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Code Issues Releases Wiki Activity

Switch all applicables to use the Context.

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This commit is contained in:
Danila Fedorin 2017-09-06 21:43:07 -07:00
parent 58fea9c52b
commit 91986112a1
9 changed files with 191 additions and 191 deletions
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25
core/src/main/java/org/nwapw/abacus/function/EvaluationException.java Normal file
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@ -0,0 +1,25 @@
package org.nwapw.abacus.function;
/**
* An exception thrown primarily from Tree Value operators and functions,
* which have to deal with the result of a Reducer as well as the results
* of Applicable.
*/
public class EvaluationException extends RuntimeException {
/**
* Creates a new EvaluationException with the default string.
*/
public EvaluationException() {
super("Error evaluating expression.");
}
/**
* Creates a new EvaluationError with the given message string.
* @param message the message string.
*/
public EvaluationException(String message) {
super(message);
}
}

242
core/src/main/java/org/nwapw/abacus/plugin/StandardPlugin.java
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@ -1,7 +1,6 @@
package org.nwapw.abacus.plugin;
import org.jetbrains.annotations.NotNull;
import org.jetbrains.annotations.Nullable;
import org.nwapw.abacus.context.MutableReductionContext;
import org.nwapw.abacus.function.*;
import org.nwapw.abacus.number.NaiveNumber;
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) {
@Override
public boolean matchesParams(NumberImplementation implementation, TreeNode[] params) {
public boolean matchesParams(MutableReductionContext context, TreeNode[] params) {
return params.length == 2 && params[0] instanceof VariableNode;
}
@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();
NumberInterface value = params[1].reduce(reducer);
getVariableDatabase().getVariables().put(assignTo, value);
NumberInterface value = params[1].reduce(context.getReducer());
if(value == null) throw new EvaluationException();
context.setVariable(assignTo, value);
return value;
}
};
@ -41,16 +41,17 @@ public class StandardPlugin extends Plugin {
*/
public final TreeValueOperator opDefine = new TreeValueOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX, 0) {
@Override
public boolean matchesParams(NumberImplementation implementation, TreeNode[] params) {
public boolean matchesParams(MutableReductionContext context, TreeNode[] params) {
return params.length == 2 && params[0] instanceof VariableNode;
}
@Nullable
@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();
getVariableDatabase().getDefinitions().put(assignTo, params[1]);
return params[1].reduce(reducer);
context.setDefinition(assignTo, params[1]);
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) {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 2;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
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) {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 2;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
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) {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
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) {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 2;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
return params[0].multiply(params[1]);
}
};
@ -135,7 +136,8 @@ public class StandardPlugin extends Plugin {
@Override
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 L = new PreciseNumber("13591409");
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) {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 2 && params[1].compareTo(implementation.instanceForString(Integer.toString(0))) != 0;
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 2 && params[1].compareTo(context.getInheritedNumberImplementation().instanceForString(Integer.toString(0))) != 0;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
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) {
//private HashMap<Class<? extends NumberInterface>, ArrayList<NumberInterface>> storedList = new HashMap<Class<? extends NumberInterface>, ArrayList<NumberInterface>>();
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
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;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
NumberImplementation implementation = context.getInheritedNumberImplementation();
if (params[0].signum() == 0) {
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) {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 2 && params[0].fractionalPart().signum() == 0
&& params[1].fractionalPart().signum() == 0;
}
@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 ||
params[0].signum() < 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) {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 2 && params[0].fractionalPart().signum() == 0
&& params[1].fractionalPart().signum() == 0;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return OP_NPR.apply(implementation, params).divide(OP_FACTORIAL.apply(implementation, params[1]));
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
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() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return params[0].multiply(implementation.instanceForString(Integer.toString(params[0].signum())));
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
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() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
return params.length == 1 && params[0].compareTo(implementation.instanceForString("0")) > 0;
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1 && params[0].compareTo(context.getInheritedNumberImplementation().instanceForString("0")) > 0;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
NumberImplementation implementation = context.getInheritedNumberImplementation();
NumberInterface param = params[0];
NumberInterface one = implementation.instanceForString("1");
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) {
param = param.divide(implementation.instanceForString("2"));
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.)
