#include #include #include #include #include #include #include #include #include namespace hex { template i16 MathEvaluator::comparePrecedence(const Operator &a, const Operator &b) { return static_cast((static_cast(a) & 0x0F0) - (static_cast(b) & 0x0F0)); } template bool MathEvaluator::isLeftAssociative(const Operator &op) { return (static_cast(op) & 0xF00) == 0; } template std::pair::Operator, size_t> MathEvaluator::toOperator(const std::string &input) { if (input.starts_with("##")) return { Operator::Combine, 2 }; if (input.starts_with("==")) return { Operator::Equals, 2 }; if (input.starts_with("!=")) return { Operator::NotEquals, 2 }; if (input.starts_with(">=")) return { Operator::GreaterThanOrEquals, 2 }; if (input.starts_with("<=")) return { Operator::LessThanOrEquals, 2 }; if (input.starts_with(">>")) return { Operator::ShiftRight, 2 }; if (input.starts_with("<<")) return { Operator::ShiftLeft, 2 }; if (input.starts_with("||")) return { Operator::Or, 2 }; if (input.starts_with("^^")) return { Operator::Xor, 2 }; if (input.starts_with("&&")) return { Operator::And, 2 }; if (input.starts_with("**")) return { Operator::Exponentiation, 2 }; if (input.starts_with(">")) return { Operator::GreaterThan, 1 }; if (input.starts_with("<")) return { Operator::LessThan, 1 }; if (input.starts_with("!")) return { Operator::Not, 1 }; if (input.starts_with("|")) return { Operator::BitwiseOr, 1 }; if (input.starts_with("^")) return { Operator::BitwiseXor, 1 }; if (input.starts_with("&")) return { Operator::BitwiseAnd, 1 }; if (input.starts_with("~")) return { Operator::BitwiseNot, 1 }; if (input.starts_with("+")) return { Operator::Addition, 1 }; if (input.starts_with("-")) return { Operator::Subtraction, 1 }; if (input.starts_with("*")) return { Operator::Multiplication, 1 }; if (input.starts_with("/")) return { Operator::Division, 1 }; if (input.starts_with("%")) return { Operator::Modulus, 1 }; if (input.starts_with("=")) return { Operator::Assign, 1 }; return { Operator::Invalid, 0 }; } template std::optional::Token>> MathEvaluator::toPostfix(std::queue inputQueue) { std::queue outputQueue; std::stack operatorStack; while (!inputQueue.empty()) { Token currToken = inputQueue.front(); inputQueue.pop(); if (currToken.type == TokenType::Number || currToken.type == TokenType::Variable || currToken.type == TokenType::Function) outputQueue.push(currToken); else if (currToken.type == TokenType::Operator) { while ((!operatorStack.empty()) && ((operatorStack.top().type == TokenType::Operator && currToken.type == TokenType::Operator && (comparePrecedence(operatorStack.top().op, currToken.op) > 0)) || (comparePrecedence(operatorStack.top().op, currToken.op) == 0 && isLeftAssociative(currToken.op))) && operatorStack.top().type != TokenType::Bracket) { outputQueue.push(operatorStack.top()); operatorStack.pop(); } operatorStack.push(currToken); } else if (currToken.type == TokenType::Bracket) { if (currToken.bracketType == BracketType::Left) operatorStack.push(currToken); else { if (operatorStack.empty()) { this->setError("Mismatching parenthesis!"); return std::nullopt; } while (operatorStack.top().type != TokenType::Bracket || (operatorStack.top().type == TokenType::Bracket && operatorStack.top().bracketType != BracketType::Left)) { if (operatorStack.empty()) { this->setError("Mismatching parenthesis!"); return std::nullopt; } outputQueue.push(operatorStack.top()); operatorStack.pop(); } operatorStack.pop(); } } } while (!operatorStack.empty()) { auto top = operatorStack.top(); if (top.type == TokenType::Bracket) { this->setError("Mismatching parenthesis!"); return std::nullopt; } outputQueue.push(top); operatorStack.pop(); } return outputQueue; } template std::optional::Token>> MathEvaluator::parseInput(std::string input) { std::queue inputQueue; char *prevPos = input.data(); for (char *pos = prevPos; *pos != 0x00;) { if (std::isdigit(*pos) || *pos == '.') { auto number = [&] { if constexpr (std::floating_point) return std::strtold(pos, &pos); else if constexpr (std::signed_integral) return std::strtoll(pos, &pos, 10); else if constexpr (std::unsigned_integral) return std::strtoull(pos, &pos, 10); else static_assert(hex::always_false::value, "Can't parse literal of this type"); }(); if (*pos == 'x') { pos--; number = std::strtoull(pos, &pos, 0); } inputQueue.push(Token { .type = TokenType::Number, .number = number, .name = "", .arguments = { } }); } else if (*pos == '(') { inputQueue.push(Token { .type = TokenType::Bracket, .bracketType = BracketType::Left, .name = "", .arguments = { } }); pos++; } else if (*pos == ')') { inputQueue.push(Token { .type = TokenType::Bracket, .bracketType = BracketType::Right, .name = "", .arguments = { } }); pos++; } else if (std::isspace(*pos)) { pos++; } else { auto [op, width] = toOperator(pos); if (op != Operator::Invalid) { inputQueue.push(Token { .type = TokenType::Operator, .op = op, .name = "", .arguments = { } }); pos += width; } else { Token token; while (std::isalpha(*pos) || *pos == '_') { token.name += *pos; pos++; } if (*pos == '(') { pos++; u32 depth = 1; std::vector expressions; expressions.emplace_back(); while (*pos != 0x00) { if (*pos == '(') depth++; else if (*pos == ')') depth--; if (depth == 0) break; if (depth == 1 && *pos == ',') { expressions.emplace_back(); pos++; } expressions.back() += *pos; pos++; } pos++; for (const auto &expression : expressions) { if (expression.empty() && expressions.size() > 1) { this->setError("Invalid function call syntax!"); return std::nullopt; } else if (expression.empty()) break; auto newInputQueue = parseInput(expression); if (!newInputQueue.has_value()) return std::nullopt; auto postfixTokens = toPostfix(*newInputQueue); if (!postfixTokens.has_value()) return std::nullopt; auto result = evaluate(*postfixTokens); if (!result.has_value()) { this->setError("Invalid argument for function!"); return std::nullopt; } token.arguments.push_back(result.value()); } token.type = TokenType::Function; inputQueue.push(token); } else { token.type = TokenType::Variable; inputQueue.push(token); } } } if (prevPos == pos) { this->setError("Invalid syntax!"); return std::nullopt; } prevPos = pos; } return inputQueue; } template std::optional MathEvaluator::evaluate(std::queue postfixTokens) { std::stack evaluationStack; while (!postfixTokens.empty()) { auto front = postfixTokens.front(); postfixTokens.pop(); if (front.type == TokenType::Number) evaluationStack.push(front.number); else if (front.type == TokenType::Operator) { T rightOperand, leftOperand; if (evaluationStack.size() < 2) { if ((front.op == Operator::Addition || front.op == Operator::Subtraction || front.op == Operator::Not || front.op == Operator::BitwiseNot) && evaluationStack.size() == 1) { rightOperand = evaluationStack.top(); evaluationStack.pop(); leftOperand = 0; } else { this->setError("Not enough operands for operator!"); return std::nullopt; } } else { rightOperand = evaluationStack.top(); evaluationStack.pop(); leftOperand = evaluationStack.top(); evaluationStack.pop(); } T result = [] { if constexpr (std::numeric_limits::has_quiet_NaN) return std::numeric_limits::quiet_NaN(); else return 0; }(); switch (front.op) { default: case Operator::Invalid: this->setError("Invalid operator!"); return std::nullopt; case Operator::And: result = static_cast(leftOperand) && static_cast(rightOperand); break; case Operator::Or: result = static_cast(leftOperand) || static_cast(rightOperand); break; case Operator::Xor: result = (static_cast(leftOperand) ^ static_cast(rightOperand)) > 0; break; case Operator::GreaterThan: result = leftOperand > rightOperand; break; case Operator::LessThan: result = leftOperand < rightOperand; break; case Operator::GreaterThanOrEquals: result = leftOperand >= rightOperand; break; case Operator::LessThanOrEquals: result = leftOperand <= rightOperand; break; case Operator::Equals: result = leftOperand == rightOperand; break; case Operator::NotEquals: result = leftOperand != rightOperand; break; case Operator::Not: result = !static_cast(rightOperand); break; case Operator::BitwiseOr: result = static_cast(leftOperand) | static_cast(rightOperand); break; case Operator::BitwiseXor: result = static_cast(leftOperand) ^ static_cast(rightOperand); break; case Operator::BitwiseAnd: result = static_cast(leftOperand) & static_cast(rightOperand); break; case Operator::BitwiseNot: result = ~static_cast(rightOperand); break; case Operator::ShiftLeft: result = static_cast(leftOperand) << static_cast(rightOperand); break; case Operator::ShiftRight: result = static_cast(leftOperand) >> static_cast(rightOperand); break; case Operator::Addition: result = leftOperand + rightOperand; break; case Operator::Subtraction: result = leftOperand - rightOperand; break; case Operator::Multiplication: result = leftOperand * rightOperand; break; case Operator::Division: result = leftOperand / rightOperand; break; case Operator::Modulus: if constexpr (std::floating_point) result = std::fmod(leftOperand, rightOperand); else result = leftOperand % rightOperand; break; case Operator::Exponentiation: if constexpr (std::floating_point) result = std::pow(leftOperand, rightOperand); else result = hex::powi(leftOperand, rightOperand); break; case Operator::Combine: result = (static_cast(leftOperand) << (64 - __builtin_clzll(static_cast(rightOperand)))) | static_cast(rightOperand); break; } evaluationStack.push(result); } else if (front.type == TokenType::Variable) { if (this->m_variables.contains(front.name)) evaluationStack.push(this->m_variables.at(front.name).value); else { this->setError("Unknown variable!"); return std::nullopt; } } else if (front.type == TokenType::Function) { if (!this->m_functions[front.name]) { this->setError("Unknown function called!"); return std::nullopt; } auto result = this->m_functions[front.name](front.arguments); if (result.has_value()) evaluationStack.push(result.value()); } else { this->setError("Parenthesis in postfix expression!"); return std::nullopt; } } if (evaluationStack.empty()) { return std::nullopt; } else if (evaluationStack.size() > 1) { this->setError("Undigested input left!"); return std::nullopt; } else { return evaluationStack.top(); } } template std::optional MathEvaluator::evaluate(const std::string &input) { auto inputQueue = parseInput(input); if (!inputQueue.has_value() || inputQueue->empty()) return std::nullopt; std::string resultVariable = "ans"; { auto queueCopy = *inputQueue; if (queueCopy.front().type == TokenType::Variable && queueCopy.size() > 2) { resultVariable = queueCopy.front().name; queueCopy.pop(); if (queueCopy.front().type != TokenType::Operator || queueCopy.front().op != Operator::Assign) resultVariable = "ans"; else { inputQueue->pop(); inputQueue->pop(); } } } auto postfixTokens = toPostfix(*inputQueue); if (!postfixTokens.has_value()) return std::nullopt; auto result = evaluate(*postfixTokens); if (result.has_value() && !this->getVariables()[resultVariable].constant) this->setVariable(resultVariable, result.value()); return result; } template void MathEvaluator::setVariable(const std::string &name, T value, bool constant) { this->m_variables[name] = { value, constant }; } template void MathEvaluator::setFunction(const std::string &name, const std::function(std::vector)> &function, size_t minNumArgs, size_t maxNumArgs) { this->m_functions[name] = [this, minNumArgs, maxNumArgs, function](auto args) -> std::optional { if (args.size() < minNumArgs || args.size() > maxNumArgs) { this->setError("Invalid number of function arguments!"); return std::nullopt; } return function(args); }; } template void MathEvaluator::registerStandardVariables() { this->setVariable("ans", 0); this->setVariable("pi", std::numbers::pi, true); this->setVariable("e", std::numbers::e, true); this->setVariable("phi", std::numbers::phi, true); } template void MathEvaluator::registerStandardFunctions() { if constexpr (std::floating_point) { this->setFunction( "sin", [](auto args) { return std::sin(args[0]); }, 1, 1); this->setFunction( "cos", [](auto args) { return std::cos(args[0]); }, 1, 1); this->setFunction( "tan", [](auto args) { return std::tan(args[0]); }, 1, 1); this->setFunction( "sqrt", [](auto args) { return std::sqrt(args[0]); }, 1, 1); this->setFunction( "ceil", [](auto args) { return std::ceil(args[0]); }, 1, 1); this->setFunction( "floor", [](auto args) { return std::floor(args[0]); }, 1, 1); this->setFunction( "sign", [](auto args) { return (args[0] > 0) ? 1 : (args[0] == 0) ? 0 : -1; }, 1, 1); this->setFunction( "abs", [](auto args) { return std::abs(args[0]); }, 1, 1); this->setFunction( "ln", [](auto args) { return std::log(args[0]); }, 1, 1); this->setFunction( "lb", [](auto args) { return std::log2(args[0]); }, 1, 1); this->setFunction( "log", [](auto args) { return args.size() == 1 ? std::log10(args[0]) : std::log(args[1]) / std::log(args[0]); }, 1, 2); } } template class MathEvaluator; template class MathEvaluator; template class MathEvaluator; }