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matrix.h
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matrix.h
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/***************************************************************************************************
* Copyright (c) 2017-2021, 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 TORT (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 Matrix classes with value semantics.
*/
#pragma once
#if !defined(__CUDACC_RTC__)
#include <iosfwd>
#include <cmath>
#endif
#include "cutlass/cutlass.h"
#include "cutlass/array.h"
#include "cutlass/coord.h"
#include "cutlass/fast_math.h"
#include "cutlass/layout/matrix.h"
namespace cutlass {
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Primary template with partial specializations to follow
template <typename Element, int Rows, int Columns>
struct Matrix;
/////////////////////////////////////////////////////////////////////////////////////////////////
/// 1-by-2 matrix template class definition
template <typename Element_>
struct Matrix<Element_, 1, 2> {
//
// Type definitions
//
/// Element data type
using Element = Element_;
/// Number of rows in matrix
static int const kRows = 1;
/// Number of columns in matrix
static int const kColumns = 2;
/// Layout of matrix in underlying array
using Layout = layout::RowMajor;
/// Number of elements in matrix
static int const kCount = 2;
//
// Data members
//
/// Elements of the matrix in row-major layout
Array<Element, kCount> data;
//
// Methods
//
/// Constructs a zero matrix
CUTLASS_HOST_DEVICE
Matrix() { data.clear(); }
/// Copy constructor for a 1-by-2 matrix
CUTLASS_HOST_DEVICE
Matrix(Matrix const& rhs) { data = rhs.data; }
/// Constucts a 1-by-2 matrix from scalar elements
CUTLASS_HOST_DEVICE
Matrix(Element _0_0, Element _0_1) {
data[0] = _0_0;
data[1] = _0_1;
}
/// Constructs a matrix from a uniform element
CUTLASS_HOST_DEVICE
static Matrix uniform(Element s) {
Matrix m;
m.data[0] = s;
m.data[1] = s;
return m;
}
/// Constructs a matrix from a uniform element 1
CUTLASS_HOST_DEVICE
static Matrix ones() { return uniform(Element(1)); }
/// Constructs a matrix from a uniform element 0
CUTLASS_HOST_DEVICE
static Matrix zero() { return Matrix(); }
/// Returns a transposed matrix
CUTLASS_HOST_DEVICE
Matrix<Element, 2, 1> transpose() const {
Matrix<Element, 2, 1> mt;
mt.data[0] = data[0];
mt.data[1] = data[1];
return mt;
}
/// Accesses an element by coordinate
CUTLASS_HOST_DEVICE
Element at(int i, int j) const { return data[i * 1 + j]; }
/// Accesses an element by coordinate
CUTLASS_HOST_DEVICE
Element& at(int i, int j) { return data[i * 1 + j]; }
/// Accesses an element by coordinate
CUTLASS_HOST_DEVICE
Element at(Coord<2> const& coord) const { return at(coord[0], coord[1]); }
/// Accesses an element by coordinate
CUTLASS_HOST_DEVICE
Element& at(Coord<2> const& coord) { return at(coord[0], coord[1]); }
/// Accesses an element by offset
CUTLASS_HOST_DEVICE
Element& at(int offset) { return data[offset]; }
/// Accesses an element by offset
CUTLASS_HOST_DEVICE
Element at(int offset) const { return data[offset]; }
/// Accesses an element by coordinate
CUTLASS_HOST_DEVICE
Element operator[](Coord<2> const& coord) const {
return at(coord[0], coord[1]);
}
/// Accesses an element by coordinate
CUTLASS_HOST_DEVICE
Element& operator[](Coord<2> const& coord) {
return at(coord[0], coord[1]);
}
/// Accesses an element by offset
CUTLASS_HOST_DEVICE
Element& operator[](int offset) { return data[offset]; }
/// Accesses an element by offset
CUTLASS_HOST_DEVICE
Element operator[](int offset) const { return data[offset]; }
/// Gets a submatrix with optional offset
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 2> slice_1x2(int i = 0, int j = 0) const {
Matrix<Element, 1, 2> m;
m.data[0] = data[i * 2 + j + 0];
m.data[1] = data[i * 2 + j + 1];
return m;
}
/// Overwrites a submatrix with optional offset
CUTLASS_HOST_DEVICE
