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/***************************************************************************************************
* Copyright (c) 2017-2018, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without modification, are permitted
* provided that the following conditions are met:
* * Redistributions of source code must retain the above copyright notice, this list of
* conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright notice, this list of
* conditions and the following disclaimer in the documentation and/or other materials
* provided with the distribution.
* * Neither the name of the NVIDIA CORPORATION nor the names of its contributors may be used
* to endorse or promote products derived from this software without specific prior written
* permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR
* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
* FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL NVIDIA CORPORATION BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
* STRICT LIABILITY, OR TOR (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*
**************************************************************************************************/
/*! \file
\brief A Coord is a coordinate of arbitrary rank into a tensor or matrix
*/
#pragma once
#include <cutlass/cutlass.h>
namespace cutlass {
////////////////////////////////////////////////////////////////////////////////////////////////////
/// Describes identity elements
struct Identity {
/// Enumeration describing identity elements. Value assignments are significant.
/// Feel free to add or multiply by these, respectively.
enum Kind { Additive = 0, Multiplicative = 1 };
};
////////////////////////////////////////////////////////////////////////////////////////////////////
/// Statically-sized array specifying Coords within a tensor
template <int N_>
struct Coord {
//
// Type and constant definitions
//
static int const N = N_;
//
// Data members
//
/// Indices
int idx[N];
//
// Methods
//
/// Default ctor initializes uniformly
CUTLASS_HOST_DEVICE
Coord(int value = 0) {
for (int i = 0; i < N; ++i) {
idx[i] = value;
}
}
/// Constructs from an array of integers
CUTLASS_HOST_DEVICE
Coord(int _idx[]) {
for (int i = 0; i < N; ++i) {
idx[i] = _idx[i];
}
}
/// Element-wise addition
CUTLASS_HOST_DEVICE
Coord operator+(Coord const& b) const {
Coord c;
for (int i = 0; i < N; ++i) {
c.idx[i] = idx[i] + b.idx[i];
}
return c;
}
/// Element-wise subtraction
CUTLASS_HOST_DEVICE
Coord operator-(Coord const& b) const {
Coord c;
for (int i = 0; i < N; ++i) {
c.idx[i] = idx[i] - b.idx[i];
}
return c;
}
/// Element-wise multiplication
CUTLASS_HOST_DEVICE
Coord operator*(Coord const& b) const {
Coord c;
for (int i = 0; i < N; ++i) {
c.idx[i] = idx[i] * b.idx[i];
}
return c;
}
/// Element-wise division
CUTLASS_HOST_DEVICE
Coord operator/(Coord const& b) const {
Coord c;
for (int i = 0; i < N; ++i) {
c.idx[i] = idx[i] / b.idx[i];
}
return c;
}
/// In-place addition
CUTLASS_HOST_DEVICE
Coord& operator+=(Coord const& b) {
for (int i = 0; i < N; ++i) {
idx[i] += b.idx[i];
}
return *this;
}
/// In-place subtraction
CUTLASS_HOST_DEVICE
Coord& operator-=(Coord const& b) {
for (int i = 0; i < N; ++i) {
idx[i] -= b.idx[i];
}
return *this;
}
/// In-place multiplication
CUTLASS_HOST_DEVICE
Coord& operator*=(Coord const& b) {
for (int i = 0; i < N; ++i) {
idx[i] *= b.idx[i];
}
return *this;
}
/// In-place division
CUTLASS_HOST_DEVICE
Coord& operator/=(Coord const& b) {
for (int i = 0; i < N; ++i) {
idx[i] /= b.idx[i];
}
return *this;
}
/// Member access operator
CUTLASS_HOST_DEVICE int& operator[](int dim) { return idx[dim]; }
/// Member access operator
CUTLASS_HOST_DEVICE int const& operator[](int dim) const { return idx[dim]; }
/// Computes the dot product of two Coord instances
template <typename T>
CUTLASS_HOST_DEVICE T dot(Coord const& b, T sum) const {
for (int i = 0; i < N; ++i) {
sum += idx[i] * b.idx[i];
}
return sum;
}
/// Computes the dot product of two Coord instances
template <typename T>
CUTLASS_HOST_DEVICE T dot(Coord const& b) const {
T sum = T(0);
for (int i = 0; i < N; ++i) {
sum += idx[i] * b.idx[i];
}
return sum;
}
/// Gets the index of a given Coord element
template <int Dim>
CUTLASS_HOST_DEVICE int& at() {
return idx[Dim];
}
/// Access via index; may limit unrolling potential
CUTLASS_HOST_DEVICE
int& at(int dim) { return idx[dim]; }
/// Gets the index of a given Coord element
template <int Dim>
CUTLASS_HOST_DEVICE int const& at() const {
return idx[Dim];
}
/// Access via index; may limit unrolling potential
CUTLASS_HOST_DEVICE
int const& at(int dim) const { return idx[dim]; }
/// Determines if two Coord<> objects are equal
CUTLASS_HOST_DEVICE
bool operator==(Coord<N> const& b) const {
bool equal = true;
for (int i = 0; equal && i < N; ++i) {
equal = (idx[i] == b.idx[i]);
}
return equal;
}
/// Not equal
CUTLASS_HOST_DEVICE
bool operator!=(Coord<N> const& b) const { return !(*this == b); }
/// Clamps a coordinate to a range specified by maximum and minimum values
CUTLASS_HOST_DEVICE
Coord& clamp(Coord<N> const& max, Coord<N> const& min = Coord<N>()) {
for (int i = 0; i < N; ++i) {
idx[i] = __NV_STD_MAX(__NV_STD_MIN(idx[i], max.idx[i]), min.idx[i]);
}
return *this;
}
/// Returns the product of all elements
CUTLASS_HOST_DEVICE
int count() const {
int product = idx[0];
for (int i = 1; i < N; ++i) {
product *= idx[i];
}
return product;
}
};
////////////////////////////////////////////////////////////////////////////////////////////////////
/// Helper to make a 2-element coordinate
CUTLASS_HOST_DEVICE
Coord<1> make_Coord(int _0) {
int values[1] = {_0};
return Coord<1>(values);
}
/// Helper to make a 2-element coordinate
CUTLASS_HOST_DEVICE
Coord<2> make_Coord(int _0, int _1) {
int values[2] = {_0, _1};
return Coord<2>(values);
}
/// Helper to make a 3-element coordinate
CUTLASS_HOST_DEVICE
Coord<3> make_Coord(int _0, int _1, int _2) {
int values[3] = {_0, _1, _2};
return Coord<3>(values);
}
/// Helper to make a 4-element coordinate
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);
}
////////////////////////////////////////////////////////////////////////////////////////////////////
/// Getter
CUTLASS_HOST_DEVICE
Coord<2> get_Coord_hw(Coord<3> const& coord) { return make_Coord(coord[1], coord[2]); }
/// Getter
CUTLASS_HOST_DEVICE
Coord<2> get_Coord_hw(Coord<4> const& coord) { return make_Coord(coord[1], coord[2]); }
/// Getter
CUTLASS_HOST_DEVICE
Coord<3> get_Coord_hwc(Coord<4> const& coord) { return make_Coord(coord[1], coord[2], coord[3]); }
/// Getter
CUTLASS_HOST_DEVICE
Coord<3> get_Coord_dhw(Coord<4> const& coord) { return make_Coord(coord[0], coord[1], coord[2]); }
////////////////////////////////////////////////////////////////////////////////////////////////////
} // namespace cutlass
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