Add comments to all the pi-related stuff.

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

@@ -1,21 +1,21 @@
 package org.nwapw.abacus;
 
-import org.nwapw.abacus.config.Configuration;
-import org.nwapw.abacus.fx.AbacusApplication;
-import org.nwapw.abacus.number.NaiveNumber;
+import org.nwapw.abacus.config.ConfigurationObject;
 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.NumberImplementation;
 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;
 
 /**
  * The main calculator class. This is responsible
@@ -24,10 +24,7 @@ import java.lang.reflect.InvocationTargetException;
  */
 public class Abacus {
 
-    /**
-     * The default implementation to use for the number representation.
-     */
-    public static final Class<? extends NumberInterface> DEFAULT_NUMBER = NaiveNumber.class;
+    public static final NumberImplementation DEFAULT_IMPLEMENTATION = StandardPlugin.IMPLEMENTATION_NAIVE;
     /**
      * The file used for saving and loading configuration.
      */
@@ -46,7 +43,7 @@ public class Abacus {
     /**
      * The configuration loaded from a file.
      */
-    private Configuration configuration;
+    private ConfigurationObject configuration;
     /**
      * The tree builder used to construct a tree
      * from a string.
@@ -57,10 +54,10 @@ public class Abacus {
      * Creates a new instance of the Abacus calculator.
      */
     public Abacus() {
-        pluginManager = new PluginManager(this);
+        pluginManager = new PluginManager();
         numberReducer = new NumberReducer(this);
-        configuration = new Configuration(CONFIG_FILE);
-        configuration.saveTo(CONFIG_FILE);
+        configuration = new ConfigurationObject(CONFIG_FILE);
+        configuration.save(CONFIG_FILE);
         LexerTokenizer lexerTokenizer = new LexerTokenizer();
         ShuntingYardParser shuntingYardParser = new ShuntingYardParser(this);
         treeBuilder = new TreeBuilder<>(lexerTokenizer, shuntingYardParser);
@@ -78,7 +75,13 @@ 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);
     }
 
     /**
@@ -114,7 +117,7 @@ public class Abacus {
      *
      * @return the configuration object.
      */
-    public Configuration getConfiguration() {
+    public ConfigurationObject getConfiguration() {
         return configuration;
     }
 
@@ -147,15 +150,10 @@ public class Abacus {
      * @return the resulting number.
      */
     public NumberInterface numberFromString(String numberString) {
-        Class<? extends NumberInterface> toInstantiate =
-                pluginManager.numberFor(configuration.getNumberImplementation());
-        if (toInstantiate == null) toInstantiate = DEFAULT_NUMBER;
+        NumberImplementation toInstantiate =
+                pluginManager.numberImplementationFor(configuration.getNumberImplementation());
+        if (toInstantiate == null) toInstantiate = DEFAULT_IMPLEMENTATION;
 
-        try {
-            return toInstantiate.getConstructor(String.class).newInstance(numberString);
-        } catch (InstantiationException | IllegalAccessException | NoSuchMethodException | InvocationTargetException e) {
-            e.printStackTrace();
-        }
-        return null;
+        return toInstantiate.instanceForString(numberString);
     }
 }

src/main/java/org/nwapw/abacus/config/Configuration.java

@@ -1,108 +1,14 @@
 package org.nwapw.abacus.config;
 
-import com.moandjiezana.toml.Toml;
-import com.moandjiezana.toml.TomlWriter;
-
-import java.io.File;
-import java.io.IOException;
-import java.util.Arrays;
-import java.util.HashSet;
-import java.util.Set;
-
 /**
- * The configuration object that stores
- * options that the user can change.
+ * Serializable class that will be used to load TOML
+ * configurations.
  */
 public class Configuration {
 
     /**
-     * The defaults TOML string.
+     * The type of number this calculator should use.
      */
-    private static final String DEFAULT_CONFIG =
-            "numberImplementation = \"naive\"\n" +
-            "disabledPlugins = []";
-    /**
-     * The defaults TOML object, parsed from the string.
-     */
-    private static final Toml DEFAULT_TOML = new Toml().read(DEFAULT_CONFIG);
-    /**
-     * The TOML writer used to write this configuration to a file.
-     */
-    private static final TomlWriter TOML_WRITER = new TomlWriter();
-
-    /**
-     * The implementation of the number that should be used.
-     */
-    private String numberImplementation = "<default>";
-    /**
-     * The list of disabled plugins in this Configuration.
-     */
-    private Set<String> disabledPlugins = new HashSet<>();
-
-    /**
-     * Creates a new configuration with the given values.
-     * @param numberImplementation the number implementation, like "naive" or "precise"
-     * @param disabledPlugins the list of disabled plugins.
-     */
-    public Configuration(String numberImplementation, String[] disabledPlugins){
-        this.numberImplementation = numberImplementation;
-        this.disabledPlugins.addAll(Arrays.asList(disabledPlugins));
-    }
-
-    /**
-     * Loads a configuration from a given file, keeping non-specified fields default.
-     * @param fromFile the file to load from.
-     */
-    public Configuration(File fromFile){
-        if(!fromFile.exists()) return;
-        copyFrom(new Toml(DEFAULT_TOML).read(fromFile).to(Configuration.class));
-    }
-
-    /**
-     * Copies the values from the given configuration into this one.
-     * @param otherConfiguration the configuration to copy from.
-     */
-    public void copyFrom(Configuration otherConfiguration){
-        this.numberImplementation = otherConfiguration.numberImplementation;
-        this.disabledPlugins.addAll(otherConfiguration.disabledPlugins);
-    }
-
-    /**
-     * Saves this configuration to the given file, creating
-     * any directories that do not exist.
-     * @param file the file to save to.
-     */
-    public void saveTo(File file){
-        if(file.getParentFile() != null) file.getParentFile().mkdirs();
-        try {
-            TOML_WRITER.write(this, file);
-        } catch (IOException e) {
-            e.printStackTrace();
-        }
-    }
-
-    /**
-     * Gets the number implementation from this configuration.
-     * @return the number implementation.
-     */
-    public String getNumberImplementation() {
-        return numberImplementation;
-    }
-
-    /**
-     * Sets the number implementation for the configuration
-     * @param numberImplementation the number implementation.
-     */
-    public void setNumberImplementation(String numberImplementation) {
-        this.numberImplementation = numberImplementation;
-    }
-
-    /**
-     * Gets the list of disabled plugins.
-     * @return the list of disabled plugins.
-     */
-    public Set<String> getDisabledPlugins() {
-        return disabledPlugins;
-    }
+    public String numberType;
 
