diff --git a/.DS_Store b/.DS_Store new file mode 100644 index 0000000..5008ddf Binary files /dev/null and b/.DS_Store differ diff --git a/.gitignore b/.gitignore index 531169c..330ac88 100644 --- a/.gitignore +++ b/.gitignore @@ -1,5 +1,4 @@ -obj/ -.*.sw* -fieldgen -.viewer_state.txt -out.obj +obj/ +.*.sw* +.viewer_state.txt +out.obj diff --git a/Makefile b/Makefile index 8d2071a..79f2d03 100644 --- a/Makefile +++ b/Makefile @@ -1,121 +1,123 @@ -####################################################################################################### - -# Specify library locations here (add or remove "#" marks to comment/uncomment lines for your platform) - -# Mac OS X -DDG_INCLUDE_PATH = -I/usr/local/include -DDG_LIBRARY_PATH = -L/usr/local/lib -DDG_BLAS_LIBS = -framework Accelerate -DDG_SUITESPARSE_LIBS = -lspqr -lumfpack -lcholmod -lmetis -lcolamd -lccolamd -lcamd -lamd -lm -lsuitesparseconfig -DDG_OPENGL_LIBS = -framework OpenGL -framework GLUT - -# # Linux -# DDG_INCLUDE_PATH = -# DDG_LIBRARY_PATH = -# DDG_BLAS_LIBS = -llapack -lblas -lgfortran -# DDG_SUITESPARSE_LIBS = -lspqr -lcholmod -lmetis -lcolamd -lccolamd -lcamd -lamd -lm -# DDG_OPENGL_LIBS = -lglut -lGL -lGLU -lX11 - -# # Windows / Cygwin -# DDG_INCLUDE_PATH = -I/usr/include/opengl -I/usr/include/suitesparse -# DDG_LIBRARY_PATH = -L/usr/lib/w32api -L/usr/lib/suitesparse -# DDG_BLAS_LIBS = -llapack -lblas -# DDG_SUITESPARSE_LIBS = -lspqr -lcholmod -lcolamd -lccolamd -lcamd -lamd -lm -# DDG_OPENGL_LIBS = -lglut32 -lglu32 -lopengl32 - -####################################################################################################### - -TARGET = fieldviz -CLTARGET = fieldgen -CC = g++ -LD = g++ -CFLAGS = -g -std=c++11 -Wall -Wno-deprecated -Werror -Wno-error=deprecated-declarations -ansi -pedantic $(DDG_INCLUDE_PATH) -I./include -I./src -LFLAGS = -g -Wall -Wno-deprecated -Werror -pedantic $(DDG_LIBRARY_PATH) -LIBS = $(DDG_OPENGL_LIBS) $(DDG_SUITESPARSE_LIBS) $(DDG_BLAS_LIBS) -CLLIBS = $(DDG_SUITESPARSE_LIBS) $(DDG_BLAS_LIBS) - -## !! Do not edit below this line -- dependencies can be updated by running ./update ################## - -OBJS = obj/Camera.o obj/Complex.o obj/DenseMatrix.o obj/Edge.o obj/Face.o obj/HalfEdge.o obj/Image.o obj/KVecDir.o obj/LinearContext.o obj/Mesh.o obj/MeshIO.o obj/Quaternion.o obj/Real.o obj/SectionIntegrals.o obj/Shader.o obj/SparseMatrix.o obj/Vector.o obj/Vertex.o obj/Viewer.o obj/main.o -CLOBJS = obj/Complex.o obj/DenseMatrix.o obj/Edge.o obj/Face.o obj/HalfEdge.o obj/KVecDir.o obj/LinearContext.o obj/Mesh.o obj/MeshIO.o obj/Quaternion.o obj/Real.o obj/SectionIntegrals.o obj/SparseMatrix.o obj/Vector.o obj/Vertex.o obj/commandline.o - -all: $(TARGET) - -$(TARGET): $(OBJS) - $(LD) $(LFLAGS) $(OBJS) $(LIBS) -o $(TARGET) - -commandline: $(CLOBJS) - $(LD) $(LFLAGS) $(CLOBJS) $(CLLIBS) -o $(CLTARGET) - -obj/Camera.o: src/Camera.cpp include/Camera.h include/Quaternion.h include/Vector.h - $(CC) $(CFLAGS) -c src/Camera.cpp -o obj/Camera.o - -obj/Complex.o: src/Complex.cpp include/Complex.h - $(CC) $(CFLAGS) -c src/Complex.cpp -o obj/Complex.o - -obj/DenseMatrix.o: src/DenseMatrix.cpp include/DenseMatrix.h include/Types.h src/DenseMatrix.inl include/DenseMatrix.h include/LinearContext.h include/Quaternion.h include/Vector.h include/SparseMatrix.h include/Complex.h src/SparseMatrix.inl include/Real.h include/Complex.h include/Utility.h - $(CC) $(CFLAGS) -c src/DenseMatrix.cpp -o obj/DenseMatrix.o - -obj/Edge.o: src/Edge.cpp include/Edge.h include/Types.h include/Quaternion.h include/Vector.h include/Complex.h include/Mesh.h include/HalfEdge.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h - $(CC) $(CFLAGS) -c src/Edge.cpp -o obj/Edge.o - -obj/Face.o: src/Face.cpp include/Face.h include/Types.h include/Complex.h include/Vector.h include/Mesh.h include/HalfEdge.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/Vector.h include/Utility.h - $(CC) $(CFLAGS) -c src/Face.cpp -o obj/Face.o - -obj/HalfEdge.o: src/HalfEdge.cpp include/HalfEdge.h include/Vector.h include/Types.h include/Complex.h include/Quaternion.h include/Edge.h include/Mesh.h include/HalfEdge.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/Vertex.h include/Vector.h - $(CC) $(CFLAGS) -c src/HalfEdge.cpp -o obj/HalfEdge.o - -obj/Image.o: src/Image.cpp include/Image.h - $(CC) $(CFLAGS) -c src/Image.cpp -o obj/Image.o - -obj/KVecDir.o: src/KVecDir.cpp include/Utility.h include/Complex.h include/Complex.h include/Mesh.h include/HalfEdge.h include/Vector.h include/Types.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/SparseMatrix.h src/SparseMatrix.inl include/Real.h include/Complex.h include/SparseMatrix.h include/DenseMatrix.h src/DenseMatrix.inl include/LinearContext.h include/Quaternion.h include/Utility.h include/SectionIntegrals.h - $(CC) $(CFLAGS) -c src/KVecDir.cpp -o obj/KVecDir.o - -obj/LinearContext.o: src/LinearContext.cpp include/LinearContext.h - $(CC) $(CFLAGS) -c src/LinearContext.cpp -o obj/LinearContext.o - -obj/Mesh.o: src/Mesh.cpp include/Mesh.h include/HalfEdge.h include/Vector.h include/Types.h include/Complex.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/MeshIO.h - $(CC) $(CFLAGS) -c src/Mesh.cpp -o obj/Mesh.o - -obj/MeshIO.o: src/MeshIO.cpp include/MeshIO.h include/Vector.h include/Mesh.h include/HalfEdge.h include/Types.h include/Complex.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h - $(CC) $(CFLAGS) -c src/MeshIO.cpp -o obj/MeshIO.o - -obj/Quaternion.o: src/Quaternion.cpp include/Quaternion.h include/Vector.h include/Complex.h - $(CC) $(CFLAGS) -c src/Quaternion.cpp -o obj/Quaternion.o - -obj/Real.o: src/Real.cpp include/Real.h - $(CC) $(CFLAGS) -c src/Real.cpp -o obj/Real.o - -obj/SectionIntegrals.o: src/SectionIntegrals.cpp include/Complex.h include/SectionIntegrals.h include/Complex.h - $(CC) $(CFLAGS) -c src/SectionIntegrals.cpp -o obj/SectionIntegrals.o - -obj/Shader.o: src/Shader.cpp include/Shader.h - $(CC) $(CFLAGS) -c src/Shader.cpp -o obj/Shader.o - -obj/SparseMatrix.o: src/SparseMatrix.cpp include/SparseMatrix.h include/Types.h include/Complex.h src/SparseMatrix.inl include/Real.h include/Complex.h include/SparseMatrix.h include/DenseMatrix.h src/DenseMatrix.inl include/LinearContext.h include/Quaternion.h include/Vector.h include/Utility.h - $(CC) $(CFLAGS) -c src/SparseMatrix.cpp -o obj/SparseMatrix.o - -obj/Vector.o: src/Vector.cpp include/Vector.h include/Complex.h - $(CC) $(CFLAGS) -c src/Vector.cpp -o obj/Vector.o - -obj/Vertex.o: src/Vertex.cpp include/Vertex.h include/Vector.h include/Types.h include/Complex.h include/HalfEdge.h include/Quaternion.h include/Mesh.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/HalfEdge.h include/Quaternion.h - $(CC) $(CFLAGS) -c src/Vertex.cpp -o obj/Vertex.o - -obj/Viewer.o: src/Viewer.cpp include/Viewer.h include/Mesh.h include/HalfEdge.h include/Vector.h include/Types.h include/Complex.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/Camera.h include/Shader.h include/Image.h include/Utility.h include/SectionIntegrals.h - $(CC) $(CFLAGS) -c src/Viewer.cpp -o obj/Viewer.o - -obj/main.o: src/main.cpp include/Viewer.h include/Mesh.h include/HalfEdge.h include/Vector.h include/Types.h include/Complex.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/Camera.h include/Shader.h include/DenseMatrix.h src/DenseMatrix.inl include/DenseMatrix.h include/LinearContext.h include/Quaternion.h include/SparseMatrix.h src/SparseMatrix.inl include/Real.h include/Complex.h include/Utility.h - $(CC) $(CFLAGS) -c src/main.cpp -o obj/main.o - -obj/commandline.o: src/main.cpp include/Mesh.h include/HalfEdge.h include/Vector.h include/Types.h include/Complex.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/Camera.h include/DenseMatrix.h src/DenseMatrix.inl include/DenseMatrix.h include/LinearContext.h include/Quaternion.h include/SparseMatrix.h src/SparseMatrix.inl include/Real.h include/Complex.h include/Utility.h - $(CC) $(CFLAGS) -c src/commandline.cpp -o obj/commandline.o - - -clean: - rm -f $(OBJS) - rm -f $(CLOBJS) - rm -f $(TARGET) - rm -f $(TARGET).exe - rm -f $(CLTARGET) - rm -f $(CLTARGET).exe - +####################################################################################################### + +# Specify library locations here (add or remove "#" marks to comment/uncomment lines for your platform) + +# Mac OS X +# DDG_INCLUDE_PATH = -I/usr/local/include +# DDG_LIBRARY_PATH = -L/usr/local/lib +# DDG_BLAS_LIBS = -framework Accelerate +# DDG_SUITESPARSE_LIBS = -lspqr -lumfpack -lcholmod -lmetis -lcolamd -lccolamd -lcamd -lamd -lm -lsuitesparseconfig +# DDG_OPENGL_LIBS = -framework OpenGL -framework GLUT + +# Linux +DDG_INCLUDE_PATH = +DDG_LIBRARY_PATH = +DDG_BLAS_LIBS = -llapack -lblas -lgfortran +DDG_SUITESPARSE_LIBS = -lspqr -lcholmod -lmetis -lcolamd -lccolamd -lcamd -lamd -lm +DDG_OPENGL_LIBS = -lglut -lGL -lGLU -lX11 + +FLAGS = -lGL -lGLU -lglut -lspqr -lcholmod -lmetis -lcolamd -lccolamd -lcamd -lamd -lm -llapack -lblas -lgfortran -lumfpack + +# # Windows / Cygwin +# DDG_INCLUDE_PATH = -I/usr/include/opengl -I/usr/include/suitesparse +# DDG_LIBRARY_PATH = -L/usr/lib/w32api -L/usr/lib/suitesparse +# DDG_BLAS_LIBS = -llapack -lblas +# DDG_SUITESPARSE_LIBS = -lspqr -lcholmod -lcolamd -lccolamd -lcamd -lamd -lm +# DDG_OPENGL_LIBS = -lglut32 -lglu32 -lopengl32 + +####################################################################################################### + +TARGET = fieldviz +CLTARGET = fieldgen +CC = g++ +LD = g++ +CFLAGS = -g -std=c++11 -Wall -Wno-deprecated -Werror -Wno-error=deprecated-declarations -ansi -pedantic $(DDG_INCLUDE_PATH) -I./include -I./src +LFLAGS = -g -Wall -Wno-deprecated -Werror -pedantic $(DDG_LIBRARY_PATH) +LIBS = $(DDG_OPENGL_LIBS) $(DDG_SUITESPARSE_LIBS) $(DDG_BLAS_LIBS) +CLLIBS = $(DDG_SUITESPARSE_LIBS) $(DDG_BLAS_LIBS) + +## !! Do not edit below this line -- dependencies can be updated by running ./update ################## + +OBJS = obj/Camera.o obj/Complex.o obj/DenseMatrix.o obj/Edge.o obj/Face.o obj/HalfEdge.o obj/Image.o obj/KVecDir.o obj/LinearContext.o obj/Mesh.o obj/MeshIO.o obj/Quaternion.o obj/Real.o obj/SectionIntegrals.o obj/Shader.o obj/SparseMatrix.o obj/Vector.o obj/Vertex.o obj/Viewer.o obj/main.o +CLOBJS = obj/Complex.o obj/DenseMatrix.o obj/Edge.o obj/Face.o obj/HalfEdge.o obj/KVecDir.o obj/LinearContext.o obj/Mesh.o obj/MeshIO.o obj/Quaternion.o obj/Real.o obj/SectionIntegrals.o obj/SparseMatrix.o obj/Vector.o obj/Vertex.o obj/commandline.o + +all: $(TARGET) + +$(TARGET): $(OBJS) + $(LD) $(LFLAGS) $(OBJS) $(LIBS) -lumfpack -L/usr/local/lib -I/usr/local/include -o $(TARGET) + +commandline: $(CLOBJS) + $(LD) $(LFLAGS) $(CLOBJS) $(CLLIBS) -lumfpack -L/usr/local/lib -I/usr/local/include -o $(CLTARGET) + +obj/Camera.o: src/Camera.cpp include/Camera.h include/Quaternion.h include/Vector.h + $(CC) $(CFLAGS) -c src/Camera.cpp -o obj/Camera.o + +obj/Complex.o: src/Complex.cpp include/Complex.h + $(CC) $(CFLAGS) -c src/Complex.cpp -o obj/Complex.o + +obj/DenseMatrix.o: src/DenseMatrix.cpp include/DenseMatrix.h include/Types.h src/DenseMatrix.inl include/DenseMatrix.h include/LinearContext.h include/Quaternion.h include/Vector.h include/SparseMatrix.h include/Complex.h src/SparseMatrix.inl include/Real.h include/Complex.h include/Utility.h + $(CC) $(CFLAGS) -c src/DenseMatrix.cpp -o obj/DenseMatrix.o + +obj/Edge.o: src/Edge.cpp include/Edge.h include/Types.h include/Quaternion.h include/Vector.h include/Complex.h include/Mesh.h include/HalfEdge.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h + $(CC) $(CFLAGS) -c src/Edge.cpp -o obj/Edge.o + +obj/Face.o: src/Face.cpp include/Face.h include/Types.h include/Complex.h include/Vector.h include/Mesh.h include/HalfEdge.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/Vector.h include/Utility.h + $(CC) $(CFLAGS) -c src/Face.cpp -o obj/Face.o + +obj/HalfEdge.o: src/HalfEdge.cpp include/HalfEdge.h include/Vector.h include/Types.h include/Complex.h include/Quaternion.h include/Edge.h include/Mesh.h include/HalfEdge.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/Vertex.h include/Vector.h + $(CC) $(CFLAGS) -c src/HalfEdge.cpp -o obj/HalfEdge.o + +obj/Image.o: src/Image.cpp include/Image.h + $(CC) $(CFLAGS) -c src/Image.cpp -o obj/Image.o + +obj/KVecDir.o: src/KVecDir.cpp include/Utility.h include/Complex.h include/Complex.h include/Mesh.h include/HalfEdge.h include/Vector.h include/Types.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/SparseMatrix.h src/SparseMatrix.inl include/Real.h include/Complex.h include/SparseMatrix.h include/DenseMatrix.h src/DenseMatrix.inl include/LinearContext.h include/Quaternion.h include/Utility.h include/SectionIntegrals.h + $(CC) $(CFLAGS) -c src/KVecDir.cpp -o obj/KVecDir.o + +obj/LinearContext.o: src/LinearContext.cpp include/LinearContext.h + $(CC) $(CFLAGS) -c src/LinearContext.cpp -o obj/LinearContext.o + +obj/Mesh.o: src/Mesh.cpp include/Mesh.h include/HalfEdge.h include/Vector.h include/Types.h include/Complex.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/MeshIO.h + $(CC) $(CFLAGS) -c src/Mesh.cpp -o obj/Mesh.o + +obj/MeshIO.o: src/MeshIO.cpp include/MeshIO.h include/Vector.h include/Mesh.h include/HalfEdge.h include/Types.h include/Complex.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h + $(CC) $(CFLAGS) -c src/MeshIO.cpp -o obj/MeshIO.o + +obj/Quaternion.o: src/Quaternion.cpp include/Quaternion.h include/Vector.h include/Complex.h + $(CC) $(CFLAGS) -c src/Quaternion.cpp -o obj/Quaternion.o + +obj/Real.o: src/Real.cpp include/Real.h + $(CC) $(CFLAGS) -c src/Real.cpp -o obj/Real.o + +obj/SectionIntegrals.o: src/SectionIntegrals.cpp include/Complex.h include/SectionIntegrals.h include/Complex.h + $(CC) $(CFLAGS) -c src/SectionIntegrals.cpp -o obj/SectionIntegrals.o + +obj/Shader.o: src/Shader.cpp include/Shader.h + $(CC) $(CFLAGS) -c src/Shader.cpp -o obj/Shader.o + +obj/SparseMatrix.o: src/SparseMatrix.cpp include/SparseMatrix.h include/Types.h include/Complex.h src/SparseMatrix.inl include/Real.h include/Complex.h include/SparseMatrix.h include/DenseMatrix.h src/DenseMatrix.inl include/LinearContext.h include/Quaternion.h include/Vector.h include/Utility.h + $(CC) $(CFLAGS) -c src/SparseMatrix.cpp -o obj/SparseMatrix.o + +obj/Vector.o: src/Vector.cpp include/Vector.h include/Complex.h + $(CC) $(CFLAGS) -c src/Vector.cpp -o obj/Vector.o + +obj/Vertex.o: src/Vertex.cpp include/Vertex.h include/Vector.h include/Types.h include/Complex.h include/HalfEdge.h include/Quaternion.h include/Mesh.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/HalfEdge.h include/Quaternion.h + $(CC) $(CFLAGS) -c src/Vertex.cpp -o obj/Vertex.o + +obj/Viewer.o: src/Viewer.cpp include/Viewer.h include/Mesh.h include/HalfEdge.h include/Vector.h include/Types.h include/Complex.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/Camera.h include/Shader.h include/Image.h include/Utility.h include/SectionIntegrals.h + $(CC) $(CFLAGS) -c src/Viewer.cpp -o obj/Viewer.o + +obj/main.o: src/main.cpp include/Viewer.h include/Mesh.h include/HalfEdge.h include/Vector.h include/Types.h include/Complex.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/AliasTable.h include/Camera.h include/Shader.h include/DenseMatrix.h src/DenseMatrix.inl include/DenseMatrix.h include/LinearContext.h include/Quaternion.h include/SparseMatrix.h src/SparseMatrix.inl include/Real.h include/Complex.h include/Utility.h + $(CC) $(CFLAGS) -c src/main.cpp -o obj/main.o + +obj/commandline.o: src/main.cpp include/Mesh.h include/HalfEdge.h include/Vector.h include/Types.h include/Complex.h include/Quaternion.h include/Vertex.h include/Edge.h include/Face.h include/Camera.h include/DenseMatrix.h src/DenseMatrix.inl include/DenseMatrix.h include/LinearContext.h include/Quaternion.h include/SparseMatrix.h src/SparseMatrix.inl include/Real.h include/Complex.h include/Utility.h + $(CC) $(CFLAGS) -c src/commandline.cpp -o obj/commandline.o + + +clean: + rm -f $(OBJS) + rm -f $(CLOBJS) + rm -f $(TARGET) + rm -f $(TARGET).exe + rm -f $(CLTARGET) + rm -f $(CLTARGET).exe + diff --git a/README.md b/README.md index 97aea2f..58c7bee 100644 --- a/README.md +++ b/README.md @@ -1,210 +1,213 @@ -# fieldgen v0.02 --------------------------------------------- -**authors:** Keenan Crane, Peter Schröder - -![fieldgen](icon.svg) - -## About - -Given a triangulated surface, `fieldgen` computes the smoothest unit vector -field, or more generally, the smoothest unit _n_-vector field (e.g., _n_=1,2,4 -for unit vector, line, and cross fields, respectively). Singularities, -such as sources and sinks, are automatically placed in locations that allow -the field to achieve optimal smoothness. Such fields can then be used for a -wide variety of computer graphics and geometry processing tasks such as -surface parameterization, quad meshing, architectural geometry, anisotropic -shading, and texture synthesis. - -The code is a reference implementation of the paper - - >Felix Knöppel, Keenan Crane, Ulrich Pinkall, Peter Schröder - ["Globally Optimal Direction Fields"](http://www.cs.cmu.edu/~kmcrane/Projects/GloballyOptimalDirectionFields/paper.pdf) - SIGGRAPH 2013 - -This version carefully implements the finite element connection Laplacian as -described in the paper, using Chebyshev expansions to ensure good numerics. It -also supports some sophisticated features, such as holomorphic/anti-holomorphic -energy, alignment with principal curvature directions, and alignment with the -boundary. - -The code itself is somewhat messy research code with a very basic user -interface. Several other implementations are available, which use a less -sophisticated discretization of the connection Laplacian and do not support -some of the features mentioned above. However, they may be useful for certain -tasks, or in different build settings. In particular: - - - The `stripes` code provides a simple version of the algorithm, - as well as editing of singularities and generation of a field- - aligned parameterization: - - - - - There is also an implementation in _Directional_, which is built on - top of [Eigen](http://eigen.tuxfamily.org), and is hence header-only: - - - -Note that `fieldgen` and stripes are both built on top of the CHOLMOD sparse -direct solver, whereas Directional is built on top of Eigen. The latter can be -easier to install (since it is header only) but can be significantly slower, -since the Eigen Cholseky solver is much less mature than CHOLMOD. See also -below for easy install instructions for CHOLMOD. - -### Version History - -* 0.01 (Sep 1, 2013) — Initial release -* 0.02 (Jun 4, 2019) — Added boundary alignment, OBJ output, command line support - -## Installation - -fieldgen depends on SuiteSparse, which you can obtain from - - - -On most platforms, SuiteSparse can be installed via standard -package managers. On Mac OS X / HomeBrew, it can be installed via - - ```brew install homebrew/science/suite-sparse``` - -To build, you will have to edit the Makefile and set the include/lib -paths accordingly. Some examples are provided. Once these paths -have been set, simply type - - ```make``` - -which (barring any compilation/linker errors) should build an executable -called `fieldviz`. - - -## Running - -Once built, you should be able to run the executable by typing - -```./fieldviz data/bunny.obj``` - -(or specifying a path to any mesh file in OBJ format). You should -see a window showing the mesh and some information in the upper-left -corner. Hitting `space` will generate the smoothest field on the surface: - -![interface](interface.jpg) - -Other commands can be accessed via the keyboard: - -| key | action -| -------- | ----------------------------------------------------------------------------- -| `space` | update field -| `k/K` | increase/decrease the symmetry degree of the field (1=vector, 2=line, 4=cross) -| `s/S` | adjust the smoothness energy; -1=holomorphic, 0=Dirichlet, 1=antiholomorphic -| `t/T` | adjust trade off between smoothness and curvature alignment (if enabled) -| `c` | toggle curvature alignment -| `b` | toggle boundary alignment -| `m` | draw smooth shaded -| `f` | draw faceted (with wireframe) -| `*` | show/hide singularities -| `w` | write solution to `out.obj` -| `` ` `` | take a screenshot -| `escape` | exit - -**Note:** curvature alignment works only when the symmetry degree of the field is 2 or 4. - -### Input - -`fieldgen` assumes that the input is an [oriented](https://en.wikipedia.org/wiki/Orientability) and [manifold](http://15462.courses.cs.cmu.edu/fall2018/lecture/meshes/slide_013) triangle mesh, with or without boundary. Meshes should be specified in the [Wavefront OBJ file format](https://en.wikipedia.org/wiki/Wavefront_.obj_file). Note that the resolution of the input mesh will affect the resolution of the output field, since one vector is computed per vertex. Also note that extremely poor-quality meshes (e.g., with near-zero angles or triangle areas) might cause problems for field generation, though generally the algorithm is very robust (see in particular Figure 16 of the paper by Knöppel et al, listed above). - -### Output - -Hitting the `w` key will write the current field (and the mesh) to the file -`out.obj` in the working directory. Files are written as triangle meshes in -[Wavefront OBJ format](https://en.wikipedia.org/wiki/Wavefront_.obj_file). -They also include a tangent vector field, encoded in comment lines at the end -of the file. The degree of the field is specified by a line of the form - -```degree n``` - -where (for instance) _n_=1 is a unit vector field, _n_=2 is a -line field, and _n_=4 is a cross field. Individual vectors -are then specified by lines of the form - -```field i x y z``` - -where `i` is the index of the vertex, and `x` `y` `z` are the three components of the tangent vector. In the case where these vectors encode an _n_-direction field this vector is just one of the _n_ possible vectors. The other vectors can be obtained by rotating this one around the corresponding vertex normal, which is given in the usual `vn` line. Singularities in the field, which are associated with faces, are indicated by lines - - singularity `i` `s` - -where `i` is the index of the triangle, and `s` is the degree of the singularity. All indices are 1-based rather than 0-based. - -## Command Line - -A command line version of `fieldgen` is also available, which can be useful when running in batch mode, over a network, or in other situations where OpenGL visualization is not available or appropriate (e.g., bundling `fieldgen` into a plugin). - -**To build:** follow the same instructions above, but type - -```make commandline``` - -instead of just `make`. Doing so should produce an executable called `fieldgen` (rather than `fieldviz`). - -**To run:** the only mandatory arguments are paths to the input and output meshes (in OBJ format); by default, `fieldgen` will then compute the smoothest unit vector field. To get a full set of options, type - -```./fieldgen``` - -which should print the usage string - -```usage: ./fieldgen OBJ_INPUT_PATH OBJ_OUTPUT_PATH``` -``` [--degree=n] [--alignToCurvature] [--alignToBoundary] [--s=S] [--t=T]``` - -The command line options are as follows: - -* `degree` — field degree (1=unit vector field, 2=line field, 4=cross field, etc.) -* `alignToCurvature` — align field to principal curvature directions -* `alignToBoundary` — align field to the domain boundary -* `s/S` — controls the smoothness energy; -1=holomorphic, 0=Dirichlet, 1=antiholomorphic -* `t/T` — controls the trade off between smoothness and curvature alignment (if enabled) - -Note that enabling boundary alignment will override curvature alignment. - -## Source - -Much of the source code in this archive is just there to support basic stuff -like loading a mesh, solving a linear system, etc. The key routines are all in - -* `Mesh.cpp` -* `KVecDir.cpp` -* `SectionIntegrals.cpp` - -The main routines are - - -* `Mesh::InitKVecDirData()` — setup -* `Mesh::ComputeSmoothest()` — computes smoothest field -* `Mesh::ComputeSmoothestFixedBoundary()` — computes smoothest field aligned to the boundary -* `Mesh::SmoothestCurvatureAlignment()` — computes curvature-aligned field - -An example of how these routines should be called is found in `Viewer::mSmoothField()`. - - -## License - -This code is covered by a standard MIT license. - -``` -Copyright (c) 2013 Keenan Crane and Peter Schröder. - -Permission is hereby granted, free of charge, to any person obtaining a copy -of this software and associated documentation files (the "Software"), to deal -in the Software without restriction, including without limitation the rights -to use, copy, modify, merge, publish, distribute, sublicense, and/or sell -copies of the Software, and to permit persons to whom the Software is -furnished to do so, subject to the following conditions: - -The above copyright notice and this permission notice shall be included in all -copies or substantial portions of the Software. - -THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR -IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, -FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE -AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER -LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, -OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE -SOFTWARE. -``` - +# fieldgen v0.02 +-------------------------------------------- +**authors:** Keenan Crane, Peter Schröder + +![fieldgen](icon.svg) + +## About + +Given a triangulated surface, `fieldgen` computes the smoothest unit vector +field, or more generally, the smoothest unit _n_-vector field (e.g., _n_=1,2,4 +for unit vector, line, and cross fields, respectively). Singularities, +such as sources and sinks, are automatically placed in locations that allow +the field to achieve optimal smoothness. Such fields can then be used for a +wide variety of computer graphics and geometry processing tasks such as +surface parameterization, quad meshing, architectural geometry, anisotropic +shading, and texture synthesis. + +The code is a reference implementation of the paper + + >Felix Knöppel, Keenan Crane, Ulrich Pinkall, Peter Schröder + ["Globally Optimal Direction Fields"](http://www.cs.cmu.edu/~kmcrane/Projects/GloballyOptimalDirectionFields/paper.pdf) + SIGGRAPH 2013 + +This version carefully implements the finite element connection Laplacian as +described in the paper, using Chebyshev expansions to ensure good numerics. It +also supports some sophisticated features, such as holomorphic/anti-holomorphic +energy, alignment with principal curvature directions, and alignment with the +boundary. + +The code itself is somewhat messy research code with a very basic user +interface. Several other implementations are available, which use a less +sophisticated discretization of the connection Laplacian and do not support +some of the features mentioned above. However, they may be useful for certain +tasks, or in different build settings. In particular: + + - The `stripes` code provides a simple version of the algorithm, + as well as editing of singularities and generation of a field- + aligned parameterization: + + + + - There is also an implementation in _Directional_, which is built on + top of [Eigen](http://eigen.tuxfamily.org), and is hence header-only: + + + +Note that `fieldgen` and stripes are both built on top of the CHOLMOD sparse +direct solver, whereas Directional is built on top of Eigen. The latter can be +easier to install (since it is header only) but can be significantly slower, +since the Eigen Cholseky solver is much less mature than CHOLMOD. See also +below for easy install instructions for CHOLMOD. + +### Version History + +* 0.01 (Sep 1, 2013) — Initial release +* 0.02 (Jun 4, 2019) — Added boundary alignment, OBJ output, command line support + +## Installation + +fieldgen depends on SuiteSparse, which you can obtain from + + + +On most platforms, SuiteSparse can be installed via standard +package managers. On Mac OS X / HomeBrew, it can be installed via + + ```brew install homebrew/science/suite-sparse``` + +To build, you will have to edit the Makefile and set the include/lib +paths accordingly. Some examples are provided. Once these paths +have been set, simply type + + ```make``` + +build on WSL using the following: + ``` CMAKE_OPTIONS="-DBLAS_LIBRARIES=/usr/lib/x86_64-linux-gnu/libblas.so -DLAPACK_LIBRARIES=/usr/lib/x86_64-linux-gnu/liblapack.so -DUMFPACK_LIBRARIES=/usr/local/lib/libumfpack.so" make -j8 all -lGL -lGLU -lglut -lspqr -lcholmod -lmetis -lcolamd -lccolamd -lcamd -lamd -lm -llapack -lblas -lgfortran -lumfpack ``` + +which (barring any compilation/linker errors) should build an executable +called `fieldviz`. + + +## Running + +Once built, you should be able to run the executable by typing + +```./fieldviz data/bunny.obj``` + +(or specifying a path to any mesh file in OBJ format). You should +see a window showing the mesh and some information in the upper-left +corner. Hitting `space` will generate the smoothest field on the surface: + +![interface](interface.jpg) + +Other commands can be accessed via the keyboard: + +| key | action +| -------- | ----------------------------------------------------------------------------- +| `space` | update field +| `k/K` | increase/decrease the symmetry degree of the field (1=vector, 2=line, 4=cross) +| `s/S` | adjust the smoothness energy; -1=holomorphic, 0=Dirichlet, 1=antiholomorphic +| `t/T` | adjust trade off between smoothness and curvature alignment (if enabled) +| `c` | toggle curvature alignment +| `b` | toggle boundary alignment +| `m` | draw smooth shaded +| `f` | draw faceted (with wireframe) +| `*` | show/hide singularities +| `w` | write solution to `out.obj` +| `` ` `` | take a screenshot +| `escape` | exit + +**Note:** curvature alignment works only when the symmetry degree of the field is 2 or 4. + +### Input + +`fieldgen` assumes that the input is an [oriented](https://en.wikipedia.org/wiki/Orientability) and [manifold](http://15462.courses.cs.cmu.edu/fall2018/lecture/meshes/slide_013) triangle mesh, with or without boundary. Meshes should be specified in the [Wavefront OBJ file format](https://en.wikipedia.org/wiki/Wavefront_.obj_file). Note that the resolution of the input mesh will affect the resolution of the output field, since one vector is computed per vertex. Also note that extremely poor-quality meshes (e.g., with near-zero angles or triangle areas) might cause problems for field generation, though generally the algorithm is very robust (see in particular Figure 16 of the paper by Knöppel et al, listed above). + +### Output + +Hitting the `w` key will write the current field (and the mesh) to the file +`out.obj` in the working directory. Files are written as triangle meshes in +[Wavefront OBJ format](https://en.wikipedia.org/wiki/Wavefront_.obj_file). +They also include a tangent vector field, encoded in comment lines at the end +of the file. The degree of the field is specified by a line of the form + +```degree n``` + +where (for instance) _n_=1 is a unit vector field, _n_=2 is a +line field, and _n_=4 is a cross field. Individual vectors +are then specified by lines of the form + +```field i x y z``` + +where `i` is the index of the vertex, and `x` `y` `z` are the three components of the tangent vector. In the case where these vectors encode an _n_-direction field this vector is just one of the _n_ possible vectors. The other vectors can be obtained by rotating this one around the corresponding vertex normal, which is given in the usual `vn` line. Singularities in the field, which are associated with faces, are indicated by lines + + singularity `i` `s` + +where `i` is the index of the triangle, and `s` is the degree of the singularity. All indices are 1-based rather than 0-based. + +## Command Line + +A command line version of `fieldgen` is also available, which can be useful when running in batch mode, over a network, or in other situations where OpenGL visualization is not available or appropriate (e.g., bundling `fieldgen` into a plugin). + +**To build:** follow the same instructions above, but type + +```make commandline``` + +instead of just `make`. Doing so should produce an executable called `fieldgen` (rather than `fieldviz`). + +**To run:** the only mandatory arguments are paths to the input and output meshes (in OBJ format); by default, `fieldgen` will then compute the smoothest unit vector field. To get a full set of options, type + +```./fieldgen``` + +which should print the usage string + +```usage: ./fieldgen OBJ_INPUT_PATH OBJ_OUTPUT_PATH``` +``` [--degree=n] [--alignToCurvature] [--alignToBoundary] [--s=S] [--t=T]``` + +The command line options are as follows: + +* `degree` — field degree (1=unit vector field, 2=line field, 4=cross field, etc.) +* `alignToCurvature` — align field to principal curvature directions +* `alignToBoundary` — align field to the domain boundary +* `s/S` — controls the smoothness energy; -1=holomorphic, 0=Dirichlet, 1=antiholomorphic +* `t/T` — controls the trade off between smoothness and curvature alignment (if enabled) + +Note that enabling boundary alignment will override curvature alignment. + +## Source + +Much of the source code in this archive is just there to support basic stuff +like loading a mesh, solving a linear system, etc. The key routines are all in + +* `Mesh.cpp` +* `KVecDir.cpp` +* `SectionIntegrals.cpp` + +The main routines are + + +* `Mesh::InitKVecDirData()` — setup +* `Mesh::ComputeSmoothest()` — computes smoothest field +* `Mesh::ComputeSmoothestFixedBoundary()` — computes smoothest field aligned to the boundary +* `Mesh::SmoothestCurvatureAlignment()` — computes curvature-aligned field + +An example of how these routines should be called is found in `Viewer::mSmoothField()`. + + +## License + +This code is covered by a standard MIT license. + +``` +Copyright (c) 2013 Keenan Crane and Peter Schröder. + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. +``` + diff --git a/data/all_solution.eobj b/data/all_solution.eobj new file mode 100644 index 0000000..92d3ee1 --- /dev/null +++ b/data/all_solution.eobj @@ -0,0 +1,71442 @@ +v 0.309469 -0.921392 0.450065 +v -0.246077 0.582705 0.060732 +v 0.324808 -0.919437 0.426008 +v 0.326318 -0.962311 0.486252 +v -0.281894 -0.982499 0.0586274 +v 0.31358 -0.96947 0.51198 +v 0.282044 -0.963641 0.507701 +v -0.485513 -0.661363 0.305646 +v 0.230108 -0.949739 0.50976 +v -0.215725 -0.920692 -0.0891193 +v -0.165062 -0.917829 -0.173768 +v 0.545667 -0.831882 -0.141279 +v 0.190673 -0.970283 0.571536 +v 0.0641173 -0.671515 0.701181 +v 0.129295 -0.963049 0.557488 +v -0.146155 -0.961498 -0.234851 +v -0.118244 -0.984391 -0.290257 +v 0.0947305 -0.937937 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The degree of the field is +# specified by a line of the form +# +# degree n +# +# where (for instance) n=1 is a unit vector field, n=2 is a +# line field, and n=4 is a cross field. Individual vectors +# are then specified by lines of the form +# +# field i x y z +# +# where i is the index of the vertex, and x y z are the three +# components of the tangent vector. In the case where these +# vectors encode an n-direction field this vector is just one +# of the n possible vectors. The other vectors can be obtained +# by rotating this one around the corresponding vertex normal, +# which is given in the usual vn line. Singularities in the +#field, which are associated with faces, are indicated by lines +# +# singularity i s +# +# where i is the index of the triangle, and s is the degree of +# the singularity. All indices are 1-based rather than 0-based. +# +# This field was generated using the fieldgen program: +# +# https://github.com/GeometryCollective/fieldgen +# + +v 0.309469 -0.921392 0.450065 +v -0.246077 0.582705 0.060732 +v 0.324808 -0.919437 0.426008 +v 0.326318 -0.962311 0.486252 +v -0.281894 -0.982499 0.0586274 +v 0.31358 -0.96947 0.51198 +v 0.282044 -0.963641 0.507701 +v -0.485513 -0.661363 0.305646 +v 0.230108 -0.949739 0.50976 +v -0.215725 -0.920692 -0.0891193 +v -0.165062 -0.917829 -0.173768 +v 0.545667 -0.831882 -0.141279 +v 0.190673 -0.970283 0.571536 +v 0.0641173 -0.671515 0.701181 +v 0.129295 -0.963049 0.557488 +v -0.146155 -0.961498 -0.234851 +v -0.118244 -0.984391 -0.290257 +v 0.0947305 -0.937937 0.53392 +v 0.376785 -0.973999 -0.185883 +v 0.859274 -0.829771 0.29683 +v -0.956401 0.390143 0.23455 +v 0.0377626 -0.969207 0.59784 +v -0.478905 -0.971526 0.557729 +v 0.0245651 -0.961123 0.580437 +v -0.0175506 -0.965747 0.600896 +v -0.456824 -0.971203 0.486834 +v -0.441376 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ALIASTABLE_H -#define ALIASTABLE_H - -#include -#include - -class AliasTable : public std::vector -{ - public: - // INTERFACE: - // void build( void ); - // int sample( void ) const; - - // IMPLEMENTATION: - void build( void ) - { - const std::vector& value( *this ); - std::stack rich, poor; - double mean = 0.; - - for( size_t i = 0; i < size(); i++ ) - { - mean += value[i]; - } - mean /= (double) size(); - - alias.resize( size() ); - percent.resize( size() ); - - for( size_t i = 0; i < size(); i++ ) - { - alias[i] = i; - percent[i] = 1e-8 + value[i] / mean; - if( percent[i] < 1. ) - { - poor.push( i ); - } - else - { - rich.push( i ); - } - } - - while( !poor.empty() ) - { - int p = poor.top(); poor.pop(); - int r = rich.top(); - - percent[r] -= ( 1. - percent[p] ); - alias[p] = r; - - if( percent[r] < 1. ) - { - rich.pop(); - poor.push( r ); - } - } - } - - int sample( void ) const - { - int i = rand() % size(); - - if( unitRand() < percent[i] ) - { - return i; - } - - return alias[i]; - } - - protected: - double unitRand( void ) const - { - const double rRandMax = 1. / (double) RAND_MAX; - - return (double) rand() * rRandMax; - } - - std::vector alias; - std::vector percent; -}; - -#endif +#ifndef ALIASTABLE_H +#define ALIASTABLE_H + +#include +#include + +class AliasTable : public std::vector +{ + public: + // INTERFACE: + // void build( void ); + // int sample( void ) const; + + // IMPLEMENTATION: + void build( void ) + { + const std::vector& value( *this ); + std::stack rich, poor; + double mean = 0.; + + for( size_t i = 0; i < size(); i++ ) + { + mean += value[i]; + } + mean /= (double) size(); + + alias.resize( size() ); + percent.resize( size() ); + + for( size_t i = 0; i < size(); i++ ) + { + alias[i] = i; + percent[i] = 1e-8 + value[i] / mean; + if( percent[i] < 1. ) + { + poor.push( i ); + } + else + { + rich.push( i ); + } + } + + while( !poor.empty() ) + { + int p = poor.top(); poor.pop(); + int r = rich.top(); + + percent[r] -= ( 1. - percent[p] ); + alias[p] = r; + + if( percent[r] < 1. ) + { + rich.pop(); + poor.push( r ); + } + } + } + + int sample( void ) const + { + int i = rand() % size(); + + if( unitRand() < percent[i] ) + { + return i; + } + + return alias[i]; + } + + protected: + double unitRand( void ) const + { + const double rRandMax = 1. / (double) RAND_MAX; + + return (double) rand() * rRandMax; + } + + std::vector alias; + std::vector percent; +}; + +#endif diff --git a/include/Camera.h b/include/Camera.h index 8ca662e..5b68efd 100644 --- a/include/Camera.h +++ b/include/Camera.h @@ -1,80 +1,80 @@ -// ----------------------------------------------------------------------------- -// libDDG -- Camera.h -// ----------------------------------------------------------------------------- -// -// Camera is used by Viewer to keep track of the view state; it also -// handles mouse input related to camera manipulation. -// - -#ifndef DDG_CAMERA_H -#define DDG_CAMERA_H - -#include "Quaternion.h" - -#ifdef __CYGWIN__ -#define GLUT_DISABLE_ATEXIT_HACK -#include -#include -#include -#include -#else -#include -#endif - -namespace DDG -{ - class Camera - { - public: - Camera( void ); - // constructor - - Quaternion clickToSphere( int x, int y ); - // projects a mous click onto the unit sphere - - void setView( void ) const; - // applies the camera transformation to the OpenGL modelview stack - - void mouse( int button, int state, int x, int y ); - // handles mouse clicks - - void motion( int x, int y ); - // handles mouse drags - - void idle( void ); - // handles camera momentum - - void zoomIn( void ); - // moves viewer toward object - - void zoomOut( void ); - // moves viewer away from object - - Quaternion currentRotation( void ) const; - // returns the rotation corresponding to the current mouse state - - Quaternion pClick; - // mouse coordinates of current click - - Quaternion pDrag; - // mouse coordinates of current drag - - Quaternion pLast; - // mouse coordinates of previous drag - - Quaternion rLast; - // previous camera rotation - - Quaternion momentum; - // camera momentum - - int tLast; - // time of previous drag - - double zoom, vZoom; - // zoom and zoom velocity - }; -} - -#endif - +// ----------------------------------------------------------------------------- +// libDDG -- Camera.h +// ----------------------------------------------------------------------------- +// +// Camera is used by Viewer to keep track of the view state; it also +// handles mouse input related to camera manipulation. +// + +#ifndef DDG_CAMERA_H +#define DDG_CAMERA_H + +#include "Quaternion.h" + +#ifdef __CYGWIN__ +#define GLUT_DISABLE_ATEXIT_HACK +#include +#include +#include +#include +#else +#include +#endif + +namespace DDG +{ + class Camera + { + public: + Camera( void ); + // constructor + + Quaternion clickToSphere( int x, int y ); + // projects a mous click onto the unit sphere + + void setView( void ) const; + // applies the camera transformation to the OpenGL modelview stack + + void mouse( int button, int state, int x, int y ); + // handles mouse clicks + + void motion( int x, int y ); + // handles mouse drags + + void idle( void ); + // handles camera momentum + + void zoomIn( void ); + // moves viewer toward object + + void zoomOut( void ); + // moves viewer away from object + + Quaternion currentRotation( void ) const; + // returns the rotation corresponding to the current mouse state + + Quaternion pClick; + // mouse coordinates of current click + + Quaternion pDrag; + // mouse coordinates of current drag + + Quaternion pLast; + // mouse coordinates of previous drag + + Quaternion rLast; + // previous camera rotation + + Quaternion momentum; + // camera momentum + + int tLast; + // time of previous drag + + double zoom, vZoom; + // zoom and zoom velocity + }; +} + +#endif + diff --git a/include/Complex.h b/include/Complex.h index 71c6487..f41b8ef 100644 --- a/include/Complex.h +++ b/include/Complex.h @@ -1,94 +1,94 @@ -#ifndef DDG_COMPLEX_H -#define DDG_COMPLEX_H - -#include - -namespace DDG -{ - class Complex - { - public: - Complex( double a=0., double b=0. ); - // constructs number a+bi - - void operator+=( const Complex& z ); - // add z - - void operator-=( const Complex& z ); - // subtract z - - void operator*=( const Complex& z ); - // Complex multiply by z - - void operator*=( double r ); - // scalar multiply by r - - void operator/=( double r ); - // scalar divide by r - - void operator/=( const Complex& z ); - // complex divide by r - - Complex operator-( void ) const; - // returns the additive inverse - - Complex conj( void ) const; - // returns Complex conjugate - - Complex inv( void ) const; - // returns inverse - - double arg( void ) const; - // returns argument - - double norm( void ) const; - // returns norm - - double norm2( void ) const; - // returns norm squared - - Complex unit( void ) const; - // returns complex number with unit norm and same modulus - - double re; - // real part - - double im; - // imaginary part - }; - - Complex operator+( const Complex& z1, const Complex& z2 ); - // binary addition - - Complex operator-( const Complex& z1, const Complex& z2 ); - // binary subtraction - - Complex operator*( const Complex& z1, const Complex& z2 ); - // binary Complex multiplication - - Complex operator*( const Complex& z, double r ); - // right scalar multiplication - - Complex operator*( double r, const Complex& z ); - // left scalar multiplication - - Complex operator/( const Complex& z, double r ); - // scalar division - - Complex operator/( const Complex& z1, const Complex& z2 ); - // complex division - - double dot( const Complex& z1, const Complex& z2 ); - // inner product - - double cross( const Complex& z1, const Complex& z2 ); - // cross product - - Complex exp( const Complex& z ); - // returns e^z - - std::ostream& operator<<( std::ostream& os, const Complex& o ); - // prints components -} - -#endif +#ifndef DDG_COMPLEX_H +#define DDG_COMPLEX_H + +#include + +namespace DDG +{ + class Complex + { + public: + Complex( double a=0., double b=0. ); + // constructs number a+bi + + void operator+=( const Complex& z ); + // add z + + void operator-=( const Complex& z ); + // subtract z + + void operator*=( const Complex& z ); + // Complex multiply by z + + void operator*=( double r ); + // scalar multiply by r + + void operator/=( double r ); + // scalar divide by r + + void operator/=( const Complex& z ); + // complex divide by r + + Complex operator-( void ) const; + // returns the additive inverse + + Complex conj( void ) const; + // returns Complex conjugate + + Complex inv( void ) const; + // returns inverse + + double arg( void ) const; + // returns argument + + double norm( void ) const; + // returns norm + + double norm2( void ) const; + // returns norm squared + + Complex unit( void ) const; + // returns complex number with unit norm and same modulus + + double re; + // real part + + double im; + // imaginary part + }; + + Complex operator+( const Complex& z1, const Complex& z2 ); + // binary addition + + Complex operator-( const Complex& z1, const Complex& z2 ); + // binary subtraction + + Complex operator*( const Complex& z1, const Complex& z2 ); + // binary Complex multiplication + + Complex operator*( const Complex& z, double r ); + // right scalar multiplication + + Complex operator*( double r, const Complex& z ); + // left scalar multiplication + + Complex operator/( const Complex& z, double r ); + // scalar division + + Complex operator/( const Complex& z1, const Complex& z2 ); + // complex division + + double dot( const Complex& z1, const Complex& z2 ); + // inner product + + double cross( const Complex& z1, const Complex& z2 ); + // cross product + + Complex exp( const Complex& z ); + // returns e^z + + std::ostream& operator<<( std::ostream& os, const Complex& o ); + // prints components +} + +#endif diff --git a/include/DenseMatrix.h b/include/DenseMatrix.h index 53e4de5..a897455 100644 --- a/include/DenseMatrix.h +++ b/include/DenseMatrix.h @@ -1,158 +1,159 @@ -// ----------------------------------------------------------------------------- -// libDDG -- DenseMatrix.h -// ----------------------------------------------------------------------------- -// -// DenseMatrix represents an m by n (real or complex) matrix where every -// entry -- including zero-valued entries -- is stored explicitly. This -// class is most commonly used to represent dense vectors in sparse linear -// systems (i.e., the right hand side and the solution vector). -// -// A real or complex matrix is allocated via -// -// DenseMatrix A( m, n ); -// DenseMatrix A( m, n, entryComplex ); -// -// Matrix elements are then accessed using parenthesis, e.g., -// -// A(i,j) = 1; -// A(i,j) += 2; -// a = A(i,j); -// -// etc. -// -// DenseMatrix is interoperable with the SuiteSparse numerical linear algebra -// library. In particular, dereferencing a DenseMatrix returns a cholmod_dense* -// which can be used by routines in SuiteSparse. For basic operations, however, -// you should not need to access this pointer explicitly -- see the solve() -// method in SparseMatrix.h. -// - -#ifndef DDG_DENSEMATRIX_H -#define DDG_DENSEMATRIX_H - -#include -#include "Types.h" - -#include - -namespace DDG -{ - template - class DenseMatrix - { - public: - DenseMatrix( int m = 0, int n = 0 ); - // initialize an mxn matrix - - DenseMatrix( const DenseMatrix& A ); - // copy constructor - - const DenseMatrix& operator=( const DenseMatrix& B ); - // copies B - - ~DenseMatrix( void ); - // destructor - - SparseMatrix sparse( void ); - // converts to a sparse matrix - - int nRows( void ) const; - // returns the number of rows - - int nColumns( void ) const; - // returns the number of columns - - int length( void ) const; - // returns the size of the largest dimension - - void zero( const T& val = 0. ); - // sets all elements to val - - double norm( void ) const; - // returns the maximum magnitude of any entry - - T& operator()( int row, int col ); - T operator()( int row, int col ) const; - // access the specified element of the matrix (uses 0-based indexing) - - T& operator()( int index ); - T operator()( int index ) const; - // access the specified element of a vector (uses 0-based indexing) - - DenseMatrix transpose( void ) const; - // returns the transpose of this matrix - - DenseMatrix operator*( const DenseMatrix& B ) const; - // returns product of this matrix with B - - void operator*=( const T& c ); - // multiplies this matrix by the scalar c - - void operator/=( const T& c ); - // divides this matrix by the scalar c - - DenseMatrix operator+( const DenseMatrix& B ) const; - // returns sum of this matrix with B - - void operator+=( const DenseMatrix& B ); - // adds B to this matrix - - DenseMatrix operator-( const DenseMatrix& B ) const; - // returns difference of this matrix with B - - void operator-=( const DenseMatrix& B ); - // subtracts B from this matrix - - DenseMatrix operator-( void ) const; - // returns additive inverse of this matrix - - cholmod_dense* to_cholmod( void ); - // returns pointer to copy of matrix in CHOLMOD format - - const DenseMatrix& operator=( cholmod_dense* B ); - // copies a cholmod_dense* into a DenseMatrix; - // takes responsibility for deallocating B - - void normalize( void ); - // divides real part by Frobenius norm of real part - - T sum( void ) const; - // returns the sum of all entries - - void removeMean( void ); - // removes the mean of the real part from the real part - - void randomize( void ); - // replaces entries with uniformly distributed random real numbers in the interval [-1,1] - - protected: - int m, n; - std::vector data; - cholmod_dense* cData; - }; - - template - DenseMatrix operator*( const DenseMatrix& A, const T& c ); - // right scalar multiplication - - template - DenseMatrix operator*( const T& c, const DenseMatrix& A ); - // left scalar multiplication - - template - DenseMatrix operator/( const DenseMatrix& A, const T& c ); - // scalar division - - template - double dot( const DenseMatrix& x, const DenseMatrix& y ); - // returns Euclidean inner product of x and y - - template - std::ostream& operator << (std::ostream& os, const DenseMatrix& o); - // prints entries -} - -#include "DenseMatrix.inl" - -#endif - +// ----------------------------------------------------------------------------- +// libDDG -- DenseMatrix.h +// ----------------------------------------------------------------------------- +// +// DenseMatrix represents an m by n (real or complex) matrix where every +// entry -- including zero-valued entries -- is stored explicitly. This +// class is most commonly used to represent dense vectors in sparse linear +// systems (i.e., the right hand side and the solution vector). +// +// A real or complex matrix is allocated via +// +// DenseMatrix A( m, n ); +// DenseMatrix A( m, n, entryComplex ); +// +// Matrix elements are then accessed using parenthesis, e.g., +// +// A(i,j) = 1; +// A(i,j) += 2; +// a = A(i,j); +// +// etc. +// +// DenseMatrix is interoperable with the SuiteSparse numerical linear algebra +// library. In particular, dereferencing a DenseMatrix returns a cholmod_dense* +// which can be used by routines in SuiteSparse. For basic operations, however, +// you should not need to access this pointer explicitly -- see the solve() +// method in SparseMatrix.h. +// + +#ifndef DDG_DENSEMATRIX_H +#define DDG_DENSEMATRIX_H + +#include +#include "Types.h" + +#include +#include + +namespace DDG +{ + template + class DenseMatrix + { + public: + DenseMatrix( int m = 0, int n = 0 ); + // initialize an mxn matrix + + DenseMatrix( const DenseMatrix& A ); + // copy constructor + + const DenseMatrix& operator=( const DenseMatrix& B ); + // copies B + + ~DenseMatrix( void ); + // destructor + + SparseMatrix sparse( void ); + // converts to a sparse matrix + + int nRows( void ) const; + // returns the number of rows + + int nColumns( void ) const; + // returns the number of columns + + int length( void ) const; + // returns the size of the largest dimension + + void zero( const T& val = 0. ); + // sets all elements to val + + double norm( void ) const; + // returns the maximum magnitude of any entry + + T& operator()( int row, int col ); + T operator()( int row, int col ) const; + // access the specified element of the matrix (uses 0-based indexing) + + T& operator()( int index ); + T operator()( int index ) const; + // access the specified element of a vector (uses 0-based indexing) + + DenseMatrix transpose( void ) const; + // returns the transpose of this matrix + + DenseMatrix operator*( const DenseMatrix& B ) const; + // returns product of this matrix with B + + void operator*=( const T& c ); + // multiplies this matrix by the scalar c + + void operator/=( const T& c ); + // divides this matrix by the scalar c + + DenseMatrix operator+( const DenseMatrix& B ) const; + // returns sum of this matrix with B + + void operator+=( const DenseMatrix& B ); + // adds B to this matrix + + DenseMatrix operator-( const DenseMatrix& B ) const; + // returns difference of this matrix with B + + void operator-=( const DenseMatrix& B ); + // subtracts B from this matrix + + DenseMatrix operator-( void ) const; + // returns additive inverse of this matrix + + cholmod_dense* to_cholmod( void ); + // returns pointer to copy of matrix in CHOLMOD format + + const DenseMatrix& operator=( cholmod_dense* B ); + // copies a cholmod_dense* into a DenseMatrix; + // takes responsibility for deallocating B + + void normalize( void ); + // divides real part by Frobenius norm of real part + + T sum( void ) const; + // returns the sum of all entries + + void removeMean( void ); + // removes the mean of the real part from the real part + + void randomize( void ); + // replaces entries with uniformly distributed random real numbers in the interval [-1,1] + + protected: + int m, n; + std::vector data; + cholmod_dense* cData; + }; + + template + DenseMatrix operator*( const DenseMatrix& A, const T& c ); + // right scalar multiplication + + template + DenseMatrix operator*( const T& c, const DenseMatrix& A ); + // left scalar multiplication + + template + DenseMatrix operator/( const DenseMatrix& A, const T& c ); + // scalar division + + template + double dot( const DenseMatrix& x, const DenseMatrix& y ); + // returns Euclidean inner product of x and y + + template + std::ostream& operator << (std::ostream& os, const DenseMatrix& o); + // prints entries +} + +#include "DenseMatrix.inl" + +#endif + diff --git a/include/Edge.h b/include/Edge.h index b42eea5..5abef0e 100644 --- a/include/Edge.h +++ b/include/Edge.h @@ -1,47 +1,47 @@ -// -*- Mode: c++ -*- -// ----------------------------------------------------------------------------- -// libDDG -- Edge.h -// ----------------------------------------------------------------------------- -// -// Edge stores attributes associated with a mesh edge. The iterator he points -// to one of its two associated halfedges. (See the documentation for a more -// in-depth discussion of the halfedge data structure.) -// - -#ifndef DDG_EDGE_H -#define DDG_EDGE_H - -#include "Types.h" -#include "Quaternion.h" -#include "Complex.h" - -namespace DDG -{ - class Edge - { - public: - // points to one of the two halfedges associated with this edge - HalfEdgeIter he; - - // distinguished direction at this edge - // PS: only needed for old code - const HalfEdgeIter X( void ) const { return he; } - const Vector Xvector( void ) const; - - // 1/2 sum of incident triangle cotans - const double cot( void ) const; - - // transport along edge with orientation he - double r; - // additional \omega rotation form \tilde{\nabla} = \nabla - J\omega - double w; // REMOVE w - // mass matrix coefficient - Complex m; - // energy matrix coefficient - Complex Es; - // for Hopf alignment with orientation of he - Complex q; - }; -} - -#endif +// -*- Mode: c++ -*- +// ----------------------------------------------------------------------------- +// libDDG -- Edge.h +// ----------------------------------------------------------------------------- +// +// Edge stores attributes associated with a mesh edge. The iterator he points +// to one of its two associated halfedges. (See the documentation for a more +// in-depth discussion of the halfedge data structure.) +// + +#ifndef DDG_EDGE_H +#define DDG_EDGE_H + +#include "Types.h" +#include "Quaternion.h" +#include "Complex.h" + +namespace DDG +{ + class Edge + { + public: + // points to one of the two halfedges associated with this edge + HalfEdgeIter he; + + // distinguished direction at this edge + // PS: only needed for old code + const HalfEdgeIter X( void ) const { return he; } + const Vector Xvector( void ) const; + + // 1/2 sum of incident triangle cotans + const double cot( void ) const; + + // transport along edge with orientation he + double r; + // additional \omega rotation form \tilde{\nabla} = \nabla - J\omega + double w; // REMOVE w + // mass matrix coefficient + Complex m; + // energy matrix coefficient + Complex Es; + // for Hopf alignment with orientation of he + Complex q; + }; +} + +#endif diff --git a/include/Face.h b/include/Face.h index b006abe..0fa0adf 100644 --- a/include/Face.h +++ b/include/Face.h @@ -1,96 +1,99 @@ -// -*- Mode: c++ -*- -// ----------------------------------------------------------------------------- -// libDDG -- Face.h -// ----------------------------------------------------------------------------- -// -// Face stores attributes associated with a mesh edge. The iterator he points -// to one of its associated halfedges. (See the documentation for a more -// in-depth discussion of the halfedge data structure.) -// - -#ifndef DDG_FACE_H -#define DDG_FACE_H - -#include "Types.h" -#include "Complex.h" -#include "Vector.h" - -namespace DDG -{ - class Face - { - public: - HalfEdgeIter he; - // points to one of the halfedges associated with this face - HalfEdgeCIter parent; - // needed for generator construction (should not be here...) - - // PS: For a face the predicate is a function and called isBoundary - // PS: for halfedges it is a member and called onBoundary - // PS: I think making this consistent would be desirable - bool isBoundary( void ) const; - // returns true if this face corresponds to a - // boundary loop; false otherwise - - // distinguished direction - const HalfEdgeIter X( void ) const { return he; } - const Vector Xvector( void ) const; - - // which is v? 0,1,2? - unsigned int i( const VertexCIter v ) const; - - // field - Complex u; - - // area of triangle - double A; - - // corner angles - double alpha[3]; - - // index of this triangle - int sing; - - Vector normal; - void updateNormal( void ); - // returns the unit normal associated with this face; normal - // orientation is determined by the circulation order of halfedges - - Vector Anormal; - void updateANormal( void ); - // returns the area weighted normal - - double area( void ) const; - // returns the triangle area - - Vector barycenter( void ) const; - // returns the mean of vertex coordinates - - // as the name says - void InitAreaAnglesAngleSums( void ); - - // geometric curvature - double K( void ) const; - - // PS: Wishlist - // PS: unsigned int valence( void ) const; (or degree() if you wish) - // PS: an assertion if things are not triangle in all the places that assume it - - // visualization --------------------------------------------------- - Vector sampleUniform( void ) const; - // samples a point uniformly at random, expressed in barycentric - // coordinates relative to he->vertex, he->next->vertex, and - // he->next->next->vertex, respectively. - - Vector sampleField( const Vector& p, double n ) const; - // samples the interpolated field u at the point p expressed in - // barycentric coordinates relative to he->vertex, he->next->vertex, and - // he->next->next->vertex, respectively. - // must specify the field degree n - - // converts from barycentric coordinates to (x,y,z) coords in R^3 - Vector toWorldCoordinates( const Vector& barycentric ) const; - }; -} - -#endif +// -*- Mode: c++ -*- +// ----------------------------------------------------------------------------- +// libDDG -- Face.h +// ----------------------------------------------------------------------------- +// +// Face stores attributes associated with a mesh edge. The iterator he points +// to one of its associated halfedges. (See the documentation for a more +// in-depth discussion of the halfedge data structure.) +// + +#ifndef DDG_FACE_H +#define DDG_FACE_H + +#include "Types.h" +#include "Complex.h" +#include "Vector.h" + +namespace DDG +{ + class Face + { + public: + HalfEdgeIter he; + // points to one of the halfedges associated with this face + HalfEdgeCIter parent; + // needed for generator construction (should not be here...) + + // PS: For a face the predicate is a function and called isBoundary + // PS: for halfedges it is a member and called onBoundary + // PS: I think making this consistent would be desirable + bool isBoundary( void ) const; + // returns true if this face corresponds to a + // boundary loop; false otherwise + + // distinguished direction + const HalfEdgeIter X( void ) const { return he; } + const Vector Xvector( void ) const; + + // which is v? 0,1,2? + unsigned int i( const VertexCIter v ) const; + + // field + Complex u; + + // area of triangle + double A; + + // corner angles + double alpha[3]; + + // index of this triangle + int sing; + + // vector field alignment in face + Vector alignment; + + Vector normal; + void updateNormal( void ); + // returns the unit normal associated with this face; normal + // orientation is determined by the circulation order of halfedges + + Vector Anormal; + void updateANormal( void ); + // returns the area weighted normal + + double area( void ) const; + // returns the triangle area + + Vector barycenter( void ) const; + // returns the mean of vertex coordinates + + // as the name says + void InitAreaAnglesAngleSums( void ); + + // geometric curvature + double K( void ) const; + + // PS: Wishlist + // PS: unsigned int valence( void ) const; (or degree() if you wish) + // PS: an assertion if things are not triangle in all the places that assume it + + // visualization --------------------------------------------------- + Vector sampleUniform( void ) const; + // samples a point uniformly at random, expressed in barycentric + // coordinates relative to he->vertex, he->next->vertex, and + // he->next->next->vertex, respectively. + + Vector sampleField( const Vector& p, double n ) const; + // samples the interpolated field u at the point p expressed in + // barycentric coordinates relative to he->vertex, he->next->vertex, and + // he->next->next->vertex, respectively. + // must specify the field degree n + + // converts from barycentric coordinates to (x,y,z) coords in R^3 + Vector toWorldCoordinates( const Vector& barycentric ) const; + }; +} + +#endif diff --git a/include/HalfEdge.h b/include/HalfEdge.h index 0f96c34..259181d 100644 --- a/include/HalfEdge.h +++ b/include/HalfEdge.h @@ -1,86 +1,86 @@ -// -*- Mode: c++ -*- -// ----------------------------------------------------------------------------- -// libDDG -- HalfEdge.h -// ----------------------------------------------------------------------------- -// -// HalfEdge is used to define mesh connectivity. (See the documentation for a -// more in-depth discussion of the halfedge data structure.) -// - -#ifndef DDG_HALFEDGE_H -#define DDG_HALFEDGE_H - -#include "Vector.h" -#include "Types.h" -#include "Complex.h" -#include "Quaternion.h" - -namespace DDG -{ - class HalfEdge - { - public: - HalfEdgeIter next; - // points to the next halfedge around the current face - - HalfEdgeIter flip; - // points to the other halfedge associated with this edge - - VertexIter vertex; - // points to the vertex at the "tail" of this halfedge - - EdgeIter edge; - // points to the edge associated with this halfedge - - FaceIter face; - // points to the face containing this halfedge - - bool onBoundary; - // true if this halfedge is contained in a boundary - // loop; false otherwise - - Vector texcoord; - // texture coordinates associated with the triangle corner at the - // "tail" of this halfedge - - // retrieves transport angle along this HalfEdge from parent - // Edge depending on orientation - double r( void ) const; - - // if we work with a changed connection \tilde{\nabla} = \nabla - Jw - // we find the rotation form here - double w( void ) const; // REMOVE w - - // sometimes we need to know the orientation of this halfedge with - // respect to its parent edge - int sign( void ) const; - - // retrieves mass matrix coefficient along this HalfEdge from - // parent Edge depending on orientation - Complex m( void ) const; - - // retrieves Energy matrix coefficient along this HalfEdge from - // parent Edge depending on orientation - Complex Es( void ) const; - - // accumulator function for mass matrix coefficient along this - // HalfEdge updating parent Edge depending on orientation - void mAcc( const Complex& m ); - - // accumulator function for Energy matrix coefficient along this - // HalfEdge updating parent Edge depending on orientation - void EsAcc( const Complex& Es ); - - // embedded geometry of this edge - Vector geom( void ) const; - - // good old fashioned cotan of angle across from this halfedge - const double cot( void ) const; - - // angle of triangle corner at the "tail" of this halfedge - const double cornerAngle( void ) const; - }; -} - -#endif - +// -*- Mode: c++ -*- +// ----------------------------------------------------------------------------- +// libDDG -- HalfEdge.h +// ----------------------------------------------------------------------------- +// +// HalfEdge is used to define mesh connectivity. (See the documentation for a +// more in-depth discussion of the halfedge data structure.) +// + +#ifndef DDG_HALFEDGE_H +#define DDG_HALFEDGE_H + +#include "Vector.h" +#include "Types.h" +#include "Complex.h" +#include "Quaternion.h" + +namespace DDG +{ + class HalfEdge + { + public: + HalfEdgeIter next; + // points to the next halfedge around the current face + + HalfEdgeIter flip; + // points to the other halfedge associated with this edge + + VertexIter vertex; + // points to the vertex at the "tail" of this halfedge + + EdgeIter edge; + // points to the edge associated with this halfedge + + FaceIter face; + // points to the face containing this halfedge + + bool onBoundary; + // true if this halfedge is contained in a boundary + // loop; false otherwise + + Vector texcoord; + // texture coordinates associated with the triangle corner at the + // "tail" of this halfedge + + // retrieves transport angle along this HalfEdge from parent + // Edge depending on orientation + double r( void ) const; + + // if we work with a changed connection \tilde{\nabla} = \nabla - Jw + // we find the rotation form here + double w( void ) const; // REMOVE w + + // sometimes we need to know the orientation of this halfedge with + // respect to its parent edge + int sign( void ) const; + + // retrieves mass matrix coefficient along this HalfEdge from + // parent Edge depending on orientation + Complex m( void ) const; + + // retrieves Energy matrix coefficient along this HalfEdge from + // parent Edge depending on orientation + Complex Es( void ) const; + + // accumulator function for mass matrix coefficient along this + // HalfEdge updating parent Edge depending on orientation + void mAcc( const Complex& m ); + + // accumulator function for Energy matrix coefficient along this + // HalfEdge updating parent Edge depending on orientation + void EsAcc( const Complex& Es ); + + // embedded geometry of this edge + Vector geom( void ) const; + + // good old fashioned cotan of angle across from this halfedge + const double cot( void ) const; + + // angle of triangle corner at the "tail" of this halfedge + const double cornerAngle( void ) const; + }; +} + +#endif + diff --git a/include/Image.h b/include/Image.h index 542c748..a5bbf29 100644 --- a/include/Image.h +++ b/include/Image.h @@ -1,58 +1,58 @@ -// ----------------------------------------------------------------------------- -// libDDG -- Image.h -// ----------------------------------------------------------------------------- -// -// Image represents a color bitmap image. A simple example might look like -// -// Image im; -// im.read( "input.tga" ); -// // modify image data via im(x,y) = ...; -// im.write( "output.tga" ); -// - -#ifndef DDG_IMAGE_H -#define DDG_IMAGE_H - -#include -#include - -namespace DDG -{ - class Image - { - public: - Image( int width = 0, int height = 0 ); - // constructs image with specified width and height - - float& operator()( int x, int y ); - const float& operator()( int x, int y ) const; - // accesses pixel (x,y) - - float sample( float x, float y ) const; - // samples image at (x,y) using bilinear filtering - - int width( void ) const; - int height( void ) const; - // returns image dimensions - - void read( const char* filename ); - // loads an image file in Truevision TGA format - // (must be RGB image with 24 or 32 bits per pixel) - - void write( const char* filename ) const; - // writes an image file in Truevision TGA format - // (RGB image with 24 bits per pixel) - - protected: - void clamp( int& x, int& y ) const; - // clamps coordinates to range [0,w-1] x [0,h-1] - - int w, h; - // width and height - - std::vector pixels; - // interleaved RGBA pixel data in range [0-1] - }; -} - -#endif +// ----------------------------------------------------------------------------- +// libDDG -- Image.h +// ----------------------------------------------------------------------------- +// +// Image represents a color bitmap image. A simple example might look like +// +// Image im; +// im.read( "input.tga" ); +// // modify image data via im(x,y) = ...; +// im.write( "output.tga" ); +// + +#ifndef DDG_IMAGE_H +#define DDG_IMAGE_H + +#include +#include + +namespace DDG +{ + class Image + { + public: + Image( int width = 0, int height = 0 ); + // constructs image with specified width and height + + float& operator()( int x, int y ); + const float& operator()( int x, int y ) const; + // accesses pixel (x,y) + + float sample( float x, float y ) const; + // samples image at (x,y) using bilinear filtering + + int width( void ) const; + int height( void ) const; + // returns image dimensions + + void read( const char* filename ); + // loads an image file in Truevision TGA format + // (must be RGB image with 24 or 32 bits per pixel) + + void write( const char* filename ) const; + // writes an image file in Truevision TGA format + // (RGB image with 24 bits per pixel) + + protected: + void clamp( int& x, int& y ) const; + // clamps coordinates to range [0,w-1] x [0,h-1] + + int w, h; + // width and height + + std::vector pixels; + // interleaved RGBA pixel data in range [0-1] + }; +} + +#endif diff --git a/include/LinearContext.h b/include/LinearContext.h index 0d52d9d..792ac70 100644 --- a/include/LinearContext.h +++ b/include/LinearContext.h @@ -1,37 +1,37 @@ -// ----------------------------------------------------------------------------- -// libDDG -- LinearContext.h -// ----------------------------------------------------------------------------- -// -// LinearContext is the global solver context needed to interface with the -// SuiteSparse library. It is essentially a wrapper around cholmod_common. A -// single static instance of LinearContext is declared in LinearContext.cpp and -// is shared by all instances of DenseMatrix, SparseMatrix, and LinearSystem. -// In other words, you shouldn't have to instantiate LinearContext yourself -// unless you're doing something really fancy! -// - -#ifndef DDG_LINEARSOLVERCONTEXT -#define DDG_LINEARSOLVERCONTEXT - -#include - -namespace DDG -{ - class LinearContext - { - public: - LinearContext( void ); - // constructor - - ~LinearContext( void ); - // destructor - - operator cholmod_common*( void ); - // allows LinearContext to be treated as a cholmod_common* - - protected: - cholmod_common context; - }; -} - -#endif +// ----------------------------------------------------------------------------- +// libDDG -- LinearContext.h +// ----------------------------------------------------------------------------- +// +// LinearContext is the global solver context needed to interface with the +// SuiteSparse library. It is essentially a wrapper around cholmod_common. A +// single static instance of LinearContext is declared in LinearContext.cpp and +// is shared by all instances of DenseMatrix, SparseMatrix, and LinearSystem. +// In other words, you shouldn't have to instantiate LinearContext yourself +// unless you're doing something really fancy! +// + +#ifndef DDG_LINEARSOLVERCONTEXT +#define DDG_LINEARSOLVERCONTEXT + +#include + +namespace DDG +{ + class LinearContext + { + public: + LinearContext( void ); + // constructor + + ~LinearContext( void ); + // destructor + + operator cholmod_common*( void ); + // allows LinearContext to be treated as a cholmod_common* + + protected: + cholmod_common context; + }; +} + +#endif diff --git a/include/Mesh.h b/include/Mesh.h index 75dca74..a8fea65 100755 --- a/include/Mesh.h +++ b/include/Mesh.h @@ -100,6 +100,11 @@ namespace DDG // solver function when using alignment energy double SmoothestCurvatureAlignment( const unsigned int n, const double s, const double lambda, const bool dir ); + double SmoothestGivenVectorAlignment( const unsigned int n, const double s, + const double lambda, const double alignmentMagnitude, const bool dir ); + void ComputeInputVectorFields( void ); + // setup q for givenVectorAlignment + void setupqForGivenVectorAlignment( double alignmentMagnitude ); // computes energy and mass matrices into the mesh to then be // loaded later into the global matrix; gets called by diff --git a/include/MeshIO.h b/include/MeshIO.h index ab415d5..ef26fef 100755 --- a/include/MeshIO.h +++ b/include/MeshIO.h @@ -43,6 +43,8 @@ namespace DDG static void readTexCoord( std::stringstream& ss, MeshData& data ); static void readNormal ( std::stringstream& ss, MeshData& data ); static void readFace ( std::stringstream& ss, MeshData& data ); + static void readAlignment( std::stringstream& ss, MeshData& data ); + static void readFaceAlignment( std::stringstream& ss, MeshData& data ); static Index parseFaceIndex( const std::string& token ); static void preallocateMeshElements( const MeshData& data, Mesh& mesh ); static void checkIsolatedVertices( const Mesh& Mesh ); @@ -81,6 +83,7 @@ namespace DDG std::vector positions; std::vector texcoords; std::vector normals; + std::vector alignments; std::vector< std::vector< Index > > indices; }; } diff --git a/include/Quaternion.h b/include/Quaternion.h index 2c1fa03..ce9a299 100644 --- a/include/Quaternion.h +++ b/include/Quaternion.h @@ -1,172 +1,172 @@ -// ----------------------------------------------------------------------------- -// libDDG -- Quaternion.h -// ----------------------------------------------------------------------------- -// -// Quaternion represents an element of the quaternions, along with all the usual -// vectors space operations (addition, multiplication by scalars, etc.). The -// Hamilton product is expressed using the * operator: -// -// Quaternion p, q, r; -// r = q * p; -// -// and conjugation is expressed using the method Quaternion::conj(): -// -// Quaternion q; -// double normQSquared = -q.conj()*q; -// -// Individual components can be accessed in several ways: the real and imaginary -// parts can be accessed using the methods Quaternion::re() and Quaternion::im(): -// -// Quaternion q; -// double a = q.re(); -// Vector b = q.im(); -// -// or by index: -// -// Quaternion q; -// double a = q[0]; -// double bi = q[1]; -// double bj = q[2]; -// double bk = q[3]; -// - -#ifndef DDG_QUATERNION_H -#define DDG_QUATERNION_H - -#include "Vector.h" -#include - -namespace DDG -{ - class Quaternion - { - public: - Quaternion( void ); - // initializes all components to zero - - Quaternion( const Quaternion& q ); - // initializes from existing quaternion - - Quaternion( double s, double vi, double vj, double vk ); - // initializes with specified real (s) and imaginary (v) components - - Quaternion( double s, const Vector& v ); - // initializes with specified real (s) and imaginary (v) components - - Quaternion( double s ); - // initializes purely real quaternion with specified real (s) component - - Quaternion( const Complex& z ); - // yields z.re + i*z.im as a quaternion (j and k parts are therefore zero) - - Quaternion( const Vector& v ); - // initializes purely imaginary quaternion with specified imaginary (v) component - - Quaternion( const Vector& e1, const Vector& e2, const Vector& e3 ); - // gives the quaternion which rotates the standard frame - // (i,j,k) into the given frame orthonormal frame (e1,e2,e3) - // (the caller is responsible for making sure the frame is in - // fact orthonormal) assuming(!!!) \tilde{v} = q v \bar{q} - // type rotation - - const Quaternion& operator=( double s ); - // assigns a purely real quaternion with real value s - - const Quaternion& operator=( const Vector& v ); - // assigns a purely real quaternion with imaginary value v - - double& operator[]( int index ); - // returns reference to the specified component (0-based indexing: r, i, j, k) - - const double& operator[]( int index ) const; - // returns const reference to the specified component (0-based indexing: r, i, j, k) - - void toMatrix( double Q[4][4] ) const; - // builds 4x4 matrix Q representing (left) quaternion multiplication - - double& re( void ); - // returns reference to double part - - const double& re( void ) const; - // returns const reference to double part - - Vector& im( void ); - // returns reference to imaginary part - - const Vector& im( void ) const; - // returns const reference to imaginary part - - Quaternion operator+( const Quaternion& q ) const; - // addition - - Quaternion operator-( const Quaternion& q ) const; - // subtraction - - Quaternion operator-( void ) const; - // negation - - Quaternion operator*( double c ) const; - // right scalar multiplication - - Quaternion operator/( double c ) const; - // scalar division - - void operator+=( const Quaternion& q ); - // addition / assignment - - void operator+=( double c ); - // addition / assignment of pure real - - void operator-=( const Quaternion& q ); - // subtraction / assignment - - void operator-=( double c ); - // subtraction / assignment of pure real - - void operator*=( double c ); - // scalar multiplication / assignment - - void operator/=( double c ); - // scalar division / assignment - - Quaternion operator*( const Quaternion& q ) const; - // Hamilton product - - void operator*=( const Quaternion& q ); - // Hamilton product / assignment - - Quaternion conj( void ) const; - // conjugation - - Quaternion inv( void ) const; - // inverse - - double norm( void ) const; - // returns Euclidean length - - double norm2( void ) const; - // returns Euclidean length squared - - Quaternion unit( void ) const; - // returns unit quaternion - - void normalize( void ); - // divides by Euclidean length - - protected: - double s; - // scalar (double) part - - Vector v; - // vector (imaginary) part - }; - - Quaternion operator*( double c, const Quaternion& q ); - // left scalar multiplication - - std::ostream& operator<<( std::ostream& os, const Quaternion& q ); - // prints components -} - -#endif - +// ----------------------------------------------------------------------------- +// libDDG -- Quaternion.h +// ----------------------------------------------------------------------------- +// +// Quaternion represents an element of the quaternions, along with all the usual +// vectors space operations (addition, multiplication by scalars, etc.). The +// Hamilton product is expressed using the * operator: +// +// Quaternion p, q, r; +// r = q * p; +// +// and conjugation is expressed using the method Quaternion::conj(): +// +// Quaternion q; +// double normQSquared = -q.conj()*q; +// +// Individual components can be accessed in several ways: the real and imaginary +// parts can be accessed using the methods Quaternion::re() and Quaternion::im(): +// +// Quaternion q; +// double a = q.re(); +// Vector b = q.im(); +// +// or by index: +// +// Quaternion q; +// double a = q[0]; +// double bi = q[1]; +// double bj = q[2]; +// double bk = q[3]; +// + +#ifndef DDG_QUATERNION_H +#define DDG_QUATERNION_H + +#include "Vector.h" +#include + +namespace DDG +{ + class Quaternion + { + public: + Quaternion( void ); + // initializes all components to zero + + Quaternion( const Quaternion& q ); + // initializes from existing quaternion + + Quaternion( double s, double vi, double vj, double vk ); + // initializes with specified real (s) and imaginary (v) components + + Quaternion( double s, const Vector& v ); + // initializes with specified real (s) and imaginary (v) components + + Quaternion( double s ); + // initializes purely real quaternion with specified real (s) component + + Quaternion( const Complex& z ); + // yields z.re + i*z.im as a quaternion (j and k parts are therefore zero) + + Quaternion( const Vector& v ); + // initializes purely imaginary quaternion with specified imaginary (v) component + + Quaternion( const Vector& e1, const Vector& e2, const Vector& e3 ); + // gives the quaternion which rotates the standard frame + // (i,j,k) into the given frame orthonormal frame (e1,e2,e3) + // (the caller is responsible for making sure the frame is in + // fact orthonormal) assuming(!!!) \tilde{v} = q v \bar{q} + // type rotation + + const Quaternion& operator=( double s ); + // assigns a purely real quaternion with real value s + + const Quaternion& operator=( const Vector& v ); + // assigns a purely real quaternion with imaginary value v + + double& operator[]( int index ); + // returns reference to the specified component (0-based indexing: r, i, j, k) + + const double& operator[]( int index ) const; + // returns const reference to the specified component (0-based indexing: r, i, j, k) + + void toMatrix( double Q[4][4] ) const; + // builds 4x4 matrix Q representing (left) quaternion multiplication + + double& re( void ); + // returns reference to double part + + const double& re( void ) const; + // returns const reference to double part + + Vector& im( void ); + // returns reference to imaginary part + + const Vector& im( void ) const; + // returns const reference to imaginary part + + Quaternion operator+( const Quaternion& q ) const; + // addition + + Quaternion operator-( const Quaternion& q ) const; + // subtraction + + Quaternion operator-( void ) const; + // negation + + Quaternion operator*( double c ) const; + // right scalar multiplication + + Quaternion operator/( double c ) const; + // scalar division + + void operator+=( const Quaternion& q ); + // addition / assignment + + void operator+=( double c ); + // addition / assignment of pure real + + void operator-=( const Quaternion& q ); + // subtraction / assignment + + void operator-=( double c ); + // subtraction / assignment of pure real + + void operator*=( double c ); + // scalar multiplication / assignment + + void operator/=( double c ); + // scalar division / assignment + + Quaternion operator*( const Quaternion& q ) const; + // Hamilton product + + void operator*=( const Quaternion& q ); + // Hamilton product / assignment + + Quaternion conj( void ) const; + // conjugation + + Quaternion inv( void ) const; + // inverse + + double norm( void ) const; + // returns Euclidean length + + double norm2( void ) const; + // returns Euclidean length squared + + Quaternion unit( void ) const; + // returns unit quaternion + + void normalize( void ); + // divides by Euclidean length + + protected: + double s; + // scalar (double) part + + Vector v; + // vector (imaginary) part + }; + + Quaternion operator*( double c, const Quaternion& q ); + // left scalar multiplication + + std::ostream& operator<<( std::ostream& os, const Quaternion& q ); + // prints components +} + +#endif + diff --git a/include/Real.h b/include/Real.h index 54967a9..470e93f 100644 --- a/include/Real.h +++ b/include/Real.h @@ -1,48 +1,48 @@ -#ifndef DDG_REAL_H -#define DDG_REAL_H - -namespace DDG -{ - class Real - { - public: - Real( double x = 0. ); - // constructs real number with value x - - operator double( void ) const; - // type cast to double - - void operator+=( double x ); - // increment - - void operator-=( double x ); - // decrement - - void operator*=( double x ); - // multiply - - void operator/=( double x ); - // divide - - Real conj( void ) const; - // simply returns the value (for compatibility w/ complex numbers) - - Real inv( void ) const; - // returns inverse - - double norm( void ) const; - // returns norm - - double norm2( void ) const; - // returns norm squared - - Real unit( void ) const; - // returns number with unit norm and same sign - - protected: - double value; - // value - }; -} - -#endif +#ifndef DDG_REAL_H +#define DDG_REAL_H + +namespace DDG +{ + class Real + { + public: + Real( double x = 0. ); + // constructs real number with value x + + operator double( void ) const; + // type cast to double + + void operator+=( double x ); + // increment + + void operator-=( double x ); + // decrement + + void operator*=( double x ); + // multiply + + void operator/=( double x ); + // divide + + Real conj( void ) const; + // simply returns the value (for compatibility w/ complex numbers) + + Real inv( void ) const; + // returns inverse + + double norm( void ) const; + // returns norm + + double norm2( void ) const; + // returns norm squared + + Real unit( void ) const; + // returns number with unit norm and same sign + + protected: + double value; + // value + }; +} + +#endif diff --git a/include/SectionIntegrals.h b/include/SectionIntegrals.h index c6ed932..3a95bd0 100644 --- a/include/SectionIntegrals.h +++ b/include/SectionIntegrals.h @@ -1,17 +1,17 @@ -#ifndef DDG_SECTIONINTEGRALS_H -#define DDG_SECTIONINTEGRALS_H - -#include "Complex.h" - -extern DDG::Complex -DirichletIJ( const double s, const double gii, const double gij, const double gjj ); - -extern double -DirichletII( const double s, const double gjj, const double gjk, const double gkk ); - -extern DDG::Complex -MassIJ( const double s ); - -extern double MassII( void ); - -#endif /* SECTIONINTEGRALS */ +#ifndef DDG_SECTIONINTEGRALS_H +#define DDG_SECTIONINTEGRALS_H + +#include "Complex.h" + +extern DDG::Complex +DirichletIJ( const double s, const double gii, const double gij, const double gjj ); + +extern double +DirichletII( const double s, const double gjj, const double gjk, const double gkk ); + +extern DDG::Complex +MassIJ( const double s ); + +extern double MassII( void ); + +#endif /* SECTIONINTEGRALS */ diff --git a/include/Shader.h b/include/Shader.h index cb4c662..f9d44fb 100644 --- a/include/Shader.h +++ b/include/Shader.h @@ -1,68 +1,69 @@ -// ----------------------------------------------------------------------------- -// libDDG -- Shader.h -// ----------------------------------------------------------------------------- -// -// Shader encapsulates the functionality of a shader program written in -// the OpenGL Shader Language (GLSL). Basic usage is to read a collection -// of source files to disk and enable the shader before making draw calls. -// For instance, during initialization one might write -// -// Shader shader; -// shader.loadVertex( "vertex.glsl" ); -// shader.loadFragment( "fragment.glsl" ); -// -// and in the main draw routine write -// -// shader.enable(); -// // draw some stuff -// shader.disable(); -// - -#ifndef DDG_SHADER_H -#define DDG_SHADER_H - -#include -#include - -namespace DDG -{ - class Shader - { - public: - Shader( void ); - // constructor -- shader is initially invalid - - ~Shader( void ); - // destructor - - void loadVertex( const char* filename ); - // read vertex shader from GLSL source file - - void loadFragment( const char* filename ); - // read fragment shader from GLSL source file - - void loadGeometry( const char* filename ); - // read geometry shader from GLSL source file - - void enable( void ); - // uses this shader for rendering - - void disable( void ) const; - // uses the fixed-function pipeline for rendering - - operator GLuint( void ) const; - // returns the ID of this shader program (for calls to OpenGL) - - protected: - void load( GLenum shaderType, const char* filename, GLuint& shader ); - bool readSource( const char* filename, std::string& source ); - - GLuint vertexShader; - GLuint fragmentShader; - GLuint geometryShader; - GLuint program; - bool linked; - }; -} - -#endif +// ----------------------------------------------------------------------------- +// libDDG -- Shader.h +// ----------------------------------------------------------------------------- +// +// Shader encapsulates the functionality of a shader program written in +// the OpenGL Shader Language (GLSL). Basic usage is to read a collection +// of source files to disk and enable the shader before making draw calls. +// For instance, during initialization one might write +// +// Shader shader; +// shader.loadVertex( "vertex.glsl" ); +// shader.loadFragment( "fragment.glsl" ); +// +// and in the main draw routine write +// +// shader.enable(); +// // draw some stuff +// shader.disable(); +// + +#ifndef DDG_SHADER_H +#define DDG_SHADER_H +#define GL_GLEXT_PROTOTYPES + +#include +#include + +namespace DDG +{ + class Shader + { + public: + Shader( void ); + // constructor -- shader is initially invalid + + ~Shader( void ); + // destructor + + void loadVertex( const char* filename ); + // read vertex shader from GLSL source file + + void loadFragment( const char* filename ); + // read fragment shader from GLSL source file + + void loadGeometry( const char* filename ); + // read geometry shader from GLSL source file + + void enable( void ); + // uses this shader for rendering + + void disable( void ) const; + // uses the fixed-function pipeline for rendering + + operator GLuint( void ) const; + // returns the ID of this shader program (for calls to OpenGL) + + protected: + void load( GLenum shaderType, const char* filename, GLuint& shader ); + bool readSource( const char* filename, std::string& source ); + + GLuint vertexShader; + GLuint fragmentShader; + GLuint geometryShader; + GLuint program; + bool linked; + }; +} + +#endif diff --git a/include/SparseMatrix.h b/include/SparseMatrix.h index e487790..e63c76b 100644 --- a/include/SparseMatrix.h +++ b/include/SparseMatrix.h @@ -1,323 +1,323 @@ -// -*- Mode: c++ -*- -// ----------------------------------------------------------------------------- -// libDDG -- SparseMatrix.h -// ----------------------------------------------------------------------------- -// -// SparseMatrix represents an m by n (real or complex) matrix where only -// nonzero entries are stored explicitly. This class is most commonly -// used to represent the linear term in sparse linear systems (i.e., the matrix -// part). -// -// A real or complex matrix is allocated via -// -// SparseMatrix A( m, n ); -// SparseMatrix A( m, n, entryComplex ); -// -// Matrix elements are then accessed using parenthesis, e.g., -// -// A(i,j) = 1; -// A(i,j) += 2; -// a = A(i,j); -// -// etc. -// -// SparseMatrix is interoperable with the SuiteSparse numerical linear algebra -// library. In particular, dereferencing a SparseMatrix returns a -// cholmod_sparse* which can be used by routines in SuiteSparse. For basic -// operations, however, you should not need to access this pointer explicitly -- -// see the solve() method below. -// -// Internally SparseMatrix stores nonzero entries in a heap data structure; the -// amortized cost of insertion is therefore no worse than the sorting cost of -// putting the matrix in compressed-column order. -// - -#ifndef DDG_SPARSE_MATRIX_H -#define DDG_SPARSE_MATRIX_H - -#include -#include -#include -#include "Types.h" -#include "Complex.h" - -namespace DDG -{ - class ColumnEntry; - - template - class SparseMatrix - { - public: - SparseMatrix( int m = 0, int n = 0 ); - // initialize an mxn matrix - - SparseMatrix( const SparseMatrix& B ); - // copy constructor - - ~SparseMatrix( void ); - // destructor - - const SparseMatrix& operator=( const SparseMatrix& B ); - // copies B - - const SparseMatrix& operator=( cholmod_sparse* B ); - // copies a cholmod_sparse* into a SparseMatrix; - // takes responsibility for deallocating B - - void resize( int m, int n, int nnz = -1 ); - // clears and resizes to mxn matrix - // nnz is an optional storage hint (maximum number of nonzeros) - - SparseMatrix transpose( void ) const; - // returns the transpose of this matrix - - cholmod_sparse* to_cholmod( void ); - // returns pointer to copy of matrix in compressed-column CHOLMOD format - - SparseMatrix operator*( const SparseMatrix& B ) const; - // returns product of this matrix with sparse B - - DenseMatrix operator*( const DenseMatrix& B ) const; - // returns product of this matrix with dense B - - DenseMatrix multiply( DenseMatrix& x, bool transpose = false ); - - void operator*=( const T& c ); - // multiplies this matrix by the scalar c - - void operator/=( const T& c ); - // divides this matrix by the scalar c - - void operator+=( const SparseMatrix& B ); - // adds B to this matrix - - void operator-=( const SparseMatrix& B ); - // subtracts B from this matrix - - SparseMatrix operator+( const SparseMatrix& B ) const; - // returns sum of this matrix with B - - SparseMatrix operator-( const SparseMatrix& B ) const; - // returns difference of this matrix with B - - int nRows( void ) const; - // returns the number of rows - - int nColumns( void ) const; - // returns the number of columns - - int length( void ) const; - // returns the size of the largest dimension - - void zero( const T& val ); - // sets all nonzero elements val - - void invertDiagonal( void ); - // inverts diagonal elements - - static SparseMatrix identity( int N ); - // returns the N x N identity matrix - - DenseMatrix full( void ) const; - // converts to a dense matrix - - T& operator()( int row, int col ); - T operator()( int row, int col ) const; - // access the specified element (uses 0-based indexing) - - // TODO for legibility, replace w/ type where entries are named "row, - // TODO col" instead of "first, second" (especially since we adopt the - // TODO unorthodox convention of storing the column first) - typedef std::pair EntryIndex; - // convenience type for an entry index; note that we store column THEN - // row, which makes it easier to build compressed column format - - typedef std::map EntryMap; - typedef typename EntryMap::iterator iterator; - typedef typename EntryMap::const_iterator const_iterator; - // convenience types for storing and accessing entries - - iterator begin( void ); - const_iterator begin( void ) const; - iterator end( void ); - const_iterator end( void ) const; - // return iterators to first and last nonzero entries - - void shift( double c ); - // adds c times the identity matrix to this matrix - - void appendCompressedColumn( std::vector& column ); - void