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Code Issues Releases Wiki Activity

Merge pull request #9 from DanilaFe/promotion-system

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Implement a basic promotion system.
This commit is contained in:
Danila Fedorin 2017-09-06 15:05:22 -07:00 committed by GitHub
commit 5417b45106
17 changed files with 406 additions and 338 deletions
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31
core/src/main/java/org/nwapw/abacus/Abacus.java
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@ -2,6 +2,7 @@ package org.nwapw.abacus;
import org.nwapw.abacus.config.Configuration;
import org.nwapw.abacus.number.NumberInterface;
import org.nwapw.abacus.number.PromotionManager;
import org.nwapw.abacus.parsing.LexerTokenizer;
import org.nwapw.abacus.parsing.ShuntingYardParser;
import org.nwapw.abacus.parsing.TreeBuilder;
@ -42,6 +43,10 @@ public class Abacus {
* from a string.
*/
private TreeBuilder treeBuilder;
/**
* Promotion manager responsible for the promotion system.
*/
private PromotionManager promotionManager;
/**
* Creates a new instance of the Abacus calculator.
@ -55,9 +60,20 @@ public class Abacus {
LexerTokenizer lexerTokenizer = new LexerTokenizer();
ShuntingYardParser shuntingYardParser = new ShuntingYardParser();
treeBuilder = new TreeBuilder<>(lexerTokenizer, shuntingYardParser);
promotionManager = new PromotionManager(this);
pluginManager.addListener(shuntingYardParser);
pluginManager.addListener(lexerTokenizer);
pluginManager.addListener(promotionManager);
}
/**
* Gets the promotion manager.
*
* @return the promotion manager.
*/
public PromotionManager getPromotionManager() {
return promotionManager;
}
/**
@ -120,16 +136,15 @@ public class Abacus {
}
/**
* Creates a number from a string.
* Gets the number implementation.
*
* @param numberString the string to create the number from.
* @return the resulting number.
* @return the number implementation to use for creating numbers.
*/
public NumberInterface numberFromString(String numberString) {
NumberImplementation toInstantiate =
public NumberImplementation getNumberImplementation() {
NumberImplementation selectedImplementation =
pluginManager.numberImplementationFor(configuration.getNumberImplementation());
if (toInstantiate == null) toInstantiate = DEFAULT_IMPLEMENTATION;
return toInstantiate.instanceForString(numberString);
if (selectedImplementation != null) return selectedImplementation;
return DEFAULT_IMPLEMENTATION;
}
}

9
core/src/main/java/org/nwapw/abacus/number/NaiveNumber.java
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@ -114,15 +114,6 @@ public class NaiveNumber extends NumberInterface {
return (int) value;
}
@Override
public NumberInterface promoteToInternal(Class<? extends NumberInterface> toClass) {
if (toClass == this.getClass()) return this;
else if (toClass == PreciseNumber.class) {
return new PreciseNumber(Double.toString(value));
}
return null;
}
public String toString() {
double shiftBy = Math.pow(10, 10);
return Double.toString(Math.round(value * shiftBy) / shiftBy);

23
core/src/main/java/org/nwapw/abacus/number/NumberInterface.java
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@ -236,29 +236,6 @@ public abstract class NumberInterface {
*/
public abstract int intValue();
/**
* Promotes this class to another number class.
*
* @param toClass the class to promote to.
* @return the resulting new instance.
*/
@Deprecated
protected abstract NumberInterface promoteToInternal(Class<? extends NumberInterface> toClass);
/**
* Promotes this class to another number class. Also, checks if the
* thread has been interrupted, and if so, throws
* an exception.
*
* @param toClass the class to promote to.
* @return the resulting new instance.
*/
@Deprecated
public final NumberInterface promoteTo(Class<? extends NumberInterface> toClass) {
checkInterrupted();
return promoteToInternal(toClass);
}
/**
* Returns the smallest error this instance can tolerate depending
* on its precision and value.

8
core/src/main/java/org/nwapw/abacus/number/PreciseNumber.java
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@ -152,14 +152,6 @@ public class PreciseNumber extends NumberInterface {
return new PreciseNumber(value.negate());
}
@Override
public NumberInterface promoteToInternal(Class<? extends NumberInterface> toClass) {
if (toClass == this.getClass()) {
return this;
}
return null;
}
@Override
public String toString() {
return value.round(outputContext).toString();

8
core/src/main/java/org/nwapw/abacus/parsing/LexerTokenizer.java
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@ -50,13 +50,13 @@ public class LexerTokenizer implements Tokenizer<Match<TokenType>>, PluginListen
for (String operator : manager.getAllOperators()) {
lexer.register(Pattern.sanitize(operator), TokenType.OP);
}
for (String operator : manager.getAllTreeValueOperators()){
for (String operator : manager.getAllTreeValueOperators()) {
lexer.register(Pattern.sanitize(operator), TokenType.TREE_VALUE_OP);
}
for (String function : manager.getAllFunctions()) {
lexer.register(Pattern.sanitize(function), TokenType.FUNCTION);
}
for (String function : manager.getAllTreeValueFunctions()){
for (String function : manager.getAllTreeValueFunctions()) {
lexer.register(Pattern.sanitize(function), TokenType.TREE_VALUE_FUNCTION);
}
}
@ -66,13 +66,13 @@ public class LexerTokenizer implements Tokenizer<Match<TokenType>>, PluginListen
for (String operator : manager.getAllOperators()) {
lexer.unregister(Pattern.sanitize(operator), TokenType.OP);
}
for (String operator : manager.getAllTreeValueOperators()){
for (String operator : manager.getAllTreeValueOperators()) {
lexer.unregister(Pattern.sanitize(operator), TokenType.TREE_VALUE_OP);
}
for (String function : manager.getAllFunctions()) {
lexer.unregister(Pattern.sanitize(function), TokenType.FUNCTION);
}
for (String function : manager.getAllTreeValueFunctions()){
for (String function : manager.getAllTreeValueFunctions()) {
lexer.unregister(Pattern.sanitize(function), TokenType.TREE_VALUE_FUNCTION);
}
}

