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+// Ceres Solver - A fast non-linear least squares minimizer
+// Copyright 2010, 2011, 2012 Google Inc. All rights reserved.
+// http://code.google.com/p/ceres-solver/
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are met:
+//
+// * Redistributions of source code must retain the above copyright notice,
+// this list of conditions and the following disclaimer.
+// * 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.
+// * Neither the name of Google Inc. 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 OWNER 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.
+//
+// Author: sameeragarwal@google.com (Sameer Agarwal)
+
+#include "ceres/compressed_row_sparse_matrix.h"
+
+#include <algorithm>
+#include <vector>
+#include "ceres/crs_matrix.h"
+#include "ceres/internal/port.h"
+#include "ceres/matrix_proto.h"
+
+namespace ceres {
+namespace internal {
+namespace {
+
+// Helper functor used by the constructor for reordering the contents
+// of a TripletSparseMatrix. This comparator assumes thay there are no
+// duplicates in the pair of arrays rows and cols, i.e., there is no
+// indices i and j (not equal to each other) s.t.
+//
+// rows[i] == rows[j] && cols[i] == cols[j]
+//
+// If this is the case, this functor will not be a StrictWeakOrdering.
+struct RowColLessThan {
+ RowColLessThan(const int* rows, const int* cols)
+ : rows(rows), cols(cols) {
+ }
+
+ bool operator()(const int x, const int y) const {
+ if (rows[x] == rows[y]) {
+ return (cols[x] < cols[y]);
+ }
+ return (rows[x] < rows[y]);
+ }
+
+ const int* rows;
+ const int* cols;
+};
+
+} // namespace
+
+// This constructor gives you a semi-initialized CompressedRowSparseMatrix.
+CompressedRowSparseMatrix::CompressedRowSparseMatrix(int num_rows,
+ int num_cols,
+ int max_num_nonzeros) {
+ num_rows_ = num_rows;
+ num_cols_ = num_cols;
+ max_num_nonzeros_ = max_num_nonzeros;
+
+ VLOG(1) << "# of rows: " << num_rows_ << " # of columns: " << num_cols_
+ << " max_num_nonzeros: " << max_num_nonzeros_
+ << ". Allocating " << (num_rows_ + 1) * sizeof(int) + // NOLINT
+ max_num_nonzeros_ * sizeof(int) + // NOLINT
+ max_num_nonzeros_ * sizeof(double); // NOLINT
+
+ rows_.reset(new int[num_rows_ + 1]);
+ cols_.reset(new int[max_num_nonzeros_]);
+ values_.reset(new double[max_num_nonzeros_]);
+
+ fill(rows_.get(), rows_.get() + num_rows_ + 1, 0);
+ fill(cols_.get(), cols_.get() + max_num_nonzeros_, 0);
+ fill(values_.get(), values_.get() + max_num_nonzeros_, 0);
+}
+
+CompressedRowSparseMatrix::CompressedRowSparseMatrix(
+ const TripletSparseMatrix& m) {
+ num_rows_ = m.num_rows();
+ num_cols_ = m.num_cols();
+ max_num_nonzeros_ = m.max_num_nonzeros();
+
+ // index is the list of indices into the TripletSparseMatrix m.
+ vector<int> index(m.num_nonzeros(), 0);
+ for (int i = 0; i < m.num_nonzeros(); ++i) {
+ index[i] = i;
+ }
+
+ // Sort index such that the entries of m are ordered by row and ties
+ // are broken by column.
+ sort(index.begin(), index.end(), RowColLessThan(m.rows(), m.cols()));
+
+ VLOG(1) << "# of rows: " << num_rows_ << " # of columns: " << num_cols_
+ << " max_num_nonzeros: " << max_num_nonzeros_
+ << ". Allocating " << (num_rows_ + 1) * sizeof(int) + // NOLINT
+ max_num_nonzeros_ * sizeof(int) + // NOLINT
+ max_num_nonzeros_ * sizeof(double); // NOLINT
+
+ rows_.reset(new int[num_rows_ + 1]);
+ cols_.reset(new int[max_num_nonzeros_]);
+ values_.reset(new double[max_num_nonzeros_]);
+
+ // rows_ = 0
+ fill(rows_.get(), rows_.get() + num_rows_ + 1, 0);
+
+ // Copy the contents of the cols and values array in the order given
+ // by index and count the number of entries in each row.
+ for (int i = 0; i < m.num_nonzeros(); ++i) {
+ const int idx = index[i];
+ ++rows_[m.rows()[idx] + 1];
+ cols_[i] = m.cols()[idx];
+ values_[i] = m.values()[idx];
+ }
+
+ // Find the cumulative sum of the row counts.
