private Node GenerateMaclaurinSeriesPolynomial(double x, int order)
{
if (order == 0)
{
return(this);
}
if (order == 1)
{
return(new PlusSign(new MultiplicationSign(ReturnDerivative(x), new VariableNode()), this));
}
VariableNode variableNode = new VariableNode();
NaturalNumberNode orderNode = new NaturalNumberNode(order);
CaretSign caretSign = new CaretSign(variableNode, orderNode);
Node f0 = ReturnDerivative(x);
for (int i = 1; i < order; i++)
{
f0 = f0.ReturnDerivative(x);
}
MultiplicationSign multiplicationSign = new MultiplicationSign(caretSign, new RationalNumberNode(f0.Calculate(0)));
FactorialFunction factorialFunction = new FactorialFunction(orderNode);
DivisionSign divisionSign = new DivisionSign(multiplicationSign, factorialFunction);
return(new PlusSign(divisionSign, ReturnMaclaurinSeriesPolynomial(x, order - 1)));
}
public double ReturnMaclaurinSeries(double x, int order)
{
if (order == 0)
{
return(Calculate(0));
}
if (order == 1)
{
return(ReturnDerivative(x).Calculate(0) * x + Calculate(0));
}
VariableNode variableNode = new VariableNode();
NaturalNumberNode orderNode = new NaturalNumberNode(order);
CaretSign caretSign = new CaretSign(variableNode, orderNode);
Node f0 = ReturnDerivative(x);
for (int i = 1; i < order; i++)
{
f0 = f0.ReturnDerivative(x);
}
MultiplicationSign multiplicationSign = new MultiplicationSign(caretSign, new RationalNumberNode(f0.Calculate(0)));
FactorialFunction factorialFunction = new FactorialFunction(orderNode);
DivisionSign divisionSign = new DivisionSign(multiplicationSign, factorialFunction);
return(divisionSign.Calculate(x) + ReturnMaclaurinSeries(x, order - 1));
}
public override Node ReturnDerivative(double x)
{
if (leftNode is NumberNode && rightNode is NumberNode)
{
return(new NaturalNumberNode(0));
}
else if (leftNode is VariableNode && (rightNode is NaturalNumberNode || rightNode is RationalNumberNode))
{
RationalNumberNode rationalNumberNodeA = new RationalNumberNode(rightNode.Calculate(x));
RationalNumberNode rationalNumberNodeB = new RationalNumberNode(rightNode.Calculate(x) - 1);
CaretSign caretSign = new CaretSign(leftNode.Copy(), rationalNumberNodeB);
MultiplicationSign multiplicationSign = new MultiplicationSign(rationalNumberNodeA, caretSign);
return(multiplicationSign);
}
else if (leftNode is NumberNode)
{
LogarithmFunction logarithmFunction = new LogarithmFunction(leftNode.Copy());
CaretSign caretSign = new CaretSign(leftNode.Copy(), rightNode.Copy());
MultiplicationSign multiplicationSignA = new MultiplicationSign(logarithmFunction, caretSign);
MultiplicationSign multiplicationSignB = new MultiplicationSign(multiplicationSignA, caretSign.rightNode.ReturnDerivative(x));
return(multiplicationSignB);
}
else
{
MinusSign minusSign = new MinusSign(rightNode.Copy(), new NaturalNumberNode(1));
CaretSign caretSign = new CaretSign(leftNode.Copy(), minusSign);
MultiplicationSign multiplicationSignA = new MultiplicationSign(rightNode.Copy(), caretSign);
MultiplicationSign multiplicationSignB = new MultiplicationSign(multiplicationSignA, leftNode.ReturnDerivative(x));
return(multiplicationSignB);
}
}
public override Node ReturnDerivative(double x)
{
