From 9b1afe5f2d488c64e3fb5e087055cf66d2165391 Mon Sep 17 00:00:00 2001 From: moneromooo-monero Date: Fri, 13 May 2016 20:45:20 +0100 Subject: [PATCH] ringct: import of Shen Noether's ring confidential transactions --- src/CMakeLists.txt | 1 + src/crypto/crypto-ops.c | 14 +- src/crypto/crypto-ops.h | 8 + src/crypto/crypto.h | 16 + src/crypto/keccak.c | 6 +- src/crypto/keccak.h | 4 +- src/ringct/CMakeLists.txt | 59 +++ src/ringct/rctCryptoOps.c | 221 ++++++++++++ src/ringct/rctCryptoOps.h | 37 ++ src/ringct/rctOps.cpp | 741 ++++++++++++++++++++++++++++++++++++++ src/ringct/rctOps.h | 163 +++++++++ src/ringct/rctSigs.cpp | 533 +++++++++++++++++++++++++++ src/ringct/rctSigs.h | 144 ++++++++ src/ringct/rctTypes.cpp | 209 +++++++++++ src/ringct/rctTypes.h | 267 ++++++++++++++ 15 files changed, 2410 insertions(+), 13 deletions(-) create mode 100644 src/ringct/CMakeLists.txt create mode 100644 src/ringct/rctCryptoOps.c create mode 100644 src/ringct/rctCryptoOps.h create mode 100644 src/ringct/rctOps.cpp create mode 100644 src/ringct/rctOps.h create mode 100644 src/ringct/rctSigs.cpp create mode 100644 src/ringct/rctSigs.h create mode 100644 src/ringct/rctTypes.cpp create mode 100644 src/ringct/rctTypes.h diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt index dfa31aa72..70bb215d0 100644 --- a/src/CMakeLists.txt +++ b/src/CMakeLists.txt @@ -91,6 +91,7 @@ endfunction () add_subdirectory(common) add_subdirectory(crypto) +add_subdirectory(ringct) add_subdirectory(cryptonote_core) add_subdirectory(blockchain_db) add_subdirectory(mnemonics) diff --git a/src/crypto/crypto-ops.c b/src/crypto/crypto-ops.c index a9b659a6b..1b390e402 100644 --- a/src/crypto/crypto-ops.c +++ b/src/crypto/crypto-ops.c @@ -40,17 +40,15 @@ DISABLE_VS_WARNINGS(4146 4244) static void fe_mul(fe, const fe, const fe); static void fe_sq(fe, const fe); -static void fe_tobytes(unsigned char *, const fe); static void ge_madd(ge_p1p1 *, const ge_p3 *, const ge_precomp *); static void ge_msub(ge_p1p1 *, const ge_p3 *, const ge_precomp *); static void ge_p2_0(ge_p2 *); static void ge_p3_dbl(ge_p1p1 *, const ge_p3 *); -static void ge_sub(ge_p1p1 *, const ge_p3 *, const ge_cached *); static void fe_divpowm1(fe, const fe, const fe); /* Common functions */ -static uint64_t load_3(const unsigned char *in) { +uint64_t load_3(const unsigned char *in) { uint64_t result; result = (uint64_t) in[0]; result |= ((uint64_t) in[1]) << 8; @@ -58,7 +56,7 @@ static uint64_t load_3(const unsigned char *in) { return result; } -static uint64_t load_4(const unsigned char *in) +uint64_t load_4(const unsigned char *in) { uint64_t result; result = (uint64_t) in[0]; @@ -120,7 +118,7 @@ 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) { +void fe_add(fe h, const fe f, const fe g) { int32_t f0 = f[0]; int32_t f1 = f[1]; int32_t f2 = f[2]; @@ -258,7 +256,7 @@ static void fe_copy(fe h, const fe f) { /* From fe_invert.c */ -static void fe_invert(fe out, const fe z) { +void fe_invert(fe out, const fe z) { fe t0; fe t1; fe t2; @@ -1031,7 +1029,7 @@ Proof: so floor(2^(-255)(h + 19 2^(-25) h9 + 2^(-1))) = q. */ -static void fe_tobytes(unsigned char *s, const fe h) { +void fe_tobytes(unsigned char *s, const fe h) { int32_t h0 = h[0]; int32_t h1 = h[1]; int32_t h2 = h[2]; @@ -1591,7 +1589,7 @@ void ge_scalarmult_base(ge_p3 *h, const unsigned char *a) { r = p - q */ -static void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) { +void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) { fe t0; fe_add(r->X, p->Y, p->X); fe_sub(r->Y, p->Y, p->X); diff --git a/src/crypto/crypto-ops.h b/src/crypto/crypto-ops.h index cdc5ac1ee..4986499f4 100644 --- a/src/crypto/crypto-ops.h +++ b/src/crypto/crypto-ops.h @@ -143,3 +143,11 @@ void sc_sub(unsigned char *, const unsigned char *, const unsigned char *); void sc_mulsub(unsigned char *, const unsigned char *, const unsigned char *, const unsigned char *); int sc_check(const unsigned char *); int sc_isnonzero(const unsigned char *); /* Doesn't normalize */ + +// internal +uint64_t load_3(const unsigned char *in); +uint64_t load_4(const unsigned char *in); +void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q); +void fe_add(fe h, const fe f, const fe g); +void fe_tobytes(unsigned char *, const fe); +void fe_invert(fe out, const fe z); diff --git a/src/crypto/crypto.h b/src/crypto/crypto.h index fa55c2aab..aa437d57d 100644 --- a/src/crypto/crypto.h +++ b/src/crypto/crypto.h @@ -64,6 +64,22 @@ namespace crypto { friend class crypto_ops; }; + POD_CLASS public_keyV { + std::vector keys; + int rows; + }; + + POD_CLASS secret_keyV { + std::vector keys; + int rows; + }; + + POD_CLASS public_keyM { + int cols; + int rows; + std::vector column_vectors; + }; + POD_CLASS key_derivation: ec_point { friend class crypto_ops; }; diff --git a/src/crypto/keccak.c b/src/crypto/keccak.c index 3ee2a887c..090d563a2 100644 --- a/src/crypto/keccak.c +++ b/src/crypto/keccak.c @@ -73,11 +73,11 @@ void keccakf(uint64_t st[25], int rounds) // compute a keccak hash (md) of given byte length from "in" typedef uint64_t state_t[25]; -int keccak(const uint8_t *in, int inlen, uint8_t *md, int mdlen) +int keccak(const uint8_t *in, size_t inlen, uint8_t *md, int mdlen) { state_t st; uint8_t temp[144]; - int i, rsiz, rsizw; + size_t i, rsiz, rsizw; rsiz = sizeof(state_t) == mdlen ? HASH_DATA_AREA : 200 - 2 * mdlen; rsizw = rsiz / 8; @@ -106,7 +106,7 @@ int keccak(const uint8_t *in, int inlen, uint8_t *md, int mdlen) return 0; } -void keccak1600(const uint8_t *in, int inlen, uint8_t *md) +void keccak1600(const uint8_t *in, size_t inlen, uint8_t *md) { keccak(in, inlen, md, sizeof(state_t)); } diff --git a/src/crypto/keccak.h b/src/crypto/keccak.h index 4f7f85729..fbd8e1904 100644 --- a/src/crypto/keccak.h +++ b/src/crypto/keccak.h @@ -16,11 +16,11 @@ #endif // compute a keccak hash (md) of given byte length from "in" -int keccak(const uint8_t *in, int inlen, uint8_t *md, int mdlen); +int keccak(const uint8_t *in, size_t inlen, uint8_t *md, int mdlen); // update the state void keccakf(uint64_t st[25], int norounds); -void keccak1600(const uint8_t *in, int inlen, uint8_t *md); +void keccak1600(const uint8_t *in, size_t inlen, uint8_t *md); #endif diff --git a/src/ringct/CMakeLists.txt b/src/ringct/CMakeLists.txt new file mode 100644 index 000000000..078199bb0 --- /dev/null +++ b/src/ringct/CMakeLists.txt @@ -0,0 +1,59 @@ +# Copyright (c) 2016, The Monero Project +# +# All rights reserved. +# +# Redistribution and use in source and binary forms, with or without modification, are +# permitted provided that the following conditions are met: +# +# 1. Redistributions of source code must retain the above copyright notice, this list of +# conditions and the following disclaimer. +# +# 2. Redistributions in binary form must reproduce the above copyright notice, this list +# of conditions and the following disclaimer in the documentation and/or other +# materials provided with the distribution. +# +# 3. Neither the name of the copyright holder nor the names of its contributors may be +# used to endorse or promote products derived from this software without specific +# prior written permission. +# +# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +# EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +# MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +# THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +# SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +# PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +# INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +# STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +# THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +set(ringct_sources + rctOps.cpp + rctSigs.cpp + rctTypes.cpp + rctCryptoOps.c) + +set(ringct_headers) + +set(ringct_private_headers + rctOps.h + rctSigs.h + rctTypes.h) + +bitmonero_private_headers(ringct + ${crypto_private_headers}) +bitmonero_add_library(ringct + ${ringct_sources} + ${ringct_headers} + ${ringct_private_headers}) +target_link_libraries(ringct + LINK_PUBLIC + common + crypto + ${Boost_DATE_TIME_LIBRARY} + ${Boost_PROGRAM_OPTIONS_LIBRARY} + ${Boost_SERIALIZATION_LIBRARY} + LINK_PRIVATE + ${Boost_FILESYSTEM_LIBRARY} + ${Boost_SYSTEM_LIBRARY} + ${Boost_THREAD_LIBRARY} + ${EXTRA_LIBRARIES}) diff --git a/src/ringct/rctCryptoOps.c b/src/ringct/rctCryptoOps.c new file mode 100644 index 000000000..9bb9a6891 --- /dev/null +++ b/src/ringct/rctCryptoOps.c @@ -0,0 +1,221 @@ +// Copyright (c) 2014-2016, The Monero Project +// +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without modification, are +// permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this list of +// conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, this list +// of conditions and the following disclaimer in the documentation and/or other +// materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its contributors may be +// used to endorse or promote products derived from this software without specific +// prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +// +// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers + +#include +#include + +#include "crypto/crypto-ops.h" + +//DISABLE_VS_WARNINGS(4146 4244) + +void sc_reduce32copy(unsigned char * scopy, const unsigned char *s) { + int64_t s0 = 2097151 & load_3(s); + int64_t s1 = 2097151 & (load_4(s + 2) >> 5); + int64_t s2 = 2097151 & (load_3(s + 5) >> 2); + int64_t s3 = 2097151 & (load_4(s + 7) >> 7); + int64_t s4 = 2097151 & (load_4(s + 10) >> 4); + int64_t s5 = 2097151 & (load_3(s + 13) >> 1); + int64_t s6 = 2097151 & (load_4(s + 15) >> 6); + int64_t s7 = 2097151 & (load_3(s + 18) >> 3); + int64_t s8 = 2097151 & load_3(s + 21); + int64_t s9 = 2097151 & (load_4(s + 23) >> 5); + int64_t s10 = 2097151 & (load_3(s + 26) >> 2); + int64_t s11 = (load_4(s + 28) >> 7); + int64_t s12 = 0; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + + 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; + + 