|
|
@ -1,7 +1,6 @@
|
|
|
|
package org.nwapw.abacus.plugin;
|
|
|
|
package org.nwapw.abacus.plugin;
|
|
|
|
|
|
|
|
|
|
|
|
import org.jetbrains.annotations.NotNull;
|
|
|
|
import org.nwapw.abacus.context.MutableReductionContext;
|
|
|
|
import org.jetbrains.annotations.Nullable;
|
|
|
|
|
|
|
|
import org.nwapw.abacus.function.*;
|
|
|
|
import org.nwapw.abacus.function.*;
|
|
|
|
import org.nwapw.abacus.number.NaiveNumber;
|
|
|
|
import org.nwapw.abacus.number.NaiveNumber;
|
|
|
|
import org.nwapw.abacus.number.NumberInterface;
|
|
|
|
import org.nwapw.abacus.number.NumberInterface;
|
|
|
@ -24,15 +23,16 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final TreeValueOperator opSet = new TreeValueOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 0) {
|
|
|
|
public final TreeValueOperator opSet = new TreeValueOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 0) {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, TreeNode[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, TreeNode[] params) {
|
|
|
|
return params.length == 2 && params[0] instanceof VariableNode;
|
|
|
|
return params.length == 2 && params[0] instanceof VariableNode;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyWithReducerInternal(NumberImplementation implementation, Reducer<? extends NumberInterface> reducer, TreeNode[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, TreeNode[] params) {
|
|
|
|
String assignTo = ((VariableNode) params[0]).getVariable();
|
|
|
|
String assignTo = ((VariableNode) params[0]).getVariable();
|
|
|
|
NumberInterface value = params[1].reduce(reducer);
|
|
|
|
NumberInterface value = params[1].reduce(context.getReducer());
|
|
|
|
getVariableDatabase().getVariables().put(assignTo, value);
|
|
|
|
if(value == null) throw new EvaluationException();
|
|
|
|
|
|
|
|
context.setVariable(assignTo, value);
|
|
|
|
return value;
|
|
|
|
return value;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
@ -41,16 +41,17 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final TreeValueOperator opDefine = new TreeValueOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 0) {
|
|
|
|
public final TreeValueOperator opDefine = new TreeValueOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 0) {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, TreeNode[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, TreeNode[] params) {
|
|
|
|
return params.length == 2 && params[0] instanceof VariableNode;
|
|
|
|
return params.length == 2 && params[0] instanceof VariableNode;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Nullable
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyWithReducerInternal(NumberImplementation implementation, Reducer<? extends NumberInterface> reducer, TreeNode[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, TreeNode[] params) {
|
|
|
|
String assignTo = ((VariableNode) params[0]).getVariable();
|
|
|
|
String assignTo = ((VariableNode) params[0]).getVariable();
|
|
|
|
getVariableDatabase().getDefinitions().put(assignTo, params[1]);
|
|
|
|
context.setDefinition(assignTo, params[1]);
|
|
|
|
return params[1].reduce(reducer);
|
|
|
|
NumberInterface value = params[1].reduce(context.getReducer());
|
|
|
|
|
|
|
|
if(value == null) throw new EvaluationException();
|
|
|
|
|
|
|
|
return value;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
/**
|
|
|
|
/**
|
|
|
@ -58,12 +59,12 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public static final NumberOperator OP_ADD = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 0) {
|
|
|
|
public static final NumberOperator OP_ADD = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 0) {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 2;
|
|
|
|
return params.length == 2;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params[0].add(params[1]);
|
|
|
|
return params[0].add(params[1]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
@ -72,12 +73,12 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public static final NumberOperator OP_SUBTRACT = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 0) {
|
|
|
|
public static final NumberOperator OP_SUBTRACT = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 0) {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 2;
|
|
|
|
return params.length == 2;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params[0].subtract(params[1]);
|
|
|
|
return params[0].subtract(params[1]);
|
|
