + crypto_int32 g3_19 = 19 * g3; + crypto_int32 g4_19 = 19 * g4; + crypto_int32 g5_19 = 19 * g5; + crypto_int32 g6_19 = 19 * g6; + crypto_int32 g7_19 = 19 * g7; + crypto_int32 g8_19 = 19 * g8; + crypto_int32 g9_19 = 19 * g9; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f9_2 = 2 * f9; + crypto_int64 f0g0 = f0 * (crypto_int64) g0; + crypto_int64 f0g1 = f0 * (crypto_int64) g1; + crypto_int64 f0g2 = f0 * (crypto_int64) g2; + crypto_int64 f0g3 = f0 * (crypto_int64) g3; + crypto_int64 f0g4 = f0 * (crypto_int64) g4; + crypto_int64 f0g5 = f0 * (crypto_int64) g5; + crypto_int64 f0g6 = f0 * (crypto_int64) g6; + crypto_int64 f0g7 = f0 * (crypto_int64) g7; + crypto_int64 f0g8 = f0 * (crypto_int64) g8; + crypto_int64 f0g9 = f0 * (crypto_int64) g9; + crypto_int64 f1g0 = f1 * (crypto_int64) g0; + crypto_int64 f1g1_2 = f1_2 * (crypto_int64) g1; + crypto_int64 f1g2 = f1 * (crypto_int64) g2; + crypto_int64 f1g3_2 = f1_2 * (crypto_int64) g3; + crypto_int64 f1g4 = f1 * (crypto_int64) g4; + crypto_int64 f1g5_2 = f1_2 * (crypto_int64) g5; + crypto_int64 f1g6 = f1 * (crypto_int64) g6; + crypto_int64 f1g7_2 = f1_2 * (crypto_int64) g7; + crypto_int64 f1g8 = f1 * (crypto_int64) g8; + crypto_int64 f1g9_38 = f1_2 * (crypto_int64) g9_19; + crypto_int64 f2g0 = f2 * (crypto_int64) g0; + crypto_int64 f2g1 = f2 * (crypto_int64) g1; + crypto_int64 f2g2 = f2 * (crypto_int64) g2; + crypto_int64 f2g3 = f2 * (crypto_int64) g3; + crypto_int64 f2g4 = f2 * (crypto_int64) g4; + crypto_int64 f2g5 = f2 * (crypto_int64) g5; + crypto_int64 f2g6 = f2 * (crypto_int64) g6; + crypto_int64 f2g7 = f2 * (crypto_int64) g7; + crypto_int64 f2g8_19 = f2 * (crypto_int64) g8_19; + crypto_int64 f2g9_19 = f2 * (crypto_int64) g9_19; + crypto_int64 f3g0 = f3 * (crypto_int64) g0; + crypto_int64 f3g1_2 = f3_2 * (crypto_int64) g1; + crypto_int64 f3g2 = f3 * (crypto_int64) g2; + crypto_int64 f3g3_2 = f3_2 * (crypto_int64) g3; + crypto_int64 f3g4 = f3 * (crypto_int64) g4; + crypto_int64 f3g5_2 = f3_2 * (crypto_int64) g5; + crypto_int64 f3g6 = f3 * (crypto_int64) g6; + crypto_int64 f3g7_38 = f3_2 * (crypto_int64) g7_19; + crypto_int64 f3g8_19 = f3 * (crypto_int64) g8_19; + crypto_int64 f3g9_38 = f3_2 * (crypto_int64) g9_19; + crypto_int64 f4g0 = f4 * (crypto_int64) g0; + crypto_int64 f4g1 = f4 * (crypto_int64) g1; + crypto_int64 f4g2 = f4 * (crypto_int64) g2; + crypto_int64 f4g3 = f4 * (crypto_int64) g3; + crypto_int64 f4g4 = f4 * (crypto_int64) g4; + crypto_int64 f4g5 = f4 * (crypto_int64) g5; + crypto_int64 f4g6_19 = f4 * (crypto_int64) g6_19; + crypto_int64 f4g7_19 = f4 * (crypto_int64) g7_19; + crypto_int64 f4g8_19 = f4 * (crypto_int64) g8_19; + crypto_int64 f4g9_19 = f4 * (crypto_int64) g9_19; + crypto_int64 f5g0 = f5 * (crypto_int64) g0; + crypto_int64 f5g1_2 = f5_2 * (crypto_int64) g1; + crypto_int64 f5g2 = f5 * (crypto_int64) g2; + crypto_int64 f5g3_2 = f5_2 * (crypto_int64) g3; + crypto_int64 f5g4 = f5 * (crypto_int64) g4; + crypto_int64 f5g5_38 = f5_2 * (crypto_int64) g5_19; + crypto_int64 f5g6_19 = f5 * (crypto_int64) g6_19; + crypto_int64 f5g7_38 = f5_2 * (crypto_int64) g7_19; + crypto_int64 f5g8_19 = f5 * (crypto_int64) g8_19; + crypto_int64 f5g9_38 = f5_2 * (crypto_int64) g9_19; + crypto_int64 f6g0 = f6 * (crypto_int64) g0; + crypto_int64 f6g1 = f6 * (crypto_int64) g1; + crypto_int64 f6g2 = f6 * (crypto_int64) g2; + crypto_int64 f6g3 = f6 * (crypto_int64) g3; + crypto_int64 f6g4_19 = f6 * (crypto_int64) g4_19; + crypto_int64 f6g5_19 = f6 * (crypto_int64) g5_19; + crypto_int64 f6g6_19 = f6 * (crypto_int64) g6_19; + crypto_int64 f6g7_19 = f6 * (crypto_int64) g7_19; + crypto_int64 f6g8_19 = f6 * (crypto_int64) g8_19; + crypto_int64 f6g9_19 = f6 * (crypto_int64) g9_19; + crypto_int64 f7g0 = f7 * (crypto_int64) g0; + crypto_int64 f7g1_2 = f7_2 * (crypto_int64) g1; + crypto_int64 f7g2 = f7 * (crypto_int64) g2; + crypto_int64 f7g3_38 = f7_2 * (crypto_int64) g3_19; + crypto_int64 f7g4_19 = f7 * (crypto_int64) g4_19; + crypto_int64 f7g5_38 = f7_2 * (crypto_int64) g5_19; + crypto_int64 f7g6_19 = f7 * (crypto_int64) g6_19; + crypto_int64 f7g7_38 = f7_2 * (crypto_int64) g7_19; + crypto_int64 f7g8_19 = f7 * (crypto_int64) g8_19; + crypto_int64 f7g9_38 = f7_2 * (crypto_int64) g9_19; + crypto_int64 f8g0 = f8 * (crypto_int64) g0; + crypto_int64 f8g1 = f8 * (crypto_int64) g1; + crypto_int64 f8g2_19 = f8 * (crypto_int64) g2_19; + crypto_int64 f8g3_19 = f8 * (crypto_int64) g3_19; + crypto_int64 f8g4_19 = f8 * (crypto_int64) g4_19; + crypto_int64 f8g5_19 = f8 * (crypto_int64) g5_19; + crypto_int64 f8g6_19 = f8 * (crypto_int64) g6_19; + crypto_int64 f8g7_19 = f8 * (crypto_int64) g7_19; + crypto_int64 f8g8_19 = f8 * (crypto_int64) g8_19; + crypto_int64 f8g9_19 = f8 * (crypto_int64) g9_19; + crypto_int64 f9g0 = f9 * (crypto_int64) g0; + crypto_int64 f9g1_38 = f9_2 * (crypto_int64) g1_19; + crypto_int64 f9g2_19 = f9 * (crypto_int64) g2_19; + crypto_int64 f9g3_38 = f9_2 * (crypto_int64) g3_19; + crypto_int64 f9g4_19 = f9 * (crypto_int64) g4_19; + crypto_int64 f9g5_38 = f9_2 * (crypto_int64) g5_19; + crypto_int64 f9g6_19 = f9 * (crypto_int64) g6_19; + crypto_int64 f9g7_38 = f9_2 * (crypto_int64) g7_19; + crypto_int64 f9g8_19 = f9 * (crypto_int64) g8_19; + crypto_int64 f9g9_38 = f9_2 * (crypto_int64) g9_19; + crypto_int64 h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; + crypto_int64 h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; + crypto_int64 h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; + crypto_int64 h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; + crypto_int64 h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; + crypto_int64 h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; + crypto_int64 h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; + crypto_int64 h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; + crypto_int64 h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; + crypto_int64 h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + /* + |h0| <= (1.1*1.1*2^52*(1+19+19+19+19)+1.1*1.1*2^50*(38+38+38+38+38)) + i.e. |h0| <= 1.2*2^59; narrower ranges for h2, h4, h6, h8 + |h1| <= (1.1*1.1*2^51*(1+1+19+19+19+19+19+19+19+19)) + i.e. |h1| <= 1.5*2^58; narrower ranges for h3, h5, h7, h9 + */ + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + /* |h0| <= 2^25 */ + /* |h4| <= 2^25 */ + /* |h1| <= 1.51*2^58 */ + /* |h5| <= 1.51*2^58 */ + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (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| <= 1.21*2^59 */ + /* |h6| <= 1.21*2^59 */ + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (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| <= 1.51*2^58 */ + /* |h7| <= 1.51*2^58 */ + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (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| <= 1.52*2^33 */ + /* |h8| <= 1.52*2^33 */ + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (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| <= 1.51*2^58 */ + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + /* |h9| <= 2^24; from now on fits into int32 unchanged */ + /* |h0| <= 1.8*2^37 */ + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + /* |h0| <= 2^25; from now on fits into int32 unchanged */ + /* |h1| <= 1.01*2^24 */ + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* +h = f * 121666 +Can overlap h with f. + +Preconditions: + |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. + +Postconditions: + |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +*/ + +void fe_mul121666(fe h,fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int64 h0 = f0 * (crypto_int64) 121666; + crypto_int64 h1 = f1 * (crypto_int64) 121666; + crypto_int64 h2 = f2 * (crypto_int64) 121666; + crypto_int64 h3 = f3 * (crypto_int64) 121666; + crypto_int64 h4 = f4 * (crypto_int64) 121666; + crypto_int64 h5 = f5 * (crypto_int64) 121666; + crypto_int64 h6 = f6 * (crypto_int64) 121666; + crypto_int64 h7 = f7 * (crypto_int64) 121666; + crypto_int64 h8 = f8 * (crypto_int64) 121666; + crypto_int64 h9 = f9 * (crypto_int64) 121666; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* +h = f * f +Can overlap h with f. + +Preconditions: + |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. + +Postconditions: + |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +*/ + +/* +See fe_mul.c for discussion of implementation strategy. +*/ + +void fe_sq(fe h,fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 f0_2 = 2 * f0; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f2_2 = 2 * f2; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f4_2 = 2 * f4; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f6_2 = 2 * f6; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f5_38 = 38 * f5; /* 1.31*2^30 */ + crypto_int32 f6_19 = 19 * f6; /* 1.31*2^30 */ + crypto_int32 f7_38 = 38 * f7; /* 1.31*2^30 */ + crypto_int32 f8_19 = 19 * f8; /* 1.31*2^30 */ + crypto_int32 f9_38 = 38 * f9; /* 1.31*2^30 */ + crypto_int64 f0f0 = f0 * (crypto_int64) f0; + crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; + crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; + crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; + crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; + crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; + crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; + crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; + crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; + crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; + crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; + crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; + crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; + crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; + crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; + crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; + crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; + crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; + crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; + crypto_int64 f2f2 = f2 * (crypto_int64) f2; + crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; + crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; + crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; + crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; + crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; + crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; + crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; + crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; + crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; + crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; + crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; + crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; + crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; + crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; + crypto_int64 f4f4 = f4 * (crypto_int64) f4; + crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; + crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; + crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; + crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; + crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; + crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; + crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; + crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; + crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; + crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; + crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; + crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; + crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; + crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; + crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; + crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; + crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; + crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; + crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; + crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; + crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* +h = f - g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +void fe_sub(fe h,fe f,fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 h0 = f0 - g0; + crypto_int32 h1 = f1 - g1; + crypto_int32 h2 = f2 - g2; + crypto_int32 h3 = f3 - g3; + crypto_int32 h4 = f4 - g4; + crypto_int32 h5 = f5 - g5; + crypto_int32 h6 = f6 - g6; + crypto_int32 h7 = f7 - g7; + crypto_int32 h8 = f8 - g8; + crypto_int32 h9 = f9 - g9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* +Preconditions: + |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,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|<2^230 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_tobytes(unsigned char *s,fe h) +{ + crypto_int32 h0 = h[0]; + crypto_int32 h1 = h[1]; + crypto_int32 h2 = h[2]; + crypto_int32 h3 = h[3]; + crypto_int32 h4 = h[4]; + crypto_int32 h5 = h[5]; + crypto_int32 h6 = h[6]; + crypto_int32 h7 = h[7]; + crypto_int32 h8 = h[8]; + crypto_int32 h9 = h[9]; + crypto_int32 q; + crypto_int32 carry0; + crypto_int32 carry1; + crypto_int32 carry2; + crypto_int32 carry3; + crypto_int32 carry4; + crypto_int32 carry5; + crypto_int32 carry6; + crypto_int32 carry7; + crypto_int32 carry8; + crypto_int32 carry9; + + q = (19 * h9 + (((crypto_int32) 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; +} + +void fe_invert(fe out,fe z) +{ + fe t0; + fe t1; + fe t2; + fe t3; + int i; + + +/* qhasm: fe z1 */ + +/* qhasm: fe z2 */ + +/* qhasm: fe z8 */ + +/* qhasm: fe z9 */ + +/* qhasm: fe z11 */ + +/* qhasm: fe z22 */ + +/* qhasm: fe z_5_0 */ + +/* qhasm: fe z_10_5 */ + +/* qhasm: fe z_10_0 */ + +/* qhasm: fe z_20_10 */ + +/* qhasm: fe z_20_0 */ + +/* qhasm: fe z_40_20 */ + +/* qhasm: fe z_40_0 */ + +/* qhasm: fe z_50_10 */ + +/* qhasm: fe z_50_0 */ + +/* qhasm: fe z_100_50 */ + +/* qhasm: fe z_100_0 */ + +/* qhasm: fe z_200_100 */ + +/* qhasm: fe z_200_0 */ + +/* qhasm: fe z_250_50 */ + +/* qhasm: fe z_250_0 */ + +/* qhasm: fe z_255_5 */ + +/* qhasm: fe z_255_21 */ + +/* qhasm: enter pow225521 */ + +/* qhasm: z2 = z1^2^1 */ +/* asm 1: fe_sq(>z2=fe#1,<z1=fe#11); for (i = 1;i < 1;++i) fe_sq(>z2=fe#1,>z2=fe#1); */ +/* asm 2: fe_sq(>z2=t0,<z1=z); for (i = 1;i < 1;++i) fe_sq(>z2=t0,>z2=t0); */ +fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z8 = z2^2^2 */ +/* asm 1: fe_sq(>z8=fe#2,<z2=fe#1); for (i = 1;i < 2;++i) fe_sq(>z8=fe#2,>z8=fe#2); */ +/* asm 2: fe_sq(>z8=t1,<z2=t0); for (i = 1;i < 2;++i) fe_sq(>z8=t1,>z8=t1); */ +fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); + +/* qhasm: z9 = z1*z8 */ +/* asm 1: fe_mul(>z9=fe#2,<z1=fe#11,<z8=fe#2); */ +/* asm 2: fe_mul(>z9=t1,<z1=z,<z8=t1); */ +fe_mul(t1,z,t1); + +/* qhasm: z11 = z2*z9 */ +/* asm 1: fe_mul(>z11=fe#1,<z2=fe#1,<z9=fe#2); */ +/* asm 2: fe_mul(>z11=t0,<z2=t0,<z9=t1); */ +fe_mul(t0,t0,t1); + +/* qhasm: z22 = z11^2^1 */ +/* asm 1: fe_sq(>z22=fe#3,<z11=fe#1); for (i = 1;i < 1;++i) fe_sq(>z22=fe#3,>z22=fe#3); */ +/* asm 2: fe_sq(>z22=t2,<z11=t0); for (i = 1;i < 1;++i) fe_sq(>z22=t2,>z22=t2); */ +fe_sq(t2,t0); for (i = 1;i < 1;++i) fe_sq(t2,t2); + +/* qhasm: z_5_0 = z9*z22 */ +/* asm 1: fe_mul(>z_5_0=fe#2,<z9=fe#2,<z22=fe#3); */ +/* asm 2: fe_mul(>z_5_0=t1,<z9=t1,<z22=t2); */ +fe_mul(t1,t1,t2); + +/* qhasm: z_10_5 = z_5_0^2^5 */ +/* asm 1: fe_sq(>z_10_5=fe#3,<z_5_0=fe#2); for (i = 1;i < 5;++i) fe_sq(>z_10_5=fe#3,>z_10_5=fe#3); */ +/* asm 2: fe_sq(>z_10_5=t2,<z_5_0=t1); for (i = 1;i < 5;++i) fe_sq(>z_10_5=t2,>z_10_5=t2); */ +fe_sq(t2,t1); for (i = 1;i < 5;++i) fe_sq(t2,t2); + +/* qhasm: z_10_0 = z_10_5*z_5_0 */ +/* asm 1: fe_mul(>z_10_0=fe#2,<z_10_5=fe#3,<z_5_0=fe#2); */ +/* asm 2: fe_mul(>z_10_0=t1,<z_10_5=t2,<z_5_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_20_10 = z_10_0^2^10 */ +/* asm 1: fe_sq(>z_20_10=fe#3,<z_10_0=fe#2); for (i = 1;i < 10;++i) fe_sq(>z_20_10=fe#3,>z_20_10=fe#3); */ +/* asm 2: fe_sq(>z_20_10=t2,<z_10_0=t1); for (i = 1;i < 10;++i) fe_sq(>z_20_10=t2,>z_20_10=t2); */ +fe_sq(t2,t1); for (i = 1;i < 10;++i) fe_sq(t2,t2); + +/* qhasm: z_20_0 = z_20_10*z_10_0 */ +/* asm 1: fe_mul(>z_20_0=fe#3,<z_20_10=fe#3,<z_10_0=fe#2); */ +/* asm 2: fe_mul(>z_20_0=t2,<z_20_10=t2,<z_10_0=t1); */ +fe_mul(t2,t2,t1); + +/* qhasm: z_40_20 = z_20_0^2^20 */ +/* asm 1: fe_sq(>z_40_20=fe#4,<z_20_0=fe#3); for (i = 1;i < 20;++i) fe_sq(>z_40_20=fe#4,>z_40_20=fe#4); */ +/* asm 2: fe_sq(>z_40_20=t3,<z_20_0=t2); for (i = 1;i < 20;++i) fe_sq(>z_40_20=t3,>z_40_20=t3); */ +fe_sq(t3,t2); for (i = 1;i < 20;++i) fe_sq(t3,t3); + +/* qhasm: z_40_0 = z_40_20*z_20_0 */ +/* asm 1: fe_mul(>z_40_0=fe#3,<z_40_20=fe#4,<z_20_0=fe#3); */ +/* asm 2: fe_mul(>z_40_0=t2,<z_40_20=t3,<z_20_0=t2); */ +fe_mul(t2,t3,t2); + +/* qhasm: z_50_10 = z_40_0^2^10 */ +/* asm 1: fe_sq(>z_50_10=fe#3,<z_40_0=fe#3); for (i = 1;i < 10;++i) fe_sq(>z_50_10=fe#3,>z_50_10=fe#3); */ +/* asm 2: fe_sq(>z_50_10=t2,<z_40_0=t2); for (i = 1;i < 10;++i) fe_sq(>z_50_10=t2,>z_50_10=t2); */ +fe_sq(t2,t2); for (i = 1;i < 10;++i) fe_sq(t2,t2); + +/* qhasm: z_50_0 = z_50_10*z_10_0 */ +/* asm 1: fe_mul(>z_50_0=fe#2,<z_50_10=fe#3,<z_10_0=fe#2); */ +/* asm 2: fe_mul(>z_50_0=t1,<z_50_10=t2,<z_10_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_100_50 = z_50_0^2^50 */ +/* asm 1: fe_sq(>z_100_50=fe#3,<z_50_0=fe#2); for (i = 1;i < 50;++i) fe_sq(>z_100_50=fe#3,>z_100_50=fe#3); */ +/* asm 2: fe_sq(>z_100_50=t2,<z_50_0=t1); for (i = 1;i < 50;++i) fe_sq(>z_100_50=t2,>z_100_50=t2); */ +fe_sq(t2,t1); for (i = 1;i < 50;++i) fe_sq(t2,t2); + +/* qhasm: z_100_0 = z_100_50*z_50_0 */ +/* asm 1: fe_mul(>z_100_0=fe#3,<z_100_50=fe#3,<z_50_0=fe#2); */ +/* asm 2: fe_mul(>z_100_0=t2,<z_100_50=t2,<z_50_0=t1); */ +fe_mul(t2,t2,t1); + +/* qhasm: z_200_100 = z_100_0^2^100 */ +/* asm 1: fe_sq(>z_200_100=fe#4,<z_100_0=fe#3); for (i = 1;i < 100;++i) fe_sq(>z_200_100=fe#4,>z_200_100=fe#4); */ +/* asm 2: fe_sq(>z_200_100=t3,<z_100_0=t2); for (i = 1;i < 100;++i) fe_sq(>z_200_100=t3,>z_200_100=t3); */ +fe_sq(t3,t2); for (i = 1;i < 100;++i) fe_sq(t3,t3); + +/* qhasm: z_200_0 = z_200_100*z_100_0 */ +/* asm 1: fe_mul(>z_200_0=fe#3,<z_200_100=fe#4,<z_100_0=fe#3); */ +/* asm 2: fe_mul(>z_200_0=t2,<z_200_100=t3,<z_100_0=t2); */ +fe_mul(t2,t3,t2); + +/* qhasm: z_250_50 = z_200_0^2^50 */ +/* asm 1: fe_sq(>z_250_50=fe#3,<z_200_0=fe#3); for (i = 1;i < 50;++i) fe_sq(>z_250_50=fe#3,>z_250_50=fe#3); */ +/* asm 2: fe_sq(>z_250_50=t2,<z_200_0=t2); for (i = 1;i < 50;++i) fe_sq(>z_250_50=t2,>z_250_50=t2); */ +fe_sq(t2,t2); for (i = 1;i < 50;++i) fe_sq(t2,t2); + +/* qhasm: z_250_0 = z_250_50*z_50_0 */ +/* asm 1: fe_mul(>z_250_0=fe#2,<z_250_50=fe#3,<z_50_0=fe#2); */ +/* asm 2: fe_mul(>z_250_0=t1,<z_250_50=t2,<z_50_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_255_5 = z_250_0^2^5 */ +/* asm 1: fe_sq(>z_255_5=fe#2,<z_250_0=fe#2); for (i = 1;i < 5;++i) fe_sq(>z_255_5=fe#2,>z_255_5=fe#2); */ +/* asm 2: fe_sq(>z_255_5=t1,<z_250_0=t1); for (i = 1;i < 5;++i) fe_sq(>z_255_5=t1,>z_255_5=t1); */ +fe_sq(t1,t1); for (i = 1;i < 5;++i) fe_sq(t1,t1); + +/* qhasm: z_255_21 = z_255_5*z11 */ +/* asm 1: fe_mul(>z_255_21=fe#12,<z_255_5=fe#2,<z11=fe#1); */ +/* asm 2: fe_mul(>z_255_21=out,<z_255_5=t1,<z11=t0); */ +fe_mul(out,t1,t0); + +/* qhasm: return */ + + return; +} + + +int crypto_scalarmult_ref10(unsigned char *q, + const unsigned char *n, + const unsigned char *p) +{ + unsigned char e[32]; + unsigned int i; + fe x1; + fe x2; + fe z2; + fe x3; + fe z3; + fe tmp0; + fe tmp1; + int pos; + unsigned int swap; + unsigned int b; + + for (i = 0;i < 32;++i) e[i] = n[i]; + e[0] &= 248; + e[31] &= 127; + e[31] |= 64; + fe_frombytes(x1,p); + fe_1(x2); + fe_0(z2); + fe_copy(x3,x1); + fe_1(z3); + + swap = 0; + for (pos = 254;pos >= 0;--pos) { + b = e[pos / 8] >> (pos & 7); + b &= 1; + swap ^= b; + fe_cswap(x2,x3,swap); + fe_cswap(z2,z3,swap); + swap = b; +/* qhasm: fe X2 */ + +/* qhasm: fe Z2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe X4 */ + +/* qhasm: fe Z4 */ + +/* qhasm: fe X5 */ + +/* qhasm: fe Z5 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: fe E */ + +/* qhasm: fe AA */ + +/* qhasm: fe BB */ + +/* qhasm: fe DA */ + +/* qhasm: fe CB */ + +/* qhasm: fe t0 */ + +/* qhasm: fe t1 */ + +/* qhasm: fe t2 */ + +/* qhasm: fe t3 */ + +/* qhasm: fe t4 */ + +/* qhasm: enter ladder */ + +/* qhasm: D = X3-Z3 */ +/* asm 1: fe_sub(>D=fe#5,<X3=fe#3,<Z3=fe#4); */ +/* asm 2: fe_sub(>D=tmp0,<X3=x3,<Z3=z3); */ +fe_sub(tmp0,x3,z3); + +/* qhasm: B = X2-Z2 */ +/* asm 1: fe_sub(>B=fe#6,<X2=fe#1,<Z2=fe#2); */ +/* asm 2: fe_sub(>B=tmp1,<X2=x2,<Z2=z2); */ +fe_sub(tmp1,x2,z2); + +/* qhasm: A = X2+Z2 */ +/* asm 1: fe_add(>A=fe#1,<X2=fe#1,<Z2=fe#2); */ +/* asm 2: fe_add(>A=x2,<X2=x2,<Z2=z2); */ +fe_add(x2,x2,z2); + +/* qhasm: C = X3+Z3 */ +/* asm 1: fe_add(>C=fe#2,<X3=fe#3,<Z3=fe#4); */ +/* asm 2: fe_add(>C=z2,<X3=x3,<Z3=z3); */ +fe_add(z2,x3,z3); + +/* qhasm: DA = D*A */ +/* asm 1: fe_mul(>DA=fe#4,<D=fe#5,<A=fe#1); */ +/* asm 2: fe_mul(>DA=z3,<D=tmp0,<A=x2); */ +fe_mul(z3,tmp0,x2); + +/* qhasm: CB = C*B */ +/* asm 1: fe_mul(>CB=fe#2,<C=fe#2,<B=fe#6); */ +/* asm 2: fe_mul(>CB=z2,<C=z2,<B=tmp1); */ +fe_mul(z2,z2,tmp1); + +/* qhasm: BB = B^2 */ +/* asm 1: fe_sq(>BB=fe#5,<B=fe#6); */ +/* asm 2: fe_sq(>BB=tmp0,<B=tmp1); */ +fe_sq(tmp0,tmp1); + +/* qhasm: AA = A^2 */ +/* asm 1: fe_sq(>AA=fe#6,<A=fe#1); */ +/* asm 2: fe_sq(>AA=tmp1,<A=x2); */ +fe_sq(tmp1,x2); + +/* qhasm: t0 = DA+CB */ +/* asm 1: fe_add(>t0=fe#3,<DA=fe#4,<CB=fe#2); */ +/* asm 2: fe_add(>t0=x3,<DA=z3,<CB=z2); */ +fe_add(x3,z3,z2); + +/* qhasm: assign x3 to t0 */ + +/* qhasm: t1 = DA-CB */ +/* asm 1: fe_sub(>t1=fe#2,<DA=fe#4,<CB=fe#2); */ +/* asm 2: fe_sub(>t1=z2,<DA=z3,<CB=z2); */ +fe_sub(z2,z3,z2); + +/* qhasm: X4 = AA*BB */ +/* asm 1: fe_mul(>X4=fe#1,<AA=fe#6,<BB=fe#5); */ +/* asm 2: fe_mul(>X4=x2,<AA=tmp1,<BB=tmp0); */ +fe_mul(x2,tmp1,tmp0); + +/* qhasm: E = AA-BB */ +/* asm 1: fe_sub(>E=fe#6,<AA=fe#6,<BB=fe#5); */ +/* asm 2: fe_sub(>E=tmp1,<AA=tmp1,<BB=tmp0); */ +fe_sub(tmp1,tmp1,tmp0); + +/* qhasm: t2 = t1^2 */ +/* asm 1: fe_sq(>t2=fe#2,<t1=fe#2); */ +/* asm 2: fe_sq(>t2=z2,<t1=z2); */ +fe_sq(z2,z2); + +/* qhasm: t3 = a24*E */ +/* asm 1: fe_mul121666(>t3=fe#4,<E=fe#6); */ +/* asm 2: fe_mul121666(>t3=z3,<E=tmp1); */ +fe_mul121666(z3,tmp1); + +/* qhasm: X5 = t0^2 */ +/* asm 1: fe_sq(>X5=fe#3,<t0=fe#3); */ +/* asm 2: fe_sq(>X5=x3,<t0=x3); */ +fe_sq(x3,x3); + +/* qhasm: t4 = BB+t3 */ +/* asm 1: fe_add(>t4=fe#5,<BB=fe#5,<t3=fe#4); */ +/* asm 2: fe_add(>t4=tmp0,<BB=tmp0,<t3=z3); */ +fe_add(tmp0,tmp0,z3); + +/* qhasm: Z5 = X1*t2 */ +/* asm 1: fe_mul(>Z5=fe#4,x1,<t2=fe#2); */ +/* asm 2: fe_mul(>Z5=z3,x1,<t2=z2); */ +fe_mul(z3,x1,z2); + +/* qhasm: Z4 = E*t4 */ +/* asm 1: fe_mul(>Z4=fe#2,<E=fe#6,<t4=fe#5); */ +/* asm 2: fe_mul(>Z4=z2,<E=tmp1,<t4=tmp0); */ +fe_mul(z2,tmp1,tmp0); + +/* qhasm: return */ + } + fe_cswap(x2,x3,swap); + fe_cswap(z2,z3,swap); + + fe_invert(z2,z2); + fe_mul(x2,x2,z2); + fe_tobytes(q,x2); + return 0; +} + +static const unsigned char basepoint[32] = {9}; + +int crypto_scalarmult_base_ref10(unsigned char *q,const unsigned char *n) +{ + return crypto_scalarmult_ref10(q,n,basepoint); +} + diff --git a/src/ext/ed25519/donna/fuzz/curve25519-ref10.h b/src/ext/ed25519/donna/fuzz/curve25519-ref10.h new file mode 100644 index 0000000..fc005b5 --- /dev/null +++ b/src/ext/ed25519/donna/fuzz/curve25519-ref10.h @@ -0,0 +1,8 @@ +#ifndef CURVE25519_REF10_H +#define CURVE25519_REF10_H + +int crypto_scalarmult_base_ref10(unsigned char *q,const unsigned char *n); +int crypto_scalarmult_ref10(unsigned char *q, const unsigned char *n, const unsigned char *p); + +#endif /* CURVE25519_REF10_H */ + diff --git a/src/ext/ed25519/donna/fuzz/ed25519-donna-sse2.c b/src/ext/ed25519/donna/fuzz/ed25519-donna-sse2.c new file mode 100644 index 0000000..ba47b1e --- /dev/null +++ b/src/ext/ed25519/donna/fuzz/ed25519-donna-sse2.c @@ -0,0 +1,3 @@ +#define ED25519_SUFFIX _sse2 +#define ED25519_SSE2 +#include "../ed25519.c" diff --git a/src/ext/ed25519/donna/fuzz/ed25519-donna.c b/src/ext/ed25519/donna/fuzz/ed25519-donna.c new file mode 100644 index 0000000..45d03b6 --- /dev/null +++ b/src/ext/ed25519/donna/fuzz/ed25519-donna.c @@ -0,0 +1 @@ +#include "../ed25519.c" diff --git a/src/ext/ed25519/donna/fuzz/ed25519-donna.h b/src/ext/ed25519/donna/fuzz/ed25519-donna.h new file mode 100644 index 0000000..7cd72e3 --- /dev/null +++ b/src/ext/ed25519/donna/fuzz/ed25519-donna.h @@ -0,0 +1,34 @@ +#ifndef ED25519_H +#define ED25519_H + +#include <stdlib.h> + +typedef unsigned char ed25519_signature[64]; +typedef unsigned char ed25519_public_key[32]; +typedef unsigned char ed25519_secret_key[32]; + +typedef unsigned char curved25519_key[32]; + +void ed25519_publickey(const ed25519_secret_key sk, ed25519_public_key pk); +int ed25519_sign_open(const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS); +void ed25519_sign(const unsigned char *m, size_t mlen, const ed25519_secret_key sk, const ed25519_public_key pk, ed25519_signature RS); + +int ed25519_sign_open_batch(const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid); + +void ed25519_randombytes_unsafe(void *out, size_t count); + +void curved25519_scalarmult_basepoint(curved25519_key pk, const curved25519_key e); + +#if defined(ED25519_SSE2) +void ed25519_publickey_sse2(const ed25519_secret_key sk, ed25519_public_key pk); +int ed25519_sign_open_sse2(const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS); +void ed25519_sign_sse2(const unsigned char *m, size_t mlen, const ed25519_secret_key sk, const ed25519_public_key pk, ed25519_signature RS); + +int ed25519_sign_open_batch_sse2(const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid); + +void ed25519_randombytes_unsafe_sse2(void *out, size_t count); + +void curved25519_scalarmult_basepoint_sse2(curved25519_key pk, const curved25519_key e); +#endif + +#endif // ED25519_H diff --git a/src/ext/ed25519/donna/fuzz/ed25519-ref10.c b/src/ext/ed25519/donna/fuzz/ed25519-ref10.c new file mode 100644 index 0000000..a8e802d --- /dev/null +++ b/src/ext/ed25519/donna/fuzz/ed25519-ref10.c @@ -0,0 +1,4647 @@ +#include <stdint.h> +#include <stddef.h> +#include <string.h> + +static int crypto_verify_32(const unsigned char *x,const unsigned char *y) +{ + unsigned int differentbits = 0; +#define F(i) differentbits |= x[i] ^ y[i]; + F(0) + F(1) + F(2) + F(3) + F(4) + F(5) + F(6) + F(7) + F(8) + F(9) + F(10) + F(11) + F(12) + F(13) + F(14) + F(15) + F(16) + F(17) + F(18) + F(19) + F(20) + F(21) + F(22) + F(23) + F(24) + F(25) + F(26) + F(27) + F(28) + F(29) + F(30) + F(31) + return (1 & ((differentbits - 1) >> 8)) - 1; +} + +#if defined(ED25519_REFHASH) + +/* reference/slow SHA-512. really, do not use this */ + +#define HASH_BLOCK_SIZE 128 +#define HASH_DIGEST_SIZE 64 + +typedef struct sha512_state_t { + uint64_t H[8]; + uint64_t T[2]; + uint32_t leftover; + uint8_t buffer[HASH_BLOCK_SIZE]; +} sha512_state; + +typedef sha512_state ed25519_hash_context; + +static const uint64_t sha512_constants[80] = { + 0x428a2f98d728ae22ull, 0x7137449123ef65cdull, 0xb5c0fbcfec4d3b2full, 0xe9b5dba58189dbbcull, + 0x3956c25bf348b538ull, 0x59f111f1b605d019ull, 0x923f82a4af194f9bull, 0xab1c5ed5da6d8118ull, + 0xd807aa98a3030242ull, 0x12835b0145706fbeull, 0x243185be4ee4b28cull, 0x550c7dc3d5ffb4e2ull, + 0x72be5d74f27b896full, 0x80deb1fe3b1696b1ull, 0x9bdc06a725c71235ull, 0xc19bf174cf692694ull, + 0xe49b69c19ef14ad2ull, 0xefbe4786384f25e3ull, 0x0fc19dc68b8cd5b5ull, 0x240ca1cc77ac9c65ull, + 0x2de92c6f592b0275ull, 0x4a7484aa6ea6e483ull, 0x5cb0a9dcbd41fbd4ull, 0x76f988da831153b5ull, + 0x983e5152ee66dfabull, 0xa831c66d2db43210ull, 0xb00327c898fb213full, 0xbf597fc7beef0ee4ull, + 0xc6e00bf33da88fc2ull, 0xd5a79147930aa725ull, 0x06ca6351e003826full, 0x142929670a0e6e70ull, + 0x27b70a8546d22ffcull, 0x2e1b21385c26c926ull, 0x4d2c6dfc5ac42aedull, 0x53380d139d95b3dfull, + 0x650a73548baf63deull, 0x766a0abb3c77b2a8ull, 0x81c2c92e47edaee6ull, 0x92722c851482353bull, + 0xa2bfe8a14cf10364ull, 0xa81a664bbc423001ull, 0xc24b8b70d0f89791ull, 0xc76c51a30654be30ull, + 0xd192e819d6ef5218ull, 0xd69906245565a910ull, 0xf40e35855771202aull, 0x106aa07032bbd1b8ull, + 0x19a4c116b8d2d0c8ull, 0x1e376c085141ab53ull, 0x2748774cdf8eeb99ull, 0x34b0bcb5e19b48a8ull, + 0x391c0cb3c5c95a63ull, 0x4ed8aa4ae3418acbull, 0x5b9cca4f7763e373ull, 0x682e6ff3d6b2b8a3ull, + 0x748f82ee5defb2fcull, 0x78a5636f43172f60ull, 0x84c87814a1f0ab72ull, 0x8cc702081a6439ecull, + 0x90befffa23631e28ull, 0xa4506cebde82bde9ull, 0xbef9a3f7b2c67915ull, 0xc67178f2e372532bull, + 0xca273eceea26619cull, 0xd186b8c721c0c207ull, 0xeada7dd6cde0eb1eull, 0xf57d4f7fee6ed178ull, + 0x06f067aa72176fbaull, 0x0a637dc5a2c898a6ull, 0x113f9804bef90daeull, 0x1b710b35131c471bull, + 0x28db77f523047d84ull, 0x32caab7b40c72493ull, 0x3c9ebe0a15c9bebcull, 0x431d67c49c100d4cull, + 0x4cc5d4becb3e42b6ull, 0x597f299cfc657e2aull, 0x5fcb6fab3ad6faecull, 0x6c44198c4a475817ull +}; + +static uint64_t +sha512_ROTR64(uint64_t x, int k) { + return (x >> k) | (x << (64 - k)); +} + +static uint64_t +sha512_LOAD64_BE(const uint8_t *p) { + return + ((uint64_t)p[0] << 56) | + ((uint64_t)p[1] << 48) | + ((uint64_t)p[2] << 40) | + ((uint64_t)p[3] << 32) | + ((uint64_t)p[4] << 24) | + ((uint64_t)p[5] << 16) | + ((uint64_t)p[6] << 8) | + ((uint64_t)p[7] ); +} + +static void +sha512_STORE64_BE(uint8_t *p, uint64_t v) { + p[0] = (uint8_t)(v >> 56); + p[1] = (uint8_t)(v >> 48); + p[2] = (uint8_t)(v >> 40); + p[3] = (uint8_t)(v >> 32); + p[4] = (uint8_t)(v >> 24); + p[5] = (uint8_t)(v >> 16); + p[6] = (uint8_t)(v >> 8); + p[7] = (uint8_t)(v ); +} + +#define Ch(x,y,z) (z ^ (x & (y ^ z))) +#define Maj(x,y,z) (((x | y) & z) | (x & y)) +#define S0(x) (sha512_ROTR64(x, 28) ^ sha512_ROTR64(x, 34) ^ sha512_ROTR64(x, 39)) +#define S1(x) (sha512_ROTR64(x, 14) ^ sha512_ROTR64(x, 18) ^ sha512_ROTR64(x, 41)) +#define G0(x) (sha512_ROTR64(x, 1) ^ sha512_ROTR64(x, 8) ^ (x >> 7)) +#define G1(x) (sha512_ROTR64(x, 19) ^ sha512_ROTR64(x, 61) ^ (x >> 6)) +#define W0(in,i) (sha512_LOAD64_BE(&in[i * 8])) +#define W1(i) (G1(w[i - 2]) + w[i - 7] + G0(w[i - 15]) + w[i - 16]) +#define STEP(i) \ + t1 = S0(r[0]) + Maj(r[0], r[1], r[2]); \ + t0 = r[7] + S1(r[4]) + Ch(r[4], r[5], r[6]) + sha512_constants[i] + w[i]; \ + r[7] = r[6]; \ + r[6] = r[5]; \ + r[5] = r[4]; \ + r[4] = r[3] + t0; \ + r[3] = r[2]; \ + r[2] = r[1]; \ + r[1] = r[0]; \ + r[0] = t0 + t1; + +static void +sha512_blocks(sha512_state *S, const uint8_t *in, size_t blocks) { + uint64_t r[8], w[80], t0, t1; + size_t i; + + for (i = 0; i < 8; i++) r[i] = S->H[i]; + + while (blocks--) { + for (i = 0; i < 16; i++) { w[i] = W0(in, i); } + for (i = 16; i < 80; i++) { w[i] = W1(i); } + for (i = 0; i < 80; i++) { STEP(i); } + for (i = 0; i < 8; i++) { r[i] += S->H[i]; S->H[i] = r[i]; } + S->T[0] += HASH_BLOCK_SIZE * 8; + S->T[1] += (!S->T[0]) ? 1 : 0; + in += HASH_BLOCK_SIZE; + } +} + +static void +ed25519_hash_init(sha512_state *S) { + S->H[0] = 0x6a09e667f3bcc908ull; + S->H[1] = 0xbb67ae8584caa73bull; + S->H[2] = 0x3c6ef372fe94f82bull; + S->H[3] = 0xa54ff53a5f1d36f1ull; + S->H[4] = 0x510e527fade682d1ull; + S->H[5] = 0x9b05688c2b3e6c1full; + S->H[6] = 0x1f83d9abfb41bd6bull; + S->H[7] = 0x5be0cd19137e2179ull; + S->T[0] = 0; + S->T[1] = 0; + S->leftover = 0; +} + +static void +ed25519_hash_update(sha512_state *S, const uint8_t *in, size_t inlen) { + size_t blocks, want; + + /* handle the previous data */ + if (S->leftover) { + want = (HASH_BLOCK_SIZE - S->leftover); + want = (want < inlen) ? want : inlen; + memcpy(S->buffer + S->leftover, in, want); + S->leftover += (uint32_t)want; + if (S->leftover < HASH_BLOCK_SIZE) + return; + in += want; + inlen -= want; + sha512_blocks(S, S->buffer, 1); + } + + /* handle the current data */ + blocks = (inlen & ~(HASH_BLOCK_SIZE - 1)); + S->leftover = (uint32_t)(inlen - blocks); + if (blocks) { + sha512_blocks(S, in, blocks / HASH_BLOCK_SIZE); + in += blocks; + } + + /* handle leftover data */ + if (S->leftover) + memcpy(S->buffer, in, S->leftover); +} + +static void +ed25519_hash_final(sha512_state *S, uint8_t *hash) { + uint64_t t0 = S->T[0] + (S->leftover * 8), t1 = S->T[1]; + + S->buffer[S->leftover] = 0x80; + if (S->leftover <= 111) { + memset(S->buffer + S->leftover + 1, 0, 111 - S->leftover); + } else { + memset(S->buffer + S->leftover + 1, 0, 127 - S->leftover); + sha512_blocks(S, S->buffer, 1); + memset(S->buffer, 0, 112); + } + + sha512_STORE64_BE(S->buffer + 112, t1); + sha512_STORE64_BE(S->buffer + 120, t0); + sha512_blocks(S, S->buffer, 1); + + sha512_STORE64_BE(&hash[ 0], S->H[0]); + sha512_STORE64_BE(&hash[ 8], S->H[1]); + sha512_STORE64_BE(&hash[16], S->H[2]); + sha512_STORE64_BE(&hash[24], S->H[3]); + sha512_STORE64_BE(&hash[32], S->H[4]); + sha512_STORE64_BE(&hash[40], S->H[5]); + sha512_STORE64_BE(&hash[48], S->H[6]); + sha512_STORE64_BE(&hash[56], S->H[7]); +} + +static void +crypto_hash_sha512(unsigned char *hash, const unsigned char *in, size_t inlen) { + ed25519_hash_context ctx; + ed25519_hash_init(&ctx); + ed25519_hash_update(&ctx, in, inlen); + ed25519_hash_final(&ctx, hash); +} + +#else + +#include <openssl/sha.h> + +static void +crypto_hash_sha512(unsigned char *hash, const unsigned char *in, size_t inlen) { + SHA512(in, inlen, hash); +} + +#endif + + + + +typedef int32_t crypto_int32; +typedef uint32_t crypto_uint32; +typedef int64_t crypto_int64; +typedef uint64_t crypto_uint64; + +typedef crypto_int32 fe[10]; + +/* +h = 0 +*/ + +static void fe_0(fe h) +{ + h[0] = 0; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} + +/* +h = 1 +*/ + +static void fe_1(fe h) +{ + h[0] = 1; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} + +/* +h = f + g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +static void fe_add(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 h0 = f0 + g0; + crypto_int32 h1 = f1 + g1; + crypto_int32 h2 = f2 + g2; + crypto_int32 h3 = f3 + g3; + crypto_int32 h4 = f4 + g4; + crypto_int32 h5 = f5 + g5; + crypto_int32 h6 = f6 + g6; + crypto_int32 h7 = f7 + g7; + crypto_int32 h8 = f8 + g8; + crypto_int32 h9 = f9 + g9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + + +/* +Replace (f,g) with (g,g) if b == 1; +replace (f,g) with (f,g) if b == 0. + +Preconditions: b in {0,1}. +*/ + +static void fe_cmov(fe f,const fe g,unsigned int b) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 x0 = f0 ^ g0; + crypto_int32 x1 = f1 ^ g1; + crypto_int32 x2 = f2 ^ g2; + crypto_int32 x3 = f3 ^ g3; + crypto_int32 x4 = f4 ^ g4; + crypto_int32 x5 = f5 ^ g5; + crypto_int32 x6 = f6 ^ g6; + crypto_int32 x7 = f7 ^ g7; + crypto_int32 x8 = f8 ^ g8; + crypto_int32 x9 = f9 ^ g9; + b = -b; + x0 &= b; + x1 &= b; + x2 &= b; + x3 &= b; + x4 &= b; + x5 &= b; + x6 &= b; + x7 &= b; + x8 &= b; + x9 &= b; + f[0] = f0 ^ x0; + f[1] = f1 ^ x1; + f[2] = f2 ^ x2; + f[3] = f3 ^ x3; + f[4] = f4 ^ x4; + f[5] = f5 ^ x5; + f[6] = f6 ^ x6; + f[7] = f7 ^ x7; + f[8] = f8 ^ x8; + f[9] = f9 ^ x9; +} + + +/* +h = f +*/ + +static void fe_copy(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + h[0] = f0; + h[1] = f1; + h[2] = f2; + h[3] = f3; + h[4] = f4; + h[5] = f5; + h[6] = f6; + h[7] = f7; + h[8] = f8; + h[9] = f9; +} + + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +/* +Ignores top bit of h. +*/ + +static void fe_frombytes(fe h,const unsigned char *s) +{ + crypto_int64 h0 = load_4(s); + crypto_int64 h1 = load_3(s + 4) << 6; + crypto_int64 h2 = load_3(s + 7) << 5; + crypto_int64 h3 = load_3(s + 10) << 3; + crypto_int64 h4 = load_3(s + 13) << 2; + crypto_int64 h5 = load_4(s + 16); + crypto_int64 h6 = load_3(s + 20) << 7; + crypto_int64 h7 = load_3(s + 23) << 5; + crypto_int64 h8 = load_3(s + 26) << 4; + crypto_int64 h9 = (load_3(s + 29) & 8388607) << 2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[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. +*/ + +static void fe_tobytes(unsigned char *s,const fe h) +{ + crypto_int32 h0 = h[0]; + crypto_int32 h1 = h[1]; + crypto_int32 h2 = h[2]; + crypto_int32 h3 = h[3]; + crypto_int32 h4 = h[4]; + crypto_int32 h5 = h[5]; + crypto_int32 h6 = h[6]; + crypto_int32 h7 = h[7]; + crypto_int32 h8 = h[8]; + crypto_int32 h9 = h[9]; + crypto_int32 q; + crypto_int32 carry0; + crypto_int32 carry1; + crypto_int32 carry2; + crypto_int32 carry3; + crypto_int32 carry4; + crypto_int32 carry5; + crypto_int32 carry6; + crypto_int32 carry7; + crypto_int32 carry8; + crypto_int32 carry9; + + q = (19 * h9 + (((crypto_int32) 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; +} + + +/* +h = f - g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +static void fe_sub(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 h0 = f0 - g0; + crypto_int32 h1 = f1 - g1; + crypto_int32 h2 = f2 - g2; + crypto_int32 h3 = f3 - g3; + crypto_int32 h4 = f4 - g4; + crypto_int32 h5 = f5 - g5; + crypto_int32 h6 = f6 - g6; + crypto_int32 h7 = f7 - g7; + crypto_int32 h8 = f8 - g8; + crypto_int32 h9 = f9 - g9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = 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 void fe_sq(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 f0_2 = 2 * f0; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f2_2 = 2 * f2; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f4_2 = 2 * f4; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f6_2 = 2 * f6; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ + crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ + crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ + crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ + crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ + crypto_int64 f0f0 = f0 * (crypto_int64) f0; + crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; + crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; + crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; + crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; + crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; + crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; + crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; + crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; + crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; + crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; + crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; + crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; + crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; + crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; + crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; + crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; + crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; + crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; + crypto_int64 f2f2 = f2 * (crypto_int64) f2; + crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; + crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; + crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; + crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; + crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; + crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; + crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; + crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; + crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; + crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; + crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; + crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; + crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; + crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; + crypto_int64 f4f4 = f4 * (crypto_int64) f4; + crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; + crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; + crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; + crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; + crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; + crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; + crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; + crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; + crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; + crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; + crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; + crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; + crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; + crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; + crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; + crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; + crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; + crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; + crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; + crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; + crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* +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 void fe_sq2(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 f0_2 = 2 * f0; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f2_2 = 2 * f2; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f4_2 = 2 * f4; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f6_2 = 2 * f6; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ + crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ + crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ + crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ + crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ + crypto_int64 f0f0 = f0 * (crypto_int64) f0; + crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; + crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; + crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; + crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; + crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; + crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; + crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; + crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; + crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; + crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; + crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; + crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; + crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; + crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; + crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; + crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; + crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; + crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; + crypto_int64 f2f2 = f2 * (crypto_int64) f2; + crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; + crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; + crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; + crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; + crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; + crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; + crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; + crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; + crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; + crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; + crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; + crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; + crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; + crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; + crypto_int64 f4f4 = f4 * (crypto_int64) f4; + crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; + crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; + crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; + crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; + crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; + crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; + crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; + crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; + crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; + crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; + crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; + crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; + crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; + crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; + crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; + crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; + crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; + crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; + crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; + crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; + crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + h0 += h0; + h1 += h1; + h2 += h2; + h3 += h3; + h4 += h4; + h5 += h5; + h6 += h6; + h7 += h7; + h8 += h8; + h9 += h9; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* +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 void fe_mul(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 g1_19 = 19 * g1; /* 1.959375*2^29 */ + crypto_int32 g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ + crypto_int32 g3_19 = 19 * g3; + crypto_int32 g4_19 = 19 * g4; + crypto_int32 g5_19 = 19 * g5; + crypto_int32 g6_19 = 19 * g6; + crypto_int32 g7_19 = 19 * g7; + crypto_int32 g8_19 = 19 * g8; + crypto_int32 g9_19 = 19 * g9; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f9_2 = 2 * f9; + crypto_int64 f0g0 = f0 * (crypto_int64) g0; + crypto_int64 f0g1 = f0 * (crypto_int64) g1; + crypto_int64 f0g2 = f0 * (crypto_int64) g2; + crypto_int64 f0g3 = f0 * (crypto_int64) g3; + crypto_int64 f0g4 = f0 * (crypto_int64) g4; + crypto_int64 f0g5 = f0 * (crypto_int64) g5; + crypto_int64 f0g6 = f0 * (crypto_int64) g6; + crypto_int64 f0g7 = f0 * (crypto_int64) g7; + crypto_int64 f0g8 = f0 * (crypto_int64) g8; + crypto_int64 f0g9 = f0 * (crypto_int64) g9; + crypto_int64 f1g0 = f1 * (crypto_int64) g0; + crypto_int64 f1g1_2 = f1_2 * (crypto_int64) g1; + crypto_int64 f1g2 = f1 * (crypto_int64) g2; + crypto_int64 f1g3_2 = f1_2 * (crypto_int64) g3; + crypto_int64 f1g4 = f1 * (crypto_int64) g4; + crypto_int64 f1g5_2 = f1_2 * (crypto_int64) g5; + crypto_int64 f1g6 = f1 * (crypto_int64) g6; + crypto_int64 f1g7_2 = f1_2 * (crypto_int64) g7; + crypto_int64 f1g8 = f1 * (crypto_int64) g8; + crypto_int64 f1g9_38 = f1_2 * (crypto_int64) g9_19; + crypto_int64 f2g0 = f2 * (crypto_int64) g0; + crypto_int64 f2g1 = f2 * (crypto_int64) g1; + crypto_int64 f2g2 = f2 * (crypto_int64) g2; + crypto_int64 f2g3 = f2 * (crypto_int64) g3; + crypto_int64 f2g4 = f2 * (crypto_int64) g4; + crypto_int64 f2g5 = f2 * (crypto_int64) g5; + crypto_int64 f2g6 = f2 * (crypto_int64) g6; + crypto_int64 f2g7 = f2 * (crypto_int64) g7; + crypto_int64 f2g8_19 = f2 * (crypto_int64) g8_19; + crypto_int64 f2g9_19 = f2 * (crypto_int64) g9_19; + crypto_int64 f3g0 = f3 * (crypto_int64) g0; + crypto_int64 f3g1_2 = f3_2 * (crypto_int64) g1; + crypto_int64 f3g2 = f3 * (crypto_int64) g2; + crypto_int64 f3g3_2 = f3_2 * (crypto_int64) g3; + crypto_int64 f3g4 = f3 * (crypto_int64) g4; + crypto_int64 f3g5_2 = f3_2 * (crypto_int64) g5; + crypto_int64 f3g6 = f3 * (crypto_int64) g6; + crypto_int64 f3g7_38 = f3_2 * (crypto_int64) g7_19; + crypto_int64 f3g8_19 = f3 * (crypto_int64) g8_19; + crypto_int64 f3g9_38 = f3_2 * (crypto_int64) g9_19; + crypto_int64 f4g0 = f4 * (crypto_int64) g0; + crypto_int64 f4g1 = f4 * (crypto_int64) g1; + crypto_int64 f4g2 = f4 * (crypto_int64) g2; + crypto_int64 f4g3 = f4 * (crypto_int64) g3; + crypto_int64 f4g4 = f4 * (crypto_int64) g4; + crypto_int64 f4g5 = f4 * (crypto_int64) g5; + crypto_int64 f4g6_19 = f4 * (crypto_int64) g6_19; + crypto_int64 f4g7_19 = f4 * (crypto_int64) g7_19; + crypto_int64 f4g8_19 = f4 * (crypto_int64) g8_19; + crypto_int64 f4g9_19 = f4 * (crypto_int64) g9_19; + crypto_int64 f5g0 = f5 * (crypto_int64) g0; + crypto_int64 f5g1_2 = f5_2 * (crypto_int64) g1; + crypto_int64 f5g2 = f5 * (crypto_int64) g2; + crypto_int64 f5g3_2 = f5_2 * (crypto_int64) g3; + crypto_int64 f5g4 = f5 * (crypto_int64) g4; + crypto_int64 f5g5_38 = f5_2 * (crypto_int64) g5_19; + crypto_int64 f5g6_19 = f5 * (crypto_int64) g6_19; + crypto_int64 f5g7_38 = f5_2 * (crypto_int64) g7_19; + crypto_int64 f5g8_19 = f5 * (crypto_int64) g8_19; + crypto_int64 f5g9_38 = f5_2 * (crypto_int64) g9_19; + crypto_int64 f6g0 = f6 * (crypto_int64) g0; + crypto_int64 f6g1 = f6 * (crypto_int64) g1; + crypto_int64 f6g2 = f6 * (crypto_int64) g2; + crypto_int64 f6g3 = f6 * (crypto_int64) g3; + crypto_int64 f6g4_19 = f6 * (crypto_int64) g4_19; + crypto_int64 f6g5_19 = f6 * (crypto_int64) g5_19; + crypto_int64 f6g6_19 = f6 * (crypto_int64) g6_19; + crypto_int64 f6g7_19 = f6 * (crypto_int64) g7_19; + crypto_int64 f6g8_19 = f6 * (crypto_int64) g8_19; + crypto_int64 f6g9_19 = f6 * (crypto_int64) g9_19; + crypto_int64 f7g0 = f7 * (crypto_int64) g0; + crypto_int64 f7g1_2 = f7_2 * (crypto_int64) g1; + crypto_int64 f7g2 = f7 * (crypto_int64) g2; + crypto_int64 f7g3_38 = f7_2 * (crypto_int64) g3_19; + crypto_int64 f7g4_19 = f7 * (crypto_int64) g4_19; + crypto_int64 f7g5_38 = f7_2 * (crypto_int64) g5_19; + crypto_int64 f7g6_19 = f7 * (crypto_int64) g6_19; + crypto_int64 f7g7_38 = f7_2 * (crypto_int64) g7_19; + crypto_int64 f7g8_19 = f7 * (crypto_int64) g8_19; + crypto_int64 f7g9_38 = f7_2 * (crypto_int64) g9_19; + crypto_int64 f8g0 = f8 * (crypto_int64) g0; + crypto_int64 f8g1 = f8 * (crypto_int64) g1; + crypto_int64 f8g2_19 = f8 * (crypto_int64) g2_19; + crypto_int64 f8g3_19 = f8 * (crypto_int64) g3_19; + crypto_int64 f8g4_19 = f8 * (crypto_int64) g4_19; + crypto_int64 f8g5_19 = f8 * (crypto_int64) g5_19; + crypto_int64 f8g6_19 = f8 * (crypto_int64) g6_19; + crypto_int64 f8g7_19 = f8 * (crypto_int64) g7_19; + crypto_int64 f8g8_19 = f8 * (crypto_int64) g8_19; + crypto_int64 f8g9_19 = f8 * (crypto_int64) g9_19; + crypto_int64 f9g0 = f9 * (crypto_int64) g0; + crypto_int64 f9g1_38 = f9_2 * (crypto_int64) g1_19; + crypto_int64 f9g2_19 = f9 * (crypto_int64) g2_19; + crypto_int64 f9g3_38 = f9_2 * (crypto_int64) g3_19; + crypto_int64 f9g4_19 = f9 * (crypto_int64) g4_19; + crypto_int64 f9g5_38 = f9_2 * (crypto_int64) g5_19; + crypto_int64 f9g6_19 = f9 * (crypto_int64) g6_19; + crypto_int64 f9g7_38 = f9_2 * (crypto_int64) g7_19; + crypto_int64 f9g8_19 = f9 * (crypto_int64) g8_19; + crypto_int64 f9g9_38 = f9_2 * (crypto_int64) g9_19; + crypto_int64 h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; + crypto_int64 h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; + crypto_int64 h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; + crypto_int64 h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; + crypto_int64 h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; + crypto_int64 h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; + crypto_int64 h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; + crypto_int64 h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; + crypto_int64 h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; + crypto_int64 h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 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 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (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 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (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 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (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 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (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 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (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 + (crypto_int64) (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 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + /* |h0| <= 2^25; from now on fits into int32 unchanged */ + /* |h1| <= 1.01*2^24 */ + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + + +/* +return 1 if f is in {1,3,5,...,q-2} +return 0 if f is in {0,2,4,...,q-1} + +Preconditions: + |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +static int fe_isnegative(const fe f) +{ + unsigned char s[32]; + fe_tobytes(s,f); + return s[0] & 1; +} + + +/* +return 1 if f == 0 +return 0 if f != 0 + +Preconditions: + |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +static const unsigned char zero[32] = {0}; + +static int fe_isnonzero(const fe f) +{ + unsigned char s[32]; + fe_tobytes(s,f); + return crypto_verify_32(s,zero); +} + +/* +h = -f + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +*/ + +static void fe_neg(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 h0 = -f0; + crypto_int32 h1 = -f1; + crypto_int32 h2 = -f2; + crypto_int32 h3 = -f3; + crypto_int32 h4 = -f4; + crypto_int32 h5 = -f5; + crypto_int32 h6 = -f6; + crypto_int32 h7 = -f7; + crypto_int32 h8 = -f8; + crypto_int32 h9 = -f9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +static void fe_invert(fe out,const fe z) +{ + fe t0; + fe t1; + fe t2; + fe t3; + int i; + + +/* qhasm: fe z1 */ + +/* qhasm: fe z2 */ + +/* qhasm: fe z8 */ + +/* qhasm: fe z9 */ + +/* qhasm: fe z11 */ + +/* qhasm: fe z22 */ + +/* qhasm: fe z_5_0 */ + +/* qhasm: fe z_10_5 */ + +/* qhasm: fe z_10_0 */ + +/* qhasm: fe z_20_10 */ + +/* qhasm: fe z_20_0 */ + +/* qhasm: fe z_40_20 */ + +/* qhasm: fe z_40_0 */ + +/* qhasm: fe z_50_10 */ + +/* qhasm: fe z_50_0 */ + +/* qhasm: fe z_100_50 */ + +/* qhasm: fe z_100_0 */ + +/* qhasm: fe z_200_100 */ + +/* qhasm: fe z_200_0 */ + +/* qhasm: fe z_250_50 */ + +/* qhasm: fe z_250_0 */ + +/* qhasm: fe z_255_5 */ + +/* qhasm: fe z_255_21 */ + +/* qhasm: enter pow225521 */ + +/* qhasm: z2 = z1^2^1 */ +/* asm 1: fe_sq(>z2=fe#1,<z1=fe#11); for (i = 1;i < 1;++i) fe_sq(>z2=fe#1,>z2=fe#1); */ +/* asm 2: fe_sq(>z2=t0,<z1=z); for (i = 1;i < 1;++i) fe_sq(>z2=t0,>z2=t0); */ +fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z8 = z2^2^2 */ +/* asm 1: fe_sq(>z8=fe#2,<z2=fe#1); for (i = 1;i < 2;++i) fe_sq(>z8=fe#2,>z8=fe#2); */ +/* asm 2: fe_sq(>z8=t1,<z2=t0); for (i = 1;i < 2;++i) fe_sq(>z8=t1,>z8=t1); */ +fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); + +/* qhasm: z9 = z1*z8 */ +/* asm 1: fe_mul(>z9=fe#2,<z1=fe#11,<z8=fe#2); */ +/* asm 2: fe_mul(>z9=t1,<z1=z,<z8=t1); */ +fe_mul(t1,z,t1); + +/* qhasm: z11 = z2*z9 */ +/* asm 1: fe_mul(>z11=fe#1,<z2=fe#1,<z9=fe#2); */ +/* asm 2: fe_mul(>z11=t0,<z2=t0,<z9=t1); */ +fe_mul(t0,t0,t1); + +/* qhasm: z22 = z11^2^1 */ +/* asm 1: fe_sq(>z22=fe#3,<z11=fe#1); for (i = 1;i < 1;++i) fe_sq(>z22=fe#3,>z22=fe#3); */ +/* asm 2: fe_sq(>z22=t2,<z11=t0); for (i = 1;i < 1;++i) fe_sq(>z22=t2,>z22=t2); */ +fe_sq(t2,t0); for (i = 1;i < 1;++i) fe_sq(t2,t2); + +/* qhasm: z_5_0 = z9*z22 */ +/* asm 1: fe_mul(>z_5_0=fe#2,<z9=fe#2,<z22=fe#3); */ +/* asm 2: fe_mul(>z_5_0=t1,<z9=t1,<z22=t2); */ +fe_mul(t1,t1,t2); + +/* qhasm: z_10_5 = z_5_0^2^5 */ +/* asm 1: fe_sq(>z_10_5=fe#3,<z_5_0=fe#2); for (i = 1;i < 5;++i) fe_sq(>z_10_5=fe#3,>z_10_5=fe#3); */ +/* asm 2: fe_sq(>z_10_5=t2,<z_5_0=t1); for (i = 1;i < 5;++i) fe_sq(>z_10_5=t2,>z_10_5=t2); */ +fe_sq(t2,t1); for (i = 1;i < 5;++i) fe_sq(t2,t2); + +/* qhasm: z_10_0 = z_10_5*z_5_0 */ +/* asm 1: fe_mul(>z_10_0=fe#2,<z_10_5=fe#3,<z_5_0=fe#2); */ +/* asm 2: fe_mul(>z_10_0=t1,<z_10_5=t2,<z_5_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_20_10 = z_10_0^2^10 */ +/* asm 1: fe_sq(>z_20_10=fe#3,<z_10_0=fe#2); for (i = 1;i < 10;++i) fe_sq(>z_20_10=fe#3,>z_20_10=fe#3); */ +/* asm 2: fe_sq(>z_20_10=t2,<z_10_0=t1); for (i = 1;i < 10;++i) fe_sq(>z_20_10=t2,>z_20_10=t2); */ +fe_sq(t2,t1); for (i = 1;i < 10;++i) fe_sq(t2,t2); + +/* qhasm: z_20_0 = z_20_10*z_10_0 */ +/* asm 1: fe_mul(>z_20_0=fe#3,<z_20_10=fe#3,<z_10_0=fe#2); */ +/* asm 2: fe_mul(>z_20_0=t2,<z_20_10=t2,<z_10_0=t1); */ +fe_mul(t2,t2,t1); + +/* qhasm: z_40_20 = z_20_0^2^20 */ +/* asm 1: fe_sq(>z_40_20=fe#4,<z_20_0=fe#3); for (i = 1;i < 20;++i) fe_sq(>z_40_20=fe#4,>z_40_20=fe#4); */ +/* asm 2: fe_sq(>z_40_20=t3,<z_20_0=t2); for (i = 1;i < 20;++i) fe_sq(>z_40_20=t3,>z_40_20=t3); */ +fe_sq(t3,t2); for (i = 1;i < 20;++i) fe_sq(t3,t3); + +/* qhasm: z_40_0 = z_40_20*z_20_0 */ +/* asm 1: fe_mul(>z_40_0=fe#3,<z_40_20=fe#4,<z_20_0=fe#3); */ +/* asm 2: fe_mul(>z_40_0=t2,<z_40_20=t3,<z_20_0=t2); */ +fe_mul(t2,t3,t2); + +/* qhasm: z_50_10 = z_40_0^2^10 */ +/* asm 1: fe_sq(>z_50_10=fe#3,<z_40_0=fe#3); for (i = 1;i < 10;++i) fe_sq(>z_50_10=fe#3,>z_50_10=fe#3); */ +/* asm 2: fe_sq(>z_50_10=t2,<z_40_0=t2); for (i = 1;i < 10;++i) fe_sq(>z_50_10=t2,>z_50_10=t2); */ +fe_sq(t2,t2); for (i = 1;i < 10;++i) fe_sq(t2,t2); + +/* qhasm: z_50_0 = z_50_10*z_10_0 */ +/* asm 1: fe_mul(>z_50_0=fe#2,<z_50_10=fe#3,<z_10_0=fe#2); */ +/* asm 2: fe_mul(>z_50_0=t1,<z_50_10=t2,<z_10_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_100_50 = z_50_0^2^50 */ +/* asm 1: fe_sq(>z_100_50=fe#3,<z_50_0=fe#2); for (i = 1;i < 50;++i) fe_sq(>z_100_50=fe#3,>z_100_50=fe#3); */ +/* asm 2: fe_sq(>z_100_50=t2,<z_50_0=t1); for (i = 1;i < 50;++i) fe_sq(>z_100_50=t2,>z_100_50=t2); */ +fe_sq(t2,t1); for (i = 1;i < 50;++i) fe_sq(t2,t2); + +/* qhasm: z_100_0 = z_100_50*z_50_0 */ +/* asm 1: fe_mul(>z_100_0=fe#3,<z_100_50=fe#3,<z_50_0=fe#2); */ +/* asm 2: fe_mul(>z_100_0=t2,<z_100_50=t2,<z_50_0=t1); */ +fe_mul(t2,t2,t1); + +/* qhasm: z_200_100 = z_100_0^2^100 */ +/* asm 1: fe_sq(>z_200_100=fe#4,<z_100_0=fe#3); for (i = 1;i < 100;++i) fe_sq(>z_200_100=fe#4,>z_200_100=fe#4); */ +/* asm 2: fe_sq(>z_200_100=t3,<z_100_0=t2); for (i = 1;i < 100;++i) fe_sq(>z_200_100=t3,>z_200_100=t3); */ +fe_sq(t3,t2); for (i = 1;i < 100;++i) fe_sq(t3,t3); + +/* qhasm: z_200_0 = z_200_100*z_100_0 */ +/* asm 1: fe_mul(>z_200_0=fe#3,<z_200_100=fe#4,<z_100_0=fe#3); */ +/* asm 2: fe_mul(>z_200_0=t2,<z_200_100=t3,<z_100_0=t2); */ +fe_mul(t2,t3,t2); + +/* qhasm: z_250_50 = z_200_0^2^50 */ +/* asm 1: fe_sq(>z_250_50=fe#3,<z_200_0=fe#3); for (i = 1;i < 50;++i) fe_sq(>z_250_50=fe#3,>z_250_50=fe#3); */ +/* asm 2: fe_sq(>z_250_50=t2,<z_200_0=t2); for (i = 1;i < 50;++i) fe_sq(>z_250_50=t2,>z_250_50=t2); */ +fe_sq(t2,t2); for (i = 1;i < 50;++i) fe_sq(t2,t2); + +/* qhasm: z_250_0 = z_250_50*z_50_0 */ +/* asm 1: fe_mul(>z_250_0=fe#2,<z_250_50=fe#3,<z_50_0=fe#2); */ +/* asm 2: fe_mul(>z_250_0=t1,<z_250_50=t2,<z_50_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_255_5 = z_250_0^2^5 */ +/* asm 1: fe_sq(>z_255_5=fe#2,<z_250_0=fe#2); for (i = 1;i < 5;++i) fe_sq(>z_255_5=fe#2,>z_255_5=fe#2); */ +/* asm 2: fe_sq(>z_255_5=t1,<z_250_0=t1); for (i = 1;i < 5;++i) fe_sq(>z_255_5=t1,>z_255_5=t1); */ +fe_sq(t1,t1); for (i = 1;i < 5;++i) fe_sq(t1,t1); + +/* qhasm: z_255_21 = z_255_5*z11 */ +/* asm 1: fe_mul(>z_255_21=fe#12,<z_255_5=fe#2,<z11=fe#1); */ +/* asm 2: fe_mul(>z_255_21=out,<z_255_5=t1,<z11=t0); */ +fe_mul(out,t1,t0); + +/* qhasm: return */ + + return; +} + + +static void fe_pow22523(fe out,const fe z) +{ + fe t0; + fe t1; + fe t2; + int i; + + +/* qhasm: fe z1 */ + +/* qhasm: fe z2 */ + +/* qhasm: fe z8 */ + +/* qhasm: fe z9 */ + +/* qhasm: fe z11 */ + +/* qhasm: fe z22 */ + +/* qhasm: fe z_5_0 */ + +/* qhasm: fe z_10_5 */ + +/* qhasm: fe z_10_0 */ + +/* qhasm: fe z_20_10 */ + +/* qhasm: fe z_20_0 */ + +/* qhasm: fe z_40_20 */ + +/* qhasm: fe z_40_0 */ + +/* qhasm: fe z_50_10 */ + +/* qhasm: fe z_50_0 */ + +/* qhasm: fe z_100_50 */ + +/* qhasm: fe z_100_0 */ + +/* qhasm: fe z_200_100 */ + +/* qhasm: fe z_200_0 */ + +/* qhasm: fe z_250_50 */ + +/* qhasm: fe z_250_0 */ + +/* qhasm: fe z_252_2 */ + +/* qhasm: