60 lines
1.1 KiB
Text
60 lines
1.1 KiB
Text
def f1 (x : Nat × Nat) : Nat :=
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match x with
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| { fst := x, snd := y } => x - y
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#eval f1 (20, 15)
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def g1 (h : Nat × Nat × Nat → Nat) : Nat :=
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h (1, 2, 3)
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def f2 (w : Nat) : Nat :=
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g1 fun (x, y, z) => x + y + z + w
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#eval f2 10
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def g2 (h : Nat × Nat → Nat × Nat → Nat) : Nat :=
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h (1, 2) (20, 40)
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def f3 (a : Nat) : Nat :=
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g2 fun (x, y) (z, w) => a*(y - x) + (w - z)
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#eval f3 100
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def f4 (x : Nat × Nat) : Nat :=
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let (a, b) := x;
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a + b
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#eval f4 (10, 20)
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def f5 (x y : Nat) : Nat :=
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let h : Nat → Nat → Nat
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| 0, b => b
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| a, b => a*b;
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h x y
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#eval f5 0 10
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#eval f5 20 10
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def f6 (x : Nat × Nat) : Nat :=
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match x with
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| { fst := x, .. } => x * 10
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#eval f6 (5, 20)
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def Vector (α : Type) (n : Nat) := { a : Array α // a.size = n }
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def mkVec {α : Type} (n : Nat) (a : α) : Vector α n :=
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⟨mkArray n a, Array.size_mkArray ..⟩
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structure S :=
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(n : Nat)
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(y : Vector Nat n)
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(z : Vector Nat n)
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(h : y = z)
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(m : { v : Nat // v = y.val.size })
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def f7 (s : S) : Nat :=
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match s with
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| { n := n, m := m, .. } => n + m.val
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#eval f7 { n := 10, y := mkVec 10 0, z := mkVec 10 0, h := rfl, m := ⟨10, rfl⟩ }
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