public void SolveFor(VariableIdentifierCollection resultVariable)
{
SimpleSolveForZero();
bool foundResultingVariable = false;
VariableCollection _rightSide = new VariableCollection();
foreach (Variable variable in LeftSide)
{
int matchingVariableCount = 0;
foreach (VariableIdentifier varIdentifier in variable.Identifiers)
{
if (resultVariable.Contains(varIdentifier))
{
matchingVariableCount++;
}
}
if (matchingVariableCount == 0)
{
continue;
}
if (matchingVariableCount == resultVariable.Count)
{
_rightSide.Add(variable);
foundResultingVariable = true;
continue;
}
throw new InvalidOperationException("Cannot solve this equation, beacuse ResultingVariable isn't a single variable in this context!");
}
if (LeftSide.Count == 0 || (LeftSide.Count == 1 && LeftSide[0].Multiplier == 0))
{
throw new InfinitlyManySolutionsException();
}
if (!foundResultingVariable)
{
throw new NoSolutionException("The equation has no solution for the following variable: " + resultVariable);
}
LeftSide -= _rightSide;
RightSide = -(_rightSide);
SimplifyBothSides();
Variable finalVariable = new Variable(resultVariable, 1);
int rightTermsCount = RightSide.Count;
foreach (Variable variable in RightSide)
{
Variable divider = variable / finalVariable;
LeftSide /= divider;
}
LeftSide /= rightTermsCount;
RightSide = finalVariable;
LeftSide.Simplify();
VariableCollection leftSideTmp = LeftSide.Clone();
LeftSide = RightSide;
RightSide = leftSideTmp;
}