6
core/src/main/java/org/nwapw/abacus/parsing/ShuntingYardParser.java
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@ -134,7 +134,7 @@ public class ShuntingYardParser implements Parser<Match<TokenType>>, PluginListe
TreeNode right = constructRecursive(matches);
TreeNode left = constructRecursive(matches);
if (left == null || right == null) return null;
if(matchType == TokenType.OP) {
if (matchType == TokenType.OP) {
return new NumberBinaryNode(operator, left, right);
} else {
return new TreeValueBinaryNode(operator, left, right);
@ -142,7 +142,7 @@ public class ShuntingYardParser implements Parser<Match<TokenType>>, PluginListe
} else {
TreeNode applyTo = constructRecursive(matches);
if (applyTo == null) return null;
if(matchType == TokenType.OP){
if (matchType == TokenType.OP) {
return new NumberUnaryNode(operator, applyTo);
} else {
return new TreeValueUnaryNode(operator, applyTo);
@ -155,7 +155,7 @@ public class ShuntingYardParser implements Parser<Match<TokenType>>, PluginListe
} else if (matchType == TokenType.FUNCTION || matchType == TokenType.TREE_VALUE_FUNCTION) {
String functionName = match.getContent();
CallNode node;
if(matchType == TokenType.FUNCTION){
if (matchType == TokenType.FUNCTION) {
node = new FunctionNode(functionName);
} else {
node = new TreeValueFunctionNode(functionName);

4
core/src/main/java/org/nwapw/abacus/plugin/NumberImplementation.java
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@ -14,7 +14,7 @@ public abstract class NumberImplementation {
/**
* The list of paths through which this implementation can be promoted.
*/
private Map<Class<? extends NumberInterface>, Function<NumberInterface, NumberInterface>> promotionPaths;
private Map<String, Function<NumberInterface, NumberInterface>> promotionPaths;
/**
* The implementation class for this implementation.
*/
@ -41,7 +41,7 @@ public abstract class NumberImplementation {
*
* @return the map of documentation paths.
*/
public final Map<Class<? extends NumberInterface>, Function<NumberInterface, NumberInterface>> getPromotionPaths() {
public final Map<String, Function<NumberInterface, NumberInterface>> getPromotionPaths() {
return promotionPaths;
}

39
core/src/main/java/org/nwapw/abacus/plugin/PluginManager.java
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@ -49,10 +49,13 @@ public class PluginManager {
*/
private Set<Documentation> registeredDocumentation;
/**
* The list of number implementations that have been
* found by their implementation class.
* The list of number implementation names.
*/
private Map<Class<? extends NumberInterface>, NumberImplementation> cachedInterfaceImplementations;
private Map<Class<? extends NumberInterface>, String> interfaceImplementationNames;
/**
* The list of number implementations.
*/
private Map<Class<? extends NumberInterface>, NumberImplementation> interfaceImplementations;
/**
* The pi values for each implementation class that have already been computer.
*/
@ -82,7 +85,8 @@ public class PluginManager {
registeredTreeValueOperators = new HashMap<>();
registeredNumberImplementations = new HashMap<>();
registeredDocumentation = new HashSet<>();
cachedInterfaceImplementations = new HashMap<>();
interfaceImplementations = new HashMap<>();
interfaceImplementationNames = new HashMap<>();
cachedPi = new HashMap<>();
listeners = new HashSet<>();
}
@ -135,6 +139,8 @@ public class PluginManager {
*/
public void registerNumberImplementation(String name, NumberImplementation implementation) {
registeredNumberImplementations.put(name, implementation);
interfaceImplementationNames.put(implementation.getImplementation(), name);
interfaceImplementations.put(implementation.getImplementation(), implementation);
}
/**
@ -226,17 +232,17 @@ public class PluginManager {
* @return the implementation.
*/
public NumberImplementation interfaceImplementationFor(Class<? extends NumberInterface> name) {
if (cachedInterfaceImplementations.containsKey(name)) return cachedInterfaceImplementations.get(name);
NumberImplementation toReturn = null;
for (String key : registeredNumberImplementations.keySet()) {
NumberImplementation implementation = registeredNumberImplementations.get(key);
if (implementation.getImplementation() == name) {
toReturn = implementation;
break;
}
}
cachedInterfaceImplementations.put(name, toReturn);
return toReturn;
return interfaceImplementations.get(name);
}
/**
* Gets the number implementation name for the given implementation class.
*
* @param name the class for which to find the implementation name.
* @return the implementation name.
*/
public String interfaceImplementationNameFor(Class<? extends NumberInterface> name) {
return interfaceImplementationNames.get(name);
}
/**
@ -329,7 +335,8 @@ public class PluginManager {
registeredTreeValueOperators.clear();
registeredNumberImplementations.clear();
registeredDocumentation.clear();
cachedInterfaceImplementations.clear();
interfaceImplementationNames.clear();
interfaceImplementations.clear();
cachedPi.clear();
listeners.forEach(e -> e.onUnload(this));
}

