Add the list of number interface providers to Plugins.

src/main/java/org/nwapw/abacus/Abacus.java

@@ -1,7 +1,6 @@
 package org.nwapw.abacus;
 
 import org.nwapw.abacus.config.ConfigurationObject;
-import org.nwapw.abacus.fx.AbacusApplication;
 import org.nwapw.abacus.number.NaiveNumber;
 import org.nwapw.abacus.number.NumberInterface;
 import org.nwapw.abacus.parsing.LexerTokenizer;
@@ -12,7 +11,9 @@ import org.nwapw.abacus.plugin.PluginManager;
 import org.nwapw.abacus.plugin.StandardPlugin;
 import org.nwapw.abacus.tree.NumberReducer;
 import org.nwapw.abacus.tree.TreeNode;
+import org.nwapw.abacus.window.Window;
 
+import javax.swing.*;
 import java.io.File;
 import java.io.IOException;
 import java.lang.reflect.InvocationTargetException;
@@ -78,7 +79,13 @@ public class Abacus {
     }
 
     public static void main(String[] args) {
-        AbacusApplication.launch(AbacusApplication.class, args);
+        try {
+            UIManager.setLookAndFeel(UIManager.getSystemLookAndFeelClassName());
+        } catch (ClassNotFoundException | InstantiationException | UnsupportedLookAndFeelException | IllegalAccessException e) {
+            e.printStackTrace();
+        }
+
+        new Window(new Abacus()).setVisible(true);
     }
 
     /**

src/main/java/org/nwapw/abacus/fx/AbacusApplication.java

@@ -1,24 +0,0 @@
-package org.nwapw.abacus.fx;
-
-import javafx.application.Application;
-import javafx.fxml.FXMLLoader;
-import javafx.scene.Parent;
-import javafx.scene.Scene;
-import javafx.stage.Stage;
-
-/**
- * The main application class for JavaFX responsible for loading
- * and displaying the fxml file.
- */
-public class AbacusApplication extends Application {
-
-    @Override
-    public void start(Stage primaryStage) throws Exception {
-        Parent parent = FXMLLoader.load(getClass().getResource("/abacus.fxml"));
-        Scene mainScene = new Scene(parent, 320, 480);
-        primaryStage.setScene(mainScene);
-        primaryStage.setTitle("Abacus");
-        primaryStage.show();
-    }
-
-}

src/main/java/org/nwapw/abacus/fx/AbacusController.java

@@ -1,94 +0,0 @@
-package org.nwapw.abacus.fx;
-
-import javafx.collections.FXCollections;
-import javafx.collections.ObservableList;
-import javafx.fxml.FXML;
-import javafx.scene.control.*;
-import javafx.scene.text.Text;
-import javafx.util.Callback;
-import org.nwapw.abacus.Abacus;
-import org.nwapw.abacus.number.NumberInterface;
-import org.nwapw.abacus.tree.TreeNode;
-
-
-/**
- * The controller for the abacus FX UI, responsible
- * for all the user interaction.
- */
-public class AbacusController {
-
-    /**
-     * Constant string that is displayed if the text could not be lexed or parsed.
-     */
-    private static final String ERR_SYNTAX = "Syntax Error";
-    /**
-     * Constant string that is displayed if the tree could not be reduced.
-     */
-    private static final String ERR_EVAL = "Evaluation Error";
-
-    @FXML
-    private TableView<HistoryModel> historyTable;
-    @FXML
-    private TableColumn<HistoryModel, String> inputColumn;
-    @FXML
-    private TableColumn<HistoryModel, String> parsedColumn;
-    @FXML
-    private TableColumn<HistoryModel, String> outputColumn;
-    @FXML
-    private Text outputText;
-    @FXML
-    private TextField inputField;
-    @FXML
-    private Button inputButton;
-
-    /**
-     * The list of history entries, created by the users.
-     */
-    private ObservableList<HistoryModel> historyData;
-
-    /**
-     * The abacus instance used for calculations and all
-     * other main processing code.
-     */
-    private Abacus abacus;
-
-    @FXML
-    public void initialize(){
-        Callback<TableColumn<HistoryModel, String>, TableCell<HistoryModel, String>> cellFactory =
-                param -> new CopyableCell<>();
-
-        abacus = new Abacus();
-        historyData = FXCollections.observableArrayList();
-        historyTable.setItems(historyData);
-        historyTable.getSelectionModel().setCellSelectionEnabled(true);
-        inputColumn.setCellFactory(cellFactory);
-        inputColumn.setCellValueFactory(cell -> cell.getValue().inputProperty());
-        parsedColumn.setCellFactory(cellFactory);
-        parsedColumn.setCellValueFactory(cell -> cell.getValue().parsedProperty());
-        outputColumn.setCellFactory(cellFactory);
-        outputColumn.setCellValueFactory(cell -> cell.getValue().outputProperty());
-    }
-
-    @FXML
-    private void performCalculation(){
-        inputButton.setDisable(true);
-        TreeNode constructedTree = abacus.parseString(inputField.getText());
-        if(constructedTree == null){
-            outputText.setText(ERR_SYNTAX);
-            inputButton.setDisable(false);
-            return;
-        }
-        NumberInterface evaluatedNumber = abacus.evaluateTree(constructedTree);
-        if(evaluatedNumber == null){
-            outputText.setText(ERR_EVAL);
-            inputButton.setDisable(false);
-            return;
-        }
-        outputText.setText(evaluatedNumber.toString());
-        historyData.add(new HistoryModel(inputField.getText(), constructedTree.toString(), evaluatedNumber.toString()));
-
-        inputButton.setDisable(false);
-        inputField.setText("");
-    }
-
-}

