mirror of
https://github.com/DanilaFe/abacus
synced 2025-11-03 10:23:41 -08:00
Stop using fromInt and the promoteTo function.
This commit is contained in:
parent
2b700d3911
commit
e172108476
@ -114,15 +114,6 @@ public class NaiveNumber extends NumberInterface {
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return (int) value;
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}
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@Override
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public NumberInterface promoteToInternal(Class<? extends NumberInterface> toClass) {
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if (toClass == this.getClass()) return this;
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else if (toClass == PreciseNumber.class) {
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return new PreciseNumber(Double.toString(value));
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}
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return null;
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}
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public String toString() {
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double shiftBy = Math.pow(10, 10);
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return Double.toString(Math.round(value * shiftBy) / shiftBy);
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@ -236,29 +236,6 @@ public abstract class NumberInterface {
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*/
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public abstract int intValue();
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/**
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* Promotes this class to another number class.
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*
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* @param toClass the class to promote to.
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* @return the resulting new instance.
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*/
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@Deprecated
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protected abstract NumberInterface promoteToInternal(Class<? extends NumberInterface> toClass);
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/**
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* Promotes this class to another number class. Also, checks if the
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* thread has been interrupted, and if so, throws
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* an exception.
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*
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* @param toClass the class to promote to.
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* @return the resulting new instance.
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*/
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@Deprecated
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public final NumberInterface promoteTo(Class<? extends NumberInterface> toClass) {
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checkInterrupted();
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return promoteToInternal(toClass);
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}
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/**
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* Returns the smallest error this instance can tolerate depending
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* on its precision and value.
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@ -152,14 +152,6 @@ public class PreciseNumber extends NumberInterface {
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return new PreciseNumber(value.negate());
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}
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@Override
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public NumberInterface promoteToInternal(Class<? extends NumberInterface> toClass) {
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if (toClass == this.getClass()) {
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return this;
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}
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return null;
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}
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@Override
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public String toString() {
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return value.round(outputContext).toString();
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@ -102,7 +102,7 @@ public class StandardPlugin extends Plugin {
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@Override
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public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
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return OP_CARET.apply(implementation, params[0], ((new NaiveNumber(0.5)).promoteTo(params[0].getClass())));
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return OP_CARET.apply(implementation, params[0], implementation.instanceForString(".5"));
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}
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};
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/**
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@ -141,17 +141,13 @@ public class StandardPlugin extends Plugin {
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return C.divide(sum);
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}
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};
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/**
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* Stores objects of NumberInterface with integer values for reuse.
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*/
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private final static HashMap<Class<? extends NumberInterface>, HashMap<Integer, NumberInterface>> integerValues = new HashMap<>();
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/**
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* The division operator, /
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*/
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public static final NumberOperator OP_DIVIDE = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 1) {
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@Override
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public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
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return params.length == 2 && params[1].compareTo(fromInt(params[0].getClass(), 0)) != 0;
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return params.length == 2 && params[1].compareTo(implementation.instanceForString(Integer.toString( 0))) != 0;
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}
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@ -168,7 +164,7 @@ public class StandardPlugin extends Plugin {
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@Override
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public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
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return params.length == 1
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&& params[0].fractionalPart().compareTo(fromInt(params[0].getClass(), 0)) == 0
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&& params[0].fractionalPart().compareTo(implementation.instanceForString("0")) == 0
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&& params[0].signum() >= 0;
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}
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@ -176,9 +172,9 @@ public class StandardPlugin extends Plugin {
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@Override
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public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
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if (params[0].signum() == 0) {
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return fromInt(params[0].getClass(), 1);
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return implementation.instanceForString("1");
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}
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NumberInterface one = fromInt(params[0].getClass(), 1);
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NumberInterface one = implementation.instanceForString("1");
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NumberInterface factorial = params[0];
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NumberInterface multiplier = params[0];
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//It is necessary to later prevent calls of factorial on anything but non-negative integers.
