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Author SHA1 Message Date
274826cc09 Replace the old TreeBuilder with the new TreeBuilder. 2017-07-29 21:37:55 -07:00
bfee4ec322 Implement a LexerTokenizer and a ShuntingYard parser.
These are basically two pieces of the old TreeBuilder, but decoupled
and reimplemented conventionally.
2017-07-29 21:37:32 -07:00
bd1f7b8786 Add comments to the two parsing interfaces. 2017-07-29 21:36:39 -07:00
90c6625108 Change matches to store the string they matched. 2017-07-29 21:20:11 -07:00
a99b6b647f Implement the components of a new tree builder. 2017-07-29 21:02:41 -07:00
d12d53032b Merge branch 'architecture' 2017-07-29 19:30:36 -07:00
ff31dd6e47 Update README.md 2017-07-28 23:26:35 -07:00
9 changed files with 227 additions and 146 deletions

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@@ -1,2 +1,24 @@
# abacus
Summer project for NWAPW.
Created by Arthur Drobot, Danila Fedorin and Riley Jones.
## Project Description
Abacus is a calculator built with extensibility and usability in mind. It provides a plugin interface, via Java, as Lua provides too difficult to link up to the Java core. The description of the internals of the project can be found on the wiki page.
## Current State
Abacus is being built for the Northwest Advanced Programming Workshop, a 3 week program in which students work in treams to complete a single project, following principles of agile development. Because of its short timeframe, Abacus is not even close to completed state. Below is a list of the current features and problems.
- [x] Basic number class
- [x] Implementation of basic functions
- [x] Implementation of `exp`, `ln`, `sqrt` using the basic functions and Taylor Series
- [x] Plugin loading from JAR files
- [x] Regular expression pattern construction and matching
- [x] Infix and postfix operators
- [ ] __Correct__ handling of postfix operators (`12+!3` parses to `12!+3`, which is wrong)
- [ ] User-defined precision
## Project Proposal
>There is currently no calculator that is up to par with a sophisticated programmer's needs. The standard system ones are awful, not respecting the order of operations and having only a few basic functions programmed into them. The web ones are tied to the Internet and don't function offline. Physical ones like the TI-84 come close in terms of functionality, but they make the user have to switch between the computer and the device.
>
>My proposal is a more ergonomic calculator for advanced users. Of course, for a calculator, being able to do the actual math is a requirement. However, in this project I also would like to include other features that would make it much more pleasant to use. The first of these features is a wide collection of built in functions, designed with usefulness and consistency in mind. The second is scripting capabilities - most simply using Lua and its provided library. By allowing the users to script in a standardized language that isn't TI-BASIC, the calculator could simplify a variety of tasks and not have to clutter up the default provided functions with overly specific things. Lastly, it's important for the calculator to have a good design that doesn't get in the way of its use, on the two major desktop platforms (macOS and Windows).
>
>With these features I believe that this is a calculator that I would use (and frequently find myself wanting to use). It also seems to have a diverse array of tasks, such as UI design, implementing the math functions to be fast and optimized (fast inverse square root, anyone?), parsing code, and working with Lua integration.