Matrix& set_slice_1x2(Matrix<Element, 1, 2> const& m, int i = 0,
int j = 0) {
data[i * 2 + j + 0] = m.data[0];
data[i * 2 + j + 1] = m.data[1];
return *this;
}
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 2> row(int i) const { return slice_1x2(i, 0); }
CUTLASS_HOST_DEVICE
Matrix& set_row(Matrix<Element, 1, 2> const& v, int i = 0) {
return set_slice_1x2(v, i, 0);
}
/// Forms a 1-by-2 matrix by horizontally concatenating an Element with an
/// Element
CUTLASS_HOST_DEVICE
static Matrix hcat(Element lhs, Element rhs) { return Matrix(lhs, rhs); }
/// Concatenates this matrix with a an Element to form a 1-by-3 matrix
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 3> hcat(Element rhs) const {
return Matrix<Element, 1, 3>::hcat(*this, rhs);
}
/// Concatenates this matrix with a a 1-by-2 matrix to form a 1-by-4 matrix
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 4> hcat(Matrix<Element, 1, 2> const& rhs) const {
return Matrix<Element, 1, 4>::hcat(*this, rhs);
}
/// Concatenates this matrix with a a 1-by-2 matrix to form a 2-by-2 matrix
CUTLASS_HOST_DEVICE
Matrix<Element, 2, 2> vcat(Matrix<Element, 1, 2> const& rhs) const {
return Matrix<Element, 2, 2>::vcat(*this, rhs);
}
/// Concatenates this matrix with a a 2-by-2 matrix to form a 3-by-2 matrix
CUTLASS_HOST_DEVICE
Matrix<Element, 3, 2> vcat(Matrix<Element, 2, 2> const& rhs) const {
return Matrix<Element, 3, 2>::vcat(*this, rhs);
}
/// Concatenates this matrix with a a 3-by-2 matrix to form a 4-by-2 matrix
CUTLASS_HOST_DEVICE
Matrix<Element, 4, 2> vcat(Matrix<Element, 3, 2> const& rhs) const {
return Matrix<Element, 4, 2>::vcat(*this, rhs);
}
/// Elementwise add operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix add(Matrix const& rhs) const {
Matrix result;
result.data[0] = data[0] + rhs.data[0];
result.data[1] = data[1] + rhs.data[1];
return result;
}
/// Elementwise add operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix operator+(Matrix const& rhs) const { return add(rhs); }
/// Elementwise add operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix& operator+=(Matrix const& rhs) {
data[0] += rhs.data[0];
data[1] += rhs.data[1];
return *this;
}
/// Elementwise subtract operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix subtract(Matrix const& rhs) const {
Matrix result;
result.data[0] = data[0] - rhs.data[0];
result.data[1] = data[1] - rhs.data[1];
return result;
}
/// Elementwise subtract operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix operator-(Matrix const& rhs) const { return subtract(rhs); }
/// Elementwise subtract operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix& operator-=(Matrix const& rhs) {
data[0] -= rhs.data[0];
data[1] -= rhs.data[1];
return *this;
}
/// Elementwise multiply operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix multiply(Matrix const& rhs) const {
Matrix result;
result.data[0] = data[0] * rhs.data[0];
result.data[1] = data[1] * rhs.data[1];
return result;
}
/// Scalar multiply operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix multiply(Element const& s) const {
Matrix result;
result.data[0] = data[0] * s;
result.data[1] = data[1] * s;
return result;
}
/// Scalar multiply operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix operator*(Element const& s) const { return multiply(s); }
/// Scalar multiply operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix& operator*=(Element const& s) {
data[0] *= s;
data[1] *= s;
return *this;
}
/// Elementwise divide operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix divide(Matrix const& rhs) const {
Matrix result;
result.data[0] = data[0] / rhs.data[0];
result.data[1] = data[1] / rhs.data[1];
return result;
}
/// Scalar divide operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix divide(Element const& s) const {
Matrix result;
result.data[0] = data[0] / s;
result.data[1] = data[1] / s;
return result;
}
