Initial snapshot: hand motion pipeline (Dyn-HaMR + dex-retargeting + SPIDER)

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/AsciiQuickReference.txt

@@ -0,0 +1,226 @@
+// A simple quickref for Eigen. Add anything that's missing.
+// Main author: Keir Mierle
+
+#include <Eigen/Dense>
+
+Matrix<double, 3, 3> A;               // Fixed rows and cols. Same as Matrix3d.
+Matrix<double, 3, Dynamic> B;         // Fixed rows, dynamic cols.
+Matrix<double, Dynamic, Dynamic> C;   // Full dynamic. Same as MatrixXd.
+Matrix<double, 3, 3, RowMajor> E;     // Row major; default is column-major.
+Matrix3f P, Q, R;                     // 3x3 float matrix.
+Vector3f x, y, z;                     // 3x1 float matrix.
+RowVector3f a, b, c;                  // 1x3 float matrix.
+VectorXd v;                           // Dynamic column vector of doubles
+double s;                            
+
+// Basic usage
+// Eigen          // Matlab           // comments
+x.size()          // length(x)        // vector size
+C.rows()          // size(C,1)        // number of rows
+C.cols()          // size(C,2)        // number of columns
+x(i)              // x(i+1)           // Matlab is 1-based
+C(i,j)            // C(i+1,j+1)       //
+
+A.resize(4, 4);   // Runtime error if assertions are on.
+B.resize(4, 9);   // Runtime error if assertions are on.
+A.resize(3, 3);   // Ok; size didn't change.
+B.resize(3, 9);   // Ok; only dynamic cols changed.
+                  
+A << 1, 2, 3,     // Initialize A. The elements can also be
+     4, 5, 6,     // matrices, which are stacked along cols
+     7, 8, 9;     // and then the rows are stacked.
+B << A, A, A;     // B is three horizontally stacked A's.
+A.fill(10);       // Fill A with all 10's.
+
+// Eigen                                    // Matlab
+MatrixXd::Identity(rows,cols)               // eye(rows,cols)
+C.setIdentity(rows,cols)                    // C = eye(rows,cols)
+MatrixXd::Zero(rows,cols)                   // zeros(rows,cols)
+C.setZero(rows,cols)                        // C = zeros(rows,cols)
+MatrixXd::Ones(rows,cols)                   // ones(rows,cols)
+C.setOnes(rows,cols)                        // C = ones(rows,cols)
+MatrixXd::Random(rows,cols)                 // rand(rows,cols)*2-1            // MatrixXd::Random returns uniform random numbers in (-1, 1).
+C.setRandom(rows,cols)                      // C = rand(rows,cols)*2-1
+VectorXd::LinSpaced(size,low,high)          // linspace(low,high,size)'
+v.setLinSpaced(size,low,high)               // v = linspace(low,high,size)'
+VectorXi::LinSpaced(((hi-low)/step)+1,      // low:step:hi
+                    low,low+step*(size-1))  //
+
+
+// Matrix slicing and blocks. All expressions listed here are read/write.
+// Templated size versions are faster. Note that Matlab is 1-based (a size N
+// vector is x(1)...x(N)).
+/******************************************************************************/
+/*                  PLEASE HELP US IMPROVING THIS SECTION                     */
+/* Eigen 3.4 supports a much improved API for sub-matrices, including,        */
+/* slicing and indexing from arrays:                                          */
+/* http://eigen.tuxfamily.org/dox-devel/group__TutorialSlicingIndexing.html   */
+/******************************************************************************/
+// Eigen                           // Matlab
+x.head(n)                          // x(1:n)
+x.head<n>()                        // x(1:n)
+x.tail(n)                          // x(end - n + 1: end)
+x.tail<n>()                        // x(end - n + 1: end)
+x.segment(i, n)                    // x(i+1 : i+n)
+x.segment<n>(i)                    // x(i+1 : i+n)
+P.block(i, j, rows, cols)          // P(i+1 : i+rows, j+1 : j+cols)
+P.block<rows, cols>(i, j)          // P(i+1 : i+rows, j+1 : j+cols)
+P.row(i)                           // P(i+1, :)
+P.col(j)                           // P(:, j+1)
+P.leftCols<cols>()                 // P(:, 1:cols)
+P.leftCols(cols)                   // P(:, 1:cols)
+P.middleCols<cols>(j)              // P(:, j+1:j+cols)
+P.middleCols(j, cols)              // P(:, j+1:j+cols)
+P.rightCols<cols>()                // P(:, end-cols+1:end)
+P.rightCols(cols)                  // P(:, end-cols+1:end)
+P.topRows<rows>()                  // P(1:rows, :)
+P.topRows(rows)                    // P(1:rows, :)
+P.middleRows<rows>(i)              // P(i+1:i+rows, :)
+P.middleRows(i, rows)              // P(i+1:i+rows, :)
+P.bottomRows<rows>()               // P(end-rows+1:end, :)
+P.bottomRows(rows)                 // P(end-rows+1:end, :)
+P.topLeftCorner(rows, cols)        // P(1:rows, 1:cols)
+P.topRightCorner(rows, cols)       // P(1:rows, end-cols+1:end)
+P.bottomLeftCorner(rows, cols)     // P(end-rows+1:end, 1:cols)
+P.bottomRightCorner(rows, cols)    // P(end-rows+1:end, end-cols+1:end)
+P.topLeftCorner<rows,cols>()       // P(1:rows, 1:cols)
+P.topRightCorner<rows,cols>()      // P(1:rows, end-cols+1:end)
+P.bottomLeftCorner<rows,cols>()    // P(end-rows+1:end, 1:cols)
+P.bottomRightCorner<rows,cols>()   // P(end-rows+1:end, end-cols+1:end)
+
+// Of particular note is Eigen's swap function which is highly optimized.
+// Eigen                           // Matlab
+R.row(i) = P.col(j);               // R(i, :) = P(:, j)
+R.col(j1).swap(mat1.col(j2));      // R(:, [j1 j2]) = R(:, [j2, j1])
+
+// Views, transpose, etc;
+/******************************************************************************/
+/*                  PLEASE HELP US IMPROVING THIS SECTION                     */
+/* Eigen 3.4 supports a new API for reshaping:                                */
+/* http://eigen.tuxfamily.org/dox-devel/group__TutorialReshape.html           */
+/******************************************************************************/
+// Eigen                           // Matlab
+R.adjoint()                        // R'
+R.transpose()                      // R.' or conj(R')       // Read-write
+R.diagonal()                       // diag(R)               // Read-write
+x.asDiagonal()                     // diag(x)
+R.transpose().colwise().reverse()  // rot90(R)              // Read-write
+R.rowwise().reverse()              // fliplr(R)
+R.colwise().reverse()              // flipud(R)
+R.replicate(i,j)                   // repmat(P,i,j)
+
+
+// All the same as Matlab, but matlab doesn't have *= style operators.
+// Matrix-vector.  Matrix-matrix.   Matrix-scalar.
+y  = M*x;          R  = P*Q;        R  = P*s;
+a  = b*M;          R  = P - Q;      R  = s*P;
+a *= M;            R  = P + Q;      R  = P/s;
+                   R *= Q;          R  = s*P;
+                   R += Q;          R *= s;
+                   R -= Q;          R /= s;
+
+// Vectorized operations on each element independently
+// Eigen                       // Matlab
+R = P.cwiseProduct(Q);         // R = P .* Q
+R = P.array() * s.array();     // R = P .* s
+R = P.cwiseQuotient(Q);        // R = P ./ Q
+R = P.array() / Q.array();     // R = P ./ Q
+R = P.array() + s.array();     // R = P + s
+R = P.array() - s.array();     // R = P - s
+R.array() += s;                // R = R + s
+R.array() -= s;                // R = R - s
+R.array() < Q.array();         // R < Q
+R.array() <= Q.array();        // R <= Q
+R.cwiseInverse();              // 1 ./ P
+R.array().inverse();           // 1 ./ P
+R.array().sin()                // sin(P)
+R.array().cos()                // cos(P)
+R.array().pow(s)               // P .^ s
+R.array().square()             // P .^ 2
+R.array().cube()               // P .^ 3
+R.cwiseSqrt()                  // sqrt(P)
+R.array().sqrt()               // sqrt(P)
+R.array().exp()                // exp(P)
+R.array().log()                // log(P)
+R.cwiseMax(P)                  // max(R, P)
+R.array().max(P.array())       // max(R, P)
+R.cwiseMin(P)                  // min(R, P)
+R.array().min(P.array())       // min(R, P)
+R.cwiseAbs()                   // abs(P)
+R.array().abs()                // abs(P)
+R.cwiseAbs2()                  // abs(P.^2)
+R.array().abs2()               // abs(P.^2)
+(R.array() < s).select(P,Q );  // (R < s ? P : Q)
+R = (Q.array()==0).select(P,R) // R(Q==0) = P(Q==0)
+R = P.unaryExpr(ptr_fun(func)) // R = arrayfun(func, P)   // with: scalar func(const scalar &x);
+
+
+// Reductions.
+int r, c;
+// Eigen                  // Matlab
+R.minCoeff()              // min(R(:))
+R.maxCoeff()              // max(R(:))
+s = R.minCoeff(&r, &c)    // [s, i] = min(R(:)); [r, c] = ind2sub(size(R), i);
+s = R.maxCoeff(&r, &c)    // [s, i] = max(R(:)); [r, c] = ind2sub(size(R), i);
+R.sum()                   // sum(R(:))
+R.colwise().sum()         // sum(R)
+R.rowwise().sum()         // sum(R, 2) or sum(R')'
+R.prod()                  // prod(R(:))
+R.colwise().prod()        // prod(R)
+R.rowwise().prod()        // prod(R, 2) or prod(R')'
+R.trace()                 // trace(R)
+R.all()                   // all(R(:))
+R.colwise().all()         // all(R)
+R.rowwise().all()         // all(R, 2)
+R.any()                   // any(R(:))
+R.colwise().any()         // any(R)
+R.rowwise().any()         // any(R, 2)
+
+// Dot products, norms, etc.
+// Eigen                  // Matlab
+x.norm()                  // norm(x).    Note that norm(R) doesn't work in Eigen.
+x.squaredNorm()           // dot(x, x)   Note the equivalence is not true for complex
+x.dot(y)                  // dot(x, y)
+x.cross(y)                // cross(x, y) Requires #include <Eigen/Geometry>
+
+//// Type conversion
+// Eigen                  // Matlab
+A.cast<double>();         // double(A)
+A.cast<float>();          // single(A)
+A.cast<int>();            // int32(A)
+A.real();                 // real(A)
+A.imag();                 // imag(A)
+// if the original type equals destination type, no work is done
+
+// Note that for most operations Eigen requires all operands to have the same type:
+MatrixXf F = MatrixXf::Zero(3,3);
+A += F;                // illegal in Eigen. In Matlab A = A+F is allowed
+A += F.cast<double>(); // F converted to double and then added (generally, conversion happens on-the-fly)
+
+// Eigen can map existing memory into Eigen matrices.
+float array[3];
+Vector3f::Map(array).fill(10);            // create a temporary Map over array and sets entries to 10
+int data[4] = {1, 2, 3, 4};
+Matrix2i mat2x2(data);                    // copies data into mat2x2
+Matrix2i::Map(data) = 2*mat2x2;           // overwrite elements of data with 2*mat2x2
+MatrixXi::Map(data, 2, 2) += mat2x2;      // adds mat2x2 to elements of data (alternative syntax if size is not know at compile time)
+
+// Solve Ax = b. Result stored in x. Matlab: x = A \ b.
+x = A.ldlt().solve(b));  // A sym. p.s.d.    #include <Eigen/Cholesky>
+x = A.llt() .solve(b));  // A sym. p.d.      #include <Eigen/Cholesky>
+x = A.lu()  .solve(b));  // Stable and fast. #include <Eigen/LU>
+x = A.qr()  .solve(b));  // No pivoting.     #include <Eigen/QR>
+x = A.svd() .solve(b));  // Stable, slowest. #include <Eigen/SVD>
+// .ldlt() -> .matrixL() and .matrixD()
+// .llt()  -> .matrixL()
+// .lu()   -> .matrixL() and .matrixU()
+// .qr()   -> .matrixQ() and .matrixR()
+// .svd()  -> .matrixU(), .singularValues(), and .matrixV()
+
+// Eigenvalue problems
+// Eigen                          // Matlab
+A.eigenvalues();                  // eig(A);
+EigenSolver<Matrix3d> eig(A);     // [vec val] = eig(A)
+eig.eigenvalues();                // diag(val)
+eig.eigenvectors();               // vec
+// For self-adjoint matrices use SelfAdjointEigenSolver<>

