/* * MathInterpreter.cpp, part of LatAnalyze 3 * * Copyright (C) 2013 - 2016 Antonin Portelli * * LatAnalyze 3 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. * * LatAnalyze 3 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 LatAnalyze 3. If not, see . */ #include #include #include using namespace std; using namespace Latan; /****************************************************************************** * RunContext implementation * ******************************************************************************/ // access ////////////////////////////////////////////////////////////////////// unsigned int RunContext::addFunction(const string &name, DoubleFunction *init) { try { setFunction(name, init); return getFunctionAddress(name); } catch (Exceptions::Definition) { unsigned int address = fTable_.size(); fMem_.push_back(init); fTable_[name] = address; return address; } } unsigned int RunContext::addVariable(const string &name, double init) { try { setVariable(name, init); return getVariableAddress(name); } catch (Exceptions::Definition) { unsigned int address = vTable_.size(); vMem_.push_back(init); vTable_[name] = address; return address; } } DoubleFunction * RunContext::getFunction(const string &name) const { return getFunction(getFunctionAddress(name)); } DoubleFunction * RunContext::getFunction(const unsigned int address) const { if (address >= fTable_.size()) { LATAN_ERROR(Range, "function address " + strFrom(address) + " out of range"); return nullptr; } else { return fMem_[address]; } } unsigned int RunContext::getFunctionAddress(const string &name) const { try { return fTable_.at(name); } catch (out_of_range) { LATAN_ERROR(Definition, "undefined function '" + name + "'"); } } const RunContext::AddressTable & RunContext::getFunctionTable(void) const { return fTable_; } unsigned int RunContext::getInsIndex(void) const { return insIndex_; } double RunContext::getVariable(const string &name) const { return getVariable(getVariableAddress(name)); } double RunContext::getVariable(const unsigned int address) const { if (address >= vTable_.size()) { LATAN_ERROR(Range, "variable address " + strFrom(address) + " out of range"); return 0.; } else { return vMem_[address]; } } const RunContext::AddressTable & RunContext::getVariableTable(void) const { return vTable_; } unsigned int RunContext::getVariableAddress(const string &name) const { try { return vTable_.at(name); } catch (out_of_range) { LATAN_ERROR(Definition, "undefined variable '" + name + "'"); } } void RunContext::incrementInsIndex(const unsigned int inc) { setInsIndex(getInsIndex() + inc); } void RunContext::setFunction(const string &name, DoubleFunction *f) { setFunction(getFunctionAddress(name), f); } void RunContext::setFunction(const unsigned int address, DoubleFunction *f) { if (address >= fTable_.size()) { LATAN_ERROR(Range, "function address " + strFrom(address) + " out of range"); } else { fMem_[address] = f; } } void RunContext::setInsIndex(const unsigned index) { insIndex_ = index; } void RunContext::setVariable(const string &name, const double value) { setVariable(getVariableAddress(name), value); } void RunContext::setVariable(const unsigned int address, const double value) { if (address >= vTable_.size()) { LATAN_ERROR(Range, "variable address " + strFrom(address) + " out of range"); } else { vMem_[address] = value; } } stack & RunContext::stack(void) { return dStack_; } // reset /////////////////////////////////////////////////////////////////////// void RunContext::reset(void) { insIndex_ = 0; while (!dStack_.empty()) { dStack_.pop(); } vMem_.clear(); fMem_.clear(); vTable_.clear(); fTable_.clear(); } /****************************************************************************** * Instruction set * ******************************************************************************/ #define CODE_WIDTH 6 #define CODE_MOD setw(CODE_WIDTH) << left // Instruction operator //////////////////////////////////////////////////////// ostream &Latan::operator<<(ostream& out, const