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Block-sparse to CRS conversion using block-structure
Instead of pre-computing pemutation from block-sparse to CRS order, index of value in CRS matrix is computed in the process of updating values using block-sparse structure. When it is possible to update values via a simple host-to-device copy, block-sparse structure on GPU is discarded after computing CRS structure. Computing index is significantly slower than using pre-computed permutation, but is still hidden by host-to-device transfer. On problems from BAL dataset this results into reduction of extra gpu memory consumption from 33% (permutation stored as 32-bit indices) to ~10% for storing block-sparse structure. Benchmark results: ======================= CUDA Device Properties ====================== Cuda version : 11.8 Device ID : 0 Device name : NVIDIA GeForce RTX 2080 Ti Total GPU memory : 11012 MiB GPU memory available : 10852 MiB Compute capability : 7.5 Warp size : 32 Max threads per block: 1024 Max threads per dim : 1024 1024 64 Max grid size : 2147483647 65535 65535 Multiprocessor count : 68 ==================================================================== Running ./bin/evaluation_benchmark Run on (112 X 3200 MHz CPU s) CPU Caches: L1 Data 32 KiB (x56) L1 Instruction 32 KiB (x56) L2 Unified 1024 KiB (x56) L3 Unified 39424 KiB (x2) Load Average: 24.58, 11.75, 8.52 ----------------------------------------------------------------------- Benchmark Time ----------------------------------------------------------------------- Using on-the-fly computation of CRS index corresponding to block-sparse index: JacobianToCRS<g/final/problem-4585-1324582-pre.txt> 1607 ms JacobianToCRSView<g/final/problem-4585-1324582-pre.txt> 564 ms JacobianToCRSMatrix<g/final/problem-4585-1324582-pre.txt> 2226 ms JacobianToCRSViewUpdate<g/final/problem-4585-1324582-pre.txt> 228 ms JacobianToCRSMatrixUpdate<g/final/problem-4585-1324582-pre.txt> 400 ms Using precomputed permutation: JacobianToCRS</final/problem-4585-1324582-pre.txt> 1656 ms JacobianToCRSView</final/problem-4585-1324582-pre.txt> 553 ms JacobianToCRSMatrix</final/problem-4585-1324582-pre.txt> 2255 ms JacobianToCRSViewUpdate</final/problem-4585-1324582-pre.txt> 228 ms JacobianToCRSMatrixUpdate</final/problem-4585-1324582-pre.txt> 406 ms Performance of JacobianToCRSViewUpdate is still limited by host-to-device transfer, and JacobianToCRSView is faster than computing CRS structure on CPU. Change-Id: Ifb6910fb01ae6071400d36c277846fadc5857964
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@@ -46,7 +46,7 @@ inline int Dimension(const std::vector<Block>& blocks) {
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CudaBlockSparseStructure::CudaBlockSparseStructure(
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const CompressedRowBlockStructure& block_structure, ContextImpl* context)
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: row_block_offsets_(context),
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: first_cell_in_row_block_(context),
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cells_(context),
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row_blocks_(context),
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col_blocks_(context) {
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@@ -56,44 +56,56 @@ CudaBlockSparseStructure::CudaBlockSparseStructure(
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const auto& col_blocks = block_structure.cols;
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// Row block offset is an index of the first cell corresponding to row block
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std::vector<int> row_block_offsets;
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std::vector<int> first_cell_in_row_block;
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// Flat array of all cells from all row-blocks
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std::vector<Cell> cells;
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int f_values_offset = 0;
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is_crs_compatible_ = true;
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num_row_blocks_ = block_structure.rows.size();
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num_col_blocks_ = col_blocks.size();
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row_blocks.reserve(num_row_blocks_);
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row_block_offsets.reserve(num_row_blocks_ + 1);
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first_cell_in_row_block.reserve(num_row_blocks_ + 1);
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num_nonzeros_ = 0;
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num_cells_ = 0;
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sequential_layout_ = true;
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for (const auto& r : block_structure.rows) {
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const int row_block_size = r.block.size;
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if (r.cells.size() > 1 && row_block_size > 1) {
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is_crs_compatible_ = false;
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}
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row_blocks.emplace_back(r.block);
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row_block_offsets.push_back(num_cells_);
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first_cell_in_row_block.push_back(cells.size());
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for (const auto& c : r.cells) {
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cells.emplace_back(c);
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const int col_block_size = col_blocks[c.block_id].size;
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num_nonzeros_ += col_block_size * row_block_size;
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++num_cells_;
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const int cell_size = col_block_size * row_block_size;
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cells.push_back(c);
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sequential_layout_ &= c.position == num_nonzeros_;
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num_nonzeros_ += cell_size;
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}
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}
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row_block_offsets.push_back(num_cells_);
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first_cell_in_row_block.push_back(cells.size());
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num_cells_ = cells.size();
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num_rows_ = Dimension(row_blocks);
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num_cols_ = Dimension(col_blocks);
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is_crs_compatible_ &= sequential_layout_;
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if (VLOG_IS_ON(3)) {
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const size_t row_block_offsets_size =
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row_block_offsets.size() * sizeof(int);
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const size_t first_cell_in_row_block_size =
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first_cell_in_row_block.size() * sizeof(int);
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const size_t cells_size = cells.size() * sizeof(Cell);
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const size_t row_blocks_size = row_blocks.size() * sizeof(Block);
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const size_t col_blocks_size = col_blocks.size() * sizeof(Block);
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const size_t total_size =
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row_block_offsets_size + cells_size + col_blocks_size + row_blocks_size;
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const size_t total_size = first_cell_in_row_block_size + cells_size +
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col_blocks_size + row_blocks_size;
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const double ratio =
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(100. * total_size) / (num_nonzeros_ * (sizeof(int) + sizeof(double)) +
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num_rows_ * sizeof(int));
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VLOG(3) << "\nCudaBlockSparseStructure:\n"
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"\tRow block offsets: "
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<< row_block_offsets_size
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<< first_cell_in_row_block_size
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<< " bytes\n"
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"\tColumn blocks: "
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<< col_blocks_size
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@@ -102,13 +114,11 @@ CudaBlockSparseStructure::CudaBlockSparseStructure(
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<< row_blocks_size
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<< " bytes\n"
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"\tCells: "
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<< cells_size
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<< " bytes\n"
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"\tTotal: "
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<< total_size << " bytes of GPU memory";
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<< cells_size << " bytes\n\tTotal: " << total_size
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<< " bytes of GPU memory (" << ratio << "% of CRS matrix size)";
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}
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row_block_offsets_.CopyFromCpuVector(row_block_offsets);
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first_cell_in_row_block_.CopyFromCpuVector(first_cell_in_row_block);
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cells_.CopyFromCpuVector(cells);
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row_blocks_.CopyFromCpuVector(row_blocks);
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col_blocks_.CopyFromCpuVector(col_blocks);
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