coord.h

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#pragma once

#include "cutlass/cutlass.h"

namespace cutlass {


template <
  int Rank_,                          
  typename Index_ = int,              
  typename LongIndex_ = int64_t       
>
struct Coord {

public:

  //
  // Type and constant definitions
  //

  static int const kRank = Rank_;

  using Index = Index_;

  using LongIndex = LongIndex_;

private:

  //
  // Data members
  //

  Index idx[kRank];

public:

  //
  // Methods
  //

  CUTLASS_HOST_DEVICE
  explicit Coord(Index value = Index(0)) {
    for (int i = 0; i < kRank; ++i) {
      idx[i] = value;
    }
  }

  CUTLASS_HOST_DEVICE
  Coord(Index const (&_idx)[kRank]) {
    for (int i = 0; i < kRank; ++i) {
      idx[i] = _idx[i];
    }
  }

  CUTLASS_HOST_DEVICE
  Coord(Coord<kRank, Index, LongIndex> const &coord) {
    for (int i = 0; i < kRank; ++i) {
      idx[i] = coord[i];
    }
  }

  template <int Slice>
  CUTLASS_HOST_DEVICE
  Coord<Slice> slice(int start = 0, Index identity = 0) const {
    Coord<Slice> result;
    for (int i = 0; i < Slice; ++i) {
      if (i + start < kRank) {
        result[i] = idx[i + start];
      }
      else {
        result[i] = identity;
      }
    }
    return result;
  }

  CUTLASS_HOST_DEVICE
  int min_dim_index() const {
    int i = 0;
    for (int j = 1; j < kRank; ++j) {
      if (idx[j] < idx[i]) {
        i = j;
      }
    }
    return i;
  }

  CUTLASS_HOST_DEVICE
  int max_dim_index() const {
    int i = 0;
    for (int j = 1; j < kRank; ++j) {
      if (idx[j] > idx[i]) {
        i = j;
      }
    }
    return i;
  }

  CUTLASS_HOST_DEVICE
  explicit operator bool() const {
    for (int i = 0; i < kRank; ++i) {
      if (idx[i]) {
        return true;
      }
    }
    return false;
  }

  CUTLASS_HOST_DEVICE
  bool operator!() const {
    for (int i = 0; i < kRank; ++i) {
      if (idx[i]) {
        return false;
      }
    }
    return true;
  }

  CUTLASS_HOST_DEVICE
  Coord operator+(Coord const& b) const {
    Coord c;
    for (int i = 0; i < kRank; ++i) {
      c.idx[i] = idx[i] + b.idx[i];
    }
    return c;
  }

  CUTLASS_HOST_DEVICE
  Coord operator-(Coord const& b) const {
    Coord c;
    for (int i = 0; i < kRank; ++i) {
      c.idx[i] = idx[i] - b.idx[i];
    }
    return c;
  }

  CUTLASS_HOST_DEVICE
  Coord operator*(Coord const& b) const {
    Coord c;
    for (int i = 0; i < kRank; ++i) {
      c.idx[i] = idx[i] * b.idx[i];
    }
    return c;
  }

  CUTLASS_HOST_DEVICE
  Coord operator/(Coord const& b) const {
    Coord c;
    for (int i = 0; i < kRank; ++i) {
      c.idx[i] = idx[i] / b.idx[i];
    }
    return c;
  }

  CUTLASS_HOST_DEVICE
  Coord& operator+=(Coord const& b) {
    for (int i = 0; i < kRank; ++i) {
      idx[i] += b.idx[i];
    }
    return *this;
  }

  CUTLASS_HOST_DEVICE
  Coord& operator-=(Coord const& b) {
    for (int i = 0; i < kRank; ++i) {
      idx[i] -= b.idx[i];
    }
    return *this;
  }

  CUTLASS_HOST_DEVICE
  Coord& operator*=(Coord const& b) {
    for (int i = 0; i < kRank; ++i) {
      idx[i] *= b.idx[i];
    }
    return *this;
  }

  CUTLASS_HOST_DEVICE
  Coord& operator/=(Coord const& b) {
    for (int i = 0; i < kRank; ++i) {
      idx[i] /= b.idx[i];
    }
    return *this;
  }