Instruction& ins) { ins.print(out); return out; } // Push constructors /////////////////////////////////////////////////////////// Push::Push(const double val) : type_(ArgType::Constant) , val_(val) , address_(0) , name_("") {} Push::Push(const unsigned int address, const string &name) : type_(ArgType::Variable) , val_(0.0) , address_(address) , name_(name) {} // Push execution ////////////////////////////////////////////////////////////// void Push::operator()(RunContext &context) const { if (type_ == ArgType::Constant) { context.stack().push(val_); } else { context.stack().push(context.getVariable(address_)); } context.incrementInsIndex(); } // Push print ////////////////////////////////////////////////////////////////// void Push::print(ostream &out) const { out << CODE_MOD << "push"; if (type_ == ArgType::Constant) { out << CODE_MOD << val_; } else { out << CODE_MOD << name_ << " @v" << address_; } } // Pop constructor ///////////////////////////////////////////////////////////// Pop::Pop(const unsigned int address, const string &name) : address_(address) , name_(name) {} // Pop execution /////////////////////////////////////////////////////////////// void Pop::operator()(RunContext &context) const { if (!name_.empty()) { context.setVariable(address_, context.stack().top()); } context.stack().pop(); context.incrementInsIndex(); } // Pop print /////////////////////////////////////////////////////////////////// void Pop::print(ostream &out) const { out << CODE_MOD << "pop" << CODE_MOD << name_ << " @v" << address_; } // Store constructor /////////////////////////////////////////////////////////// Store::Store(const unsigned int address, const string &name) : address_(address) , name_(name) {} // Store execution ///////////////////////////////////////////////////////////// void Store::operator()(RunContext &context) const { if (!name_.empty()) { context.setVariable(address_, context.stack().top()); } context.incrementInsIndex(); } // Store print ///////////////////////////////////////////////////////////////// void Store::print(ostream &out) const { out << CODE_MOD << "store" << CODE_MOD << name_ << " @v" << address_; } // Call constructor //////////////////////////////////////////////////////////// Call::Call(const unsigned int address, const string &name) : address_(address) , name_(name) {} // Call execution ////////////////////////////////////////////////////////////// void Call::operator()(RunContext &context) const { context.stack().push((*context.getFunction(address_))(context.stack())); context.incrementInsIndex(); } // Call print ////////////////////////////////////////////////////////////////// void Call::print(ostream &out) const { out << CODE_MOD << "call" << CODE_MOD << name_ << " @f" << address_; } // Math operations ///////////////////////////////////////////////////////////// #define DEF_OP(name, nArg, exp, insName)\ void name::operator()(RunContext &context) const\ {\ double x[nArg];\ for (int i = 0; i < nArg; ++i)\ {\ x[nArg-1-i] = context.stack().top();\ context.stack().pop();\ }\ context.stack().push(exp);\ context.incrementInsIndex();\ }\ void name::print(ostream &out) const\ {\ out << CODE_MOD << insName;\ } DEF_OP(Neg, 1, -x[0], "neg") DEF_OP(Add, 2, x[0] + x[1], "add") DEF_OP(Sub, 2, x[0] - x[1], "sub") DEF_OP(Mul, 2, x[0]*x[1], "mul") DEF_OP(Div, 2, x[0]/x[1], "div") DEF_OP(Pow, 2, pow(x[0],x[1]), "pow") /****************************************************************************** * ExprNode implementation * ******************************************************************************/ // ExprNode constructors /////////////////////////////////////////////////////// ExprNode::ExprNode(const string &name) : name_(name) , parent_(nullptr) {} // ExprNode access ///////////////////////////////////////////////////////////// const string &ExprNode::getName(void) const { return name_; } Index ExprNode::getNArg(void) const { return static_cast(arg_.size()); } const ExprNode * ExprNode::getParent(void) const { return parent_; } Index