ExponentialFunction exponentialFunction = new ExponentialFunction(child.Copy());
MultiplicationSign multiplicationSign = new MultiplicationSign(exponentialFunction, child.ReturnDerivative(x));
return(multiplicationSign);
}
public override Node ReturnDerivative(double x)
{
CosineFunction cosineNode = new CosineFunction(child.Copy());
Node childDerivative = child.ReturnDerivative(x);
MultiplicationSign multiplicationSign = new MultiplicationSign(cosineNode, childDerivative);
return(multiplicationSign);
}
public override Node ReturnDerivative(double x)
{
NaturalNumberNode zero = new NaturalNumberNode(0);
SineFunction sineNode = new SineFunction(child.Copy());
MinusSign minusNode = new MinusSign(zero, sineNode);
Node childDerivative = child.ReturnDerivative(x);
MultiplicationSign multiplicationSign = new MultiplicationSign(minusNode, childDerivative);
return(multiplicationSign);
}
public override Node ReturnDerivative(double x)
{
MultiplicationSign multiplicationSignA = new MultiplicationSign(leftNode.ReturnDerivative(x), rightNode.Copy());
MultiplicationSign multiplicationSignB = new MultiplicationSign(leftNode.Copy(), rightNode.ReturnDerivative(x));
MinusSign minusSign = new MinusSign(multiplicationSignA, multiplicationSignB);
NaturalNumberNode naturalNumberNode = new NaturalNumberNode(2);
CaretSign caretSign = new CaretSign(rightNode.Copy(), naturalNumberNode);
DivisionSign division = new DivisionSign(minusSign, caretSign);
return(division);
}
private PlusSign[] ReturnNewtonIndeterminates(int order)
{
PlusSign[] funcs = new PlusSign[order + 1];
HNode hNode = new HNode();
NaturalNumberNode orderNode;
MultiplicationSign multiplicationSign;
VariableNode variableNode = new VariableNode();
for (int i = 0; i <= order; i++)
{
orderNode = new NaturalNumberNode(order - i);
multiplicationSign = new MultiplicationSign(orderNode, hNode);
funcs[i] = new PlusSign(variableNode, multiplicationSign);
}
return(funcs);
}
public override Node ReturnDerivative(double x)
{
if (leftNode is NumberNode)
{
return(new MultiplicationSign(leftNode.Copy(), rightNode.ReturnDerivative(x)));
}
else if (rightNode is NumberNode)
{
return(new MultiplicationSign(rightNode.Copy(), leftNode.ReturnDerivative(x)));
}
else
{
MultiplicationSign multiplicationSignA = new MultiplicationSign(leftNode.ReturnDerivative(x), rightNode.Copy());
MultiplicationSign multiplicationSignB = new MultiplicationSign(leftNode.Copy(), rightNode.ReturnDerivative(x));
PlusSign plusSign = new PlusSign(multiplicationSignA, multiplicationSignB);
return(plusSign);
}
}
public double ReturnNewtonMaclaurinSeries(double x, int order)
{
if (order == 0)
{
return(Calculate(0));
}
if (order == 1)
{
return(ReturnNewtonDerivative(0) * x + Calculate(0));
}
VariableNode variableNode = new VariableNode();
NaturalNumberNode orderNode = new NaturalNumberNode(order);
CaretSign caretSign = new CaretSign(variableNode, orderNode);
RationalNumberNode f0 = new RationalNumberNode(CalculatePolynomialDerivative(0, order));
MultiplicationSign multiplicationSign = new MultiplicationSign(caretSign, f0);
FactorialFunction factorialFunction = new FactorialFunction(orderNode);
DivisionSign divisionSign = new DivisionSign(multiplicationSign, factorialFunction);
