From 40f0ab000ded6a24a9fd69f85396d7eb31ed2fca Mon Sep 17 00:00:00 2001 From: davide baroli Date: Wed, 21 Sep 2016 16:27:51 +0200 Subject: [PATCH 01/42] add dockerfiles --- dockerfiles/base/Dockerfile | 52 ++++++++++++++++++++++++ dockerfiles/base/WELCOME | 3 ++ dockerfiles/base/set-home-permissions.sh | 17 ++++++++ dockerfiles/dev-env-base/.bash_history | 2 + dockerfiles/dev-env-base/Dockerfile | 50 +++++++++++++++++++++++ dockerfiles/dev-env-base/docker-run | 3 ++ 6 files changed, 127 insertions(+) create mode 100644 dockerfiles/base/Dockerfile create mode 100644 dockerfiles/base/WELCOME create mode 100644 dockerfiles/base/set-home-permissions.sh create mode 100644 dockerfiles/dev-env-base/.bash_history create mode 100644 dockerfiles/dev-env-base/Dockerfile create mode 100755 dockerfiles/dev-env-base/docker-run diff --git a/dockerfiles/base/Dockerfile b/dockerfiles/base/Dockerfile new file mode 100644 index 0000000..e4fa1ba --- /dev/null +++ b/dockerfiles/base/Dockerfile @@ -0,0 +1,52 @@ +# Builds a base Docker image that all other pygem project images are +# built off of (FROM). In this image we control the end user +# experience, namely; creating the user PyGeM, setting up the users +# environment and the default entry point and cmds. +# +# Authors: +# Davide Baroli +# +# +FROM phusion/baseimage:0.9.19 + +# Get Ubuntu updates +USER root +RUN apt-get update -q && \ + apt-get upgrade -y -o Dpkg::Options::="--force-confold" && \ + apt-get -y install sudo && \ + apt-get -y install locales && \ + echo "C.UTF-8 UTF-8" > /etc/locale.gen && \ + locale-gen && \ + rm -rf /var/lib/apt/lists/* /tmp/* /var/tmp/* + +# Set locale environment +ENV LC_ALL=C.UTF-8 \ + LANG=C.UTF-8 \ + LANGUAGE=C.UTF-8 + +# OpenBLAS threads should be 1 to ensure performance +RUN echo 1 > /etc/container_environment/OPENBLAS_NUM_THREADS && \ + echo 0 > /etc/container_environment/OPENBLAS_VERBOSE + + +# Set up user so that we do not run as root +RUN useradd -m -s /bin/bash -G sudo,docker_env PyGeM && \ + echo "PyGeM:docker" | chpasswd && \ + echo "PyGeM ALL=(ALL) NOPASSWD: ALL" >> /etc/sudoers + +RUN touch /etc/service/syslog-forwarder/down +COPY set-home-permissions.sh /etc/my_init.d/set-home-permissions.sh +RUN chmod +x /etc/my_init.d/set-home-permissions.sh + +USER PyGeM +ENV HOME /home/PyGeM +RUN touch $HOME/.sudo_as_admin_successful && \ + mkdir $HOME/shared && \ + mkdir $HOME/build +VOLUME /home/PyGeM/shared + + + +WORKDIR /home/PyGeM +ENTRYPOINT ["sudo","/sbin/my_init","--quiet","--","sudo","-u","PyGeM","/bin/bash","-l","-c"] +CMD ["/bin/bash","-i"] diff --git a/dockerfiles/base/WELCOME b/dockerfiles/base/WELCOME new file mode 100644 index 0000000..9434916 --- /dev/null +++ b/dockerfiles/base/WELCOME @@ -0,0 +1,3 @@ +# PyGeM project base image + + diff --git a/dockerfiles/base/set-home-permissions.sh b/dockerfiles/base/set-home-permissions.sh new file mode 100644 index 0000000..7e3c6d8 --- /dev/null +++ b/dockerfiles/base/set-home-permissions.sh @@ -0,0 +1,17 @@ +#!/bin/bash +# User can pass e.g. --env HOST_UID=1003 so that UID in the container matches +# with the UID on the host. This is useful for Linux users, Mac and Windows +# already do transparent mapping of shared volumes. +if [ "$HOST_UID" ]; then + usermod -u $HOST_UID PyGeM +fi +if [ "$HOST_GID" ]; then + groupmod -g $HOST_GID PyGeM +fi +# This makes sure that all files in /home/fenics are accessible by the user +# fenics. We exclude the folder ~/shared to reduce IO out to the host. Docker +# for Mac, Docker for Windows and the UID/GID trick above should