ExprNode::getLevel(void) const { if (getParent()) { return getParent()->getLevel() + 1; } else { return 0; } } void ExprNode::setName(const std::string &name) { name_ = name; } void ExprNode::pushArg(ExprNode *node) { if (node) { node->parent_ = this; arg_.push_back(unique_ptr(node)); } } // ExprNode operators ////////////////////////////////////////////////////////// const ExprNode &ExprNode::operator[](const Index i) const { return *arg_[i]; } ostream &Latan::operator<<(ostream &out, const ExprNode &n) { Index level = n.getLevel(); for (Index i = 0; i <= level; ++i) { if (i == level) { out << "_"; } else if (i == level - 1) { out << "|"; } else { out << " "; } } out << " " << n.getName() << endl; for (Index i = 0; i < n.getNArg(); ++i) { out << n[i]; } return out; } #define PUSH_INS(program, type, ...)\ program.push_back(unique_ptr(new type(__VA_ARGS__))) #define GET_ADDRESS(address, table, name)\ try\ {\ address = (table).at(name);\ }\ catch (out_of_range)\ {\ address = (table).size();\ (table)[(name)] = address;\ }\ // VarNode compile ///////////////////////////////////////////////////////////// void VarNode::compile(Program &program, RunContext &context) const { PUSH_INS(program, Push, context.getVariableAddress(getName()), getName()); } // CstNode compile ///////////////////////////////////////////////////////////// void CstNode::compile(Program &program, RunContext &context __dumb) const { PUSH_INS(program, Push, strTo(getName())); } // SemicolonNode compile /////////////////////////////////////////////////////// void SemicolonNode::compile(Program &program, RunContext &context) const { auto &n = *this; for (Index i = 0; i < getNArg(); ++i) { bool isAssign = isDerivedFrom(&n[i]); bool isSemiColumn = isDerivedFrom(&n[i]); bool isKeyword = isDerivedFrom(&n[i]); if (isAssign||isSemiColumn||isKeyword) { n[i].compile(program, context); } } } // AssignNode compile ////////////////////////////////////////////////////////// void AssignNode::compile(Program &program, RunContext &context) const { auto &n = *this; if (isDerivedFrom(&n[0])) { bool hasSemicolonParent = isDerivedFrom(getParent()); unsigned int address; n[1].compile(program, context); address = context.addVariable(n[0].getName()); if (hasSemicolonParent) { PUSH_INS(program, Pop, address, n[0].getName()); } else { PUSH_INS(program, Store, address, n[0].getName()); } } else { LATAN_ERROR(Compilation, "invalid LHS for '='"); } } // MathOpNode compile ////////////////////////////////////////////////////////// #define IFNODE(name, nArg) if ((n.getName() == (name))&&(n.getNArg() == nArg)) #define ELIFNODE(name, nArg) else IFNODE(name, nArg) #define ELSE else void MathOpNode::compile(Program &program, RunContext &context) const { auto &n = *this; for (Index i = 0; i < n.getNArg(); ++i) { n[i].compile(program, context); } IFNODE("-", 1) PUSH_INS(program, Neg,); ELIFNODE("+", 2) PUSH_INS(program, Add,); ELIFNODE("-", 2) PUSH_INS(program, Sub,); ELIFNODE("*", 2) PUSH_INS(program, Mul,); ELIFNODE("/", 2) PUSH_INS(program, Div,); ELIFNODE("^", 2) PUSH_INS(program, Pow,); ELSE LATAN_ERROR(Compilation, "unknown operator '" + getName() + "'"); } // FuncNode compile //////////////////////////////////////////////////////////// void FuncNode::compile(Program &program, RunContext &context) const { auto &n = *this; for (Index i = 0; i < n.getNArg(); ++i) { n[i].compile(program, context); } PUSH_INS(program, Call, context.getFunctionAddress(getName()), getName()); } // ReturnNode compile //////////////////////////////////////////////////////////// void ReturnNode::compile(Program &program, RunContext &context) const { auto &n = *this; n[0].compile(program, context); program.push_back(nullptr); } /****************************************************************************** * MathInterpreter implementation * ******************************************************************************/ // MathParserState constructor ///////////////////////////////////////////////// MathInterpreter::MathParserState::MathParserState (istream *stream, string *name, std::unique_ptr *data) : ParserState>(stream, name, data) { initScanner(); } // MathParserState destructor ////////////////////////////////////////////////// MathInterpreter::MathParserState::~MathParserState(void) { destroyScanner(); } // constructors //////////////////////////////////////////////////////////////// MathInterpreter::MathInterpreter(const std::string &code) : codeName_("") { setCode(code); } // access ////////////////////////////////////////////////////////////////////// const Instruction * MathInterpreter::operator[](const Index i) const { return program_[i].get(); } const ExprNode * MathInterpreter::getAST(void) const { return root_.get(); } void MathInterpreter::push(const Instruction *i) { program_.push_back(unique_ptr(i)); } // initialization ////////////////////////////////////////////////////////////// void MathInterpreter::setCode(const std::string &code) { if (status_) { reset(); } code_.reset(new stringstream(code)); codeName_ = ""; state_.reset(new MathParserState(code_.get(), &codeName_, &root_)); program_.clear(); status_ = Status::initialised; } void MathInterpreter::reset(void) { code_.reset(); codeName_ = ""; state_.reset(); root_.reset(); program_.clear(); status_ = 0; } // parser ////////////////////////////////////////////////////////////////////// // Bison/Flex parser declaration int _math_parse(MathInterpreter::MathParserState *state); void MathInterpreter::parse(void) { _math_parse(state_.get()); } // interpreter ///////////////////////////////////////////////////////////////// #define ADD_FUNC(context, func)\ (context).addFunction(#func, &STDMATH_NAMESPACE::func);\ #define ADD_STDMATH_FUNCS(context)\ ADD_FUNC(context, cos);\ ADD_FUNC(context, sin);\ ADD_FUNC(context, tan);\ ADD_FUNC(context, acos);\ ADD_FUNC(context, asin);\ ADD_FUNC(context, atan);\ ADD_FUNC(context, atan2);\ ADD_FUNC(context, cosh);\ ADD_FUNC(context, sinh);\ ADD_FUNC(context, tanh);\ ADD_FUNC(context, acosh);\ ADD_FUNC(context, asinh);\ ADD_FUNC(context, atanh);\ ADD_FUNC(context, exp);\ ADD_FUNC(context, log);\ ADD_FUNC(context, log10);\ ADD_FUNC(context, exp2);\ ADD_FUNC(context, expm1);\ ADD_FUNC(context, log1p);\ ADD_FUNC(context, log2);\ ADD_FUNC(context, pow);\ ADD_FUNC(context, sqrt);\ ADD_FUNC(context, cbrt);\ ADD_FUNC(context, hypot);\ ADD_FUNC(context, erf);\ ADD_FUNC(context, erfc);\ ADD_FUNC(context, tgamma);\ ADD_FUNC(context, lgamma);\ ADD_FUNC(context, ceil);\ ADD_FUNC(context, floor);\ ADD_FUNC(context, fmod);\ ADD_FUNC(context, trunc);\ ADD_FUNC(context, round);\ ADD_FUNC(context, rint);\ ADD_FUNC(context, nearbyint);\ ADD_FUNC(context, remainder);\ ADD_FUNC(context, fdim);\ ADD_FUNC(context, fmax);\ ADD_FUNC(context, fmin);\ ADD_FUNC(context, fabs); void MathInterpreter::compile(RunContext &context) { bool gotReturn = false; if (!(status_ & Status::parsed)) { parse(); status_ |= Status::parsed; status_ -= status_ & Status::compiled; } if (!(status_ & Status::compiled)) { if (root_) { context.addVariable("pi", Math::pi); ADD_STDMATH_FUNCS(context); root_->compile(program_, context); for (unsigned int i = 0; i < program_.size(); ++i) { if (!program_[i]) { gotReturn = true; program_.resize(i); program_.shrink_to_fit(); break; } } } if (!root_||!gotReturn) { LATAN_ERROR(Syntax, "expected 'return' in program '" + codeName_ + "'"); } status_ |= Status::compiled; } } // execution /////////////////////////////////////////////////////////////////// void MathInterpreter::operator()(RunContext &context) { if (!(status_ & Status::compiled)) { compile(context); } execute(context); } void MathInterpreter::execute(RunContext &context) const { context.setInsIndex(0); while (context.getInsIndex() != program_.size()) { (*(program_[context.getInsIndex()]))(context); } } // IO ////////////////////////////////////////////////////////////////////////// ostream &Latan::operator<<(ostream &out, const MathInterpreter &program) { for (unsigned int i = 0; i < program.program_.size(); ++i) { out << *(program.program_[i]) << endl; } return out; }