 }

src/main/java/org/nwapw/abacus/config/ConfigurationObject.java

@@ -0,0 +1,111 @@
+package org.nwapw.abacus.config;
+
+import com.moandjiezana.toml.Toml;
+import com.moandjiezana.toml.TomlWriter;
+
+import java.io.File;
+import java.io.IOException;
+
+/**
+ * A configuration object, which essentially
+ * manages saving, loading, and getting values
+ * from the configuration. While Configuration is
+ * the data model, this is the interface with it.
+ */
+public class ConfigurationObject {
+
+    /**
+     * The writer used to store the configuration.
+     */
+    private static final TomlWriter TOML_WRITER = new TomlWriter();
+    /**
+     * The configuration instance being modeled.
+     */
+    private Configuration configuration;
+
+    /**
+     * Creates a new configuration object with the given config.
+     *
+     * @param config the config to use.
+     */
+    public ConfigurationObject(Configuration config) {
+        setup(config);
+    }
+
+    /**
+     * Create a configuration object by attempting to
+     * load a config from the given path, using the
+     * default configuration otherwise.
+     *
+     * @param path the path to attempt to load.
+     */
+    public ConfigurationObject(File path) {
+        Configuration config;
+        if (!path.exists()) {
+            config = getDefaultConfig();
+        } else {
+            Toml parse = new Toml();
+            parse.read(path);
+            config = parse.to(Configuration.class);
+        }
+        setup(config);
+    }
+
+    /**
+     * Creates a new configuration object with the
+     * default configuration.
+     */
+    public ConfigurationObject() {
+        setup(getDefaultConfig());
+    }
+
+    /**
+     * Sets up the ConfigurationObject.
+     * different constructors do different things,
+     * but they all lead here.
+     *
+     * @param configuration the configuration to set up with.
+     */
+    private void setup(Configuration configuration) {
+        this.configuration = configuration;
+    }
+
+    /**
+     * Creates a default configuration.
+     *
+     * @return the newly created default configuration.
+     */
+    private Configuration getDefaultConfig() {
+        configuration = new Configuration();
+        configuration.numberType = "naive";
+        return configuration;
+    }
+
+    /**
+     * Returns the implementation the user has requested to
+     * represent their numbers.
+     *
+     * @return the implementation name.
+     */
+    public String getNumberImplementation() {
+        return configuration.numberType;
+    }
+
+    /**
+     * Saves the ConfigurationObject to the given file.
+     *
+     * @param toFile the file to save ot.
+     * @return true if the save succeed, false if otherwise.
+     */
+    public boolean save(File toFile) {
+        if (toFile.getParentFile() != null) toFile.getParentFile().mkdirs();
+        try {
+            TOML_WRITER.write(configuration, toFile);
+            return true;
+        } catch (IOException e) {
+            e.printStackTrace();
+        }
+        return false;
+    }
+
+}

src/main/java/org/nwapw/abacus/function/Function.java

@@ -1,10 +1,6 @@
 package org.nwapw.abacus.function;
 
-import org.nwapw.abacus.number.NaiveNumber;
 import org.nwapw.abacus.number.NumberInterface;
-import org.nwapw.abacus.number.PreciseNumber;
-
-import java.util.HashMap;
 
 /**
  * A function that operates on one or more
@@ -12,15 +8,6 @@ import java.util.HashMap;
  */
 public abstract class Function {
 
-    /**
-     * A map to correctly promote different number implementations to each other.
-     */
-    private static final HashMap<Class<? extends NumberInterface>, Integer> priorityMap =
-            new HashMap<Class<? extends NumberInterface>, Integer>() {{
-                put(NaiveNumber.class, 0);
-                put(PreciseNumber.class, 1);
-            }};
-
     /**
      * Checks whether the given params will work for the given function.
      *

src/main/java/org/nwapw/abacus/function/OperatorType.java

@@ -4,5 +4,5 @@ package org.nwapw.abacus.function;
  * The type of an operator, describing how it should behave.
  */
 public enum OperatorType {
-    BINARY_INFIX, UNARY_POSTFIX, UNARY_PREFIX
+    BINARY_INFIX, UNARY_POSTFIX
 }