return(divisionSign.Calculate(x) + ReturnNewtonMaclaurinSeries(x, order - 1));
}
private Node ReturnNewtonPolynomial(double x, int order)
{
Operator sign = null;
int[] coefficients = ReturnIndeterminateCoefficients(order);
PlusSign[] indeterminates = ReturnNewtonIndeterminates(order);
if (order == 0)
{
return(new RationalNumberNode(Calculate(indeterminates[0].Calculate(x))));
}
if (order == 1)
{
return(new MinusSign(new RationalNumberNode(Calculate(indeterminates[0].Calculate(x))), new RationalNumberNode(Calculate(indeterminates[1].Calculate(x)))));
}
NaturalNumberNode naturalNumberNode = new NaturalNumberNode(coefficients[0]);
MultiplicationSign multiplicationSign = new MultiplicationSign(naturalNumberNode, new RationalNumberNode(Calculate(indeterminates[0].Calculate(x))));
sign = multiplicationSign;
for (int i = 1; i <= order; i++)
{
naturalNumberNode = new NaturalNumberNode(Math.Abs(coefficients[i]));
multiplicationSign = new MultiplicationSign(naturalNumberNode, new RationalNumberNode(Calculate(indeterminates[i].Calculate(x))));
if (i % 2 == 0)
{
sign = new PlusSign(sign, multiplicationSign);
}
else
{
sign = new MinusSign(sign, multiplicationSign);
}
}
return(sign);
}
public override Node Simplify()
{
Node simplifiedLeftNode = leftNode.Simplify();
Node simplifiedRightNode = rightNode.Simplify();
if (simplifiedLeftNode is NaturalNumberNode && simplifiedLeftNode.Calculate(0) == 1)
{
return(simplifiedRightNode); //1 * 5 = 5
}
else if (simplifiedRightNode is NaturalNumberNode && simplifiedRightNode.Calculate(0) == 1)
{
return(simplifiedLeftNode); //5 * 1 = 5
}
else if (simplifiedLeftNode is NaturalNumberNode && simplifiedLeftNode.Calculate(0) == 0 ||
simplifiedRightNode is NaturalNumberNode && simplifiedRightNode.Calculate(0) == 0)
{
return(new NaturalNumberNode(0)); //0 * 5 = 0, 5 * 0 = 0
}
else if ((simplifiedLeftNode is TangentFunction && simplifiedRightNode is CotangentFunction) ||
(simplifiedLeftNode is CotangentFunction && simplifiedRightNode is TangentFunction)) // tan(x) * cotg(x) = 1
{
double childValueA = ((Operation)simplifiedLeftNode).ReturnChild().Calculate(5);
double childValueB = ((Operation)simplifiedRightNode).ReturnChild().Calculate(5);
if (childValueA == childValueB)
{
return(new NaturalNumberNode(1));
}
return(new MultiplicationSign(simplifiedLeftNode, simplifiedRightNode));
}
else if ((simplifiedLeftNode is TangentFunction && simplifiedRightNode is CosineFunction) ||
(simplifiedLeftNode is CosineFunction && simplifiedRightNode is TangentFunction) &&
((Operation)simplifiedLeftNode).ReturnChild().Calculate(5) == ((Operation)simplifiedRightNode).ReturnChild().Calculate(5)) //tan(x) * cos(x) = sin(x)
{
Node child = ((Operation)simplifiedLeftNode).ReturnChild();
return(new SineFunction(child));
}
else if ((simplifiedLeftNode is CotangentFunction && simplifiedRightNode is SineFunction) ||
(simplifiedLeftNode is SineFunction && simplifiedRightNode is CotangentFunction) &&
((Operation)simplifiedLeftNode).ReturnChild().Calculate(5) == ((Operation)simplifiedRightNode).ReturnChild().Calculate(5)) //cotg(x) * sin(x) = cos(x)
{
Node child = ((Operation)simplifiedLeftNode).ReturnChild();