mean that file +# permissions work seamlessly now. +cd /home/PyGeM +find . -maxdepth 1 | grep -v "./shared" | xargs chown -R PyGeM:PyGeM + diff --git a/dockerfiles/dev-env-base/.bash_history b/dockerfiles/dev-env-base/.bash_history new file mode 100644 index 0000000..0eee24b --- /dev/null +++ b/dockerfiles/dev-env-base/.bash_history @@ -0,0 +1,2 @@ +ls +exit diff --git a/dockerfiles/dev-env-base/Dockerfile b/dockerfiles/dev-env-base/Dockerfile new file mode 100644 index 0000000..72236e6 --- /dev/null +++ b/dockerfiles/dev-env-base/Dockerfile @@ -0,0 +1,50 @@ +# Author Davide Baroli + +FROM pygem-base:phusion + +# Non-Python utilities and libraries +USER root +RUN apt-get update -y; apt-get install -y --force-yes --fix-missing --no-install-recommends curl git unzip tree subversion vim cmake bison g++ gfortran openmpi-bin pkg-config wget libpcre3-dev bison flex swig libglu1-mesa pyqt4-dev-tools +RUN apt-get clean && \ + rm -rf /var/lib/apt/lists/* /tmp/* /var/tmp/* + +RUN id PyGeM +RUN chown -R PyGeM:PyGeM $HOME + + + + +RUN cd /tmp && \ + wget https://repo.continuum.io/miniconda/Miniconda-latest-Linux-x86_64.sh -O miniconda.sh && \ + chmod +x miniconda.sh && \ + bash miniconda.sh -b -p /usr/local/miniconda +ENV PATH=/usr/local/miniconda/bin:$PATH + +RUN echo "PATH=/usr/local/miniconda/bin:$PATH" >> ~/.profile +RUN /bin/bash -c 'source ~/.profile' + +RUN hash -r && \ + conda config --set always_yes yes --set changeps1 no && \ + conda update -q conda +RUN conda info -a && \ + conda create --yes -n test python="2.7"; + +RUN /bin/bash -c 'source activate test' +RUN conda install --yes numpy scipy matplotlib pip nose vtk + +RUN conda install --yes -c https://conda.anaconda.org/dlr-sc pythonocc-core && \ + pip install setuptools && \ + pip install enum34 && \ + pip install numpy-stl && \ + pip install coveralls && \ + pip install coverage + +RUN cd $HOME && \ + cd build && \ + git clone https://github.com/mathLab/PyGeM.git && \ + cd PyGeM && \ + python setup.py install + +USER PyGeM + + diff --git a/dockerfiles/dev-env-base/docker-run b/dockerfiles/dev-env-base/docker-run new file mode 100755 index 0000000..52837a5 --- /dev/null +++ b/dockerfiles/dev-env-base/docker-run @@ -0,0 +1,3 @@ +#!/bin/bash +#Example of usage: ./docker-run pygem-env-base:phusion +docker run -ti --rm -e DISPLAY=$DISPLAY -v /tmp/.X11-unix:/tmp/.X11-unix $1 From 9908cfda8b76dec52496686a070da22afbab2ba9 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Wed, 21 Sep 2016 21:43:40 +0200 Subject: [PATCH 02/42] remove .bash_history --- dockerfiles/dev-env-base/.bash_history | 2 -- 1 file changed, 2 deletions(-) delete mode 100644 dockerfiles/dev-env-base/.bash_history diff --git a/dockerfiles/dev-env-base/.bash_history b/dockerfiles/dev-env-base/.bash_history deleted file mode 100644 index 0eee24b..0000000 --- a/dockerfiles/dev-env-base/.bash_history +++ /dev/null @@ -1,2 +0,0 @@ -ls -exit From 0e20ae4837e5b3e672c06bb1ff25115d4d07bb48 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Thu, 22 Sep 2016 10:49:44 +0200 Subject: [PATCH 03/42] add testing of dockerfile in travis --- .travis.yml | 18 +++++++++++++++--- dockerfiles/dev-env-base/Dockerfile | 1 - 2 files changed, 15 insertions(+), 4 deletions(-) diff --git a/.travis.yml b/.travis.yml index 55da4db..1d13a26 100644 --- a/.travis.yml +++ b/.travis.yml @@ -1,6 +1,10 @@ +sudo: required language: python +services: + - docker + matrix: include: - os: linux @@ -35,7 +39,13 @@ before_install: - conda update -q conda # Useful for debugging any issues with conda - conda info -a - + # Install with docker + - cd dockerfiles/base + - docker build --tag=pygem-base:phusion . + - cd dockerfiles/dev-env-base + - docker build --tag=pygem-dev-env:phusion . + # See the images + - docker images install: - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then conda create --yes -n test python=$TRAVIS_PYTHON_VERSION; @@ -51,8 +61,10 @@ install: - pip install coveralls - pip install coverage - python setup.py install - -script: coverage run test.py + +script: + - coverage run test.py + - docker run pygem-dev-env:phusion /bin/sh -c "cd /home/PyGeM/build/PyGem; coverage run test.py" after_success: - coveralls diff --git a/dockerfiles/dev-env-base/Dockerfile b/dockerfiles/dev-env-base/Dockerfile index 72236e6..a25be61 100644 --- a/dockerfiles/dev-env-base/Dockerfile +++ b/dockerfiles/dev-env-base/Dockerfile @@ -1,4 +1,3 @@ -# Author Davide Baroli FROM pygem-base:phusion From f3e8fa9bcc1959a6d3d109d281f4086b0627e868 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Thu, 22 Sep 2016 11:07:55 +0200 Subject: [PATCH 04/42] adding docker sudo permission --- .travis.yml | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/.travis.yml b/.travis.yml index 1d13a26..309b3b5 100644 --- a/.travis.yml +++ b/.travis.yml @@ -1,4 +1,4 @@ -sudo: required +sudo: true language: python @@ -41,9 +41,9 @@ before_install: - conda info -a # Install with docker - cd dockerfiles/base - - docker build --tag=pygem-base:phusion . + - docker build -u root --tag=pygem-base:phusion . - cd dockerfiles/dev-env-base - - docker build --tag=pygem-dev-env:phusion . + - docker build -u root --tag=pygem-dev-env:phusion . # See the images - docker images install: From 8474f98d344ff5c0ec1f8d64fc07f5df93336e99 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Thu, 22 Sep 2016 11:14:23 +0200 Subject: [PATCH 05/42] requirement for docker services --- .travis.yml | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/.travis.yml b/.travis.yml index 309b3b5..e8dfbe0 100644 --- a/.travis.yml +++ b/.travis.yml @@ -1,5 +1,6 @@ sudo: true - +#Required for docker build +dist: trusty language: python services: From 81cc562b49df8f664de5ffb03a7591f10eeb453b Mon Sep 17 00:00:00 2001 From: davide baroli Date: Thu, 22 Sep 2016 11:18:18 +0200 Subject: [PATCH 06/42] root permission move to run --- .travis.yml | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/.travis.yml b/.travis.yml index e8dfbe0..492bc85 100644 --- a/.travis.yml +++ b/.travis.yml @@ -42,9 +42,9 @@ before_install: - conda info -a # Install with docker - cd dockerfiles/base - - docker build -u root --tag=pygem-base:phusion . + - docker build --tag=pygem-base:phusion . - cd dockerfiles/dev-env-base - - docker build -u root --tag=pygem-dev-env:phusion . + - docker build --tag=pygem-dev-env:phusion . # See the images - docker images install: @@ -65,7 +65,7 @@ install: script: - coverage run test.py - - docker run pygem-dev-env:phusion /bin/sh -c "cd /home/PyGeM/build/PyGem; coverage run test.py" + - docker run -u root pygem-dev-env:phusion /bin/sh -c "cd /home/PyGeM/build/PyGem; coverage run test.py" after_success: - coveralls From ac3492353b8c8fc8d6d3057d26ff585430ce9c8a Mon Sep 17 00:00:00 2001 From: davide baroli Date: Thu, 22 Sep 2016 11:23:25 +0200 Subject: [PATCH 07/42] small bug --- .travis.yml | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/.travis.yml b/.travis.yml index 492bc85..dd84f05 100644 --- a/.travis.yml +++ b/.travis.yml @@ -43,8 +43,9 @@ before_install: # Install with docker - cd dockerfiles/base - docker build --tag=pygem-base:phusion . - - cd dockerfiles/dev-env-base + - cd ../dev-env-base - docker build --tag=pygem-dev-env:phusion . + - cd $HOME # See the images - docker images install: From ca824973aa2bcaf3fb57b7f7a782c388a252e39c Mon Sep 17 00:00:00 2001 From: davide baroli Date: Thu, 22 Sep 2016 11:45:54 +0200 Subject: [PATCH 08/42] spelling error --- .travis.yml | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/.travis.yml b/.travis.yml index dd84f05..e1b0796 100644 --- a/.travis.yml +++ b/.travis.yml @@ -45,7 +45,7 @@ before_install: - docker build --tag=pygem-base:phusion . - cd ../dev-env-base - docker build --tag=pygem-dev-env:phusion . - - cd $HOME + - cd ../.. # See the images - docker images install: @@ -66,7 +66,7 @@ install: script: - coverage run test.py - - docker run -u root pygem-dev-env:phusion /bin/sh -c "cd /home/PyGeM/build/PyGem; coverage run test.py" + - docker run -u root pygem-dev-env:phusion /bin/sh -c "cd /home/PyGeM/build/PyGeM; coverage run test.py" after_success: - coveralls From a1058845d97c19efa947a5d10a288d29a93511e4 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Thu, 22 Sep 2016 12:09:17 +0200 Subject: [PATCH 09/42] move docker-run for README purpose, pulling from docker.io --- dockerfiles/{dev-env-base => }/docker-run | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) rename dockerfiles/{dev-env-base => }/docker-run (52%) diff --git a/dockerfiles/dev-env-base/docker-run b/dockerfiles/docker-run similarity index 52% rename from dockerfiles/dev-env-base/docker-run rename to dockerfiles/docker-run index 52837a5..98dd158 100755 --- a/dockerfiles/dev-env-base/docker-run +++ b/dockerfiles/docker-run @@ -1,3 +1,2 @@ #!/bin/bash -#Example of usage: ./docker-run pygem-env-base:phusion -docker run -ti --rm -e DISPLAY=$DISPLAY -v /tmp/.X11-unix:/tmp/.X11-unix $1 +docker run -ti --rm -e DISPLAY=$DISPLAY -v /tmp/.X11-unix:/tmp/.X11-unix docker.io/pygemdocker/pygem-dev-env:latest From daf2b360c5d970bf142dc481160c540828f05a94 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Thu, 22 Sep 2016 12:16:23 +0200 Subject: [PATCH 10/42] update travis, docker command in travis work only on linux ( issue #5738 on travis-ci) --- .travis.yml | 23 +++++++++++++---------- 1 file changed, 13 insertions(+), 10 deletions(-) diff --git a/.travis.yml b/.travis.yml index e1b0796..1784906 100644 --- a/.travis.yml +++ b/.travis.yml @@ -40,14 +40,15 @@ before_install: - conda update -q conda # Useful for debugging any issues with conda - conda info -a - # Install with docker - - cd dockerfiles/base - - docker build --tag=pygem-base:phusion . - - cd ../dev-env-base - - docker build --tag=pygem-dev-env:phusion . - - cd ../.. - # See the images - - docker images + # Install with docker only with linux in travis + - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then + cd dockerfiles/base; + docker build --tag=pygem-base:phusion .; + cd ../dev-env-base; + docker build --tag=pygem-dev-env:phusion .; + cd ../..; + fi + install: - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then conda create --yes -n test python=$TRAVIS_PYTHON_VERSION; @@ -66,8 +67,10 @@ install: script: - coverage run test.py - - docker run -u root pygem-dev-env:phusion /bin/sh -c "cd /home/PyGeM/build/PyGeM; coverage run test.py" - + # Docker in travis works only with linux. + - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then + docker run -u root pygem-dev-env:phusion /bin/sh -c "cd /home/PyGeM/build/PyGeM; coverage run test.py"; + fi after_success: - coveralls From 66cfc12359b48381300709843341e591e8565e8e Mon Sep 17 