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authorDimitry <winsvega@mail.ru>2016-03-21 16:55:45 +0800
committerDimitry <winsvega@mail.ru>2016-03-21 16:55:45 +0800
commitb50e65437ebad535af29e84156b8b1af71f61c3d (patch)
treef2594fc7b539e5848f4fc08ebcfafedab90e00b5 /libevmasm/ExpressionClasses.cpp
parent2fe6037b9bc42946dafbf0f870ca59546712d14c (diff)
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move libevmasm
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diff --git a/libevmasm/ExpressionClasses.cpp b/libevmasm/ExpressionClasses.cpp
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+/*
+ This file is part of cpp-ethereum.
+
+ cpp-ethereum is free software: you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ cpp-ethereum is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with cpp-ethereum. If not, see <http://www.gnu.org/licenses/>.
+*/
+/**
+ * @file ExpressionClasses.cpp
+ * @author Christian <c@ethdev.com>
+ * @date 2015
+ * Container for equivalence classes of expressions for use in common subexpression elimination.
+ */
+
+#include <libevmasm/ExpressionClasses.h>
+#include <utility>
+#include <tuple>
+#include <functional>
+#include <boost/range/adaptor/reversed.hpp>
+#include <boost/noncopyable.hpp>
+#include <libevmasm/Assembly.h>
+#include <libevmasm/CommonSubexpressionEliminator.h>
+
+using namespace std;
+using namespace dev;
+using namespace dev::eth;
+
+
+bool ExpressionClasses::Expression::operator<(ExpressionClasses::Expression const& _other) const
+{
+ assertThrow(!!item && !!_other.item, OptimizerException, "");
+ auto type = item->type();
+ auto otherType = _other.item->type();
+ return std::tie(type, item->data(), arguments, sequenceNumber) <
+ std::tie(otherType, _other.item->data(), _other.arguments, _other.sequenceNumber);
+}
+
+ExpressionClasses::Id ExpressionClasses::find(
+ AssemblyItem const& _item,
+ Ids const& _arguments,
+ bool _copyItem,
+ unsigned _sequenceNumber
+)
+{
+ Expression exp;
+ exp.id = Id(-1);
+ exp.item = &_item;
+ exp.arguments = _arguments;
+ exp.sequenceNumber = _sequenceNumber;
+
+ if (SemanticInformation::isCommutativeOperation(_item))
+ sort(exp.arguments.begin(), exp.arguments.end());
+
+ if (SemanticInformation::isDeterministic(_item))
+ {
+ auto it = m_expressions.find(exp);
+ if (it != m_expressions.end())
+ return it->id;
+ }
+
+ if (_copyItem)
+ exp.item = storeItem(_item);
+
+ ExpressionClasses::Id id = tryToSimplify(exp);
+ if (id < m_representatives.size())
+ exp.id = id;
+ else
+ {
+ exp.id = m_representatives.size();
+ m_representatives.push_back(exp);
+ }
+ m_expressions.insert(exp);
+ return exp.id;
+}
+
+void ExpressionClasses::forceEqual(
+ ExpressionClasses::Id _id,
+ AssemblyItem const& _item,
+ ExpressionClasses::Ids const& _arguments,
+ bool _copyItem
+)
+{
+ Expression exp;
+ exp.id = _id;
+ exp.item = &_item;
+ exp.arguments = _arguments;
+
+ if (SemanticInformation::isCommutativeOperation(_item))
+ sort(exp.arguments.begin(), exp.arguments.end());
+
+ if (_copyItem)
+ exp.item = storeItem(_item);
+
+ m_expressions.insert(exp);
+}
+
+ExpressionClasses::Id ExpressionClasses::newClass(SourceLocation const& _location)
+{
+ Expression exp;
+ exp.id = m_representatives.size();
+ exp.item = storeItem(AssemblyItem(UndefinedItem, (u256(1) << 255) + exp.id, _location));
+ m_representatives.push_back(exp);
+ m_expressions.insert(exp);
+ return exp.id;
+}
+
+bool ExpressionClasses::knownToBeDifferent(ExpressionClasses::Id _a, ExpressionClasses::Id _b)
+{
+ // Try to simplify "_a - _b" and return true iff the value is a non-zero constant.
+ return knownNonZero(find(Instruction::SUB, {_a, _b}));
+}
+
+bool ExpressionClasses::knownToBeDifferentBy32(ExpressionClasses::Id _a, ExpressionClasses::Id _b)
+{
+ // Try to simplify "_a - _b" and return true iff the value is at least 32 away from zero.