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
|
|
@ -87,12 +88,12 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public static final NumberOperator OP_NEGATE = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.UNARY_PREFIX, 0) {
|
|
|
|
public static final NumberOperator OP_NEGATE = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.UNARY_PREFIX, 0) {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1;
|
|
|
|
return params.length == 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params[0].negate();
|
|
|
|
return params[0].negate();
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
@ -101,12 +102,12 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public static final NumberOperator OP_MULTIPLY = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 1) {
|
|
|
|
public static final NumberOperator OP_MULTIPLY = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 1) {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 2;
|
|
|
|
return params.length == 2;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params[0].multiply(params[1]);
|
|
|
|
return params[0].multiply(params[1]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
@ -135,7 +136,8 @@ public class StandardPlugin extends Plugin {
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface instanceForPi() {
|
|
|
|
public NumberInterface instanceForPi() {
|
|
|
|
NumberInterface C = FUNCTION_SQRT.apply(this, new PreciseNumber("10005")).multiply(new PreciseNumber("426880"));
|
|
|
|
MutableReductionContext dummyContext = new MutableReductionContext(null, this, null);
|
|
|
|
|
|
|
|
NumberInterface C = FUNCTION_SQRT.apply(dummyContext, new PreciseNumber("10005")).multiply(new PreciseNumber("426880"));
|
|
|
|
NumberInterface M = PreciseNumber.ONE;
|
|
|
|
NumberInterface M = PreciseNumber.ONE;
|
|
|
|
NumberInterface L = new PreciseNumber("13591409");
|
|
|
|
NumberInterface L = new PreciseNumber("13591409");
|
|
|
|
NumberInterface X = M;
|
|
|
|
NumberInterface X = M;
|
|
|
@ -165,12 +167,12 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public static final NumberOperator OP_DIVIDE = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 1) {
|
|
|
|
public static final NumberOperator OP_DIVIDE = new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 1) {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 2 && params[1].compareTo(implementation.instanceForString(Integer.toString(0))) != 0;
|
|
|
|
return params.length == 2 && params[1].compareTo(context.getInheritedNumberImplementation().instanceForString(Integer.toString(0))) != 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params[0].divide(params[1]);
|
|
|
|
return params[0].divide(params[1]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
@ -180,14 +182,15 @@ public class StandardPlugin extends Plugin {
|
|
|
|
public static final NumberOperator OP_FACTORIAL = new NumberOperator(OperatorAssociativity.RIGHT, OperatorType.UNARY_POSTFIX, 0) {
|
|
|
|
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>>();
|
|
|
|
//private HashMap<Class<? extends NumberInterface>, ArrayList<NumberInterface>> storedList = new HashMap<Class<? extends NumberInterface>, ArrayList<NumberInterface>>();
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1
|
|
|
|
return params.length == 1
|
|
|
|
&& params[0].fractionalPart().compareTo(implementation.instanceForString("0")) == 0
|
|
|
|
&& params[0].fractionalPart().compareTo(context.getInheritedNumberImplementation().instanceForString("0")) == 0
|
|
|
|
&& params[0].signum() >= 0;
|
|
|
|
&& params[0].signum() >= 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
|
|
|
|
NumberImplementation implementation = context.getInheritedNumberImplementation();
|
|
|
|
if (params[0].signum() == 0) {
|
|
|
|
if (params[0].signum() == 0) {
|
|
|
|
return implementation.instanceForString("1");
|
|
|
|
return implementation.instanceForString("1");
|
|
|
|
}
|
|
|
|
}
|
|
|
@ -211,13 +214,14 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public static final NumberOperator OP_NPR = new NumberOperator(OperatorAssociativity.RIGHT, OperatorType.BINARY_INFIX, 0) {
|
|
|
|
public static final NumberOperator OP_NPR = new NumberOperator(OperatorAssociativity.RIGHT, OperatorType.BINARY_INFIX, 0) {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 2 && params[0].fractionalPart().signum() == 0
|
|
|
|
return params.length == 2 && params[0].fractionalPart().signum() == 0
|
|
|
|
&& params[1].fractionalPart().signum() == 0;