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@ -208,18 +204,18 @@ public class StandardPlugin extends Plugin {
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public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
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if (params[0].compareTo(params[1]) < 0 ||
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params[0].signum() < 0 ||
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(params[0].signum() == 0 && params[1].signum() != 0)) return fromInt(params[0].getClass(), 0);
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NumberInterface total = fromInt(params[0].getClass(), 1);
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(params[0].signum() == 0 && params[1].signum() != 0)) return implementation.instanceForString("0");
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NumberInterface total = implementation.instanceForString("1");
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NumberInterface multiplyBy = params[0];
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NumberInterface remainingMultiplications = params[1];
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NumberInterface halfway = params[0].divide(fromInt(params[0].getClass(), 2));
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NumberInterface halfway = params[0].divide(implementation.instanceForString("2"));
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if (remainingMultiplications.compareTo(halfway) > 0) {
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remainingMultiplications = params[0].subtract(remainingMultiplications);
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}
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while (remainingMultiplications.signum() > 0) {
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total = total.multiply(multiplyBy);
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remainingMultiplications = remainingMultiplications.subtract(fromInt(params[0].getClass(), 1));
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multiplyBy = multiplyBy.subtract(fromInt(params[0].getClass(), 1));
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remainingMultiplications = remainingMultiplications.subtract(implementation.instanceForString("1"));
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multiplyBy = multiplyBy.subtract(implementation.instanceForString("1"));
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}
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return total;
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}
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@ -252,7 +248,7 @@ public class StandardPlugin extends Plugin {
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@Override
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public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
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return params[0].multiply(fromInt(params[0].getClass(), params[0].signum()));
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return params[0].multiply(implementation.instanceForString(Integer.toString(params[0].signum())));
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}
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};
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/**
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@ -261,25 +257,25 @@ public class StandardPlugin extends Plugin {
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public static final NumberFunction FUNCTION_LN = new NumberFunction() {
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@Override
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public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
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return params.length == 1 && params[0].compareTo(fromInt(params[0].getClass(), 0)) > 0;
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return params.length == 1 && params[0].compareTo(implementation.instanceForString("0")) > 0;
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}
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@Override
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public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
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NumberInterface param = params[0];
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NumberInterface one = fromInt(param.getClass(), 1);
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NumberInterface one = implementation.instanceForString("1");
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int powersOf2 = 0;
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while (FUNCTION_ABS.apply(implementation, param.subtract(one)).compareTo(new NaiveNumber(0.1).promoteTo(param.getClass())) >= 0) {
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while (FUNCTION_ABS.apply(implementation, param.subtract(one)).compareTo(implementation.instanceForString(".1")) >= 0) {
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if (param.subtract(one).signum() == 1) {
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param = param.divide(fromInt(param.getClass(), 2));
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param = param.divide(implementation.instanceForString("2"));
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powersOf2++;
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if (param.subtract(one).signum() != 1) {
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break;
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//No infinite loop for you.
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}
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} else {
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param = param.multiply(fromInt(param.getClass(), 2));
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param = param.multiply(implementation.instanceForString("2"));
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powersOf2--;
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if (param.subtract(one).signum() != -1) {
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break;
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@ -287,7 +283,7 @@ public class StandardPlugin extends Plugin {
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}
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}
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}
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return getLog2(implementation, param).multiply(fromInt(param.getClass(), powersOf2)).add(getLogPartialSum(implementation, param));
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return getLog2(implementation, param).multiply(implementation.instanceForString(Integer.toString(powersOf2))).add(getLogPartialSum(implementation, param));
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}
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/**
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@ -299,13 +295,13 @@ public class StandardPlugin extends Plugin {
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private NumberInterface getLogPartialSum(NumberImplementation implementation, NumberInterface x) {
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NumberInterface maxError = x.getMaxError();
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x = x.subtract(fromInt(x.getClass(), 1)); //Terms used are for log(x+1).
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x = x.subtract(implementation.instanceForString("1")); //Terms used are for log(x+1).
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NumberInterface currentNumerator = x, currentTerm = x, sum = x;
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int n = 1;
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while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(maxError) > 0) {
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n++;
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currentNumerator = currentNumerator.multiply(x).negate();
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currentTerm = currentNumerator.divide(fromInt(x.getClass(), n));
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currentTerm = currentNumerator.divide(implementation.instanceForString(Integer.toString(n)));
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sum = sum.add(currentTerm);
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}
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return sum;
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@ -318,19 +314,19 @@ public class StandardPlugin extends Plugin {
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*/
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private NumberInterface getLog2(NumberImplementation implementation, NumberInterface number) {
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NumberInterface maxError = number.getMaxError();
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//NumberInterface errorBound = fromInt(number.getClass(), 1);
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//NumberInterface errorBound = implementation.instanceForString("1");
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//We'll use the series \sigma_{n >= 1) ((1/3^n + 1/4^n) * 1/n)
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//In the following, a=1/3^n, b=1/4^n, c = 1/n.
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//a is also an error bound.