return(new CosineFunction(child));
}
else if (simplifiedLeftNode is NumberNode && simplifiedRightNode is NumberNode &&
(!(simplifiedLeftNode is IrrationalNumberNode) && !(simplifiedRightNode is IrrationalNumberNode))) //5 * 2 = 10
{
double valueA = 0;
double valueB = 0;
if (simplifiedLeftNode is RationalNumberNode)
{
valueA = ((RationalNumberNode)simplifiedLeftNode).Value;
}
if (simplifiedLeftNode is NaturalNumberNode)
{
valueA = ((NaturalNumberNode)simplifiedLeftNode).Value;
}
if (simplifiedRightNode is RationalNumberNode)
{
valueB = ((RationalNumberNode)simplifiedRightNode).Value;
}
if (simplifiedRightNode is NaturalNumberNode)
{
valueB = ((NaturalNumberNode)simplifiedRightNode).Value;
}
return(new RationalNumberNode(valueA * valueB));
}
else if (simplifiedLeftNode is ExponentialFunction && simplifiedRightNode is ExponentialFunction) //e^3 * e^2 = e^5
{
return(new ExponentialFunction(new PlusSign(((Operation)simplifiedLeftNode).ReturnChild().Simplify(),
((Operation)simplifiedRightNode).ReturnChild().Simplify()).Simplify()));
}
else if (simplifiedLeftNode is VariableNode && simplifiedRightNode is NumberNode) //x * 5 = 5 * x
{
return(new MultiplicationSign(simplifiedRightNode, simplifiedLeftNode).Simplify());
}
else if (simplifiedLeftNode is PiNode && simplifiedRightNode is NumberNode && !(simplifiedRightNode is IrrationalNumberNode)) //p * 5 = 5 * p
{
return(new MultiplicationSign(simplifiedRightNode, simplifiedLeftNode).Simplify());
}
else if (simplifiedLeftNode is NumberNode && simplifiedRightNode is MultiplicationSign &&
((MultiplicationSign)simplifiedRightNode).ReturnLeftNode().Simplify() is NaturalNumberNode) //5 * (2 * x) = 10 * x
{
return(new MultiplicationSign(
new RationalNumberNode(simplifiedLeftNode.Calculate(1) * ((MultiplicationSign)simplifiedRightNode).ReturnLeftNode().Simplify().Calculate(1)),
((MultiplicationSign)simplifiedRightNode).ReturnRightNode().Simplify()));
}
else if (simplifiedLeftNode is MultiplicationSign && simplifiedRightNode is MultiplicationSign &&
((MultiplicationSign)simplifiedRightNode).ReturnLeftNode().Simplify() is NaturalNumberNode) //(5 * x) * (2 * p) = 10 * p * x
{
return(new MultiplicationSign(
new RationalNumberNode(((MultiplicationSign)simplifiedLeftNode).ReturnLeftNode().Simplify().Calculate(1)
* ((MultiplicationSign)simplifiedRightNode).ReturnLeftNode().Simplify().Calculate(1)),
new MultiplicationSign(((MultiplicationSign)simplifiedLeftNode).ReturnRightNode().Simplify(),
((MultiplicationSign)simplifiedRightNode).ReturnRightNode().Simplify())).Simplify());
}
else if (simplifiedLeftNode is VariableNode && simplifiedRightNode is VariableNode) //x * x = x^2
{
return(new CaretSign(simplifiedLeftNode, new NaturalNumberNode(2)));
}
else if (simplifiedLeftNode is MultiplicationSign && simplifiedRightNode is VariableNode) //(5 * x) * x = 5 * x^2
{
MultiplicationSign multiplicationSign = (MultiplicationSign)simplifiedLeftNode;
if (multiplicationSign.ReturnLeftNode() is NaturalNumberNode && multiplicationSign.ReturnRightNode() is VariableNode)
{
return(new MultiplicationSign(multiplicationSign.ReturnLeftNode(), new CaretSign(simplifiedRightNode, new NaturalNumberNode(2))));
}
else
{