* @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();
x = x.subtract(implementation.instanceForString("1")); //Terms used are for log(x+1).
NumberInterface currentNumerator = x, currentTerm = x, sum = x;
int n = 1;
while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(maxError) > 0) {
while (FUNCTION_ABS.apply(context, currentTerm).compareTo(maxError) > 0) {
n++;
currentNumerator = currentNumerator.multiply(x).negate();
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() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return implementation.instanceForString(Long.toString(Math.round(Math.random() * params[0].floor().intValue())));
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
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) {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
NumberInterface zero = implementation.instanceForString("0");
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
NumberInterface zero = context.getInheritedNumberImplementation().instanceForString("0");
return params.length == 2
&& !(params[0].compareTo(zero) == 0
&& params[1].compareTo(zero) == 0)
@ -373,7 +378,8 @@ public class StandardPlugin extends Plugin {
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
NumberImplementation implementation = context.getInheritedNumberImplementation();
NumberInterface zero = implementation.instanceForString("0");
if (params[0].compareTo(zero) == 0)
return zero;
@ -381,12 +387,12 @@ public class StandardPlugin extends Plugin {
return implementation.instanceForString("1");
//Detect integer bases:
if (params[0].fractionalPart().compareTo(implementation.instanceForString("0")) == 0
&& FUNCTION_ABS.apply(implementation, params[1]).compareTo(implementation.instanceForString(Integer.toString(Integer.MAX_VALUE))) < 0
&& FUNCTION_ABS.apply(implementation, params[1]).compareTo(implementation.instanceForString("1")) >= 0) {
&& FUNCTION_ABS.apply(context, params[1]).compareTo(implementation.instanceForString(Integer.toString(Integer.MAX_VALUE))) < 0
&& FUNCTION_ABS.apply(context, params[1]).compareTo(implementation.instanceForString("1")) >= 0) {
NumberInterface[] newParams = {params[0], params[1].fractionalPart()};
return params[0].intPow(params[1].floor().intValue()).multiply(applyInternal(implementation, newParams));
return 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() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return OP_CARET.apply(implementation, params[0], implementation.instanceForString(".5"));
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
return OP_CARET.apply(context, params[0], context.getInheritedNumberImplementation().instanceForString(".5"));
}
};
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() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
NumberImplementation implementation = context.getInheritedNumberImplementation();
NumberInterface maxError = params[0].getMaxError();
int n = 0;
if (params[0].signum() < 0) {
NumberInterface[] negatedParams = {params[0].negate()};
return implementation.instanceForString("1").divide(applyInternal(implementation, negatedParams));
return implementation.instanceForString("1").divide(applyInternal(context, negatedParams));
} else {
//We need n such that x^(n+1) * 3^ceil(x) <= maxError * (n+1)!.
//right and left refer to lhs and rhs in the above inequality.
@ -446,15 +453,16 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionSin = new NumberFunction() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1;
}
@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 twoPi = pi.multiply(implementation.instanceForString("2"));
NumberInterface theta = getSmallAngle(implementation, params[0], pi);
NumberInterface theta = getSmallAngle(context, params[0], pi);
//System.out.println(theta);
if (theta.compareTo(pi.multiply(implementation.instanceForString("1.5"))) >= 0) {
theta = theta.subtract(twoPi);
@ -462,7 +470,7 @@ public class StandardPlugin extends Plugin {
theta = pi.subtract(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() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return functionSin.apply(implementation, piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
return functionSin.apply(context, piFor(params[0].getClass()).divide(context.getInheritedNumberImplementation().instanceForString("2"))
.subtract(params[0]));
}
};
@ -485,13 +493,13 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionTan = new NumberFunction() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return functionSin.apply(implementation, params[0]).divide(functionCos.apply(implementation, params[0]));
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
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() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return implementation.instanceForString("1").divide(functionCos.apply(implementation, params[0]));
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
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() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return implementation.instanceForString("1").divide(functionSin.apply(implementation, params[0]));
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
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() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return functionCos.apply(implementation, params[0]).divide(functionSin.apply(implementation, params[0]));
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
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() {
@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;
&& FUNCTION_ABS.apply(context, params[0]).compareTo(context.getInheritedNumberImplementation().instanceForString("1")) <= 0;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
if (FUNCTION_ABS.apply(implementation, params[0]).compareTo(implementation.instanceForString(".8")) >= 0) {
NumberInterface[] newParams = {FUNCTION_SQRT.apply(implementation, implementation.instanceForString("1").subtract(params[0].multiply(params[0])))};
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
NumberImplementation implementation = context.getInheritedNumberImplementation();
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"))
.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,