+ for (int i = 1; i < num_rows_ + 1; ++i) {
+ rows_[i] += rows_[i-1];
+ }
+
+ CHECK_EQ(num_nonzeros(), m.num_nonzeros());
+}
+
+#ifndef CERES_NO_PROTOCOL_BUFFERS
+CompressedRowSparseMatrix::CompressedRowSparseMatrix(
+ const SparseMatrixProto& outer_proto) {
+ CHECK(outer_proto.has_compressed_row_matrix());
+
+ const CompressedRowSparseMatrixProto& proto =
+ outer_proto.compressed_row_matrix();
+
+ num_rows_ = proto.num_rows();
+ num_cols_ = proto.num_cols();
+
+ rows_.reset(new int[proto.rows_size()]);
+ cols_.reset(new int[proto.cols_size()]);
+ values_.reset(new double[proto.values_size()]);
+
+ for (int i = 0; i < proto.rows_size(); ++i) {
+ rows_[i] = proto.rows(i);
+ }
+
+ CHECK_EQ(proto.rows_size(), num_rows_ + 1);
+ CHECK_EQ(proto.cols_size(), proto.values_size());
+ CHECK_EQ(proto.cols_size(), rows_[num_rows_]);
+
+ for (int i = 0; i < proto.cols_size(); ++i) {
+ cols_[i] = proto.cols(i);
+ values_[i] = proto.values(i);
+ }
+
+ max_num_nonzeros_ = proto.cols_size();
+}
+#endif
+
+CompressedRowSparseMatrix::CompressedRowSparseMatrix(const double* diagonal,
+ int num_rows) {
+ CHECK_NOTNULL(diagonal);
+
+ num_rows_ = num_rows;
+ num_cols_ = num_rows;
+ max_num_nonzeros_ = num_rows;
+
+ rows_.reset(new int[num_rows_ + 1]);
+ cols_.reset(new int[num_rows_]);
+ values_.reset(new double[num_rows_]);
+
+ rows_[0] = 0;
+ for (int i = 0; i < num_rows_; ++i) {
+ cols_[i] = i;
+ values_[i] = diagonal[i];
+ rows_[i + 1] = i + 1;
+ }
+
+ CHECK_EQ(num_nonzeros(), num_rows);
+}
+
+CompressedRowSparseMatrix::~CompressedRowSparseMatrix() {
+}
+
+void CompressedRowSparseMatrix::SetZero() {
+ fill(values_.get(), values_.get() + num_nonzeros(), 0.0);
+}
+
+void CompressedRowSparseMatrix::RightMultiply(const double* x,
+ double* y) const {
+ CHECK_NOTNULL(x);
+ CHECK_NOTNULL(y);
+
+ for (int r = 0; r < num_rows_; ++r) {
+ for (int idx = rows_[r]; idx < rows_[r + 1]; ++idx) {
+ y[r] += values_[idx] * x[cols_[idx]];
+ }
+ }
+}
+
+void CompressedRowSparseMatrix::LeftMultiply(const double* x, double* y) const {
+ CHECK_NOTNULL(x);
+ CHECK_NOTNULL(y);
+
+ for (int r = 0; r < num_rows_; ++r) {
+ for (int idx = rows_[r]; idx < rows_[r + 1]; ++idx) {
+ y[cols_[idx]] += values_[idx] * x[r];
+ }
+ }
+}
+
+void CompressedRowSparseMatrix::SquaredColumnNorm(double* x) const {
+ CHECK_NOTNULL(x);
+
+ fill(x, x + num_cols_, 0.0);
+ for (int idx = 0; idx < rows_[num_rows_]; ++idx) {
+ x[cols_[idx]] += values_[idx] * values_[idx];
+ }
+}
+
+void CompressedRowSparseMatrix::ScaleColumns(const double* scale) {
+ CHECK_NOTNULL(scale);
+
+ for (int idx = 0; idx < rows_[num_rows_]; ++idx) {
+ values_[idx] *= scale[cols_[idx]];
+ }
+}
+
+void CompressedRowSparseMatrix::ToDenseMatrix(Matrix* dense_matrix) const {
+ CHECK_NOTNULL(dense_matrix);
+ dense_matrix->resize(num_rows_, num_cols_);
+ dense_matrix->setZero();
+
+ for (int r = 0; r < num_rows_; ++r) {
+ for (int idx = rows_[r]; idx < rows_[r + 1]; ++idx) {
+ (*dense_matrix)(r, cols_[idx]) = values_[idx];
+ }
+ }
+}
+
+#ifndef CERES_NO_PROTOCOL_BUFFERS
+void CompressedRowSparseMatrix::ToProto(SparseMatrixProto* outer_proto) const {
+ CHECK_NOTNULL(outer_proto);
