incrementalmerkletree.cpp

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// Copyright (c) 2016-2020 The ZCash developers
// Copyright (c) 2021 The PIVX Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or https://www.opensource.org/licenses/mit-license.php.
 
#include <stdexcept>
 
#include "crypto/sha256.h"
#include "sapling/incrementalmerkletree.h"
 
#include <librustzcash.h>
 
namespace libzcash {
 
PedersenHash PedersenHash::combine(
    const PedersenHash& a,
    const PedersenHash& b,
    size_t depth
)
{
    PedersenHash res = PedersenHash();
 
    librustzcash_merkle_hash(
        depth,
        a.begin(),
        b.begin(),
        res.begin()
    );
 
    return res;
}
 
PedersenHash PedersenHash::uncommitted() {
    PedersenHash res = PedersenHash();
 
    librustzcash_tree_uncommitted(res.begin());
 
    return res;
}
 
static const std::array<PedersenHash, 65> pedersen_empty_roots = {
    uint256(std::vector<unsigned char>{
        0x01, 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,
    }),
    uint256(std::vector<unsigned char>{
        0x81, 0x7d, 0xe3, 0x6a, 0xb2, 0xd5, 0x7f, 0xeb,
        0x07, 0x76, 0x34, 0xbc, 0xa7, 0x78, 0x19, 0xc8,
        0xe0, 0xbd, 0x29, 0x8c, 0x04, 0xf6, 0xfe, 0xd0,
        0xe6, 0xa8, 0x3c, 0xc1, 0x35, 0x6c, 0xa1, 0x55,
    }),
    uint256(std::vector<unsigned char>{
        0xff, 0xe9, 0xfc, 0x03, 0xf1, 0x8b, 0x17, 0x6c,
        0x99, 0x88, 0x06, 0x43, 0x9f, 0xf0, 0xbb, 0x8a,
        0xd1, 0x93, 0xaf, 0xdb, 0x27, 0xb2, 0xcc, 0xbc,
        0x88, 0x85, 0x69, 0x16, 0xdd, 0x80, 0x4e, 0x34,
    }),
    uint256(std::vector<unsigned char>{
        0xd8, 0x28, 0x33, 0x86, 0xef, 0x2e, 0xf0, 0x7e,
        0xbd, 0xbb, 0x43, 0x83, 0xc1, 0x2a, 0x73, 0x9a,
        0x95, 0x3a, 0x4d, 0x6e, 0x0d, 0x6f, 0xb1, 0x13,
        0x9a, 0x40, 0x36, 0xd6, 0x93, 0xbf, 0xbb, 0x6c,
    }),
    uint256(std::vector<unsigned char>{
        0xe1, 0x10, 0xde, 0x65, 0xc9, 0x07, 0xb9, 0xde,
        0xa4, 0xae, 0x0b, 0xd8, 0x3a, 0x4b, 0x0a, 0x51,
        0xbe, 0xa1, 0x75, 0x64, 0x6a, 0x64, 0xc1, 0x2b,
        0x4c, 0x9f, 0x93, 0x1b, 0x2c, 0xb3, 0x1b, 0x49,
    }),
    uint256(std::vector<unsigned char>{
        0x91, 0x2d, 0x82, 0xb2, 0xc2, 0xbc, 0xa2, 0x31,
        0xf7, 0x1e, 0xfc, 0xf6, 0x17, 0x37, 0xfb, 0xf0,
        0xa0, 0x8b, 0xef, 0xa0, 0x41, 0x62, 0x15, 0xae,
        0xef, 0x53, 0xe8, 0xbb, 0x6d, 0x23, 0x39, 0x0a,
    }),
    uint256(std::vector<unsigned char>{
        0x8a, 0xc9, 0xcf, 0x9c, 0x39, 0x1e, 0x3f, 0xd4,
        0x28, 0x91, 0xd2, 0x72, 0x38, 0xa8, 0x1a, 0x8a,
        0x5c, 0x1d, 0x3a, 0x72, 0xb1, 0xbc, 0xbe, 0xa8,
        0xcf, 0x44, 0xa5, 0x8c, 0xe7, 0x38, 0x96, 0x13,
    }),
    uint256(std::vector<unsigned char>{
        0xd6, 0xc6, 0x39, 0xac, 0x24, 0xb4, 0x6b, 0xd1,
        0x93, 0x41, 0xc9, 0x1b, 0x13, 0xfd, 0xca, 0xb3,
        0x15, 0x81, 0xdd, 0xaf, 0x7f, 0x14, 0x11, 0x33,
        0x6a, 0x27, 0x1f, 0x3d, 0x0a, 0xa5, 0x28, 0x13,
    }),
    uint256(std::vector<unsigned char>{
        0x7b, 0x99, 0xab, 0xdc, 0x37, 0x30, 0x99, 0x1c,
        0xc9, 0x27, 0x47, 0x27, 0xd7, 0xd8, 0x2d, 0x28,
        0xcb, 0x79, 0x4e, 0xdb, 0xc7, 0x03, 0x4b, 0x4f,
        0x00, 0x53, 0xff, 0x7c, 0x4b, 0x68, 0x04, 0x44,
    }),
    uint256(std::vector<unsigned char>{
        0x43, 0xff, 0x54, 0x57, 0xf1, 0x3b, 0x92, 0x6b,
        0x61, 0xdf, 0x55, 0x2d, 0x4e, 0x40, 0x2e, 0xe6,
        0xdc, 0x14, 0x63, 0xf9, 0x9a, 0x53, 0x5f, 0x9a,
        0x71, 0x34, 0x39, 0x26, 0x4d, 0x5b, 0x61, 0x6b,
    }),
    uint256(std::vector<unsigned char>{
        0xba, 0x49, 0xb6, 0x59, 0xfb, 0xd0, 0xb7, 0x33,
        0x42, 0x11, 0xea, 0x6a, 0x9d, 0x9d, 0xf1, 0x85,
        0xc7, 0x57, 0xe7, 0x0a, 0xa8, 0x1d, 0xa5, 0x62,
        0xfb, 0x91, 0x2b, 0x84, 0xf4, 0x9b, 0xce, 0x72,
    }),
    uint256(std::vector<unsigned char>{
        0x47, 0x77, 0xc8, 0x77, 0x6a, 0x3b, 0x1e, 0x69,
        0xb7, 0x3a, 0x62, 0xfa, 0x70, 0x1f, 0xa4, 0xf7,
        0xa6, 0x28, 0x2d, 0x9a, 0xee, 0x2c, 0x7a, 0x6b,
        0x82, 0xe7, 0x93, 0x7d, 0x70, 0x81, 0xc2, 0x3c,
    }),
    uint256(std::vector<unsigned char>{
        0xec, 0x67, 0x71, 0x14, 0xc2, 0x72, 0x06, 0xf5,
        0xde, 0xbc, 0x1c, 0x1e, 0xd6, 0x6f, 0x95, 0xe2,
        0xb1, 0x88, 0x5d, 0xa5, 0xb7, 0xbe, 0x3d, 0x73,
        0x6b, 0x1d, 0xe9, 0x85, 0x79, 0x47, 0x30, 0x48,
    }),
    uint256(std::vector<unsigned char>{
        0x1b, 0x77, 0xda, 0xc4, 0xd2, 0x4f, 0xb7, 0x25,
        0x8c, 0x3c, 0x52, 0x87, 0x04, 0xc5, 0x94, 0x30,
        0xb6, 0x30, 0x71, 0x8b, 0xec, 0x48, 0x64, 0x21,
        0x83, 0x70, 0x21, 0xcf, 0x75, 0xda, 0xb6, 0x51,
    }),
    uint256(std::vector<unsigned char>{
        0xbd, 0x74, 0xb2, 0x5a, 0xac, 0xb9, 0x23, 0x78,
        0xa8, 0x71, 0xbf, 0x27, 0xd2, 0x25, 0xcf, 0xc2,
        0x6b, 0xac, 0xa3, 0x44, 0xa1, 0xea, 0x35, 0xfd,
        0xd9, 0x45, 0x10, 0xf3, 0xd1, 0x57, 0x08, 0x2c,
    }),
    uint256(std::vector<unsigned char>{
        0xd6, 0xac, 0xde, 0xdf, 0x95, 0xf6, 0x08, 0xe0,
        0x9f, 0xa5, 0x3f, 0xb4, 0x3d, 0xcd, 0x09, 0x90,
        0x47, 0x57, 0x26, 0xc5, 0x13, 0x12, 0x10, 0xc9,
        0xe5, 0xca, 0xea, 0xb9, 0x7f, 0x0e, 0x64, 0x2f,
    }),
    uint256(std::vector<unsigned char>{
        0x1e, 0xa6, 0x67, 0x5f, 0x95, 0x51, 0xee, 0xb9,
        0xdf, 0xaa, 0xa9, 0x24, 0x7b, 0xc9, 0x85, 0x82,
        0x70, 0xd3, 0xd3, 0xa4, 0xc5, 0xaf, 0xa7, 0x17,
        0x7a, 0x98, 0x4d, 0x5e, 0xd1, 0xbe, 0x24, 0x51,
    }),
    uint256(std::vector<unsigned char>{
        0x6e, 0xdb, 0x16, 0xd0, 0x19, 0x07, 0xb7, 0x59,
        0x97, 0x7d, 0x76, 0x50, 0xda, 0xd7, 0xe3, 0xec,
        0x04, 0x9a, 0xf1, 0xa3, 0xd8, 0x75, 0x38, 0x0b,
        0x69, 0x7c, 0x86, 0x2c, 0x9e, 0xc5, 0xd5, 0x1c,
    }),
    uint256(std::vector<unsigned char>{
        0xcd, 0x1c, 0x8d, 0xbf, 0x6e, 0x3a, 0xcc, 0x7a,
        0x80, 0x43, 0x9b, 0xc4, 0x96, 0x2c, 0xf2, 0x5b,
        0x9d, 0xce, 0x7c, 0x89, 0x6f, 0x3a, 0x5b, 0xd7,
        0x08, 0x03, 0xfc, 0x5a, 0x0e, 0x33, 0xcf, 0x00,
    }),
    uint256(std::vector<unsigned char>{
