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MathGadgets.h
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MathGadgets.h
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// SPDX-License-Identifier: Apache-2.0
// Copyright 2017 Loopring Technology Limited.
// Modified by DeGate DAO, 2022
#ifndef _MATHGADGETS_H_
#define _MATHGADGETS_H_
#include "../Utils/Constants.h"
#include "../Utils/Data.h"
#include "ethsnarks.hpp"
#include "utils.hpp"
#include "jubjub/point.hpp"
#include "jubjub/eddsa.hpp"
#include "gadgets/subadd.hpp"
#include "gadgets/poseidon.hpp"
using namespace ethsnarks;
using namespace jubjub;
namespace Loopring
{
// All Poseidon permutations used
using Poseidon_2 = Poseidon_gadget_T<3, 1, 6, 51, 2, 1>;
template <unsigned n_outputs> using Poseidon_4_ = Poseidon_gadget_T<5, 1, 6, 52, n_outputs, 1>;
using Poseidon_4 = Poseidon_4_<4>;
using Poseidon_5 = Poseidon_gadget_T<6, 1, 6, 52, 5, 1>;
using Poseidon_6 = Poseidon_gadget_T<7, 1, 6, 52, 6, 1>;
using Poseidon_7 = Poseidon_gadget_T<8, 1, 6, 53, 7, 1>;
using Poseidon_8 = Poseidon_gadget_T<9, 1, 6, 53, 8, 1>;
using Poseidon_9 = Poseidon_gadget_T<10, 1, 6, 53, 9, 1>;
using Poseidon_10 = Poseidon_gadget_T<11, 1, 6, 53, 10, 1>;
using Poseidon_11 = Poseidon_gadget_T<12, 1, 6, 53, 11, 1>;
using Poseidon_12 = Poseidon_gadget_T<13, 1, 6, 53, 12, 1>;
using Poseidon_13 = Poseidon_gadget_T<14, 1, 6, 53, 13, 1>;
using Poseidon_14 = Poseidon_gadget_T<15, 1, 6, 53, 14, 1>;
using Poseidon_15 = Poseidon_gadget_T<16, 1, 6, 53, 15, 1>;
using Poseidon_16 = Poseidon_gadget_T<17, 1, 6, 53, 16, 1>;
// using Poseidon_17 = Poseidon_gadget_T<18, 1, 6, 53, 17, 1>;
using Poseidon_18 = Poseidon_gadget_T<19, 1, 6, 53, 18, 1>;
// require(A == B)
static void requireEqual( //
ProtoboardT &pb,
const VariableT &A,
const VariableT &B,
const std::string &annotation_prefix)
{
pb.add_r1cs_constraint( //
ConstraintT(A, FieldT::one(), B),
FMT(annotation_prefix, ".requireEqual"));
}
// Constants stored in a VariableT for ease of use
class Constants : public GadgetT
{
public:
const VariableT _0;
const VariableT _1;
const VariableT _2;
const VariableT _3;
const VariableT _4;
const VariableT _5;
const VariableT _6;
const VariableT _7;
const VariableT _8;
const VariableT _9;
const VariableT _10;
const VariableT _11;
const VariableT _12;
const VariableT _13;
const VariableT _14;
const VariableT _15;
const VariableT _16;
const VariableT _17;
const VariableT _100;
const VariableT _1000;
const VariableT _1001;
const VariableT _10000;
const VariableT _100000;
const VariableT _2Pow30;
const VariableT fixedBase;
const VariableT emptyStorage;
const VariableT maxAmount;
const VariableT numStorageSlots;
const VariableT txTypeSpotTrade;
const VariableT txTypeBatchSpotTrade;
const VariableT txTypeTransfer;
const VariableT txTypeWithdrawal;
const VariableT txTypeOrderCancel;
const VariableT txTypeAppKeyUpdate;
const VariableT feeMultiplier;
const VariableT depositType;
const VariableT accountUpdateType;
const VariableT withdrawType;
const VariableArrayT zeroAccount;
std::vector<VariableT> values;
Constants( //
ProtoboardT &pb,