|
|
|
|
&& params[1].fractionalPart().signum() == 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
|
|
|
|
NumberImplementation implementation = context.getInheritedNumberImplementation();
|
|
|
|
if (params[0].compareTo(params[1]) < 0 ||
|
|
|
|
if (params[0].compareTo(params[1]) < 0 ||
|
|
|
|
params[0].signum() < 0 ||
|
|
|
|
params[0].signum() < 0 ||
|
|
|
|
(params[0].signum() == 0 && params[1].signum() != 0)) return implementation.instanceForString("0");
|
|
|
|
(params[0].signum() == 0 && params[1].signum() != 0)) return implementation.instanceForString("0");
|
|
|
@ -241,14 +245,14 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public static final NumberOperator OP_NCR = new NumberOperator(OperatorAssociativity.RIGHT, OperatorType.BINARY_INFIX, 0) {
|
|
|
|
public static final NumberOperator OP_NCR = new NumberOperator(OperatorAssociativity.RIGHT, OperatorType.BINARY_INFIX, 0) {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 2 && params[0].fractionalPart().signum() == 0
|
|
|
|
return params.length == 2 && params[0].fractionalPart().signum() == 0
|
|
|
|
&& params[1].fractionalPart().signum() == 0;
|
|
|
|
&& params[1].fractionalPart().signum() == 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return OP_NPR.apply(implementation, params).divide(OP_FACTORIAL.apply(implementation, params[1]));
|
|
|
|
return OP_NPR.apply(context, params).divide(OP_FACTORIAL.apply(context, params[1]));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
/**
|
|
|
|
/**
|
|
|
@ -256,13 +260,13 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public static final NumberFunction FUNCTION_ABS = new NumberFunction() {
|
|
|
|
public static final NumberFunction FUNCTION_ABS = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1;
|
|
|
|
return params.length == 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params[0].multiply(implementation.instanceForString(Integer.toString(params[0].signum())));
|
|
|
|
return params[0].multiply(context.getInheritedNumberImplementation().instanceForString(Integer.toString(params[0].signum())));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
/**
|
|
|
|
/**
|
|
|
@ -270,16 +274,17 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public static final NumberFunction FUNCTION_LN = new NumberFunction() {
|
|
|
|
public static final NumberFunction FUNCTION_LN = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1 && params[0].compareTo(implementation.instanceForString("0")) > 0;
|
|
|
|
return params.length == 1 && params[0].compareTo(context.getInheritedNumberImplementation().instanceForString("0")) > 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
|
|
|
|
NumberImplementation implementation = context.getInheritedNumberImplementation();
|
|
|
|
NumberInterface param = params[0];
|
|
|
|
NumberInterface param = params[0];
|
|
|
|
NumberInterface one = implementation.instanceForString("1");
|
|
|
|
NumberInterface one = implementation.instanceForString("1");
|
|
|
|
int powersOf2 = 0;
|
|
|
|
int powersOf2 = 0;
|
|
|
|
while (FUNCTION_ABS.apply(implementation, param.subtract(one)).compareTo(implementation.instanceForString(".1")) >= 0) {
|
|
|
|
while (FUNCTION_ABS.apply(context, param.subtract(one)).compareTo(implementation.instanceForString(".1")) >= 0) {
|
|
|
|
if (param.subtract(one).signum() == 1) {
|
|
|
|
if (param.subtract(one).signum() == 1) {
|
|
|
|
param = param.divide(implementation.instanceForString("2"));
|
|
|
|
param = param.divide(implementation.instanceForString("2"));
|
|
|
|
powersOf2++;
|
|
|
|
powersOf2++;
|
|
|
@ -296,7 +301,7 @@ public class StandardPlugin extends Plugin {
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return getLog2(implementation, param).multiply(implementation.instanceForString(Integer.toString(powersOf2))).add(getLogPartialSum(implementation, param));
|
|
|
|
return getLog2(context.getInheritedNumberImplementation(), param).multiply(implementation.instanceForString(Integer.toString(powersOf2))).add(getLogPartialSum(context, param));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/**
|
|
|
|
/**
|
|
|
@ -305,13 +310,13 @@ public class StandardPlugin extends Plugin {
|
|
|
|
* @param x value at which the series is evaluated. 0 < x < 2. (x=2 is convergent but impractical.)
|
|
|
|
* @param x value at which the series is evaluated. 0 < x < 2. (x=2 is convergent but impractical.)
|
|
|
|
* @return the partial sum.
|
|
|
|
* @return the partial sum.
