{-# LANGUAGE AllowAmbiguousTypes #-}
{-# LANGUAGE DataKinds #-}
{-# LANGUAGE DeriveAnyClass #-}
{-# LANGUAGE DeriveGeneric #-}
{-# LANGUAGE FlexibleContexts #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE OverloadedLists #-}
{-# LANGUAGE PolyKinds #-}
{-# LANGUAGE RankNTypes #-}
{-# LANGUAGE RecordWildCards #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TypeFamilies #-}
{-# LANGUAGE TypeOperators #-}
{-# LANGUAGE UndecidableInstances #-}
{-# LANGUAGE UndecidableSuperClasses #-}
{-# LANGUAGE NoStarIsType #-}
{-# OPTIONS_GHC -fconstraint-solver-iterations=0 #-}
{-# OPTIONS_GHC -fplugin GHC.TypeLits.Extra.Solver #-}
{-# OPTIONS_GHC -fplugin GHC.TypeLits.KnownNat.Solver #-}
{-# OPTIONS_GHC -fplugin GHC.TypeLits.Normalise #-}

module Torch.Typed.NN.Recurrent.Cell.GRU where

import Data.List
  ( foldl',
    scanl',
  )
import GHC.Generics
import GHC.TypeLits
import qualified Torch.DType as D
import qualified Torch.Device as D
import qualified Torch.NN as A
import Torch.Typed.Factories
import Torch.Typed.Functional hiding (linear)
import Torch.Typed.NN.Dropout
import Torch.Typed.Parameter
import Torch.Typed.Tensor

-- | A specification for a gated recurrent unit (GRU) cell.
data
  GRUCellSpec
    (inputDim :: Nat)
    (hiddenDim :: Nat)
    (dtype :: D.DType)
    (device :: (D.DeviceType, Nat))
  = -- | Weights and biases are drawn from the standard normal distibution (having mean 0 and variance 1)
    GRUCellSpec
  deriving (Int -> GRUCellSpec inputDim hiddenDim dtype device -> ShowS
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GRUCellSpec inputDim hiddenDim dtype device -> String
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maxBound :: GRUCellSpec inputDim hiddenDim dtype device
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-- | A gated recurrent unit (GRU) cell.
data
  GRUCell
    (inputDim :: Nat)
    (hiddenDim :: Nat)
    (dtype :: D.DType)
    (device :: (D.DeviceType, Nat)) = GRUCell
  { -- | input-to-hidden weights
    forall (inputDim :: Nat) (hiddenDim :: Nat) (dtype :: DType)
       (device :: (DeviceType, Nat)).
GRUCell inputDim hiddenDim dtype device
-> Parameter device dtype '[3 * hiddenDim, inputDim]
gruCell_w_ih :: Parameter device dtype '[3 * hiddenDim, inputDim],
    -- | hidden-to-hidden weights
    forall (inputDim :: Nat) (hiddenDim :: Nat) (dtype :: DType)
       (device :: (DeviceType, Nat)).
GRUCell inputDim hiddenDim dtype device
-> Parameter device dtype '[3 * hiddenDim, hiddenDim]
gruCell_w_hh :: Parameter device dtype '[3 * hiddenDim, hiddenDim],
    -- | input-to-hidden bias
    forall (inputDim :: Nat) (hiddenDim :: Nat) (dtype :: DType)
       (device :: (DeviceType, Nat)).
GRUCell inputDim hiddenDim dtype device
-> Parameter device dtype '[3 * hiddenDim]
gruCell_b_ih :: Parameter device dtype '[3 * hiddenDim],
    -- | hidden-to-hidden bias
    forall (inputDim :: Nat) (hiddenDim :: Nat) (dtype :: DType)
       (device :: (DeviceType, Nat)).