421
core/src/main/java/org/nwapw/abacus/plugin/StandardPlugin.java
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@ -7,7 +7,6 @@ import org.nwapw.abacus.number.PreciseNumber;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.function.BiFunction;
/**
* The plugin providing standard functions such as addition and subtraction to
@ -20,12 +19,12 @@ public class StandardPlugin extends Plugin {
*/
public static final NumberOperator OP_ADD = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 0) {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 2;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return params[0].add(params[1]);
}
};
@ -34,12 +33,12 @@ public class StandardPlugin extends Plugin {
*/
public static final NumberOperator OP_SUBTRACT = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 0) {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 2;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return params[0].subtract(params[1]);
}
@ -49,12 +48,12 @@ public class StandardPlugin extends Plugin {
*/
public static final NumberOperator OP_NEGATE = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.UNARY_PREFIX, 0) {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return params[0].negate();
}
};
@ -63,12 +62,12 @@ public class StandardPlugin extends Plugin {
*/
public static final NumberOperator OP_MULTIPLY = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 1) {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 2;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return params[0].multiply(params[1]);
}
};
@ -86,20 +85,6 @@ public class StandardPlugin extends Plugin {
return new NaiveNumber(Math.PI);
}
};
/**
* The square root function.
*/
public static final NumberFunction FUNCTION_SQRT = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
return OP_CARET.apply(params[0], ((new NaiveNumber(0.5)).promoteTo(params[0].getClass())));
}
};
/**
* The implementation for the infinite-precision BigDecimal.
*/
@ -111,7 +96,7 @@ public class StandardPlugin extends Plugin {
@Override
public NumberInterface instanceForPi() {
NumberInterface C = FUNCTION_SQRT.apply(new PreciseNumber("10005")).multiply(new PreciseNumber("426880"));
NumberInterface C = FUNCTION_SQRT.apply(this, new PreciseNumber("10005")).multiply(new PreciseNumber("426880"));
NumberInterface M = PreciseNumber.ONE;
NumberInterface L = new PreciseNumber("13591409");
NumberInterface X = M;
@ -136,21 +121,17 @@ public class StandardPlugin extends Plugin {
return C.divide(sum);
}
};
/**
* Stores objects of NumberInterface with integer values for reuse.
*/
private final static HashMap<Class<? extends NumberInterface>, HashMap<Integer, NumberInterface>> integerValues = new HashMap<>();
/**
* The division operator, /
*/
public static final NumberOperator OP_DIVIDE = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 1) {
@Override
public boolean matchesParams(NumberInterface[] params) {
return params.length == 2 && params[1].compareTo(fromInt(params[0].getClass(), 0)) != 0;
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 2 && params[1].compareTo(implementation.instanceForString(Integer.toString(0))) != 0;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return params[0].divide(params[1]);
}
};
@ -160,18 +141,18 @@ public class StandardPlugin extends Plugin {
public static final NumberOperator OP_FACTORIAL = new NumberOperator(OperatorAssociativity.RIGHT, OperatorType.UNARY_POSTFIX, 0) {
//private HashMap<Class<? extends NumberInterface>, ArrayList<NumberInterface>> storedList = new HashMap<Class<? extends NumberInterface>, ArrayList<NumberInterface>>();
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1
&& params[0].fractionalPart().compareTo(fromInt(params[0].getClass(), 0)) == 0
&& params[0].fractionalPart().compareTo(implementation.instanceForString("0")) == 0
&& params[0].signum() >= 0;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
if (params[0].signum() == 0) {
return fromInt(params[0].getClass(), 1);
return implementation.instanceForString("1");
}
NumberInterface one = fromInt(params[0].getClass(), 1);
NumberInterface one = implementation.instanceForString("1");
NumberInterface factorial = params[0];
NumberInterface multiplier = params[0];
//It is necessary to later prevent calls of factorial on anything but non-negative integers.
@ -191,27 +172,27 @@ public class StandardPlugin extends Plugin {
*/
public static final NumberOperator OP_NPR = new NumberOperator(OperatorAssociativity.RIGHT, OperatorType.BINARY_INFIX, 0) {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 2 && params[0].fractionalPart().signum() == 0
&& params[1].fractionalPart().signum() == 0;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
if (params[0].compareTo(params[1]) < 0 ||
params[0].signum() < 0 ||
(params[0].signum() == 0 && params[1].signum() != 0)) return fromInt(params[0].getClass(), 0);
NumberInterface total = fromInt(params[0].getClass(), 1);
(params[0].signum() == 0 && params[1].signum() != 0)) return implementation.instanceForString("0");
NumberInterface total = implementation.instanceForString("1");
NumberInterface multiplyBy = params[0];
NumberInterface remainingMultiplications = params[1];
NumberInterface halfway = params[0].divide(fromInt(params[0].getClass(), 2));
NumberInterface halfway = params[0].divide(implementation.instanceForString("2"));
if (remainingMultiplications.compareTo(halfway) > 0) {
remainingMultiplications = params[0].subtract(remainingMultiplications);
}
while (remainingMultiplications.signum() > 0) {
total = total.multiply(multiplyBy);
remainingMultiplications = remainingMultiplications.subtract(fromInt(params[0].getClass(), 1));
multiplyBy = multiplyBy.subtract(fromInt(params[0].getClass(), 1));
remainingMultiplications = remainingMultiplications.subtract(implementation.instanceForString("1"));
multiplyBy = multiplyBy.subtract(implementation.instanceForString("1"));
}
return total;
}
@ -221,14 +202,14 @@ public class StandardPlugin extends Plugin {
*/
public static final NumberOperator OP_NCR = new NumberOperator(OperatorAssociativity.RIGHT, OperatorType.BINARY_INFIX, 0) {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 2 && params[0].fractionalPart().signum() == 0
&& params[1].fractionalPart().signum() == 0;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
return OP_NPR.apply(params).divide(OP_FACTORIAL.apply(params[1]));
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return OP_NPR.apply(implementation, params).divide(OP_FACTORIAL.apply(implementation, params[1]));
}
};
/**
@ -236,13 +217,13 @@ public class StandardPlugin extends Plugin {
*/
public static final NumberFunction FUNCTION_ABS = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
return params[0].multiply(fromInt(params[0].getClass(), params[0].signum()));
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return params[0].multiply(implementation.instanceForString(Integer.toString(params[0].signum())));
}
};
/**
@ -250,25 +231,25 @@ public class StandardPlugin extends Plugin {
*/
public static final NumberFunction FUNCTION_LN = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
return params.length == 1 && params[0].compareTo(fromInt(params[0].getClass(), 0)) > 0;
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1 && params[0].compareTo(implementation.instanceForString("0")) > 0;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
NumberInterface param = params[0];
NumberInterface one = fromInt(param.getClass(), 1);
NumberInterface one = implementation.instanceForString("1");
int powersOf2 = 0;
while (FUNCTION_ABS.apply(param.subtract(one)).compareTo(new NaiveNumber(0.1).promoteTo(param.getClass())) >= 0) {