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

@@ -1,170 +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.control.cell.CheckBoxListCell;
-import javafx.scene.text.Text;
-import javafx.util.Callback;
-import javafx.util.StringConverter;
-import org.nwapw.abacus.Abacus;
-import org.nwapw.abacus.config.Configuration;
-import org.nwapw.abacus.number.NumberInterface;
-import org.nwapw.abacus.plugin.PluginListener;
-import org.nwapw.abacus.plugin.PluginManager;
-import org.nwapw.abacus.tree.TreeNode;
-
-import java.util.Set;
-
-
-/**
- * The controller for the abacus FX UI, responsible
- * for all the user interaction.
- */
-public class AbacusController implements PluginListener {
-
-    /**
-     * 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;
-    @FXML
-    private ComboBox<String> numberImplementationBox;
-    @FXML
-    private ListView<ToggleablePlugin> enabledPluginView;
-
-    /**
-     * 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 ObservableList<String> numberImplementationOptions;
-
-    /**
-     * The list of plugin objects that can be toggled on and off,
-     * and, when reloaded, get added to the plugin manager's black list.
-     */
-    private ObservableList<ToggleablePlugin> enabledPlugins;
-
-    private Abacus abacus;
-
-    @FXML
-    public void initialize(){
-        Callback<TableColumn<HistoryModel, String>, TableCell<HistoryModel, String>> cellFactory =
-                param -> new CopyableCell<>();
-        Callback<ListView<ToggleablePlugin>, ListCell<ToggleablePlugin>> pluginCellFactory =
-                param -> new CheckBoxListCell<>(ToggleablePlugin::enabledProperty, new StringConverter<ToggleablePlugin>() {
-                    @Override
-                    public String toString(ToggleablePlugin object) {
-                        return object.getClassName().substring(object.getClassName().lastIndexOf('.') + 1);
-                    }
-
-                    @Override
-                    public ToggleablePlugin fromString(String string) {
-                        return new ToggleablePlugin(true, string);
-                    }
-                });
-
-        historyData = FXCollections.observableArrayList();
-        historyTable.setItems(historyData);
-        numberImplementationOptions = FXCollections.observableArrayList();
-        numberImplementationBox.setItems(numberImplementationOptions);
-        historyTable.getSelectionModel().setCellSelectionEnabled(true);
-        enabledPlugins = FXCollections.observableArrayList();
-        enabledPluginView.setItems(enabledPlugins);
-        enabledPluginView.setCellFactory(pluginCellFactory);
-        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());
-
-        abacus = new Abacus();
-        abacus.getPluginManager().addListener(this);
-        abacus.getPluginManager().reload();
-    }
-
-    @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("");
-    }
-
-    @FXML
-    private void performReload(){
-        Configuration configuration = abacus.getConfiguration();
-        Set<String> disabledPlugins = configuration.getDisabledPlugins();
-        disabledPlugins.clear();
-        for(ToggleablePlugin pluginEntry : enabledPlugins){
-            if(!pluginEntry.isEnabled()) disabledPlugins.add(pluginEntry.getClassName());
-        }
-        abacus.getPluginManager().reload();
-    }
-
-    @FXML
-    private void performSave(){
-        Configuration configuration = abacus.getConfiguration();
-        configuration.setNumberImplementation(numberImplementationBox.getSelectionModel().getSelectedItem());
-        configuration.saveTo(Abacus.CONFIG_FILE);
-    }
-
-    @Override
-    public void onLoad(PluginManager manager) {
-        Configuration configuration = abacus.getConfiguration();
-        Set<String> disabledPlugins = configuration.getDisabledPlugins();
-        numberImplementationOptions.addAll(abacus.getPluginManager().getAllNumbers());
-        String actualImplementation = configuration.getNumberImplementation();
-        String toSelect = (numberImplementationOptions.contains(actualImplementation)) ? actualImplementation : "<default>";
-        numberImplementationBox.getSelectionModel().select(toSelect);
-        for(Class<?> pluginClass : abacus.getPluginManager().getLoadedPluginClasses()){
-            String fullName = pluginClass.getName();
-            enabledPlugins.add(new ToggleablePlugin(!disabledPlugins.contains(fullName), fullName));
-        }
-    }
-
-    @Override
-    public void onUnload(PluginManager manager) {
-        enabledPlugins.clear();
-        numberImplementationOptions.clear();
-    }
-}

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/fx/ToggleablePlugin.java

@@ -1,29 +0,0 @@
-package org.nwapw.abacus.fx;
-
-import javafx.beans.property.BooleanProperty;
-import javafx.beans.property.SimpleBooleanProperty;
-
-public class ToggleablePlugin {
-
-    private final BooleanProperty enabled;
-    private final String className;
-
-    public ToggleablePlugin(boolean enabled, String className){
-        this.enabled = new SimpleBooleanProperty();
-        this.enabled.setValue(enabled);
-        this.className = className;
-    }
-
-    public BooleanProperty enabledProperty() {
-        return enabled;
-    }
-
-    public boolean isEnabled() {
-        return enabled.get();
-    }
-
-    public String getClassName() {
-        return className;
-    }
-
-}

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

@@ -3,24 +3,20 @@ package org.nwapw.abacus.number;
 import java.math.BigDecimal;
 import java.math.RoundingMode;
 