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@@ -1,15 +1,15 @@
package org.nwapw.abacus;
import org.nwapw.abacus.config.ConfigurationObject;
import org.nwapw.abacus.function.Operator;
import org.nwapw.abacus.number.NaiveNumber;
import org.nwapw.abacus.number.NumberInterface;
import org.nwapw.abacus.parsing.LexerTokenizer;
import org.nwapw.abacus.parsing.ShuntingYardParser;
import org.nwapw.abacus.parsing.TreeBuilder;
import org.nwapw.abacus.plugin.ClassFinder;
import org.nwapw.abacus.plugin.PluginListener;
import org.nwapw.abacus.plugin.PluginManager;
import org.nwapw.abacus.plugin.StandardPlugin;
import org.nwapw.abacus.tree.NumberReducer;
import org.nwapw.abacus.tree.TreeBuilder;
import org.nwapw.abacus.tree.TreeNode;
import org.nwapw.abacus.window.Window;
@@ -23,7 +23,7 @@ import java.lang.reflect.InvocationTargetException;
* for piecing together all of the components, allowing
* their interaction with each other.
*/
public class Abacus implements PluginListener {
public class Abacus {
/**
* The default implementation to use for the number representation.
@@ -44,11 +44,6 @@ public class Abacus implements PluginListener {
* and getting functions from them.
*/
private PluginManager pluginManager;
/**
* Tree builder built from plugin manager,
* used to construct parse trees.
*/
private TreeBuilder treeBuilder;
/**
* The reducer used to evaluate the tree.
*/
@@ -57,6 +52,11 @@ public class Abacus implements PluginListener {
* The configuration loaded from a file.
*/
private ConfigurationObject configuration;
/**
* The tree builder used to construct a tree
* from a string.
*/
private TreeBuilder treeBuilder;
/**
* Creates a new instance of the Abacus calculator.
@@ -67,8 +67,12 @@ public class Abacus implements PluginListener {
numberReducer = new NumberReducer(this);
configuration = new ConfigurationObject(CONFIG_FILE);
configuration.save(CONFIG_FILE);
LexerTokenizer lexerTokenizer = new LexerTokenizer();
ShuntingYardParser shuntingYardParser = new ShuntingYardParser(this);
treeBuilder = new TreeBuilder<>(lexerTokenizer, shuntingYardParser);
pluginManager.addListener(this);
pluginManager.addListener(lexerTokenizer);
pluginManager.addListener(shuntingYardParser);
pluginManager.addInstantiated(new StandardPlugin(pluginManager));
try {
ClassFinder.loadJars("plugins")
@@ -129,7 +133,6 @@ public class Abacus implements PluginListener {
* @return the resulting tree, null if the tree builder or the produced tree are null.
*/
public TreeNode parseString(String input){
if(treeBuilder == null) return null;
return treeBuilder.fromString(input);
}
@@ -156,26 +159,6 @@ public class Abacus implements PluginListener {
return null;
}
@Override
public void onLoad(PluginManager manager) {
treeBuilder = new TreeBuilder(this);
for(String function : manager.getAllFunctions()){
treeBuilder.registerFunction(function);
}
for(String operator : manager.getAllOperators()){
Operator operatorObject = manager.operatorFor(operator);
treeBuilder.registerOperator(operator,
operatorObject.getAssociativity(),
operatorObject.getType(),
operatorObject.getPrecedence());
}
}
@Override
public void onUnload(PluginManager manager) {
treeBuilder = null;
}
public static void main(String[] args){
try {
UIManager.setLookAndFeel(UIManager.getSystemLookAndFeelClassName());

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@@ -102,7 +102,7 @@ public class Lexer<T> {
if(index < from.length() && node.matches(from.charAt(index))) {
node.addOutputsInto(futureSet);
} else if(node instanceof EndNode){
matches.add(new Match<>(startAt, index, ((EndNode<T>) node).getPatternId()));
matches.add(new Match<>(from.substring(startAt, index), ((EndNode<T>) node).getPatternId()));
}
}
@@ -115,7 +115,7 @@ public class Lexer<T> {
}
matches.sort((a, b) -> compare.compare(a.getType(), b.getType()));
if(compare != null) {
matches.sort(Comparator.comparingInt(a -> a.getTo() - a.getFrom()));
matches.sort(Comparator.comparingInt(a -> a.getContent().length()));
}
return matches.isEmpty() ? null : matches.get(matches.size() - 1);
}
@@ -132,9 +132,10 @@ public class Lexer<T> {
ArrayList<Match<T>> matches = new ArrayList<>();
Match<T> lastMatch = null;
while(index < from.length() && (lastMatch = lexOne(from, index, compare)) != null){
if(lastMatch.getTo() == lastMatch.getFrom()) return null;
int length = lastMatch.getContent().length();
if(length == 0) return null;
matches.add(lastMatch);
index += lastMatch.getTo() - lastMatch.getFrom();
index += length;
}
if(lastMatch == null) return null;
return matches;