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/CMakeLists.txt

@@ -0,0 +1,119 @@
+project(EigenDoc)
+
+set_directory_properties(PROPERTIES EXCLUDE_FROM_ALL TRUE)
+
+project(EigenDoc)
+
+if(CMAKE_COMPILER_IS_GNUCXX)
+  if(CMAKE_SYSTEM_NAME MATCHES Linux)
+    set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -O1 -g1")
+  endif()
+endif()
+
+option(EIGEN_INTERNAL_DOCUMENTATION "Build internal documentation" OFF)
+option(EIGEN_DOC_USE_MATHJAX "Use MathJax for rendering math in HTML docs" ON)
+
+# Set some Doxygen flags
+set(EIGEN_DOXY_PROJECT_NAME             "Eigen")
+set(EIGEN_DOXY_OUTPUT_DIRECTORY_SUFFIX  "")
+set(EIGEN_DOXY_INPUT                    "\"${Eigen_SOURCE_DIR}/Eigen\" \"${Eigen_SOURCE_DIR}/doc\"")
+set(EIGEN_DOXY_HTML_COLORSTYLE_HUE      "220")
+set(EIGEN_DOXY_TAGFILES                 "")
+
+if(EIGEN_INTERNAL_DOCUMENTATION)
+  set(EIGEN_DOXY_INTERNAL                 "YES")
+else()
+  set(EIGEN_DOXY_INTERNAL                 "NO")
+endif()
+
+if (EIGEN_DOC_USE_MATHJAX)
+  set(EIGEN_DOXY_USE_MATHJAX "YES")
+else ()
+  set(EIGEN_DOXY_USE_MATHJAX "NO")
+endif()
+
+configure_file(
+  ${CMAKE_CURRENT_SOURCE_DIR}/Doxyfile.in
+  ${CMAKE_CURRENT_BINARY_DIR}/Doxyfile
+)
+
+set(EIGEN_DOXY_PROJECT_NAME             "Eigen-unsupported")
+set(EIGEN_DOXY_OUTPUT_DIRECTORY_SUFFIX  "/unsupported")
+set(EIGEN_DOXY_INPUT                    "\"${Eigen_SOURCE_DIR}/unsupported/Eigen\" \"${Eigen_SOURCE_DIR}/unsupported/doc\"")
+set(EIGEN_DOXY_HTML_COLORSTYLE_HUE      "0")
+set(EIGEN_DOXY_TAGFILES                 "\"${Eigen_BINARY_DIR}/doc/Eigen.doxytags=..\"")
+#set(EIGEN_DOXY_TAGFILES                 "")
+
+configure_file(
+  ${CMAKE_CURRENT_SOURCE_DIR}/Doxyfile.in
+  ${CMAKE_CURRENT_BINARY_DIR}/Doxyfile-unsupported
+)
+
+configure_file(
+  ${CMAKE_CURRENT_SOURCE_DIR}/eigendoxy_header.html.in
+  ${CMAKE_CURRENT_BINARY_DIR}/eigendoxy_header.html
+)
+
+configure_file(
+  ${CMAKE_CURRENT_SOURCE_DIR}/eigendoxy_footer.html.in
+  ${CMAKE_CURRENT_BINARY_DIR}/eigendoxy_footer.html
+)
+
+configure_file(
+  ${CMAKE_CURRENT_SOURCE_DIR}/eigendoxy_layout.xml.in
+  ${CMAKE_CURRENT_BINARY_DIR}/eigendoxy_layout.xml
+)
+
+configure_file(
+  ${Eigen_SOURCE_DIR}/unsupported/doc/eigendoxy_layout.xml.in
+  ${Eigen_BINARY_DIR}/doc/unsupported/eigendoxy_layout.xml
+)
+
+set(examples_targets "")
+set(snippets_targets "")
+
+add_definitions("-DEIGEN_MAKING_DOCS")
+add_custom_target(all_examples)
+
+add_subdirectory(examples)
+add_subdirectory(special_examples)
+add_subdirectory(snippets)
+
+add_custom_target(
+  doc-eigen-prerequisites
+  ALL
+  COMMAND ${CMAKE_COMMAND} -E make_directory ${CMAKE_CURRENT_BINARY_DIR}/html/
+  COMMAND ${CMAKE_COMMAND} -E copy ${CMAKE_CURRENT_SOURCE_DIR}/eigen_navtree_hacks.js           ${CMAKE_CURRENT_BINARY_DIR}/html/
+  COMMAND ${CMAKE_COMMAND} -E copy ${CMAKE_CURRENT_SOURCE_DIR}/Eigen_Silly_Professor_64x64.png  ${CMAKE_CURRENT_BINARY_DIR}/html/
+  COMMAND ${CMAKE_COMMAND} -E copy ${CMAKE_CURRENT_SOURCE_DIR}/ftv2pnode.png                    ${CMAKE_CURRENT_BINARY_DIR}/html/
+  COMMAND ${CMAKE_COMMAND} -E copy ${CMAKE_CURRENT_SOURCE_DIR}/ftv2node.png                     ${CMAKE_CURRENT_BINARY_DIR}/html/
+  COMMAND ${CMAKE_COMMAND} -E copy ${CMAKE_CURRENT_SOURCE_DIR}/AsciiQuickReference.txt          ${CMAKE_CURRENT_BINARY_DIR}/html/
+  WORKING_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}
+)
+
+add_custom_target(
+  doc-unsupported-prerequisites
+  ALL
+  COMMAND ${CMAKE_COMMAND} -E make_directory ${Eigen_BINARY_DIR}/doc/html/unsupported
+  COMMAND ${CMAKE_COMMAND} -E copy ${CMAKE_CURRENT_SOURCE_DIR}/eigen_navtree_hacks.js           ${CMAKE_CURRENT_BINARY_DIR}/html/unsupported/
+  COMMAND ${CMAKE_COMMAND} -E copy ${CMAKE_CURRENT_SOURCE_DIR}/Eigen_Silly_Professor_64x64.png  ${CMAKE_CURRENT_BINARY_DIR}/html/unsupported/
+  COMMAND ${CMAKE_COMMAND} -E copy ${CMAKE_CURRENT_SOURCE_DIR}/ftv2pnode.png                    ${CMAKE_CURRENT_BINARY_DIR}/html/unsupported/
+  COMMAND ${CMAKE_COMMAND} -E copy ${CMAKE_CURRENT_SOURCE_DIR}/ftv2node.png                     ${CMAKE_CURRENT_BINARY_DIR}/html/unsupported/
+  WORKING_DIRECTORY ${Eigen_BINARY_DIR}/doc
+)
+
+add_dependencies(doc-eigen-prerequisites all_snippets all_examples)
+add_dependencies(doc-unsupported-prerequisites unsupported_snippets unsupported_examples)
+
+add_custom_target(doc ALL
+  COMMAND doxygen
+  COMMAND doxygen Doxyfile-unsupported
+  COMMAND ${CMAKE_COMMAND} -E copy ${Eigen_BINARY_DIR}/doc/html/group__TopicUnalignedArrayAssert.html ${Eigen_BINARY_DIR}/doc/html/TopicUnalignedArrayAssert.html
+  COMMAND ${CMAKE_COMMAND} -E rename html eigen-doc
+  COMMAND ${CMAKE_COMMAND} -E remove eigen-doc/eigen-doc.tgz eigen-doc/unsupported/_formulas.log eigen-doc/_formulas.log
+  COMMAND ${CMAKE_COMMAND} -E tar cfz eigen-doc.tgz eigen-doc
+  COMMAND ${CMAKE_COMMAND} -E rename eigen-doc.tgz eigen-doc/eigen-doc.tgz
+  COMMAND ${CMAKE_COMMAND} -E rename eigen-doc html
+  WORKING_DIRECTORY ${Eigen_BINARY_DIR}/doc)
+
+add_dependencies(doc doc-eigen-prerequisites doc-unsupported-prerequisites)

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/eigen_navtree_hacks.js

@@ -0,0 +1,247 @@
+
+// generate a table of contents in the side-nav based on the h1/h2 tags of the current page.
+function generate_autotoc() {
+  var headers = $("h1, h2");
+  if(headers.length > 1) {
+    var toc = $("#side-nav").append('<div id="nav-toc" class="toc"><h3>Table of contents</h3></div>');
+    toc = $("#nav-toc");
+    var footer  = $("#nav-path");
+    var footerHeight = footer.height();
+    toc = toc.append('<ul></ul>');
+    toc = toc.find('ul');
+    var indices = new Array();
+    indices[0] = 0;
+    indices[1] = 0;
+
+    var h1counts = $("h1").length;
+    headers.each(function(i) {
+      var current = $(this);
+      var levelTag = current[0].tagName.charAt(1);
+      if(h1counts==0)
+        levelTag--;
+      var cur_id = current.attr("id");
+
+      indices[levelTag-1]+=1;  
+      var prefix = indices[0];
+      if (levelTag >1) {
+        prefix+="."+indices[1];
+      }
+        
+      // Uncomment to add number prefixes
+      // current.html(prefix + "   " + current.html());
+      for(var l = levelTag; l < 2; ++l){
+          indices[l] = 0;
+      }
+
+      if(cur_id == undefined) {
+        current.attr('id', 'title' + i);
+        current.addClass('anchor');
+        toc.append("<li class='level" + levelTag + "'><a id='link" + i + "' href='#title" +
+                    i + "' title='" + current.prop("tagName") + "'>" + current.text() + "</a></li>");
+      } else {
+        toc.append("<li class='level" + levelTag + "'><a id='" + cur_id + "' href='#title" +
+                    i + "' title='" + current.prop("tagName") + "'>" + current.text() + "</a></li>");
+      }
+    });
+    resizeHeight();
+  }
+}
+
+
+var global_navtree_object;
+
+// Overloaded to remove links to sections/subsections
+function getNode(o, po)
+{
+  po.childrenVisited = true;
+  var l = po.childrenData.length-1;
+  for (var i in po.childrenData) {
+    var nodeData = po.childrenData[i];
+    if((!nodeData[1]) ||  (nodeData[1].indexOf('#')==-1)) // <- we added this line
+      po.children[i] = newNode(o, po, nodeData[0], nodeData[1], nodeData[2], i==l);
+  }
+}
+
+// Overloaded to adjust the size of the navtree wrt the toc
+function resizeHeight() 
+{
+  var header  = $("#top");
+  var sidenav = $("#side-nav");
+  var content = $("#doc-content");
+  var navtree = $("#nav-tree");
+  var footer  = $("#nav-path");
+  var toc     = $("#nav-toc");
+
+  var headerHeight = header.outerHeight();
+  var footerHeight = footer.outerHeight();
+  var tocHeight    = toc.height();
+  var windowHeight = $(window).height() - headerHeight - footerHeight;
+  content.css({height:windowHeight + "px"});
+  navtree.css({height:(windowHeight-tocHeight) + "px"});
+  sidenav.css({height:windowHeight + "px"});
+}
+
+// Overloaded to save the root node into global_navtree_object
+function initNavTree(toroot,relpath)
+{
+  var o = new Object();
+  global_navtree_object = o; // <- we added this line
+  o.toroot = toroot;
+  o.node = new Object();
+  o.node.li = document.getElementById("nav-tree-contents");
+  o.node.childrenData = NAVTREE;
+  o.node.children = new Array();
+  o.node.childrenUL = document.createElement("ul");
+  o.node.getChildrenUL = function() { return o.node.childrenUL; };
+  o.node.li.appendChild(o.node.childrenUL);
+  o.node.depth = 0;
+  o.node.relpath = relpath;
+  o.node.expanded = false;
+  o.node.isLast = true;
+  o.node.plus_img = document.createElement("img");
+  o.node.plus_img.src = relpath+"ftv2pnode.png";
+  o.node.plus_img.width = 16;
+  o.node.plus_img.height = 22;
+
+  if (localStorageSupported()) {
+    var navSync = $('#nav-sync');
+    if (cachedLink()) {
+      showSyncOff(navSync,relpath);
+      navSync.removeClass('sync');
+    } else {
+      showSyncOn(navSync,relpath);
+    }
+    navSync.click(function(){ toggleSyncButton(relpath); });
+  }
+
+  navTo(o,toroot,window.location.hash,relpath);
+
+  $(window).bind('hashchange', function(){
+     if (window.location.hash && window.location.hash.length>1){
+       var a;
+       if ($(location).attr('hash')){
+         var clslink=stripPath($(location).attr('pathname'))+':'+
+                               $(location).attr('hash').substring(1);
+         a=$('.item a[class$="'+clslink+'"]');
+       }
+       if (a==null || !$(a).parent().parent().hasClass('selected')){
+         $('.item').removeClass('selected');
+         $('.item').removeAttr('id');
+       }
+       var link=stripPath2($(location).attr('pathname'));
+       navTo(o,link,$(location).attr('hash'),relpath);
+     } else if (!animationInProgress) {
+       $('#doc-content').scrollTop(0);
+       $('.item').removeClass('selected');
+       $('.item').removeAttr('id');
+       navTo(o,toroot,window.location.hash,relpath);
+     }
+  })
+
+  $(window).on("load", showRoot);
+}
+
+// return false if the the node has no children at all, or has only section/subsection children
+function checkChildrenData(node) {
+  if (!(typeof(node.childrenData)==='string')) {
+    for (var i in node.childrenData) {
+      var url = node.childrenData[i][1];
+      if(url.indexOf("#")==-1)
+        return true;
+    }
+    return false;
+  }
+  return (node.childrenData);
+}
+
+// Modified to:
+// 1 - remove the root node 
+// 2 - remove the section/subsection children
+function createIndent(o,domNode,node,level)
+{
+  var level=-2; // <- we replaced level=-1 by level=-2
+  var n = node;
+  while (n.parentNode) { level++; n=n.parentNode; }
+  if (checkChildrenData(node)) { // <- we modified this line to use checkChildrenData(node) instead of node.childrenData
+    var imgNode = document.createElement("span");
+    imgNode.className = 'arrow';
+    imgNode.style.paddingLeft=(16*level).toString()+'px';
+    imgNode.innerHTML=arrowRight;
+    node.plus_img = imgNode;
+    node.expandToggle = document.createElement("a");
+    node.expandToggle.href = "javascript:void(0)";
+    node.expandToggle.onclick = function() {
+      if (node.expanded) {
+        $(node.getChildrenUL()).slideUp("fast");
+        node.plus_img.innerHTML=arrowRight;
+        node.expanded = false;
+      } else {
+        expandNode(o, node, false, false);
+      }
+    }
+    node.expandToggle.appendChild(imgNode);
+    domNode.appendChild(node.expandToggle);
+  } else {
+    var span = document.createElement("span");
+    span.className = 'arrow';
+    span.style.width   = 16*(level+1)+'px';
+    span.innerHTML = '&#160;';
+    domNode.appendChild(span);
+  }
+}
+
+// Overloaded to automatically expand the selected node
+function selectAndHighlight(hash,n)
+{
+  var a;
+  if (hash) {
+    var link=stripPath($(location).attr('pathname'))+':'+hash.substring(1);
+    a=$('.item a[class$="'+link+'"]');
+  }
+  if (a && a.length) {
+    a.parent().parent().addClass('selected');
+    a.parent().parent().attr('id','selected');
+    highlightAnchor();
+  } else if (n) {
+    $(n.itemDiv).addClass('selected');
+    $(n.itemDiv).attr('id','selected');
+  }
+  if ($('#nav-tree-contents .item:first').hasClass('selected')) {
+    $('#nav-sync').css('top','30px');
+  } else {
+    $('#nav-sync').css('top','5px');
+  }
+  expandNode(global_navtree_object, n, true, true); // <- we added this line
+  showRoot();
+}
+
+
+$(document).ready(function() {
+  
+  generate_autotoc();
+  
+  (function (){ // wait until the first "selected" element has been created
+    try {
+      
+      // this line will triger an exception if there is no #selected element, i.e., before the tree structure is complete.
+      document.getElementById("selected").className = "item selected";
+      
+      // ok, the default tree has been created, we can keep going...
+      
+      // expand the "Chapters" node
+      if(window.location.href.indexOf('unsupported')==-1)
+        expandNode(global_navtree_object, global_navtree_object.node.children[0].children[2], true, true);
+      else
+        expandNode(global_navtree_object, global_navtree_object.node.children[0].children[1], true, true);
+      
+      // Hide the root node "Eigen"
+      $(document.getElementsByClassName('index.html')[0]).parent().parent().css({display:"none"});
+      
+    } catch (err) {
+      setTimeout(arguments.callee, 10);
+    }
+  })();
+
+  $(window).on("load", resizeHeight);
+});
+