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
private NumberInterface getLogPartialSum(NumberImplementation implementation, NumberInterface x) {
|
|
|
|
private NumberInterface getLogPartialSum(MutableReductionContext context, NumberInterface x) {
|
|
|
|
|
|
|
|
NumberImplementation implementation = context.getInheritedNumberImplementation();
|
|
|
|
NumberInterface maxError = x.getMaxError();
|
|
|
|
NumberInterface maxError = x.getMaxError();
|
|
|
|
x = x.subtract(implementation.instanceForString("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;
|
|
|
|
NumberInterface currentNumerator = x, currentTerm = x, sum = x;
|
|
|
|
int n = 1;
|
|
|
|
int n = 1;
|
|
|
|
while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(maxError) > 0) {
|
|
|
|
while (FUNCTION_ABS.apply(context, currentTerm).compareTo(maxError) > 0) {
|
|
|
|
n++;
|
|
|
|
n++;
|
|
|
|
currentNumerator = currentNumerator.multiply(x).negate();
|
|
|
|
currentNumerator = currentNumerator.multiply(x).negate();
|
|
|
|
currentTerm = currentNumerator.divide(implementation.instanceForString(Integer.toString(n)));
|
|
|
|
currentTerm = currentNumerator.divide(implementation.instanceForString(Integer.toString(n)));
|
|
|
@ -350,13 +355,13 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public static final NumberFunction FUNCTION_RAND_INT = new NumberFunction() {
|
|
|
|
public static final NumberFunction FUNCTION_RAND_INT = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1;
|
|
|
|
return params.length == 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return implementation.instanceForString(Long.toString(Math.round(Math.random() * params[0].floor().intValue())));
|
|
|
|
return context.getInheritedNumberImplementation().instanceForString(Long.toString(Math.round(Math.random() * params[0].floor().intValue())));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
/**
|
|
|
|
/**
|
|
|
@ -364,8 +369,8 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public static final NumberOperator OP_CARET = new NumberOperator(OperatorAssociativity.RIGHT, OperatorType.BINARY_INFIX, 2) {
|
|
|
|
public static final NumberOperator OP_CARET = new NumberOperator(OperatorAssociativity.RIGHT, OperatorType.BINARY_INFIX, 2) {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
NumberInterface zero = implementation.instanceForString("0");
|
|
|
|
NumberInterface zero = context.getInheritedNumberImplementation().instanceForString("0");
|
|
|
|
return params.length == 2
|
|
|
|
return params.length == 2
|
|
|
|
&& !(params[0].compareTo(zero) == 0
|
|
|
|
&& !(params[0].compareTo(zero) == 0
|
|
|
|
&& params[1].compareTo(zero) == 0)
|
|
|
|
&& params[1].compareTo(zero) == 0)
|
|
|
@ -373,7 +378,8 @@ public class StandardPlugin extends Plugin {
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
|
|
|
|
NumberImplementation implementation = context.getInheritedNumberImplementation();
|
|
|
|
NumberInterface zero = implementation.instanceForString("0");
|
|
|
|
NumberInterface zero = implementation.instanceForString("0");
|
|
|
|
if (params[0].compareTo(zero) == 0)
|
|
|
|
if (params[0].compareTo(zero) == 0)
|
|
|
|
return zero;
|
|
|
|
return zero;
|
|
|
@ -381,12 +387,12 @@ public class StandardPlugin extends Plugin {
|
|
|
|
return implementation.instanceForString("1");
|
|
|
|
return implementation.instanceForString("1");
|
|
|
|
//Detect integer bases:
|
|
|
|
//Detect integer bases:
|
|
|
|
if (params[0].fractionalPart().compareTo(implementation.instanceForString("0")) == 0
|
|
|
|
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(context, params[1]).compareTo(implementation.instanceForString(Integer.toString(Integer.MAX_VALUE))) < 0
|
|
|
|
&& FUNCTION_ABS.apply(implementation, params[1]).compareTo(implementation.instanceForString("1")) >= 0) {
|
|
|
|
&& FUNCTION_ABS.apply(context, params[1]).compareTo(implementation.instanceForString("1")) >= 0) {
|
|
|
|
NumberInterface[] newParams = {params[0], params[1].fractionalPart()};
|
|
|
|
NumberInterface[] newParams = {params[0], params[1].fractionalPart()};
|
|
|
|
return params[0].intPow(params[1].floor().intValue()).multiply(applyInternal(implementation, newParams));
|
|
|
|
return params[0].intPow(params[1].floor().intValue()).multiply(applyInternal(context, newParams));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return FUNCTION_EXP.apply(implementation, FUNCTION_LN.apply(implementation, FUNCTION_ABS.apply(implementation, params[0])).multiply(params[1]));
|
|
|
|
return FUNCTION_EXP.apply(context, FUNCTION_LN.apply(context, FUNCTION_ABS.apply(context, params[0])).multiply(params[1]));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
/**
|
|
|
|
/**
|
|
|
@ -394,13 +400,13 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public static final NumberFunction FUNCTION_SQRT = new NumberFunction() {
|
|
|
|
public static final NumberFunction FUNCTION_SQRT = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1;
|
|
|
|
return params.length == 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return OP_CARET.apply(implementation, params[0], implementation.instanceForString(".5"));
|
|
|
|
return OP_CARET.apply(context, params[0], context.getInheritedNumberImplementation().instanceForString(".5"));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
private static final HashMap<NumberImplementation, ArrayList<NumberInterface>> FACTORIAL_LISTS = new HashMap<>();
|
|
|
|
private static final HashMap<NumberImplementation, ArrayList<NumberInterface>> FACTORIAL_LISTS = new HashMap<>();
|
|
|
@ -409,17 +415,18 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public static final NumberFunction FUNCTION_EXP = new NumberFunction() {
|
|
|
|
public static final NumberFunction FUNCTION_EXP = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1;
|
|
|
|
return params.length == 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
|
|
|
|
NumberImplementation implementation = context.getInheritedNumberImplementation();
|
|
|
|
NumberInterface maxError = params[0].getMaxError();
|
|
|
|
NumberInterface maxError = params[0].getMaxError();
|
|
|
|
int n = 0;
|
|
|
|
int n = 0;
|
|
|
|
if (params[0].signum() < 0) {
|
|
|
|
if (params[0].signum() < 0) {
|
|
|
|
NumberInterface[] negatedParams = {params[0].negate()};
|
|
|
|
NumberInterface[] negatedParams = {params[0].negate()};
|
|
|
|
return implementation.instanceForString("1").divide(applyInternal(implementation, negatedParams));
|
|
|
|
return implementation.instanceForString("1").divide(applyInternal(context, negatedParams));
|
|
|
|
} else {
|
|
|
|
} else {
|
|
|
|
//We need n such that x^(n+1) * 3^ceil(x) <= maxError * (n+1)!.