+ u256 const* v = knownConstant(find(Instruction::SUB, {_a, _b}));
+ // forbidden interval is ["-31", 31]
+ return v && *v + 31 > u256(62);
+}
+
+bool ExpressionClasses::knownZero(Id _c)
+{
+ return Pattern(u256(0)).matches(representative(_c), *this);
+}
+
+bool ExpressionClasses::knownNonZero(Id _c)
+{
+ return Pattern(u256(0)).matches(representative(find(Instruction::ISZERO, {_c})), *this);
+}
+
+u256 const* ExpressionClasses::knownConstant(Id _c)
+{
+ map<unsigned, Expression const*> matchGroups;
+ Pattern constant(Push);
+ constant.setMatchGroup(1, matchGroups);
+ if (!constant.matches(representative(_c), *this))
+ return nullptr;
+ return &constant.d();
+}
+
+AssemblyItem const* ExpressionClasses::storeItem(AssemblyItem const& _item)
+{
+ m_spareAssemblyItems.push_back(make_shared<AssemblyItem>(_item));
+ return m_spareAssemblyItems.back().get();
+}
+
+string ExpressionClasses::fullDAGToString(ExpressionClasses::Id _id) const
+{
+ Expression const& expr = representative(_id);
+ stringstream str;
+ str << dec << expr.id << ":";
+ if (expr.item)
+ {
+ str << *expr.item << "(";
+ for (Id arg: expr.arguments)
+ str << fullDAGToString(arg) << ",";
+ str << ")";
+ }
+ else
+ str << " UNIQUE";
+ return str.str();
+}
+
+class Rules: public boost::noncopyable
+{
+public:
+ Rules();
+ void resetMatchGroups() { m_matchGroups.clear(); }
+ vector<pair<Pattern, function<Pattern()>>> rules() const { return m_rules; }
+
+private:
+ using Expression = ExpressionClasses::Expression;
+ map<unsigned, Expression const*> m_matchGroups;
+ vector<pair<Pattern, function<Pattern()>>> m_rules;
+};
+
+template <class S> S divWorkaround(S const& _a, S const& _b)
+{
+ return (S)(bigint(_a) / bigint(_b));
+}
+
+template <class S> S modWorkaround(S const& _a, S const& _b)
+{
+ return (S)(bigint(_a) % bigint(_b));
+}
+
+Rules::Rules()
+{
+ // Multiple occurences of one of these inside one rule must match the same equivalence class.
+ // Constants.
+ Pattern A(Push);
+ Pattern B(Push);
+ Pattern C(Push);
+ // Anything.
+ Pattern X;
+ Pattern Y;
+ Pattern Z;
+ A.setMatchGroup(1, m_matchGroups);
+ B.setMatchGroup(2, m_matchGroups);
+ C.setMatchGroup(3, m_matchGroups);
+ X.setMatchGroup(4, m_matchGroups);
+ Y.setMatchGroup(5, m_matchGroups);
+ Z.setMatchGroup(6, m_matchGroups);
+
+ m_rules = vector<pair<Pattern, function<Pattern()>>>{
+ // arithmetics on constants
+ {{Instruction::ADD, {A, B}}, [=]{ return A.d() + B.d(); }},
+ {{Instruction::MUL, {A, B}}, [=]{ return A.d() * B.d(); }},
+ {{Instruction::SUB, {A, B}}, [=]{ return A.d() - B.d(); }},
+ {{Instruction::DIV, {A, B}}, [=]{ return B.d() == 0 ? 0 : divWorkaround(A.d(), B.d()); }},
+ {{Instruction::SDIV, {A, B}}, [=]{ return B.d() == 0 ? 0 : s2u(divWorkaround(u2s(A.d()), u2s(B.d()))); }},
+ {{Instruction::MOD, {A, B}}, [=]{ return B.d() == 0 ? 0 : modWorkaround(A.d(), B.d()); }},
+ {{Instruction::SMOD, {A, B}}, [=]{ return B.d() == 0 ? 0 : s2u(modWorkaround(u2s(A.d()), u2s(B.d()))); }},
+ {{Instruction::EXP, {A, B}}, [=]{ return u256(boost::multiprecision::powm(bigint(A.d()), bigint(B.d()), bigint(1) << 256)); }},
+ {{Instruction::NOT, {A}}, [=]{ return ~A.d(); }},
+ {{Instruction::LT, {A, B}}, [=]() { return A.d() < B.d() ? u256(1) : 0; }},
+ {{Instruction::GT, {A, B}}, [=]() -> u256 { return A.d() > B.d() ? 1 : 0; }},
+ {{Instruction::SLT, {A, B}}, [=]() -> u256 { return u2s(A.d()) < u2s(B.d()) ? 1 : 0; }},