return(new MultiplicationSign(simplifiedLeftNode, simplifiedRightNode));
}
}
else
{
return(new MultiplicationSign(simplifiedLeftNode, simplifiedRightNode));
}
}
public override Node Simplify()
{
Node simplifiedLeftNode = leftNode.Simplify();
Node simplifiedRightNode = rightNode.Simplify();
if (simplifiedLeftNode is NumberNode && simplifiedRightNode is NumberNode &&
(!(simplifiedLeftNode is IrrationalNumberNode) && !(simplifiedRightNode is IrrationalNumberNode))) //5 - 3 = 2
{
double valueA = 0;
double valueB = 0;
if (simplifiedLeftNode is RationalNumberNode)
{
valueA = ((RationalNumberNode)simplifiedLeftNode).Value;
}
if (simplifiedLeftNode is NaturalNumberNode)
{
valueA = ((NaturalNumberNode)simplifiedLeftNode).Value;
}
if (simplifiedRightNode is RationalNumberNode)
{
valueB = ((RationalNumberNode)simplifiedRightNode).Value;
}
if (simplifiedRightNode is NaturalNumberNode)
{
valueB = ((NaturalNumberNode)simplifiedRightNode).Value;
}
return(new RationalNumberNode(valueA - valueB));
}
else if (simplifiedRightNode is NumberNode && simplifiedRightNode.Calculate(0) == 0)
{
return(simplifiedLeftNode); //5 - 0 = 5
}
else if (simplifiedLeftNode is VariableNode && simplifiedRightNode is VariableNode) //x - x = 0
{
return(new NaturalNumberNode(0));
}
else if ((simplifiedLeftNode is VariableNode || simplifiedLeftNode is IrrationalNumberNode) && simplifiedRightNode is MultiplicationSign) //x - 5x = -4x, p - 5p = -4p
{
MultiplicationSign simplifiedMultiplicationRightNode = (MultiplicationSign)simplifiedRightNode;
double valueA = 0;
if (simplifiedMultiplicationRightNode.ReturnRightNode() is VariableNode || simplifiedMultiplicationRightNode.ReturnRightNode() is IrrationalNumberNode)
{
if (simplifiedMultiplicationRightNode.ReturnRightNode().GetType() == simplifiedLeftNode.GetType())
{
if (simplifiedMultiplicationRightNode.ReturnLeftNode() is RationalNumberNode)
{
valueA = ((RationalNumberNode)simplifiedMultiplicationRightNode.ReturnLeftNode()).Value;
}
if (simplifiedMultiplicationRightNode.ReturnLeftNode() is NaturalNumberNode)
{
valueA = ((NaturalNumberNode)simplifiedMultiplicationRightNode.ReturnLeftNode()).Value;
}
return(new MultiplicationSign(new RationalNumberNode(1 - valueA), simplifiedMultiplicationRightNode.ReturnRightNode()));
}
return(new MinusSign(simplifiedLeftNode, simplifiedRightNode));
}
else
{
if (simplifiedMultiplicationRightNode.ReturnLeftNode().GetType() == simplifiedLeftNode.GetType())
{
if (simplifiedMultiplicationRightNode.ReturnRightNode() is RationalNumberNode)
{
valueA = ((RationalNumberNode)simplifiedMultiplicationRightNode.ReturnRightNode()).Value;
}
if (simplifiedMultiplicationRightNode.ReturnRightNode() is NaturalNumberNode)
{
valueA = ((NaturalNumberNode)simplifiedMultiplicationRightNode.ReturnRightNode()).Value;
}
return(new MultiplicationSign(new RationalNumberNode(1 - valueA), simplifiedMultiplicationRightNode.ReturnLeftNode()));
}
return(new MinusSign(simplifiedLeftNode, simplifiedRightNode));
}
}
else if (simplifiedLeftNode is MultiplicationSign && (simplifiedRightNode is VariableNode || simplifiedRightNode is IrrationalNumberNode)) //5x - x = 4x, 5p - p = 4p
{
MultiplicationSign simplifiedMultiplicationLeftNode = (MultiplicationSign)simplifiedLeftNode;