-/**
- * A number that uses a BigDecimal to store its value,
- * leading to infinite possible precision.
- */
 public class PreciseNumber implements NumberInterface {
 
     /**
      * The number one.
      */
-    static final PreciseNumber ONE = new PreciseNumber(BigDecimal.ONE);
+    public static final PreciseNumber ONE = new PreciseNumber(BigDecimal.ONE);
     /**
      * The number zero.
      */
-    static final PreciseNumber ZERO = new PreciseNumber(BigDecimal.ZERO);
+    public static final PreciseNumber ZERO = new PreciseNumber(BigDecimal.ZERO);
     /**
      * The number ten.
      */
-    static final PreciseNumber TEN = new PreciseNumber(BigDecimal.TEN);
+    public static final PreciseNumber TEN = new PreciseNumber(BigDecimal.TEN);
 
     /**
      * The value of the PreciseNumber.
@@ -99,8 +95,38 @@ 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/parsing/ShuntingYardParser.java

@@ -55,12 +55,9 @@ public class ShuntingYardParser implements Parser<Match<TokenType>>, PluginListe
     public List<Match<TokenType>> intoPostfix(List<Match<TokenType>> from) {
         ArrayList<Match<TokenType>> output = new ArrayList<>();
         Stack<Match<TokenType>> tokenStack = new Stack<>();
-        TokenType previousType;
-        TokenType matchType = null;
         while (!from.isEmpty()) {
             Match<TokenType> match = from.remove(0);
-            previousType = matchType;
-            matchType = match.getType();
+            TokenType matchType = match.getType();
             if (matchType == TokenType.NUM) {
                 output.add(match);
             } else if (matchType == TokenType.FUNCTION) {
@@ -77,13 +74,7 @@ public class ShuntingYardParser implements Parser<Match<TokenType>>, PluginListe
                     continue;
                 }
 
-                if(tokenString.equals("-") && (previousType == null || previousType == TokenType.OP ||
-                        previousType == TokenType.OPEN_PARENTH)){
-                    from.add(0, new Match<>("`", TokenType.OP));
-                    continue;
-                }
-
-                while (!tokenStack.empty() && type == OperatorType.BINARY_INFIX) {
+                while (!tokenStack.empty()) {
                     Match<TokenType> otherMatch = tokenStack.peek();
                     TokenType otherMatchType = otherMatch.getType();
                     if (!(otherMatchType == TokenType.OP || otherMatchType == TokenType.FUNCTION)) break;
@@ -112,8 +103,8 @@ public class ShuntingYardParser implements Parser<Match<TokenType>>, PluginListe
         }
         while (!tokenStack.empty()) {
             Match<TokenType> match = tokenStack.peek();
-            TokenType newMatchType = match.getType();
-            if (!(newMatchType == TokenType.OP || newMatchType == TokenType.FUNCTION)) return null;
+            TokenType matchType = match.getType();
+            if (!(matchType == TokenType.OP || matchType == TokenType.FUNCTION)) return null;
             output.add(tokenStack.pop());
         }
         return output;
@@ -136,11 +127,11 @@ public class ShuntingYardParser implements Parser<Match<TokenType>>, PluginListe
                 TreeNode right = constructRecursive(matches);
                 TreeNode left = constructRecursive(matches);
                 if (left == null || right == null) return null;
-                else return new BinaryNode(operator, left, right);
+                else return new BinaryInfixNode(operator, left, right);
             } else {
                 TreeNode applyTo = constructRecursive(matches);
                 if (applyTo == null) return null;
-                else return new UnaryNode(operator, applyTo);
+                else return new UnaryPrefixNode(operator, applyTo);
             }
         } else if (matchType == TokenType.NUM) {
             return new NumberNode(abacus.numberFromString(match.getContent()));

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

@@ -0,0 +1,75 @@
+package org.nwapw.abacus.plugin;
+
+import org.nwapw.abacus.number.NumberInterface;
+
+import java.util.HashMap;
+import java.util.Map;
+import java.util.function.Function;
+
+/**
+ * A class that holds data about a number implementation.
+ */
+public abstract class NumberImplementation {
+
+    /**
+     * The list of paths through which this implementation can be promoted.
+     */
+    protected Map<Class<? extends NumberInterface>, Function<NumberInterface, NumberInterface>> promotionPaths;
+    /**
+     * The implementation class for this implementation.
+     */
+    private Class<? extends NumberInterface> implementation;
+    /**
+     * The priority of converting into this number implementation.
+     */
+    private int priority;
+
+    /**
+     * Creates a new number implementation with the given data.
+     * @param implementation the implementation class.
+     * @param priority the priority, higher -> more likely to be converted into.
+     */
+    public NumberImplementation(Class<? extends NumberInterface> implementation, int priority){
+        this.implementation = implementation;
+        this.priority = priority;
+        promotionPaths = new HashMap<>();
+    }
+
+    /**
+     * Gets the list of all promotion paths this implementation can take.
+     * @return the map of documentation paths.
+     */
+    public final Map<Class<? extends NumberInterface>, Function<NumberInterface, NumberInterface>> getPromotionPaths(){
+        return promotionPaths;
+    }
+
+    /**
+     * Gets the implementation class used by this implementation.
+     * @return the implementation class.
+     */
+    public final Class<? extends NumberInterface> getImplementation(){
+        return implementation;
+    }
+
+    /**
+     * Gets the priority of this number implementation.
+     * @return the priority.
+     */
+    public final int getPriority(){
+        return priority;
+    }
+
+    /**
+     * Abstract function to create a new instance from a string.
+     * @param string the string to create a number from.
+     * @return the resulting number.
+     */
+    public abstract NumberInterface instanceForString(String string);
+
+    /**
+     * Get the instance of pi with the given implementation.
+     * @return pi
+     */
+    public abstract NumberInterface instanceForPi();
+
+}