/// Scalar divide operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix operator/(Element const& s) const { return divide(s); }
/// Scalar divide operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix& operator/=(Element const& s) {
data[0] /= s;
data[1] /= s;
return *this;
}
/// Elementwise divide operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix operator/(Matrix const& rhs) const { return divide(rhs); }
/// Elementwise divide operator (1-by-2)
CUTLASS_HOST_DEVICE
Matrix& operator/=(Matrix const& rhs) {
data[0] /= rhs.data[0];
data[1] /= rhs.data[1];
return *this;
}
/// Negates each element of the matrix
CUTLASS_HOST_DEVICE
Matrix operator-() const {
Matrix m;
m.data[0] = -m.data[0];
m.data[1] = -m.data[1];
return m;
}
/// Matrix product of size 1-by-1-by-2
CUTLASS_HOST_DEVICE
Element product(Matrix<Element, 2, 1> const& rhs,
Element accum = Element()) const {
// k=0
accum += data[0] * rhs.data[0];
// k=1
accum += data[1] * rhs.data[1];
return accum;
}
/// Matrix product of size 1-by-1-by-2
CUTLASS_HOST_DEVICE
Element operator*(Matrix<Element, 2, 1> const& rhs) const {
return product(rhs);
}
/// Matrix product of size 1-by-2-by-2
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 2> product(
Matrix<Element, 2, 2> const& rhs,
Matrix<Element, 1, 2> accum = Matrix<Element, 1, 2>()) const {
// k=0
accum.data[0] += data[0] * rhs.data[0];
accum.data[1] += data[0] * rhs.data[1];
// k=1
accum.data[0] += data[1] * rhs.data[2];
accum.data[1] += data[1] * rhs.data[3];
return accum;
}
/// Matrix product of size 1-by-2-by-2
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 2> operator*(Matrix<Element, 2, 2> const& rhs) const {
return product(rhs);
}
/// Matrix product of size 1-by-2-by-2
CUTLASS_HOST_DEVICE
Matrix& operator*=(Matrix<Element, 2, 2> const& rhs) {
*this = product(rhs);
return *this;
}
/// Matrix product of size 1-by-3-by-2
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 3> product(
Matrix<Element, 2, 3> const& rhs,
Matrix<Element, 1, 3> accum = Matrix<Element, 1, 3>()) const {
// k=0
accum.data[0] += data[0] * rhs.data[0];
accum.data[1] += data[0] * rhs.data[1];
accum.data[2] += data[0] * rhs.data[2];
// k=1
accum.data[0] += data[1] * rhs.data[3];
accum.data[1] += data[1] * rhs.data[4];
accum.data[2] += data[1] * rhs.data[5];
return accum;
}
/// Matrix product of size 1-by-3-by-2
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 3> operator*(Matrix<Element, 2, 3> const& rhs) const {
return product(rhs);
}
/// Matrix product of size 1-by-4-by-2
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 4> product(
Matrix<Element, 2, 4> const& rhs,
Matrix<Element, 1, 4> accum = Matrix<Element, 1, 4>()) const {
// k=0
accum.data[0] += data[0] * rhs.data[0];
accum.data[1] += data[0] * rhs.data[1];
accum.data[2] += data[0] * rhs.data[2];
accum.data[3] += data[0] * rhs.data[3];
// k=1
accum.data[0] += data[1] * rhs.data[4];
accum.data[1] += data[1] * rhs.data[5];
accum.data[2] += data[1] * rhs.data[6];
accum.data[3] += data[1] * rhs.data[7];
return accum;
}
/// Matrix product of size 1-by-4-by-2
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 4> operator*(Matrix<Element, 2, 4> const& rhs) const {
return product(rhs);
}
/// Dot product of vectors with extent 2
CUTLASS_HOST_DEVICE
Element dot(Matrix<Element, 2, 1> const& rhs,
Element accum = Element()) const {
accum += data[0] * rhs.data[0];
accum += data[1] * rhs.data[1];
return accum;
}
/// Dot product of vectors with extent 2
CUTLASS_HOST_DEVICE
Element dot(Matrix<Element, 1, 2> const& rhs,
Element accum = Element()) const {
accum += data[0] * rhs.data[0];
accum += data[1] * rhs.data[1];
return accum;
}
/// Returns the sum of elements
CUTLASS_HOST_DEVICE
Element sum(Element accum = Element()) const {
accum += data[0];
accum += data[1];
return accum;
}
/// Returns the sum of squared elements
CUTLASS_HOST_DEVICE
Element norm(Element accum = Element()) const {
accum += data[0] * data[0];