const std::string &prefix)
: GadgetT(pb, prefix),
_0(make_variable(pb, FieldT::zero(), FMT(prefix, ".zero"))),
_1(make_variable(pb, FieldT::one(), FMT(prefix, ".one"))),
_2(make_variable(pb, ethsnarks::FieldT(2), FMT(prefix, ".two"))),
_3(make_variable(pb, ethsnarks::FieldT(3), FMT(prefix, ".three"))),
_4(make_variable(pb, ethsnarks::FieldT(4), FMT(prefix, ".four"))),
_5(make_variable(pb, ethsnarks::FieldT(5), FMT(prefix, ".five"))),
_6(make_variable(pb, ethsnarks::FieldT(6), FMT(prefix, ".six"))),
_7(make_variable(pb, ethsnarks::FieldT(7), FMT(prefix, ".seven"))),
_8(make_variable(pb, ethsnarks::FieldT(8), FMT(prefix, ".eight"))),
_9(make_variable(pb, ethsnarks::FieldT(9), FMT(prefix, ".nine"))),
_10(make_variable(pb, ethsnarks::FieldT(10), FMT(prefix, ".ten"))),
_11(make_variable(pb, ethsnarks::FieldT(11), FMT(prefix, ".11"))),
_12(make_variable(pb, ethsnarks::FieldT(12), FMT(prefix, ".12"))),
_13(make_variable(pb, ethsnarks::FieldT(13), FMT(prefix, ".13"))),
_14(make_variable(pb, ethsnarks::FieldT(14), FMT(prefix, ".14"))),
_15(make_variable(pb, ethsnarks::FieldT(15), FMT(prefix, ".15"))),
_16(make_variable(pb, ethsnarks::FieldT(16), FMT(prefix, ".16"))),
_17(make_variable(pb, ethsnarks::FieldT(17), FMT(prefix, ".17"))),
_100(make_variable(pb, ethsnarks::FieldT(100), FMT(prefix, "._100"))),
_1000(make_variable(pb, ethsnarks::FieldT(1000), FMT(prefix, "._1000"))),
_1001(make_variable(pb, ethsnarks::FieldT(1001), FMT(prefix, "._1001"))),
_10000(make_variable(pb, ethsnarks::FieldT(10000), FMT(prefix, "._10000"))),
_100000(make_variable(pb, ethsnarks::FieldT(100000), FMT(prefix, "._100000"))),
_2Pow30(make_variable(pb, ethsnarks::FieldT(1073741824), FMT(prefix, "._2Pow30"))),
fixedBase(make_variable(pb, ethsnarks::FieldT(FIXED_BASE), FMT(prefix, ".fixedBase"))),
emptyStorage(make_variable(pb, ethsnarks::FieldT(EMPTY_TRADE_HISTORY), FMT(prefix, ".emptyStorage"))),
maxAmount(make_variable(pb, ethsnarks::FieldT(MAX_AMOUNT), FMT(prefix, ".maxAmount"))),
numStorageSlots(make_variable(pb, ethsnarks::FieldT(NUM_STORAGE_SLOTS), FMT(prefix, ".numStorageSlots"))),
txTypeSpotTrade(
make_variable(pb, ethsnarks::FieldT(int(TransactionType::SpotTrade)), FMT(prefix, ".txTypeSpotTrade"))),
txTypeBatchSpotTrade(
make_variable(pb, ethsnarks::FieldT(int(TransactionType::BatchSpotTrade)), FMT(prefix, ".txTypeBatchSpotTrade"))),
txTypeTransfer(
make_variable(pb, ethsnarks::FieldT(int(TransactionType::Transfer)), FMT(prefix, ".txTypeTransfer"))),
txTypeWithdrawal(
make_variable(pb, ethsnarks::FieldT(int(TransactionType::Withdrawal)), FMT(prefix, ".txTypeWithdrawal"))),
txTypeOrderCancel(
make_variable(pb, ethsnarks::FieldT(int(TransactionType::OrderCancel)), FMT(prefix, ".txTypeOrderCancel"))),
txTypeAppKeyUpdate(
make_variable(pb, ethsnarks::FieldT(int(TransactionType::AppKeyUpdate)), FMT(prefix, ".txTypeAppKeyUpdate"))),
feeMultiplier(make_variable(pb, ethsnarks::FieldT(FEE_MULTIPLIER), FMT(prefix, ".feeMultiplier"))),
depositType(make_variable(pb, ethsnarks::FieldT(6), FMT(prefix, ".depositType"))),
accountUpdateType(make_variable(pb, ethsnarks::FieldT(7), FMT(prefix, ".accountUpdateType"))),