src/main/java/org/nwapw/abacus/fx/CopyableCell.java

@@ -1,35 +0,0 @@
-package org.nwapw.abacus.fx;
-
-import javafx.scene.control.TableCell;
-import javafx.scene.input.MouseEvent;
-
-import java.awt.*;
-import java.awt.datatransfer.StringSelection;
-
-/**
- * A cell that copies its value to the clipboard
- * when double clicked.
- * @param <S> The type of the table view generic type.
- * @param <T> The type of the value contained in the cell.
- */
-public class CopyableCell<S, T> extends TableCell<S, T> {
-
-    /**
-     * Creates a new copyable cell.
-     */
-    public CopyableCell(){
-        addEventFilter(MouseEvent.MOUSE_CLICKED, event -> {
-            if(event.getClickCount() == 2){
-                Toolkit.getDefaultToolkit().getSystemClipboard()
-                        .setContents(new StringSelection(getText()), null);
-            }
-        });
-    }
-
-    @Override
-    protected void updateItem(T item, boolean empty) {
-        super.updateItem(item, empty);
-        setText((empty || item == null) ? null : item.toString());
-        setGraphic(null);
-    }
-}

src/main/java/org/nwapw/abacus/fx/HistoryModel.java

@@ -1,87 +0,0 @@
-package org.nwapw.abacus.fx;
-
-import javafx.beans.property.SimpleStringProperty;
-import javafx.beans.property.StringProperty;
-
-/**
- * The data model used for storing history entries.
- */
-public class HistoryModel {
-
-    /**
-     * The property used for displaying the column
-     * for the user input.
-     */
-    private final StringProperty input;
-    /**
-     * The property used for displaying the column
-     * that contains the parsed input.
-     */
-    private final StringProperty parsed;
-    /**
-     * The property used for displaying the column
-     * that contains the program output.
-     */
-    private final StringProperty output;
-
-    /**
-     * Creates a new history model with the given variables.
-     * @param input the user input
-     * @param parsed the parsed input
-     * @param output the program output.
-     */
-    public HistoryModel(String input, String parsed, String output){
-        this.input = new SimpleStringProperty();
-        this.parsed = new SimpleStringProperty();
-        this.output = new SimpleStringProperty();
-        this.input.setValue(input);
-        this.parsed.setValue(parsed);
-        this.output.setValue(output);
-    }
-
-    /**
-     * Gets the input property.
-     * @return the input property.
-     */
-    public StringProperty inputProperty() {
-        return input;
-    }
-    /**
-     * Gets the input.
-     * @return the input.
-     */
-    public String getInput() {
-        return input.get();
-    }
-
-    /**
-     * Gets the parsed input property.
-     * @return the parsed input property.
-     */
-    public StringProperty parsedProperty() {
-        return parsed;
-    }
-    /**
-     * Gets the parsed input.
-     * @return the parsed input.
-     */
-    public String getParsed() {
-        return parsed.get();
-    }
-
-    /**
-     * Gets the output property.
-     * @return the output property.
-     */
-    public StringProperty outputProperty() {
-        return output;
-    }
-    /**
-     * Gets the program output.
-     * @return the output.
-     */
-    public String getOutput() {
-        return output.get();
-    }
-
-}