while (FUNCTION_ABS.apply(implementation, param.subtract(one)).compareTo(implementation.instanceForString(".1")) >= 0) {
if (param.subtract(one).signum() == 1) {
param = param.divide(fromInt(param.getClass(), 2));
param = param.divide(implementation.instanceForString("2"));
powersOf2++;
if (param.subtract(one).signum() != 1) {
break;
//No infinite loop for you.
}
} else {
param = param.multiply(fromInt(param.getClass(), 2));
param = param.multiply(implementation.instanceForString("2"));
powersOf2--;
if (param.subtract(one).signum() != -1) {
break;
@ -276,7 +257,7 @@ public class StandardPlugin extends Plugin {
}
}
}
return getLog2(param).multiply(fromInt(param.getClass(), powersOf2)).add(getLogPartialSum(param));
return getLog2(implementation, param).multiply(implementation.instanceForString(Integer.toString(powersOf2))).add(getLogPartialSum(implementation, param));
}
/**
@ -285,16 +266,16 @@ public class StandardPlugin extends Plugin {
* @param x value at which the series is evaluated. 0 < x < 2. (x=2 is convergent but impractical.)
* @return the partial sum.
*/
private NumberInterface getLogPartialSum(NumberInterface x) {
private NumberInterface getLogPartialSum(NumberImplementation implementation, NumberInterface x) {
NumberInterface maxError = x.getMaxError();
x = x.subtract(fromInt(x.getClass(), 1)); //Terms used are for log(x+1).
x = x.subtract(implementation.instanceForString("1")); //Terms used are for log(x+1).
NumberInterface currentNumerator = x, currentTerm = x, sum = x;
int n = 1;
while (FUNCTION_ABS.apply(currentTerm).compareTo(maxError) > 0) {
while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(maxError) > 0) {
n++;
currentNumerator = currentNumerator.multiply(x).negate();
currentTerm = currentNumerator.divide(fromInt(x.getClass(), n));
currentTerm = currentNumerator.divide(implementation.instanceForString(Integer.toString(n)));
sum = sum.add(currentTerm);
}
return sum;
@ -305,21 +286,21 @@ public class StandardPlugin extends Plugin {
* @param number a number of the same type as the return type. (Used for precision.)
* @return the value of log(2) with the appropriate precision.
*/
private NumberInterface getLog2(NumberInterface number) {
private NumberInterface getLog2(NumberImplementation implementation, NumberInterface number) {
NumberInterface maxError = number.getMaxError();
//NumberInterface errorBound = fromInt(number.getClass(), 1);
//NumberInterface errorBound = implementation.instanceForString("1");
//We'll use the series \sigma_{n >= 1) ((1/3^n + 1/4^n) * 1/n)
//In the following, a=1/3^n, b=1/4^n, c = 1/n.
//a is also an error bound.
NumberInterface a = fromInt(number.getClass(), 1), b = a, c = a;
NumberInterface sum = fromInt(number.getClass(), 0);
NumberInterface one = fromInt(number.getClass(), 1);
NumberInterface a = implementation.instanceForString("1"), b = a, c = a;
NumberInterface sum = implementation.instanceForString("0");
NumberInterface one = implementation.instanceForString("1");
int n = 0;
while (a.compareTo(maxError) >= 1) {
n++;
a = a.divide(fromInt(number.getClass(), 3));
b = b.divide(fromInt(number.getClass(), 4));
c = one.divide(fromInt(number.getClass(), n));
a = a.divide(implementation.instanceForString("3"));
b = b.divide(implementation.instanceForString("4"));
c = one.divide(implementation.instanceForString(Integer.toString(n)));
sum = sum.add(a.add(b).multiply(c));
}
return sum;
@ -330,44 +311,88 @@ public class StandardPlugin extends Plugin {
*/
public static final NumberFunction FUNCTION_RAND_INT = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
return fromInt(params[0].getClass(), (int) Math.round(Math.random() * params[0].floor().intValue()));
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return implementation.instanceForString(Long.toString(Math.round(Math.random() * params[0].floor().intValue())));
}
};
private static final HashMap<Class<? extends NumberInterface>, ArrayList<NumberInterface>> FACTORIAL_LISTS = new HashMap<>();
/**
* The caret / pow operator, ^
*/
public static final NumberOperator OP_CARET = new NumberOperator(OperatorAssociativity.RIGHT, OperatorType.BINARY_INFIX, 2) {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
NumberInterface zero = implementation.instanceForString("0");
return params.length == 2
&& !(params[0].compareTo(zero) == 0
&& params[1].compareTo(zero) == 0)
&& !(params[0].signum() == -1 && params[1].fractionalPart().compareTo(zero) != 0);
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
NumberInterface zero = implementation.instanceForString("0");
if (params[0].compareTo(zero) == 0)
return zero;
else if (params[1].compareTo(zero) == 0)
return implementation.instanceForString("1");
//Detect integer bases:
if (params[0].fractionalPart().compareTo(implementation.instanceForString("0")) == 0
&& FUNCTION_ABS.apply(implementation, params[1]).compareTo(implementation.instanceForString(Integer.toString(Integer.MAX_VALUE))) < 0
&& FUNCTION_ABS.apply(implementation, params[1]).compareTo(implementation.instanceForString("1")) >= 0) {
NumberInterface[] newParams = {params[0], params[1].fractionalPart()};
return params[0].intPow(params[1].floor().intValue()).multiply(applyInternal(implementation, newParams));
}
return FUNCTION_EXP.apply(implementation, FUNCTION_LN.apply(implementation, FUNCTION_ABS.apply(implementation, params[0])).multiply(params[1]));
}
};
/**
* The square root function.
*/
public static final NumberFunction FUNCTION_SQRT = new NumberFunction() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return OP_CARET.apply(implementation, params[0], implementation.instanceForString(".5"));
}
};
private static final HashMap<NumberImplementation, ArrayList<NumberInterface>> FACTORIAL_LISTS = new HashMap<>();
/**
* The exponential function, exp(1) = e^1 = 2.71...
*/
public static final NumberFunction FUNCTION_EXP = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
NumberInterface maxError = params[0].getMaxError();
int n = 0;
if (params[0].signum() < 0) {
NumberInterface[] negatedParams = {params[0].negate()};
return fromInt(params[0].getClass(), 1).divide(applyInternal(negatedParams));
return implementation.instanceForString("1").divide(applyInternal(implementation, negatedParams));
} 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 = fromInt(params[0].getClass(), 1);
NumberInterface sum = implementation.instanceForString("1");
NumberInterface nextNumerator = params[0];
NumberInterface left = params[0].multiply(fromInt(params[0].getClass(), 3).intPow(params[0].ceiling().intValue())), right = maxError;
NumberInterface left = params[0].multiply(implementation.instanceForString("3").intPow(params[0].ceiling().intValue())), right = maxError;
do {
sum = sum.add(nextNumerator.divide(factorial(params[0].getClass(), n + 1)));
sum = sum.add(nextNumerator.divide(factorial(implementation, n + 1)));
n++;
nextNumerator = nextNumerator.multiply(params[0]);
left = left.multiply(params[0]);
NumberInterface nextN = fromInt(params[0].getClass(), n + 1);
NumberInterface nextN = implementation.instanceForString(Integer.toString(n + 1));
right = right.multiply(nextN);
//System.out.println(left + ", " + right);
}
@ -377,58 +402,28 @@ public class StandardPlugin extends Plugin {
}
}
};
/**
* The caret / pow operator, ^
*/
public static final NumberOperator OP_CARET = new NumberOperator(OperatorAssociativity.RIGHT, OperatorType.BINARY_INFIX, 2) {
@Override
public boolean matchesParams(NumberInterface[] params) {
NumberInterface zero = fromInt(params[0].getClass(), 0);
return params.length == 2
&& !(params[0].compareTo(zero) == 0
&& params[1].compareTo(zero) == 0)
&& !(params[0].signum() == -1 && params[1].fractionalPart().compareTo(zero) != 0);
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
