/**
 * @file methods/ann/layer/multihead_attention.hpp
 * @author Mrityunjay Tripathi
 * @author Adam Kropp
 *
 * Definition of the MultiheadAttention class.
 *
 * @code
 * @article{NIPS'17,
 *   author  = {Ashish Vaswani, Llion Jones, Noam Shazeer, Niki Parmar,
 *              Aidan N. Gomez, Jakob Uszkoreit, Łukasz Kaiser,
 *              Illia Polosukhin},
 *   title   = {Attention Is All You Need},
 *   year    = {2017},
 *   url     = {http://arxiv.org/abs/1706.03762v5}
 * }
 * @endcode
 *
 * mlpack is free software; you may redistribute it and/or modify it under the
 * terms of the 3-clause BSD license.  You should have received a copy of the
 * 3-clause BSD license along with mlpack.  If not, see
 * http://www.opensource.org/licenses/BSD-3-Clause for more information.
 */

#ifndef MLPACK_METHODS_ANN_LAYER_MULTIHEAD_ATTENTION_HPP
#define MLPACK_METHODS_ANN_LAYER_MULTIHEAD_ATTENTION_HPP

#include <mlpack/prereqs.hpp>
#include <mlpack/methods/ann/layer/softmax.hpp>
#include <mlpack/methods/ann/layer/dropout.hpp>
#include <mlpack/methods/ann/init_rules/glorot_init.hpp>
#include <mlpack/methods/ann/regularizer/no_regularizer.hpp>

namespace mlpack {

/**
 * Multihead Attention allows the model to jointly attend to information from
 * different representation subspaces at different positions. With a single
 * attention head, averaging inhibits this. [arxiv.org:1706.03762v5]
 *
 * The MultiheadAttention class takes concatenated form of query, key and value.
 * The query, key and value are concatenated into single matrix and fed to the
 * Forward function as input.
 *
 * The query, key and value are matrices of shapes
 * `(embedDim * tgtSeqLen, batchSize)`, `(embedDim * srcSeqLen, batchSize)`
 * and `(embedDim * srcSeqLen, batchSize)` respectively. The output is a matrix
 * of shape `(embedDim * tgtSeqLen, batchSize)`. The embeddings are stored
 * consequently.
 *
 * The input to this layer is expected to be a sequence of embedding vectors.
 * The embedding size is inferred from inputDimensions[0], and the source
 * sequence length is inferred from inputDimensions[1].  If there are more than
 * 2 dimensions, they are flattened into the source sequence length.  If
 * selfAttention is true, then query, key, and value are all the same, so the
 * input data should be of size [embedDim * seqLen, batchSize].  Otherwise,
 * the input data should be of size
 * [embedDim * (2 * srcSeqLen + tgtSeqLen), batchSize].  The
 * output data will always be of size (embedDim * tgtSeqLen, batchSize)
 *
 * @tparam MatType Type of the input/output data (arma::colvec, arma::mat,
 *         arma::sp_mat or arma::cube).
 * @tparam RegularizerType Type of the regularizer to be used.
 */
template <
    typename MatType = arma::mat,
    typename RegularizerType = NoRegularizer
>
class MultiheadAttentionType : public Layer<MatType>
{
 public:
  /**
   * Default constructor.
   */
  MultiheadAttentionType();

  /**
   * Create the MultiheadAttention object using the specified modules.
   * The attnMask and keyPaddingMask arguments are defined as a mask
   * 0 passes values and -inf masks them, as in the original paper.
   *
   * @param tgtSeqLen Target sequence length.
   * @param numHeads Number of parallel attention heads.
   * @param attnMask Two dimensional Attention Mask.  Takes the values [-Inf, 0]
   * @param keyPaddingMask Key Padding Mask.  Takes the values [-Inf, 0]
   * @param selfAttention Use self-attention; source key, query, and value all
   *     come from the same inputs
   */
  MultiheadAttentionType(const size_t tgtSeqLen,
                         const size_t numHeads,
                         const MatType& attnMask = MatType(),
                         const MatType& keyPaddingMask = MatType(),
                         const bool selfAttention = false);

