
* Updates for 3.2.1 release. * Minor fix in gemm op profiler for raster order. * Add scheduler mapping for raster order in the kernels.
453 lines
15 KiB
C++
453 lines
15 KiB
C++
/***************************************************************************************************
|
|
* Copyright (c) 2023 - 2023 NVIDIA CORPORATION & AFFILIATES. All rights reserved.
|
|
* SPDX-License-Identifier: BSD-3-Clause
|
|
*
|
|
* Redistribution and use in source and binary forms, with or without
|
|
* modification, are permitted provided that the following conditions are met:
|
|
*
|
|
* 1. Redistributions of source code must retain the above copyright notice, this
|
|
* list of conditions and the following disclaimer.
|
|
*
|
|
* 2. 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.
|
|
*
|
|
* 3. Neither the name of the copyright holder 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 THE COPYRIGHT HOLDER OR CONTRIBUTORS 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.
|
|
*
|
|
**************************************************************************************************/
|
|
#pragma once
|
|
|
|
#include <cute/config.hpp>
|
|
|
|
#include <cute/int_tuple.hpp>
|
|
|
|
namespace cute
|
|
{
|
|
|
|
/** crd2idx maps a coordinate within <Shape,Stride> to an index
|
|
* This is computed as follows:
|
|
* [coord, shape, and stride are all integers => step forward by stride]
|
|
* op(c, s, d) => c * d
|
|
* [coord is integer, shape and stride are tuple => divmod coord for each mode]
|
|
* op(c, (s,S), (d,D)) => op(c % prod(s), s, d) + op(c / prod(s), (S), (D))
|
|
* [coord, shape, and stride are all tuples => consider each mode independently]
|
|
* op((c,C), (s,S), (d,D)) => op(c, s, d) + op((C), (S), (D))
|
|
*/
|
|
|
|
template <class Coord, class Shape, class Stride>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
crd2idx(Coord const& coord,
|
|
Shape const& shape,
|
|
Stride const& stride);
|
|
|
|
namespace detail {
|
|
|
|
template <class Coord, class Shape, class Stride, int... Is>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
crd2idx_ttt(Coord const& coord,
|
|
Shape const& shape,
|
|
Stride const& stride, seq<Is...>)
|
|
{
|
|
return (... + crd2idx(get<Is>(coord), get<Is>(shape), get<Is>(stride)));
|
|
}
|
|
|
|
template <class CInt, class STuple, class DTuple, int I0, int... Is>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
crd2idx_itt(CInt const& coord,
|
|
STuple const& shape,
|
|
DTuple const& stride, seq<I0,Is...>)
|
|
{
|
|
if constexpr (sizeof...(Is) == 0) { // Avoid recursion and mod on single/last iter
|
|
return crd2idx(coord, get<I0>(shape), get<I0>(stride));
|
|
} else if constexpr (is_constant<0, CInt>::value) {
|
|
return crd2idx(_0{}, get<I0>(shape), get<I0>(stride))
|
|
+ (_0{} + ... + crd2idx(_0{}, get<Is>(shape), get<Is>(stride)));
|
|
} else { // General case
|
|
return crd2idx(coord % product(get<I0>(shape)), get<I0>(shape), get<I0>(stride))
|
|
+ crd2idx_itt(coord / product(get<I0>(shape)), shape, stride, seq<Is...>{});
|
|
}
|
|
|
|
CUTE_GCC_UNREACHABLE;
|
|
}
|
|
|
|
} // end namespace detail
|
|
|
|
template <class Coord, class Shape, class Stride>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
crd2idx(Coord const& coord,
|
|
Shape const& shape,
|
|
Stride const& stride)
|
|
{
|
|
if constexpr (is_tuple<Coord>::value) {
|
|
if constexpr (is_tuple<Shape>::value) { // tuple tuple tuple
|
|
static_assert(tuple_size<Coord>::value == tuple_size< Shape>::value, "Mismatched Ranks");
|
|
static_assert(tuple_size<Coord>::value == tuple_size<Stride>::value, "Mismatched Ranks");
|
|
return detail::crd2idx_ttt(coord, shape, stride, tuple_seq<Coord>{});
|
|
} else { // tuple "int" "int"
|
|
static_assert(sizeof(Coord) == 0, "Invalid parameters");
|
|
}
|
|
} else {
|
|