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@@ -7,13 +7,9 @@ package org.nwapw.abacus.lexing.pattern;
public class Match<T> {
/**
* The bottom range of the string, inclusive.
* The content of this match.
*/
private int from;
/**
* The top range of the string, exclusive.
*/
private int to;
private String content;
/**
* The pattern type this match matched.
*/
@@ -21,30 +17,20 @@ public class Match<T> {
/**
* Creates a new match with the given parameters.
* @param from the bottom range of the string.
* @param to the top range of the string.
* @param content the content of this match.
* @param type the type of the match.
*/
public Match(int from, int to, T type){
this.from = from;
this.to = to;
public Match(String content, T type){
this.content = content;
this.type = type;
}
/**
* Gets the bottom range bound of the string.
* @return the bottom range bound of the string.
* Gets the content of this match.
* @return the content.
*/
public int getFrom() {
return from;
}
/**
* Gets the top range bound of the string.
* @return the top range bound of the string.
*/
public int getTo() {
return to;
public String getContent() {
return content;
}
/**

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@@ -0,0 +1,67 @@
package org.nwapw.abacus.parsing;
import org.nwapw.abacus.lexing.Lexer;
import org.nwapw.abacus.lexing.pattern.Match;
import org.nwapw.abacus.lexing.pattern.Pattern;
import org.nwapw.abacus.plugin.PluginListener;
import org.nwapw.abacus.plugin.PluginManager;
import org.nwapw.abacus.tree.TokenType;
import java.util.Comparator;
import java.util.List;
/**
* A tokenzier that uses the lexer class and registered function and operator
* names to turn input into tokens in O(n) time.
*/
public class LexerTokenizer implements Tokenizer<Match<TokenType>>, PluginListener {
/**
* Comparator used to sort the tokens produced by the lexer.
*/
protected static final Comparator<TokenType> TOKEN_SORTER = Comparator.comparingInt(e -> e.priority);
/**
* The lexer instance used to turn strings into matches.
*/
private Lexer<TokenType> lexer;
/**
* Creates a new lexer tokenizer.
*/
public LexerTokenizer(){
lexer = new Lexer<TokenType>() {{
register(" ", TokenType.WHITESPACE);
register(",", TokenType.COMMA);
register("[0-9]*(\\.[0-9]+)?", TokenType.NUM);
register("\\(", TokenType.OPEN_PARENTH);
register("\\)", TokenType.CLOSE_PARENTH);
}};
}
@Override
public List<Match<TokenType>> tokenizeString(String string) {
return lexer.lexAll(string, 0, TOKEN_SORTER);
}
@Override
public void onLoad(PluginManager manager) {
for(String operator : manager.getAllOperators()){
lexer.register(Pattern.sanitize(operator), TokenType.OP);
}
for(String function : manager.getAllFunctions()){
lexer.register(Pattern.sanitize(function), TokenType.FUNCTION);
}
}
@Override
public void onUnload(PluginManager manager) {
for(String operator : manager.getAllOperators()){
lexer.unregister(Pattern.sanitize(operator), TokenType.OP);
}
for(String function : manager.getAllFunctions()){
lexer.unregister(Pattern.sanitize(function), TokenType.FUNCTION);
}
}
}

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@@ -0,0 +1,20 @@
package org.nwapw.abacus.parsing;
import org.nwapw.abacus.tree.TreeNode;
import java.util.List;
/**
* An itnerface that provides the ability to convert a list of tokens
* into a parse tree.
* @param <T> the type of tokens accepted by this parser.
*/
public interface Parser<T> {
/**
* Constructs a tree out of the given tokens.
* @param tokens the tokens to construct a tree from.
* @return the constructed tree, or null on error.
*/
public TreeNode constructTree(List<T> tokens);
}