fe z_252_3 */ + +/* qhasm: enter pow22523 */ + +/* qhasm: z2 = z1^2^1 */ +/* asm 1: fe_sq(>z2=fe#1,<z1=fe#11); for (i = 1;i < 1;++i) fe_sq(>z2=fe#1,>z2=fe#1); */ +/* asm 2: fe_sq(>z2=t0,<z1=z); for (i = 1;i < 1;++i) fe_sq(>z2=t0,>z2=t0); */ +fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z8 = z2^2^2 */ +/* asm 1: fe_sq(>z8=fe#2,<z2=fe#1); for (i = 1;i < 2;++i) fe_sq(>z8=fe#2,>z8=fe#2); */ +/* asm 2: fe_sq(>z8=t1,<z2=t0); for (i = 1;i < 2;++i) fe_sq(>z8=t1,>z8=t1); */ +fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); + +/* qhasm: z9 = z1*z8 */ +/* asm 1: fe_mul(>z9=fe#2,<z1=fe#11,<z8=fe#2); */ +/* asm 2: fe_mul(>z9=t1,<z1=z,<z8=t1); */ +fe_mul(t1,z,t1); + +/* qhasm: z11 = z2*z9 */ +/* asm 1: fe_mul(>z11=fe#1,<z2=fe#1,<z9=fe#2); */ +/* asm 2: fe_mul(>z11=t0,<z2=t0,<z9=t1); */ +fe_mul(t0,t0,t1); + +/* qhasm: z22 = z11^2^1 */ +/* asm 1: fe_sq(>z22=fe#1,<z11=fe#1); for (i = 1;i < 1;++i) fe_sq(>z22=fe#1,>z22=fe#1); */ +/* asm 2: fe_sq(>z22=t0,<z11=t0); for (i = 1;i < 1;++i) fe_sq(>z22=t0,>z22=t0); */ +fe_sq(t0,t0); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z_5_0 = z9*z22 */ +/* asm 1: fe_mul(>z_5_0=fe#1,<z9=fe#2,<z22=fe#1); */ +/* asm 2: fe_mul(>z_5_0=t0,<z9=t1,<z22=t0); */ +fe_mul(t0,t1,t0); + +/* qhasm: z_10_5 = z_5_0^2^5 */ +/* asm 1: fe_sq(>z_10_5=fe#2,<z_5_0=fe#1); for (i = 1;i < 5;++i) fe_sq(>z_10_5=fe#2,>z_10_5=fe#2); */ +/* asm 2: fe_sq(>z_10_5=t1,<z_5_0=t0); for (i = 1;i < 5;++i) fe_sq(>z_10_5=t1,>z_10_5=t1); */ +fe_sq(t1,t0); for (i = 1;i < 5;++i) fe_sq(t1,t1); + +/* qhasm: z_10_0 = z_10_5*z_5_0 */ +/* asm 1: fe_mul(>z_10_0=fe#1,<z_10_5=fe#2,<z_5_0=fe#1); */ +/* asm 2: fe_mul(>z_10_0=t0,<z_10_5=t1,<z_5_0=t0); */ +fe_mul(t0,t1,t0); + +/* qhasm: z_20_10 = z_10_0^2^10 */ +/* asm 1: fe_sq(>z_20_10=fe#2,<z_10_0=fe#1); for (i = 1;i < 10;++i) fe_sq(>z_20_10=fe#2,>z_20_10=fe#2); */ +/* asm 2: fe_sq(>z_20_10=t1,<z_10_0=t0); for (i = 1;i < 10;++i) fe_sq(>z_20_10=t1,>z_20_10=t1); */ +fe_sq(t1,t0); for (i = 1;i < 10;++i) fe_sq(t1,t1); + +/* qhasm: z_20_0 = z_20_10*z_10_0 */ +/* asm 1: fe_mul(>z_20_0=fe#2,<z_20_10=fe#2,<z_10_0=fe#1); */ +/* asm 2: fe_mul(>z_20_0=t1,<z_20_10=t1,<z_10_0=t0); */ +fe_mul(t1,t1,t0); + +/* qhasm: z_40_20 = z_20_0^2^20 */ +/* asm 1: fe_sq(>z_40_20=fe#3,<z_20_0=fe#2); for (i = 1;i < 20;++i) fe_sq(>z_40_20=fe#3,>z_40_20=fe#3); */ +/* asm 2: fe_sq(>z_40_20=t2,<z_20_0=t1); for (i = 1;i < 20;++i) fe_sq(>z_40_20=t2,>z_40_20=t2); */ +fe_sq(t2,t1); for (i = 1;i < 20;++i) fe_sq(t2,t2); + +/* qhasm: z_40_0 = z_40_20*z_20_0 */ +/* asm 1: fe_mul(>z_40_0=fe#2,<z_40_20=fe#3,<z_20_0=fe#2); */ +/* asm 2: fe_mul(>z_40_0=t1,<z_40_20=t2,<z_20_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_50_10 = z_40_0^2^10 */ +/* asm 1: fe_sq(>z_50_10=fe#2,<z_40_0=fe#2); for (i = 1;i < 10;++i) fe_sq(>z_50_10=fe#2,>z_50_10=fe#2); */ +/* asm 2: fe_sq(>z_50_10=t1,<z_40_0=t1); for (i = 1;i < 10;++i) fe_sq(>z_50_10=t1,>z_50_10=t1); */ +fe_sq(t1,t1); for (i = 1;i < 10;++i) fe_sq(t1,t1); + +/* qhasm: z_50_0 = z_50_10*z_10_0 */ +/* asm 1: fe_mul(>z_50_0=fe#1,<z_50_10=fe#2,<z_10_0=fe#1); */ +/* asm 2: fe_mul(>z_50_0=t0,<z_50_10=t1,<z_10_0=t0); */ +fe_mul(t0,t1,t0); + +/* qhasm: z_100_50 = z_50_0^2^50 */ +/* asm 1: fe_sq(>z_100_50=fe#2,<z_50_0=fe#1); for (i = 1;i < 50;++i) fe_sq(>z_100_50=fe#2,>z_100_50=fe#2); */ +/* asm 2: fe_sq(>z_100_50=t1,<z_50_0=t0); for (i = 1;i < 50;++i) fe_sq(>z_100_50=t1,>z_100_50=t1); */ +fe_sq(t1,t0); for (i = 1;i < 50;++i) fe_sq(t1,t1); + +/* qhasm: z_100_0 = z_100_50*z_50_0 */ +/* asm 1: fe_mul(>z_100_0=fe#2,<z_100_50=fe#2,<z_50_0=fe#1); */ +/* asm 2: fe_mul(>z_100_0=t1,<z_100_50=t1,<z_50_0=t0); */ +fe_mul(t1,t1,t0); + +/* qhasm: z_200_100 = z_100_0^2^100 */ +/* asm 1: fe_sq(>z_200_100=fe#3,<z_100_0=fe#2); for (i = 1;i < 100;++i) fe_sq(>z_200_100=fe#3,>z_200_100=fe#3); */ +/* asm 2: fe_sq(>z_200_100=t2,<z_100_0=t1); for (i = 1;i < 100;++i) fe_sq(>z_200_100=t2,>z_200_100=t2); */ +fe_sq(t2,t1); for (i = 1;i < 100;++i) fe_sq(t2,t2); + +/* qhasm: z_200_0 = z_200_100*z_100_0 */ +/* asm 1: fe_mul(>z_200_0=fe#2,<z_200_100=fe#3,<z_100_0=fe#2); */ +/* asm 2: fe_mul(>z_200_0=t1,<z_200_100=t2,<z_100_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_250_50 = z_200_0^2^50 */ +/* asm 1: fe_sq(>z_250_50=fe#2,<z_200_0=fe#2); for (i = 1;i < 50;++i) fe_sq(>z_250_50=fe#2,>z_250_50=fe#2); */ +/* asm 2: fe_sq(>z_250_50=t1,<z_200_0=t1); for (i = 1;i < 50;++i) fe_sq(>z_250_50=t1,>z_250_50=t1); */ +fe_sq(t1,t1); for (i = 1;i < 50;++i) fe_sq(t1,t1); + +/* qhasm: z_250_0 = z_250_50*z_50_0 */ +/* asm 1: fe_mul(>z_250_0=fe#1,<z_250_50=fe#2,<z_50_0=fe#1); */ +/* asm 2: fe_mul(>z_250_0=t0,<z_250_50=t1,<z_50_0=t0); */ +fe_mul(t0,t1,t0); + +/* qhasm: z_252_2 = z_250_0^2^2 */ +/* asm 1: fe_sq(>z_252_2=fe#1,<z_250_0=fe#1); for (i = 1;i < 2;++i) fe_sq(>z_252_2=fe#1,>z_252_2=fe#1); */ +/* asm 2: fe_sq(>z_252_2=t0,<z_250_0=t0); for (i = 1;i < 2;++i) fe_sq(>z_252_2=t0,>z_252_2=t0); */ +fe_sq(t0,t0); for (i = 1;i < 2;++i) fe_sq(t0,t0); + +/* qhasm: z_252_3 = z_252_2*z1 */ +/* asm 1: fe_mul(>z_252_3=fe#12,<z_252_2=fe#1,<z1=fe#11); */ +/* asm 2: fe_mul(>z_252_3=out,<z_252_2=t0,<z1=z); */ +fe_mul(out,t0,z); + +/* qhasm: return */ + + + return; +} + + +/* +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_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_p3; + +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; + +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 +} ; + +static const fe d2 = { +-21827239,-5839606,-30745221,13898782,229458,15978800,-12551817,-6495438,29715968,9444199 +} ; + +static 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 }, + }, +} ; + + +/* base[i][j] = (j+1)*256^i*B */ +static ge_precomp base[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 }, + }, +}, +{ + { + { -13657040,-13155431,-31283750,11777098,21447386,6519384,-2378284,-1627556,10092783,-4764171 }, + { 27939166,14210322,4677035,16277044,-22964462,-12398139,-32508754,12005538,-17810127,12803510 }, + { 17228999,-15661624,-1233527,300140,-1224870,-11714777,30364213,-9038194,18016357,4397660 }, + }, + { + { -10958843,-7690207,4776341,-14954238,27850028,-15602212,-26619106,14544525,-17477504,982639 }, + { 29253598,15796703,-2863982,-9908884,10057023,3163536,7332899,-4120128,-21047696,9934963 }, + { 5793303,16271923,-24131614,-10116404,29188560,1206517,-14747930,4559895,-30123922,-10897950 }, + }, + { + { -27643952,-11493006,16282657,-11036493,28414021,-15012264,24191034,4541697,-13338309,5500568 }, + { 12650548,-1497113,9052871,11355358,-17680037,-8400164,-17430592,12264343,10874051,13524335 }, + { 25556948,-3045990,714651,2510400,23394682,-10415330,33119038,5080568,-22528059,5376628 }, + }, + { + { -26088264,-4011052,-17013699,-3537628,-6726793,1920897,-22321305,-9447443,4535768,1569007 }, + { -2255422,14606630,-21692440,-8039818,28430649,8775819,-30494562,3044290,31848280,12543772 }, + { -22028579,2943893,-31857513,6777306,13784462,-4292203,-27377195,-2062731,7718482,14474653 }, + }, + { + { 2385315,2454213,-22631320,46603,-4437935,-15680415,656965,-7236665,24316168,-5253567 }, + { 13741529,10911568,-33233417,-8603737,-20177830,-1033297,33040651,-13424532,-20729456,8321686 }, + { 21060490,-2212744,15712757,-4336099,1639040,10656336,23845965,-11874838,-9984458,608372 }, + }, + { + { -13672732,-15087586,-10889693,-7557059,-6036909,11305547,1123968,-6780577,27229399,23887 }, + { -23244140,-294205,-11744728,14712571,-29465699,-2029617,12797024,-6440308,-1633405,16678954 }, + { -29500620,4770662,-16054387,14001338,7830047,9564805,-1508144,-4795045,-17169265,4904953 }, + }, + { + { 24059557,14617003,19037157,-15039908,19766093,-14906429,5169211,16191880,2128236,-4326833 }, + { -16981152,4124966,-8540610,-10653797,30336522,-14105247,-29806336,916033,-6882542,-2986532 }, + { -22630907,12419372,-7134229,-7473371,-16478904,16739175,285431,2763829,15736322,4143876 }, + }, + { + { 2379352,11839345,-4110402,-5988665,11274298,794957,212801,-14594663,23527084,-16458268 }, + { 33431127,-11130478,-17838966,-15626900,8909499,8376530,-32625340,4087881,-15188911,-14416214 }, + { 1767683,7197987,-13205226,-2022635,-13091350,448826,5799055,4357868,-4774191,-16323038 }, + }, +}, +{ + { + { 6721966,13833823,-23523388,-1551314,26354293,-11863321,23365147,-3949732,7390890,2759800 }, + { 4409041,2052381,23373853,10530217,7676779,-12885954,21302353,-4264057,1244380,-12919645 }, + { -4421239,7169619,4982368,-2957590,30256825,-2777540,14086413,9208236,15886429,16489664 }, + }, + { + { 1996075,10375649,14346367,13311202,-6874135,-16438411,-13693198,398369,-30606455,-712933 }, + { -25307465,9795880,-2777414,14878809,-33531835,14780363,13348553,12076947,-30836462,5113182 }, + { -17770784,11797796,31950843,13929123,-25888302,12288344,-30341101,-7336386,13847711,5387222 }, + }, + { + { -18582163,-3416217,17824843,-2340966,22744343,-10442611,8763061,3617786,-19600662,10370991 }, + { 20246567,-14369378,22358229,-543712,18507283,-10413996,14554437,-8746092,32232924,16763880 }, + { 9648505,10094563,26416693,14745928,-30374318,-6472621,11094161,15689506,3140038,-16510092 }, + }, + { + { -16160072,5472695,31895588,4744994,8823515,10365685,-27224800,9448613,-28774454,366295 }, + { 19153450,11523972,-11096490,-6503142,-24647631,5420647,28344573,8041113,719605,11671788 }, + { 8678025,2694440,-6808014,2517372,4964326,11152271,-15432916,-15266516,27000813,-10195553 }, + }, + { + { -15157904,7134312,8639287,-2814877,-7235688,10421742,564065,5336097,6750977,-14521026 }, + { 11836410,-3979488,26297894,16080799,23455045,15735944,1695823,-8819122,8169720,16220347 }, + { -18115838,8653647,17578566,-6092619,-8025777,-16012763,-11144307,-2627664,-5990708,-14166033 }, + }, + { + { -23308498,-10968312,15213228,-10081214,-30853605,-11050004,27884329,2847284,2655861,1738395 }, + { -27537433,-14253021,-25336301,-8002780,-9370762,8129821,21651608,-3239336,-19087449,-11005278 }, + { 1533110,3437855,23735889,459276,29970501,11335377,26030092,5821408,10478196,8544890 }, + }, + { + { 32173121,-16129311,24896207,3921497,22579056,-3410854,19270449,12217473,17789017,-3395995 }, + { -30552961,-2228401,-15578829,-10147201,13243889,517024,15479401,-3853233,30460520,1052596 }, + { -11614875,13323618,32618793,8175907,-15230173,12596687,27491595,-4612359,3179268,-9478891 }, + }, + { + { 31947069,-14366651,-4640583,-15339921,-15125977,-6039709,-14756777,-16411740,19072640,-9511060 }, + { 11685058,11822410,3158003,-13952594,33402194,-4165066,5977896,-5215017,473099,5040608 }, + { -20290863,8198642,-27410132,11602123,1290375,-2799760,28326862,1721092,-19558642,-3131606 }, + }, +}, +{ + { + { 7881532,10687937,7578723,7738378,-18951012,-2553952,21820786,8076149,-27868496,11538389 }, + { -19935666,3899861,18283497,-6801568,-15728660,-11249211,8754525,7446702,-5676054,5797016 }, + { -11295600,-3793569,-15782110,-7964573,12708869,-8456199,2014099,-9050574,-2369172,-5877341 }, + }, + { + { -22472376,-11568741,-27682020,1146375,18956691,16640559,1192730,-3714199,15123619,10811505 }, + { 14352098,-3419715,-18942044,10822655,32750596,4699007,-70363,15776356,-28886779,-11974553 }, + { -28241164,-8072475,-4978962,-5315317,29416931,1847569,-20654173,-16484855,4714547,-9600655 }, + }, + { + { 15200332,8368572,19679101,15970074,-31872674,1959451,24611599,-4543832,-11745876,12340220 }, + { 12876937,-10480056,33134381,6590940,-6307776,14872440,9613953,8241152,15370987,9608631 }, + { -4143277,-12014408,8446281,-391603,4407738,13629032,-7724868,15866074,-28210621,-8814099 }, + }, + { + { 26660628,-15677655,8393734,358047,-7401291,992988,-23904233,858697,20571223,8420556 }, + { 14620715,13067227,-15447274,8264467,14106269,15080814,33531827,12516406,-21574435,-12476749 }, + { 236881,10476226,57258,-14677024,6472998,2466984,17258519,7256740,8791136,15069930 }, + }, + { + { 1276410,-9371918,22949635,-16322807,-23493039,-5702186,14711875,4874229,-30663140,-2331391 }, + { 5855666,4990204,-13711848,7294284,-7804282,1924647,-1423175,-7912378,-33069337,9234253 }, + { 20590503,-9018988,31529744,-7352666,-2706834,10650548,31559055,-11609587,18979186,13396066 }, + }, + { + { 24474287,4968103,22267082,4407354,24063882,-8325180,-18816887,13594782,33514650,7021958 }, + { -11566906,-6565505,-21365085,15928892,-26158305,4315421,-25948728,-3916677,-21480480,12868082 }, + { -28635013,13504661,19988037,-2132761,21078225,6443208,-21446107,2244500,-12455797,-8089383 }, + }, + { + { -30595528,13793479,-5852820,319136,-25723172,-6263899,33086546,8957937,-15233648,5540521 }, + { -11630176,-11503902,-8119500,-7643073,2620056,1022908,-23710744,-1568984,-16128528,-14962807 }, + { 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*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 = p +*/ + +static void ge_p3_to_p2(ge_p2 *r,const ge_p3 *p) +{ + fe_copy(r->X,p->X); + fe_copy(r->Y,p->Y); + fe_copy(r->Z,p->Z); +} + + +/* +r = 2 * p +*/ + +static void ge_p2_dbl(ge_p1p1 *r,const ge_p2 *p) +{ + fe t0; +/* qhasm: enter ge_p2_dbl */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe A */ + +/* qhasm: fe AA */ + +/* qhasm: fe XX */ + +/* qhasm: fe YY */ + +/* qhasm: fe B */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* 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); + +/* qhasm: return */ +} + + +/* +r = 2 * p +*/ + +static void ge_p3_dbl(ge_p1p1 *r,const ge_p3 *p) +{ + ge_p2 q; + ge_p3_to_p2(&q,p); + ge_p2_dbl(r,&q); +} + + +/* +r = p +*/ + +static void ge_p3_to_cached(ge_cached *r,const ge_p3 *p) +{ + 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 +*/ + +static void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) +{ + fe t0; +/* qhasm: enter ge_add */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe Z2 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ZZ */ + +/* qhasm: fe YpX2 */ + +/* qhasm: fe YmX2 */ + +/* qhasm: fe T2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* 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); + +/* qhasm: return */ +} + + +/* +r = p - q +*/ + +static void ge_sub(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) +{ + fe t0; +/* qhasm: enter ge_sub */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe Z2 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ZZ */ + +/* qhasm: fe YpX2 */ + +/* qhasm: fe YmX2 */ + +/* qhasm: fe T2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* 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); + +/* qhasm: return */ +} + + +/* +r = p + q +*/ + +static void ge_madd(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) +{ + fe t0; +/* qhasm: enter ge_madd */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ypx2 */ + +/* qhasm: fe ymx2 */ + +/* qhasm: fe xy2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* 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 = 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_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); + +/* qhasm: return */ +} + + +/* +r = p - q +*/ + +static void ge_msub(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) +{ + fe t0; +/* qhasm: enter ge_msub */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ypx2 */ + +/* qhasm: fe ymx2 */ + +/* qhasm: fe xy2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* 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); + +/* qhasm: return */ +} + + +static void ge_p3_tobytes(unsigned char *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; +} + +static void ge_tobytes(unsigned char *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; +} + +static int ge_frombytes_negate_vartime(ge_p3 *h,const unsigned char *s) +{ + 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; +} + + +static void slide(signed char *r,const unsigned char *a) +{ + int i; + int b; + int k; + + for (i = 0;i < 256;++i) + r[i] = 1 & (a[i >> 3] >> (i & 7)); + + for (i = 0;i < 256;++i) + if (r[i]) { + for (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 (k = i + b;k < 256;++k) { + if (!r[k]) { + r[k] = 1; + break; + } + r[k] = 0; + } + } else + break; + } + } + } + +} + + +/* +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. +*/ + +static void ge_double_scalarmult_vartime(ge_p2 *r,const unsigned char *a,const ge_p3 *A,const unsigned char *b) +{ + signed char aslide[256]; + signed char bslide[256]; + ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */ + ge_p1p1 t; + ge_p3 u; + ge_p3 A2; + 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]/2]); + } else if (aslide[i] < 0) { + ge_p1p1_to_p3(&u,&t); + ge_sub(&t,&u,&Ai[(-aslide[i])/2]); + } + + if (bslide[i] > 0) { + ge_p1p1_to_p3(&u,&t); + ge_madd(&t,&u,&Bi[bslide[i]/2]); + } else if (bslide[i] < 0) { + ge_p1p1_to_p3(&u,&t); + ge_msub(&t,&u,&Bi[(-bslide[i])/2]); + } + + ge_p1p1_to_p2(r,&t); + } +} + +static unsigned char equal(signed char b,signed char c) +{ + unsigned char ub = b; + unsigned char uc = c; + unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ + crypto_uint32 y = x; /* 0: yes; 1..255: no */ + y -= 1; /* 4294967295: yes; 0..254: no */ + y >>= 31; /* 1: yes; 0: no */ + return y; +} + +static unsigned char negative(signed char b) +{ + unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ + x >>= 63; /* 1: yes; 0: no */ + return x; +} + +static void cmov(ge_precomp *t,ge_precomp *u,unsigned char b) +{ + fe_cmov(t->yplusx,u->yplusx,b); + fe_cmov(t->yminusx,u->yminusx,b); + fe_cmov(t->xy2d,u->xy2d,b); +} + + + +static void select(ge_precomp *t,int pos,signed char b) +{ + ge_precomp minust; + unsigned char bnegative = negative(b); + unsigned char babs = b - (((-bnegative) & b) << 1); + + ge_precomp_0(t); + cmov(t,&base[pos][0],equal(babs,1)); + cmov(t,&base[pos][1],equal(babs,2)); + cmov(t,&base[pos][2],equal(babs,3)); + cmov(t,&base[pos][3],equal(babs,4)); + cmov(t,&base[pos][4],equal(babs,5)); + cmov(t,&base[pos][5],equal(babs,6)); + cmov(t,&base[pos][6],equal(babs,7)); + cmov(t,&base[pos][7],equal(babs,8)); + fe_copy(minust.yplusx,t->yminusx); + fe_copy(minust.yminusx,t->yplusx); + fe_neg(minust.xy2d,t->xy2d); + cmov(t,&minust,bnegative); +} + +/* +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 +*/ + +static void ge_scalarmult_base(ge_p3 *h,const unsigned char *a) +{ + signed char e[64]; + signed char carry; + ge_p1p1 r; + ge_p2 s; + 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,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,i / 2,e[i]); + ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); + } +} + +/* +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. +*/ + +static void sc_reduce(unsigned char *s) +{ + crypto_int64 s0 = 2097151 & load_3(s); + crypto_int64 s1 = 2097151 & (load_4(s + 2) >> 5); + crypto_int64 s2 = 2097151 & (load_3(s + 5) >> 2); + crypto_int64 s3 = 2097151 & (load_4(s + 7) >> 7); + crypto_int64 s4 = 2097151 & (load_4(s + 10) >> 4); + crypto_int64 s5 = 2097151 & (load_3(s + 13) >> 1); + crypto_int64 s6 = 2097151 & (load_4(s + 15) >> 6); + crypto_int64 s7 = 2097151 & (load_3(s + 18) >> 3); + crypto_int64 s8 = 2097151 & load_3(s + 21); + crypto_int64 s9 = 2097151 & (load_4(s + 23) >> 5); + crypto_int64 s10 = 2097151 & (load_3(s + 26) >> 2); + crypto_int64 s11 = 2097151 & (load_4(s + 28) >> 7); + crypto_int64 s12 = 2097151 & (load_4(s + 31) >> 4); + crypto_int64 s13 = 2097151 & (load_3(s + 34) >> 1); + crypto_int64 s14 = 2097151 & (load_4(s + 36) >> 6); + crypto_int64 s15 = 2097151 & (load_3(s + 39) >> 3); + crypto_int64 s16 = 2097151 & load_3(s + 42); + crypto_int64 s17 = 2097151 & (load_4(s + 44) >> 5); + crypto_int64 s18 = 2097151 & (load_3(s + 47) >> 2); + crypto_int64 s19 = 2097151 & (load_4(s + 49) >> 7); + crypto_int64 s20 = 2097151 & (load_4(s + 52) >> 4); + crypto_int64 s21 = 2097151 & (load_3(s + 55) >> 1); + crypto_int64 s22 = 2097151 & (load_4(s + 57) >> 6); + crypto_int64 s23 = (load_4(s + 60) >> 3); + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + crypto_int64 carry10; + crypto_int64 carry11; + crypto_int64 