diff options
Diffstat (limited to 'internal/ceres/compressed_row_sparse_matrix_test.cc')
-rw-r--r-- | internal/ceres/compressed_row_sparse_matrix_test.cc | 246 |
1 files changed, 246 insertions, 0 deletions
diff --git a/internal/ceres/compressed_row_sparse_matrix_test.cc b/internal/ceres/compressed_row_sparse_matrix_test.cc index 02109cc..999a661 100644 --- a/internal/ceres/compressed_row_sparse_matrix_test.cc +++ b/internal/ceres/compressed_row_sparse_matrix_test.cc @@ -30,11 +30,14 @@ #include "ceres/compressed_row_sparse_matrix.h" +#include <numeric> #include "ceres/casts.h" #include "ceres/crs_matrix.h" +#include "ceres/cxsparse.h" #include "ceres/internal/eigen.h" #include "ceres/internal/scoped_ptr.h" #include "ceres/linear_least_squares_problems.h" +#include "ceres/random.h" #include "ceres/triplet_sparse_matrix.h" #include "glog/logging.h" #include "gtest/gtest.h" @@ -76,6 +79,14 @@ class CompressedRowSparseMatrixTest : public ::testing::Test { num_rows = tsm->num_rows(); num_cols = tsm->num_cols(); + + vector<int>* row_blocks = crsm->mutable_row_blocks(); + row_blocks->resize(num_rows); + std::fill(row_blocks->begin(), row_blocks->end(), 1); + + vector<int>* col_blocks = crsm->mutable_col_blocks(); + col_blocks->resize(num_cols); + std::fill(col_blocks->begin(), col_blocks->end(), 1); } int num_rows; @@ -126,6 +137,9 @@ TEST_F(CompressedRowSparseMatrixTest, Scale) { } TEST_F(CompressedRowSparseMatrixTest, DeleteRows) { + // Clear the row and column blocks as these are purely scalar tests. + crsm->mutable_row_blocks()->clear(); + crsm->mutable_col_blocks()->clear(); for (int i = 0; i < num_rows; ++i) { tsm->Resize(num_rows - i, num_cols); crsm->DeleteRows(crsm->num_rows() - tsm->num_rows()); @@ -134,6 +148,10 @@ TEST_F(CompressedRowSparseMatrixTest, DeleteRows) { } TEST_F(CompressedRowSparseMatrixTest, AppendRows) { + // Clear the row and column blocks as these are purely scalar tests. + crsm->mutable_row_blocks()->clear(); + crsm->mutable_col_blocks()->clear(); + for (int i = 0; i < num_rows; ++i) { TripletSparseMatrix tsm_appendage(*tsm); tsm_appendage.Resize(i, num_cols); @@ -146,6 +164,47 @@ TEST_F(CompressedRowSparseMatrixTest, AppendRows) { } } +TEST_F(CompressedRowSparseMatrixTest, AppendAndDeleteBlockDiagonalMatrix) { + int num_diagonal_rows = crsm->num_cols(); + + scoped_array<double> diagonal(new double[num_diagonal_rows]); + for (int i = 0; i < num_diagonal_rows; ++i) { + diagonal[i] =i; + } + + vector<int> row_and_column_blocks; + row_and_column_blocks.push_back(1); + row_and_column_blocks.push_back(2); + row_and_column_blocks.push_back(2); + + const vector<int> pre_row_blocks = crsm->row_blocks(); + const vector<int> pre_col_blocks = crsm->col_blocks(); + + scoped_ptr<CompressedRowSparseMatrix> appendage( + CompressedRowSparseMatrix::CreateBlockDiagonalMatrix( + diagonal.get(), row_and_column_blocks)); + LOG(INFO) << appendage->row_blocks().size(); + + crsm->AppendRows(*appendage); + + const vector<int> post_row_blocks = crsm->row_blocks(); + const vector<int> post_col_blocks = crsm->col_blocks(); + + vector<int> expected_row_blocks = pre_row_blocks; + expected_row_blocks.insert(expected_row_blocks.end(), + row_and_column_blocks.begin(), + row_and_column_blocks.end()); + + vector<int> expected_col_blocks = pre_col_blocks; + + EXPECT_EQ(expected_row_blocks, crsm->row_blocks()); + EXPECT_EQ(expected_col_blocks, crsm->col_blocks()); + + crsm->DeleteRows(num_diagonal_rows); + EXPECT_EQ(crsm->row_blocks(), pre_row_blocks); + EXPECT_EQ(crsm->col_blocks(), pre_col_blocks); +} + TEST_F(CompressedRowSparseMatrixTest, ToDenseMatrix) { Matrix