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NumberInterface a = fromInt(number.getClass(), 1), b = a, c = a;
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NumberInterface sum = fromInt(number.getClass(), 0);
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NumberInterface one = fromInt(number.getClass(), 1);
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NumberInterface a = implementation.instanceForString("1"), b = a, c = a;
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NumberInterface sum = implementation.instanceForString("0");
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NumberInterface one = implementation.instanceForString("1");
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int n = 0;
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while (a.compareTo(maxError) >= 1) {
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n++;
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a = a.divide(fromInt(number.getClass(), 3));
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b = b.divide(fromInt(number.getClass(), 4));
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c = one.divide(fromInt(number.getClass(), n));
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a = a.divide(implementation.instanceForString("3"));
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b = b.divide(implementation.instanceForString("4"));
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c = one.divide(implementation.instanceForString(Integer.toString(n)));
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sum = sum.add(a.add(b).multiply(c));
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}
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return sum;
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@ -348,10 +344,10 @@ public class StandardPlugin extends Plugin {
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@Override
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public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
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return fromInt(params[0].getClass(), (int) Math.round(Math.random() * params[0].floor().intValue()));
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return implementation.instanceForString(Long.toString(Math.round(Math.random() * params[0].floor().intValue())));
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}
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};
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private static final HashMap<Class<? extends NumberInterface>, ArrayList<NumberInterface>> FACTORIAL_LISTS = new HashMap<>();
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private static final HashMap<NumberImplementation, ArrayList<NumberInterface>> FACTORIAL_LISTS = new HashMap<>();
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/**
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* The exponential function, exp(1) = e^1 = 2.71...
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*/
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@ -368,19 +364,19 @@ public class StandardPlugin extends Plugin {
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int n = 0;
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if (params[0].signum() < 0) {
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NumberInterface[] negatedParams = {params[0].negate()};
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return fromInt(params[0].getClass(), 1).divide(applyInternal(implementation, negatedParams));
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return implementation.instanceForString("1").divide(applyInternal(implementation, negatedParams));
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} else {
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//We need n such that x^(n+1) * 3^ceil(x) <= maxError * (n+1)!.
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//right and left refer to lhs and rhs in the above inequality.
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NumberInterface sum = fromInt(params[0].getClass(), 1);
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NumberInterface sum = implementation.instanceForString("1");
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NumberInterface nextNumerator = params[0];
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NumberInterface left = params[0].multiply(fromInt(params[0].getClass(), 3).intPow(params[0].ceiling().intValue())), right = maxError;
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NumberInterface left = params[0].multiply(implementation.instanceForString("3").intPow(params[0].ceiling().intValue())), right = maxError;
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do {
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sum = sum.add(nextNumerator.divide(factorial(params[0].getClass(), n + 1)));
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sum = sum.add(nextNumerator.divide(factorial(implementation, n + 1)));
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n++;
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nextNumerator = nextNumerator.multiply(params[0]);
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left = left.multiply(params[0]);
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NumberInterface nextN = fromInt(params[0].getClass(), n + 1);
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NumberInterface nextN = implementation.instanceForString(Integer.toString(n + 1));
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right = right.multiply(nextN);
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//System.out.println(left + ", " + right);
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}
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@ -396,7 +392,7 @@ public class StandardPlugin extends Plugin {
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public static final NumberOperator OP_CARET = new NumberOperator(OperatorAssociativity.RIGHT, OperatorType.BINARY_INFIX, 2) {
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@Override
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public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
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NumberInterface zero = fromInt(params[0].getClass(), 0);
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NumberInterface zero = implementation.instanceForString("0");
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return params.length == 2
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&& !(params[0].compareTo(zero) == 0
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&& params[1].compareTo(zero) == 0)
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@ -406,15 +402,15 @@ public class StandardPlugin extends Plugin {
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@Override
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public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
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NumberInterface zero = fromInt(params[0].getClass(), 0);
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NumberInterface zero = implementation.instanceForString("0");
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if (params[0].compareTo(zero) == 0)