+ {{Instruction::SGT, {A, B}}, [=]() -> u256 { return u2s(A.d()) > u2s(B.d()) ? 1 : 0; }},
+ {{Instruction::EQ, {A, B}}, [=]() -> u256 { return A.d() == B.d() ? 1 : 0; }},
+ {{Instruction::ISZERO, {A}}, [=]() -> u256 { return A.d() == 0 ? 1 : 0; }},
+ {{Instruction::AND, {A, B}}, [=]{ return A.d() & B.d(); }},
+ {{Instruction::OR, {A, B}}, [=]{ return A.d() | B.d(); }},
+ {{Instruction::XOR, {A, B}}, [=]{ return A.d() ^ B.d(); }},
+ {{Instruction::BYTE, {A, B}}, [=]{ return A.d() >= 32 ? 0 : (B.d() >> unsigned(8 * (31 - A.d()))) & 0xff; }},
+ {{Instruction::ADDMOD, {A, B, C}}, [=]{ return C.d() == 0 ? 0 : u256((bigint(A.d()) + bigint(B.d())) % C.d()); }},
+ {{Instruction::MULMOD, {A, B, C}}, [=]{ return C.d() == 0 ? 0 : u256((bigint(A.d()) * bigint(B.d())) % C.d()); }},
+ {{Instruction::MULMOD, {A, B, C}}, [=]{ return A.d() * B.d(); }},
+ {{Instruction::SIGNEXTEND, {A, B}}, [=]() -> u256 {
+ if (A.d() >= 31)
+ return B.d();
+ unsigned testBit = unsigned(A.d()) * 8 + 7;
+ u256 mask = (u256(1) << testBit) - 1;
+ return u256(boost::multiprecision::bit_test(B.d(), testBit) ? B.d() | ~mask : B.d() & mask);
+ }},
+
+ // invariants involving known constants
+ {{Instruction::ADD, {X, 0}}, [=]{ return X; }},
+ {{Instruction::MUL, {X, 1}}, [=]{ return X; }},
+ {{Instruction::DIV, {X, 1}}, [=]{ return X; }},
+ {{Instruction::SDIV, {X, 1}}, [=]{ return X; }},
+ {{Instruction::OR, {X, 0}}, [=]{ return X; }},
+ {{Instruction::XOR, {X, 0}}, [=]{ return X; }},
+ {{Instruction::AND, {X, ~u256(0)}}, [=]{ return X; }},
+ {{Instruction::MUL, {X, 0}}, [=]{ return u256(0); }},
+ {{Instruction::DIV, {X, 0}}, [=]{ return u256(0); }},
+ {{Instruction::MOD, {X, 0}}, [=]{ return u256(0); }},
+ {{Instruction::MOD, {0, X}}, [=]{ return u256(0); }},
+ {{Instruction::AND, {X, 0}}, [=]{ return u256(0); }},
+ {{Instruction::OR, {X, ~u256(0)}}, [=]{ return ~u256(0); }},
+ // operations involving an expression and itself
+ {{Instruction::AND, {X, X}}, [=]{ return X; }},
+ {{Instruction::OR, {X, X}}, [=]{ return X; }},
+ {{Instruction::SUB, {X, X}}, [=]{ return u256(0); }},
+ {{Instruction::EQ, {X, X}}, [=]{ return u256(1); }},
+ {{Instruction::LT, {X, X}}, [=]{ return u256(0); }},
+ {{Instruction::SLT, {X, X}}, [=]{ return u256(0); }},
+ {{Instruction::GT, {X, X}}, [=]{ return u256(0); }},
+ {{Instruction::SGT, {X, X}}, [=]{ return u256(0); }},
+ {{Instruction::MOD, {X, X}}, [=]{ return u256(0); }},
+
+ {{Instruction::NOT, {{Instruction::NOT, {X}}}}, [=]{ return X; }},
+ };
+ // Double negation of opcodes with binary result
+ for (auto const& op: vector<Instruction>{
+ Instruction::EQ,
+ Instruction::LT,
+ Instruction::SLT,
+ Instruction::GT,
+ Instruction::SGT
+ })
+ m_rules.push_back({
+ {Instruction::ISZERO, {{Instruction::ISZERO, {{op, {X, Y}}}}}},
+ [=]() -> Pattern { return {op, {X, Y}}; }
+ });
+ m_rules.push_back({
+ {Instruction::ISZERO, {{Instruction::ISZERO, {{Instruction::ISZERO, {X}}}}}},
+ [=]() -> Pattern { return {Instruction::ISZERO, {X}}; }
+ });
+ // Associative operations
+ for (auto const& opFun: vector<pair<Instruction,function<u256(u256 const&,u256 const&)>>>{
+ {Instruction::ADD, plus<u256>()},
+ {Instruction::MUL, multiplies<u256>()},
+ {Instruction::AND, bit_and<u256>()},
+ {Instruction::OR, bit_or<u256>()},
+ {Instruction::XOR, bit_xor<u256>()}
+ })
+ {
+ auto op = opFun.first;
+ auto fun = opFun.second;
+ // Moving constants to the outside, order matters here!