multiplier = currentTerm.multiply(currentTerm), summandBound = sum.getMaxError().multiply(implementation.instanceForString("1").subtract(multiplier)),
power = currentTerm, coefficient = implementation.instanceForString("1");
int exponent = 1;
while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(summandBound) > 0) {
while (FUNCTION_ABS.apply(context, currentTerm).compareTo(summandBound) > 0) {
exponent += 2;
power = power.multiply(multiplier);
coefficient = coefficient.multiply(implementation.instanceForString(Integer.toString(exponent - 2)))
@ -575,14 +584,14 @@ 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(implementation.instanceForString("1")) <= 0;
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1 && FUNCTION_ABS.apply(context, params[0]).compareTo(context.getInheritedNumberImplementation().instanceForString("1")) <= 0;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
.subtract(functionArcsin.apply(implementation, params));
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
return piFor(params[0].getClass()).divide(context.getInheritedNumberImplementation().instanceForString("2"))
.subtract(functionArcsin.apply(context, params));
}
};
@ -591,14 +600,14 @@ 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(implementation.instanceForString("1")) >= 0;
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1 && FUNCTION_ABS.apply(context, params[0]).compareTo(context.getInheritedNumberImplementation().instanceForString("1")) >= 0;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
NumberInterface[] reciprocalParamArr = {implementation.instanceForString("1").divide(params[0])};
return functionArcsin.apply(implementation, reciprocalParamArr);
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
NumberInterface[] reciprocalParamArr = {context.getInheritedNumberImplementation().instanceForString("1").divide(params[0])};
return functionArcsin.apply(context, reciprocalParamArr);
}
};
@ -607,14 +616,14 @@ 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(implementation.instanceForString("1")) >= 0;
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1 && FUNCTION_ABS.apply(context, params[0]).compareTo(context.getInheritedNumberImplementation().instanceForString("1")) >= 0;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
NumberInterface[] reciprocalParamArr = {implementation.instanceForString("1").divide(params[0])};
return functionArccos.apply(implementation, reciprocalParamArr);
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
NumberInterface[] reciprocalParamArr = {context.getInheritedNumberImplementation().instanceForString("1").divide(params[0])};
return functionArccos.apply(context, reciprocalParamArr);
}
};
@ -623,20 +632,21 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionArctan = new NumberFunction() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
NumberImplementation implementation = context.getInheritedNumberImplementation();
if (params[0].signum() == -1) {
NumberInterface[] negatedParams = {params[0].negate()};
return applyInternal(implementation, negatedParams).negate();
return applyInternal(context, negatedParams).negate();
}
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));
.subtract(applyInternal(context, reciprocalParams));
}
if (params[0].compareTo(implementation.instanceForString("1")) == 0) {
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) {
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"));
return applyInternal(context, newParams).divide(implementation.instanceForString("2"));
}
NumberInterface currentPower = params[0], currentTerm = currentPower, sum = currentTerm,
maxError = params[0].getMaxError(), multiplier = currentPower.multiply(currentPower).negate();
int n = 1;
while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(maxError) > 0) {
while (FUNCTION_ABS.apply(context, currentTerm).compareTo(maxError) > 0) {
n += 2;
currentPower = currentPower.multiply(multiplier);
currentTerm = currentPower.divide(implementation.instanceForString(Integer.toString(n)));
@ -664,14 +674,14 @@ public class StandardPlugin extends Plugin {
*/
public final NumberFunction functionArccot = new NumberFunction() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 1;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return piFor(params[0].getClass()).divide(implementation.instanceForString("2"))
.subtract(functionArctan.apply(implementation, params));
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
return piFor(params[0].getClass()).divide(context.getInheritedNumberImplementation().instanceForString("2"))
.subtract(functionArctan.apply(context, params));
}
};
@ -709,16 +719,16 @@ public class StandardPlugin extends Plugin {
* @param x where the series is evaluated.
* @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 maxError = x.getMaxError();
int n = 1;
do {
n += 2;
power = power.multiply(multiplier);
currentTerm = power.divide(factorial(implementation, n));
currentTerm = power.divide(factorial(context.getInheritedNumberImplementation(), n));
sum = sum.add(currentTerm);
} while (FUNCTION_ABS.apply(implementation, currentTerm).compareTo(maxError) > 0);
} while (FUNCTION_ABS.apply(context, currentTerm).compareTo(maxError) > 0);
return sum;
}
@ -728,10 +738,10 @@ public class StandardPlugin extends Plugin {
* @param phi an angle (in radians).
* @return theta in [0, 2pi) that differs from phi by a multiple of 2pi.
*/
private static NumberInterface getSmallAngle(NumberImplementation implementation, NumberInterface phi, NumberInterface pi) {
NumberInterface twoPi = pi.multiply(implementation.instanceForString("2"));
NumberInterface theta = FUNCTION_ABS.apply(implementation, phi).subtract(twoPi
.multiply(FUNCTION_ABS.apply(implementation, phi).divide(twoPi).floor())); //Now theta is in [0, 2pi).
private static NumberInterface getSmallAngle(MutableReductionContext context, NumberInterface phi, NumberInterface pi) {
NumberInterface twoPi = pi.multiply(context.getInheritedNumberImplementation().instanceForString("2"));
NumberInterface theta = FUNCTION_ABS.apply(context, phi).subtract(twoPi
.multiply(FUNCTION_ABS.apply(context, phi).divide(twoPi).floor())); //Now theta is in [0, 2pi).
if (phi.signum() < 0) {
theta = twoPi.subtract(theta);
}