        0x6a, 0xca, 0x84, 0x48, 0xd8, 0x26, 0x3e, 0x54,
        0x7d, 0x5f, 0xf2, 0x95, 0x0e, 0x2e, 0xd3, 0x83,
        0x9e, 0x99, 0x8d, 0x31, 0xcb, 0xc6, 0xac, 0x9f,
        0xd5, 0x7b, 0xc6, 0x00, 0x2b, 0x15, 0x92, 0x16,
    }),
    uint256(std::vector<unsigned char>{
        0x8d, 0x5f, 0xa4, 0x3e, 0x5a, 0x10, 0xd1, 0x16,
        0x05, 0xac, 0x74, 0x30, 0xba, 0x1f, 0x5d, 0x81,
        0xfb, 0x1b, 0x68, 0xd2, 0x9a, 0x64, 0x04, 0x05,
        0x76, 0x77, 0x49, 0xe8, 0x41, 0x52, 0x76, 0x73,
    }),
    uint256(std::vector<unsigned char>{
        0x08, 0xee, 0xab, 0x0c, 0x13, 0xab, 0xd6, 0x06,
        0x9e, 0x63, 0x10, 0x19, 0x7b, 0xf8, 0x0f, 0x9c,
        0x1e, 0xa6, 0xde, 0x78, 0xfd, 0x19, 0xcb, 0xae,
        0x24, 0xd4, 0xa5, 0x20, 0xe6, 0xcf, 0x30, 0x23,
    }),
    uint256(std::vector<unsigned char>{
        0x07, 0x69, 0x55, 0x7b, 0xc6, 0x82, 0xb1, 0xbf,
        0x30, 0x86, 0x46, 0xfd, 0x0b, 0x22, 0xe6, 0x48,
        0xe8, 0xb9, 0xe9, 0x8f, 0x57, 0xe2, 0x9f, 0x5a,
        0xf4, 0x0f, 0x6e, 0xdb, 0x83, 0x3e, 0x2c, 0x49,
    }),
    uint256(std::vector<unsigned char>{
        0x4c, 0x69, 0x37, 0xd7, 0x8f, 0x42, 0x68, 0x5f,
        0x84, 0xb4, 0x3a, 0xd3, 0xb7, 0xb0, 0x0f, 0x81,
        0x28, 0x56, 0x62, 0xf8, 0x5c, 0x6a, 0x68, 0xef,
        0x11, 0xd6, 0x2a, 0xd1, 0xa3, 0xee, 0x08, 0x50,
    }),
    uint256(std::vector<unsigned char>{
        0xfe, 0xe0, 0xe5, 0x28, 0x02, 0xcb, 0x0c, 0x46,
        0xb1, 0xeb, 0x4d, 0x37, 0x6c, 0x62, 0x69, 0x7f,
        0x47, 0x59, 0xf6, 0xc8, 0x91, 0x7f, 0xa3, 0x52,
        0x57, 0x12, 0x02, 0xfd, 0x77, 0x8f, 0xd7, 0x12,
    }),
    uint256(std::vector<unsigned char>{
        0x16, 0xd6, 0x25, 0x29, 0x68, 0x97, 0x1a, 0x83,
        0xda, 0x85, 0x21, 0xd6, 0x53, 0x82, 0xe6, 0x1f,
        0x01, 0x76, 0x64, 0x6d, 0x77, 0x1c, 0x91, 0x52,
        0x8e, 0x32, 0x76, 0xee, 0x45, 0x38, 0x3e, 0x4a,
    }),
    uint256(std::vector<unsigned char>{
        0xd2, 0xe1, 0x64, 0x2c, 0x9a, 0x46, 0x22, 0x29,
        0x28, 0x9e, 0x5b, 0x0e, 0x3b, 0x7f, 0x90, 0x08,
        0xe0, 0x30, 0x1c, 0xbb, 0x93, 0x38, 0x5e, 0xe0,
        0xe2, 0x1d, 0xa2, 0x54, 0x50, 0x73, 0xcb, 0x58,
    }),
    uint256(std::vector<unsigned char>{
        0xa5, 0x12, 0x2c, 0x08, 0xff, 0x9c, 0x16, 0x1d,
        0x9c, 0xa6, 0xfc, 0x46, 0x20, 0x73, 0x39, 0x6c,
        0x7d, 0x7d, 0x38, 0xe8, 0xee, 0x48, 0xcd, 0xb3,
        0xbe, 0xa7, 0xe2, 0x23, 0x01, 0x34, 0xed, 0x6a,
    }),
    uint256(std::vector<unsigned char>{
        0x28, 0xe7, 0xb8, 0x41, 0xdc, 0xbc, 0x47, 0xcc,
        0xeb, 0x69, 0xd7, 0xcb, 0x8d, 0x94, 0x24, 0x5f,
        0xb7, 0xcb, 0x2b, 0xa3, 0xa7, 0xa6, 0xbc, 0x18,
        0xf1, 0x3f, 0x94, 0x5f, 0x7d, 0xbd, 0x6e, 0x2a,
    }),
    uint256(std::vector<unsigned char>{
        0xe1, 0xf3, 0x4b, 0x03, 0x4d, 0x4a, 0x3c, 0xd2,
        0x85, 0x57, 0xe2, 0x90, 0x7e, 0xbf, 0x99, 0x0c,
        0x91, 0x8f, 0x64, 0xec, 0xb5, 0x0a, 0x94, 0xf0,
        0x1d, 0x6f, 0xda, 0x5c, 0xa5, 0xc7, 0xef, 0x72,
    }),
    uint256(std::vector<unsigned char>{
        0x12, 0x93, 0x5f, 0x14, 0xb6, 0x76, 0x50, 0x9b,
        0x81, 0xeb, 0x49, 0xef, 0x25, 0xf3, 0x92, 0x69,
        0xed, 0x72, 0x30, 0x92, 0x38, 0xb4, 0xc1, 0x45,
        0x80, 0x35, 0x44, 0xb6, 0x46, 0xdc, 0xa6, 0x2d,
    }),
    uint256(std::vector<unsigned char>{
        0xb2, 0xee, 0xd0, 0x31, 0xd4, 0xd6, 0xa4, 0xf0,
        0x2a, 0x09, 0x7f, 0x80, 0xb5, 0x4c, 0xc1, 0x54,
        0x1d, 0x41, 0x63, 0xc6, 0xb6, 0xf5, 0x97, 0x1f,
        0x88, 0xb6, 0xe4, 0x1d, 0x35, 0xc5, 0x38, 0x14,
    }),
    uint256(std::vector<unsigned char>{
        0xfb, 0xc2, 0xf4, 0x30, 0x0c, 0x01, 0xf0, 0xb7,
        0x82, 0x0d, 0x00, 0xe3, 0x34, 0x7c, 0x8d, 0xa4,
        0xee, 0x61, 0x46, 0x74, 0x37, 0x6c, 0xbc, 0x45,
        0x35, 0x9d, 0xaa, 0x54, 0xf9, 0xb5, 0x49, 0x3e,
    }),
    uint256(std::vector<unsigned char>{
        0x25, 0x2e, 0x67, 0x98, 0x64, 0x5f, 0x5b, 0xf1,
        0x14, 0xe4, 0xb4, 0xe9, 0x0e, 0x96, 0x18, 0x28,
        0x61, 0x48, 0x98, 0x40, 0xd9, 0xb4, 0xcc, 0xc4,
        0xc1, 0xfb, 0x5a, 0x46, 0x99, 0x7c, 0xee, 0x14,
    }),
    uint256(std::vector<unsigned char>{
        0x98, 0xb1, 0x90, 0x42, 0xf1, 0xf7, 0xc7, 0xdd,
        0x11, 0xec, 0x25, 0xea, 0x66, 0xb6, 0xff, 0x74,
        0xe0, 0x8c, 0xe1, 0x1d, 0x44, 0x7e, 0xd6, 0xf1,
        0xbf, 0xe8, 0x7e, 0x11, 0x0e, 0x33, 0x1e, 0x11,
    }),
    uint256(std::vector<unsigned char>{
        0xd4, 0x51, 0x30, 0x47, 0x99, 0x57, 0x2b, 0xa9,
        0xf4, 0x2c, 0x4d, 0xab, 0x6b, 0x07, 0xc7, 0x03,
        0xbd, 0x2c, 0x12, 0x3a, 0xb9, 0xd6, 0x0f, 0x2a,
        0x60, 0xf9, 0x95, 0x58, 0x54, 0x91, 0x0b, 0x6a,
    }),
    uint256(std::vector<unsigned char>{
        0x3e, 0xcd, 0x5f, 0x27, 0xac, 0xf0, 0x1b, 0xd3,
        0x7a, 0x33, 0xe4, 0x51, 0x78, 0x67, 0xef, 0x76,
        0x47, 0x4c, 0xd8, 0x3f, 0xb3, 0x1c, 0x92, 0x08,
        0xdc, 0xef, 0x2e, 0xed, 0xce, 0xf3, 0x6c, 0x72,
    }),
    uint256(std::vector<unsigned char>{
        0x26, 0xc3, 0x7d, 0xa6, 0x78, 0x94, 0xa1, 0x3d,
        0xf8, 0xaa, 0x48, 0x78, 0xd2, 0x51, 0x4a, 0x42,
        0x12, 0x57, 0x3b, 0x73, 0xec, 0xca, 0xab, 0x16,
        0xfe, 0x4f, 0xa6, 0x60, 0xe8, 0xfe, 0x27, 0x07,
    }),
    uint256(std::vector<unsigned char>{
        0xb5, 0x45, 0xef, 0x34, 0x48, 0x5e, 0xed, 0x30,
        0xd4, 0x2b, 0x2c, 0x29, 0x5a, 0x4a, 0x5b, 0x68,
        0x0d, 0xe8, 0xa9, 0xd5, 0xe3, 0x83, 0x45, 0x78,
        0x24, 0x62, 0xc0, 0x4f, 0x09, 0xdc, 0x68, 0x51,
    }),
    uint256(std::vector<unsigned char>{
        0x77, 0xfd, 0x20, 0xb3, 0x00, 0x94, 0x67, 0x65,
        0xa8, 0x7f, 0x24, 0xbd, 0x04, 0x50, 0x73, 0x72,
        0x9c, 0xbd, 0x7b, 0x66, 0xeb, 0x8f, 0xa1, 0x40,
        0xb5, 0x83, 0xfa, 0xa9, 0xd1, 0x42, 0x58, 0x01,
    }),
    uint256(std::vector<unsigned char>{
        0xcb, 0xaa, 0x57, 0x6b, 0x17, 0x99, 0xb5, 0x8f,
        0xf3, 0xa6, 0xde, 0xcb, 0xba, 0x91, 0x9b, 0x0b,
        0x68, 0xd7, 0xc8, 0x93, 0xe4, 0x6f, 0xde, 0x99,
        0x87, 0x68, 0xe8, 0x7e, 0x35, 0x0a, 0x07, 0x25,
    }),
    uint256(std::vector<unsigned char>{