withdrawType(make_variable(pb, ethsnarks::FieldT(8), FMT(prefix, ".withdrawType"))),
zeroAccount(NUM_BITS_ACCOUNT, _0)
{
assert(NUM_BITS_MAX_VALUE == FieldT::size_in_bits());
assert(NUM_BITS_FIELD_CAPACITY == FieldT::capacity());
values.push_back(_0);
values.push_back(_1);
values.push_back(_2);
values.push_back(_3);
values.push_back(_4);
values.push_back(_5);
values.push_back(_6);
values.push_back(_7);
values.push_back(_8);
values.push_back(_9);
values.push_back(_10);
values.push_back(_11);
values.push_back(_12);
values.push_back(_13);
values.push_back(_14);
values.push_back(_15);
values.push_back(_16);
values.push_back(_17);
}
void generate_r1cs_witness()
{
}
void generate_r1cs_constraints()
{
pb.add_r1cs_constraint(ConstraintT(_0, FieldT::one(), FieldT::zero()), ".zero");
pb.add_r1cs_constraint(ConstraintT(_1, FieldT::one(), FieldT::one()), ".one");
pb.add_r1cs_constraint(ConstraintT(_2, FieldT::one(), FieldT(2)), ".two");
pb.add_r1cs_constraint(ConstraintT(_3, FieldT::one(), FieldT(3)), ".three");
pb.add_r1cs_constraint(ConstraintT(_4, FieldT::one(), FieldT(4)), ".four");
pb.add_r1cs_constraint(ConstraintT(_5, FieldT::one(), FieldT(5)), ".five");
pb.add_r1cs_constraint(ConstraintT(_6, FieldT::one(), FieldT(6)), ".six");
pb.add_r1cs_constraint(ConstraintT(_7, FieldT::one(), FieldT(7)), ".seven");
pb.add_r1cs_constraint(ConstraintT(_8, FieldT::one(), FieldT(8)), ".eight");
pb.add_r1cs_constraint(ConstraintT(_9, FieldT::one(), FieldT(9)), ".nine");
pb.add_r1cs_constraint(ConstraintT(_10, FieldT::one(), FieldT(10)), ".ten");
pb.add_r1cs_constraint(ConstraintT(_11, FieldT::one(), FieldT(11)), ".11");
pb.add_r1cs_constraint(ConstraintT(_12, FieldT::one(), FieldT(12)), ".12");
pb.add_r1cs_constraint(ConstraintT(_13, FieldT::one(), FieldT(13)), ".13");
pb.add_r1cs_constraint(ConstraintT(_14, FieldT::one(), FieldT(14)), ".14");
pb.add_r1cs_constraint(ConstraintT(_15, FieldT::one(), FieldT(15)), ".15");
pb.add_r1cs_constraint(ConstraintT(_16, FieldT::one(), FieldT(16)), ".16");
pb.add_r1cs_constraint(ConstraintT(_17, FieldT::one(), FieldT(17)), ".17");
pb.add_r1cs_constraint(ConstraintT(_100, FieldT::one(), ethsnarks::FieldT(100)), "._100");
pb.add_r1cs_constraint(ConstraintT(_1000, FieldT::one(), ethsnarks::FieldT(1000)), "._1000");
pb.add_r1cs_constraint(ConstraintT(_1001, FieldT::one(), ethsnarks::FieldT(1001)), "._1001");
pb.add_r1cs_constraint(ConstraintT(_10000, FieldT::one(), ethsnarks::FieldT(10000)), "._10000");
pb.add_r1cs_constraint(ConstraintT(_100000, FieldT::one(), ethsnarks::FieldT(100000)), "._100000");
pb.add_r1cs_constraint(ConstraintT(_2Pow30, FieldT::one(), ethsnarks::FieldT(1073741824)), "._2Pow30");
pb.add_r1cs_constraint(ConstraintT(fixedBase, FieldT::one(), ethsnarks::FieldT(FIXED_BASE)), ".fixedBase");
pb.add_r1cs_constraint(
ConstraintT(emptyStorage, FieldT::one(), ethsnarks::FieldT(EMPTY_TRADE_HISTORY)), ".emptyStorage");
pb.add_r1cs_constraint(ConstraintT(maxAmount, FieldT::one(), ethsnarks::FieldT(MAX_AMOUNT)), ".maxAmount");
pb.add_r1cs_constraint(
ConstraintT(numStorageSlots, FieldT::one(), ethsnarks::FieldT(NUM_STORAGE_SLOTS)), ".numStorageSlots");