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; + + scopy[0] = s0 >> 0; + scopy[1] = s0 >> 8; + scopy[2] = (s0 >> 16) | (s1 << 5); + scopy[3] = s1 >> 3; + scopy[4] = s1 >> 11; + scopy[5] = (s1 >> 19) | (s2 << 2); + scopy[6] = s2 >> 6; + scopy[7] = (s2 >> 14) | (s3 << 7); + scopy[8] = s3 >> 1; + scopy[9] = s3 >> 9; + scopy[10] = (s3 >> 17) | (s4 << 4); + scopy[11] = s4 >> 4; + scopy[12] = s4 >> 12; + scopy[13] = (s4 >> 20) | (s5 << 1); + scopy[14] = s5 >> 7; + scopy[15] = (s5 >> 15) | (s6 << 6); + scopy[16] = s6 >> 2; + scopy[17] = s6 >> 10; + scopy[18] = (s6 >> 18) | (s7 << 3); + scopy[19] = s7 >> 5; + scopy[20] = s7 >> 13; + scopy[21] = s8 >> 0; + scopy[22] = s8 >> 8; + scopy[23] = (s8 >> 16) | (s9 << 5); + scopy[24] = s9 >> 3; + scopy[25] = s9 >> 11; + scopy[26] = (s9 >> 19) | (s10 << 2); + scopy[27] = s10 >> 6; + scopy[28] = (s10 >> 14) | (s11 << 7); + scopy[29] = s11 >> 1; + scopy[30] = s11 >> 9; + scopy[31] = s11 >> 17; +} diff --git a/src/ringct/rctCryptoOps.h b/src/ringct/rctCryptoOps.h new file mode 100644 index 000000000..58c6964d8 --- /dev/null +++ b/src/ringct/rctCryptoOps.h @@ -0,0 +1,37 @@ +// Copyright (c) 2014-2016, The Monero Project +// +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without modification, are +// permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this list of +// conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, this list +// of conditions and the following disclaimer in the documentation and/or other +// materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its contributors may be +// used to endorse or promote products derived from this software without specific +// prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +// +// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers + +#pragma once + +extern "C" { +#include "crypto/crypto-ops.h" +} + +void sc_reduce32copy(unsigned char * scopy, const unsigned char *s); diff --git a/src/ringct/rctOps.cpp b/src/ringct/rctOps.cpp new file mode 100644 index 000000000..6853becb9 --- /dev/null +++ b/src/ringct/rctOps.cpp @@ -0,0 +1,741 @@ +// Copyright (c) 2016, Monero Research Labs +// +// Author: Shen Noether +// +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without modification, are +// permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this list of +// conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, this list +// of conditions and the following disclaimer in the documentation and/or other +// materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its contributors may be +// used to endorse or promote products derived from this software without specific +// prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +#include "rctOps.h" +using namespace crypto; +using namespace std; + +namespace rct { + + //Various key initialization functions + + //Creates a zero scalar + void zero(key &zero) { + int i = 0; + for (i = 0; i < 32; i++) { + zero[i] = (unsigned char)(0x00); + } + } + + //Creates a zero scalar + key zero() { + return{ {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, 0x00,0x00 , 0x00, 0x00, 0x00,0x00 } }; + } + + //Creates a zero elliptic curve point + void identity(key &Id) { + int i = 0; + Id[0] = (unsigned char)(0x01); + for (i = 1; i < 32; i++) { + Id[i] = (unsigned char)(0x00); + } + } + + //Creates a zero elliptic curve point + key identity() { + key Id; + int i = 0; + Id[0] = (unsigned char)(0x01); + for (i = 1; i < 32; i++) { + Id[i] = (unsigned char)(0x00); + } + return Id; + } + + //copies a scalar or point + void copy(key &AA, const key &A) { + int i = 0; + for (i = 0; i < 32; i++) { + AA[i] = A.bytes[i]; + } + } + + //copies a scalar or point + key copy(const key &A) { + int i = 0; + key AA; + for (i = 0; i < 32; i++) { + AA[i] = A.bytes[i]; + } + return AA; + } + + + //initializes a key matrix; + //first parameter is rows, + //second is columns + keyM keyMInit(int rows, int cols) { + keyM rv(cols); + int i = 0; + for (i = 0 ; i < cols ; i++) { + rv[i] = keyV(rows); + } + return rv; + } + + + + + //Various key generation functions + + //generates a random scalar which can be used as a secret key or mask + void skGen(key &sk) { + unsigned char tmp[64]; + generate_random_bytes(64, tmp); + memcpy(sk.bytes, tmp, 32); + sc_reduce32(sk.bytes); + } + + //generates a random scalar which can be used as a secret key or mask + key skGen() { + unsigned char tmp[64]; + generate_random_bytes(64, tmp); + key sk; + memcpy(sk.bytes, tmp, 32); + sc_reduce32(sk.bytes); + return sk; + } + + //Generates a vector of secret key + //Mainly used in testing + keyV skvGen(int rows ) { + keyV rv(rows); + int i = 0; + for (i = 0 ; i < rows ; i++) { + skGen(rv[i]); + } + return rv; + } + + //generates a random curve point (for testing) + key pkGen() { + key sk = skGen(); + key pk = scalarmultBase(sk); + return pk; + } + + //generates a random secret and corresponding public key + void skpkGen(key &sk, key &pk) { + skGen(sk); + scalarmultBase(pk, sk); + } + + //generates a random secret and corresponding public key + tuple skpkGen() { + key sk = skGen(); + key pk = scalarmultBase(sk); + return make_tuple(sk, pk); + } + + //generates a / Pedersen commitment to the amount + tuple ctskpkGen(xmr_amount amount) { + ctkey sk, pk; + skpkGen(sk.dest, pk.dest); + skpkGen(sk.mask, pk.mask); + key am = d2h(amount); + key aH = scalarmultH(am); + addKeys(pk.mask, pk.mask, aH); + return make_tuple(sk, pk); + } + + + //generates a / Pedersen commitment but takes bH as input + tuple ctskpkGen(key bH) { + ctkey sk, pk; + skpkGen(sk.dest, pk.dest); + skpkGen(sk.mask, pk.mask); + //key am = d2h(amount); + //key aH = scalarmultH(am); + addKeys(pk.mask, pk.mask, bH); + return make_tuple(sk, pk); + } + + //generates a random uint long long + xmr_amount randXmrAmount(xmr_amount upperlimit) { + return h2d(skGen()) % (upperlimit); + } + + //Scalar multiplications of curve points + + //does a * G where a is a scalar and G is the curve basepoint + void scalarmultBase(key &aG,const key &a) { + ge_p3 point; + sc_reduce32copy(aG.bytes, a.bytes); //do this beforehand! + ge_scalarmult_base(&point, aG.bytes); + ge_p3_tobytes(aG.bytes, &point); + } + + //does a * G where a is a scalar and G is the curve basepoint + key scalarmultBase(const key & a) { + ge_p3 point; + key aG; + sc_reduce32copy(aG.bytes, a.bytes); //do this beforehand + ge_scalarmult_base(&point, aG.bytes); + ge_p3_tobytes(aG.bytes, &point); + return aG; + } + + //does a * P where a is a scalar and P is an arbitrary point + void scalarmultKey(key & aP, const key &P, const key &a) { + ge_p3 A; + ge_p2 R; + ge_frombytes_vartime(&A, P.bytes); + ge_scalarmult(&R, a.bytes, &A); + ge_tobytes(aP.bytes, &R); + } + + //does a * P where a is a scalar and P is an arbitrary point + key scalarmultKey(const key & P, const key & a) { + ge_p3 A; + ge_p2 R; + ge_frombytes_vartime(&A, P.bytes); + ge_scalarmult(&R, a.bytes, &A); + key aP; + ge_tobytes(aP.bytes, &R); + return aP; + } + + + //Computes aH where H= toPoint(cn_fast_hash(G)), G the basepoint + key scalarmultH(const key & a) { + ge_p3 A; + ge_p2 R; + key Htmp = { {0x8b, 0x65, 0x59, 0x70, 0x15, 0x37, 0x99, 0xaf, 0x2a, 0xea, 0xdc, 0x9f, 0xf1, 0xad, 0xd0, 0xea, 0x6c, 0x72, 0x51, 0xd5, 0x41, 0x54, 0xcf, 0xa9, 0x2c, 0x17, 0x3a, 0x0d, 0xd3, 0x9c, 0x1f, 0x94} }; + ge_frombytes_vartime(&A, Htmp.bytes); + ge_scalarmult(&R, a.bytes, &A); + key aP; + ge_tobytes(aP.bytes, &R); + return aP; + } + + //Curve addition / subtractions + + //for curve points: AB = A + B + void addKeys(key &AB, const key &A, const key &B) { + ge_p3 B2, A2; + ge_frombytes_vartime(&B2, B.bytes); + ge_frombytes_vartime(&A2, A.bytes); + ge_cached tmp2; + ge_p3_to_cached(&tmp2, &B2); + ge_p1p1 tmp3; + ge_add(&tmp3, &A2, &tmp2); + ge_p1p1_to_p3(&A2, &tmp3); + ge_p3_tobytes(AB.bytes, &A2); + } + + + //addKeys1 + //aGB = aG + B where a is a scalar, G is the basepoint, and B is a point + void addKeys1(key &aGB, const key &a, const key & B) { + key aG = scalarmultBase(a); + addKeys(aGB, aG, B); + } + + //addKeys2 + //aGbB = aG + bB where a, b are scalars, G is the basepoint and B is a point + void addKeys2(key &aGbB, const key &a, const key &b, const key & B) { + ge_p2 rv; + ge_p3 B2; + ge_frombytes_vartime(&B2, B.bytes); + ge_double_scalarmult_base_vartime(&rv, b.bytes, &B2, a.bytes); + ge_tobytes(aGbB.bytes, &rv); + } + + //Does some precomputation to make addKeys3 more efficient + // input B a curve point and output a ge_dsmp which has precomputation applied + void precomp(ge_dsmp rv, const key & B) { + ge_p3 B2; + ge_frombytes_vartime(&B2, B.bytes); + ge_dsm_precomp(rv, &B2); + } + + //addKeys3 + //aAbB = a*A + b*B where a, b are scalars, A, B are curve points + //B must be input after applying "precomp" + void addKeys3(key &aAbB, const key &a, const key &A, const key &b, const ge_dsmp B) { + ge_p2 rv; + ge_p3 A2; + ge_frombytes_vartime(&A2, A.bytes); + ge_double_scalarmult_precomp_vartime(&rv, a.bytes, &A2, b.bytes, B); + ge_tobytes(aAbB.bytes, &rv); + } + + + //subtract Keys (subtracts curve points) + //AB = A - B where A, B are curve points + void subKeys(key & AB, const key &A, const key &B) { + ge_p3 B2, A2; + ge_frombytes_vartime(&B2, B.bytes); + ge_frombytes_vartime(&A2, A.bytes); + ge_cached tmp2; + ge_p3_to_cached(&tmp2, &B2); + ge_p1p1 tmp3; + ge_sub(&tmp3, &A2, &tmp2); + ge_p1p1_to_p3(&A2, &tmp3); + ge_p3_tobytes(AB.bytes, &A2); + } + + //checks if A, B are equal as curve points + //without doing curve operations + bool equalKeys(const key & a, const key & b) { + key eqk; + sc_sub(eqk.bytes, cn_fast_hash(a).bytes, cn_fast_hash(b).bytes); + if (sc_isnonzero(eqk.bytes) ) { + //DP("eq bytes"); + //DP(eqk); + return false; + } + return true; + } + + //Hashing - cn_fast_hash + //be careful these are also in crypto namespace + //cn_fast_hash for arbitrary multiples of 32 bytes + void cn_fast_hash(key &hash, const void * data, const std::size_t l) { + uint8_t md2[32]; + int j = 0; + keccak((uint8_t *)data, l, md2, 32); + for (j = 0; j < 32; j++) { + hash[j] = (unsigned char)md2[j]; + } + } + + void hash_to_scalar(key &hash, const void * data, const std::size_t l) { + cn_fast_hash(hash, data, l); + sc_reduce32(hash.bytes); + } + + //cn_fast_hash for a 32 byte key + void cn_fast_hash(key & hash, const key & in) { + uint8_t md2[32]; + int j = 0; + keccak((uint8_t *)in.bytes, 32, md2, 32); + for (j = 0; j < 32; j++) { + hash[j] = (unsigned char)md2[j]; + } + } + + void hash_to_scalar(key & hash, const key & in) { + cn_fast_hash(hash, in); + sc_reduce32(hash.bytes); + } + + //cn_fast_hash for a 32 byte key + key cn_fast_hash(const key & in) { + uint8_t md2[32]; + int j = 0; + key hash; + keccak((uint8_t *)in.bytes, 32, md2, 32); + for (j = 0; j < 32; j++) { + hash[j] = (unsigned char)md2[j]; + } + return hash; + } + + key hash_to_scalar(const key & in) { + key hash = cn_fast_hash(in); + sc_reduce32(hash.bytes); + return hash; + } + + //cn_fast_hash for a 128 byte unsigned char + key cn_fast_hash128(const void * in) { + uint8_t md2[32]; + int j = 0; + key hash; + keccak((uint8_t *)in, 128, md2, 32); + for (j = 0; j < 32; j++) { + hash[j] = (unsigned char)md2[j]; + } + return hash; + } + + key hash_to_scalar128(const void * in) { + key hash = cn_fast_hash128(in); + sc_reduce32(hash.bytes); + return hash; + } + + //cn_fast_hash for multisig purpose + //This takes the outputs and commitments + //and hashes them into a 32 byte sized key + key cn_fast_hash(ctkeyV PC) { + key rv = identity(); + std::size_t l = (std::size_t)PC.size(); + size_t i = 0, j = 0; + vector m(l * 64); + for (i = 0 ; i < l ; i++) { + for (j = 0 ; j < 32 ; j++) { + m[i * 64 + j] = PC[i].dest[j]; + m[i * 64 + 32 + j] = PC[i].mask[j]; + } + } + cn_fast_hash(rv, &m[0], l); + return rv; + } + + key hash_to_scalar(ctkeyV PC) { + key rv = cn_fast_hash(PC); + sc_reduce32(rv.bytes); + return rv; + } + + key hashToPointSimple(const key & hh) { + key pointk; + ge_p3 res; + key h = cn_fast_hash(hh); + ge_frombytes_vartime(&res, h.bytes); + ge_p3_tobytes(pointk.bytes, &res); + return pointk; + } + + key hashToPoint(const key & hh) { + key pointk; + ge_p2 point; + ge_p1p1 point2; + ge_p3 res; + key h = cn_fast_hash(hh); + ge_fromfe_frombytes_vartime(&point, h.bytes); + ge_mul8(&point2, &point); + ge_p1p1_to_p3(&res, &point2); + ge_p3_tobytes(pointk.bytes, &res); + return pointk; + } + +void fe_mul(fe h,const fe f,const fe g) +{ + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t g0 = g[0]; + int32_t g1 = g[1]; + int32_t g2 = g[2]; + int32_t g3 = g[3]; + int32_t g4 = g[4]; + int32_t g5 = g[5]; + int32_t g6 = g[6]; + int32_t g7 = g[7]; + int32_t g8 = g[8]; + int32_t g9 = g[9]; + int32_t g1_19 = 19 * g1; /* 1.959375*2^29 */ + int32_t g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ + int32_t g3_19 = 19 * g3; + int32_t g4_19 = 19 * g4; + int32_t g5_19 = 19 * g5; + int32_t g6_19 = 19 * g6; + int32_t g7_19 = 19 * g7; + int32_t g8_19 = 19 * g8; + int32_t g9_19 = 19 * g9; + int32_t f1_2 = 2 * f1; + int32_t f3_2 = 2 * f3; + int32_t f5_2 = 2 * f5; + int32_t f7_2 = 2 * f7; + int32_t f9_2 = 2 * f9; + int64_t f0g0 = f0 * (int64_t) g0; + int64_t f0g1 = f0 * (int64_t) g1; + int64_t f0g2 = f0 * (int64_t) g2; + int64_t f0g3 = f0 * (int64_t) g3; + int64_t f0g4 = f0 * (int64_t) g4; + int64_t f0g5 = f0 * (int64_t) g5; + int64_t f0g6 = f0 * (int64_t) g6; + int64_t f0g7 = f0 * (int64_t) g7; + int64_t f0g8 = f0 * (int64_t) g8; + int64_t f0g9 = f0 * (int64_t) g9; + int64_t f1g0 = f1 * (int64_t) g0; + int64_t f1g1_2 = f1_2 * (int64_t) g1; + int64_t f1g2 = f1 * (int64_t) g2; + int64_t f1g3_2 = f1_2 * (int64_t) g3; + int64_t f1g4 = f1 * (int64_t) g4; + int64_t f1g5_2 = f1_2 * (int64_t) g5; + int64_t f1g6 = f1 * (int64_t) g6; + int64_t f1g7_2 = f1_2 * (int64_t) g7; + int64_t f1g8 = f1 * (int64_t) g8; + int64_t f1g9_38 = f1_2 * (int64_t) g9_19; + int64_t f2g0 = f2 * (int64_t) g0; + int64_t f2g1 = f2 * (int64_t) g1; + int64_t f2g2 = f2 * (int64_t) g2; + int64_t f2g3 = f2 * (int64_t) g3; + int64_t f2g4 = f2 * (int64_t) g4; + int64_t f2g5 = f2 * (int64_t) g5; + int64_t f2g6 = f2 * (int64_t) g6; + int64_t f2g7 = f2 * (int64_t) g7; + int64_t f2g8_19 = f2 * (int64_t) g8_19; + int64_t f2g9_19 = f2 * (int64_t) g9_19; + int64_t f3g0 = f3 * (int64_t) g0; + int64_t f3g1_2 = f3_2 * (int64_t) g1; + int64_t f3g2 = f3 * (int64_t) g2; + int64_t f3g3_2 = f3_2 * (int64_t) g3; + int64_t f3g4 = f3 * (int64_t) g4; + int64_t f3g5_2 = f3_2 * (int64_t) g5; + int64_t f3g6 = f3 * (int64_t) g6; + int64_t f3g7_38 = f3_2 * (int64_t) g7_19; + int64_t f3g8_19 = f3 * (int64_t) g8_19; + int64_t f3g9_38 = f3_2 * (int64_t) g9_19; + int64_t f4g0 = f4 * (int64_t) g0; + int64_t f4g1 = f4 * (int64_t) g1; + int64_t f4g2 = f4 * (int64_t) g2; + int64_t f4g3 = f4 * (int64_t) g3; + int64_t f4g4 = f4 * (int64_t) g4; + int64_t f4g5 = f4 * (int64_t) g5; + int64_t f4g6_19 = f4 * (int64_t) g6_19; + int64_t f4g7_19 = f4 * (int64_t) g7_19; + int64_t f4g8_19 = f4 * (int64_t) g8_19; + int64_t f4g9_19 = f4 * (int64_t) g9_19; + int64_t f5g0 = f5 * (int64_t) g0; + int64_t f5g1_2 = f5_2 * (int64_t) g1; + int64_t f5g2 = f5 * (int64_t) g2; + int64_t f5g3_2 = f5_2 * (int64_t) g3; + int64_t f5g4 = f5 * (int64_t) g4; + int64_t f5g5_38 = f5_2 * (int64_t) g5_19; + int64_t f5g6_19 = f5 * (int64_t) g6_19; + int64_t f5g7_38 = f5_2 * (int64_t) g7_19; + int64_t f5g8_19 = f5 * (int64_t) g8_19; + int64_t f5g9_38 = f5_2 * (int64_t) g9_19; + int64_t f6g0 = f6 * (int64_t) g0; + int64_t f6g1 = f6 * (int64_t) g1; + int64_t f6g2 = f6 * (int64_t) g2; + int64_t f6g3 = f6 * (int64_t) g3; + int64_t f6g4_19 = f6 * (int64_t) g4_19; + int64_t f6g5_19 = f6 * (int64_t) g5_19; + int64_t f6g6_19 = f6 * (int64_t) g6_19; + int64_t f6g7_19 = f6 * (int64_t) g7_19; + int64_t f6g8_19 = f6 * (int64_t) g8_19; + int64_t f6g9_19 = f6 * (int64_t) g9_19; + int64_t f7g0 = f7 * (int64_t) g0; + int64_t f7g1_2 = f7_2 * (int64_t) g1; + int64_t f7g2 = f7 * (int64_t) g2; + int64_t f7g3_38 = f7_2 * (int64_t) g3_19; + int64_t f7g4_19 = f7 * (int64_t) g4_19; + int64_t f7g5_38 = f7_2 * (int64_t) g5_19; + int64_t f7g6_19 = f7 * (int64_t) g6_19; + int64_t f7g7_38 = f7_2 * (int64_t) g7_19; + int64_t f7g8_19 = f7 * (int64_t) g8_19; + int64_t f7g9_38 = f7_2 * (int64_t) g9_19; + int64_t f8g0 = f8 * (int64_t) g0; + int64_t f8g1 = f8 * (int64_t) g1; + int64_t f8g2_19 = f8 * (int64_t) g2_19; + int64_t f8g3_19 = f8 * (int64_t) g3_19; + int64_t f8g4_19 = f8 * (int64_t) g4_19; + int64_t f8g5_19 = f8 * (int64_t) g5_19; + int64_t f8g6_19 = f8 * (int64_t) g6_19; + int64_t f8g7_19 = f8 * (int64_t) g7_19; + int64_t f8g8_19 = f8 * (int64_t) g8_19; + int64_t f8g9_19 = f8 * (int64_t) g9_19; + int64_t f9g0 = f9 * (int64_t) g0; + int64_t f9g1_38 = f9_2 * (int64_t) g1_19; + int64_t f9g2_19 = f9 * (int64_t) g2_19; + int64_t f9g3_38 = f9_2 * (int64_t) g3_19; + int64_t f9g4_19 = f9 * (int64_t) g4_19; + int64_t f9g5_38 = f9_2 * (int64_t) g5_19; + int64_t f9g6_19 = f9 * (int64_t) g6_19; + int64_t f9g7_38 = f9_2 * (int64_t) g7_19; + int64_t f9g8_19 = f9 * (int64_t) g8_19; + int64_t f9g9_38 = f9_2 * (int64_t) g9_19; + int64_t h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; + int64_t h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; + int64_t h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; + int64_t h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; + int64_t h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; + int64_t h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; + int64_t h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; + int64_t h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; + int64_t h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; + int64_t h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + /* + |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38)) + i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8 + |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19)) + i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9 + */ + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; + h1 += carry0; + h0 -= carry0 << 26; + carry4 = (h4 + (int64_t) (1<<25)) >> 26; + h5 += carry4; + h4 -= carry4 << 26; + /* |h0| <= 2^25 */ + /* |h4| <= 2^25 */ + /* |h1| <= 1.71*2^59 */ + /* |h5| <= 1.71*2^59 */ + + carry1 = (h1 + (int64_t) (1<<24)) >> 25; + h2 += carry1; + h1 -= carry1 << 25; + carry5 = (h5 + (int64_t) (1<<24)) >> 25; + h6 += carry5; + h5 -= carry5 << 25; + /* |h1| <= 2^24; from now on fits into int32 */ + /* |h5| <= 2^24; from now on fits into int32 */ + /* |h2| <= 1.41*2^60 */ + /* |h6| <= 1.41*2^60 */ + + carry2 = (h2 + (int64_t) (1<<25)) >> 26; + h3 += carry2; + h2 -= carry2 << 26; + carry6 = (h6 + (int64_t) (1<<25)) >> 26; + h7 += carry6; + h6 -= carry6 << 26; + /* |h2| <= 2^25; from now on fits into int32 unchanged */ + /* |h6| <= 2^25; from now on fits into int32 unchanged */ + /* |h3| <= 1.71*2^59 */ + /* |h7| <= 1.71*2^59 */ + + carry3 = (h3 + (int64_t) (1<<24)) >> 25; + h4 += carry3; + h3 -= carry3 << 25; + carry7 = (h7 + (int64_t) (1<<24)) >> 25; + h8 += carry7; + h7 -= carry7 << 25; + /* |h3| <= 2^24; from now on fits into int32 unchanged */ + /* |h7| <= 2^24; from now on fits into int32 unchanged */ + /* |h4| <= 1.72*2^34 */ + /* |h8| <= 1.41*2^60 */ + + carry4 = (h4 + (int64_t) (1<<25)) >> 26; + h5 += carry4; + h4 -= carry4 << 26; + carry8 = (h8 + (int64_t) (1<<25)) >> 26; + h9 += carry8; + h8 -= carry8 << 26; + /* |h4| <= 2^25; from now on fits into int32 unchanged */ + /* |h8| <= 2^25; from now on fits into int32 unchanged */ + /* |h5| <= 1.01*2^24 */ + /* |h9| <= 1.71*2^59 */ + + carry9 = (h9 + (int64_t) (1<<24)) >> 25; + h0 += carry9 * 19; + h9 -= carry9 << 25; + /* |h9| <= 2^24; from now on fits into int32 unchanged */ + /* |h0| <= 1.1*2^39 */ + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; + h1 += carry0; + h0 -= carry0 << 26; + /* |h0| <= 2^25; from now on fits into int32 unchanged */ + /* |h1| <= 1.01*2^24 */ + + 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; +} + + + +void