public void TestNegation()
{
var literalFormulas = new IFormula[]
{
new LiteralFormula(0),
new LiteralFormula(1),
new NegateFormula(new LiteralFormula(2))
};
var formula = new LogicalProductFormula(literalFormulas);
var conf1 = 1L | (1L << 1) | (1L << 2);
var conf2 = 1L | (1L << 1);
var conf3 = 1L;
var conf4 = 0;
Assert.IsFalse(formula.GetValue(conf1));
Assert.IsTrue(formula.GetValue(conf2));
Assert.IsFalse(formula.GetValue(conf3));
Assert.IsFalse(formula.GetValue(conf4));
}
public Instance GetInstance(int variableCount)
{
var formula = new LogicalProductFormula(new List <IFormula>());
var productLenth = rand.Next(MIN_PRODUCT_LENGTH, MAX_PRODUCT_LENGTH + 1);
for (var i = 0; i < productLenth; i++)
{
var sumFormula = new LogicalSumFormula(new List <IFormula>());
formula.Formulas.Add(sumFormula);
var sumLength = rand.Next(MIN_SUM_LENGTH, MAX_SUM_LENGTH + 1);
for (var j = 0; j < sumLength; j++)
{
var variableIndex = rand.Next(variableCount);
var literalFormula = new LiteralFormula(variableIndex);
if (rand.Next(2) == 0)
{
sumFormula.Formulas.Add(literalFormula);
}
else
{
sumFormula.Formulas.Add(new NegateFormula(literalFormula));
}
}
}
var instance = new Instance
{
Formula = formula,
Weights = Enumerable.Range(0, variableCount).Select(x => rand.Next(MIN_WEIGHT, MAX_WEIGHT + 1)).ToArray()
};
return(instance);
}
public void TestBrutteForce()
{
// n = 4
// F = (x0 + x2' + x3).(x0' + x1 + x2').(x2 + x3).(x0 + x1 + x2' + x3').(x1' + x2).(x2' + x3')
// W = (2, 4, 1, 6)
// expected solution: {1, 0, 0, 1}, weight: 8
var formula = new LogicalProductFormula(new IFormula[]
{
// (x0 + x2' + x3)
new LogicalSumFormula(new IFormula[]
{
new LiteralFormula(0),
new NegateFormula(new LiteralFormula(2)),
new LiteralFormula(3)
}),
// (x0' + x1 + x2')
new LogicalSumFormula(new IFormula[]
{
new NegateFormula(new LiteralFormula(0)),
new LiteralFormula(1),
new NegateFormula(new LiteralFormula(2)),
}),
// (x2 + x3)
new LogicalSumFormula(new IFormula[]
{
new LiteralFormula(2),
new LiteralFormula(3)
}),
// (x0 + x1 + x2' + x3')
new LogicalSumFormula(new IFormula[]
{
new LiteralFormula(0),
new LiteralFormula(1),
new NegateFormula(new LiteralFormula(2)),
new NegateFormula(new LiteralFormula(3)),
}),
// (x1' + x2)
new LogicalSumFormula(new IFormula[]
{
new NegateFormula(new LiteralFormula(1)),
new LiteralFormula(2)
}),
// (x2' + x3')
new LogicalSumFormula(new IFormula[]
{
new NegateFormula(new LiteralFormula(2)),
new NegateFormula(new LiteralFormula(3))
})
});
Console.WriteLine(formula);
var instance = new Instance
{
Formula = formula,
Weights = new [] { 2, 4, 1, 6 }
};
var solver = new BrutteForceSolver();
var res = solver.Solve(instance);
var expectedConfiguration = 1L | (1L << 3);
Assert.AreEqual(expectedConfiguration, res.Configuration);
Assert.AreEqual(8, res.Weight);
}