|
|
|
|
//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.
|
|
|
|
//right and left refer to lhs and rhs in the above inequality.
|
|
|
@ -446,15 +453,16 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final NumberFunction functionSin = new NumberFunction() {
|
|
|
|
public final NumberFunction functionSin = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1;
|
|
|
|
return params.length == 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
|
|
|
|
NumberImplementation implementation = context.getInheritedNumberImplementation();
|
|
|
|
NumberInterface pi = piFor(params[0].getClass());
|
|
|
|
NumberInterface pi = piFor(params[0].getClass());
|
|
|
|
NumberInterface twoPi = pi.multiply(implementation.instanceForString("2"));
|
|
|
|
NumberInterface twoPi = pi.multiply(implementation.instanceForString("2"));
|
|
|
|
NumberInterface theta = getSmallAngle(implementation, params[0], pi);
|
|
|
|
NumberInterface theta = getSmallAngle(context, params[0], pi);
|
|
|
|
//System.out.println(theta);
|
|
|
|
//System.out.println(theta);
|
|
|
|
if (theta.compareTo(pi.multiply(implementation.instanceForString("1.5"))) >= 0) {
|
|
|
|
if (theta.compareTo(pi.multiply(implementation.instanceForString("1.5"))) >= 0) {
|
|
|
|
theta = theta.subtract(twoPi);
|
|
|
|
theta = theta.subtract(twoPi);
|
|
|
@ -462,7 +470,7 @@ public class StandardPlugin extends Plugin {
|
|
|
|
theta = pi.subtract(theta);
|
|
|
|
theta = pi.subtract(theta);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
//System.out.println(theta);
|
|
|
|
//System.out.println(theta);
|
|
|
|
return sinTaylor(implementation, theta);
|
|
|
|
return sinTaylor(context, theta);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
/**
|
|
|
|
/**
|
|
|
@ -470,13 +478,13 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final NumberFunction functionCos = new NumberFunction() {
|
|
|
|
public final NumberFunction functionCos = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1;
|
|
|
|
return params.length == 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return functionSin.apply(implementation, piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
|
|
|
|
return functionSin.apply(context, piFor(params[0].getClass()).divide(context.getInheritedNumberImplementation().instanceForString("2"))
|
|
|
|
.subtract(params[0]));
|
|
|
|
.subtract(params[0]));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
@ -485,13 +493,13 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final NumberFunction functionTan = new NumberFunction() {
|
|
|
|
public final NumberFunction functionTan = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1;
|
|
|
|
return params.length == 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return functionSin.apply(implementation, params[0]).divide(functionCos.apply(implementation, params[0]));
|
|
|
|
return functionSin.apply(context, params[0]).divide(functionCos.apply(context, params[0]));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
/**
|
|
|
|
/**
|
|
|
@ -499,13 +507,13 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final NumberFunction functionSec = new NumberFunction() {
|
|
|
|
public final NumberFunction functionSec = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1;
|
|
|
|
return params.length == 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return implementation.instanceForString("1").divide(functionCos.apply(implementation, params[0]));
|
|
|
|
return context.getInheritedNumberImplementation().instanceForString("1").divide(functionCos.apply(context, params[0]));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
/**
|
|
|
|
/**
|
|
|
@ -513,13 +521,13 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final NumberFunction functionCsc = new NumberFunction() {
|
|
|
|
public final NumberFunction functionCsc = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1;
|
|
|
|
return params.length == 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return implementation.instanceForString("1").divide(functionSin.apply(implementation, params[0]));
|
|
|
|
return context.getInheritedNumberImplementation().instanceForString("1").divide(functionSin.apply(context, params[0]));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
/**
|
|
|
|
/**
|
|
|
@ -527,13 +535,13 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final NumberFunction functionCot = new NumberFunction() {
|
|
|
|
public final NumberFunction functionCot = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1;
|
|
|
|
return params.length == 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return functionCos.apply(implementation, params[0]).divide(functionSin.apply(implementation, params[0]));
|
|
|
|
return functionCos.apply(context, params[0]).divide(functionSin.apply(context, params[0]));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
|
@ -542,23 +550,24 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final NumberFunction functionArcsin = new NumberFunction() {
|
|
|
|
