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/*******************************************************************************
* Copyright 2023 Intel Corporation
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*******************************************************************************/
#include "utils.hpp"
namespace dnnl {
namespace impl {
namespace gpu {
namespace intel {
namespace reduction {
// Convert a block structure + dims to a list of zero-padding structs
// Note: Doesn't include blocking structures that don't require zero-padding.
std::vector<zero_padding_t> calc_zero_padding(
const block_layout_t &blocks, const memory_desc_wrapper &mdw) {
std::vector<zero_padding_t> out;
const blocking_desc_t &src_blocking = mdw.blocking_desc();
const dim_t *dims = mdw.dims();
for (int i = 0; i < src_blocking.inner_nblks; i++) {
// Check if this needs zero-padding
const dim_idx_t dim_idx = into<dim_idx_t>(src_blocking.inner_idxs[i]);
const dim_t blk_size = src_blocking.inner_blks[i];
if (dims[dim_idx] % blk_size != 0) {
// Needs zero-padding: Find the 1 or 2 blocks related to this zero-padding
const block_t *inner_block = nullptr;
const block_t *outer_block = nullptr;
for (size_t j = 0; j < blocks.size(); j++) {
const block_t &block = blocks[j];
if (block.dim_idx == dim_idx) {
if (!inner_block) {
inner_block = █
} else {
outer_block = █
break;
}
}
}
assert(inner_block);
block_t default_outer = block_t(
static_cast<int>(dim_idx), 1, mdw.strides()[dim_idx]);
if (!outer_block) outer_block = &default_outer;
out.emplace_back(dims[dim_idx], *outer_block, *inner_block);
}
}
return out;
}
block_t merge_blocks(
const block_layout_t &blocks, size_t start_idx, size_t end_idx) {
block_t ret = blocks[start_idx];
for (size_t i = start_idx + 1; i < end_idx; i++) {
const block_t &next_block = blocks[i];
// Assumes they're ordered by increasing stride
assert(ret.stride * ret.block == next_block.stride);
ret.block *= next_block.block;
}
return ret;
}
// Produce a subproblem needed to perform the reduction of red_block after a given subproblem
subproblem_t chain_reductions(
const subproblem_t &prev_subprb, const block_t &red_block) {
// Copy shape/block layout to the next subproblem
const dim_t outer_stride = dim_t(red_block.stride) * red_block.block;
const dim_t nelems
= prev_subprb.inner_block.block * prev_subprb.outer_block.block;
subproblem_t ret(
dim_t(red_block.stride), red_block.block, nelems / outer_stride);
ret.src_zpads = prev_subprb.dst_zpads;
return ret;
}
// Convert a src/dst pair to a sequence of reduction subproblems
// by normalizing dimensions via combining blocks when possible
// Example: --stag=aBx16b --dtag=aBx16b 1x30x4x2x2:1x1x1x2x2
// 1) use compute_block_structure to get rearrange src to: 2'x'4x2x2x16'
// (blocks with ' need to be reduced)
// 2) Create a subproblem to reduce the innermost block, combining
// all other dims to one outer dim. This is equivalent to:
// 32x16x1:32x1x1 (+src zero padding)
// After this step, we're left with the intermediate structure 2'x4'x2x2x1
// 3) Create another subproblem to reduce the remaining dims (combining to one
// block because sequential blocks can be):
// 1x8x4:1x1x4 (+dst zero padding)
// 4) Attach src zero-padding to first problem and dst zero-padding to the last:
// src: (idx / 1) % 16 + [(idx / 256) % 2] * 16 < 30 aren't zeros
// dst: (idx / 1) % 16 + [(idx / 64) % 1] * 16 < 1 aren't zeros
status_t generate_phases(const memory_desc_t *src, const memory_desc_t *dst,
std::vector<subproblem_t> &subprbs) {
int reduced_dim_mask
= ~utils::get_dims_mask(src->dims, dst->dims, src->ndims)
& ((1 << src->ndims) - 1);
auto is_masked
= [](int mask, dim_t dim_idx) { return mask & (1 << dim_idx); };
memory_desc_wrapper src_mdw(src);
memory_desc_wrapper dst_mdw(dst);
block_layout_t src_blocks(src_mdw);
block_layout_t dst_blocks(dst_mdw);
// Requirement: dst blocks match src blocks with the exception of reduced dims (these
// blocks are removed) and dst zero-padding on reduced dims (these are added back in)