double valueA = 0;
if (simplifiedMultiplicationLeftNode.ReturnRightNode() is VariableNode || simplifiedMultiplicationLeftNode.ReturnRightNode() is IrrationalNumberNode)
{
if (simplifiedMultiplicationLeftNode.ReturnRightNode().GetType() == simplifiedRightNode.GetType())
{
if (simplifiedMultiplicationLeftNode.ReturnLeftNode() is RationalNumberNode)
{
valueA = ((RationalNumberNode)simplifiedMultiplicationLeftNode.ReturnLeftNode()).Value;
}
if (simplifiedMultiplicationLeftNode.ReturnLeftNode() is NaturalNumberNode)
{
valueA = ((NaturalNumberNode)simplifiedMultiplicationLeftNode.ReturnLeftNode()).Value;
}
return(new MultiplicationSign(new RationalNumberNode(valueA - 1), simplifiedMultiplicationLeftNode.ReturnRightNode()));
}
return(new MinusSign(simplifiedLeftNode, simplifiedRightNode));
}
else
{
if (simplifiedMultiplicationLeftNode.ReturnLeftNode().GetType() == simplifiedRightNode.GetType())
{
if (simplifiedMultiplicationLeftNode.ReturnRightNode() is RationalNumberNode)
{
valueA = ((RationalNumberNode)simplifiedMultiplicationLeftNode.ReturnRightNode()).Value;
}
if (simplifiedMultiplicationLeftNode.ReturnRightNode() is NaturalNumberNode)
{
valueA = ((NaturalNumberNode)simplifiedMultiplicationLeftNode.ReturnRightNode()).Value;
}
return(new MultiplicationSign(new RationalNumberNode(valueA - 1), simplifiedMultiplicationLeftNode.ReturnLeftNode()));
}
return(new MinusSign(simplifiedLeftNode, simplifiedRightNode));
}
}
else if (simplifiedLeftNode is IrrationalNumberNode && simplifiedRightNode is IrrationalNumberNode &&
simplifiedLeftNode.Calculate(0) == simplifiedRightNode.Calculate(0)) //p - p = 0
{
return(new NaturalNumberNode(0));
}
else if (simplifiedLeftNode is LogarithmFunction && simplifiedRightNode is LogarithmFunction) //ln(10) - ln(5) = ln(2)
{
return(new LogarithmFunction(new DivisionSign(((Operation)simplifiedLeftNode).ReturnChild().Simplify(),
((Operation)simplifiedRightNode).ReturnChild().Simplify())).Simplify());
}
else if (simplifiedLeftNode is MultiplicationSign && simplifiedRightNode is MultiplicationSign && //5x - 3x = 2x, 5p - 3p = 2p
((((Operator)simplifiedLeftNode).ReturnRightNode() is VariableNode && ((Operator)simplifiedRightNode).ReturnRightNode() is VariableNode) ||
(((Operator)simplifiedLeftNode).ReturnRightNode() is PiNode && ((Operator)simplifiedRightNode).ReturnRightNode() is PiNode)))
{
if (((Operator)simplifiedLeftNode).ReturnLeftNode() is NumberNode &&
Math.Abs(((Operator)simplifiedLeftNode).ReturnLeftNode().Calculate(1) % 1) <= (Double.Epsilon * 100) &&
((Operator)simplifiedRightNode).ReturnLeftNode() is NumberNode &&
Math.Abs(((Operator)simplifiedRightNode).ReturnLeftNode().Calculate(1) % 1) <= (Double.Epsilon * 100))
{
return(new MultiplicationSign(new NaturalNumberNode(
Convert.ToInt32(((Operator)simplifiedLeftNode).ReturnLeftNode().Calculate(1) - ((Operator)simplifiedRightNode).ReturnLeftNode().Calculate(1))),
((Operator)simplifiedLeftNode).ReturnRightNode()).Simplify());
}
else
{
return(new MinusSign(simplifiedLeftNode, simplifiedRightNode));
}
}
else
{
return(new MinusSign(simplifiedLeftNode, simplifiedRightNode));
}
}
public override Node Simplify()
{