NumberInterface zero = fromInt(params[0].getClass(), 0);
if (params[0].compareTo(zero) == 0)
return zero;
else if (params[1].compareTo(zero) == 0)
return fromInt(params[0].getClass(), 1);
//Detect integer bases:
if (params[0].fractionalPart().compareTo(fromInt(params[0].getClass(), 0)) == 0
&& FUNCTION_ABS.apply(params[1]).compareTo(fromInt(params[0].getClass(), Integer.MAX_VALUE)) < 0
&& FUNCTION_ABS.apply(params[1]).compareTo(fromInt(params[1].getClass(), 1)) >= 0) {
NumberInterface[] newParams = {params[0], params[1].fractionalPart()};
return params[0].intPow(params[1].floor().intValue()).multiply(applyInternal(newParams));
}
return FUNCTION_EXP.apply(FUNCTION_LN.apply(FUNCTION_ABS.apply(params[0])).multiply(params[1]));
}
};
/**
* The sine function (the argument is interpreted in radians).
*/
public final NumberFunction functionSin = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
NumberInterface pi = piFor(params[0].getClass());
NumberInterface twoPi = pi.multiply(fromInt(pi.getClass(), 2));
NumberInterface theta = getSmallAngle(params[0], pi);
NumberInterface twoPi = pi.multiply(implementation.instanceForString("2"));
NumberInterface theta = getSmallAngle(implementation, params[0], pi);
//System.out.println(theta);
if (theta.compareTo(pi.multiply(new NaiveNumber(1.5).promoteTo(twoPi.getClass()))) >= 0) {
if (theta.compareTo(pi.multiply(implementation.instanceForString("1.5"))) >= 0) {
theta = theta.subtract(twoPi);
} else if (theta.compareTo(pi.divide(fromInt(pi.getClass(), 2))) > 0) {
} else if (theta.compareTo(pi.divide(implementation.instanceForString("2"))) > 0) {
theta = pi.subtract(theta);
}
//System.out.println(theta);
return sinTaylor(theta);
return sinTaylor(implementation, theta);
}
};
/**
@ -436,13 +431,13 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionCos = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
return functionSin.apply(piFor(params[0].getClass()).divide(fromInt(params[0].getClass(), 2))
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return functionSin.apply(implementation, piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
.subtract(params[0]));
}
};
@ -451,13 +446,13 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionTan = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
return functionSin.apply(params[0]).divide(functionCos.apply(params[0]));
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return functionSin.apply(implementation, params[0]).divide(functionCos.apply(implementation, params[0]));
}
};
/**
@ -465,13 +460,13 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionSec = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
return fromInt(params[0].getClass(), 1).divide(functionCos.apply(params[0]));
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return implementation.instanceForString("1").divide(functionCos.apply(implementation, params[0]));
}
};
/**
@ -479,13 +474,13 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionCsc = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
return fromInt(params[0].getClass(), 1).divide(functionSin.apply(params[0]));
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return implementation.instanceForString("1").divide(functionSin.apply(implementation, params[0]));
}
};
/**
@ -493,13 +488,13 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionCot = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
return functionCos.apply(params[0]).divide(functionSin.apply(params[0]));
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return functionCos.apply(implementation, params[0]).divide(functionSin.apply(implementation, params[0]));
}
};
@ -508,28 +503,28 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionArcsin = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1
&& FUNCTION_ABS.apply(params[0]).compareTo(fromInt(params[0].getClass(), 1)) <= 0;
&& FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString("1")) <= 0;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
if (FUNCTION_ABS.apply(params[0]).compareTo(new NaiveNumber(0.8).promoteTo(params[0].getClass())) >= 0) {
NumberInterface[] newParams = {FUNCTION_SQRT.apply(fromInt(params[0].getClass(), 1).subtract(params[0].multiply(params[0])))};
return piFor(params[0].getClass()).divide(fromInt(params[0].getClass(), 2))
.subtract(applyInternal(newParams)).multiply(fromInt(params[0].getClass(), params[0].signum()));
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
if (FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString(".8")) >= 0) {
NumberInterface[] newParams = {FUNCTION_SQRT.apply(implementation, implementation.instanceForString("1").subtract(params[0].multiply(params[0])))};
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
.subtract(applyInternal(implementation, newParams)).multiply(implementation.instanceForString(Integer.toString(params[0].signum())));
}
NumberInterface currentTerm = params[0], sum = currentTerm,
multiplier = currentTerm.multiply(currentTerm), summandBound = sum.getMaxError().multiply(fromInt(sum.getClass(), 1).subtract(multiplier)),
power = currentTerm, coefficient = fromInt(params[0].getClass(), 1);
multiplier = currentTerm.multiply(currentTerm), summandBound = sum.getMaxError().multiply(implementation.instanceForString("1").subtract(multiplier)),
power = currentTerm, coefficient = implementation.instanceForString("1");
int exponent = 1;
while (FUNCTION_ABS.apply(currentTerm).compareTo(summandBound) > 0) {
while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(summandBound) > 0) {
exponent += 2;
power = power.multiply(multiplier);
coefficient = coefficient.multiply(fromInt(params[0].getClass(), exponent - 2))
.divide(fromInt(params[0].getClass(), exponent - 1));
currentTerm = power.multiply(coefficient).divide(fromInt(power.getClass(), exponent));
coefficient = coefficient.multiply(implementation.instanceForString(Integer.toString(exponent - 2)))
.divide(implementation.instanceForString(Integer.toString(exponent - 1)));
currentTerm = power.multiply(coefficient).divide(implementation.instanceForString(Integer.toString(exponent)));
sum = sum.add(currentTerm);
}
return sum;
@ -541,14 +536,14 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionArccos = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
return params.length == 1 && FUNCTION_ABS.apply(params[0]).compareTo(fromInt(params[0].getClass(), 1)) <= 0;
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1 && FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString("1")) <= 0;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
return piFor(params[0].getClass()).divide(fromInt(params[0].getClass(), 2))
.subtract(functionArcsin.apply(params));
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
.subtract(functionArcsin.apply(implementation, params));
}
};
@ -557,14 +552,14 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionArccsc = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
return params.length == 1 && FUNCTION_ABS.apply(params[0]).compareTo(fromInt(params[0].getClass(), 1)) >= 0;
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1 && FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString("1")) >= 0;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
NumberInterface[] reciprocalParamArr = {fromInt(params[0].getClass(), 1).divide(params[0])};
return functionArcsin.apply(reciprocalParamArr);
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
NumberInterface[] reciprocalParamArr = {implementation.instanceForString("1").divide(params[0])};
return functionArcsin.apply(implementation, reciprocalParamArr);
}
};
@ -573,14 +568,14 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionArcsec = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