block_layout_t exp_dst_blocks;
int dst_zpad_mask
= ~utils::get_dims_mask(dst->dims, dst->padded_dims, dst->ndims);
dim_t stride = 1;
for (const auto &block : src_blocks) {
if (!is_masked(reduced_dim_mask, block.dim_idx)) {
// Non-reduced dims get transferred directly to dst (no reorders)
exp_dst_blocks.append(block);
exp_dst_blocks.back().stride = stride;
stride *= block.block;
} else if (is_masked(dst_zpad_mask, block.dim_idx)) {
// dst-zpadded, reduced dims get added to dst as well
exp_dst_blocks.append(block);
exp_dst_blocks.back().stride = stride;
stride *= block.block;
// Outer blocks are removed still (first encountered block is always the inner one)
dst_zpad_mask &= ~(1 << block.dim_idx);
} // Otherwise, it's reduced and removed, not added to dst
}
exp_dst_blocks = exp_dst_blocks.normalized();
// Make sure dst matches the expected format
if (dst_blocks.size() != exp_dst_blocks.size()) {
return status::unimplemented;
}
for (size_t i = 0; i < dst_blocks.size(); i++) {
const block_t dst_block = dst_blocks[i];
const block_t exp_dst_block = exp_dst_blocks[i];
if (dst_block != exp_dst_block) { return status::unimplemented; }
}
std::vector<block_t> reduction_blocks;
static constexpr size_t DIM_NOT_FOUND = std::numeric_limits<size_t>::max();
size_t first_reduction_dim = DIM_NOT_FOUND;
for (size_t i = 0; i < src_blocks.size(); i++) {
block_t block = src_blocks[i];
if (first_reduction_dim == DIM_NOT_FOUND
&& is_masked(reduced_dim_mask, block.dim_idx)) {
first_reduction_dim = i;
} else if (first_reduction_dim != DIM_NOT_FOUND
&& !is_masked(reduced_dim_mask, block.dim_idx)) {
reduction_blocks.push_back(
merge_blocks(src_blocks, first_reduction_dim, i));
first_reduction_dim = DIM_NOT_FOUND;
}
}
if (first_reduction_dim != DIM_NOT_FOUND) {
reduction_blocks.push_back(merge_blocks(
src_blocks, first_reduction_dim, src_blocks.size()));
}
// Sequentially create subproblems after a partial reduction
const dim_t nelems = src_mdw.nelems(true);
subprbs.emplace_back(nelems, 1, 1);
subproblem_t &base_subprb = subprbs.back();
base_subprb.dst_zpads = calc_zero_padding(src_blocks, src_mdw);
for (const auto &red_block : reduction_blocks) {
const subproblem_t &prev_subprb = subprbs.back();
subprbs.push_back(chain_reductions(prev_subprb, red_block));
// Update the strides of all remaining reduction blocks after subproblem-i
for (block_t &other_block : reduction_blocks) {
if (other_block.stride > red_block.stride) {
other_block.stride /= red_block.block;
}
}
}
// Remove the base subproblem from the list
subprbs.erase(subprbs.begin());
// Step 7: Potentially add dst-zero-padding if needed for the final reduction dimensions.
subproblem_t &last_subprb = subprbs.back();
const auto &dst_blk = dst_mdw.blocking_desc();
for (size_t i = 0; i < static_cast<size_t>(dst_blk.inner_nblks); i++) {
const dim_idx_t dim_idx = into<dim_idx_t>(dst_blk.inner_idxs[i]);
const bool needs_zero_padding
= (dst_mdw.dims()[dim_idx] < dst_mdw.padded_dims()[dim_idx]);
bool accounted_for = false;
for (const auto &zpad : last_subprb.dst_zpads) {
if (zpad.dim_idx == dim_idx) {
accounted_for = true;
break;
}
}
if (needs_zero_padding && !accounted_for) {
const block_t default_outer(dim_idx, 1, dst_mdw.strides()[dim_idx]);
// Get the first (inner) and second (outer) block for this dim
const block_t *inner = nullptr;
const block_t *outer = &default_outer;
for (const auto &block : dst_blocks) {
if (block.dim_idx == dim_idx) {
if (!inner) {
inner = █
} else {
outer = █
break;
}
}
}
assert(inner);
zero_padding_t zpad(dst_mdw.dims()[dim_idx], *outer, *inner);
last_subprb.dst_zpads.push_back(zpad);
}
}
// Sort dst zpadding by increasing inner stride
std::sort(last_subprb.dst_zpads.begin(), last_subprb.dst_zpads.end(),
[](zero_padding_t &first, zero_padding_t &last) -> bool {
return first.inner_stride < last.inner_stride;
});
return status::success;
}
} // namespace reduction
} // namespace intel
} // namespace gpu
} // namespace impl
} // namespace dnnl