00:00:00 2001 From: davide baroli Date: Thu, 22 Sep 2016 16:28:41 +0200 Subject: [PATCH 11/42] fullfill the request;clean unused file --- dockerfiles/base/Dockerfile | 9 --------- dockerfiles/base/WELCOME | 3 --- 2 files changed, 12 deletions(-) delete mode 100644 dockerfiles/base/WELCOME diff --git a/dockerfiles/base/Dockerfile b/dockerfiles/base/Dockerfile index e4fa1ba..73ccd7e 100644 --- a/dockerfiles/base/Dockerfile +++ b/dockerfiles/base/Dockerfile @@ -1,12 +1,3 @@ -# Builds a base Docker image that all other pygem project images are -# built off of (FROM). In this image we control the end user -# experience, namely; creating the user PyGeM, setting up the users -# environment and the default entry point and cmds. -# -# Authors: -# Davide Baroli -# -# FROM phusion/baseimage:0.9.19 # Get Ubuntu updates diff --git a/dockerfiles/base/WELCOME b/dockerfiles/base/WELCOME deleted file mode 100644 index 9434916..0000000 --- a/dockerfiles/base/WELCOME +++ /dev/null @@ -1,3 +0,0 @@ -# PyGeM project base image - - From 7bf8f8b3f9fc2257e3a0599711b450df050cf7aa Mon Sep 17 00:00:00 2001 From: davide baroli Date: Mon, 10 Oct 2016 15:48:27 +0200 Subject: [PATCH 12/42] make one Dockerfile --- dockerfiles/base/Dockerfile | 43 --------------------- dockerfiles/base/set-home-permissions.sh | 17 -------- dockerfiles/dev-env-base/Dockerfile | 49 ------------------------ 3 files changed, 109 deletions(-) delete mode 100644 dockerfiles/base/Dockerfile delete mode 100644 dockerfiles/base/set-home-permissions.sh delete mode 100644 dockerfiles/dev-env-base/Dockerfile diff --git a/dockerfiles/base/Dockerfile b/dockerfiles/base/Dockerfile deleted file mode 100644 index 73ccd7e..0000000 --- a/dockerfiles/base/Dockerfile +++ /dev/null @@ -1,43 +0,0 @@ -FROM phusion/baseimage:0.9.19 - -# Get Ubuntu updates -USER root -RUN apt-get update -q && \ - apt-get upgrade -y -o Dpkg::Options::="--force-confold" && \ - apt-get -y install sudo && \ - apt-get -y install locales && \ - echo "C.UTF-8 UTF-8" > /etc/locale.gen && \ - locale-gen && \ - rm -rf /var/lib/apt/lists/* /tmp/* /var/tmp/* - -# Set locale environment -ENV LC_ALL=C.UTF-8 \ - LANG=C.UTF-8 \ - LANGUAGE=C.UTF-8 - -# OpenBLAS threads should be 1 to ensure performance -RUN echo 1 > /etc/container_environment/OPENBLAS_NUM_THREADS && \ - echo 0 > /etc/container_environment/OPENBLAS_VERBOSE - - -# Set up user so that we do not run as root -RUN useradd -m -s /bin/bash -G sudo,docker_env PyGeM && \ - echo "PyGeM:docker" | chpasswd && \ - echo "PyGeM ALL=(ALL) NOPASSWD: ALL" >> /etc/sudoers - -RUN touch /etc/service/syslog-forwarder/down -COPY set-home-permissions.sh /etc/my_init.d/set-home-permissions.sh -RUN chmod +x /etc/my_init.d/set-home-permissions.sh - -USER PyGeM -ENV HOME /home/PyGeM -RUN touch $HOME/.sudo_as_admin_successful && \ - mkdir $HOME/shared && \ - mkdir $HOME/build -VOLUME /home/PyGeM/shared - - - -WORKDIR /home/PyGeM -ENTRYPOINT ["sudo","/sbin/my_init","--quiet","--","sudo","-u","PyGeM","/bin/bash","-l","-c"] -CMD ["/bin/bash","-i"] diff --git a/dockerfiles/base/set-home-permissions.sh b/dockerfiles/base/set-home-permissions.sh deleted file mode 100644 index 7e3c6d8..0000000 --- a/dockerfiles/base/set-home-permissions.sh +++ /dev/null @@ -1,17 +0,0 @@ -#!