printCompressed( void ) const; - - protected: - int m, n; - EntryMap data; - cholmod_sparse* cData; - int lastCompressedColumn; - int lastCompressedEntry; - - void allocateSparse( int nnz = -1 ); - void setEntry( const_iterator e, int i, double* pr ); - }; - - template - SparseMatrix operator*( const SparseMatrix& A, const T& c ); - // right scalar multiplication - - template - SparseMatrix operator*( const T& c, const SparseMatrix& A ); - // left scalar multiplication - - template - SparseMatrix operator/( const SparseMatrix& A, const T& c ); - // scalar division - - template - std::ostream& operator << (std::ostream& os, const SparseMatrix& o); - // prints entries - - template - class SparseFactor - { - public: - SparseFactor( void ); - ~SparseFactor( void ); - - void build( SparseMatrix& A ); - // factorizes positive-definite matrix A using CHOLMOD - - bool valid( void ) const; - // returns true if the factor has been built; false otherwise - - cholmod_factor* to_cholmod( void ); - // returns pointer to underlying cholmod_factor data structure - - protected: - cholmod_factor *L; - }; - - template - void solve( SparseMatrix& A, - DenseMatrix& x, - DenseMatrix& b ); - // solves the sparse linear system Ax = b using sparse QR factorization - - template - void solveSquare( SparseMatrix& A, - DenseMatrix& x, - DenseMatrix& b ); - // solves the sparse linear system Ax = b using sparse LU factorization - - template - void solvePositiveDefinite( SparseMatrix& A, - DenseMatrix& x, - DenseMatrix& b ); - // solves the positive definite sparse linear system Ax = b using sparse Cholesky factorization - - template - void backsolvePositiveDefinite( SparseFactor& L, - DenseMatrix& x, - DenseMatrix& b ); - // backsolves the prefactored positive definite sparse linear system LL'x = b - - template - void smallestEig( SparseMatrix& A, - DenseMatrix& x, - bool ignoreConstantVector = true ); - // solves A x = lambda x for the smallest nonzero eigenvalue lambda - // A must be symmetric; x is used as an initial guess - - template - void smallestEig( SparseMatrix& A, - SparseMatrix& B, - DenseMatrix& x ); - // solves A x = lambda B x for the smallest nonzero generalized eigenvalue lambda - // A and B must be symmetric; x is used as an initial guess - - template - void smallestEigPositiveDefinite( SparseMatrix& A, - DenseMatrix& x, - bool ignoreConstantVector = true ); - // solves A x = lambda x for the smallest nonzero eigenvalue lambda - // A must be positive (semi-)definite; x is used as an initial guess - - template - void smallestEigPositiveDefinite( SparseMatrix& A, - SparseMatrix& B, - DenseMatrix& x ); - // solves A x = lambda B x for the smallest nonzero eigenvalue lambda - // A must be positive (semi-)definite, B must be symmetric; x is used as an initial guess - - template - void smallestEigPositiveDefinite( SparseMatrix& A, - SparseMatrix& B, - DenseMatrix& E, - DenseMatrix& x ); - // solves A x = lambda (B - EE^T) x for the smallest nonzero eigenvalue lambda - // A must be positive (semi-)definite, B must be symmetric; EE^T is a low-rank matrix, and - // x is used as an initial guess - - template - double residual( const SparseMatrix& A, - const DenseMatrix& x, - const DenseMatrix& b ); - // returns the max residual of the linear problem A x = b relative to the largest entry of the solution - - template - double residual( const SparseMatrix& A, - const DenseMatrix& x ); - // returns the max residual of the eigenvalue problem A x = lambda x relative to the largest entry of the solution - - template - double residual( const SparseMatrix& A, - const SparseMatrix& B, - const DenseMatrix& x ); - // returns the max residual of the generalized eigenvalue problem A x = lambda B x relative to the largest entry of the solution - - template - double residual( const SparseMatrix& A, - const SparseMatrix& B, - const DenseMatrix& E, - const DenseMatrix& x ); - // returns the max residual of the generalized eigenvalue problem A x = lambda (B - EE^T) x relative to the largest entry of the solution - - template - T rayleighQuotient( const SparseMatrix& A, - const DenseMatrix& x ); - // returns / - - template - T rayleighQuotient( SparseMatrix& A, - SparseMatrix& B, - DenseMatrix& x ); - // returns / - - template - T rayleighQuotient( const SparseMatrix& A, - const SparseMatrix& B, - const DenseMatrix& E, - const DenseMatrix& x ); - // returns /<(B-EE^T)x,x> - - class ColumnEntry - { - public: - size_t index; - Complex value; - - ColumnEntry( void ) {} - ColumnEntry( size_t i, Complex z ) - : index( i ), value( z ) - {} - - bool operator<( const ColumnEntry& e ) const - { - return index < e.index; - } - }; -} - -#include "SparseMatrix.inl" - -#endif +// -*- Mode: c++ -*- +// ----------------------------------------------------------------------------- +// libDDG -- SparseMatrix.h +// ----------------------------------------------------------------------------- +// +// SparseMatrix represents an m by n (real or complex) matrix where only +// nonzero entries are stored explicitly. This class is most commonly +// used to represent the linear term in sparse linear systems (i.e., the matrix +// part). +// +// A real or complex matrix is allocated via +// +// SparseMatrix A( m, n ); +// SparseMatrix A( m, n, entryComplex ); +// +// Matrix elements are then accessed using parenthesis, e.g., +// +// A(i,j) = 1; +// A(i,j) += 2; +// a = A(i,j); +// +// etc. +// +// SparseMatrix is interoperable with the SuiteSparse numerical linear algebra +// library. In particular, dereferencing a SparseMatrix returns a +// cholmod_sparse* which can be used by routines in SuiteSparse. For basic +// operations, however, you should not need to access this pointer explicitly -- +// see the solve() method below. +// +// Internally SparseMatrix stores nonzero entries in a heap data structure; the +// amortized cost of insertion is therefore no worse than the sorting cost of +// putting the matrix in compressed-column order. +// + +#ifndef DDG_SPARSE_MATRIX_H +#define DDG_SPARSE_MATRIX_H + +#include +#include +#include +#include "Types.h" +#include "Complex.h" + +namespace DDG +{ + class ColumnEntry; + + template + class SparseMatrix + { + public: + SparseMatrix( int m = 0, int n = 0 ); + // initialize an mxn matrix + + SparseMatrix( const SparseMatrix& B ); + // copy constructor + + ~SparseMatrix( void ); + // destructor + + const SparseMatrix& operator=( const SparseMatrix& B ); + // copies B + + const SparseMatrix& operator=( cholmod_sparse* B ); + // copies a cholmod_sparse* into a SparseMatrix; + // takes responsibility for deallocating B + + void resize( int m, int n, int nnz = -1 ); + // clears and resizes to mxn matrix + // nnz is an optional storage hint (maximum number of nonzeros) + + SparseMatrix transpose( void ) const; + // returns the transpose of this matrix + + cholmod_sparse* to_cholmod( void ); + // returns pointer to copy of matrix in compressed-column CHOLMOD format + + SparseMatrix operator*( const SparseMatrix& B ) const; + // returns product of this matrix with sparse B + + DenseMatrix operator*( const DenseMatrix& B ) const; + // returns product of this matrix with dense B + + DenseMatrix multiply( DenseMatrix& x, bool transpose = false ); + + void operator*=( const T& c ); + // multiplies this matrix by the scalar c + + void operator/=( const T& c ); + // divides this matrix by the scalar c + + void operator+=( const SparseMatrix& B ); + // adds B to this matrix + + void operator-=( const SparseMatrix& B ); + // subtracts B from this matrix + + SparseMatrix operator+( const SparseMatrix& B ) const; + // returns sum of this matrix with B + + SparseMatrix operator-( const SparseMatrix& B ) const; + // returns difference of this matrix with B + + int nRows( void ) const; + // returns the number of rows + + int nColumns( void ) const; + // returns the number of columns + + int length( void ) const; + // returns the size of the largest dimension + + void zero( const T& val ); + // sets all nonzero elements val + + void invertDiagonal( void ); + // inverts diagonal elements + + static SparseMatrix identity( int N ); + // returns the N x N identity matrix + + DenseMatrix full( void ) const; + // converts to a dense matrix + + T& operator()( int row, int col ); + T operator()( int row, int col ) const; + // access the specified element (uses 0-based indexing) + + // TODO for legibility, replace w/ type where entries are named "row, + // TODO col" instead of "first, second" (especially since we adopt the + // TODO unorthodox convention of storing the column first) + typedef std::pair EntryIndex; + // convenience type for an entry index; note that we store column THEN + // row, which makes it easier to build compressed column format + + typedef std::map EntryMap; + typedef typename EntryMap::iterator iterator; + typedef typename EntryMap::const_iterator const_iterator; + // convenience types for storing and accessing entries + + iterator begin( void ); + const_iterator begin( void ) const; + iterator end( void ); + const_iterator end( void ) const; + // return iterators to first and last nonzero entries + + void shift( double c ); + // adds c times the identity matrix to this matrix + + void appendCompressedColumn( std::vector& column ); + void printCompressed( void ) const; + + protected: + int m, n; + EntryMap data; + cholmod_sparse* cData; + int lastCompressedColumn; + int lastCompressedEntry; + + void allocateSparse( int nnz = -1 ); + void setEntry( const_iterator e, int i, double* pr ); + }; + + template + SparseMatrix operator*( const SparseMatrix& A, const T& c ); + // right scalar multiplication + + template + SparseMatrix operator*( const T& c, const SparseMatrix& A ); + // left scalar multiplication + + template + SparseMatrix operator/( const SparseMatrix& A, const T& c ); + // scalar division + + template + std::ostream& operator << (std::ostream& os, const SparseMatrix& o); + // prints entries + + template + class SparseFactor + { + public: + SparseFactor( void ); + ~SparseFactor( void ); + + void build( SparseMatrix& A ); + // factorizes positive-definite matrix A using CHOLMOD + + bool valid( void ) const; + // returns true if the factor has been built; false otherwise + + cholmod_factor* to_cholmod( void ); + // returns pointer to underlying cholmod_factor data structure + + protected: + cholmod_factor *L; + }; + + template + void solve( SparseMatrix& A, + DenseMatrix& x, + DenseMatrix& b ); + // solves the sparse linear system Ax = b using sparse QR factorization + + template + void solveSquare( SparseMatrix& A, + DenseMatrix& x, + DenseMatrix& b ); + // solves the sparse linear system Ax = b using sparse LU factorization + + template + void solvePositiveDefinite( SparseMatrix& A, + DenseMatrix& x, + DenseMatrix& b ); + // solves the positive definite sparse linear system Ax = b using sparse Cholesky factorization + + template + void backsolvePositiveDefinite( SparseFactor& L, + DenseMatrix& x, + DenseMatrix& b ); + // backsolves the prefactored positive definite sparse linear system LL'x = b + + template + void smallestEig( SparseMatrix& A, + DenseMatrix& x, + bool ignoreConstantVector = true ); + // solves A x = lambda x for the smallest nonzero eigenvalue lambda + // A must be symmetric; x is used as an initial guess + + template + void smallestEig( SparseMatrix& A, + SparseMatrix& B, + DenseMatrix& x ); + // solves A x = lambda B x for the smallest nonzero generalized eigenvalue lambda + // A and B must be symmetric; x is used as an initial guess + + template + void smallestEigPositiveDefinite( SparseMatrix& A, + DenseMatrix& x, + bool ignoreConstantVector = true ); + // solves A x = lambda x for the smallest nonzero eigenvalue lambda + // A must be positive (semi-)definite; x is used as an initial guess + + template + void smallestEigPositiveDefinite( SparseMatrix& A, + SparseMatrix& B, + DenseMatrix& x ); + // solves A x = lambda B x for the smallest nonzero eigenvalue lambda + // A must be positive (semi-)definite, B must be symmetric; x is used as an initial guess + + template + void smallestEigPositiveDefinite( SparseMatrix& A, + SparseMatrix& B, + DenseMatrix& E, + DenseMatrix& x ); + // solves A x = lambda (B - EE^T) x for the smallest nonzero eigenvalue lambda + // A must be positive (semi-)definite, B must be symmetric; EE^T is a low-rank matrix, and + // x is used as an initial guess + + template + double residual( const SparseMatrix& A, + const DenseMatrix& x, + const DenseMatrix& b ); + // returns the max residual of the linear problem A x = b relative to the largest entry of the solution + + template + double residual( const SparseMatrix& A, + const DenseMatrix& x ); + // returns the max residual of the eigenvalue problem A x = lambda x relative to the largest entry of the solution + + template + double residual( const SparseMatrix& A, + const SparseMatrix& B, + const DenseMatrix& x ); + // returns the max residual of the generalized eigenvalue problem A x = lambda B x relative to the largest entry of the solution + + template + double residual( const SparseMatrix& A, + const SparseMatrix& B, + const DenseMatrix& E, + const DenseMatrix& x ); + // returns the max residual of the generalized eigenvalue problem A x = lambda (B - EE^T) x relative to the largest entry of the solution + + template + T rayleighQuotient( const SparseMatrix& A, + const DenseMatrix& x ); + // returns / + + template + T rayleighQuotient( SparseMatrix& A, + SparseMatrix& B, + DenseMatrix& x ); + // returns / + + template + T rayleighQuotient( const SparseMatrix& A, + const SparseMatrix& B, + const DenseMatrix& E, + const DenseMatrix& x ); + // returns /<(B-EE^T)x,x> + + class ColumnEntry + { + public: + size_t index; + Complex value; + + ColumnEntry( void ) {} + ColumnEntry( size_t i, Complex z ) + : index( i ), value( z ) + {} + + bool operator<( const ColumnEntry& e ) const + { + return index < e.index; + } + }; +} + +#include "SparseMatrix.inl" + +#endif diff --git a/include/Types.h b/include/Types.h index e2d38d8..000d2f9 100644 --- a/include/Types.h +++ b/include/Types.h @@ -1,65 +1,65 @@ -// -*- Mode: c++ -*- -// ----------------------------------------------------------------------------- -// libDDG -- Types.h -// ----------------------------------------------------------------------------- -// -// This file contains forward declarations of common types and definitions of -// convenience types for standard iterators. -// - -#ifndef DDG_TYPES_H -#define DDG_TYPES_H - -#include -#include -#include - -namespace DDG -{ - // forward declarations - class Camera; - class Complex; - class Edge; - class Face; - class HalfEdge; - class Image; - class LinearContext; - class LinearEquation; - class LinearPolynomial; - class LinearSystem; - class Mesh; - class MeshIO; - class Quaternion; - class Real; - class Shader; - class Variable; - class Vector; - class Vertex; - class Viewer; - - template - class DenseMatrix; - - template - class SparseMatrix; - - // convenience types for iterators - typedef std::map::iterator TermIter; - typedef std::map::const_iterator TermCIter; - typedef std::vector::iterator PolyIter; - typedef std::vector::const_iterator PolyCIter; - typedef std::vector::iterator EqnIter; - typedef std::vector::const_iterator EqnCIter; - typedef std::map::iterator IndexIter; - typedef std::map::const_iterator IndexCIter; - typedef std::vector::iterator HalfEdgeIter; - typedef std::vector::const_iterator HalfEdgeCIter; - typedef std::vector::iterator VertexIter; - typedef std::vector::const_iterator VertexCIter; - typedef std::vector::iterator EdgeIter; - typedef std::vector::const_iterator EdgeCIter; - typedef std::vector::iterator FaceIter; - typedef std::vector::const_iterator FaceCIter; -} - -#endif +// -*- Mode: c++ -*- +// ----------------------------------------------------------------------------- +// libDDG -- Types.h +// ----------------------------------------------------------------------------- +// +// This file contains forward declarations of common types and definitions of +// convenience types for standard iterators. +// + +#ifndef DDG_TYPES_H +#define DDG_TYPES_H + +#include +#include +#include + +namespace DDG +{ + // forward declarations + class Camera; + class Complex; + class Edge; + class Face; + class HalfEdge; + class Image; + class LinearContext; + class LinearEquation; + class LinearPolynomial; + class LinearSystem; + class Mesh; + class MeshIO; + class Quaternion; + class Real; + class Shader; + class Variable; + class Vector; + class Vertex; + class Viewer; + + template + class DenseMatrix; + + template + class SparseMatrix; + + // convenience types for iterators + typedef std::map::iterator TermIter; + typedef std::map::const_iterator TermCIter; + typedef std::vector::iterator PolyIter; + typedef std::vector::const_iterator PolyCIter; + typedef std::vector::iterator EqnIter; + typedef std::vector::const_iterator EqnCIter; + typedef std::map::iterator IndexIter; + typedef std::map::const_iterator IndexCIter; + typedef std::vector::iterator HalfEdgeIter; + typedef std::vector::const_iterator HalfEdgeCIter; + typedef std::vector::iterator VertexIter; + typedef std::vector::const_iterator VertexCIter; + typedef std::vector::iterator EdgeIter; + typedef std::vector::const_iterator EdgeCIter; + typedef std::vector::iterator FaceIter; + typedef std::vector::const_iterator FaceCIter; +} + +#endif diff --git a/include/Utility.h b/include/Utility.h index d840c46..df49a1a 100644 --- a/include/Utility.h +++ b/include/Utility.h @@ -1,65 +1,65 @@ -#ifndef DDG_UTILITY_H -#define DDG_UTILITY_H - -#include -#include -#include -#include -#include -#include "Complex.h" - -namespace DDGConstants -{ - static DDG::Complex ii( 0., 1. ); - const double PI = 3.14159265358979323846; -} - -namespace DDG -{ - inline double sqr( double x ) - { - return x*x; - } - - inline double unitRand( void ) - { - const double rRandMax = 1. / (double) RAND_MAX; - - return rRandMax * (double) rand(); - } - - inline double seconds( int t0, int t1 ) - { - return (double)(t1-t0) / (double) CLOCKS_PER_SEC; - } - - inline const double fmodPI( const double a ) - { - using namespace DDGConstants; - return a - (2*PI) * floor( (a+PI) / (2*PI) ); - } - - inline double wallClock( void ) - { - struct timeval t; - struct timezone tz; - gettimeofday( &t, &tz ); - return (double) t.tv_sec + 1e-6*(double) t.tv_usec; - } - - inline void printTiming( const char* message, double t ) - { - using namespace std; - - void* callstack[128]; - int stackDepth = backtrace( callstack, 128 ); - - for( int i = 0; i < stackDepth; i++ ) - { - cerr << " "; - } - cerr << "Wall clock time to " << message << ": " << t << " seconds." << endl; - } -} - -#endif +#ifndef DDG_UTILITY_H +#define DDG_UTILITY_H + +#include +#include +#include +#include +#include +#include "Complex.h" + +namespace DDGConstants +{ + static DDG::Complex ii( 0., 1. ); + const double PI = 3.14159265358979323846; +} + +namespace DDG +{ + inline double sqr( double x ) + { + return x*x; + } + + inline double unitRand( void ) + { + const double rRandMax = 1. / (double) RAND_MAX; + + return rRandMax * (double) rand(); + } + + inline double seconds( int t0, int t1 ) + { + return (double)(t1-t0) / (double) CLOCKS_PER_SEC; + } + + inline const double fmodPI( const double a ) + { + using namespace DDGConstants; + return a - (2*PI) * floor( (a+PI) / (2*PI) ); + } + + inline double wallClock( void ) + { + struct timeval t; + struct timezone tz; + gettimeofday( &t, &tz ); + return (double) t.tv_sec + 1e-6*(double) t.tv_usec; + } + + inline void printTiming( const char* message, double t ) + { + using namespace std; + + void* callstack[128]; + int stackDepth = backtrace( callstack, 128 ); + + for( int i = 0; i < stackDepth; i++ ) + { + cerr << " "; + } + cerr << "Wall clock time to " << message << ": " << t << " seconds." << endl; + } +} + +#endif diff --git a/include/Vector.h b/include/Vector.h index 775c9c2..7e5701f 100755 --- a/include/Vector.h +++ b/include/Vector.h @@ -1,123 +1,123 @@ -// -*- Mode: c++ -*- -// ----------------------------------------------------------------------------- -// libDDG -- Vector.h -// ----------------------------------------------------------------------------- -// -// Vector represents an element of Euclidean 3-space, along with all the usual -// vectors space operations (addition, multiplication by scalars, etc.). The -// inner product (i.e., scalar or dot product) is expressed using the global -// method dot(): -// -// Vector u, v; -// double cosTheta = dot( u, v ); -// -// and the cross product is expressed using the global method cross(): -// -// Vector u, v, w; -// w = cross( u, v ); -// -// Individual components can be accessed in two ways: either directly via the -// members x, y, and z: -// -// Vector v; -// cout << v.x << endl; -// cout << v.y << endl; -// cout << v.z << endl; -// -// or by index: -// -// Vector v; -// for( int i = 0; i < 3; i++ ) -// { -// cout << v[i] << endl; -// } -// - -#ifndef DDG_VECTOR_H -#define DDG_VECTOR_H - -#include - -namespace DDG -{ - class Complex; - - class Vector - { - public: - Vector(); - // initializes all components to zero - - Vector( double x, double y, double z); - // initializes with specified components - - Vector( const Vector& v ); - // initializes from existing vector - - double& operator[] ( const int& index ); - // returns reference to the specified component (0-based indexing: x, y, z) - - const double& operator[] ( const int& index ) const; - // returns const reference to the specified component (0-based indexing: x, y, z) - - Vector operator+( const Vector& v ) const; - // addition - - Vector operator-( const Vector& v ) const; - // subtraction - - Vector operator-( void ) const; - // negation - - Vector operator*( const double& c ) const; - // right scalar multiplication - - Vector operator/( const double& c ) const; - // scalar division - - void operator+=( const Vector& v ); - // addition / assignment - - void operator-=( const Vector& v ); - // subtraction / assignment - - void operator*=( const double& c ); - // scalar multiplication / assignment - - void operator/=( const double& c ); - // scalar division / assignment - - double norm( void ) const; - // returns Euclidean length - - double norm2( void ) const; - // returns Euclidean length squared - - Vector unit( void ) const; - // returns unit vector - - void normalize( void ); - // divides by Euclidean length - - Vector abs( void ) const; - // returns vector containing magnitude of each component - - double x, y, z; - // components - }; - - Vector operator* ( const double& c, const Vector& v ); - // left scalar multiplication - - double dot( const Vector& u, const Vector& v ); - // dot product (a.k.a. inner or scalar product) - - Vector cross( const Vector& u, const Vector& v ); - // cross product - - std::ostream& operator << (std::ostream& os, const Vector& o); - // prints components -} - -#endif - +// -*- Mode: c++ -*- +// ----------------------------------------------------------------------------- +// libDDG -- Vector.h +// ----------------------------------------------------------------------------- +// +// Vector represents an element of Euclidean 3-space, along with all the usual +// vectors space operations (addition, multiplication by scalars, etc.). The +// inner product (i.e., scalar or dot product) is expressed using the global +// method dot(): +// +// Vector u, v; +// double cosTheta = dot( u, v ); +// +// and the cross product is expressed using the global method cross(): +// +// Vector u, v, w; +// w = cross( u, v ); +// +// Individual components can be accessed in two ways: either directly via the +// members x, y, and z: +// +// Vector v; +// cout << v.x << endl; +// cout << v.y << endl; +// cout << v.z << endl; +// +// or by index: +// +// Vector v; +// for( int i = 0; i < 3; i++ ) +// { +// cout << v[i] << endl; +// } +// + +#ifndef DDG_VECTOR_H +#define DDG_VECTOR_H + +#include + +namespace DDG +{ + class Complex; + + class Vector + { + public: + Vector(); + // initializes all components to zero + + Vector( double x, double y, double z); + // initializes with specified components + + Vector( const Vector& v ); + // initializes from existing vector + + double& operator[] ( const int& index ); + // returns reference to the specified component (0-based indexing: x, y, z) + + const double& operator[] ( const int& index ) const; + // returns const reference to the specified component (0-based indexing: x, y, z) + + Vector operator+( const Vector& v ) const; + // addition + + Vector operator-( const Vector& v ) const; + // subtraction + + Vector operator-( void ) const; + // negation + + Vector operator*( const double& c ) const; + // right scalar multiplication + + Vector operator/( const double& c ) const; + // scalar division + + void operator+=( const Vector& v ); + // addition / assignment + + void operator-=( const Vector& v ); + // subtraction / assignment + + void operator*=( const double& c ); + // scalar multiplication / assignment + + void operator/=( const double& c ); + // scalar division / assignment + + double norm( void ) const; + // returns Euclidean length + + double norm2( void ) const; + // returns Euclidean length squared + + Vector unit( void ) const; + // returns unit vector + + void normalize( void ); + // divides by Euclidean length + + Vector abs( void ) const; + // returns vector containing magnitude of each component + + double x, y, z; + // components + }; + + Vector operator* ( const double& c, const Vector& v ); + // left scalar multiplication + + double dot( const Vector& u, const Vector& v ); + // dot product (a.k.a. inner or scalar product) + + Vector cross( const Vector& u, const Vector& v ); + // cross product + + std::ostream& operator << (std::ostream& os, const Vector& o); + // prints components +} + +#endif + diff --git a/include/Vertex.h b/include/Vertex.h index 48f4f4e..9d50be4 100644 --- a/include/Vertex.h +++ b/include/Vertex.h @@ -1,102 +1,104 @@ -// -*- Mode: c++ -*- -// ----------------------------------------------------------------------------- -// libDDG -- Vertex.h -// ----------------------------------------------------------------------------- -// -// Vertex stores attributes associated with a mesh edge. The iterator he -// points to its "outgoing" halfedge. (See the documentation for a more -// in-depth discussion of the halfedge data structure.) -// - -#ifndef DDG_VERTEX_H -#define DDG_VERTEX_H - -#include "Vector.h" -#include "Types.h" -#include "Complex.h" -#include "HalfEdge.h" - -namespace DDG -{ - class Vertex - { - public: - HalfEdgeIter he; - // points to the "outgoing" halfedge - HalfEdgeCIter parent; - // needed in generators construction (shouldn't be here...) - - Vector position; - // location of vertex in Euclidean 3-space - - // PS: K-vec/dir stuff - // coefficient of PL section - Complex u; - - // basis direction, which is a half edge - const HalfEdgeIter X( void ) const { return he; } - - // resp. an actual vector in world space - const Vector Xvector( void ) const; - - // for display/output: one of n vectors representing the field (e.g., one of four "arms" of a cross) - const Vector fieldVector( void ) const; - - // angle scale factor for intrinsic tangent spaces - double s; - - // mass of this vertex (happens to be real, but otherwise is a - // complex coefficient); also called m_{ii} in the paper - double m; - - // energy matrix coefficient Es_{ii} - double Es; - - // Coefficient of PL section used in alignemnt (initialized to - // Hopf differential as that is the canonical use of this) - Complex q; - - // returns the kVec in world space - const Vector kVec( void ) const; - - Vector normal; - void updateNormal( void ); - // returns the vertex unit normal (volume gradient normal, - // i.e., area weighted adding of incident face normals) - - bool isIsolated( void ) const; - // returns true if the vertex is not contained in any face or edge; false otherwise - - // PS: counts number of edges, not faces (makes a difference at the boundary) - const unsigned int valence( void ) const; - // returns the number of incident faces - - double AngleOfEdge( const HalfEdgeCIter he ) const; - // returns angle from X() direction to he in the flattened tangent space - - void EnforceBoundaryHalfEdgeConvention( void ); - // some code is greatly simplified if we may assume that the he - // pointer of a boundary vertex points to the first boundary edge - // in CCW order; enforce this here - - // PS: gross. but this is gotta be good enough for now (amortized cost is constant) - bool onBoundary( void ) const { - HalfEdgeIter hi = he; - do{ if( hi->onBoundary ) return true; }while( ( hi = hi->flip->next ) != he ); - return false; - } - - double BoundaryNormalAngle(); - // for a boundary vertex, return angle corresponding to the - // (inward) vector orthogonal to the domain boundary - - Complex BoundaryValue( unsigned int n ); - // complex value corresponding to the boundary normal, for an n-direction field - - int id; - // unique ID (used to index matrices) - }; -} - -#endif - +// -*- Mode: c++ -*- +// ----------------------------------------------------------------------------- +// libDDG -- Vertex.h +// ----------------------------------------------------------------------------- +// +// Vertex stores attributes associated with a mesh edge. The iterator he +// points to its "outgoing" halfedge. (See the documentation for a more +// in-depth discussion of the halfedge data structure.) +// + +#ifndef DDG_VERTEX_H +#define DDG_VERTEX_H + +#include "Vector.h" +#include "Types.h" +#include "Complex.h" +#include "HalfEdge.h" + +namespace DDG +{ + class Vertex + { + public: + HalfEdgeIter he; + // points to the "outgoing" halfedge + HalfEdgeCIter parent; + // needed in generators construction (shouldn't be here...) + + Vector position; + // location of vertex in Euclidean 3-space + + // PS: K-vec/dir stuff + // coefficient of PL section + Complex u; + + // basis direction, which is a half edge + const HalfEdgeIter X( void ) const { return he; } + + // resp. an actual vector in world space + const Vector Xvector( void ) const; + + // for display/output: one of n vectors representing the field (e.g., one of four "arms" of a cross) + const Vector fieldVector( void ) const; + + // angle scale factor for intrinsic tangent spaces + double s; + + // mass of this vertex (happens to be real, but otherwise is a + // complex coefficient); also called m_{ii} in the paper + double m; + + // energy matrix coefficient Es_{ii} + double Es; + + // Coefficient of PL section used in alignemnt (initialized to + // Hopf differential as that is the canonical use of this) + Complex q; + + Vector alignment; + + // returns the kVec in world space + const Vector kVec( void ) const; + + Vector normal; + void updateNormal( void ); + // returns the vertex unit normal (volume gradient normal, + // i.e., area weighted adding of incident face normals) + + bool isIsolated( void ) const; + // returns true if the vertex is not contained in any face or edge; false otherwise + + // PS: counts number of edges, not faces (makes a difference at the boundary) + const unsigned int valence( void ) const; + // returns the number of incident faces + + double AngleOfEdge( const HalfEdgeCIter he ) const; + // returns angle from X() direction to he in the flattened tangent space + + void EnforceBoundaryHalfEdgeConvention( void ); + // some code is greatly simplified if we may assume that the he + // pointer of a boundary vertex points to the first boundary edge + // in CCW order; enforce this here + + // PS: gross. but this is gotta be good enough for now (amortized cost is constant) + bool onBoundary( void ) const { + HalfEdgeIter hi = he; + do{ if( hi->onBoundary ) return true; }while( ( hi = hi->flip->next ) != he ); + return false; + } + + double BoundaryNormalAngle(); + // for a boundary vertex, return angle corresponding to the + // (inward) vector orthogonal to the domain boundary + + Complex BoundaryValue( unsigned int n ); + // complex value corresponding to the boundary normal, for an n-direction field + + int id; + // unique ID (used to index matrices) + }; +} + +#endif + diff --git a/include/Viewer.h b/include/Viewer.h index 076e28e..994c853 100644 --- a/include/Viewer.h +++ b/include/Viewer.h @@ -1,137 +1,145 @@ -// ----------------------------------------------------------------------------- -// libDDG -- Viewer.h -// ----------------------------------------------------------------------------- -// -// Viewer provides a graphical user interface (GUI) for inspecting and -// interacting with a Mesh object. Viewer methods are static in order -// to make them compatible with GLUT callbacks. -// - -#ifndef DDG_VIEWER_H -#define DDG_VIEWER_H - -#include -#include -#include "Mesh.h" -#include "Camera.h" -#include "Shader.h" - -namespace DDG -{ - class Viewer - { - public: - static void init( void ); - // displays the viewer until the program ends - - static Mesh mesh; - // surface mesh visualized by Viewer - - protected: - // draw routines - static void initGL( void ); - static void initGLUT( void ); - static void initGLSL( void ); - static void initLighting( void ); - static void drawSurface( void ); - static void drawMesh( void ); - static void setMeshMaterial( void ); - static void updateDisplayList( void ); - static void drawField( void ); - static void drawPolygons( void ); - static void drawWireframe( void ); - static void drawHedgehog( void ); - static void drawIsolatedVertices( void ); - static void drawSingularities( void ); - static void drawInfo( void ); - - enum stringAlignment - { - alignLeft, - alignCenter, - alignRight - }; - static void drawString( std::string s, int x, int y, stringAlignment alignment = alignLeft ); - - // GLUT callbacks - static void display( void ); - static void idle( void ); - static void keyboard( unsigned char c, int x, int y ); - static void special( int i, int x, int y ); - static void mouse( int button, int state, int x, int y ); - static void motion( int x, int y ); - static void menu( int value ); - static void view( int value ); - - // menu functions - static void mSmoothField( void ); - static void mToggleAlignment( void ); - static void mToggleFixedBoundary( void ); - static void mToggleSingularities( void ); - static void mToggleHedgehog( void ); - static void mResetMesh( void ); - static void mWriteMesh( void ); - static void mExit( void ); - static void mSmoothShaded( void ); - static void mTextured( void ); - static void mWireframe( void ); - static void mZoomIn( void ); - static void mZoomOut( void ); - static void mScreenshot( void ); - - // unique identifiers for menus - enum - { - menuSmoothField, - menuInfConfDefo, - menuResetMesh, - menuWriteMesh, - menuExit, - menuSmoothShaded, - menuWireframe, - menuZoomIn, - menuZoomOut, - menuScreenshot, - menuToggleAlignment, - menuToggleFixedBoundary, - menuToggleHedgehog, - menuToggleSingularities - }; - - // draw state - enum RenderMode - { - renderShaded = 0, - renderWireframe = 1 - }; - - static RenderMode mode; - // current render mode - static bool fieldViz; - static bool hedgehogViz; - static bool showSingularities; - - static void storeViewerState( void ); - static void restoreViewerState( void ); - static int windowSize[2]; - - static Camera camera; - // keeps track of view state - - static GLuint surfaceDL; - // display list for mesh - - static Shader shader; - // shader used to determine appearance of surface - - // field parameters - static int fieldDegree; // degree k of k-field - static bool align; // toggles alignment with curvature - static bool fixBoundary; // toggles fixed boundary vectors (Dirichlet conditions) - static double t; // amount of alignment - static double s; // determines smoothness energy (between -1,1) - }; -} - -#endif - +// ----------------------------------------------------------------------------- +// libDDG -- Viewer.h +// ----------------------------------------------------------------------------- +// +// Viewer provides a graphical user interface (GUI) for inspecting and +// interacting with a Mesh object. Viewer methods are static in order +// to make them compatible with GLUT callbacks. +// + +#ifndef DDG_VIEWER_H +#define DDG_VIEWER_H +#define GL_GLEXT_PROTOTYPES + +#include +#include +#include "Mesh.h" +#include "Camera.h" +#include "Shader.h" + +namespace DDG +{ + class Viewer + { + public: + static void init( void ); + // displays the viewer until the program ends + + static Mesh mesh; + // surface mesh visualized by Viewer + + protected: + // draw routines + static void initGL( void ); + static void initGLUT( void ); + static void initGLSL( void ); + static void initLighting( void ); + static void drawSurface( void ); + static void drawMesh( void ); + static void setMeshMaterial( void ); + static void updateDisplayList( void ); + static void drawField( void ); + static void drawPolygons( void ); + static void drawWireframe( void ); + static void drawHedgehog( void ); + static void drawIsolatedVertices( void ); + static void drawSingularities( void ); + static void drawInfo( void ); + + enum stringAlignment + { + alignLeft, + alignCenter, + alignRight + }; + static void drawString( std::string s, int x, int y, stringAlignment alignment = alignLeft ); + + // GLUT callbacks + static void display( void ); + static void idle( void ); + static void keyboard( unsigned char c, int x, int y ); + static void special( int i, int x, int y ); + static void mouse( int button, int state, int x, int y ); + static void motion( int x, int y ); + static void menu( int value ); + static void view( int value ); + + // menu functions + static void mSmoothField( void ); + static void mToggleAlignment( void ); + static void mToggleGivenAlignment( void ); + static void mToggleInputAlignment( void ); + static void mToggleFixedBoundary( void ); + static void mToggleSingularities( void ); + static void mToggleHedgehog( void ); + static void mResetMesh( void ); + static void mWriteMesh( void ); + static void mExit( void ); + static void mSmoothShaded( void ); + static void mTextured( void ); + static void mWireframe( void ); + static void mZoomIn( void ); + static void mZoomOut( void ); + static void mScreenshot( void ); + + // unique identifiers for menus + enum + { + menuSmoothField, + menuInfConfDefo, + menuResetMesh, + menuWriteMesh, + menuExit, + menuSmoothShaded, + menuWireframe, + menuZoomIn, + menuZoomOut, + menuScreenshot, + menuToggleAlignment, + menuToggleVecAlignment, + menuToggleInpAlignment, + menuToggleFixedBoundary, + menuToggleHedgehog, + menuToggleSingularities + }; + + // draw state + enum RenderMode + { + renderShaded = 0, + renderWireframe = 1 + }; + + static RenderMode mode; + // current render mode + static bool fieldViz; + static bool hedgehogViz; + static bool showSingularities; + + static void storeViewerState( void ); + static void restoreViewerState( void ); + static int windowSize[2]; + + static Camera camera; + // keeps track of view state + + static GLuint surfaceDL; + // display list for mesh + + static Shader shader; + // shader used to determine appearance of surface + + // field parameters + static int fieldDegree; // degree k of k-field + static bool align; // toggles alignment with curvature + static bool alignToGivenField; // toggles alignment with a given alignment field + static bool fixBoundary; // toggles fixed boundary vectors (Dirichlet conditions) + static bool showInputField; // shows user inputted vector alignment fields + static double t; // amount of alignment + static double s; // determines smoothness energy (between -1,1) + static double alignmentMagnitude;// alignment magnitude at a point + }; +} + +#endif + diff --git a/src/Camera.cpp b/src/Camera.cpp index 0af3695..260662a 100644 --- a/src/Camera.cpp +++ b/src/Camera.cpp @@ -1,128 +1,128 @@ -#include -#include -#include -using namespace std; - -#include "Camera.h" - -namespace DDG -{ - Camera :: Camera( void ) - : pClick( 1. ), - pDrag( 1. ), - pLast( 1. ), - rLast( 1. ), - momentum( 1. ), - zoom( 1. ) - {} - - Quaternion Camera :: clickToSphere( int x, int y ) - { - GLint viewport[4]; - glGetIntegerv( GL_VIEWPORT, viewport ); - int w = viewport[2]; - int h = viewport[3]; - - Quaternion p( 0., - 2. * (double) x / (double) w - 1., - 2. * (double) y / (double) h - 1., - 0. ); - - if( p.norm2() > 1. ) - { - p.normalize(); - p.im().z = 0.; - } - else - { - p.im().z = sqrt( 1. - p.norm2() ); - } - - return p; - } - - Quaternion Camera :: currentRotation( void ) const - { - return ( pDrag * pClick.conj() ) * rLast; - } - - void Camera :: setView( void ) const - { - Quaternion r = ( pDrag * pClick.conj() ) * rLast; - - double w = r[0]; - double x = r[1]; - double y = r[2]; - double z = r[3]; - - GLdouble M[16] = { - 1.-2.*y*y-2.*z*z, 2.*x*y+2.*w*z, 2.*x*z-2.*w*y, 0., - 2.*x*y-2.*w*z, 1.-2.*x*x-2.*z*z, 2.*y*z+2.*w*x, 0., - 2.*x*z+2.*w*y, 2.*y*z-2.*w*x, 1.-2.*x*x-2.*y*y, 0., - 0., 0., 0., 1. - }; - - glMatrixMode( GL_MODELVIEW ); - glMultMatrixd( M ); - } - - void Camera :: mouse( int button, int state, int x, int y ) - { - if( state == GLUT_DOWN ) - { - pClick = pDrag = pLast = clickToSphere( x, y ); - momentum = 1.; - } - if( state == GLUT_UP ) - { - double timeSinceDrag = ( clock() - tLast ) / (double) CLOCKS_PER_SEC; - - if( timeSinceDrag < .1 ) - { - momentum = pDrag * pLast.conj(); - momentum = ( .03 * momentum + .97 ).unit(); - } - else - { - momentum = 1.; - } - - rLast = pDrag * pClick.conj() * rLast; - pClick = pDrag = 1.; - } - } - - void Camera :: motion( int x, int y ) - { - tLast = clock(); - pLast = pDrag; - pDrag = clickToSphere( x, y ); - } - - void Camera :: idle( void ) - { - // get time since last idle event - static int t0 = clock(); - int t1 = clock(); - double dt = (t1-t0) / (double) CLOCKS_PER_SEC; - - rLast = momentum * rLast; - momentum = ( (1.-.5*dt) * momentum + .5*dt ).unit(); - - zoom += vZoom*dt; - vZoom *= max( 0., 1.-5.*dt ); - - t0 = t1; - } - - void Camera :: zoomIn( void ) - { - vZoom -= 0.5; - } - - void Camera :: zoomOut( void ) - { - vZoom += 0.5; - } -} - +#include +#include +#include +using namespace std; + +#include "Camera.h" + +namespace DDG +{ + Camera :: Camera( void ) + : pClick( 1. ), + pDrag( 1. ), + pLast( 1. ), + rLast( 1. ), + momentum( 1. ), + zoom( 1. ) + {} + + Quaternion Camera :: clickToSphere( int x, int y ) + { + GLint viewport[4]; + glGetIntegerv( GL_VIEWPORT, viewport ); + int w = viewport[2]; + int h = viewport[3]; + + Quaternion p( 0., + 2. * (double) x / (double) w - 1., + 2. * (double) y / (double) h - 1., + 0. ); + + if( p.norm2() > 1. ) + { + p.normalize(); + p.im().z = 0.; + } + else + { + p.im().z = sqrt( 1. - p.norm2() ); + } + + return p; + } + + Quaternion Camera :: currentRotation( void ) const + { + return ( pDrag * pClick.conj() ) * rLast; + } + + void Camera :: setView( void ) const + { + Quaternion r = ( pDrag * pClick.conj() ) * rLast; + + double w = r[0]; + double x = r[1]; + double y = r[2]; + double z = r[3]; + + GLdouble M[16] = { + 1.-2.*y*y-2.*z*z, 2.*x*y+2.*w*z, 2.*x*z-2.*w*y, 0., + 2.*x*y-2.*w*z, 1.-2.*x*x-2.*z*z, 2.*y*z+2.*w*x, 0., + 2.*x*z+2.*w*y, 2.*y*z-2.*w*x, 1.-2.*x*x-2.*y*y, 0., + 0., 0., 0., 1. + }; + + glMatrixMode( GL_MODELVIEW ); + glMultMatrixd( M ); + } + + void Camera :: mouse( int button, int state, int x, int y ) + { + if( state == GLUT_DOWN ) + { + pClick = pDrag = pLast = clickToSphere( x, y ); + momentum = 1.; + } + if( state == GLUT_UP ) + { + double timeSinceDrag = ( clock() - tLast ) / (double) CLOCKS_PER_SEC; + + if( timeSinceDrag < .1 ) + { + momentum = pDrag * pLast.conj(); + momentum = ( .03 * momentum + .97 ).unit(); + } + else + { + momentum = 1.; + } + + rLast = pDrag * pClick.conj() * rLast; + pClick = pDrag = 1.; + } + } + + void Camera :: motion( int x, int y ) + { + tLast = clock(); + pLast = pDrag; + pDrag = clickToSphere( x, y ); + } + + void Camera :: idle( void ) + { + // get time since last idle event + static int t0 = clock(); + int t1 = clock(); + double dt = (t1-t0) / (double) CLOCKS_PER_SEC; + + rLast = momentum * rLast; + momentum = ( (1.-.5*dt) * momentum + .5*dt ).unit(); + + zoom += vZoom*dt; + vZoom *= max( 0., 1.-5.