pb.add_r1cs_constraint(
ConstraintT(txTypeSpotTrade, FieldT::one(), ethsnarks::FieldT(int(TransactionType::SpotTrade))),
".txTypeSpotTrade");
pb.add_r1cs_constraint(ConstraintT(txTypeBatchSpotTrade, FieldT::one(), ethsnarks::FieldT(int(TransactionType::BatchSpotTrade))), ".txTypeBatchSpotTrade");
pb.add_r1cs_constraint(
ConstraintT(txTypeTransfer, FieldT::one(), ethsnarks::FieldT(int(TransactionType::Transfer))),
".txTypeTransfer");
pb.add_r1cs_constraint(
ConstraintT(txTypeWithdrawal, FieldT::one(), ethsnarks::FieldT(int(TransactionType::Withdrawal))),
".txTypeWithdrawal");
pb.add_r1cs_constraint(
ConstraintT(txTypeOrderCancel, FieldT::one(), ethsnarks::FieldT(int(TransactionType::OrderCancel))),
".txTypeOrderCancel");
pb.add_r1cs_constraint(
ConstraintT(txTypeAppKeyUpdate, FieldT::one(), ethsnarks::FieldT(int(TransactionType::AppKeyUpdate))),
".txTypeAppKeyUpdate");
pb.add_r1cs_constraint(
ConstraintT(feeMultiplier, FieldT::one(), ethsnarks::FieldT(FEE_MULTIPLIER)), ".feeMultiplier");
pb.add_r1cs_constraint(ConstraintT(depositType, FieldT::one(), FieldT(6)), ".depositType");
pb.add_r1cs_constraint(ConstraintT(accountUpdateType, FieldT::one(), FieldT(7)), ".accountUpdateType");
pb.add_r1cs_constraint(ConstraintT(withdrawType, FieldT::one(), FieldT(8)), ".withdrawType");
}
};
class DualVariableGadget : public libsnark::dual_variable_gadget<FieldT>
{
public:
DualVariableGadget( //
ProtoboardT &pb,
const size_t width,
const std::string &prefix)
: libsnark::dual_variable_gadget<FieldT>(pb, width, prefix)
{
}
void generate_r1cs_witness( //
ProtoboardT &pb,
const FieldT &value)
{
pb.val(packed) = value;
generate_r1cs_witness_from_packed();
}
void generate_r1cs_witness( //
ProtoboardT &pb,
const LimbT &value)
{
assert(value.max_bits() == 256);
for (unsigned int i = 0; i < 256; i++)
{
pb.val(bits[255 - i]) = value.test_bit(i);
}
generate_r1cs_witness_from_bits();
}
void generate_r1cs_constraints(bool enforce = true)
{
libsnark::dual_variable_gadget<FieldT>::generate_r1cs_constraints(enforce);
}
};
class ToBitsGadget : public libsnark::dual_variable_gadget<FieldT>
{
public:
ToBitsGadget( //
ProtoboardT &pb,
const VariableT &value,
const size_t width,
const std::string &prefix)
: libsnark::dual_variable_gadget<FieldT>(pb, value, width, prefix)
{
}
void generate_r1cs_witness()
{
generate_r1cs_witness_from_packed();
}
void generate_r1cs_constraints()
{
libsnark::dual_variable_gadget<FieldT>::generate_r1cs_constraints(true);
}
};
typedef ToBitsGadget RangeCheckGadget;
class FromBitsGadget : public libsnark::dual_variable_gadget<FieldT>
{
public:
FromBitsGadget( //
ProtoboardT &pb,
const VariableArrayT &bits,
const std::string &prefix)
: libsnark::dual_variable_gadget<FieldT>(pb, bits, prefix)
{
}
void generate_r1cs_witness()
{
generate_r1cs_witness_from_bits();
}
void generate_r1cs_constraints(bool enforce = true)
{
libsnark::dual_variable_gadget<FieldT>::generate_r1cs_constraints(enforce);
}
};
// Helper function that contains the history of all the values of a variable
class DynamicVariableGadget : public GadgetT
{
public:
std::vector<VariableT> variables;