+ // we need actions that return expressions (or patterns?) here, and we need also reversed rules
+ // (X+A)+B -> X+(A+B)
+ m_rules += vector<pair<Pattern, function<Pattern()>>>{{
+ {op, {{op, {X, A}}, B}},
+ [=]() -> Pattern { return {op, {X, fun(A.d(), B.d())}}; }
+ }, {
+ // X+(Y+A) -> (X+Y)+A
+ {op, {{op, {X, A}}, Y}},
+ [=]() -> Pattern { return {op, {{op, {X, Y}}, A}}; }
+ }, {
+ // For now, we still need explicit commutativity for the inner pattern
+ {op, {{op, {A, X}}, B}},
+ [=]() -> Pattern { return {op, {X, fun(A.d(), B.d())}}; }
+ }, {
+ {op, {{op, {A, X}}, Y}},
+ [=]() -> Pattern { return {op, {{op, {X, Y}}, A}}; }
+ }};
+ }
+ // move constants across subtractions
+ m_rules += vector<pair<Pattern, function<Pattern()>>>{
+ {
+ // X - A -> X + (-A)
+ {Instruction::SUB, {X, A}},
+ [=]() -> Pattern { return {Instruction::ADD, {X, 0 - A.d()}}; }
+ }, {
+ // (X + A) - Y -> (X - Y) + A
+ {Instruction::SUB, {{Instruction::ADD, {X, A}}, Y}},
+ [=]() -> Pattern { return {Instruction::ADD, {{Instruction::SUB, {X, Y}}, A}}; }
+ }, {
+ // (A + X) - Y -> (X - Y) + A
+ {Instruction::SUB, {{Instruction::ADD, {A, X}}, Y}},
+ [=]() -> Pattern { return {Instruction::ADD, {{Instruction::SUB, {X, Y}}, A}}; }
+ }, {
+ // X - (Y + A) -> (X - Y) + (-A)
+ {Instruction::SUB, {X, {Instruction::ADD, {Y, A}}}},
+ [=]() -> Pattern { return {Instruction::ADD, {{Instruction::SUB, {X, Y}}, 0 - A.d()}}; }
+ }, {
+ // X - (A + Y) -> (X - Y) + (-A)
+ {Instruction::SUB, {X, {Instruction::ADD, {A, Y}}}},
+ [=]() -> Pattern { return {Instruction::ADD, {{Instruction::SUB, {X, Y}}, 0 - A.d()}}; }
+ }
+ };
+}
+
+ExpressionClasses::Id ExpressionClasses::tryToSimplify(Expression const& _expr, bool _secondRun)
+{
+ static Rules rules;
+
+ if (
+ !_expr.item ||
+ _expr.item->type() != Operation ||
+ !SemanticInformation::isDeterministic(*_expr.item)
+ )
+ return -1;
+
+ for (auto const& rule: rules.rules())
+ {
+ rules.resetMatchGroups();
+ if (rule.first.matches(_expr, *this))
+ {
+ // Debug info
+ //cout << "Simplifying " << *_expr.item << "(";
+ //for (Id arg: _expr.arguments)
+ // cout << fullDAGToString(arg) << ", ";
+ //cout << ")" << endl;
+ //cout << "with rule " << rule.first.toString() << endl;
+ //ExpressionTemplate t(rule.second());
+ //cout << "to " << rule.second().toString() << endl;
+ return rebuildExpression(ExpressionTemplate(rule.second(), _expr.item->location()));
+ }
+ }
+
+ if (!_secondRun && _expr.arguments.size() == 2 && SemanticInformation::isCommutativeOperation(*_expr.item))
+ {
+ Expression expr = _expr;
+ swap(expr.arguments[0], expr.arguments[1]);
+ return tryToSimplify(expr, true);
+ }
+
+ return -1;
+}
+
+ExpressionClasses::Id ExpressionClasses::rebuildExpression(ExpressionTemplate const& _template)
+{
+ if (_template.hasId)
+ return _template.id;
+
+ Ids arguments;
+ for (ExpressionTemplate const& t: _template.arguments)