accum += data[1] * data[1];
return accum;
}
/// Returns square root of the norm
CUTLASS_HOST_DEVICE
Element magnitude() const { return fast_sqrt(norm()); }
/// Returns the sum of diagonal elements
CUTLASS_HOST_DEVICE
Element trace(Element accum = Element()) const {
accum += data[0];
return accum;
}
};
/// Template alias for 1-by-2 matrix
template <typename Element>
using Matrix1x2 = Matrix<Element, 1, 2>;
/// Free funciton to infer element type from template arguments
template <typename Element>
CUTLASS_HOST_DEVICE Matrix1x2<Element> make_Matrix1x2(Element _0_0,
Element _0_1) {
return Matrix1x2<Element>(_0_0, _0_1);
}
/////////////////////////////////////////////////////////////////////////////////////////////////
/// 1-by-3 matrix template class definition
template <typename Element_>
struct Matrix<Element_, 1, 3> {
//
// Type definitions
//
/// Element data type
using Element = Element_;
/// Number of rows in matrix
static int const kRows = 1;
/// Number of columns in matrix
static int const kColumns = 3;
/// Layout of matrix in underlying array
using Layout = layout::RowMajor;
/// Number of elements in matrix
static int const kCount = 3;
//
// Data members
//
/// Elements of the matrix in row-major layout
Array<Element, kCount> data;
//
// Methods
//
/// Constructs a zero matrix
CUTLASS_HOST_DEVICE
Matrix() { data.clear(); }
/// Copy constructor for a 1-by-3 matrix
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Matrix(Matrix const& rhs) { data = rhs.data; }
/// Constucts a 1-by-3 matrix from scalar elements
CUTLASS_HOST_DEVICE
Matrix(Element _0_0, Element _0_1, Element _0_2) {
data[0] = _0_0;
data[1] = _0_1;
data[2] = _0_2;
}
/// Constructs a matrix from a uniform element
CUTLASS_HOST_DEVICE
static Matrix uniform(Element s) {
Matrix m;
m.data[0] = s;
m.data[1] = s;
m.data[2] = s;
return m;
}
/// Constructs a matrix from a uniform element 1
CUTLASS_HOST_DEVICE
static Matrix ones() { return uniform(Element(1)); }
/// Constructs a matrix from a uniform element 0
CUTLASS_HOST_DEVICE
static Matrix zero() { return Matrix(); }
/// Returns a transposed matrix
CUTLASS_HOST_DEVICE
Matrix<Element, 3, 1> transpose() const {
Matrix<Element, 3, 1> mt;
mt.data[0] = data[0];
mt.data[1] = data[1];
mt.data[2] = data[2];
return mt;
}
/// Accesses an element by coordinate
CUTLASS_HOST_DEVICE
Element at(int i, int j) const { return data[i * 1 + j]; }
/// Accesses an element by coordinate
CUTLASS_HOST_DEVICE
Element& at(int i, int j) { return data[i * 1 + j]; }
/// Accesses an element by coordinate
CUTLASS_HOST_DEVICE
Element at(Coord<2> const& coord) const { return at(coord[0], coord[1]); }
/// Accesses an element by coordinate
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Element& at(Coord<2> const& coord) { return at(coord[0], coord[1]); }
/// Accesses an element by offset
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Element& at(int offset) { return data[offset]; }
/// Accesses an element by offset
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Element at(int offset) const { return data[offset]; }
/// Accesses an element by coordinate
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Element operator[](Coord<2> const& coord) const {
return at(coord[0], coord[1]);
}
/// Accesses an element by coordinate
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Element& operator[](Coord<2> const& coord) {
return at(coord[0], coord[1]);
}
/// Accesses an element by offset
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Element& operator[](int offset) { return data[offset]; }
/// Accesses an element by offset
CUTLASS_HOST_DEVICE
Element operator[](int offset) const { return data[offset]; }
/// Gets a submatrix with optional offset
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 2> slice_1x2(int i = 0, int j = 0) const {
Matrix<Element, 1, 2> m;
m.data[0] = data[i * 3 + j + 0];
m.data[1] = data[i * 3 + j + 1];
return m;
}
/// Overwrites a submatrix with optional offset
