Merge branch 'provider-rewrite' into sin

# Conflicts:
#	src/main/java/org/nwapw/abacus/plugin/StandardPlugin.java

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

@@ -1,12 +1,12 @@
 package org.nwapw.abacus;
 
 import org.nwapw.abacus.config.ConfigurationObject;
-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;
@@ -16,7 +16,6 @@ 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
@@ -25,10 +24,7 @@ import java.lang.reflect.InvocationTargetException;
  */
 public class Abacus {
 
-    /**
-     * The default implementation to use for the number representation.
-     */
-    public static final Class<? extends NumberInterface> DEFAULT_NUMBER = NaiveNumber.class;
+    public static final NumberImplementation DEFAULT_IMPLEMENTATION = StandardPlugin.IMPLEMENTATION_NAIVE;
     /**
      * The file used for saving and loading configuration.
      */
@@ -154,15 +150,10 @@ public class Abacus {
      * @return the resulting number.
      */
     public NumberInterface numberFromString(String numberString) {
-        Class<? extends NumberInterface> toInstantiate =
-                pluginManager.numberFor(configuration.getNumberImplementation());
-        if (toInstantiate == null) toInstantiate = DEFAULT_NUMBER;
+        NumberImplementation toInstantiate =
+                pluginManager.numberImplementationFor(configuration.getNumberImplementation());
+        if (toInstantiate == null) toInstantiate = DEFAULT_IMPLEMENTATION;
 
-        try {
-            return toInstantiate.getConstructor(String.class).newInstance(numberString);
-        } catch (InstantiationException | IllegalAccessException | NoSuchMethodException | InvocationTargetException e) {
-            e.printStackTrace();
-        }
-        return null;
+        return toInstantiate.instanceForString(numberString);
     }
 }

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

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

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

@@ -1,7 +1,6 @@
 package org.nwapw.abacus.number;
 
 import java.math.BigDecimal;
-import java.math.MathContext;
 import java.math.RoundingMode;
 
 public class PreciseNumber implements NumberInterface {
@@ -9,15 +8,15 @@ public class PreciseNumber implements NumberInterface {
     /**
      * The number one.
      */
-    static final PreciseNumber ONE = new PreciseNumber(BigDecimal.ONE);
+    public static final PreciseNumber ONE = new PreciseNumber(BigDecimal.ONE);
     /**
      * The number zero.
      */
-    static final PreciseNumber ZERO = new PreciseNumber(BigDecimal.ZERO);
+    public static final PreciseNumber ZERO = new PreciseNumber(BigDecimal.ZERO);
     /**
      * The number ten.
      */
-    static final PreciseNumber TEN = new PreciseNumber(BigDecimal.TEN);
+    public static final PreciseNumber TEN = new PreciseNumber(BigDecimal.TEN);
 
     /**
      * The value of the PreciseNumber.

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

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

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

@@ -26,13 +26,9 @@ public abstract class Plugin {
      */
     private Map<String, Operator> operators;
     /**
-     * A hash map of operators mapped to their string names.
+     * The map of the number implementations this plugin provides.
      */
-    private Map<String, Class<? extends NumberInterface>> numbers;
-    /**
-     * A hash map of constant providers for each number type.
-     */
-    private Map<Class<?>, java.util.function.Function<String, NumberInterface>> constantProviders;
+    private Map<String, NumberImplementation> numberImplementations;
     /**
      * The plugin manager in which to search for functions
      * not inside this package,
@@ -55,8 +51,7 @@ public abstract class Plugin {
         this.manager = manager;
         functions = new HashMap<>();
         operators = new HashMap<>();
-        numbers = new HashMap<>();
-        constantProviders = new HashMap<>();
+        numberImplementations = new HashMap<>();
         enabled = false;
     }
 
@@ -79,20 +74,12 @@ public abstract class Plugin {
     }
 
     /**
-     * Gets the list of all numbers provided by this plugin.
+     * Gets the list of number implementations provided by this plugin.
      *
-     * @return the list of registered numbers.
+     * @return the list of registered number implementations.
      */
-    public final Set<String> providedNumbers() {
-        return numbers.keySet();
-    }
-
-    /**
-     * Gets the list of all constant providers provided by this plugin.
-     * @return the list of constant providers.
-     */
-    public final Set<Class<?>> providedConstantProviders() {
-        return constantProviders.keySet();
+    public final Set<String> providedNumberImplementations(){
+        return numberImplementations.keySet();
     }
 