return params.length == 1 && FUNCTION_ABS.apply(params[0]).compareTo(fromInt(params[0].getClass(), 1)) >= 0;
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1 && FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString("1")) >= 0;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
NumberInterface[] reciprocalParamArr = {fromInt(params[0].getClass(), 1).divide(params[0])};
return functionArccos.apply(reciprocalParamArr);
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
NumberInterface[] reciprocalParamArr = {implementation.instanceForString("1").divide(params[0])};
return functionArccos.apply(implementation, reciprocalParamArr);
}
};
@ -589,36 +584,36 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionArctan = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
if (params[0].signum() == -1) {
NumberInterface[] negatedParams = {params[0].negate()};
return applyInternal(negatedParams).negate();
return applyInternal(implementation, negatedParams).negate();
}
if (params[0].compareTo(fromInt(params[0].getClass(), 1)) > 0) {
NumberInterface[] reciprocalParams = {fromInt(params[0].getClass(), 1).divide(params[0])};
return piFor(params[0].getClass()).divide(fromInt(params[0].getClass(), 2))
.subtract(applyInternal(reciprocalParams));
if (params[0].compareTo(implementation.instanceForString("1")) > 0) {
NumberInterface[] reciprocalParams = {implementation.instanceForString("1").divide(params[0])};
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
.subtract(applyInternal(implementation, reciprocalParams));
}
if (params[0].compareTo(fromInt(params[0].getClass(), 1)) == 0) {
return piFor(params[0].getClass()).divide(fromInt(params[0].getClass(), 4));
if (params[0].compareTo(implementation.instanceForString("1")) == 0) {
return piFor(params[0].getClass()).divide(implementation.instanceForString("4"));
}
if (params[0].compareTo(new NaiveNumber(0.9).promoteTo(params[0].getClass())) >= 0) {
NumberInterface[] newParams = {params[0].multiply(fromInt(params[0].getClass(), 2))
.divide(fromInt(params[0].getClass(), 1).subtract(params[0].multiply(params[0])))};
return applyInternal(newParams).divide(fromInt(params[0].getClass(), 2));
if (params[0].compareTo(implementation.instanceForString(".9")) >= 0) {
NumberInterface[] newParams = {params[0].multiply(implementation.instanceForString("2"))
.divide(implementation.instanceForString("1").subtract(params[0].multiply(params[0])))};
return applyInternal(implementation, newParams).divide(implementation.instanceForString("2"));
}
NumberInterface currentPower = params[0], currentTerm = currentPower, sum = currentTerm,
maxError = params[0].getMaxError(), multiplier = currentPower.multiply(currentPower).negate();
int n = 1;
while (FUNCTION_ABS.apply(currentTerm).compareTo(maxError) > 0) {
while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(maxError) > 0) {
n += 2;
currentPower = currentPower.multiply(multiplier);
currentTerm = currentPower.divide(fromInt(currentPower.getClass(), n));
currentTerm = currentPower.divide(implementation.instanceForString(Integer.toString(n)));
sum = sum.add(currentTerm);
}
return sum;
@ -630,14 +625,14 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionArccot = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
return piFor(params[0].getClass()).divide(fromInt(params[0].getClass(), 2))
.subtract(functionArctan.apply(params));
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
.subtract(functionArctan.apply(implementation, params));
}
};
@ -645,40 +640,25 @@ public class StandardPlugin extends Plugin {
super(manager);
}
/**
* Returns a partial sum of a series whose terms are given by the nthTermFunction, evaluated at x.
*
* @param x the value at which the series is evaluated.
* @param nthTermFunction the function that returns the nth term of the series, in the format term(x, n).
* @param n the number of terms in the partial sum.
* @return the value of the partial sum that has the same class as x.
*/
private static NumberInterface sumSeries(NumberInterface x, BiFunction<Integer, NumberInterface, NumberInterface> nthTermFunction, int n) {
NumberInterface sum = fromInt(x.getClass(), 0);
for (int i = 0; i <= n; i++) {
sum = sum.add(nthTermFunction.apply(i, x));
}
return sum;
}
/**
* 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.
* @param implementation 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 (!FACTORIAL_LISTS.containsKey(numberClass)) {
FACTORIAL_LISTS.put(numberClass, new ArrayList<>());
FACTORIAL_LISTS.get(numberClass).add(fromInt(numberClass, 1));
FACTORIAL_LISTS.get(numberClass).add(fromInt(numberClass, 1));
public static NumberInterface factorial(NumberImplementation implementation, int n) {
if (!FACTORIAL_LISTS.containsKey(implementation)) {
FACTORIAL_LISTS.put(implementation, new ArrayList<>());
FACTORIAL_LISTS.get(implementation).add(implementation.instanceForString("1"));
FACTORIAL_LISTS.get(implementation).add(implementation.instanceForString("1"));
}
ArrayList<NumberInterface> list = FACTORIAL_LISTS.get(numberClass);
ArrayList<NumberInterface> list = FACTORIAL_LISTS.get(implementation);
if (n >= list.size()) {
while (list.size() < n + 16) {
list.add(list.get(list.size() - 1).multiply(fromInt(numberClass, list.size())));
list.add(list.get(list.size() - 1).multiply(implementation.instanceForString(Integer.toString(list.size()))));
}
}
return list.get(n);
@ -690,16 +670,16 @@ public class StandardPlugin extends Plugin {
* @param x where the series is evaluated.
* @return the value of the series
*/
private static NumberInterface sinTaylor(NumberInterface x) {
private static NumberInterface sinTaylor(NumberImplementation implementation, NumberInterface x) {
NumberInterface power = x, multiplier = x.multiply(x).negate(), currentTerm = x, sum = x;
NumberInterface maxError = x.getMaxError();
int n = 1;
do {
n += 2;
power = power.multiply(multiplier);
currentTerm = power.divide(factorial(x.getClass(), n));
currentTerm = power.divide(factorial(implementation, n));
sum = sum.add(currentTerm);
} while (FUNCTION_ABS.apply(currentTerm).compareTo(maxError) > 0);
} while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(maxError) > 0);
return sum;
}
@ -709,33 +689,16 @@ public class StandardPlugin extends Plugin {
* @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(fromInt(pi.getClass(), 2));
NumberInterface theta = FUNCTION_ABS.apply(phi).subtract(twoPi
.multiply(FUNCTION_ABS.apply(phi).divide(twoPi).floor())); //Now theta is in [0, 2pi).
private static NumberInterface getSmallAngle(NumberImplementation implementation, NumberInterface phi, NumberInterface pi) {
NumberInterface twoPi = pi.multiply(implementation.instanceForString("2"));
NumberInterface theta = FUNCTION_ABS.apply(implementation, phi).subtract(twoPi
.multiply(FUNCTION_ABS.apply(implementation, phi).divide(twoPi).floor())); //Now theta is in [0, 2pi).
if (phi.signum() < 0) {
theta = twoPi.subtract(theta);
}
return theta;
}
/**
* Returns a number of class numType with value n.
*
* @param numType class of number to return.
* @param n value of returned number.
* @return numClass instance with value n.
*/
private static NumberInterface fromInt(Class<? extends NumberInterface> numType, int n) {
if (!integerValues.containsKey(numType)) {
integerValues.put(numType, new HashMap<>());
}
if (!integerValues.get(numType).containsKey(n)) {
integerValues.get(numType).put(n, new NaiveNumber(n).promoteTo(numType));
}
return integerValues.get(numType).get(n);
}
@Override
public void onEnable() {
registerNumberImplementation("naive", IMPLEMENTATION_NAIVE);
@ -824,6 +787,6 @@ public class StandardPlugin extends Plugin {
@Override
public void onDisable() {
FACTORIAL_LISTS.clear();
}
}