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@@ -1,101 +1,56 @@
package org.nwapw.abacus.tree;
package org.nwapw.abacus.parsing;
import org.nwapw.abacus.Abacus;
import org.nwapw.abacus.function.Operator;
import org.nwapw.abacus.function.OperatorAssociativity;
import org.nwapw.abacus.function.OperatorType;
import org.nwapw.abacus.lexing.Lexer;
import org.nwapw.abacus.lexing.pattern.Match;
import org.nwapw.abacus.lexing.pattern.Pattern;
import org.nwapw.abacus.plugin.PluginListener;
import org.nwapw.abacus.plugin.PluginManager;
import org.nwapw.abacus.tree.*;
import java.util.*;
/**
* The builder responsible for turning strings into trees.
* A parser that uses shunting yard to rearranged matches into postfix
* and then convert them into a parse tree.
*/
public class TreeBuilder {
public class ShuntingYardParser implements Parser<Match<TokenType>>, PluginListener {
/**
* The lexer used to get the input tokens.
* The Abacus instance used to create number instances.
*/
private Lexer<TokenType> lexer;
private Abacus abacus;
/**
* The map of operator precedences.
* Map of operator precedences, loaded from the plugin operators.
*/
private Map<String, Integer> precedenceMap;
/**
* The map of operator associativity.
* Map of operator associativity, loaded from the plugin operators.
*/
private Map<String, OperatorAssociativity> associativityMap;
/**
* The map of operator types.
* Map of operator types, loaded from plugin operators.
*/
private Map<String, OperatorType> typeMap;
/**
* The abacus instance required to interact with
* other components of the calculator.
*/
private Abacus abacus;
/**
* Comparator used to sort token types.
* Creates a new Shunting Yard parser with the given Abacus instance.
* @param abacus the abacus instance.
*/
protected static Comparator<TokenType> tokenSorter = Comparator.comparingInt(e -> e.priority);
/**
* Creates a new TreeBuilder.
*/
public TreeBuilder(Abacus abacus){
public ShuntingYardParser(Abacus abacus){
this.abacus = abacus;
lexer = new Lexer<TokenType>(){{
register(" ", TokenType.WHITESPACE);
register(",", TokenType.COMMA);
register("[0-9]*(\\.[0-9]+)?", TokenType.NUM);
register("\\(", TokenType.OPEN_PARENTH);
register("\\)", TokenType.CLOSE_PARENTH);
}};
precedenceMap = new HashMap<>();
associativityMap = new HashMap<>();
typeMap = new HashMap<>();
}
/**
* Registers a function with the TreeBuilder.
* @param function the function to register.
*/
public void registerFunction(String function){
lexer.register(Pattern.sanitize(function), TokenType.FUNCTION);
}
/**
* Registers an operator with the TreeBuilder.
* @param operator the operator to register.
* @param precedence the precedence of the operator.
* @param associativity the associativity of the operator.
*/
public void registerOperator(String operator, OperatorAssociativity associativity,
OperatorType operatorType, int precedence){
lexer.register(Pattern.sanitize(operator), TokenType.OP);
precedenceMap.put(operator, precedence);
associativityMap.put(operator, associativity);
typeMap.put(operator, operatorType);
}
/**
* Tokenizes a string, converting it into matches
* @param string the string to tokenize.
* @return the list of tokens produced.
*/
public List<Match<TokenType>> tokenize(String string){
return lexer.lexAll(string, 0, tokenSorter);
}
/**
* Rearranges tokens into a postfix list, using Shunting Yard.
* @param source the source string.
* @param from the tokens to be rearranged.
* @return the resulting list of rearranged tokens.
*/
public List<Match<TokenType>> intoPostfix(String source, List<Match<TokenType>> from){
public List<Match<TokenType>> intoPostfix(List<Match<TokenType>> from){
ArrayList<Match<TokenType>> output = new ArrayList<>();
Stack<Match<TokenType>> tokenStack = new Stack<>();
while(!from.isEmpty()){
@@ -104,10 +59,10 @@ public class TreeBuilder {
if(matchType == TokenType.NUM) {
output.add(match);
} else if(matchType == TokenType.FUNCTION) {
output.add(new Match<>(0, 0, TokenType.INTERNAL_FUNCTION_END));
output.add(new Match<>("" , TokenType.INTERNAL_FUNCTION_END));
tokenStack.push(match);
} else if(matchType == TokenType.OP){
String tokenString = source.substring(match.getFrom(), match.getTo());
String tokenString = match.getContent();
OperatorType type = typeMap.get(tokenString);
int precedence = precedenceMap.get(tokenString);
OperatorAssociativity associativity = associativityMap.get(tokenString);
@@ -123,7 +78,7 @@ public class TreeBuilder {
