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

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7 Commits

Author SHA1 Message Date
Arthur Drobot
f97d16c640 Comment out debugging output. 2017-07-31 23:09:11 -07:00
Arthur Drobot
a0bba03c2c Separate power and factorial calculations to fix large precision loss in exp. 2017-07-31 22:56:55 -07:00
Arthur Drobot
8666e96420 Remove unused code and functions in StandardPlugin. 2017-07-31 14:53:41 -07:00
Arthur Drobot
fd40e6b297 Rewrite exp. (Now works faster.) Add private factorial function to StandardPlugin as well. 2017-07-31 14:49:25 -07:00
Arthur Drobot
79ccd61af3 Add ceiling to NumberInterface and the two numbers that implement it. 2017-07-31 13:25:23 -07:00
Arthur Drobot
699ba9e193 Merge branch 'master' of https://github.com/DanilaFe/abacus 2017-07-31 12:40:19 -07:00
Arthur Drobot
e43f223086 Optimize log. 2017-07-31 12:39:56 -07:00
10 changed files with 80 additions and 257 deletions

View File

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

View File

@@ -1,20 +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;
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

@@ -1,77 +0,0 @@
package org.nwapw.abacus.fx;
import javafx.collections.FXCollections;
import javafx.collections.ObservableList;
import javafx.fxml.FXML;
import javafx.scene.control.*;
import javafx.scene.text.Text;
import javafx.util.Callback;
import org.nwapw.abacus.Abacus;
import org.nwapw.abacus.number.NumberInterface;
import org.nwapw.abacus.tree.TreeNode;
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

@@ -1,26 +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;
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

@@ -1,42 +0,0 @@
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

@@ -93,6 +93,11 @@ public class NaiveNumber implements NumberInterface {
return this.compareTo(ZERO);
}
@Override
public int ceiling() {
return (int) Math.ceil(value);
}
@Override
public NumberInterface promoteTo(Class<? extends NumberInterface> toClass) {
if (toClass == this.getClass()) return this;

View File

@@ -79,6 +79,12 @@ 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.
*/
int ceiling();
/**
* Promotes this class to another number class.
*

View File

@@ -1,6 +1,7 @@
package org.nwapw.abacus.number;
import java.math.BigDecimal;
import java.math.MathContext;
import java.math.RoundingMode;
public class PreciseNumber implements NumberInterface {
@@ -49,7 +50,7 @@ public class PreciseNumber implements NumberInterface {
@Override
public NumberInterface multiply(NumberInterface multiplier) {
return new PreciseNumber(value.multiply(((PreciseNumber) multiplier).value));
return new PreciseNumber(this.value.multiply(((PreciseNumber) multiplier).value));
}
@Override
@@ -94,6 +95,11 @@ public class PreciseNumber implements NumberInterface {
return value.signum();
}
@Override
public int ceiling() {
return (int) Math.ceil(value.doubleValue());
}
@Override
public NumberInterface negate() {
return new PreciseNumber(value.negate());

View File

@@ -8,6 +8,8 @@ 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;
/**
@@ -16,6 +18,8 @@ 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, +
*/
@@ -152,17 +156,40 @@ public class StandardPlugin extends Plugin {
@Override
protected NumberInterface applyInternal(NumberInterface[] params) {
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);
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())), 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;
}
return sum;
}
};
/**
* The natural log function, ln(exp(1)) = 1
* The natural log function.
*/
public static final Function FUNCTION_LN = new Function() {
@Override
@@ -203,11 +230,12 @@ 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 currentTerm = x, sum = x;
NumberInterface currentNumerator = x, currentTerm = x, sum = x;
int n = 1;
while (FUNCTION_ABS.apply(currentTerm).compareTo(maxError) > 0) {
n++;
currentTerm = currentTerm.multiply(x).multiply((new NaiveNumber(n - 1)).promoteTo(x.getClass())).divide((new NaiveNumber(n)).promoteTo(x.getClass())).negate();
currentNumerator = currentNumerator.multiply(x).negate();
currentTerm = currentNumerator.divide(new NaiveNumber(n).promoteTo(x.getClass()));
sum = sum.add(currentTerm);
}
return sum;
@@ -238,7 +266,7 @@ public class StandardPlugin extends Plugin {
}
};
/**
* The square root function, sqrt(4) = 2
* The square root function.
*/
public static final Function FUNCTION_SQRT = new Function() {
@Override
@@ -256,39 +284,6 @@ public class StandardPlugin extends Plugin {
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.
*
@@ -338,4 +333,19 @@ public class StandardPlugin extends Plugin {
}
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);
}
}

View File

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