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/eigendoxy.css

@@ -0,0 +1,235 @@
+
+/******** Eigen specific CSS code ************/
+
+/**** Styles removing elements ****/
+
+/* remove the "modules|classes" link for module pages (they are already in the TOC) */
+div.summary {
+  display:none;
+}
+
+/* remove */
+div.contents hr {
+  display:none;
+}
+
+/**** ****/
+
+p, dl.warning, dl.attention, dl.note
+{
+  max-width:60em;
+  text-align:justify;
+}
+
+li {
+  max-width:55em;
+  text-align:justify;  
+}
+
+img {
+  border: 0;
+}
+
+div.fragment {
+  display:table; /* this allows the element to be larger than its parent */
+  padding: 0pt;
+}
+pre.fragment {
+  border: 1px solid #cccccc;
+
+  margin: 2px 0px 2px 0px;
+  padding: 3px 5px 3px 5px;
+}
+
+
+
+/* Common style for all Eigen's tables */
+
+table.example, table.manual, table.manual-vl, table.manual-hl {
+    max-width:100%;
+    border-collapse: collapse;
+    border-style: solid;
+    border-width: 1px;
+    border-color: #cccccc;
+    font-size: 1em;
+    
+    box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+    -moz-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+    -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+table.example th, table.manual th, table.manual-vl th, table.manual-hl th {
+  padding: 0.5em 0.5em 0.5em 0.5em;
+  text-align: left;
+  padding-right: 1em;
+  color: #555555;
+  background-color: #F4F4E5;
+  
+  background-image: -webkit-gradient(linear,center top,center bottom,from(#FFFFFF), color-stop(0.3,#FFFFFF), color-stop(0.30,#FFFFFF), color-stop(0.98,#F4F4E5), to(#ECECDE));
+  background-image: -moz-linear-gradient(center top, #FFFFFF 0%, #FFFFFF 30%, #F4F4E5 98%, #ECECDE);
+  filter: progid:DXImageTransform.Microsoft.gradient(startColorstr='#FFFFFF', endColorstr='#F4F4E5');
+}
+
+table.example td, table.manual td, table.manual-vl td, table.manual-hl td {
+  vertical-align:top;
+  border-width: 1px;
+  border-color: #cccccc;
+}
+
+/* header of headers */
+table th.meta {
+  text-align:center;
+  font-size: 1.2em;
+  background-color:#FFFFFF;
+}
+
+/* intermediate header */
+table th.inter {
+  text-align:left;
+  background-color:#FFFFFF;
+  background-image:none;
+  border-style:solid solid solid solid;
+  border-width: 1px;
+	border-color: #cccccc;
+}
+
+/** class for example / output tables **/
+
+table.example {
+}
+
+table.example th {
+}
+
+table.example td {
+  padding: 0.5em 0.5em 0.5em 0.5em;
+  vertical-align:top;
+}
+
+/* standard class for the manual */
+
+table.manual, table.manual-vl, table.manual-hl {
+    padding: 0.2em 0em 0.5em 0em;
+}
+
+table.manual th, table.manual-vl th, table.manual-hl th {
+  margin: 0em 0em 0.3em 0em;
+}
+
+table.manual td, table.manual-vl td, table.manual-hl td {
+  padding: 0.3em 0.5em 0.3em 0.5em;
+  vertical-align:top;
+  border-width: 1px;
+}
+
+table.manual td.alt, table.manual tr.alt, table.manual-vl td.alt, table.manual-vl tr.alt {
+  background-color: #F4F4E5;
+}
+
+table.manual-vl th, table.manual-vl td, table.manual-vl td.alt {
+  border-color: #cccccc;
+  border-width: 1px;
+  border-style: none solid none solid;
+}
+
+table.manual-vl th.inter {
+  border-style: solid solid solid solid;
+}
+
+table.manual-hl td {
+  border-color: #cccccc;
+  border-width: 1px;
+  border-style: solid none solid none;
+}
+
+table td.code {
+  font-family: monospace;
+}
+
+h2 {
+  margin-top:2em;
+  border-style: none none solid none;
+  border-width: 1px;
+  border-color: #cccccc;
+}
+
+/**** Table of content in the side-nav ****/
+
+
+div.toc {
+  margin:0;
+  padding: 0.3em 0 0 0;
+  width:100%;
+  float:none;
+  position:absolute;
+  bottom:0;
+  border-radius:0px;
+  border-style: solid none none none;
+  max-height:50%;
+  overflow-y: scroll;
+}
+
+div.toc h3 {
+  margin-left: 0.5em;
+  margin-bottom: 0.2em;
+}
+
+div.toc ul {
+  margin: 0.2em 0 0.4em 0.5em;
+}
+
+span.cpp11,span.cpp14,span.cpp17 {
+  color: #119911;
+  font-weight: bold;
+}
+
+.newin3x {
+  color: #a37c1a;
+  font-weight: bold;
+}
+
+div.warningbox {
+  max-width:60em;
+  border-style: solid solid solid solid;
+  border-color: red;
+  border-width: 3px;
+}
+
+/**** old Eigen's styles ****/
+
+
+table.tutorial_code td {
+  border-color: transparent; /* required for Firefox */
+  padding: 3pt 5pt 3pt 5pt;
+  vertical-align: top;
+}
+
+
+/* Whenever doxygen meets a '\n' or a '<BR/>', it will put 
+ * the text containing the character into a <p class="starttd">.
+ * This little hack together with table.tutorial_code td.note
+ * aims at fixing this issue. */
+table.tutorial_code td.note p.starttd {
+  margin: 0px;
+  border: none;
+  padding: 0px;
+}
+
+div.eimainmenu {
+  text-align:     center;
+}
+
+/* center version number on main page */
+h3.version { 
+  text-align:     center;
+}
+
+
+td.width20em p.endtd {
+  width:  20em;
+}
+
+/* needed for huge screens */
+.ui-resizable-e {
+  background-repeat: repeat-y;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/eigendoxy_footer.html.in

@@ -0,0 +1,23 @@
+<!-- start footer part -->
+<!--BEGIN GENERATE_TREEVIEW-->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    $navpath
+    <li class="footer">$generatedby
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="$relpath^doxygen.png" alt="doxygen"/></a> $doxygenversion </li>
+  </ul>
+</div>
+<!--END GENERATE_TREEVIEW-->
+<!--BEGIN !GENERATE_TREEVIEW-->
+<hr class="footer"/><address class="footer"><small>
+$generatedby &#160;<a href="http://www.doxygen.org/index.html">
+<img class="footer" src="$relpath^doxygen.png" alt="doxygen"/>
+</a> $doxygenversion
+</small></address>
+<!--END !GENERATE_TREEVIEW-->
+
+</body>
+</html>
+
+

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/eigendoxy_header.html.in

@@ -0,0 +1,62 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen $doxygenversion"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<!--BEGIN PROJECT_NAME--><title>$projectname: $title</title><!--END PROJECT_NAME-->
+<!--BEGIN !PROJECT_NAME--><title>$title</title><!--END !PROJECT_NAME-->
+<link href="$relpath^tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="$relpath^jquery.js"></script>
+<script type="text/javascript" src="$relpath^dynsections.js"></script>
+$treeview
+$search
+$mathjax
+<link href="$relpath^$stylesheet" rel="stylesheet" type="text/css" />
+<link href="$relpath$eigendoxy.css" rel="stylesheet" type="text/css">
+<!-- $extrastylesheet -->
+<script type="text/javascript" src="$relpath$eigen_navtree_hacks.js"></script>
+
+</head>
+<body>
+
+<div style="background:#FFDDDD;font-size:120%;text-align:center;margin:0;padding:5px">Please, help us to better know about our user community by answering the following short survey:  <a href="https://forms.gle/wpyrxWi18ox9Z5ae9">https://forms.gle/wpyrxWi18ox9Z5ae9</a></div>
+
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+
+<!--BEGIN TITLEAREA-->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <!--BEGIN PROJECT_LOGO-->
+  <td id="projectlogo"><img alt="Logo" src="$relpath^$projectlogo"/></td>
+  <!--END PROJECT_LOGO-->
+  <!--BEGIN PROJECT_NAME-->
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname"><a href="http://eigen.tuxfamily.org">$projectname</a>
+   <!--BEGIN PROJECT_NUMBER-->&#160;<span id="projectnumber">$projectnumber</span><!--END PROJECT_NUMBER-->
+   </div>
+   <!--BEGIN PROJECT_BRIEF--><div id="projectbrief">$projectbrief</div><!--END PROJECT_BRIEF-->
+  </td>
+  <!--END PROJECT_NAME-->
+  <!--BEGIN !PROJECT_NAME-->
+   <!--BEGIN PROJECT_BRIEF-->
+    <td id="projectalign" style="padding-left: 0.5em;">
+    <div id="projectbrief">$projectbrief</div>
+    </td>
+   <!--END PROJECT_BRIEF-->
+  <!--END !PROJECT_NAME-->
+  <!--BEGIN DISABLE_INDEX-->
+   <!--BEGIN SEARCHENGINE-->
+   <td>$searchbox</td>
+   <!--END SEARCHENGINE-->
+  <!--END DISABLE_INDEX-->
+ </tr>
+ </tbody>
+</table>
+</div>
+<!--END TITLEAREA-->
+<!-- end header part -->
+