GRUCell inputDim hiddenDim dtype device
-> Parameter device dtype '[3 * hiddenDim]
gruCell_b_hh :: Parameter device dtype '[3 * hiddenDim]
  }
  deriving (Int -> GRUCell inputDim hiddenDim dtype device -> ShowS
[GRUCell inputDim hiddenDim dtype device] -> ShowS
GRUCell inputDim hiddenDim dtype device -> String
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instance
  ( KnownDevice device,
    KnownDType dtype,
    KnownNat inputDim,
    KnownNat hiddenDim,
    RandDTypeIsValid device dtype
  ) =>
  A.Randomizable
    (GRUCellSpec inputDim hiddenDim dtype device)
    (GRUCell inputDim hiddenDim dtype device)
  where
  sample :: GRUCellSpec inputDim hiddenDim dtype device
-> IO (GRUCell inputDim hiddenDim dtype device)
sample GRUCellSpec inputDim hiddenDim dtype device
GRUCellSpec =
    Parameter device dtype '[3 * hiddenDim, inputDim]
-> Parameter device dtype '[3 * hiddenDim, hiddenDim]
-> Parameter device dtype '[3 * hiddenDim]
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forall (f :: Type -> Type) a b. Functor f => (a -> b) -> f a -> f b
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makeIndependent (Tensor device dtype '[3 * hiddenDim, inputDim]
 -> IO (Parameter device dtype '[3 * hiddenDim, inputDim]))
-> IO (Tensor device dtype '[3 * hiddenDim, inputDim])
-> IO (Parameter device dtype '[3 * hiddenDim, inputDim])
forall (m :: Type -> Type) a b. Monad m => (a -> m b) -> m a -> m b
=<< IO (Tensor device dtype '[3 * hiddenDim, inputDim])
forall (shape :: [Nat]) (dtype :: DType)
       (device :: (DeviceType, Nat)).
(TensorOptions shape dtype device,
 RandDTypeIsValid device dtype) =>
IO (Tensor device dtype shape)
randn)
      IO
  (Parameter device dtype '[3 * hiddenDim, hiddenDim]
   -> Parameter device dtype '[3 * hiddenDim]
   -> Parameter device dtype '[3 * hiddenDim]
   -> GRUCell inputDim hiddenDim dtype device)
-> IO (Parameter device dtype '[3 * hiddenDim, hiddenDim])
-> IO
     (Parameter device dtype '[3 * hiddenDim]
      -> Parameter device dtype '[3 * hiddenDim]
      -> GRUCell inputDim hiddenDim dtype device)
forall a b. IO (a -> b) -> IO a -> IO b
forall (f :: Type -> Type) a b.
Applicative f =>
f (a -> b) -> f a -> f b
<*> (Tensor device dtype '[3 * hiddenDim, hiddenDim]
-> IO (Parameter device dtype '[3 * hiddenDim, hiddenDim])
forall (shape :: [Nat]) (dtype :: DType)
       (device :: (DeviceType, Nat)).
Tensor device dtype shape -> IO (Parameter device dtype shape)
makeIndependent (Tensor device dtype '[3 * hiddenDim, hiddenDim]
 -> IO (Parameter device dtype '[3 * hiddenDim, hiddenDim]))
-> IO (Tensor device dtype '[3 * hiddenDim, hiddenDim])
-> IO (Parameter device dtype '[3 * hiddenDim, hiddenDim])
forall (m :: Type -> Type) a b. Monad m => (a -> m b) -> m a -> m b
=<< IO (Tensor device dtype '[3 * hiddenDim, hiddenDim])
forall (shape :: [Nat]) (dtype :: DType)
       (device :: (DeviceType, Nat)).
(TensorOptions shape dtype device,
 RandDTypeIsValid device dtype) =>
IO (Tensor device dtype shape)
randn)
      IO
  (Parameter device dtype '[3 * hiddenDim]
   -> Parameter device dtype '[3 * hiddenDim]
   -> GRUCell inputDim hiddenDim dtype device)
-> IO (Parameter device dtype '[3 * hiddenDim])
-> IO
     (Parameter device dtype '[3 * hiddenDim]
      -> GRUCell inputDim hiddenDim dtype device)
forall a b. IO (a -> b) -> IO a -> IO b
forall (f :: Type -> Type) a b.
Applicative f =>
f (a -> b) -> f a -> f b
<*> (Tensor device dtype '[3 * hiddenDim]
-> IO (Parameter device dtype '[3 * hiddenDim])
forall (shape :: [Nat]) (dtype :: DType)
       (device :: (DeviceType, Nat)).
