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creation of DualSimplex

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This commit is contained in:
Zastian Pretorius
2022-08-01 15:53:21 +01:00
parent 8847d71936
commit 782f31810c
8 changed files with 230 additions and 8 deletions
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6
Program.cs
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@@ -5,10 +5,12 @@ class lpr381
{
//simplex simplex = new simplex();
//simplex.simplexAlgo();
twoPhaseSimplex twoPhaseSimplex = new twoPhaseSimplex();
twoPhaseSimplex.twoPhaseSimplexAlgo();
//twoPhaseSimplex twoPhaseSimplex = new twoPhaseSimplex();
//twoPhaseSimplex.twoPhaseSimplexAlgo();
//chesssolver chesssolver = new chesssolver();
//chesssolver.chessAlgo();
dualSimplex dualSimplex = new dualSimplex();
dualSimplex.dualSimplexAlgo();
}
}

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

2
input.txt
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@@ -1,5 +1,5 @@
max +1 +1
+8 +4 <= 160
+8 +4 = 160
+4 +4 <= 100
+1 +0 <= 17
+1 +0 >= 5

2
obj/Debug/net6.0/lpr381.csproj.CoreCompileInputs.cache
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@@ -1 +1 @@
42cc27e0497d325b5a06d599f420fe32fe1e67ba
8c13023fa8aa1aee00b6cf6a6819800d58bb1521

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obj/Debug/net6.0/lpr381.dll
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obj/Debug/net6.0/lpr381.pdb
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obj/Debug/net6.0/ref/lpr381.dll
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3
twoPhaseSimplex.cs
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@@ -428,8 +428,5 @@ class twoPhaseSimplex
}
}
return table;
}
}