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/eigendoxy_layout.xml.in

@@ -0,0 +1,178 @@
+<?xml version="1.0"?>
+<doxygenlayout version="1.0">
+  <!-- Navigation index tabs for HTML output -->
+  <navindex>
+    <tab type="user" url="index.html" title="Overview" />
+    <tab type="user" url="@ref GettingStarted" title="Getting started" />
+    <tab type="modules" visible="yes" title="Chapters" intro=""/>
+    <tab type="mainpage" visible="yes" title=""/>
+    <tab type="classlist" visible="yes" title="" intro=""/>
+<!--     <tab type="classmembers" visible="yes" title="" intro=""/> -->
+  </navindex>
+
+  <!-- Layout definition for a class page -->
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+    <briefdescription visible="no"/>
+    <includes visible="$SHOW_INCLUDE_FILES"/>
+    <detaileddescription title=""/>
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+    <collaborationgraph visible="$COLLABORATION_GRAPH"/>
+    <allmemberslink visible="yes"/>
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+      <enums title=""/>
+      <constructors title=""/>
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+      <variables title=""/>
+      <properties title=""/>
+      <events title=""/>
+    </memberdef>
+    <usedfiles visible="$SHOW_USED_FILES"/>
+    <authorsection visible="yes"/>
+  </class>
+
+  <!-- Layout definition for a namespace page -->
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+    <briefdescription visible="yes"/>
+    <memberdecl>
+      <nestednamespaces visible="yes" title=""/>
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+  </namespace>
+
+  <!-- Layout definition for a file page -->
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+    <briefdescription visible="yes"/>
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+    <sourcelink visible="yes"/>
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+      <membergroups visible="yes"/>
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+      <pagedocs/>
+      <inlineclasses title=""/>
+      <defines title=""/>
+      <typedefs title=""/>
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+      <enumvalues title=""/>
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+    <directorygraph visible="yes"/>
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third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/eigendoxy_tabs.css

@@ -0,0 +1,59 @@
+.tabs, .tabs2, .tabs3 {
+    background-image: url('tab_b.png');
+    width: 100%;
+    z-index: 101;
+    font-size: 13px;
+}
+
+.tabs2 {
+    font-size: 10px;
+}
+.tabs3 {
+    font-size: 9px;
+}
+
+.tablist {
+    margin: 0;
+    padding: 0;
+    display: table;
+}
+
+.tablist li {
+    float: left;
+    display: table-cell;
+    background-image: url('tab_b.png');
+    line-height: 36px;
+    list-style: none;
+}
+
+.tablist a {
+    display: block;
+    padding: 0 20px;
+    font-weight: bold;
+    background-image:url('tab_s.png');
+    background-repeat:no-repeat;
+    background-position:right;
+    color: #283A5D;
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+}
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+.tabs3 .tablist a {
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+}
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+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/CMakeLists.txt

@@ -0,0 +1,16 @@
+file(GLOB examples_SRCS "*.cpp")
+
+foreach(example_src ${examples_SRCS})
+  get_filename_component(example ${example_src} NAME_WE)
+  add_executable(${example} ${example_src})
+  if(EIGEN_STANDARD_LIBRARIES_TO_LINK_TO)
+    target_link_libraries(${example} ${EIGEN_STANDARD_LIBRARIES_TO_LINK_TO})
+  endif()
+  add_custom_command(
+    TARGET ${example}
+    POST_BUILD
+    COMMAND ${example}
+    ARGS >${CMAKE_CURRENT_BINARY_DIR}/${example}.out
+  )
+  add_dependencies(all_examples ${example})
+endforeach()

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/CustomizingEigen_Inheritance.cpp

@@ -0,0 +1,30 @@
+#include <Eigen/Core>
+#include <iostream>
+
+class MyVectorType : public Eigen::VectorXd
+{
+public:
+    MyVectorType(void):Eigen::VectorXd() {}
+
+    // This constructor allows you to construct MyVectorType from Eigen expressions
+    template<typename OtherDerived>
+    MyVectorType(const Eigen::MatrixBase<OtherDerived>& other)
+        : Eigen::VectorXd(other)
+    { }
+
+    // This method allows you to assign Eigen expressions to MyVectorType
+    template<typename OtherDerived>
+    MyVectorType& operator=(const Eigen::MatrixBase <OtherDerived>& other)
+    {
+        this->Eigen::VectorXd::operator=(other);
+        return *this;
+    }
+};
+
+int main()
+{
+  MyVectorType v = MyVectorType::Ones(4);
+  v(2) += 10;
+  v = 2 * v;
+  std::cout << v.transpose() << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Cwise_erf.cpp

@@ -0,0 +1,9 @@
+#include <Eigen/Core>
+#include <unsupported/Eigen/SpecialFunctions>
+#include <iostream>
+using namespace Eigen;
+int main()
+{
+  Array4d v(-0.5,2,0,-7);
+  std::cout << v.erf() << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Cwise_erfc.cpp

@@ -0,0 +1,9 @@
+#include <Eigen/Core>
+#include <unsupported/Eigen/SpecialFunctions>
+#include <iostream>
+using namespace Eigen;
+int main()
+{
+  Array4d v(-0.5,2,0,-7);
+  std::cout << v.erfc() << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Cwise_lgamma.cpp

@@ -0,0 +1,9 @@
+#include <Eigen/Core>
+#include <unsupported/Eigen/SpecialFunctions>
+#include <iostream>
+using namespace Eigen;
+int main()
+{
+  Array4d v(0.5,10,0,-1);
+  std::cout << v.lgamma() << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/DenseBase_middleCols_int.cpp

@@ -0,0 +1,15 @@
+#include <Eigen/Core>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main(void)
+{
+    int const N = 5;
+    MatrixXi A(N,N);
+    A.setRandom();
+    cout << "A =\n" << A << '\n' << endl;
+    cout << "A(1..3,:) =\n" << A.middleCols(1,3) << endl;
+    return 0;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/DenseBase_middleRows_int.cpp

@@ -0,0 +1,15 @@
+#include <Eigen/Core>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main(void)
+{
+    int const N = 5;
+    MatrixXi A(N,N);
+    A.setRandom();
+    cout << "A =\n" << A << '\n' << endl;
+    cout << "A(2..3,:) =\n" << A.middleRows(2,2) << endl;
+    return 0;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/DenseBase_template_int_middleCols.cpp

@@ -0,0 +1,15 @@
+#include <Eigen/Core>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main(void)
+{
+    int const N = 5;
+    MatrixXi A(N,N);
+    A.setRandom();
+    cout << "A =\n" << A << '\n' << endl;
+    cout << "A(:,1..3) =\n" << A.middleCols<3>(1) << endl;
+    return 0;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/DenseBase_template_int_middleRows.cpp

@@ -0,0 +1,15 @@
+#include <Eigen/Core>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main(void)
+{
+    int const N = 5;
+    MatrixXi A(N,N);
+    A.setRandom();
+    cout << "A =\n" << A << '\n' << endl;
+    cout << "A(1..3,:) =\n" << A.middleRows<3>(1) << endl;
+    return 0;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/QuickStart_example.cpp

@@ -0,0 +1,14 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using Eigen::MatrixXd;
+
+int main()
+{
+  MatrixXd m(2,2);
+  m(0,0) = 3;
+  m(1,0) = 2.5;
+  m(0,1) = -1;
+  m(1,1) = m(1,0) + m(0,1);
+  std::cout << m << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/QuickStart_example2_dynamic.cpp

@@ -0,0 +1,15 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  MatrixXd m = MatrixXd::Random(3,3);
+  m = (m + MatrixXd::Constant(3,3,1.2)) * 50;
+  cout << "m =" << endl << m << endl;
+  VectorXd v(3);
+  v << 1, 2, 3;
+  cout << "m * v =" << endl << m * v << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/QuickStart_example2_fixed.cpp

@@ -0,0 +1,15 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  Matrix3d m = Matrix3d::Random();
+  m = (m + Matrix3d::Constant(1.2)) * 50;
+  cout << "m =" << endl << m << endl;
+  Vector3d v(1,2,3);
+  
+  cout << "m * v =" << endl << m * v << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/TemplateKeyword_flexible.cpp

@@ -0,0 +1,22 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+
+template <typename Derived1, typename Derived2>
+void copyUpperTriangularPart(MatrixBase<Derived1>& dst, const MatrixBase<Derived2>& src)
+{
+  /* Note the 'template' keywords in the following line! */
+  dst.template triangularView<Upper>() = src.template triangularView<Upper>();
+}
+
+int main()
+{
+  MatrixXi m1 = MatrixXi::Ones(5,5);
+  MatrixXi m2 = MatrixXi::Random(4,4);
+  std::cout << "m2 before copy:" << std::endl;
+  std::cout << m2 << std::endl << std::endl;
+  copyUpperTriangularPart(m2, m1.topLeftCorner(4,4));
+  std::cout << "m2 after copy:" << std::endl;
+  std::cout << m2 << std::endl << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/TemplateKeyword_simple.cpp

@@ -0,0 +1,20 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+
+void copyUpperTriangularPart(MatrixXf& dst, const MatrixXf& src)
+{
+  dst.triangularView<Upper>() = src.triangularView<Upper>();
+}
+
+int main()
+{
+  MatrixXf m1 = MatrixXf::Ones(4,4);
+  MatrixXf m2 = MatrixXf::Random(4,4);
+  std::cout << "m2 before copy:" << std::endl;
+  std::cout << m2 << std::endl << std::endl;
+  copyUpperTriangularPart(m2, m1);
+  std::cout << "m2 after copy:" << std::endl;
+  std::cout << m2 << std::endl << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/TutorialInplaceLU.cpp

@@ -0,0 +1,61 @@
+#include <iostream>
+struct init {
+  init() { std::cout << "[" << "init" << "]" << std::endl; }
+};
+init init_obj;
+// [init]
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+  MatrixXd A(2,2);
+  A << 2, -1, 1, 3;
+  cout << "Here is the input matrix A before decomposition:\n" << A << endl;
+cout << "[init]" << endl;
+
+cout << "[declaration]" << endl;
+  PartialPivLU<Ref<MatrixXd> > lu(A);
+  cout << "Here is the input matrix A after decomposition:\n" << A << endl;
+cout << "[declaration]" << endl;
+
+cout << "[matrixLU]" << endl;
+  cout << "Here is the matrix storing the L and U factors:\n" << lu.matrixLU() << endl;
+cout << "[matrixLU]" << endl;
+
+cout << "[solve]" << endl;
+  MatrixXd A0(2,2); A0 << 2, -1, 1, 3;
+  VectorXd b(2);    b << 1, 2;
+  VectorXd x = lu.solve(b);
+  cout << "Residual: " << (A0 * x - b).norm() << endl;
+cout << "[solve]" << endl;
+
+cout << "[modifyA]" << endl;
+  A << 3, 4, -2, 1;
+  x = lu.solve(b);
+  cout << "Residual: " << (A0 * x - b).norm() << endl;
+cout << "[modifyA]" << endl;
+
+cout << "[recompute]" << endl;
+  A0 = A; // save A
+  lu.compute(A);
+  x = lu.solve(b);
+  cout << "Residual: " << (A0 * x - b).norm() << endl;
+cout << "[recompute]" << endl;
+
+cout << "[recompute_bis0]" << endl;
+  MatrixXd A1(2,2);
+  A1 << 5,-2,3,4;
+  lu.compute(A1);
+  cout << "Here is the input matrix A1 after decomposition:\n" << A1 << endl;
+cout << "[recompute_bis0]" << endl;
+
+cout << "[recompute_bis1]" << endl;
+  x = lu.solve(b);
+  cout << "Residual: " << (A1 * x - b).norm() << endl;
+cout << "[recompute_bis1]" << endl;
+
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/TutorialLinAlgComputeTwice.cpp

@@ -0,0 +1,23 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+   Matrix2f A, b;
+   LLT<Matrix2f> llt;
+   A << 2, -1, -1, 3;
+   b << 1, 2, 3, 1;
+   cout << "Here is the matrix A:\n" << A << endl;
+   cout << "Here is the right hand side b:\n" << b << endl;
+   cout << "Computing LLT decomposition..." << endl;
+   llt.compute(A);
+   cout << "The solution is:\n" << llt.solve(b) << endl;
+   A(1,1)++;
+   cout << "The matrix A is now:\n" << A << endl;
+   cout << "Computing LLT decomposition..." << endl;
+   llt.compute(A);
+   cout << "The solution is now:\n" << llt.solve(b) << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/TutorialLinAlgExComputeSolveError.cpp

@@ -0,0 +1,14 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+   MatrixXd A = MatrixXd::Random(100,100);
+   MatrixXd b = MatrixXd::Random(100,50);
+   MatrixXd x = A.fullPivLu().solve(b);
+   double relative_error = (A*x - b).norm() / b.norm(); // norm() is L2 norm
+   cout << "The relative error is:\n" << relative_error << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/TutorialLinAlgExSolveColPivHouseholderQR.cpp

