1
0
mirror of https://github.com/DanilaFe/abacus synced 2026-01-25 08:05:19 +00:00

Compare commits

..

13 Commits
sin ... javafx

14 changed files with 335 additions and 531 deletions

View File

@@ -1,21 +1,21 @@
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;
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
@@ -24,7 +24,10 @@ import java.io.IOException;
*/
public class Abacus {
public static final NumberImplementation DEFAULT_IMPLEMENTATION = StandardPlugin.IMPLEMENTATION_NAIVE;
/**
* The default implementation to use for the number representation.
*/
public static final Class<? extends NumberInterface> DEFAULT_NUMBER = NaiveNumber.class;
/**
* The file used for saving and loading configuration.
*/
@@ -75,13 +78,7 @@ public class Abacus {
}
public static void main(String[] args) {
try {
UIManager.setLookAndFeel(UIManager.getSystemLookAndFeelClassName());
} catch (ClassNotFoundException | InstantiationException | UnsupportedLookAndFeelException | IllegalAccessException e) {
e.printStackTrace();
}
new Window(new Abacus()).setVisible(true);
AbacusApplication.launch(AbacusApplication.class, args);
}
/**
@@ -150,10 +147,15 @@ public class Abacus {
* @return the resulting number.
*/
public NumberInterface numberFromString(String numberString) {
NumberImplementation toInstantiate =
pluginManager.numberImplementationFor(configuration.getNumberImplementation());
if (toInstantiate == null) toInstantiate = DEFAULT_IMPLEMENTATION;
Class<? extends NumberInterface> toInstantiate =
pluginManager.numberFor(configuration.getNumberImplementation());
if (toInstantiate == null) toInstantiate = DEFAULT_NUMBER;
return toInstantiate.instanceForString(numberString);
try {
return toInstantiate.getConstructor(String.class).newInstance(numberString);
} catch (InstantiationException | IllegalAccessException | NoSuchMethodException | InvocationTargetException e) {
e.printStackTrace();
}
return null;
}
}

View File

@@ -1,6 +1,10 @@
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
@@ -8,6 +12,15 @@ import org.nwapw.abacus.number.NumberInterface;
*/
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.
*

View File

@@ -0,0 +1,20 @@
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;
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();
}
}

View File

@@ -0,0 +1,77 @@
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;
public class AbacusController {
private static final String ERR_SYNTAX = "Syntax Error";
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;
private ObservableList<HistoryModel> historyData;
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("");
}
}

View File

@@ -0,0 +1,26 @@
package org.nwapw.abacus.fx;
import javafx.scene.control.TableCell;
import javafx.scene.input.MouseEvent;
import java.awt.*;
import java.awt.datatransfer.StringSelection;
public class CopyableCell<S, T> extends TableCell<S, T> {
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);
}
}

View File

@@ -0,0 +1,42 @@
package org.nwapw.abacus.fx;
import javafx.beans.property.SimpleStringProperty;
import javafx.beans.property.StringProperty;
public class HistoryModel {
private final StringProperty input;
private final StringProperty parsed;
private final StringProperty 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);
}
public StringProperty inputProperty() {
return input;
}
public String getInput() {
return input.get();
}
public StringProperty parsedProperty() {
return parsed;
}
public String getParsed() {
return parsed.get();
}
public StringProperty outputProperty() {
return output;
}
public String getOutput() {
return output.get();
}
}

View File

@@ -93,26 +93,6 @@ public class NaiveNumber implements NumberInterface {
return this.compareTo(ZERO);
}
@Override
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
public NumberInterface promoteTo(Class<? extends NumberInterface> toClass) {
if (toClass == this.getClass()) return this;

View File

@@ -79,31 +79,6 @@ public interface NumberInterface {
*/
int signum();
/**
* Returns the least integer greater than or equal to the number.
* @return the least integer >= the number, if int can hold the value.
*/
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.
*