if constexpr (is_tuple<Shape>::value) { // "int" tuple tuple
|
|
static_assert(tuple_size<Shape>::value == tuple_size<Stride>::value, "Mismatched Ranks");
|
|
return detail::crd2idx_itt(coord, shape, stride, tuple_seq<Shape>{});
|
|
} else { // "int" "int" "int"
|
|
return coord * stride;
|
|
}
|
|
}
|
|
|
|
CUTE_GCC_UNREACHABLE;
|
|
}
|
|
|
|
//
|
|
// If we know Stride is default [CompactColMajor], then we can take shortcuts
|
|
//
|
|
|
|
namespace detail {
|
|
|
|
template <class CTuple, class STuple, int I0, int... Is>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
crd2idx_horner(CTuple const& coord,
|
|
STuple const& shape, seq<I0,Is...>)
|
|
{
|
|
if constexpr (sizeof...(Is) == 0) { // No recursion on single/last iter
|
|
return get<I0>(coord);
|
|
} else { // General case
|
|
return get<I0>(coord) + get<I0>(shape) * crd2idx_horner(coord, shape, seq<Is...>{});
|
|
}
|
|
|
|
CUTE_GCC_UNREACHABLE;
|
|
}
|
|
|
|
} // end namespace detail
|
|
|
|
template <class Coord, class Shape>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
crd2idx(Coord const& coord,
|
|
Shape const& shape)
|
|
{
|
|
static_assert(decltype(congruent(coord,shape))::value, "Mismatched Ranks");
|
|
if constexpr (is_tuple<Shape>::value) {
|
|
// Flatten and apply Horner's method
|
|
auto flat_coord = flatten(coord);
|
|
auto flat_shape = flatten(shape);
|
|
return detail::crd2idx_horner(flat_coord, flat_shape, tuple_seq<decltype(flat_shape)>{});
|
|
} else {
|
|
return coord;
|
|
}
|
|
|
|
CUTE_GCC_UNREACHABLE;
|
|
}
|
|
|
|
/** idx2crd splits an index to a coordinate within <Shape,Stride>.
|
|
*
|
|
* This is computed as follows:
|
|
* [index, shape, and stride are all integers => determine 1D coord]
|
|
* op(i, s, d) => (i / d) % s
|
|
* [index is integer, shape and stride are tuple => determine component for each mode]
|
|
* op(i, (s,S), (d,D)) => (op(i, s, d), op(i, S, D)...)
|
|
* [index, shape, and stride are all tuples => consider each mode independently]
|
|
* op((i,I), (s,S), (d,D)) => (op(i, s, d), op((I), (S), (D)))
|
|
*
|
|
* NOTE: This only works for compact shape+stride layouts. A more general version would
|
|
* apply to all surjective layouts
|
|
*/
|
|
|
|
template <class Index, class Shape, class Stride>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
idx2crd(Index const& idx,
|
|
Shape const& shape,
|
|
Stride const& stride)
|
|
{
|
|
if constexpr (is_tuple<Index>::value) {
|
|
if constexpr (is_tuple<Shape>::value) { // tuple tuple tuple
|
|
static_assert(tuple_size<Index>::value == tuple_size< Shape>::value, "Mismatched Ranks");
|
|
static_assert(tuple_size<Index>::value == tuple_size<Stride>::value, "Mismatched Ranks");
|
|
return transform(idx, shape, stride, [](auto const& i, auto const& s, auto const& d){ return idx2crd(i,s,d); });
|
|
} else { // tuple "int" "int"
|
|
static_assert(sizeof(Index) == 0, "Invalid parameters");
|
|
}
|
|
} else {
|
|
if constexpr (is_tuple<Shape>::value) {
|
|
if constexpr (is_tuple<Stride>::value) { // "int" tuple tuple
|
|
static_assert(tuple_size<Shape>::value == tuple_size<Stride>::value, "Mismatched Ranks");
|
|
return transform(shape, stride, [&](auto const& s, auto const& d){ return idx2crd(idx,s,d); });
|
|
} else { // "int" tuple "int"
|
|
return transform(shape, compact_col_major(shape, stride), [&](auto const& s, auto const& d){ return idx2crd(idx,s,d); });
|
|
}
|
|
} else { // "int" "int" "int"
|
|
if constexpr (is_constant<1, Shape>::value) {
|
|
// Skip potential stride-0 division
|
|
return Int<0>{};
|
|
} else {
|
|
return (idx / stride) % shape;
|
|
}
|
|
}
|
|
}
|
|
|
|
CUTE_GCC_UNREACHABLE;
|
|
}
|
|
|
|
//
|
|
// If we know Stride is default [CompactColMajor], then we can take shortcuts
|
|
//
|
|
|
|
//(idx / 1) % s0
|
|
//(idx / s0) % s1
|
|
//(idx / (s0 * s1)) % s2
|
|
//...
