public static IExpression Multiply(IExpression lhe, IExpression rhe)
{
var res = lhe.Clone();
if (rhe is IVariableExpression)
{
res.Count.Multiply(rhe.Count);
if (rhe.DimensionKey.Key == res.DimensionKey.Key)
{
res.DimensionKey.Value += (Fraction)rhe.DimensionKey.Value;
if (res.DimensionKey.Value.Numerator == 0)
{
return(FromCount(res.Count));
}
return(res);
}
}
var tmp = new FlatMultExpression();
tmp.Add(res);
tmp.Add(rhe.Clone());
var r = tmp.Execute();
return(r);
}
public static IExpression Divide(IExpression lhe, IExpression rhe)
{
var res = lhe.Clone();
if (rhe is IVariableExpression)
{
res.Count.Divide(rhe.Count);
if (rhe.DimensionKey.Key == res.DimensionKey.Key)
{
res.DimensionKey.Value -= (Fraction)rhe.DimensionKey.Value;
if (res.DimensionKey.Value.Numerator == 0)
{
return(new ComplexExpression(res.Count));
}
return(res);
}
}
else if (rhe is NumberExpression || rhe is ComplexExpression)
{
res.Count.Divide(rhe.Count);
return(res);
}
var tmp = new FlatMultExpression();
tmp.Add(res);
tmp.Add(new BinaryExpression(rhe.Clone(), OperatorTypes.Power, new NumberExpression(-1)));
var r = tmp.Execute();
return(r);
}
public void Multiply_Number_FlatMult()
{
//Arrange
var expected = new FlatMultExpression();
expected.Add(new VariableExpression("u", 2));
expected.Add(new VariableExpression("y", 3));
expected.Count = new Complex(12, 0);
expected.Execute();
var c = new NumberExpression(3);
var n = new FlatMultExpression();
n.Add(new VariableExpression("u", 2));
n.Add(new VariableExpression("y", 3));
n.Count = new Complex(4, 0);
var expr = new BinaryExpression(c, OperatorTypes.Multiply, n);
//Act
var actual = expr.Execute();
//Assert
Assert.AreEqual(expected.Count.Re.ToNumber(), actual.Count.Re.ToNumber());
Assert.AreEqual(expected.Count.Im.ToNumber(), actual.Count.Im.ToNumber());
}
public static IExpression Divide(IExpression lhe, IExpression rhe)
{
var res = lhe.Clone();
if (rhe is INumberExpression)
{
res.Count.Divide(rhe.Count);
return(ReduceExpression(res));
}
else if (rhe is ComplexExpression rc)
{
res.Count.Divide(rc.Count);
return(ReduceExpression(res));
}
else
{
var tmp = new FlatMultExpression();
tmp.Add(lhe);
tmp.Add(new BinaryExpression(rhe.Clone(), OperatorTypes.Power, new NumberExpression(-1)));
var r = tmp.Execute();
return(r);
}
}
public void Clone_FlatMultExpression()
{
//Arrange
var expression = new FlatMultExpression();
expression.Add(new VariableExpression("x", 1));
expression.Add(new NumberExpression(3));
//Act
var clone = (FlatMultExpression)expression.Clone();
//Assert
Assert.IsTrue(DimensionKey.Compare(expression.DimensionKey, clone.DimensionKey));
Assert.IsTrue(FlatExpression.Compare(expression, clone));
}
private IExpression Delta(IExpression a, IExpression b, IExpression c)
{
var b2 = new BinaryExpression(b, Enums.Operators.OperatorTypes.Power, new NumberExpression(2));
var ac4 = new FlatMultExpression();
ac4.Add(new NumberExpression(-4));
ac4.Add(a);
ac4.Add(c);
var d2 = new FlatAddExpression();
d2.Add(b2);
d2.Add(ac4);
return(d2);
}
public void RecognizesVariable()
{
//Arrange
var text = "2 * x * y";
var expected = new FlatMultExpression();
expected.Add(new NumberExpression(2));
expected.Add(new VariableExpression("x", 1m));
//Act
var rpn = RPNParser.Parse(text);
var actual = (FlatMultExpression)(ExpressionBuilder.BuildFlat(rpn.Output).Execute());
//Assert
Assert.IsTrue(actual.Count.Re.ToNumber() == 2);
Assert.IsTrue(actual.Expressions.ContainsKey("x"));
Assert.IsTrue(actual.Expressions.ContainsKey("y"));
}
public void Clone_FlatMultExpression()
{
//Arrange
var expected = new FlatMultExpression();
expected.Add(new VariableExpression("x", 1));
expected.Add(new VariableExpression("y", 1));
expected.Count = new Complex(3, 2);
//Act
var actual = (FlatMultExpression)expected.Clone();
//Assert
Assert.IsTrue(!Object.ReferenceEquals(actual, expected));
CollectionAssert.AreEquivalent(expected.Expressions, actual.Expressions);
Assert.AreEqual(expected.Count.Re.Numerator, actual.Count.Re.Numerator);
Assert.AreEqual(expected.Count.Re.Denominator, actual.Count.Re.Denominator);
Assert.AreEqual(expected.Count.Im.Numerator, actual.Count.Im.Numerator);