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return zero;
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else if (params[1].compareTo(zero) == 0)
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return fromInt(params[0].getClass(), 1);
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return implementation.instanceForString("1");
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//Detect integer bases:
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if (params[0].fractionalPart().compareTo(fromInt(params[0].getClass(), 0)) == 0
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&& FUNCTION_ABS.apply(implementation, params[1]).compareTo(fromInt(params[0].getClass(), Integer.MAX_VALUE)) < 0
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&& FUNCTION_ABS.apply(implementation, params[1]).compareTo(fromInt(params[1].getClass(), 1)) >= 0) {
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if (params[0].fractionalPart().compareTo(implementation.instanceForString("0")) == 0
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&& FUNCTION_ABS.apply(implementation, params[1]).compareTo(implementation.instanceForString(Integer.toString(Integer.MAX_VALUE))) < 0
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&& FUNCTION_ABS.apply(implementation, params[1]).compareTo(implementation.instanceForString("1")) >= 0) {
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NumberInterface[] newParams = {params[0], params[1].fractionalPart()};
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return params[0].intPow(params[1].floor().intValue()).multiply(applyInternal(implementation, newParams));
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}
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@ -434,12 +430,12 @@ public class StandardPlugin extends Plugin {
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@Override
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public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
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NumberInterface pi = piFor(params[0].getClass());
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NumberInterface twoPi = pi.multiply(fromInt(pi.getClass(), 2));
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NumberInterface twoPi = pi.multiply(implementation.instanceForString("2"));
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NumberInterface theta = getSmallAngle(implementation, params[0], pi);
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//System.out.println(theta);
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if (theta.compareTo(pi.multiply(new NaiveNumber(1.5).promoteTo(twoPi.getClass()))) >= 0) {
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if (theta.compareTo(pi.multiply(implementation.instanceForString("1.5"))) >= 0) {
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theta = theta.subtract(twoPi);
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} else if (theta.compareTo(pi.divide(fromInt(pi.getClass(), 2))) > 0) {
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} else if (theta.compareTo(pi.divide(implementation.instanceForString("2"))) > 0) {
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theta = pi.subtract(theta);
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}
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//System.out.println(theta);
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@ -458,7 +454,7 @@ public class StandardPlugin extends Plugin {
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@Override
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public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
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return functionSin.apply(implementation, piFor(params[0].getClass()).divide(fromInt(params[0].getClass(), 2))
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return functionSin.apply(implementation, piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
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.subtract(params[0]));
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}
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};
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@ -489,7 +485,7 @@ public class StandardPlugin extends Plugin {
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@Override
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public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
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return fromInt(params[0].getClass(), 1).divide(functionCos.apply(implementation, params[0]));
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return implementation.instanceForString("1").divide(functionCos.apply(implementation, params[0]));
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}
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};
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/**
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@ -504,7 +500,7 @@ public class StandardPlugin extends Plugin {
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@Override
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public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
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return fromInt(params[0].getClass(), 1).divide(functionSin.apply(implementation, params[0]));
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return implementation.instanceForString("1").divide(functionSin.apply(implementation, params[0]));
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}
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};
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/**
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@ -530,27 +526,27 @@ public class StandardPlugin extends Plugin {
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@Override
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public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
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return params.length == 1
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&& FUNCTION_ABS.apply(implementation, params[0]).compareTo(fromInt(params[0].getClass(), 1)) <= 0;
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&& FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString("1")) <= 0;
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}
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@Override
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public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
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if (FUNCTION_ABS.apply(implementation, params[0]).compareTo(new NaiveNumber(0.8).promoteTo(params[0].getClass())) >= 0) {
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NumberInterface[] newParams = {FUNCTION_SQRT.apply(implementation, fromInt(params[0].getClass(), 1).subtract(params[0].multiply(params[0])))};
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return piFor(params[0].getClass()).divide(fromInt(params[0].getClass(), 2))
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.subtract(applyInternal(implementation, newParams)).multiply(fromInt(params[0].getClass(), params[0].signum()));