@@ -0,0 +1,17 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+   Matrix3f A;
+   Vector3f b;
+   A << 1,2,3,  4,5,6,  7,8,10;
+   b << 3, 3, 4;
+   cout << "Here is the matrix A:\n" << A << endl;
+   cout << "Here is the vector b:\n" << b << endl;
+   Vector3f x = A.colPivHouseholderQr().solve(b);
+   cout << "The solution is:\n" << x << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/TutorialLinAlgExSolveLDLT.cpp

@@ -0,0 +1,16 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+   Matrix2f A, b;
+   A << 2, -1, -1, 3;
+   b << 1, 2, 3, 1;
+   cout << "Here is the matrix A:\n" << A << endl;
+   cout << "Here is the right hand side b:\n" << b << endl;
+   Matrix2f x = A.ldlt().solve(b);
+   cout << "The solution is:\n" << x << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/TutorialLinAlgInverseDeterminant.cpp

@@ -0,0 +1,16 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+   Matrix3f A;
+   A << 1, 2, 1,
+        2, 1, 0,
+        -1, 1, 2;
+   cout << "Here is the matrix A:\n" << A << endl;
+   cout << "The determinant of A is " << A.determinant() << endl;
+   cout << "The inverse of A is:\n" << A.inverse() << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/TutorialLinAlgRankRevealing.cpp

@@ -0,0 +1,20 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+   Matrix3f A;
+   A << 1, 2, 5,
+        2, 1, 4,
+        3, 0, 3;
+   cout << "Here is the matrix A:\n" << A << endl;
+   FullPivLU<Matrix3f> lu_decomp(A);
+   cout << "The rank of A is " << lu_decomp.rank() << endl;
+   cout << "Here is a matrix whose columns form a basis of the null-space of A:\n"
+        << lu_decomp.kernel() << endl;
+   cout << "Here is a matrix whose columns form a basis of the column-space of A:\n"
+        << lu_decomp.image(A) << endl; // yes, have to pass the original A
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/TutorialLinAlgSVDSolve.cpp

@@ -0,0 +1,15 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+   MatrixXf A = MatrixXf::Random(3, 2);
+   cout << "Here is the matrix A:\n" << A << endl;
+   VectorXf b = VectorXf::Random(3);
+   cout << "Here is the right hand side b:\n" << b << endl;
+   cout << "The least-squares solution is:\n"
+        << A.bdcSvd(ComputeThinU | ComputeThinV).solve(b) << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/TutorialLinAlgSelfAdjointEigenSolver.cpp

@@ -0,0 +1,18 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+   Matrix2f A;
+   A << 1, 2, 2, 3;
+   cout << "Here is the matrix A:\n" << A << endl;
+   SelfAdjointEigenSolver<Matrix2f> eigensolver(A);
+   if (eigensolver.info() != Success) abort();
+   cout << "The eigenvalues of A are:\n" << eigensolver.eigenvalues() << endl;
+   cout << "Here's a matrix whose columns are eigenvectors of A \n"
+        << "corresponding to these eigenvalues:\n"
+        << eigensolver.eigenvectors() << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/TutorialLinAlgSetThreshold.cpp

@@ -0,0 +1,16 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+   Matrix2d A;
+   A << 2, 1,
+        2, 0.9999999999;
+   FullPivLU<Matrix2d> lu(A);
+   cout << "By default, the rank of A is found to be " << lu.rank() << endl;
+   lu.setThreshold(1e-5);
+   cout << "With threshold 1e-5, the rank of A is found to be " << lu.rank() << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ArrayClass_accessors.cpp

@@ -0,0 +1,24 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  ArrayXXf  m(2,2);
+  
+  // assign some values coefficient by coefficient
+  m(0,0) = 1.0; m(0,1) = 2.0;
+  m(1,0) = 3.0; m(1,1) = m(0,1) + m(1,0);
+  
+  // print values to standard output
+  cout << m << endl << endl;
+ 
+  // using the comma-initializer is also allowed
+  m << 1.0,2.0,
+       3.0,4.0;
+     
+  // print values to standard output
+  cout << m << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ArrayClass_addition.cpp

@@ -0,0 +1,23 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  ArrayXXf a(3,3);
+  ArrayXXf b(3,3);
+  a << 1,2,3,
+       4,5,6,
+       7,8,9;
+  b << 1,2,3,
+       1,2,3,
+       1,2,3;
+       
+  // Adding two arrays
+  cout << "a + b = " << endl << a + b << endl << endl;
+
+  // Subtracting a scalar from an array
+  cout << "a - 2 = " << endl << a - 2 << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ArrayClass_cwise_other.cpp

@@ -0,0 +1,19 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  ArrayXf a = ArrayXf::Random(5);
+  a *= 2;
+  cout << "a =" << endl 
+       << a << endl;
+  cout << "a.abs() =" << endl 
+       << a.abs() << endl;
+  cout << "a.abs().sqrt() =" << endl 
+       << a.abs().sqrt() << endl;
+  cout << "a.min(a.abs().sqrt()) =" << endl 
+       << a.min(a.abs().sqrt()) << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ArrayClass_interop.cpp

@@ -0,0 +1,22 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  MatrixXf m(2,2);
+  MatrixXf n(2,2);
+  MatrixXf result(2,2);
+
+  m << 1,2,
+       3,4;
+  n << 5,6,
+       7,8;
+  
+  result = (m.array() + 4).matrix() * m;
+  cout << "-- Combination 1: --" << endl << result << endl << endl;
+  result = (m.array() * n.array()).matrix() * m;
+  cout << "-- Combination 2: --" << endl << result << endl << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ArrayClass_interop_matrix.cpp

@@ -0,0 +1,26 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  MatrixXf m(2,2);
+  MatrixXf n(2,2);
+  MatrixXf result(2,2);
+
+  m << 1,2,
+       3,4;
+  n << 5,6,
+       7,8;
+
+  result = m * n;
+  cout << "-- Matrix m*n: --" << endl << result << endl << endl;
+  result = m.array() * n.array();
+  cout << "-- Array m*n: --" << endl << result << endl << endl;
+  result = m.cwiseProduct(n);
+  cout << "-- With cwiseProduct: --" << endl << result << endl << endl;
+  result = m.array() + 4;
+  cout << "-- Array m + 4: --" << endl << result << endl << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ArrayClass_mult.cpp

@@ -0,0 +1,16 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  ArrayXXf a(2,2);
+  ArrayXXf b(2,2);
+  a << 1,2,
+       3,4;
+  b << 5,6,
+       7,8;
+  cout << "a * b = " << endl << a * b << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_BlockOperations_block_assignment.cpp

@@ -0,0 +1,18 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+  Array22f m;
+  m << 1,2,
+       3,4;
+  Array44f a = Array44f::Constant(0.6);
+  cout << "Here is the array a:" << endl << a << endl << endl;
+  a.block<2,2>(1,1) = m;
+  cout << "Here is now a with m copied into its central 2x2 block:" << endl << a << endl << endl;
+  a.block(0,0,2,3) = a.block(2,1,2,3);
+  cout << "Here is now a with bottom-right 2x3 block copied into top-left 2x3 block:" << endl << a << endl << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_BlockOperations_colrow.cpp

@@ -0,0 +1,17 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace std;
+
+int main()
+{
+  Eigen::MatrixXf m(3,3);
+  m << 1,2,3,
+       4,5,6,
+       7,8,9;
+  cout << "Here is the matrix m:" << endl << m << endl;
+  cout << "2nd Row: " << m.row(1) << endl;
+  m.col(2) += 3 * m.col(0);
+  cout << "After adding 3 times the first column into the third column, the matrix m is:\n";
+  cout << m << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_BlockOperations_corner.cpp

@@ -0,0 +1,17 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace std;
+
+int main()
+{
+  Eigen::Matrix4f m;
+  m << 1, 2, 3, 4,
+       5, 6, 7, 8,
+       9, 10,11,12,
+       13,14,15,16;
+  cout << "m.leftCols(2) =" << endl << m.leftCols(2) << endl << endl;
+  cout << "m.bottomRows<2>() =" << endl << m.bottomRows<2>() << endl << endl;
+  m.topLeftCorner(1,3) = m.bottomRightCorner(3,1).transpose();
+  cout << "After assignment, m = " << endl << m << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_BlockOperations_print_block.cpp

@@ -0,0 +1,20 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace std;
+
+int main()
+{
+  Eigen::MatrixXf m(4,4);
+  m <<  1, 2, 3, 4,
+        5, 6, 7, 8,
+        9,10,11,12,
+       13,14,15,16;
+  cout << "Block in the middle" << endl;
+  cout << m.block<2,2>(1,1) << endl << endl;
+  for (int i = 1; i <= 3; ++i)
+  {
+    cout << "Block of size " << i << "x" << i << endl;
+    cout << m.block(0,0,i,i) << endl << endl;
+  }
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_BlockOperations_vector.cpp

@@ -0,0 +1,14 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace std;
+
+int main()
+{
+  Eigen::ArrayXf v(6);
+  v << 1, 2, 3, 4, 5, 6;
+  cout << "v.head(3) =" << endl << v.head(3) << endl << endl;
+  cout << "v.tail<3>() = " << endl << v.tail<3>() << endl << endl;
+  v.segment(1,4) *= 2;
+  cout << "after 'v.segment(1,4) *= 2', v =" << endl << v << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_PartialLU_solve.cpp

@@ -0,0 +1,18 @@
+#include <Eigen/Core>
+#include <Eigen/LU>
+#include <iostream>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+   Matrix3f A;
+   Vector3f b;
+   A << 1,2,3,  4,5,6,  7,8,10;
+   b << 3, 3, 4;
+   cout << "Here is the matrix A:" << endl << A << endl;
+   cout << "Here is the vector b:" << endl << b << endl;
+   Vector3f x = A.lu().solve(b);
+   cout << "The solution is:" << endl << x << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ReductionsVisitorsBroadcasting_broadcast_1nn.cpp

@@ -0,0 +1,24 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+  Eigen::MatrixXf m(2,4);
+  Eigen::VectorXf v(2);
+  
+  m << 1, 23, 6, 9,
+       3, 11, 7, 2;
+       
+  v << 2,
+       3;
+
+  MatrixXf::Index index;
+  // find nearest neighbour
+  (m.colwise() - v).colwise().squaredNorm().minCoeff(&index);
+
+  cout << "Nearest neighbour is column " << index << ":" << endl;
+  cout << m.col(index) << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ReductionsVisitorsBroadcasting_broadcast_simple.cpp

@@ -0,0 +1,21 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+int main()
+{
+  Eigen::MatrixXf mat(2,4);
+  Eigen::VectorXf v(2);
+  
+  mat << 1, 2, 6, 9,
+         3, 1, 7, 2;
+         
+  v << 0,
+       1;
+       
+  //add v to each column of m
+  mat.colwise() += v;
+  
+  std::cout << "Broadcasting result: " << std::endl;
+  std::cout << mat << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ReductionsVisitorsBroadcasting_broadcast_simple_rowwise.cpp

@@ -0,0 +1,20 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+int main()
+{
+  Eigen::MatrixXf mat(2,4);
+  Eigen::VectorXf v(4);
+  
+  mat << 1, 2, 6, 9,
+         3, 1, 7, 2;
+         
+  v << 0,1,2,3;
+       
+  //add v to each row of m
+  mat.rowwise() += v.transpose();
+  
+  std::cout << "Broadcasting result: " << std::endl;
+  std::cout << mat << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ReductionsVisitorsBroadcasting_colwise.cpp

@@ -0,0 +1,13 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+int main()
+{
+  Eigen::MatrixXf mat(2,4);
+  mat << 1, 2, 6, 9,
+         3, 1, 7, 2;
+  
+  std::cout << "Column's maximum: " << std::endl
+   << mat.colwise().maxCoeff() << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ReductionsVisitorsBroadcasting_maxnorm.cpp

@@ -0,0 +1,20 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+int main()
+{
+  MatrixXf mat(2,4);
+  mat << 1, 2, 6, 9,
+         3, 1, 7, 2;
+  
+  MatrixXf::Index   maxIndex;
+  float maxNorm = mat.colwise().sum().maxCoeff(&maxIndex);
+  
+  std::cout << "Maximum sum at position " << maxIndex << std::endl;
+
+  std::cout << "The corresponding vector is: " << std::endl;
+  std::cout << mat.col( maxIndex ) << std::endl;
+  std::cout << "And its sum is is: " << maxNorm << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ReductionsVisitorsBroadcasting_reductions_bool.cpp