View File

@@ -8,15 +8,15 @@ public class PreciseNumber implements NumberInterface {
/**
* The number one.
*/
public static final PreciseNumber ONE = new PreciseNumber(BigDecimal.ONE);
static final PreciseNumber ONE = new PreciseNumber(BigDecimal.ONE);
/**
* The number zero.
*/
public static final PreciseNumber ZERO = new PreciseNumber(BigDecimal.ZERO);
static final PreciseNumber ZERO = new PreciseNumber(BigDecimal.ZERO);
/**
* The number ten.
*/
public static final PreciseNumber TEN = new PreciseNumber(BigDecimal.TEN);
static final PreciseNumber TEN = new PreciseNumber(BigDecimal.TEN);
/**
* The value of the PreciseNumber.
@@ -44,12 +44,12 @@ public class PreciseNumber implements NumberInterface {
@Override
public int getMaxPrecision() {
return 65;
return 54;
}
@Override
public NumberInterface multiply(NumberInterface multiplier) {
return new PreciseNumber(this.value.multiply(((PreciseNumber) multiplier).value));
return new PreciseNumber(value.multiply(((PreciseNumber) multiplier).value));
}
@Override
@@ -94,41 +94,6 @@ public class PreciseNumber implements NumberInterface {
return value.signum();
}
@Override
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
public NumberInterface negate() {
return new PreciseNumber(value.negate());
@@ -144,7 +109,7 @@ public class PreciseNumber implements NumberInterface {
@Override
public String toString() {
BigDecimal rounded = value.setScale(getMaxPrecision() - 15, RoundingMode.HALF_UP);
BigDecimal rounded = value.setScale(getMaxPrecision() - 4, RoundingMode.HALF_UP);
return rounded.stripTrailingZeros().toPlainString();
}
}

View File

@@ -1,75 +0,0 @@
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();
}

View File

@@ -26,9 +26,9 @@ public abstract class Plugin {
*/
private Map<String, Operator> operators;
/**
* The map of the number implementations this plugin provides.
* A hash map of operators mapped to their string names.
*/
private Map<String, NumberImplementation> numberImplementations;
private Map<String, Class<? extends NumberInterface>> numbers;
/**
* 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<>();
numberImplementations = new HashMap<>();
numbers = new HashMap<>();
enabled = false;
}
@@ -74,12 +74,12 @@ public abstract class Plugin {
}
/**
* Gets the list of number implementations provided by this plugin.
* Gets the list of all numbers provided by this plugin.
*
* @return the list of registered number implementations.
* @return the list of registered numbers.
*/
public final Set<String> providedNumberImplementations(){
return numberImplementations.keySet();
public final Set<String> providedNumbers() {
return numbers.keySet();
}
/**
@@ -103,13 +103,13 @@ public abstract class Plugin {
}
/**
* Gets the number implementation under the given name.
* Gets the class under the given name.
*
* @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.
* @param numberName the name of the class.
* @return the class, or null if the plugin doesn't provide it.
*/
public final NumberImplementation getNumberImplementation(String name){
return numberImplementations.get(name);
public final Class<? extends NumberInterface> getNumber(String numberName) {
return numbers.get(numberName);
}
/**
@@ -158,13 +158,16 @@ public abstract class Plugin {
}
/**
* 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.
* 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.
*/
protected final void registerNumberImplementation(String name, NumberImplementation implementation){
numberImplementations.put(name, implementation);
protected final void registerNumber(String name, Class<? extends NumberInterface> toRegister) {
numbers.put(name, toRegister);
}
/**
@@ -191,30 +194,6 @@ 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

View File

@@ -32,19 +32,10 @@ public class PluginManager {
*/
private Map<String, Operator> cachedOperators;
/**
* The list of number implementations that have
* List of registered number implementations that have
* been cached, that is, found in a plugin and returned.
*/
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;
private Map<String, Class<? extends NumberInterface>> cachedNumbers;
/**
* List of all functions loaded by the plugins.
*/
@@ -54,9 +45,9 @@ public class PluginManager {
*/
private Set<String> allOperators;
/**
* List of all the number implementations loaded by the plugins.
* List of all numbers loaded by the plugins.
*/
private Set<String> allNumberImplementations;
private Set<String> allNumbers;
/**
* The list of plugin listeners attached to this instance.
*/
@@ -70,12 +61,10 @@ public class PluginManager {
plugins = new HashSet<>();
cachedFunctions = new HashMap<>();
cachedOperators = new HashMap<>();
cachedNumberImplementations = new HashMap<>();
cachedInterfaceImplementations = new HashMap<>();
cachedPi = new HashMap<>();
cachedNumbers = new HashMap<>();
allFunctions = new HashSet<>();
allOperators = new HashSet<>();
allNumberImplementations = new HashSet<>();
allNumbers = new HashSet<>();
listeners = new HashSet<>();
}
@@ -91,13 +80,12 @@ 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, 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) {
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) {
if (cache.containsKey(name)) return cache.get(name);
T loadedValue = null;
@@ -133,51 +121,13 @@ public class PluginManager {
}
/**
* Gets the number implementation under the given name.
* Gets a numer implementation under the given name.
*
* @param name the name of the implementation.
* @return the implementation.
* @return the implementation class
*/
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;
public Class<? extends NumberInterface> numberFor(String name) {
return searchCached(plugins, cachedNumbers, Plugin::providedNumbers, Plugin::getNumber, name);
}
/**
@@ -214,7 +164,7 @@ public class PluginManager {
for (Plugin plugin : plugins) {
allFunctions.addAll(plugin.providedFunctions());
allOperators.addAll(plugin.providedOperators());
allNumberImplementations.addAll(plugin.providedNumberImplementations());
allNumbers.addAll(plugin.providedNumbers());
}
listeners.forEach(e -> e.onLoad(this));
}
@@ -226,7 +176,7 @@ public class PluginManager {
for (Plugin plugin : plugins) plugin.disable();
allFunctions.clear();
allOperators.clear();
allNumberImplementations.clear();
allNumbers.clear();
listeners.forEach(e -> e.onUnload(this));
}
@@ -257,12 +207,12 @@ 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> getAllNumberImplementations(){
return allNumberImplementations;
public Set<String> getAllNumbers() {
return allNumbers;
}
/**

