func TestSetUnion(t *testing.T) {
t.Parallel()
A := set.WithElements(1, 2, 3)
B := set.WithElements(4, 5, 6)
U := set.Union(A, B)
for i := 1; i < 7; i++ {
if !U.Contains(i) {
t.Fatalf("Union of %s and %s should contain %d", A, B, i)
}
}
if U.Cardinality() != 6 {
t.Fatalf("Expected cardinality of union of %s and %s to be 6", A, B)
}
U.Remove(1)
U.Remove(6)
if !A.Contains(1) || !B.Contains(6) {
t.Fatalf("Modifying the union set should not change the original set")
}
}
func main() {
s := set.New()
s.Add(1)
s.Add(2)
s.Add(3)
log.Printf("%s", s)
ranks := set.With([]set.Element{"2", "3", "4", "5", "6", "7", "8", "9", "10", "J", "Q", "K", "A"})
suits := set.With([]set.Element{"♠", "♥", "♦", "♣"})
deck := set.CartesianProduct(ranks, suits)
log.Printf("Deck: %s", deck)
log.Printf("Number of Cards: %d", deck.Cardinality())
log.Printf("Union of ranks and suits, %v", set.Union(ranks, suits))
log.Printf("Power set of {1, 2, 3}: %v", set.PowerSet(s))
}
// IndependentEvents determines whether A and B are independent
// under the distribution d.
//
// Equivalently: P(A, B) = P(A)P(B)
func IndependentEvents(d Distribution, A, B Event) bool {
return equiv(float64(ProbabilityOf(d, set.Union(A, B))), float64(ProbabilityOf(d, A)*ProbabilityOf(d, B)))
}
