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-rw-r--r--internal/ceres/compressed_row_sparse_matrix_test.cc246
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