internal static bool isAnyComposition(int[][] permutations)
{
for (int i = 0; i < permutations.Length; i++)
{
for (int j = 0; j < permutations.Length; j++)
{
int[] composition = WithoutRepetition.CompositionOfPermutation(permutations[i], permutations[j]);
bool flag = false;
for (int k = 0; k < permutations.Length; k++)
{
if (!flag)
{
if (ArrayFunctions.compareIntArrays(composition, permutations[k]))
{
flag = true;
}
}
}
if (!flag)
{
return(false);
}
}
}
return(true);
}
static public void WriteComposition(int[] leftPermutation, int[] rightPermutation)
{
int[] resultPermutation = WithoutRepetition.CompositionOfPermutation(leftPermutation, rightPermutation);
int[][] resultPermutationCycle = WithoutRepetition.PermutationToCycle(resultPermutation);
int[][] leftPermutationCycle = WithoutRepetition.PermutationToCycle(leftPermutation);
int[][] rightPermutationCycle = WithoutRepetition.PermutationToCycle(rightPermutation);
using (StreamWriter writer = new StreamWriter("log.txt", true))
{
WriteDate(writer);
WriteLine(writer, "Composition permutations:");
WriteLine(writer);
WriteLine(writer, "Left Permutation:");
Write(writer, "One-line notation: ");
WriteVector(writer, leftPermutation);
WriteLine(writer);
Write(writer, "Canonical cycle notation: ");
WriteCycle(writer, leftPermutationCycle);
WriteLine(writer);
WriteLine(writer);
WriteLine(writer, "Right Permutation:");
Write(writer, "One-line notation: ");
WriteVector(writer, rightPermutation);
WriteLine(writer);
Write(writer, "Canonical cycle notation: ");
WriteCycle(writer, rightPermutationCycle);
WriteLine(writer);
WriteLine(writer);
WriteLine(writer, "Result Permutation:");
Write(writer, "One-line notation: ");
WriteVector(writer, resultPermutation);
WriteLine(writer);
Write(writer, "Canonical cycle notation: ");
WriteCycle(writer, resultPermutationCycle);
WriteLine(writer);
}
}
static string CalculateExpression(string Expression)
{
while (Expression.Contains("(("))
{
int indexFirst = Expression.IndexOf("(("), indexLast = 0;
int counter = 2;
for (int i = indexFirst + 2; i < Expression.Length; i++)
{
if (Expression[i] == '(')
{
counter++;
}
else if (Expression[i] == ')')
{
counter--;
if (counter == 0)
{
indexLast = i;
break;
}
}
}
string temp = Expression.Substring(indexFirst + 1, (indexLast - 1) - (indexFirst + 1) + 1);
string newExpression = CalculateExpression(temp);
string tempExpression = "";
if (indexFirst != 0)
{
tempExpression += Expression.Substring(0, indexFirst);
}
tempExpression += newExpression;
if (indexLast != (Expression.Length - 1))
{
tempExpression += Expression.Substring(indexLast + 1, Expression.Length - 1 - (indexLast + 1) + 1);
}
Expression = tempExpression;
}
string[] expressions = Expression.Split('*');
string returnedExpression = "";
for (int i = 0; i < expressions.Length; i++)
{
if (expressions[i].Contains("^"))
{
expressions[i] = PowerOfPermutationString(expressions[i]);
}
}
if (expressions.Length > 1)
{
int[] returnedPermutation;
int[][] returnedPermutationCycle;
int[] permutation1 = ParsePermutation(expressions[0]);
int[] permutation2 = ParsePermutation(expressions[1]);
returnedPermutation = WithoutRepetition.CompositionOfPermutation(permutation1, permutation2);
for (int i = 2; i < expressions.Length; i++)
{
int[] permutation = ParsePermutation(expressions[i]);
returnedPermutation = WithoutRepetition.CompositionOfPermutation(returnedPermutation, permutation);
}
returnedPermutationCycle = WithoutRepetition.PermutationToCycle(returnedPermutation);
returnedExpression = CycleToString(returnedPermutationCycle);
}
else
{
returnedExpression = expressions[0];
}
return(returnedExpression);
}