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

@@ -26,9 +26,9 @@ public abstract class Plugin {
      */
     private Map<String, Operator> operators;
     /**
-     * A hash map of operators mapped to their string names.
+     * The map of the number implementations this plugin provides.
      */
-    private Map<String, Class<? extends NumberInterface>> numbers;
+    private Map<String, NumberImplementation> numberImplementations;
     /**
      * The plugin manager in which to search for functions
      * not inside this package,
@@ -51,7 +51,7 @@ public abstract class Plugin {
         this.manager = manager;
         functions = new HashMap<>();
         operators = new HashMap<>();
-        numbers = new HashMap<>();
+        numberImplementations = new HashMap<>();
         enabled = false;
     }
 
@@ -74,12 +74,12 @@ public abstract class Plugin {
     }
 
     /**
-     * Gets the list of all numbers provided by this plugin.
+     * Gets the list of number implementations provided by this plugin.
      *
-     * @return the list of registered numbers.
+     * @return the list of registered number implementations.
      */
-    public final Set<String> providedNumbers() {
-        return numbers.keySet();
+    public final Set<String> providedNumberImplementations(){
+        return numberImplementations.keySet();
     }
 
     /**
@@ -103,13 +103,13 @@ public abstract class Plugin {
     }
 
     /**
-     * Gets the class under the given name.
+     * Gets the number implementation under the given name.
      *
-     * @param numberName the name of the class.
-     * @return the class, or null if the plugin doesn't provide it.
+     * @param name the name of the number implementation to look up.
+     * @return the number implementation associated with that name, or null if the plugin doesn't provide it.
      */
-    public final Class<? extends NumberInterface> getNumber(String numberName) {
-        return numbers.get(numberName);
+    public final NumberImplementation getNumberImplementation(String name){
+        return numberImplementations.get(name);
     }
 
     /**
@@ -158,16 +158,13 @@ public abstract class Plugin {
     }
 
     /**
-     * To be used in load(). Registers a number class
-     * with the plugin internally, which makes it possible
-     * for the user to select it as an "implementation" for the
-     * number that they would like to use.
-     *
-     * @param name       the name to register it under.
-     * @param toRegister the class to register.
+     * To be used in load(). Registers a new number implementation with the plugin.
+     * This makes it accessible to the plugin manager.
+     * @param name the name of the implementation.
+     * @param implementation the actual implementation class to register.
      */
-    protected final void registerNumber(String name, Class<? extends NumberInterface> toRegister) {
-        numbers.put(name, toRegister);
+    protected final void registerNumberImplementation(String name, NumberImplementation implementation){
+        numberImplementations.put(name, implementation);
     }
 
     /**
@@ -194,6 +191,30 @@ public abstract class Plugin {
         return manager.operatorFor(name);
     }
 
+    /**
+     * Searches the PluginManager for the given number implementation
+     * name. This can be used by the plugins internally in order to find
+     * implementations that they do not provide.
+     *
+     * @param name the name for which to search.
+     * @return the resulting number implementation, or null if none was found.
+     */
+    protected final NumberImplementation numberImplementationFor(String name){
+        return manager.numberImplementationFor(name);
+    }
+
+    /**
+     * Searches the plugin manager for a Pi value for the given number implementation.
+     * This is done so that number implementations with various degrees of precision
+     * can provide their own pi values, without losing said precision by
+     * promoting NaiveNumbers.
+     * @param forClass the class to which to find the pi instance.
+     * @return the pi value for the given class.
+     */
+    protected final NumberInterface getPi(Class<? extends NumberInterface> forClass){
+        return manager.piFor(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

@@ -1,6 +1,5 @@
 package org.nwapw.abacus.plugin;
 
-import org.nwapw.abacus.Abacus;
 import org.nwapw.abacus.function.Function;
 import org.nwapw.abacus.function.Operator;
 import org.nwapw.abacus.number.NumberInterface;
@@ -33,10 +32,19 @@ public class PluginManager {
      */
     private Map<String, Operator> cachedOperators;
     /**
-     * List of registered number implementations that have
+     * The list of number implementations that have
      * been cached, that is, found in a plugin and returned.
      */
-    private Map<String, Class<? extends NumberInterface>> cachedNumbers;
+    private Map<String, NumberImplementation> cachedNumberImplementations;
+    /**
+     * The list of number implementations that have been
+     * found by their implementation class.
+     */
+    private Map<Class<? extends NumberInterface>, NumberImplementation> cachedInterfaceImplementations;
+    /**
+     * The pi values for each implementation class that have already been computer.
+     */
+    private Map<Class<? extends NumberInterface>, NumberInterface> cachedPi;
     /**
      * List of all functions loaded by the plugins.
      */
@@ -46,32 +54,28 @@ public class PluginManager {
      */
     private Set<String> allOperators;
     /**
-     * List of all numbers loaded by the plugins.
+     * List of all the number implementations loaded by the plugins.
      */
-    private Set<String> allNumbers;
+    private Set<String> allNumberImplementations;
     /**
      * The list of plugin listeners attached to this instance.
      */
     private Set<PluginListener> listeners;
-    /**
-     * The abacus instance used to access other
-     * components of the application.
-     */
-    private Abacus abacus;
 