src/main/java/org/nwapw/abacus/number/BinaryNumber.java

@@ -1,162 +0,0 @@
-package org.nwapw.abacus.number;
-
-public class BinaryNumber implements NumberInterface{
-
-    /**
-     * The number zero.
-     */
-    public static final BinaryNumber ZERO = new BinaryNumber(0);
-    /**
-     * The number one.
-     */
-    public static final BinaryNumber ONE = new BinaryNumber(1);
-    /**
-     * The value of this number.
-     */
-    private double value;
-
-    /**
-     * Creates a new BinaryNumber with the given string.
-     *
-     * @param value the value, which will be parsed as a double.
-     */
-    public BinaryNumber(String value) {
-        toStandard(value);
-    }
-    /**
-     * 
-     */
-    private void toStandard(String value) {
-        String before;
-        String after = "";
-        if(value.indexOf(".")==-1){
-            before=value;
-        }else{
-            before = value.substring(0,value.indexOf("."));
-            after = value.substring(value.indexOf(".")+1);
-        }
-        double sum = 0;
-        for(int it=0;before.length()>0;it++){
-            if(before.charAt(before.length()-1)=='1'){
-                sum+=Math.pow(2,it);
-            }
-            if(before.length()>1) {
-                before = before.substring(0, before.length()-1);
-            }else{
-                before = "";
-            }
-        }
-        for(int it=-1;after.length()>0;it--) {
-            if (after.charAt(0) == '1') {
-                sum += Math.pow(2, it);
-            }
-            if (after.length() > 1) {
-                after = after.substring(1);
-            } else {
-                after = "";
-            }
-        }
-
-        this.value = sum;
-    }
-    
-    /**
-     * Creates a new BinaryNumber with the given value.
-     *
-     * @param value the value to use.
-     */
-    public BinaryNumber(double value) {
-        toStandard(""+value);
-    }
-
-    @Override
-    public int getMaxPrecision() {
-        return 18;
-    }
-
-    @Override
-    public NumberInterface multiply(NumberInterface multiplier) {
-        return new BinaryNumber(value * ((BinaryNumber) multiplier).value);
-    }
-
-    @Override
-    public NumberInterface divide(NumberInterface divisor) {
-        return new BinaryNumber(value / ((BinaryNumber) divisor).value);
-    }
-
-    @Override
-    public NumberInterface add(NumberInterface summand) {
-        return new BinaryNumber(value + ((BinaryNumber) summand).value);
-    }
-
-    @Override
-    public NumberInterface subtract(NumberInterface subtrahend) {
-        return new BinaryNumber(value - ((BinaryNumber) subtrahend).value);
-    }
-
-    @Override
-    public NumberInterface negate() {
-        return new BinaryNumber(-value);
-    }
-
-    @Override
-    public NumberInterface intPow(int exponent) {
-        if (exponent == 0) {
-            return BinaryNumber.ONE;
-        }
-        boolean takeReciprocal = exponent < 0;
-        exponent = Math.abs(exponent);
-        NumberInterface power = this;
-        for (int currentExponent = 1; currentExponent < exponent; currentExponent++) {
-            power = power.multiply(this);
-        }
-        if (takeReciprocal) {
-            power = BinaryNumber.ONE.divide(power);
-        }
-        return power;
-    }
-
-    @Override
-    public int compareTo(NumberInterface number) {
-        BinaryNumber num = (BinaryNumber) number;
-        return Double.compare(value, num.value);
-    }
-
-    @Override
-    public int signum() {
-        return this.compareTo(ZERO);
-    }
-
-    @Override
-    public NumberInterface promoteTo(Class<? extends NumberInterface> toClass) {
-        if (toClass == this.getClass()) return this;
-        else if (toClass == PreciseNumber.class) {
-            return new PreciseNumber(Double.toString(value));
-        }
-        return null;
-    }
-
-    public String toString() {
-        double sum = 0;
-        double tempValue = Math.floor(value);
-        double fraction = value-tempValue;
-        for (int it=0;tempValue > 0;it++) {
-
-            if (tempValue % 2 == 1) {
-                sum+=Math.pow(10,it);
-                tempValue-=1;
-            }
-            tempValue=tempValue/2;
-        }
-        for (int it=0;fraction > 0;it--) {
-
-            if (fraction % 2 >= 1) {
-                sum+=Math.pow(10,it);
-                fraction-=1;
-            }
-            fraction=fraction*2;
-        }
-        double shiftBy = Math.pow(10, 10);
-        return Double.toString(Math.round(sum * shiftBy) / shiftBy);
-    }
-}