tsm_dense; Matrix crsm_dense; @@ -279,10 +338,22 @@ TEST(CompressedRowSparseMatrix, Transpose) { // 13 0 14 15 9 0 // 0 16 17 0 0 0 + // Block structure: + // A A A A B B + // A A A A B B + // A A A A B B + // C C C C D D + // C C C C D D + // C C C C D D + CompressedRowSparseMatrix matrix(5, 6, 30); int* rows = matrix.mutable_rows(); int* cols = matrix.mutable_cols(); double* values = matrix.mutable_values(); + matrix.mutable_row_blocks()->push_back(3); + matrix.mutable_row_blocks()->push_back(3); + matrix.mutable_col_blocks()->push_back(4); + matrix.mutable_col_blocks()->push_back(2); rows[0] = 0; cols[0] = 1; @@ -317,6 +388,16 @@ TEST(CompressedRowSparseMatrix, Transpose) { scoped_ptr<CompressedRowSparseMatrix> transpose(matrix.Transpose()); + ASSERT_EQ(transpose->row_blocks().size(), matrix.col_blocks().size()); + for (int i = 0; i < transpose->row_blocks().size(); ++i) { + EXPECT_EQ(transpose->row_blocks()[i], matrix.col_blocks()[i]); + } + + ASSERT_EQ(transpose->col_blocks().size(), matrix.row_blocks().size()); + for (int i = 0; i < transpose->col_blocks().size(); ++i) { + EXPECT_EQ(transpose->col_blocks()[i], matrix.row_blocks()[i]); + } + Matrix dense_matrix; matrix.ToDenseMatrix(&dense_matrix); @@ -325,5 +406,170 @@ TEST(CompressedRowSparseMatrix, Transpose) { EXPECT_NEAR((dense_matrix - dense_transpose.transpose()).norm(), 0.0, 1e-14); } +#ifndef CERES_NO_CXSPARSE + +struct RandomMatrixOptions { + int num_row_blocks; + int min_row_block_size; + int max_row_block_size; + int num_col_blocks; + int min_col_block_size; + int max_col_block_size; + double block_density; +}; + +CompressedRowSparseMatrix* CreateRandomCompressedRowSparseMatrix( + const RandomMatrixOptions& options) { + vector<int> row_blocks; + for (int i = 0; i < options.num_row_blocks; ++i) { + const int delta_block_size = + Uniform(options.max_row_block_size - options.min_row_block_size); + row_blocks.push_back(options.min_row_block_size + delta_block_size); + } + + vector<int> col_blocks; + for (int i = 0; i < options.num_col_blocks; ++i) { + const int delta_block_size = + Uniform(options.max_col_block_size - options.min_col_block_size); + col_blocks.push_back(options.min_col_block_size + delta_block_size); + } + + vector<int> rows; + vector<int> cols; + vector<double> values; + + while (values.size() == 0) { + int row_block_begin = 0; + for (int r = 0; r < options.num_row_blocks; ++r) { + int col_block_begin = 0; + for (int c = 0; c < options.num_col_blocks; ++c) { + if (RandDouble() <= options.block_density) { + for (int i = 0; i < row_blocks[r]; ++i) { + for (int j = 0; j < col_blocks[c]; ++j) { + rows.push_back(row_block_begin + i); + cols.push_back(col_block_begin + j); + values.push_back(RandNormal()); + } + } + } + col_block_begin += col_blocks[c]; + } + row_block_begin += row_blocks[r]; + } + } + + const int num_rows = std::accumulate(row_blocks.begin(), row_blocks.end(), 0); + const int num_cols = std::accumulate(col_blocks.begin(), col_blocks.end(), 0); + const int num_nonzeros = values.size(); + + TripletSparseMatrix tsm(num_rows, num_cols, num_nonzeros); + std::copy(rows.begin(), rows.end(), tsm.mutable_rows()); + std::copy(cols.begin(), cols.end(), tsm.mutable_cols()); + std::copy(values.begin(), values.end(), tsm.mutable_values()); + tsm.set_num_nonzeros(num_nonzeros); + CompressedRowSparseMatrix* matrix = new