  //! Clone the MultiheadAttentionType object. This handles polymorphism
  //! correctly.
  MultiheadAttentionType* Clone() const override
  {
    return new MultiheadAttentionType(*this);
  }

  /**
   * Reset the layer parameters.
   */
  void SetWeights(const MatType& weightsIn) override;

  /**
   * Ordinary feed forward pass of a neural network, evaluating the function
   * f(x) by propagating the activity forward through f.
   *
   * @param input The query matrix.
   * @param output Resulting output activation.
   */
  void Forward(const MatType& input, MatType& output) override;

  /**
   * Ordinary feed backward pass of a neural network, calculating the function
   * f(x) by propagating x backwards trough f. Using the results from the feed
   * forward pass.
   *
   * @param input The input data (x) given to the forward pass.
   * @param output The propagated data (f(x)) resulting from Forward()
   * @param gy The backpropagated error.
   * @param g The calculated gradient.
   */
  void Backward(const MatType& /* input */,
                const MatType& output,
                const MatType& gy,
                MatType& g) override;

  /**
   * Calculate the gradient using the output delta and the input activation.
   *
   * @param input The input data used for evaluating specified function.
   * @param error The calculated error.
   * @param gradient The calculated gradient.
   */
  void Gradient(const MatType& input,
                const MatType& error,
                MatType& gradient) override;

  //! Get the size of the weights.
  size_t WeightSize() const override { return 4 * (embedDim + 1) * embedDim; }

  /**
   * Serialize the layer.
   */
  template<typename Archive>
  void serialize(Archive& ar, const uint32_t /* version */);

  //! Get the parameters.
  MatType const& Parameters() const override { return weights; }
  //! Modify the parameters.
  MatType& Parameters() override { return weights; }

  //! Get the target sequence length.
  size_t TgtSeqLen() const { return tgtSeqLen; }
  //! Modify the target sequence length.
  size_t& TgtSeqLen() { return tgtSeqLen; }

  //! Get the source sequence length.
  size_t SrcSeqLen() const { return srcSeqLen; }
  //! Modify the source sequence length.
  size_t& SrcSeqLen() { return srcSeqLen; }

  //! Get the embedding dimension.
  size_t EmbedDim() const { return embedDim; }
  //! Modify the embedding dimension.
  size_t& EmbedDim() { return embedDim; }

  //! Get the number of attention heads.
  size_t NumHeads() const { return numHeads; }
  //! Modify the number of attention heads.
  size_t& NumHeads() { return numHeads; }

  //! Get the two dimensional Attention Mask.  Contains values 0 or 1.
  MatType const& AttentionMask() const { return attnMask; }
  //! Modify the two dimensional Attention Mask.  Should take values 0 or 1.
  MatType& AttentionMask() { return attnMask; }

  //! Get Key Padding Mask.  Contains values 0 or 1.
  MatType const& KeyPaddingMask() const { return keyPaddingMask; }
  //! Modify the Key Padding Mask.  Should take values 0 or 1.
  MatType& KeyPaddingMask() { return keyPaddingMask; }

  //! Get whether or not self-attention is used (source key, value, and query all
  //! come from the same input).
  bool SelfAttention() const { return selfAttention; }
  //! Modify whether or not self-attention is used (source key, value, and query
  //! all come from the same input).
  bool& SelfAttention() { return selfAttention; }

  void ComputeOutputDimensions() override
  {
    if (this->inputDimensions.size() < 2)
    {
      Log::Fatal << "Must have at least two dimensions for MultiHeadAttention: "
          << " [EmbeddingDim,SequenceLen]" << std::endl;
    }
    embedDim = this->inputDimensions[0];
    if (selfAttention)
    {
      // for selfAttention, query, key, and value
      // all come from the same values
      // also, srcSeqLen must == tgtSeqLen
      srcSeqLen = this->inputDimensions[1];
      for (size_t i = 2; i < this->inputDimensions.size(); i++)
      {
        srcSeqLen *= this->inputDimensions[i];
      }
      if (srcSeqLen != tgtSeqLen)
      {
        Log::Fatal << "If using selfAttention, srcSeqLen (" << srcSeqLen
            << " must equal tgtSeqLen " << tgtSeqLen << ")!" << std::endl;
      }
    }
    else
    {
      // if we are not using self attention (where query == key == value),
      // then the source sequence needs have
      // query = tgtSeqLen
      // key = srcSeqLen
      // value = srcSeqLen
      size_t len = this->inputDimensions[1];
      for (size_t i = 2; i < this->inputDimensions.size(); i++)
      {
        len *= this->inputDimensions[i];
      }
      if ((len - tgtSeqLen) % 2 != 0)
      {
        Log::Fatal << "input dimension 1 is invalid." << std::endl;
      }
      srcSeqLen = (len - tgtSeqLen) / 2;
    }
    if (embedDim % numHeads != 0)
    {
      Log::Fatal << "Embedding dimension must be divisible by number of "
          << "attention heads." << std::endl;
    }

