lean4-htt/library/Init/Data/Nat/Control.lean
Leonardo de Moura df8bbf5438 chore: remove Init.Control.Combinators
Reason: it contains a bunch of little functions that are supposed to
be defined in other modules.
2019-10-27 18:58:40 -07:00

42 lines
1.4 KiB
Text
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

/-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Control.Monad
import Init.Control.Alternative
import Init.Data.Nat.Basic
namespace Nat
universes u v
@[specialize] def forMAux {m} [Applicative m] (f : Nat → m Unit) (n : Nat) : Nat → m Unit
| 0 => pure ()
| i+1 => f (n-i-1) *> forMAux i
@[inline] def forM {m} [Applicative m] (n : Nat) (f : Nat → m Unit) : m Unit :=
forMAux f n n
@[specialize] def forRevMAux {m} [Applicative m] (f : Nat → m Unit) : Nat → m Unit
| 0 => pure ()
| i+1 => f i *> forRevMAux i
@[inline] def forRevM {m} [Applicative m] (n : Nat) (f : Nat → m Unit) : m Unit :=
forRevMAux f n
@[specialize] def foldMAux {α : Type u} {m : Type u → Type v} [Monad m] (f : Nat → α → m α) (n : Nat) : Nat → α → m α
| 0, a => pure a
| i+1, a => f (n-i-1) a >>= foldMAux i
@[inline] def foldM {α : Type u} {m : Type u → Type v} [Monad m] (f : Nat → α → m α) (a : α) (n : Nat) : m α :=
foldMAux f n n a
@[specialize] def foldRevMAux {α : Type u} {m : Type u → Type v} [Monad m] (f : Nat → α → m α) : Nat → α → m α
| 0, a => pure a
| i+1, a => f i a >>= foldRevMAux i
@[inline] def mfoldRev {α : Type u} {m : Type u → Type v} [Monad m] (f : Nat → α → m α) (a : α) (n : Nat) : m α :=
foldRevMAux f n a
end Nat