public void ComputeRoots_OneRoot()
{
var qe = new QuadraticEquation(-4, 4, -1);
var actual = qe.ComputeRoots();
Assert.AreEqual(1, actual.Length);
Assert.AreEqual(0.5, actual[0]);
}
public void ComputeRoots_PerfectSquare()
{
var qe = new QuadraticEquation(1, 3, -4);
var actual = qe.ComputeRoots();
Assert.AreEqual(2, actual.Length);
Assert.AreEqual(1, actual[0]);
Assert.AreEqual(-4, actual[1]);
}
public void ComputeRoots_TwoRoots()
{
var qe = new QuadraticEquation(9, 3, -8);
var actual = qe.ComputeRoots();
Assert.AreEqual(2, actual.Length);
Assert.AreEqual( 0.79076, actual[0], 0.00001);
Assert.AreEqual(-1.12409, actual[1], 0.00001);
}
public void QuadraticEquation()
{
var eq = new QuadraticEquation("A".Parse(), "B".Parse(), "C".Parse());
var roots = eq.Solve();
var context = ImmutableContext.Empty
.RegisterValue("A".Parse(), 1)
.RegisterValue("B".Parse(), -2)
.RegisterValue("C".Parse(), -3);
Assert.AreEqual(3, roots.Item1.ToReal(context));
Assert.AreEqual(-1, roots.Item2.ToReal(context));
context = ImmutableContext.Empty
.RegisterValue("A".Parse(), 2)
.RegisterValue("B".Parse(), -4)
.RegisterValue("C".Parse(), -6);
Assert.AreEqual(3, roots.Item1.ToReal(context));
Assert.AreEqual(-1, roots.Item2.ToReal(context));
eq = new QuadraticEquation("X + 1".Parse(), "Y - 2".Parse(), "Z / 2".Parse());
roots = eq.Solve();
context = ImmutableContext.Empty
.RegisterValue("X".Parse(), 0)
.RegisterValue("Y".Parse(), 0)
.RegisterValue("Z".Parse(), -6);
Assert.AreEqual(3, roots.Item1.ToReal(context));
Assert.AreEqual(-1, roots.Item2.ToReal(context));
}
public void ComputeRoots_NoRoot()
{
var qe = new QuadraticEquation(1, 0, 0.5);
var actual = qe.ComputeRoots();
Assert.AreEqual(0, actual.Length);
}