carry12; + crypto_int64 carry13; + crypto_int64 carry14; + crypto_int64 carry15; + crypto_int64 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; +} + +/* +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. +*/ + +static void sc_muladd(unsigned char *s,const unsigned char *a,const unsigned char *b,const unsigned char *c) +{ + crypto_int64 a0 = 2097151 & load_3(a); + crypto_int64 a1 = 2097151 & (load_4(a + 2) >> 5); + crypto_int64 a2 = 2097151 & (load_3(a + 5) >> 2); + crypto_int64 a3 = 2097151 & (load_4(a + 7) >> 7); + crypto_int64 a4 = 2097151 & (load_4(a + 10) >> 4); + crypto_int64 a5 = 2097151 & (load_3(a + 13) >> 1); + crypto_int64 a6 = 2097151 & (load_4(a + 15) >> 6); + crypto_int64 a7 = 2097151 & (load_3(a + 18) >> 3); + crypto_int64 a8 = 2097151 & load_3(a + 21); + crypto_int64 a9 = 2097151 & (load_4(a + 23) >> 5); + crypto_int64 a10 = 2097151 & (load_3(a + 26) >> 2); + crypto_int64 a11 = (load_4(a + 28) >> 7); + crypto_int64 b0 = 2097151 & load_3(b); + crypto_int64 b1 = 2097151 & (load_4(b + 2) >> 5); + crypto_int64 b2 = 2097151 & (load_3(b + 5) >> 2); + crypto_int64 b3 = 2097151 & (load_4(b + 7) >> 7); + crypto_int64 b4 = 2097151 & (load_4(b + 10) >> 4); + crypto_int64 b5 = 2097151 & (load_3(b + 13) >> 1); + crypto_int64 b6 = 2097151 & (load_4(b + 15) >> 6); + crypto_int64 b7 = 2097151 & (load_3(b + 18) >> 3); + crypto_int64 b8 = 2097151 & load_3(b + 21); + crypto_int64 b9 = 2097151 & (load_4(b + 23) >> 5); + crypto_int64 b10 = 2097151 & (load_3(b + 26) >> 2); + crypto_int64 b11 = (load_4(b + 28) >> 7); + crypto_int64 c0 = 2097151 & load_3(c); + crypto_int64 c1 = 2097151 & (load_4(c + 2) >> 5); + crypto_int64 c2 = 2097151 & (load_3(c + 5) >> 2); + crypto_int64 c3 = 2097151 & (load_4(c + 7) >> 7); + crypto_int64 c4 = 2097151 & (load_4(c + 10) >> 4); + crypto_int64 c5 = 2097151 & (load_3(c + 13) >> 1); + crypto_int64 c6 = 2097151 & (load_4(c + 15) >> 6); + crypto_int64 c7 = 2097151 & (load_3(c + 18) >> 3); + crypto_int64 c8 = 2097151 & load_3(c + 21); + crypto_int64 c9 = 2097151 & (load_4(c + 23) >> 5); + crypto_int64 c10 = 2097151 & (load_3(c + 26) >> 2); + crypto_int64 c11 = (load_4(c + 28) >> 7); + crypto_int64 s0; + crypto_int64 s1; + crypto_int64 s2; + crypto_int64 s3; + crypto_int64 s4; + crypto_int64 s5; + crypto_int64 s6; + crypto_int64 s7; + crypto_int64 s8; + crypto_int64 s9; + crypto_int64 s10; + crypto_int64 s11; + crypto_int64 s12; + crypto_int64 s13; + crypto_int64 s14; + crypto_int64 s15; + crypto_int64 s16; + crypto_int64 s17; + crypto_int64 s18; + crypto_int64 s19; + crypto_int64 s20; + crypto_int64 s21; + crypto_int64 s22; + crypto_int64 s23; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + crypto_int64 carry10; + crypto_int64 carry11; + crypto_int64 carry12; + crypto_int64 carry13; + crypto_int64 carry14; + crypto_int64 carry15; + crypto_int64 carry16; + crypto_int64 carry17; + crypto_int64 carry18; + crypto_int64 carry19; + crypto_int64 carry20; + crypto_int64 carry21; + crypto_int64 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; +} + +/* +int crypto_sign_keypair(unsigned char *pk,unsigned char *sk) +{ + unsigned char h[64]; + ge_p3 A; + int i; + + randombytes(sk,32); + crypto_hash_sha512(h,sk,32); + h[0] &= 248; + h[31] &= 63; + h[31] |= 64; + + ge_scalarmult_base(&A,h); + ge_p3_tobytes(pk,&A); + + for (i = 0;i < 32;++i) sk[32 + i] = pk[i]; + return 0; +} +*/ + +int crypto_sign_pk_ref10(unsigned char *pk,unsigned char *sk) +{ + unsigned char h[64]; + ge_p3 A; + int i; + + crypto_hash_sha512(h,sk,32); + h[0] &= 248; + h[31] &= 63; + h[31] |= 64; + + ge_scalarmult_base(&A,h); + ge_p3_tobytes(pk,&A); + + for (i = 0;i < 32;++i) sk[32 + i] = pk[i]; + return 0; +} + +int crypto_sign_ref10( + unsigned char *sm,unsigned long long *smlen, + const unsigned char *m,unsigned long long mlen, + const unsigned char *sk +) +{ + unsigned char az[64]; + unsigned char r[64]; + unsigned char hram[64]; + ge_p3 R; + unsigned long long i; + + crypto_hash_sha512(az,sk,32); + az[0] &= 248; + az[31] &= 63; + az[31] |= 64; + + *smlen = mlen + 64; + for (i = 0;i < mlen;++i) sm[64 + i] = m[i]; + for (i = 0;i < 32;++i) sm[32 + i] = az[32 + i]; + crypto_hash_sha512(r,sm + 32,mlen + 32); + for (i = 0;i < 32;++i) sm[32 + i] = sk[32 + i]; + + sc_reduce(r); + ge_scalarmult_base(&R,r); + ge_p3_tobytes(sm,&R); + + crypto_hash_sha512(hram,sm,mlen + 64); + sc_reduce(hram); + sc_muladd(sm + 32,hram,az,r); + + return 0; +} + +int crypto_sign_open_ref10( + unsigned char *m,unsigned long long *mlen, + const unsigned char *sm,unsigned long long smlen, + const unsigned char *pk +) +{ + unsigned char h[64]; + unsigned char checkr[32]; + ge_p3 A; + ge_p2 R; + unsigned long long i; + + *mlen = -1; + if (smlen < 64) return -1; + if (sm[63] & 224) return -1; + if (ge_frombytes_negate_vartime(&A,pk) != 0) return -1; + + for (i = 0;i < smlen;++i) m[i] = sm[i]; + for (i = 0;i < 32;++i) m[32 + i] = pk[i]; + crypto_hash_sha512(h,m,smlen); + sc_reduce(h); + + ge_double_scalarmult_vartime(&R,h,&A,sm + 32); + ge_tobytes(checkr,&R); + if (crypto_verify_32(checkr,sm) != 0) { + for (i = 0;i < smlen;++i) m[i] = 0; + return -1; + } + + for (i = 0;i < smlen - 64;++i) m[i] = sm[64 + i]; + for (i = smlen - 64;i < smlen;++i) m[i] = 0; + *mlen = smlen - 64; + return 0; +} + diff --git a/src/ext/ed25519/donna/fuzz/ed25519-ref10.h b/src/ext/ed25519/donna/fuzz/ed25519-ref10.h new file mode 100644 index 0000000..c8a0f69 --- /dev/null +++ b/src/ext/ed25519/donna/fuzz/ed25519-ref10.h @@ -0,0 +1,9 @@ +#ifndef ED25519_REF10_H +#define ED25519_REF10_H + +int crypto_sign_pk_ref10(unsigned char *pk,unsigned char *sk); +int crypto_sign_ref10(unsigned char *sm,unsigned long long *smlen,const unsigned char *m,unsigned long long mlen,const unsigned char *sk); +int crypto_sign_open_ref10(unsigned char *m,unsigned long long *mlen,const unsigned char *sm,unsigned long long smlen,const unsigned char *pk); + +#endif /* ED25519_REF10_H */ + diff --git a/src/ext/ed25519/donna/fuzz/fuzz-curve25519.c b/src/ext/ed25519/donna/fuzz/fuzz-curve25519.c new file mode 100644 index 0000000..4301701 --- /dev/null +++ b/src/ext/ed25519/donna/fuzz/fuzz-curve25519.c @@ -0,0 +1,172 @@ +#if defined(_WIN32) + #include <windows.h> + #include <wincrypt.h> + typedef unsigned int uint32_t; + typedef unsigned __int64 uint64_t; +#else + #include <stdint.h> +#endif + +#include <string.h> +#include <stdio.h> + +#include "ed25519-donna.h" +#include "curve25519-ref10.h" + +static void +print_diff(const char *desc, const unsigned char *a, const unsigned char *b, size_t len) { + size_t p = 0; + unsigned char diff; + printf("%s diff:\n", desc); + while (len--) { + diff = *a++ ^ *b++; + if (!diff) + printf("____,"); + else + printf("0x%02x,", diff); + if ((++p & 15) == 0) + printf("\n"); + } + printf("\n\n"); +} + +static void +print_bytes(const char *desc, const unsigned char *bytes, size_t len) { + size_t p = 0; + printf("%s:\n", desc); + while (len--) { + printf("0x%02x,", *bytes++); + if ((++p & 15) == 0) + printf("\n"); + } + printf("\n\n"); +} + + +/* chacha20/12 prng */ +void +prng(unsigned char *out, size_t bytes) { + static uint32_t state[16]; + static int init = 0; + uint32_t x[16], t; + size_t i; + + if (!init) { + #if defined(_WIN32) + HCRYPTPROV csp; + if (!CryptAcquireContext(&csp, 0, 0, PROV_RSA_FULL, CRYPT_VERIFYCONTEXT)) { + printf("CryptAcquireContext failed\n"); + exit(1); + } + if (!CryptGenRandom(csp, (DWORD)sizeof(state), (BYTE*)state)) { + printf("CryptGenRandom failed\n"); + exit(1); + } + CryptReleaseContext(csp, 0); + #else + FILE *f = NULL; + f = fopen("/dev/urandom", "rb"); + if (!f) { + printf("failed to open /dev/urandom\n"); + exit(1); + } + if (fread(state, sizeof(state), 1, f) != 1) { + printf("read error on /dev/urandom\n"); + exit(1); + } + #endif + init = 1; + } + + while (bytes) { + for (i = 0; i < 16; i++) x[i] = state[i]; + + #define rotl32(x,k) ((x << k) | (x >> (32 - k))) + #define quarter(a,b,c,d) \ + x[a] += x[b]; t = x[d]^x[a]; x[d] = rotl32(t,16); \ + x[c] += x[d]; t = x[b]^x[c]; x[b] = rotl32(t,12); \ + x[a] += x[b]; t = x[d]^x[a]; x[d] = rotl32(t, 8); \ + x[c] += x[d]; t = x[b]^x[c]; x[b] = rotl32(t, 7); + + for (i = 0; i < 12; i += 2) { + quarter( 0, 4, 8,12) + quarter( 1, 5, 9,13) + quarter( 2, 6,10,14) + quarter( 3, 7,11,15) + quarter( 0, 5,10,15) + quarter( 1, 6,11,12) + quarter( 2, 7, 8,13) + quarter( 3, 4, 9,14) + }; + + if (bytes <= 64) { + memcpy(out, x, bytes); + bytes = 0; + } else { + memcpy(out, x, 64); + bytes -= 64; + out += 64; + } + + /* don't need a nonce, so last 4 words are the counter. 2^136 bytes can be generated */ + if (!++state[12]) if (!++state[13]) if (!++state[14]) ++state[15]; + } +} + + + +int main() { + const size_t skmax = 1024; + static unsigned char sk[1024][32]; + unsigned char pk[3][32]; + unsigned char *skp; + size_t ski, pki, i; + uint64_t ctr; + + printf("fuzzing: "); + printf(" ref10"); + printf(" curved25519"); +#if defined(ED25519_SSE2) + printf(" curved25519-sse2"); +#endif + printf("\n\n"); + + for (ctr = 0, ski = skmax;;ctr++) { + if (ski == skmax) { + prng((unsigned char *)sk, sizeof(sk)); + ski = 0; + } + skp = sk[ski++]; + + pki = 0; + crypto_scalarmult_base_ref10(pk[pki++], skp); + curved25519_scalarmult_basepoint(pk[pki++], skp); + #if defined(ED25519_SSE2) + curved25519_scalarmult_basepoint_sse2(pk[pki++], skp); + #endif + + for (i = 1; i < pki; i++) { + if (memcmp(pk[0], pk[i], 32) != 0) { + printf("\n\n"); + print_bytes("sk", skp, 32); + print_bytes("ref10", pk[0], 32); + print_diff("curved25519", pk[0], pk[1], 32); + #if defined(ED25519_SSE2) + print_diff("curved25519-sse2", pk[0], pk[2], 32); + #endif + exit(1); + } + } + + if (ctr && (ctr % 0x1000 == 0)) { + printf("."); + if ((ctr % 0x20000) == 0) { + printf(" ["); + for (i = 0; i < 8; i++) + printf("%02x", (unsigned char)(ctr >> ((7 - i) * 8))); + printf("]\n"); + } + } + } +} + diff --git a/src/ext/ed25519/donna/fuzz/fuzz-ed25519.c b/src/ext/ed25519/donna/fuzz/fuzz-ed25519.c new file mode 100644 index 0000000..b242e8e --- /dev/null +++ b/src/ext/ed25519/donna/fuzz/fuzz-ed25519.c @@ -0,0 +1,219 @@ +#if defined(_WIN32) + #include <windows.h> + #include <wincrypt.h> + typedef unsigned int uint32_t; +#else + #include <stdint.h> +#endif + +#include <string.h> +#include <stdio.h> + +#include "ed25519-donna.h" +#include "ed25519-ref10.h" + +static void +print_diff(const char *desc, const unsigned char *a, const unsigned char *b, size_t len) { + size_t p = 0; + unsigned char diff; + printf("%s diff:\n", desc); + while (len--) { + diff = *a++ ^ *b++; + if (!diff) + printf("____,"); + else + printf("0x%02x,", diff); + if ((++p & 15) == 0) + printf("\n"); + } + printf("\n"); +} + +static void +print_bytes(const char *desc, const unsigned char *bytes, size_t len) { + size_t p = 0; + printf("%s:\n", desc); + while (len--) { + printf("0x%02x,", *bytes++); + if ((++p & 15) == 0) + printf("\n"); + } + printf("\n"); +} + + +/* chacha20/12 prng */ +void +prng(unsigned char *out, size_t bytes) { + static uint32_t state[16]; + static int init = 0; + uint32_t x[16], t; + size_t i; + + if (!init) { + #if defined(_WIN32) + HCRYPTPROV csp = NULL; + if (!CryptAcquireContext(&csp, 0, 0, PROV_RSA_FULL, CRYPT_VERIFYCONTEXT)) { + printf("CryptAcquireContext failed\n"); + exit(1); + } + if (!CryptGenRandom(csp, (DWORD)sizeof(state), (BYTE*)state)) { + printf("CryptGenRandom failed\n"); + exit(1); + } + CryptReleaseContext(csp, 0); + #else + FILE *f = NULL; + f = fopen("/dev/urandom", "rb"); + if (!f) { + printf("failed to open /dev/urandom\n"); + exit(1); + } + if (fread(state, sizeof(state), 1, f) != 1) { + printf("read error on /dev/urandom\n"); + exit(1); + } + #endif + init = 1; + } + + while (bytes) { + for (i = 0; i < 16; i++) x[i] = state[i]; + + #define rotl32(x,k) ((x << k) | (x >> (32 - k))) + #define quarter(a,b,c,d) \ + x[a] += x[b]; t = x[d]^x[a]; x[d] = rotl32(t,16); \ + x[c] += x[d]; t = x[b]^x[c]; x[b] = rotl32(t,12); \ + x[a] += x[b]; t = x[d]^x[a]; x[d] = rotl32(t, 8); \ + x[c] += x[d]; t = x[b]^x[c]; x[b] = rotl32(t, 7); + + for (i = 0; i < 12; i += 2) { + quarter( 0, 4, 8,12) + quarter( 1, 5, 9,13) + quarter( 2, 6,10,14) + quarter( 3, 7,11,15) + quarter( 0, 5,10,15) + quarter( 1, 6,11,12) + quarter( 2, 7, 8,13) + quarter( 3, 4, 9,14) + }; + + if (bytes <= 64) { + memcpy(out, x, bytes); + bytes = 0; + } else { + memcpy(out, x, 64); + bytes -= 64; + out += 64; + } + + /* don't need a nonce, so last 4 words are the counter. 2^136 bytes can be generated */ + if (!++state[12]) if (!++state[13]) if (!++state[14]) ++state[15]; + } +} + +typedef struct random_data_t { + unsigned char sk[32]; + unsigned char m[128]; +} random_data; + +typedef struct generated_data_t { + unsigned char pk[32]; + unsigned char sig[64]; + int valid; +} generated_data; + +static void +print_generated(const char *desc, generated_data *g) { + printf("%s:\n", desc); + print_bytes("pk", g->pk, 32); + print_bytes("sig", g->sig, 64); + printf("valid: %s\n\n", g->valid ? "no" : "yes"); +} + +static void +print_generated_diff(const char *desc, const generated_data *base, generated_data *g) { + printf("%s:\n", desc); + print_diff("pk", base->pk, g->pk, 32); + print_diff("sig", base->sig, g->sig, 64); + printf("valid: %s\n\n", (base->valid == g->valid) ? "___" : (g->valid ? "no" : "yes")); +} + +int main() { + const size_t rndmax = 128; + static random_data rnd[128]; + static generated_data gen[3]; + random_data *r; + generated_data *g; + unsigned long long dummylen; + unsigned char dummysk[64]; + unsigned char dummymsg[2][128+64]; + size_t rndi, geni, i, j; + uint64_t ctr; + + printf("fuzzing: "); + printf(" ref10"); + printf(" ed25519-donna"); +#if defined(ED25519_SSE2) + printf(" ed25519-donna-sse2"); +#endif + printf("\n\n"); + + for (ctr = 0, rndi = rndmax;;ctr++) { + if (rndi == rndmax) { + prng((unsigned char *)rnd, sizeof(rnd)); + rndi = 0; + } + r = &rnd[rndi++]; + + /* ref10, lots of horrible gymnastics to work around the wonky api */ + geni = 0; + g = &gen[geni++]; + memcpy(dummysk, r->sk, 32); /* pk is appended to the sk, need to copy the sk to a larger buffer */ + crypto_sign_pk_ref10(dummysk + 32, dummysk); + memcpy(g->pk, dummysk + 32, 32); + crypto_sign_ref10(dummymsg[0], &dummylen, r->m, 128, dummysk); + memcpy(g->sig, dummymsg[0], 64); /* sig is placed in front of the signed message */ + g->valid = crypto_sign_open_ref10(dummymsg[1], &dummylen, dummymsg[0], 128 + 64, g->pk); + + /* ed25519-donna */ + g = &gen[geni++]; + ed25519_publickey(r->sk, g->pk); + ed25519_sign(r->m, 128, r->sk, g->pk, g->sig); + g->valid = ed25519_sign_open(r->m, 128, g->pk, g->sig); + + #if defined(ED25519_SSE2) + /* ed25519-donna-sse2 */ + g = &gen[geni++]; + ed25519_publickey_sse2(r->sk, g->pk); + ed25519_sign_sse2(r->m, 128, r->sk, g->pk, g->sig); + g->valid = ed25519_sign_open_sse2(r->m, 128, g->pk, g->sig); + #endif + + /* compare implementations 1..geni against the reference */ + for (i = 1; i < geni; i++) { + if (memcmp(&gen[0], &gen[i], sizeof(generated_data)) != 0) { + printf("\n\n"); + print_bytes("sk", r->sk, 32); + print_bytes("m", r->m, 128); + print_generated("ref10", &gen[0]); + print_generated_diff("ed25519-donna", &gen[0], &gen[1]); + #if defined(ED25519_SSE2) + print_generated_diff("ed25519-donna-sse2", &gen[0], &gen[2]); + #endif + exit(1); + } + } + + /* print out status */ + if (ctr && (ctr % 0x1000 == 0)) { + printf("."); + if ((ctr % 0x20000) == 0) { + printf(" ["); + for (i = 0; i < 8; i++) + printf("%02x", (unsigned char)(ctr >> ((7 - i) * 8))); + printf("]\n"); + } + } + } +} \ No newline at end of file diff --git a/src/ext/ed25519/donna/modm-donna-32bit.h b/src/ext/ed25519/donna/modm-donna-32bit.h new file mode 100644 index 0000000..dfd76be --- /dev/null +++ b/src/ext/ed25519/donna/modm-donna-32bit.h @@ -0,0 +1,469 @@ +/* + Public domain by Andrew M. <liquidsun(a)gmail.com> +*/ + + +/* + Arithmetic modulo the group order n = 2^252 + 27742317777372353535851937790883648493 = 7237005577332262213973186563042994240857116359379907606001950938285454250989 + + k = 32 + b = 1 << 8 = 256 + m = 2^252 + 27742317777372353535851937790883648493 = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed + mu = floor( b^(k*2) / m ) = 0xfffffffffffffffffffffffffffffffeb2106215d086329a7ed9ce5a30a2c131b +*/ + +#define bignum256modm_bits_per_limb 30 +#define bignum256modm_limb_size 9 + +typedef uint32_t bignum256modm_element_t; +typedef bignum256modm_element_t bignum256modm[9]; + +static const bignum256modm modm_m = { + 0x1cf5d3ed, 0x20498c69, 0x2f79cd65, 0x37be77a8, + 0x00000014, 0x00000000, 0x00000000, 0x00000000, + 0x00001000 +}; + +static const bignum256modm modm_mu = { + 0x0a2c131b, 0x3673968c, 0x06329a7e, 0x01885742, + 0x3fffeb21, 0x3fffffff, 0x3fffffff, 0x3fffffff, + 0x000fffff +}; + +static bignum256modm_element_t +lt_modm(bignum256modm_element_t a, bignum256modm_element_t b) { + return (a - b) >> 31; +} + +/* see HAC, Alg. 14.42 Step 4 */ +static void +reduce256_modm(bignum256modm r) { + bignum256modm t; + bignum256modm_element_t b = 0, pb, mask; + + /* t = r - m */ + pb = 0; + pb += modm_m[0]; b = lt_modm(r[0], pb); t[0] = (r[0] - pb + (b << 30)); pb = b; + pb += modm_m[1]; b = lt_modm(r[1], pb); t[1] = (r[1] - pb + (b << 30)); pb = b; + pb += modm_m[2]; b = lt_modm(r[2], pb); t[2] = (r[2] - pb + (b << 30)); pb = b; + pb += modm_m[3]; b = lt_modm(r[3], pb); t[3] = (r[3] - pb + (b << 30)); pb = b; + pb += modm_m[4]; b = lt_modm(r[4], pb); t[4] = (r[4] - pb + (b << 30)); pb = b; + pb += modm_m[5]; b = lt_modm(r[5], pb); t[5] = (r[5] - pb + (b << 30)); pb = b; + pb += modm_m[6]; b = lt_modm(r[6], pb); t[6] = (r[6] - pb + (b << 30)); pb = b; + pb += modm_m[7]; b = lt_modm(r[7], pb); t[7] = (r[7] - pb + (b << 30)); pb = b; + pb += modm_m[8]; b = lt_modm(r[8], pb); t[8] = (r[8] - pb + (b << 16)); + + /* keep r if r was smaller than m */ + mask = b - 1; + r[0] ^= mask & (r[0] ^ t[0]); + r[1] ^= mask & (r[1] ^ t[1]); + r[2] ^= mask & (r[2] ^ t[2]); + r[3] ^= mask & (r[3] ^ t[3]); + r[4] ^= mask & (r[4] ^ t[4]); + r[5] ^= mask & (r[5] ^ t[5]); + r[6] ^= mask & (r[6] ^ t[6]); + r[7] ^= mask & (r[7] ^ t[7]); + r[8] ^= mask & (r[8] ^ t[8]); +} + +/* + Barrett reduction, see HAC, Alg. 14.42 + + Instead of passing in x, pre-process in to q1 and r1 for efficiency +*/ +static void +barrett_reduce256_modm(bignum256modm r, const bignum256modm q1, const bignum256modm r1) { + bignum256modm q3, r2; + uint64_t c; + bignum256modm_element_t f, b, pb; + + /* q1 = x >> 248 = 264 bits = 9 30 bit elements + q2 = mu * q1 + q3 = (q2 / 256(32+1)) = q2 / (2^8)^(32+1) = q2 >> 264 */ + c = mul32x32_64(modm_mu[0], q1[7]) + mul32x32_64(modm_mu[1], q1[6]) + mul32x32_64(modm_mu[2], q1[5]) + mul32x32_64(modm_mu[3], q1[4]) + mul32x32_64(modm_mu[4], q1[3]) + mul32x32_64(modm_mu[5], q1[2]) + mul32x32_64(modm_mu[6], q1[1]) + mul32x32_64(modm_mu[7], q1[0]); + c >>= 30; + c += mul32x32_64(modm_mu[0], q1[8]) + mul32x32_64(modm_mu[1], q1[7]) + mul32x32_64(modm_mu[2], q1[6]) + mul32x32_64(modm_mu[3], q1[5]) + mul32x32_64(modm_mu[4], q1[4]) + mul32x32_64(modm_mu[5], q1[3]) + mul32x32_64(modm_mu[6], q1[2]) + mul32x32_64(modm_mu[7], q1[1]) + mul32x32_64(modm_mu[8], q1[0]); + f = (bignum256modm_element_t)c; q3[0] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[1], q1[8]) + mul32x32_64(modm_mu[2], q1[7]) + mul32x32_64(modm_mu[3], q1[6]) + mul32x32_64(modm_mu[4], q1[5]) + mul32x32_64(modm_mu[5], q1[4]) + mul32x32_64(modm_mu[6], q1[3]) + mul32x32_64(modm_mu[7], q1[2]) + mul32x32_64(modm_mu[8], q1[1]); + f = (bignum256modm_element_t)c; q3[0] |= (f << 6) & 0x3fffffff; q3[1] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[2], q1[8]) + mul32x32_64(modm_mu[3], q1[7]) + mul32x32_64(modm_mu[4], q1[6]) + mul32x32_64(modm_mu[5], q1[5]) + mul32x32_64(modm_mu[6], q1[4]) + mul32x32_64(modm_mu[7], q1[3]) + mul32x32_64(modm_mu[8], q1[2]); + f = (bignum256modm_element_t)c; q3[1] |= (f << 6) & 0x3fffffff; q3[2] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[3], q1[8]) + mul32x32_64(modm_mu[4], q1[7]) + mul32x32_64(modm_mu[5], q1[6]) + mul32x32_64(modm_mu[6], q1[5]) + mul32x32_64(modm_mu[7], q1[4]) + mul32x32_64(modm_mu[8], q1[3]); + f = (bignum256modm_element_t)c; q3[2] |= (f << 6) & 0x3fffffff; q3[3] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[4], q1[8]) + mul32x32_64(modm_mu[5], q1[7]) + mul32x32_64(modm_mu[6], q1[6]) + mul32x32_64(modm_mu[7], q1[5]) + mul32x32_64(modm_mu[8], q1[4]); + f = (bignum256modm_element_t)c; q3[3] |= (f << 6) & 0x3fffffff; q3[4] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[5], q1[8]) + mul32x32_64(modm_mu[6], q1[7]) + mul32x32_64(modm_mu[7], q1[6]) + mul32x32_64(modm_mu[8], q1[5]); + f = (bignum256modm_element_t)c; q3[4] |= (f << 6) & 0x3fffffff; q3[5] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[6], q1[8]) + mul32x32_64(modm_mu[7], q1[7]) + mul32x32_64(modm_mu[8], q1[6]); + f = (bignum256modm_element_t)c; q3[5] |= (f << 6) & 0x3fffffff; q3[6] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[7], q1[8]) + mul32x32_64(modm_mu[8], q1[7]); + f = (bignum256modm_element_t)c; q3[6] |= (f << 6) & 0x3fffffff; q3[7] = (f >> 24) & 0x3f; c >>= 30; + c += mul32x32_64(modm_mu[8], q1[8]); + f = (bignum256modm_element_t)c; q3[7] |= (f << 6) & 0x3fffffff; q3[8] = (bignum256modm_element_t)(c >> 24); + + /* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1) + r2 = (q3 * m) mod (256^(32+1)) = (q3 * m) & ((1 << 264) - 1) */ + c = mul32x32_64(modm_m[0], q3[0]); + r2[0] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[1]) + mul32x32_64(modm_m[1], q3[0]); + r2[1] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[2]) + mul32x32_64(modm_m[1], q3[1]) + mul32x32_64(modm_m[2], q3[0]); + r2[2] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[3]) + mul32x32_64(modm_m[1], q3[2]) + mul32x32_64(modm_m[2], q3[1]) + mul32x32_64(modm_m[3], q3[0]); + r2[3] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[4]) + mul32x32_64(modm_m[1], q3[3]) + mul32x32_64(modm_m[2], q3[2]) + mul32x32_64(modm_m[3], q3[1]) + mul32x32_64(modm_m[4], q3[0]); + r2[4] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[5]) + mul32x32_64(modm_m[1], q3[4]) + mul32x32_64(modm_m[2], q3[3]) + mul32x32_64(modm_m[3], q3[2]) + mul32x32_64(modm_m[4], q3[1]) + mul32x32_64(modm_m[5], q3[0]); + r2[5] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[6]) + mul32x32_64(modm_m[1], q3[5]) + mul32x32_64(modm_m[2], q3[4]) + mul32x32_64(modm_m[3], q3[3]) + mul32x32_64(modm_m[4], q3[2]) + mul32x32_64(modm_m[5], q3[1]) + mul32x32_64(modm_m[6], q3[0]); + r2[6] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[7]) + mul32x32_64(modm_m[1], q3[6]) + mul32x32_64(modm_m[2], q3[5]) + mul32x32_64(modm_m[3], q3[4]) + mul32x32_64(modm_m[4], q3[3]) + mul32x32_64(modm_m[5], q3[2]) + mul32x32_64(modm_m[6], q3[1]) + mul32x32_64(modm_m[7], q3[0]); + r2[7] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30; + c += mul32x32_64(modm_m[0], q3[8]) + mul32x32_64(modm_m[1], q3[7]) + mul32x32_64(modm_m[2], q3[6]) + mul32x32_64(modm_m[3], q3[5]) + mul32x32_64(modm_m[4], q3[4]) + mul32x32_64(modm_m[5], q3[3]) + mul32x32_64(modm_m[6], q3[2]) + mul32x32_64(modm_m[7], q3[1]) + mul32x32_64(modm_m[8], q3[0]); + r2[8] = (bignum256modm_element_t)(c & 0xffffff); + + /* r = r1 - r2 + if (r < 0) r += (1 << 264) */ + pb = 0; + pb += r2[0]; b = lt_modm(r1[0], pb); r[0] = (r1[0] - pb + (b << 30)); pb = b; + pb += r2[1]; b = lt_modm(r1[1], pb); r[1] = (r1[1] - pb + (b << 30)); pb = b; + pb += r2[2]; b = lt_modm(r1[2], pb); r[2] = (r1[2] - pb + (b << 30)); pb = b; + pb += r2[3]; b = lt_modm(r1[3], pb); r[3] = (r1[3] - pb + (b << 30)); pb = b; + pb += r2[4]; b = lt_modm(r1[4], pb); r[4] = (r1[4] - pb + (b << 30)); pb = b; + pb += r2[5]; b = lt_modm(r1[5], pb); r[5] = (r1[5] - pb + (b << 30)); pb = b; + pb += r2[6]; b = lt_modm(r1[6], pb); r[6] = (r1[6] - pb + (b << 30)); pb = b; + pb += r2[7]; b = lt_modm(r1[7], pb); r[7] = (r1[7] - pb + (b << 30)); pb = b; + pb += r2[8]; b = lt_modm(r1[8], pb); r[8] = (r1[8] - pb + (b << 24)); + + reduce256_modm(r); + reduce256_modm(r); +} + +/* addition modulo m */ +static void +add256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) { + bignum256modm_element_t c; + + c = x[0] + y[0]; r[0] = c & 0x3fffffff; c >>= 30; + c += x[1] + y[1]; r[1] = c & 0x3fffffff; c >>= 30; + c += x[2] + y[2]; r[2] = c & 0x3fffffff; c >>= 30; + c += x[3] + y[3]; r[3] = c & 0x3fffffff; c >>= 30; + c += x[4] + y[4]; r[4] = c & 0x3fffffff; c >>= 30; + c += x[5] + y[5]; r[5] = c & 0x3fffffff; c >>= 30; + c += x[6] + y[6]; r[6] = c & 0x3fffffff; c >>= 30; + c += x[7] + y[7]; r[7] = c & 0x3fffffff; c >>= 30; + c += x[8] + y[8]; r[8] = c; + + reduce256_modm(r); +} + +/* multiplication modulo m */ +static void +mul256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) { + bignum256modm r1, q1; + uint64_t c; + bignum256modm_element_t f; + + /* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1) + q1 = x >> 248 = 264 bits = 9 30 bit elements */ + c = mul32x32_64(x[0], y[0]); + f = (bignum256modm_element_t)c; r1[0] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[1]) + mul32x32_64(x[1], y[0]); + f = (bignum256modm_element_t)c; r1[1] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[2]) + mul32x32_64(x[1], y[1]) + mul32x32_64(x[2], y[0]); + f = (bignum256modm_element_t)c; r1[2] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[3]) + mul32x32_64(x[1], y[2]) + mul32x32_64(x[2], y[1]) + mul32x32_64(x[3], y[0]); + f = (bignum256modm_element_t)c; r1[3] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[4]) + mul32x32_64(x[1], y[3]) + mul32x32_64(x[2], y[2]) + mul32x32_64(x[3], y[1]) + mul32x32_64(x[4], y[0]); + f = (bignum256modm_element_t)c; r1[4] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[5]) + mul32x32_64(x[1], y[4]) + mul32x32_64(x[2], y[3]) + mul32x32_64(x[3], y[2]) + mul32x32_64(x[4], y[1]) + mul32x32_64(x[5], y[0]); + f = (bignum256modm_element_t)c; r1[5] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[6]) + mul32x32_64(x[1], y[5]) + mul32x32_64(x[2], y[4]) + mul32x32_64(x[3], y[3]) + mul32x32_64(x[4], y[2]) + mul32x32_64(x[5], y[1]) + mul32x32_64(x[6], y[0]); + f = (bignum256modm_element_t)c; r1[6] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[7]) + mul32x32_64(x[1], y[6]) + mul32x32_64(x[2], y[5]) + mul32x32_64(x[3], y[4]) + mul32x32_64(x[4], y[3]) + mul32x32_64(x[5], y[2]) + mul32x32_64(x[6], y[1]) + mul32x32_64(x[7], y[0]); + f = (bignum256modm_element_t)c; r1[7] = (f & 0x3fffffff); c >>= 30; + c += mul32x32_64(x[0], y[8]) + mul32x32_64(x[1], y[7]) + mul32x32_64(x[2], y[6]) + mul32x32_64(x[3], y[5]) + mul32x32_64(x[4], y[4]) + mul32x32_64(x[5], y[3]) + mul32x32_64(x[6], y[2]) + mul32x32_64(x[7], y[1]) + mul32x32_64(x[8], y[0]); + f = (bignum256modm_element_t)c; r1[8] = (f & 0x00ffffff); q1[0] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[1], y[8]) + mul32x32_64(x[2], y[7]) + mul32x32_64(x[3], y[6]) + mul32x32_64(x[4], y[5]) + mul32x32_64(x[5], y[4]) + mul32x32_64(x[6], y[3]) + mul32x32_64(x[7], y[2]) + mul32x32_64(x[8], y[1]); + f = (bignum256modm_element_t)c; q1[0] = (q1[0] | (f << 22)) & 0x3fffffff; q1[1] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[2], y[8]) + mul32x32_64(x[3], y[7]) + mul32x32_64(x[4], y[6]) + mul32x32_64(x[5], y[5]) + mul32x32_64(x[6], y[4]) + mul32x32_64(x[7], y[3]) + mul32x32_64(x[8], y[2]); + f = (bignum256modm_element_t)c; q1[1] = (q1[1] | (f << 22)) & 0x3fffffff; q1[2] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[3], y[8]) + mul32x32_64(x[4], y[7]) + mul32x32_64(x[5], y[6]) + mul32x32_64(x[6], y[5]) + mul32x32_64(x[7], y[4]) + mul32x32_64(x[8], y[3]); + f = (bignum256modm_element_t)c; q1[2] = (q1[2] | (f << 22)) & 0x3fffffff; q1[3] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[4], y[8]) + mul32x32_64(x[5], y[7]) + mul32x32_64(x[6], y[6]) + mul32x32_64(x[7], y[5]) + mul32x32_64(x[8], y[4]); + f = (bignum256modm_element_t)c; q1[3] = (q1[3] | (f << 22)) & 0x3fffffff; q1[4] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[5], y[8]) + mul32x32_64(x[6], y[7]) + mul32x32_64(x[7], y[6]) + mul32x32_64(x[8], y[5]); + f = (bignum256modm_element_t)c; q1[4] = (q1[4] | (f << 22)) & 0x3fffffff; q1[5] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[6], y[8]) + mul32x32_64(x[7], y[7]) + mul32x32_64(x[8], y[6]); + f = (bignum256modm_element_t)c; q1[5] = (q1[5] | (f << 22)) & 0x3fffffff; q1[6] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[7], y[8]) + mul32x32_64(x[8], y[7]); + f = (bignum256modm_element_t)c; q1[6] = (q1[6] | (f << 22)) & 0x3fffffff; q1[7] = (f >> 8) & 0x3fffff; c >>= 30; + c += mul32x32_64(x[8], y[8]); + f = (bignum256modm_element_t)c; q1[7] = (q1[7] | (f << 22)) & 0x3fffffff; q1[8] = (f >> 8) & 0x3fffff; + + barrett_reduce256_modm(r, q1, r1); +} + +static void +expand256_modm(bignum256modm out, const unsigned char *in, size_t len) { + unsigned char work[64] = {0}; + bignum256modm_element_t x[16]; + bignum256modm q1; + + memcpy(work, in, len); + x[0] = U8TO32_LE(work + 0); + x[1] = U8TO32_LE(work + 4); + x[2] = U8TO32_LE(work + 8); + x[3] = U8TO32_LE(work + 12); + x[4] = U8TO32_LE(work + 16); + x[5] = U8TO32_LE(work + 20); + x[6] = U8TO32_LE(work + 24); + x[7] = U8TO32_LE(work + 28); + x[8] = U8TO32_LE(work + 32); + x[9] = U8TO32_LE(work + 36); + x[10] = U8TO32_LE(work + 40); + x[11] = U8TO32_LE(work + 44); + x[12] = U8TO32_LE(work + 48); + x[13] = U8TO32_LE(work + 52); + x[14] = U8TO32_LE(work + 56); + x[15] = U8TO32_LE(work + 60); + + /* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1) */ + out[0] = ( x[0]) & 0x3fffffff; + out[1] = ((x[ 0] >> 30) | (x[ 1] << 2)) & 0x3fffffff; + out[2] = ((x[ 1] >> 28) | (x[ 2] << 4)) & 0x3fffffff; + out[3] = ((x[ 2] >> 26) | (x[ 3] << 6)) & 0x3fffffff; + out[4] = ((x[ 3] >> 24) | (x[ 4] << 8)) & 0x3fffffff; + out[5] = ((x[ 4] >> 22) | (x[ 5] << 10)) & 0x3fffffff; + out[6] = ((x[ 5] >> 20) | (x[ 6] << 12)) & 0x3fffffff; + out[7] = ((x[ 6] >> 18) | (x[ 7] << 14)) & 0x3fffffff; + out[8] = ((x[ 7] >> 16) | (x[ 8] << 16)) & 0x00ffffff; + + /* 8*31 = 248 bits, no need to reduce */ + if (len < 32) + return; + + /* q1 = x >> 248 = 264 bits = 9 30 bit elements */ + q1[0] = ((x[ 7] >> 24) | (x[ 8] << 8)) & 0x3fffffff; + q1[1] = ((x[ 8] >> 22) | (x[ 9] << 10)) & 0x3fffffff; + q1[2] = ((x[ 9] >> 20) | (x[10] << 12)) & 0x3fffffff; + q1[3] = ((x[10] >> 18) | (x[11] << 14)) & 0x3fffffff; + q1[4] = ((x[11] >> 16) | (x[12] << 16)) & 0x3fffffff; + q1[5] = ((x[12] >> 14) | (x[13] << 18)) & 0x3fffffff; + q1[6] = ((x[13] >> 12) | (x[14] << 20)) & 0x3fffffff; + q1[7] = ((x[14] >> 10) | (x[15] << 22)) & 0x3fffffff; + q1[8] = ((x[15] >> 8) ); + + barrett_reduce256_modm(out, q1, out); +} + +static void +expand_raw256_modm(bignum256modm out, const unsigned char in[32]) { + bignum256modm_element_t x[8]; + + x[0] = U8TO32_LE(in + 0); + x[1] = U8TO32_LE(in + 4); + x[2] = U8TO32_LE(in + 8); + x[3] = U8TO32_LE(in + 12); + x[4] = U8TO32_LE(in + 16); + x[5] = U8TO32_LE(in + 20); + x[6] = U8TO32_LE(in + 24); + x[7] = U8TO32_LE(in + 28); + + out[0] = ( x[0]) & 0x3fffffff; + out[1] = ((x[ 0] >> 30) | (x[ 1] << 2)) & 0x3fffffff; + out[2] = ((x[ 1] >> 28) | (x[ 2] << 4)) & 0x3fffffff; + out[3] = ((x[ 2] >> 26) | (x[ 3] << 6)) & 0x3fffffff; + out[4] = ((x[ 3] >> 24) | (x[ 4] << 8)) & 0x3fffffff; + out[5] = ((x[ 4] >> 22) | (x[ 5] << 10)) & 0x3fffffff; + out[6] = ((x[ 5] >> 20) | (x[ 6] << 12)) & 0x3fffffff; + out[7] = ((x[ 6] >> 18) | (x[ 7] << 14)) & 0x3fffffff; + out[8] = ((x[ 7] >> 16) ) & 0x0000ffff; +} + +static void +contract256_modm(unsigned char out[32], const bignum256modm in) { + U32TO8_LE(out + 0, (in[0] ) | (in[1] << 30)); + U32TO8_LE(out + 4, (in[1] >> 2) | (in[2] << 28)); + U32TO8_LE(out + 8, (in[2] >> 4) | (in[3] << 26)); + U32TO8_LE(out + 12, (in[3] >> 6) | (in[4] << 24)); + U32TO8_LE(out + 16, (in[4] >> 8) | (in[5] << 22)); + U32TO8_LE(out + 20, (in[5] >> 10) | (in[6] << 20)); + U32TO8_LE(out + 24, (in[6] >> 12) | (in[7] << 18)); + U32TO8_LE(out + 28, (in[7] >> 14) | (in[8] << 16)); +} + + + +static void +contract256_window4_modm(signed char r[64], const bignum256modm in) { + char carry; + signed char *quads = r; + bignum256modm_element_t i, j, v; + + for (i = 0; i < 8; i += 2) { + v = in[i]; + for (j = 0; j < 7; j++) { + *quads++ = (v & 15); + v >>= 4; + } + v |= (in[i+1] << 2); + for (j = 0; j < 8; j++) { + *quads++ = (v & 15); + v >>= 4; + } + } + v = in[8]; + *quads++ = (v & 15); v >>= 4; + *quads++ = (v & 15); v >>= 4; + *quads++ = (v & 15); v >>= 4; + *quads++ = (v & 15); v >>= 4; + + /* making it signed */ + carry = 0; + for(i = 0; i < 63; i++) { + r[i] += carry; + r[i+1] += (r[i] >> 4); + r[i] &= 15; + carry = (r[i] >> 3); + r[i] -= (carry << 4); + } + r[63] += carry; +} + +static void +contract256_slidingwindow_modm(signed char r[256], const bignum256modm s, int windowsize) { + int i,j,k,b; + int m = (1 << (windowsize - 1)) - 1, soplen = 256; + signed char *bits = r; + bignum256modm_element_t v; + + /* first put the binary expansion into r */ + for (i = 0; i < 8; i++) { + v = s[i]; + for (j = 0; j < 30; j++, v >>= 1) + *bits++ = (v & 1); + } + v = s[8]; + for (j = 0; j < 16; j++, v >>= 1) + *bits++ = (v & 1); + + /* Making it sliding window */ + for (j = 0; j < soplen; j++) { + if (!r[j]) + continue; + + for (b = 1; (b < (soplen - j)) && (b <= 6); b++) { + if ((r[j] + (r[j + b] << b)) <= m) { + r[j] += r[j + b] << b; + r[j + b] = 0; + } else if ((r[j] - (r[j + b] << b)) >= -m) { + r[j] -= r[j + b] << b; + for (k = j + b; k < soplen; k++) { + if (!r[k]) { + r[k] = 1; + break; + } + r[k] = 0; + } + } else if (r[j + b]) { + break; + } + } + } +} + + +/* + helpers for batch verifcation, are allowed to be vartime +*/ + +/* out = a - b, a must be larger than b */ +static void +sub256_modm_batch(bignum256modm out, const bignum256modm a, const bignum256modm b, size_t limbsize) { + size_t i = 0; + bignum256modm_element_t carry = 0; + switch (limbsize) { + case 8: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++; + case 7: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++; + case 6: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++; + case 5: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++; + case 4: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++; + case 3: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++; + case 2: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++; + case 1: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++; + case 0: + default: out[i] = (a[i] - b[i]) - carry; + } +} + + +/* is a < b */ +static int +lt256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) { + switch (limbsize) { + case 8: if (a[8] > b[8]) return 0; if (a[8] < b[8]) return 1; + case 7: if (a[7] > b[7]) return 0; if (a[7] < b[7]) return 1; + case 6: if (a[6] > b[6]) return 0; if (a[6] < b[6]) return 1; + case 5: if (a[5] > b[5]) return 0; if (a[5] < b[5]) return 1; + case 4: if (a[4] > b[4]) return 0; if (a[4] < b[4]) return 1; + case 3: if (a[3] > b[3]) return 0; if (a[3] < b[3]) return 1; + case 2: if (a[2] > b[2]) return 0; if (a[2] < b[2]) return 1; + case 1: if (a[1] > b[1]) return 0; if (a[1] < b[1]) return 1; + case 0: if (a[0] > b[0]) return 0; if (a[0] < b[0]) return 1; + } + return 0; +} + +/* is a <= b */ +static int +lte256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) { + switch (limbsize) { + case 8: if (a[8] > b[8]) return 0; if (a[8] < b[8]) return 1; + case 7: if (a[7] > b[7]) return 0; if (a[7] < b[7]) return 1; + case 6: if (a[6] > b[6]) return 0; if (a[6] < b[6]) return 1; + case 5: if (a[5] > b[5]) return 0; if (a[5] < b[5]) return 1; + case 4: if (a[4] > b[4]) return 0; if (a[4] < b[4]) return 1; + case 3: if (a[3] > b[3]) return 0; if (a[3] < b[3]) return 1; + case 2: if (a[2] > b[2]) return 0; if (a[2] < b[2]) return 1; + case 1: if (a[1] > b[1]) return 0; if (a[1] < b[1]) return 1; + case 0: if (a[0] > b[0]) return 0; if (a[0] < b[0]) return 1; + } + return 1; +} + + +/* is a == 0 */ +static int +iszero256_modm_batch(const bignum256modm a) { + size_t i; + for (i = 0; i < 9; i++) + if (a[i]) + return 0; + return 1; +} + +/* is a == 1 */ +static int +isone256_modm_batch(const bignum256modm a) { + size_t i; + if (a[0] != 1) + return 0; + for (i = 1; i < 9; i++) + if (a[i]) + return 0; + return 1; +} + +/* can a fit in to (at most) 128 bits */ +static int +isatmost128bits256_modm_batch(const bignum256modm a) { + uint32_t mask = + ((a[8] ) | /* 16 */ + (a[7] ) | /* 46 */ + (a[6] ) | /* 76 */ + (a[5] ) | /* 106 */ + (a[4] & 0x3fffff00)); /* 128 */ + + return (mask == 0); +} diff --git a/src/ext/ed25519/donna/modm-donna-64bit.h b/src/ext/ed25519/donna/modm-donna-64bit.h new file mode 100644 index 0000000..a47a38a --- /dev/null +++ b/src/ext/ed25519/donna/modm-donna-64bit.h @@ -0,0 +1,361 @@ +/* + Public domain by Andrew M. <liquidsun(a)gmail.com> +*/ + + +/* + Arithmetic modulo the group order n = 2^252 + 27742317777372353535851937790883648493 = 7237005577332262213973186563042994240857116359379907606001950938285454250989 + + k = 32 + b = 1 << 8 = 256 + m = 2^252 + 27742317777372353535851937790883648493 = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed + mu = floor( b^(k*2) / m ) = 0xfffffffffffffffffffffffffffffffeb2106215d086329a7ed9ce5a30a2c131b +*/ + +#define bignum256modm_bits_per_limb 56 +#define bignum256modm_limb_size 5 + +typedef uint64_t bignum256modm_element_t; +typedef bignum256modm_element_t bignum256modm[5]; + +static const bignum256modm modm_m = { + 0x12631a5cf5d3ed, + 0xf9dea2f79cd658, + 0x000000000014de, + 0x00000000000000, + 0x00000010000000 +}; + +static const bignum256modm modm_mu = { + 0x9ce5a30a2c131b, + 0x215d086329a7ed, + 0xffffffffeb2106, + 0xffffffffffffff, + 0x00000fffffffff +}; + +static bignum256modm_element_t +lt_modm(bignum256modm_element_t a, bignum256modm_element_t b) { + return (a - b) >> 63; +} + +static void +reduce256_modm(bignum256modm r) { + bignum256modm t; + bignum256modm_element_t b = 0, pb, mask; + + /* t = r - m */ + pb = 0; + pb += modm_m[0]; b = lt_modm(r[0], pb); t[0] = (r[0] - pb + (b << 56)); pb = b; + pb += modm_m[1]; b = lt_modm(r[1], pb); t[1] = (r[1] - pb + (b << 56)); pb = b; + pb += modm_m[2]; b = lt_modm(r[2], pb); t[2] = (r[2] - pb + (b << 56)); pb = b; + pb += modm_m[3]; b = lt_modm(r[3], pb); t[3] = (r[3] - pb + (b << 56)); pb = b; + pb += modm_m[4]; b = lt_modm(r[4], pb); t[4] = (r[4] - pb + (b << 32)); + + /* keep r if r was smaller than m */ + mask = b - 1; + + r[0] ^= mask & (r[0] ^ t[0]); + r[1] ^= mask & (r[1] ^ t[1]); + r[2] ^= mask & (r[2] ^ t[2]); + r[3] ^= mask & (r[3] ^ t[3]); + r[4] ^= mask & (r[4] ^ t[4]); +} + +static void +barrett_reduce256_modm(bignum256modm r, const bignum256modm q1, const bignum256modm r1) { + bignum256modm q3, r2; + uint128_t c, mul; + bignum256modm_element_t f, b, pb; + + /* q1 = x >> 248 = 264 bits = 5 56 bit elements + q2 = mu * q1 + q3 = (q2 / 256(32+1)) = q2 / (2^8)^(32+1) = q2 >> 264 */ + mul64x64_128(c, modm_mu[0], q1[3]) mul64x64_128(mul, modm_mu[3], q1[0]) add128(c, mul) mul64x64_128(mul, modm_mu[1], q1[2]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[1]) add128(c, mul) shr128(f, c, 56); + mul64x64_128(c, modm_mu[0], q1[4]) add128_64(c, f) mul64x64_128(mul, modm_mu[4], q1[0]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[1]) add128(c, mul) mul64x64_128(mul, modm_mu[1], q1[3]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[2]) add128(c, mul) + f = lo128(c); q3[0] = (f >> 40) & 0xffff; shr128(f, c, 56); + mul64x64_128(c, modm_mu[4], q1[1]) add128_64(c, f) mul64x64_128(mul, modm_mu[1], q1[4]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[3]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[2]) add128(c, mul) + f = lo128(c); q3[0] |= (f << 16) & 0xffffffffffffff; q3[1] = (f >> 40) & 0xffff; shr128(f, c, 56); + mul64x64_128(c, modm_mu[4], q1[2]) add128_64(c, f) mul64x64_128(mul, modm_mu[2], q1[4]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[3]) add128(c, mul) + f = lo128(c); q3[1] |= (f << 16) & 0xffffffffffffff; q3[2] = (f >> 40) & 0xffff; shr128(f, c, 56); + mul64x64_128(c, modm_mu[4], q1[3]) add128_64(c, f) mul64x64_128(mul, modm_mu[3], q1[4]) add128(c, mul) + f = lo128(c); q3[2] |= (f << 16) & 0xffffffffffffff; q3[3] = (f >> 40) & 0xffff; shr128(f, c, 56); + mul64x64_128(c, modm_mu[4], q1[4]) add128_64(c, f) + f = lo128(c); q3[3] |= (f << 16) & 0xffffffffffffff; q3[4] = (f >> 40) & 0xffff; shr128(f, c, 56); + q3[4] |= (f << 16); + + mul64x64_128(c, modm_m[0], q3[0]) + r2[0] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, modm_m[0], q3[1]) add128_64(c, f) mul64x64_128(mul, modm_m[1], q3[0]) add128(c, mul) + r2[1] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, modm_m[0], q3[2]) add128_64(c, f) mul64x64_128(mul, modm_m[2], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[1]) add128(c, mul) + r2[2] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, modm_m[0], q3[3]) add128_64(c, f) mul64x64_128(mul, modm_m[3], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[2]) add128(c, mul) mul64x64_128(mul, modm_m[2], q3[1]) add128(c, mul) + r2[3] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, modm_m[0], q3[4]) add128_64(c, f) mul64x64_128(mul, modm_m[4], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[3], q3[1]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[3]) add128(c, mul) mul64x64_128(mul, modm_m[2], q3[2]) add128(c, mul) + r2[4] = lo128(c) & 0x0000ffffffffff; + + pb = 0; + pb += r2[0]; b = lt_modm(r1[0], pb); r[0] = (r1[0] - pb + (b << 56)); pb = b; + pb += r2[1]; b = lt_modm(r1[1], pb); r[1] = (r1[1] - pb + (b << 56)); pb = b; + pb += r2[2]; b = lt_modm(r1[2], pb); r[2] = (r1[2] - pb + (b << 56)); pb = b; + pb += r2[3]; b = lt_modm(r1[3], pb); r[3] = (r1[3] - pb + (b << 56)); pb = b; + pb += r2[4]; b = lt_modm(r1[4], pb); r[4] = (r1[4] - pb + (b << 40)); + + reduce256_modm(r); + reduce256_modm(r); +} + + +static void +add256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) { + bignum256modm_element_t c; + + c = x[0] + y[0]; r[0] = c & 0xffffffffffffff; c >>= 56; + c += x[1] + y[1]; r[1] = c & 0xffffffffffffff; c >>= 56; + c += x[2] + y[2]; r[2] = c & 0xffffffffffffff; c >>= 56; + c += x[3] + y[3]; r[3] = c & 0xffffffffffffff; c >>= 56; + c += x[4] + y[4]; r[4] = c; + + reduce256_modm(r); +} + +static void +mul256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) { + bignum256modm q1, r1; + uint128_t c, mul; + bignum256modm_element_t f; + + mul64x64_128(c, x[0], y[0]) + f = lo128(c); r1[0] = f & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, x[0], y[1]) add128_64(c, f) mul64x64_128(mul, x[1], y[0]) add128(c, mul) + f = lo128(c); r1[1] = f & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, x[0], y[2]) add128_64(c, f) mul64x64_128(mul, x[2], y[0]) add128(c, mul) mul64x64_128(mul, x[1], y[1]) add128(c, mul) + f = lo128(c); r1[2] = f & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, x[0], y[3]) add128_64(c, f) mul64x64_128(mul, x[3], y[0]) add128(c, mul) mul64x64_128(mul, x[1], y[2]) add128(c, mul) mul64x64_128(mul, x[2], y[1]) add128(c, mul) + f = lo128(c); r1[3] = f & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, x[0], y[4]) add128_64(c, f) mul64x64_128(mul, x[4], y[0]) add128(c, mul) mul64x64_128(mul, x[3], y[1]) add128(c, mul) mul64x64_128(mul, x[1], y[3]) add128(c, mul) mul64x64_128(mul, x[2], y[2]) add128(c, mul) + f = lo128(c); r1[4] = f & 0x0000ffffffffff; q1[0] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + mul64x64_128(c, x[4], y[1]) add128_64(c, f) mul64x64_128(mul, x[1], y[4]) add128(c, mul) mul64x64_128(mul, x[2], y[3]) add128(c, mul) mul64x64_128(mul, x[3], y[2]) add128(c, mul) + f = lo128(c); q1[0] |= (f << 32) & 0xffffffffffffff; q1[1] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + mul64x64_128(c, x[4], y[2]) add128_64(c, f) mul64x64_128(mul, x[2], y[4]) add128(c, mul) mul64x64_128(mul, x[3], y[3]) add128(c, mul) + f = lo128(c); q1[1] |= (f << 32) & 0xffffffffffffff; q1[2] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + mul64x64_128(c, x[4], y[3]) add128_64(c, f) mul64x64_128(mul, x[3], y[4]) add128(c, mul) + f = lo128(c); q1[2] |= (f << 32) & 0xffffffffffffff; q1[3] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + mul64x64_128(c, x[4], y[4]) add128_64(c, f) + f = lo128(c); q1[3] |= (f << 32) & 0xffffffffffffff; q1[4] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + q1[4] |= (f << 32); + + barrett_reduce256_modm(r, q1, r1); +} + +static void +expand256_modm(bignum256modm out, const unsigned char *in, size_t len) { + unsigned char work[64] = {0}; + bignum256modm_element_t x[16]; + bignum256modm q1; + + memcpy(work, in, len); + x[0] = U8TO64_LE(work + 0); + x[1] = U8TO64_LE(work + 8); + x[2] = U8TO64_LE(work + 16); + x[3] = U8TO64_LE(work + 24); + x[4] = U8TO64_LE(work + 32); + x[5] = U8TO64_LE(work + 40); + x[6] = U8TO64_LE(work + 48); + x[7] = U8TO64_LE(work + 56); + + /* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1) */ + out[0] = ( x[0]) & 0xffffffffffffff; + out[1] = ((x[ 0] >> 56) | (x[ 1] << 8)) & 0xffffffffffffff; + out[2] = ((x[ 1] >> 48) | (x[ 2] << 16)) & 0xffffffffffffff; + out[3] = ((x[ 2] >> 40) | (x[ 3] << 24)) & 0xffffffffffffff; + out[4] = ((x[ 3] >> 32) | (x[ 4] << 32)) & 0x0000ffffffffff; + + /* under 252 bits, no need to reduce */ + if (len < 32) + return; + + /* q1 = x >> 248 = 264 bits */ + q1[0] = ((x[ 3] >> 56) | (x[ 4] << 8)) & 0xffffffffffffff; + q1[1] = ((x[ 4] >> 48) | (x[ 5] << 16)) & 0xffffffffffffff; + q1[2] = ((x[ 5] >> 40) | (x[ 6] << 24)) & 0xffffffffffffff; + q1[3] = ((x[ 6] >> 32) | (x[ 7] << 32)) & 0xffffffffffffff; + q1[4] = ((x[ 7] >> 24) ); + + barrett_reduce256_modm(out, q1, out); +} + +static void +expand_raw256_modm(bignum256modm out, const unsigned char in[32]) { + bignum256modm_element_t x[4]; + + x[0] = U8TO64_LE(in + 0); + x[1] = U8TO64_LE(in + 8); + x[2] = U8TO64_LE(in + 16); + x[3] = U8TO64_LE(in + 24); + + out[0] = ( x[0]) & 0xffffffffffffff; + out[1] = ((x[ 0] >> 56) | (x[ 1] << 8)) & 0xffffffffffffff; + out[2] = ((x[ 1] >> 48) | (x[ 2] << 16)) & 0xffffffffffffff; + out[3] = ((x[ 2] >> 40) | (x[ 3] << 24)) & 0xffffffffffffff; + out[4] = ((x[ 3] >> 32) ) & 0x000000ffffffff; +} + +static void +contract256_modm(unsigned char out[32], const bignum256modm in) { + U64TO8_LE(out + 0, (in[0] ) | (in[1] << 56)); + U64TO8_LE(out + 8, (in[1] >> 8) | (in[2] << 48)); + U64TO8_LE(out + 16, (in[2] >> 16) | (in[3] << 40)); + U64TO8_LE(out + 24, (in[3] >> 24) | (in[4] << 32)); +} + +static void +contract256_window4_modm(signed char r[64], const bignum256modm in) { + char carry; + signed char *quads = r; + bignum256modm_element_t i, j, v, m; + + for (i = 0; i < 5; i++) { + v = in[i]; + m = (i == 4) ? 8 : 14; + for (j = 0; j < m; j++) { + *quads++ = (v & 15); + v >>= 4; + } + } + + /* making it signed */ + carry = 0; + for(i = 0; i < 63; i++) { + r[i] += carry; + r[i+1] += (r[i] >> 4); + r[i] &= 15; + carry = (r[i] >> 3); + r[i] -= (carry << 4); + } + r[63] += carry; +} + +static void +contract256_slidingwindow_modm(signed char r[256], const bignum256modm s, int windowsize) { + int i,j,k,b; + int m = (1 << (windowsize - 1)) - 1, soplen = 256; + signed char *bits = r; + bignum256modm_element_t v; + + /* first put the binary expansion into r */ + for (i = 0; i < 4; i++) { + v = s[i]; + for (j = 0; j < 56; j++, v >>= 1) + *bits++ = (v & 1); + } + v = s[4]; + for (j = 0; j < 32; j++, v >>= 1) + *bits++ = (v & 1); + + /* Making it sliding window */ + for (j = 0; j < soplen; j++) { + if (!r[j]) + continue; + + for (b = 1; (b < (soplen - j)) && (b <= 6); b++) { + if ((r[j] + (r[j + b] << b)) <= m) { + r[j] += r[j + b] << b; + r[j + b] = 0; + } else if ((r[j] - (r[j + b] << b)) >= -m) { + r[j] -= r[j + b] << b; + for (k = j + b; k < soplen; k++) { + if (!r[k]) { + r[k] = 1; + break; + } + r[k] = 0; + } + } else if (r[j + b]) { + break; + } + } + } +} + +/* + helpers for batch verifcation, are allowed to be vartime +*/ + +/* out = a - b, a must be larger than b */ +static void +sub256_modm_batch(bignum256modm out, const bignum256modm a, const bignum256modm b, size_t limbsize) { + size_t i = 0; + bignum256modm_element_t carry = 0; + switch (limbsize) { + case 4: out[i] = (a[i] - b[i]) ; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++; + case 3: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++; + case 2: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++; + case 1: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++; + case 0: + default: out[i] = (a[i] - b[i]) - carry; + } +} + + +/* is a < b */ +static int +lt256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) { + size_t i = 0; + bignum256modm_element_t t, carry = 0; + switch (limbsize) { + case 4: t = (a[i] - b[i]) ; carry = (t >> 63); i++; + case 3: t = (a[i] - b[i]) - carry; carry = (t >> 63); i++; + case 2: t = (a[i] - b[i]) - carry; carry = (t >> 63); i++; + case 1: t = (a[i] - b[i]) - carry; carry = (t >> 63); i++; + case 0: t = (a[i] - b[i]) - carry; carry = (t >> 63); + } + return (int)carry; +} + +/* is a <= b */ +static int +lte256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) { + size_t i = 0; + bignum256modm_element_t t, carry = 0; + switch (limbsize) { + case 4: t = (b[i] - a[i]) ; carry = (t >> 63); i++; + case 3: t = (b[i] - a[i]) - carry; carry = (t >> 63); i++; + case 2: t = (b[i] - a[i]) - carry; carry = (t >> 63); i++; + case 1: t = (b[i] - a[i]) - carry; carry = (t >> 63); i++; + case 0: t = (b[i] - a[i]) - carry; carry = (t >> 63); + } + return (int)!carry; +} + +/* is a == 0 */ +static int +iszero256_modm_batch(const bignum256modm a) { + size_t i; + for (i = 0; i < 5; i++) + if (a[i]) + return 0; + return 1; +} + +/* is a == 1 */ +static int +isone256_modm_batch(const bignum256modm a) { + size_t i; + for (i = 0; i < 5; i++) + if (a[i] != ((i) ? 0 : 1)) + return 0; + return 1; +} + +/* can a fit in to (at most) 128 bits */ +static int +isatmost128bits256_modm_batch(const bignum256modm a) { + uint64_t mask = + ((a[4] ) | /* 32 */ + (a[3] ) | /* 88 */ + (a[2] & 0xffffffffff0000)); + + return (mask == 0); +} diff --git a/src/ext/ed25519/donna/regression.h b/src/ext/ed25519/donna/regression.h new file mode 100644 index 0000000..b4c2e62 --- /dev/null +++ b/src/ext/ed25519/donna/regression.h @@ -0,0 +1,1024 @@ 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+#include "ed25519-donna.h" + +static int +test_adds() { +#if defined(HAVE_UINT128) && !defined(ED25519_SSE2) + /* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */ + static const bignum25519 max_bignum = { + 0x7ffffffffffff,0x8000000001230,0x7ffffffffffff,0x7ffffffffffff,0x7ffffffffffff + }; + + /* what max_bignum should fully reduce to */ + static const unsigned char max_bignum_raw[32] = { + 0x12,0x00,0x00,0x00,0x00,0x00,0x88,0x91,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00 + }; + + /* (max_bignum + max_bignum)^2 */ + static const unsigned char max_bignum2_squared_raw[32] = { + 0x10,0x05,0x00,0x00,0x00,0x00,0x80,0xdc,0x51,0x00,0x00,0x00,0x00,0x61,0xed,0x4a, + 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + }; + + /* ((max_bignum + max_bignum) + max_bignum)^2 */ + static const unsigned char max_bignum3_squared_raw[32] = { + 0x64,0x0b,0x00,0x00,0x00,0x00,0x20,0x30,0xb8,0x00,0x00,0x00,0x40,0x1a,0x96,0xe8, + 0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + }; +#else + /* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */ + static const bignum25519 ALIGN(16) max_bignum = { + 0x3ffffff,0x2000300,0x3ffffff,0x1ffffff,0x3ffffff, + 0x1ffffff,0x3ffffff,0x1ffffff,0x3ffffff,0x1ffffff + }; + + /* what max_bignum should fully reduce to */ + static const unsigned char max_bignum2_squared_raw[32] = { + 0x10,0x05,0x00,0x40,0xc2,0x06,0x40,0x80,0x41,0x02,0x00,0x00,0x00,0x00,0x00,0x00, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + }; + + /* (max_bignum * max_bignum) */ + static const unsigned char max_bignum3_squared_raw[32] = { + 0x64,0x0b,0x00,0x10,0x35,0x0f,0x90,0x60,0x13,0x05,0x00,0x00,0x00,0x00,0x00,0x00, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + }; +#endif + unsigned char result[32]; + static const bignum25519 ALIGN(16) zero = {0}; + bignum25519 ALIGN(16) a, b, c; + size_t i; + + /* a = (max_bignum + max_bignum) */ + curve25519_add(a, max_bignum, max_bignum); + + /* b = ((max_bignum + max_bignum) * (max_bignum + max_bignum)) */ + curve25519_mul(b, a, a); + curve25519_contract(result, b); + if (memcmp(result, max_bignum2_squared_raw, 32) != 0) + return -1; + curve25519_square(b, a); + curve25519_contract(result, b); + if (memcmp(result, max_bignum2_squared_raw, 32) != 0) + return -1; + + /* b = (max_bignum + max_bignum + max_bignum) */ + curve25519_add_after_basic(b, a, max_bignum); + + /* a = ((max_bignum + max_bignum + max_bignum) * (max_bignum + max_bignum + max_bignum)) */ + curve25519_mul(a, b, b); + curve25519_contract(result, a); + if (memcmp(result, max_bignum3_squared_raw, 32) != 0) + return -1; + curve25519_square(a, b); + curve25519_contract(result, a); + if (memcmp(result, max_bignum3_squared_raw, 32) != 0) + return -1; + + return 0; +} + +static int +test_subs() { +#if defined(HAVE_UINT128) && !defined(ED25519_SSE2) + /* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */ + static const bignum25519 max_bignum = { + 0x7ffffffffffff,0x8000000001230,0x7ffffffffffff,0x7ffffffffffff,0x7ffffffffffff + }; + + /* what max_bignum should fully reduce to */ + static const unsigned char max_bignum_raw[32] = { + 0x12,0x00,0x00,0x00,0x00,0x00,0x88,0x91,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00 + }; + + /* (max_bignum * max_bignum) */ + static const unsigned char max_bignum_squared_raw[32] = { + 0x44,0x01,0x00,0x00,0x00,0x00,0x20,0x77,0x14,0x00,0x00,0x00,0x40,0x58,0xbb,0x52, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00 + }; +#else + /* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */ + static const bignum25519 ALIGN(16) max_bignum = { + 0x3ffffff,0x2000300,0x3ffffff,0x1ffffff,0x3ffffff, + 0x1ffffff,0x3ffffff,0x1ffffff,0x3ffffff,0x1ffffff + }; + + /* what max_bignum should fully reduce to */ + static const unsigned char max_bignum_raw[32] = { + 0x12,0x00,0x00,0x04,0x0c,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + }; + + /* (max_bignum * max_bignum) */ + static const unsigned char max_bignum_squared_raw[32] = { + 0x44,0x01,0x00,0x90,0xb0,0x01,0x10,0x60,0x90,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + }; +#endif + unsigned char result[32]; + static const bignum25519 ALIGN(16) zero = {0}; + bignum25519 ALIGN(16) a, b, c; + size_t i; + + /* a = max_bignum - 0, which expands to 2p + max_bignum - 0 */ + curve25519_sub(a, max_bignum, zero); + curve25519_contract(result, a); + if (memcmp(result, max_bignum_raw, 32) != 0) + return -1; + + /* b = (max_bignum * max_bignum) */ + curve25519_mul(b, a, a); + curve25519_contract(result, b); + if (memcmp(result, max_bignum_squared_raw, 32) != 0) + return -1; + curve25519_square(b, a); + curve25519_contract(result, b); + if (memcmp(result, max_bignum_squared_raw, 32) != 0) + return -1; + + /* b = ((a - 0) - 0) */ + curve25519_sub_after_basic(b, a, zero); + curve25519_contract(result, b); + if (memcmp(result, max_bignum_raw, 32) != 0) + return -1; + + /* a = (max_bignum * max_bignum) */ + curve25519_mul(a, b, b); + curve25519_contract(result, a); + if (memcmp(result, max_bignum_squared_raw, 32) != 0) + return -1; + curve25519_square(a, b); + curve25519_contract(result, a); + if (memcmp(result, max_bignum_squared_raw, 32) != 0) + return -1; + + + return 0; +} + + +int +main() { + int ret = 0; + int single; + single = test_adds(); + if (single) printf("test_adds: FAILED\n"); + ret |= single; + single = test_subs(); + if (single) printf("test_subs: FAILED\n"); + ret |= single; + if (!ret) printf("success\n"); + return ret; +} + + diff --git a/src/ext/ed25519/donna/test-ticks.h b/src/ext/ed25519/donna/test-ticks.h new file mode 100644 index 0000000..0103e03 --- /dev/null +++ b/src/ext/ed25519/donna/test-ticks.h @@ -0,0 +1,50 @@ +#include "ed25519-donna-portable-identify.h" + +/* ticks - not tested on anything other than x86 */ +static uint64_t +get_ticks(void) { +#if defined(CPU_X86) || defined(CPU_X86_64) + #if defined(COMPILER_INTEL) + return _rdtsc(); + #elif defined(COMPILER_MSVC) + return __rdtsc(); + #elif defined(COMPILER_GCC) + uint32_t lo, hi; + __asm__ __volatile__("rdtsc" : "=a" (lo), "=d" (hi)); + return ((uint64_t)lo | ((uint64_t)hi << 32)); + #else + need rdtsc for this compiler + #endif +#elif defined(OS_SOLARIS) + return (uint64_t)gethrtime(); +#elif defined(CPU_SPARC) && !defined(OS_OPENBSD) + uint64_t t; + __asm__ __volatile__("rd %%tick, %0" : "=r" (t)); + return t; +#elif defined(CPU_PPC) + uint32_t lo = 0, hi = 0; + __asm__ __volatile__("mftbu %0; mftb %1" : "=r" (hi), "=r" (lo)); + return ((uint64_t)lo | ((uint64_t)hi << 32)); +#elif defined(CPU_IA64) + uint64_t t; + __asm__ __volatile__("mov %0=ar.itc" : "=r" (t)); + return t; +#elif defined(OS_NIX) + timeval t2; + gettimeofday(&t2, NULL); + t = ((uint64_t)t2.tv_usec << 32) | (uint64_t)t2.tv_sec; + return t; +#else + need ticks for this platform +#endif +} + +#define timeit(x,minvar) \ + ticks = get_ticks(); \ + x; \ + ticks = get_ticks() - ticks; \ + if (ticks < minvar) \ + minvar = ticks; + +#define maxticks 0xffffffffffffffffull + diff --git a/src/ext/ed25519/donna/test.c b/src/ext/ed25519/donna/test.c new file mode 100644 index 0000000..6154492 --- /dev/null +++ b/src/ext/ed25519/donna/test.c @@ -0,0 +1,260 @@ +/* + Validate ed25519 implementation against the official test vectors from + http://ed25519.cr.yp.to/software.html +*/ + +#include <stdio.h> +#include <string.h> +#include "ed25519.h" + +#include "test-ticks.h" + +static void +edassert(int check, int round, const char *failreason) { + if (check) + return; + printf("round %d, %s\n", round, failreason); + exit(1); +} + +static void +edassert_die(const unsigned char *a, const unsigned char *b, size_t len, int round, const char *failreason) { + size_t i; + if (round > 0) + printf("round %d, %s\n", round, failreason); + else + printf("%s\n", failreason); + printf("want: "); for (i = 0; i < len; i++) printf("%02x,", a[i]); printf("\n"); + printf("got : "); for (i = 0; i < len; i++) printf("%02x,", b[i]); printf("\n"); + printf("diff: "); for (i = 0; i < len; i++) if (a[i] ^ b[i]) printf("%02x,", a[i] ^ b[i]); else printf(" ,"); printf("\n\n"); + exit(1); +} + +static void +edassert_equal(const unsigned char *a, const unsigned char *b, size_t len, const char *failreason) { + if (memcmp(a, b, len) == 0) + return; + edassert_die(a, b, len, -1, failreason); +} + +static void +edassert_equal_round(const unsigned char *a, const unsigned char *b, size_t len, int round, const char *failreason) { + if (memcmp(a, b, len) == 0) + return; + edassert_die(a, b, len, round, failreason); +} + + +/* test data */ +typedef struct test_data_t { + unsigned char sk[32], pk[32], sig[64]; + const char *m; +} test_data; + + +test_data dataset[] = { +#include "regression.h" +}; + +/* result of the curve25519 scalarmult ((|255| * basepoint) * basepoint)... 