*dt ); + + t0 = t1; + } + + void Camera :: zoomIn( void ) + { + vZoom -= 0.5; + } + + void Camera :: zoomOut( void ) + { + vZoom += 0.5; + } +} + diff --git a/src/Complex.cpp b/src/Complex.cpp index 7a5f5d7..468282d 100644 --- a/src/Complex.cpp +++ b/src/Complex.cpp @@ -1,190 +1,190 @@ -#include "Complex.h" -#include -#include - -using namespace std; - -namespace DDG -{ - Complex::Complex( double a, double b ) - // constructs number a+bi - : re( a ), im( b ) - {} - - void Complex::operator+=( const Complex& z ) - // add z - { - re += z.re; - im += z.im; - } - - void Complex::operator-=( const Complex& z ) - // subtract z - { - re -= z.re; - im -= z.im; - } - - void Complex::operator*=( const Complex& z ) - // Complex multiply by z - { - double a = re; - double b = im; - double c = z.re; - double d = z.im; - - re = a*c-b*d; - im = a*d+b*c; - } - - void Complex::operator*=( double r ) - // scalar multiply by r - { - re *= r; - im *= r; - } - - void Complex::operator/=( double r ) - // scalar divide by r - { - re /= r; - im /= r; - } - - void Complex::operator/=( const Complex& z ) - // scalar divide by r - { - *this *= z.inv(); - } - - Complex Complex::operator-( void ) const - { - return Complex( -re, -im ); - } - - Complex Complex::conj( void ) const - // returns Complex conjugate - { - return Complex( re, -im ); - } - - Complex Complex::inv( void ) const - // returns inverse - { - return this->conj() / this->norm2(); - } - - double Complex::arg( void ) const - // returns argument - { - return atan2( im, re ); - } - - double Complex::norm( void ) const - // returns norm - { - return sqrt( re*re + im*im ); - } - - double Complex::norm2( void ) const - // returns norm squared - { - return re*re + im*im; - } - - Complex Complex::unit( void ) const - // returns complex number with unit norm and same modulus - { - return *this / this->norm(); - } - - Complex exp( const Complex& z ) - // complex exponentiation - { - return ::exp( z.re ) * Complex( cos( z.im ), sin( z.im )); - } - - Complex operator+( const Complex& z1, const Complex& z2 ) - // binary addition - { - Complex z = z1; - z += z2; - return z; - } - - Complex operator-( const Complex& z1, const Complex& z2 ) - // binary subtraction - { - Complex z = z1; - z -= z2; - return z; - } - - Complex operator*( const Complex& z1, const Complex& z2 ) - // binary Complex multiplication - { - Complex z = z1; - z *= z2; - return z; - } - - Complex operator*( const Complex& z, double r ) - // right scalar multiplication - { - Complex zr = z; - zr *= r; - return zr; - } - - Complex operator*( double r, const Complex& z ) - // left scalar multiplication - { - return z*r; - } - - Complex operator/( const Complex& z, double r ) - // scalar division - { - Complex zr = z; - zr /= r; - return zr; - } - - Complex operator/( const Complex& z1, const Complex& z2 ) - // complex division - { - Complex z = z1; - z /= z2; - return z; - } - - double dot( const Complex& z1, const Complex& z2 ) - { - return z1.re*z2.re + z1.im*z2.im; - } - - double cross( const Complex& z1, const Complex& z2 ) - { - return z1.re*z2.im - z1.im*z2.re; - } - - std::ostream& operator<<( std::ostream& os, const Complex& z ) - // prints components - { - if( z.im > 0 ) - { - os << z.re << " + " << z.im << "i"; - } - else if( z.im < 0 ) - { - os << z.re << " - " << -z.im << "i"; - } - else - { - os << z.re; - } - - return os; - } -} - +#include "Complex.h" +#include +#include + +using namespace std; + +namespace DDG +{ + Complex::Complex( double a, double b ) + // constructs number a+bi + : re( a ), im( b ) + {} + + void Complex::operator+=( const Complex& z ) + // add z + { + re += z.re; + im += z.im; + } + + void Complex::operator-=( const Complex& z ) + // subtract z + { + re -= z.re; + im -= z.im; + } + + void Complex::operator*=( const Complex& z ) + // Complex multiply by z + { + double a = re; + double b = im; + double c = z.re; + double d = z.im; + + re = a*c-b*d; + im = a*d+b*c; + } + + void Complex::operator*=( double r ) + // scalar multiply by r + { + re *= r; + im *= r; + } + + void Complex::operator/=( double r ) + // scalar divide by r + { + re /= r; + im /= r; + } + + void Complex::operator/=( const Complex& z ) + // scalar divide by r + { + *this *= z.inv(); + } + + Complex Complex::operator-( void ) const + { + return Complex( -re, -im ); + } + + Complex Complex::conj( void ) const + // returns Complex conjugate + { + return Complex( re, -im ); + } + + Complex Complex::inv( void ) const + // returns inverse + { + return this->conj() / this->norm2(); + } + + double Complex::arg( void ) const + // returns argument + { + return atan2( im, re ); + } + + double Complex::norm( void ) const + // returns norm + { + return sqrt( re*re + im*im ); + } + + double Complex::norm2( void ) const + // returns norm squared + { + return re*re + im*im; + } + + Complex Complex::unit( void ) const + // returns complex number with unit norm and same modulus + { + return *this / this->norm(); + } + + Complex exp( const Complex& z ) + // complex exponentiation + { + return ::exp( z.re ) * Complex( cos( z.im ), sin( z.im )); + } + + Complex operator+( const Complex& z1, const Complex& z2 ) + // binary addition + { + Complex z = z1; + z += z2; + return z; + } + + Complex operator-( const Complex& z1, const Complex& z2 ) + // binary subtraction + { + Complex z = z1; + z -= z2; + return z; + } + + Complex operator*( const Complex& z1, const Complex& z2 ) + // binary Complex multiplication + { + Complex z = z1; + z *= z2; + return z; + } + + Complex operator*( const Complex& z, double r ) + // right scalar multiplication + { + Complex zr = z; + zr *= r; + return zr; + } + + Complex operator*( double r, const Complex& z ) + // left scalar multiplication + { + return z*r; + } + + Complex operator/( const Complex& z, double r ) + // scalar division + { + Complex zr = z; + zr /= r; + return zr; + } + + Complex operator/( const Complex& z1, const Complex& z2 ) + // complex division + { + Complex z = z1; + z /= z2; + return z; + } + + double dot( const Complex& z1, const Complex& z2 ) + { + return z1.re*z2.re + z1.im*z2.im; + } + + double cross( const Complex& z1, const Complex& z2 ) + { + return z1.re*z2.im - z1.im*z2.re; + } + + std::ostream& operator<<( std::ostream& os, const Complex& z ) + // prints components + { + if( z.im > 0 ) + { + os << z.re << " + " << z.im << "i"; + } + else if( z.im < 0 ) + { + os << z.re << " - " << -z.im << "i"; + } + else + { + os << z.re; + } + + return os; + } +} + diff --git a/src/DenseMatrix.cpp b/src/DenseMatrix.cpp index 3d677ad..15ea0f2 100644 --- a/src/DenseMatrix.cpp +++ b/src/DenseMatrix.cpp @@ -1,341 +1,341 @@ -#include "DenseMatrix.h" - -namespace DDG -{ - template <> - cholmod_dense* DenseMatrix :: to_cholmod( void ) - // returns pointer to underlying cholmod_dense data structure - { - if( cData ) - { - cholmod_l_free_dense( &cData, context ); - cData = NULL; - } - - int d = m; // leading dimension - cData = cholmod_l_allocate_dense( m, n, d, CHOLMOD_REAL, context ); - double* x = (double*) cData->x; - - for( int i = 0; i < m*n; i++ ) - { - x[i] = data[i]; - } - - return cData; - } - - template <> - cholmod_dense* DenseMatrix :: to_cholmod( void ) - // returns pointer to underlying cholmod_dense data structure - { - if( cData ) - { - cholmod_l_free_dense( &cData, context ); - cData = NULL; - } - - int d = m; // leading dimension - cData = cholmod_l_allocate_dense( m, n, d, CHOLMOD_COMPLEX, context ); - double* x = (double*) cData->x; - - for( int i = 0; i < m*n; i++ ) - { - x[i*2+0] = data[i].re; - x[i*2+1] = data[i].im; - } - - return cData; - } - - template <> - cholmod_dense* DenseMatrix :: to_cholmod( void ) - // returns pointer to underlying cholmod_dense data structure - { - assert( nColumns() == 1 ); - - if( cData ) - { - cholmod_l_free_dense( &cData, context ); - cData = NULL; - } - - int d = m; // leading dimension - cData = cholmod_l_allocate_dense( m*4, 1, d, CHOLMOD_COMPLEX, context ); - double* x = (double*) cData->x; - - for( int i = 0; i < m*n; i++ ) - { - for( int k = 0; k < 4; k++ ) - { - x[i*4+k] = data[i][k]; - } - } - - return cData; - } - - template <> - const DenseMatrix& DenseMatrix :: operator=( cholmod_dense* B ) - // copies a cholmod_dense* into a DenseMatrix; - // takes responsibility for deallocating B - { - assert( B ); - assert( B->xtype == CHOLMOD_REAL ); - - if( cData ) - { - cholmod_l_free_dense( &cData, context ); - } - cData = B; - - m = cData->nrow; - n = cData->ncol; - data.resize( m*n ); - - double* x = (double*) cData->x; - for( int i = 0; i < m*n; i++ ) - { - data[i] = x[i]; - } - - return *this; - } - - template <> - const DenseMatrix& DenseMatrix :: operator=( cholmod_dense* B ) - // copies a cholmod_dense* into a DenseMatrix; - // takes responsibility for deallocating B - { - assert( B ); - assert( B->xtype == CHOLMOD_COMPLEX ); - - if( cData ) - { - cholmod_l_free_dense( &cData, context ); - } - cData = B; - - m = cData->nrow; - n = cData->ncol; - data.resize( m*n ); - - double* x = (double*) cData->x; - for( int i = 0; i < m*n; i++ ) - { - data[i] = Complex( x[i*2+0], - x[i*2+1] ); - } - - return *this; - } - - template <> - const DenseMatrix& DenseMatrix :: operator=( cholmod_dense* B ) - // copies a cholmod_dense* into a DenseMatrix; - // takes responsibility for deallocating B - { - assert( B ); - assert( B->xtype == CHOLMOD_REAL ); - assert( B->ncol == 1 ); - assert( B->nrow%4 == 0 ); - - if( cData ) - { - cholmod_l_free_dense( &cData, context ); - } - cData = B; - - m = cData->nrow/4; - n = 1; - data.resize( m*n ); - - double* x = (double*) cData->x; - for( int i = 0; i < m; i++ ) - { - data[i] = Quaternion( x[i*4+0], - x[i*4+1], - x[i*4+2], - x[i*4+3] ); - } - - return *this; - } - - template <> - std::ostream& operator<< (std::ostream& os, const DenseMatrix& o) - { - const int p = 16; - os.precision( p ); - os << fixed; - - os << "{"; - for( int i = 0; i < o.nRows(); i++ ) - { - os << "{"; - for( int j = 0; j < o.nColumns()-1; j++ ) - { - double x = o(i,j); - os << " " << x << ","; - } - os << o(i,o.nColumns()-1) << "},"; - } - os << "};"; - return os; - } - -// template <> -// std::ostream& operator<< (std::ostream& os, const DenseMatrix& o) -// { -// const int p = 3; -// os.precision( p ); -// os << scientific; - -// for( int i = 0; i < o.nRows(); i++ ) -// { -// os << "[ "; -// for( int j = 0; j < o.nColumns(); j++ ) -// { -// double x = o(i,j); - -// if( x == 0. ) -// { -// os << " 0"; -// for( int k = 0; k < p+6; k++ ) -// { -// os << " "; -// } -// } -// else if( x > 0. ) -// { -// os << " " << x << " "; -// } -// else -// { -// os << x << " "; -// } -// } -// os << "]" << endl; -// } - -// return os; -// } - - template <> - std::ostream& operator<< (std::ostream& os, const DenseMatrix& o) - { - const int p = 2; - os.precision( p ); - os << scientific; - - for( int i = 0; i < o.nRows(); i++ ) - { - os << "[ "; - for( int j = 0; j < o.nColumns(); j++ ) - { - Complex z = o(i,j); - - if( z.re == 0. ) - { - os << " 0"; - for( int k = 0; k < p+5; k++ ) - { - os << " "; - } - } - else if( z.re > 0. ) - { - os << " " << z.re; - } - else - { - os << z.re; - } - - if( z.im == 0 ) - { - os << " "; - } - else if( z.im >= 0 ) - { - os << "+"; - } - else - { - os << "-"; - } - - if( z.im == 0. ) - { - for( int k = 0; k < p+8; k++ ) - { - os << " "; - } - } - else - { - os << abs( z.im ) << "i "; - } - } - os << " ]" << endl; - } - - return os; - } - - template <> - std::ostream& operator<< (std::ostream& os, const DenseMatrix& o) - { - const int p = 2; - os.precision( p ); - os << scientific; - - for( int i = 0; i < o.nRows(); i++ ) - { - os << "["; - for( int j = 0; j < o.nColumns(); j++ ) - { - Quaternion q = o(i,j); - - os << " " << q; - } - os << " ]" << endl; - } - - return os; - } - - template <> - void DenseMatrix :: randomize( void ) - // replaces entries with uniformly distributed real random numbers in the interval [-1,1] - { - for( int i = 0; i < m*n; i++ ) - { - data[i] = 2.*unitRand() - 1.; - } - } - - template <> - void DenseMatrix :: randomize( void ) - // replaces entries with uniformly distributed real random numbers in the interval [-1,1] - { - for( int i = 0; i < m*n; i++ ) - { - data[i].re = 2.*unitRand() - 1.; - data[i].im = 2.*unitRand() - 1.; - } - } - - template <> - void DenseMatrix :: randomize( void ) - // replaces entries with uniformly distributed real random numbers in the interval [-1,1] - { - for( int i = 0; i < m*n; i++ ) - { - for( int k = 0; k < 4; k++ ) - { - data[i][k] = 2.*unitRand() - 1.; - } - } - } -} - +#include "DenseMatrix.h" + +namespace DDG +{ + template <> + cholmod_dense* DenseMatrix :: to_cholmod( void ) + // returns pointer to underlying cholmod_dense data structure + { + if( cData ) + { + cholmod_l_free_dense( &cData, context ); + cData = NULL; + } + + int d = m; // leading dimension + cData = cholmod_l_allocate_dense( m, n, d, CHOLMOD_REAL, context ); + double* x = (double*) cData->x; + + for( int i = 0; i < m*n; i++ ) + { + x[i] = data[i]; + } + + return cData; + } + + template <> + cholmod_dense* DenseMatrix :: to_cholmod( void ) + // returns pointer to underlying cholmod_dense data structure + { + if( cData ) + { + cholmod_l_free_dense( &cData, context ); + cData = NULL; + } + + int d = m; // leading dimension + cData = cholmod_l_allocate_dense( m, n, d, CHOLMOD_COMPLEX, context ); + double* x = (double*) cData->x; + + for( int i = 0; i < m*n; i++ ) + { + x[i*2+0] = data[i].re; + x[i*2+1] = data[i].im; + } + + return cData; + } + + template <> + cholmod_dense* DenseMatrix :: to_cholmod( void ) + // returns pointer to underlying cholmod_dense data structure + { + assert( nColumns() == 1 ); + + if( cData ) + { + cholmod_l_free_dense( &cData, context ); + cData = NULL; + } + + int d = m; // leading dimension + cData = cholmod_l_allocate_dense( m*4, 1, d, CHOLMOD_COMPLEX, context ); + double* x = (double*) cData->x; + + for( int i = 0; i < m*n; i++ ) + { + for( int k = 0; k < 4; k++ ) + { + x[i*4+k] = data[i][k]; + } + } + + return cData; + } + + template <> + const DenseMatrix& DenseMatrix :: operator=( cholmod_dense* B ) + // copies a cholmod_dense* into a DenseMatrix; + // takes responsibility for deallocating B + { + assert( B ); + assert( B->xtype == CHOLMOD_REAL ); + + if( cData ) + { + cholmod_l_free_dense( &cData, context ); + } + cData = B; + + m = cData->nrow; + n = cData->ncol; + data.resize( m*n ); + + double* x = (double*) cData->x; + for( int i = 0; i < m*n; i++ ) + { + data[i] = x[i]; + } + + return *this; + } + + template <> + const DenseMatrix& DenseMatrix :: operator=( cholmod_dense* B ) + // copies a cholmod_dense* into a DenseMatrix; + // takes responsibility for deallocating B + { + assert( B ); + assert( B->xtype == CHOLMOD_COMPLEX ); + + if( cData ) + { + cholmod_l_free_dense( &cData, context ); + } + cData = B; + + m = cData->nrow; + n = cData->ncol; + data.resize( m*n ); + + double* x = (double*) cData->x; + for( int i = 0; i < m*n; i++ ) + { + data[i] = Complex( x[i*2+0], + x[i*2+1] ); + } + + return *this; + } + + template <> + const DenseMatrix& DenseMatrix :: operator=( cholmod_dense* B ) + // copies a cholmod_dense* into a DenseMatrix; + // takes responsibility for deallocating B + { + assert( B ); + assert( B->xtype == CHOLMOD_REAL ); + assert( B->ncol == 1 ); + assert( B->nrow%4 == 0 ); + + if( cData ) + { + cholmod_l_free_dense( &cData, context ); + } + cData = B; + + m = cData->nrow/4; + n = 1; + data.resize( m*n ); + + double* x = (double*) cData->x; + for( int i = 0; i < m; i++ ) + { + data[i] = Quaternion( x[i*4+0], + x[i*4+1], + x[i*4+2], + x[i*4+3] ); + } + + return *this; + } + + template <> + std::ostream& operator<< (std::ostream& os, const DenseMatrix& o) + { + const int p = 16; + os.precision( p ); + os << fixed; + + os << "{"; + for( int i = 0; i < o.nRows(); i++ ) + { + os << "{"; + for( int j = 0; j < o.nColumns()-1; j++ ) + { + double x = o(i,j); + os << " " << x << ","; + } + os << o(i,o.nColumns()-1) << "},"; + } + os << "};"; + return os; + } + +// template <> +// std::ostream& operator<< (std::ostream& os, const DenseMatrix& o) +// { +// const int p = 3; +// os.precision( p ); +// os << scientific; + +// for( int i = 0; i < o.nRows(); i++ ) +// { +// os << "[ "; +// for( int j = 0; j < o.nColumns(); j++ ) +// { +// double x = o(i,j); + +// if( x == 0. ) +// { +// os << " 0"; +// for( int k = 0; k < p+6; k++ ) +// { +// os << " "; +// } +// } +// else if( x > 0. ) +// { +// os << " " << x << " "; +// } +// else +// { +// os << x << " "; +// } +// } +// os << "]" << endl; +// } + +// return os; +// } + + template <> + std::ostream& operator<< (std::ostream& os, const DenseMatrix& o) + { + const int p = 2; + os.precision( p ); + os << scientific; + + for( int i = 0; i < o.nRows(); i++ ) + { + os << "[ "; + for( int j = 0; j < o.nColumns(); j++ ) + { + Complex z = o(i,j); + + if( z.re == 0. ) + { + os << " 0"; + for( int k = 0; k < p+5; k++ ) + { + os << " "; + } + } + else if( z.re > 0. ) + { + os << " " << z.re; + } + else + { + os << z.re; + } + + if( z.im == 0 ) + { + os << " "; + } + else if( z.im >= 0 ) + { + os << "+"; + } + else + { + os << "-"; + } + + if( z.im == 0. ) + { + for( int k = 0; k < p+8; k++ ) + { + os << " "; + } + } + else + { + os << abs( z.im ) << "i "; + } + } + os << " ]" << endl; + } + + return os; + } + + template <> + std::ostream& operator<< (std::ostream& os, const DenseMatrix& o) + { + const int p = 2; + os.precision( p ); + os << scientific; + + for( int i = 0; i < o.nRows(); i++ ) + { + os << "["; + for( int j = 0; j < o.nColumns(); j++ ) + { + Quaternion q = o(i,j); + + os << " " << q; + } + os << " ]" << endl; + } + + return os; + } + + template <> + void DenseMatrix :: randomize( void ) + // replaces entries with uniformly distributed real random numbers in the interval [-1,1] + { + for( int i = 0; i < m*n; i++ ) + { + data[i] = 2.*unitRand() - 1.; + } + } + + template <> + void DenseMatrix :: randomize( void ) + // replaces entries with uniformly distributed real random numbers in the interval [-1,1] + { + for( int i = 0; i < m*n; i++ ) + { + data[i].re = 2.*unitRand() - 1.; + data[i].im = 2.*unitRand() - 1.; + } + } + + template <> + void DenseMatrix :: randomize( void ) + // replaces entries with uniformly distributed real random numbers in the interval [-1,1] + { + for( int i = 0; i < m*n; i++ ) + { + for( int k = 0; k < 4; k++ ) + { + data[i][k] = 2.*unitRand() - 1.; + } + } + } +} + diff --git a/src/DenseMatrix.inl b/src/DenseMatrix.inl index 87ebe56..ee69fa3 100644 --- a/src/DenseMatrix.inl +++ b/src/DenseMatrix.inl @@ -1,382 +1,382 @@ -#include -#include - -#include -#include -using namespace std; - -#include "DenseMatrix.h" -#include "LinearContext.h" -#include "Quaternion.h" -#include "SparseMatrix.h" -#include "Utility.h" - -namespace DDG -{ - extern LinearContext context; - - template - DenseMatrix :: DenseMatrix( int m_, int n_ ) - // initialize an mxn matrix - : m( m_ ), - n( n_ ), - cData( NULL ) - { - data.resize( m*n ); - zero(); - } - - template - DenseMatrix :: DenseMatrix( const DenseMatrix& A ) - // copy constructor - : cData( NULL ) - { - *this = A; - } - - template - DenseMatrix :: ~DenseMatrix( void ) - // destructor - { - if( cData != NULL ) - { - cholmod_l_free_dense( &cData, context ); - } - } - - template - DenseMatrix DenseMatrix :: transpose( void ) const - { - const DenseMatrix& A( *this ); - DenseMatrix AT( n, m ); - - for( int i = 0; i < n; i++ ) - for( int j = 0; j < m; j++ ) - { - AT(i,j) = A(j,i).conj(); - } - - return AT; - } - - template - SparseMatrix DenseMatrix::sparse( void ) - // converts to a sparse matrix - { - SparseMatrix B; - - B = cholmod_l_dense_to_sparse( this->to_cholmod(), true, context ); - - return B; - } - - template - DenseMatrix DenseMatrix :: operator*( const DenseMatrix& B ) const - // returns product of this matrix with B - { - const DenseMatrix& A( *this ); - - // make sure matrix dimensions agree - assert( A.nColumns() == B.nRows() ); - - DenseMatrix AB( A.nRows(), B.nColumns() ); - - for( int i = 0; i < A.nRows(); i++ ) - for( int j = 0; j < B.nColumns(); j++ ) - for( int k = 0; k < A.nColumns(); k++ ) - { - AB( i, j ) += A( i, k ) * B( k, j ); - } - - return AB; - } - - template - void DenseMatrix :: operator*=( const T& c ) - { - DenseMatrix& A( *this ); - - for( int i = 0; i < m; i++ ) - for( int j = 0; j < n; j++ ) - { - A(i,j) *= c; - } - } - - template - void DenseMatrix :: operator/=( const T& c ) - { - DenseMatrix& A( *this ); - - for( int i = 0; i < m; i++ ) - for( int j = 0; j < n; j++ ) - { - A(i,j) /= c; - } - } - - template - DenseMatrix DenseMatrix :: operator+( const DenseMatrix& B ) const - // returns sum of this matrix with B - { - const DenseMatrix& A( *this ); - - // make sure matrix dimensions agree - assert( A.nRows() == B.nRows() ); - assert( A.nColumns() == B.nColumns() ); - - DenseMatrix C( nRows(), nColumns() ); - - for( int i = 0; i < nRows(); i++ ) - for( int j = 0; j < nColumns(); j++ ) - { - C(i,j) = A(i,j) + B(i,j); - } - - return C; - } - - template - void DenseMatrix :: operator+=( const DenseMatrix& B ) - { - DenseMatrix& A( *this ); - - // make sure matrix dimensions agree - assert( A.nRows() == B.nRows() ); - assert( A.nColumns() == B.nColumns() ); - - for( int i = 0; i < nRows(); i++ ) - for( int j = 0; j < nColumns(); j++ ) - { - A(i,j) += B(i,j); - } - } - - template - DenseMatrix DenseMatrix :: operator-( const DenseMatrix& B ) const - // returns difference of this matrix with B - { - const DenseMatrix& A( *this ); - - // make sure matrix dimensions agree - assert( A.nRows() == B.nRows() ); - assert( A.nColumns() == B.nColumns() ); - - DenseMatrix C( nRows(), nColumns() ); - - for( int i = 0; i < nRows(); i++ ) - for( int j = 0; j < nColumns(); j++ ) - { - C(i,j) = A(i,j) - B(i,j); - } - - return C; - } - - template - void DenseMatrix :: operator-=( const DenseMatrix& B ) - { - DenseMatrix& A( *this ); - - // make sure matrix dimensions agree - assert( A.nRows() == B.nRows() ); - assert( A.nColumns() == B.nColumns() ); - - for( int i = 0; i < nRows(); i++ ) - for( int j = 0; j < nColumns(); j++ ) - { - A(i,j) -= B(i,j); - } - } - - template - DenseMatrix operator*( const T& c, const DenseMatrix& A ) - { - DenseMatrix cA = A; - - cA *= c; - - return cA; - } - - template - DenseMatrix operator*( const DenseMatrix& A, double c ) - { - return c*A; - } - - template - DenseMatrix operator/( const DenseMatrix& A, double c ) - { - DenseMatrix Ac = A; - - Ac /= c; - - return Ac; - } - - template - const DenseMatrix& DenseMatrix :: operator=( const DenseMatrix& B ) - // copies B - { - if( cData ) - { - cholmod_l_free_dense( &cData, context ); - cData = NULL; - } - - m = B.m; - n = B.n; - data = B.data; - - return *this; - } - - template - int DenseMatrix :: nRows( void ) const - // returns the number of rows - { - return m; - } - - template - int DenseMatrix :: nColumns( void ) const - // returns the number of columns - { - return n; - } - - template - int DenseMatrix :: length( void ) const - // returns the size of the largest dimension - { - return max( m, n ); - } - - template - void DenseMatrix :: zero( const T& val ) - // sets all elements to val - { - for( int i = 0; i < m*n; i++ ) - { - data[i] = val; - } - } - - template - double DenseMatrix :: norm( void ) const - // returns the maximum magnitude of any entry - { - double maxNorm = 0.; - - for( int i = 0; i < m*n; i++ ) - { - maxNorm = max( maxNorm, data[i].norm() ); - } - - return maxNorm; - } - - template - T& DenseMatrix :: operator()( int row, int col ) - { - assert( 0 <= row && row < m && 0 <= col && col < n ); - return data[row+m*col]; - } - - template - T DenseMatrix :: operator()( int row, int col ) const - { - assert( 0 <= row && row < m && 0 <= col && col < n ); - return data[row+m*col]; - } - - template - T& DenseMatrix :: operator()( int index ) - { - assert( 0 <= index && index < m*n ); - return data[index]; - } - - template - T DenseMatrix :: operator()( int index ) const - { - assert( 0 <= index && index < m*n ); - return data[index]; - } - - template - void DenseMatrix::normalize( void ) - { - double rFrobeniusNorm = 0.; - - for( int i = 0; i < m*n; i++ ) - { - rFrobeniusNorm += data[i].norm2(); - } - - rFrobeniusNorm = 1./sqrt( rFrobeniusNorm ); - - for( int i = 0; i < m*n; i++ ) - { - data[i] *= rFrobeniusNorm; - } - } - - template - T DenseMatrix::sum( void ) const - // returns the sum of all entries - { - T total( 0., 0. ); - - for( int i = 0; i < m*n; i++ ) - { - total += data[i]; - } - - return total; - } - - template - void DenseMatrix :: removeMean( void ) - { - T mean = 0.; - int N = m*n; - - for( int i = 0; i < N; i++ ) - { - mean += data[i]; - } - - mean /= (double) N; - - for( int i = 0; i < N; i++ ) - { - data[i] -= mean; - } - } - - template - double dot( const DenseMatrix& x, const DenseMatrix& y ) - // returns Euclidean inner product of x and y - { - return ( x.transpose() * y )(0); - } - - template - DenseMatrix DenseMatrix::operator-( void ) const - // returns additive inverse of this matrix - { - const DenseMatrix& A( *this ); - DenseMatrix B( m, n ); - - for( int i = 0; i < m; i++ ) - for( int j = 0; j < n; j++ ) - { - B( i, j ) = -A( i, j ); - } - - return B; - } -} - +#include +#include + +#include +#include +using namespace std; + +#include "DenseMatrix.h" +#include "LinearContext.h" +#include "Quaternion.h" +#include "SparseMatrix.h" +#include "Utility.h" + +namespace DDG +{ + extern LinearContext context; + + template + DenseMatrix :: DenseMatrix( int m_, int n_ ) + // initialize an mxn matrix + : m( m_ ), + n( n_ ), + cData( NULL ) + { + data.resize( m*n ); + zero(); + } + + template + DenseMatrix :: DenseMatrix( const DenseMatrix& A ) + // copy constructor + : cData( NULL ) + { + *this = A; + } + + template + DenseMatrix :: ~DenseMatrix( void ) + // destructor + { + if( cData != NULL ) + { + cholmod_l_free_dense( &cData, context ); + } + } + + template + DenseMatrix DenseMatrix :: transpose( void ) const + { + const DenseMatrix& A( *this ); + DenseMatrix AT( n, m ); + + for( int i = 0; i < n; i++ ) + for( int j = 0; j < m; j++ ) + { + AT(i,j) = A(j,i).conj(); + } + + return AT; + } + + template + SparseMatrix DenseMatrix::sparse( void ) + // converts to a sparse matrix + { + SparseMatrix B; + + B = cholmod_l_dense_to_sparse( this->to_cholmod(), true, context ); + + return B; + } + + template + DenseMatrix DenseMatrix :: operator*( const DenseMatrix& B ) const + // returns product of this matrix with B + { + const DenseMatrix& A( *this ); + + // make sure matrix dimensions agree + assert( A.nColumns() == B.nRows() ); + + DenseMatrix AB( A.nRows(), B.nColumns() ); + + for( int i = 0; i < A.nRows(); i++ ) + for( int j = 0; j < B.nColumns(); j++ ) + for( int k = 0; k < A.nColumns(); k++ ) + { + AB( i, j ) += A( i, k ) * B( k, j ); + } + + return AB; + } + + template + void DenseMatrix :: operator*=( const T& c ) + { + DenseMatrix& A( *this ); + + for( int i = 0; i < m; i++ ) + for( int j = 0; j < n; j++ ) + { + A(i,j) *= c; + } + } + + template + void DenseMatrix :: operator/=( const T& c ) + { + DenseMatrix& A( *this ); + + for( int i = 0; i < m; i++ ) + for( int j = 0; j < n; j++ ) + { + A(i,j) /= c; + } + } + + template + DenseMatrix DenseMatrix :: operator+( const DenseMatrix& B ) const + // returns sum of this matrix with B + { + const DenseMatrix& A( *this ); + + // make sure matrix dimensions agree + assert( A.nRows() == B.nRows() ); + assert( A.nColumns() == B.nColumns() ); + + DenseMatrix C( nRows(), nColumns() ); + + for( int i = 0; i < nRows(); i++ ) + for( int j = 0; j < nColumns(); j++ ) + { + C(i,j) = A(i,j) + B(i,j); + } + + return C; + } + + template + void DenseMatrix :: operator+=( const DenseMatrix& B ) + { + DenseMatrix& A( *this ); + + // make sure matrix dimensions agree + assert( A.nRows() == B.nRows() ); + assert( A.nColumns() == B.nColumns() ); + + for( int i = 0; i < nRows(); i++ ) + for( int j = 0; j < nColumns(); j++ ) + { + A(i,j) += B(i,j); + } + } + + template + DenseMatrix DenseMatrix :: operator-( const DenseMatrix& B ) const + // returns difference of this matrix with B + { + const DenseMatrix& A( *this ); + + // make sure matrix dimensions agree + assert( A.nRows() == B.nRows() ); + assert( A.nColumns() == B.nColumns() ); + + DenseMatrix C( nRows(), nColumns() ); + + for( int i = 0; i < nRows(); i++ ) + for( int j = 0; j < nColumns(); j++ ) + { + C(i,j) = A(i,j) - B(i,j); + } + + return C; + } + + template + void DenseMatrix :: operator-=( const DenseMatrix& B ) + { + DenseMatrix& A( *this ); + + // make sure matrix dimensions agree + assert( A.nRows() == B.nRows() ); + assert( A.nColumns() == B.nColumns() ); + + for( int i = 0; i < nRows(); i++ ) + for( int j = 0; j < nColumns(); j++ ) + { + A(i,j) -= B(i,j); + } + } + + template + DenseMatrix operator*( const T& c, const DenseMatrix& A ) + { + DenseMatrix cA = A; + + cA *= c; + + return cA; + } + + template + DenseMatrix operator*( const DenseMatrix& A, double c ) + { + return c*A; + } + + template + DenseMatrix operator/( const DenseMatrix& A, double c ) + { + DenseMatrix Ac = A; + + Ac /= c; + + return Ac; + } + + template + const DenseMatrix& DenseMatrix :: operator=( const DenseMatrix& B ) + // copies B + { + if( cData ) + { + cholmod_l_free_dense( &cData, context ); + cData = NULL; + } + + m = B.m; + n = B.n; + data = B.data; + + return *this; + } + + template + int DenseMatrix :: nRows( void ) const + // returns the number of rows + { + return m; + } + + template + int DenseMatrix :: nColumns( void ) const + // returns the number of columns + { + return n; + } + + template + int DenseMatrix :: length( void ) const + // returns the size of the largest dimension + { + return max( m, n ); + } + + template + void DenseMatrix :: zero( const T& val ) + // sets all elements to val + { + for( int i = 0; i < m*n; i++ ) + { + data[i] = val; + } + } + + template + double DenseMatrix :: norm( void ) const + // returns the maximum magnitude of any entry + { + double maxNorm = 0.; + + for( int i = 0; i < m*n; i++ ) + { + maxNorm = max( maxNorm, data[i].norm() ); + } + + return maxNorm; + } + + template + T& DenseMatrix :: operator()( int row, int col ) + { + assert( 0 <= row && row < m && 0 <= col && col < n ); + return data[row+m*col]; + } + + template + T DenseMatrix :: operator()( int row, int col ) const + { + assert( 0 <= row && row < m && 0 <= col && col < n ); + return data[row+m*col]; + } + + template + T& DenseMatrix :: operator()( int index ) + { + assert( 0 <= index && index < m*n ); + return data[index]; + } + + template + T DenseMatrix :: operator()( int index ) const + { + assert( 0 <= index && index < m*n ); + return data[index]; + } + + template + void DenseMatrix::normalize( void ) + { + double rFrobeniusNorm = 0.; + + for( int i = 0; i < m*n; i++ ) + { + rFrobeniusNorm += data[i].norm2(); + } + + rFrobeniusNorm = 1./sqrt( rFrobeniusNorm ); + + for( int i = 0; i < m*n; i++ ) + { + data[i] *= rFrobeniusNorm; + } + } + + template + T DenseMatrix::sum( void ) const + // returns the sum of all entries + { + T total( 0., 0. ); + + for( int i = 0; i < m*n; i++ ) + { + total += data[i]; + } + + return total; + } + + template + void DenseMatrix :: removeMean( void ) + { + T mean = 0.; + int N = m*n; + + for( int i = 0; i < N; i++ ) + { + mean += data[i]; + } + + mean /= (double) N; + + for( int i = 0; i < N; i++ ) + { + data[i] -= mean; + } + } + + template + double dot( const DenseMatrix& x, const DenseMatrix& y ) + // returns Euclidean inner product of x and y + { + return ( x.transpose() * y )(0); + } + + template + DenseMatrix DenseMatrix::operator-( void ) const + // returns additive inverse of this matrix + { + const DenseMatrix& A( *this ); + DenseMatrix B( m, n ); + + for( int i = 0; i < m; i++ ) + for( int j = 0; j < n; j++ ) + { + B( i, j ) = -A( i, j ); + } + + return B; + } +} + diff --git a/src/Edge.cpp b/src/Edge.cpp index 2788547..ce203b0 100644 --- a/src/Edge.cpp +++ b/src/Edge.cpp @@ -1,18 +1,18 @@ -#include "Edge.h" -#include "Mesh.h" -#include "HalfEdge.h" - -namespace DDG -{ - // only needed for old code - const Vector Edge::Xvector( void ) const { - return X()->next->vertex->position - X()->vertex->position; - } - - // standard cotan Laplace coeff for this edge - const double Edge::cot( void ) const { - return .5 * ( ( he->onBoundary ? 0 : he->cot() ) + - ( he->flip->onBoundary ? 0 : he->flip->cot() ) ); - } -} - +#include "Edge.h" +#include "Mesh.h" +#include "HalfEdge.h" + +namespace DDG +{ + // only needed for old code + const Vector Edge::Xvector( void ) const { + return X()->next->vertex->position - X()->vertex->position; + } + + // standard cotan Laplace coeff for this edge + const double Edge::cot( void ) const { + return .5 * ( ( he->onBoundary ? 0 : he->cot() ) + + ( he->flip->onBoundary ? 0 : he->flip->cot() ) ); + } +} + diff --git a/src/Face.cpp b/src/Face.cpp index a6762cc..3fa74f0 100644 --- a/src/Face.cpp +++ b/src/Face.cpp @@ -1,203 +1,203 @@ -#include "Face.h" -#include "Mesh.h" -#include "Vector.h" -#include "Utility.h" -#include -#include -#include - -using namespace std; - -namespace DDG -{ - // unit normal - void Face::updateNormal( void ) - { - normal = Anormal.unit(); - } - - // area weighted normal - void Face::updateANormal( void ) - { - assert( he->next->next->next == he ); // assuming triangles - - const Vector p0 = he->vertex->position, - p1 = he->next->vertex->position, - p2 = he->next->next->vertex->position; - - Anormal = cross( p1-p0, p2-p0 )/2; - } - - double Face::area( void ) const - { - return Anormal.norm(); - } - - // mean of vertex coordinates - Vector Face::barycenter( void ) const - { - Vector c( 0., 0., 0. ); - double n = 0.; - - HalfEdgeCIter h = he; - do - { - c += h->vertex->position; - n += 1.; - h = h->next; - } - while( h != he ); - - return c/n; - } - - // PS only needed by old code and dual code - // return the 3-space vector corresponding to the distinguised direction - const Vector Face::Xvector( void ) const { - return X()->next->vertex->position - X()->vertex->position; - } - - bool Face::isBoundary( void ) const { return he->onBoundary; } - - // which of the 3 possible choices is v? (used to figure out whether - // a given vertex is i, j, or k (so to speak) - unsigned int Face::i( const VertexCIter v ) const{ - const VertexCIter v0 = he->vertex, v1 = he->next->vertex, v2 = he->next->next->vertex; - return v == v0 ? 0 : ( v == v1 ? 1 : ( assert( v == v2 ), 2 ) ); - } - - void Face::InitAreaAnglesAngleSums( void ){ - assert( !isBoundary() ); - assert( he->next->next->next == he ); // assuming triangles - - // masses - A = Anormal.norm(); - - // compute Euclidean angles and add to three corner slots - const VertexIter vi = he->vertex, vj = he->next->vertex, vk = he->next->next->vertex; - const Vector pi = vi->position, pj = vj->position, pk = vk->position; - // normalized edges - const Vector tij = pj-pi, tjk = pk-pj, tki = pi-pk; - const double sinT = 2*A; - vi->s += ( alpha[0] = atan2( sinT, -dot( tij, tki ) ) ); - vj->s += ( alpha[1] = atan2( sinT, -dot( tjk, tij ) ) ); - vk->s += ( alpha[2] = atan2( sinT, -dot( tki, tjk ) ) ); - } - - double Face::K( void ) const{ - const VertexCIter vi = he->vertex, vj = he->next->vertex, vk = he->next->next->vertex; - return alpha[0] * ( vi->s - 1 ) + alpha[1] * ( vj->s - 1 ) + alpha[2] * ( vk->s - 1 ); - } - - Vector Face :: sampleUniform( void ) const - { - // [This subroutine dedicated to Jim Arvo.] - - // Compute the warping function (xi1,xi2) -> (s,t). - double xi1 = unitRand(); - double xi2 = unitRand(); - double s = sqrt( xi1 ); - double t = xi2; - - // Plug the warped coords into the original parameterization. - Vector A( 1., 0., 0. ); - Vector B( 0., 1., 0. ); - Vector C( 0., 0., 1. ); - Vector P = (1.-s)*A + s*(1.-t)*B + s*t*C; - - return P; - } - - Vector Face::sampleField( const Vector& p, double n ) const - { - using namespace DDGConstants; - - // TODO handle singular faces - - // get incident halfedges - const HalfEdgeCIter h[3] = { - he, - he->next, - he->next->next - }; - - // get transport angles along each edge // REMOVE w - Vector r( fmodPI(n*(h[0]->r()+h[0]->w())), - fmodPI(n*(h[1]->r()+h[1]->w())), - fmodPI(n*(h[2]->r()+h[2]->w())) ); - - // compute associated total curvature for the triangle - double Omega = r[0] + r[1] + r[2]; - - // compute the right-hand side y - Vector y = Omega*p - r; - - // compute the transport angles from each vertex to p - Vector x( y[2] - y[0], - y[0] - y[1], - y[1] - y[2] ); - x /= 3.; - - // // get field vectors - // Vector N = normal(); - // Quaternion Z[3]; - // for( int i = 0; i < 3; i++ ) - // { - // Z[i] = h[i]->vertex->kVec(); - // double a = Z[i].norm(); - // Z[i].im() -= dot(Z[i].im(),N)*N; - // Z[i].normalize(); - // Z[i] *= a; - // } - - // get field vectors - Vector N = normal; - Quaternion Z[3]; - for( int i = 0; i < 3; i++ ) - { - HalfEdgeCIter X = h[i]->vertex->X(); - double s = h[i]->vertex->s; - double theta = 0.; - HalfEdgeCIter Y = h[i]; - do - { - Y = Y->flip->next; - theta += Y->cornerAngle() * s; - } - while( Y->flip->next != X ); - - double phi = h[i]->vertex->u.arg() - theta; - double a = h[i]->vertex->u.norm(); - Quaternion w = ( h[i]->flip->vertex->position - - h[i]->vertex->position ).unit(); - Quaternion q( cos(phi/2.), sin(phi/2.)*N ); - Z[i] = a * (q*w*q.conj()).im(); - } - - // compute in-plane rotations by each transport angle - Quaternion q[3]; - q[0] = Quaternion( cos(x[0]/2.), -sin(x[0]/2.)*N ); - q[1] = Quaternion( cos(x[1]/2.), -sin(x[1]/2.)*N ); - q[2] = Quaternion( cos(x[2]/2.), -sin(x[2]/2.)*N ); - - - // transport field vectors from vertices to p - Quaternion Zp = p[0]*( q[0].conj()*Z[0]*q[0] ) + - p[1]*( q[1].conj()*Z[1]*q[1] ) + - p[2]*( q[2].conj()*Z[2]*q[2] ) ; - - return Zp.im(); - } - - Vector Face :: toWorldCoordinates( const Vector& b ) const - { - Vector pi = he->vertex->position; - Vector pj = he->next->vertex->position; - Vector pk = he->next->next->vertex->position; - - return b[0]*pi + - b[1]*pj + - b[2]*pk ; - } -} - +#include "Face.h" +#include "Mesh.h" +#include "Vector.h" +#include "Utility.h" +#include +#include +#include + +using namespace std; + +namespace DDG +{ + // unit normal + void Face::updateNormal( void ) + { + normal = Anormal.unit(); + } + + // area weighted normal + void Face::updateANormal( void ) + { + assert( he->next->next->next == he ); // assuming triangles + + const Vector p0 = he->vertex->position, + p1 = he->next->vertex->position, + p2 = he->next->next->vertex->position; + + Anormal = cross( p1-p0, p2-p0 )/2; + } + + double Face::area( void ) const + { + return Anormal.norm(); + } + + // mean of vertex coordinates + Vector Face::barycenter( void ) const + { + Vector c( 0., 0., 0. ); + double n = 0.; + + HalfEdgeCIter h = he; + do + { + c += h->vertex->position; + n += 1.; + h = h->next; + } + while( h != he ); + + return c/n; + } + + // PS only needed by old code and dual code + // return the 3-space vector corresponding to the distinguised direction + const Vector Face::Xvector( void ) const { + return X()->next->vertex->position - X()->vertex->position; + } + + bool Face::isBoundary( void ) const { return he->onBoundary; } + + // which of the 3 possible choices is v? (used to figure out whether + // a given vertex is i, j, or k (so to speak) + unsigned int Face::i( const VertexCIter v ) const{ + const VertexCIter v0 = he->vertex, v1 = he->next->vertex, v2 = he->next->next->vertex; + return v == v0 ? 0 : ( v == v1 ? 1 : ( assert( v == v2 ), 2 ) ); + } + + void Face::InitAreaAnglesAngleSums( void ){ + assert( !isBoundary() ); + assert( he->next->next->next == he ); // assuming triangles + + // masses + A = Anormal.norm(); + + // compute Euclidean angles and add to three corner slots + const VertexIter vi = he->vertex, vj = he->next->vertex, vk = he->next->next->vertex; + const Vector pi = vi->position, pj = vj->position, pk = vk->position; + // normalized edges + const Vector tij = pj-pi, tjk = pk-pj, tki = pi-pk; + const double sinT = 2*A; + vi->s += ( alpha[0] = atan2( sinT, -dot( tij, tki ) ) ); + vj->s += ( alpha[1] = atan2( sinT, -dot( tjk, tij ) ) ); + vk->s += ( alpha[2] = atan2( sinT, -dot( tki, tjk ) ) ); + } + + double Face::K( void ) const{ + const VertexCIter vi = he->vertex, vj = he->next->vertex, vk = he->next->next->vertex; + return alpha[0] * ( vi->s - 1 ) + alpha[1] * ( vj->s - 1 ) + alpha[2] * ( vk->s - 1 ); + } + + Vector Face :: sampleUniform( void ) const + { + // [This subroutine dedicated to Jim Arvo.] + + // Compute the warping function (xi1,xi2) -> (s,t). + double xi1 = unitRand(); + double xi2 = unitRand(); + double s = sqrt( xi1 ); + double t = xi2; + + // Plug the warped coords into the original parameterization. + Vector A( 1., 0., 0. ); + Vector B( 0., 1., 0. ); + Vector C( 0., 0., 1. ); + Vector P = (1.-s)*A + s*(1.-t)*B + s*t*C; + + return P; + } + + Vector Face::sampleField( const Vector& p, double n ) const + { + using namespace DDGConstants; + + // TODO handle singular faces + + // get incident halfedges + const HalfEdgeCIter h[3] = { + he, + he->next, + he->next->next + }; + + // get transport angles along each edge // REMOVE w + Vector r( fmodPI(n*(h[0]->r()+h[0]->w())), + fmodPI(n*(h[1]->r()+h[1]->w())), + fmodPI(n*(h[2]->r()+h[2]->w())) ); + + // compute associated total curvature for the triangle + double Omega = r[0] + r[1] + r[2]; + + // compute the right-hand side y + Vector y = Omega*p - r; + + // compute the transport angles from each vertex to p + Vector x( y[2] - y[0], + y[0] - y[1], + y[1] - y[2] ); + x /= 3.; + + // // get field vectors + // Vector N = normal(); + // Quaternion Z[3]; + // for( int i = 0; i < 3; i++ ) + // { + // Z[i] = h[i]->vertex->kVec(); + // double a = Z[i].norm(); + // Z[i].im() -= dot(Z[i].im(),N)*N; + // Z[i].normalize(); + // Z[i] *= a; + // } + + // get field vectors + Vector N = normal; + Quaternion Z[3]; + for( int i = 0; i < 3; i++ ) + { + HalfEdgeCIter X = h[i]->vertex->X(); + double s = h[i]->vertex->s; + double theta = 0.; + HalfEdgeCIter Y = h[i]; + do + { + Y = Y->flip->next; + theta += Y->cornerAngle() * s; + } + while( Y->flip->next != X ); + + double phi = h[i]->vertex->u.arg() - theta; + double a = h[i]->vertex->u.norm(); + Quaternion w = ( h[i]->flip->vertex->position - + h[i]->vertex->position ).unit(); + Quaternion q( cos(phi/2.), sin(phi/2.)*N ); + Z[i] = a * (q*w*q.conj()).im(); + } + + // compute in-plane rotations by each transport angle + Quaternion q[3]; + q[0] = Quaternion( cos(x[0]/2.), -sin(x[0]/2.)*N ); + q[1] = Quaternion( cos(x[1]/2.), -sin(x[1]/2.)*N ); + q[2] = Quaternion( cos(x[2]/2.), -sin(x[2]/2.)*N ); + + + // transport field vectors from vertices to p + Quaternion Zp = p[0]*( q[0].conj()*Z[0]*q[0] ) + + p[1]*( q[1].conj()*Z[1]*q[1] ) + + p[2]*( q[2].conj()*Z[2]*q[2] ) ; + + return Zp.im(); + } + + Vector Face :: toWorldCoordinates( const Vector& b ) const + { + Vector pi = he->vertex->position; + Vector pj = he->next->vertex->position; + Vector pk = he->next->next->vertex->position; + + return b[0]*pi + + b[1]*pj + + b[2]*pk ; + } +} + diff --git a/src/HalfEdge.cpp b/src/HalfEdge.cpp index d074281..867a912 100644 --- a/src/HalfEdge.cpp +++ b/src/HalfEdge.cpp @@ -1,81 +1,81 @@ -#include "HalfEdge.h" -#include "Edge.h" -#include "Mesh.h" -#include "Vertex.h" -#include "Vector.h" -#include -#include - -namespace DDG -{ - // transport angle along this HalfEdge - double HalfEdge::r( void ) const{ - // if this halfedge is the one that the parent edge points to the - // orientation is correct - return edge->he == flip ? -edge->r : edge->r; - } - - // additional rotation form // REMOVE w - double HalfEdge::w( void ) const{ - // if this halfedge is the one that the parent edge points to the - // orientation is correct - return edge->he == flip ? -edge->w : edge->w; - } - - // orientation of this halfedge with respec to parent edge - int HalfEdge::sign( void ) const{ - return edge->he == flip ? -1 : 1; - } - - // mass matrix coefficient along this edge - Complex HalfEdge::m( void ) const{ - // if this halfedge is the one that the parent edge points to the - // orientation is correct - return edge->he == flip ? edge->m.conj() : edge->m; - } - - // accumulator function for mass matrix coefficient along this edge - void HalfEdge::mAcc( const Complex& m ){ - // if this halfedge is the one that the parent edge points to the - // orientation is correct - if( edge->he == flip ) edge->m += m.conj(); else edge->m += m; - } - - // energy matrix coefficient along this edge - Complex HalfEdge::Es( void ) const{ - // if this halfedge is the one that the parent edge points to the - // orientation is correct - return edge->he == flip ? edge->Es.conj() : edge->Es; - } - - // accumulator function for Energy matrix coefficient along this edge - void HalfEdge::EsAcc( const Complex& Es ){ - // if this halfedge is the one that the parent edge points to the - // orientation is correct - if( edge->he == flip ) edge->Es += Es.conj(); else edge->Es += Es; - } - - Vector HalfEdge::geom( void ) const{ - return flip->vertex->position - vertex->position; - } - - const double HalfEdge::cot( void ) const{ - // assumes triangles - assert( face->he->next->next->next == face->he ); - - const Vector pki = next->geom(), pij = next->next->geom(); - // /|pij \times pik| - return -dot(pij,pki)/cross(pki,pij).norm(); - } - - const double HalfEdge::cornerAngle( void ) const - { - Vector pi = vertex->position; - Vector pj = next->vertex->position; - Vector pk = next->next->vertex->position; - Vector u = ( pj-pi ).unit(); - Vector v = ( pk-pi ).unit(); - return acos( dot( u, v )); - } -} - +#include "HalfEdge.h" +#include "Edge.h" +#include "Mesh.h" +#include "Vertex.h" +#include "Vector.h" +#include +#include + +namespace DDG +{ + // transport angle along this HalfEdge + double HalfEdge::r( void ) const{ + // if this halfedge is the one that the parent edge points to the + // orientation is correct + return edge->he == flip ? -edge->r : edge->r; + } + + // additional rotation form // REMOVE w + double HalfEdge::w( void ) const{ + // if this halfedge is the one that the parent edge points to the + // orientation is correct + return edge->he == flip ? -edge->w : edge->w; + } + + // orientation of this halfedge with respec to parent edge + int HalfEdge::sign( void ) const{ + return edge->he == flip ? -1 : 1; + } + + // mass matrix coefficient along this edge + Complex HalfEdge::m( void ) const{ + // if this halfedge is the one that the parent edge points to the + // orientation is correct + return edge->he == flip ? edge->m.conj() : edge->m; + } + + // accumulator function for mass matrix coefficient along this edge + void HalfEdge::mAcc( const Complex& m ){ + // if this halfedge is the one that the parent edge points to the + // orientation is correct + if( edge->he == flip ) edge->m += m.conj(); else edge->m += m; + } + + // energy matrix coefficient along this edge + Complex HalfEdge::Es( void ) const{ + // if this halfedge is the one that the parent edge points to the + // orientation is correct + return edge->he == flip ? edge->Es.conj() : edge->Es; + } + + // accumulator function for Energy matrix coefficient along this edge + void HalfEdge::EsAcc( const Complex& Es ){ + // if this halfedge is the one that the parent edge points to the + // orientation is correct + if( edge->he == flip ) edge->Es += Es.conj(); else edge->Es += Es; + } + + Vector HalfEdge::geom( void ) const{ + return flip->vertex->position - vertex->position; + } + + const double HalfEdge::cot( void ) const{ + // assumes triangles + assert( face->he->next->next->next == face->he ); + + const Vector pki = next->geom(), pij = next->next->geom(); + // /|pij \times pik| + return -dot(pij,pki)/cross(pki,pij).norm(); + } + + const double HalfEdge::cornerAngle( void ) const + { + Vector pi = vertex->position; + Vector pj = next->vertex->position; + Vector pk = next->next->vertex->position; + Vector u = ( pj-pi ).unit(); + Vector v = ( pk-pi ).unit(); + return acos( dot( u, v )); + } +} + diff --git a/src/Image.cpp b/src/Image.cpp index 091087e..82d7937 100644 --- a/src/Image.cpp +++ b/src/Image.cpp @@ -1,201 +1,201 @@ -#include -#include -#include -#include -using namespace std; - -#include "Image.h" - -namespace DDG -{ - Image :: Image( int width, int height ) - : w( width ), h( height ), pixels( w*h*3 ) - {} - - float& Image :: operator()( int x, int y ) - // accesses pixel (x,y) - { - return pixels[ x + y*w ]; - } - - const float& Image :: operator()( int x, int y ) const - // accesses pixel (x,y) - { - return pixels[ x + y*w ]; - } - - float Image :: sample( float x, float y ) const - // samples image at (x,y) using bilinear filtering - { - const Image& I( *this ); - float ax = x - floor( x ); - float ay = y - floor( y ); - float bx = 1. - ax; - float by = 1. - ay; - int x0 = (int) floor( x ); - int y0 = (int) floor( y ); - int x1 = x0 + 1; - int y1 = y0 + 1; - - clamp( x0, y0 ); - clamp( x1, y1 ); - - return by * ( bx * I(x0,y0) + ax * I(x1,y0) ) + - ay * ( bx * I(x0,y1) + ax * I(x1,y1) ) ; - } - - int Image :: width( void ) const - // returns image width - { - return w; - } - - int Image :: height( void ) const - // returns image height - { - return h; - } - - class TGAHeader - // header format for Truevision TGA images - { - public: - char idFieldSize; - char colorMapType; - char dataTypeCode; - short colorMapOrigin; - short colorMapLength; - char colorMapEntrySize; - short xOrigin; - short yOrigin; - short width; - short height; - char bitsPerPixel; - char imageSpecification; - }; - - void Image :: read( const char* filename ) - // loads an image file in Truevision TGA format - // (must be uncompressed RGB image with 24 or 32 bits per pixel) - { - ifstream in( filename, ios_base::binary ); - - if( !in.is_open() ) - { - cerr << "Error: could not open file " << filename << " for input!" << endl; - exit( 1 ); - } - - // read header - TGAHeader header; - in.read( (char*) &(header.idFieldSize), 1 ); - in.read( (char*) &(header.colorMapType), 1 ); - in.read( (char*) &(header.dataTypeCode), 1 ); - in.read( (char*) &(header.colorMapOrigin), 2 ); - in.read( (char*) &(header.colorMapLength), 2 ); - in.read( (char*) &(header.colorMapEntrySize), 1 ); - in.read( (char*) &(header.xOrigin), 2 ); - in.read( (char*) &(header.yOrigin), 2 ); - in.read( (char*) &(header.width), 2 ); - in.read( (char*) &(header.height), 2 ); - in.read( (char*) &(header.bitsPerPixel), 1 ); - in.read( (char*) &(header.imageSpecification), 1 ); - - w = header.width; - h = header.height; - - // validate data type - const char uncompressedRGB = 2; - if( header.dataTypeCode != uncompressedRGB || - ( header.bitsPerPixel != 24 && - header.bitsPerPixel != 32 )) - { - cerr << "Error: input must be uncompressed RGB image with 24 or 32 bits per pixel." << endl; - exit( 1 ); - } - - // read identification field (unused) - vector idField( header.idFieldSize ); - in.read( &idField[0], header.idFieldSize ); - - // read color map data (unused) - if( header.colorMapType == 1 ) - { - int bytesPerEntry = header.colorMapEntrySize / 8; - int colorMapSize = header.colorMapLength * bytesPerEntry; - vector colorMapData( colorMapSize ); - in.read( &colorMapData[0], colorMapSize ); - } - - // read pixel data - int n = w*h*header.bitsPerPixel/8; - vector pixelData( n ); - in.read( (char*) &pixelData[0], n ); - - // convert pixel data to floating point - pixels.resize( n ); - for( int i = 0; i < n; i++ ) - { - pixels[i] = (double) pixelData[i] / 255.; - } - } - - void Image :: write( const