+
+ outer_proto->Clear();
+ CompressedRowSparseMatrixProto* proto
+ = outer_proto->mutable_compressed_row_matrix();
+
+ proto->set_num_rows(num_rows_);
+ proto->set_num_cols(num_cols_);
+
+ for (int r = 0; r < num_rows_ + 1; ++r) {
+ proto->add_rows(rows_[r]);
+ }
+
+ for (int idx = 0; idx < rows_[num_rows_]; ++idx) {
+ proto->add_cols(cols_[idx]);
+ proto->add_values(values_[idx]);
+ }
+}
+#endif
+
+void CompressedRowSparseMatrix::DeleteRows(int delta_rows) {
+ CHECK_GE(delta_rows, 0);
+ CHECK_LE(delta_rows, num_rows_);
+
+ int new_num_rows = num_rows_ - delta_rows;
+
+ num_rows_ = new_num_rows;
+ int* new_rows = new int[num_rows_ + 1];
+ copy(rows_.get(), rows_.get() + num_rows_ + 1, new_rows);
+ rows_.reset(new_rows);
+}
+
+void CompressedRowSparseMatrix::AppendRows(const CompressedRowSparseMatrix& m) {
+ CHECK_EQ(m.num_cols(), num_cols_);
+
+ // Check if there is enough space. If not, then allocate new arrays
+ // to hold the combined matrix and copy the contents of this matrix
+ // into it.
+ if (max_num_nonzeros_ < num_nonzeros() + m.num_nonzeros()) {
+ int new_max_num_nonzeros = num_nonzeros() + m.num_nonzeros();
+
+ VLOG(1) << "Reallocating " << sizeof(int) * new_max_num_nonzeros; // NOLINT
+
+ int* new_cols = new int[new_max_num_nonzeros];
+ copy(cols_.get(), cols_.get() + max_num_nonzeros_, new_cols);
+ cols_.reset(new_cols);
+
+ double* new_values = new double[new_max_num_nonzeros];
+ copy(values_.get(), values_.get() + max_num_nonzeros_, new_values);
+ values_.reset(new_values);
+
+ max_num_nonzeros_ = new_max_num_nonzeros;
+ }
+
+ // Copy the contents of m into this matrix.
+ copy(m.cols(), m.cols() + m.num_nonzeros(), cols_.get() + num_nonzeros());
+ copy(m.values(),
+ m.values() + m.num_nonzeros(),
+ values_.get() + num_nonzeros());
+
+ // Create the new rows array to hold the enlarged matrix.
+ int* new_rows = new int[num_rows_ + m.num_rows() + 1];
+ // The first num_rows_ entries are the same
+ copy(rows_.get(), rows_.get() + num_rows_, new_rows);
+
+ // new_rows = [rows_, m.row() + rows_[num_rows_]]
+ fill(new_rows + num_rows_,
+ new_rows + num_rows_ + m.num_rows() + 1,
+ rows_[num_rows_]);
+
+ for (int r = 0; r < m.num_rows() + 1; ++r) {
+ new_rows[num_rows_ + r] += m.rows()[r];
+ }
+
+ rows_.reset(new_rows);
+ num_rows_ += m.num_rows();
+}
+
+void CompressedRowSparseMatrix::ToTextFile(FILE* file) const {
+ CHECK_NOTNULL(file);
+ for (int r = 0; r < num_rows_; ++r) {
+ for (int idx = rows_[r]; idx < rows_[r + 1]; ++idx) {
+ fprintf(file, "% 10d % 10d %17f\n", r, cols_[idx], values_[idx]);
+ }
+ }
+}
+
+void CompressedRowSparseMatrix::ToCRSMatrix(CRSMatrix* matrix) const {
+ matrix->num_rows = num_rows();
+ matrix->num_cols = num_cols();
+
+ matrix->rows.resize(matrix->num_rows + 1);
+ matrix->cols.resize(num_nonzeros());
+ matrix->values.resize(num_nonzeros());
+
+ copy(rows_.get(), rows_.get() + matrix->num_rows + 1, matrix->rows.begin());
+ copy(cols_.get(), cols_.get() + num_nonzeros(), matrix->cols.begin());
+ copy(values_.get(), values_.get() + num_nonzeros(), matrix->values.begin());
+}
+
+} // namespace internal
+} // namespace ceres