|
|
|
|
template <class Index, class Shape>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
idx2crd(Index const& idx,
|
|
Shape const& shape)
|
|
{
|
|
if constexpr (is_tuple<Index>::value) {
|
|
if constexpr (is_tuple<Shape>::value) { // tuple tuple
|
|
static_assert(tuple_size<Index>::value == tuple_size<Shape>::value, "Mismatched Ranks");
|
|
return transform(idx, shape, [](auto const& i, auto const& s) { return idx2crd(i,s); });
|
|
} else { // tuple "int"
|
|
static_assert(sizeof(Index) == 0, "Invalid parameters");
|
|
}
|
|
} else {
|
|
if constexpr (is_tuple<Shape>::value) { // "int" tuple
|
|
return idx2crd(idx, shape, compact_col_major(shape));
|
|
} else { // "int" "int"
|
|
return idx;
|
|
}
|
|
}
|
|
|
|
CUTE_GCC_UNREACHABLE;
|
|
}
|
|
|
|
//
|
|
// crd2crd
|
|
//
|
|
|
|
template <class Coord, class SShape, class DShape>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
crd2crd(Coord const& coord,
|
|
SShape const& src_shape,
|
|
DShape const& dst_shape)
|
|
{
|
|
if constexpr (is_tuple<Coord>::value && is_tuple<SShape>::value && is_tuple<DShape>::value) {
|
|
static_assert(tuple_size<Coord>::value == tuple_size<SShape>::value, "Mismatched Ranks");
|
|
static_assert(tuple_size<Coord>::value == tuple_size<DShape>::value, "Mismatched Ranks");
|
|
return transform(coord, src_shape, dst_shape, [](auto const& c, auto const& s, auto const& d) { return crd2crd(c,s,d); });
|
|
} else {
|
|
// assert(size(src_shape) == size(dst_shape))
|
|
return idx2crd(crd2idx(coord, src_shape), dst_shape);
|
|
}
|
|
|
|
CUTE_GCC_UNREACHABLE;
|
|
}
|
|
|
|
//
|
|
// Compact Major
|
|
//
|
|
|
|
// Tags for common layouts and dispatching
|
|
struct LayoutLeft; // Col-major layout mapping; leftmost extent has stride 1
|
|
using GenColMajor = LayoutLeft; // Alias
|
|
|
|
struct LayoutRight; // Row-major layout mapping; rightmost extent has stride 1
|
|
using GenRowMajor = LayoutRight; // Alias
|
|
|
|
namespace detail {
|
|
|
|
// For GCC8.5 -- Use of lambdas in unevaluated contexts. Instead use function objects.
|
|
template <class Major>
|
|
struct CompactLambda;
|
|
|
|
// @pre is_integral<Current>
|
|
// Return (result, current * product(shape)) to enable recurrence
|
|
template <class Major, class Shape, class Current>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
compact(Shape const& shape,
|
|
Current const& current)
|
|
{
|
|
if constexpr (is_tuple<Shape>::value) { // Shape::tuple Current::int
|
|
using Lambda = CompactLambda<Major>; // Append or Prepend
|
|
using Seq = typename Lambda::template seq<Shape>; // Seq or RSeq
|
|
return cute::detail::fold(shape, cute::make_tuple(cute::make_tuple(), current), Lambda{}, Seq{});
|
|
} else { // Shape::int Current::int
|
|
if constexpr (is_constant<1, Shape>::value) {
|
|
return cute::make_tuple(Int<0>{}, current); // If current is dynamic, this could save a reg
|
|
} else {
|
|
return cute::make_tuple(current, current * shape);
|
|
}
|
|
}
|
|
|
|
CUTE_GCC_UNREACHABLE;
|
|
}
|
|
|
|
// For GCC8.5 -- Specialization LayoutLeft
|
|
template <>
|
|
struct CompactLambda<LayoutLeft>
|
|
{
|
|
template <class Init, class Shape>
|
|
CUTE_HOST_DEVICE constexpr auto
|
|
operator()(Init const& init, Shape const& si) {
|
|
auto result = detail::compact<LayoutLeft>(si, get<1>(init));
|
|
return cute::make_tuple(append(get<0>(init), get<0>(result)), get<1>(result)); // Append
|
|
}
|
|
|
|
template <class Shape>
|
|
using seq = tuple_seq<Shape>; // Seq
|
|
};
|
|
|
|
// For GCC8.5 -- Specialization LayoutRight
|
|
template <>
|
|
struct CompactLambda<LayoutRight>
|
|
{
|
|
template <class Init, class Shape>
|
|
CUTE_HOST_DEVICE constexpr auto
|
|
operator()(Init const& init, Shape const& si) {
|
|
auto result = detail::compact<LayoutRight>(si, get<1>(init));