DynamicVariableGadget( //
ProtoboardT &pb,
const VariableT &initialValue,
const std::string &prefix)
: GadgetT(pb, prefix)
{
add(initialValue);
}
const VariableT &front() const
{
return variables.front();
}
const VariableT &back() const
{
return variables.back();
}
void add(const VariableT &variable)
{
variables.push_back(variable);
}
};
// A - B
class UnsafeSubGadget : public GadgetT
{
public:
VariableT value;
VariableT sub;
VariableT sum;
UnsafeSubGadget( //
ProtoboardT &pb,
const VariableT &_value,
const VariableT &_sub,
const std::string &prefix)
: GadgetT( //
pb,
prefix),
value(_value),
sub(_sub),
sum(make_variable(pb, FMT(prefix, ".sum")))
{
}
const VariableT &result() const
{
return sum;
}
void generate_r1cs_witness()
{
pb.val(sum) = pb.val(value) - pb.val(sub);
}
void generate_r1cs_constraints()
{
pb.add_r1cs_constraint(
ConstraintT( //
value - sub,
FieldT::one(),
sum),
FMT(annotation_prefix, ".value - sub = sum"));
}
};
// A + B
class UnsafeAddGadget : public GadgetT
{
public:
VariableT value;
VariableT add;
VariableT sum;
UnsafeAddGadget( //
ProtoboardT &pb,
const VariableT &_value,
const VariableT &_add,
const std::string &prefix)
: GadgetT( //
pb,
prefix),
value(_value),
add(_add),
sum(make_variable(pb, FMT(prefix, ".sum")))
{
}
const VariableT &result() const
{
return sum;
}
void generate_r1cs_witness()
{
pb.val(sum) = pb.val(value) + pb.val(add);
}
void generate_r1cs_constraints()
{
pb.add_r1cs_constraint(
ConstraintT( //
value + add,
FieldT::one(),
sum),
FMT(annotation_prefix, ".value + add = sum"));
}
};
// A * B
class UnsafeMulGadget : public GadgetT
{
public:
VariableT valueA;
VariableT valueB;
VariableT product;
UnsafeMulGadget( //
ProtoboardT &pb,
const VariableT &_valueA,
const VariableT &_valueB,
const std::string &prefix)
: GadgetT( //
pb,
prefix),
valueA(_valueA),
valueB(_valueB),
product(make_variable(pb, FMT(prefix, ".product")))
{
}
const VariableT &result() const
{
return product;
}
void generate_r1cs_witness()
{
pb.val(product) = pb.val(valueA) * pb.val(valueB);
}
void generate_r1cs_constraints()
{
pb.add_r1cs_constraint( //
ConstraintT(valueA, valueB, product),
".valueA * valueB = product");
}
};
// A * B
class SafeMulGadget : public GadgetT
{
public:
UnsafeMulGadget unsafeMul;
RangeCheckGadget rangeCheck;
SafeMulGadget( //
ProtoboardT &pb,
const VariableT &_valueA,
const VariableT &_valueB,
unsigned int n,
const std::string &prefix)
: GadgetT( //
pb,
prefix),
unsafeMul(pb, _valueA, _valueB, FMT(prefix, ".unsafeMul")),
rangeCheck(pb, unsafeMul.product, n, FMT(prefix, ".rangeCheck"))
{
}
const VariableT &result() const
{
return unsafeMul.product;
}
void generate_r1cs_witness()
{
unsafeMul.generate_r1cs_witness();
rangeCheck.generate_r1cs_witness();
}
void generate_r1cs_constraints()
{
unsafeMul.generate_r1cs_constraints();
rangeCheck.generate_r1cs_constraints();
}
};
// A + B = sum with A, B and sum < 2^n
//
// This gadget is not designed to handle inputs of more than a couple of
// variables. Therefore, we have not optimized the constraints as suggested
// in https://github.com/daira/r1cs/blob/master/zkproofs.pdf.