public final NumberFunction functionArcsin = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1
|
|
|
|
return params.length == 1
|
|
|
|
&& FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString("1")) <= 0;
|
|
|
|
&& FUNCTION_ABS.apply(context, params[0]).compareTo(context.getInheritedNumberImplementation().instanceForString("1")) <= 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
if (FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString(".8")) >= 0) {
|
|
|
|
NumberImplementation implementation = context.getInheritedNumberImplementation();
|
|
|
|
NumberInterface[] newParams = {FUNCTION_SQRT.apply(implementation, implementation.instanceForString("1").subtract(params[0].multiply(params[0])))};
|
|
|
|
if (FUNCTION_ABS.apply(context, params[0]).compareTo(implementation.instanceForString(".8")) >= 0) {
|
|
|
|
|
|
|
|
NumberInterface[] newParams = {FUNCTION_SQRT.apply(context, implementation.instanceForString("1").subtract(params[0].multiply(params[0])))};
|
|
|
|
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
|
|
|
|
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
|
|
|
|
.subtract(applyInternal(implementation, newParams)).multiply(implementation.instanceForString(Integer.toString(params[0].signum())));
|
|
|
|
.subtract(applyInternal(context, newParams)).multiply(implementation.instanceForString(Integer.toString(params[0].signum())));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
NumberInterface currentTerm = params[0], sum = currentTerm,
|
|
|
|
NumberInterface currentTerm = params[0], sum = currentTerm,
|
|
|
|
multiplier = currentTerm.multiply(currentTerm), summandBound = sum.getMaxError().multiply(implementation.instanceForString("1").subtract(multiplier)),
|
|
|
|
multiplier = currentTerm.multiply(currentTerm), summandBound = sum.getMaxError().multiply(implementation.instanceForString("1").subtract(multiplier)),
|
|
|
|
power = currentTerm, coefficient = implementation.instanceForString("1");
|
|
|
|
power = currentTerm, coefficient = implementation.instanceForString("1");
|
|
|
|
int exponent = 1;
|
|
|
|
int exponent = 1;
|
|
|
|
while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(summandBound) > 0) {
|
|
|
|
while (FUNCTION_ABS.apply(context, currentTerm).compareTo(summandBound) > 0) {
|
|
|
|
exponent += 2;
|
|
|
|
exponent += 2;
|
|
|
|
power = power.multiply(multiplier);
|
|
|
|
power = power.multiply(multiplier);
|
|
|
|
coefficient = coefficient.multiply(implementation.instanceForString(Integer.toString(exponent - 2)))
|
|
|
|
coefficient = coefficient.multiply(implementation.instanceForString(Integer.toString(exponent - 2)))
|
|
|
@ -575,14 +584,14 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final NumberFunction functionArccos = new NumberFunction() {
|
|
|
|
public final NumberFunction functionArccos = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1 && FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString("1")) <= 0;
|
|
|
|
return params.length == 1 && FUNCTION_ABS.apply(context, params[0]).compareTo(context.getInheritedNumberImplementation().instanceForString("1")) <= 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
|
|
|
|
return piFor(params[0].getClass()).divide(context.getInheritedNumberImplementation().instanceForString("2"))
|
|
|
|
.subtract(functionArcsin.apply(implementation, params));
|
|
|
|
.subtract(functionArcsin.apply(context, params));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
|
@ -591,14 +600,14 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final NumberFunction functionArccsc = new NumberFunction() {
|
|
|
|
public final NumberFunction functionArccsc = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1 && FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString("1")) >= 0;
|
|
|
|
return params.length == 1 && FUNCTION_ABS.apply(context, params[0]).compareTo(context.getInheritedNumberImplementation().instanceForString("1")) >= 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
NumberInterface[] reciprocalParamArr = {implementation.instanceForString("1").divide(params[0])};
|
|
|
|
NumberInterface[] reciprocalParamArr = {context.getInheritedNumberImplementation().instanceForString("1").divide(params[0])};
|
|
|
|
return functionArcsin.apply(implementation, reciprocalParamArr);
|
|
|
|
return functionArcsin.apply(context, reciprocalParamArr);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
|
@ -607,14 +616,14 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final NumberFunction functionArcsec = new NumberFunction() {
|
|
|
|
public final NumberFunction functionArcsec = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1 && FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString("1")) >= 0;
|
|
|
|
return params.length == 1 && FUNCTION_ABS.apply(context, params[0]).compareTo(context.getInheritedNumberImplementation().instanceForString("1")) >= 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
NumberInterface[] reciprocalParamArr = {implementation.instanceForString("1").divide(params[0])};