        0x45, 0xfe, 0x81, 0xb1, 0x8c, 0xa3, 0x00, 0x74,
        0xd0, 0x12, 0x0d, 0x2b, 0x1a, 0x0d, 0x10, 0xb3,
        0xa0, 0x50, 0x93, 0x35, 0x12, 0xdb, 0x8e, 0xe3,
        0x4e, 0x52, 0x47, 0x3d, 0x4f, 0x08, 0xa2, 0x67,
    }),
    uint256(std::vector<unsigned char>{
        0x0e, 0x60, 0xa1, 0xf0, 0x12, 0x1f, 0x59, 0x1e,
        0x55, 0x1d, 0x3e, 0xd1, 0x86, 0x5b, 0x50, 0xa7,
        0x5d, 0x7c, 0xcf, 0xf1, 0x28, 0x9d, 0xf7, 0xc4,
        0x4d, 0xd4, 0x65, 0xa5, 0x43, 0x17, 0xf5, 0x6a,
    }),
    uint256(std::vector<unsigned char>{
        0xce, 0xdf, 0xb1, 0x84, 0xdd, 0x92, 0xa0, 0xcb,
        0xfc, 0x11, 0xe8, 0xbe, 0x69, 0x7b, 0x47, 0x69,
        0x88, 0xed, 0x5f, 0x39, 0x36, 0x9a, 0xbd, 0xd9,
        0x0c, 0x61, 0x54, 0x49, 0x88, 0x60, 0x1c, 0x0d,
    }),
    uint256(std::vector<unsigned char>{
        0xf3, 0x62, 0x68, 0x66, 0x12, 0x64, 0x9a, 0x31,
        0x3b, 0xa4, 0x64, 0x43, 0x7a, 0x0c, 0xad, 0x0e,
        0x7e, 0x3d, 0x7e, 0x1b, 0x4b, 0x37, 0x43, 0xf9,
        0x0e, 0x05, 0xa2, 0x10, 0x0a, 0x49, 0x5f, 0x42,
    }),
    uint256(std::vector<unsigned char>{
        0x7d, 0xea, 0xe5, 0xf3, 0xbb, 0xde, 0xff, 0xd3,
        0xf8, 0x52, 0x71, 0xa0, 0x8b, 0x5e, 0xc3, 0x1f,
        0x16, 0xf9, 0x37, 0x96, 0x4a, 0xe7, 0x08, 0xfd,
        0xff, 0x7c, 0x13, 0xe5, 0xa4, 0xf3, 0xdf, 0x6b,
    }),
    uint256(std::vector<unsigned char>{
        0x40, 0xcc, 0xf0, 0xfc, 0x1e, 0xab, 0x6d, 0x85,
        0x02, 0xbd, 0x93, 0xdc, 0x31, 0x34, 0x2d, 0xfd,
        0x57, 0xdf, 0x5b, 0xbb, 0x5d, 0x70, 0xa1, 0xbf,
        0x6b, 0x92, 0xef, 0xc6, 0x1e, 0xc9, 0xa2, 0x58,
    }),
    uint256(std::vector<unsigned char>{
        0xd7, 0x80, 0x25, 0x49, 0x1f, 0x1b, 0xca, 0x85,
        0x07, 0xf6, 0x4f, 0x25, 0x87, 0x2d, 0xd0, 0x23,
        0x88, 0x47, 0x9a, 0x1a, 0x22, 0x51, 0x26, 0xe4,
        0x0d, 0x2f, 0xe4, 0x18, 0xb9, 0x8e, 0x0e, 0x2c,
    }),
    uint256(std::vector<unsigned char>{
        0x0d, 0xb7, 0x29, 0x46, 0x85, 0xc8, 0xa0, 0x72,
        0x5f, 0x15, 0x84, 0x6e, 0xa5, 0x89, 0x9e, 0xa0,
        0xe9, 0x86, 0xc2, 0x70, 0x7b, 0xd7, 0xb4, 0x12,
        0x95, 0x44, 0x12, 0xf2, 0x6a, 0xbf, 0x55, 0x0a,
    }),
    uint256(std::vector<unsigned char>{
        0xb7, 0xe2, 0x90, 0xbe, 0x95, 0x55, 0xcf, 0x75,
        0x54, 0x86, 0x50, 0xda, 0x6d, 0x47, 0xc8, 0x93,
        0xae, 0xf7, 0xf8, 0xc6, 0xdd, 0x27, 0x35, 0x49,
        0x94, 0x95, 0xf6, 0x36, 0x59, 0x0d, 0xae, 0x0a,
    }),
    uint256(std::vector<unsigned char>{
        0x2d, 0xd2, 0x53, 0x2a, 0x85, 0x8c, 0x30, 0x01,
        0x45, 0xa6, 0x5e, 0x35, 0x1f, 0x91, 0xbe, 0x6a,
        0xfe, 0xab, 0x59, 0x7c, 0x41, 0xef, 0x07, 0x3f,
        0x50, 0xb6, 0x22, 0xd5, 0x86, 0xff, 0x59, 0x27,
    }),
    uint256(std::vector<unsigned char>{
        0x97, 0x2f, 0x0c, 0x5c, 0x6f, 0x9a, 0xeb, 0x0e,
        0x38, 0xbf, 0x83, 0x19, 0xf3, 0xa5, 0xfc, 0xdc,
        0x8f, 0xd8, 0x78, 0x2e, 0x41, 0x88, 0x73, 0x0c,
        0xd0, 0x82, 0xd9, 0xba, 0xbc, 0x58, 0x98, 0x51,
    }),
    uint256(std::vector<unsigned char>{
        0x00, 0x1e, 0x57, 0x7b, 0x0f, 0x43, 0x90, 0x18,
        0x2b, 0x4a, 0xe4, 0x3d, 0x32, 0x9b, 0x3a, 0xa8,
        0x83, 0x5d, 0xae, 0x1b, 0xb7, 0x9e, 0x60, 0x4b,
        0x7d, 0x2d, 0xa0, 0xe9, 0x0d, 0x06, 0x09, 0x29,
    }),
    uint256(std::vector<unsigned char>{
        0xaa, 0x6e, 0x70, 0xa9, 0x1e, 0xbc, 0x54, 0xee,
        0xfc, 0xe5, 0xff, 0xd5, 0xb6, 0x75, 0xda, 0xf3,
        0xf1, 0xd9, 0x40, 0xa8, 0x45, 0x1f, 0xcb, 0x01,
        0x08, 0x1f, 0xa9, 0xd4, 0xf2, 0x62, 0x43, 0x6f,
    }),
    uint256(std::vector<unsigned char>{
        0xd7, 0x70, 0x38, 0xbf, 0x67, 0xe6, 0x31, 0x75,
        0x29, 0x40, 0x23, 0x12, 0x51, 0xd7, 0xfe, 0x85,
        0xaf, 0x52, 0xdb, 0xdd, 0x6a, 0xab, 0x37, 0xc7,
        0xa5, 0xec, 0x32, 0xb6, 0x5f, 0xe6, 0xde, 0x03,
    }),
    uint256(std::vector<unsigned char>{
        0xd2, 0x27, 0xa1, 0x7a, 0x7e, 0x0c, 0xf9, 0x6d,
        0xce, 0xdd, 0x9f, 0xc7, 0xbc, 0xe4, 0x3c, 0x6c,
        0x1d, 0x66, 0xba, 0xdd, 0x75, 0x43, 0xa8, 0x87,
        0xc8, 0x65, 0x6c, 0x54, 0x7e, 0xcf, 0xb2, 0x4f,
    }),
    uint256(std::vector<unsigned char>{
        0x70, 0xe8, 0xa5, 0x21, 0x95, 0x15, 0x83, 0xe5,
        0x3f, 0xc0, 0x58, 0x5c, 0x70, 0x7e, 0xce, 0xda,
        0x89, 0xb7, 0xa7, 0xd1, 0xaf, 0x41, 0xd1, 0xa0,
        0x15, 0xd7, 0x97, 0xfa, 0x76, 0xc0, 0xf5, 0x69,
    }),
    uint256(std::vector<unsigned char>{
        0xe4, 0x85, 0xa9, 0x68, 0x55, 0xe8, 0x72, 0xfc,
        0x50, 0x90, 0x15, 0x0e, 0x2c, 0xd2, 0x4e, 0x10,
        0x59, 0x1d, 0x35, 0x16, 0x6e, 0xb0, 0xeb, 0x30,
        0xfc, 0xdf, 0xac, 0x93, 0xb0, 0x1d, 0x28, 0x1c,
    }),
    uint256(std::vector<unsigned char>{
        0xe4, 0xa1, 0x9f, 0xeb, 0xdf, 0x2a, 0x86, 0x89,
        0x6e, 0x41, 0xf2, 0xce, 0xdc, 0xf2, 0xae, 0x58,
        0x46, 0x71, 0x80, 0x2e, 0x6a, 0x46, 0x7e, 0x84,
        0x39, 0xca, 0xb5, 0xd6, 0x18, 0x43, 0x41, 0x6b,
    }),
    uint256(std::vector<unsigned char>{
        0xe9, 0x27, 0x83, 0x88, 0x47, 0x80, 0x6a, 0x43,
        0xbd, 0x6c, 0x60, 0x88, 0xe3, 0x9f, 0x65, 0xb8,
        0xb3, 0xe5, 0x8b, 0x2d, 0xb5, 0xf7, 0xad, 0x56,
        0x43, 0xd9, 0x1e, 0x06, 0x59, 0xa2, 0x8a, 0x2a,
    }),
    uint256(std::vector<unsigned char>{
        0x0b, 0xd3, 0xa8, 0x18, 0xe8, 0x3f, 0x9c, 0xd2,
        0xff, 0x4f, 0x62, 0x01, 0x1a, 0x51, 0x01, 0x76,
        0xac, 0x32, 0xf5, 0x44, 0x8e, 0x6e, 0x15, 0x45,
        0x15, 0x04, 0x3c, 0x59, 0x26, 0xd5, 0x1c, 0x6f,
    }),
    uint256(std::vector<unsigned char>{
        0xce, 0x41, 0x34, 0x45, 0xe0, 0x37, 0x90, 0x49,
        0x8f, 0xe7, 0x2d, 0x8e, 0x01, 0x91, 0x5e, 0x7f,
        0xf1, 0x20, 0xae, 0x35, 0xb3, 0xb5, 0x90, 0xd2,
        0x1b, 0x7f, 0x74, 0xde, 0xe1, 0x83, 0x0f, 0x0d,
    }),
    uint256(std::vector<unsigned char>{
        0x60, 0x0e, 0x6f, 0x93, 0xe7, 0x3d, 0x7a, 0xbd,
        0x4e, 0xe0, 0xa6, 0x5c, 0xb1, 0xb1, 0x9a, 0xa3,
        0xec, 0xc5, 0x25, 0x68, 0x9d, 0xbf, 0x17, 0x77,
        0x96, 0x58, 0x74, 0x1b, 0x95, 0xc1, 0x5a, 0x55,
    }),
};
 