class AddGadget : public GadgetT
{
public:
UnsafeAddGadget unsafeAdd;
RangeCheckGadget rangeCheck;
AddGadget( //
ProtoboardT &pb,
const VariableT &A,
const VariableT &B,
unsigned int n,
const std::string &prefix)
: GadgetT(pb, prefix),
unsafeAdd(pb, A, B, FMT(prefix, ".unsafeAdd")),
rangeCheck(pb, unsafeAdd.result(), n, FMT(prefix, ".rangeCheck"))
{
assert(n + 1 <= NUM_BITS_FIELD_CAPACITY);
}
void generate_r1cs_witness()
{
unsafeAdd.generate_r1cs_witness();
rangeCheck.generate_r1cs_witness();
}
void generate_r1cs_constraints()
{
unsafeAdd.generate_r1cs_constraints();
rangeCheck.generate_r1cs_constraints();
}
const VariableT &result() const
{
return unsafeAdd.result();
}
};
// A - B = sub with A, B and sub >= 0
class SubGadget : public GadgetT
{
public:
UnsafeSubGadget unsafeSub;
RangeCheckGadget rangeCheck;
SubGadget( //
ProtoboardT &pb,
const VariableT &A,
const VariableT &B,
unsigned int n,
const std::string &prefix)
: GadgetT(pb, prefix),
unsafeSub(pb, A, B, FMT(prefix, ".unsafeAdd")),
rangeCheck(pb, unsafeSub.result(), n, FMT(prefix, ".rangeCheck"))
{
assert(n + 1 <= NUM_BITS_FIELD_CAPACITY);
}
void generate_r1cs_witness()
{
unsafeSub.generate_r1cs_witness();
rangeCheck.generate_r1cs_witness();
}
void generate_r1cs_constraints()
{
unsafeSub.generate_r1cs_constraints();
rangeCheck.generate_r1cs_constraints();
}
const VariableT &result() const
{
return unsafeSub.result();
}
};
// Helper function to do transfers
class TransferGadget : public GadgetT
{
public:
SubGadget sub;
AddGadget add;
TransferGadget(
ProtoboardT &pb,
DynamicVariableGadget &from,
DynamicVariableGadget &to,
const VariableT &value,
const std::string &prefix)
: GadgetT(pb, prefix),
sub(pb, from.back(), value, NUM_BITS_AMOUNT_MAX, FMT(prefix, ".sub")),
add(pb, to.back(), value, NUM_BITS_AMOUNT_MAX, FMT(prefix, ".add"))
{
from.add(sub.result());
to.add(add.result());
}
void generate_r1cs_witness()
{
sub.generate_r1cs_witness();
add.generate_r1cs_witness();
}
void generate_r1cs_constraints()
{
sub.generate_r1cs_constraints();
add.generate_r1cs_constraints();
}
};
// Balance changes, new additions and subtractions
class BalanceExchangeGadget : public GadgetT
{
public:
AddGadget add;
SubGadget sub;
BalanceExchangeGadget(
ProtoboardT &pb,
DynamicVariableGadget &from,
const VariableT &increase,
const VariableT &reduce,
const std::string &prefix)
: GadgetT(pb, prefix),
add(pb, from.back(), increase, NUM_BITS_AMOUNT_MAX, FMT(prefix, ".add")),
sub(pb, add.result(), reduce, NUM_BITS_AMOUNT_MAX, FMT(prefix, ".sub"))
{
// Keep the final result
from.add(sub.result());
}
void generate_r1cs_witness()
{
add.generate_r1cs_witness();
sub.generate_r1cs_witness();
}
void generate_r1cs_constraints()
{
add.generate_r1cs_constraints();
sub.generate_r1cs_constraints();
}
};
class BalanceReduceGadget : public GadgetT
{
public:
SubGadget sub;
BalanceReduceGadget(
ProtoboardT &pb,
DynamicVariableGadget &from,
const VariableT &reduce,
const std::string &prefix)
: GadgetT(pb, prefix),
sub(pb, from.back(), reduce, NUM_BITS_AMOUNT_MAX, FMT(prefix, ".sub"))
{
// Keep the final result
from.add(sub.result());
}
void generate_r1cs_witness()
{
sub.generate_r1cs_witness();
}
void generate_r1cs_constraints()