src/main/java/org/nwapw/abacus/number/NaiveNumber.java

@@ -94,8 +94,23 @@ public class NaiveNumber implements NumberInterface {
     }
 
     @Override
-    public int ceiling() {
-        return (int) Math.ceil(value);
+    public NumberInterface ceiling() {
+        return new NaiveNumber(Math.ceil(value));
+    }
+
+    @Override
+    public NumberInterface floor() {
+        return new NaiveNumber(Math.floor(value));
+    }
+
+    @Override
+    public NumberInterface fractionalPart() {
+        return new NaiveNumber(value - Math.floor(value));
+    }
+
+    @Override
+    public int intValue() {
+        return (int)value;
     }
 
     @Override

src/main/java/org/nwapw/abacus/number/NumberInterface.java

@@ -83,7 +83,26 @@ public interface NumberInterface {
      * Returns the least integer greater than or equal to the number.
      * @return the least integer >= the number, if int can hold the value.
      */
-    int ceiling();
+    NumberInterface ceiling();
+
+    /**
+     * Return the greatest integer less than or equal to the number.
+     * @return the greatest int >= the number, if int can hold the value.
+     */
+    NumberInterface floor();
+
+    /**
+     * Returns the fractional part of the number.
+     * @return the fractional part of the number.
+     */
+    NumberInterface fractionalPart();
+
+    /**
+     * Returns the integer representation of this number, discarding any fractional part,
+     * if int can hold the value.
+     * @return
+     */
+    int intValue();
 
     /**
      * Promotes this class to another number class.

src/main/java/org/nwapw/abacus/number/PreciseNumber.java

@@ -1,12 +1,9 @@
 package org.nwapw.abacus.number;
 
 import java.math.BigDecimal;
+import java.math.MathContext;
 import java.math.RoundingMode;
 
-/**
- * A number that uses a BigDecimal to store its value,
- * leading to infinite possible precision.
- */
 public class PreciseNumber implements NumberInterface {
 
     /**
@@ -99,8 +96,38 @@ public class PreciseNumber implements NumberInterface {
     }
 
     @Override
-    public int ceiling() {
-        return (int) Math.ceil(value.doubleValue());
+    public NumberInterface ceiling() {
+        String str = value.toPlainString();
+        int decimalIndex = str.indexOf('.');
+        if(decimalIndex != -1){
+            return this.floor().add(ONE);
+        }
+        return this;
+    }
+
+    @Override
+    public NumberInterface floor() {
+        String str = value.toPlainString();
+        int decimalIndex = str.indexOf('.');
+        if(decimalIndex != -1){
+            return new PreciseNumber(str.substring(0, decimalIndex));
+        }
+        return this;
+    }
+
+    @Override
+    public NumberInterface fractionalPart() {
+        String str = value.toPlainString();
+        int decimalIndex = str.indexOf('.');
+        if(decimalIndex != -1){
+            return new PreciseNumber(str.substring(decimalIndex + 1));
+        }
+        return ZERO;
+    }
+
+    @Override
+    public int intValue() {
+        return value.intValue();
     }
 