PedersenHash PedersenHash::EmptyRoot(size_t depth) {
    return pedersen_empty_roots.at(depth);
}
 
SHA256Compress SHA256Compress::combine(
    const SHA256Compress& a,
    const SHA256Compress& b,
    size_t depth
)
{
    SHA256Compress res = SHA256Compress();
 
    CSHA256 hasher;
    hasher.Write(a.begin(), 32);
    hasher.Write(b.begin(), 32);
    hasher.FinalizeNoPadding(res.begin());
 
    return res;
}
 
static const std::array<SHA256Compress, 66> sha256_empty_roots = {
    uint256(std::vector<unsigned char>{
        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,
    }),
    uint256(std::vector<unsigned char>{
        0xda, 0x56, 0x98, 0xbe, 0x17, 0xb9, 0xb4, 0x69,
        0x62, 0x33, 0x57, 0x99, 0x77, 0x9f, 0xbe, 0xca,
        0x8c, 0xe5, 0xd4, 0x91, 0xc0, 0xd2, 0x62, 0x43,
        0xba, 0xfe, 0xf9, 0xea, 0x18, 0x37, 0xa9, 0xd8,
    }),
    uint256(std::vector<unsigned char>{
        0xdc, 0x76, 0x6f, 0xab, 0x49, 0x2c, 0xcf, 0x3d,
        0x1e, 0x49, 0xd4, 0xf3, 0x74, 0xb5, 0x23, 0x5f,
        0xa5, 0x65, 0x06, 0xaa, 0xc2, 0x22, 0x4d, 0x39,
        0xf9, 0x43, 0xfc, 0xd4, 0x92, 0x02, 0x97, 0x4c,
    }),
    uint256(std::vector<unsigned char>{
        0x3f, 0x0a, 0x40, 0x61, 0x81, 0x10, 0x59, 0x68,
        0xfd, 0xae, 0xe3, 0x06, 0x79, 0xe3, 0x27, 0x3c,
        0x66, 0xb7, 0x2b, 0xf9, 0xa7, 0xf5, 0xde, 0xbb,
        0xf3, 0xb5, 0xa0, 0xa2, 0x6e, 0x35, 0x9f, 0x92,
    }),
    uint256(std::vector<unsigned char>{
        0x26, 0xb0, 0x05, 0x26, 0x94, 0xfc, 0x42, 0xfd,
        0xff, 0x93, 0xe6, 0xfb, 0x5a, 0x71, 0xd3, 0x8c,
        0x3d, 0xd7, 0xdc, 0x5b, 0x6a, 0xd7, 0x10, 0xeb,
        0x04, 0x8c, 0x66, 0x02, 0x33, 0x13, 0x7f, 0xab,
    }),
    uint256(std::vector<unsigned char>{
        0x01, 0x09, 0xec, 0xc0, 0x72, 0x26, 0x59, 0xff,
        0x83, 0x45, 0x0b, 0x8f, 0x7b, 0x88, 0x46, 0xe6,
        0x7b, 0x28, 0x59, 0xf3, 0x3c, 0x30, 0xd9, 0xb7,
        0xac, 0xd5, 0xbf, 0x39, 0xca, 0xe5, 0x4e, 0x31,
    }),
    uint256(std::vector<unsigned char>{
        0x3f, 0x90, 0x9b, 0x8c, 0xe3, 0xd7, 0xff, 0xd8,
        0xa5, 0xb3, 0x09, 0x08, 0xf6, 0x05, 0xa0, 0x3b,
        0x0d, 0xb8, 0x51, 0x69, 0x55, 0x8d, 0xdc, 0x1d,
        0xa7, 0xbb, 0xbc, 0xc9, 0xb0, 0x9f, 0xd3, 0x25,
    }),
    uint256(std::vector<unsigned char>{
        0x40, 0x46, 0x0f, 0xa6, 0xbc, 0x69, 0x2a, 0x06,
        0xf4, 0x75, 0x21, 0xa6, 0x72, 0x5a, 0x54, 0x7c,
        0x02, 0x8a, 0x6a, 0x24, 0x0d, 0x84, 0x09, 0xf1,
        0x65, 0xe6, 0x3c, 0xb5, 0x4d, 0xa2, 0xd2, 0x3f,
    }),
    uint256(std::vector<unsigned char>{
        0x8c, 0x08, 0x56, 0x74, 0x24, 0x9b, 0x43, 0xda,
        0x1b, 0x9a, 0x31, 0xa0, 0xe8, 0x20, 0xe8, 0x1e,
        0x75, 0xf3, 0x42, 0x80, 0x7b, 0x03, 0xb6, 0xb9,
        0xe6, 0x49, 0x83, 0x21, 0x7b, 0xc2, 0xb3, 0x8e,
    }),
    uint256(std::vector<unsigned char>{
        0xa0, 0x83, 0x45, 0x0c, 0x1b, 0xa2, 0xa3, 0xa7,
        0xbe, 0x76, 0xfa, 0xd9, 0xd1, 0x3b, 0xc3, 0x7b,
        0xe4, 0xbf, 0x83, 0xbd, 0x3e, 0x59, 0xfc, 0x37,
        0x5a, 0x36, 0xba, 0x62, 0xdc, 0x62, 0x02, 0x98,
    }),
    uint256(std::vector<unsigned char>{
        0x1d, 0xdd, 0xda, 0xbc, 0x2c, 0xaa, 0x2d, 0xe9,
        0xef, 0xf9, 0xe1, 0x8c, 0x8c, 0x5a, 0x39, 0x40,
        0x6d, 0x79, 0x36, 0xe8, 0x89, 0xbc, 0x16, 0xcf,
        0xab, 0xb1, 0x44, 0xf5, 0xc0, 0x02, 0x26, 0x82,
    }),
    uint256(std::vector<unsigned char>{
        0xc2, 0x2d, 0x8f, 0x0b, 0x5e, 0x40, 0x56, 0xe5,
        0xf3, 0x18, 0xba, 0x22, 0x09, 0x1c, 0xc0, 0x7d,
        0xb5, 0x69, 0x4f, 0xbe, 0xb5, 0xe8, 0x7e, 0xf0,
        0xd7, 0xe2, 0xc5, 0x7c, 0xa3, 0x52, 0x35, 0x9e,
    }),
    uint256(std::vector<unsigned char>{
        0x89, 0xa4, 0x34, 0xae, 0x1f, 0xeb, 0xd7, 0x68,
        0x7e, 0xce, 0xea, 0x21, 0xd0, 0x7f, 0x20, 0xa2,
        0x51, 0x24, 0x49, 0xd0, 0x8c, 0xe2, 0xee, 0xe5,
        0x58, 0x71, 0xcd, 0xb9, 0xd4, 0x6c, 0x12, 0x33,
    }),
    uint256(std::vector<unsigned char>{
        0x73, 0x33, 0xdb, 0xff, 0xbd, 0x11, 0xf0, 0x92,
        0x47, 0xa2, 0xb3, 0x3a, 0x01, 0x3e, 0xc4, 0xc4,
        0x34, 0x20, 0x29, 0xd8, 0x51, 0xe2, 0x2b, 0xa4,
        0x85, 0xd4, 0x46, 0x18, 0x51, 0x37, 0x0c, 0x15,
    }),
    uint256(std::vector<unsigned char>{
        0x5d, 0xad, 0x84, 0x4a, 0xb9, 0x46, 0x6b, 0x70,
        0xf7, 0x45, 0x13, 0x71, 0x95, 0xca, 0x22, 0x1b,
        0x48, 0xf3, 0x46, 0xab, 0xd1, 0x45, 0xfb, 0x5e,
        0xfc, 0x23, 0xa8, 0xb4, 0xba, 0x50, 0x80, 0x22,
    }),
    uint256(std::vector<unsigned char>{
        0x50, 0x7e, 0x0d, 0xae, 0x81, 0xcb, 0xfb, 0xe4,
        0x57, 0xfd, 0x37, 0x0e, 0xf1, 0xca, 0x42, 0x01,