     /**
      * Creates a new plugin manager.
      */
-    public PluginManager(Abacus abacus) {
-        this.abacus = abacus;
+    public PluginManager() {
         loadedPluginClasses = new HashSet<>();
         plugins = new HashSet<>();
         cachedFunctions = new HashMap<>();
         cachedOperators = new HashMap<>();
-        cachedNumbers = new HashMap<>();
+        cachedNumberImplementations = new HashMap<>();
+        cachedInterfaceImplementations = new HashMap<>();
+        cachedPi = new HashMap<>();
         allFunctions = new HashSet<>();
         allOperators = new HashSet<>();
-        allNumbers = new HashSet<>();
+        allNumberImplementations = new HashSet<>();
         listeners = new HashSet<>();
     }
 
@@ -87,12 +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;
@@ -128,13 +133,51 @@ public class PluginManager {
     }
 
     /**
-     * Gets a numer implementation under the given name.
-     *
+     * Gets the number implementation under the given name.
      * @param name the name of the implementation.
-     * @return the implementation class
+     * @return the implementation.
      */
-    public Class<? extends NumberInterface> numberFor(String name) {
-        return searchCached(plugins, cachedNumbers, Plugin::providedNumbers, Plugin::getNumber, name);
+    public NumberImplementation numberImplementationFor(String name){
+        return searchCached(plugins, cachedNumberImplementations, Plugin::providedNumberImplementations,
+                Plugin::getNumberImplementation, name);
+    }
+
+    /**
+     * Gets the number implementation for the given implementation class.
+     * @param name the class for which to find the implementation.
+     * @return the implementation.
+     */
+    public NumberImplementation interfaceImplementationFor(Class<? extends NumberInterface> name){
+        if(cachedInterfaceImplementations.containsKey(name)) return cachedInterfaceImplementations.get(name);
+        NumberImplementation toReturn = null;
+        outside:
+        for(Plugin plugin : plugins){
+            for(String implementationName : plugin.providedNumberImplementations()){
+                NumberImplementation implementation = plugin.getNumberImplementation(implementationName);
+                if(implementation.getImplementation().equals(name)) {
+                    toReturn = implementation;
+                    break outside;
+                }
+            }
+        }
+        cachedInterfaceImplementations.put(name, toReturn);
+        return toReturn;
+    }
+
+    /**
+     * Gets the mathematical constant pi for the given implementation class.
+     * @param forClass the class for which to find pi.
+     * @return pi
+     */
+    public NumberInterface piFor(Class<? extends NumberInterface> forClass){
+        if(cachedPi.containsKey(forClass)) return cachedPi.get(forClass);
+        NumberImplementation implementation = interfaceImplementationFor(forClass);
+        NumberInterface generatedPi = null;
+        if(implementation != null){
+            generatedPi = implementation.instanceForPi();
+        }
+        cachedPi.put(forClass, generatedPi);
+        return generatedPi;
     }
 
     /**
@@ -167,16 +210,11 @@ public class PluginManager {
      * Loads all the plugins in the PluginManager.
      */
     public void load() {
-        Set<String> disabledPlugins = abacus.getConfiguration().getDisabledPlugins();
+        for (Plugin plugin : plugins) plugin.enable();
         for (Plugin plugin : plugins) {
-            if(disabledPlugins.contains(plugin.getClass().getName())) continue;
-            plugin.enable();
-        }
-        for (Plugin plugin : plugins) {
-            if(disabledPlugins.contains(plugin.getClass().getName())) continue;
             allFunctions.addAll(plugin.providedFunctions());
             allOperators.addAll(plugin.providedOperators());
-            allNumbers.addAll(plugin.providedNumbers());
+            allNumberImplementations.addAll(plugin.providedNumberImplementations());
         }
         listeners.forEach(e -> e.onLoad(this));
     }
@@ -185,18 +223,11 @@ public class PluginManager {
      * Unloads all the plugins in the PluginManager.
      */
     public void unload() {
-        listeners.forEach(e -> e.onUnload(this));
-        Set<String> disabledPlugins = abacus.getConfiguration().getDisabledPlugins();
-        for (Plugin plugin : plugins) {
-            if(disabledPlugins.contains(plugin.getClass().getName())) continue;
-            plugin.disable();
-        }
-        cachedFunctions.clear();
-        cachedOperators.clear();
-        cachedNumbers.clear();
+        for (Plugin plugin : plugins) plugin.disable();
         allFunctions.clear();
         allOperators.clear();
-        allNumbers.clear();
+        allNumberImplementations.clear();
+        listeners.forEach(e -> e.onUnload(this));
     }
 
     /**
@@ -204,7 +235,7 @@ public class PluginManager {
      */
     public void reload() {
         unload();
-        load();
+        reload();
     }
 