if(!(otherMatchType == TokenType.OP || otherMatchType == TokenType.FUNCTION)) break;
if(otherMatchType == TokenType.OP){
int otherPrecedence = precedenceMap.get(source.substring(otherMatch.getFrom(), otherMatch.getTo()));
int otherPrecedence = precedenceMap.get(match.getContent());
if(otherPrecedence < precedence ||
(associativity == OperatorAssociativity.RIGHT && otherPrecedence == precedence)) {
break;
@@ -155,34 +110,33 @@ public class TreeBuilder {
/**
* Constructs a tree recursively from a list of tokens.
* @param source the source string.
* @param matches the list of tokens from the source string.
* @return the construct tree expression.
*/
public TreeNode fromStringRecursive(String source, List<Match<TokenType>> matches){
public TreeNode constructRecursive(List<Match<TokenType>> matches){
if(matches.size() == 0) return null;
Match<TokenType> match = matches.remove(0);
TokenType matchType = match.getType();
if(matchType == TokenType.OP){
String operator = source.substring(match.getFrom(), match.getTo());
String operator = match.getContent();
OperatorType type = typeMap.get(operator);
if(type == OperatorType.BINARY_INFIX){
TreeNode right = fromStringRecursive(source, matches);
TreeNode left = fromStringRecursive(source, matches);
TreeNode right = constructRecursive(matches);
TreeNode left = constructRecursive(matches);
if(left == null || right == null) return null;
else return new BinaryInfixNode(operator, left, right);
} else {
TreeNode applyTo = fromStringRecursive(source, matches);
TreeNode applyTo = constructRecursive(matches);
if(applyTo == null) return null;
else return new UnaryPrefixNode(operator, applyTo);
}
} else if(matchType == TokenType.NUM){
return new NumberNode(abacus.numberFromString(source.substring(match.getFrom(), match.getTo())));
return new NumberNode(abacus.numberFromString(match.getContent()));
} else if(matchType == TokenType.FUNCTION){
String functionName = source.substring(match.getFrom(), match.getTo());
String functionName = match.getContent();
FunctionNode node = new FunctionNode(functionName);
while(!matches.isEmpty() && matches.get(0).getType() != TokenType.INTERNAL_FUNCTION_END){
TreeNode argument = fromStringRecursive(source, matches);
TreeNode argument = constructRecursive(matches);
if(argument == null) return null;
node.prependChild(argument);
}
@@ -193,20 +147,27 @@ public class TreeBuilder {
return null;
}
/**
* Creates a tree node from a string.
* @param string the string to create a node from.
* @return the resulting tree.
*/
public TreeNode fromString(String string){
List<Match<TokenType>> matches = tokenize(string);
if(matches == null) return null;
matches.removeIf(m -> m.getType() == TokenType.WHITESPACE);
matches = intoPostfix(string, matches);
if(matches == null) return null;
Collections.reverse(matches);
return fromStringRecursive(string, matches);
@Override
public TreeNode constructTree(List<Match<TokenType>> tokens) {
tokens = intoPostfix(new ArrayList<>(tokens));
Collections.reverse(tokens);
return constructRecursive(tokens);
}
@Override
public void onLoad(PluginManager manager) {
for(String operator : manager.getAllOperators()){
Operator operatorInstance = manager.operatorFor(operator);
precedenceMap.put(operator, operatorInstance.getPrecedence());
associativityMap.put(operator, operatorInstance.getAssociativity());
typeMap.put(operator, operatorInstance.getType());
}
}
@Override
public void onUnload(PluginManager manager) {
precedenceMap.clear();
associativityMap.clear();
typeMap.clear();
}
}

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@@ -0,0 +1,18 @@
package org.nwapw.abacus.parsing;
import java.util.List;
/**
* Interface that provides the ability to convert a string into a list of tokens.
* @param <T> the type of the tokens produced.
*/
public interface Tokenizer<T> {
/**
* Converts a string into tokens.
* @param string the string to convert.
* @return the list of tokens, or null on error.
*/
public List<T> tokenizeString(String string);
}

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@@ -0,0 +1,23 @@
package org.nwapw.abacus.parsing;
import org.nwapw.abacus.tree.TreeNode;
import java.util.List;
public class TreeBuilder<T> {
private Tokenizer<T> tokenizer;
private Parser<T> parser;
public TreeBuilder(Tokenizer<T> tokenizer, Parser<T> parser){
this.tokenizer = tokenizer;
this.parser = parser;
}
public TreeNode fromString(String input){
List<T> tokens = tokenizer.tokenizeString(input);
if(tokens == null) return null;
return parser.constructTree(tokens);
}
}