        0xc2, 0xb6, 0x40, 0x10, 0x83, 0xdd, 0xab, 0x44,
        0x0e, 0x4a, 0x03, 0x8d, 0xc1, 0xe3, 0x58, 0xc4,
    }),
    uint256(std::vector<unsigned char>{
        0xbd, 0xcd, 0xb3, 0x29, 0x31, 0x88, 0xc9, 0x80,
        0x7d, 0x80, 0x82, 0x67, 0x01, 0x86, 0x84, 0xcf,
        0xec, 0xe0, 0x7a, 0xc3, 0x5a, 0x42, 0xc0, 0x0f,
        0x2c, 0x79, 0xb4, 0x00, 0x38, 0x25, 0x30, 0x5d,
    }),
    uint256(std::vector<unsigned char>{
        0xba, 0xb5, 0x80, 0x09, 0x72, 0xa1, 0x6c, 0x2c,
        0x22, 0x53, 0x0c, 0x66, 0x06, 0x6d, 0x0a, 0x58,
        0x67, 0xe9, 0x87, 0xbe, 0xd2, 0x1a, 0x6d, 0x5a,
        0x45, 0x0b, 0x68, 0x3c, 0xf1, 0xcf, 0xd7, 0x09,
    }),
    uint256(std::vector<unsigned char>{
        0x11, 0xaa, 0x0b, 0x4a, 0xd2, 0x9b, 0x13, 0xb0,
        0x57, 0xa3, 0x16, 0x19, 0xd6, 0x50, 0x0d, 0x63,
        0x6c, 0xd7, 0x35, 0xcd, 0xd0, 0x7d, 0x81, 0x1e,
        0xa2, 0x65, 0xec, 0x4b, 0xcb, 0xbb, 0xd0, 0x58,
    }),
    uint256(std::vector<unsigned char>{
        0x51, 0x45, 0xb1, 0xb0, 0x55, 0xc2, 0xdf, 0x02,
        0xb9, 0x56, 0x75, 0xe3, 0x79, 0x7b, 0x91, 0xde,
        0x1b, 0x84, 0x6d, 0x25, 0x00, 0x3c, 0x0a, 0x80,
        0x3d, 0x08, 0x90, 0x07, 0x28, 0xf2, 0xcd, 0x6a,
    }),
    uint256(std::vector<unsigned char>{
        0x03, 0x23, 0xf2, 0x85, 0x0b, 0xf3, 0x44, 0x4f,
        0x4b, 0x4c, 0x5c, 0x09, 0xa6, 0x05, 0x7e, 0xc7,
        0x16, 0x91, 0x90, 0xf4, 0x5a, 0xcb, 0x9e, 0x46,
        0x98, 0x4a, 0xb3, 0xdf, 0xce, 0xc4, 0xf0, 0x6a,
    }),
    uint256(std::vector<unsigned char>{
        0x67, 0x15, 0x46, 0xe2, 0x6b, 0x1d, 0xa1, 0xaf,
        0x75, 0x45, 0x31, 0xe2, 0x6d, 0x8a, 0x6a, 0x51,
        0x07, 0x3a, 0x57, 0xdd, 0xd7, 0x2d, 0xc4, 0x72,
        0xef, 0xb4, 0x3f, 0xcb, 0x25, 0x7c, 0xff, 0xff,
    }),
    uint256(std::vector<unsigned char>{
        0xbb, 0x23, 0xa9, 0xbb, 0xa5, 0x6d, 0xe5, 0x7c,
        0xb2, 0x84, 0xb0, 0xd2, 0xb0, 0x1c, 0x64, 0x2c,
        0xf7, 0x9c, 0x9a, 0x55, 0x63, 0xf0, 0x06, 0x7a,
        0x21, 0x29, 0x24, 0x12, 0x14, 0x5b, 0xd7, 0x8a,
    }),
    uint256(std::vector<unsigned char>{
        0xf3, 0x0c, 0xc8, 0x36, 0xb9, 0xf7, 0x1b, 0x4e,
        0x7e, 0xe3, 0xc7, 0x2b, 0x1f, 0xd2, 0x53, 0x26,
        0x8a, 0xf9, 0xa2, 0x7e, 0x9d, 0x72, 0x91, 0xa2,
        0x3d, 0x02, 0x82, 0x1b, 0x21, 0xdd, 0xfd, 0x16,
    }),
    uint256(std::vector<unsigned char>{
        0x58, 0xa2, 0x75, 0x3d, 0xad, 0xe1, 0x03, 0xce,
        0xcb, 0xcd, 0xa5, 0x0b, 0x5e, 0xbf, 0xce, 0x31,
        0xe1, 0x2d, 0x41, 0xd5, 0x84, 0x1d, 0xcc, 0x95,
        0x62, 0x0f, 0x7b, 0x3d, 0x50, 0xa1, 0xb9, 0xa1,
    }),
    uint256(std::vector<unsigned char>{
        0x92, 0x5e, 0x6d, 0x47, 0x4a, 0x5d, 0x8d, 0x30,
        0x04, 0xf2, 0x9d, 0xa0, 0xdd, 0x78, 0xd3, 0x0a,
        0xe3, 0x82, 0x4c, 0xe7, 0x9d, 0xfe, 0x49, 0x34,
        0xbb, 0x29, 0xec, 0x3a, 0xfa, 0xf3, 0xd5, 0x21,
    }),
    uint256(std::vector<unsigned char>{
        0x08, 0xf2, 0x79, 0x61, 0x86, 0x16, 0xbc, 0xdd,
        0x4e, 0xad, 0xc9, 0xc7, 0xa9, 0x06, 0x26, 0x91,
        0xa5, 0x9b, 0x43, 0xb0, 0x7e, 0x2c, 0x1e, 0x23,
        0x7f, 0x17, 0xbd, 0x18, 0x9c, 0xd6, 0xa8, 0xfe,
    }),
    uint256(std::vector<unsigned char>{
        0xc9, 0x2b, 0x32, 0xdb, 0x42, 0xf4, 0x2e, 0x2b,
        0xf0, 0xa5, 0x9d, 0xf9, 0x05, 0x5b, 0xe5, 0xc6,
        0x69, 0xd3, 0x24, 0x2d, 0xf4, 0x53, 0x57, 0x65,
        0x9b, 0x75, 0xae, 0x2c, 0x27, 0xa7, 0x6f, 0x50,
    }),
    uint256(std::vector<unsigned char>{
        0xc0, 0xdb, 0x2a, 0x74, 0x99, 0x8c, 0x50, 0xeb,
        0x7b, 0xa6, 0x53, 0x4f, 0x6d, 0x41, 0x0e, 0xfc,
        0x27, 0xc4, 0xbb, 0x88, 0xac, 0xb0, 0x22, 0x2c,
        0x79, 0x06, 0xea, 0x28, 0xa3, 0x27, 0xb5, 0x11,
    }),
    uint256(std::vector<unsigned char>{
        0xd7, 0xc6, 0x12, 0xc8, 0x17, 0x79, 0x31, 0x91,
        0xa1, 0xe6, 0x86, 0x52, 0x12, 0x18, 0x76, 0xd6,
        0xb3, 0xbd, 0xe4, 0x0f, 0x4f, 0xa5, 0x2b, 0xc3,
        0x14, 0x14, 0x5c, 0xe6, 0xe5, 0xcd, 0xd2, 0x59,
    }),
    uint256(std::vector<unsigned char>{
        0xb2, 0x23, 0x70, 0x10, 0x6c, 0x67, 0xa1, 0x72,
        0x09, 0xf6, 0x13, 0x0b, 0xc0, 0x9f, 0x73, 0x5d,
        0x83, 0xaa, 0x2c, 0x04, 0xfc, 0x4f, 0xe7, 0x2e,
        0xa5, 0xd8, 0x0b, 0x21, 0x67, 0x23, 0xe7, 0xce,
    }),
    uint256(std::vector<unsigned char>{
        0x9f, 0x67, 0xd5, 0xf6, 0x64, 0x66, 0x4c, 0x90,
        0x19, 0x40, 0xee, 0xe3, 0xd0, 0x2d, 0xd5, 0xb3,
        0xe4, 0xb9, 0x2e, 0x7b, 0x42, 0x82, 0x0c, 0x42,
        0xfc, 0x51, 0x59, 0xe9, 0x1b, 0x41, 0x17, 0x2a,
    }),
    uint256(std::vector<unsigned char>{
        0xac, 0x58, 0xcd, 0x13, 0x88, 0xfe, 0xc2, 0x90,