     /**
@@ -116,23 +103,13 @@ public abstract class Plugin {
     }
 
     /**
-     * Gets the class under the given name.
+     * Gets the number implementation under the given name.
      *
-     * @param numberName the name of the class.
-     * @return the class, or null if the plugin doesn't provide it.
+     * @param name the name of the number implementation to look up.
+     * @return the number implementation associated with that name, or null if the plugin doesn't provide it.
      */
-    public final Class<? extends NumberInterface> getNumber(String numberName) {
-        return numbers.get(numberName);
-    }
-
-    /**
-     * Gets the constant provider for the given class.
-     *
-     * @param pluginClass the class for which to provide constants.
-     * @return the provider, or null, if the plugin doesn't provide it.
-     */
-    public final java.util.function.Function<String, NumberInterface> getConstantProvider(Class<?> pluginClass){
-        return constantProviders.get(pluginClass);
+    public final NumberImplementation getNumberImplementation(String name){
+        return numberImplementations.get(name);
     }
 
     /**
@@ -154,8 +131,6 @@ public abstract class Plugin {
         onDisable();
         functions.clear();
         operators.clear();
-        numbers.clear();
-        constantProviders.clear();
         enabled = false;
     }
 
@@ -183,29 +158,13 @@ public abstract class Plugin {
     }
 
     /**
-     * To be used in load(). Registers a number class
-     * with the plugin internally, which makes it possible
-     * for the user to select it as an "implementation" for the
-     * number that they would like to use.
-     *
-     * @param name       the name to register it under.
-     * @param toRegister the class to register.
+     * To be used in load(). Registers a new number implementation with the plugin.
+     * This makes it accessible to the plugin manager.
+     * @param name the name of the implementation.
+     * @param implementation the actual implementation class to register.
      */
-    protected final void registerNumber(String name, Class<? extends NumberInterface> toRegister) {
-        numbers.put(name, toRegister);
-    }
-
-    /**
-     * To be used in load(). Registers a constant provider
-     * with the plugin internally, which makes it possible
-     * for the calculations to look up constants for each different
-     * number type.
-     * @param providerFor the class the provider works with.
-     * @param constantProvider the provider to register.
-     */
-    protected final void registerConstantProvider(Class<?> providerFor,
-                                                   java.util.function.Function<String, NumberInterface> constantProvider) {
-        constantProviders.put(providerFor, constantProvider);
+    protected final void registerNumberImplementation(String name, NumberImplementation implementation){
+        numberImplementations.put(name, implementation);
     }
 
     /**
@@ -233,27 +192,27 @@ public abstract class Plugin {
     }
 
     /**
-     * Searches the PluginManager for the given number implementation.
-     * This can be used by the plugins internally in order to
-     * find classes by name that they do not provide.
+     * 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 class.
+     * @param name the name for which to search.
+     * @return the resulting number implementation, or null if none was found.
      */
-    protected final Class<? extends NumberInterface> numberFor(String name) {
-        return manager.numberFor(name);
+    protected final NumberImplementation numberImplementationFor(String name){
+        return manager.numberImplementationFor(name);
     }
 
     /**
-     * Searches the PluginManager for the given constant provider.
-     * This can be used by the plugins internally in order
-     * to find constant providers for number provider they do not provide.
-     *
-     * @param forClass the class for which to get a generator for.
-     * @return the resulting generator
+     * 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 java.util.function.Function<String, NumberInterface> constantProviderFor(Class<?> forClass){
-        return manager.constantProviderFor(forClass);
+    protected final NumberInterface getPi(Class<? extends NumberInterface> forClass){
+        return manager.piFor(forClass);
     }
 