View File

@@ -8,8 +8,6 @@ import org.nwapw.abacus.number.NaiveNumber;
import org.nwapw.abacus.number.NumberInterface;
import org.nwapw.abacus.number.PreciseNumber;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.function.BiFunction;
/**
@@ -18,8 +16,6 @@ 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>>();
/**
* The addition operator, +
*/
@@ -95,9 +91,7 @@ public class StandardPlugin extends Plugin {
//private HashMap<Class<? extends NumberInterface>, ArrayList<NumberInterface>> storedList = new HashMap<Class<? extends NumberInterface>, ArrayList<NumberInterface>>();
@Override
protected boolean matchesParams(NumberInterface[] params) {
return params.length == 1
&& params[0].fractionalPart().compareTo(NaiveNumber.ZERO.promoteTo(params[0].getClass())) == 0
&& params[0].signum() >= 0;
return params.length == 1;
}
@Override
@@ -158,40 +152,17 @@ public class StandardPlugin extends Plugin {
@Override
protected NumberInterface applyInternal(NumberInterface[] params) {
NumberInterface maxError = getMaxError(params[0]);
int n = 0;
if(params[0].signum() <= 0){
NumberInterface currentTerm = NaiveNumber.ONE.promoteTo(params[0].getClass()), sum = currentTerm;
while(FUNCTION_ABS.apply(currentTerm).compareTo(maxError) > 0){
n++;
currentTerm = currentTerm.multiply(params[0]).divide((new NaiveNumber(n)).promoteTo(params[0].getClass()));
sum = sum.add(currentTerm);
}
return sum;
}
else{
//We need n such that x^(n+1) * 3^ceil(x) <= maxError * (n+1)!.
//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().intValue())), right = maxError;
do{
sum = sum.add(nextNumerator.divide(factorial(params[0].getClass(), n+1)));
n++;
nextNumerator = nextNumerator.multiply(params[0]);
left = left.multiply(params[0]);
NumberInterface nextN = (new NaiveNumber(n+1)).promoteTo(params[0].getClass());
right = right.multiply(nextN);
//System.out.println(left + ", " + right);
}
while(left.compareTo(right) > 0);
//System.out.println(n+1);
return sum;
boolean takeReciprocal = params[0].signum() == -1;
params[0] = FUNCTION_ABS.apply(params[0]);
NumberInterface sum = sumSeries(params[0], StandardPlugin::getExpSeriesTerm, getNTermsExp(getMaxError(params[0]), params[0]));
if (takeReciprocal) {
sum = NaiveNumber.ONE.promoteTo(sum.getClass()).divide(sum);
}
return sum;
}
};
/**
* The natural log function.
* The natural log function, ln(exp(1)) = 1
*/
public static final Function FUNCTION_LN = new Function() {
@Override
@@ -232,12 +203,11 @@ public class StandardPlugin extends Plugin {
private NumberInterface getLogPartialSum(NumberInterface x) {
NumberInterface maxError = getMaxError(x);
x = x.subtract(NaiveNumber.ONE.promoteTo(x.getClass())); //Terms used are for log(x+1).
NumberInterface currentNumerator = x, currentTerm = x, sum = x;
NumberInterface currentTerm = x, sum = x;
int n = 1;
while (FUNCTION_ABS.apply(currentTerm).compareTo(maxError) > 0) {
n++;
currentNumerator = currentNumerator.multiply(x).negate();
currentTerm = currentNumerator.divide(new NaiveNumber(n).promoteTo(x.getClass()));
currentTerm = currentTerm.multiply(x).multiply((new NaiveNumber(n - 1)).promoteTo(x.getClass())).divide((new NaiveNumber(n)).promoteTo(x.getClass())).negate();
sum = sum.add(currentTerm);
}
return sum;
@@ -268,7 +238,7 @@ public class StandardPlugin extends Plugin {
}
};
/**
* The square root function.
* The square root function, sqrt(4) = 2
*/
public static final Function FUNCTION_SQRT = new Function() {
@Override
@@ -282,149 +252,43 @@ 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);
}
};
public final Function functionCos = new Function() {
@Override
protected boolean matchesParams(NumberInterface[] params) {
return params.length == 1;
}
@Override
protected NumberInterface applyInternal(NumberInterface[] params) {
return functionSin.apply(getPi(params[0].getClass()).divide(new NaiveNumber(2).promoteTo(params[0].getClass()))
.subtract(params[0]));
}
};
public final Function functionTan = new Function() {