        0xd3, 0x98, 0xf1, 0x94, 0x4b, 0x56, 0x44, 0x49,
        0xa6, 0x3c, 0x81, 0x58, 0x80, 0x56, 0x6b, 0xd1,
        0xd1, 0x89, 0xf7, 0x83, 0x9e, 0x3b, 0x0c, 0x8c,
    }),
    uint256(std::vector<unsigned char>{
        0x56, 0x98, 0xea, 0xe7, 0xc8, 0x51, 0x5e, 0xd0,
        0x5a, 0x70, 0x33, 0x9b, 0xdf, 0x7c, 0x10, 0x28,
        0xe7, 0xac, 0xca, 0x13, 0xa4, 0xfa, 0x97, 0xd9,
        0x53, 0x8f, 0x01, 0xac, 0x8d, 0x88, 0x9a, 0xe3,
    }),
    uint256(std::vector<unsigned char>{
        0x2d, 0x49, 0x95, 0x77, 0x0a, 0x76, 0xfb, 0x93,
        0x31, 0x4c, 0xa7, 0x4b, 0x35, 0x24, 0xea, 0x1d,
        0xb5, 0x68, 0x8a, 0xd0, 0xa7, 0x61, 0x83, 0xea,
        0x17, 0x20, 0x4a, 0x8f, 0x02, 0x4a, 0x9f, 0x3b,
    }),
    uint256(std::vector<unsigned char>{
        0x5e, 0x89, 0x92, 0xc1, 0xb0, 0x72, 0xc1, 0x6e,
        0x9e, 0x28, 0xa8, 0x53, 0x58, 0xfb, 0x5f, 0xb6,
        0x90, 0x1a, 0x81, 0x58, 0x77, 0x66, 0xda, 0xdb,
        0x7a, 0xa0, 0xb9, 0x73, 0xde, 0xd2, 0xf2, 0x64,
    }),
    uint256(std::vector<unsigned char>{
        0xe9, 0x5d, 0xb7, 0x1e, 0x1f, 0x72, 0x91, 0xba,
        0x54, 0x99, 0x46, 0x1b, 0xc7, 0x15, 0x20, 0x3e,
        0x29, 0xb8, 0x4b, 0xfa, 0x42, 0x83, 0xe3, 0xbb,
        0x7f, 0x47, 0x0a, 0x15, 0xd0, 0xe1, 0x58, 0x4e,
    }),
    uint256(std::vector<unsigned char>{
        0x41, 0xf0, 0x78, 0xbd, 0x18, 0x24, 0xc8, 0xa4,
        0xb7, 0x19, 0x64, 0xf3, 0x94, 0xaa, 0x59, 0x50,
        0x84, 0xd8, 0xeb, 0x17, 0xb9, 0x7a, 0x36, 0x30,
        0x43, 0x3a, 0xf7, 0x0d, 0x10, 0xe0, 0xef, 0xf6,
    }),
    uint256(std::vector<unsigned char>{
        0xa1, 0x91, 0x3f, 0xe6, 0xb2, 0x01, 0x32, 0x31,
        0x2f, 0x8c, 0x1f, 0x00, 0xdd, 0xd6, 0x3c, 0xec,
        0x7a, 0x03, 0xf5, 0xf1, 0xd7, 0xd8, 0x34, 0x92,
        0xfa, 0x28, 0x4c, 0x0b, 0x5d, 0x63, 0x20, 0xb0,
    }),
    uint256(std::vector<unsigned char>{
        0xba, 0x94, 0x40, 0xc4, 0xdb, 0xfc, 0xf5, 0x5c,
        0xeb, 0x60, 0x5a, 0x5b, 0x89, 0x90, 0xfc, 0x11,
        0xf8, 0xef, 0x22, 0x87, 0x0d, 0x8d, 0x12, 0xe1,
        0x30, 0xf9, 0x86, 0x49, 0x1e, 0xae, 0x84, 0xb3,
    }),
    uint256(std::vector<unsigned char>{
        0x49, 0xdb, 0x2d, 0x5e, 0x22, 0xb8, 0x01, 0x5c,
        0xae, 0x48, 0x10, 0xd7, 0x5e, 0x54, 0x01, 0x4c,
        0x54, 0x69, 0x86, 0x27, 0x38, 0xe1, 0x61, 0xec,
        0x96, 0xec, 0x20, 0x21, 0x87, 0x18, 0x82, 0x8a,
    }),
    uint256(std::vector<unsigned char>{
        0xd4, 0x85, 0x1f, 0xb8, 0x43, 0x1e, 0xdf, 0xbb,
        0x8b, 0x1e, 0x85, 0xad, 0xa6, 0x89, 0x59, 0x67,
        0xc2, 0xda, 0xc8, 0x7d, 0xf3, 0x44, 0x99, 0x2a,
        0x05, 0xfa, 0xf1, 0xec, 0xf8, 0x36, 0xee, 0xc9,
    }),
    uint256(std::vector<unsigned char>{
        0xe4, 0xab, 0x9f, 0x44, 0x70, 0xf0, 0x0c, 0xd1,
        0x96, 0xd4, 0x7c, 0x75, 0xc8, 0x2e, 0x7a, 0xda,
        0xf0, 0x6f, 0xe1, 0x7e, 0x04, 0x2e, 0x39, 0x53,
        0xd9, 0x3b, 0xb5, 0xd5, 0x6d, 0x8c, 0xd8, 0xfb,
    }),
    uint256(std::vector<unsigned char>{
        0x7e, 0x43, 0x20, 0x43, 0x48, 0x49, 0xec, 0xb3,
        0x57, 0xf1, 0xaf, 0xaa, 0xba, 0x21, 0xa5, 0x44,
        0x00, 0xef, 0x2d, 0x11, 0xcf, 0xf8, 0x3b, 0x93,
        0x7d, 0x87, 0xfd, 0xaf, 0xa4, 0x9f, 0x81, 0x99,
    }),
    uint256(std::vector<unsigned char>{
        0x02, 0x0a, 0xdc, 0x98, 0xd9, 0x6c, 0xfb, 0xbc,
        0xca, 0x15, 0xfc, 0x3a, 0xa0, 0x37, 0x60, 0xed,
        0x28, 0x66, 0x86, 0xc3, 0x5b, 0x5d, 0x92, 0xc7,
        0xcb, 0x64, 0xa9, 0x99, 0xb3, 0x94, 0xa8, 0x54,
    }),
    uint256(std::vector<unsigned char>{
        0x3a, 0x26, 0xb2, 0x9f, 0xe1, 0xac, 0xfd, 0xd6,
        0xc6, 0xa1, 0x51, 0xbc, 0xc3, 0xdb, 0xcb, 0x95,
        0xa1, 0x0e, 0xbe, 0x2f, 0x05, 0x53, 0xf8, 0x07,
        0x79, 0x56, 0x9b, 0x67, 0xb7, 0x24, 0x4e, 0x77,
    }),
    uint256(std::vector<unsigned char>{
        0xec, 0x2d, 0x09, 0x86, 0xe6, 0xa0, 0xdd, 0xf4,
        0x38, 0x97, 0xb2, 0xd4, 0xf2, 0x3b, 0xb0, 0x34,
        0xf5, 0x38, 0xff, 0xe0, 0x08, 0x27, 0xf3, 0x10,
        0xdc, 0x49, 0x63, 0xf3, 0x26, 0x7f, 0x0b, 0xfb,
    }),
    uint256(std::vector<unsigned char>{
        0xd4, 0x80, 0x73, 0xf8, 0x81, 0x9f, 0x81, 0xf0,
        0x35, 0x8e, 0x3f, 0xc3, 0x5a, 0x04, 0x7c, 0xc7,
        0x40, 0x82, 0xae, 0x1c, 0xb7, 0xee, 0x22, 0xfb,
        0x60, 0x9c, 0x01, 0x64, 0x93, 0x42, 0xd0, 0xe6,
    }),
    uint256(std::vector<unsigned char>{
        0xad, 0x80, 0x37, 0x60, 0x17, 0x93, 0xf1, 0x72,
        0x44, 0x1e, 0xcb, 0x00, 0xdc, 0x13, 0x8d, 0x9f,
        0xc5, 0x95, 0x71, 0x25, 0xec, 0xc3, 0x82, 0xec,
        0x65, 0xe3, 0x6f, 0x81, 0x7d, 0xc7, 0x99, 0xfb,
    }),
    uint256(std::vector<unsigned char>{