CUTLASS_HOST_DEVICE
Matrix& set_slice_1x2(Matrix<Element, 1, 2> const& m, int i = 0,
int j = 0) {
data[i * 3 + j + 0] = m.data[0];
data[i * 3 + j + 1] = m.data[1];
return *this;
}
/// Gets a submatrix with optional offset
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 3> slice_1x3(int i = 0, int j = 0) const {
Matrix<Element, 1, 3> m;
m.data[0] = data[i * 3 + j + 0];
m.data[1] = data[i * 3 + j + 1];
m.data[2] = data[i * 3 + j + 2];
return m;
}
/// Overwrites a submatrix with optional offset
CUTLASS_HOST_DEVICE
Matrix& set_slice_1x3(Matrix<Element, 1, 3> const& m, int i = 0,
int j = 0) {
data[i * 3 + j + 0] = m.data[0];
data[i * 3 + j + 1] = m.data[1];
data[i * 3 + j + 2] = m.data[2];
return *this;
}
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Matrix<Element, 1, 3> row(int i) const { return slice_1x3(i, 0); }
CUTLASS_HOST_DEVICE
Matrix& set_row(Matrix<Element, 1, 3> const& v, int i = 0) {
return set_slice_1x3(v, i, 0);
}
/// Forms a 1-by-3 matrix by horizontally concatenating an Element with a
/// 1-by-2 matrix
CUTLASS_HOST_DEVICE
static Matrix hcat(Element lhs, Matrix<Element, 1, 2> const& rhs) {
return Matrix(lhs, rhs.at(0, 0), rhs.at(0, 1));
}
/// Forms a 1-by-3 matrix by horizontally concatenating a 1-by-2 matrix with
/// an Element
CUTLASS_HOST_DEVICE
static Matrix hcat(Matrix<Element, 1, 2> const& lhs, Element rhs) {
return Matrix(lhs.at(0, 0), lhs.at(0, 1), rhs);
}
/// Concatenates this matrix with a an Element to form a 1-by-4 matrix
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 4> hcat(Element rhs) const {
return Matrix<Element, 1, 4>::hcat(*this, rhs);
}
/// Concatenates this matrix with a a 1-by-3 matrix to form a 2-by-3 matrix
CUTLASS_HOST_DEVICE
Matrix<Element, 2, 3> vcat(Matrix<Element, 1, 3> const& rhs) const {
return Matrix<Element, 2, 3>::vcat(*this, rhs);
}
/// Concatenates this matrix with a a 2-by-3 matrix to form a 3-by-3 matrix
CUTLASS_HOST_DEVICE
Matrix<Element, 3, 3> vcat(Matrix<Element, 2, 3> const& rhs) const {
return Matrix<Element, 3, 3>::vcat(*this, rhs);
}
/// Concatenates this matrix with a a 3-by-3 matrix to form a 4-by-3 matrix
CUTLASS_HOST_DEVICE
Matrix<Element, 4, 3> vcat(Matrix<Element, 3, 3> const& rhs) const {
return Matrix<Element, 4, 3>::vcat(*this, rhs);
}
/// Elementwise add operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix add(Matrix const& rhs) const {
Matrix result;
result.data[0] = data[0] + rhs.data[0];
result.data[1] = data[1] + rhs.data[1];
result.data[2] = data[2] + rhs.data[2];
return result;
}
/// Elementwise add operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix operator+(Matrix const& rhs) const { return add(rhs); }
/// Elementwise add operator (1-by-3)
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Matrix& operator+=(Matrix const& rhs) {
data[0] += rhs.data[0];
data[1] += rhs.data[1];
data[2] += rhs.data[2];
return *this;
}
/// Elementwise subtract operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix subtract(Matrix const& rhs) const {
Matrix result;
result.data[0] = data[0] - rhs.data[0];
result.data[1] = data[1] - rhs.data[1];
result.data[2] = data[2] - rhs.data[2];
return result;
}
/// Elementwise subtract operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix operator-(Matrix const& rhs) const { return subtract(rhs); }
/// Elementwise subtract operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix& operator-=(Matrix const& rhs) {
data[0] -= rhs.data[0];
data[1] -= rhs.data[1];
data[2] -= rhs.data[2];
return *this;
}
/// Elementwise multiply operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix multiply(Matrix const& rhs) const {
Matrix result;
result.data[0] = data[0] * rhs.data[0];
result.data[1] = data[1] * rhs.data[1];
result.data[2] = data[2] * rhs.data[2];
return result;
}
/// Scalar multiply operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix multiply(Element const& s) const {
Matrix result;