     @Override

src/main/java/org/nwapw/abacus/plugin/Plugin.java

@@ -29,6 +29,10 @@ public abstract class Plugin {
      * A hash map of operators mapped to their string names.
      */
     private Map<String, Class<? extends NumberInterface>> numbers;
+    /**
+     * A hash map of constant providers for each number type.
+     */
+    private Map<Class<?>, java.util.function.Function<String, NumberInterface>> constantProviders;
     /**
      * The plugin manager in which to search for functions
      * not inside this package,
@@ -52,6 +56,7 @@ public abstract class Plugin {
         functions = new HashMap<>();
         operators = new HashMap<>();
         numbers = new HashMap<>();
+        constantProviders = new HashMap<>();
         enabled = false;
     }
 
@@ -82,6 +87,14 @@ public abstract class Plugin {
         return numbers.keySet();
     }
 
+    /**
+     * Gets the list of all constant providers provided by this plugin.
+     * @return the list of constant providers.
+     */
+    public final Set<Class<?>> providedConstantProviders() {
+        return constantProviders.keySet();
+    }
+
     /**
      * Gets a function under the given function name.
      *
@@ -112,6 +125,16 @@ public abstract class Plugin {
         return numbers.get(numberName);
     }
 
+    /**
+     * Gets the constant provider for the given class.
+     *
+     * @param pluginClass the class for which to provide constants.
+     * @return the provider, or null, if the plugin doesn't provide it.
+     */
+    public final java.util.function.Function<String, NumberInterface> getConstantProvider(Class<?> pluginClass){
+        return constantProviders.get(pluginClass);
+    }
+
     /**
      * Enables the function, loading the necessary instances
      * of functions.
@@ -131,6 +154,8 @@ public abstract class Plugin {
         onDisable();
         functions.clear();
         operators.clear();
+        numbers.clear();
+        constantProviders.clear();
         enabled = false;
     }
 
@@ -170,6 +195,19 @@ public abstract class Plugin {
         numbers.put(name, toRegister);
     }
 
+    /**
+     * To be used in load(). Registers a constant provider
+     * with the plugin internally, which makes it possible
+     * for the calculations to look up constants for each different
+     * number type.
+     * @param providerFor the class the provider works with.
+     * @param constantProvider the provider to register.
+     */
+    protected final void registerConstantProvider(Class<?> providerFor,
+                                                   java.util.function.Function<String, NumberInterface> constantProvider) {
+        constantProviders.put(providerFor, constantProvider);
+    }
+
     /**
      * Searches the PluginManager for the given function name.
      * This can be used by the plugins internally in order to call functions
@@ -194,6 +232,30 @@ public abstract class Plugin {
         return manager.operatorFor(name);
     }
 
+    /**
+     * Searches the PluginManager for the given number implementation.
+     * This can be used by the plugins internally in order to
+     * find classes by name that they do not provide.
+     *
+     * @param name the name for which to search
+     * @return the resulting number class.
+     */
+    protected final Class<? extends NumberInterface> numberFor(String name) {
+        return manager.numberFor(name);
+    }
+
+    /**
+     * Searches the PluginManager for the given constant provider.
+     * This can be used by the plugins internally in order
+     * to find constant providers for number provider they do not provide.
+     *
+     * @param forClass the class for which to get a generator for.
+     * @return the resulting generator
+     */
+    protected final java.util.function.Function<String, NumberInterface> constantProviderFor(Class<?> forClass){
+        return manager.constantProviderFor(forClass);
+    }
+
     /**
      * Abstract method to be overridden by plugin implementation, in which the plugins
      * are supposed to register the functions they provide and do any other

src/main/java/org/nwapw/abacus/plugin/PluginManager.java

@@ -36,6 +36,11 @@ public class PluginManager {
      * been cached, that is, found in a plugin and returned.
      */
     private Map<String, Class<? extends NumberInterface>> cachedNumbers;
+    /**
+     * List of registered constant providers for every
+     * number class.
+     */
+    private Map<Class<?>, java.util.function.Function<String, NumberInterface>> cachedConstantProviders;
     /**
      * List of all functions loaded by the plugins.
      */
@@ -48,6 +53,10 @@ public class PluginManager {
      * List of all numbers loaded by the plugins.
      */
     private Set<String> allNumbers;
+    /**
+     * List of all the constant providers loaded by the plugins.
+     */
+    private Set<Class<?>> allConstantProviders;
     /**
      * The list of plugin listeners attached to this instance.
      */
@@ -62,9 +71,11 @@ public class PluginManager {
         cachedFunctions = new HashMap<>();
         cachedOperators = new HashMap<>();
         cachedNumbers = new HashMap<>();
+        cachedConstantProviders = new HashMap<>();
         allFunctions = new HashSet<>();
         allOperators = new HashSet<>();
         allNumbers = new HashSet<>();
+        allConstantProviders = new HashSet<>();
         listeners = new HashSet<>();
     }
 