CompressedRowSparseMatrix(tsm); + (*matrix->mutable_row_blocks()) = row_blocks; + (*matrix->mutable_col_blocks()) = col_blocks; + return matrix; +} + +void ToDenseMatrix(const cs_di* matrix, Matrix* dense_matrix) { + dense_matrix->resize(matrix->m, matrix->n); + dense_matrix->setZero(); + + for (int c = 0; c < matrix->n; ++c) { + for (int idx = matrix->p[c]; idx < matrix->p[c + 1]; ++idx) { + const int r = matrix->i[idx]; + (*dense_matrix)(r, c) = matrix->x[idx]; + } + } +} + +TEST(CompressedRowSparseMatrix, ComputeOuterProduct) { + // "Randomly generated seed." + SetRandomState(29823); + int kMaxNumRowBlocks = 10; + int kMaxNumColBlocks = 10; + int kNumTrials = 10; + + CXSparse cxsparse; + const double kTolerance = 1e-18; + + // Create a random matrix, compute its outer product using CXSParse + // and ComputeOuterProduct. Convert both matrices to dense matrices + // and compare their upper triangular parts. They should be within + // kTolerance of each other. + for (int num_row_blocks = 1; + num_row_blocks < kMaxNumRowBlocks; + ++num_row_blocks) { + for (int num_col_blocks = 1; + num_col_blocks < kMaxNumColBlocks; + ++num_col_blocks) { + for (int trial = 0; trial < kNumTrials; ++trial) { + + + RandomMatrixOptions options; + options.num_row_blocks = num_row_blocks; + options.num_col_blocks = num_col_blocks; + options.min_row_block_size = 1; + options.max_row_block_size = 5; + options.min_col_block_size = 1; + options.max_col_block_size = 10; + options.block_density = std::max(0.1, RandDouble()); + + VLOG(2) << "num row blocks: " << options.num_row_blocks; + VLOG(2) << "num col blocks: " << options.num_col_blocks; + VLOG(2) << "min row block size: " << options.min_row_block_size; + VLOG(2) << "max row block size: " << options.max_row_block_size; + VLOG(2) << "min col block size: " << options.min_col_block_size; + VLOG(2) << "max col block size: " << options.max_col_block_size; + VLOG(2) << "block density: " << options.block_density; + + scoped_ptr<CompressedRowSparseMatrix> matrix( + CreateRandomCompressedRowSparseMatrix(options)); + + cs_di cs_matrix_transpose = cxsparse.CreateSparseMatrixTransposeView(matrix.get()); + cs_di* cs_matrix = cxsparse.TransposeMatrix(&cs_matrix_transpose); + cs_di* expected_outer_product = + cxsparse.MatrixMatrixMultiply(&cs_matrix_transpose, cs_matrix); + + vector<int> program; + scoped_ptr<CompressedRowSparseMatrix> outer_product( + CompressedRowSparseMatrix::CreateOuterProductMatrixAndProgram( + *matrix, &program)); + CompressedRowSparseMatrix::ComputeOuterProduct(*matrix, + program, + outer_product.get()); + + cs_di actual_outer_product = + cxsparse.CreateSparseMatrixTransposeView(outer_product.get()); + + ASSERT_EQ(actual_outer_product.m, actual_outer_product.n); + ASSERT_EQ(expected_outer_product->m, expected_outer_product->n); + ASSERT_EQ(actual_outer_product.m, expected_outer_product->m); + + Matrix actual_matrix; + Matrix expected_matrix; + + ToDenseMatrix(expected_outer_product, &expected_matrix); + expected_matrix.triangularView<Eigen::StrictlyLower>().setZero(); + + ToDenseMatrix(&actual_outer_product, &actual_matrix); + const double diff_norm = (actual_matrix - expected_matrix).norm() / expected_matrix.norm(); + ASSERT_NEAR(diff_norm, 0.0, kTolerance) + << "expected: \n" + << expected_matrix + << "\nactual: \n" + << actual_matrix; + + cxsparse.Free(cs_matrix); + cxsparse.Free(expected_outer_product); + } + } + } +} + +#endif // CERES_NO_CXSPARSE + } // namespace internal } // namespace ceres |