ge_tobytes2(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); +} + + + key hashToPoint2(const key & hh) { + key pointk; + ge_p2 point; + key h = cn_fast_hash(hh); + ge_fromfe_frombytes_vartime(&point, h.bytes); + ge_tobytes2(pointk.bytes, &point); + return pointk; + } + + + void hashToPoint(key & pointk, const key & hh) { + ge_p2 point; + ge_p1p1 point2; + ge_p3 res; + key h = cn_fast_hash(hh); + ge_fromfe_frombytes_vartime(&point, h.bytes); + ge_mul8(&point2, &point); + ge_p1p1_to_p3(&res, &point2); + ge_p3_tobytes(pointk.bytes, &res); + } + + //sums a vector of curve points (for scalars use sc_add) + void sumKeys(key & Csum, const keyV & Cis) { + identity(Csum); + size_t i = 0; + for (i = 0; i < Cis.size(); i++) { + addKeys(Csum, Csum, Cis[i]); + } + } + + //Elliptic Curve Diffie Helman: encodes and decodes the amount b and mask a + // where C= aG + bH + void ecdhEncode(ecdhTuple & unmasked, const key & receiverPk) { + key esk; + //compute shared secret + skpkGen(esk, unmasked.senderPk); + key sharedSec1 = hash_to_scalar(scalarmultKey(receiverPk, esk)); + key sharedSec2 = hash_to_scalar(sharedSec1); + //encode + sc_add(unmasked.mask.bytes, unmasked.mask.bytes, sharedSec1.bytes); + sc_add(unmasked.amount.bytes, unmasked.amount.bytes, sharedSec2.bytes); + } + void ecdhDecode(ecdhTuple & masked, const key & receiverSk) { + //compute shared secret + key sharedSec1 = hash_to_scalar(scalarmultKey(masked.senderPk, receiverSk)); + key sharedSec2 = hash_to_scalar(sharedSec1); + //encode + sc_sub(masked.mask.bytes, masked.mask.bytes, sharedSec1.bytes); + sc_sub(masked.amount.bytes, masked.amount.bytes, sharedSec2.bytes); + } +} diff --git a/src/ringct/rctOps.h b/src/ringct/rctOps.h new file mode 100644 index 000000000..e232dba29 --- /dev/null +++ b/src/ringct/rctOps.h @@ -0,0 +1,163 @@ +//#define DBG +// Copyright (c) 2016, Monero Research Labs +// +// Author: Shen Noether +// +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without modification, are +// permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this list of +// conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, this list +// of conditions and the following disclaimer in the documentation and/or other +// materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its contributors may be +// used to endorse or promote products derived from this software without specific +// prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +#pragma once + +#ifndef RCTOPS_H +#define RCTOPS_H + +#include +#include +#include +#include + +#include "crypto/generic-ops.h" + +extern "C" { +#include "crypto/random.h" +#include "crypto/keccak.h" +#include "rctCryptoOps.h" +} +#include "crypto/crypto.h" + +#include "rctTypes.h" + +//Define this flag when debugging to get additional info on the console +#ifdef DBG +#define DP(x) dp(x) +#else +#define DP(x) +#endif + +using namespace std; +using namespace crypto; + +namespace rct { + + //Various key initialization functions + + //Creates a zero scalar + key zero(); + void zero(key &z); + //Creates a zero elliptic curve point + key identity(); + void identity(key &Id); + //copies a scalar or point + void copy(key &AA, const key &A); + key copy(const key & AA); + //initializes a key matrix; + //first parameter is rows, + //second is columns + keyM keyMInit(int, int); + + //Various key generation functions + + //generates a random scalar which can be used as a secret key or mask + key skGen(); + void skGen(key &); + + //generates a vector of secret keys of size "int" + keyV skvGen(int ); + + //generates a random curve point (for testing) + key pkGen(); + //generates a random secret and corresponding public key + void skpkGen(key &sk, key &pk); + tuple skpkGen(); + //generates a / Pedersen commitment to the amount + tuple ctskpkGen(xmr_amount amount); + //this one is mainly for testing, can take arbitrary amounts.. + tuple ctskpkGen(key bH); + //generates a random uint long long + xmr_amount randXmrAmount(xmr_amount upperlimit); + + //Scalar multiplications of curve points + + //does a * G where a is a scalar and G is the curve basepoint + void scalarmultBase(key & aG, const key &a); + key scalarmultBase(const key & a); + //does a * P where a is a scalar and P is an arbitrary point + void scalarmultKey(key &aP, const key &P, const key &a); + key scalarmultKey(const key &P, const key &a); + //Computes aH where H= toPoint(cn_fast_hash(G)), G the basepoint + key scalarmultH(const key & a); + + //Curve addition / subtractions + + //for curve points: AB = A + B + void addKeys(key &AB, const key &A, const key &B); + //aGB = aG + B where a is a scalar, G is the basepoint, and B is a point + void addKeys1(key &aGB, const key &a, const key & B); + //aGbB = aG + bB where a, b are scalars, G is the basepoint and B is a point + void addKeys2(key &aGbB, const key &a, const key &b, const key &B); + //Does some precomputation to make addKeys3 more efficient + // input B a curve point and output a ge_dsmp which has precomputation applied + void precomp(ge_dsmp rv, const key &B); + //aAbB = a*A + b*B where a, b are scalars, A, B are curve points + //B must be input after applying "precomp" + void addKeys3(key &aAbB, const key &a, const key &A, const key &b, const ge_dsmp B); + //AB = A - B where A, B are curve points + void subKeys(key &AB, const key &A, const key &B); + //checks if A, B are equal as curve points + bool equalKeys(const key & A, const key & B); + + //Hashing - cn_fast_hash + //be careful these are also in crypto namespace + //cn_fast_hash for arbitrary l multiples of 32 bytes + void cn_fast_hash(key &hash, const void * data, const size_t l); + void hash_to_scalar(key &hash, const void * data, const size_t l); + //cn_fast_hash for a 32 byte key + void cn_fast_hash(key &hash, const key &in); + void hash_to_scalar(key &hash, const key &in); + //cn_fast_hash for a 32 byte key + key cn_fast_hash(const key &in); + key hash_to_scalar(const key &in); + //for mg sigs + key cn_fast_hash128(const void * in); + key hash_to_scalar128(const void * in); + key cn_fast_hash(ctkeyV PC); + key hash_to_scalar(ctkeyV PC); + + //returns hashToPoint as described in https://github.com/ShenNoether/ge_fromfe_writeup + key hashToPointSimple(const key &in); + key hashToPoint(const key &in); + key hashToPoint2(const key &in); + void hashToPoint(key &out, const key &in); + + //sums a vector of curve points (for scalars use sc_add) + void sumKeys(key & Csum, const key &Cis); + + //Elliptic Curve Diffie Helman: encodes and decodes the amount b and mask a + // where C= aG + bH + void ecdhEncode(ecdhTuple & unmasked, const key & receiverPk); + void ecdhDecode(ecdhTuple & masked, const key & receiverSk); +} +#endif /* RCTOPS_H */ diff --git a/src/ringct/rctSigs.cpp b/src/ringct/rctSigs.cpp new file mode 100644 index 000000000..d26678165 --- /dev/null +++ b/src/ringct/rctSigs.cpp @@ -0,0 +1,533 @@ +// Copyright (c) 2016, Monero Research Labs +// +// Author: Shen Noether +// +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without modification, are +// permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this list of +// conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, this list +// of conditions and the following disclaimer in the documentation and/or other +// materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its contributors may be +// used to endorse or promote products derived from this software without specific +// prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +#include "rctSigs.h" +using namespace crypto; +using namespace std; + +namespace rct { + + //Schnorr Non-linkable + //Gen Gives a signature (L1, s1, s2) proving that the sender knows "x" such that xG = one of P1 or P2 + //Ver Verifies that signer knows an "x" such that xG = one of P1 or P2 + //These are called in the below ASNL sig generation + + void GenSchnorrNonLinkable(key & L1, key & s1, key & s2, const key & x, const key & P1, const key & P2, int index) { + key c1, c2, L2; + key a = skGen(); + if (index == 0) { + scalarmultBase(L1, a); + hash_to_scalar(c2, L1); + skGen(s2); + addKeys2(L2, s2, c2, P2); + hash_to_scalar(c1, L2); + sc_mulsub(s1.bytes, x.bytes, c1.bytes, a.bytes); + } + if (index == 1) { + scalarmultBase(L2, a); + skGen(s1); + hash_to_scalar(c1, L2); + addKeys2(L1, s1, c1, P1); + hash_to_scalar(c2, L1); + sc_mulsub(s2.bytes, x.bytes, c2.bytes, a.bytes); + } + } + + //Schnorr Non-linkable + //Gen Gives a signature (L1, s1, s2) proving that the sender knows "x" such that xG = one of P1 or P2 + //Ver Verifies that signer knows an "x" such that xG = one of P1 or P2 + //These are called in the below ASNL sig generation + bool VerSchnorrNonLinkable(const key & P1, const key & P2, const key & L1, const key & s1, const key & s2) { + key c2, L2, c1, L1p; + hash_to_scalar(c2, L1); + addKeys2(L2, s2, c2, P2); + hash_to_scalar(c1, L2); + addKeys2(L1p, s1, c1, P1); + + return equalKeys(L1, L1p); + } + + //Aggregate Schnorr Non-linkable Ring Signature (ASNL) + // c.f. http://eprint.iacr.org/2015/1098 section 5. + // These are used in range proofs (alternatively Borromean could be used) + // Gen gives a signature which proves the signer knows, for each i, + // an x[i] such that x[i]G = one of P1[i] or P2[i] + // Ver Verifies the signer knows a key for one of P1[i], P2[i] at each i + asnlSig GenASNL(key64 x, key64 P1, key64 P2, bits indices) { + DP("Generating Aggregate Schnorr Non-linkable Ring Signature\n"); + key64 s1; + int j = 0; + asnlSig rv; + rv.s = zero(); + for (j = 0; j < ATOMS; j++) { + //void GenSchnorrNonLinkable(Bytes L1, Bytes s1, Bytes s2, const Bytes x, const Bytes P1,const Bytes P2, int index) { + GenSchnorrNonLinkable(rv.L1[j], s1[j], rv.s2[j], x[j], P1[j], P2[j], (int)indices[j]); + sc_add(rv.s.bytes, rv.s.bytes, s1[j].bytes); + } + return rv; + } + + //Aggregate Schnorr Non-linkable Ring Signature (ASNL) + // c.f. http://eprint.iacr.org/2015/1098 section 5. + // These are used in range proofs (alternatively Borromean could be used) + // Gen gives