42
core/src/main/java/org/nwapw/abacus/tree/NumberReducer.java
View File

@ -1,8 +1,13 @@
package org.nwapw.abacus.tree;
import org.nwapw.abacus.Abacus;
import org.nwapw.abacus.function.*;
import org.nwapw.abacus.function.NumberFunction;
import org.nwapw.abacus.function.NumberOperator;
import org.nwapw.abacus.function.TreeValueFunction;
import org.nwapw.abacus.function.TreeValueOperator;
import org.nwapw.abacus.number.NumberInterface;
import org.nwapw.abacus.number.PromotionManager;
import org.nwapw.abacus.number.PromotionResult;
/**
* A reducer implementation that turns a tree into a single number.
@ -26,19 +31,22 @@ public class NumberReducer implements Reducer<NumberInterface> {
@Override
public NumberInterface reduceNode(TreeNode node, Object... children) {
PromotionManager manager = abacus.getPromotionManager();
if (node instanceof NumberNode) {
return abacus.numberFromString(((NumberNode) node).getNumber());
} else if(node instanceof VariableNode) {
return abacus.numberFromString("0");
return abacus.getNumberImplementation().instanceForString(((NumberNode) node).getNumber());
} else if (node instanceof VariableNode) {
return abacus.getNumberImplementation().instanceForString("0");
} else if (node instanceof NumberBinaryNode) {
NumberInterface left = (NumberInterface) children[0];
NumberInterface right = (NumberInterface) children[1];
NumberOperator operator = abacus.getPluginManager().operatorFor(((BinaryNode) node).getOperation());
return operator.apply(left, right);
PromotionResult result = manager.promote(left, right);
if (result == null) return null;
return operator.apply(result.getPromotedTo(), result.getItems());
} else if (node instanceof NumberUnaryNode) {
NumberInterface child = (NumberInterface) children[0];
NumberOperator operator = abacus.getPluginManager().operatorFor(((UnaryNode) node).getOperation());
return operator.apply(child);
return operator.apply(abacus.getPluginManager().interfaceImplementationFor(child.getClass()), child);
} else if (node instanceof FunctionNode) {
NumberInterface[] convertedChildren = new NumberInterface[children.length];
for (int i = 0; i < convertedChildren.length; i++) {
@ -46,29 +54,31 @@ public class NumberReducer implements Reducer<NumberInterface> {
}
NumberFunction function = abacus.getPluginManager().functionFor(((FunctionNode) node).getCallTo());
if (function == null) return null;
return function.apply(convertedChildren);
} else if (node instanceof TreeValueFunctionNode){
PromotionResult result = manager.promote(convertedChildren);
if (result == null) return null;
return function.apply(result.getPromotedTo(), result.getItems());
} else if (node instanceof TreeValueFunctionNode) {
CallNode callNode = (CallNode) node;
TreeNode[] realChildren = new TreeNode[callNode.getChildren().size()];
for(int i = 0; i < realChildren.length; i++){
for (int i = 0; i < realChildren.length; i++) {
realChildren[i] = callNode.getChildren().get(i);
}
TreeValueFunction function =
abacus.getPluginManager().treeValueFunctionFor(callNode.getCallTo());
if(function == null) return null;
return function.applyWithReducer(this, realChildren);
if (function == null) return null;
return function.applyWithReducer(abacus.getNumberImplementation(), this, realChildren);
} else if (node instanceof TreeValueBinaryNode) {
BinaryNode binaryNode = (BinaryNode) node;
TreeValueOperator operator = abacus.getPluginManager()
.treeValueOperatorFor(binaryNode.getOperation());
if(operator == null) return null;
return operator.applyWithReducer(this, binaryNode.getLeft(), binaryNode.getRight());
} else if(node instanceof TreeValueUnaryNode) {
if (operator == null) return null;
return operator.applyWithReducer(abacus.getNumberImplementation(), this, binaryNode.getLeft(), binaryNode.getRight());
} else if (node instanceof TreeValueUnaryNode) {
UnaryNode unaryNode = (UnaryNode) node;
TreeValueOperator operator = abacus.getPluginManager()
.treeValueOperatorFor(unaryNode.getOperation());
if(operator == null) return null;
return operator.applyWithReducer(this, unaryNode.getApplyTo());
if (operator == null) return null;
return operator.applyWithReducer(abacus.getNumberImplementation(), this, unaryNode.getApplyTo());
}
return null;
}

12
core/src/main/kotlin/org/nwapw/abacus/function/applicable/Applicable.kt
View File

@ -1,5 +1,7 @@
package org.nwapw.abacus.function.applicable
import org.nwapw.abacus.plugin.NumberImplementation
/**
* A class that can be applied to arguments.
*
@ -15,7 +17,7 @@ interface Applicable<in T : Any, out O : Any> {
* @param params the parameter array to verify for compatibility.
* @return whether the array can be used with applyInternal.
*/
fun matchesParams(params: Array<out T>): Boolean
fun matchesParams(implementation: NumberImplementation, params: Array<out T>): Boolean
/**
* Applies the applicable object to the given parameters,
@ -23,7 +25,7 @@ interface Applicable<in T : Any, out O : Any> {
* @param params the parameters to apply to.
* @return the result of the application.
*/
fun applyInternal(params: Array<out T>): O?
fun applyInternal(implementation: NumberImplementation, params: Array<out T>): O?
/**
* If the parameters can be used with this applicable, returns
@ -32,9 +34,9 @@ interface Applicable<in T : Any, out O : Any> {
* @param params the parameters to apply to.
* @return the result of the operation, or null if parameters do not match.
*/
fun apply(vararg params: T): O? {
if (!matchesParams(params)) return null
return applyInternal(params)
fun apply(implementation: NumberImplementation, vararg params: T): O? {
if (!matchesParams(implementation, params)) return null
return applyInternal(implementation, params)
}
}

11
core/src/main/kotlin/org/nwapw/abacus/function/applicable/ReducerApplicable.kt
View File

@ -1,5 +1,6 @@
package org.nwapw.abacus.function.applicable
import org.nwapw.abacus.plugin.NumberImplementation
import org.nwapw.abacus.tree.Reducer
/**
@ -18,7 +19,7 @@ interface ReducerApplicable<in T : Any, out O : Any, in R : Any> {
* given parameters.
* @param params the parameters to check.
*/
fun matchesParams(params: Array<out T>): Boolean
fun matchesParams(implementation: NumberImplementation, params: Array<out T>): Boolean
/**
* Applies this applicable to the given arguments, and reducer.
@ -26,7 +27,7 @@ interface ReducerApplicable<in T : Any, out O : Any, in R : Any> {
* @param params the arguments to apply to.
* @return the result of the application.
*/
fun applyWithReducerInternal(reducer: Reducer<R>, params: Array<out T>): O?
fun applyWithReducerInternal(implementation: NumberImplementation, reducer: Reducer<R>, params: Array<out T>): O?
/**
* Applies this applicable to the given arguments, and reducer,
@ -35,9 +36,9 @@ interface ReducerApplicable<in T : Any, out O : Any, in R : Any> {
* @param params the arguments to apply to.
* @return the result of the application, or null if the arguments are incompatible.
*/
fun applyWithReducer(reducer: Reducer<R>, vararg params: T): O? {
if (!matchesParams(params)) return null
return applyWithReducerInternal(reducer, params)
fun applyWithReducer(implementation: NumberImplementation, reducer: Reducer<R>, vararg params: T): O? {
if (!matchesParams(implementation, params)) return null
return applyWithReducerInternal(implementation, reducer, params)
}
}