@Override
protected boolean matchesParams(NumberInterface[] params) {
return params.length == 1;
}
@Override
protected NumberInterface applyInternal(NumberInterface[] params) {
return functionSin.apply(params[0]).divide(functionCos.apply(params[0]));
}
};
public final Function functionSec = new Function() {
@Override
protected boolean matchesParams(NumberInterface[] params) {
return params.length == 1;
}
@Override
protected NumberInterface applyInternal(NumberInterface[] params) {
return NaiveNumber.ONE.promoteTo(params[0].getClass()).divide(functionCos.apply(params[0]));
}
};
public final Function functionCsc = new Function() {
@Override
protected boolean matchesParams(NumberInterface[] params) {
return params.length == 1;
}
@Override
protected NumberInterface applyInternal(NumberInterface[] params) {
return NaiveNumber.ONE.promoteTo(params[0].getClass()).divide(functionSin.apply(params[0]));
}
};
public final Function functionCot = new Function() {
@Override
protected boolean matchesParams(NumberInterface[] params) {
return params.length == 1;
}
@Override
protected NumberInterface applyInternal(NumberInterface[] params) {
return functionCos.apply(params[0]).divide(functionCos.apply(params[0]));
}
};
/**
* 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);
}
/**
* Returns the nth term of the Taylor series (centered at 0) of e^x
*
* @param n the term required (n >= 0).
* @param x the real number at which the series is evaluated.
* @return the nth term of the series.
*/
private static NumberInterface getExpSeriesTerm(int n, NumberInterface x) {
return x.intPow(n).divide(OP_FACTORIAL.getFunction().apply((new NaiveNumber(n)).promoteTo(x.getClass())));
}
/**
* Returns the number of terms needed to evaluate the exponential function (at x)
* such that the error is at most maxError.
*
* @param maxError Maximum error permissible (This should probably be positive.)
* @param x where the function is evaluated.
* @return the number of terms needed to evaluated the exponential function.
*/
private static int getNTermsExp(NumberInterface maxError, NumberInterface x) {
//We need n such that |x^(n+1)| <= (n+1)! * maxError
//The variables LHS and RHS refer to the above inequality.
int n = 0;
x = FUNCTION_ABS.apply(x);
NumberInterface LHS = x, RHS = maxError;
while (LHS.compareTo(RHS) > 0) {
n++;
LHS = LHS.multiply(x);
RHS = RHS.multiply(new NaiveNumber(n + 1).promoteTo(RHS.getClass()));
}
return n;
}
/**
* Returns a partial sum of a series whose terms are given by the nthTermFunction, evaluated at x.
*
@@ -453,8 +317,8 @@ public class StandardPlugin extends Plugin {
@Override
public void onEnable() {
registerNumberImplementation("naive", IMPLEMENTATION_NAIVE);
registerNumberImplementation("precise", IMPLEMENTATION_PRECISE);
registerNumber("naive", NaiveNumber.class);
registerNumber("precise", PreciseNumber.class);
registerOperator("+", OP_ADD);
registerOperator("-", OP_SUBTRACT);
@@ -467,12 +331,6 @@ public class StandardPlugin extends Plugin {
registerFunction("exp", FUNCTION_EXP);
registerFunction("ln", FUNCTION_LN);
registerFunction("sqrt", FUNCTION_SQRT);
registerFunction("sin", functionSin);
registerFunction("cos", functionCos);
registerFunction("tan", functionTan);
registerFunction("sec", functionSec);
registerFunction("csc", functionCsc);
registerFunction("cot", functionCot);
}
@Override
@@ -480,58 +338,4 @@ 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>());
factorialLists.get(numberClass).add(NaiveNumber.ONE.promoteTo(numberClass));
factorialLists.get(numberClass).add(NaiveNumber.ONE.promoteTo(numberClass));
}
ArrayList<NumberInterface> list = factorialLists.get(numberClass);
if(n >= list.size()){
while(list.size() < n + 16){
list.add(list.get(list.size()-1).multiply(new NaiveNumber(list.size()).promoteTo(numberClass)));
}
}
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;
}
}

View File

@@ -0,0 +1,46 @@
<?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>