char* filename ) const - // writes an image file in Truevision TGA format - // (uncompressed RGB image with 24 bits per pixel) - { - ofstream out( filename, ios_base::binary ); - - if( !out.is_open() ) - { - cerr << "Error: could not open file " << filename << " for output!" << endl; - exit( 1 ); - } - - TGAHeader header; - header.idFieldSize = 0; - header.colorMapType = 0; - header.dataTypeCode = 2; - header.colorMapOrigin = 0; - header.colorMapLength = 0; - header.colorMapEntrySize = 0; - header.xOrigin = 0; - header.yOrigin = 0; - header.width = w; - header.height = h; - header.bitsPerPixel = 24; - header.imageSpecification = 0; - - // write header - out.write( (char*) &(header.idFieldSize), 1 ); - out.write( (char*) &(header.colorMapType), 1 ); - out.write( (char*) &(header.dataTypeCode), 1 ); - out.write( (char*) &(header.colorMapOrigin), 2 ); - out.write( (char*) &(header.colorMapLength), 2 ); - out.write( (char*) &(header.colorMapEntrySize), 1 ); - out.write( (char*) &(header.xOrigin), 2 ); - out.write( (char*) &(header.yOrigin), 2 ); - out.write( (char*) &(header.width), 2 ); - out.write( (char*) &(header.height), 2 ); - out.write( (char*) &(header.bitsPerPixel), 1 ); - out.write( (char*) &(header.imageSpecification), 1 ); - - // convert pixel data from floating point - vector pixelData( w*h*3 ); - for( int i = 0; i < w*h*3; i++ ) - { - pixelData[i] = (unsigned char)( pixels[i] * 255. ); - } - - // write pixel data - out.write( (char*) &pixelData[0], w*h*3 ); - } - - void Image :: clamp( int& x, int& y ) const - // clamps coordinates to range [0,w-1] x [0,h-1] - { - x = max( 0, min( w-1, x )); - y = max( 0, min( h-1, y )); - } -} - +#include +#include +#include +#include +using namespace std; + +#include "Image.h" + +namespace DDG +{ + Image :: Image( int width, int height ) + : w( width ), h( height ), pixels( w*h*3 ) + {} + + float& Image :: operator()( int x, int y ) + // accesses pixel (x,y) + { + return pixels[ x + y*w ]; + } + + const float& Image :: operator()( int x, int y ) const + // accesses pixel (x,y) + { + return pixels[ x + y*w ]; + } + + float Image :: sample( float x, float y ) const + // samples image at (x,y) using bilinear filtering + { + const Image& I( *this ); + float ax = x - floor( x ); + float ay = y - floor( y ); + float bx = 1. - ax; + float by = 1. - ay; + int x0 = (int) floor( x ); + int y0 = (int) floor( y ); + int x1 = x0 + 1; + int y1 = y0 + 1; + + clamp( x0, y0 ); + clamp( x1, y1 ); + + return by * ( bx * I(x0,y0) + ax * I(x1,y0) ) + + ay * ( bx * I(x0,y1) + ax * I(x1,y1) ) ; + } + + int Image :: width( void ) const + // returns image width + { + return w; + } + + int Image :: height( void ) const + // returns image height + { + return h; + } + + class TGAHeader + // header format for Truevision TGA images + { + public: + char idFieldSize; + char colorMapType; + char dataTypeCode; + short colorMapOrigin; + short colorMapLength; + char colorMapEntrySize; + short xOrigin; + short yOrigin; + short width; + short height; + char bitsPerPixel; + char imageSpecification; + }; + + void Image :: read( const char* filename ) + // loads an image file in Truevision TGA format + // (must be uncompressed RGB image with 24 or 32 bits per pixel) + { + ifstream in( filename, ios_base::binary ); + + if( !in.is_open() ) + { + cerr << "Error: could not open file " << filename << " for input!" << endl; + exit( 1 ); + } + + // read header + TGAHeader header; + in.read( (char*) &(header.idFieldSize), 1 ); + in.read( (char*) &(header.colorMapType), 1 ); + in.read( (char*) &(header.dataTypeCode), 1 ); + in.read( (char*) &(header.colorMapOrigin), 2 ); + in.read( (char*) &(header.colorMapLength), 2 ); + in.read( (char*) &(header.colorMapEntrySize), 1 ); + in.read( (char*) &(header.xOrigin), 2 ); + in.read( (char*) &(header.yOrigin), 2 ); + in.read( (char*) &(header.width), 2 ); + in.read( (char*) &(header.height), 2 ); + in.read( (char*) &(header.bitsPerPixel), 1 ); + in.read( (char*) &(header.imageSpecification), 1 ); + + w = header.width; + h = header.height; + + // validate data type + const char uncompressedRGB = 2; + if( header.dataTypeCode != uncompressedRGB || + ( header.bitsPerPixel != 24 && + header.bitsPerPixel != 32 )) + { + cerr << "Error: input must be uncompressed RGB image with 24 or 32 bits per pixel." << endl; + exit( 1 ); + } + + // read identification field (unused) + vector idField( header.idFieldSize ); + in.read( &idField[0], header.idFieldSize ); + + // read color map data (unused) + if( header.colorMapType == 1 ) + { + int bytesPerEntry = header.colorMapEntrySize / 8; + int colorMapSize = header.colorMapLength * bytesPerEntry; + vector colorMapData( colorMapSize ); + in.read( &colorMapData[0], colorMapSize ); + } + + // read pixel data + int n = w*h*header.bitsPerPixel/8; + vector pixelData( n ); + in.read( (char*) &pixelData[0], n ); + + // convert pixel data to floating point + pixels.resize( n ); + for( int i = 0; i < n; i++ ) + { + pixels[i] = (double) pixelData[i] / 255.; + } + } + + void Image :: write( const char* filename ) const + // writes an image file in Truevision TGA format + // (uncompressed RGB image with 24 bits per pixel) + { + ofstream out( filename, ios_base::binary ); + + if( !out.is_open() ) + { + cerr << "Error: could not open file " << filename << " for output!" << endl; + exit( 1 ); + } + + TGAHeader header; + header.idFieldSize = 0; + header.colorMapType = 0; + header.dataTypeCode = 2; + header.colorMapOrigin = 0; + header.colorMapLength = 0; + header.colorMapEntrySize = 0; + header.xOrigin = 0; + header.yOrigin = 0; + header.width = w; + header.height = h; + header.bitsPerPixel = 24; + header.imageSpecification = 0; + + // write header + out.write( (char*) &(header.idFieldSize), 1 ); + out.write( (char*) &(header.colorMapType), 1 ); + out.write( (char*) &(header.dataTypeCode), 1 ); + out.write( (char*) &(header.colorMapOrigin), 2 ); + out.write( (char*) &(header.colorMapLength), 2 ); + out.write( (char*) &(header.colorMapEntrySize), 1 ); + out.write( (char*) &(header.xOrigin), 2 ); + out.write( (char*) &(header.yOrigin), 2 ); + out.write( (char*) &(header.width), 2 ); + out.write( (char*) &(header.height), 2 ); + out.write( (char*) &(header.bitsPerPixel), 1 ); + out.write( (char*) &(header.imageSpecification), 1 ); + + // convert pixel data from floating point + vector pixelData( w*h*3 ); + for( int i = 0; i < w*h*3; i++ ) + { + pixelData[i] = (unsigned char)( pixels[i] * 255. ); + } + + // write pixel data + out.write( (char*) &pixelData[0], w*h*3 ); + } + + void Image :: clamp( int& x, int& y ) const + // clamps coordinates to range [0,w-1] x [0,h-1] + { + x = max( 0, min( w-1, x )); + y = max( 0, min( h-1, y )); + } +} + diff --git a/src/KVecDir.cpp b/src/KVecDir.cpp index 445e7ab..966433e 100644 --- a/src/KVecDir.cpp +++ b/src/KVecDir.cpp @@ -1,489 +1,646 @@ -#include -#include -#include -#include -#include -#include "Utility.h" -#include "Complex.h" -#include "Mesh.h" -#include "SparseMatrix.h" -#include "SectionIntegrals.h" - -namespace DDG{ - - // turn angle into unitary complex number - inline const Complex Phase( const double a ) { return Complex(cos(a),sin(a)); } - - // angle from f to t in the plane orthogonal to N - inline const double Angle( const Vector& f, const Vector& t, const Vector& N ){ - return atan2( dot(cross(f, t), N), dot(f, t) ); - } - - inline const double Clip( const double value, const double lower, const double upper ){ - return value < lower ? lower : ( value > upper ? upper : value ); - } - - void Mesh::ComputeConnectionAndHopf( void ){ - // at this point all face->alpha[] slots contain the Euclidean tip angles - // now visit every edge and figure out transport along that edge - for( EdgeIter ei = edges.begin(); ei != edges.end(); ei++ ){ - const VertexIter vi = ei->he->vertex, vj = ei->he->flip->vertex; - - // AngleOfEdge assumes that the alpha[] slots in all triangles - // contain the Euclidean angles; it then returns the angle - // measured from the distinguished direciton to the current edge - // RESCALED (by s). So it is the flattened angle that is - // measured here - const double aCi = vi->AngleOfEdge( ei->he ); - // we subtract PI from this one since we don't want to know the - // angle to ei->he->flip, but rather ei->he; undo the additional - // PI rotation - const double aCj = vj->AngleOfEdge( ei->he->flip ) - DDGConstants::PI; - - // what coefficient do I need to express X_i using the frame of X_j: X_i = r_{ij} X_j - ei->r = ( aCj - aCi ); - // w holds possible modification of connection; initially: none - ei->w = 0; // REMOVE w - - // let's compute q on this edge - const double le = ei->he->geom().norm(); - if( ei->he->onBoundary || ei->he->flip->onBoundary ){ - // boundary edges have a zero dihedral angle - ei->q = 0; - }else{ - // need Clip() here to avoid being ever so slightly larger than 1 or smaller than -1 - // const double cs = Clip( dot(ei->he->face->normal, ei->he->flip->face->normal ), -1, 1 ); - // in the edge tangent space (distinguished direction is along edge) q is purely real - // ei->q = -Complex(acos(cs)/2*le,0); - ei->q = -Complex(Angle( ei->he->face->normal, ei->he->flip->face->normal, ei->he->geom().unit() )/2*le,0); - // just making sure... - assert( !isnan(ei->q.re) ); - } - - // assuming that the q is aligned with the edge it gets - // transported into each end by the angles at the vertices with - // the edge; since q is quadratic we use the square - vj->q += Phase(aCj*2) * ei->q; - vi->q += Phase(aCi*2) * ei->q; - } // edge traversal - } - - // new version which uses closed form integrals - void Mesh::InitKVecDirData( void ){ - - // we'll need transports along edges, areas (masses) of triangles - // and masses (areas) of vertices; the latter is needed for the EV - // problem as the mass matrix from the rhs gets incorporated into - // the lhs so that we have just an ordinary EV problem - for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ - // initializations: mass, angle sums, Hopf differential - vi->m = 0; vi->s = 0; vi->q = Complex(0,0); - } - - for( FaceIter fi = faces.begin(); fi != faces.end(); fi++ ){ - if( fi->isBoundary() ) continue; // skip boundary face(s) - // computes triangle area; puts Euclidean corner angles into - // alpha[], adds them to the s accumulators in the three - // vertices - fi->InitAreaAnglesAngleSums(); - } - - // we used s to accumulate the total angle around a vertex; turn - // it into the scale factor we need; on the boundary no flattening - // is performed - for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ - vi->s = vi->onBoundary() ? 1 : (2*DDGConstants::PI / vi->s); - } - - // assumes alpha angles and s scalings at vertices - ComputeConnectionAndHopf(); - } - - void Mesh::ComputeEnergyAndMass( const unsigned int n, const double s ){ - - // gotta zero out all working slots - for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ - vi->m = 0; vi->Es = 0; - } - for( EdgeIter ei = edges.begin(); ei != edges.end(); ei++ ){ - ei->m = Complex(0,0); ei->Es = Complex(0,0); - } - - // each local stiffness matrix - for( FaceIter fi = faces.begin(); fi != faces.end(); fi++ ){ - - if( fi->isBoundary() ) continue; // nothing to do for boundary loop - assert( fi->he->next->next->next == fi->he ); // better be a triangle - - // boundary of triangle ij, jk, ki - const HalfEdgeIter he[3] = { fi->he, fi->he->next, fi->he->next->next }; - // get vertices for this triangle - const VertexIter v[3] = { he[0]->vertex, he[1]->vertex, he[2]->vertex }; - // get edge differences, ij, jk, ki - const Vector p[3] = { he[0]->geom(), he[1]->geom(), he[2]->geom() }; - // length squared - const double pn2[3] = { p[0].norm2(), p[1].norm2(), p[2].norm2() }; - - // transport coefficients along the edges (this is where - // multiplication with k enters); we need to account for the - // orientation of the halfedge relative to the edge; since we - // only need the conjugate of these we'll conjugate right here - const Complex rc[3] = // ADD w for flat bundle - { Phase(n*(he[0]->r()/*+he[0]->w()*/)).conj(), - Phase(n*(he[1]->r()/*+he[1]->w()*/)).conj(), - Phase(n*(he[2]->r()/*+he[2]->w()*/)).conj() }; - - // area of this triangle - const double A = fi->A; - // line bundle curvature of this triangle - const double om = n*(fi->K()/*+(he[0]->w()+he[1]->w()+he[2]->w())*/); // ADD w for flat line bundle - - // first the mass matrix - const double Mii = A*MassII(); - // diagonal entries at vertices - v[0]->m += Mii; v[1]->m += Mii; v[2]->m += Mii; - - const Complex Mij = A*MassIJ( om ); - // off diagonal at edges - he[0]->mAcc( Mij*rc[0] ); he[1]->mAcc( Mij*rc[1] ); he[2]->mAcc( Mij*rc[2] ); - - // energy matrix - const double snKii = (s*(om/A))*Mii; assert( !isnan( snKii ) ); - // diagonal entries - v[0]->Es += DirichletII( om, pn2[0], -dot(p[0],p[2]), pn2[2] )/A - snKii; - v[1]->Es += DirichletII( om, pn2[1], -dot(p[1],p[0]), pn2[0] )/A - snKii; - v[2]->Es += DirichletII( om, pn2[2], -dot(p[2],p[1]), pn2[1] )/A - snKii; - - const Complex snKij = s*((om/A)*Mij-Complex(0,.5)); - // off diagonal - he[0]->EsAcc( (DirichletIJ( om, pn2[2], -dot(p[2],p[1]), pn2[1] )/A - snKij)*rc[0] ); - he[1]->EsAcc( (DirichletIJ( om, pn2[0], -dot(p[0],p[2]), pn2[2] )/A - snKij)*rc[1] ); - he[2]->EsAcc( (DirichletIJ( om, pn2[1], -dot(p[1],p[0]), pn2[0] )/A - snKij)*rc[2] ); - } // Face traversal - } - - void Mesh::SetupEnergyMatrix( SparseMatrix &A, - SparseMatrix &M, - const unsigned int n, const double s, - double lambda ) - { - const unsigned int nV = vertices.size(); - const unsigned int nE = edges.size(); - A.resize( nV, nV, nV+2*nE ); - M.resize( nV, nV, nV+2*nE ); - - ComputeEnergyAndMass( n, s ); - - // shift A by epsilon to avoid degeneracy - // (does not affect smallest eigenvector) - const double shift = -lambda + 1e-9; - - // temporary storage for matrix columns - vector< vector > cA( nV ), cM( nV ); - - for( VertexIter vj = vertices.begin(); vj != vertices.end(); ++vj ) - { - size_t j = vj->id; - - vector& Aj( cA[j] ); // nonzeros in jth column of A - vector& Mj( cM[j] ); // nonzeros in jth column of M - Aj.reserve( 16 ); - Mj.reserve( 16 ); - - Aj.push_back( ColumnEntry( j, Complex(vj->Es+shift*vj->m,0) )); - Mj.push_back( ColumnEntry( j, Complex(vj->m,0) )); - - HalfEdgeCIter he = vj->he; - do { - EdgeCIter e = he->edge; - VertexIter vi = he->flip->vertex; - size_t i = vi->id; - - Complex Aij = e->Es + shift*e->m; - Complex Mij = e->m; - if( he->edge->he == he ){ - Aij = Aij.conj(); - Mij = Mij.conj(); - } - - Aj.push_back( ColumnEntry( i, Aij )); - Mj.push_back( ColumnEntry( i, Mij )); - - he = he->flip->next; - } while( he != vj->he ); - } - - for( int j = 0; j < nV; j++ ) - { - A.appendCompressedColumn( cA[j] ); - M.appendCompressedColumn( cM[j] ); - } - } - - void Mesh::SetupEnergyMatrixFixedBoundary( SparseMatrix &A, - SparseMatrix &M, - DenseMatrix &b, - const unsigned int n, const double s, - double lambda ) - { - const unsigned int nV = nInteriorVertices; - const unsigned int nE = edges.size(); - A.resize( nV, nV, nV+2*nE ); - M.resize( nV, nV, nV+2*nE ); - b = DenseMatrix( nV, 1 ); - b.zero( Complex(0.,0.) ); - - ComputeEnergyAndMass( n, s ); - - // shift A by epsilon to avoid degeneracy - // (does not affect smallest eigenvector) - const double shift = -lambda + 1e-9; - - // temporary storage for matrix columns - vector< vector > cA( nV ), cM( nV ); - - for( VertexIter vj = vertices.begin(); vj != vertices.end(); ++vj ) - { - if( vj->onBoundary() ) continue; - - size_t j = vj->id; - - vector& Aj( cA[j] ); // nonzeros in jth column of A - vector& Mj( cM[j] ); // nonzeros in jth column of M - Aj.reserve( 16 ); - Mj.reserve( 16 ); - - Aj.push_back( ColumnEntry( j, Complex(vj->Es+shift*vj->m,0) )); - Mj.push_back( ColumnEntry( j, Complex(vj->m,0) )); - - HalfEdgeCIter he = vj->he; - do { - EdgeCIter e = he->edge; - VertexIter vi = he->flip->vertex; - - Complex Aij = e->Es + shift*e->m; - Complex Mij = e->m; - if( he->edge->he == he ){ - Aij = Aij.conj(); - Mij = Mij.conj(); - } - - if( vi->onBoundary() ) - { - // move boundary terms to the right-hand side - b(j,0) -= Aij.conj() * vi->BoundaryValue(n); - } - else - { - size_t i = vi->id; - Aj.push_back( ColumnEntry( i, Aij )); - Mj.push_back( ColumnEntry( i, Mij )); - } - - he = he->flip->next; - } while( he != vj->he ); - } - - for( int j = 0; j < nV; j++ ) - { - A.appendCompressedColumn( cA[j] ); - M.appendCompressedColumn( cM[j] ); - } - } - - // energy minimizer - void Mesh::ComputeSmoothest( const unsigned int n, const double s, const bool dir ){ - - cerr << "Mesh::ComputeSmoothest: n: " << n << " s: " << s << " dir: " << dir << endl; - - double t0 = wallClock(); - - const unsigned int nv = vertices.size(); - SparseMatrix A( nv, nv ), M( nv, nv ); - - SetupEnergyMatrix( A, M, n, s ); - - // now find smallest eigenvector - DenseMatrix u(nv,1); - u.randomize(); - - smallestEigPositiveDefinite( A, M, u ); - cerr << "[eig] ev = " << rayleighQuotient( A, M, u ) << endl; - - // load result - for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ) - { - vi->u = u(vi->id,0); - } - - ComputeIndices( n ); - - // take roots (and possibly normalize) vertex data - for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ - const Complex z = vi->u; - vi->u = Phase(z.arg()/n) * ( dir ? 1. : pow(z.norm(),1./n) ); - } - double t1 = wallClock(); printTiming( "compute smoothest field", t1-t0 ); - cerr << "triangles: " << faces.size() << endl; - } // ComputeSmoothest - - void Mesh::ComputeSmoothestFixedBoundary( const unsigned int n, const double s, const bool dir ){ - - cerr << "Mesh::ComputeSmoothestFixedBoundary: n: " << n << " s: " << s << " dir: " << dir << endl; - - double t0 = wallClock(); - - const unsigned int nv = nInteriorVertices; - SparseMatrix A( nv, nv ), M( nv, nv ); - DenseMatrix b; - - cout << "Build matrix" << endl; - SetupEnergyMatrixFixedBoundary( A, M, b, n, s ); - - cout << "Solve" << endl; - // solve for smoothest field - DenseMatrix u(nv,1); - solvePositiveDefinite( A, u, b ); - - cerr << "Extract solution" << endl; - // load result - for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ) - { - if( !vi->onBoundary() ) // interior vertex - { - vi->u = u(vi->id,0); - } - else // boundary vertex - { - vi->u = vi->BoundaryValue(n); - } - } - - cout << "Compute indices" << endl; - ComputeIndices( n ); - - // take roots (and possibly normalize) vertex data - for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ - const Complex z = vi->u; - vi->u = Phase(z.arg()/n) * ( dir ? 1. : pow(z.norm(),1./n) ); - } - double t1 = wallClock(); printTiming( "compute smoothest field", t1-t0 ); - cerr << "triangles: " << faces.size() << endl; - } // ComputeSmoothest - - // alignment with q slot at vertices code; typically q is the Hopf - // differential, but could be something else; here we will assume - // however that it is the Hopf differential - double Mesh::SmoothestCurvatureAlignment( unsigned int n, double s, double lambda, bool dir ){ - cerr << "Mesh::CurvatureSmoothestAlignment: n: " << n << " s: " << s << " lambda: " << lambda << endl; - if( n != 2 && n != 4 ){ - cerr << "alignment code requires n == 2 or n == 4; n is: " << n << endl; - return 0; - } - double t0 = wallClock(); - - const unsigned int nv = vertices.size(); - SparseMatrix A( nv, nv ), M( nv, nv ); - - SetupEnergyMatrix( A, M, n, s, lambda ); - - // find solution to Poisson problem - DenseMatrix u(nv,1), q(nv,1); - - // load q; to simplify the t computation we need to normalize q - unsigned int i = 0; - for( VertexIter vi = vertices.begin(); vi != vertices.end(); i++, vi++ ){ - q(vi->id,0) = ( n == 2 ? vi->q : vi->q*vi->q ); - } - { - u = M.multiply( q ); - double normQ = 0; - for( i = 0; i < nv; i++ ) normQ += (q(i,0).conj()*u(i,0)).re; - q = u/sqrt( normQ ); - } - - solvePositiveDefinite( A, u, q ); - - // load result - i = 0; for( VertexIter vi = vertices.begin(); vi != vertices.end(); i++, vi++ ) vi->u = u(vi->id,0); - - double normU = 0; - { - q = M*u; - for( i = 0; i < nv; i++ ){ - normU += (u(i,0).conj()*q(i,0)).re; - } - normU = sqrt( normU ); - } - - ComputeIndices( n ); - - // take roots (and possibly normalize) vertex data - for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ - const Complex z = vi->u; - vi->u = Phase(z.arg()/n) * ( dir ? 1. : pow(z.norm(),1./n) ); - } - double t1 = wallClock(); printTiming( "compute aligned field", t1-t0 ); - cerr << "triangles: " << faces.size() << endl; - - // let the caller know what the actual t value was - cerr << "corresponding t value: " << 1./(1.+normU) << endl; - return 1./(1.+normU); - } - - // determine singularity index of each triangle - void Mesh::ComputeIndices( const unsigned int n ) { - - int totalIndex = 0; - for( FaceIter fi = faces.begin(); fi != faces.end(); fi++ ){ - if( fi->isBoundary() ) continue; - - // boundary of triangle ij, jk, ki - const HalfEdgeCIter he[3] = { fi->he, fi->he->next, fi->he->next->next }; - - // index computation; first the geometric curvature of this - // triangle - const double sigma = fmodPI(n*fi->K()/*+n*(he[0]->w()+he[1]->w()+he[2]->w())*/); // ADD w for flat bundle - - // now walk around the boundary and look by how much the - // vector field rotates. - const Complex u[3] = { he[0]->vertex->u, he[1]->vertex->u, he[2]->vertex->u }; - - // transport from vertex i to vertex j. - const double rij[3] = // ADD w for flat bundle - { fmodPI(n*(he[0]->r()/*+he[0]->w()*/)), - fmodPI(n*(he[1]->r()/*+he[1]->w()*/)), - fmodPI(n*(he[2]->r()/*+he[2]->w()*/)) }; - - // now figure out how much the u field rotates all by itself; - // transport a u_i to v_j and compare with u_j there - const double aij[3] = { - ( u[0].unit() * Phase( rij[0] ) * u[1].unit().conj() ).arg(), - ( u[1].unit() * Phase( rij[1] ) * u[2].unit().conj() ).arg(), - ( u[2].unit() * Phase( rij[2] ) * u[0].unit().conj() ).arg() }; - - //assert( abs( aij[0] + aij[1] + aij[2] - sigma ) < 4*DDGConstants::PI ); - - // final result (note that we have an overall "sign error" since - // we measured angles in CW orientation) - const double s = -( aij[0] + aij[1] + aij[2] - sigma ) / (2*DDGConstants::PI ); - - // this better be essentially an integer - assert( abs( s - lround( s ) ) < 1e-6 ); - - fi->sing = int( lround( s ) ); - - totalIndex += fi->sing; - - } // Face traversal - } // ComputeIndices - - void Mesh::clearSingularities( void ) - { - for( FaceIter f = faces.begin(); f != faces.end(); f++ ) - { - f->sing = 0; - } - } - -} // namespace DDG +#include +#include +#include +#include +#include +#include "Utility.h" +#include "Complex.h" +#include "Mesh.h" +#include "SparseMatrix.h" +#include "SectionIntegrals.h" + +namespace DDG{ + + // turn angle into unitary complex number + inline const Complex Phase( const double a ) { return Complex(cos(a),sin(a)); } + + // angle from f to t in the plane orthogonal to N + inline const double Angle( const Vector& f, const Vector& t, const Vector& N ){ + return atan2( dot(cross(f, t), N), dot(f, t) ); + } + + // f and t are projected onto plane normal to N as fProj and tProj. Returns angle from fProj to tProj + inline const double ProjectionAngle( const Vector& f, const Vector& t, const Vector& N ){ + if (dot(f, N) == 0 || dot(t, N) == 0) return 0; + + Vector fProj = f; + if (dot(f,N) > 0) fProj = (f/dot(f,N)) - N; + else if (dot(f,N) < 0) fProj = N - (f/dot(f,N)); + + Vector tProj = t; + if (dot(t,N) > 0) tProj = (t/dot(t,N)) - N; + else if (dot(t,N) < 0) tProj = N - (t/dot(t,N)); + + return acos(dot(fProj.unit(), tProj.unit())); + } + + inline const double Clip( const double value, const double lower, const double upper ){ + return value < lower ? lower : ( value > upper ? upper : value ); + } + + void Mesh::ComputeConnectionAndHopf( void ){ + // at this point all face->alpha[] slots contain the Euclidean tip angles + // now visit every edge and figure out transport along that edge + for( EdgeIter ei = edges.begin(); ei != edges.end(); ei++ ){ + const VertexIter vi = ei->he->vertex, vj = ei->he->flip->vertex; + + // AngleOfEdge assumes that the alpha[] slots in all triangles + // contain the Euclidean angles; it then returns the angle + // measured from the distinguished direciton to the current edge + // RESCALED (by s). So it is the flattened angle that is + // measured here + const double aCi = vi->AngleOfEdge( ei->he ); + // we subtract PI from this one since we don't want to know the + // angle to ei->he->flip, but rather ei->he; undo the additional + // PI rotation + const double aCj = vj->AngleOfEdge( ei->he->flip ) - DDGConstants::PI; + + // what coefficient do I need to express X_i using the frame of X_j: X_i = r_{ij} X_j + ei->r = ( aCj - aCi ); + // w holds possible modification of connection; initially: none + ei->w = 0; // REMOVE w + + // let's compute q on this edge + const double le = ei->he->geom().norm(); + if( ei->he->onBoundary || ei->he->flip->onBoundary ){ + // boundary edges have a zero dihedral angle + ei->q = 0; + }else{ + // need Clip() here to avoid being ever so slightly larger than 1 or smaller than -1 + // const double cs = Clip( dot(ei->he->face->normal, ei->he->flip->face->normal ), -1, 1 ); + // in the edge tangent space (distinguished direction is along edge) q is purely real + // ei->q = -Complex(acos(cs)/2*le,0); + ei->q = -Complex(Angle( ei->he->face->normal, ei->he->flip->face->normal, ei->he->geom().unit() )/2*le,0); + // just making sure... + assert( !isnan(ei->q.re) ); + } + + // assuming that the q is aligned with the edge it gets + // transported into each end by the angles at the vertices with + // the edge; since q is quadratic we use the square + vj->q += Phase(aCj*2) * ei->q; + vi->q += Phase(aCi*2) * ei->q; + } // edge traversal + } + + // new version which uses closed form integrals + void Mesh::InitKVecDirData( void ){ + + // we'll need transports along edges, areas (masses) of triangles + // and masses (areas) of vertices; the latter is needed for the EV + // problem as the mass matrix from the rhs gets incorporated into + // the lhs so that we have just an ordinary EV problem + for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ + // initializations: mass, angle sums, Hopf differential + vi->m = 0; vi->s = 0; vi->q = Complex(0,0); + } + + for( FaceIter fi = faces.begin(); fi != faces.end(); fi++ ){ + if( fi->isBoundary() ) continue; // skip boundary face(s) + // computes triangle area; puts Euclidean corner angles into + // alpha[], adds them to the s accumulators in the three + // vertices + fi->InitAreaAnglesAngleSums(); + } + + // we used s to accumulate the total angle around a vertex; turn + // it into the scale factor we need; on the boundary no flattening + // is performed + for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ + vi->s = vi->onBoundary() ? 1 : (2*DDGConstants::PI / vi->s); + } + + // assumes alpha angles and s scalings at vertices + ComputeConnectionAndHopf(); + } + + /* + This is the function that changes the the values of q to the area weighted + averaged of complex representations of face vectors + */ + void Mesh::setupqForGivenVectorAlignment( double alignmentMagnitude ){ + for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ + + // Going over every face and averaging the complex number based on the areas + HalfEdgeIter he = vi->he->next; + VertexIter initialVertexIter = he->vertex; + Complex vertexQ; // The variable that saves averaged face complex values + bool isOutsideNRing = false; + double sumFaceAreas = 0.0; + do{ + FaceIter fi = he->face; + HalfEdgeIter heToCompare = he->next->next; + if (fi->alignment.norm() != 0) + { + Vector faceAliVec = fi->alignment.unit(); + + Vector heVec = heToCompare->geom().unit(); + + Vector crosprod = cross(heVec, faceAliVec); + // heToAlignment saved the complex rotation from edge vector of the face to the face based vector + Complex heToAlignment = Phase(vi->s*asin(crosprod.norm())); + // If the edge is on the different side of the edge we should rotate it by pi radians + // We do so because the angle with the edge should be in clockwise direction to represent the complexnumber correctly + if (signbit(dot(crosprod, fi->normal))) + heToAlignment = heToAlignment*Phase(M_PI); + // here we multiply complex rotation on the face to complex representation of the edge to the basis vector + // That one is given by the fuction Vertex::AngleOfEdge(HalfEdge) + Complex curComplex = heToAlignment*Phase(vi->AngleOfEdge(heToCompare)); + sumFaceAreas += fi->area(); + vertexQ += fi->area()*curComplex; + } + else + { + isOutsideNRing = true; + } + + he = he->next->flip->next; + }while(he->vertex != initialVertexIter); + + if (isOutsideNRing) + { + vi->q = Complex(0.0, 0.0); // If it's outside the n rings of the alignnent make it 0 + } + else + { + // alignmentMagnitude is an experimental parameter which section 5 of the paper says + // if more the alignment energy at that point will be more. But it's not being used + // currently + vi->q = vertexQ*alignmentMagnitude/sumFaceAreas; + } + } + } + + void Mesh::ComputeEnergyAndMass( const unsigned int n, const double s ){ + + // gotta zero out all working slots + for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ + vi->m = 0; vi->Es = 0; + } + for( EdgeIter ei = edges.begin(); ei != edges.end(); ei++ ){ + ei->m = Complex(0,0); ei->Es = Complex(0,0); + } + + // each local stiffness matrix + for( FaceIter fi = faces.begin(); fi != faces.end(); fi++ ){ + + if( fi->isBoundary() ) continue; // nothing to do for boundary loop + assert( fi->he->next->next->next == fi->he ); // better be a triangle + + // boundary of triangle ij, jk, ki + const HalfEdgeIter he[3] = { fi->he, fi->he->next, fi->he->next->next }; + // get vertices for this triangle + const VertexIter v[3] = { he[0]->vertex, he[1]->vertex, he[2]->vertex }; + // get edge differences, ij, jk, ki + const Vector p[3] = { he[0]->geom(), he[1]->geom(), he[2]->geom() }; + // length squared + const double pn2[3] = { p[0].norm2(), p[1].norm2(), p[2].norm2() }; + + // transport coefficients along the edges (this is where + // multiplication with k enters); we need to account for the + // orientation of the halfedge relative to the edge; since we + // only need the conjugate of these we'll conjugate right here + const Complex rc[3] = // ADD w for flat bundle + { Phase(n*(he[0]->r()/*+he[0]->w()*/)).conj(), + Phase(n*(he[1]->r()/*+he[1]->w()*/)).conj(), + Phase(n*(he[2]->r()/*+he[2]->w()*/)).conj() }; + + // area of this triangle + const double A = fi->A; + // line bundle curvature of this triangle + const double om = n*(fi->K()/*+(he[0]->w()+he[1]->w()+he[2]->w())*/); // ADD w for flat line bundle + + // first the mass matrix + const double Mii = A*MassII(); + // diagonal entries at vertices + v[0]->m += Mii; v[1]->m += Mii; v[2]->m += Mii; + + const Complex Mij = A*MassIJ( om ); + // off diagonal at edges + he[0]->mAcc( Mij*rc[0] ); he[1]->mAcc( Mij*rc[1] ); he[2]->mAcc( Mij*rc[2] ); + + // energy matrix + const double snKii = (s*(om/A))*Mii; assert( !isnan( snKii ) ); + // diagonal entries + v[0]->Es += DirichletII( om, pn2[0], -dot(p[0],p[2]), pn2[2] )/A - snKii; + v[1]->Es += DirichletII( om, pn2[1], -dot(p[1],p[0]), pn2[0] )/A - snKii; + v[2]->Es += DirichletII( om, pn2[2], -dot(p[2],p[1]), pn2[1] )/A - snKii; + + const Complex snKij = s*((om/A)*Mij-Complex(0,.5)); + // off diagonal + he[0]->EsAcc( (DirichletIJ( om, pn2[2], -dot(p[2],p[1]), pn2[1] )/A - snKij)*rc[0] ); + he[1]->EsAcc( (DirichletIJ( om, pn2[0], -dot(p[0],p[2]), pn2[2] )/A - snKij)*rc[1] ); + he[2]->EsAcc( (DirichletIJ( om, pn2[1], -dot(p[1],p[0]), pn2[0] )/A - snKij)*rc[2] ); + } // Face traversal + } + + void Mesh::SetupEnergyMatrix( SparseMatrix &A, + SparseMatrix &M, + const unsigned int n, const double s, + double lambda ) + { + const unsigned int nV = vertices.size(); + const unsigned int nE = edges.size(); + A.resize( nV, nV, nV+2*nE ); + M.resize( nV, nV, nV+2*nE ); + + ComputeEnergyAndMass( n, s ); + + // shift A by epsilon to avoid degeneracy + // (does not affect smallest eigenvector) + const double shift = -lambda + 1e-9; + + // temporary storage for matrix columns + vector< vector > cA( nV ), cM( nV ); + + for( VertexIter vj = vertices.begin(); vj != vertices.end(); ++vj ) + { + size_t j = vj->id; + + vector& Aj( cA[j] ); // nonzeros in jth column of A + vector& Mj( cM[j] ); // nonzeros in jth column of M + Aj.reserve( 16 ); + Mj.reserve( 16 ); + + Aj.push_back( ColumnEntry( j, Complex(vj->Es+shift*vj->m,0) )); + Mj.push_back( ColumnEntry( j, Complex(vj->m,0) )); + + HalfEdgeCIter he = vj->he; + + do { + EdgeCIter e = he->edge; + VertexIter vi = he->flip->vertex; + size_t i = vi->id; + + Complex Aij = e->Es + shift*e->m; + Complex Mij = e->m; + + if( he->edge->he == he ){ + Aij = Aij.conj(); + Mij = Mij.conj(); + } + + Aj.push_back( ColumnEntry( i, Aij )); + Mj.push_back( ColumnEntry( i, Mij )); + + he = he->flip->next; + } while( he != vj->he ); + } + + for( unsigned int j = 0; j < nV; j++ ) + { + A.appendCompressedColumn( cA[j] ); + M.appendCompressedColumn( cM[j] ); + } + } + + void Mesh::SetupEnergyMatrixFixedBoundary( SparseMatrix &A, + SparseMatrix &M, + DenseMatrix &b, + const unsigned int n, const double s, + double lambda ) + { + const unsigned int nV = nInteriorVertices; + const unsigned int nE = edges.size(); + A.resize( nV, nV, nV+2*nE ); + M.resize( nV, nV, nV+2*nE ); + b = DenseMatrix( nV, 1 ); + b.zero( Complex(0.,0.) ); + + ComputeEnergyAndMass( n, s ); + + // shift A by epsilon to avoid degeneracy + // (does not affect smallest eigenvector) + const double shift = -lambda + 1e-9; + + // temporary storage for matrix columns + vector< vector > cA( nV ), cM( nV ); + + for( VertexIter vj = vertices.begin(); vj != vertices.end(); ++vj ) + { + if( vj->onBoundary() ) continue; + + size_t j = vj->id; + + vector& Aj( cA[j] ); // nonzeros in jth column of A + vector& Mj( cM[j] ); // nonzeros in jth column of M + Aj.reserve( 16 ); + Mj.reserve( 16 ); + + Aj.push_back( ColumnEntry( j, Complex(vj->Es+shift*vj->m,0) )); + Mj.push_back( ColumnEntry( j, Complex(vj->m,0) )); + + HalfEdgeCIter he = vj->he; + do { + EdgeCIter e = he->edge; + VertexIter vi = he->flip->vertex; + + Complex Aij = e->Es + shift*e->m; + Complex Mij = e->m; + if( he->edge->he == he ){ + Aij = Aij.conj(); + Mij = Mij.conj(); + } + + if( vi->onBoundary() ) + { + // move boundary terms to the right-hand side + b(j,0) -= Aij.conj() * vi->BoundaryValue(n); + } + else + { + size_t i = vi->id; + Aj.push_back( ColumnEntry( i, Aij )); + Mj.push_back( ColumnEntry( i, Mij )); + } + + he = he->flip->next; + } while( he != vj->he ); + } + + for( unsigned int j = 0; j < nV; j++ ) + { + A.appendCompressedColumn( cA[j] ); + M.appendCompressedColumn( cM[j] ); + } + } + + // energy minimizer + void Mesh::ComputeSmoothest( const unsigned int n, const double s, const bool dir ){ + + cerr << "Mesh::ComputeSmoothest: n: " << n << " s: " << s << " dir: " << dir << endl; + + double t0 = wallClock(); + + const unsigned int nv = vertices.size(); + SparseMatrix A( nv, nv ), M( nv, nv ); + + SetupEnergyMatrix( A, M, n, s ); + + // now find smallest eigenvector + DenseMatrix u(nv,1); + u.randomize(); + + smallestEigPositiveDefinite( A, M, u ); + cerr << "[eig] ev = " << rayleighQuotient( A, M, u ) << endl; + + // load result + for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ) + { + vi->u = u(vi->id,0); + } + + ComputeIndices( n ); + + // take roots (and possibly normalize) vertex data + for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ + const Complex z = vi->u; + vi->u = Phase(z.arg()/n) * ( dir ? 1. : pow(z.norm(),1./n) ); + } + double t1 = wallClock(); printTiming( "compute smoothest field", t1-t0 ); + cerr << "triangles: " << faces.size() << endl; + } // ComputeSmoothest + + void Mesh::ComputeSmoothestFixedBoundary( const unsigned int n, const double s, const bool dir ){ + + cerr << "Mesh::ComputeSmoothestFixedBoundary: n: " << n << " s: " << s << " dir: " << dir << endl; + + double t0 = wallClock(); + + const unsigned int nv = nInteriorVertices; + SparseMatrix A( nv, nv ), M( nv, nv ); + DenseMatrix b; + + cout << "Build matrix" << endl; + SetupEnergyMatrixFixedBoundary( A, M, b, n, s ); + + cout << "Solve" << endl; + // solve for smoothest field + DenseMatrix u(nv,1); + solvePositiveDefinite( A, u, b ); + + cerr << "Extract solution" << endl; + // load result + for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ) + { + if( !vi->onBoundary() ) // interior vertex + { + vi->u = u(vi->id,0); + } + else // boundary vertex + { + vi->u = vi->BoundaryValue(n); + } + } + + cout << "Compute indices" << endl; + ComputeIndices( n ); + + // take roots (and possibly normalize) vertex data + for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ + const Complex z = vi->u; + vi->u = Phase(z.arg()/n) * ( dir ? 1. : pow(z.norm(),1./n) ); + } + double t1 = wallClock(); printTiming( "compute smoothest field", t1-t0 ); + cerr << "triangles: " << faces.size() << endl; + } // ComputeSmoothest + + // alignment with q slot at vertices code; typically q is the Hopf + // differential, but could be something else; here we will assume + // however that it is the Hopf differential + double Mesh::SmoothestCurvatureAlignment( unsigned int n, double s, double lambda, bool dir ){ + cerr << "Mesh::CurvatureSmoothestAlignment: n: " << n << " s: " << s << " lambda: " << lambda << endl; + if( n != 2 && n != 4 ){ + cerr << "alignment code requires n == 2 or n == 4; n is: " << n << endl; + return 0; + } + double t0 = wallClock(); + + const unsigned int nv = vertices.size(); + SparseMatrix A( nv, nv ), M( nv, nv ); + + SetupEnergyMatrix( A, M, n, s, lambda ); + + // find solution to Poisson problem + DenseMatrix u(nv,1), q(nv,1); + + // load q; to simplify the t computation we need to normalize q + unsigned int i = 0; + for( VertexIter vi = vertices.begin(); vi != vertices.end(); i++, vi++ ){ + q(vi->id,0) = ( n == 2 ? vi->q : vi->q*vi->q ); + } + { + u = M.multiply( q ); + double normQ = 0; + for( i = 0; i < nv; i++ ) normQ += (q(i,0).conj()*u(i,0)).re; + q = u/sqrt( normQ ); + } + + solvePositiveDefinite( A, u, q ); + + // load result + i = 0; for( VertexIter vi = vertices.begin(); vi != vertices.end(); i++, vi++ ) vi->u = u(vi->id,0); + + double normU = 0; + { + q = M*u; + for( i = 0; i < nv; i++ ){ + normU += (u(i,0).conj()*q(i,0)).re; + } + normU = sqrt( normU ); + } + + ComputeIndices( n ); + + // take roots (and possibly normalize) vertex data + for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ + const Complex z = vi->u; + vi->u = Phase(z.arg()/n) * ( dir ? 1. : pow(z.norm(),1./n) ); + } + double t1 = wallClock(); printTiming( "compute aligned field", t1-t0 ); + cerr << "triangles: " << faces.size() << endl; + + // let the caller know what the actual t value was + cerr << "corresponding t value: " << 1./(1.+normU) << endl; + return 1./(1.+normU); + } + + // alignment with q. q will be recalculated + double Mesh::SmoothestGivenVectorAlignment( unsigned int n, double s, double lambda, double alignmentMagnitude, bool dir ){ + cerr << "Mesh::SmoothestGivenVectorAlignment: n: " << n << " s: " << s << " lambda: " << lambda << endl; + if( n != 1 && n != 2 && n != 4){ + cerr << "alignment code requires n == 1, 2 or 4; n is: " << n << endl; + return 0; + } + double t0 = wallClock(); + + const unsigned int nv = vertices.size(); + SparseMatrix A( nv, nv ), M( nv, nv ); + + SetupEnergyMatrix( A, M, n, s, lambda ); + // A is now A-lambdaM + + // find solution to Poisson problem + DenseMatrix u(nv,1), q(nv,1); + + setupqForGivenVectorAlignment(alignmentMagnitude); + + // load q; to simplify the t computation we need to normalize q + unsigned int i = 0; + for( VertexIter vi = vertices.begin(); vi != vertices.end(); i++, vi++ ){ + if (n == 1) + { + q(vi->id,0) = vi -> q; + } + else if (n == 2) + { + q(vi->id,0) = vi -> q * vi->q; // raise it to the power of 2 to solve for line fields + } + else if (n == 4) + { + q(vi->id,0) = vi -> q * vi -> q * vi -> q * vi -> q; // raise it to the power of 4 to solve for cross fields + } + } + + q = M.multiply( q ); // q is now Mq + double normQ = 0; + for( i = 0; i < nv; i++ ) normQ += q(i,0).norm2(); + normQ = sqrt(normQ); + q = q/normQ; + + solvePositiveDefinite( A, u, q ); // Solves the equation Au=q into u + + double normU = 0; + for( i = 0; i < nv; i++ ) normU += u(i,0).norm2(); + normU = sqrt( normU ); + u = u/normU; + + // load result + i = 0; for( VertexIter vi = vertices.begin(); vi != vertices.end(); i++, vi++ ) vi->u = u(vi->id,0); + + ComputeIndices( n ); // computes the singularities + + // take roots (and possibly normalize) vertex data to get all the n-vectors (line fields and cross fields) + for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ + const Complex z = vi->u; + vi->u = Phase(z.arg()/n) * ( dir ? 1. : pow(z.norm(),1./n) ); + } + double t1 = wallClock(); printTiming( "compute aligned field", t1-t0 ); + cerr << "triangles: " << faces.size() << endl; + + // let the caller know what the actual t value was + cerr << "corresponding t value: " << 1./(1.+normU) << endl; + return 1./(1.