Assert.AreEqual(expected.Count.Im.Denominator, actual.Count.Im.Denominator);
}
public static IExpression BuildFlat(List <ISymbol> RPNStack)
{
List <IExpression> stack = new List <IExpression>();
var i = 0;
try
{
for (i = 0; i < RPNStack.Count; i++)
{
var s = RPNStack[i];
if (s.Type != SymbolTypes.Number && s.Type != SymbolTypes.Variable && s.Type != SymbolTypes.Imaginary)
{
if (s.Type == SymbolTypes.BinaryOperator)
{
var type = Operators.Get(s.Value).Type;
if (type == OperatorTypes.Add)
{
var tmp = new FlatAddExpression();
if (stack[stack.Count - 1] is FlatAddExpression)
{
tmp = (FlatAddExpression)stack[stack.Count - 1] + stack[stack.Count - 2];
}
else if (stack[stack.Count - 2] is FlatAddExpression)
{
tmp = (FlatAddExpression)stack[stack.Count - 2] + stack[stack.Count - 1];
}
else
{
tmp.Add(stack[stack.Count - 1]);
tmp.Add(stack[stack.Count - 2]);
}
stack.RemoveAt(stack.Count - 1);
stack.RemoveAt(stack.Count - 1);
stack.Add(tmp);
}
else if (type == OperatorTypes.Subtract)
{
var tmp = new FlatAddExpression();
if (stack[stack.Count - 1] is FlatAddExpression)
{
tmp = (FlatAddExpression)stack[stack.Count - 1] + stack[stack.Count - 2];
}
else if (stack[stack.Count - 2] is FlatAddExpression)
{
tmp = (FlatAddExpression)stack[stack.Count - 2] + new UnaryExpression(OperatorTypes.Sign, stack[stack.Count - 1]);
}
else
{
tmp.Add(new UnaryExpression(OperatorTypes.Sign, stack[stack.Count - 1]));
tmp.Add(stack[stack.Count - 2]);
}
stack.RemoveAt(stack.Count - 1);
stack.RemoveAt(stack.Count - 1);
stack.Add(tmp);
}
else if (type == OperatorTypes.Multiply)
{
var tmp = new FlatMultExpression();
if (stack[stack.Count - 1] is FlatMultExpression)
{
((FlatMultExpression)stack[stack.Count - 1]).Add(stack[stack.Count - 2]);
tmp = (FlatMultExpression)stack[stack.Count - 1];
}
else if (stack[stack.Count - 2] is FlatMultExpression)
{
((FlatMultExpression)stack[stack.Count - 2]).Add(stack[stack.Count - 1]);
tmp = (FlatMultExpression)stack[stack.Count - 2];
}
else
{
tmp.Add(stack[stack.Count - 1]);
tmp.Add(stack[stack.Count - 2]);
}
stack.RemoveAt(stack.Count - 1);
stack.RemoveAt(stack.Count - 1);
stack.Add(tmp);
}
else if (type == OperatorTypes.Divide)
{
var tmp = new FlatMultExpression();
//TODO when both are flatmult
if (stack[stack.Count - 1] is FlatMultExpression)
{
tmp.Add(stack[stack.Count - 2]);
tmp.Add(new BinaryExpression(stack[stack.Count - 1], OperatorTypes.Power, new NumberExpression(-1)));
}
else if (stack[stack.Count - 2] is FlatMultExpression)
{
tmp = ((FlatMultExpression)stack[stack.Count - 2]);
tmp.Add(new BinaryExpression(stack[stack.Count - 1], OperatorTypes.Power, new NumberExpression(-1)));
}
else
{
//we add inversion and expr to flatmult
tmp.Add(new BinaryExpression(stack[stack.Count - 1], OperatorTypes.Power, new NumberExpression(-1)));
tmp.Add(stack[stack.Count - 2]);
}
stack.RemoveAt(stack.Count - 1);
stack.RemoveAt(stack.Count - 1);
stack.Add(tmp);
}
else
{
var tmp = new BinaryExpression(stack[stack.Count - 2], Operators.Get(s.Value).Type, stack[stack.Count - 1]);
stack.RemoveAt(stack.Count - 1);
stack.RemoveAt(stack.Count - 1);
stack.Add(tmp);
}
}
else if (s.Type == SymbolTypes.UnaryOperator)
{
var tmp = new UnaryExpression(Operators.Get(s.Value).Type, stack[stack.Count - 1]);
stack.RemoveAt(stack.Count - 1);
stack.Add(tmp);
}
else if (s.Type == SymbolTypes.Function)
{
var tmp = Functions.Get(s.Value, stack[stack.Count - 1]);
stack.RemoveAt(stack.Count - 1);
stack.Add(tmp);
}
}
else
{
if (s.Type == SymbolTypes.Number)
{
stack.Add(new NumberExpression(s.Value));
}
else if (s.Type == SymbolTypes.Variable)
{
stack.Add(new VariableExpression(s.Value, 1m));
}
else if (s.Type == SymbolTypes.Imaginary)
{
stack.Add(new ComplexExpression(1m));
}
}
}
}
catch (Exception ex)
{
var msg = "I couldn't undertand what you mean by '" + RPNStack[i].Value + "' after " + string.Join(" ", stack);
throw new WrongSyntaxException(msg, ex);
}
if (stack.Count > 1)
{
var msg = "I couldn't understand what you mean. Please rephrase your equation. What I understood " + Environment.NewLine + stack[0].ToString();
throw new WrongSyntaxException(msg);
}
return(stack[0]);
}