16
core/src/main/kotlin/org/nwapw/abacus/number/NumberUtils.kt Normal file
View File

@ -0,0 +1,16 @@
@file:JvmName("NumberUtils")
package org.nwapw.abacus.number
typealias PromotionFunction = java.util.function.Function<NumberInterface, NumberInterface>
typealias PromotionPath = List<PromotionFunction>
typealias NumberClass = Class<NumberInterface>
/**
* Promote a number through this path. The functions in this path
* are applied in order to the number, and the final result is returned.
*
* @param from the number to start from.
*/
fun PromotionPath.promote(from: NumberInterface): NumberInterface {
return fold(from, { current, function -> function.apply(current) })
}

83
core/src/main/kotlin/org/nwapw/abacus/number/PromotionManager.kt Normal file
View File

@ -0,0 +1,83 @@
package org.nwapw.abacus.number
import org.nwapw.abacus.Abacus
import org.nwapw.abacus.plugin.NumberImplementation
import org.nwapw.abacus.plugin.PluginListener
import org.nwapw.abacus.plugin.PluginManager
import java.util.function.Function
/**
* A class that handles promotions based on priority and the
* transition paths each implementation provides.
*
* @property abacus the Abacus instance to use to access other components.
*/
class PromotionManager(val abacus: Abacus) : PluginListener {
/**
* The already computed paths
*/
val computePaths = mutableMapOf<Pair<NumberImplementation, NumberImplementation>, PromotionPath?>()
/**
* Computes a path between a starting and an ending implementation.
*
* @param from the implementation to start from.
* @param to the implementation to get to.
* @return the resulting promotion path, or null if it is not found
*/
fun computePathBetween(from: NumberImplementation, to: NumberImplementation): PromotionPath? {
val fromName = abacus.pluginManager.interfaceImplementationNameFor(from.implementation)
val toName = abacus.pluginManager.interfaceImplementationNameFor(to.implementation)
if(fromName == toName) return listOf(Function { it })
if(from.promotionPaths.containsKey(toName))
return listOf(from.promotionPaths[toName] ?: return null)
return null
}
/**
* If a path between the given implementations has already been computed, uses
* the already calculated path. Otherwise, calls [computePathBetween] to compute a new
* path.
*
* @param from the implementation to start from.
* @param to the implementation to get to.
* @return the resulting promotion path, or null if it is not found
*/
fun getPathBetween(from: NumberImplementation, to: NumberImplementation): PromotionPath? {
return computePaths.computeIfAbsent(from to to, {
computePathBetween(it.first, it.second)
})
}
/**
* Promote all the numbers in the list to the same number implementation, to ensure
* they can be used with each other. Finds the highest priority implementation
* in the list, and promotes all other numbers to it.
*
* @param numbers the numbers to promote.
* @return the resulting promotion result.
*/
fun promote(vararg numbers: NumberInterface): PromotionResult? {
val pluginManager = abacus.pluginManager
val implementations = numbers.map { pluginManager.interfaceImplementationFor(it.javaClass) }
val highestPriority = implementations.sortedBy { it.priority }.last()
return PromotionResult(items = numbers.map {
if(it.javaClass == highestPriority.implementation) it
else getPathBetween(pluginManager.interfaceImplementationFor(it.javaClass), highestPriority)
?.promote(it) ?: return null
}.toTypedArray(), promotedTo = highestPriority)
}
override fun onLoad(manager: PluginManager?) {
}
override fun onUnload(manager: PluginManager?) {
computePaths.clear()
}
}

11
core/src/main/kotlin/org/nwapw/abacus/number/PromotionResult.kt Normal file
View File

@ -0,0 +1,11 @@
package org.nwapw.abacus.number
import org.nwapw.abacus.plugin.NumberImplementation
/**
* The result of promoting an array of NumberInterfaces.
*
* @param promotedTo the implementation to which the numbers were promoted.
* @param items the items the items resulting from the promotion.
*/
data class PromotionResult(val promotedTo: NumberImplementation, val items: Array<NumberInterface>)

17
core/src/test/java/org/nwapw/abacus/tests/TokenizerTests.java
View File

@ -9,6 +9,7 @@ import org.nwapw.abacus.function.*;
import org.nwapw.abacus.lexing.pattern.Match;
import org.nwapw.abacus.number.NumberInterface;
import org.nwapw.abacus.parsing.LexerTokenizer;
import org.nwapw.abacus.plugin.NumberImplementation;
import org.nwapw.abacus.plugin.Plugin;
import org.nwapw.abacus.tree.TokenType;
@ -20,12 +21,12 @@ public class TokenizerTests {
private static LexerTokenizer lexerTokenizer = new LexerTokenizer();
private static NumberFunction subtractFunction = new NumberFunction() {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 2;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return params[0].subtract(params[1]);
}
};
@ -36,26 +37,26 @@ public class TokenizerTests {
0) {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return true;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
return subtractFunction.apply(params);
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return subtractFunction.apply(implementation, params);
}
});
registerOperator("-", new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX,
0) {
@Override
public boolean matchesParams(NumberInterface[] params) {
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return true;
}
@Override
public NumberInterface applyInternal(NumberInterface[] params) {
return subtractFunction.apply(params);
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return subtractFunction.apply(implementation, params);
}
});
registerFunction("subtract", subtractFunction);

3
fx/src/main/java/org/nwapw/abacus/fx/AbacusController.java
View File

@ -14,8 +14,7 @@ import org.nwapw.abacus.Abacus;
import org.nwapw.abacus.config.Configuration;
import org.nwapw.abacus.function.Documentation;
import org.nwapw.abacus.function.DocumentationType;
import org.nwapw.abacus.number.ComputationInterruptedException;
import org.nwapw.abacus.number.NumberInterface;
import org.nwapw.abacus.number.*;
import org.nwapw.abacus.plugin.ClassFinder;
import org.nwapw.abacus.plugin.PluginListener;
import org.nwapw.abacus.plugin.PluginManager;