     /**
@@ -226,12 +257,12 @@ public class PluginManager {
     }
 
     /**
-     * Gets all the number implementations loaded by the Plugin Manager
+     * Gets all the number implementations loaded by the Plugin Manager.
      *
-     * @return the set of all implementations that were loaded
+     * @return the set of all implementations that were loaded.
      */
-    public Set<String> getAllNumbers() {
-        return allNumbers;
+    public Set<String> getAllNumberImplementations(){
+        return allNumberImplementations;
     }
 
     /**
@@ -252,12 +283,4 @@ public class PluginManager {
         listeners.remove(listener);
     }
 
-    /**
-     * Gets a list of all the plugin class files that have been
-     * added to the plugin manager.
-     * @return the list of all the added plugin classes.
-     */
-    public Set<Class<?>> getLoadedPluginClasses() {
-        return loadedPluginClasses;
-    }
 }

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

@@ -52,20 +52,6 @@ public class StandardPlugin extends Plugin {
             return params[0].subtract(params[1]);
         }
     });
-    /**
-     * The negation operator, -
-     */
-    public static final Operator OP_NEGATE = new Operator(OperatorAssociativity.LEFT, OperatorType.UNARY_PREFIX, 0, new Function() {
-        @Override
-        protected boolean matchesParams(NumberInterface[] params) {
-            return params.length == 1;
-        }
-
-        @Override
-        protected NumberInterface applyInternal(NumberInterface[] params) {
-            return params[0].negate();
-        }
-    });
     /**
      * The multiplication operator, *
      */
@@ -90,12 +76,16 @@ public class StandardPlugin extends Plugin {
     public static final Operator OP_DIVIDE = new Operator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 1, new Function() {
         @Override
         protected boolean matchesParams(NumberInterface[] params) {
-            return params.length == 2;
+            return params.length >= 1;
         }
 
         @Override
         protected NumberInterface applyInternal(NumberInterface[] params) {
-            return params[0].divide(params[1]);
+            NumberInterface product = params[0];
+            for (int i = 1; i < params.length; i++) {
+                product = product.multiply(params[i]);
+            }
+            return product;
         }
     });
     /**
@@ -182,7 +172,7 @@ 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++;
@@ -290,6 +280,84 @@ public class StandardPlugin extends Plugin {
         }
     };
 
+    /**
+     * The sine function (the argument is interpreted in radians).
+     */
+    public final Function functionSin = 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], pi);
+            //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);
+        }
+    };
+
+    /**
+     * The implementation for double-based naive numbers.
+     */
+    public static final NumberImplementation IMPLEMENTATION_NAIVE = new NumberImplementation(NaiveNumber.class, 0) {
+        @Override
+        public NumberInterface instanceForString(String string) {
+            return new NaiveNumber(string);
+        }
+
+        @Override
+        public NumberInterface instanceForPi() {
+            return new NaiveNumber(Math.PI);
+        }
+    };
+
+    /**
+     * The implementation for the infinite-precision BigDecimal.
+     */
+    public static final NumberImplementation IMPLEMENTATION_PRECISE = new NumberImplementation(PreciseNumber.class, 0) {
+        @Override
+        public NumberInterface instanceForString(String string) {
+            return new PreciseNumber(string);
+        }
+
+        @Override
+        public NumberInterface instanceForPi() {
+            NumberInterface C = FUNCTION_SQRT.apply(new PreciseNumber("10005")).multiply(new PreciseNumber("426880"));
+            NumberInterface M = PreciseNumber.ONE;
+            NumberInterface L = new PreciseNumber("13591409");
+            NumberInterface X = M;
+            NumberInterface sum = L;
+            int termsNeeded = C.getMaxPrecision()/13 + 1;
+
+            NumberInterface lSummand = new PreciseNumber("545140134");
+            NumberInterface xMultiplier = new PreciseNumber("262537412")
+                    .multiply(new PreciseNumber("1000000000"))
+                    .add(new PreciseNumber("640768000"))
+                    .negate();
+            for(int i = 0; i < termsNeeded; i++){
+                M = M
+                        .multiply(new NaiveNumber(12*i+2).promoteTo(PreciseNumber.class))
+                        .multiply(new NaiveNumber(12*i+6).promoteTo(PreciseNumber.class))
+                        .multiply(new NaiveNumber(12*i+10).promoteTo(PreciseNumber.class))
+                        .divide(new NaiveNumber(Math.pow(i+1,3)).promoteTo(PreciseNumber.class));
+                L = L.add(lSummand);
+                X = X.multiply(xMultiplier);
+                sum = sum.add(M.multiply(L).divide(X));
+            }
+            return C.divide(sum);
+        }
+    };
+
     public StandardPlugin(PluginManager manager) {
         super(manager);
     }
@@ -322,12 +390,11 @@ public class StandardPlugin extends Plugin {
 
     @Override
     public void onEnable() {
-        registerNumber("naive", NaiveNumber.class);
-        registerNumber("precise", PreciseNumber.class);
+        registerNumberImplementation("naive", IMPLEMENTATION_NAIVE);
+        registerNumberImplementation("precise", IMPLEMENTATION_PRECISE);
 
         registerOperator("+", OP_ADD);
         registerOperator("-", OP_SUBTRACT);
-        registerOperator("`", OP_NEGATE);
         registerOperator("*", OP_MULTIPLY);
         registerOperator("/", OP_DIVIDE);
         registerOperator("^", OP_CARET);
@@ -337,6 +404,7 @@ public class StandardPlugin extends Plugin {
         registerFunction("exp", FUNCTION_EXP);
         registerFunction("ln", FUNCTION_LN);
         registerFunction("sqrt", FUNCTION_SQRT);
+        registerFunction("sin", functionSin);
     }
 
