func TestClassNumber1(t *testing.T) {
classNumber1Nums := []int{-3, -4, -7, -8, -11, -19, -43, -67, -163}
classNumber1 := mathx.NewIntSet(classNumber1Nums)
for a := 1; a < 10; a++ {
for b := -10; b < 10; b++ {
for c := -10; c < 10; c++ {
p := poly.NewIntPolynomial64(int64(c), int64(b), int64(a))
if !p.IsIrreducible() {
continue
}
if Discriminant(p).Sign() > 0 {
continue
}
if !IsFundamentalDiscriminant(Discriminant(p)) {
continue
}
k := MakeNumberField(p)
if k.ClassNumber() == 1 && !classNumber1.Contains(int(Discriminant(p).Int64())) {
t.Fail()
}
}
}
}
}
func TestFundamentalDiscriminantsSmall(t *testing.T) {
fundamentals := []int{1, 5, 8, 12, 13, 17, 21, 24, 28, 29, 33, -3, -4, -7, -8, -11, -15, -19, -20, -23, -24, -31}
good := mathx.NewIntSet(fundamentals)
for d := -31; d <= 33; d++ {
a := IsFundamentalDiscriminant(mathx.NewInt(int64(d)))
b := good.Contains(d)
if a != b {
t.Errorf("Fundamental discriminant failed for ", d)
}
}
}