@@ -0,0 +1,21 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+  ArrayXXf a(2,2);
+  
+  a << 1,2,
+       3,4;
+
+  cout << "(a > 0).all()   = " << (a > 0).all() << endl;
+  cout << "(a > 0).any()   = " << (a > 0).any() << endl;
+  cout << "(a > 0).count() = " << (a > 0).count() << endl;
+  cout << endl;
+  cout << "(a > 2).all()   = " << (a > 2).all() << endl;
+  cout << "(a > 2).any()   = " << (a > 2).any() << endl;
+  cout << "(a > 2).count() = " << (a > 2).count() << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ReductionsVisitorsBroadcasting_reductions_norm.cpp

@@ -0,0 +1,28 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+  VectorXf v(2);
+  MatrixXf m(2,2), n(2,2);
+  
+  v << -1,
+       2;
+  
+  m << 1,-2,
+       -3,4;
+
+  cout << "v.squaredNorm() = " << v.squaredNorm() << endl;
+  cout << "v.norm() = " << v.norm() << endl;
+  cout << "v.lpNorm<1>() = " << v.lpNorm<1>() << endl;
+  cout << "v.lpNorm<Infinity>() = " << v.lpNorm<Infinity>() << endl;
+
+  cout << endl;
+  cout << "m.squaredNorm() = " << m.squaredNorm() << endl;
+  cout << "m.norm() = " << m.norm() << endl;
+  cout << "m.lpNorm<1>() = " << m.lpNorm<1>() << endl;
+  cout << "m.lpNorm<Infinity>() = " << m.lpNorm<Infinity>() << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ReductionsVisitorsBroadcasting_reductions_operatornorm.cpp

@@ -0,0 +1,18 @@
+#include <Eigen/Dense>
+#include <iostream>
+
+using namespace Eigen;
+using namespace std;
+
+int main()
+{
+  MatrixXf m(2,2);
+  m << 1,-2,
+       -3,4;
+
+  cout << "1-norm(m)     = " << m.cwiseAbs().colwise().sum().maxCoeff()
+       << " == "             << m.colwise().lpNorm<1>().maxCoeff() << endl;
+
+  cout << "infty-norm(m) = " << m.cwiseAbs().rowwise().sum().maxCoeff()
+       << " == "             << m.rowwise().lpNorm<1>().maxCoeff() << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ReductionsVisitorsBroadcasting_rowwise.cpp

@@ -0,0 +1,13 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+int main()
+{
+  Eigen::MatrixXf mat(2,4);
+  mat << 1, 2, 6, 9,
+         3, 1, 7, 2;
+  
+  std::cout << "Row's maximum: " << std::endl
+   << mat.rowwise().maxCoeff() << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_ReductionsVisitorsBroadcasting_visitors.cpp

@@ -0,0 +1,26 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+using namespace Eigen;
+
+int main()
+{
+  Eigen::MatrixXf m(2,2);
+  
+  m << 1, 2,
+       3, 4;
+
+  //get location of maximum
+  MatrixXf::Index maxRow, maxCol;
+  float max = m.maxCoeff(&maxRow, &maxCol);
+
+  //get location of minimum
+  MatrixXf::Index minRow, minCol;
+  float min = m.minCoeff(&minRow, &minCol);
+
+  cout << "Max: " << max <<  ", at: " <<
+     maxRow << "," << maxCol << endl;
+  cout << "Min: " << min << ", at: " <<
+     minRow << "," << minCol << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_simple_example_dynamic_size.cpp

@@ -0,0 +1,22 @@
+#include <Eigen/Core>
+#include <iostream>
+
+using namespace Eigen;
+
+int main()
+{
+  for (int size=1; size<=4; ++size)
+  {
+    MatrixXi m(size,size+1);         // a (size)x(size+1)-matrix of int's
+    for (int j=0; j<m.cols(); ++j)   // loop over columns
+      for (int i=0; i<m.rows(); ++i) // loop over rows
+        m(i,j) = i+j*size;           // to access matrix coefficients,
+                                     // use operator()(int,int)
+    std::cout << m << "\n\n";
+  }
+
+  VectorXf v(4); // a vector of 4 float's
+  // to access vector coefficients, use either operator () or operator []
+  v[0] = 1; v[1] = 2; v(2) = 3; v(3) = 4;
+  std::cout << "\nv:\n" << v << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/Tutorial_simple_example_fixed_size.cpp

@@ -0,0 +1,15 @@
+#include <Eigen/Core>
+#include <iostream>
+
+using namespace Eigen;
+
+int main()
+{
+  Matrix3f m3;
+  m3 << 1, 2, 3, 4, 5, 6, 7, 8, 9;
+  Matrix4f m4 = Matrix4f::Identity();
+  Vector4i v4(1, 2, 3, 4);
+
+  std::cout << "m3\n" << m3 << "\nm4:\n"
+    << m4 << "\nv4:\n" << v4 << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/class_Block.cpp

@@ -0,0 +1,27 @@
+#include <Eigen/Core>
+#include <iostream>
+using namespace Eigen;
+using namespace std;
+
+template<typename Derived>
+Eigen::Block<Derived>
+topLeftCorner(MatrixBase<Derived>& m, int rows, int cols)
+{
+  return Eigen::Block<Derived>(m.derived(), 0, 0, rows, cols);
+}
+
+template<typename Derived>
+const Eigen::Block<const Derived>
+topLeftCorner(const MatrixBase<Derived>& m, int rows, int cols)
+{
+  return Eigen::Block<const Derived>(m.derived(), 0, 0, rows, cols);
+}
+
+int main(int, char**)
+{
+  Matrix4d m = Matrix4d::Identity();
+  cout << topLeftCorner(4*m, 2, 3) << endl; // calls the const version
+  topLeftCorner(m, 2, 3) *= 5;              // calls the non-const version
+  cout << "Now the matrix m is:" << endl << m << endl;
+  return 0;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/class_CwiseBinaryOp.cpp

@@ -0,0 +1,18 @@
+#include <Eigen/Core>
+#include <iostream>
+using namespace Eigen;
+using namespace std;
+
+// define a custom template binary functor
+template<typename Scalar> struct MakeComplexOp {
+  EIGEN_EMPTY_STRUCT_CTOR(MakeComplexOp)
+  typedef complex<Scalar> result_type;
+  complex<Scalar> operator()(const Scalar& a, const Scalar& b) const { return complex<Scalar>(a,b); }
+};
+
+int main(int, char**)
+{
+  Matrix4d m1 = Matrix4d::Random(), m2 = Matrix4d::Random();
+  cout << m1.binaryExpr(m2, MakeComplexOp<double>()) << endl;
+  return 0;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/class_CwiseUnaryOp.cpp

@@ -0,0 +1,19 @@
+#include <Eigen/Core>
+#include <iostream>
+using namespace Eigen;
+using namespace std;
+
+// define a custom template unary functor
+template<typename Scalar>
+struct CwiseClampOp {
+  CwiseClampOp(const Scalar& inf, const Scalar& sup) : m_inf(inf), m_sup(sup) {}
+  const Scalar operator()(const Scalar& x) const { return x<m_inf ? m_inf : (x>m_sup ? m_sup : x); }
+  Scalar m_inf, m_sup;
+};
+
+int main(int, char**)
+{
+  Matrix4d m1 = Matrix4d::Random();
+  cout << m1 << endl << "becomes: " << endl << m1.unaryExpr(CwiseClampOp<double>(-0.5,0.5)) << endl;
+  return 0;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/class_CwiseUnaryOp_ptrfun.cpp

@@ -0,0 +1,20 @@
+#include <Eigen/Core>
+#include <iostream>
+using namespace Eigen;
+using namespace std;
+
+// define function to be applied coefficient-wise
+double ramp(double x)
+{
+  if (x > 0)
+    return x;
+  else 
+    return 0;
+}
+
+int main(int, char**)
+{
+  Matrix4d m1 = Matrix4d::Random();
+  cout << m1 << endl << "becomes: " << endl << m1.unaryExpr(ptr_fun(ramp)) << endl;
+  return 0;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/class_FixedBlock.cpp

@@ -0,0 +1,27 @@
+#include <Eigen/Core>
+#include <iostream>
+using namespace Eigen;
+using namespace std;
+
+template<typename Derived>
+Eigen::Block<Derived, 2, 2>
+topLeft2x2Corner(MatrixBase<Derived>& m)
+{
+  return Eigen::Block<Derived, 2, 2>(m.derived(), 0, 0);
+}
+
+template<typename Derived>
+const Eigen::Block<const Derived, 2, 2>
+topLeft2x2Corner(const MatrixBase<Derived>& m)
+{
+  return Eigen::Block<const Derived, 2, 2>(m.derived(), 0, 0);
+}
+
+int main(int, char**)
+{
+  Matrix3d m = Matrix3d::Identity();
+  cout << topLeft2x2Corner(4*m) << endl; // calls the const version
+  topLeft2x2Corner(m) *= 2;              // calls the non-const version
+  cout << "Now the matrix m is:" << endl << m << endl;
+  return 0;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/class_FixedReshaped.cpp

@@ -0,0 +1,22 @@
+#include <Eigen/Core>
+#include <iostream>
+using namespace Eigen;
+using namespace std;
+
+template<typename Derived>
+Eigen::Reshaped<Derived, 4, 2>
+reshape_helper(MatrixBase<Derived>& m)
+{
+  return Eigen::Reshaped<Derived, 4, 2>(m.derived());
+}
+
+int main(int, char**)
+{
+  MatrixXd m(2, 4);
+  m << 1, 2, 3, 4,
+       5, 6, 7, 8;
+  MatrixXd n = reshape_helper(m);
+  cout << "matrix m is:" << endl << m << endl;
+  cout << "matrix n is:" << endl << n << endl;
+  return 0;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/class_FixedVectorBlock.cpp

@@ -0,0 +1,27 @@
+#include <Eigen/Core>
+#include <iostream>
+using namespace Eigen;
+using namespace std;
+
+template<typename Derived>
+Eigen::VectorBlock<Derived, 2>
+firstTwo(MatrixBase<Derived>& v)
+{
+  return Eigen::VectorBlock<Derived, 2>(v.derived(), 0);
+}
+
+template<typename Derived>
+const Eigen::VectorBlock<const Derived, 2>
+firstTwo(const MatrixBase<Derived>& v)
+{
+  return Eigen::VectorBlock<const Derived, 2>(v.derived(), 0);
+}
+
+int main(int, char**)
+{
+  Matrix<int,1,6> v; v << 1,2,3,4,5,6;
+  cout << firstTwo(4*v) << endl; // calls the const version
+  firstTwo(v) *= 2;              // calls the non-const version
+  cout << "Now the vector v is:" << endl << v << endl;
+  return 0;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/class_Reshaped.cpp

@@ -0,0 +1,23 @@
+#include <Eigen/Core>
+#include <iostream>
+using namespace std;
+using namespace Eigen;
+
+template<typename Derived>
+const Reshaped<const Derived>
+reshape_helper(const MatrixBase<Derived>& m, int rows, int cols)
+{
+  return Reshaped<const Derived>(m.derived(), rows, cols);
+}
+
+int main(int, char**)
+{
+  MatrixXd m(3, 4);
+  m << 1, 4, 7, 10,
+       2, 5, 8, 11,
+       3, 6, 9, 12;
+  cout << m << endl;
+  Ref<const MatrixXd> n = reshape_helper(m, 2, 6);
+  cout << "Matrix m is:" << endl << m << endl;
+  cout << "Matrix n is:" << endl << n << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/class_VectorBlock.cpp

@@ -0,0 +1,27 @@
+#include <Eigen/Core>
+#include <iostream>
+using namespace Eigen;
+using namespace std;
+
+template<typename Derived>
+Eigen::VectorBlock<Derived>
+segmentFromRange(MatrixBase<Derived>& v, int start, int end)
+{
+  return Eigen::VectorBlock<Derived>(v.derived(), start, end-start);
+}
+
+template<typename Derived>
+const Eigen::VectorBlock<const Derived>
+segmentFromRange(const MatrixBase<Derived>& v, int start, int end)
+{
+  return Eigen::VectorBlock<const Derived>(v.derived(), start, end-start);
+}
+
+int main(int, char**)
+{
+  Matrix<int,1,6> v; v << 1,2,3,4,5,6;
+  cout << segmentFromRange(2*v, 2, 4) << endl; // calls the const version
+  segmentFromRange(v, 1, 3) *= 5;              // calls the non-const version
+  cout << "Now the vector v is:" << endl << v << endl;
+  return 0;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/function_taking_eigenbase.cpp

@@ -0,0 +1,18 @@
+#include <iostream>
+#include <Eigen/Core>
+using namespace Eigen;
+
+template <typename Derived>
+void print_size(const EigenBase<Derived>& b)
+{
+  std::cout << "size (rows, cols): " << b.size() << " (" << b.rows()
+            << ", " << b.cols() << ")" << std::endl;
+}
+
+int main()
+{
+    Vector3f v;
+    print_size(v);
+    // v.asDiagonal() returns a 3x3 diagonal matrix pseudo-expression
+    print_size(v.asDiagonal());
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/function_taking_ref.cpp