     @Override
@@ -344,9 +412,16 @@ 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<>());
+            factorialLists.put(numberClass, new ArrayList<NumberInterface>());
             factorialLists.get(numberClass).add(NaiveNumber.ONE.promoteTo(numberClass));
             factorialLists.get(numberClass).add(NaiveNumber.ONE.promoteTo(numberClass));
         }
@@ -359,4 +434,36 @@ 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 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 pi){
+        NumberInterface twoPi = pi.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/java/org/nwapw/abacus/tree/BinaryInfixNode.java

@@ -3,7 +3,7 @@ package org.nwapw.abacus.tree;
 /**
  * A tree node that represents an operation being applied to two operands.
  */
-public class BinaryNode extends TreeNode {
+public class BinaryInfixNode extends TreeNode {
 
     /**
      * The operation being applied.
@@ -18,7 +18,7 @@ public class BinaryNode extends TreeNode {
      */
     private TreeNode right;
 
-    private BinaryNode() {
+    private BinaryInfixNode() {
     }
 
     /**
@@ -27,7 +27,7 @@ public class BinaryNode extends TreeNode {
      *
      * @param operation the operation.
      */
-    public BinaryNode(String operation) {
+    public BinaryInfixNode(String operation) {
         this(operation, null, null);
     }
 
@@ -39,7 +39,7 @@ public class BinaryNode extends TreeNode {
      * @param left      the left node of the expression.
      * @param right     the right node of the expression.
      */
-    public BinaryNode(String operation, TreeNode left, TreeNode right) {
+    public BinaryInfixNode(String operation, TreeNode left, TreeNode right) {
         this.operation = operation;
         this.left = left;
         this.right = right;

src/main/java/org/nwapw/abacus/tree/NumberReducer.java

@@ -28,15 +28,15 @@ public class NumberReducer implements Reducer<NumberInterface> {
     public NumberInterface reduceNode(TreeNode node, Object... children) {
         if (node instanceof NumberNode) {
             return ((NumberNode) node).getNumber();
-        } else if (node instanceof BinaryNode) {
+        } else if (node instanceof BinaryInfixNode) {
             NumberInterface left = (NumberInterface) children[0];
             NumberInterface right = (NumberInterface) children[1];
-            Function function = abacus.getPluginManager().operatorFor(((BinaryNode) node).getOperation()).getFunction();
+            Function function = abacus.getPluginManager().operatorFor(((BinaryInfixNode) node).getOperation()).getFunction();
             if (function == null) return null;
             return function.apply(left, right);
-        } else if (node instanceof UnaryNode) {
+        } else if (node instanceof UnaryPrefixNode) {
             NumberInterface child = (NumberInterface) children[0];
-            Function functionn = abacus.getPluginManager().operatorFor(((UnaryNode) node).getOperation()).getFunction();
+            Function functionn = abacus.getPluginManager().operatorFor(((UnaryPrefixNode) node).getOperation()).getFunction();
             if (functionn == null) return null;
             return functionn.apply(child);
         } else if (node instanceof FunctionNode) {

src/main/java/org/nwapw/abacus/tree/UnaryPrefixNode.java

@@ -1,6 +1,6 @@
 package org.nwapw.abacus.tree;
 
-public class UnaryNode extends TreeNode {
+public class UnaryPrefixNode extends TreeNode {
 
     /**
      * The operation this node will apply.
@@ -16,7 +16,7 @@ public class UnaryNode extends TreeNode {
      *
      * @param operation the operation for this node.
      */
-    public UnaryNode(String operation) {
+    public UnaryPrefixNode(String operation) {
         this(operation, null);
     }
 
@@ -26,7 +26,7 @@ public class UnaryNode extends TreeNode {
      * @param operation the operation for this node.
      * @param applyTo   the node to apply the function to.
      */
-    public UnaryNode(String operation, TreeNode applyTo) {
+    public UnaryPrefixNode(String operation, TreeNode applyTo) {
         this.operation = operation;
         this.applyTo = applyTo;
     }

src/main/resources/abacus.fxml

@@ -1,61 +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?>
-<?import javafx.scene.layout.HBox?>
-<?import javafx.scene.layout.GridPane?>
-<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">
-                <GridPane hgap="10" vgap="10">
-                    <padding><Insets left="10" right="10" top="10" bottom="10"/></padding>
-                    <Label text="Number Implementation" GridPane.columnIndex="0" GridPane.rowIndex="0"/>
-                    <ComboBox fx:id="numberImplementationBox" GridPane.columnIndex="1" GridPane.rowIndex="0"/>
-                    <ListView fx:id="enabledPluginView"
-                              GridPane.rowIndex="1" GridPane.columnIndex="0"
-                              GridPane.columnSpan="2" maxHeight="100"/>
-                    <HBox GridPane.columnIndex="0" GridPane.columnSpan="2" GridPane.rowIndex="2" spacing="10">
-                        <Button text="Apply" onAction="#performSave"/>
-                        <Button text="Reload" onAction="#performReload"/>
-                    </HBox>
-                </GridPane>
-            </Tab>
-        </TabPane>
-    </center>
-
-</BorderPane>