|
|
|
|
NumberInterface[] reciprocalParamArr = {context.getInheritedNumberImplementation().instanceForString("1").divide(params[0])};
|
|
|
|
return functionArccos.apply(implementation, reciprocalParamArr);
|
|
|
|
return functionArccos.apply(context, reciprocalParamArr);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
|
@ -623,20 +632,21 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final NumberFunction functionArctan = new NumberFunction() {
|
|
|
|
public final NumberFunction functionArctan = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1;
|
|
|
|
return params.length == 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
|
|
|
|
NumberImplementation implementation = context.getInheritedNumberImplementation();
|
|
|
|
if (params[0].signum() == -1) {
|
|
|
|
if (params[0].signum() == -1) {
|
|
|
|
NumberInterface[] negatedParams = {params[0].negate()};
|
|
|
|
NumberInterface[] negatedParams = {params[0].negate()};
|
|
|
|
return applyInternal(implementation, negatedParams).negate();
|
|
|
|
return applyInternal(context, negatedParams).negate();
|
|
|
|
}
|
|
|
|
}
|
|
|
|
if (params[0].compareTo(implementation.instanceForString("1")) > 0) {
|
|
|
|
if (params[0].compareTo(implementation.instanceForString("1")) > 0) {
|
|
|
|
NumberInterface[] reciprocalParams = {implementation.instanceForString("1").divide(params[0])};
|
|
|
|
NumberInterface[] reciprocalParams = {implementation.instanceForString("1").divide(params[0])};
|
|
|
|
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
|
|
|
|
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
|
|
|
|
.subtract(applyInternal(implementation, reciprocalParams));
|
|
|
|
.subtract(applyInternal(context, reciprocalParams));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
if (params[0].compareTo(implementation.instanceForString("1")) == 0) {
|
|
|
|
if (params[0].compareTo(implementation.instanceForString("1")) == 0) {
|
|
|
|
return piFor(params[0].getClass()).divide(implementation.instanceForString("4"));
|
|
|
|
return piFor(params[0].getClass()).divide(implementation.instanceForString("4"));
|
|
|
@ -644,12 +654,12 @@ public class StandardPlugin extends Plugin {
|
|
|
|
if (params[0].compareTo(implementation.instanceForString(".9")) >= 0) {
|
|
|
|
if (params[0].compareTo(implementation.instanceForString(".9")) >= 0) {
|
|
|
|
NumberInterface[] newParams = {params[0].multiply(implementation.instanceForString("2"))
|
|
|
|
NumberInterface[] newParams = {params[0].multiply(implementation.instanceForString("2"))
|
|
|
|
.divide(implementation.instanceForString("1").subtract(params[0].multiply(params[0])))};
|
|
|
|
.divide(implementation.instanceForString("1").subtract(params[0].multiply(params[0])))};
|
|
|
|
return applyInternal(implementation, newParams).divide(implementation.instanceForString("2"));
|
|
|
|
return applyInternal(context, newParams).divide(implementation.instanceForString("2"));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
NumberInterface currentPower = params[0], currentTerm = currentPower, sum = currentTerm,
|
|
|
|
NumberInterface currentPower = params[0], currentTerm = currentPower, sum = currentTerm,
|
|
|
|
maxError = params[0].getMaxError(), multiplier = currentPower.multiply(currentPower).negate();
|
|
|
|
maxError = params[0].getMaxError(), multiplier = currentPower.multiply(currentPower).negate();
|
|
|
|
int n = 1;
|
|
|
|
int n = 1;
|
|
|
|
while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(maxError) > 0) {
|
|
|
|
while (FUNCTION_ABS.apply(context, currentTerm).compareTo(maxError) > 0) {
|
|
|
|
n += 2;
|
|
|
|
n += 2;
|
|
|
|
currentPower = currentPower.multiply(multiplier);
|
|
|
|
currentPower = currentPower.multiply(multiplier);
|
|
|
|
currentTerm = currentPower.divide(implementation.instanceForString(Integer.toString(n)));
|
|
|
|
currentTerm = currentPower.divide(implementation.instanceForString(Integer.toString(n)));
|
|
|
@ -664,14 +674,14 @@ public class StandardPlugin extends Plugin {
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
public final NumberFunction functionArccot = new NumberFunction() {
|
|
|
|
public final NumberFunction functionArccot = new NumberFunction() {
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return params.length == 1;
|
|
|
|
return params.length == 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
@Override
|
|
|
|
@Override
|
|
|
|
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
|
|
|
|
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
|
|
|
|
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
|
|
|
|
return piFor(params[0].getClass()).divide(context.getInheritedNumberImplementation().instanceForString("2"))
|
|
|
|
.subtract(functionArctan.apply(implementation, params));
|
|
|
|
.subtract(functionArctan.apply(context, params));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
|
@ -709,16 +719,16 @@ public class StandardPlugin extends Plugin {
|
|
|
|
* @param x where the series is evaluated.