@@ -0,0 +1,19 @@
+#include <iostream>
+#include <Eigen/SVD>
+using namespace Eigen;
+using namespace std;
+
+float inv_cond(const Ref<const MatrixXf>& a)
+{
+  const VectorXf sing_vals = a.jacobiSvd().singularValues();
+  return sing_vals(sing_vals.size()-1) / sing_vals(0);
+}
+
+int main()
+{
+  Matrix4f m = Matrix4f::Random();
+  cout << "matrix m:" << endl << m << endl << endl;
+  cout << "inv_cond(m):          " << inv_cond(m)                      << endl;
+  cout << "inv_cond(m(1:3,1:3)): " << inv_cond(m.topLeftCorner(3,3))   << endl;
+  cout << "inv_cond(m+I):        " << inv_cond(m+Matrix4f::Identity()) << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/make_circulant.cpp

@@ -0,0 +1,11 @@
+/*
+This program is presented in several fragments in the doc page.
+Every fragment is in its own file; this file simply combines them.
+*/
+
+#include "make_circulant.cpp.preamble"
+#include "make_circulant.cpp.traits"
+#include "make_circulant.cpp.expression"
+#include "make_circulant.cpp.evaluator"
+#include "make_circulant.cpp.entry"
+#include "make_circulant.cpp.main"

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/make_circulant2.cpp

@@ -0,0 +1,52 @@
+#include <Eigen/Core>
+#include <iostream>
+
+using namespace Eigen;
+
+// [circulant_func]
+template<class ArgType>
+class circulant_functor {
+  const ArgType &m_vec;
+public:
+  circulant_functor(const ArgType& arg) : m_vec(arg) {}
+
+  const typename ArgType::Scalar& operator() (Index row, Index col) const {
+    Index index = row - col;
+    if (index < 0) index += m_vec.size();
+    return m_vec(index);
+  }
+};
+// [circulant_func]
+
+// [square]
+template<class ArgType>
+struct circulant_helper {
+  typedef Matrix<typename ArgType::Scalar,
+                 ArgType::SizeAtCompileTime,
+                 ArgType::SizeAtCompileTime,
+                 ColMajor,
+                 ArgType::MaxSizeAtCompileTime,
+                 ArgType::MaxSizeAtCompileTime> MatrixType;
+};
+// [square]
+
+// [makeCirculant]
+template <class ArgType>
+CwiseNullaryOp<circulant_functor<ArgType>, typename circulant_helper<ArgType>::MatrixType>
+makeCirculant(const Eigen::MatrixBase<ArgType>& arg)
+{
+  typedef typename circulant_helper<ArgType>::MatrixType MatrixType;
+  return MatrixType::NullaryExpr(arg.size(), arg.size(), circulant_functor<ArgType>(arg.derived()));
+}
+// [makeCirculant]
+
+// [main]
+int main()
+{
+  Eigen::VectorXd vec(4);
+  vec << 1, 2, 4, 8;
+  Eigen::MatrixXd mat;
+  mat = makeCirculant(vec);
+  std::cout << mat << std::endl;
+}
+// [main]

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/matrixfree_cg.cpp

@@ -0,0 +1,129 @@
+#include <iostream>
+#include <Eigen/Core>
+#include <Eigen/Dense>
+#include <Eigen/IterativeLinearSolvers>
+#include <unsupported/Eigen/IterativeSolvers>
+
+class MatrixReplacement;
+using Eigen::SparseMatrix;
+
+namespace Eigen {
+namespace internal {
+  // MatrixReplacement looks-like a SparseMatrix, so let's inherits its traits:
+  template<>
+  struct traits<MatrixReplacement> :  public Eigen::internal::traits<Eigen::SparseMatrix<double> >
+  {};
+}
+}
+
+// Example of a matrix-free wrapper from a user type to Eigen's compatible type
+// For the sake of simplicity, this example simply wrap a Eigen::SparseMatrix.
+class MatrixReplacement : public Eigen::EigenBase<MatrixReplacement> {
+public:
+  // Required typedefs, constants, and method:
+  typedef double Scalar;
+  typedef double RealScalar;
+  typedef int StorageIndex;
+  enum {
+    ColsAtCompileTime = Eigen::Dynamic,
+    MaxColsAtCompileTime = Eigen::Dynamic,
+    IsRowMajor = false
+  };
+
+  Index rows() const { return mp_mat->rows(); }
+  Index cols() const { return mp_mat->cols(); }
+
+  template<typename Rhs>
+  Eigen::Product<MatrixReplacement,Rhs,Eigen::AliasFreeProduct> operator*(const Eigen::MatrixBase<Rhs>& x) const {
+    return Eigen::Product<MatrixReplacement,Rhs,Eigen::AliasFreeProduct>(*this, x.derived());
+  }
+
+  // Custom API:
+  MatrixReplacement() : mp_mat(0) {}
+
+  void attachMyMatrix(const SparseMatrix<double> &mat) {
+    mp_mat = &mat;
+  }
+  const SparseMatrix<double> my_matrix() const { return *mp_mat; }
+
+private:
+  const SparseMatrix<double> *mp_mat;
+};
+
+
+// Implementation of MatrixReplacement * Eigen::DenseVector though a specialization of internal::generic_product_impl:
+namespace Eigen {
+namespace internal {
+
+  template<typename Rhs>
+  struct generic_product_impl<MatrixReplacement, Rhs, SparseShape, DenseShape, GemvProduct> // GEMV stands for matrix-vector
+  : generic_product_impl_base<MatrixReplacement,Rhs,generic_product_impl<MatrixReplacement,Rhs> >
+  {
+    typedef typename Product<MatrixReplacement,Rhs>::Scalar Scalar;
+
+    template<typename Dest>
+    static void scaleAndAddTo(Dest& dst, const MatrixReplacement& lhs, const Rhs& rhs, const Scalar& alpha)
+    {
+      // This method should implement "dst += alpha * lhs * rhs" inplace,
+      // however, for iterative solvers, alpha is always equal to 1, so let's not bother about it.
+      assert(alpha==Scalar(1) && "scaling is not implemented");
+      EIGEN_ONLY_USED_FOR_DEBUG(alpha);
+
+      // Here we could simply call dst.noalias() += lhs.my_matrix() * rhs,
+      // but let's do something fancier (and less efficient):
+      for(Index i=0; i<lhs.cols(); ++i)
+        dst += rhs(i) * lhs.my_matrix().col(i);
+    }
+  };
+
+}
+}
+
+int main()
+{
+  int n = 10;
+  Eigen::SparseMatrix<double> S = Eigen::MatrixXd::Random(n,n).sparseView(0.5,1);
+  S = S.transpose()*S;
+
+  MatrixReplacement A;
+  A.attachMyMatrix(S);
+
+  Eigen::VectorXd b(n), x;
+  b.setRandom();
+
+  // Solve Ax = b using various iterative solver with matrix-free version:
+  {
+    Eigen::ConjugateGradient<MatrixReplacement, Eigen::Lower|Eigen::Upper, Eigen::IdentityPreconditioner> cg;
+    cg.compute(A);
+    x = cg.solve(b);
+    std::cout << "CG:       #iterations: " << cg.iterations() << ", estimated error: " << cg.error() << std::endl;
+  }
+
+  {
+    Eigen::BiCGSTAB<MatrixReplacement, Eigen::IdentityPreconditioner> bicg;
+    bicg.compute(A);
+    x = bicg.solve(b);
+    std::cout << "BiCGSTAB: #iterations: " << bicg.iterations() << ", estimated error: " << bicg.error() << std::endl;
+  }
+
+  {
+    Eigen::GMRES<MatrixReplacement, Eigen::IdentityPreconditioner> gmres;
+    gmres.compute(A);
+    x = gmres.solve(b);
+    std::cout << "GMRES:    #iterations: " << gmres.iterations() << ", estimated error: " << gmres.error() << std::endl;
+  }
+
+  {
+    Eigen::DGMRES<MatrixReplacement, Eigen::IdentityPreconditioner> gmres;
+    gmres.compute(A);
+    x = gmres.solve(b);
+    std::cout << "DGMRES:   #iterations: " << gmres.iterations() << ", estimated error: " << gmres.error() << std::endl;
+  }
+
+  {
+    Eigen::MINRES<MatrixReplacement, Eigen::Lower|Eigen::Upper, Eigen::IdentityPreconditioner> minres;
+    minres.compute(A);
+    x = minres.solve(b);
+    std::cout << "MINRES:   #iterations: " << minres.iterations() << ", estimated error: " << minres.error() << std::endl;
+  }
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/nullary_indexing.cpp

@@ -0,0 +1,66 @@
+#include <Eigen/Core>
+#include <iostream>
+
+using namespace Eigen;
+
+// [functor]
+template<class ArgType, class RowIndexType, class ColIndexType>
+class indexing_functor {
+  const ArgType &m_arg;
+  const RowIndexType &m_rowIndices;
+  const ColIndexType &m_colIndices;
+public:
+  typedef Matrix<typename ArgType::Scalar,
+                 RowIndexType::SizeAtCompileTime,
+                 ColIndexType::SizeAtCompileTime,
+                 ArgType::Flags&RowMajorBit?RowMajor:ColMajor,
+                 RowIndexType::MaxSizeAtCompileTime,
+                 ColIndexType::MaxSizeAtCompileTime> MatrixType;
+
+  indexing_functor(const ArgType& arg, const RowIndexType& row_indices, const ColIndexType& col_indices)
+    : m_arg(arg), m_rowIndices(row_indices), m_colIndices(col_indices)
+  {}
+
+  const typename ArgType::Scalar& operator() (Index row, Index col) const {
+    return m_arg(m_rowIndices[row], m_colIndices[col]);
+  }
+};
+// [functor]
+
+// [function]
+template <class ArgType, class RowIndexType, class ColIndexType>
+CwiseNullaryOp<indexing_functor<ArgType,RowIndexType,ColIndexType>, typename indexing_functor<ArgType,RowIndexType,ColIndexType>::MatrixType>
+mat_indexing(const Eigen::MatrixBase<ArgType>& arg, const RowIndexType& row_indices, const ColIndexType& col_indices)
+{
+  typedef indexing_functor<ArgType,RowIndexType,ColIndexType> Func;
+  typedef typename Func::MatrixType MatrixType;
+  return MatrixType::NullaryExpr(row_indices.size(), col_indices.size(), Func(arg.derived(), row_indices, col_indices));
+}
+// [function]
+
+
+int main()
+{
+  std::cout << "[main1]\n";
+  Eigen::MatrixXi A = Eigen::MatrixXi::Random(4,4);
+  Array3i ri(1,2,1);
+  ArrayXi ci(6); ci << 3,2,1,0,0,2;
+  Eigen::MatrixXi B = mat_indexing(A, ri, ci);
+  std::cout << "A =" << std::endl;
+  std::cout << A << std::endl << std::endl;
+  std::cout << "A([" << ri.transpose() << "], [" << ci.transpose() << "]) =" << std::endl;
+  std::cout << B << std::endl;
+  std::cout << "[main1]\n";
+
+  std::cout << "[main2]\n";
+  B =  mat_indexing(A, ri+1, ci);
+  std::cout << "A(ri+1,ci) =" << std::endl;
+  std::cout << B << std::endl << std::endl;
+#if EIGEN_COMP_CXXVER >= 11
+  B =  mat_indexing(A, ArrayXi::LinSpaced(13,0,12).unaryExpr([](int x){return x%4;}), ArrayXi::LinSpaced(4,0,3));
+  std::cout << "A(ArrayXi::LinSpaced(13,0,12).unaryExpr([](int x){return x%4;}), ArrayXi::LinSpaced(4,0,3)) =" << std::endl;
+  std::cout << B << std::endl << std::endl;
+#endif
+  std::cout << "[main2]\n";
+}
+

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/tut_arithmetic_add_sub.cpp

@@ -0,0 +1,22 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace Eigen;
+
+int main()
+{
+  Matrix2d a;
+  a << 1, 2,
+       3, 4;
+  MatrixXd b(2,2);
+  b << 2, 3,
+       1, 4;
+  std::cout << "a + b =\n" << a + b << std::endl;
+  std::cout << "a - b =\n" << a - b << std::endl;
+  std::cout << "Doing a += b;" << std::endl;
+  a += b;
+  std::cout << "Now a =\n" << a << std::endl;
+  Vector3d v(1,2,3);
+  Vector3d w(1,0,0);
+  std::cout << "-v + w - v =\n" << -v + w - v << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/tut_arithmetic_dot_cross.cpp