    headDim = embedDim / numHeads;

    // This returns the output as a 2-dimensional (embedDim * tgtSeqLen)
    // matrix.
    this->outputDimensions = std::vector<size_t>(this->inputDimensions.size(),
        1);
    this->outputDimensions[0] = embedDim;
    this->outputDimensions[1] = tgtSeqLen;
    for (size_t i = 2; i < this->outputDimensions.size(); i++)
    {
      this->outputDimensions[i] = this->inputDimensions[i];
      if (this->outputDimensions[1] % this->inputDimensions[i] != 0)
      {
        Log::Fatal << "tgtSeqLen " << tgtSeqLen << " not divisible by extra "
            << "dimension " << this->inputDimensions[i] << std::endl;
      }
      this->outputDimensions[1] /= this->inputDimensions[i];
    }
  }

  size_t InputShape() const
  {
    return embedDim * (tgtSeqLen + 2 * srcSeqLen);
  }

 private:
  //! Element Type of the output.
  typedef typename MatType::elem_type ElemType;

  //! Target sequence length.
  size_t tgtSeqLen;

  //! Source sequence length.
  size_t srcSeqLen;

  //! Locally-stored dimensionality of each embedding vector.
  size_t embedDim;

  //! Locally-stored number of parallel attention heads.
  size_t numHeads;

  //! Dimensionality of each head.
  size_t headDim;

  //! Two dimensional Attention Mask of shape (tgtSeqLen, srcSeqLen).  Takes
  //! the values [-Inf, 0]
  MatType attnMask;

  //! Key Padding Mask.  Takes the values [-Inf, 0]
  MatType keyPaddingMask;

  //! Whether or not self-attention is used (source key, value, and query all
  //! come from the same input).
  bool selfAttention;

  //! Locally-stored weight matrix associated with query.
  MatType queryWt;

  //! Locally-stored weight matrix associated with key.
  MatType keyWt;

  //! Locally-stored weight matrix associated with value.
  MatType valueWt;

  //! Locally-stored weight matrix associated with attnWt.
  MatType outWt;

  //! Locally-stored bias associated with query.
  MatType qBias;

  //! Locally-stored bias associated with key.
  MatType kBias;

  //! Locall-stored bias associated with value.
  MatType vBias;

  //! Locally-stored bias associated with attnWt.
  MatType outBias;

  //! Locally-stored weights parameter.
  MatType weights;

  //! Locally-stored projected query matrix over linear layer.
  arma::Cube<ElemType> qProj;

  //! Locally-stored projected key matrix over linear layer.
  arma::Cube<ElemType> kProj;

  //! Locally-stored projected value matrix over linear layer.
  arma::Cube<ElemType> vProj;

  //! Locally-stored result of output of dropout layer.
  arma::Cube<ElemType> scores;

  //! Locally-stored attention output weight to be fed to last linear layer.
  arma::Cube<ElemType> attnOut;

  //! Softmax layer to represent the probabilities of next sequence.
  SoftmaxType<MatType> softmax;

  //! Locally-stored regularizer object.
  RegularizerType regularizer;
}; // class MultiheadAttention

// Standard MultiheadAttention layer using no regularization.
typedef MultiheadAttentionType<arma::mat, NoRegularizer> MultiheadAttention;

} // namespace mlpack

// Include implementation.
#include "multihead_attention_impl.hpp"

#endif
