package org.nwapw.abacus.tree; import org.nwapw.abacus.lexing.Lexer; import org.nwapw.abacus.lexing.pattern.Match; import java.util.*; public abstract class TreeNode { private static Lexer lexer = new Lexer(){{ register(".", TokenType.ANY); register("\\+|-|\\*|/|^", TokenType.OP); register("[0-9]+(\\.[0-9]+)?", TokenType.NUM); register("[a-zA-Z]+", TokenType.WORD); register("\\(", TokenType.OPEN_PARENTH); register("\\)", TokenType.CLOSE_PARENTH); }}; private static HashMap precedenceMap = new HashMap(){{ put("+", 0); put("-", 0); put("*", 1); put("/", 1); put("^", 2); }}; private static HashMap associativityMap = new HashMap() {{ put("+", OperatorAssociativity.LEFT); put("-", OperatorAssociativity.LEFT); put("*", OperatorAssociativity.LEFT); put("/", OperatorAssociativity.LEFT); put("^", OperatorAssociativity.RIGHT); }}; private static Comparator tokenSorter = Comparator.comparingInt(e -> e.priority); public static ArrayList> tokenize(String string){ return lexer.lexAll(string, 0, tokenSorter); } public static ArrayList> intoPostfix(String source, ArrayList> from){ ArrayList> output = new ArrayList<>(); Stack> tokenStack = new Stack<>(); while(!from.isEmpty()){ Match match = from.remove(0); if(match.getType() == TokenType.NUM) { output.add(match); } else if(match.getType() == TokenType.OP){ String tokenString = source.substring(match.getFrom(), match.getTo()); int precedence = precedenceMap.get(tokenString); OperatorAssociativity associativity = associativityMap.get(tokenString); while(!tokenStack.empty()) { Match otherMatch = tokenStack.peek(); if(otherMatch.getType() != TokenType.OP) break; int otherPrecdence = precedenceMap.get(source.substring(otherMatch.getFrom(), otherMatch.getTo())); if(otherPrecdence < precedence || (associativity == OperatorAssociativity.RIGHT && otherPrecdence == precedence)) { break; } output.add(tokenStack.pop()); } tokenStack.push(match); } else if(match.getType() == TokenType.OPEN_PARENTH){ tokenStack.push(match); } else if(match.getType() == TokenType.CLOSE_PARENTH){ while(!tokenStack.empty() && tokenStack.peek().getType() != TokenType.OPEN_PARENTH){ output.add(tokenStack.pop()); } if(tokenStack.empty()) return null; tokenStack.pop(); } } while(!tokenStack.empty()){ if(!(tokenStack.peek().getType() == TokenType.OP)) return null; output.add(tokenStack.pop()); } return output; } public static TreeNode fromStringRecursive(String source, ArrayList> matches){ if(matches.size() == 0) return null; Match match = matches.remove(0); if(match.getType() == TokenType.OP){ TreeNode right = fromStringRecursive(source, matches); TreeNode left = fromStringRecursive(source, matches); if(left == null || right == null) return null; else return new OpNode(source.substring(match.getFrom(), match.getTo()), left, right); } else if(match.getType() == TokenType.NUM){ return new NumberNode(Double.parseDouble(source.substring(match.getFrom(), match.getTo()))); } return null; } public static TreeNode fromString(String string){ ArrayList> matches = intoPostfix(string, tokenize(string)); if(matches == null) return null; Collections.reverse(matches); return fromStringRecursive(string, matches); } }