1024 times */ +const curved25519_key curved25519_expected = { + 0xac,0xce,0x24,0xb1,0xd4,0xa2,0x36,0x21, + 0x15,0xe2,0x3e,0x84,0x3c,0x23,0x2b,0x5f, + 0x95,0x6c,0xc0,0x7b,0x95,0x82,0xd7,0x93, + 0xd5,0x19,0xb6,0xf1,0xfb,0x96,0xd6,0x04 +}; + + +/* from ed25519-donna-batchverify.h */ +extern unsigned char batch_point_buffer[3][32]; + +/* y coordinate of the final point from 'amd64-51-30k' with the same random generator */ +static const unsigned char batch_verify_y[32] = { + 0x51,0xe7,0x68,0xe0,0xf7,0xa1,0x88,0x45, + 0xde,0xa1,0xcb,0xd9,0x37,0xd4,0x78,0x53, + 0x1b,0x95,0xdb,0xbe,0x66,0x59,0x29,0x3b, + 0x94,0x51,0x2f,0xbc,0x0d,0x66,0xba,0x3f +}; + +/* +static const unsigned char batch_verify_y[32] = { + 0x5c,0x63,0x96,0x26,0xca,0xfe,0xfd,0xc4, + 0x2d,0x11,0xa8,0xe4,0xc4,0x46,0x42,0x97, + 0x97,0x92,0xbe,0xe0,0x3c,0xef,0x96,0x01, + 0x50,0xa1,0xcc,0x8f,0x50,0x85,0x76,0x7d +}; + +Introducing the 128 bit r scalars to the heap _before_ the largest scalar +fits in to 128 bits alters the heap shape and produces a different, +yet still neutral/valid y/z value. + +This was the value of introducing the r scalars when the largest scalar fit +in to 135-256 bits. You can produce it with amd64-64-24k / amd64-51-32k +with the random sequence used in the first pass by changing + + unsigned long long hlen=((npoints+1)/2)|1; + +to + + unsigned long long hlen=npoints; + +in ge25519_multi_scalarmult.c + +ed25519-donna-batchverify.h has been modified to match the +default amd64-64-24k / amd64-51-32k behaviour +*/ + + + +/* batch test */ +#define test_batch_count 64 +#define test_batch_rounds 96 + +typedef enum batch_test_t { + batch_no_errors = 0, + batch_wrong_message = 1, + batch_wrong_pk = 2, + batch_wrong_sig = 3 +} batch_test; + +static int +test_batch_instance(batch_test type, uint64_t *ticks) { + ed25519_secret_key sks[test_batch_count]; + ed25519_public_key pks[test_batch_count]; + ed25519_signature sigs[test_batch_count]; + unsigned char messages[test_batch_count][128]; + size_t message_lengths[test_batch_count]; + const unsigned char *message_pointers[test_batch_count]; + const unsigned char *pk_pointers[test_batch_count]; + const unsigned char *sig_pointers[test_batch_count]; + int valid[test_batch_count], ret, validret; + size_t i; + uint64_t t; + + /* generate keys */ + for (i = 0; i < test_batch_count; i++) { + ed25519_randombytes_unsafe(sks[i], sizeof(sks[i])); + ed25519_publickey(sks[i], pks[i]); + pk_pointers[i] = pks[i]; + } + + /* generate messages */ + ed25519_randombytes_unsafe(messages, sizeof(messages)); + for (i = 0; i < test_batch_count; i++) { + message_pointers[i] = messages[i]; + message_lengths[i] = (i & 127) + 1; + } + + /* sign messages */ + for (i = 0; i < test_batch_count; i++) { + ed25519_sign(message_pointers[i], message_lengths[i], sks[i], pks[i], sigs[i]); + sig_pointers[i] = sigs[i]; + } + + validret = 0; + if (type == batch_wrong_message) { + message_pointers[0] = message_pointers[1]; + validret = 1|2; + } else if (type == batch_wrong_pk) { + pk_pointers[0] = pk_pointers[1]; + validret = 1|2; + } else if (type == batch_wrong_sig) { + sig_pointers[0] = sig_pointers[1]; + validret = 1|2; + } + + /* batch verify */ + t = get_ticks(); + ret = ed25519_sign_open_batch(message_pointers, message_lengths, pk_pointers, sig_pointers, test_batch_count, valid); + *ticks = get_ticks() - t; + edassert_equal((unsigned char *)&validret, (unsigned char *)&ret, sizeof(int), "batch return code"); + for (i = 0; i < test_batch_count; i++) { + validret = ((type == batch_no_errors) || (i != 0)) ? 1 : 0; + edassert_equal((unsigned char *)&validret, (unsigned char *)&valid[i], sizeof(int), "individual batch return code"); + } + return ret; +} + +static void +test_batch(void) { + uint64_t dummy_ticks, ticks[test_batch_rounds], best = maxticks, sum; + size_t i, count; + + /* check the first pass for the expected result */ + test_batch_instance(batch_no_errors, &dummy_ticks); + edassert_equal(batch_verify_y, batch_point_buffer[1], 32, "failed to generate expected result"); + + /* make sure ge25519_multi_scalarmult_vartime throws an error on the entire batch with wrong data */ + for (i = 0; i < 4; i++) { + test_batch_instance(batch_wrong_message, &dummy_ticks); + test_batch_instance(batch_wrong_pk, &dummy_ticks); + test_batch_instance(batch_wrong_sig, &dummy_ticks); + } + + /* speed test */ + for (i = 0; i < test_batch_rounds; i++) { + test_batch_instance(batch_no_errors, &ticks[i]); + if (ticks[i] < best) + best = ticks[i]; + } + + /* take anything within 1% of the best time */ + for (i = 0, sum = 0, count = 0; i < test_batch_rounds; i++) { + if (ticks[i] < (best * 1.01)) { + sum += ticks[i]; + count++; + } + } + printf("%.0f ticks/verification\n", (double)sum / (count * test_batch_count)); +} + +static void +test_main(void) { + int i, res; + ed25519_public_key pk; + ed25519_signature sig; + unsigned char forge[1024] = {'x'}; + curved25519_key csk[2] = {{255}}; + uint64_t ticks, pkticks = maxticks, signticks = maxticks, openticks = maxticks, curvedticks = maxticks; + + for (i = 0; i < 1024; i++) { + ed25519_publickey(dataset[i].sk, pk); + edassert_equal_round(dataset[i].pk, pk, sizeof(pk), i, "public key didn't match"); + ed25519_sign((unsigned char *)dataset[i].m, i, dataset[i].sk, pk, sig); + edassert_equal_round(dataset[i].sig, sig, sizeof(sig), i, "signature didn't match"); + edassert(!ed25519_sign_open((unsigned char *)dataset[i].m, i, pk, sig), i, "failed to open message"); + + memcpy(forge, dataset[i].m, i); + if (i) + forge[i - 1] += 1; + + edassert(ed25519_sign_open(forge, (i) ? i : 1, pk, sig), i, "opened forged message"); + } + + for (i = 0; i < 1024; i++) + curved25519_scalarmult_basepoint(csk[(i & 1) ^ 1], csk[i & 1]); + edassert_equal(curved25519_expected, csk[0], sizeof(curved25519_key), "curve25519 failed to generate correct value"); + + for (i = 0; i < 2048; i++) { + timeit(ed25519_publickey(dataset[0].sk, pk), pkticks) + edassert_equal_round(dataset[0].pk, pk, sizeof(pk), i, "public key didn't match"); + timeit(ed25519_sign((unsigned char *)dataset[0].m, 0, dataset[0].sk, pk, sig), signticks) + edassert_equal_round(dataset[0].sig, sig, sizeof(sig), i, "signature didn't match"); + timeit(res = ed25519_sign_open((unsigned char *)dataset[0].m, 0, pk, sig), openticks) + edassert(!res, 0, "failed to open message"); + timeit(curved25519_scalarmult_basepoint(csk[1], csk[0]), curvedticks); + } + + printf("%.0f ticks/public key generation\n", (double)pkticks); + printf("%.0f ticks/signature\n", (double)signticks); + printf("%.0f ticks/signature verification\n", (double)openticks); + printf("%.0f ticks/curve25519 basepoint scalarmult\n", (double)curvedticks); +} + +int +main(void) { + test_main(); + test_batch(); + return 0; +} +

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[stem/master] Add OnionPerf to examples page
by atagar＠torproject.org 09 Jul '15

09 Jul '15

commit 4566eedcfc3f77a8d19c9a9b3566c9bd64d85a09 Author: Damian Johnson <atagar(a)torproject.org> Date: Thu Jul 9 09:18:53 2015 -0700 Add OnionPerf to examples page --- docs/tutorials/double_double_toil_and_trouble.rst | 1 + 1 file changed, 1 insertion(+) diff --git a/docs/tutorials/double_double_toil_and_trouble.rst b/docs/tutorials/double_double_toil_and_trouble.rst index df8fce3..818a4b2 100644 --- a/docs/tutorials/double_double_toil_and_trouble.rst +++ b/docs/tutorials/double_double_toil_and_trouble.rst @@ -69,6 +69,7 @@ Applications `torsearch <https://github.com/wfn/torsearch>`_ Search engine prototype for descriptor data. `or-applet <https://github.com/Yawning/or-applet>`_ GUI widget to provide circuit information and an interactive interpreter. `OnionBalance <https://github.com/DonnchaC/onionbalance>`_ Tool for making distributed hidden service requests. +`OnionPerf <https://github.com/robgjansen/onionperf>`_ Measures onion service performance over time using customizable client behavior models. `OnionShare <https://github.com/micahflee/onionshare>`_ Hidden service based file sharing application. `Syboa <https://gitorious.org/syboa/syboa>`_ GTK Tor interface similar to `TorK <http://sourceforge.net/projects/tork/>`_. `hs-health <https://gitlab.com/hs-health/hs-health>`_ Experiment to measure churn and reachability of hidden services.

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[tor/master] Remove intro points adaptative algorithm
by nickm＠torproject.org 09 Jul '15

09 Jul '15

commit 8dcbdf58a7fe3b1865b78387126cfe74dd0f0602 Author: David Goulet <dgoulet(a)ev0ke.net> Date: Mon May 11 14:46:15 2015 -0400 Remove intro points adaptative algorithm Partially fixes #4862 Signed-off-by: David Goulet <dgoulet(a)ev0ke.net> --- src/or/rendservice.c | 126 ++------------------------------------------------ 1 file changed, 3 insertions(+), 123 deletions(-) diff --git a/src/or/rendservice.c b/src/or/rendservice.c index 89f95d7..a1c7af6 100644 --- a/src/or/rendservice.c +++ b/src/or/rendservice.c @@ -87,8 +87,6 @@ struct rend_service_port_config_s { /** Try to maintain this many intro points per service by default. */ #define NUM_INTRO_POINTS_DEFAULT 3 -/** Maintain no more than this many intro points per hidden service. */ -#define NUM_INTRO_POINTS_MAX 10 /** If we can't build our intro circuits, don't retry for this long. */ #define INTRO_CIRC_RETRY_PERIOD (60*5) @@ -177,17 +175,6 @@ num_rend_services(void) return smartlist_len(rend_service_list); } -/** Return a string identifying <b>service</b>, suitable for use in a - * log message. The result does not need to be freed, but may be - * overwritten by the next call to this function. */ -static const char * -rend_service_describe_for_log(rend_service_t *service) -{ - /* XXX024 Use this function throughout rendservice.c. */ - /* XXX024 Return a more useful description? */ - return safe_str_client(service->service_id); -} - /** Helper: free storage held by a single service authorized client entry. */ static void rend_authorized_client_free(rend_authorized_client_t *client) @@ -1417,107 +1404,6 @@ rend_check_authorization(rend_service_t *service, return 1; } -/** Called when <b>intro</b> will soon be removed from - * <b>service</b>'s list of intro points. */ -static void -rend_service_note_removing_intro_point(rend_service_t *service, - rend_intro_point_t *intro) -{ - time_t now = time(NULL); - - /* Don't process an intro point twice here. */ - if (intro->rend_service_note_removing_intro_point_called) { - return; - } else { - intro->rend_service_note_removing_intro_point_called = 1; - } - - /* Update service->n_intro_points_wanted based on how long intro - * lasted and how many introductions it handled. */ - if (intro->time_published == -1) { - /* This intro point was never used. Don't change - * n_intro_points_wanted. */ - } else { - - /* We want to increase the number of introduction points service - * operates if intro was heavily used, or decrease the number of - * intro points if intro was lightly used. - * - * We consider an intro point's target 'usage' to be - * maximum of INTRODUCE2 cells divided by - * INTRO_POINT_LIFETIME_MIN_SECONDS seconds. To calculate intro's - * fraction of target usage, we divide the amount of INTRODUCE2 cells - * that it has handled by the fraction of _LIFETIME_MIN_SECONDS for - * which it existed. - * - * Then we multiply that fraction of desired usage by a fudge - * factor of 1.5, to decide how many new introduction points - * should ideally replace intro (which is now closed or soon to be - * closed). In theory, assuming that introduction load is - * distributed equally across all intro points and ignoring the - * fact that different intro points are established and closed at - * different times, that number of intro points should bring all - * of our intro points exactly to our target usage. - * - * Then we clamp that number to a number of intro points we might - * be willing to replace this intro point with and turn it into an - * integer. then we clamp it again to the number of new intro - * points we could establish now, then we adjust - * service->n_intro_points_wanted and let rend_services_introduce - * create the new intro points we want (if any). - */ - const double intro_point_usage = - intro_point_accepted_intro_count(intro) / - (double)(now - intro->time_published); - const double intro_point_target_usage = - intro->max_introductions / - (double)INTRO_POINT_LIFETIME_MIN_SECONDS; - const double fractional_n_intro_points_wanted_to_replace_this_one = - (1.5 * (intro_point_usage / intro_point_target_usage)); - unsigned int n_intro_points_wanted_to_replace_this_one; - unsigned int n_intro_points_wanted_now; - unsigned int n_intro_points_really_wanted_now; - int n_intro_points_really_replacing_this_one; - - if (fractional_n_intro_points_wanted_to_replace_this_one > - NUM_INTRO_POINTS_MAX) { - n_intro_points_wanted_to_replace_this_one = NUM_INTRO_POINTS_MAX; - } else if (fractional_n_intro_points_wanted_to_replace_this_one < 0) { - n_intro_points_wanted_to_replace_this_one = 0; - } else { - n_intro_points_wanted_to_replace_this_one = (unsigned) - fractional_n_intro_points_wanted_to_replace_this_one; - } - - n_intro_points_wanted_now = - service->n_intro_points_wanted + - n_intro_points_wanted_to_replace_this_one - 1; - - if (n_intro_points_wanted_now < NUM_INTRO_POINTS_DEFAULT) { - /* XXXX This should be NUM_INTRO_POINTS_MIN instead. Perhaps - * another use of NUM_INTRO_POINTS_DEFAULT should be, too. */ - n_intro_points_really_wanted_now = NUM_INTRO_POINTS_DEFAULT; - } else if (n_intro_points_wanted_now > NUM_INTRO_POINTS_MAX) { - n_intro_points_really_wanted_now = NUM_INTRO_POINTS_MAX; - } else { - n_intro_points_really_wanted_now = n_intro_points_wanted_now; - } - - n_intro_points_really_replacing_this_one = - n_intro_points_really_wanted_now - service->n_intro_points_wanted + 1; - - log_info(LD_REND, "Replacing closing intro point for service %s " - "with %d new intro points (wanted %g replacements); " - "service will now try to have %u intro points", - rend_service_describe_for_log(service), - n_intro_points_really_replacing_this_one, - fractional_n_intro_points_wanted_to_replace_this_one, - n_intro_points_really_wanted_now); - - service->n_intro_points_wanted = n_intro_points_really_wanted_now; - } -} - /****** * Handle cells ******/ @@ -3506,16 +3392,15 @@ rend_services_introduce(void) node = node_get_by_id(intro->extend_info->identity_digest); if (!node || !intro_circ) { - int removing_this_intro_point_changes_the_intro_point_set = 1; + intro_point_set_changed = 1; log_info(LD_REND, "Giving up on %s as intro point for %s" " (circuit disappeared).", safe_str_client(extend_info_describe(intro->extend_info)), safe_str_client(service->service_id)); - rend_service_note_removing_intro_point(service, intro); if (intro->time_expiring != -1) { log_info(LD_REND, "We were already expiring the intro point; " "no need to mark the HS descriptor as dirty over this."); - removing_this_intro_point_changes_the_intro_point_set = 0; + intro_point_set_changed = 0; } else if (intro->listed_in_last_desc) { log_info(LD_REND, "The intro point we are giving up on was " "included in the last published descriptor. " @@ -3525,17 +3410,12 @@ rend_services_introduce(void) rend_intro_point_free(intro); intro = NULL; /* SMARTLIST_DEL_CURRENT takes a name, not a value. */ SMARTLIST_DEL_CURRENT(service->intro_nodes, intro); - if (removing_this_intro_point_changes_the_intro_point_set) - intro_point_set_changed = 1; } if (intro != NULL && intro_point_should_expire_now(intro, now)) { log_info(LD_REND, "Expiring %s as intro point for %s.", safe_str_client(extend_info_describe(intro->extend_info)), safe_str_client(service->service_id)); - - rend_service_note_removing_intro_point(service, intro); - /* The polite (and generally Right) way to expire an intro * point is to establish a new one to replace it, publish a * new descriptor that doesn't list any expiring intro points, @@ -3561,7 +3441,7 @@ rend_services_introduce(void) } SMARTLIST_FOREACH_END(intro); if (!intro_point_set_changed && - (n_intro_points_unexpired >= service->n_intro_points_wanted)) { + (n_intro_points_unexpired == service->n_intro_points_wanted)) { continue; }

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[tor/master] Add the torrc option HiddenServiceNumIntroductionPoints
by nickm＠torproject.org 09 Jul '15

09 Jul '15

commit adc04580f860b5e8cfd6d49c83fdf73764a4f8cc Author: David Goulet <dgoulet(a)ev0ke.net> Date: Mon May 11 15:48:04 2015 -0400 Add the torrc option HiddenServiceNumIntroductionPoints This is a way to specify the amount of introduction points an hidden service can have. Maximum value is 10 and the default is 3. Fixes #4862 Signed-off-by: David Goulet <dgoulet(a)ev0ke.net> --- changes/bug4862 | 8 ++++++++ doc/tor.1.txt | 4 ++++ src/or/config.c | 1 + src/or/rendservice.c | 19 ++++++++++++++++++- 4 files changed, 31 insertions(+), 1 deletion(-) diff --git a/changes/bug4862 b/changes/bug4862 new file mode 100644 index 0000000..e636395 --- /dev/null +++ b/changes/bug4862 @@ -0,0 +1,8 @@ + o Major feature (Hidden Service): + - Remove the introduction point adaptative algorithm which is leaking + popularity by changing the amount of introduction points depending on + the amount of traffic the HS sees. With this, we stick to only 3 + introduction points. + - Add the torrc option HiddenServiceNumIntroductionPoints for an + operatory to specify a fix amount of introduction points. Maximum + value is 10 and default is 3. diff --git a/doc/tor.1.txt b/doc/tor.1.txt index e7c08f5..6cfad56 100644 --- a/doc/tor.1.txt +++ b/doc/tor.1.txt @@ -2177,6 +2177,10 @@ The following options are used to configure a hidden service. only owner is able to read the hidden service directory. (Default: 0) Has no effect on Windows. +[[HiddenServiceNumIntroductionPoints]] **HiddenServiceNumIntroductionPoints** __NUM__:: + Number of introduction points the hidden service will have. You can't + have more than 10. (Default: 3) + TESTING NETWORK OPTIONS ----------------------- diff --git a/src/or/config.c b/src/or/config.c index d81bc53..0d6c300 100644 --- a/src/or/config.c +++ b/src/or/config.c @@ -288,6 +288,7 @@ static config_var_t option_vars_[] = { VAR("HiddenServiceAllowUnknownPorts",LINELIST_S, RendConfigLines, NULL), VAR("HiddenServiceMaxStreams",LINELIST_S, RendConfigLines, NULL), VAR("HiddenServiceMaxStreamsCloseCircuit",LINELIST_S, RendConfigLines, NULL), + VAR("HiddenServiceNumIntroductionPoints", LINELIST_S, RendConfigLines, NULL), V(HiddenServiceStatistics, BOOL, "0"), V(HidServAuth, LINELIST, NULL), V(CloseHSClientCircuitsImmediatelyOnTimeout, BOOL, "0"), diff --git a/src/or/rendservice.c b/src/or/rendservice.c index a1c7af6..aed01db 100644 --- a/src/or/rendservice.c +++ b/src/or/rendservice.c @@ -87,6 +87,8 @@ struct rend_service_port_config_s { /** Try to maintain this many intro points per service by default. */ #define NUM_INTRO_POINTS_DEFAULT 3 +/** Maximum number of intro points per service. */ +#define NUM_INTRO_POINTS_MAX 10 /** If we can't build our intro circuits, don't retry for this long. */ #define INTRO_CIRC_RETRY_PERIOD (60*5) @@ -577,7 +579,22 @@ rend_config_services(const or_options_t *options, int validate_only) log_info(LD_CONFIG, "HiddenServiceMaxStreamsCloseCircuit=%d for %s", (int)service->max_streams_close_circuit, service->directory); - + } else if (!strcasecmp(line->key, "HiddenServiceNumIntroductionPoints")) { + service->n_intro_points_wanted = + (unsigned int) tor_parse_long(line->value, 10, + NUM_INTRO_POINTS_DEFAULT, + NUM_INTRO_POINTS_MAX, &ok, NULL); + if (!ok) { + log_warn(LD_CONFIG, + "HiddenServiceNumIntroductionPoints " + "should be between %d and %d, not %s", + NUM_INTRO_POINTS_DEFAULT, NUM_INTRO_POINTS_MAX, + line->value); + rend_service_free(service); + return -1; + } + log_info(LD_CONFIG, "HiddenServiceNumIntroductionPoints=%d for %s", + service->n_intro_points_wanted, service->directory); } else if (!strcasecmp(line->key, "HiddenServiceAuthorizeClient")) { /* Parse auth type and comma-separated list of client names and add a * rend_authorized_client_t for each client to the service's list

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