{
sub.generate_r1cs_constraints();
}
};
class BalanceIncreaseGadget : public GadgetT
{
public:
AddGadget add;
BalanceIncreaseGadget(
ProtoboardT &pb,
DynamicVariableGadget &from,
const VariableT &increase,
const std::string &prefix)
: GadgetT(pb, prefix),
add(pb, from.back(), increase, NUM_BITS_AMOUNT_MAX, FMT(prefix, ".add"))
{
// Keep the final result
from.add(add.result());
}
void generate_r1cs_witness()
{
add.generate_r1cs_witness();
}
void generate_r1cs_constraints()
{
add.generate_r1cs_constraints();
}
const VariableT &result() const
{
return add.result();
}
};
// b ? A : B
class TernaryGadget : public GadgetT
{
public:
VariableT b;
VariableT x;
VariableT y;
VariableT selected;
TernaryGadget(
ProtoboardT &pb,
const VariableT &_b,
const VariableT &_x,
const VariableT &_y,
const std::string &prefix)
: GadgetT(pb, prefix),
b(_b),
x(_x),
y(_y),
selected(make_variable(pb, FMT(prefix, ".selected")))
{
}
const VariableT &result() const
{
return selected;
}
void generate_r1cs_witness()
{
pb.val(selected) = (pb.val(b) == FieldT::one()) ? pb.val(x) : pb.val(y);
}
void generate_r1cs_constraints(bool enforceBitness = true)
{
if (enforceBitness)
{
libsnark::generate_boolean_r1cs_constraint<ethsnarks::FieldT>(pb, b, FMT(annotation_prefix, ".bitness"));
}
pb.add_r1cs_constraint(
ConstraintT(b, y - x, y - selected), FMT(annotation_prefix, ".b * (y - x) == (y - selected)"));
}
};
// b ? A[] : B[]
class ArrayTernaryGadget : public GadgetT
{
public:
VariableT b;
std::vector<TernaryGadget> results;
VariableArrayT res;
ArrayTernaryGadget(
ProtoboardT &pb,
const VariableT &_b,
const VariableArrayT &x,
const VariableArrayT &y,
const std::string &prefix)
: GadgetT(pb, prefix), b(_b)
{
assert(x.size() == y.size());
results.reserve(x.size());
for (unsigned int i = 0; i < x.size(); i++)
{
results.emplace_back(pb, b, x[i], y[i], FMT(prefix, ".results"));
res.emplace_back(results.back().result());
}
}
void generate_r1cs_witness()
{
for (unsigned int i = 0; i < results.size(); i++)
{
results[i].generate_r1cs_witness();
}
}
void generate_r1cs_constraints(bool enforceBitness = true)
{
if (enforceBitness)
{
libsnark::generate_boolean_r1cs_constraint<ethsnarks::FieldT>(pb, b, FMT(annotation_prefix, ".bitness"));
}
for (unsigned int i = 0; i < results.size(); i++)
{
results[i].generate_r1cs_constraints(false);
}
}
const VariableArrayT &result() const
{
return res;
}
};
// b ? A[][] : B[][]
class VectorArrayTernaryGadget : public GadgetT
{
public:
VariableT b;
std::vector<ArrayTernaryGadget> results;
std::vector<VariableArrayT> res;
VectorArrayTernaryGadget(
ProtoboardT &pb,
const VariableT &_b,
const std::vector<VariableArrayT> &x,
const std::vector<VariableArrayT> &y,
const std::string &prefix)
: GadgetT(pb, prefix), b(_b)
{
assert(x.size() == y.size());
results.reserve(x.size());
for (unsigned int i = 0; i < x.size(); i++)
{
results.emplace_back(pb, b, x[i], y[i], FMT(prefix, ".results"));
res.emplace_back(results.back().result());
}
}
void generate_r1cs_witness()
{
for (unsigned int i = 0; i < results.size(); i++)
{
results[i].generate_r1cs_witness();
}
}
void generate_r1cs_constraints(bool enforceBitness = true)
{
if (enforceBitness)
{