@@ -80,12 +91,13 @@ public class PluginManager {
      * @param getFunction the function to get the T value under the given name
      * @param name        the name to search for
      * @param <T>         the type of element being search
+     * @param <K>         the type of key that the cache is indexed by.
      * @return the retrieved element, or null if it was not found.
      */
-    private static <T> T searchCached(Collection<Plugin> plugins, Map<String, T> cache,
-                                      java.util.function.Function<Plugin, Set<String>> setFunction,
-                                      java.util.function.BiFunction<Plugin, String, T> getFunction,
-                                      String name) {
+    private static <T, K> T searchCached(Collection<Plugin> plugins, Map<K, T> cache,
+                                      java.util.function.Function<Plugin, Set<K>> setFunction,
+                                      java.util.function.BiFunction<Plugin, K, T> getFunction,
+                                      K name) {
         if (cache.containsKey(name)) return cache.get(name);
 
         T loadedValue = null;
@@ -130,6 +142,15 @@ public class PluginManager {
         return searchCached(plugins, cachedNumbers, Plugin::providedNumbers, Plugin::getNumber, name);
     }
 
+    /**
+     * Gets the constant provider for the given class.
+     * @param forClass the class to get the provider for.
+     * @return the provider.
+     */
+    public java.util.function.Function<String, NumberInterface> constantProviderFor(Class<?> forClass){
+        return searchCached(plugins, cachedConstantProviders, Plugin::providedConstantProviders, Plugin::getConstantProvider, forClass);
+    }
+
     /**
      * Adds an instance of Plugin that already has been instantiated.
      *
@@ -165,6 +186,7 @@ public class PluginManager {
             allFunctions.addAll(plugin.providedFunctions());
             allOperators.addAll(plugin.providedOperators());
             allNumbers.addAll(plugin.providedNumbers());
+            allConstantProviders.addAll(plugin.providedConstantProviders());
         }
         listeners.forEach(e -> e.onLoad(this));
     }
@@ -177,6 +199,7 @@ public class PluginManager {
         allFunctions.clear();
         allOperators.clear();
         allNumbers.clear();
+        allConstantProviders.clear();
         listeners.forEach(e -> e.onUnload(this));
     }
 
@@ -215,6 +238,14 @@ public class PluginManager {
         return allNumbers;
     }
 
+    /**
+     * Gets all the constant providers loaded by the Plugin Manager.
+     * @return the set of all constant providers that were loaded.
+     */
+    public Set<Class<?>> getAllConstantProviders() {
+        return allConstantProviders;
+    }
+
     /**
      * Adds a plugin change listener to this plugin manager.
      *

src/main/java/org/nwapw/abacus/plugin/StandardPlugin.java

@@ -8,6 +8,7 @@ import org.nwapw.abacus.number.NaiveNumber;
 import org.nwapw.abacus.number.NumberInterface;
 import org.nwapw.abacus.number.PreciseNumber;
 
+import java.lang.reflect.InvocationTargetException;
 import java.util.ArrayList;
 import java.util.HashMap;
 import java.util.function.BiFunction;
@@ -19,6 +20,7 @@ import java.util.function.BiFunction;
 public class StandardPlugin extends Plugin {
 
     private static HashMap<Class<? extends NumberInterface>, ArrayList<NumberInterface>> factorialLists = new HashMap<Class<? extends NumberInterface>, ArrayList<NumberInterface>>();
+    static HashMap<Class<? extends NumberInterface>, NumberInterface> piValues = new HashMap<Class<? extends NumberInterface>, NumberInterface>();
 
