lean4-htt/tests/lean/run/hmul2.lean
2022-05-07 10:32:55 -07:00

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@[defaultInstance]
instance [Mul α] : HMul α (Array α) (Array α) where
hMul a as := as.map (a * ·)
instance [Mul α] : Mul (Array α) where
mul as bs := (as.zip bs).map fun (a, b) => a * b
#eval 2 * #[3, 4, 5]
#eval (2:Nat) * #[3, 4, 5]
#check fun x => x * 2
#check fun y : Int => let x := 1; x * y
#check fun y : Int => let_delayed x := 1; x * y
def f1 (n : Nat) (i : Int) :=
i * n
def f2 (n : Nat) (i : Int) :=
n * i
def f3 (n : Nat) (i : Int) :=
n * (n * (n * (n * i)))
def f4 (n : Nat) (i : Int) :=
n + (n + (n * (n * i)))
def f5 (n : Nat) (i : Int) :=
n + (n + (n * (i, i).1))
def f6 (n : Nat) (i : Int) :=
let y := 2 * i
let x := y * n
n + x
def f7 (n : Nat) (i : Int) :=
n + (n * 2 * i)
def f8 (n : Nat) (i : Int) :=
n * 2 + (i * 1 * n * 2 * i)
def f9 [Mul α] (a : α) (as bs : Array α) : Array α :=
a * as * bs
def f10 (a : Int) (as bs : Array Int) : Array Int :=
2 * a * as * bs
def f11 (a : Int) (as bs : Array Int) : Array Int :=
3 * a * as * (2 * bs)
def f12 [Mul α] (as bs : Array α) : Array α :=
as.foldl (init := bs) fun bs a => a * bs