Node simplifiedLeftNode = leftNode.Simplify();
Node simplifiedRightNode = rightNode.Simplify();
if (simplifiedLeftNode is NumberNode && simplifiedLeftNode.Calculate(0) == 0)
{
return(simplifiedRightNode); //0 + 5 = 5
}
else if (simplifiedRightNode is NumberNode && simplifiedRightNode.Calculate(0) == 0)
{
return(simplifiedLeftNode); //5 + 0 = 0
}
else if (simplifiedLeftNode is VariableNode && simplifiedRightNode is VariableNode) //x + x = 2 * x
{
return(new MultiplicationSign(new NaturalNumberNode(2), simplifiedLeftNode));
}
else if (simplifiedLeftNode is NumberNode && simplifiedRightNode is NumberNode &&
(!(simplifiedLeftNode is IrrationalNumberNode) && !(simplifiedRightNode is IrrationalNumberNode))) //2 + 5 = 7
{
double valueA = 0;
double valueB = 0;
if (simplifiedLeftNode is RationalNumberNode)
{
valueA = ((RationalNumberNode)simplifiedLeftNode).Value;
}
if (simplifiedLeftNode is NaturalNumberNode)
{
valueA = ((NaturalNumberNode)simplifiedLeftNode).Value;
}
if (simplifiedRightNode is RationalNumberNode)
{
valueB = ((RationalNumberNode)simplifiedRightNode).Value;
}
if (simplifiedRightNode is NaturalNumberNode)
{
valueB = ((NaturalNumberNode)simplifiedRightNode).Value;
}
return(new RationalNumberNode(valueA + valueB));
}
else if ((simplifiedLeftNode is VariableNode || simplifiedLeftNode is IrrationalNumberNode) &&
simplifiedRightNode is MultiplicationSign) //x + 4x = 5x, p + 4p = 5p
{
MultiplicationSign simplifiedMultiplicationRightNode = (MultiplicationSign)simplifiedRightNode;
double valueA = 0;
if (simplifiedMultiplicationRightNode.ReturnRightNode() is VariableNode || simplifiedMultiplicationRightNode.ReturnRightNode() is IrrationalNumberNode)
{
if (simplifiedMultiplicationRightNode.ReturnRightNode().GetType() == simplifiedLeftNode.GetType())
{
if (simplifiedMultiplicationRightNode.ReturnLeftNode() is RationalNumberNode)
{
valueA = ((RationalNumberNode)simplifiedMultiplicationRightNode.ReturnLeftNode()).Value;
}
if (simplifiedMultiplicationRightNode.ReturnLeftNode() is NaturalNumberNode)
{
valueA = ((NaturalNumberNode)simplifiedMultiplicationRightNode.ReturnLeftNode()).Value;
}
return(new MultiplicationSign(new RationalNumberNode(valueA + 1), simplifiedMultiplicationRightNode.ReturnRightNode()));
}
return(new PlusSign(simplifiedLeftNode, simplifiedRightNode));
}
else
{
if (simplifiedMultiplicationRightNode.ReturnLeftNode().GetType() == simplifiedLeftNode.GetType())
{
if (simplifiedMultiplicationRightNode.ReturnRightNode() is RationalNumberNode)
{
valueA = ((RationalNumberNode)simplifiedMultiplicationRightNode.ReturnRightNode()).Value;
}
if (simplifiedMultiplicationRightNode.ReturnRightNode() is NaturalNumberNode)
{
valueA = ((NaturalNumberNode)simplifiedMultiplicationRightNode.ReturnRightNode()).Value;
}
return(new MultiplicationSign(new RationalNumberNode(valueA + 1), simplifiedMultiplicationRightNode.ReturnLeftNode()));
}
return(new PlusSign(simplifiedLeftNode, simplifiedRightNode));
}
}
else if (simplifiedLeftNode is MultiplicationSign &&
(simplifiedRightNode is VariableNode || simplifiedRightNode is IrrationalNumberNode)) //4x + x = 5x, 4p + p = 5p
{
MultiplicationSign simplifiedMultiplicationLeftNode = (MultiplicationSign)simplifiedLeftNode;