libsnark::generate_boolean_r1cs_constraint<ethsnarks::FieldT>(pb, b, FMT(annotation_prefix, ".bitness"));
}
for (unsigned int i = 0; i < results.size(); i++)
{
results[i].generate_r1cs_constraints(false);
}
}
const std::vector<VariableArrayT> &result() const
{
return res;
}
};
// (input[0] && input[1] && ...) (all inputs need to be boolean)
class AndGadget : public GadgetT
{
public:
std::vector<VariableT> inputs;
std::vector<VariableT> results;
AndGadget( //
ProtoboardT &pb,
const std::vector<VariableT> &_inputs,
const std::string &prefix)
: GadgetT(pb, prefix), inputs(_inputs)
{
assert(inputs.size() > 1);
for (unsigned int i = 1; i < inputs.size(); i++)
{
results.emplace_back(make_variable(pb, FMT(prefix, ".results")));
}
}
const VariableT &result() const
{
return results.back();
}
void generate_r1cs_witness()
{
pb.val(results[0]) = pb.val(inputs[0]) * pb.val(inputs[1]);
for (unsigned int i = 2; i < inputs.size(); i++)
{
pb.val(results[i - 1]) = pb.val(results[i - 2]) * pb.val(inputs[i]);
}
}
void generate_r1cs_constraints()
{
// This can be done more efficiently but since we never have any long inputs, it is not needed
if (inputs.size() > 3)
{
std::cout << "[AndGadget] unexpected input length " << inputs.size() << std::endl;
}
pb.add_r1cs_constraint(ConstraintT(inputs[0], inputs[1], results[0]), FMT(annotation_prefix, ".A && B"));
for (unsigned int i = 2; i < inputs.size(); i++)
{
pb.add_r1cs_constraint(
ConstraintT(inputs[i], results[i - 2], results[i - 1]), FMT(annotation_prefix, ".A && B"));
}
}
};
class AndThreeGadget : public GadgetT
{
public:
std::vector<VariableT> inputs;
std::vector<VariableT> results;
AndThreeGadget( //
ProtoboardT &pb,
const VariableT &first,
const VariableT &second,
const VariableT &three,
const std::string &prefix)
: GadgetT(pb, prefix)
{
inputs.emplace_back(first);
inputs.emplace_back(second);
inputs.emplace_back(three);
for (unsigned int i = 1; i < inputs.size(); i++)
{
results.emplace_back(make_variable(pb, FMT(prefix, ".results")));
}
}
const VariableT &result() const
{
return results.back();
}
void generate_r1cs_witness()
{
pb.val(results[0]) = pb.val(inputs[0]) * pb.val(inputs[1]);
for (unsigned int i = 2; i < inputs.size(); i++)
{
pb.val(results[i - 1]) = pb.val(results[i - 2]) * pb.val(inputs[i]);
}
}
void generate_r1cs_constraints()
{
// This can be done more efficiently but since we never have any long inputs, it is not needed
if (inputs.size() > 3)
{
std::cout << "[AndGadget] unexpected input length " << inputs.size() << std::endl;
}
pb.add_r1cs_constraint(ConstraintT(inputs[0], inputs[1], results[0]), FMT(annotation_prefix, ".A && B"));
for (unsigned int i = 2; i < inputs.size(); i++)
{
pb.add_r1cs_constraint(
ConstraintT(inputs[i], results[i - 2], results[i - 1]), FMT(annotation_prefix, ".A && B"));
}
}
};
class AndTwoGadget : public GadgetT
{
public:
std::vector<VariableT> inputs;
std::vector<VariableT> results;
AndTwoGadget( //
ProtoboardT &pb,
const VariableT &first,
const VariableT &second,
const std::string &prefix)
: GadgetT(pb, prefix)
{
inputs.emplace_back(first);
inputs.emplace_back(second);
for (unsigned int i = 1; i < inputs.size(); i++)
{
results.emplace_back(make_variable(pb, FMT(prefix, ".results")));
}