        0xca, 0x50, 0x0a, 0x54, 0x41, 0xf3, 0x6f, 0x4d,
        0xf6, 0x73, 0xd6, 0xb8, 0xed, 0x07, 0x5d, 0x36,
        0xda, 0xe2, 0xc7, 0xe6, 0x48, 0x14, 0x28, 0xc7,
        0x0a, 0x5a, 0x76, 0xb7, 0xa9, 0xbe, 0xbc, 0xe8,
    }),
    uint256(std::vector<unsigned char>{
        0x42, 0x2b, 0x6d, 0xdd, 0x47, 0x32, 0x31, 0xdc,
        0x4d, 0x56, 0xfe, 0x91, 0x34, 0x44, 0xcc, 0xd5,
        0x6f, 0x7c, 0x61, 0xf7, 0x47, 0xba, 0x57, 0xca,
        0x94, 0x6d, 0x5f, 0xef, 0x72, 0xd8, 0x40, 0xa0,
    }),
    uint256(std::vector<unsigned char>{
        0xab, 0x41, 0xf4, 0xec, 0xb7, 0xd7, 0x08, 0x96,
        0x15, 0x80, 0x0e, 0x19, 0xfc, 0xc5, 0x3b, 0x83,
        0x79, 0xed, 0x05, 0xee, 0x35, 0xc8, 0x25, 0x67,
        0x09, 0x55, 0x83, 0xfd, 0x90, 0xff, 0x30, 0x35,
    }),
    uint256(std::vector<unsigned char>{
        0xbb, 0xf7, 0x61, 0x82, 0x48, 0x35, 0x4c, 0xeb,
        0x1b, 0xc1, 0xfc, 0x9d, 0xbc, 0x42, 0xc4, 0x26,
        0xa4, 0xe2, 0xc1, 0xe0, 0xd4, 0x43, 0xc5, 0x68,
        0x3a, 0x92, 0x56, 0xc6, 0x2e, 0xcd, 0xc2, 0x6f,
    }),
    uint256(std::vector<unsigned char>{
        0xe5, 0x0a, 0xe7, 0x14, 0x79, 0xfc, 0x8e, 0xc5,
        0x69, 0x19, 0x2a, 0x13, 0x07, 0x2e, 0x01, 0x1a,
        0xfc, 0x24, 0x9f, 0x47, 0x1a, 0xf0, 0x95, 0x00,
        0xea, 0x39, 0xf7, 0x5d, 0x0a, 0xf8, 0x56, 0xbf,
    }),
    uint256(std::vector<unsigned char>{
        0xe7, 0x4c, 0x0b, 0x92, 0x20, 0x14, 0x7d, 0xb2,
        0xd5, 0x0a, 0x3b, 0x58, 0xd4, 0x13, 0x77, 0x5d,
        0x16, 0xc9, 0x84, 0x69, 0x0b, 0xe7, 0xd9, 0x0f,
        0x0b, 0xc4, 0x3d, 0x99, 0xdb, 0xa1, 0xb6, 0x89,
    }),
    uint256(std::vector<unsigned char>{
        0x29, 0x32, 0x4a, 0x0a, 0x48, 0xd1, 0x16, 0x57,
        0xa5, 0x1b, 0xa0, 0x8b, 0x00, 0x48, 0x79, 0xbf,
        0xcf, 0xc6, 0x6a, 0x1a, 0xcb, 0x7c, 0xe3, 0x6d,
        0xfe, 0x47, 0x8d, 0x26, 0x55, 0x48, 0x4b, 0x48,
    }),
    uint256(std::vector<unsigned char>{
        0x88, 0x95, 0x2e, 0x3d, 0x0a, 0xc0, 0x6c, 0xb1,
        0x6b, 0x66, 0x52, 0x01, 0x12, 0x22, 0x49, 0x65,
        0x9a, 0x22, 0x32, 0x5e, 0x01, 0xc8, 0x70, 0xf4,
        0x9e, 0x29, 0xda, 0x6b, 0x17, 0x57, 0xe0, 0x82,
    }),
    uint256(std::vector<unsigned char>{
        0xcd, 0xf8, 0x79, 0xf2, 0x43, 0x5b, 0x95, 0xaf,
        0x04, 0x2a, 0x3b, 0xf7, 0xb8, 0x50, 0xf7, 0x81,
        0x92, 0x46, 0xc8, 0x05, 0x28, 0x58, 0x03, 0xd6,
        0x7f, 0xfb, 0xf4, 0xf2, 0x95, 0xbe, 0xd0, 0x04,
    }),
    uint256(std::vector<unsigned char>{
        0xe0, 0x05, 0xe3, 0x24, 0x20, 0x0b, 0x4f, 0x42,
        0x8c, 0x62, 0xbc, 0x33, 0x31, 0xe6, 0x95, 0xc3,
        0x73, 0x60, 0x7c, 0xd0, 0xfa, 0xa9, 0x79, 0x03,
        0x41, 0xfa, 0x3b, 0xa1, 0xed, 0x22, 0x8b, 0xc5,
    }),
    uint256(std::vector<unsigned char>{
        0x35, 0x44, 0x47, 0x72, 0x7a, 0xa9, 0xa5, 0x3d,
        0xd8, 0x34, 0x5b, 0x6b, 0x6c, 0x69, 0x34, 0x43,
        0xe5, 0x6e, 0xf4, 0xae, 0xba, 0x13, 0xc4, 0x10,
        0x17, 0x9f, 0xc8, 0x58, 0x9e, 0x77, 0x33, 0xd5,
    }),
    uint256(std::vector<unsigned char>{
        0xda, 0x52, 0xdd, 0xa9, 0x1f, 0x28, 0x29, 0xc1,
        0x5c, 0x0e, 0x58, 0xd2, 0x9a, 0x95, 0x36, 0x0b,
        0x86, 0xab, 0x30, 0xcf, 0x0c, 0xac, 0x81, 0x01,
        0x83, 0x2a, 0x29, 0xf3, 0x8c, 0x31, 0x85, 0xf1,
    }),
    uint256(std::vector<unsigned char>{
        0xc7, 0xda, 0x78, 0x14, 0xe2, 0x28, 0xe1, 0x14,
        0x44, 0x11, 0xd7, 0x8b, 0x53, 0x60, 0x92, 0xfe,
        0x92, 0x0b, 0xcd, 0xfc, 0xc3, 0x6c, 0xf1, 0x9d,
        0x12, 0x59, 0x04, 0x7b, 0x26, 0x7d, 0x58, 0xb5,
    }),
    uint256(std::vector<unsigned char>{
        0xab, 0xa1, 0xf6, 0x8b, 0x6c, 0x2b, 0x4d, 0xb6,
        0xcc, 0x06, 0xa7, 0x34, 0x0e, 0x12, 0x31, 0x3c,
        0x4b, 0x4a, 0x4e, 0xa6, 0xde, 0xb1, 0x7d, 0xeb,
        0x3e, 0x1e, 0x66, 0xcd, 0x8e, 0xac, 0xf3, 0x2b,
    }),
    uint256(std::vector<unsigned char>{
        0xc1, 0x60, 0xae, 0x4f, 0x64, 0xab, 0x76, 0x4d,
        0x86, 0x4a, 0x52, 0xad, 0x5e, 0x33, 0x12, 0x6c,
        0x4b, 0x5c, 0xe1, 0x05, 0xa4, 0x7d, 0xee, 0xdd,
        0x75, 0xbc, 0x70, 0x19, 0x9a, 0x52, 0x47, 0xef,
    }),
    uint256(std::vector<unsigned char>{
        0xea, 0xdf, 0x23, 0xfc, 0x99, 0xd5, 0x14, 0xdd,
        0x8e, 0xa2, 0x04, 0xd2, 0x23, 0xe9, 0x8d, 0xa9,
        0x88, 0x83, 0x1f, 0x9b, 0x5d, 0x19, 0x40, 0x27,
        0x4c, 0xa5, 0x20, 0xb7, 0xfb, 0x17, 0x3d, 0x8a,
    }),
    uint256(std::vector<unsigned char>{
        0x5b, 0x8e, 0x14, 0xfa, 0xca, 0xc8, 0xa7, 0xc7,
        0xa3, 0xbf, 0xee, 0x8b, 0xae, 0x71, 0xf2, 0xf7,
        0x79, 0x3d, 0x3a, 0xd5, 0xfe, 0x33, 0x83, 0xf9,
        0x3a, 0xb6, 0x06, 0x1f, 0x2a, 0x11, 0xbb, 0x02
    }),
};
 