+normU); + } + + // converts u to given alingment fields so that we can show just the alignments + // if someone wants to see + void Mesh::ComputeInputVectorFields( void ){ + setupqForGivenVectorAlignment(1); + for( VertexIter vi = vertices.begin(); vi != vertices.end(); vi++ ){ + vi->u = vi->q; + if (vi->u.norm() != 0) + { + vi->u = vi->u.unit(); + } + + } + return; + } + + // determine singularity index of each triangle + void Mesh::ComputeIndices( const unsigned int n ) { + + int totalIndex = 0; + for( FaceIter fi = faces.begin(); fi != faces.end(); fi++ ){ + if( fi->isBoundary() ) continue; + + // boundary of triangle ij, jk, ki + const HalfEdgeCIter he[3] = { fi->he, fi->he->next, fi->he->next->next }; + + // index computation; first the geometric curvature of this + // triangle + const double sigma = fmodPI(n*fi->K()/*+n*(he[0]->w()+he[1]->w()+he[2]->w())*/); // ADD w for flat bundle + + // now walk around the boundary and look by how much the + // vector field rotates. + const Complex u[3] = { he[0]->vertex->u, he[1]->vertex->u, he[2]->vertex->u }; + + // transport from vertex i to vertex j. + const double rij[3] = // ADD w for flat bundle + { fmodPI(n*(he[0]->r()/*+he[0]->w()*/)), + fmodPI(n*(he[1]->r()/*+he[1]->w()*/)), + fmodPI(n*(he[2]->r()/*+he[2]->w()*/)) }; + + // now figure out how much the u field rotates all by itself; + // transport a u_i to v_j and compare with u_j there + const double aij[3] = { + ( u[0].unit() * Phase( rij[0] ) * u[1].unit().conj() ).arg(), + ( u[1].unit() * Phase( rij[1] ) * u[2].unit().conj() ).arg(), + ( u[2].unit() * Phase( rij[2] ) * u[0].unit().conj() ).arg() }; + + //assert( abs( aij[0] + aij[1] + aij[2] - sigma ) < 4*DDGConstants::PI ); + + // final result (note that we have an overall "sign error" since + // we measured angles in CW orientation) + const double s = -( aij[0] + aij[1] + aij[2] - sigma ) / (2*DDGConstants::PI ); + + // this better be essentially an integer + assert( abs( s - lround( s ) ) < 1e-6 ); + + fi->sing = int( lround( s ) ); + + totalIndex += fi->sing; + + } // Face traversal + } // ComputeIndices + + void Mesh::clearSingularities( void ) + { + for( FaceIter f = faces.begin(); f != faces.end(); f++ ) + { + f->sing = 0; + } + } + +} // namespace DDG diff --git a/src/LinearContext.cpp b/src/LinearContext.cpp index 57bd528..609106c 100644 --- a/src/LinearContext.cpp +++ b/src/LinearContext.cpp @@ -1,25 +1,25 @@ -#include "LinearContext.h" - -namespace DDG -{ - // global context for linear solvers - LinearContext context; - - LinearContext :: LinearContext( void ) - // constructor - { - cholmod_l_start( &context ); - } - - LinearContext :: ~LinearContext( void ) - // destructor - { - cholmod_l_finish( &context ); - } - - LinearContext :: operator cholmod_common*( void ) - // allows LinearContext to be treated as a cholmod_common* - { - return &context; - } -} +#include "LinearContext.h" + +namespace DDG +{ + // global context for linear solvers + LinearContext context; + + LinearContext :: LinearContext( void ) + // constructor + { + cholmod_l_start( &context ); + } + + LinearContext :: ~LinearContext( void ) + // destructor + { + cholmod_l_finish( &context ); + } + + LinearContext :: operator cholmod_common*( void ) + // allows LinearContext to be treated as a cholmod_common* + { + return &context; + } +} diff --git a/src/MeshIO.cpp b/src/MeshIO.cpp index 1626528..1b6e64d 100755 --- a/src/MeshIO.cpp +++ b/src/MeshIO.cpp @@ -53,7 +53,7 @@ namespace DDG out << "# of the n possible vectors. The other vectors can be obtained" << endl; out << "# by rotating this one around the corresponding vertex normal," << endl; out << "# which is given in the usual vn line. Singularities in the" << endl; - out << "# field, which are associated with faces, are indicated by lines" << endl; + out << "#field, which are associated with faces, are indicated by lines" << endl; out << "#" << endl; out << "# singularity i s" << endl; out << "#" << endl; @@ -117,20 +117,21 @@ namespace DDG out << endl; } - out << "# degree " << n << endl; + out << "#degree " << n << endl; for( VertexCIter v = mesh.vertices.begin(); v != mesh.vertices.end(); v++ ) { - const Vector c = v->position; // vertex location + // const Vector c = v->position; // vertex location const Vector N = v->normal; // normal const Vector e1 = v->Xvector().unit(); // bases for tangent plane const Vector e2 = cross( N, e1 ); + const Vector e3 = cross( e2, N ); const double theta = v->u.arg(); - const Vector X = cos(theta)*e1 + sin(theta)*e2; + const Vector X = cos(theta)*e3 + sin(theta)*e2; int i = vertexIndex[v]; - out << "# field " << i << " " << X.x << " " << X.y << " " << X.z << endl; + out << "#field " << i << " " << X.x << " " << X.y << " " << X.z << endl; } int p = 1; @@ -141,7 +142,8 @@ namespace DDG if( f->isBoundary() ) continue; if( f->sing != 0 ) { - out << "# singularity " << p << " " << (double)f->sing/(double)n << endl; + // out << "#singularity " << p << " " << (double)f->sing/(double)n << endl; + out << "#singularity " << p << " " << (double)f->sing/(double)n << endl; } p++; } @@ -163,6 +165,8 @@ namespace DDG if( token == "vt" ) { readTexCoord( ss, data ); continue; } // texture coordinate if( token == "vn" ) { readNormal ( ss, data ); continue; } // vertex normal if( token == "f" ) { readFace ( ss, data ); continue; } // face + if( token == "vf" ) { readAlignment( ss, data ); continue; } // vertex vector alignment + if( token == "#attrsf" ) { readFaceAlignment( ss, data ); continue; } // face vector alignment if( token[0] == '#' ) continue; // comment if( token == "o" ) continue; // object name if( token == "g" ) continue; // group name @@ -235,6 +239,10 @@ namespace DDG VertexIter newVertex = mesh.vertices.insert( mesh.vertices.end(), Vertex() ); newVertex->position = data.positions[ i ]; newVertex->he = isolated.begin(); + if (data.alignments.size() != 0) + { + newVertex->alignment = data.alignments[i]; + } indexToVertex[ i ] = newVertex; } @@ -258,6 +266,10 @@ namespace DDG // create a new face FaceIter newFace = mesh.faces.insert( mesh.faces.end(), Face()); + // set the alignmet of the face + newFace->alignment = data.alignments[faceIndex]; + + // create a new half edge for each edge of the current face vector< HalfEdgeIter > hes( N ); for( int i = 0; i < N; i++ ) @@ -409,7 +421,25 @@ namespace DDG data.positions.push_back( Vector( x, y, z )); } + + void MeshIO :: readAlignment( stringstream& ss, MeshData& data ) + { + double x, y, z; + + ss >> x >> y >> z; + + data.alignments.push_back( Vector( x, y, z )); + } + + void MeshIO :: readFaceAlignment( stringstream& ss, MeshData& data ) + { + double x, y, z; + ss >> x >> y >> z; + + data.alignments.push_back( Vector( x, y, z )); + } + void MeshIO :: readTexCoord( stringstream& ss, MeshData& data ) { double u, v; diff --git a/src/Quaternion.cpp b/src/Quaternion.cpp index 9d84019..46ddb69 100644 --- a/src/Quaternion.cpp +++ b/src/Quaternion.cpp @@ -1,333 +1,333 @@ -#include -#include -#include - -using namespace std; - -#include "Quaternion.h" -#include "Complex.h" - -namespace DDG -{ - // CONSTRUCTORS ---------------------------------------------------------- - - Quaternion :: Quaternion( void ) - // initializes all components to zero - : s( 0. ), - v( 0., 0., 0. ) - {} - - Quaternion :: Quaternion( const Quaternion& q ) - // initializes from existing quaternion - : s( q.s ), - v( q.v ) - {} - - Quaternion :: Quaternion( double s_, double vi, double vj, double vk ) - // initializes with specified double (s) and imaginary (v) components - : s( s_ ), - v( vi, vj, vk ) - {} - - Quaternion :: Quaternion( double s_, const Vector& v_ ) - // initializes with specified double(s) and imaginary (v) components - : s( s_ ), - v( v_ ) - {} - - Quaternion :: Quaternion( double s_ ) - : s( s_ ), - v( 0., 0., 0. ) - {} - - Quaternion :: Quaternion( const Vector& v_ ) - : s( 0. ), - v( v_ ) - {} - - Quaternion::Quaternion( const Complex& z ) - : s( z.re ), v( z.im, 0., 0. ) - { - } - - // these codes are from SIGGRAPH course notes 23, Math for SIGGRAPH, - // 1989, page 203, 204 - Quaternion::Quaternion( const Vector& e1, const Vector& e2, const Vector& e3 ) - : s(0.), v(0.,0.,0.) - { - assert( abs( e1.norm2() - 1 ) < 1e-12 ); - assert( abs( e2.norm2() - 1 ) < 1e-12 ); - assert( abs( e3.norm2() - 1 ) < 1e-12 ); - assert( dot( e1, e2 ) < 1e-12 ); - assert( dot( e2, e3 ) < 1e-12 ); - assert( dot( e3, e1 ) < 1e-12 ); - assert( abs( dot( cross( e1, e2 ), e3 ) - 1. ) < 1e-12 ); - - // numerically stable way to convert a 3x3 matrix given by 3 - // orthonormal columns into a quaternion which affects that - // rotation - const double m[3][3] = - { { e1[0], e2[0], e3[0] }, - { e1[1], e2[1], e3[1] }, - { e1[2], e2[2], e3[2] } }; - const double trace = m[0][0] + m[1][1] + m[2][2]; - if( trace > 0. ){ - double w = sqrt( trace + 1 ); - s = w * .5; - w = .5 / w; - v[0] = ( m[2][1] - m[1][2] ) * w; - v[1] = ( m[0][2] - m[2][0] ) * w; - v[2] = ( m[1][0] - m[0][1] ) * w; - }else{ - unsigned int i = 0; - if( m[1][1] > m[0][0] ) i = 1; - if( m[2][2] > m[i][i] ) i = 2; - const unsigned int j = ( i + 1 ) % 3; - const unsigned int k = ( j + 1 ) % 3; - double w = sqrt( ( m[i][i] - ( m[j][j] + m[k][k] ) ) + 1.0 ); - v[i] = w * .5; - w = .5 / w; - s = ( m[k][j] - m[j][k] ) * w; - v[j] = ( m[j][i] + m[i][j] ) * w; - v[k] = ( m[k][i] + m[i][k] ) * w; - } - // if( s < 0 ){ (*this) *= -1; cerr << "q"; } - } - - // ASSIGNMENT OPERATORS -------------------------------------------------- - - const Quaternion& Quaternion :: operator=( double _s ) - // assigns a purely real quaternion with real value s - { - s = _s; - v = Vector( 0., 0., 0. ); - - return *this; - } - - const Quaternion& Quaternion :: operator=( const Vector& _v ) - // assigns a purely real quaternion with imaginary value v - { - s = 0.; - v = _v; - - return *this; - } - - - // ACCESSORS ------------------------------------------------------------- - - double& Quaternion::operator[]( int index ) - // returns reference to the specified component (0-based indexing: double, i, j, k) - { - return ( &s )[ index ]; - } - - const double& Quaternion::operator[]( int index ) const - // returns const reference to the specified component (0-based indexing: double, i, j, k) - { - return ( &s )[ index ]; - } - - void Quaternion::toMatrix( double Q[4][4] ) const - // returns 4x4 matrix representation - { - Q[0][0] = s; Q[0][1] = -v.x; Q[0][2] = -v.y; Q[0][3] = -v.z; - Q[1][0] = v.x; Q[1][1] = s; Q[1][2] = -v.z; Q[1][3] = v.y; - Q[2][0] = v.y; Q[2][1] = v.z; Q[2][2] = s; Q[2][3] = -v.x; - Q[3][0] = v.z; Q[3][1] = -v.y; Q[3][2] = v.x; Q[3][3] = s; - } - - double& Quaternion::re( void ) - // returns reference to double part - { - return s; - } - - const double& Quaternion::re( void ) const - // returns const reference to double part - { - return s; - } - - Vector& Quaternion::im( void ) - // returns reference to imaginary part - { - return v; - } - - const Vector& Quaternion::im( void ) const - // returns const reference to imaginary part - { - return v; - } - - - // VECTOR SPACE OPERATIONS ----------------------------------------------- - - Quaternion Quaternion::operator+( const Quaternion& q ) const - // addition - { - return Quaternion( s+q.s, v+q.v ); - } - - Quaternion Quaternion::operator-( const Quaternion& q ) const - // subtraction - { - return Quaternion( s-q.s, v-q.v ); - } - - Quaternion Quaternion::operator-( void ) const - // negation - { - return Quaternion( -s, -v ); - } - - Quaternion Quaternion::operator*( double c ) const - // scalar multiplication - { - return Quaternion( s*c, v*c ); - } - - Quaternion operator*( double c, const Quaternion& q ) - // scalar multiplication - { - return q*c; - } - - Quaternion Quaternion::operator/( double c ) const - // scalar division - { - return Quaternion( s/c, v/c ); - } - - void Quaternion::operator+=( const Quaternion& q ) - // addition / assignment - { - s += q.s; - v += q.v; - } - - void Quaternion::operator+=( double c ) - // addition / assignment of pure real - { - s += c; - } - - void Quaternion::operator-=( const Quaternion& q ) - // subtraction / assignment - { - s -= q.s; - v -= q.v; - } - - void Quaternion::operator-=( double c ) - // subtraction / assignment of pure real - { - s -= c; - } - - void Quaternion::operator*=( double c ) - // scalar multiplication / assignment - { - s *= c; - v *= c; - } - - void Quaternion::operator/=( double c ) - // scalar division / assignment - { - s /= c; - v /= c; - } - - - // ALGEBRAIC OPERATIONS -------------------------------------------------- - - Quaternion Quaternion::operator*( const Quaternion& q ) const - // Hamilton product - { - const double& s1( s ); - const double& s2( q.s ); - const Vector& v1( v ); - const Vector& v2( q.v ); - - return Quaternion( s1*s2 - dot(v1,v2), s1*v2 + s2*v1 + cross(v1,v2) ); - } - - void Quaternion::operator*=( const Quaternion& q ) - // Hamilton product / assignment - { - *this = ( *this * q ); - } - - Quaternion Quaternion::conj( void ) const - // conjugation - { - return Quaternion( s, -v ); - } - - Quaternion Quaternion::inv( void ) const - { - return ( this->conj() ) / this->norm2(); - } - - - // NORMS ----------------------------------------------------------------- - - double Quaternion::norm( void ) const - // returns Euclidean length - { - return sqrt( s*s + v.x*v.x + v.y*v.y + v.z*v.z ); - } - - double Quaternion::norm2( void ) const - // returns Euclidean length squared - { - return s*s + dot(v,v); - } - - Quaternion Quaternion::unit( void ) const - // returns unit quaternion - { - return *this / norm(); - } - - void Quaternion::normalize( void ) - // divides by Euclidean length - { - *this /= norm(); - } - - - // GEOMETRIC OPERATIONS -------------------------------------------------- - - Quaternion slerp( const Quaternion& q0, const Quaternion& q1, double t ) - // spherical-linear interpolation - { - // interpolate length - double m0 = q0.norm(); - double m1 = q1.norm(); - double m = (1-t)*m0 + t*m1; - - // interpolate direction - Quaternion p0 = q0 / m0; - Quaternion p1 = q1 / m1; - double theta = acos(( p0.conj()*p1 ).re() ); - Quaternion p = ( sin((1-t)*theta)*p0 + sin(t*theta)*p1 )/sin(theta); - - return m*p; - } - - - // I/O ------------------------------------------------------------------------- - - std::ostream& operator<<( std::ostream& os, const Quaternion& q ) - // prints components - { - os << "( " << q.re() << ", " << q.im() << " )"; - - return os; - } -} - +#include +#include +#include + +using namespace std; + +#include "Quaternion.h" +#include "Complex.h" + +namespace DDG +{ + // CONSTRUCTORS ---------------------------------------------------------- + + Quaternion :: Quaternion( void ) + // initializes all components to zero + : s( 0. ), + v( 0., 0., 0. ) + {} + + Quaternion :: Quaternion( const Quaternion& q ) + // initializes from existing quaternion + : s( q.s ), + v( q.v ) + {} + + Quaternion :: Quaternion( double s_, double vi, double vj, double vk ) + // initializes with specified double (s) and imaginary (v) components + : s( s_ ), + v( vi, vj, vk ) + {} + + Quaternion :: Quaternion( double s_, const Vector& v_ ) + // initializes with specified double(s) and imaginary (v) components + : s( s_ ), + v( v_ ) + {} + + Quaternion :: Quaternion( double s_ ) + : s( s_ ), + v( 0., 0., 0. ) + {} + + Quaternion :: Quaternion( const Vector& v_ ) + : s( 0. ), + v( v_ ) + {} + + Quaternion::Quaternion( const Complex& z ) + : s( z.re ), v( z.im, 0., 0. ) + { + } + + // these codes are from SIGGRAPH course notes 23, Math for SIGGRAPH, + // 1989, page 203, 204 + Quaternion::Quaternion( const Vector& e1, const Vector& e2, const Vector& e3 ) + : s(0.), v(0.,0.,0.) + { + assert( abs( e1.norm2() - 1 ) < 1e-12 ); + assert( abs( e2.norm2() - 1 ) < 1e-12 ); + assert( abs( e3.norm2() - 1 ) < 1e-12 ); + assert( dot( e1, e2 ) < 1e-12 ); + assert( dot( e2, e3 ) < 1e-12 ); + assert( dot( e3, e1 ) < 1e-12 ); + assert( abs( dot( cross( e1, e2 ), e3 ) - 1. ) < 1e-12 ); + + // numerically stable way to convert a 3x3 matrix given by 3 + // orthonormal columns into a quaternion which affects that + // rotation + const double m[3][3] = + { { e1[0], e2[0], e3[0] }, + { e1[1], e2[1], e3[1] }, + { e1[2], e2[2], e3[2] } }; + const double trace = m[0][0] + m[1][1] + m[2][2]; + if( trace > 0. ){ + double w = sqrt( trace + 1 ); + s = w * .5; + w = .5 / w; + v[0] = ( m[2][1] - m[1][2] ) * w; + v[1] = ( m[0][2] - m[2][0] ) * w; + v[2] = ( m[1][0] - m[0][1] ) * w; + }else{ + unsigned int i = 0; + if( m[1][1] > m[0][0] ) i = 1; + if( m[2][2] > m[i][i] ) i = 2; + const unsigned int j = ( i + 1 ) % 3; + const unsigned int k = ( j + 1 ) % 3; + double w = sqrt( ( m[i][i] - ( m[j][j] + m[k][k] ) ) + 1.0 ); + v[i] = w * .5; + w = .5 / w; + s = ( m[k][j] - m[j][k] ) * w; + v[j] = ( m[j][i] + m[i][j] ) * w; + v[k] = ( m[k][i] + m[i][k] ) * w; + } + // if( s < 0 ){ (*this) *= -1; cerr << "q"; } + } + + // ASSIGNMENT OPERATORS -------------------------------------------------- + + const Quaternion& Quaternion :: operator=( double _s ) + // assigns a purely real quaternion with real value s + { + s = _s; + v = Vector( 0., 0., 0. ); + + return *this; + } + + const Quaternion& Quaternion :: operator=( const Vector& _v ) + // assigns a purely real quaternion with imaginary value v + { + s = 0.; + v = _v; + + return *this; + } + + + // ACCESSORS ------------------------------------------------------------- + + double& Quaternion::operator[]( int index ) + // returns reference to the specified component (0-based indexing: double, i, j, k) + { + return ( &s )[ index ]; + } + + const double& Quaternion::operator[]( int index ) const + // returns const reference to the specified component (0-based indexing: double, i, j, k) + { + return ( &s )[ index ]; + } + + void Quaternion::toMatrix( double Q[4][4] ) const + // returns 4x4 matrix representation + { + Q[0][0] = s; Q[0][1] = -v.x; Q[0][2] = -v.y; Q[0][3] = -v.z; + Q[1][0] = v.x; Q[1][1] = s; Q[1][2] = -v.z; Q[1][3] = v.y; + Q[2][0] = v.y; Q[2][1] = v.z; Q[2][2] = s; Q[2][3] = -v.x; + Q[3][0] = v.z; Q[3][1] = -v.y; Q[3][2] = v.x; Q[3][3] = s; + } + + double& Quaternion::re( void ) + // returns reference to double part + { + return s; + } + + const double& Quaternion::re( void ) const + // returns const reference to double part + { + return s; + } + + Vector& Quaternion::im( void ) + // returns reference to imaginary part + { + return v; + } + + const Vector& Quaternion::im( void ) const + // returns const reference to imaginary part + { + return v; + } + + + // VECTOR SPACE OPERATIONS ----------------------------------------------- + + Quaternion Quaternion::operator+( const Quaternion& q ) const + // addition + { + return Quaternion( s+q.s, v+q.v ); + } + + Quaternion Quaternion::operator-( const Quaternion& q ) const + // subtraction + { + return Quaternion( s-q.s, v-q.v ); + } + + Quaternion Quaternion::operator-( void ) const + // negation + { + return Quaternion( -s, -v ); + } + + Quaternion Quaternion::operator*( double c ) const + // scalar multiplication + { + return Quaternion( s*c, v*c ); + } + + Quaternion operator*( double c, const Quaternion& q ) + // scalar multiplication + { + return q*c; + } + + Quaternion Quaternion::operator/( double c ) const + // scalar division + { + return Quaternion( s/c, v/c ); + } + + void Quaternion::operator+=( const Quaternion& q ) + // addition / assignment + { + s += q.s; + v += q.v; + } + + void Quaternion::operator+=( double c ) + // addition / assignment of pure real + { + s += c; + } + + void Quaternion::operator-=( const Quaternion& q ) + // subtraction / assignment + { + s -= q.s; + v -= q.v; + } + + void Quaternion::operator-=( double c ) + // subtraction / assignment of pure real + { + s -= c; + } + + void Quaternion::operator*=( double c ) + // scalar multiplication / assignment + { + s *= c; + v *= c; + } + + void Quaternion::operator/=( double c ) + // scalar division / assignment + { + s /= c; + v /= c; + } + + + // ALGEBRAIC OPERATIONS -------------------------------------------------- + + Quaternion Quaternion::operator*( const Quaternion& q ) const + // Hamilton product + { + const double& s1( s ); + const double& s2( q.s ); + const Vector& v1( v ); + const Vector& v2( q.v ); + + return Quaternion( s1*s2 - dot(v1,v2), s1*v2 + s2*v1 + cross(v1,v2) ); + } + + void Quaternion::operator*=( const Quaternion& q ) + // Hamilton product / assignment + { + *this = ( *this * q ); + } + + Quaternion Quaternion::conj( void ) const + // conjugation + { + return Quaternion( s, -v ); + } + + Quaternion Quaternion::inv( void ) const + { + return ( this->conj() ) / this->norm2(); + } + + + // NORMS ----------------------------------------------------------------- + + double Quaternion::norm( void ) const + // returns Euclidean length + { + return sqrt( s*s + v.x*v.x + v.y*v.y + v.z*v.z ); + } + + double Quaternion::norm2( void ) const + // returns Euclidean length squared + { + return s*s + dot(v,v); + } + + Quaternion Quaternion::unit( void ) const + // returns unit quaternion + { + return *this / norm(); + } + + void Quaternion::normalize( void ) + // divides by Euclidean length + { + *this /= norm(); + } + + + // GEOMETRIC OPERATIONS -------------------------------------------------- + + Quaternion slerp( const Quaternion& q0, const Quaternion& q1, double t ) + // spherical-linear interpolation + { + // interpolate length + double m0 = q0.norm(); + double m1 = q1.norm(); + double m = (1-t)*m0 + t*m1; + + // interpolate direction + Quaternion p0 = q0 / m0; + Quaternion p1 = q1 / m1; + double theta = acos(( p0.conj()*p1 ).re() ); + Quaternion p = ( sin((1-t)*theta)*p0 + sin(t*theta)*p1 )/sin(theta); + + return m*p; + } + + + // I/O ------------------------------------------------------------------------- + + std::ostream& operator<<( std::ostream& os, const Quaternion& q ) + // prints components + { + os << "( " << q.re() << ", " << q.im() << " )"; + + return os; + } +} + diff --git a/src/Real.cpp b/src/Real.cpp index 3e6a49a..1457774 100644 --- a/src/Real.cpp +++ b/src/Real.cpp @@ -1,71 +1,71 @@ -#include "Real.h" -#include - -namespace DDG -{ - Real :: Real( double x ) - // constructs real number with value x - : value( x ) - {} - - Real :: operator double( void ) const - // type cast to double - { - return value; - } - - void Real :: operator+=( double x ) - // increment - { - value += x; - } - - void Real :: operator-=( double x ) - // decrement - { - value -= x; - } - - void Real :: operator*=( double x ) - // multiply - { - value *= x; - } - - void Real :: operator/=( double x ) - // divide - { - value /= x; - } - - Real Real :: conj( void ) const - // simply returns the value (for compatibility w/ complex numbers) - { - return value; - } - - Real Real :: inv( void ) const - // returns inverse - { - return 1. / value; - } - - double Real :: norm( void ) const - // returns norm - { - return fabs( value ); - } - - double Real :: norm2( void ) const - // returns norm squared - { - return value * value; - } - - Real Real :: unit( void ) const - // returns number with unit norm and same sign - { - return value / norm(); - } -} - +#include "Real.h" +#include + +namespace DDG +{ + Real :: Real( double x ) + // constructs real number with value x + : value( x ) + {} + + Real :: operator double( void ) const + // type cast to double + { + return value; + } + + void Real :: operator+=( double x ) + // increment + { + value += x; + } + + void Real :: operator-=( double x ) + // decrement + { + value -= x; + } + + void Real :: operator*=( double x ) + // multiply + { + value *= x; + } + + void Real :: operator/=( double x ) + // divide + { + value /= x; + } + + Real Real :: conj( void ) const + // simply returns the value (for compatibility w/ complex numbers) + { + return value; + } + + Real Real :: inv( void ) const + // returns inverse + { + return 1. / value; + } + + double Real :: norm( void ) const + // returns norm + { + return fabs( value ); + } + + double Real :: norm2( void ) const + // returns norm squared + { + return value * value; + } + + Real Real :: unit( void ) const + // returns number with unit norm and same sign + { + return value / norm(); + } +} + diff --git a/src/SectionIntegrals.cpp b/src/SectionIntegrals.cpp index e2e113f..08c6223 100644 --- a/src/SectionIntegrals.cpp +++ b/src/SectionIntegrals.cpp @@ -1,241 +1,241 @@ -#include -#include -#include -#include "Complex.h" -#include "SectionIntegrals.h" - -/* - * C version of r1mach and d1mach from core (netlib) - * specialized for IEEE arithmetic - * - * MACHINE CONSTANTS (s for single, d for double) - * {S|D}1MACH(1) = B**(EMIN-1), THE SMALLEST POSITIVE MAGNITUDE. - * {S|D}1MACH(2) = B**EMAX*(1 - B**(-T)), THE LARGEST MAGNITUDE. - * {S|D}1MACH(3) = B**(-T), THE SMALLEST RELATIVE SPACING. - * {S|D}1MACH(4) = B**(1-T), THE LARGEST RELATIVE SPACING. - * {S|D}1MACH(5) = LOG10(B) - */ -// #define M_PI 3.14159265358979323846264338328 -// #define M_LN2 0.693147180559945309417232121458 -static double mach[5] = {2.2250738585072014e-308, - 1.7976931348623157e+308, - 1.1102230246251565e-16, - 2.2204460492503131e-16, - 3.0102999566398120e-01}; - -static const double s11r[21] = { - 0.0448875760891932036595562553276,0.0278480909574822965157922173757, - 0.00394490790249120295818107628687,-0.00157697939158619172562804651751, - -0.0000886578217796691901712579357311,0.0000301708056772263120428135787035, - 9.521839632337438230089618156e-7,-3.00028307455805582080773625835e-7, - -6.14917009583473496433650831019e-9,1.85133588988085286010092653662e-9, - 2.67848449041765751590373973224e-11,-7.82394575359355297437491915705e-12, - -8.44240072511090922609176843848e-14,2.41333276776166240844516922196e-14, - 2.02015531985181413114834031833e-16,-5.68171271075270422851146478874e-17, - -3.80082421064644521052871349836e-19,1.05551739229841670238163200361e-19, - 5.7758422925275435667221605993e-22,-1.58774695838716531303310462626e-22, - -7.24181766014636685673730787292e-25 -}; - -static const double s11i[21] = { - 0.100116671557942715638078149123,0.0429600096728215971268270800599, - -0.00799014859477407505770275088389,-0.000664114111384495427035329182866, - 0.000240714510952202000864758517061,9.89085259369337382687437812294e-6, - -3.22040860178194578481012477174e-6,-8.08401148192350365282200249069e-8, - 2.48351290049260966544658921605e-8,4.24154988067028660399867468349e-10, - -1.25611378629704490237955971836e-10,-1.56053077919196502557674988724e-12, - 4.50565044006801278137904597946e-13,4.2641179237225098728291226479e-15, - -1.2084245714879456268965803807e-15,-9.01338537885038989528688031325e-18, - 2.5180796700698002962991581923e-18,1.51955263898294940481729370636e-20, - -4.19737873024216866691628952458e-21,-2.092488792285595339755624521e-23, - 5.72708467031136321701747126611e-24 -}; - -static const double s12r[21] = { - -0.376145877558191778393359413441,0.0775244431850198578126067647425, - 0.0120396593748540634695397747695,-0.00385683684390247509721340352427, - -0.000232359275790231209370627606991,0.0000697318379146209092637310696007, - 2.32354473986257272021507575389e-6,-6.71692140309360615694979580992e-7, - -1.43946361256617673523038166877e-8,4.06087820907414336567714443732e-9, - 6.10183339004616075548375321861e-11,-1.69196418769523832825063863136e-11, - -1.88669746820541798989965091628e-13,5.16473095452962111184823547686e-14, - 4.45066881692009291504139737861e-16,-1.20625107617859803735741992452e-16, - -8.28193837331508300767103116139e-19,2.22680015825230528892642524445e-19, - 1.24755889505424049389100515561e-21,-3.33254971913153176741833960484e-22, - -1.55307002839777371508497520751e-24 -}; - -static const double s12i[21] = { - 0.0527472790869782317601048210983,0.00823962722148093961886198320927, - -0.0205185842051817330153151013327,-0.00184683218270819613487368071941, - 0.000569681886932212757533488372406,0.0000248774530818801164177266528608, - -7.31121019876580624171992432347e-6,-1.92744564223806538367454388776e-7, - 5.49794278719049727550379096876e-8,9.78237385539447442446850072421e-10, - -2.7341624177723508216430132999e-10,-3.51839815887772323640101921381e-12, - 9.68934411607055794052256859665e-13,9.45703963505047353201918875825e-15, - -2.57516976113400217760868402425e-15,-1.97419921753098238455550504742e-17, - 5.32820017906655555903355375475e-18,3.29581793797656865402793252539e-20, - -8.83137325823594007269279476114e-21,-4.50279718100548728336329365981e-23, - 1.19941679774924468309434420379e-23 -}; - -static const double m12r[21] = { - 0.148523151773238914750879360089,-0.0117856118001224048185631301904, - -0.00248887208039014371691400683052,0.000250045060357076469386198883676, - 0.0000227217776065076434637230864113,-2.48764935230787745662127026799e-6, - -1.32138506847814502856384193414e-7,1.50966754393693942843767293542e-8, - 5.3472999553162661403204445045e-10,-6.26136041009708550772228055719e-11, - -1.59574066624737000616598104732e-12,1.89788785691219687197167013023e-13, - 3.66030609080549274006207730375e-15,-4.39955659500182569051978906011e-16, - -6.65848768159000092224193226014e-18,8.06343127453005031535923212263e-19, - 9.84397490339224661524630997726e-21,-1.19869887155210161836484730378e-21, - -1.20634550494837590549640883469e-23,1.47512193662595435067359954287e-24, - 1.24549093756962710863096766634e-26 -}; - -static const double m12i[21] = { - -0.0454399665519585306943416687117,-0.0210517666740874019203591488894, - 0.00194647501081621201871675259482,0.000253466068123907163346571754613, - -0.0000268083453427538717591876419304,-1.82138740336918117478832696004e-6, - 2.04357511048425337951376869602e-7,8.75944656915074206478854298947e-9, - -1.01466837126303146739791005703e-9,-3.02573132377805421636557302451e-11, - 3.57358222114420372764650037191e-12,7.88121312149152771558608913996e-14, - -9.42758576193708862552405242331e-15,-1.60439904050827900099939709069e-16, - 1.93624791035947590366500765061e-17,2.62394448214143482490534256935e-19, - -3.18700789496399461681365308408e-20,-3.52400207248027768109209530864e-22, - 4.30074555255053206057921088056e-23,3.95655079023456015736315286131e-25, - -4.84642137915095135859812028886e-26 -}; - -/* - * evaluate a chebyshev series - * adapted from fortran csevl - */ -static double -csevl( const double x, const double *cs, unsigned int n ) -{ - double b2 = 0, b1 = 0, b0 = 0; - const double twox = 2 * x; - - while( n-- ){ - b2 = b1; - b1 = b0; - b0 = twox * b1 - b2 + cs[n]; - } - - return ( b0 - b2 )/2; -} - -/* - * from the original fortran inits - * april 1977 version. w. fullerton, c3, los alamos scientific lab. - * - * initialize the orthogonal series so that inits is the number of terms - * needed to insure the error is no larger than eta. ordinarily, eta - * will be chosen to be one-tenth machine precision. - */ -static unsigned int -inits( const double *series, unsigned int n, const double eta ){ - double err = 0; - - while( err <= eta && n-- ){ - err += fabs( series[n] ); - } - - return n++; -} - -static DDG::Complex -s11( const double t ){ - // how many entries to use? - static unsigned int ns11r = 0, ns11i = 0; - - if( !ns11r ){ - ns11r = inits( s11r, sizeof s11r / sizeof *s11r, mach[2] / 10 ); - ns11i = inits( s11i, sizeof s11i / sizeof *s11i, mach[2] / 10 ); - } - return DDG::Complex( csevl( t, s11r, ns11r ), csevl( t, s11i, ns11i ) ); -} - -static DDG::Complex -s12( const double t ){ - // how many entries to use? - static unsigned int ns12r = 0, ns12i = 0; - - if( !ns12r ){ - ns12r = inits( s12r, sizeof s12r / sizeof *s12r, mach[2] / 10 ); - ns12i = inits( s12i, sizeof s12i / sizeof *s12i, mach[2] / 10 ); - } - return DDG::Complex( csevl( t, s12r, ns12r ), csevl( t, s12i, ns12i ) ); -} - -static DDG::Complex -m12( const double t ){ - // how many entries to use? - static unsigned int nm12r = 0, nm12i = 0; - - if( !nm12r ){ - nm12r = inits( m12r, sizeof m12r / sizeof *m12r, mach[2] / 10 ); - nm12i = inits( m12i, sizeof m12i / sizeof *m12i, mach[2] / 10 ); - } - return DDG::Complex( csevl( t, m12r, nm12r ), csevl( t, m12i, nm12i ) ); -} - -DDG::Complex -DirichletIJDirect( const double s, const double gii, const double gij, const double gjj ){ - const double s2(s*s); - const DDG::Complex is(0,s), is3(0,s*s2); - const double s4(s2*s2); - return - (((3*gii + 4*gij + 3*gjj) + is*(gii + gij + gjj) - is3*gij/6 - + DDG::Complex(cos(s),sin(s))*(-(3*gii + 4*gij + 3*gjj) - + is*(2*gii + 3*gij + 2*gjj) - + s2*(gii + 2*gij + gjj)/2))/s4 - + (gii - 2*gij + gjj)/24 - is*(gii - 2*gij + gjj)/60); -} - -// gii = |e_{ki}|^2, gij = , gjj = |e_{jk}|^2 -DDG::Complex -DirichletIJ( const double s, const double gii, const double gij, const double gjj ){ - if( fabs(s) > M_PI ){ - return DirichletIJDirect( s, gii, gij, gjj ); - }else if( s > 0 ){ - // between 0 and pi - const double t = s*2/M_PI - 1; // normalize - return ((gii + gjj)*s11(t) + gij*s12(t)).conj(); - }else{ - // between -pi and 0 - const double t = -s*2/M_PI - 1; // normalize - return ((gii + gjj)*s11(t) + gij*s12(t)); - } -} - -// gjj = |e_{ij}|^2, gjk = , gkk = |e_{ki}|^2 -double -DirichletII( const double s, const double gjj, const double gjk, const double gkk ){ - return .25*((gjj-2*gjk+gkk)+s*s*(gjj+gjk+gkk)/90); -} - -double -MassII( void ){ return 1/6.; } - -DDG::Complex -MassIJDirect( const double s ){ - const double s2 = s*s; - const double s4 = s2*s2; - const DDG::Complex is(0,s), is3(0,s*s2); - return (6*DDG::Complex(cos(s), sin(s)) - 6 - 6*is + 3*s2 + is3)/(3*s4); -} - -DDG::Complex -MassIJ( const double s ){ - if( fabs(s) > M_PI ){ - return MassIJDirect( s ); - }else if( s > 0 ){ - const double t = s/M_PI*2-1; - return m12(t).conj(); - }else{ - const double t = -s/M_PI*2-1; - return m12(t); - } -} +#include +#include +#include +#include "Complex.h" +#include "SectionIntegrals.h" + +/* + * C version of r1mach and d1mach from core (netlib) + * specialized for IEEE arithmetic + * + * MACHINE CONSTANTS (s for single, d for double) + * {S|D}1MACH(1) = B**(EMIN-1), THE SMALLEST POSITIVE MAGNITUDE. + * {S|D}1MACH(2) = B**EMAX*(1 - B**(-T)), THE LARGEST MAGNITUDE. + * {S|D}1MACH(3) = B**(-T), THE SMALLEST RELATIVE SPACING. + * {S|D}1MACH(4) = B**(1-T), THE LARGEST RELATIVE SPACING. + * {S|D}1MACH(5) = LOG10(B) + */ +// #define M_PI 3.14159265358979323846264338328 +// #define M_LN2 0.693147180559945309417232121458 +static double mach[5] = {2.2250738585072014e-308, + 1.7976931348623157e+308, + 1.1102230246251565e-16, + 2.2204460492503131e-16, + 3.0102999566398120e-01}; + +static const double s11r[21] = { + 0.0448875760891932036595562553276,0.0278480909574822965157922173757, + 0.00394490790249120295818107628687,-0.00157697939158619172562804651751, + -0.0000886578217796691901712579357311,0.0000301708056772263120428135787035, + 9.521839632337438230089618156e-7,-3.00028307455805582080773625835e-7, + -6.14917009583473496433650831019e-9,1.85133588988085286010092653662e-9, + 2.67848449041765751590373973224e-11,-7.82394575359355297437491915705e-12, + -8.44240072511090922609176843848e-14,2.41333276776166240844516922196e-14, + 2.02015531985181413114834031833e-16,-5.68171271075270422851146478874e-17, + -3.80082421064644521052871349836e-19,1.05551739229841670238163200361e-19, + 5.7758422925275435667221605993e-22,-1.58774695838716531303310462626e-22, + -7.24181766014636685673730787292e-25 +}; + +static const double s11i[21] = { + 0.100116671557942715638078149123,0.0429600096728215971268270800599, + -0.00799014859477407505770275088389,-0.000664114111384495427035329182866, + 0.000240714510952202000864758517061,9.89085259369337382687437812294e-6, + -3.22040860178194578481012477174e-6,-8.08401148192350365282200249069e-8, + 2.48351290049260966544658921605e-8,4.24154988067028660399867468349e-10, + -1.25611378629704490237955971836e-10,-1.56053077919196502557674988724e-12, + 4.50565044006801278137904597946e-13,4.2641179237225098728291226479e-15, + -1.2084245714879456268965803807e-15,-9.01338537885038989528688031325e-18, + 2.5180796700698002962991581923e-18,1.51955263898294940481729370636e-20, + -4.19737873024216866691628952458e-21,-2.092488792285595339755624521e-23, + 5.72708467031136321701747126611e-24 +}; + +static const double s12r[21] = { + -0.376145877558191778393359413441,0.0775244431850198578126067647425, + 0.0120396593748540634695397747695,-0.00385683684390247509721340352427, + -0.000232359275790231209370627606991,0.0000697318379146209092637310696007, + 2.32354473986257272021507575389e-6,-6.71692140309360615694979580992e-7, + -1.43946361256617673523038166877e-8,4.06087820907414336567714443732e-9, + 6.10183339004616075548375321861e-11,-1.69196418769523832825063863136e-11, + -1.88669746820541798989965091628e-13,5.16473095452962111184823547686e-14, + 4.45066881692009291504139737861e-16,-1.20625107617859803735741992452e-16, + -8.28193837331508300767103116139e-19,2.22680015825230528892642524445e-19, + 1.24755889505424049389100515561e-21,-3.33254971913153176741833960484e-22, + -1.55307002839777371508497520751e-24 +}; + +static const double s12i[21] = { + 0.0527472790869782317601048210983,0.00823962722148093961886198320927, + -0.0205185842051817330153151013327,-0.00184683218270819613487368071941, + 0.000569681886932212757533488372406,0.0000248774530818801164177266528608, + -7.31121019876580624171992432347e-6,-1.92744564223806538367454388776e-7, + 5.49794278719049727550379096876e-8,9.78237385539447442446850072421e-10, + -2.7341624177723508216430132999e-10,-3.51839815887772323640101921381e-12, + 9.68934411607055794052256859665e-13,9.45703963505047353201918875825e-15, + -2.57516976113400217760868402425e-15,-1.97419921753098238455550504742e-17, + 5.32820017906655555903355375475e-18,3.29581793797656865402793252539e-20, + -8.83137325823594007269279476114e-21,-4.50279718100548728336329365981e-23, + 1.19941679774924468309434420379e-23 +}; + +static const double m12r[21] = { + 0.148523151773238914750879360089,-0.0117856118001224048185631301904, + -0.00248887208039014371691400683052,0.000250045060357076469386198883676, + 0.0000227217776065076434637230864113,-2.48764935230787745662127026799e-6, + -1.32138506847814502856384193414e-7,1.50966754393693942843767293542e-8, + 5.3472999553162661403204445045e-10,-6.26136041009708550772228055719e-11, + -1.59574066624737000616598104732e-12,1.89788785691219687197167013023e-13, + 3.66030609080549274006207730375e-15,-4.39955659500182569051978906011e-16, + -6.65848768159000092224193226014e-18,8.06343127453005031535923212263e-19, + 9.84397490339224661524630997726e-21,-1.19869887155210161836484730378e-21, + -1.20634550494837590549640883469e-23,1.47512193662595435067359954287e-24, + 1.24549093756962710863096766634e-26 +}; + +static const double m12i[21] = { + -0.0454399665519585306943416687117,-0.0210517666740874019203591488894, + 0.00194647501081621201871675259482,0.000253466068123907163346571754613, + -0.0000268083453427538717591876419304,-1.82138740336918117478832696004e-6, + 2.04357511048425337951376869602e-7,8.75944656915074206478854298947e-9, + -1.01466837126303146739791005703e-9,-3.02573132377805421636557302451e-11, + 3.57358222114420372764650037191e-12,7.88121312149152771558608913996e-14, + -9.42758576193708862552405242331e-15,-1.60439904050827900099939709069e-16, + 1.93624791035947590366500765061e-17,2.62394448214143482490534256935e-19, + -3.18700789496399461681365308408e-20,-3.52400207248027768109209530864e-22, + 4.30074555255053206057921088056e-23,3.95655079023456015736315286131e-25, + -4.84642137915095135859812028886e-26 +}; + +/* + * evaluate a chebyshev series + * adapted from fortran csevl + */ +static double +csevl( const double x, const double *cs, unsigned int n ) +{ + double b2 = 0, b1 = 0, b0 = 0; + const double twox = 2 * x; + + while( n-- ){ + b2 = b1; + b1 = b0; + b0 = twox * b1 - b2 + cs[n]; + } + + return ( b0 - b2 )/2; +} + +/* + * from the original fortran inits + * april 1977 version. w. fullerton, c3, los alamos scientific lab. + * + * initialize the orthogonal series so that inits is the number of terms + * needed to insure the error is no larger than eta. ordinarily, eta + * will be chosen to be one-tenth machine precision. + */ +static unsigned int +inits( const double *series, unsigned int n, const double eta ){ + double err = 0; + + while( err <= eta && n-- ){ + err += fabs( series[n] ); + } + + return n++; +} + +static DDG::Complex +s11( const double t ){ + // how many entries to use? + static unsigned int ns11r = 0, ns11i = 0; + + if( !ns11r ){ + ns11r = inits( s11r, sizeof s11r / sizeof *s11r, mach[2] / 10 ); + ns11i = inits( s11i, sizeof s11i / sizeof *s11i, mach[2] / 10 ); + } + return DDG::Complex( csevl( t, s11r, ns11r ), csevl( t, s11i, ns11i ) ); +} + +static DDG::Complex +s12( const double t ){ + // how many entries to use? + static unsigned int ns12r = 0, ns12i = 0; + + if( !ns12r ){ + ns12r = inits( s12r, sizeof s12r / sizeof *s12r, mach[2] / 10 ); + ns12i = inits( s12i, sizeof s12i / sizeof *s12i, mach[2] / 10 ); + } + return DDG::Complex( csevl( t, s12r, ns12r ), csevl( t, s12i, ns12i ) ); +} + +static DDG::Complex +m12( const double t ){ + // how many entries to use? + static unsigned int nm12r = 0, nm12i = 0; + + if( !nm12r ){ + nm12r = inits( m12r, sizeof m12r / sizeof *m12r, mach[2] / 10 ); + nm12i = inits( m12i, sizeof m12i / sizeof *m12i, mach[2] / 10 ); + } + return DDG::Complex( csevl( t, m12r, nm12r ), csevl( t, m12i, nm12i ) ); +} + +DDG::Complex +DirichletIJDirect( const double s, const double gii, const double gij, const double gjj ){ + const double s2(s*s); + const DDG::Complex is(0,s), is3(0,s*s2); + const double s4(s2*s2); + return + (((3*gii + 4*gij + 3*gjj) + is*(gii + gij + gjj) - is3*gij/6 + + DDG::Complex(cos(s),sin(s))*(-(3*gii + 4*gij + 3*gjj) + + is*(2*gii + 3*gij + 2*gjj) + + s2*(gii + 2*gij + gjj)/2))/s4 + + (gii - 2*gij + gjj)/24 - is*(gii - 2*gij + gjj)/60); +} + +// gii = |e_{ki}|^2, gij = , gjj = |e_{jk}|^2 +DDG::Complex +DirichletIJ( const double s, const double gii, const double gij, const double gjj ){ + if( fabs(s) > M_PI ){ + return DirichletIJDirect( s, gii, gij, gjj ); + }else if( s > 0 ){ + // between 0 and pi + const double t = s*2/M_PI - 1; // normalize + return ((gii + gjj)*s11(t) + gij*s12(t)).conj(); + }else{ + // between -pi and 0 + const double t = -s*2/M_PI - 1; // normalize + return ((gii + gjj)*s11(t) + gij*s12(t)); + } +} + +// gjj = |e_{ij}|^2, gjk = , gkk = |e_{ki}|^2 +double +DirichletII( const double s, const double gjj, const double gjk, const double gkk ){ + return .25*((gjj-2*gjk+gkk)+s*s*(gjj+gjk+gkk)/90); +} + +double +MassII( void ){ return 1/6.; } + +DDG::Complex +MassIJDirect( const double s ){ + const double s2 = s*s; + const double s4 = s2*s2; + const DDG::Complex is(0,s), is3(0,s*s2); + return (6*DDG::Complex(cos(s), sin(s)) - 6 - 6*is + 3*s2 + is3)/(3*s4); +} + +DDG::Complex +MassIJ( const double s ){ + if( fabs(s) > M_PI ){ + return MassIJDirect( s ); + }else if( s > 0 ){ + const double t = s/M_PI*2-1; + return m12(t).conj(); + }else{ + const double t = -s/M_PI*2-1; + return m12(t); + } +} diff --git a/src/Shader.cpp b/src/Shader.cpp index 9cd6c31..a6c736d 100644 --- a/src/Shader.cpp +++ b/src/Shader.cpp @@ -1,142 +1,142 @@ -#include "Shader.h" - -#include -#include -using namespace std; - -namespace DDG -{ - Shader::Shader( void ) - // constructor -- shader is initially invalid - : vertexShader( 0 ), - fragmentShader( 0 ), - geometryShader( 0 ), - program( 0 ), - linked( false ) - {} - - Shader::~Shader( void ) - { - if( program ) glDeleteProgram( program ); - - if( vertexShader ) glDeleteShader( vertexShader ); - if( fragmentShader ) glDeleteShader( fragmentShader ); - if( geometryShader ) glDeleteShader( geometryShader ); - } - - void Shader::loadVertex( const char* filename ) - { - load( GL_VERTEX_SHADER, filename, vertexShader ); - } - - void Shader::loadFragment( const char* filename ) - { - load( GL_FRAGMENT_SHADER, filename, fragmentShader ); - } - - void Shader::loadGeometry( const char* filename ) - { -#ifdef GL_GEOMETRY_SHADER_EXT - load( GL_GEOMETRY_SHADER_EXT, filename, geometryShader ); -#else - cerr << "Error: geometry shaders not supported!" << endl; -#endif - } - - void Shader::enable( void ) - { - if( !linked ) - { - glLinkProgram( program ); - linked = true; - } - - glUseProgram( program ); - } - - void Shader::disable( void ) const - { - glUseProgram( 0 ); - } - - Shader::operator GLuint( void ) const - { - return program; - } - - void Shader::load( GLenum shaderType, const char* filename, GLuint& shader ) - // read vertex shader from GLSL source file, compile, and attach to program - { - string source; - - if( !readSource( filename, source )) - { - return; - } - - if( program == 0 ) - { - program = glCreateProgram(); - } - - if( shader != 0 ) - { - glDetachShader( program, shader ); - } - - shader = glCreateShader( shaderType ); - const char* source_c_str = source.c_str(); - glShaderSource( shader, 1, &(source_c_str), NULL ); - - glCompileShader( shader ); - GLint compileStatus; - glGetShaderiv( shader, GL_COMPILE_STATUS, &compileStatus ); - - if( compileStatus == GL_TRUE ) - { - glAttachShader( program, shader ); - linked = false; - } - else - { - GLsizei maxLength = 0; - glGetShaderiv( shader, GL_INFO_LOG_LENGTH, &maxLength ); - - if( maxLength > 0 ) - { - GLchar* infoLog = new char[ maxLength ]; - GLsizei length; - - glGetShaderInfoLog( shader, maxLength, &length, infoLog ); - - cerr << "GLSL Error: " << infoLog << endl; - - delete[] infoLog; - } - } - } - - bool Shader::readSource( const char* filename, std::string& source ) - // reads GLSL source file into a string - { - source = ""; - - ifstream in( filename ); - if( !in.is_open() ) - { - cerr << "Error: could not open shader file "; - cerr << filename; - cerr << " for input!" << endl; - return false; - } - - string line; - while( getline( in, line )) - { - source += line; - } - - return true; - } -} - +#include "Shader.h" + +#include +#include +using namespace std; + +namespace DDG +{ + Shader::Shader( void ) + // constructor -- shader is initially invalid + : vertexShader( 0 ), + fragmentShader( 0 ), + geometryShader( 0 ), + program( 0 ), + linked( false ) + {} + + Shader::~Shader( void ) + { + if( program ) glDeleteProgram( program ); + + if( vertexShader ) glDeleteShader( vertexShader ); + if( fragmentShader ) glDeleteShader( fragmentShader ); + if( geometryShader ) glDeleteShader( geometryShader ); + } + + void Shader::loadVertex( const char* filename ) + { + load( GL_VERTEX_SHADER, filename, vertexShader ); + } + + void Shader::loadFragment( const char* filename ) + { + load( GL_FRAGMENT_SHADER, filename, fragmentShader ); + } + + void Shader::loadGeometry( const char* filename ) + { +#ifdef GL_GEOMETRY_SHADER_EXT + load( GL_GEOMETRY_SHADER_EXT, filename, geometryShader ); +#else + cerr << "Error: geometry shaders not supported!" << endl; +#endif + } + + void Shader::enable( void ) + { + if( !linked ) + { + glLinkProgram( program ); + linked = true; + } + + glUseProgram( program ); + } + + void Shader::disable( void ) const + { + glUseProgram( 0 ); + } + + Shader::operator GLuint( void ) const + { + return program; + } + + void Shader::load( GLenum shaderType, const char* filename, GLuint& shader ) + // read vertex shader from GLSL source file, compile, and attach to program + { + string source; + + if( !readSource( filename, source )) + { + return; + } + + if( program == 0 ) + { + program = glCreateProgram(); + } + + if( shader != 0 ) + { + glDetachShader( program, shader ); + } + + shader = glCreateShader( shaderType ); + const char* source_c_str = source.c_str(); + glShaderSource( shader, 1, &(source_c_str), NULL ); + + glCompileShader( shader ); + GLint compileStatus; + glGetShaderiv( shader, GL_COMPILE_STATUS, &compileStatus ); + + if( compileStatus == GL_TRUE ) + { + glAttachShader( program, shader ); + linked = false; + } + else + { + GLsizei maxLength = 0; + glGetShaderiv( shader, GL_INFO_LOG_LENGTH, &maxLength ); + + if( maxLength > 0 ) + { + GLchar* infoLog = new char[ maxLength ]; + GLsizei length; + + glGetShaderInfoLog( shader, maxLength, &length, infoLog ); + + cerr << "GLSL Error: " << infoLog << endl; + + delete[] infoLog; + } + } + } + + bool Shader::readSource( const char* filename, std::string& source ) + // reads GLSL source file into a string + { + source = ""; + + ifstream in( filename ); + if( !in.is_open() ) + { + cerr << "Error: could not open shader file "; + cerr << filename; + cerr << " for input!" << endl; + return false; + } + + string line; + while( getline( in, line )) + { + source += line; + } + + return true; + } +} + diff --git a/src/SparseMatrix.cpp b/src/SparseMatrix.cpp index 44aea35..2972803 100644 --- a/src/SparseMatrix.cpp +++ b/src/SparseMatrix.cpp @@ -1,300 +1,300 @@ -#include "SparseMatrix.h" - -#include -#include -#include -using namespace std; - -namespace DDG -{ - template <> - const SparseMatrix& SparseMatrix :: operator=( cholmod_sparse* B ) - { - assert( B ); - assert( B->xtype == CHOLMOD_REAL ); - - if( cData ) - { - cholmod_l_free_sparse( &cData, context ); - } - cData = B; - - m = cData->nrow; - n = cData->ncol; - resize( m, n ); - - double* pr = (double*) cData->x; - SuiteSparse_long* ir = (SuiteSparse_long*) cData->i; - SuiteSparse_long* jc = (SuiteSparse_long*) cData->p; - - // iterate over columns - for( int col = 0; col < n; col++ ) - { - // iterate over nonzero rows - for( int k = jc[col]; k < jc[col+1]; k++ ) - { - int row = ir[k]; - - (*this)( row, col ) = pr[k]; - } - } - - return *this; - } - - template <> - const SparseMatrix& SparseMatrix :: operator=( cholmod_sparse* B ) - { - assert( B ); - assert( B->xtype == CHOLMOD_COMPLEX ); - - if( cData ) - { - cholmod_l_free_sparse( &cData, context ); - } - cData = B; - - m = cData->nrow; - n = cData->ncol; - resize( m, n ); - - double* pr = (double*) cData->x; - SuiteSparse_long* ir = (SuiteSparse_long*) cData->i; - SuiteSparse_long* jc = (SuiteSparse_long*) cData->p; - - // iterate over columns - for( int col = 0; col < n; col++ ) - { - // iterate over nonzero rows - for( int k = jc[col]; k < jc[col+1]; k++ ) - { - int row = ir[k]; - - (*this)( row, col ) = Complex( pr[k*2+0], pr[k*2+1] ); - } - } - - return *this; - } - - template <> - cholmod_sparse* SparseMatrix :: to_cholmod( void ) - { - SparseMatrix A( m*4, n*4 ); - - for( const_iterator e = begin(); - e != end(); - e ++ ) - { - int i = e->first.second; - int j = e->first.first; - const Quaternion& q( e->second ); - - A(i*4+0,j*4+0) = q[0]; A(i*4+0,j*4+1) = -q[1]; A(i*4+0,j*4+2) = -q[2]; A(i*4+0,j*4+3) = -q[3]; - A(i*4+1,j*4+0) = q[1]; A(i*4+1,j*4+1) = q[0]; A(i*4+1,j*4+2) = -q[3]; A(i*4+1,j*4+3) = q[2]; - A(i*4+2,j*4+0) = q[2]; A(i*4+2,j*4+1) = q[3]; A(i*4+2,j*4+2) = q[0]; A(i*4+2,j*4+3) = -q[1]; - A(i*4+3,j*4+0) = q[3]; A(i*4+3,j*4+1) = -q[2]; A(i*4+3,j*4+2) = q[1]; A(i*4+3,j*4+3) = q[0]; - } - - if( cData != NULL ) - { - cholmod_l_free_sparse( &cData, context ); - } - cData = cholmod_l_copy_sparse( A.to_cholmod(), context ); - return cData; - } - - template <> - void SparseMatrix :: allocateSparse( int nnz ) - { - int nzmax = ( nnz == -1 ? data.size() : nnz ); - int sorted = true; - int packed = true; - int stype = 0; - cData = cholmod_l_allocate_sparse( m, n, nzmax, sorted, packed, stype, CHOLMOD_REAL, context ); - } - - template <> - void SparseMatrix :: allocateSparse( int nnz ) - { - int nzmax = ( nnz == -1 ? data.size() : nnz ); - int sorted = true; - int packed = true; - int stype = 0; - cData = cholmod_l_allocate_sparse( m, n, nzmax, sorted, packed, stype, CHOLMOD_COMPLEX, context ); - } - - template <> - void SparseMatrix :: allocateSparse( int nnz ) - { - int nzmax = ( nnz == -1 ? data.size() : nnz ); - int sorted = true; - int packed = true; - int stype = 0; - cData = cholmod_l_allocate_sparse( m*4, n*4, nzmax, sorted, packed, stype, CHOLMOD_REAL, context ); - } - - template <> - void SparseMatrix :: setEntry( const_iterator e, int i, double* pr ) - { - pr[i] = e->second; - } - - template <> - void SparseMatrix :: setEntry( const_iterator e, int i, double* pr ) - { - pr[i*2+0] = e->second.re; - pr[i*2+1] = e->second.im; - } - - template <> - void solve( SparseMatrix& A, - DenseMatrix& x, - DenseMatrix& b ) - // solves the sparse linear system Ax = b using sparse QR factorization - { - int t0 = clock(); - x = SuiteSparseQR( A.to_cholmod(), b.to_cholmod(), context ); - int t1 = clock(); - - cout << "[qr] time: " << seconds( t0, t1 ) << "s" << "\n"; - cout << "[qr] max residual: " << residual( A, x, b ) << "\n"; - cout << "[qr] size: " << A.nRows() << " x " << A.nColumns() << "\n"; - cout << "[qr] rank: " << (*context).SPQR_istat[4] << "\n"; - } - - template <> - void solve( SparseMatrix& A, - DenseMatrix& x, - DenseMatrix& b ) - // solves the sparse linear system Ax = b using sparse QR factorization - { - int t0 = clock(); - x = SuiteSparseQR< complex >( A.to_cholmod(), b.to_cholmod(), context ); - int t1 = clock(); - - cout << "[qr] time: " << seconds( t0, t1 ) << "s" << "\n"; - cout << "[qr] max residual: " << residual( A, x, b ) << "\n"; - cout << "[qr] size: " << A.nRows() << " x " << A.nColumns() << " (complex)" << "\n"; - cout << "[qr] rank: " << (*context).SPQR_istat[4] << "\n"; - } - - template <> - void solve( SparseMatrix& A, - DenseMatrix& x, - DenseMatrix& b ) - // solves the sparse linear system Ax = b using sparse QR factorization - { - int t0 = clock(); - x = SuiteSparseQR( A.to_cholmod(), b.to_cholmod(), context ); - int t1 = clock(); - - cout << "[qr] time: " << seconds( t0, t1 ) << "s" << "\n"; - cout << "[qr] max residual: " << residual( A, x, b ) << "\n"; - cout << "[qr] size: " << A.nRows() << " x " << A.nColumns() << " (quaternion)" << "\n"; - cout << "[qr] rank: " << (*context).SPQR_istat[4]/4 << "\n"; - } - - template <> - void solveSquare( SparseMatrix& A, - DenseMatrix& x, - DenseMatrix& b ) - // solves the sparse linear system Ax = b using sparse LU factorization - { - int t0 = clock(); - cholmod_sparse* Ac = A.to_cholmod(); - int n = Ac->nrow; - SuiteSparse_long* Ap = (SuiteSparse_long*) Ac->p; - SuiteSparse_long* Ai = (SuiteSparse_long*) Ac->i; - double* Ax = (double*) Ac->x; - void* Symbolic; - void* Numeric; - - umfpack_zl_symbolic( n, n, Ap, Ai, Ax, NULL, &Symbolic, NULL, NULL ); - umfpack_zl_numeric( Ap, Ai, Ax, NULL, Symbolic, &Numeric, NULL, NULL ); - umfpack_zl_solve( UMFPACK_A, Ap, Ai, Ax, NULL, (double*) &x(0), NULL, (double*) &b(0), NULL, Numeric, NULL, NULL ); - umfpack_zl_free_symbolic( &Symbolic ); - umfpack_zl_free_numeric( &Numeric ); - - int t1 = clock(); - cout << "[lu] time: " << seconds( t0, t1 ) << "s" << "\n"; - cout << "[lu] max residual: " << residual( A, x, b ) << "\n"; - } - - template<> - DenseMatrix SparseMatrix :: multiply( DenseMatrix& x, bool transpose ) - // returns product of this matrix with dense B; if - // transpose is true, uses transport of this matrix - { - int s = transpose ? n : m; - DenseMatrix y( s, 1 ); - double alpha[2] = { 1., 0. }; - double beta[2] = { 0., 0. }; - - cholmod_dense* yc = cholmod_l_allocate_dense( s, 1, s, CHOLMOD_COMPLEX, context ); - - cholmod_l_sdmult - ( - cData, - (int)transpose, - alpha, - beta, - x.to_cholmod(), - yc, - context - ); - - // convert from CHOLMOD format to DDG:DenseMatrix - y = yc; - - return y; - } - - template<> - void SparseMatrix :: appendCompressedColumn( vector& column ) - { - int& i( lastCompressedEntry ); - int& j( lastCompressedColumn ); - - double* pr = (double*) cData->x; - SuiteSparse_long* ir = (SuiteSparse_long*) cData->i; - SuiteSparse_long* jc = (SuiteSparse_long*) cData->p; - - sort( column.begin(), column.end() ); - - jc[j] = i; - - for( vector::const_iterator e = column.begin(); - e != column.end(); - e ++ ) - { - ir[i] = e->index; - pr[i*2+0] = e->value.re; - pr[i*2+1] = e->value.im; - i++; - } - j++; - - jc[j] = i; // Yes, again. - } - - template<> - void SparseMatrix :: printCompressed( void ) const - { - ofstream out( "matrix.txt" ); - - double* pr = (double*) cData->x; - SuiteSparse_long* ir = (SuiteSparse_long*) cData->i; - SuiteSparse_long* jc = (SuiteSparse_long*) cData->p; - - for( int j = 0; j < n; j++ ) - { - out << jc[j] << " |\t"; - for( int i = jc[j]; i < jc[j+1]; i++ ) - { - out << "\t" << ir[i] << "(" << pr[i*2+0] << "+" << pr[i*2+1] << "i)"; - } - out << endl; - } - } -} +#include "SparseMatrix.h" + +#include +#include +#include +using namespace std; + +namespace DDG +{ + template <> + const SparseMatrix& SparseMatrix :: operator=( cholmod_sparse* B ) + { + assert( B ); + assert( B->xtype == CHOLMOD_REAL ); + + if( cData ) + { + cholmod_l_free_sparse( &cData, context ); + } + cData = B; + + m = cData->nrow; + n = cData->ncol; + resize( m, n ); + + double* pr = (double*) cData->x; + SuiteSparse_long* ir = (SuiteSparse_long*) cData->i; + SuiteSparse_long* jc = (SuiteSparse_long*) cData->p; + + // iterate over columns + for( int col = 0; col < n; col++ ) + { + // iterate over nonzero rows + for( int k = jc[col]; k < jc[col+1]; k++ ) + { + int row = ir[k]; + + (*this)( row, col ) = pr[k]; + } + } + + return *this; + } + + template <> + const SparseMatrix& SparseMatrix :: operator=( cholmod_sparse* B ) + { + assert( B ); + assert( B->xtype == CHOLMOD_COMPLEX ); + + if( cData ) + { + cholmod_l_free_sparse( &cData, context ); + } + cData = B; + + m = cData->nrow; + n = cData->ncol; + resize( m, n ); + + double* pr = (double*) cData->x; + SuiteSparse_long* ir = (SuiteSparse_long*) cData->i; + SuiteSparse_long* jc = (SuiteSparse_long*) cData->p; + + // iterate over columns + for( int col = 0; col < n; col++ ) + { + // iterate over nonzero rows + for( int k = jc[col]; k < jc[col+1]; k++ ) + { + int row = ir[k]; + + (*this)( row, col ) = Complex( pr[k*2+0], pr[k*2+1] ); + } + } + + return *this; + } + + template <> + cholmod_sparse* SparseMatrix :: to_cholmod( void ) + { + SparseMatrix A( m*4, n*4 ); + + for( const_iterator e = begin(); + e != end(); + e ++ ) + { + int i = e->first.second; + int j = e->first.first; + const Quaternion& q( e->second ); + + A(i*4+0,j*4+0) = q[0]; A(i*4+0,j*4+1) = -q[1]; A(i*4+0,j*4+2) = -q[2]; A(i*4+0,j*4+3) = -q[3]; + A(i*4+1,j*4+0) = q[1]; A(i*4+1,j*4+1) = q[0]; A(i*4+1,j*4+2) = -q[3]; A(i*4+1,j*4+3) = q[2]; + A(i*4+2,j*4+0) = q[2]; A(i*4+2,j*4+1) = q[3]; A(i*4+2,j*4+2) = q[0]; A(i*4+2,j*4+3) = -q[1]; + A(i*4+3,j*4+0) = q[3]; A(i*4+3,j*4+1) = -q[2]; A(i*4+3,j*4+2) = q[1]; A(i*4+3,j*4+3) = q[0]; + } + + if( cData != NULL ) + { + cholmod_l_free_sparse( &cData, context ); + } + cData = cholmod_l_copy_sparse( A.to_cholmod(), context ); + return cData; + } + + template <> + void SparseMatrix :: allocateSparse( int nnz ) + { + int nzmax = ( nnz == -1 ? data.size() : nnz ); + int sorted = true; + int packed = true; + int stype = 0; + cData = cholmod_l_allocate_sparse( m, n, nzmax, sorted, packed, stype, CHOLMOD_REAL, context ); + } + + template <> + void SparseMatrix :: allocateSparse( int nnz ) + { + int nzmax = ( nnz == -1 ? data.size() : nnz ); + int sorted = true; + int packed = true; + int stype = 0; + cData = cholmod_l_allocate_sparse( m, n, nzmax, sorted, packed, stype, CHOLMOD_COMPLEX, context ); + } + + template <> + void SparseMatrix :: allocateSparse( int nnz ) + { + int nzmax = ( nnz == -1 ? data.size() : nnz ); + int sorted = true; + int packed = true; + int stype = 0; + cData = cholmod_l_allocate_sparse( m*4, n*4, nzmax, sorted, packed, stype, CHOLMOD_REAL, context ); + } + + template <> + void SparseMatrix :: setEntry( const_iterator e, int i, double* pr ) + { + pr[i] = e->second; + } + + template <> + void SparseMatrix :: setEntry( const_iterator e, int i, double* pr ) + { + pr[i*2+0] = e->second.re; + pr[i*2+1] = e->second.im; + } + + template <> + void solve( SparseMatrix& A, + DenseMatrix& x, + DenseMatrix& b ) + // solves the sparse linear system Ax = b using sparse QR factorization + { + int t0 = clock(); + x = SuiteSparseQR( A.to_cholmod(), b.to_cholmod(), context ); + int t1 = clock(); + + cout << "[qr] time: " << seconds( t0, t1 ) << "s" << "\n"; + cout << "[qr] max residual: " << residual( A, x, b ) << "\n"; + cout << "[qr] size: " << A.nRows() << " x " << A.nColumns() << "\n"; + cout << "[qr] rank: " << (*context).SPQR_istat[4] << "\n"; + } + + template <> + void solve( SparseMatrix& A, + DenseMatrix& x, + DenseMatrix& b ) + // solves the sparse linear system Ax = b using sparse QR factorization + { + int t0 = clock(); + x = SuiteSparseQR< complex >( A.to_cholmod(), b.to_cholmod(), context ); + int t1 = clock(); + + cout << "[qr] time: " << seconds( t0, t1 ) << "s" << "\n"; + cout << "[qr] max residual: " << residual( A, x, b ) << "\n"; + cout << "[qr] size: " << A.nRows() << " x " << A.nColumns() << " (complex)" << "\n"; + cout << "[qr] rank: " << (*context).SPQR_istat[4] << "\n"; + } + + template <> + void solve( SparseMatrix& A, + DenseMatrix& x, + DenseMatrix& b ) + // solves the sparse linear system Ax = b using sparse QR factorization + { + int t0 = clock(); + x = SuiteSparseQR( A.to_cholmod(), b.to_cholmod(), context ); + int t1 = clock(); + + cout << "[qr] time: " << seconds( t0, t1 ) << "s" << "\n"; + cout << "[qr] max residual: " << residual( A, x, b ) << "\n"; + cout << "[qr] size: " << A.nRows() << " x " << A.nColumns() << " (quaternion)" << "\n"; + cout << "[qr] rank: " << (*context).SPQR_istat[4]/4 << "\n"; + } + + template <> + void solveSquare( SparseMatrix& A, + DenseMatrix& x, + DenseMatrix& b ) + // solves the sparse linear system Ax = b using sparse LU factorization + { + int t0 = clock(); + cholmod_sparse* Ac = A.to_cholmod(); + int n = Ac->nrow; + SuiteSparse_long* Ap = (SuiteSparse_long*) Ac->p; + SuiteSparse_long* Ai = (SuiteSparse_long*) Ac->i; + double* Ax = (double*) Ac->x; + void* Symbolic; + void* Numeric; + + umfpack_zl_symbolic( n, n, Ap, Ai, Ax, NULL, &Symbolic, NULL, NULL ); + umfpack_zl_numeric( Ap, Ai, Ax, NULL, Symbolic, &Numeric, NULL, NULL ); + umfpack_zl_solve( UMFPACK_A, Ap, Ai, Ax, NULL, (double*) &x(0), NULL, (double*) &b(0), NULL, Numeric, NULL, NULL ); + umfpack_zl_free_symbolic( &Symbolic ); + umfpack_zl_free_numeric( &Numeric ); + + int t1 = clock(); + cout << "[lu] time: " << seconds( t0, t1 ) << "s" << "\n"; + cout << "[lu] max residual: " << residual( A, x, b ) << "\n"; + } + + template<> + DenseMatrix SparseMatrix :: multiply( DenseMatrix& x, bool transpose ) + // returns product of this matrix with dense B; if + // transpose is true, uses transport of this matrix + { + int s = transpose ? n : m; + DenseMatrix y( s, 1 ); + double alpha[2] = { 1., 0. }; + double beta[2] = { 0., 0. }; + + cholmod_dense* yc = cholmod_l_allocate_dense( s, 1, s, CHOLMOD_COMPLEX, context ); + + cholmod_l_sdmult + ( + cData, + (int)transpose, + alpha, + beta, + x.to_cholmod(), + yc, + context + ); + + // convert from CHOLMOD format to DDG:DenseMatrix + y = yc; + + return y; + } + + template<> + void SparseMatrix :: appendCompressedColumn( vector& column ) + { + int& i( lastCompressedEntry ); + int& j( lastCompressedColumn ); + + double* pr = (double*) cData->x; + SuiteSparse_long* ir = (SuiteSparse_long*) cData->i; + SuiteSparse_long* jc = (SuiteSparse_long*) cData->p; + + sort( column.begin(), column.end() ); + + jc[j] = i; + + for( vector::const_iterator e = column.begin(); + e != column.end(); + e ++ ) + { + ir[i] = e->index; + pr[i*2+0] = e->value.re; + pr[i*2+1] = e->value.im; + i++; + } + j++; + + jc[j] = i; // Yes, again. + } + + template<> + void SparseMatrix :: printCompressed( void ) const + { + ofstream out( "matrix.txt" ); + + double* pr = (double*) cData->x; + SuiteSparse_long* ir = (SuiteSparse_long*) cData->i; + SuiteSparse_long* jc = (SuiteSparse_long*) cData->p; + + for( int j = 0; j < n; j++ ) + { + out << jc[j] << " |\t"; + for( int i = jc[j]; i < jc[j+1]; i++ ) + { + out << "\t" << ir[i] << "(" << pr[i*2+0] << "+" << pr[i*2+1] << "i)"; + } + out << endl; + } + } +} diff --git a/src/SparseMatrix.inl b/src/SparseMatrix.inl index 3c1dbee..a976862 100644 --- a/src/SparseMatrix.inl +++ b/src/SparseMatrix.inl @@ -1,849 +1,849 @@ -// -*- Mode: c++ -*- -#include -#include -#include -#include -#include -using namespace std; - -#include -#include - -#include "Real.h" -#include "Complex.h" -#include "SparseMatrix.h" -#include "DenseMatrix.h" -#include "LinearContext.h" -#include "Utility.h" - -namespace DDG -{ - extern LinearContext context; - - const int maxEigIter = 20; - // number of iterations used to solve eigenvalue problems - - template - SparseMatrix :: SparseMatrix( int m_, int n_ ) - // initialize an mxn matrix - : m( m_ ), - n( n_ ), - cData( NULL ) - {} - - template - SparseMatrix :: SparseMatrix( const SparseMatrix& B ) - // copy constructor - : cData( NULL ) - { - *this = B; - } - - template - SparseMatrix :: ~SparseMatrix( void ) - // destructor - { - if( cData ) - { - cholmod_l_free_sparse( &cData, context ); - } - } - - template - const SparseMatrix& SparseMatrix :: operator=( const SparseMatrix& B ) - // copies B - { - if( cData ) - { - cholmod_l_free_sparse( &cData, context ); - cData = NULL; - } - - m = B.m; - n = B.n; - data = B.data; - - return *this; - } - - template - SparseMatrix SparseMatrix :: transpose( void ) const - { - SparseMatrix AT( n, m ); - - for( const_iterator e = begin(); - e != end(); - e++ ) - { - int i = e->first.second; - int j = e->first.first; - T Aij = e->second; - - AT(j,i) = Aij.conj(); - } - - return AT; - } - - template - SparseMatrix SparseMatrix :: operator*( const SparseMatrix& B ) const - // returns product of this matrix with sparse B - { - const SparseMatrix& A( *this ); - - // make sure matrix dimensions agree - assert( A.nColumns() == B.nRows() ); - - // collect nonzeros in each row - vector< vector< int > > Bcol( B.nRows() ); - vector< vector< T > > Bval( B.nRows() ); - for( const_iterator e = B.begin(); - e != B.end(); - e ++ ) - { - int row = e->first.second; - int col = e->first.first; - T val = e->second; - - Bcol[ row ].push_back( col ); - Bval[ row ].push_back( val ); - } - - // multiply C = A*B - SparseMatrix C( A.nRows(), B.nColumns() ); - for( const_iterator e = begin(); - e != end(); - e ++ ) - { - int i = e->first.second; - int j = e->first.first; - - for( size_t n = 0; n < Bcol[j].size(); n++ ) - { - int k = Bcol[j][n]; - - C( i, k ) += e->second * Bval[j][n]; - } - } - - return C; - } - - template - DenseMatrix SparseMatrix :: operator*( const DenseMatrix& B ) const - // returns product of this matrix with dense B - { - const SparseMatrix& A( *this ); - - // make sure matrix dimensions agree - assert( A.nColumns() == B.nRows() ); - - // multiply C = A*B - DenseMatrix C( A.nRows(), B.nColumns() ); - for( const_iterator e = begin(); - e != end(); - e ++ ) - { - int i = e->first.second; - int j = e->first.first; - - for( int k = 0; k < B.nColumns(); k++ ) - { - C( i, k ) += e->second * B( j, k ); - } - } - - return C; - } - - template - void SparseMatrix :: operator*=( const T& c ) - { - for( iterator e = begin(); - e != end(); - e++ ) - { - e->second *= c; - } - } - - template - void SparseMatrix :: operator/=( const T& c ) - { - for( iterator e = begin(); - e != end(); - e++ ) - { - e->second /= c; - } - } - - template - void SparseMatrix :: operator+=( const SparseMatrix& B ) - // adds B to this matrix - { - SparseMatrix& A( *this ); - - // make sure matrix dimensions agree - assert( A.nRows() == B.nRows() ); - assert( A.nColumns() == B.nColumns() ); - - for( const_iterator e = B.begin(); - e != B.end(); - e++ ) - { - int i = e->first.second; - int j = e->first.first; - const T& Bij( e->second ); - - A( i, j ) += Bij; - } - } - - template - void SparseMatrix :: operator-=( const SparseMatrix& B ) - // subtracts B from this matrix - { - SparseMatrix& A( *this ); - - // make sure matrix dimensions agree - assert( A.nRows() == B.nRows() ); - assert( A.nColumns() == B.nColumns() ); - - for( const_iterator e = B.begin(); - e != B.end(); - e++ ) - { - int i = e->first.second; - int j = e->first.first; - const T& Bij( e->second ); - - A( i, j ) -= Bij; - } - } - - template - SparseMatrix SparseMatrix :: operator+( const SparseMatrix& B ) const - // returns sum of this matrix with B - { - SparseMatrix C( nRows(), nColumns() ); - - C += *this; - C += B; - - return C; - } - - template - SparseMatrix SparseMatrix :: operator-( const SparseMatrix& B ) const - // returns sum of this matrix with B - { - SparseMatrix C( nRows(), nColumns() ); - - C += *this; - C -= B; - - return C; - } - - template - SparseMatrix operator*( const T& c, const SparseMatrix& A ) - { - SparseMatrix cA = A; - - for( typename SparseMatrix::iterator e = cA.begin(); - e != cA.end(); - e++ ) - { - e->second = c * e->second; - } - - return cA; - } - - template - SparseMatrix operator*( const SparseMatrix& A, const T& c ) - { - SparseMatrix Ac = A; - - Ac *= c; - - return Ac; - } - - template - SparseMatrix operator/( const SparseMatrix& A, T c ) - { - SparseMatrix Ac = A; - - Ac /= c; - - return Ac; - } - - template - void SparseMatrix :: resize( int m_, int n_, int nnz ) - { - m = m_; - n = n_; - - data.clear(); - - if( cData ) - { - cholmod_l_free_sparse( &cData, context ); - cData = NULL; - } - if( nnz != -1 ) - { - allocateSparse( nnz ); - } - lastCompressedColumn = 0; - lastCompressedEntry = 0; - } - - template - int SparseMatrix :: nRows( void ) const - // returns the number of rows - { - return m; - } - - template - int SparseMatrix :: nColumns( void ) const - // returns the number of columns - { - return n; - } - - template - int SparseMatrix :: length( void ) const - // returns the size of the largest dimension - { - return max( m, n ); - } - - template - void SparseMatrix :: zero( const T& val ) - // sets all nonzero elements val - { - for( iterator i = begin(); - i != end(); - i ++ ) - { - i->second = val; - } - } - - template - void SparseMatrix :: invertDiagonal( void ) - { - SparseMatrix& A( *this ); - - for( int i = 0; i < max( m, n ); i++ ) - { - A( i, i ) = A( i, i ).inv(); - } - } - - template - SparseMatrix SparseMatrix :: identity( int N ) - { - SparseMatrix I( N, N ); - - for( int i = 0; i < N; i++ ) - { - I( i, i ) = 1.; - } - - return I; - } - - template - DenseMatrix SparseMatrix :: full( void ) const - // converts to a dense matrix - { - const int maxSize = 1048576; - if( m*n > maxSize ) - { - cerr << "Error: refusing to convert sparse to dense (too big!)" << "\n"; - exit( 1 ); - } - - const SparseMatrix& A( *this ); - DenseMatrix B( m, n ); - - for( int i = 0; i < m; i++ ) - for( int j = 0; j < n; j++ ) - { - B( i, j ) = A( i, j ); - } - - return B; - } - - template - cholmod_sparse* SparseMatrix :: to_cholmod( void ) - { - // first check if the compressed matrix has been - // built via other methods (like appendCompressedColumn()) - if( cData != NULL && data.size() == 0 ) - { - return cData; - } - - if( cData ) - { - cholmod_l_free_sparse( &cData, context ); - cData = NULL; - } - - allocateSparse(); - - // build compressed matrix (note that EntryMap stores entries in column-major order) - double* pr = (double*) cData->x; - SuiteSparse_long* ir = (SuiteSparse_long*) cData->i; - SuiteSparse_long* jc = (SuiteSparse_long*) cData->p; - int i = 0; - int j = -1; - for( const_iterator e = begin(); - e != end(); - e ++ ) - { - int c = e->first.first; - if( c != j ) - { - for( int k = j+1; k <= c; k++ ) - { - jc[k] = i; - } - j = c; - } - - ir[i] = e->first.second; - setEntry( e, i, pr ); - - i++; - } - for( int k = j+1; k <= n; k++ ) - { - jc[k] = i; - } - - return cData; - } - - template <> - cholmod_sparse* SparseMatrix :: to_cholmod( void ); - - template - T& SparseMatrix :: operator()( int row, int col ) - { - assert( 0 <= row && row < m && 0 <= col && col < n ); - EntryIndex index( col, row ); - const_iterator entry = data.find( index ); - - if( entry == end()) - { - data[ index ] = T( 0. ); - } - - return data[ index ]; - } - - template - T SparseMatrix :: operator()( int row, int col ) const - { - assert( 0 <= row && row < m && 0 <= col && col < n ); - EntryIndex index( col, row ); - const_iterator entry = data.find( index ); - - if( entry == end()) - { - return T( 0. ); - } - - return entry->second; - } - - template - typename SparseMatrix::iterator SparseMatrix :: begin( void ) - { - return data.begin(); - } - - template - typename SparseMatrix::const_iterator SparseMatrix :: begin( void ) const - { - return data.begin(); - } - - template - typename SparseMatrix::iterator SparseMatrix :: end( void ) - { - return data.end(); - } - - template - typename SparseMatrix::const_iterator SparseMatrix :: end( void ) const - { - return data.end(); - } - - template - void SparseMatrix :: shift( double c ) - // adds c times the identity matrix to this matrix - { - assert( m == n ); - SparseMatrix& A( *this ); - - for( int i = 0; i < m; i++ ) - { - A( i, i ) += c; - } - } - - template - void solveSquare( SparseMatrix& A, - DenseMatrix& x, - DenseMatrix& b ) - // solves the sparse linear system Ax = b using sparse LU factorization - { - int t0 = clock(); - cholmod_sparse* Ac = A.to_cholmod(); - int n = Ac->nrow; - SuiteSparse_long* Ap = (SuiteSparse_long*) Ac->p; - SuiteSparse_long* Ai = (SuiteSparse_long*) Ac->i; - double* Ax = (double*) Ac->x; - void* Symbolic; - void* Numeric; - - umfpack_dl_symbolic( n, n, Ap, Ai, Ax, &Symbolic, NULL, NULL ); - umfpack_dl_numeric( Ap, Ai, Ax, Symbolic, &Numeric, NULL, NULL ); - umfpack_dl_solve( UMFPACK_A, Ap, Ai, Ax, (double*) &x(0), (double*) &b(0), Numeric, NULL, NULL ); - umfpack_dl_free_symbolic( &Symbolic ); - umfpack_dl_free_numeric( &Numeric ); - - int t1 = clock(); - cout << "[lu] time: " << seconds( t0, t1 ) << "s" << "\n"; -#ifndef NDEBUG - cout << "[lu] max residual: " << residual( A, x, b ) << "\n"; -#endif - } - - template - void solvePositiveDefinite( SparseMatrix& A, - DenseMatrix& x, - DenseMatrix& b ) - // solves the positive definite sparse linear system Ax = b using sparse Cholesky factorization - { - int t0 = clock(); - cholmod_sparse* Ac = A.to_cholmod(); - Ac->stype = 1; - cholmod_factor* L = cholmod_l_analyze( Ac, context ); - cholmod_l_factorize( Ac, L, context ); - x = cholmod_l_solve( CHOLMOD_A, L, b.to_cholmod(), context ); - - if( L ) cholmod_l_free_factor( &L, context ); - int t1 = clock(); - - cout << "[chol] time: " << seconds( t0, t1 ) << "s" << "\n"; -#ifndef NDEBUG - cout << "[chol] max residual: " << residual( A, x, b ) << "\n"; -#endif - } - - template - void backsolvePositiveDefinite( SparseFactor& L, - DenseMatrix& x, - DenseMatrix& b ) - // backsolves the prefactored positive definite sparse linear system LL'x = b - { - x = cholmod_l_solve( CHOLMOD_A, L.to_cholmod(), b.to_cholmod(), context ); - } - - template - void smallestEig( SparseMatrix& A, - DenseMatrix& x, - bool ignoreConstantVector ) - // solves A x = lambda x for the smallest nonzero eigenvalue lambda - // A must be symmetric; x is used as an initial guess - { - int t0 = clock(); - for( int iter = 0; iter < maxEigIter; iter++ ) - { - solve( A, x, x ); - if( ignoreConstantVector ) - { - x.removeMean(); - } - x.normalize(); - } - int t1 = clock(); - - cout << "[eig] time: " << seconds( t0, t1 ) << "s" << "\n"; -#ifndef NDEBUG - cout << "[eig] max residual: " << residual( A, x ) << "\n"; -#endif - } - - template - void smallestEig( SparseMatrix& A, - SparseMatrix& B, - DenseMatrix& x ) - // solves A x = lambda B x for the smallest nonzero generalized eigenvalue lambda - // A and B must be symmetric; x is used as an initial guess - { - cerr << "Error: A x = lambda B x not properly implemented!" << "\n"; - exit( 1 ); - - // TODO use a symmetric matrix decomposition instead of QR - - int t0 = clock(); - - // create vector e that has unit norm w.r.t. B - int n = A.length(); - DenseMatrix e( n, 1 ); - e.zero( 1. ); - e /= sqrt( dot( e, B*e )); - - for( int iter = 0; iter < maxEigIter; iter++ ) - { - x = B*x; - solve( A, x, x ); - x -= dot( x, B*e )*e; - x.normalize(); - } - int t1 = clock(); - - cout << "[eig] time: " << seconds( t0, t1 ) << "s" << "\n"; -#ifndef NDEBUG - cout << "[eig] max residual: " << residual( A, B, x ) << "\n"; -#endif - } - - template - void smallestEigPositiveDefinite( SparseMatrix& A, - DenseMatrix& x, - bool ignoreConstantVector ) - // solves A x = lambda x for the smallest nonzero eigenvalue lambda - // A must be positive (semi-)definite; x is used as an initial guess - { - int t0 = clock(); - SparseFactor L; - L.build( A ); - for( int iter = 0; iter < maxEigIter; iter++ ) - { - backsolvePositiveDefinite( L, x, x ); - if( ignoreConstantVector ) - { - x.removeMean(); - } - x.normalize(); - } - int t1 = clock(); - - cout << "[eig] time: " << seconds( t0, t1 ) << "s" << "\n"; -#ifndef NDEBUG - cout << "[eig] max residual: " << residual( A, x ) << "\n"; -#endif - } - - template - void smallestEigPositiveDefinite( SparseMatrix& A, - SparseMatrix& B, - DenseMatrix& x ) - // solves A x = lambda B x for the smallest nonzero eigenvalue lambda - // A must be positive (semi-)definite; x is used as an initial guess - // B must be symmetric - { - int t0 = clock(); - - SparseFactor L; - L.build( A ); - for( int iter = 0; iter < maxEigIter; iter++ ) - { - x = B.multiply( x ); - backsolvePositiveDefinite( L, x, x ); - x.normalize(); - } - int t1 = clock(); - - cout << "[eig] time: " << seconds( t0, t1 ) << "s" << "\n"; -#ifndef NDEBUG - // cout << "[eig] max residual: " << residual( A, B, x ) << "\n"; -#endif - } - - template - void smallestEigPositiveDefinite( SparseMatrix& A, - SparseMatrix& B, - DenseMatrix& E, - DenseMatrix& x ) - // solves A x = lambda (B - EE^T) x for the smallest nonzero eigenvalue lambda - // A must be positive (semi-)definite, B must be symmetric; EE^T is a low-rank matrix, and - // x is used as an initial guess - { - int iter; - int t0 = clock(); - DenseMatrix ET = E.transpose(); - SparseFactor L; - L.build( A ); - - for( iter = 0; iter < maxEigIter; iter++ ) - { - x = B*x - E*(ET*x); - backsolvePositiveDefinite( L, x, x ); - x.normalize(); - } - int t1 = clock(); - - cout << "[eig] time: " << seconds( t0, t1 ) << "s" << "\n"; -#ifndef NDEBUG - cout << "[eig] max residual: " << residual( A, B, E, x ) << "\n"; -#endif - } - - template - double residual( const SparseMatrix& A, - const DenseMatrix& x, - const DenseMatrix& b ) - // returns the max residual of the linear problem A x = b relative to the largest entry of the solution - { - return ( A*x - b ).norm() / b.norm(); - } - - template - double residual( const SparseMatrix& A, - const DenseMatrix& x ) - // returns the max residual of the eigenvalue problem A x = lambda x relative to the largest entry of the solution - { - T lambda = rayleighQuotient( A, x ); - return (A*x-lambda*x).norm() / x.norm(); - } - - template - double residual( const SparseMatrix& A, - const SparseMatrix& B, - const DenseMatrix& x ) - // returns the max residual of the generalized eigenvalue problem - // A x = lambda B x relative to the largest entry of the solution - { - T lambda = rayleighQuotient( A, B, x ); - return (A*x-lambda*(B*x)).norm() / x.norm(); - } - - template - double residual( const SparseMatrix& A, - const SparseMatrix& B, - const DenseMatrix& E, - const DenseMatrix& x ) - // returns the max residual of the generalized eigenvalue problem A x = lambda (B - EE^T) x relative to the largest entry of the solution - { - T lambda = rayleighQuotient( A, B, E, x ); - return (A*x-lambda*(B*x-E*(E.transpose()*x))).norm() / x.norm(); - } - - template - T rayleighQuotient( const SparseMatrix& A, - const DenseMatrix& x ) - // returns / - { - return (x.transpose()*(A*x))(0) * (x.transpose()*x)(0).inv(); - } - - template - T rayleighQuotient( SparseMatrix& A, - SparseMatrix& B, - DenseMatrix& x ) - // returns / - { - //return (x.transpose()*(A*x))(0) * (x.transpose()*(B*x))(0).inv(); - return (x.transpose()*(A.multiply(x)))(0) * (x.transpose()*(B.multiply(x)))(0).inv(); - } - - template - T rayleighQuotient( const SparseMatrix& A, - const SparseMatrix& B, - const DenseMatrix& E, - const DenseMatrix& x ) - // returns /<(B-EE^T)x,x> - { - return (x.transpose()*(A*x))(0) * (x.transpose()*(B*x-E*(E.transpose()*x)))(0).inv(); - } - - template - std::ostream& operator<<( std::ostream& os, const SparseMatrix& o) - { - os.precision( 12 ); os << fixed; - os << "SparseArray[{"; - for( typename SparseMatrix::const_iterator e = o.begin(); - e != o.end(); - e ++ ) - { - int row = e->first.second; - int col = e->first.first; - - os << "{" << row+1 << "," << col+1 << "} -> " << e->second << ","; - // os << "( " << row << ", " << col << " ): " << e->second << "\n"; - } - os << "}];"; - return os; - } - - template - SparseFactor :: SparseFactor( void ) - : L( NULL ) - {} - - template - SparseFactor :: ~SparseFactor( void ) - { - if( L ) - { - cholmod_l_free_factor( &L, context ); - } - } - - template - void SparseFactor :: build( SparseMatrix& A ) - { - if( L ) - { - cholmod_l_free_factor( &L, context ); - L = NULL; - } - - int t0, t1; - - cholmod_sparse* Ac = A.to_cholmod(); - Ac->stype = 1; - - t0 = clock(); - L = cholmod_l_analyze( Ac, context ); - t1 = clock(); - cerr << "analyze: " << seconds(t0,t1) << "s" << endl; - - t0 = clock(); - cholmod_l_factorize( Ac, L, context ); - t1 = clock(); - cerr << "factorize: " << seconds(t0,t1) << "s" << endl; - } - - template - bool SparseFactor :: valid( void ) const - { - if( L == NULL ) - { - return false; - } - return true; - } - - template - cholmod_factor* SparseFactor :: to_cholmod( void ) - { - return L; - } -} - +// -*- Mode: c++ -*- +#include +#include +#include +#include +#include +using namespace std; + +#include +#include + +#include "Real.h" +#include "Complex.h" +#include "SparseMatrix.h" +#include "DenseMatrix.h" +#include "LinearContext.h" +#include "Utility.h" + +namespace DDG +{ + extern LinearContext context; + + const int maxEigIter = 20; + // number of iterations used to solve eigenvalue problems + + template + SparseMatrix :: SparseMatrix( int m_, int n_ ) + // initialize an mxn matrix + : m( m_ ), + n( n_ ), + cData( NULL ) + {} + + template + SparseMatrix :: SparseMatrix( const SparseMatrix& B ) + // copy constructor + : cData( NULL ) + { + *this = B; + } + + template + SparseMatrix :: ~SparseMatrix( void ) + // destructor + { + if( cData ) + { + cholmod_l_free_sparse( &cData, context ); + } + } + + template + const SparseMatrix& SparseMatrix :: operator=( const SparseMatrix& B ) + // copies B + { + if( cData ) + { + cholmod_l_free_sparse( &cData, context ); + cData = NULL; + } + + m = B.m; + n = B.n; + data = B.data; + + return *this; + } + + template + SparseMatrix SparseMatrix :: transpose( void ) const + { + SparseMatrix AT( n, m ); + + for( const_iterator e = begin(); + e != end(); + e++ ) + { + int i = e->first.second; + int j = e->first.first; + T Aij = e->second; + + AT(j,i) = Aij.conj(); + } + + return AT; + } + + template + SparseMatrix SparseMatrix :: operator*( const SparseMatrix& B ) const + // returns product of this matrix with sparse B + { + const SparseMatrix& A( *this ); + + // make sure matrix dimensions agree + assert( A.nColumns() == B.nRows() ); + + // collect nonzeros in each row + vector< vector< int > > Bcol( B.nRows() ); + vector< vector< T > > Bval( B.nRows() ); + for( const_iterator e = B.begin(); + e != B.end(); + e ++ ) + { + int row = e->first.second; + int col = e->first.first; + T val = e->second; + + Bcol[ row ].push_back( col ); + Bval[ row ].push_back( val ); + } + + // multiply C = A*B + SparseMatrix C( A.nRows(), B.nColumns() ); + for( const_iterator e = begin(); + e != end(); + e ++ ) + { + int i = e->first.second; + int j = e->first.first; + + for( size_t n = 0; n < Bcol[j].size(); n++ ) + { + int k = Bcol[j][n]; + + C( i, k ) += e->second * Bval[j][n]; + } + } + + return C; + } + + template + DenseMatrix SparseMatrix :: operator*( const DenseMatrix& B ) const + // returns product of this matrix with dense B + { + const SparseMatrix& A( *this ); + + // make sure matrix dimensions agree + assert( A.nColumns() == B.nRows() ); + + // multiply C = A*B + DenseMatrix C( A.nRows(), B.nColumns() ); + for( const_iterator e = begin(); + e != end(); + e ++ ) + { + int i = e->first.second; + int j = e->first.first; + + for( int k = 0; k < B.nColumns(); k++ ) + { + C( i, k ) += e->second * B( j, k ); + } + } + + return C; + } + + template + void SparseMatrix :: operator*=( const T& c ) + { + for( iterator e = begin(); + e != end(); + e++ ) + { + e->second *= c; + } + } + + template + void SparseMatrix :: operator/=( const T& c ) + { + for( iterator e = begin(); + e != end(); + e++ ) + { + e->second /= c; + } + } + + template + void SparseMatrix :: operator+=( const SparseMatrix& B ) + // adds B to this matrix + { + SparseMatrix& A( *this ); + + // make sure matrix dimensions agree + assert( A.nRows() == B.nRows() ); + assert( A.nColumns() == B.nColumns() ); + + for( const_iterator e = B.begin(); + e != B.end(); + e++ ) + { + int i = e->first.second; + int j = e->first.first; + const T& Bij( e->second ); + + A( i, j ) += Bij; + } + } + + template + void SparseMatrix :: operator-=( const SparseMatrix& B ) + // subtracts B from this matrix + { + SparseMatrix& A( *this ); + + // make sure matrix dimensions agree + assert( A.nRows() == B.nRows() ); + assert( A.nColumns() == B.nColumns() ); + + for( const_iterator e = B.begin(); + e != B.end(); + e++ ) + { + int i = e->first.second; + int j = e->first.first; + const T& Bij( e->second ); + + A( i, j ) -= Bij; + } + } + + template + SparseMatrix SparseMatrix :: operator+( const SparseMatrix& B ) const + // returns sum of this matrix with B + { + SparseMatrix C( nRows(), nColumns() ); + + C += *this; + C += B; + + return C; + } + + template + SparseMatrix SparseMatrix :: operator-( const SparseMatrix& B ) const + // returns sum of this matrix with B + { + SparseMatrix C( nRows(), nColumns() ); + + C += *this; + C -= B; + + return C; + } + + template + SparseMatrix operator*( const T& c, const SparseMatrix& A ) + { + SparseMatrix cA = A; + + for( typename SparseMatrix::iterator e = cA.begin(); + e != cA.end(); + e++ ) + { + e->second = c * e->second; + } + + return cA; + } + + template + SparseMatrix operator*( const SparseMatrix& A, const T& c ) + { + SparseMatrix Ac = A; + + Ac *= c; + + return Ac; + } + + template + SparseMatrix operator/( const SparseMatrix& A, T c ) + { + SparseMatrix Ac = A; + + Ac /= c; + + return Ac; + } + + template + void SparseMatrix :: resize( int m_, int n_, int nnz ) + { + m = m_; + n = n_; + + data.clear(); + + if( cData ) + { + cholmod_l_free_sparse( &cData, context ); + cData = NULL; + } + if( nnz != -1 ) + { + allocateSparse( nnz ); + } + lastCompressedColumn = 0; + lastCompressedEntry = 0; + } + + template + int SparseMatrix :: nRows( void ) const + // returns the number of rows + { + return m; + } + + template + int SparseMatrix :: nColumns( void ) const + // returns the number of columns + { + return n; + } + + template + int SparseMatrix :: length( void ) const + // returns the size of the largest dimension + { + return max( m, n ); + } + + template + void SparseMatrix :: zero( const T& val ) + // sets all nonzero elements val + { + for( iterator i = begin(); + i != end(); + i ++ ) + { + i->second = val; + } + } + + template + void SparseMatrix :: invertDiagonal( void ) + { + SparseMatrix& A( *this ); + + for( int i = 0; i < max( m, n ); i++ ) + { + A( i, i ) = A( i, i ).inv(); + } + } + + template + SparseMatrix SparseMatrix :: identity( int N ) + { + SparseMatrix I( N, N ); + + for( int i = 0; i < N; i++ ) + { + I( i, i ) = 1.; + } + + return I; + } + + template + DenseMatrix SparseMatrix :: full( void ) const + // converts to a dense matrix + { + const int maxSize = 1048576; + if( m*n > maxSize ) + { + cerr << "Error: refusing to convert sparse to dense (too big!)" << "\n"; + exit( 1 ); + } + + const SparseMatrix& A( *this ); + DenseMatrix B( m, n ); + + for( int i = 0; i < m; i++ ) + for( int j = 0; j < n; j++ ) + { + B( i, j ) = A( i, j ); + } + + return B; + } + + template + cholmod_sparse* SparseMatrix :: to_cholmod( void ) + { + // first check if the compressed matrix has been + // built via other methods (like appendCompressedColumn()) + if( cData != NULL && data.size() == 0 ) + { + return cData; + } + + if( cData ) + { + cholmod_l_free_sparse( &cData, context ); + cData = NULL; + } + + allocateSparse(); + + // build compressed matrix (note that EntryMap stores entries in column-major order) + double* pr = (double*) cData->x; + SuiteSparse_long* ir = (SuiteSparse_long*) cData->i; + SuiteSparse_long* jc = (SuiteSparse_long*) cData->p; + int i = 0; + int j = -1; + for( const_iterator e = begin(); + e != end(); + e ++ ) + { + int c = e->first.first; + if( c != j ) + { + for( int k = j+1; k <= c; k++ ) + { + jc[k] = i; + } + j = c; + } + + ir[i] = e->first.second; + setEntry( e, i, pr ); + + i++; + } + for( int k = j+1; k <= n; k++ ) + { + jc[k] = i; + } + + return cData; + } + + template <> + cholmod_sparse* SparseMatrix :: to_cholmod( void ); + + template + T& SparseMatrix :: operator()( int row, int col ) + { + assert( 0 <= row && row < m && 0 <= col && col < n ); + EntryIndex index( col, row ); + const_iterator entry = data.find( index ); + + if( entry == end()) + { + data[ index ] = T( 0. ); + } + + return data[ index ]; + } + + template + T SparseMatrix :: operator()( int row, int col ) const + { + assert( 0 <= row && row < m && 0 <= col && col < n ); + EntryIndex index( col, row ); + const_iterator entry = data.find( index ); + + if( entry == end()) + { + return T( 0. ); + } + + return entry->second; + } + + template + typename SparseMatrix::iterator SparseMatrix :: begin( void ) + { + return data.begin(); + } + + template + typename SparseMatrix::const_iterator SparseMatrix :: begin( void ) const + { + return data.begin(); + } + + template + typename SparseMatrix::iterator SparseMatrix :: end( void ) + { + return data.end(); + } + + template + typename SparseMatrix::const_iterator SparseMatrix :: end( void ) const + { + return data.end(); + } + + template + void SparseMatrix :: shift( double c ) + // adds c times the identity matrix to this matrix + { + assert( m == n ); + SparseMatrix& A( *this ); + + for( int i = 0; i < m; i++ ) + { + A( i, i ) += c; + } + } + + template + void solveSquare( SparseMatrix& A, + DenseMatrix& x, + DenseMatrix& b ) + // solves the sparse linear system Ax = b using sparse LU factorization + { + int t0 = clock(); + cholmod_sparse* Ac = A.to_cholmod(); + int n = Ac->nrow; + SuiteSparse_long* Ap = (SuiteSparse_long*) Ac->p; + SuiteSparse_long* Ai = (SuiteSparse_long*) Ac->i; + double* Ax = (double*) Ac->x; + void* Symbolic; + void* Numeric; + + umfpack_dl_symbolic( n, n, Ap, Ai, Ax, &Symbolic, NULL, NULL ); + umfpack_dl_numeric( Ap, Ai, Ax, Symbolic, &Numeric, NULL, NULL ); + umfpack_dl_solve( UMFPACK_A, Ap, Ai, Ax, (double*) &x(0), (double*) &b(0), Numeric, NULL, NULL ); + umfpack_dl_free_symbolic( &Symbolic ); + umfpack_dl_free_numeric( &Numeric ); + + int t1 = clock(); + cout << "[lu] time: " << seconds( t0, t1 ) << "s" << "\n"; +#ifndef NDEBUG + cout << "[lu] max residual: " << residual( A, x, b ) << "\n"; +#endif + } + + template + void solvePositiveDefinite( SparseMatrix& A, + DenseMatrix& x, + DenseMatrix& b ) + // solves the positive definite sparse linear system Ax = b using sparse Cholesky factorization + { + int t0 = clock(); + cholmod_sparse* Ac = A.to_cholmod(); + Ac->stype = 1; + cholmod_factor* L = cholmod_l_analyze( Ac, context ); + cholmod_l_factorize( Ac, L, context ); + x = cholmod_l_solve( CHOLMOD_A, L, b.to_cholmod(), context ); + + if( L ) cholmod_l_free_factor( &L, context ); + int t1 = clock(); + + cout << "[chol] time: " << seconds( t0, t1 ) << "s" << "\n"; +#ifndef NDEBUG + cout << "[chol] max residual: " << residual( A, x, b ) << "\n"; +#endif + } + + template + void backsolvePositiveDefinite( SparseFactor& L, + DenseMatrix& x, + DenseMatrix& b ) + // backsolves the prefactored positive definite sparse linear system LL'x = b + { + x = cholmod_l_solve( CHOLMOD_A, L.to_cholmod(), b.to_cholmod(), context ); + } + + template + void smallestEig( SparseMatrix& A, + DenseMatrix& x, + bool ignoreConstantVector ) + // solves A x = lambda x for the smallest nonzero eigenvalue lambda + // A must be symmetric; x is used as an initial guess + { + int t0 = clock(); + for( int iter = 0; iter < maxEigIter; iter++ ) + { + solve( A, x, x ); + if( ignoreConstantVector ) + { + x.removeMean(); + } + x.normalize(); + } + int t1 = clock(); + + cout << "[eig] time: " << seconds( t0, t1 ) << "s" << "\n"; +#ifndef NDEBUG + cout << "[eig] max residual: " << residual( A, x ) << "\n"; +#endif + } + + template + void smallestEig( SparseMatrix& A, + SparseMatrix& B, + DenseMatrix& x ) + // solves A x = lambda B x for the smallest nonzero generalized eigenvalue lambda + // A and B must be symmetric; x is used as an initial guess + { + cerr << "Error: A x = lambda B x not properly implemented!" << "\n"; + exit( 1 ); + + // TODO use a symmetric matrix decomposition instead of QR + + int t0 = clock(); + + // create vector e that has unit norm w.r.t. B + int n = A.length(); + DenseMatrix e( n, 1 ); + e.zero( 1. ); + e /= sqrt( dot( e, B*e )); + + for( int iter = 0; iter < maxEigIter; iter++ ) + { + x = B*x; + solve( A, x, x ); + x -= dot( x, B*e )*e; + x.normalize(); + } + int t1 = clock(); + + cout << "[eig] time: " << seconds( t0, t1 ) << "s" << "\n"; +#ifndef NDEBUG + cout << "[eig] max residual: " << residual( A, B, x ) << "\n"; +#endif + } + + template + void smallestEigPositiveDefinite( SparseMatrix& A, + DenseMatrix& x, + bool ignoreConstantVector ) + // solves A x = lambda x for the smallest nonzero eigenvalue lambda + // A must be positive (semi-)definite; x is used as an initial guess + { + int t0 = clock(); + SparseFactor L; + L.build( A ); + for( int iter = 0; iter < maxEigIter; iter++ ) + { + backsolvePositiveDefinite( L, x, x ); + if( ignoreConstantVector ) + { + x.removeMean(); + } + x.normalize(); + } + int t1 = clock(); + + cout << "[eig] time: " << seconds( t0, t1 ) << "s" << "\n"; +#ifndef NDEBUG + cout << "[eig] max residual: " << residual( A, x ) << "\n"; +#endif + } + + template + void smallestEigPositiveDefinite( SparseMatrix& A, + SparseMatrix& B, + DenseMatrix& x ) + // solves A x = lambda B x for the smallest nonzero eigenvalue lambda + // A must be positive (semi-)definite; x is used as an initial guess + // B must be symmetric + { + int t0 = clock(); + + SparseFactor L; + L.build( A ); + for( int iter = 0; iter < maxEigIter; iter++ ) + { + x = B.multiply( x ); + backsolvePositiveDefinite( L, x, x ); + x.normalize(); + } + int t1 = clock(); + + cout << "[eig] time: " << seconds( t0, t1 ) << "s" << "\n"; +#ifndef NDEBUG + // cout << "[eig] max residual: " << residual( A, B, x ) << "\n"; +#endif + } + + template + void smallestEigPositiveDefinite( SparseMatrix& A, + SparseMatrix& B, + DenseMatrix& E, + DenseMatrix& x ) + // solves A x = lambda (B - EE^T) x for the smallest nonzero eigenvalue lambda + // A must be positive (semi-)definite, B must be symmetric; EE^T is a low-rank matrix, and + // x is used as an initial guess + { + int iter; + int t0 = clock(); + DenseMatrix ET = E.transpose(); + SparseFactor L; + L.build( A ); + + for( iter = 0; iter < maxEigIter; iter++ ) + { + x = B*x - E*(ET*x); + backsolvePositiveDefinite( L, x, x ); + x.normalize(); + } + int t1 = clock(); + + cout << "[eig] time: " << seconds( t0, t1 ) << "s" << "\n"; +#ifndef NDEBUG + cout << "[eig] max residual: " << residual( A, B, E, x ) << "\n"; +#endif + } + + template + double residual( const SparseMatrix& A, + const DenseMatrix& x, + const DenseMatrix& b ) + // returns the max residual of the linear problem A x = b relative to the largest entry of the solution + { + return ( A*x - b ).norm() / b.norm(); + } + + template + double residual( const SparseMatrix& A, + const DenseMatrix& x ) + // returns the max residual of the eigenvalue problem A x = lambda x relative to the largest entry of the solution + { + T lambda = rayleighQuotient( A, x ); + return (A*x-lambda*x).norm() / x.norm(); + } + + template + double residual( const SparseMatrix& A, + const SparseMatrix& B, + const DenseMatrix& x ) + // returns the max residual of the generalized eigenvalue problem + // A x = lambda B x relative to the largest entry of the solution + { + T lambda = rayleighQuotient( A, B, x ); + return (A*x-lambda*(B*x)).norm() / x.norm(); + } + + template + double residual( const SparseMatrix& A, + const SparseMatrix& B, + const DenseMatrix& E, + const DenseMatrix& x ) + // returns the max residual of the generalized eigenvalue problem A x = lambda (B - EE^T) x relative to the largest entry of the solution + { + T lambda = rayleighQuotient( A, B, E, x ); + return (A*x-lambda*(B*x-E*(E.transpose()*x))).norm() / x.norm(); + } + + template + T rayleighQuotient( const SparseMatrix& A, + const DenseMatrix& x ) + // returns / + { + return (x.transpose()*(A*x))(0) * (x.transpose()*x)(0).inv(); + } + + template + T rayleighQuotient( SparseMatrix& A, + SparseMatrix& B, + DenseMatrix& x ) + // returns / + { + //return (x.transpose()*(A*x))(0) * (x.transpose()*(B*x))(0).inv(); + return (x.transpose()*(A.multiply(x)))(0) * (x.transpose()*(B.multiply(x)))(0).inv(); + } + + template + T rayleighQuotient( const SparseMatrix& A, + const SparseMatrix& B, + const DenseMatrix& E, + const DenseMatrix& x ) + // returns /<(B-EE^T)x,x> + { + return (x.transpose()*(A*x))(0) * (x.transpose()*(B*x-E*(E.transpose()*x)))(0).inv(); + } + + template + std::ostream& operator<<( std::ostream& os, const SparseMatrix& o) + { + os.precision( 12 ); os << fixed; + os << "SparseArray[{"; + for( typename SparseMatrix::const_iterator e = o.begin(); + e != o.end(); + e ++ ) + { + int row = e->first.second; + int col = e->first.first; + + os << "{" << row+1 << "," << col+1 << "} -> " << e->second << ","; + // os << "( " << row << ", " << col << " ): " << e->second << "\n"; + } + os << "}];"; + return os; + } + + template + SparseFactor :: SparseFactor( void ) + : L( NULL ) + {} + + template + SparseFactor :: ~SparseFactor( void ) + { + if( L ) + { + cholmod_l_free_factor( &L, context ); + } + } + + template + void SparseFactor :: build( SparseMatrix& A ) + { + if( L ) + { + cholmod_l_free_factor( &L, context ); + L = NULL; + } + + int t0, t1; + + cholmod_sparse* Ac = A.to_cholmod(); + Ac->stype = 1; + + t0 = clock(); + L = cholmod_l_analyze( Ac, context ); + t1 = clock(); + cerr << "analyze: " << seconds(t0,t1) << "s" << endl; + + t0 = clock(); + cholmod_l_factorize( Ac, L, context ); + t1 = clock(); + cerr << "factorize: " << seconds(t0,t1) << "s" << endl; + } + + template + bool SparseFactor :: valid( void ) const + { + if( L == NULL ) + { + return false; + } + return true; + } + + template + cholmod_factor* SparseFactor :: to_cholmod( void ) + { + return L; + } +} + diff --git a/src/Vector.cpp b/src/Vector.cpp index 697b930..56f182e 100755 --- a/src/Vector.cpp +++ b/src/Vector.cpp @@ -1,159 +1,159 @@ -#include - -#include "Vector.h" -#include "Complex.h" - -namespace DDG -{ - Vector :: Vector( void ) - : x( 0. ), - y( 0. ), - z( 0. ) - {} - - Vector :: Vector( double x0, - double y0, - double z0 ) - : x( x0 ), - y( y0 ), - z( z0 ) - {} - - Vector :: Vector( const Vector& v ) - : x( v.x ), - y( v.y ), - z( v.z ) - {} - -// Vector :: Vector( const Complex& z ) -// : x( z.re ), -// y( z.im ), -// z( 0. ) -// {} - - double& Vector :: operator[]( const int& index ) - { - return ( &x )[ index ]; - } - - const double& Vector :: operator[]( const int& index ) const - { - return ( &x )[ index ]; - } - - Vector Vector :: operator+( const Vector& v ) const - { - return Vector( x + v.x, - y + v.y, - z + v.z ); - } - - Vector Vector :: operator-( const Vector& v ) const - { - return Vector( x - v.x, - y - v.y, - z - v.z ); - } - - Vector Vector :: operator-( void ) const - { - return Vector( -x, - -y, - -z ); - } - - Vector Vector :: operator*( const double& c ) const - { - return Vector( x*c, - y*c, - z*c ); - } - - Vector operator*( const double& c, const Vector& v ) - { - return v*c; - } - - Vector Vector :: operator/( const double& c ) const - { - return (*this) * ( 1./c ); - } - - void Vector :: operator+=( const Vector& v ) - { - x += v.x; - y += v.y; - z += v.z; - } - - void Vector :: operator-=( const Vector& v ) - { - x -= v.x; - y -= v.y; - z -= v.z; - } - - void Vector :: operator*=( const double& c ) - { - x *= c; - y *= c; - z *= c; - } - - void Vector :: operator/=( const double& c ) - { - (*this) *= ( 1./c ); - } - - double Vector :: norm( void ) const - { - return sqrt( norm2()); - } - - double Vector :: norm2( void ) const - { - return dot( *this, *this ); - } - - void Vector :: normalize( void ) - { - (*this) /= norm(); - } - - Vector Vector :: unit( void ) const - { - return (*this) / norm(); - } - - Vector Vector :: abs( void ) const - { - return Vector( fabs( x ), - fabs( y ), - fabs( z ) ); - } - - double dot( const Vector& u, const Vector& v ) - { - return u.x*v.x + - u.y*v.y + - u.z*v.z ; - } - - Vector cross( const Vector& u, const Vector& v ) - { - return Vector( u.y*v.z - u.z*v.y, - u.z*v.x - u.x*v.z, - u.x*v.y - u.y*v.x ); - } - - std::ostream& operator << (std::ostream& os, const Vector& o) - { - os << "[ " - << o.x << " " - << o.y << " " - << o.z - << " ]"; - - return os; - } -} +#include + +#include "Vector.h" +#include "Complex.h" + +namespace DDG +{ + Vector :: Vector( void ) + : x( 0. ), + y( 0. ), + z( 0. ) + {} + + Vector :: Vector( double x0, + double y0, + double z0 ) + : x( x0 ), + y( y0 ), + z( z0 ) + {} + + Vector :: Vector( const Vector& v ) + : x( v.x ), + y( v.y ), + z( v.z ) + {} + +// Vector :: Vector( const Complex& z ) +// : x( z.re ), +// y( z.im ), +// z( 0. ) +// {} + + double& Vector :: operator[]( const int& index ) + { + return ( &x )[ index ]; + } + + const double& Vector :: operator[]( const int& index ) const + { + return ( &x )[ index ]; + } + + Vector Vector :: operator+( const Vector& v ) const + { + return Vector( x + v.x, + y + v.y, + z + v.z ); + } + + Vector Vector :: operator-( const Vector& v ) const + { + return Vector( x - v.x, + y - v.y, + z - v.z ); + } + + Vector Vector :: operator-( void ) const + { + return Vector( -x, + -y, + -z ); + } + + Vector Vector :: operator*( const double& c ) const + { + return Vector( x*c, + y*c, + z*c ); + } + + Vector operator*( const double& c, const Vector& v ) + { + return v*c; + } + + Vector Vector :: operator/( const double& c ) const + { + return (*this) * ( 1./c ); + } + + void Vector :: operator+=( const Vector& v ) + { + x += v.x; + y += v.y; + z += v.z; + } + + void Vector :: operator-=( const Vector& v ) + { + x -= v.x; + y -= v.y; + z -= v.z; + } + + void Vector :: operator*=( const double& c ) + { + x *= c; + y *= c; + z *= c; + } + + void Vector :: operator/=( const double& c ) + { + (*this) *= ( 1./c ); + } + + double