Tensor device dtype shape -> IO (Parameter device dtype shape)
makeIndependent (Tensor device dtype '[3 * hiddenDim]
 -> IO (Parameter device dtype '[3 * hiddenDim]))
-> IO (Tensor device dtype '[3 * hiddenDim])
-> IO (Parameter device dtype '[3 * hiddenDim])
forall (m :: Type -> Type) a b. Monad m => (a -> m b) -> m a -> m b
=<< IO (Tensor device dtype '[3 * hiddenDim])
forall (shape :: [Nat]) (dtype :: DType)
       (device :: (DeviceType, Nat)).
(TensorOptions shape dtype device,
 RandDTypeIsValid device dtype) =>
IO (Tensor device dtype shape)
randn)
      IO
  (Parameter device dtype '[3 * hiddenDim]
   -> GRUCell inputDim hiddenDim dtype device)
-> IO (Parameter device dtype '[3 * hiddenDim])
-> IO (GRUCell inputDim hiddenDim dtype device)
forall a b. IO (a -> b) -> IO a -> IO b
forall (f :: Type -> Type) a b.
Applicative f =>
f (a -> b) -> f a -> f b
<*> (Tensor device dtype '[3 * hiddenDim]
-> IO (Parameter device dtype '[3 * hiddenDim])
forall (shape :: [Nat]) (dtype :: DType)
       (device :: (DeviceType, Nat)).
Tensor device dtype shape -> IO (Parameter device dtype shape)
makeIndependent (Tensor device dtype '[3 * hiddenDim]
 -> IO (Parameter device dtype '[3 * hiddenDim]))
-> IO (Tensor device dtype '[3 * hiddenDim])
-> IO (Parameter device dtype '[3 * hiddenDim])
forall (m :: Type -> Type) a b. Monad m => (a -> m b) -> m a -> m b
=<< IO (Tensor device dtype '[3 * hiddenDim])
forall (shape :: [Nat]) (dtype :: DType)
       (device :: (DeviceType, Nat)).
(TensorOptions shape dtype device,
 RandDTypeIsValid device dtype) =>
IO (Tensor device dtype shape)
randn)

-- | A single recurrent step of a `GRUCell`
gruCellForward ::
  forall inputDim hiddenDim batchSize dtype device.
  ( KnownDType dtype,
    KnownNat inputDim,
    KnownNat hiddenDim,
    KnownNat batchSize
  ) =>
  -- | The cell
  GRUCell inputDim hiddenDim dtype device ->
  -- | The current Hidden state
  Tensor device dtype '[batchSize, hiddenDim] ->
  -- | The input
  Tensor device dtype '[batchSize, inputDim] ->
  -- | The subsequent Hidden state
  Tensor device dtype '[batchSize, hiddenDim]
gruCellForward :: forall (inputDim :: Nat) (hiddenDim :: Nat) (batchSize :: Nat)
       (dtype :: DType) (device :: (DeviceType, Nat)).
(KnownDType dtype, KnownNat inputDim, KnownNat hiddenDim,
 KnownNat batchSize) =>
GRUCell inputDim hiddenDim dtype device
-> Tensor device dtype '[batchSize, hiddenDim]
-> Tensor device dtype '[batchSize, inputDim]
-> Tensor device dtype '[batchSize, hiddenDim]
gruCellForward GRUCell {Parameter device dtype '[3 * hiddenDim, inputDim]
Parameter device dtype '[3 * hiddenDim, hiddenDim]
Parameter device dtype '[3 * hiddenDim]
gruCell_w_ih :: forall (inputDim :: Nat) (hiddenDim :: Nat) (dtype :: DType)
       (device :: (DeviceType, Nat)).
GRUCell inputDim hiddenDim dtype device
-> Parameter device dtype '[3 * hiddenDim, inputDim]
gruCell_w_hh :: forall (inputDim :: Nat) (hiddenDim :: Nat) (dtype :: DType)
       (device :: (DeviceType, Nat)).
GRUCell inputDim hiddenDim dtype device
-> Parameter device dtype '[3 * hiddenDim, hiddenDim]
gruCell_b_ih :: forall (inputDim :: Nat) (hiddenDim :: Nat) (dtype :: DType)
       (device :: (DeviceType, Nat)).
