public void ContentAllNegative()
{
var p = new PolyI(-3, -6, -6);
var n = p.Content();
Assert.AreEqual(-3, n);
}
public void ContentWithZeros()
{
var p = new PolyI(2, 0, 4, 0, 2);
var n = p.Content();
Assert.AreEqual(2, n);
}
public void ContentAllPositive()
{
var p = new PolyI(3, 9, 6);
var n = p.Content();
Assert.AreEqual(3, n);
}
public void ContentMixed()
{
var p = new PolyI(3, -9, 6);
var n = p.Content();
Assert.AreEqual(3, n);
}
public void FactorsNoContent()
{
var p = new PolyI(2, 3).Factors().ToList();
Assert.AreEqual(1, p.Count);
Assert.AreEqual(new PolyI(2, 3), p[0]);
}
public void Derivative()
{
var p = new PolyI(5, -4, 3, -2, 1);
var d = p.Derivative();
Assert.AreEqual(new PolyI(-4, 6, -6, 4), d);
}
public void Evaluate()
{
var p = new PolyI(60, -37, -25, 1, 1);
var x = p.At(-7);
Assert.AreEqual(60 - 7 * (-37 - 7 * (-25 - 7 * (1 - 7))), x);
}
public void FactorWithMonomial()
{
var p = new PolyI(0, 2, 4).Factors().ToList();
Assert.AreEqual(2, p.Count);
Assert.AreEqual(new PolyI(0, 2), p[0]);
Assert.AreEqual(new PolyI(1, 2), p[1]);
}
public void Subtract()
{
var a = new PolyI(3, 1);
var b = new PolyI(-1, 1);
var c = new PolyI(4, 1);
var d = new PolyI(-5, 1);
var p = a * b - c * d;
Assert.AreEqual("17 + 3𝑛", p.ToString());
}
public void Multiply()
{
var a = new PolyI(3, 1);
var b = new PolyI(-1, 1);
var c = new PolyI(4, 1);
var d = new PolyI(-5, 1);
var p = a * b * c * d;
Assert.AreEqual("60 − 37𝑛 − 25𝑛² + 𝑛³ + 𝑛⁴", p.ToString());
}
public void DivNoRem()
{
var x = new PolyI(2, 1);
var y = new PolyI(1, -5, 3);
var p = x * y; // (2 + n)(1 - 5n + 3n^2) = 2 - 9n + n^2 + 3n^3
var d = p.DivRem(x, out var r);
Assert.AreEqual(y, d);
Assert.AreEqual(PolyI.Zero, r);
d = p.DivRem(y, out r);
Assert.AreEqual(x, d);
Assert.AreEqual(PolyI.Zero, r);
}
public void DivRem()
{
var x = new PolyI(2, 1);
var y = new PolyI(1, -5, 3);
var z = new PolyI(7);
var p = x * y + z; // (2 + n)(1 - 5n + 3n^2) + 7 = 9 - 9n + n^2 + 3n^3
var d = p.DivRem(x, out var r);
Assert.AreEqual(y, d);
Assert.AreEqual(z, r);
d = p.DivRem(y, out r);
Assert.AreEqual(x, d);
Assert.AreEqual(z, r);
}
public void PrimitivePart()
{
var p = new PolyI(3, 0, -6, 6).PrimitivePart();
Assert.AreEqual(new PolyI(1, 0, -2, 2), p);
}
public void Pow()
{
var p = new PolyI(-3, 1) ^ 7;
Assert.AreEqual(new PolyI(-2187, 5103, -5103, 2835, -945, 189, -21, 1), p);
}