+ arguments.push_back(rebuildExpression(t));
+ return find(_template.item, arguments);
+}
+
+
+Pattern::Pattern(Instruction _instruction, std::vector<Pattern> const& _arguments):
+ m_type(Operation),
+ m_requireDataMatch(true),
+ m_data(_instruction),
+ m_arguments(_arguments)
+{
+}
+
+void Pattern::setMatchGroup(unsigned _group, map<unsigned, Expression const*>& _matchGroups)
+{
+ m_matchGroup = _group;
+ m_matchGroups = &_matchGroups;
+}
+
+bool Pattern::matches(Expression const& _expr, ExpressionClasses const& _classes) const
+{
+ if (!matchesBaseItem(_expr.item))
+ return false;
+ if (m_matchGroup)
+ {
+ if (!m_matchGroups->count(m_matchGroup))
+ (*m_matchGroups)[m_matchGroup] = &_expr;
+ else if ((*m_matchGroups)[m_matchGroup]->id != _expr.id)
+ return false;
+ }
+ assertThrow(m_arguments.size() == 0 || _expr.arguments.size() == m_arguments.size(), OptimizerException, "");
+ for (size_t i = 0; i < m_arguments.size(); ++i)
+ if (!m_arguments[i].matches(_classes.representative(_expr.arguments[i]), _classes))
+ return false;
+ return true;
+}
+
+AssemblyItem Pattern::toAssemblyItem(SourceLocation const& _location) const
+{
+ return AssemblyItem(m_type, m_data, _location);
+}
+
+string Pattern::toString() const
+{
+ stringstream s;
+ switch (m_type)
+ {
+ case Operation:
+ s << instructionInfo(Instruction(unsigned(m_data))).name;
+ break;
+ case Push:
+ s << "PUSH " << hex << m_data;
+ break;
+ case UndefinedItem:
+ s << "ANY";
+ break;
+ default:
+ s << "t=" << dec << m_type << " d=" << hex << m_data;
+ break;
+ }
+ if (!m_requireDataMatch)
+ s << " ~";
+ if (m_matchGroup)
+ s << "[" << dec << m_matchGroup << "]";
+ s << "(";
+ for (Pattern const& p: m_arguments)
+ s << p.toString() << ", ";
+ s << ")";
+ return s.str();
+}
+
+bool Pattern::matchesBaseItem(AssemblyItem const* _item) const
+{
+ if (m_type == UndefinedItem)
+ return true;
+ if (!_item)
+ return false;
+ if (m_type != _item->type())
+ return false;
+ if (m_requireDataMatch && m_data != _item->data())
+ return false;
+ return true;
+}
+
+Pattern::Expression const& Pattern::matchGroupValue() const
+{
+ assertThrow(m_matchGroup > 0, OptimizerException, "");
+ assertThrow(!!m_matchGroups, OptimizerException, "");
+ assertThrow((*m_matchGroups)[m_matchGroup], OptimizerException, "");
+ return *(*m_matchGroups)[m_matchGroup];
+}
+
+
+ExpressionTemplate::ExpressionTemplate(Pattern const& _pattern, SourceLocation const& _location)
+{
+ if (_pattern.matchGroup())
+ {
+ hasId = true;
+ id = _pattern.id();
+ }
+ else
+ {
+ hasId = false;
+ item = _pattern.toAssemblyItem(_location);
+ }
+ for (auto const& arg: _pattern.arguments())
+ arguments.push_back(ExpressionTemplate(arg, _location));
+}
+
+string ExpressionTemplate::toString() const
+{
+ stringstream s;
+ if (hasId)
+ s << id;
+ else
+ s << item;
+ s << "(";
+ for (auto const& arg: arguments)
+ s << arg.toString();
+ s << ")";
+ return s.str();
+}