Vector :: norm( void ) const + { + return sqrt( norm2()); + } + + double Vector :: norm2( void ) const + { + return dot( *this, *this ); + } + + void Vector :: normalize( void ) + { + (*this) /= norm(); + } + + Vector Vector :: unit( void ) const + { + return (*this) / norm(); + } + + Vector Vector :: abs( void ) const + { + return Vector( fabs( x ), + fabs( y ), + fabs( z ) ); + } + + double dot( const Vector& u, const Vector& v ) + { + return u.x*v.x + + u.y*v.y + + u.z*v.z ; + } + + Vector cross( const Vector& u, const Vector& v ) + { + return Vector( u.y*v.z - u.z*v.y, + u.z*v.x - u.x*v.z, + u.x*v.y - u.y*v.x ); + } + + std::ostream& operator << (std::ostream& os, const Vector& o) + { + os << "[ " + << o.x << " " + << o.y << " " + << o.z + << " ]"; + + return os; + } +} diff --git a/src/Vertex.cpp b/src/Vertex.cpp index bb34813..875d4bb 100644 --- a/src/Vertex.cpp +++ b/src/Vertex.cpp @@ -1,108 +1,108 @@ -#include -#include -#include -using namespace std; - -#include "Vertex.h" -#include "Mesh.h" -#include "HalfEdge.h" -#include "Quaternion.h" - -namespace DDG -{ - // returns the vertex normal - void Vertex::updateNormal( void ) { - Vector N(0,0,0); - - HalfEdgeCIter h = he; - // PS: bugfix - do{ if( !h->face->isBoundary() ) N += h->face->Anormal; }while( ( h = h->flip->next ) != he ); - - // returns the volume gradient normal - normal = N.unit(); - } - - vector isolated; // all isolated vertices point to isolated.begin() - - // returns true if the vertex is not contained in any face or edge; false otherwise - bool Vertex::isIsolated( void ) const { return he == isolated.begin(); } - - // returns the number of incident faces - const unsigned int Vertex :: valence( void ) const { - unsigned int n = 0; - - HalfEdgeCIter h = he; - do{ n++; }while( ( h = h->flip->next ) != he ); - - return n; - } - - // return the kVec as a worldspace vector - const Vector Vertex::kVec( void ) const { - const Vector x = Xvector(); - const Vector n = normal; - // the corresponding tangent vector - const Vector xt = ( x - dot(x,n)*n ).unit(); - const double theta = u.arg(); - const Quaternion r(cos(theta/2),sin(theta/2)*n); - - return u.norm()*(r*Quaternion(0,xt)*r.conj()).im(); - } - - const Vector Vertex::Xvector( void ) const{ - return X()->next->vertex->position - X()->vertex->position; - } - - double - Vertex::AngleOfEdge( const HalfEdgeCIter he ) const{ - // measure the angle from X() to he - HalfEdgeIter hi = X(); double aCi = 0; - while( hi != he ){ - // no angle to add for outer face; notice that we exit. The - // assumption is that for a vertex on the boundary the - // (only!) outer face will be the last face; so just exit - if( hi->face->isBoundary() ) break; - - // get the angle that needs to be added to get to the next edge - aCi += hi->face->alpha[hi->face->i(this->he->vertex)]; - - // iterate - hi = hi->next->next->flip; - - // guard against infinite loop - assert( hi != X() ); - } - return aCi * s; - } - - void - Vertex::EnforceBoundaryHalfEdgeConvention( void ){ - // if a vertex is on the boundary we want its he pointer to point - // to the first boundary edge in CCW order; enforce this here - HalfEdgeIter hi = he; - do{ - // if there is a boundary face bend the he pointer and exit - if( hi->flip->face->isBoundary() ){ he = hi; break; } - }while( ( hi = hi->flip->next ) != he ); - } - - double Vertex::BoundaryNormalAngle() - { - HalfEdgeIter h = he; - do - { - if( h->onBoundary ) break; - h = h->next->next->flip; - } - while( h != he ); - - return AngleOfEdge( h )/2.; - } - - Complex Vertex::BoundaryValue( unsigned int n ) - { - double theta = n * BoundaryNormalAngle(); - return Complex( cos(theta), sin(theta) ); - } -} - +#include +#include +#include +using namespace std; + +#include "Vertex.h" +#include "Mesh.h" +#include "HalfEdge.h" +#include "Quaternion.h" + +namespace DDG +{ + // returns the vertex normal + void Vertex::updateNormal( void ) { + Vector N(0,0,0); + + HalfEdgeCIter h = he; + // PS: bugfix + do{ if( !h->face->isBoundary() ) N += h->face->Anormal; }while( ( h = h->flip->next ) != he ); + + // returns the volume gradient normal + normal = N.unit(); + } + + vector isolated; // all isolated vertices point to isolated.begin() + + // returns true if the vertex is not contained in any face or edge; false otherwise + bool Vertex::isIsolated( void ) const { return he == isolated.begin(); } + + // returns the number of incident faces + const unsigned int Vertex :: valence( void ) const { + unsigned int n = 0; + + HalfEdgeCIter h = he; + do{ n++; }while( ( h = h->flip->next ) != he ); + + return n; + } + + // return the kVec as a worldspace vector + const Vector Vertex::kVec( void ) const { + const Vector x = Xvector(); + const Vector n = normal; + // the corresponding tangent vector + const Vector xt = ( x - dot(x,n)*n ).unit(); + const double theta = u.arg(); + const Quaternion r(cos(theta/2),sin(theta/2)*n); + + return u.norm()*(r*Quaternion(0,xt)*r.conj()).im(); + } + + const Vector Vertex::Xvector( void ) const{ + return X()->next->vertex->position - X()->vertex->position; + } + + double + Vertex::AngleOfEdge( const HalfEdgeCIter he ) const{ + // measure the angle from X() to he + HalfEdgeIter hi = X(); double aCi = 0; + while( hi != he ){ + // no angle to add for outer face; notice that we exit. The + // assumption is that for a vertex on the boundary the + // (only!) outer face will be the last face; so just exit + if( hi->face->isBoundary() ) break; + + // get the angle that needs to be added to get to the next edge + aCi += hi->face->alpha[hi->face->i(this->he->vertex)]; + + // iterate + hi = hi->next->next->flip; + + // guard against infinite loop + assert( hi != X() ); + } + return aCi * s; + } + + void + Vertex::EnforceBoundaryHalfEdgeConvention( void ){ + // if a vertex is on the boundary we want its he pointer to point + // to the first boundary edge in CCW order; enforce this here + HalfEdgeIter hi = he; + do{ + // if there is a boundary face bend the he pointer and exit + if( hi->flip->face->isBoundary() ){ he = hi; break; } + }while( ( hi = hi->flip->next ) != he ); + } + + double Vertex::BoundaryNormalAngle() + { + HalfEdgeIter h = he; + do + { + if( h->onBoundary ) break; + h = h->next->next->flip; + } + while( h != he ); + + return AngleOfEdge( h )/2.; + } + + Complex Vertex::BoundaryValue( unsigned int n ) + { + double theta = n * BoundaryNormalAngle(); + return Complex( cos(theta), sin(theta) ); + } +} + diff --git a/src/Viewer.cpp b/src/Viewer.cpp index c124250..6c6a8aa 100644 --- a/src/Viewer.cpp +++ b/src/Viewer.cpp @@ -1,817 +1,897 @@ -#include -#include -#include -#include -#include -#include -#include -using namespace std; - -#include "Viewer.h" -#include "Image.h" -#include "Utility.h" -#include "SectionIntegrals.h" - -namespace DDG -{ - // declare static member variables - Mesh Viewer::mesh; - Viewer::RenderMode Viewer::mode = renderShaded; - bool Viewer::fieldViz = false; - bool Viewer::hedgehogViz = false; - bool Viewer::showSingularities = true; - GLuint Viewer::surfaceDL = 0; - int Viewer::windowSize[2] = { 512, 512 }; - Camera Viewer::camera; - Shader Viewer::shader; - int Viewer::fieldDegree = 1; - bool Viewer::align = false; - bool Viewer::fixBoundary = false; - double Viewer::t = 0.; - double Viewer::s = 0.; - - void Viewer :: init( void ) - { - restoreViewerState(); - initGLUT(); - initGL(); - initGLSL(); - - updateDisplayList(); - - glutMainLoop(); - } - - void Viewer :: initGL( void ) - { - glClearColor( 1., 1., 1., 0. ); - initLighting(); - } - - void Viewer :: initGLUT( void ) - { - int argc = 0; - vector< vector > argv(1); - - // initialize window - glutInitWindowSize( windowSize[0], windowSize[1] ); - glutInitDisplayString("rgba stencil double samples=16"); - //glutInitDisplayMode( GLUT_RGB | GLUT_DOUBLE | GLUT_DEPTH ); - glutInit( &argc, (char**)&argv ); - glutCreateWindow( "DDG" ); - - // specify callbacks - glutDisplayFunc ( Viewer::display ); - glutIdleFunc ( Viewer::idle ); - glutKeyboardFunc ( Viewer::keyboard ); - glutSpecialFunc ( Viewer::special ); - glutMouseFunc ( Viewer::mouse ); - glutMotionFunc ( Viewer::motion ); - - // initialize menus - int viewMenu = glutCreateMenu( Viewer::view ); - glutSetMenu( viewMenu ); - glutAddMenuEntry( "[m] Smooth Shaded", menuSmoothShaded ); - glutAddMenuEntry( "[f] Wireframe", menuWireframe ); - glutAddMenuEntry( "[↑] Zoom In", menuZoomIn ); - glutAddMenuEntry( "[↓] Zoom Out", menuZoomOut ); - glutAddMenuEntry( "[*] Toggle Singularities", menuToggleSingularities ); - - int mainMenu = glutCreateMenu( Viewer::menu ); - glutSetMenu( mainMenu ); - glutAddMenuEntry( "[u] Smooth Field", menuSmoothField ); - glutAddMenuEntry( "[c] Toggle Curvature", menuToggleAlignment ); - glutAddMenuEntry( "[b] Toggle Fixed Boundary", menuToggleFixedBoundary ); - glutAddMenuEntry( "[r] Reset Mesh", menuResetMesh ); - glutAddMenuEntry( "[w] Write Mesh", menuWriteMesh ); - glutAddMenuEntry( "[\\] Screenshot", menuScreenshot ); - glutAddMenuEntry( "[esc] Exit", menuExit ); - glutAddSubMenu( "View", viewMenu ); - glutAttachMenu( GLUT_RIGHT_BUTTON ); - } - - void Viewer :: initGLSL( void ) - { - shader.loadVertex( "shaders/vertex.glsl" ); - shader.loadFragment( "shaders/fragment.glsl" ); - } - - void Viewer :: initLighting( void ) - { - GLfloat position[4] = { 20., 30., 40., 0. }; - glLightfv( GL_LIGHT0, GL_POSITION, position ); - glEnable( GL_LIGHT0 ); - glEnable( GL_NORMALIZE ); - } - - void Viewer :: menu( int value ) - { - switch( value ) - { - case( menuSmoothField ): - mSmoothField(); - break; - case( menuToggleHedgehog ): - mToggleHedgehog(); - break; - case( menuResetMesh ): - mResetMesh(); - break; - case( menuToggleAlignment ): - mToggleAlignment(); - break; - case( menuToggleFixedBoundary ): - mToggleFixedBoundary(); - break; - case( menuWriteMesh ): - mWriteMesh(); - break; - case( menuScreenshot ): - mScreenshot(); - break; - case( menuExit ): - mExit(); - break; - default: - break; - } - } - - void Viewer :: view( int value ) - { - switch( value ) - { - case( menuSmoothShaded ): - mSmoothShaded(); - break; - case( menuWireframe ): - mWireframe(); - break; - case( menuZoomIn ): - mZoomIn(); - break; - case( menuZoomOut ): - mZoomOut(); - break; - default: - break; - } - } - - void Viewer :: mSmoothField( void ) - { - static bool first_call = true; - if( first_call ) - { - mesh.InitKVecDirData(); - first_call = false; - } - - mesh.clearSingularities(); - - if( align ) - { - mesh.SmoothestCurvatureAlignment( fieldDegree, s, t, true ); - } - else if( fixBoundary ) - { - mesh.ComputeSmoothestFixedBoundary( fieldDegree, s, true ); - } - else - { - mesh.ComputeSmoothest( fieldDegree, s, true ); - } - - fieldViz = true; - - updateDisplayList(); - } - - void Viewer :: mResetMesh( void ) - { - mesh.reload(); - updateDisplayList(); - } - - void Viewer :: mWriteMesh( void ) - { - mesh.write( "out.obj", fieldDegree ); - } - - void Viewer :: mExit( void ) - { - storeViewerState(); - exit( 0 ); - } - - void Viewer :: mToggleAlignment( void ) - { - align = !align; - if( align ) fixBoundary = false; - } - - void Viewer :: mToggleFixedBoundary( void ) - { - fixBoundary = !fixBoundary; - if( fixBoundary ) align = false; - } - - void Viewer :: mSmoothShaded( void ) - { - mode = renderShaded; - updateDisplayList(); - } - - void Viewer :: mWireframe( void ) - { - mode = renderWireframe; - updateDisplayList(); - } - - void Viewer :: mToggleSingularities( void ) - { - showSingularities = !showSingularities; - updateDisplayList(); - } - - void Viewer :: mZoomIn( void ) - { - camera.zoomIn(); - } - - void Viewer :: mZoomOut( void ) - { - camera.zoomOut(); - } - - void Viewer :: mScreenshot( void ) - { - static int index = 0; - - // get window width and height - GLint view[4]; - glGetIntegerv( GL_VIEWPORT, view ); - int w = view[2]; - int h = view[3]; - - // get pixels - Image image( w, h ); - glReadPixels( 0, 0, w, h, GL_BGR, GL_FLOAT, &image(0,0) ); - - stringstream filename; - filename << "frames/viewer" << setw(8) << setfill( '0' ) << index << ".tga"; - image.write( filename.str().c_str() ); - - index++; - } - - void Viewer :: keyboard( unsigned char c, int x, int y ) - { - switch( c ) - { - case 'K': - fieldDegree--; - if( fieldDegree < 1 ) fieldDegree = 1; - break; - case 'k': - fieldDegree++; - break; - case 's': - s += .01; - s = max( -1.+1e-7, min( 1.-1e-7, s )); - break; - case 'S': - s -= .01; - s = max( -1.+1e-7, min( 1.-1e-7, s )); - break; - case 't': - t += .01; - break; - case 'T': - t -= .01; - break; - case 'm': - mSmoothShaded(); - break; - case 'f': - mWireframe(); - break; - case 'w': - mWriteMesh(); - break; - case 'r': - mResetMesh(); - break; - case '\\': - mScreenshot(); - break; - case ' ': - mSmoothField(); - break; - case 'b': - mToggleFixedBoundary(); - break; - case 'c': - mToggleAlignment(); - break; - case '*': - mToggleSingularities(); - break; - case 27: - mExit(); - break; - default: - break; - } - - // glutPostRedisplay(); - } - - void Viewer :: special( int i, int x, int y ) - { - switch( i ) - { - case GLUT_KEY_UP: - camera.zoomIn(); - break; - case GLUT_KEY_DOWN: - camera.zoomOut(); - break; - case 27: - mExit(); - break; - default: - break; - } - } - - void Viewer :: display( void ) - { - glClear( GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT ); - - shader.enable(); - - glMatrixMode( GL_PROJECTION ); - glLoadIdentity(); - - GLint viewport[4]; - glGetIntegerv( GL_VIEWPORT, viewport ); - double aspect = (double) viewport[2] / (double) viewport[3]; - const double fovy = 50.; - const double clipNear = .01; - const double clipFar = 1000.; - gluPerspective( fovy, aspect, clipNear, clipFar ); - - glMatrixMode( GL_MODELVIEW ); - glLoadIdentity(); - - Quaternion eye = Vector( 0., 0., -2.5*camera.zoom ); - Quaternion center = Vector( 0., 0., 0. ); - Quaternion up = Vector( 0., 1., 0. ); - - gluLookAt( eye[1], eye[2], eye[3], - center[1], center[2], center[3], - up[1], up[2], up[3] ); - - - Quaternion r = camera.currentRotation(); - - eye = r.conj() * eye * r; - GLint uniformEye = glGetUniformLocation( shader, "eye" ); - glUniform3f( uniformEye, eye[1], eye[2], eye[3] ); - - Quaternion light = Vector( -1., 1., -2. ); - light = r.conj() * light * r; - GLint uniformLight = glGetUniformLocation( shader, "light" ); - glUniform3f( uniformLight, light[1], light[2], light[3] ); - - camera.setView(); - - drawSurface(); - - shader.disable(); - - drawInfo(); - - glutSwapBuffers(); - } - - void Viewer :: setMeshMaterial( void ) - { - GLfloat diffuse[4] = { 1., .5, .25, 1. }; - GLfloat specular[4] = { .3, .3, .30, 1. }; - GLfloat ambient[4] = { .2, .2, .50, 1. }; - - glColor4fv( diffuse ); - glMaterialfv( GL_FRONT_AND_BACK, GL_DIFFUSE, diffuse ); - glMaterialfv( GL_FRONT_AND_BACK, GL_SPECULAR, specular ); - glMaterialfv( GL_FRONT_AND_BACK, GL_AMBIENT, ambient ); - glMaterialf ( GL_FRONT_AND_BACK, GL_SHININESS, 16. ); - } - - void Viewer :: drawSurface( void ) - { - glPushAttrib( GL_ALL_ATTRIB_BITS ); - - glEnable( GL_DEPTH_TEST ); - glDisable( GL_LIGHTING ); - - glCallList( surfaceDL ); - - glPopAttrib(); - } - - void Viewer :: drawMesh( void ) - { - glPushAttrib( GL_ALL_ATTRIB_BITS ); - - glEnable( GL_POLYGON_OFFSET_FILL ); - glPolygonOffset( 1., 1. ); - - drawPolygons(); - - glDisable( GL_POLYGON_OFFSET_FILL ); - - if( mode == renderWireframe ) - { - shader.disable(); - drawWireframe(); - // shader.enable(); - } - - //if( hedgehogViz ) - //{ - // shader.disable(); - // drawHedgehog(); - //} - - drawIsolatedVertices(); - - glPopAttrib(); - } - - void Viewer :: drawPolygons( void ) - { - glBegin( GL_TRIANGLES ); - for( FaceCIter f = mesh.faces.begin(); - f != mesh.faces.end(); - f ++ ) - { - if( f->isBoundary() ) continue; - - if( mode == renderWireframe ) - { - Vector N = f->normal; - glNormal3dv( &N[0] ); - } - - HalfEdgeCIter he = f->he; - do - { - if( mode != renderWireframe ) - { - Vector N = he->vertex->normal; - glNormal3dv( &N[0] ); - } - - glVertex3dv( &he->vertex->position[0] ); - - he = he->next; - } - while( he != f->he ); - } - glEnd(); - } - - void Viewer :: drawField( void ) - { - const double pi = DDGConstants::PI; - const double scale = (fieldDegree==1) ? 1. : .5; - - glPushAttrib( GL_ALL_ATTRIB_BITS ); - - shader.disable(); - - glLineWidth(1.); - glColor4f( 0., 0., 0., .5 ); - glEnable( GL_BLEND ); - glBlendFunc( GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA ); - - glBegin( GL_LINES ); - for( VertexIter vi = mesh.vertices.begin(); vi != mesh.vertices.end(); vi++ ) - { - const Vector c = vi->position; // vertex location - const Vector N = vi->normal; // normal - const Vector e1 = vi->Xvector(); // bases for tangent plane - const Vector e2 = cross( N, e1 ); - - const double theta = vi->u.arg(); - - for( int i = 0; i < fieldDegree; i++ ) - { - const double phi = i*2.*pi/fieldDegree + theta; - const Vector L = scale * vi->u.norm() * ( cos(phi)*e1 + sin(phi)*e2 ); - - glVertex3dv( &c[0] ); - glVertex3dv( &(c+L)[0] ); - } - } - glEnd(); - - glPopAttrib(); - } - - void Viewer :: drawWireframe( void ) - { - glPushAttrib( GL_ALL_ATTRIB_BITS ); - - glColor4f( 0., 0., 0., .5 ); - glEnable( GL_BLEND ); - glBlendFunc( GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA ); - - glLineWidth( 10.0f ); - glBegin( GL_LINES ); - for( std::vector< std::vector >::const_iterator el = mesh.gens.begin(); el != mesh.gens.end(); el++ ){ - for( std::vector::const_iterator e = el->begin(); e != el->end(); e++ ){ - glVertex3dv( &((*e)->he->vertex->position[0]) ); - glVertex3dv( &((*e)->he->flip->vertex->position[0]) ); - } - } - glEnd(); - glLineWidth( 1.0f ); - glBegin( GL_LINES ); - for( EdgeCIter e = mesh.edges.begin(); - e != mesh.edges.end(); - e ++ ) - { - glVertex3dv( &e->he->vertex->position[0] ); - glVertex3dv( &e->he->flip->vertex->position[0] ); - } - glEnd(); - - glPopAttrib(); - } - - void Viewer :: drawIsolatedVertices( void ) - { - glPushAttrib( GL_ALL_ATTRIB_BITS ); - - // draw with big, round, red dots - glPointSize( 5 ); - glHint( GL_POINT_SMOOTH_HINT, GL_NICEST ); - glEnable( GL_POINT_SMOOTH ); - glEnable( GL_BLEND ); - glBlendFunc( GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA ); - glColor4f( 1., 0., 0., 1. ); // red - - glBegin( GL_POINTS ); - for( VertexCIter v = mesh.vertices.begin(); - v != mesh.vertices.end(); - v ++ ) - { - if( v->isIsolated() ) - { - glVertex3dv( &v->position[0] ); - } - } - glEnd(); - - glPopAttrib(); - } - - void Viewer :: drawSingularities( void ) - { - glPushAttrib( GL_ALL_ATTRIB_BITS ); - glMatrixMode( GL_MODELVIEW ); - - shader.enable(); - - double radius = .02 * mesh.radius; - int nSlices = 24; - int nStacks = 24; - - for( FaceCIter f = mesh.faces.begin(); - f != mesh.faces.end(); - f ++ ) - { - if( f->isBoundary() ) continue; - if( f->sing != 0 ) - { - Vector c = f->barycenter(); - - if( f->sing < 0 ) glColor3f( 0., 0., 1. ); - else glColor3f( 1., 0., 0. ); - - glPushMatrix(); - glTranslatef( c.x, c.y, c.z ); - glutSolidSphere( radius, nSlices, nStacks ); - glPopMatrix(); - } - } - - glPopAttrib(); - } - - void Viewer :: updateDisplayList( void ) - { - if( surfaceDL ) - { - glDeleteLists( surfaceDL, 1 ); - surfaceDL = 0; - } - - surfaceDL = glGenLists( 1 ); - - setMeshMaterial(); - - glNewList( surfaceDL, GL_COMPILE ); - drawMesh(); - if( fieldViz && !hedgehogViz ) - { - drawField(); - } - if( fieldViz || hedgehogViz ) - { - if( showSingularities ) - { - drawSingularities(); - } - } - glEndList(); - - display(); - } - - void Viewer :: mouse( int button, int state, int x, int y ) - { - camera.mouse( button, state, x, y ); - } - - void Viewer :: motion( int x, int y ) - { - camera.motion( x, y ); - } - - void Viewer :: idle( void ) - { - camera.idle(); - glutPostRedisplay(); - } - - void Viewer :: storeViewerState( void ) - { - ofstream out( ".viewer_state.txt" ); - - out << camera.rLast[0] << endl; - out << camera.rLast[1] << endl; - out << camera.rLast[2] << endl; - out << camera.rLast[3] << endl; - - GLint view[4]; - glGetIntegerv( GL_VIEWPORT, view ); - out << view[2] << endl; - out << view[3] << endl; - - out << (int) mode << endl; - } - - void Viewer :: restoreViewerState( void ) - { - ifstream in( ".viewer_state.txt" ); - - if( !in.is_open() ) return; - - in >> camera.rLast[0]; - in >> camera.rLast[1]; - in >> camera.rLast[2]; - in >> camera.rLast[3]; - - in >> windowSize[0]; - in >> windowSize[1]; - - int m; - in >> m; - mode = (RenderMode) m; - } - - void Viewer :: drawString( string s, int x, int y, stringAlignment alignment ) - { - if( alignment == alignRight ) - { - glRasterPos2f( x-9*(s.length()+1), y ); - } - else if( alignment == alignCenter ) - { - glRasterPos2f( x-9*(s.length()/2+1), y ); - } - else - { - glRasterPos2f( x, y ); - } - - for( size_t i = 0; i < s.length(); i++ ) - { - glutBitmapCharacter( GLUT_BITMAP_9_BY_15, s[i] ); - } - } - - void Viewer :: drawInfo( void ) - { - glPushAttrib( GL_ALL_ATTRIB_BITS ); - glDisable( GL_DEPTH_TEST ); - - GLint viewport[4]; - glGetIntegerv( GL_VIEWPORT, viewport ); - int W = viewport[2]; - int H = viewport[3]; - - glMatrixMode( GL_PROJECTION ); glPushMatrix(); glLoadIdentity(); - glOrtho( 0., W, 0., H, .1, 100. ); - glMatrixMode( GL_MODELVIEW ); glPushMatrix(); glLoadIdentity(); - glTranslatef( 0., 0., -1. ); - - glColor3f( 0., 0., 0. ); - - int h = 16; - int hInc = 14; - - // display field degree - { - stringstream ss; - ss << "k: " << fieldDegree; - drawString( ss.str(), 16, H-h, alignLeft ); - h += hInc; - } - - // display curvature alignment - { - stringstream ss; - ss << "curvature alignment: " << (align?"on":"off"); - drawString( ss.str(), 16, H-h ); - h += hInc; - } - - // display boundary alignment - { - stringstream ss; - ss << "boundary alignment: " << (fixBoundary?"on":"off"); - drawString( ss.str(), 16, H-h ); - h += hInc; - } - - // display s - { - stringstream ss; - ss << "s: " << s; - drawString( ss.str(), 16, H-h ); - h += hInc; - } - - // display t - { - stringstream ss; - ss << "t: " << t; - drawString( ss.str(), 16, H-h ); - h += hInc; - } - - glMatrixMode( GL_PROJECTION ); glPopMatrix(); - glMatrixMode( GL_MODELVIEW ); glPopMatrix(); - - glPopAttrib(); - } - - void Viewer :: mToggleHedgehog( void ) - { - hedgehogViz = !hedgehogViz; - updateDisplayList(); - } - - void Viewer :: drawHedgehog( void ) - { - const int nSamples = 10000; - const double arrowLength = .05; - - glPushAttrib( GL_ALL_ATTRIB_BITS ); - glEnable( GL_BLEND ); - glBlendFunc( GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA ); - glLineWidth( 2. ); - - glBegin( GL_LINES ); - for( int sample = 0; sample < nSamples; sample++ ) - { - FaceCIter f = mesh.sampleUniform(); - Vector p = f->sampleUniform(); - Vector Z = f->sampleField( p, fieldDegree ); - Vector a = f->toWorldCoordinates( p ); - Vector b = a + Z*arrowLength; - - glColor4f( 0., 0., 0., 1. ); glVertex3dv( &a[0] ); - glColor4f( 0., 0., 0., 0. ); glVertex3dv( &b[0] ); - } - glEnd(); - - glPopAttrib(); - } -} - +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#include "Viewer.h" +#include "Image.h" +#include "Utility.h" +#include "SectionIntegrals.h" + +namespace DDG +{ + // declare static member variables + Mesh Viewer::mesh; + Viewer::RenderMode Viewer::mode = renderShaded; + bool Viewer::fieldViz = false; + bool Viewer::hedgehogViz = false; + bool Viewer::showSingularities = true; + GLuint Viewer::surfaceDL = 0; + int Viewer::windowSize[2] = { 512, 512 }; + Camera Viewer::camera; + Shader Viewer::shader; + int Viewer::fieldDegree = 1; + bool Viewer::align = false; + bool Viewer::alignToGivenField = false; + bool Viewer::showInputField = false; + bool Viewer::fixBoundary = false; + double Viewer::t = 0.; + double Viewer::s = 0.; + double Viewer::alignmentMagnitude = 1.0; + + void Viewer :: init( void ) + { + restoreViewerState(); + initGLUT(); + initGL(); + initGLSL(); + + updateDisplayList(); + + glutMainLoop(); + } + + void Viewer :: initGL( void ) + { + glClearColor( 1., 1., 1., 0. ); + initLighting(); + } + + void Viewer :: initGLUT( void ) + { + int argc = 0; + vector< vector > argv(1); + + // initialize window + glutInitWindowSize( windowSize[0], windowSize[1] ); + glutInitDisplayString("rgba stencil double samples=16"); + //glutInitDisplayMode( GLUT_RGB | GLUT_DOUBLE | GLUT_DEPTH ); + glutInit( &argc, (char**)&argv ); + glutCreateWindow( "DDG" ); + + // specify callbacks + glutDisplayFunc ( Viewer::display ); + glutIdleFunc ( Viewer::idle ); + glutKeyboardFunc ( Viewer::keyboard ); + glutSpecialFunc ( Viewer::special ); + glutMouseFunc ( Viewer::mouse ); + glutMotionFunc ( Viewer::motion ); + + // initialize menus + int viewMenu = glutCreateMenu( Viewer::view ); + glutSetMenu( viewMenu ); + glutAddMenuEntry( "[m] Smooth Shaded", menuSmoothShaded ); + glutAddMenuEntry( "[f] Wireframe", menuWireframe ); + glutAddMenuEntry( "[↑] Zoom In", menuZoomIn ); + glutAddMenuEntry( "[↓] Zoom Out", menuZoomOut ); + glutAddMenuEntry( "[*] Toggle Singularities", menuToggleSingularities ); + + int mainMenu = glutCreateMenu( Viewer::menu ); + glutSetMenu( mainMenu ); + glutAddMenuEntry( "[u] Smooth Field", menuSmoothField ); + glutAddMenuEntry( "[c] Toggle Curvature", menuToggleAlignment ); + glutAddMenuEntry( "[v] Toggle Given field", menuToggleVecAlignment ); + glutAddMenuEntry( "[n] Toggle Input field", menuToggleInpAlignment ); + glutAddMenuEntry( "[b] Toggle Fixed Boundary", menuToggleFixedBoundary ); + glutAddMenuEntry( "[r] Reset Mesh", menuResetMesh ); + glutAddMenuEntry( "[w] Write Mesh", menuWriteMesh ); + glutAddMenuEntry( "[\\] Screenshot", menuScreenshot ); + glutAddMenuEntry( "[esc] Exit", menuExit ); + glutAddSubMenu( "View", viewMenu ); + glutAttachMenu( GLUT_RIGHT_BUTTON ); + } + + void Viewer :: initGLSL( void ) + { + shader.loadVertex( "shaders/vertex.glsl" ); + shader.loadFragment( "shaders/fragment.glsl" ); + } + + void Viewer :: initLighting( void ) + { + GLfloat position[4] = { 20., 30., 40., 0. }; + glLightfv( GL_LIGHT0, GL_POSITION, position ); + glEnable( GL_LIGHT0 ); + glEnable( GL_NORMALIZE ); + } + + void Viewer :: menu( int value ) + { + switch( value ) + { + case( menuSmoothField ): + mSmoothField(); + break; + case( menuToggleHedgehog ): + mToggleHedgehog(); + break; + case( menuResetMesh ): + mResetMesh(); + break; + case( menuToggleAlignment ): + mToggleAlignment(); + break; + case( menuToggleVecAlignment ): + mToggleGivenAlignment(); + break; + case( menuToggleInpAlignment ): + mToggleInputAlignment(); + break; + case( menuToggleFixedBoundary ): + mToggleFixedBoundary(); + break; + case( menuWriteMesh ): + mWriteMesh(); + break; + case( menuScreenshot ): + mScreenshot(); + break; + case( menuExit ): + mExit(); + break; + default: + break; + } + } + + void Viewer :: view( int value ) + { + switch( value ) + { + case( menuSmoothShaded ): + mSmoothShaded(); + break; + case( menuWireframe ): + mWireframe(); + break; + case( menuZoomIn ): + mZoomIn(); + break; + case( menuZoomOut ): + mZoomOut(); + break; + default: + break; + } + } + + void Viewer :: mSmoothField( void ) + { + mesh.InitKVecDirData(); + + mesh.clearSingularities(); + + if( align ) + { + mesh.SmoothestCurvatureAlignment( fieldDegree, s, t, true ); + } + else if( alignToGivenField ) + { + mesh.SmoothestGivenVectorAlignment( fieldDegree, s, t, alignmentMagnitude, true ); + } + else if( fixBoundary ) + { + mesh.ComputeSmoothestFixedBoundary( fieldDegree, s, true ); + } + else if ( showInputField ) + { + mesh.ComputeInputVectorFields(); + } + else + { + mesh.ComputeSmoothest( fieldDegree, s, true ); + } + + fieldViz = true; + + updateDisplayList(); + } + + void Viewer :: mResetMesh( void ) + { + mesh.reload(); + updateDisplayList(); + } + + void Viewer :: mWriteMesh( void ) + { + mesh.write( "out.obj", fieldDegree ); + } + + void Viewer :: mExit( void ) + { + storeViewerState(); + exit( 0 ); + } + + void Viewer :: mToggleAlignment( void ) + { + align = !align; + if( align ){ + fixBoundary = false; + alignToGivenField = false; + showInputField = false; + } + } + + void Viewer :: mToggleGivenAlignment( void ) + { + alignToGivenField = !alignToGivenField; + if( alignToGivenField ){ + fixBoundary = false; + align = false; + showInputField = false; + } + } + + void Viewer :: mToggleInputAlignment( void ) + { + showInputField = !showInputField; + if( showInputField ){ + fixBoundary = false; + align = false; + alignToGivenField = false; + } + } + + void Viewer :: mToggleFixedBoundary( void ) + { + fixBoundary = !fixBoundary; + if( fixBoundary ){ + align = false; + alignToGivenField = false; + showInputField = false; + } + } + + void Viewer :: mSmoothShaded( void ) + { + mode = renderShaded; + updateDisplayList(); + } + + void Viewer :: mWireframe( void ) + { + mode = renderWireframe; + updateDisplayList(); + } + + void Viewer :: mToggleSingularities( void ) + { + showSingularities = !showSingularities; + updateDisplayList(); + } + + void Viewer :: mZoomIn( void ) + { + camera.zoomIn(); + } + + void Viewer :: mZoomOut( void ) + { + camera.zoomOut(); + } + + void Viewer :: mScreenshot( void ) + { + static int index = 0; + + // get window width and height + GLint view[4]; + glGetIntegerv( GL_VIEWPORT, view ); + int w = view[2]; + int h = view[3]; + + // get pixels + Image image( w, h ); + glReadPixels( 0, 0, w, h, GL_BGR, GL_FLOAT, &image(0,0) ); + + stringstream filename; + filename << "frames/viewer" << setw(8) << setfill( '0' ) << index << ".tga"; + image.write( filename.str().c_str() ); + + index++; + } + + void Viewer :: keyboard( unsigned char c, int x, int y ) + { + switch( c ) + { + case 'K': + fieldDegree--; + if( fieldDegree < 1 ) fieldDegree = 1; + break; + case 'k': + fieldDegree++; + break; + case 's': + s += .01; + s = max( -1.+1e-7, min( 1.-1e-7, s )); + break; + case 'S': + s -= .01; + s = max( -1.+1e-7, min( 1.-1e-7, s )); + break; + case 't': + t += 100; + break; + case 'T': + t -= 100; + break; + case 'a': + alignmentMagnitude *= 10; + break; + case 'A': + alignmentMagnitude /= 10; + break; + case 'm': + mSmoothShaded(); + break; + case 'f': + mWireframe(); + break; + case 'w': + mWriteMesh(); + break; + case 'r': + mResetMesh(); + break; + case '\\': + mScreenshot(); + break; + case ' ': + mSmoothField(); + break; + case 'b': + mToggleFixedBoundary(); + break; + case 'c': + mToggleAlignment(); + break; + case 'v': + mToggleGivenAlignment(); + break; + case 'n': + mToggleInputAlignment(); + break; + case '*': + mToggleSingularities(); + break; + case 27: + mExit(); + break; + default: + break; + } + + // glutPostRedisplay(); + } + + void Viewer :: special( int i, int x, int y ) + { + switch( i ) + { + case GLUT_KEY_UP: + camera.zoomIn(); + break; + case GLUT_KEY_DOWN: + camera.zoomOut(); + break; + case 27: + mExit(); + break; + default: + break; + } + } + + void Viewer :: display( void ) + { + glClear( GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT ); + + shader.enable(); + + glMatrixMode( GL_PROJECTION ); + glLoadIdentity(); + + GLint viewport[4]; + glGetIntegerv( GL_VIEWPORT, viewport ); + double aspect = (double) viewport[2] / (double) viewport[3]; + const double fovy = 50.; + const double clipNear = .01; + const double clipFar = 1000.; + gluPerspective( fovy, aspect, clipNear, clipFar ); + + glMatrixMode( GL_MODELVIEW ); + glLoadIdentity(); + + Quaternion eye = Vector( 0., 0., -2.5*camera.zoom ); + Quaternion center = Vector( 0., 0., 0. ); + Quaternion up = Vector( 0., 1., 0. ); + + gluLookAt( eye[1], eye[2], eye[3], + center[1], center[2], center[3], + up[1], up[2], up[3] ); + + + Quaternion r = camera.currentRotation(); + + eye = r.conj() * eye * r; + GLint uniformEye = glGetUniformLocation( shader, "eye" ); + glUniform3f( uniformEye, eye[1], eye[2], eye[3] ); + + Quaternion light = Vector( -1., 1., -2. ); + light = r.conj() * light * r; + GLint uniformLight = glGetUniformLocation( shader, "light" ); + glUniform3f( uniformLight, light[1], light[2], light[3] ); + + camera.setView(); + + drawSurface(); + + shader.disable(); + + drawInfo(); + + glutSwapBuffers(); + } + + void Viewer :: setMeshMaterial( void ) + { + GLfloat diffuse[4] = { 1., .5, .25, 1. }; + GLfloat specular[4] = { .3, .3, .30, 1. }; + GLfloat ambient[4] = { .2, .2, .50, 1. }; + + glColor4fv( diffuse ); + glMaterialfv( GL_FRONT_AND_BACK, GL_DIFFUSE, diffuse ); + glMaterialfv( GL_FRONT_AND_BACK, GL_SPECULAR, specular ); + glMaterialfv( GL_FRONT_AND_BACK, GL_AMBIENT, ambient ); + glMaterialf ( GL_FRONT_AND_BACK, GL_SHININESS, 16. ); + } + + void Viewer :: drawSurface( void ) + { + glPushAttrib( GL_ALL_ATTRIB_BITS ); + + glEnable( GL_DEPTH_TEST ); + glDisable( GL_LIGHTING ); + + glCallList( surfaceDL ); + + glPopAttrib(); + } + + void Viewer :: drawMesh( void ) + { + glPushAttrib( GL_ALL_ATTRIB_BITS ); + + glEnable( GL_POLYGON_OFFSET_FILL ); + glPolygonOffset( 1., 1. ); + + drawPolygons(); + + glDisable( GL_POLYGON_OFFSET_FILL ); + + if( mode == renderWireframe ) + { + shader.disable(); + drawWireframe(); + // shader.enable(); + } + + //if( hedgehogViz ) + //{ + // shader.disable(); + // drawHedgehog(); + //} + + drawIsolatedVertices(); + + glPopAttrib(); + } + + void Viewer :: drawPolygons( void ) + { + glBegin( GL_TRIANGLES ); + for( FaceCIter f = mesh.faces.begin(); + f != mesh.faces.end(); + f ++ ) + { + if( f->isBoundary() ) continue; + + if( mode == renderWireframe ) + { + Vector N = f->normal; + glNormal3dv( &N[0] ); + } + + HalfEdgeCIter he = f->he; + do + { + if( mode != renderWireframe ) + { + Vector N = he->vertex->normal; + glNormal3dv( &N[0] ); + } + + glVertex3dv( &he->vertex->position[0] ); + + he = he->next; + } + while( he != f->he ); + } + glEnd(); + } + + void Viewer :: drawField( void ) + { + const double pi = DDGConstants::PI; + const double scale = (fieldDegree==1) ? 1. : .5; + + glPushAttrib( GL_ALL_ATTRIB_BITS ); + + shader.disable(); + + glLineWidth(1.); + glColor4f( 0., 0., 0., .5 ); + glEnable( GL_BLEND ); + glBlendFunc( GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA ); + + glBegin( GL_LINES ); + for( VertexIter vi = mesh.vertices.begin(); vi != mesh.vertices.end(); vi++ ) + { + const Vector c = vi->position; // vertex location + const Vector N = vi->normal; // normal + const Vector e1 = vi->Xvector(); // bases for tangent plane + const Vector e2 = cross( N, e1 ); + + const Vector e3 = cross( e2, N ); + + const double theta = vi->u.arg(); + + for( int i = 0; i < fieldDegree; i++ ) + { + const double phi = i*2.*pi/fieldDegree + theta; + const Vector L = scale * vi->u.norm() * ( cos(phi)*e3 + sin(phi)*e2 ); + + glVertex3dv( &c[0] ); + glVertex3dv( &(c+L)[0] ); + } + } + glEnd(); + + glPopAttrib(); + } + + void Viewer :: drawWireframe( void ) + { + glPushAttrib( GL_ALL_ATTRIB_BITS ); + + glColor4f( 0., 0., 0., .5 ); + glEnable( GL_BLEND ); + glBlendFunc( GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA ); + + glLineWidth( 10.0f ); + glBegin( GL_LINES ); + for( std::vector< std::vector >::const_iterator el = mesh.gens.begin(); el != mesh.gens.end(); el++ ){ + for( std::vector::const_iterator e = el->begin(); e != el->end(); e++ ){ + glVertex3dv( &((*e)->he->vertex->position[0]) ); + glVertex3dv( &((*e)->he->flip->vertex->position[0]) ); + } + } + glEnd(); + glLineWidth( 1.0f ); + glBegin( GL_LINES ); + for( EdgeCIter e = mesh.edges.begin(); + e != mesh.edges.end(); + e ++ ) + { + glVertex3dv( &e->he->vertex->position[0] ); + glVertex3dv( &e->he->flip->vertex->position[0] ); + } + glEnd(); + + glPopAttrib(); + } + + void Viewer :: drawIsolatedVertices( void ) + { + glPushAttrib( GL_ALL_ATTRIB_BITS ); + + // draw with big, round, red dots + glPointSize( 5 ); + glHint( GL_POINT_SMOOTH_HINT, GL_NICEST ); + glEnable( GL_POINT_SMOOTH ); + glEnable( GL_BLEND ); + glBlendFunc( GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA ); + glColor4f( 1., 0., 0., 1. ); // red + + glBegin( GL_POINTS ); + for( VertexCIter v = mesh.vertices.begin(); + v != mesh.vertices.end(); + v ++ ) + { + if( v->isIsolated() ) + { + glVertex3dv( &v->position[0] ); + } + } + glEnd(); + + glPopAttrib(); + } + + void Viewer :: drawSingularities( void ) + { + glPushAttrib( GL_ALL_ATTRIB_BITS ); + glMatrixMode( GL_MODELVIEW ); + + shader.enable(); + + double radius = .02 * mesh.radius; + int nSlices = 24; + int nStacks = 24; + + for( FaceCIter f = mesh.faces.begin(); + f != mesh.faces.end(); + f ++ ) + { + if( f->isBoundary() ) continue; + if( f->sing != 0 ) + { + Vector c = f->barycenter(); + + if( f->sing < 0 ) glColor3f( 0., 0., 1. ); + else glColor3f( 1., 0., 0. ); + + glPushMatrix(); + glTranslatef( c.x, c.y, c.z ); + glutSolidSphere( radius, nSlices, nStacks ); + glPopMatrix(); + } + } + + glPopAttrib(); + } + + void Viewer :: updateDisplayList( void ) + { + if( surfaceDL ) + { + glDeleteLists( surfaceDL, 1 ); + surfaceDL = 0; + } + + surfaceDL = glGenLists( 1 ); + + setMeshMaterial(); + + glNewList( surfaceDL, GL_COMPILE ); + drawMesh(); + if( fieldViz && !hedgehogViz ) + { + drawField(); + } + if( fieldViz || hedgehogViz ) + { + if( showSingularities ) + { + drawSingularities(); + } + } + glEndList(); + + display(); + } + + void Viewer :: mouse( int button, int state, int x, int y ) + { + camera.mouse( button, state, x, y ); + } + + void Viewer :: motion( int x, int y ) + { + camera.motion( x, y ); + } + + void Viewer :: idle( void ) + { + camera.idle(); + glutPostRedisplay(); + } + + void Viewer :: storeViewerState( void ) + { + ofstream out( ".viewer_state.txt" ); + + out << camera.rLast[0] << endl; + out << camera.rLast[1] << endl; + out << camera.rLast[2] << endl; + out << camera.rLast[3] << endl; + + GLint view[4]; + glGetIntegerv( GL_VIEWPORT, view ); + out << view[2] << endl; + out << view[3] << endl; + + out << (int) mode << endl; + } + + void Viewer :: restoreViewerState( void ) + { + ifstream in( ".viewer_state.txt" ); + + if( !in.is_open() ) return; + + in >> camera.rLast[0]; + in >> camera.rLast[1]; + in >> camera.rLast[2]; + in >> camera.rLast[3]; + + in >> windowSize[0]; + in >> windowSize[1]; + + int m; + in >> m; + mode = (RenderMode) m; + } + + void Viewer :: drawString( string s, int x, int y, stringAlignment alignment ) + { + if( alignment == alignRight ) + { + glRasterPos2f( x-9*(s.length()+1), y ); + } + else if( alignment == alignCenter ) + { + glRasterPos2f( x-9*(s.length()/2+1), y ); + } + else + { + glRasterPos2f( x, y ); + } + + for( size_t i = 0; i < s.length(); i++ ) + { + glutBitmapCharacter( GLUT_BITMAP_9_BY_15, s[i] ); + } + } + + void Viewer :: drawInfo( void ) + { + glPushAttrib( GL_ALL_ATTRIB_BITS ); + glDisable( GL_DEPTH_TEST ); + + GLint viewport[4]; + glGetIntegerv( GL_VIEWPORT, viewport ); + int W = viewport[2]; + int H = viewport[3]; + + glMatrixMode( GL_PROJECTION ); glPushMatrix(); glLoadIdentity(); + glOrtho( 0., W, 0., H, .1, 100. ); + glMatrixMode( GL_MODELVIEW ); glPushMatrix(); glLoadIdentity(); + glTranslatef( 0., 0., -1. ); + + glColor3f( 0., 0., 0. ); + + int h = 16; + int hInc = 14; + + // display field degree + { + stringstream ss; + ss << "k: " << fieldDegree; + drawString( ss.str(), 16, H-h, alignLeft ); + h += hInc; + } + + // display curvature alignment + { + stringstream ss; + ss << "curvature alignment: " << (align?"on":"off"); + drawString( ss.str(), 16, H-h ); + h += hInc; + } + + // display given field alignment + { + stringstream ss; + ss << "given field alignment: " << (alignToGivenField?"on":"off"); + drawString( ss.str(), 16, H-h ); + h += hInc; + } + + // display input vector field + { + stringstream ss; + ss << "show input field: " << (showInputField?"on":"off"); + drawString( ss.str(), 16, H-h ); + h += hInc; + } + + // display boundary alignment + { + stringstream ss; + ss << "boundary alignment: " << (fixBoundary?"on":"off"); + drawString( ss.str(), 16, H-h ); + h += hInc; + } + + // display s + { + stringstream ss; + ss << "s: " << s; + drawString( ss.str(), 16, H-h ); + h += hInc; + } + + // display t + { + stringstream ss; + ss << "t: " << t; + drawString( ss.str(), 16, H-h ); + h += hInc; + } + + // display alignment magnitude + { + stringstream ss; + ss << "alignment magnitude: " << alignmentMagnitude; + drawString( ss.str(), 16, H-h ); + h += hInc; + } + + glMatrixMode( GL_PROJECTION ); glPopMatrix(); + glMatrixMode( GL_MODELVIEW ); glPopMatrix(); + + glPopAttrib(); + } + + void Viewer :: mToggleHedgehog( void ) + { + hedgehogViz = !hedgehogViz; + updateDisplayList(); + } + + void Viewer :: drawHedgehog( void ) + { + const int nSamples = 10000; + const double arrowLength = .05; + + glPushAttrib( GL_ALL_ATTRIB_BITS ); + glEnable( GL_BLEND ); + glBlendFunc( GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA ); + glLineWidth( 2. ); + + glBegin( GL_LINES ); + for( int sample = 0; sample < nSamples; sample++ ) + { + FaceCIter f = mesh.sampleUniform(); + Vector p = f->sampleUniform(); + Vector Z = f->sampleField( p, fieldDegree ); + Vector a = f->toWorldCoordinates( p ); + Vector b = a + Z*arrowLength; + + glColor4f( 0., 0., 0., 1. ); glVertex3dv( &a[0] ); + glColor4f( 0., 0., 0., 0. ); glVertex3dv( &b[0] ); + } + glEnd(); + + glPopAttrib(); + } +} + diff --git a/src/commandline.cpp b/src/commandline.cpp index f5e1032..0ceb360 100644 --- a/src/commandline.cpp +++ b/src/commandline.cpp @@ -1,108 +1,120 @@ -#include -#include -using namespace std; - -#include "DenseMatrix.h" -#include "Mesh.h" -using namespace DDG; - -// Command line parsing code courtesy Rohan Sawhney! - -void printUsage(const std::string& programName) -{ - std::cout << "usage: " - << programName << " " - << "OBJ_INPUT_PATH " - << "OBJ_OUTPUT_PATH " - << "[--degree=n] " - << "[--alignToCurvature] " - << "[--alignToBoundary] " - << "[--s=S] " - << "[--t=T]" - << std::endl; -} - -bool doesArgExist(const std::string& arg, const std::string& searchStr) -{ - return arg.find(searchStr) != std::string::npos; -} - -bool parseArg(const std::string& arg, const std::string& searchStr, std::string& value) -{ - if (doesArgExist(arg, searchStr)) { - value = arg.substr(arg.find_first_of(searchStr[searchStr.size()-1]) + 1); - return true; - } - - return false; -} - -void parseArgs(int argc, char *argv[], std::string& inputPath, std::string& outputPath, - int& degree, bool& alignToCurvature, bool& alignToBoundary, double& s, double& t) -{ - if (argc < 3) { - // input and/or output path not specified - printUsage(argv[0]); - exit(EXIT_FAILURE); - - } else { - // parse arguments - inputPath = argv[1]; - outputPath = argv[2]; - std::string degreeStr; - std::string sStr, tStr; - - for (int i = 3; i < argc; i++) { - if (parseArg(argv[i], "--degree=", degreeStr)) degree = std::stoi(degreeStr); - if (doesArgExist(argv[i], "--alignToCurvature")) alignToCurvature = true; - if (doesArgExist(argv[i], "--alignToBoundary")) alignToBoundary = true; - if (parseArg(argv[i], "--s=", sStr)) s = std::atof(sStr.c_str()); - if (parseArg(argv[i], "--t=", tStr)) t = std::atof(tStr.c_str()); - } - } - - // aligning to boundary takes precedence over aligning to curvature - if (alignToBoundary) { - alignToCurvature = false; - } -} - -int main( int argc, char** argv ) -{ - // parse command line options - std::string inputPath = ""; - std::string outputPath = ""; - int degree = 1; - bool alignToCurvature = false; - bool alignToBoundary = false; - double s = 0.; - double t = 0.; - parseArgs( argc, argv, inputPath, outputPath, degree, alignToCurvature, alignToBoundary, s, t ); - - Mesh mesh; - - cout << "Reading mesh from " << inputPath << "..." << endl; - mesh.read( inputPath ); - - cout << "Computing field..." << endl; - mesh.InitKVecDirData(); - mesh.clearSingularities(); - if( alignToCurvature ) - { - mesh.SmoothestCurvatureAlignment( degree, s, t, true ); - } - else if( alignToBoundary ) - { - mesh.ComputeSmoothestFixedBoundary( degree, s, true ); - } - else - { - mesh.ComputeSmoothest( degree, s, true ); - } - - cout << "Writing solution to " << outputPath << "..." << endl; - mesh.write( outputPath, degree ); - - return 0; -} - +#include +#include +using namespace std; + +#include "DenseMatrix.h" +#include "Mesh.h" +using namespace DDG; + +// Command line parsing code courtesy Rohan Sawhney! + +void printUsage(const std::string& programName) +{ + std::cout << "usage: " + << programName << " " + << "OBJ_INPUT_PATH " + << "OBJ_OUTPUT_PATH " + << "[--degree=n] " + << "[--alignToCurvature] " + << "[--alignToBoundary] " + << "[--alignToGivenField] " + << "[--s=S] " + << "[--t=T]" + << "[--alignmentMagnitude=alignmentMagnitude]" + << std::endl; +} + +bool doesArgExist(const std::string& arg, const std::string& searchStr) +{ + return arg.find(searchStr) != std::string::npos; +} + +bool parseArg(const std::string& arg, const std::string& searchStr, std::string& value) +{ + if (doesArgExist(arg, searchStr)) { + value = arg.substr(arg.find_first_of(searchStr[searchStr.size()-1]) + 1); + return true; + } + + return false; +} + +void parseArgs(int argc, char *argv[], std::string& inputPath, std::string& outputPath, + int& degree, bool& alignToCurvature, bool& alignToBoundary, bool& alignToGivenField, + double& s, double& t, double& alignmentMagnitude) +{ + if (argc < 3) { + // input and/or output path not specified + printUsage(argv[0]); + exit(EXIT_FAILURE); + + } else { + // parse arguments + inputPath = argv[1]; + outputPath = argv[2]; + std::string degreeStr; + std::string sStr, tStr, alignmentMagnitudeStr; + + for (int i = 3; i < argc; i++) { + if (parseArg(argv[i], "--degree=", degreeStr)) degree = atoi(degreeStr.c_str()); + if (doesArgExist(argv[i], "--alignToCurvature")) alignToCurvature = true; + if (doesArgExist(argv[i], "--alignToBoundary")) alignToBoundary = true; + if (doesArgExist(argv[i], "--alignToGivenField")) alignToGivenField = true; + if (parseArg(argv[i], "--s=", sStr)) s = std::atof(sStr.c_str()); + if (parseArg(argv[i], "--t=", tStr)) t = std::atof(tStr.c_str()); + if (parseArg(argv[i], "--alignmentMagnitude=", alignmentMagnitudeStr)) + alignmentMagnitude = std::atof(alignmentMagnitudeStr.c_str()); + } + } + + // aligning to boundary takes precedence over aligning to curvature + if (alignToBoundary) { + alignToCurvature = false; + } +} + +int main( int argc, char** argv ) +{ + // parse command line options + std::string inputPath = ""; + std::string outputPath = ""; + int degree = 1; + bool alignToCurvature = false; + bool alignToBoundary = false; + bool alignToGivenField = false; // the parameter to be passed when to turn on given alignment + double s = 0.; + double t = 0.; + double alignmentMagnitude = 1.0; // not being used right now + parseArgs( argc, argv, inputPath, outputPath, degree, alignToCurvature, alignToBoundary, alignToGivenField, s, t, alignmentMagnitude ); + + Mesh mesh; + + cout << "Reading mesh from " << inputPath << "..." << endl; + mesh.read( inputPath ); + + cout << "Computing field..." << endl; + mesh.InitKVecDirData(); + mesh.clearSingularities(); + if( alignToCurvature ) + { + mesh.SmoothestCurvatureAlignment( degree, s, t, true ); + } + else if( alignToGivenField ) + { + mesh.SmoothestGivenVectorAlignment( degree, s, t, alignmentMagnitude, true ); + } + else if( alignToBoundary ) + { + mesh.ComputeSmoothestFixedBoundary( degree, s, true ); + } + else + { + mesh.ComputeSmoothest( degree, s, true ); + } + + cout << "Writing solution to " << outputPath << "..." << endl; + mesh.write( outputPath, degree ); + + return 0; +} + diff --git a/src/main.cpp b/src/main.cpp index 138cae3..706be58 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -1,21 +1,21 @@ -#include -using namespace std; - -#include "Viewer.h" -using namespace DDG; - -int main( int argc, char** argv ) -{ - if( argc != 2 ) - { - cerr << "usage: " << argv[0] << " in.obj" << endl; - return 1; - } - - Viewer viewer; - viewer.mesh.read( argv[1] ); - viewer.init(); - - return 0; -} - +#include +using namespace std; + +#include "Viewer.h" +using namespace DDG; + +int main( int argc, char** argv ) +{ + if( argc != 2 ) + { + cerr << "usage: " << argv[0] << " in.obj" << endl; + return 1; + } + + Viewer viewer; + viewer.mesh.read( argv[1] ); + viewer.init(); + + return 0; +} +