From 44861dcbfeee041223c4aac1ee075e92fa4daa01 Mon Sep 17 00:00:00 2001
From: Stanislaw Halik <sthalik@misaki.pl>
Date: Sun, 18 Sep 2016 12:42:15 +0200
Subject: update

---
 eigen/doc/special_examples/CMakeLists.txt          | 21 +++++++++++
 .../special_examples/Tutorial_sparse_example.cpp   | 32 ++++++++++++++++
 .../Tutorial_sparse_example_details.cpp            | 44 ++++++++++++++++++++++
 3 files changed, 97 insertions(+)
 create mode 100644 eigen/doc/special_examples/CMakeLists.txt
 create mode 100644 eigen/doc/special_examples/Tutorial_sparse_example.cpp
 create mode 100644 eigen/doc/special_examples/Tutorial_sparse_example_details.cpp

(limited to 'eigen/doc/special_examples')

diff --git a/eigen/doc/special_examples/CMakeLists.txt b/eigen/doc/special_examples/CMakeLists.txt
new file mode 100644
index 0000000..3ab75db
--- /dev/null
+++ b/eigen/doc/special_examples/CMakeLists.txt
@@ -0,0 +1,21 @@
+if(NOT EIGEN_TEST_NOQT)
+  find_package(Qt4)
+  if(QT4_FOUND)
+    include(${QT_USE_FILE})
+  endif()
+endif(NOT EIGEN_TEST_NOQT)
+
+if(QT4_FOUND)
+  add_executable(Tutorial_sparse_example Tutorial_sparse_example.cpp Tutorial_sparse_example_details.cpp)
+  target_link_libraries(Tutorial_sparse_example ${EIGEN_STANDARD_LIBRARIES_TO_LINK_TO} ${QT_QTCORE_LIBRARY} ${QT_QTGUI_LIBRARY})
+
+  add_custom_command(
+    TARGET Tutorial_sparse_example
+    POST_BUILD
+    COMMAND ${CMAKE_COMMAND} -E make_directory ${CMAKE_CURRENT_BINARY_DIR}/../html/
+    COMMAND Tutorial_sparse_example ARGS ${CMAKE_CURRENT_BINARY_DIR}/../html/Tutorial_sparse_example.jpeg
+  )
+
+  add_dependencies(all_examples Tutorial_sparse_example)
+endif(QT4_FOUND)
+
diff --git a/eigen/doc/special_examples/Tutorial_sparse_example.cpp b/eigen/doc/special_examples/Tutorial_sparse_example.cpp
new file mode 100644
index 0000000..002f19f
--- /dev/null
+++ b/eigen/doc/special_examples/Tutorial_sparse_example.cpp
@@ -0,0 +1,32 @@
+#include <Eigen/Sparse>
+#include <vector>
+
+typedef Eigen::SparseMatrix<double> SpMat; // declares a column-major sparse matrix type of double
+typedef Eigen::Triplet<double> T;
+
+void buildProblem(std::vector<T>& coefficients, Eigen::VectorXd& b, int n);
+void saveAsBitmap(const Eigen::VectorXd& x, int n, const char* filename);
+
+int main(int argc, char** argv)
+{
+  int n = 300;  // size of the image
+  int m = n*n;  // number of unknows (=number of pixels)
+
+  // Assembly:
+  std::vector<T> coefficients;            // list of non-zeros coefficients
+  Eigen::VectorXd b(m);                   // the right hand side-vector resulting from the constraints
+  buildProblem(coefficients, b, n);
+
+  SpMat A(m,m);
+  A.setFromTriplets(coefficients.begin(), coefficients.end());
+
+  // Solving:
+  Eigen::SimplicialCholesky<SpMat> chol(A);  // performs a Cholesky factorization of A
+  Eigen::VectorXd x = chol.solve(b);         // use the factorization to solve for the given right hand side
+
+  // Export the result to a file:
+  saveAsBitmap(x, n, argv[1]);
+
+  return 0;
+}
+
diff --git a/eigen/doc/special_examples/Tutorial_sparse_example_details.cpp b/eigen/doc/special_examples/Tutorial_sparse_example_details.cpp
new file mode 100644
index 0000000..7d820b4
--- /dev/null
+++ b/eigen/doc/special_examples/Tutorial_sparse_example_details.cpp
@@ -0,0 +1,44 @@
+#include <Eigen/Sparse>
+#include <vector>
+#include <QImage>
+
+typedef Eigen::SparseMatrix<double> SpMat; // declares a column-major sparse matrix type of double
+typedef Eigen::Triplet<double> T;
+
+void insertCoefficient(int id, int i, int j, double w, std::vector<T>& coeffs,
+                       Eigen::VectorXd& b, const Eigen::VectorXd& boundary)
+{
+  int n = boundary.size();
+  int id1 = i+j*n;
+
+        if(i==-1 || i==n) b(id) -= w * boundary(j); // constrained coefficient
+  else  if(j==-1 || j==n) b(id) -= w * boundary(i); // constrained coefficient
+  else  coeffs.push_back(T(id,id1,w));              // unknown coefficient
+}
+
+void buildProblem(std::vector<T>& coefficients, Eigen::VectorXd& b, int n)
+{
+  b.setZero();
+  Eigen::ArrayXd boundary = Eigen::ArrayXd::LinSpaced(n, 0,M_PI).sin().pow(2);
+  for(int j=0; j<n; ++j)
+  {
+    for(int i=0; i<n; ++i)
+    {
+      int id = i+j*n;
+      insertCoefficient(id, i-1,j, -1, coefficients, b, boundary);
+      insertCoefficient(id, i+1,j, -1, coefficients, b, boundary);
+      insertCoefficient(id, i,j-1, -1, coefficients, b, boundary);
+      insertCoefficient(id, i,j+1, -1, coefficients, b, boundary);
+      insertCoefficient(id, i,j,    4, coefficients, b, boundary);
+    }
+  }
+}
+
+void saveAsBitmap(const Eigen::VectorXd& x, int n, const char* filename)
+{
+  Eigen::Array<unsigned char,Eigen::Dynamic,Eigen::Dynamic> bits = (x*255).cast<unsigned char>();
+  QImage img(bits.data(), n,n,QImage::Format_Indexed8);
+  img.setColorCount(256);
+  for(int i=0;i<256;i++) img.setColor(i,qRgb(i,i,i));
+  img.save(filename);
+}
-- 
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