a signature which proves the signer knows, for each i, + // an x[i] such that x[i]G = one of P1[i] or P2[i] + // Ver Verifies the signer knows a key for one of P1[i], P2[i] at each i + bool VerASNL(key64 P1, key64 P2, asnlSig &as) { + DP("Verifying Aggregate Schnorr Non-linkable Ring Signature\n"); + key LHS = identity(); + key RHS = scalarmultBase(as.s); + key c2, L2, c1; + int j = 0; + for (j = 0; j < ATOMS; j++) { + hash_to_scalar(c2, as.L1[j]); + addKeys2(L2, as.s2[j], c2, P2[j]); + addKeys(LHS, LHS, as.L1[j]); + hash_to_scalar(c1, L2); + addKeys(RHS, RHS, scalarmultKey(P1[j], c1)); + } + key cc; + sc_sub(cc.bytes, LHS.bytes, RHS.bytes); + DP(cc); + return sc_isnonzero(cc.bytes) == 0; + } + + //Multilayered Spontaneous Anonymous Group Signatures (MLSAG signatures) + //These are aka MG signatutes in earlier drafts of the ring ct paper + // c.f. http://eprint.iacr.org/2015/1098 section 2. + // keyImageV just does I[i] = xx[i] * Hash(xx[i] * G) for each i + // Gen creates a signature which proves that for some column in the keymatrix "pk" + // the signer knows a secret key for each row in that column + // Ver verifies that the MG sig was created correctly + keyV keyImageV(const keyV &xx) { + keyV II(xx.size()); + size_t i = 0; + for (i = 0; i < xx.size(); i++) { + II[i] = scalarmultKey(hashToPoint(scalarmultBase(xx[i])), xx[i]); + } + return II; + } + + + //Multilayered Spontaneous Anonymous Group Signatures (MLSAG signatures) + //This is a just slghtly more efficient version than the ones described below + //(will be explained in more detail in Ring Multisig paper + //These are aka MG signatutes in earlier drafts of the ring ct paper + // c.f. http://eprint.iacr.org/2015/1098 section 2. + // keyImageV just does I[i] = xx[i] * Hash(xx[i] * G) for each i + // Gen creates a signature which proves that for some column in the keymatrix "pk" + // the signer knows a secret key for each row in that column + // Ver verifies that the MG sig was created correctly + mgSig MLSAG_Gen(key message, const keyM & pk, const keyV & xx, const int index) { + mgSig rv; + int rows = pk[0].size(); + int cols = pk.size(); + if (cols < 2) { + printf("Error! What is c if cols = 1!"); + } + int i = 0, j = 0; + key c, c_old, L, R, Hi; + sc_0(c_old.bytes); + vector Ip(rows); + rv.II = keyV(rows); + rv.ss = keyM(cols, rv.II); + keyV alpha(rows); + keyV aG(rows); + keyV aHP(rows); + key m2hash; + unsigned char m2[128]; + memcpy(m2, message.bytes, 32); + DP("here1"); + for (i = 0; i < rows; i++) { + skpkGen(alpha[i], aG[i]); //need to save alphas for later.. + Hi = hashToPoint(pk[index][i]); + aHP[i] = scalarmultKey(Hi, alpha[i]); + memcpy(m2+32, pk[index][i].bytes, 32); + memcpy(m2 + 64, aG[i].bytes, 32); + memcpy(m2 + 96, aHP[i].bytes, 32); + rv.II[i] = scalarmultKey(Hi, xx[i]); + precomp(Ip[i].k, rv.II[i]); + m2hash = hash_to_scalar128(m2); + sc_add(c_old.bytes, c_old.bytes, m2hash.bytes); + } + + i = (index + 1) % cols; + if (i == 0) { + copy(rv.cc, c_old); + } + while (i != index) { + + rv.ss[i] = skvGen(rows); + sc_0(c.bytes); + for (j = 0; j < rows; j++) { + addKeys2(L, rv.ss[i][j], c_old, pk[i][j]); + hashToPoint(Hi, pk[i][j]); + addKeys3(R, rv.ss[i][j], Hi, c_old, Ip[j].k); + memcpy(m2+32, pk[i][j].bytes, 32); + memcpy(m2 + 64, L.bytes, 32); + memcpy(m2 + 96, R.bytes, 32); + m2hash = hash_to_scalar128(m2); + sc_add(c.bytes, c.bytes, m2hash.bytes); + } + copy(c_old, c); + i = (i + 1) % cols; + + if (i == 0) { + copy(rv.cc, c_old); + } + } + for (j = 0; j < rows; j++) { + sc_mulsub(rv.ss[index][j].bytes, c.bytes, xx[j].bytes, alpha[j].bytes); + } + return rv; + } + + //Multilayered Spontaneous Anonymous Group Signatures (MLSAG signatures) + //This is a just slghtly more efficient version than the ones described below + //(will be explained in more detail in Ring Multisig paper + //These are aka MG signatutes in earlier drafts of the ring ct paper + // c.f. http://eprint.iacr.org/2015/1098 section 2. + // keyImageV just does I[i] = xx[i] * Hash(xx[i] * G) for each i + // Gen creates a signature which proves that for some column in the keymatrix "pk" + // the signer knows a secret key for each row in that column + // Ver verifies that the MG sig was created correctly + bool MLSAG_Ver(key message, keyM & pk, mgSig & rv) { + + int rows = pk[0].size(); + int cols = pk.size(); + if (cols < 2) { + printf("Error! What is c if cols = 1!"); + } + int i = 0, j = 0; + key c, L, R, Hi; + key c_old = copy(rv.cc); + vector Ip(rows); + for (i= 0 ; i< rows ; i++) { + precomp(Ip[i].k, rv.II[i]); + } + unsigned char m2[128]; + memcpy(m2, message.bytes, 32); + + key m2hash; + i = 0; + while (i < cols) { + sc_0(c.bytes); + for (j = 0; j < rows; j++) { + addKeys2(L, rv.ss[i][j], c_old, pk[i][j]); + hashToPoint(Hi, pk[i][j]); + addKeys3(R, rv.ss[i][j], Hi, c_old, Ip[j].k); + memcpy(m2 + 32, pk[i][j].bytes, 32); + memcpy(m2 + 64, L.bytes, 32); + memcpy(m2 + 96, R.bytes, 32); + m2hash = hash_to_scalar128(m2); + sc_add(c.bytes, c.bytes, m2hash.bytes); + } + copy(c_old, c); + i = (i + 1); + } + DP("c0"); + DP(rv.cc); + DP("c_old"); + DP(c_old); + sc_sub(c.bytes, c_old.bytes, rv.cc.bytes); + return sc_isnonzero(c.bytes) == 0; + } + + + + //proveRange and verRange + //proveRange gives C, and mask such that \sumCi = C + // c.f. http://eprint.iacr.org/2015/1098 section 5.1 + // and Ci is a commitment to either 0 or 2^i, i=0,...,63 + // thus this proves that "amount" is in [0, 2^64] + // mask is a such that C = aG + bH, and b = amount + //verRange verifies that \sum Ci = C and that each Ci is a commitment to 0 or 2^i + rangeSig proveRange(key & C, key & mask, const xmr_amount & amount) { + sc_0(mask.bytes); + identity(C); + bits b; + d2b(b, amount); + rangeSig sig; + key64 ai; + key64 CiH; + int i = 0; + for (i = 0; i < ATOMS; i++) { + sc_0(ai[i].bytes); + if (b[i] == 0) { + scalarmultBase(sig.Ci[i], ai[i]); + } + if (b[i] == 1) { + addKeys1(sig.Ci[i], ai[i], H2[i]); + } + subKeys(CiH[i], sig.Ci[i], H2[i]); + sc_add(mask.bytes, mask.bytes, ai[i].bytes); + addKeys(C, C, sig.Ci[i]); + } + sig.asig = GenASNL(ai, sig.Ci, CiH, b); + return sig; + } + + //proveRange and verRange + //proveRange gives C, and mask such that \sumCi = C + // c.f. http://eprint.iacr.org/2015/1098 section 5.1 + // and Ci is a commitment to either 0 or 2^i, i=0,...,63 + // thus this proves that "amount" is in [0, 2^64] + // mask is a such that C = aG + bH, and b = amount + //verRange verifies that \sum Ci = C and that each Ci is a commitment to 0 or 2^i + bool verRange(key & C, rangeSig & as) { + key64 CiH; + int i = 0; + key Ctmp = identity(); + for (i = 0; i < 64; i++) { + subKeys(CiH[i], as.Ci[i], H2[i]); + addKeys(Ctmp, Ctmp, as.Ci[i]); + } + bool reb = equalKeys(C, Ctmp); + DP("is sum Ci = C:"); + DP(reb); + bool rab = VerASNL(as.Ci, CiH, as.asig); + DP("Is in range?"); + DP(rab); + return (reb && rab); + } + + //Ring-ct MG sigs + //Prove: + // c.f. http://eprint.iacr.org/2015/1098 section 4. definition 10. + // This does the MG sig on the "dest" part of the given key matrix, and + // the last row is the sum of input commitments from that column - sum output commitments + // this shows that sum inputs = sum outputs + //Ver: + // verifies the above sig is created corretly + mgSig proveRctMG(const ctkeyM & pubs, const ctkeyV & inSk, const ctkeyV &outSk, const ctkeyV & outPk, int index) { + mgSig mg; + //setup vars + int rows = pubs[0].size(); + int cols = pubs.size(); + keyV sk(rows + 1); + keyV tmp(rows + 1); + int i = 0, j = 0; + for (i = 0; i < rows + 1; i++) { + sc_0(sk[i].bytes); + identity(tmp[i]); + } + keyM M(cols, tmp); + //create the matrix to mg sig + for (i = 0; i < cols; i++) { + M[i][rows] = identity(); + for (j = 0; j < rows; j++) { + M[i][j] = pubs[i][j].dest; + addKeys(M[i][rows], M[i][rows], pubs[i][j].mask); + } + } + sc_0(sk[rows].bytes); + for (j = 0; j < rows; j++) { + sk[j] = copy(inSk[j].dest); + sc_add(sk[rows].bytes, sk[rows].bytes, inSk[j].mask.bytes); + } + for (i = 0; i < cols; i++) { + for (size_t j = 0; j < outPk.size(); j++) { + subKeys(M[i][rows], M[i][rows], outPk[j].mask); + } + } + for (size_t j = 0; j < outPk.size(); j++) { + sc_sub(sk[rows].bytes, sk[rows].bytes, outSk[j].mask.bytes); + } + key message = cn_fast_hash(outPk); + return MLSAG_Gen(message, M, sk, index); + } + + + //Ring-ct MG sigs + //Prove: + // c.f. http://eprint.iacr.org/2015/1098 section 4. definition 10. + // This does the MG sig on the "dest" part of the given key matrix, and + // the last row is the sum of input commitments from that column - sum output commitments + // this shows that sum inputs = sum outputs + //Ver: + // verifies the above sig is created corretly + bool verRctMG(mgSig mg, ctkeyM & pubs, ctkeyV & outPk) { + //setup vars + int rows = pubs[0].size(); + int cols = pubs.size(); + keyV tmp(rows + 1); + int i = 0, j = 0; + for (i = 0; i < rows + 1; i++) { + identity(tmp[i]); + } + keyM M(cols, tmp); + + //create the matrix to mg sig + for (j = 0; j < rows; j++) { + for (i = 0; i < cols; i++) { + M[i][j] = pubs[i][j].dest; + addKeys(M[i][rows], M[i][rows], pubs[i][j].mask); + } + } + for (size_t j = 0; j < outPk.size(); j++) { + for (i = 0; i < cols; i++) { + subKeys(M[i][rows], M[i][rows], outPk[j].mask); + } + + } + key message = cn_fast_hash(outPk); + DP("message:"); + DP(message); + return MLSAG_Ver(message, M, mg); + + } + + //These functions get keys from blockchain + //replace these when connecting blockchain + //getKeyFromBlockchain grabs a key from the blockchain at "reference_index" to mix with + //populateFromBlockchain creates a keymatrix with "mixin" columns and one of the columns is inPk + // the return value are the key matrix, and the index where inPk was put (random). + void getKeyFromBlockchain(ctkey & a, size_t reference_index) { + a.mask = pkGen(); + a.dest = pkGen(); + } + + //These functions get keys from blockchain + //replace these when connecting blockchain + //getKeyFromBlockchain grabs a key from the blockchain at "reference_index" to mix with + //populateFromBlockchain creates a keymatrix with "mixin" columns and one of the columns is inPk + // the return value are the key matrix, and the index where inPk was put (random). + tuple populateFromBlockchain(ctkeyV inPk, int mixin) { + int rows = inPk.size(); + ctkeyM rv(mixin, inPk); + int index = randXmrAmount(mixin); + int i = 0, j = 0; + for (i = 0; i < mixin; i++) { + if (i != index) { + for (j = 0; j < rows; j++) { + getKeyFromBlockchain(rv[i][j], (size_t)randXmrAmount); + } + } + } + return make_tuple(rv, index); + } + + //RingCT protocol + //genRct: + // creates an rctSig with all data necessary to verify the rangeProofs and that the signer owns one of the + // columns that are claimed as inputs, and that the sum of inputs = sum of outputs. + // Also contains masked "amount" and "mask" so the receiver can see how much they received + //verRct: + // verifies that all signatures (rangeProogs, MG sig, sum inputs = outputs) are correct + //decodeRct: (c.f. http://eprint.iacr.org/2015/1098 section 5.1.1) + // uses the attached ecdh info to find the amounts represented by each output commitment + // must know the destination private key to find the correct amount, else will return a random number + rctSig genRct(ctkeyV & inSk, ctkeyV & inPk, const keyV & destinations, const vector amounts, const int mixin) { + rctSig rv; + rv.outPk.resize(destinations.size()); + rv.rangeSigs.resize(destinations.size()); + rv.ecdhInfo.resize(destinations.size()); + + size_t i = 0; + keyV masks(destinations.size()); //sk mask.. + ctkeyV outSk(destinations.size()); + for (i = 0; i < destinations.size(); i++) { + //add destination to sig + rv.outPk[i].dest = copy(destinations[i]); + //compute range proof + rv.rangeSigs[i] = proveRange(rv.outPk[i].mask, outSk[i].mask, amounts[i]); + #ifdef DBG + verRange(rv.outPk[i].mask, rv.rangeSigs[i]); + #endif + + //mask amount and mask + rv.ecdhInfo[i].mask = copy(outSk[i].mask); + rv.ecdhInfo[i].amount = d2h(amounts[i]); + ecdhEncode(rv.ecdhInfo[i], destinations[i]); + + } + + int index; + tie(rv.mixRing, index) = populateFromBlockchain(inPk, mixin); + rv.MG = proveRctMG(rv.mixRing, inSk, outSk, rv.outPk, index); + return rv; + } + + //RingCT protocol + //genRct: + // creates an rctSig with all data necessary to verify the rangeProofs and that the signer owns one of the + // columns that are claimed as inputs, and that the sum of inputs = sum of outputs. + // Also contains masked "amount" and "mask" so the receiver can see how much they received + //verRct: + // verifies that all signatures (rangeProogs, MG sig, sum inputs = outputs) are correct + //decodeRct: (c.f. http://eprint.iacr.org/2015/1098 section 5.1.1) + // uses the attached ecdh info to find the amounts represented by each output commitment + // must know the destination private key to find the correct amount, else will return a random number + bool verRct(rctSig & rv) { + size_t i = 0; + bool rvb = true; + bool tmp; + DP("range proofs verified?"); + for (i = 0; i < rv.outPk.size(); i++) { + tmp = verRange(rv.outPk[i].mask, rv.rangeSigs[i]); + DP(tmp); + rvb = (rvb && tmp); + } + bool mgVerd = verRctMG(rv.MG, rv.mixRing, rv.outPk); + DP("mg sig verified?"); + DP(mgVerd); + + return (rvb && mgVerd); + } + + //RingCT protocol + //genRct: + // creates an rctSig with all data necessary to verify the rangeProofs and that the signer owns one of the + // columns that are claimed as inputs, and that the sum of inputs = sum of outputs. + // Also contains masked "amount" and "mask" so the receiver can see how much they received + //verRct: + // verifies that all signatures (rangeProogs, MG sig, sum inputs = outputs) are correct + //decodeRct: (c.f. http://eprint.iacr.org/2015/1098 section 5.1.1) + // uses the attached ecdh info to find the amounts represented by each output commitment + // must know the destination private key to find the correct amount, else will return a random number + xmr_amount decodeRct(rctSig & rv, key & sk, int i) { + //mask amount and mask + ecdhDecode(rv.ecdhInfo[i], sk); + key mask = rv.ecdhInfo[i].mask; + key amount = rv.ecdhInfo[i].amount; + key C = rv.outPk[i].mask; + DP("C"); + DP(C); + key Ctmp; + addKeys2(Ctmp, mask, amount, H); + DP("Ctmp"); + DP(Ctmp); + if (equalKeys(C, Ctmp) == false) { + printf("warning, amount decoded incorrectly, will be unable to spend"); + } + return h2d(amount); + } + +} diff --git a/src/ringct/rctSigs.h b/src/ringct/rctSigs.h new file mode 100644 index 000000000..e25e98852 --- /dev/null +++ b/src/ringct/rctSigs.h @@ -0,0 +1,144 @@ +// Copyright (c) 2016, Monero Research Labs +// +// Author: Shen Noether +// +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without modification, are +// permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this list of +// conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, this list +// of conditions and the following disclaimer in the documentation and/or other +// materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its contributors may be +// used to endorse or promote products derived from this software without specific +// prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +#pragma once + +//#define DBG + +#ifndef RCTSIGS_H +#define RCTSIGS_H + +#include +#include +#include +#include + +#include "crypto/generic-ops.h" + +extern "C" { +#include "crypto/random.h" +#include "crypto/keccak.h" +} +#include "crypto/crypto.h" + + +#include "rctTypes.h" +#include "rctOps.h" + +//Define this flag when debugging to get additional info on the console +#ifdef DBG +#define DP(x) dp(x) +#else +#define DP(x) +#endif + + + +using namespace std; +using namespace crypto; + +namespace rct { + + //Schnorr Non-linkable + //Gen Gives a signature (L1, s1, s2) proving that the sender knows "x" such that xG = one of P1 or P2 + //Ver Verifies that signer knows an "x" such that xG = one of P1 or P2 + //These are called in the below ASNL sig generation + void GenSchnorrNonLinkable(key & L1, key & s1, key & s2, const key & x, const key & P1, const key & P2, int index); + bool VerSchnorrNonLinkable(const key & P1, const key & P2, const key & L1, const key & s1, const key & s2); + + //Aggregate Schnorr Non-linkable Ring Signature (ASNL) + // c.f. http://eprint.iacr.org/2015/1098 section 5. + // These are used in range proofs (alternatively Borromean could be used) + // Gen gives a signature which proves the signer knows, for each i, + // an x[i] such that x[i]G = one of P1[i] or P2[i] + // Ver Verifies the signer knows a key for one of P1[i], P2[i] at each i + asnlSig GenASNL(key64 x, key64 P1, key64 P2, bits indices); + bool VerASNL(key64 P1, key64 P2, asnlSig &as); + + //Multilayered Spontaneous Anonymous Group Signatures (MLSAG signatures) + //These are aka MG signatutes in earlier drafts of the ring ct paper + // c.f. http://eprint.iacr.org/2015/1098 section 2. + // keyImageV just does I[i] = xx[i] * HashToPoint(xx[i] * G) for each i + // Gen creates a signature which proves that for some column in the keymatrix "pk" + // the signer knows a secret key for each row in that column + // Ver verifies that the MG sig was created correctly + keyV keyImageV(const keyV &xx); + mgSig MLSAG_Gen(key message, const keyM & pk, const keyV & xx, const int index); + bool MLSAG_Ver(key message, keyM &pk, mgSig &sig); + //mgSig MLSAG_Gen_Old(const keyM & pk, const keyV & xx, const int index); + + //proveRange and verRange + //proveRange gives C, and mask such that \sumCi = C + // c.f. http://eprint.iacr.org/2015/1098 section 5.1 + // and Ci is a commitment to either 0 or 2^i, i=0,...,63 + // thus this proves that "amount" is in [0, 2^64] + // mask is a such that C = aG + bH, and b = amount + //verRange verifies that \sum Ci = C and that each Ci is a commitment to 0 or 2^i + rangeSig proveRange(key & C, key & mask, const xmr_amount & amount); + bool verRange(key & C, rangeSig & as); + + //Ring-ct MG sigs + //Prove: + // c.f. http://eprint.iacr.org/2015/1098 section 4. definition 10. + // This does the MG sig on the "dest" part of the given key matrix, and + // the last row is the sum of input commitments from that column - sum output commitments + // this shows that sum inputs = sum outputs + //Ver: + // verifies the above sig is created corretly + mgSig proveRctMG(const ctkeyM & pubs, const ctkeyV & inSk, const keyV &outMasks, const ctkeyV & outPk, int index); + bool verRctMG(mgSig mg, ctkeyM & pubs, ctkeyV & outPk); + + //These functions get keys from blockchain + //replace these when connecting blockchain + //getKeyFromBlockchain grabs a key from the blockchain at "reference_index" to mix with + //populateFromBlockchain creates a keymatrix with "mixin" columns and one of the columns is inPk + // the return value are the key matrix, and the index where inPk was put (random). + void getKeyFromBlockchain(ctkey & a, size_t reference_index); + tuple populateFromBlockchain(ctkeyV inPk, int mixin); + + //RingCT protocol + //genRct: + // creates an rctSig with all data necessary to verify the rangeProofs and that the signer owns one of the + // columns that are claimed as inputs, and that the sum of inputs = sum of outputs. + // Also contains masked "amount" and "mask" so the receiver can see how much they received + //verRct: + // verifies that all signatures (rangeProogs, MG sig, sum inputs = outputs) are correct + //decodeRct: (c.f. http://eprint.iacr.org/2015/1098 section 5.1.1) + // uses the attached ecdh info to find the amounts represented by each output commitment + // must know the destination private key to find the correct amount, else will return a random number + rctSig genRct(ctkeyV & inSk, ctkeyV & inPk, const keyV & destinations, const vector amounts, const int mixin); + bool verRct(rctSig & rv); + xmr_amount decodeRct(rctSig & rv, key & sk, int i); + + + +} +#endif /* RCTSIGS_H */ + diff --git a/src/ringct/rctTypes.cpp b/src/ringct/rctTypes.cpp new file mode 100644 index 000000000..b7979b0e7 --- /dev/null +++ b/src/ringct/rctTypes.cpp @@ -0,0 +1,209 @@ +// Copyright (c) 2016, Monero Research Labs +// +// Author: Shen Noether +// +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without modification, are +// permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this list of +// conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, this list +// of conditions and the following disclaimer in the documentation and/or other +// materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its contributors may be +// used to endorse or promote products derived from this software without specific +// prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +#include "rctTypes.h" +using namespace crypto; +using namespace std; + +namespace rct { + + //dp + //Debug printing for the above types + //Actually use DP(value) and #define DBG + + void dp(key a) { + int j = 0; + printf("\""); + for (j = 0; j < 32; j++) { + printf("%02x", (unsigned char)a.bytes[j]); + } + printf("\""); + printf("\n"); + } + + void dp(bool a) { + printf(" ... %s ... ", a ? "true" : "false"); + printf("\n"); + } + + void dp(const char * a, int l) { + int j = 0; + printf("\""); + for (j = 0; j < l; j++) { + printf("%02x", (unsigned char)a[j]); + } + printf("\""); + printf("\n"); + } + void dp(keyV a) { + size_t j = 0; + printf("["); + for (j = 0; j < a.size(); j++) { + dp(a[j]); + if (j < a.size() - 1) { + printf(","); + } + } + printf("]"); + printf("\n"); + } + void dp(keyM a) { + size_t j = 0; + printf("["); + for (j = 0; j < a.size(); j++) { + dp(a[j]); + if (j < a.size() - 1) { + printf(","); + } + } + printf("]"); + printf("\n"); + } + void dp(xmr_amount vali) { + printf("x: "); + std::cout << vali; + printf("\n\n"); + } + + void dp(int vali) { + printf("x: %d\n", vali); + printf("\n"); + } + void dp(bits amountb) { + for (int i = 0; i < 64; i++) { + printf("%d", amountb[i]); + } + printf("\n"); + + } + + void dp(const char * st) { + printf("%s\n", st); + } + + //Various Conversions + + //uint long long to 32 byte key + void d2h(key & amounth, const xmr_amount in) { + sc_0(amounth.bytes); + xmr_amount val = in; + int i = 0; + while (val != 0) { + amounth[i] = (unsigned char)(val & 0xFF); + i++; + val /= (xmr_amount)256; + } + } + + //uint long long to 32 byte key + key d2h(const xmr_amount in) { + key amounth; + sc_0(amounth.bytes); + xmr_amount val = in; + int i = 0; + while (val != 0) { + amounth[i] = (unsigned char)(val & 0xFF); + i++; + val /= (xmr_amount)256; + } + return amounth; + } + + //uint long long to int[64] + void d2b(bits amountb, xmr_amount val) { + int i = 0; + while (val != 0) { + amountb[i] = val & 1; + i++; + val >>= 1; + } + while (i < 64) { + amountb[i] = 0; + i++; + } + } + + //32 byte key to uint long long + // if the key holds a value > 2^64 + // then the value in the first 8 bytes is returned + xmr_amount h2d(const key & test) { + xmr_amount vali = 0; + int j = 0; + for (j = 7; j >= 0; j--) { + vali = (xmr_amount)(vali * 256 + (unsigned char)test.bytes[j]); + } + return vali; + } + + //32 byte key to int[64] + void h2b(bits amountb2, const key & test) { + int val = 0, i = 0, j = 0; + for (j = 0; j < 8; j++) { + val = (unsigned char)test.bytes[j]; + i = 8 * j; + while (val != 0) { + amountb2[i] = val & 1; + i++; + val >>= 1; + } + while (i < 8 * (j + 1)) { + amountb2[i] = 0; + } + } + } + + //int[64] to 32 byte key + void b2h(key & amountdh, const bits amountb2) { + int byte, i, j; + for (j = 0; j < 8; j++) { + byte = 0; + //val = (unsigned char) test[j]; + i = 8 * j; + for (i = 7; i > -1; i--) { + byte = byte * 2 + amountb2[8 * j + i]; + } + amountdh[j] = (unsigned char)byte; + } + for (j = 8; j < 32; j++) { + amountdh[j] = (unsigned char)(0x00); + } + } + + //int[64] to uint long long + xmr_amount b2d(bits amountb) { + xmr_amount vali = 0; + int j = 0; + for (j = 63; j >= 0; j--) { + vali = (xmr_amount)(vali * 2 + amountb[j]); + } + return vali; + } + +} diff --git a/src/ringct/rctTypes.h b/src/ringct/rctTypes.h new file mode 100644 index 000000000..f3e8cb98a --- /dev/null +++ b/src/ringct/rctTypes.h @@ -0,0 +1,267 @@ +// Copyright (c) 2016, Monero Research Labs +// +// Author: Shen Noether +// +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without modification, are +// permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this list of +// conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, this list +// of conditions and the following disclaimer in the documentation and/or other +// materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its contributors may be +// used to endorse or promote products derived from this software without specific +// prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +#pragma once +#ifndef RCT_TYPES_H +#define RCT_TYPES_H + +#include +#include +#include +#include +#include +#include + +extern "C" { +#include "crypto/generic-ops.h" +#include "crypto/crypto-ops.h" +#include "crypto/random.h" +#include "crypto/keccak.h" +} +#include "crypto/crypto.h" + +//Define this flag when debugging to get additional info on the console +#ifdef DBG +#define DP(x) dp(x) +#else +#define DP(x) +#endif + +//atomic units of moneros +#define ATOMS 64 + +//for printing large ints + +using namespace std; +using namespace crypto; + +//Namespace specifically for ring ct code +namespace rct { + //basic ops containers + typedef unsigned char * Bytes; + + // Can contain a secret or public key + // similar to secret_key / public_key of crypto-ops, + // but uses unsigned chars, + // also includes an operator for accessing the i'th byte. + struct key { + unsigned char & operator[](int i) { + return bytes[i]; + } + unsigned char bytes[32]; + }; + typedef vector keyV; //vector of keys + typedef vector keyM; //matrix of keys (indexed by column first) + + //containers For CT operations + //if it's representing a private ctkey then "dest" contains the secret key of the address + // while "mask" contains a where C = aG + bH is CT pedersen commitment and b is the amount + // (store b, the amount, separately + //if it's representing a public ctkey, then "dest" = P the address, mask = C the commitment + struct ctkey { + key dest; + key mask; //C here if public + }; + typedef vector ctkeyV; + typedef vector ctkeyM; + + //data for passing the amount to the receiver secretly + // If the pedersen commitment to an amount is C = aG + bH, + // "mask" contains a 32 byte key a + // "amount" contains a hex representation (in 32 bytes) of a 64 bit number + // "senderPk" is not the senders actual public key, but a one-time public key generated for + // the purpose of the ECDH exchange + struct ecdhTuple { + key mask; + key amount; + key senderPk; + }; + + //containers for representing amounts + typedef uint64_t xmr_amount; + typedef unsigned int bits[ATOMS]; + typedef key key64[64]; + + //just contains the necessary keys to represent asnlSigs + //c.f. http://eprint.iacr.org/2015/1098 + struct asnlSig { + key64 L1; + key64 s2; + key s; + }; + + //Container for precomp + struct geDsmp { + ge_dsmp k; + }; + + //just contains the necessary keys to represent MLSAG sigs + //c.f. http://eprint.iacr.org/2015/1098 + struct mgSig { + keyM ss; + key cc; + keyV II; + }; + //contains the data for an asnl sig + // also contains the "Ci" values such that + // \sum Ci = C + // and the signature proves that each Ci is either + // a Pedersen commitment to 0 or to 2^i + //thus proving that C is in the range of [0, 2^64] + struct rangeSig { + asnlSig asig; + key64 Ci; + }; + //A container to hold all signatures necessary for RingCT + // rangeSigs holds all the rangeproof data of a transaction + // MG holds the MLSAG signature of a transaction + // mixRing holds all the public keypairs (P, C) for a transaction + // ecdhInfo holds an encoded mask / amount to be passed to each receiver + // outPk contains public keypairs which are destinations (P, C), + // P = address, C = commitment to amount + struct rctSig { + vector rangeSigs; + mgSig MG; + ctkeyM mixRing; //the set of all pubkeys / copy + //pairs that you mix with + vector ecdhInfo; + ctkeyV outPk; + }; + + struct rmsSig { + vector rangeSigs; + mgSig MG; + ctkeyM mixRing; + vector destinationEcdhInfo; + vector participantEcdhInfo; + ctkeyV outPk; + }; + + //other basepoint H = toPoint(cn_fast_hash(G)), G the basepoint + static const key H = { {0x8b, 0x65, 0x59, 0x70, 0x15, 0x37, 0x99, 0xaf, 0x2a, 0xea, 0xdc, 0x9f, 0xf1, 0xad, 0xd0, 0xea, 0x6c, 0x72, 0x51, 0xd5, 0x41, 0x54, 0xcf, 0xa9, 0x2c, 0x17, 0x3a, 0x0d, 0xd3, 0x9c, 0x1f, 0x94} }; + + //H2 contains 2^i H in each index, i.e. H, 2H, 4H, 8H, ... + //This is used for the range proofG + static const key64 H2 = { {0x8b, 0x65, 0x59, 0x70, 0x15, 0x37, 0x99, 0xaf, 0x2a, 0xea, 0xdc, 0x9f, 0xf1, 0xad, 0xd0, 0xea, 0x6c, 0x72, 0x51, 0xd5, 0x41, 0x54, 0xcf, 0xa9, 0x2c, 0x17, 0x3a, 0x0d, 0xd3, 0x9c, 0x1f, 0x94}, + {0x8f, 0xaa, 0x44, 0x8a, 0xe4, 0xb3, 0xe2, 0xbb, 0x3d, 0x4d, 0x13, 0x09, 0x09, 0xf5, 0x5f, 0xcd, 0x79, 0x71, 0x1c, 0x1c, 0x83, 0xcd, 0xbc, 0xca, 0xdd, 0x42, 0xcb, 0xe1, 0x51, 0x5e, 0x87, 0x12}, + {0x12, 0xa7, 0xd6, 0x2c, 0x77, 0x91, 0x65, 0x4a, 0x57, 0xf3, 0xe6, 0x76, 0x94, 0xed, 0x50, 0xb4, 0x9a, 0x7d, 0x9e, 0x3f, 0xc1, 0xe4, 0xc7, 0xa0, 0xbd, 0xe2, 0x9d, 0x18, 0x7e, 0x9c, 0xc7, 0x1d}, + {0x78, 0x9a, 0xb9, 0x93, 0x4b, 0x49, 0xc4, 0xf9, 0xe6, 0x78, 0x5c, 0x6d, 0x57, 0xa4, 0x98, 0xb3, 0xea, 0xd4, 0x43, 0xf0, 0x4f, 0x13, 0xdf, 0x11, 0x0c, 0x54, 0x27, 0xb4, 0xf2, 0x14, 0xc7, 0x39}, + {0x77, 0x1e, 0x92, 0x99, 0xd9, 0x4f, 0x02, 0xac, 0x72, 0xe3, 0x8e, 0x44, 0xde, 0x56, 0x8a, 0xc1, 0xdc, 0xb2, 0xed, 0xc6, 0xed, 0xb6, 0x1f, 0x83, 0xca, 0x41, 0x8e, 0x10, 0x77, 0xce, 0x3d, 0xe8}, + {0x73, 0xb9, 0x6d, 0xb4, 0x30, 0x39, 0x81, 0x9b, 0xda, 0xf5, 0x68, 0x0e, 0x5c, 0x32, 0xd7, 0x41, 0x48, 0x88, 0x84, 0xd1, 0x8d, 0x93, 0x86, 0x6d, 0x40, 0x74, 0xa8, 0x49, 0x18, 0x2a, 0x8a, 0x64}, + {0x8d, 0x45, 0x8e, 0x1c, 0x2f, 0x68, 0xeb, 0xeb, 0xcc, 0xd2, 0xfd, 0x5d, 0x37, 0x9f, 0x5e, 0x58, 0xf8, 0x13, 0x4d, 0xf3, 0xe0, 0xe8, 0x8c, 