2
core/src/main/kotlin/org/nwapw/abacus/Abacus.kt
View File

@ -84,6 +84,6 @@ class Abacus(val configuration: Configuration) {
* @return the resulting number, or null of the reduction failed.
*/
fun evaluateTree(tree: TreeNode): NumberInterface? =
tree.reduce(NumberReducer(this, context.mutableSubInstance()))
tree.reduce(NumberReducer(this, context))
}

4
core/src/main/kotlin/org/nwapw/abacus/function/TreeValueFunction.kt
View File

@ -1,6 +1,6 @@
package org.nwapw.abacus.function
import org.nwapw.abacus.function.applicable.ReducerApplicable
import org.nwapw.abacus.function.applicable.Applicable
import org.nwapw.abacus.number.NumberInterface
import org.nwapw.abacus.tree.TreeNode
@ -10,4 +10,4 @@ import org.nwapw.abacus.tree.TreeNode
* A function that operates on parse tree nodes instead of on already simplified numbers.
* Despite this, it returns a number, not a tree.
*/
abstract class TreeValueFunction : ReducerApplicable<TreeNode, NumberInterface, NumberInterface>
abstract class TreeValueFunction : Applicable<TreeNode, NumberInterface>

4
core/src/main/kotlin/org/nwapw/abacus/function/TreeValueOperator.kt
View File

@ -1,6 +1,6 @@
package org.nwapw.abacus.function
import org.nwapw.abacus.function.applicable.ReducerApplicable
import org.nwapw.abacus.function.applicable.Applicable
import org.nwapw.abacus.number.NumberInterface
import org.nwapw.abacus.tree.TreeNode
@ -15,4 +15,4 @@ import org.nwapw.abacus.tree.TreeNode
abstract class TreeValueOperator(associativity: OperatorAssociativity, type: OperatorType,
precedence: Int) :
Operator(associativity, type, precedence),
ReducerApplicable<TreeNode, NumberInterface, NumberInterface>
Applicable<TreeNode, NumberInterface>