GRUCell inputDim hiddenDim dtype device
-> Parameter device dtype '[3 * hiddenDim]
gruCell_b_hh :: forall (inputDim :: Nat) (hiddenDim :: Nat) (dtype :: DType)
       (device :: (DeviceType, Nat)).
GRUCell inputDim hiddenDim dtype device
-> Parameter device dtype '[3 * hiddenDim]
gruCell_w_ih :: Parameter device dtype '[3 * hiddenDim, inputDim]
gruCell_w_hh :: Parameter device dtype '[3 * hiddenDim, hiddenDim]
gruCell_b_ih :: Parameter device dtype '[3 * hiddenDim]
gruCell_b_hh :: Parameter device dtype '[3 * hiddenDim]
..} =
  Tensor device dtype '[3 * hiddenDim, inputDim]
-> Tensor device dtype '[3 * hiddenDim, hiddenDim]
-> Tensor device dtype '[3 * hiddenDim]
-> Tensor device dtype '[3 * hiddenDim]
-> Tensor device dtype '[batchSize, hiddenDim]
-> Tensor device dtype '[batchSize, inputDim]
-> Tensor device dtype '[batchSize, hiddenDim]
forall (inputSize :: Nat) (hiddenSize :: Nat) (batchSize :: Nat)
       (dtype :: DType) (device :: (DeviceType, Nat)).
Tensor device dtype '[3 * hiddenSize, inputSize]
-> Tensor device dtype '[3 * hiddenSize, hiddenSize]
-> Tensor device dtype '[3 * hiddenSize]
-> Tensor device dtype '[3 * hiddenSize]
-> Tensor device dtype '[batchSize, hiddenSize]
-> Tensor device dtype '[batchSize, inputSize]
-> Tensor device dtype '[batchSize, hiddenSize]
gruCell
    (Parameter device dtype '[3 * hiddenDim, inputDim]
-> Tensor device dtype '[3 * hiddenDim, inputDim]
forall (shape :: [Nat]) (dtype :: DType)
       (device :: (DeviceType, Nat)).
Parameter device dtype shape -> Tensor device dtype shape
toDependent Parameter device dtype '[3 * hiddenDim, inputDim]
gruCell_w_ih)
    (Parameter device dtype '[3 * hiddenDim, hiddenDim]
-> Tensor device dtype '[3 * hiddenDim, hiddenDim]
forall (shape :: [Nat]) (dtype :: DType)
       (device :: (DeviceType, Nat)).
Parameter device dtype shape -> Tensor device dtype shape
toDependent Parameter device dtype '[3 * hiddenDim, hiddenDim]
gruCell_w_hh)
    (Parameter device dtype '[3 * hiddenDim]
-> Tensor device dtype '[3 * hiddenDim]
forall (shape :: [Nat]) (dtype :: DType)
       (device :: (DeviceType, Nat)).
Parameter device dtype shape -> Tensor device dtype shape
toDependent Parameter device dtype '[3 * hiddenDim]
gruCell_b_ih)
    (Parameter device dtype '[3 * hiddenDim]
-> Tensor device dtype '[3 * hiddenDim]
forall (shape :: [Nat]) (dtype :: DType)
       (device :: (DeviceType, Nat)).
Parameter device dtype shape -> Tensor device dtype shape
toDependent Parameter device dtype '[3 * hiddenDim]
gruCell_b_hh)

-- | foldl' for lists of tensors unsing a `GRUCell`
gruFold ::
  forall inputDim hiddenDim batchSize dtype device.
  ( KnownDType dtype,
    KnownNat inputDim,
    KnownNat hiddenDim,
    KnownNat batchSize
  ) =>
  GRUCell inputDim hiddenDim dtype device ->
  -- | The initial Hidden state
  Tensor device dtype '[batchSize, hiddenDim] ->
  -- | The list of inputs
  [Tensor device dtype '[batchSize, inputDim]] ->
  -- | The final Hidden state
  Tensor device dtype '[batchSize, hiddenDim]
gruFold :: forall (inputDim :: Nat) (hiddenDim :: Nat) (batchSize :: Nat)
       (dtype :: DType) (device :: (DeviceType, Nat)).