SHA256Compress SHA256Compress::EmptyRoot(size_t depth) {
    return sha256_empty_roots.at(depth);
}
 
template <size_t Depth, typename Hash>
class PathFiller {
private:
    std::deque<Hash> queue;
    static EmptyMerkleRoots<Depth, Hash> emptyroots;
public:
    PathFiller() : queue() { }
    explicit PathFiller(std::deque<Hash> queue) : queue(queue) { }
 
    Hash next(size_t depth) {
        if (queue.size() > 0) {
            Hash h = queue.front();
            queue.pop_front();
 
            return h;
        } else {
            return emptyroots.empty_root(depth);
        }
    }
 
};
 
template<size_t Depth, typename Hash>
EmptyMerkleRoots<Depth, Hash> PathFiller<Depth, Hash>::emptyroots;
 
template<size_t Depth, typename Hash>
void IncrementalMerkleTree<Depth, Hash>::wfcheck() const {
    if (parents.size() >= Depth) {
        throw std::ios_base::failure("tree has too many parents");
    }
 
    // The last parent cannot be null.
    if (!(parents.empty()) && !(parents.back())) {
        throw std::ios_base::failure("tree has non-canonical representation of parent");
    }
 
    // Left cannot be empty when right exists.
    if (!left && right) {
        throw std::ios_base::failure("tree has non-canonical representation; right should not exist");
    }
 
    // Left cannot be empty when parents is nonempty.
    if (!left && parents.size() > 0) {
        throw std::ios_base::failure("tree has non-canonical representation; parents should not be unempty");
    }
}
 
template<size_t Depth, typename Hash>
Hash IncrementalMerkleTree<Depth, Hash>::last() const {
    if (right) {
        return *right;
    } else if (left) {
        return *left;
    } else {
        throw std::runtime_error("tree has no cursor");
    }
}
 
template<size_t Depth, typename Hash>
size_t IncrementalMerkleTree<Depth, Hash>::size() const {
    size_t ret = 0;
    if (left) {
        ret++;
    }
    if (right) {
        ret++;
    }
    // Treat occupation of parents array as a binary number
    // (right-shifted by 1)
    for (size_t i = 0; i < parents.size(); i++) {
        if (parents[i]) {
            ret += (1 << (i+1));
        }
    }
    return ret;
}
 
template<size_t Depth, typename Hash>
void IncrementalMerkleTree<Depth, Hash>::append(Hash obj) {
    if (is_complete(Depth)) {
        throw std::runtime_error("tree is full");
    }
 
    if (!left) {
        // Set the left leaf
        left = obj;
    } else if (!right) {
        // Set the right leaf
        right = obj;
    } else {
        // Combine the leaves and propagate it up the tree
        Optional<Hash> combined = Hash::combine(*left, *right, 0);
 
        // Set the "left" leaf to the object and make the "right" leaf none
        left = obj;
        right = nullopt;
 
        for (size_t i = 0; i < Depth; i++) {
            if (i < parents.size()) {
                if (parents[i]) {
                    combined = Hash::combine(*parents[i], *combined, i+1);
                    parents[i] = nullopt;
                } else {
                    parents[i] = *combined;
                    break;
                }
            } else {
                parents.push_back(combined);
                break;
            }
        }
    }
}
 
// This is for allowing the witness to determine if a subtree has filled
// to a particular depth, or for append() to ensure we're not appending
// to a full tree.
template<size_t Depth, typename Hash>
bool IncrementalMerkleTree<Depth, Hash>::is_complete(size_t depth) const {
    if (!left || !right) {
        return false;
    }
 
    if (parents.size() != (depth - 1)) {
        return false;
    }
 
    for (const Optional<Hash>& parent : parents) {
        if (!parent) {
            return false;
        }
    }
 
    return true;
}
 
// This finds the next "depth" of an unfilled subtree, given that we've filled
// `skip` uncles/subtrees.
template<size_t Depth, typename Hash>
size_t IncrementalMerkleTree<Depth, Hash>::next_depth(size_t skip) const {
    if (!left) {
        if (skip) {
            skip--;
        } else {
            return 0;
        }
    }
 
    if (!right) {
        if (skip) {
            skip--;
        } else {
            return 0;
        }
    }
 
    size_t d = 1;
 
    for (const Optional<Hash>& parent : parents) {
        if (!parent) {
            if (skip) {
                skip--;
            } else {
                return d;
            }
        }
 
        d++;
    }
 
    return d + skip;
}
 
// This calculates the root of the tree.
template<size_t Depth, typename Hash>
Hash IncrementalMerkleTree<Depth, Hash>::root(size_t depth,
                                              std::deque<Hash> filler_hashes) const {
    PathFiller<Depth, Hash> filler(filler_hashes);
 
    Hash combine_left =  left  ? *left  : filler.next(0);
    Hash combine_right = right ? *right : filler.next(0);
 
    Hash root = Hash::combine(combine_left, combine_right, 0);
 
    size_t d = 1;
 
    for (const Optional<Hash>& parent : parents) {
        if (parent) {
            root = Hash::combine(*parent, root, d);
        } else {
            root = Hash::combine(root, filler.next(d), d);
        }
 
        d++;
    }
 
    // We may not have parents for ancestor trees, so we fill
    // the rest in here.
    while (d < depth) {
        root = Hash::combine(root, filler.next(d), d);
        d++;
    }
 
    return root;
}
 
// This constructs an authentication path into the tree in the format that the circuit
// wants. The caller provides `filler_hashes` to fill in the uncle subtrees.
template<size_t Depth, typename Hash>
MerklePath IncrementalMerkleTree<Depth, Hash>::path(std::deque<Hash> filler_hashes) const {
    if (!left) {
        throw std::runtime_error("can't create an authentication path for the beginning of the tree");
    }
 
    PathFiller<Depth, Hash> filler(filler_hashes);
 
    std::vector<Hash> path;
    std::vector<bool> index;
 
    if (right) {
        index.push_back(true);
        path.push_back(*left);
    } else {
        index.push_back(false);
        path.push_back(filler.next(0));
    }
 
    size_t d = 1;
 
    for (const Optional<Hash>& parent : parents) {
        if (parent) {
            index.push_back(true);
            path.push_back(*parent);
        } else {
            index.push_back(false);
            path.push_back(filler.next(d));
        }
 
        d++;
    }
 
    while (d < Depth) {
        index.push_back(false);
        path.push_back(filler.next(d));
        d++;
    }
 
    std::vector<std::vector<bool>> merkle_path;
    for (Hash b : path) {
        std::vector<unsigned char> hashv(b.begin(), b.end());
 
        merkle_path.push_back(convertBytesVectorToVector(hashv));
    }
 
    std::reverse(merkle_path.begin(), merkle_path.end());
    std::reverse(index.begin(), index.end());
 
    return MerklePath(merkle_path, index);
}
 
template<size_t Depth, typename Hash>
std::deque<Hash> IncrementalWitness<Depth, Hash>::partial_path() const {
    std::deque<Hash> uncles(filled.begin(), filled.end());
 
    if (cursor) {
        uncles.push_back(cursor->root(cursor_depth));
    }
 
    return uncles;
}
 
template<size_t Depth, typename Hash>
void IncrementalWitness<Depth, Hash>::append(Hash obj) {
    if (cursor) {
        cursor->append(obj);
 
        if (cursor->is_complete(cursor_depth)) {
            filled.push_back(cursor->root(cursor_depth));
            cursor = nullopt;
        }
    } else {
        cursor_depth = tree.next_depth(filled.size());
 
        if (cursor_depth >= Depth) {
            throw std::runtime_error("tree is full");
        }
 
        if (cursor_depth == 0) {
            filled.push_back(obj);
        } else {
            cursor = IncrementalMerkleTree<Depth, Hash>();
            cursor->append(obj);
        }
    }
}
 
template class IncrementalMerkleTree<INCREMENTAL_MERKLE_TREE_DEPTH, SHA256Compress>;
template class IncrementalMerkleTree<INCREMENTAL_MERKLE_TREE_DEPTH_TESTING, SHA256Compress>;
 
template class IncrementalWitness<INCREMENTAL_MERKLE_TREE_DEPTH, SHA256Compress>;
template class IncrementalWitness<INCREMENTAL_MERKLE_TREE_DEPTH_TESTING, SHA256Compress>;
 
template class IncrementalMerkleTree<SAPLING_INCREMENTAL_MERKLE_TREE_DEPTH, PedersenHash>;
template class IncrementalMerkleTree<INCREMENTAL_MERKLE_TREE_DEPTH_TESTING, PedersenHash>;
 
template class IncrementalWitness<SAPLING_INCREMENTAL_MERKLE_TREE_DEPTH, PedersenHash>;
template class IncrementalWitness<INCREMENTAL_MERKLE_TREE_DEPTH_TESTING, PedersenHash>;
 
} // end namespace `libzcash`