// 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 "generic-ops.h" #include "crypto-ops.h" #include "random.h" #include "keccak.h" #include "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 #undef PRIu64 #define PRIu64 "I64u" 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. typedef 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; }; //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, 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0x7e, 0xad, 0x5a, 0xa7, 0x5e, 0xc8, 0xc6, 0x4e, 0x09, 0xdd, 0x4f}, {0x16, 0xb1, 0x0c, 0x77, 0x9c, 0xe5, 0xcf, 0xef, 0x59, 0xc7, 0x71, 0x0d, 0x2e, 0x68, 0x44, 0x1e, 0xa6, 0xfa, 0xcb, 0x68, 0xe9, 0xb5, 0xf7, 0xd5, 0x33, 0xae, 0x0b, 0xb7, 0x8e, 0x28, 0xbf, 0x57}, {0x0f, 0x77, 0xc7, 0x67, 0x43, 0xe7, 0x39, 0x6f, 0x99, 0x10, 0x13, 0x9f, 0x49, 0x37, 0xd8, 0x37, 0xae, 0x54, 0xe2, 0x10, 0x38, 0xac, 0x5c, 0x0b, 0x3f, 0xd6, 0xef, 0x17, 0x1a, 0x28, 0xa7, 0xe4}, {0xd7, 0xe5, 0x74, 0xb7, 0xb9, 0x52, 0xf2, 0x93, 0xe8, 0x0d, 0xde, 0x90, 0x5e, 0xb5, 0x09, 0x37, 0x3f, 0x3f, 0x6c, 0xd1, 0x09, 0xa0, 0x22, 0x08, 0xb3, 0xc1, 0xe9, 0x24, 0x08, 0x0a, 0x20, 0xca}, {0x45, 0x66, 0x6f, 0x8c, 0x38, 0x1e, 0x3d, 0xa6, 0x75, 0x56, 0x3f, 0xf8, 0xba, 0x23, 0xf8, 0x3b, 0xfa, 0xc3, 0x0c, 0x34, 0xab, 0xdd, 0xe6, 0xe5, 0xc0, 0x97, 0x5e, 0xf9, 0xfd, 0x70, 0x0c, 0xb9}, {0xb2, 0x46, 0x12, 0xe4, 0x54, 0x60, 0x7e, 0xb1, 0xab, 0xa4, 0x47, 0xf8, 0x16, 0xd1, 0xa4, 0x55, 0x1e, 0xf9, 0x5f, 0xa7, 0x24, 0x7f, 0xb7, 0xc1, 0xf5, 0x03, 0x02, 0x0a, 0x71, 0x77, 0xf0, 0xdd}, {0x7e, 0x20, 0x88, 0x61, 0x85, 0x6d, 0xa4, 0x2c, 0x8b, 0xb4, 0x6a, 0x75, 0x67, 0xf8, 0x12, 0x13, 0x62, 0xd9, 0xfb, 0x24, 0x96, 0xf1, 0x31, 0xa4, 0xaa, 0x90, 0x17, 0xcf, 0x36, 0x6c, 0xdf, 0xce}, {0x5b, 0x64, 0x6b, 0xff, 0x6a, 0xd1, 0x10, 0x01, 0x65, 0x03, 0x7a, 0x05, 0x56, 0x01, 0xea, 0x02, 0x35, 0x8c, 0x0f, 0x41, 0x05, 0x0f, 0x9d, 0xfe, 0x3c, 0x95, 0xdc, 0xcb, 0xd3, 0x08, 0x7b, 0xe0}, {0x74, 0x6d, 0x1d, 0xcc, 0xfe, 0xd2, 0xf0, 0xff, 0x1e, 0x13, 0xc5, 0x1e, 0x2d, 0x50, 0xd5, 0x32, 0x43, 0x75, 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(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(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 */