double valueA = 0;
if (simplifiedMultiplicationLeftNode.ReturnRightNode() is VariableNode || simplifiedMultiplicationLeftNode.ReturnRightNode() is IrrationalNumberNode)
{
if (simplifiedMultiplicationLeftNode.ReturnRightNode().GetType() == simplifiedRightNode.GetType())
{
if (simplifiedMultiplicationLeftNode.ReturnLeftNode() is RationalNumberNode)
{
valueA = ((RationalNumberNode)simplifiedMultiplicationLeftNode.ReturnLeftNode()).Value;
}
if (simplifiedMultiplicationLeftNode.ReturnLeftNode() is NaturalNumberNode)
{
valueA = ((NaturalNumberNode)simplifiedMultiplicationLeftNode.ReturnLeftNode()).Value;
}
return(new MultiplicationSign(new RationalNumberNode(valueA + 1), simplifiedMultiplicationLeftNode.ReturnRightNode()));
}
return(new PlusSign(simplifiedLeftNode, simplifiedRightNode));
}
else
{
if (simplifiedMultiplicationLeftNode.ReturnLeftNode().GetType() == simplifiedRightNode.GetType())
{
if (simplifiedMultiplicationLeftNode.ReturnRightNode() is RationalNumberNode)
{
valueA = ((RationalNumberNode)simplifiedMultiplicationLeftNode.ReturnRightNode()).Value;
}
if (simplifiedMultiplicationLeftNode.ReturnRightNode() is NaturalNumberNode)
{
valueA = ((NaturalNumberNode)simplifiedMultiplicationLeftNode.ReturnRightNode()).Value;
}
return(new MultiplicationSign(new RationalNumberNode(valueA + 1), simplifiedMultiplicationLeftNode.ReturnLeftNode()));
}
return(new PlusSign(simplifiedLeftNode, simplifiedRightNode));
}
}
else if (simplifiedLeftNode is IrrationalNumberNode &&
simplifiedRightNode is IrrationalNumberNode && simplifiedLeftNode.Calculate(0) == simplifiedRightNode.Calculate(0)) //p + p = 2 * p
{
return(new MultiplicationSign(new NaturalNumberNode(2), simplifiedLeftNode));
}
else if (simplifiedLeftNode is LogarithmFunction && simplifiedRightNode is LogarithmFunction) //ln(5) + ln(2) = ln(10)
{
return(new LogarithmFunction(new MultiplicationSign(((Operation)simplifiedLeftNode).ReturnChild().Simplify(),
((Operation)simplifiedRightNode).ReturnChild().Simplify())).Simplify());
}
else if (simplifiedLeftNode is MultiplicationSign && simplifiedRightNode is MultiplicationSign &&
((((Operator)simplifiedLeftNode).ReturnRightNode() is VariableNode && ((Operator)simplifiedRightNode).ReturnRightNode() is VariableNode) ||
(((Operator)simplifiedLeftNode).ReturnRightNode() is PiNode && ((Operator)simplifiedRightNode).ReturnRightNode() is PiNode))) //2x + 3x = 5x, 2p + 3p = 5p
{
if (((Operator)simplifiedLeftNode).ReturnLeftNode() is NumberNode &&
Math.Abs(((Operator)simplifiedLeftNode).ReturnLeftNode().Calculate(1) % 1) <= (Double.Epsilon * 100) &&
((Operator)simplifiedRightNode).ReturnLeftNode() is NumberNode &&
Math.Abs(((Operator)simplifiedRightNode).ReturnLeftNode().Calculate(1) % 1) <= (Double.Epsilon * 100))
{
return(new MultiplicationSign(new NaturalNumberNode(
Convert.ToInt32(((Operator)simplifiedLeftNode).ReturnLeftNode().Calculate(1) + ((Operator)simplifiedRightNode).ReturnLeftNode().Calculate(1))),
((Operator)simplifiedLeftNode).ReturnRightNode()).Simplify());
}
else
{
return(new PlusSign(simplifiedLeftNode, simplifiedRightNode));
}
}
else
{
return(new PlusSign(simplifiedLeftNode, simplifiedRightNode));
}
}