result.data[0] = data[0] * s;
result.data[1] = data[1] * s;
result.data[2] = data[2] * s;
return result;
}
/// Scalar multiply operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix operator*(Element const& s) const { return multiply(s); }
/// Scalar multiply operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix& operator*=(Element const& s) {
data[0] *= s;
data[1] *= s;
data[2] *= s;
return *this;
}
/// Elementwise divide operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix divide(Matrix const& rhs) const {
Matrix result;
result.data[0] = data[0] / rhs.data[0];
result.data[1] = data[1] / rhs.data[1];
result.data[2] = data[2] / rhs.data[2];
return result;
}
/// Scalar divide operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix divide(Element const& s) const {
Matrix result;
result.data[0] = data[0] / s;
result.data[1] = data[1] / s;
result.data[2] = data[2] / s;
return result;
}
/// Scalar divide operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix operator/(Element const& s) const { return divide(s); }
/// Scalar divide operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix& operator/=(Element const& s) {
data[0] /= s;
data[1] /= s;
data[2] /= s;
return *this;
}
/// Elementwise divide operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix operator/(Matrix const& rhs) const { return divide(rhs); }
/// Elementwise divide operator (1-by-3)
CUTLASS_HOST_DEVICE
Matrix& operator/=(Matrix const& rhs) {
data[0] /= rhs.data[0];
data[1] /= rhs.data[1];
data[2] /= rhs.data[2];
return *this;
}
/// Negates each element of the matrix
CUTLASS_HOST_DEVICE
Matrix operator-() const {
Matrix m;
m.data[0] = -m.data[0];
m.data[1] = -m.data[1];
m.data[2] = -m.data[2];
return m;
}
/// Matrix product of size 1-by-1-by-3
CUTLASS_HOST_DEVICE
Element product(Matrix<Element, 3, 1> const& rhs,
Element accum = Element()) const {
// k=0
accum += data[0] * rhs.data[0];
// k=1
accum += data[1] * rhs.data[1];
// k=2
accum += data[2] * rhs.data[2];
return accum;
}
/// Matrix product of size 1-by-1-by-3
CUTLASS_HOST_DEVICE
Element operator*(Matrix<Element, 3, 1> const& rhs) const {
return product(rhs);
}
/// Matrix product of size 1-by-2-by-3
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Matrix<Element, 1, 2> product(
Matrix<Element, 3, 2> const& rhs,
Matrix<Element, 1, 2> accum = Matrix<Element, 1, 2>()) const {
// k=0
accum.data[0] += data[0] * rhs.data[0];
accum.data[1] += data[0] * rhs.data[1];
// k=1
accum.data[0] += data[1] * rhs.data[2];
accum.data[1] += data[1] * rhs.data[3];
// k=2
accum.data[0] += data[2] * rhs.data[4];
accum.data[1] += data[2] * rhs.data[5];
return accum;
}
/// Matrix product of size 1-by-2-by-3
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Matrix<Element, 1, 2> operator*(Matrix<Element, 3, 2> const& rhs) const {
return product(rhs);
}
/// Matrix product of size 1-by-3-by-3
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 3> product(
Matrix<Element, 3, 3> const& rhs,
Matrix<Element, 1, 3> accum = Matrix<Element, 1, 3>()) const {
// k=0
accum.data[0] += data[0] * rhs.data[0];
accum.data[1] += data[0] * rhs.data[1];
accum.data[2] += data[0] * rhs.data[2];
// k=1
accum.data[0] += data[1] * rhs.data[3];
accum.data[1] += data[1] * rhs.data[4];
accum.data[2] += data[1] * rhs.data[5];
// k=2
accum.data[0] += data[2] * rhs.data[6];
accum.data[1] += data[2] * rhs.data[7];
accum.data[2] += data[2] * rhs.data[8];
return accum;
}
/// Matrix product of size 1-by-3-by-3
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 3> operator*(Matrix<Element, 3, 3> const& rhs) const {
return product(rhs);
}
/// Matrix product of size 1-by-3-by-3
CUTLASS_HOST_DEVICE
Matrix& operator*=(Matrix<Element, 3, 3> const& rhs) {
*this = product(rhs);
return *this;
}
/// Matrix product of size 1-by-4-by-3
CUTLASS_HOST_DEVICE
Matrix<Element, 1, 4> product(
Matrix<Element, 3, 4> const& rhs,
Matrix<Element, 1, 4> accum = Matrix<Element, 1, 4>()) const {