     /**

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

@@ -32,15 +32,19 @@ public class PluginManager {
      */
     private Map<String, Operator> cachedOperators;
     /**
-     * List of registered number implementations that have
+     * The list of number implementations that have
      * been cached, that is, found in a plugin and returned.
      */
-    private Map<String, Class<? extends NumberInterface>> cachedNumbers;
+    private Map<String, NumberImplementation> cachedNumberImplementations;
     /**
-     * List of registered constant providers for every
-     * number class.
+     * The list of number implementations that have been
+     * found by their implementation class.
      */
-    private Map<Class<?>, java.util.function.Function<String, NumberInterface>> cachedConstantProviders;
+    private Map<Class<? extends NumberInterface>, NumberImplementation> cachedInterfaceImplementations;
+    /**
+     * The pi values for each implementation class that have already been computer.
+     */
+    private Map<Class<? extends NumberInterface>, NumberInterface> cachedPi;
     /**
      * List of all functions loaded by the plugins.
      */
@@ -50,13 +54,9 @@ public class PluginManager {
      */
     private Set<String> allOperators;
     /**
-     * List of all numbers loaded by the plugins.
+     * List of all the number implementations loaded by the plugins.
      */
-    private Set<String> allNumbers;
-    /**
-     * List of all the constant providers loaded by the plugins.
-     */
-    private Set<Class<?>> allConstantProviders;
+    private Set<String> allNumberImplementations;
     /**
      * The list of plugin listeners attached to this instance.
      */
@@ -70,12 +70,12 @@ public class PluginManager {
         plugins = new HashSet<>();
         cachedFunctions = new HashMap<>();
         cachedOperators = new HashMap<>();
-        cachedNumbers = new HashMap<>();
-        cachedConstantProviders = new HashMap<>();
+        cachedNumberImplementations = new HashMap<>();
+        cachedInterfaceImplementations = new HashMap<>();
+        cachedPi = new HashMap<>();
         allFunctions = new HashSet<>();
         allOperators = new HashSet<>();
-        allNumbers = new HashSet<>();
-        allConstantProviders = new HashSet<>();
+        allNumberImplementations = new HashSet<>();
         listeners = new HashSet<>();
     }
 
@@ -133,22 +133,51 @@ public class PluginManager {
     }
 
     /**
-     * Gets a numer implementation under the given name.
-     *
+     * Gets the number implementation under the given name.
      * @param name the name of the implementation.
-     * @return the implementation class
+     * @return the implementation.
      */
-    public Class<? extends NumberInterface> numberFor(String name) {
-        return searchCached(plugins, cachedNumbers, Plugin::providedNumbers, Plugin::getNumber, name);
+    public NumberImplementation numberImplementationFor(String name){
+        return searchCached(plugins, cachedNumberImplementations, Plugin::providedNumberImplementations,
+                Plugin::getNumberImplementation, name);
     }
 
     /**
-     * Gets the constant provider for the given class.
-     * @param forClass the class to get the provider for.
-     * @return the provider.
+     * Gets the number implementation for the given implementation class.
+     * @param name the class for which to find the implementation.
+     * @return the implementation.
      */
-    public java.util.function.Function<String, NumberInterface> constantProviderFor(Class<?> forClass){
-        return searchCached(plugins, cachedConstantProviders, Plugin::providedConstantProviders, Plugin::getConstantProvider, forClass);
+    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;
     }
 
     /**
@@ -185,8 +214,7 @@ public class PluginManager {
         for (Plugin plugin : plugins) {
             allFunctions.addAll(plugin.providedFunctions());
             allOperators.addAll(plugin.providedOperators());
-            allNumbers.addAll(plugin.providedNumbers());
-            allConstantProviders.addAll(plugin.providedConstantProviders());
+            allNumberImplementations.addAll(plugin.providedNumberImplementations());
         }
         listeners.forEach(e -> e.onLoad(this));
     }
@@ -198,8 +226,7 @@ public class PluginManager {
         for (Plugin plugin : plugins) plugin.disable();
         allFunctions.clear();
         allOperators.clear();
-        allNumbers.clear();
-        allConstantProviders.clear();
+        allNumberImplementations.clear();
         listeners.forEach(e -> e.onUnload(this));
     }
 
@@ -230,20 +257,12 @@ public class PluginManager {
     }
 
     /**
-     * Gets all the number implementations loaded by the Plugin Manager
+     * Gets all the number implementations loaded by the Plugin Manager.
      *
-     * @return the set of all implementations that were loaded
+     * @return the set of all implementations that were loaded.
      */
-    public Set<String> getAllNumbers() {
-        return allNumbers;
-    }
-
-    /**
-     * Gets all the constant providers loaded by the Plugin Manager.
-     * @return the set of all constant providers that were loaded.
-     */
-    public Set<Class<?>> getAllConstantProviders() {
-        return allConstantProviders;
+    public Set<String> getAllNumberImplementations(){
+        return allNumberImplementations;
     }
 
     /**

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

@@ -8,7 +8,6 @@ import org.nwapw.abacus.number.NaiveNumber;
 import org.nwapw.abacus.number.NumberInterface;
 import org.nwapw.abacus.number.PreciseNumber;
 
-import java.lang.reflect.InvocationTargetException;
 import java.util.ArrayList;
 import java.util.HashMap;
 import java.util.function.BiFunction;
@@ -20,7 +19,6 @@ 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>>();
-    static HashMap<Class<? extends NumberInterface>, NumberInterface> piValues = new HashMap<Class<? extends NumberInterface>, NumberInterface>();
 