@@ -0,0 +1,15 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace Eigen;
+using namespace std;
+int main()
+{
+  Vector3d v(1,2,3);
+  Vector3d w(0,1,2);
+
+  cout << "Dot product: " << v.dot(w) << endl;
+  double dp = v.adjoint()*w; // automatic conversion of the inner product to a scalar
+  cout << "Dot product via a matrix product: " << dp << endl;
+  cout << "Cross product:\n" << v.cross(w) << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/tut_arithmetic_matrix_mul.cpp

@@ -0,0 +1,19 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace Eigen;
+int main()
+{
+  Matrix2d mat;
+  mat << 1, 2,
+         3, 4;
+  Vector2d u(-1,1), v(2,0);
+  std::cout << "Here is mat*mat:\n" << mat*mat << std::endl;
+  std::cout << "Here is mat*u:\n" << mat*u << std::endl;
+  std::cout << "Here is u^T*mat:\n" << u.transpose()*mat << std::endl;
+  std::cout << "Here is u^T*v:\n" << u.transpose()*v << std::endl;
+  std::cout << "Here is u*v^T:\n" << u*v.transpose() << std::endl;
+  std::cout << "Let's multiply mat by itself" << std::endl;
+  mat = mat*mat;
+  std::cout << "Now mat is mat:\n" << mat << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/tut_arithmetic_redux_basic.cpp

@@ -0,0 +1,16 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace std;
+int main()
+{
+  Eigen::Matrix2d mat;
+  mat << 1, 2,
+         3, 4;
+  cout << "Here is mat.sum():       " << mat.sum()       << endl;
+  cout << "Here is mat.prod():      " << mat.prod()      << endl;
+  cout << "Here is mat.mean():      " << mat.mean()      << endl;
+  cout << "Here is mat.minCoeff():  " << mat.minCoeff()  << endl;
+  cout << "Here is mat.maxCoeff():  " << mat.maxCoeff()  << endl;
+  cout << "Here is mat.trace():     " << mat.trace()     << endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/tut_arithmetic_scalar_mul_div.cpp

@@ -0,0 +1,17 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace Eigen;
+
+int main()
+{
+  Matrix2d a;
+  a << 1, 2,
+       3, 4;
+  Vector3d v(1,2,3);
+  std::cout << "a * 2.5 =\n" << a * 2.5 << std::endl;
+  std::cout << "0.1 * v =\n" << 0.1 * v << std::endl;
+  std::cout << "Doing v *= 2;" << std::endl;
+  v *= 2;
+  std::cout << "Now v =\n" << v << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/tut_matrix_coefficient_accessors.cpp

@@ -0,0 +1,18 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace Eigen;
+
+int main()
+{
+  MatrixXd m(2,2);
+  m(0,0) = 3;
+  m(1,0) = 2.5;
+  m(0,1) = -1;
+  m(1,1) = m(1,0) + m(0,1);
+  std::cout << "Here is the matrix m:\n" << m << std::endl;
+  VectorXd v(2);
+  v(0) = 4;
+  v(1) = v(0) - 1;
+  std::cout << "Here is the vector v:\n" << v << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/tut_matrix_resize.cpp

@@ -0,0 +1,18 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace Eigen;
+
+int main()
+{
+  MatrixXd m(2,5);
+  m.resize(4,3);
+  std::cout << "The matrix m is of size "
+            << m.rows() << "x" << m.cols() << std::endl;
+  std::cout << "It has " << m.size() << " coefficients" << std::endl;
+  VectorXd v(2);
+  v.resize(5);
+  std::cout << "The vector v is of size " << v.size() << std::endl;
+  std::cout << "As a matrix, v is of size "
+            << v.rows() << "x" << v.cols() << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/examples/tut_matrix_resize_fixed_size.cpp

@@ -0,0 +1,12 @@
+#include <iostream>
+#include <Eigen/Dense>
+
+using namespace Eigen;
+
+int main()
+{
+  Matrix4d m;
+  m.resize(4,4); // no operation
+  std::cout << "The matrix m is of size "
+            << m.rows() << "x" << m.cols() << std::endl;
+}

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/AngleAxis_mimic_euler.cpp

@@ -0,0 +1,5 @@
+Matrix3f m;
+m = AngleAxisf(0.25*M_PI, Vector3f::UnitX())
+  * AngleAxisf(0.5*M_PI,  Vector3f::UnitY())
+  * AngleAxisf(0.33*M_PI, Vector3f::UnitZ());
+cout << m << endl << "is unitary: " << m.isUnitary() << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/Array_initializer_list_23_cxx11.cpp

@@ -0,0 +1,5 @@
+ArrayXXi a {
+  {1, 2, 3},
+  {3, 4, 5}
+};
+cout << a << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/Array_initializer_list_vector_cxx11.cpp

@@ -0,0 +1,2 @@
+Array<int, Dynamic, 1> v {{1, 2, 3, 4, 5}};
+cout << v << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/Array_variadic_ctor_cxx11.cpp

@@ -0,0 +1,3 @@
+Array<int, 1, 6> a(1, 2, 3, 4, 5, 6);
+Array<int, 3, 1> b {1, 2, 3};
+cout << a << "\n\n" << b << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/BiCGSTAB_simple.cpp

@@ -0,0 +1,11 @@
+  int n = 10000;
+  VectorXd x(n), b(n);
+  SparseMatrix<double> A(n,n);
+  /* ... fill A and b ... */ 
+  BiCGSTAB<SparseMatrix<double> > solver;
+  solver.compute(A);
+  x = solver.solve(b);
+  std::cout << "#iterations:     " << solver.iterations() << std::endl;
+  std::cout << "estimated error: " << solver.error()      << std::endl;
+  /* ... update b ... */
+  x = solver.solve(b); // solve again

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/BiCGSTAB_step_by_step.cpp

@@ -0,0 +1,14 @@
+  int n = 10000;
+  VectorXd x(n), b(n);
+  SparseMatrix<double> A(n,n);
+  /* ... fill A and b ... */ 
+  BiCGSTAB<SparseMatrix<double> > solver(A);
+  // start from a random solution
+  x = VectorXd::Random(n);
+  solver.setMaxIterations(1);
+  int i = 0;
+  do {
+    x = solver.solveWithGuess(b,x);
+    std::cout << i << " : " << solver.error() << std::endl;
+    ++i;
+  } while (solver.info()!=Success && i<100);

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/CMakeLists.txt

@@ -0,0 +1,31 @@
+file(GLOB snippets_SRCS "*.cpp")
+
+add_custom_target(all_snippets)
+
+foreach(snippet_src ${snippets_SRCS})
+  get_filename_component(snippet ${snippet_src} NAME_WE)
+  set(compile_snippet_target compile_${snippet})
+  set(compile_snippet_src ${compile_snippet_target}.cpp)
+  
+  file(READ ${snippet_src} snippet_source_code)
+  configure_file(${CMAKE_CURRENT_SOURCE_DIR}/compile_snippet.cpp.in
+                ${CMAKE_CURRENT_BINARY_DIR}/${compile_snippet_src})
+  add_executable(${compile_snippet_target}
+                ${CMAKE_CURRENT_BINARY_DIR}/${compile_snippet_src})
+  if(EIGEN_STANDARD_LIBRARIES_TO_LINK_TO)
+    target_link_libraries(${compile_snippet_target} ${EIGEN_STANDARD_LIBRARIES_TO_LINK_TO})
+  endif()
+
+  if(${snippet_src} MATCHES "deprecated")
+    set_target_properties(${compile_snippet_target} PROPERTIES COMPILE_FLAGS "-DEIGEN_NO_DEPRECATED_WARNING")
+  endif()
+  add_custom_command(
+    TARGET ${compile_snippet_target}
+    POST_BUILD
+    COMMAND ${compile_snippet_target}
+    ARGS >${CMAKE_CURRENT_BINARY_DIR}/${snippet}.out
+  )
+  add_dependencies(all_snippets ${compile_snippet_target})
+  set_source_files_properties(${CMAKE_CURRENT_BINARY_DIR}/${compile_snippet_src}
+                              PROPERTIES OBJECT_DEPENDS ${snippet_src})
+endforeach()

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/ColPivHouseholderQR_solve.cpp

@@ -0,0 +1,8 @@
+Matrix3f m = Matrix3f::Random();
+Matrix3f y = Matrix3f::Random();
+cout << "Here is the matrix m:" << endl << m << endl;
+cout << "Here is the matrix y:" << endl << y << endl;
+Matrix3f x;
+x = m.colPivHouseholderQr().solve(y);
+assert(y.isApprox(m*x));
+cout << "Here is a solution x to the equation mx=y:" << endl << x << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/ComplexEigenSolver_compute.cpp

@@ -0,0 +1,16 @@
+MatrixXcf A = MatrixXcf::Random(4,4);
+cout << "Here is a random 4x4 matrix, A:" << endl << A << endl << endl;
+
+ComplexEigenSolver<MatrixXcf> ces;
+ces.compute(A);
+cout << "The eigenvalues of A are:" << endl << ces.eigenvalues() << endl;
+cout << "The matrix of eigenvectors, V, is:" << endl << ces.eigenvectors() << endl << endl;
+
+complex<float> lambda = ces.eigenvalues()[0];
+cout << "Consider the first eigenvalue, lambda = " << lambda << endl;
+VectorXcf v = ces.eigenvectors().col(0);
+cout << "If v is the corresponding eigenvector, then lambda * v = " << endl << lambda * v << endl;
+cout << "... and A * v = " << endl << A * v << endl << endl;
+
+cout << "Finally, V * D * V^(-1) = " << endl
+     << ces.eigenvectors() * ces.eigenvalues().asDiagonal() * ces.eigenvectors().inverse() << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/ComplexEigenSolver_eigenvalues.cpp

@@ -0,0 +1,4 @@
+MatrixXcf ones = MatrixXcf::Ones(3,3);
+ComplexEigenSolver<MatrixXcf> ces(ones, /* computeEigenvectors = */ false);
+cout << "The eigenvalues of the 3x3 matrix of ones are:" 
+     << endl << ces.eigenvalues() << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/ComplexEigenSolver_eigenvectors.cpp

@@ -0,0 +1,4 @@
+MatrixXcf ones = MatrixXcf::Ones(3,3);
+ComplexEigenSolver<MatrixXcf> ces(ones);
+cout << "The first eigenvector of the 3x3 matrix of ones is:" 
+     << endl << ces.eigenvectors().col(0) << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/ComplexSchur_compute.cpp

@@ -0,0 +1,6 @@
+MatrixXcf A = MatrixXcf::Random(4,4);
+ComplexSchur<MatrixXcf> schur(4);
+schur.compute(A);
+cout << "The matrix T in the decomposition of A is:" << endl << schur.matrixT() << endl;
+schur.compute(A.inverse());
+cout << "The matrix T in the decomposition of A^(-1) is:" << endl << schur.matrixT() << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/ComplexSchur_matrixT.cpp

@@ -0,0 +1,4 @@
+MatrixXcf A = MatrixXcf::Random(4,4);
+cout << "Here is a random 4x4 matrix, A:" << endl << A << endl << endl;
+ComplexSchur<MatrixXcf> schurOfA(A, false); // false means do not compute U
+cout << "The triangular matrix T is:" << endl << schurOfA.matrixT() << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/ComplexSchur_matrixU.cpp

@@ -0,0 +1,4 @@
+MatrixXcf A = MatrixXcf::Random(4,4);
+cout << "Here is a random 4x4 matrix, A:" << endl << A << endl << endl;
+ComplexSchur<MatrixXcf> schurOfA(A);
+cout << "The unitary matrix U is:" << endl << schurOfA.matrixU() << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/Cwise_abs.cpp

@@ -0,0 +1,2 @@
+Array3d v(1,-2,-3);
+cout << v.abs() << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/Cwise_abs2.cpp

@@ -0,0 +1,2 @@
+Array3d v(1,-2,-3);
+cout << v.abs2() << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/Cwise_acos.cpp

@@ -0,0 +1,2 @@
+Array3d v(0, sqrt(2.)/2, 1);
+cout << v.acos() << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/Cwise_arg.cpp

@@ -0,0 +1,3 @@
+ArrayXcf v = ArrayXcf::Random(3);
+cout << v << endl << endl;
+cout << arg(v) << endl;

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/Cwise_array_power_array.cpp

@@ -0,0 +1,4 @@
+Array<double,1,3> x(8,25,3),
+                  e(1./3.,0.5,2.);
+cout << "[" << x << "]^[" << e << "] = " << x.pow(e) << endl; // using ArrayBase::pow
+cout << "[" << x << "]^[" << e << "] = " << pow(x,e) << endl; // using Eigen::pow

third_party/Dyn-HaMR/third-party/DROID-SLAM/thirdparty/eigen/doc/snippets/Cwise_asin.cpp

@@ -0,0 +1,2 @@
+Array3d v(0, sqrt(2.)/2, 1);
+cout << v.asin() << endl;