|
|
|
|
* @param x where the series is evaluated.
|
|
|
|
* @return the value of the series
|
|
|
|
* @return the value of the series
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
private static NumberInterface sinTaylor(NumberImplementation implementation, NumberInterface x) {
|
|
|
|
private static NumberInterface sinTaylor(MutableReductionContext context, NumberInterface x) {
|
|
|
|
NumberInterface power = x, multiplier = x.multiply(x).negate(), currentTerm = x, sum = x;
|
|
|
|
NumberInterface power = x, multiplier = x.multiply(x).negate(), currentTerm = x, sum = x;
|
|
|
|
NumberInterface maxError = x.getMaxError();
|
|
|
|
NumberInterface maxError = x.getMaxError();
|
|
|
|
int n = 1;
|
|
|
|
int n = 1;
|
|
|
|
do {
|
|
|
|
do {
|
|
|
|
n += 2;
|
|
|
|
n += 2;
|
|
|
|
power = power.multiply(multiplier);
|
|
|
|
power = power.multiply(multiplier);
|
|
|
|
currentTerm = power.divide(factorial(implementation, n));
|
|
|
|
currentTerm = power.divide(factorial(context.getInheritedNumberImplementation(), n));
|
|
|
|
sum = sum.add(currentTerm);
|
|
|
|
sum = sum.add(currentTerm);
|
|
|
|
} while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(maxError) > 0);
|
|
|
|
} while (FUNCTION_ABS.apply(context, currentTerm).compareTo(maxError) > 0);
|
|
|
|
return sum;
|
|
|
|
return sum;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
@ -728,10 +738,10 @@ public class StandardPlugin extends Plugin {
|
|
|
|
* @param phi an angle (in radians).
|
|
|
|
* @param phi an angle (in radians).
|
|
|
|
* @return theta in [0, 2pi) that differs from phi by a multiple of 2pi.
|
|
|
|
* @return theta in [0, 2pi) that differs from phi by a multiple of 2pi.
|
|
|
|
*/
|
|
|
|
*/
|
|
|
|
private static NumberInterface getSmallAngle(NumberImplementation implementation, NumberInterface phi, NumberInterface pi) {
|
|
|
|
private static NumberInterface getSmallAngle(MutableReductionContext context, NumberInterface phi, NumberInterface pi) {
|
|
|
|
NumberInterface twoPi = pi.multiply(implementation.instanceForString("2"));
|
|
|
|
NumberInterface twoPi = pi.multiply(context.getInheritedNumberImplementation().instanceForString("2"));
|
|
|
|
NumberInterface theta = FUNCTION_ABS.apply(implementation, phi).subtract(twoPi
|
|
|
|
NumberInterface theta = FUNCTION_ABS.apply(context, phi).subtract(twoPi
|
|
|
|
.multiply(FUNCTION_ABS.apply(implementation, phi).divide(twoPi).floor())); //Now theta is in [0, 2pi).
|
|
|
|
.multiply(FUNCTION_ABS.apply(context, phi).divide(twoPi).floor())); //Now theta is in [0, 2pi).
|
|
|
|
if (phi.signum() < 0) {
|
|
|
|
if (phi.signum() < 0) {
|
|
|
|
theta = twoPi.subtract(theta);
|
|
|
|
theta = twoPi.subtract(theta);
|
|
|
|
}
|
|
|
|
}
|
|
|
|