  CUTLASS_HOST_DEVICE Index& operator[](int dim) { return idx[dim]; }

  CUTLASS_HOST_DEVICE Index const& operator[](int dim) const { return idx[dim]; }

  CUTLASS_HOST_DEVICE
  LongIndex dot(Coord const& b, LongIndex sum = LongIndex(0)) const {
    for (int i = 0; i < kRank; ++i) {
      sum += idx[i] * b.idx[i];
    }
    return sum;
  }

  template <int Dim>
  CUTLASS_HOST_DEVICE Index& at() {
    return idx[Dim];
  }

  CUTLASS_HOST_DEVICE
  Index& at(int dim) { return idx[dim]; }

  template <int Dim>
  CUTLASS_HOST_DEVICE Index const& at() const {
    return idx[Dim];
  }

  CUTLASS_HOST_DEVICE
  Index const& at(int dim) const { return idx[dim]; }

  CUTLASS_HOST_DEVICE
  bool operator==(Coord const& b) const {
    bool equal = true;
    for (int i = 0; equal && i < kRank; ++i) {
      equal = (idx[i] == b.idx[i]);
    }
    return equal;
  }

  CUTLASS_HOST_DEVICE
  bool operator!=(Coord const& b) const { return !(*this == b); }

  CUTLASS_HOST_DEVICE
  Coord& clamp(Coord const& max, Coord const& min = Coord()) {
    for (int i = 0; i < kRank; ++i) {
      idx[i] = __NV_STD_MAX(__NV_STD_MIN(idx[i], max.idx[i]), min.idx[i]);
    }
    return *this;
  }

  CUTLASS_HOST_DEVICE
  Index sum() const {
    Index sum_(idx[0]);
    for (int i = 1; i < kRank; ++i) {
      sum_ += idx[i];
    }
    return sum_;
  }

  CUTLASS_HOST_DEVICE
  LongIndex product() const {
    LongIndex product_(idx[0]);
    for (int i = 1; i < kRank; ++i) {
      product_ *= idx[i];
    }
    return product_;
  }

  CUTLASS_HOST_DEVICE
  bool operator<(Coord const &b) const {
    for (int i = 0; i < kRank; ++i) {
      if (!(idx[i] < b[i])) {
        return false;
      }
    }
    return true;
  }

  CUTLASS_HOST_DEVICE
  bool operator<=(Coord const &b) const {
    for (int i = 0; i < kRank; ++i) {
      if (!(idx[i] <= b[i])) {
        return false;
      }
    }
    return true;
  }

  CUTLASS_HOST_DEVICE
  bool operator>(Coord const &b) const {
    return !(*this <= b);
  }

  CUTLASS_HOST_DEVICE
  bool operator>=(Coord const &b) const {
    return !(*this < b);
  }
};

} // namespace cutlass 


namespace cutlass {

template <int Rank, typename Index>
CUTLASS_HOST_DEVICE
Coord<Rank, Index> operator/(Index s, Coord<Rank, Index> coord) {
  CUTLASS_PRAGMA_UNROLL
  for (int i = 0; i < Rank; ++i) {
    coord[i] = s / coord[i];
  }
  return coord;
}

template <int Rank, typename Index>
CUTLASS_HOST_DEVICE
Coord<Rank, Index> operator/(Coord<Rank, Index> coord, Index s) {
  CUTLASS_PRAGMA_UNROLL
  for (int i = 0; i < Rank; ++i) {
    coord[i] /= s;
  }
  return coord;
}

//
// Integer-valued make_Coord
//

CUTLASS_HOST_DEVICE
Coord<1> make_Coord(int _0) {
  int values[1] = {_0};
  return Coord<1>(values);
}

CUTLASS_HOST_DEVICE
Coord<2> make_Coord(int _0, int _1) {
  int values[2] = {_0, _1};
  return Coord<2>(values);
}

CUTLASS_HOST_DEVICE
Coord<3> make_Coord(int _0, int _1, int _2) {
  int values[3] = {_0, _1, _2};
  return Coord<3>(values);
}

CUTLASS_HOST_DEVICE
Coord<4> make_Coord(int _0, int _1, int _2, int _3) {
  int values[4] = {_0, _1, _2, _3};
  return Coord<4>(values);
}


}  // namespace cutlass