     /**
      * The addition operator, +
@@ -97,7 +95,9 @@ 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;
+            return params.length == 1
+                    && params[0].fractionalPart().compareTo(NaiveNumber.ZERO.promoteTo(params[0].getClass())) == 0
+                    && params[0].signum() >= 0;
         }
 
         @Override
@@ -285,7 +285,7 @@ public class StandardPlugin extends Plugin {
     /**
      * The sine function (the argument is interpreted in radians).
      */
-    public static final Function FUNCTION_SIN = new Function() {
+    public final Function functionSin = new Function() {
         @Override
         protected boolean matchesParams(NumberInterface[] params) {
             return params.length == 1;
@@ -295,7 +295,7 @@ public class StandardPlugin extends Plugin {
         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]);
+            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);
@@ -308,6 +308,119 @@ public class StandardPlugin extends Plugin {
         }
     };
 
+    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);
     }
@@ -340,8 +453,8 @@ public class StandardPlugin extends Plugin {
 
     @Override
     public void onEnable() {
-        registerNumber("naive", NaiveNumber.class);
-        registerNumber("precise", PreciseNumber.class);
+        registerNumberImplementation("naive", IMPLEMENTATION_NAIVE);
+        registerNumberImplementation("precise", IMPLEMENTATION_PRECISE);
 
         registerOperator("+", OP_ADD);
         registerOperator("-", OP_SUBTRACT);
@@ -354,7 +467,12 @@ public class StandardPlugin extends Plugin {
         registerFunction("exp", FUNCTION_EXP);
         registerFunction("ln", FUNCTION_LN);
         registerFunction("sqrt", FUNCTION_SQRT);
-        registerFunction("sin", FUNCTION_SIN);
+        registerFunction("sin", functionSin);
+        registerFunction("cos", functionCos);
+        registerFunction("tan", functionTan);
+        registerFunction("sec", functionSec);
+        registerFunction("csc", functionCsc);
+        registerFunction("cot", functionCot);
     }
 
     @Override
@@ -402,48 +520,13 @@ public class StandardPlugin extends Plugin {
         return sum;
     }
 
-    /**
-     * Returns an approximation of Pi, with appropriate accuracy for given number class.
-     * @param numClass type of number.
-     * @return A number of class numClass, with value approximately Pi = 3.1415...
-     */
-    public static NumberInterface getPi(Class<? extends NumberInterface> numClass){
-        if(!piValues.containsKey(numClass)){
-            //https://en.wikipedia.org/wiki/Chudnovsky_algorithm
-            NumberInterface C = FUNCTION_SQRT.apply(new NaiveNumber(10005).promoteTo(numClass)).multiply(new NaiveNumber(426880).promoteTo(numClass));
-            NumberInterface M = NaiveNumber.ONE.promoteTo(numClass);
-            NumberInterface L = new NaiveNumber(13591409).promoteTo(numClass);
-            NumberInterface X = M;
-            NumberInterface sum = L;
-            int termsNeeded = C.getMaxPrecision()/13 + 1;
-
-            NumberInterface lSummand = new NaiveNumber(545140134).promoteTo(L.getClass());
-            NumberInterface xMultiplier = new NaiveNumber(262537412).promoteTo(X.getClass())
-                    .multiply(new NaiveNumber(1000000000).promoteTo(X.getClass()))
-                    .add(new NaiveNumber(640768000).promoteTo(X.getClass()))
-                    .negate();
-            for(int i = 0; i < termsNeeded; i++){
-                M = M
-                        .multiply(new NaiveNumber(12*i+2).promoteTo(M.getClass()))
-                        .multiply(new NaiveNumber(12*i+6).promoteTo(M.getClass()))
-                        .multiply(new NaiveNumber(12*i+10).promoteTo(M.getClass()))
-                        .divide(new NaiveNumber(Math.pow(i+1,3)).promoteTo(M.getClass()));
-                L = L.add(lSummand);
-                X = X.multiply(xMultiplier);
-                sum = sum.add(M.multiply(L).divide(X));
-            }
-            piValues.put(numClass, C.divide(sum));
-        }
-        return piValues.get(numClass);
-    }
-
     /**
      * Returns an equivalent angle in the interval [0, 2pi)
      * @param phi an angle (in radians).
      * @return theta in [0, 2pi) that differs from phi by a multiple of 2pi.
      */
-    private static NumberInterface getSmallAngle(NumberInterface phi){
-        NumberInterface twoPi = getPi(phi.getClass()).multiply(new NaiveNumber("2").promoteTo(phi.getClass()));
+    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){