     /**
      * The addition operator, +
@@ -172,7 +174,7 @@ public class StandardPlugin extends Plugin {
                 //right and left refer to lhs and rhs in the above inequality.
                 NumberInterface sum = NaiveNumber.ONE.promoteTo(params[0].getClass());
                 NumberInterface nextNumerator = params[0];
-                NumberInterface left = params[0].multiply((new NaiveNumber(3)).promoteTo(params[0].getClass()).intPow(params[0].ceiling())), right = maxError;
+                NumberInterface left = params[0].multiply((new NaiveNumber(3)).promoteTo(params[0].getClass()).intPow(params[0].ceiling().intValue())), right = maxError;
                 do{
                     sum = sum.add(nextNumerator.divide(factorial(params[0].getClass(), n+1)));
                     n++;
@@ -280,6 +282,32 @@ public class StandardPlugin extends Plugin {
         }
     };
 
+    /**
+     * The sine function (the argument is interpreted in radians).
+     */
+    public static final Function FUNCTION_SIN = new Function() {
+        @Override
+        protected boolean matchesParams(NumberInterface[] params) {
+            return params.length == 1;
+        }
+
+        @Override
+        protected NumberInterface applyInternal(NumberInterface[] params) {
+            NumberInterface pi = getPi(params[0].getClass());
+            NumberInterface twoPi = pi.multiply(new NaiveNumber(2).promoteTo(pi.getClass()));
+            NumberInterface theta = getSmallAngle(params[0]);
+            //System.out.println(theta);
+            if(theta.compareTo(pi.multiply(new NaiveNumber(1.5).promoteTo(twoPi.getClass()))) >= 0){
+                theta = theta.subtract(twoPi);
+            }
+            else if(theta.compareTo(pi.divide(new NaiveNumber(2).promoteTo(pi.getClass()))) > 0){
+                theta = pi.subtract(theta);
+            }
+            //System.out.println(theta);
+            return sinTaylor(theta);
+        }
+    };
+
     public StandardPlugin(PluginManager manager) {
         super(manager);
     }
@@ -326,6 +354,7 @@ public class StandardPlugin extends Plugin {
         registerFunction("exp", FUNCTION_EXP);
         registerFunction("ln", FUNCTION_LN);
         registerFunction("sqrt", FUNCTION_SQRT);
+        registerFunction("sin", FUNCTION_SIN);
     }
 
     @Override
@@ -333,6 +362,13 @@ public class StandardPlugin extends Plugin {
 
     }
 
+    /**
+     * A factorial function that uses memoization for each number class; it efficiently
+     * computes factorials of non-negative integers.
+     * @param numberClass type of number to return.
+     * @param n non-negative integer.
+     * @return a number of numClass with value n factorial.
+     */
     public static NumberInterface factorial(Class<? extends NumberInterface> numberClass, int n){
         if(!factorialLists.containsKey(numberClass)){
             factorialLists.put(numberClass, new ArrayList<NumberInterface>());
@@ -348,4 +384,71 @@ public class StandardPlugin extends Plugin {
         return list.get(n);
     }
 