0xad, 0x3d, 0x46, 0x70, 0x10, 0x63, 0xa8, 0xd4, 0x12}, + {0x09, 0x55, 0x1e, 0xdb, 0xe4, 0x94, 0x41, 0x8e, 0x81, 0x28, 0x44, 0x55, 0xd6, 0x4b, 0x35, 0xee, 0x8a, 0xc0, 0x93, 0x06, 0x8a, 0x5f, 0x16, 0x1f, 0xa6, 0x63, 0x75, 0x59, 0x17, 0x7e, 0xf4, 0x04}, + {0xd0, 0x5a, 0x88, 0x66, 0xf4, 0xdf, 0x8c, 0xee, 0x1e, 0x26, 0x8b, 0x1d, 0x23, 0xa4, 0xc5, 0x8c, 0x92, 0xe7, 0x60, 0x30, 0x97, 0x86, 0xcd, 0xac, 0x0f, 0xed, 0xa1, 0xd2, 0x47, 0xa9, 0xc9, 0xa7}, + {0x55, 0xcd, 0xaa, 0xd5, 0x18, 0xbd, 0x87, 0x1d, 0xd1, 0xeb, 0x7b, 0xc7, 0x02, 0x3e, 0x1d, 0xc0, 0xfd, 0xf3, 0x33, 0x98, 0x64, 0xf8, 0x8f, 0xdd, 0x2d, 0xe2, 0x69, 0xfe, 0x9e, 0xe1, 0x83, 0x2d}, + {0xe7, 0x69, 0x7e, 0x95, 0x1a, 0x98, 0xcf, 0xd5, 0x71, 0x2b, 0x84, 0xbb, 0xe5, 0xf3, 0x4e, 0xd7, 0x33, 0xe9, 0x47, 0x3f, 0xcb, 0x68, 0xed, 0xa6, 0x6e, 0x37, 0x88, 0xdf, 0x19, 0x58, 0xc3, 0x06}, + {0xf9, 0x2a, 0x97, 0x0b, 0xae, 0x72, 0x78, 0x29, 0x89, 0xbf, 0xc8, 0x3a, 0xdf, 0xaa, 0x92, 0xa4, 0xf4, 0x9c, 0x7e, 0x95, 0x91, 0x8b, 0x3b, 0xba, 0x3c, 0xdc, 0x7f, 0xe8, 0x8a, 0xcc, 0x8d, 0x47}, + {0x1f, 0x66, 0xc2, 0xd4, 0x91, 0xd7, 0x5a, 0xf9, 0x15, 0xc8, 0xdb, 0x6a, 0x6d, 0x1c, 0xb0, 0xcd, 0x4f, 0x7d, 0xdc, 0xd5, 0xe6, 0x3d, 0x3b, 0xa9, 0xb8, 0x3c, 0x86, 0x6c, 0x39, 0xef, 0x3a, 0x2b}, + {0x3e, 0xec, 0x98, 0x84, 0xb4, 0x3f, 0x58, 0xe9, 0x3e, 0xf8, 0xde, 0xea, 0x26, 0x00, 0x04, 0xef, 0xea, 0x2a, 0x46, 0x34, 0x4f, 0xc5, 0x96, 0x5b, 0x1a, 0x7d, 0xd5, 0xd1, 0x89, 0x97, 0xef, 0xa7}, + {0xb2, 0x9f, 0x8f, 0x0c, 0xcb, 0x96, 0x97, 0x7f, 0xe7, 0x77, 0xd4, 0x89, 0xd6, 0xbe, 0x9e, 0x7e, 0xbc, 0x19, 0xc4, 0x09, 0xb5, 0x10, 0x35, 0x68, 0xf2, 0x77, 0x61, 0x1d, 0x7e, 0xa8, 0x48, 0x94}, + {0x56, 0xb1, 0xf5, 0x12, 0x65, 0xb9, 0x55, 0x98, 0x76, 0xd5, 0x8d, 0x24, 0x9d, 0x0c, 0x14, 0x6d, 0x69, 0xa1, 0x03, 0x63, 0x66, 0x99, 0x87, 0x4d, 0x3f, 0x90, 0x47, 0x35, 0x50, 0xfe, 0x3f, 0x2c}, + {0x1d, 0x7a, 0x36, 0x57, 0x5e, 0x22, 0xf5, 0xd1, 0x39, 0xff, 0x9c, 0xc5, 0x10, 0xfa, 0x13, 0x85, 0x05, 0x57, 0x6b, 0x63, 0x81, 0x5a, 0x94, 0xe4, 0xb0, 0x12, 0xbf, 0xd4, 0x57, 0xca, 0xaa, 0xda}, + {0xd0, 0xac, 0x50, 0x7a, 0x86, 0x4e, 0xcd, 0x05, 0x93, 0xfa, 0x67, 0xbe, 0x7d, 0x23, 0x13, 0x43, 0x92, 0xd0, 0x0e, 0x40, 0x07, 0xe2, 0x53, 0x48, 0x78, 0xd9, 0xb2, 0x42, 0xe1, 0x0d, 0x76, 0x20}, + {0xf6, 0xc6, 0x84, 0x0b, 0x9c, 0xf1, 0x45, 0xbb, 0x2d, 0xcc, 0xf8, 0x6e, 0x94, 0x0b, 0xe0, 0xfc, 0x09, 0x8e, 0x32, 0xe3, 0x10, 0x99, 0xd5, 0x6f, 0x7f, 0xe0, 0x87, 0xbd, 0x5d, 0xeb, 0x50, 0x94}, + {0x28, 0x83, 0x1a, 0x33, 0x40, 0x07, 0x0e, 0xb1, 0xdb, 0x87, 0xc1, 0x2e, 0x05, 0x98, 0x0d, 0x5f, 0x33, 0xe9, 0xef, 0x90, 0xf8, 0x3a, 0x48, 0x17, 0xc9, 0xf4, 0xa0, 0xa3, 0x32, 0x27, 0xe1, 0x97}, + {0x87, 0x63, 0x22, 0x73, 0xd6, 0x29, 0xcc, 0xb7, 0xe1, 0xed, 0x1a, 0x76, 0x8f, 0xa2, 0xeb, 0xd5, 0x17, 0x60, 0xf3, 0x2e, 0x1c, 0x0b, 0x86, 0x7a, 0x5d, 0x36, 0x8d, 0x52, 0x71, 0x05, 0x5c, 0x6e}, + {0x5c, 0x7b, 0x29, 0x42, 0x43, 0x47, 0x96, 0x4d, 0x04, 0x27, 0x55, 0x17, 0xc5, 0xae, 0x14, 0xb6, 0xb5, 0xea, 0x27, 0x98, 0xb5, 0x73, 0xfc, 0x94, 0xe6, 0xe4, 0x4a, 0x53, 0x21, 0x60, 0x0c, 0xfb}, + {0xe6, 0x94, 0x50, 0x42, 0xd7, 0x8b, 0xc2, 0xc3, 0xbd, 0x6e, 0xc5, 0x8c, 0x51, 0x1a, 0x9f, 0xe8, 0x59, 0xc0, 0xad, 0x63, 0xfd, 0xe4, 0x94, 0xf5, 0x03, 0x9e, 0x0e, 0x82, 0x32, 0x61, 0x2b, 0xd5}, + {0x36, 0xd5, 0x69, 0x07, 0xe2, 0xec, 0x74, 0x5d, 0xb6, 0xe5, 0x4f, 0x0b, 0x2e, 0x1b, 0x23, 0x00, 0xab, 0xcb, 0x42, 0x2e, 0x71, 0x2d, 0xa5, 0x88, 0xa4, 0x0d, 0x3f, 0x1e, 0xbb, 0xbe, 0x02, 0xf6}, + {0x34, 0xdb, 0x6e, 0xe4, 0xd0, 0x60, 0x8e, 0x5f, 0x78, 0x36, 0x50, 0x49, 0x5a, 0x3b, 0x2f, 0x52, 0x73, 0xc5, 0x13, 0x4e, 0x52, 0x84, 0xe4, 0xfd, 0xf9, 0x66, 0x27, 0xbb, 0x16, 0xe3, 0x1e, 0x6b}, + {0x8e, 0x76, 0x59, 0xfb, 0x45, 0xa3, 0x78, 0x7d, 0x67, 0x4a, 0xe8, 0x67, 0x31, 0xfa, 0xa2, 0x53, 0x8e, 0xc0, 0xfd, 0xf4, 0x42, 0xab, 0x26, 0xe9, 0xc7, 0x91, 0xfa, 0xda, 0x08, 0x94, 0x67, 0xe9}, + {0x30, 0x06, 0xcf, 0x19, 0x8b, 0x24, 0xf3, 0x1b, 0xb4, 0xc7, 0xe6, 0x34, 0x60, 0x00, 0xab, 0xc7, 0x01, 0xe8, 0x27, 0xcf, 0xbb, 0x5d, 0xf5, 0x2d, 0xcf, 0xa4, 0x2e, 0x9c, 0xa9, 0xff, 0x08, 0x02}, + {0xf5, 0xfd, 0x40, 0x3c, 0xb6, 0xe8, 0xbe, 0x21, 0x47, 0x2e, 0x37, 0x7f, 0xfd, 0x80, 0x5a, 0x8c, 0x60, 0x83, 0xea, 0x48, 0x03, 0xb8, 0x48, 0x53, 0x89, 0xcc, 0x3e, 0xbc, 0x21, 0x5f, 0x00, 0x2a}, + {0x37, 0x31, 0xb2, 0x60, 0xeb, 0x3f, 0x94, 0x82, 0xe4, 0x5f, 0x1c, 0x3f, 0x3b, 0x9d, 0xcf, 0x83, 0x4b, 0x75, 0xe6, 0xee, 0xf8, 0xc4, 0x0f, 0x46, 0x1e, 0xa2, 0x7e, 0x8b, 0x6e, 0xd9, 0x47, 0x3d}, + {0x9f, 0x9d, 0xab, 0x09, 0xc3, 0xf5, 0xe4, 0x28, 0x55, 0xc2, 0xde, 0x97, 0x1b, 0x65, 0x93, 0x28, 0xa2, 0xdb, 0xc4, 0x54, 0x84, 0x5f, 0x39, 0x6f, 0xfc, 0x05, 0x3f, 0x0b, 0xb1, 0x92, 0xf8, 0xc3}, + {0x5e, 0x05, 0x5d, 0x25, 0xf8, 0x5f, 0xdb, 0x98, 0xf2, 0x73, 0xe4, 0xaf, 0xe0, 0x84, 0x64, 0xc0, 0x03, 0xb7, 0x0f, 0x1e, 0xf0, 0x67, 0x7b, 0xb5, 0xe2, 0x57, 0x06, 0x40, 0x0b, 0xe6, 0x20, 0xa5}, + {0x86, 0x8b, 0xcf, 0x36, 0x79, 0xcb, 0x6b, 0x50, 0x0b, 0x94, 0x41, 0x8c, 0x0b, 0x89, 0x25, 0xf9, 0x86, 0x55, 0x30, 0x30, 0x3a, 0xe4, 0xe4, 0xb2, 0x62, 0x59, 0x18, 0x65, 0x66, 0x6a, 0x45, 0x90}, + {0xb3, 0xdb, 0x6b, 0xd3, 0x89, 0x7a, 0xfb, 0xd1, 0xdf, 0x3f, 0x96, 0x44, 0xab, 0x21, 0xc8, 0x05, 0x0e, 0x1f, 0x00, 0x38, 0xa5, 0x2f, 0x7c, 0xa9, 0x5a, 0xc0, 0xc3, 0xde, 0x75, 0x58, 0xcb, 0x7a}, + {0x81, 0x19, 0xb3, 0xa0, 0x59, 0xff, 0x2c, 0xac, 0x48, 0x3e, 0x69, 0xbc, 0xd4, 0x1d, 0x6d, 0x27, 0x14, 0x94, 0x47, 0x91, 0x42, 0x88, 0xbb, 0xea, 0xee, 0x34, 0x13, 0xe6, 0xdc, 0xc6, 0xd1, 0xeb}, + {0x10, 0xfc, 0x58, 0xf3, 0x5f, 0xc7, 0xfe, 0x7a, 0xe8, 0x75, 0x52, 0x4b, 0xb5, 0x85, 0x00, 0x03, 0x00, 0x5b, 0x7f, 0x97, 0x8c, 0x0c, 0x65, 0xe2, 0xa9, 0x65, 0x46, 0x4b, 0x6d, 0x00, 0x81, 0x9c}, + {0x5a, 0xcd, 0x94, 0xeb, 0x3c, 0x57, 0x83, 0x79, 0xc1, 0xea, 0x58, 0xa3, 0x43, 0xec, 0x4f, 0xcf, 0xf9, 0x62, 0x77, 0x6f, 0xe3, 0x55, 0x21, 0xe4, 0x75, 0xa0, 0xe0, 0x6d, 0x88, 0x7b, 0x2d, 0xb9}, + {0x33, 0xda, 0xf3, 0xa2, 0x14, 0xd6, 0xe0, 0xd4, 0x2d, 0x23, 0x00, 0xa7, 0xb4, 0x4b, 0x39, 0x29, 0x0d, 0xb8, 0x98, 0x9b, 0x42, 0x79, 0x74, 0xcd, 0x86, 0x5d, 0xb0, 0x11, 0x05, 0x5a, 0x29, 0x01}, + {0xcf, 0xc6, 0x57, 0x2f, 0x29, 0xaf, 0xd1, 0x64, 0xa4, 0x94, 0xe6, 0x4e, 0x6f, 0x1a, 0xeb, 0x82, 0x0c, 0x3e, 0x7d, 0xa3, 0x55, 0x14, 0x4e, 0x51, 0x24, 0xa3, 0x91, 0xd0, 0x6e, 0x9f, 0x95, 0xea}, + {0xd5, 0x31, 0x2a, 0x4b, 0x0e, 0xf6, 0x15, 0xa3, 0x31, 0xf6, 0x35, 0x2c, 0x2e, 0xd2, 0x1d, 0xac, 0x9e, 0x7c, 0x36, 0x39, 0x8b, 0x93, 0x9a, 0xec, 0x90, 0x1c, 0x25, 0x7f, 0x6c, 0xbc, 0x9e, 0x8e}, + {0x55, 0x1d, 0x67, 0xfe, 0xfc, 0x7b, 0x5b, 0x9f, 0x9f, 0xdb, 0xf6, 0xaf, 0x57, 0xc9, 0x6c, 0x8a, 0x74, 0xd7, 0xe4, 0x5a, 0x00, 0x20, 0x78, 0xa7, 0xb5, 0xba, 0x45, 0xc6, 0xfd, 0xe9, 0x3e, 0x33}, + {0xd5, 0x0a, 0xc7, 0xbd, 0x5c, 0xa5, 0x93, 0xc6, 0x56, 0x92, 0x8f, 0x38, 0x42, 0x80, 0x17, 0xfc, 0x7b, 0xa5, 0x02, 0x85, 0x4c, 0x43, 0xd8, 0x41, 0x49, 0x50, 0xe9, 0x6e, 0xcb, 0x40, 0x5d, 0xc3}, + {0x07, 0x73, 0xe1, 0x8e, 0xa1, 0xbe, 0x44, 0xfe, 0x1a, 0x97, 0xe2, 0x39, 0x57, 0x3c, 0xfa, 0xe3, 0xe4, 0xe9, 0x5e, 0xf9, 0xaa, 0x9f, 0xaa, 0xbe, 0xac, 0x12, 0x74, 0xd3, 0xad, 0x26, 0x16, 0x04}, + {0xe9, 0xaf, 0x0e, 0x7c, 0xa8, 0x93, 0x30, 0xd2, 0xb8, 0x61, 0x5d, 0x1b, 0x41, 0x37, 0xca, 0x61, 0x7e, 0x21, 0x29, 0x7f, 0x2f, 0x0d, 0xed, 0x8e, 0x31, 0xb7, 0xd2, 0xea, 0xd8, 0x71, 0x46, 0x60}, + {0x7b, 0x12, 0x45, 0x83, 0x09, 0x7f, 0x10, 0x29, 0xa0, 0xc7, 0x41, 0x91, 0xfe, 0x73, 0x78, 0xc9, 0x10, 0x5a, 0xcc, 0x70, 0x66, 0x95, 0xed, 0x14, 0x93, 0xbb, 0x76, 0x03, 0x42, 0x26, 0xa5, 0x7b}, + {0xec, 0x40, 0x05, 0x7b, 0x99, 0x54, 0x76, 0x65, 0x0b, 0x3d, 0xb9, 0x8e, 0x9d, 0xb7, 0x57, 0x38, 0xa8, 0xcd, 0x2f, 0x94, 0xd8, 0x63, 0xb9, 0x06, 0x15, 0x0c, 0x56, 0xaa, 0xc1, 0x9c, 0xaa, 0x6b}, + {0x01, 0xd9, 0xff, 0x72, 0x9e, 0xfd, 0x39, 0xd8, 0x37, 0x84, 0xc0, 0xfe, 0x59, 0xc4, 0xae, 0x81, 0xa6, 0x70, 0x34, 0xcb, 0x53, 0xc9, 0x43, 0xfb, 0x81, 0x8b, 0x9d, 0x8a, 0xe7, 0xfc, 0x33, 0xe5}, + {0x00, 0xdf, 0xb3, 0xc6, 0x96, 0x32, 0x8c, 0x76, 0x42, 0x45, 0x19, 0xa7, 0xbe, 0xfe, 0x8e, 0x0f, 0x6c, 0x76, 0xf9, 0x47, 0xb5, 0x27, 0x67, 0x91, 0x6d, 0x24, 0x82, 0x3f, 0x73, 0x5b, 0xaf, 0x2e}, + {0x46, 0x1b, 0x79, 0x9b, 0x4d, 0x9c, 0xee, 0xa8, 0xd5, 0x80, 0xdc, 0xb7, 0x6d, 0x11, 0x15, 0x0d, 0x53, 0x5e, 0x16, 0x39, 0xd1, 0x60, 0x03, 0xc3, 0xfb, 0x7e, 0x9d, 0x1f, 0xd1, 0x30, 0x83, 0xa8}, + {0xee, 0x03, 0x03, 0x94, 0x79, 0xe5, 0x22, 0x8f, 0xdc, 0x55, 0x1c, 0xbd, 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0xfb, 0xd5, 0xbf, 0x7c, 0xa8, 0x2a, 0x89, 0x31, 0x82, 0x8d, 0x80, 0x1d, 0x43, 0xab}, + {0xcb, 0x98, 0x11, 0x0d, 0x4a, 0x6b, 0xb9, 0x7d, 0x22, 0xfe, 0xad, 0xbc, 0x6c, 0x0d, 0x89, 0x30, 0xc5, 0xf8, 0xfc, 0x50, 0x8b, 0x2f, 0xc5, 0xb3, 0x53, 0x28, 0xd2, 0x6b, 0x88, 0xdb, 0x19, 0xae}, + {0x60, 0xb6, 0x26, 0xa0, 0x33, 0xb5, 0x5f, 0x27, 0xd7, 0x67, 0x6c, 0x40, 0x95, 0xea, 0xba, 0xbc, 0x7a, 0x2c, 0x7e, 0xde, 0x26, 0x24, 0xb4, 0x72, 0xe9, 0x7f, 0x64, 0xf9, 0x6b, 0x8c, 0xfc, 0x0e}, + {0xe5, 0xb5, 0x2b, 0xc9, 0x27, 0x46, 0x8d, 0xf7, 0x18, 0x93, 0xeb, 0x81, 0x97, 0xef, 0x82, 0x0c, 0xf7, 0x6c, 0xb0, 0xaa, 0xf6, 0xe8, 0xe4, 0xfe, 0x93, 0xad, 0x62, 0xd8, 0x03, 0x98, 0x31, 0x04}, + {0x05, 0x65, 0x41, 0xae, 0x5d, 0xa9, 0x96, 0x1b, 0xe2, 0xb0, 0xa5, 0xe8, 0x95, 0xe5, 0xc5, 0xba, 0x15, 0x3c, 0xbb, 0x62, 0xdd, 0x56, 0x1a, 0x42, 0x7b, 0xad, 0x0f, 0xfd, 0x41, 0x92, 0x31, 0x99} }; + + //Debug printing for the above types + //Actually use DP(value) and #define DBG + void dp(key a); + void dp(bool a); + void dp(const char * a, int l); + void dp(keyV a); + void dp(keyM a); + void dp(xmr_amount vali); + void dp(int vali); + void dp(bits amountb); + void dp(const char * st); + + //various conversions + + //uint long long to 32 byte key + void d2h(key & amounth, xmr_amount val); + key d2h(xmr_amount val); + //uint long long to int[64] + void d2b(bits amountb, xmr_amount val); + //32 byte key to uint long long + // if the key holds a value > 2^64 + // then the value in the first 8 bytes is returned + xmr_amount h2d(const key &test); + //32 byte key to int[64] + void h2b(bits amountb2, key & test); + //int[64] to 32 byte key + void b2h(key & amountdh, bits amountb2); + //int[64] to uint long long + xmr_amount b2d(bits amountb); +} + +#endif /* RCTTYPES_H */