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if (FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString(".8")) >= 0) {
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NumberInterface[] newParams = {FUNCTION_SQRT.apply(implementation, implementation.instanceForString("1").subtract(params[0].multiply(params[0])))};
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return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
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.subtract(applyInternal(implementation, newParams)).multiply(implementation.instanceForString(Integer.toString(params[0].signum())));
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}
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NumberInterface currentTerm = params[0], sum = currentTerm,
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multiplier = currentTerm.multiply(currentTerm), summandBound = sum.getMaxError().multiply(fromInt(sum.getClass(), 1).subtract(multiplier)),
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power = currentTerm, coefficient = fromInt(params[0].getClass(), 1);
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multiplier = currentTerm.multiply(currentTerm), summandBound = sum.getMaxError().multiply(implementation.instanceForString("1").subtract(multiplier)),
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power = currentTerm, coefficient = implementation.instanceForString("1");
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int exponent = 1;
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while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(summandBound) > 0) {
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exponent += 2;
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power = power.multiply(multiplier);
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coefficient = coefficient.multiply(fromInt(params[0].getClass(), exponent - 2))
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.divide(fromInt(params[0].getClass(), exponent - 1));
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currentTerm = power.multiply(coefficient).divide(fromInt(power.getClass(), exponent));
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coefficient = coefficient.multiply(implementation.instanceForString(Integer.toString( exponent - 2)))
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.divide(implementation.instanceForString(Integer.toString( exponent - 1)));
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currentTerm = power.multiply(coefficient).divide(implementation.instanceForString(Integer.toString( exponent)));
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sum = sum.add(currentTerm);
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}
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return sum;
|
||||
@ -563,13 +559,13 @@ public class StandardPlugin extends Plugin {
|
||||
public final NumberFunction functionArccos = new NumberFunction() {
|
||||
@Override
|
||||
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
||||
return params.length == 1 && FUNCTION_ABS.apply(implementation, params[0]).compareTo(fromInt(params[0].getClass(), 1)) <= 0;
|
||||
return params.length == 1 && FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString("1")) <= 0;
|
||||
}
|
||||
|
||||
|
||||
@Override
|
||||
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
||||
return piFor(params[0].getClass()).divide(fromInt(params[0].getClass(), 2))
|
||||
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
|
||||
.subtract(functionArcsin.apply(implementation, params));
|
||||
}
|
||||
};
|
||||
@ -580,13 +576,13 @@ public class StandardPlugin extends Plugin {
|
||||
public final NumberFunction functionArccsc = new NumberFunction() {
|
||||
@Override
|
||||
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
||||
return params.length == 1 && FUNCTION_ABS.apply(implementation, params[0]).compareTo(fromInt(params[0].getClass(), 1)) >= 0;
|
||||
return params.length == 1 && FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString("1")) >= 0;
|
||||
}
|
||||
|
||||
|
||||
@Override
|
||||
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
||||
NumberInterface[] reciprocalParamArr = {fromInt(params[0].getClass(), 1).divide(params[0])};
|
||||
NumberInterface[] reciprocalParamArr = {implementation.instanceForString("1").divide(params[0])};
|
||||
return functionArcsin.apply(implementation, reciprocalParamArr);
|
||||
}
|
||||
};
|
||||
@ -597,13 +593,13 @@ public class StandardPlugin extends Plugin {
|
||||
public final NumberFunction functionArcsec = new NumberFunction() {
|
||||
@Override
|
||||
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
||||
return params.length == 1 && FUNCTION_ABS.apply(implementation, params[0]).compareTo(fromInt(params[0].getClass(), 1)) >= 0;
|
||||
return params.length == 1 && FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString("1")) >= 0;
|
||||
}
|
||||
|
||||
|
||||
@Override
|
||||
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
||||
NumberInterface[] reciprocalParamArr = {fromInt(params[0].getClass(), 1).divide(params[0])};
|
||||
NumberInterface[] reciprocalParamArr = {implementation.instanceForString("1").divide(params[0])};
|
||||
return functionArccos.apply(implementation, reciprocalParamArr);
|
||||
}
|
||||
};
|
||||
@ -624,18 +620,18 @@ public class StandardPlugin extends Plugin {
|
||||
NumberInterface[] negatedParams = {params[0].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))
|
||||
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(implementation, 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();
|
||||
@ -643,7 +639,7 @@ public class StandardPlugin extends Plugin {
|
||||
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;
|
||||
@ -661,7 +657,7 @@ public class StandardPlugin extends Plugin {
|
||||
|
||||
@Override
|
||||
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
||||
return piFor(params[0].getClass()).divide(fromInt(params[0].getClass(), 2))
|
||||
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
|
||||
.subtract(functionArctan.apply(implementation, params));
|
||||
}
|
||||
};
|
||||
@ -670,40 +666,25 @@ 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 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);
|
||||
@ -722,7 +703,7 @@ public class StandardPlugin extends Plugin {
|
||||
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(implementation, currentTerm).compareTo(maxError) > 0);
|
||||
return sum;
|
||||
@ -735,7 +716,7 @@ public class StandardPlugin extends Plugin {
|
||||
* @return theta in [0, 2pi) that differs from phi by a multiple of 2pi.
|
||||
*/
|
||||
private static NumberInterface getSmallAngle(NumberImplementation implementation, NumberInterface phi, NumberInterface pi) {
|
||||
NumberInterface twoPi = pi.multiply(fromInt(pi.getClass(), 2));
|
||||
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) {
|
||||
@ -744,23 +725,6 @@ public class StandardPlugin extends Plugin {
|
||||
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);
|
||||
@ -849,6 +813,6 @@ public class StandardPlugin extends Plugin {
|
||||
|
||||
@Override
|
||||
public void onDisable() {
|
||||
|
||||
FACTORIAL_LISTS.clear();
|
||||
}
|
||||
}
|
||||
|
||||
Loading…
Reference in New Issue
Block a user