+    /**
+     * Returns the value of the Taylor series for sin (centered at 0) at x.
+     * @param x where the series is evaluated.
+     * @return the value of the series
+     */
+    private static NumberInterface sinTaylor(NumberInterface x){
+        NumberInterface power = x, multiplier = x.multiply(x).negate(), currentTerm = x, sum = x;
+        NumberInterface maxError = getMaxError(x);
+        int n = 1;
+        do{
+            n += 2;
+            power = power.multiply(multiplier);
+            currentTerm = power.divide(factorial(x.getClass(), n));
+            sum = sum.add(currentTerm);
+        } while (FUNCTION_ABS.apply(currentTerm).compareTo(maxError) > 0);
+        return sum;
+    }
+
+    /**
+     * Returns an approximation of Pi, with appropriate accuracy for given number class.
+     * @param numClass type of number.
+     * @return A number of class numClass, with value approximately Pi = 3.1415...
+     */
+    public static NumberInterface getPi(Class<? extends NumberInterface> numClass){
+        if(!piValues.containsKey(numClass)){
+            //https://en.wikipedia.org/wiki/Chudnovsky_algorithm
+            NumberInterface C = FUNCTION_SQRT.apply(new NaiveNumber(10005).promoteTo(numClass)).multiply(new NaiveNumber(426880).promoteTo(numClass));
+            NumberInterface M = NaiveNumber.ONE.promoteTo(numClass);
+            NumberInterface L = new NaiveNumber(13591409).promoteTo(numClass);
+            NumberInterface X = M;
+            NumberInterface sum = L;
+            int termsNeeded = C.getMaxPrecision()/13 + 1;
+
+            NumberInterface lSummand = new NaiveNumber(545140134).promoteTo(L.getClass());
+            NumberInterface xMultiplier = new NaiveNumber(262537412).promoteTo(X.getClass())
+                    .multiply(new NaiveNumber(1000000000).promoteTo(X.getClass()))
+                    .add(new NaiveNumber(640768000).promoteTo(X.getClass()))
+                    .negate();
+            for(int i = 0; i < termsNeeded; i++){
+                M = M
+                        .multiply(new NaiveNumber(12*i+2).promoteTo(M.getClass()))
+                        .multiply(new NaiveNumber(12*i+6).promoteTo(M.getClass()))
+                        .multiply(new NaiveNumber(12*i+10).promoteTo(M.getClass()))
+                        .divide(new NaiveNumber(Math.pow(i+1,3)).promoteTo(M.getClass()));
+                L = L.add(lSummand);
+                X = X.multiply(xMultiplier);
+                sum = sum.add(M.multiply(L).divide(X));
+            }
+            piValues.put(numClass, C.divide(sum));
+        }
+        return piValues.get(numClass);
+    }
+
+    /**
+     * Returns an equivalent angle in the interval [0, 2pi)
+     * @param phi an angle (in radians).
+     * @return theta in [0, 2pi) that differs from phi by a multiple of 2pi.
+     */
+    private static NumberInterface getSmallAngle(NumberInterface phi){
+        NumberInterface twoPi = getPi(phi.getClass()).multiply(new NaiveNumber("2").promoteTo(phi.getClass()));
+        NumberInterface theta = FUNCTION_ABS.apply(phi).subtract(twoPi
+        .multiply(FUNCTION_ABS.apply(phi).divide(twoPi).floor())); //Now theta is in [0, 2pi).
+        if(phi.signum() < 0){
+            theta = twoPi.subtract(theta);
+        }
+        return theta;
+    }
 }

src/main/resources/abacus.fxml

@@ -1,46 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-
-<?import javafx.geometry.Insets?>
-<?import javafx.scene.control.*?>
-<?import javafx.scene.layout.BorderPane?>
-<?import javafx.scene.layout.VBox?>
-<?import javafx.scene.text.Text?>
-<BorderPane xmlns="http://javafx.com/javafx"
-            xmlns:fx="http://javafx.com/fxml"
-            fx:controller="org.nwapw.abacus.fx.AbacusController">
-    <center>
-        <TabPane>
-            <Tab text="Calculator" closable="false">
-                <BorderPane>
-                    <center>
-                        <TableView fx:id="historyTable">
-                            <columnResizePolicy>
-                                <TableView fx:constant="CONSTRAINED_RESIZE_POLICY"/>
-                            </columnResizePolicy>
-                            <columns>
-                                <TableColumn fx:id="inputColumn" text="Input" sortable="false"/>
-                                <TableColumn fx:id="parsedColumn" text="Parsed" sortable="false"/>
-                                <TableColumn fx:id="outputColumn" text="Output" sortable="false"/>
-                            </columns>
-                        </TableView>
-                    </center>
-                    <bottom>
-                        <VBox>
-                            <ScrollPane prefHeight="50" vbarPolicy="NEVER">
-                                <padding>
-                                    <Insets top="10" bottom="10" left="10" right="10"/>
-                                </padding>
-                                <Text fx:id="outputText"/>
-                            </ScrollPane>
-                            <TextField fx:id="inputField" onAction="#performCalculation"/>
-                            <Button fx:id="inputButton" text="Calculate" maxWidth="Infinity"
-                                    onAction="#performCalculation"/>
-                        </VBox>
-                    </bottom>
-                </BorderPane>
-            </Tab>
-            <Tab text="Settings" closable="false"/>
-        </TabPane>
-    </center>
-
-</BorderPane>