(KnownDType dtype, KnownNat inputDim, KnownNat hiddenDim,
 KnownNat batchSize) =>
GRUCell inputDim hiddenDim dtype device
-> Tensor device dtype '[batchSize, hiddenDim]
-> [Tensor device dtype '[batchSize, inputDim]]
-> Tensor device dtype '[batchSize, hiddenDim]
gruFold GRUCell inputDim hiddenDim dtype device
cell = (Tensor device dtype '[batchSize, hiddenDim]
 -> Tensor device dtype '[batchSize, inputDim]
 -> Tensor device dtype '[batchSize, hiddenDim])
-> Tensor device dtype '[batchSize, hiddenDim]
-> [Tensor device dtype '[batchSize, inputDim]]
-> Tensor device dtype '[batchSize, hiddenDim]
forall b a. (b -> a -> b) -> b -> [a] -> b
forall (t :: Type -> Type) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' (GRUCell inputDim hiddenDim dtype device
-> Tensor device dtype '[batchSize, hiddenDim]
-> Tensor device dtype '[batchSize, inputDim]
-> Tensor device dtype '[batchSize, hiddenDim]
forall (inputDim :: Nat) (hiddenDim :: Nat) (batchSize :: Nat)
       (dtype :: DType) (device :: (DeviceType, Nat)).
(KnownDType dtype, KnownNat inputDim, KnownNat hiddenDim,
 KnownNat batchSize) =>
GRUCell inputDim hiddenDim dtype device
-> Tensor device dtype '[batchSize, hiddenDim]
-> Tensor device dtype '[batchSize, inputDim]
-> Tensor device dtype '[batchSize, hiddenDim]
gruCellForward GRUCell inputDim hiddenDim dtype device
cell)

-- | scanl' for lists of tensors unsing a `GRUCell`
gruCellScan ::
  forall inputDim hiddenDim batchSize dtype device.
  ( KnownDType dtype,
    KnownNat inputDim,
    KnownNat hiddenDim,
    KnownNat batchSize
  ) =>
  GRUCell inputDim hiddenDim dtype device ->
  -- | The initial Hidden state
  Tensor device dtype '[batchSize, hiddenDim] ->
  -- | The list of inputs
  [Tensor device dtype '[batchSize, inputDim]] ->
  -- | All subsequent Hidden states
  [Tensor device dtype '[batchSize, hiddenDim]]
gruCellScan :: forall (inputDim :: Nat) (hiddenDim :: Nat) (batchSize :: Nat)
       (dtype :: DType) (device :: (DeviceType, Nat)).
(KnownDType dtype, KnownNat inputDim, KnownNat hiddenDim,
 KnownNat batchSize) =>
GRUCell inputDim hiddenDim dtype device
-> Tensor device dtype '[batchSize, hiddenDim]
-> [Tensor device dtype '[batchSize, inputDim]]
-> [Tensor device dtype '[batchSize, hiddenDim]]
gruCellScan GRUCell inputDim hiddenDim dtype device
cell = (Tensor device dtype '[batchSize, hiddenDim]
 -> Tensor device dtype '[batchSize, inputDim]
 -> Tensor device dtype '[batchSize, hiddenDim])
-> Tensor device dtype '[batchSize, hiddenDim]
-> [Tensor device dtype '[batchSize, inputDim]]
-> [Tensor device dtype '[batchSize, hiddenDim]]
forall b a. (b -> a -> b) -> b -> [a] -> [b]
scanl' (GRUCell inputDim hiddenDim dtype device
-> Tensor device dtype '[batchSize, hiddenDim]
-> Tensor device dtype '[batchSize, inputDim]
-> Tensor device dtype '[batchSize, hiddenDim]
forall (inputDim :: Nat) (hiddenDim :: Nat) (batchSize :: Nat)
       (dtype :: DType) (device :: (DeviceType, Nat)).
(KnownDType dtype, KnownNat inputDim, KnownNat hiddenDim,
 KnownNat batchSize) =>
GRUCell inputDim hiddenDim dtype device
-> Tensor device dtype '[batchSize, hiddenDim]
-> Tensor device dtype '[batchSize, inputDim]
-> Tensor device dtype '[batchSize, hiddenDim]
gruCellForward GRUCell inputDim hiddenDim dtype device
cell)