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

@ -1,7 +1,7 @@
package org.nwapw.abacus.function.applicable
import org.nwapw.abacus.context.MutableReductionContext
import org.nwapw.abacus.function.DomainException
import org.nwapw.abacus.plugin.NumberImplementation
/**
* A class that can be applied to arguments.
@ -18,7 +18,7 @@ interface Applicable<in T : Any, out O : Any> {
* @param params the parameter array to verify for compatibility.
* @return whether the array can be used with applyInternal.
*/
fun matchesParams(implementation: NumberImplementation, params: Array<out T>): Boolean
fun matchesParams(context: MutableReductionContext, params: Array<out T>): Boolean
/**
* Applies the applicable object to the given parameters,
@ -26,7 +26,7 @@ interface Applicable<in T : Any, out O : Any> {
* @param params the parameters to apply to.
* @return the result of the application.
*/
fun applyInternal(implementation: NumberImplementation, params: Array<out T>): O
fun applyInternal(context: MutableReductionContext, params: Array<out T>): O
/**
* If the parameters can be used with this applicable, returns
@ -35,9 +35,9 @@ interface Applicable<in T : Any, out O : Any> {
* @param params the parameters to apply to.
* @return the result of the operation, or null if parameters do not match.
*/
fun apply(implementation: NumberImplementation, vararg params: T): O {
if (!matchesParams(implementation, params)) throw DomainException()
return applyInternal(implementation, params)
fun apply(context: MutableReductionContext, vararg params: T): O {
if (!matchesParams(context, params)) throw DomainException()
return applyInternal(context, params)
}
}

45
core/src/main/kotlin/org/nwapw/abacus/function/applicable/ReducerApplicable.kt
View File

@ -1,45 +0,0 @@
package org.nwapw.abacus.function.applicable
import org.nwapw.abacus.function.DomainException
import org.nwapw.abacus.plugin.NumberImplementation
import org.nwapw.abacus.tree.Reducer
/**
* Applicable that requires a reducer.
*
* ReducerApplicable slightly more specific Applicable that requires a reducer
* to be passed to it along with the parameters.
* @param <T> the type of the input arguments.
* @param <O> the return type of the application.
* @param <R> the required type of the reducer.
*/
interface ReducerApplicable<in T : Any, out O : Any, in R : Any> {
/**
* Checks if this applicable can be applied to the
* given parameters.
* @param params the parameters to check.
*/
fun matchesParams(implementation: NumberImplementation, params: Array<out T>): Boolean
/**
* Applies this applicable to the given arguments, and reducer.
* @param reducer the reducer to use in the application.
* @param params the arguments to apply to.
* @return the result of the application.
*/
fun applyWithReducerInternal(implementation: NumberImplementation, reducer: Reducer<R>, params: Array<out T>): O
/**
* Applies this applicable to the given arguments, and reducer,
* if the arguments and reducer are compatible with this applicable.
* @param reducer the reducer to use in the application.
* @param params the arguments to apply to.
* @return the result of the application, or null if the arguments are incompatible.
*/
fun applyWithReducer(implementation: NumberImplementation, reducer: Reducer<R>, vararg params: T): O {
if (!matchesParams(implementation, params)) throw DomainException()
return applyWithReducerInternal(implementation, reducer, params)
}
}