|
|
return cute::make_tuple(prepend(get<0>(init), get<0>(result)), get<1>(result)); // Prepend
|
|
}
|
|
|
|
template <class Shape>
|
|
using seq = tuple_rseq<Shape>; // RSeq
|
|
};
|
|
|
|
} // end namespace detail
|
|
|
|
template <class Major, class Shape, class Current = Int<1>,
|
|
__CUTE_REQUIRES(is_tuple<Shape>::value || is_integral<Shape>::value)>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
compact_major(Shape const& shape,
|
|
Current const& current = {})
|
|
{
|
|
if constexpr (is_tuple<Current>::value) { // Shape::tuple Current::tuple
|
|
static_assert(is_tuple<Shape>::value, "Invalid parameters");
|
|
static_assert(tuple_size<Shape>::value == tuple_size<Current>::value, "Mismatched Ranks");
|
|
// Recurse to apply to the terminals of current
|
|
return transform(shape, current, [&](auto const& s, auto const& c){ return compact_major<Major>(s,c); });
|
|
} else {
|
|
return get<0>(detail::compact<Major>(shape, current));
|
|
}
|
|
|
|
CUTE_GCC_UNREACHABLE;
|
|
}
|
|
|
|
//
|
|
// Compact Col Major
|
|
//
|
|
|
|
struct LayoutLeft {
|
|
template <class Shape>
|
|
using Apply = decltype(compact_major<LayoutLeft>(declval<Shape>()));
|
|
};
|
|
|
|
template <class Shape, class Current = Int<1>>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
compact_col_major(Shape const& shape,
|
|
Current const& current = {})
|
|
{
|
|
return compact_major<LayoutLeft>(shape, current);
|
|
}
|
|
|
|
//
|
|
// Compact Row Major
|
|
//
|
|
|
|
struct LayoutRight {
|
|
template <class Shape>
|
|
using Apply = decltype(compact_major<LayoutRight>(declval<Shape>()));
|
|
};
|
|
|
|
template <class Shape, class Current = Int<1>>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
compact_row_major(Shape const& shape,
|
|
Current const& current = {})
|
|
{
|
|
return compact_major<LayoutRight>(shape, current);
|
|
}
|
|
|
|
//
|
|
// Compact Order -- compute a compact stride based on an ordering of the modes
|
|
//
|
|
|
|
namespace detail {
|
|
|
|
template <class Shape, class Order, class OrigShape, class OrigOrder>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
compact_order(Shape const& shape, Order const& order,
|
|
OrigShape const& orig_shape, OrigOrder const& orig_order)
|
|
{
|
|
if constexpr (is_tuple<Order>::value) {
|
|
return transform(shape, order, [&](auto const& x, auto const& y) { return compact_order(x, y, orig_shape, orig_order); });
|
|
} else {
|
|
auto d = product(transform(orig_shape, orig_order,
|
|
[&](auto const& s, auto const& o) {
|
|
return conditional_return(o < order, product(s), Int<1>{});
|
|
}));
|
|
return compact_col_major(shape, d);
|
|
}
|
|
|
|
CUTE_GCC_UNREACHABLE;
|
|
}
|
|
|
|
} // end namespace detail
|
|
|
|
template <class Shape, class Order>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
compact_order(Shape const& shape, Order const& order)
|
|
{
|
|
if constexpr(is_congruent<Shape,Order>::value) {
|
|
return detail::compact_order(shape, order, flatten_to_tuple(shape), flatten_to_tuple(order));
|
|
}
|
|
else
|
|
{
|
|
// Here we only want to apply order to top-level subshapes and default (col-major) order on other levels
|
|
static_assert(rank(Shape{}) == rank(Order{}), "Need equal rank of shape and order");
|
|
return detail::compact_order(shape, order, shape, order);
|
|
}
|
|
}
|
|
|
|
template <class Shape>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
compact_order(Shape const& shape, GenColMajor const& major)
|
|
{
|
|
return compact_major<LayoutLeft>(shape);
|
|
}
|
|
|
|
template <class Shape>
|
|
CUTE_HOST_DEVICE constexpr
|
|
auto
|
|
compact_order(Shape const& shape, GenRowMajor const& major)
|
|
{
|
|
return compact_major<LayoutRight>(shape);
|
|
}
|
|
|
|
} // end namespace cute
|