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creation of DualSimplex
This commit is contained in:
Zastian Pretorius
223
dualSimplex.cs
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223
dualSimplex.cs
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using ConsoleTables;
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class dualSimplex
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{
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public void dualSimplexAlgo()
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{
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file file = new file();
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Tuple<List<zConstraints>, List<Constraints>> content = file.readFile();
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List<zConstraints> zConstraintsList = content.Item1;
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List<Constraints> constraintsList = content.Item2;
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// print constraintsList
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foreach (zConstraints constraints in zConstraintsList)
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{
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Console.WriteLine(constraints.minMax + " " + string.Join(" ", constraints.values));
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}
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foreach (Constraints constraints in constraintsList)
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{
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Console.WriteLine(constraints.sign + " " + string.Join(" ", constraints.values));
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}
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List<List<float>> table = new List<List<float>>();
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table.Add(zConstraintsList[0].values);
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// add all constraints in constraintsList to table
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foreach (Constraints constraints in constraintsList)
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{
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table.Add(constraints.values);
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}
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List<List<float>> newTable = new List<List<float>>();
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// add all rows in table to newTable
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foreach (List<float> row in table)
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{
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// add all columns in row to newTable without reference to table
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List<float> newRow = new List<float>();
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for (int i = 0; i < row.Count; i++)
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{
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newRow.Add(row[i]);
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}
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newTable.Add(newRow);
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}
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int varCount = newTable[0].Count;
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table = prepareTable(newTable, constraintsList);
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// print every row in table
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printTable(table, varCount);
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}
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List<List<float>> prepareTable(List<List<float>> table, List<Constraints> constraints)
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{
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List<List<float>> newTable = new List<List<float>>();
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foreach (List<float> row in table)
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{
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List<float> newRow = new List<float>();
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foreach (float value in row)
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{
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newRow.Add(value);
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}
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newTable.Add(newRow);
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}
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List<string> signs = new List<string>();
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foreach (Constraints constraint in constraints)
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{
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signs.Add(constraint.sign);
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}
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for (int i = 0; i < signs.Count ; i++)
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{
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table[0].Add(0);
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table[0].Add(0);
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// if sign[i] == "=" copy table[i] to table[i+1] without overwriting table[i+1]
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if (signs[i] == "=")
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{
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List<float> tempRow = new List<float>();
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foreach (float value in table[i+1])
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{
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tempRow.Add(value);
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}
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table.Add(tempRow);
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// move last row of table to table[i+2]
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for (int j = table.Count - 1; j > i+2; j--)
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{
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List<float> row = table[j];
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table[j] = table[j-1];
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table[j-1] = row;
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}
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signs.Add("2=");
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for (int j = signs.Count - 1; j > i + 1; j--)
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{
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string sign = signs[j];
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signs[j] = signs[j-1];
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signs[j-1] = sign;
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}
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newTable.Insert(i+1, newTable[i+1]);
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}
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if (signs[i] == ">=")
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{
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// multiply table[i+1] by -1
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for (int j = 0; j < table[i+1].Count; j++)
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{
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table[i+1][j] = table[i+1][j] * -1;
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}
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}
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// add 3 0s to each row for every column in table
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for (int j = 0; j < signs.Count ; j++)
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{
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if (signs[i] == ">=")
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{
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// make s = 1
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if (i == j)
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{
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table[i+1].Add(0);
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table[i+1].Add(1);
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}
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else
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{
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table[i+1].Add(0);
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table[i+1].Add(0);
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}
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}
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else if (signs[i] == "<=")
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{
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//make e = 1
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if (i == j)
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{
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table[i+1].Add(-1);
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table[i+1].Add(0);
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}
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else
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{
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table[i+1].Add(0);
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table[i+1].Add(0);
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}
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}
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else if (signs[i] == "=")
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{
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// make a = 1
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if (i == j)
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{
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table[i+1].Add(-1);
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table[i+1].Add(0);
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}
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else
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{
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table[i+1].Add(0);
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table[i+1].Add(0);
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}
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}
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else if (signs[i] == "2=")
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{
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// make a = 1
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if (i == j)
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{
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table[i+1].Add(0);
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table[i+1].Add(1);
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}
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else
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{
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table[i+1].Add(0);
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table[i+1].Add(0);
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}
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}
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}
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}
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table[0].Add(0);
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// remove intex newTable.Count-1 from table and place it in the back of table
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for (int i = 1; i < table.Count; i++)
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{
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table[i].RemoveAt(newTable[i].Count-1);
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if (signs[i-1] == ">=" || signs[i-1] == "2=")
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{
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table[i].Add(newTable[i][newTable[i].Count-1] * -1);
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}
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else
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{
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table[i].Add(newTable[i][newTable[i].Count-1]);
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}
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}
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// remove the value of newTable.Count-1 from table[1] and place it in the back of table[1]
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return table;
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}
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void printTable(List<List<float>> table, int varCount)
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{
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int count = 1;
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string[] headers = new string[table[0].Count];
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for (int i = 0; i < table[0].Count; i++)
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{
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if (i < varCount)
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{
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headers[i] = "x" + (i + 1);
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}
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else if (i < table[0].Count - 1)
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{
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headers[i] = "e" + (count);
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headers[i+1] = "s" + (count);
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i = i + 1;
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count++;
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}
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else
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{
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headers[i] = "rhs";
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}
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}
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var conTable = new ConsoleTable(headers);
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foreach (List<float> row in table)
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{
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// convert row to object array
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object[] rowArray = new object[row.Count];
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for (int i = 0; i < row.Count; i++)
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{
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rowArray[i] = row[i];
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}
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conTable.AddRow(rowArray);
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}
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conTable.Write(Format.Alternative);
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}
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}
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