26
core/src/main/kotlin/org/nwapw/abacus/tree/NumberReducer.kt
View File

@ -2,10 +2,17 @@ package org.nwapw.abacus.tree
import org.nwapw.abacus.Abacus
import org.nwapw.abacus.context.MutableReductionContext
import org.nwapw.abacus.context.ReductionContext
import org.nwapw.abacus.function.NumberFunction
import org.nwapw.abacus.number.NumberInterface
class NumberReducer(val abacus: Abacus, val context: MutableReductionContext) : Reducer<NumberInterface> {
class NumberReducer(val abacus: Abacus, context: ReductionContext) : Reducer<NumberInterface> {
val context = context.mutableSubInstance()
init {
this.context.reducer = this
}
override fun reduceNode(treeNode: TreeNode, vararg children: Any): NumberInterface? {
val promotionManager = abacus.promotionManager
@ -22,33 +29,34 @@ class NumberReducer(val abacus: Abacus, val context: MutableReductionContext) :
}
is NumberUnaryNode -> {
val child = children[0] as NumberInterface
context.numberImplementation = abacus.pluginManager.interfaceImplementationFor(child.javaClass)
abacus.pluginManager.operatorFor(treeNode.operation)
.apply(abacus.pluginManager.interfaceImplementationFor(child.javaClass), child)
.apply(context, child)
}
is NumberBinaryNode -> {
val left = children[0] as NumberInterface
val right = children[1] as NumberInterface
val promotionResult = promotionManager.promote(left, right) ?: return null
abacus.pluginManager.operatorFor(treeNode.operation).apply(promotionResult.promotedTo, *promotionResult.items)
context.numberImplementation = promotionResult.promotedTo
abacus.pluginManager.operatorFor(treeNode.operation).apply(context, *promotionResult.items)
}
is FunctionNode -> {
val promotionResult = promotionManager
.promote(*children.map { it as NumberInterface }.toTypedArray()) ?: return null
abacus.pluginManager.functionFor(treeNode.callTo).apply(promotionResult.promotedTo, *promotionResult.items)
context.numberImplementation = promotionResult.promotedTo
abacus.pluginManager.functionFor(treeNode.callTo).apply(context, *promotionResult.items)
}
is TreeValueUnaryNode -> {
abacus.pluginManager.treeValueOperatorFor(treeNode.operation)
.applyWithReducer(context.inheritedNumberImplementation!!, this, children[0] as TreeNode)
.apply(context, treeNode.applyTo ?: return null)
}
is TreeValueBinaryNode -> {
abacus.pluginManager.treeValueOperatorFor(treeNode.operation)
.applyWithReducer(context.inheritedNumberImplementation!!, this,
children[0] as TreeNode, children[1] as TreeNode)
.apply(context, treeNode.left ?: return null, treeNode.right ?: return null)
}
is TreeValueFunctionNode -> {
abacus.pluginManager.treeValueFunctionFor(treeNode.callTo)
.applyWithReducer(context.inheritedNumberImplementation!!, this,
*children.map { it as TreeNode }.toTypedArray())
.apply(context, *treeNode.children.toTypedArray())
}
else -> null
}

18
core/src/test/java/org/nwapw/abacus/tests/TokenizerTests.java
View File

@ -1,10 +1,12 @@
package org.nwapw.abacus.tests;
import org.jetbrains.annotations.NotNull;
import org.junit.Assert;
import org.junit.BeforeClass;
import org.junit.Test;
import org.nwapw.abacus.Abacus;
import org.nwapw.abacus.config.Configuration;
import org.nwapw.abacus.context.MutableReductionContext;
import org.nwapw.abacus.function.*;
import org.nwapw.abacus.lexing.pattern.Match;
import org.nwapw.abacus.number.NumberInterface;
@ -21,12 +23,12 @@ public class TokenizerTests {
private static LexerTokenizer lexerTokenizer = new LexerTokenizer();
private static NumberFunction subtractFunction = new NumberFunction() {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return params.length == 2;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
return params[0].subtract(params[1]);
}
};
@ -37,26 +39,26 @@ public class TokenizerTests {
0) {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return true;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return subtractFunction.apply(implementation, params);
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
return subtractFunction.apply(context, params);
}
});
registerOperator("-", new NumberOperator(OperatorAssociativity.LEFT, OperatorType.BINARY_INFIX,
0) {
@Override
public boolean matchesParams(NumberImplementation implementation, NumberInterface[] params) {
public boolean matchesParams(MutableReductionContext context, NumberInterface[] params) {
return true;
}
@Override
public NumberInterface applyInternal(NumberImplementation implementation, NumberInterface[] params) {
return subtractFunction.apply(implementation, params);
public NumberInterface applyInternal(MutableReductionContext context, NumberInterface[] params) {
return subtractFunction.apply(context, params);
}
});
registerFunction("subtract", subtractFunction);