/bin/bash -# User can pass e.g. --env HOST_UID=1003 so that UID in the container matches -# with the UID on the host. This is useful for Linux users, Mac and Windows -# already do transparent mapping of shared volumes. -if [ "$HOST_UID" ]; then - usermod -u $HOST_UID PyGeM -fi -if [ "$HOST_GID" ]; then - groupmod -g $HOST_GID PyGeM -fi -# This makes sure that all files in /home/fenics are accessible by the user -# fenics. We exclude the folder ~/shared to reduce IO out to the host. Docker -# for Mac, Docker for Windows and the UID/GID trick above should mean that file -# permissions work seamlessly now. -cd /home/PyGeM -find . -maxdepth 1 | grep -v "./shared" | xargs chown -R PyGeM:PyGeM - diff --git a/dockerfiles/dev-env-base/Dockerfile b/dockerfiles/dev-env-base/Dockerfile deleted file mode 100644 index a25be61..0000000 --- a/dockerfiles/dev-env-base/Dockerfile +++ /dev/null @@ -1,49 +0,0 @@ - -FROM pygem-base:phusion - -# Non-Python utilities and libraries -USER root -RUN apt-get update -y; apt-get install -y --force-yes --fix-missing --no-install-recommends curl git unzip tree subversion vim cmake bison g++ gfortran openmpi-bin pkg-config wget libpcre3-dev bison flex swig libglu1-mesa pyqt4-dev-tools -RUN apt-get clean && \ - rm -rf /var/lib/apt/lists/* /tmp/* /var/tmp/* - -RUN id PyGeM -RUN chown -R PyGeM:PyGeM $HOME - - - - -RUN cd /tmp && \ - wget https://repo.continuum.io/miniconda/Miniconda-latest-Linux-x86_64.sh -O miniconda.sh && \ - chmod +x miniconda.sh && \ - bash miniconda.sh -b -p /usr/local/miniconda -ENV PATH=/usr/local/miniconda/bin:$PATH - -RUN echo "PATH=/usr/local/miniconda/bin:$PATH" >> ~/.profile -RUN /bin/bash -c 'source ~/.profile' - -RUN hash -r && \ - conda config --set always_yes yes --set changeps1 no && \ - conda update -q conda -RUN conda info -a && \ - conda create --yes -n test python="2.7"; - -RUN /bin/bash -c 'source activate test' -RUN conda install --yes numpy scipy matplotlib pip nose vtk - -RUN conda install --yes -c https://conda.anaconda.org/dlr-sc pythonocc-core && \ - pip install setuptools && \ - pip install enum34 && \ - pip install numpy-stl && \ - pip install coveralls && \ - pip install coverage - -RUN cd $HOME && \ - cd build && \ - git clone https://github.com/mathLab/PyGeM.git && \ - cd PyGeM && \ - python setup.py install - -USER PyGeM - - From d77a6b34aecd97409579f3acbdee838af3416326 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Mon, 10 Oct 2016 15:51:50 +0200 Subject: [PATCH 13/42] pushing the Dockerfile --- dockerfiles/Dockerfile | 86 +++++++++++++++++++++++++++++ dockerfiles/set-home-permissions.sh | 17 ++++++ 2 files changed, 103 insertions(+) create mode 100644 dockerfiles/Dockerfile create mode 100644 dockerfiles/set-home-permissions.sh diff --git a/dockerfiles/Dockerfile b/dockerfiles/Dockerfile new file mode 100644 index 0000000..f67b9c9 --- /dev/null +++ b/dockerfiles/Dockerfile @@ -0,0 +1,86 @@ +FROM phusion/baseimage:0.9.19 + +# Get Ubuntu updates +USER root +RUN apt-get update -q && \ + apt-get upgrade -y -o Dpkg::Options::="--force-confold" && \ + apt-get -y install sudo && \ + apt-get -y install locales && \ + echo "C.UTF-8 UTF-8" > /etc/locale.gen && \ + locale-gen && \ + rm -rf /var/lib/apt/lists/* /tmp/* /var/tmp/* + +# Set locale environment +ENV LC_ALL=C.UTF-8 \ + LANG=C.UTF-8 \ + LANGUAGE=C.UTF-8 + +# OpenBLAS threads should be 1 to ensure performance +RUN echo 1 > /etc/container_environment/OPENBLAS_NUM_THREADS && \ + echo 0 > /etc/container_environment/OPENBLAS_VERBOSE + + +# Set up user so that we do not run as root +RUN useradd -m -s /bin/bash -G sudo,docker_env PyGeM && \ + echo "PyGeM:docker" | chpasswd && \ + echo "PyGeM ALL=(ALL) NOPASSWD: ALL" >> /etc/sudoers + +RUN touch /etc/service/syslog-forwarder/down +COPY set-home-permissions.sh /etc/my_init.d/set-home-permissions.sh +RUN chmod +x /etc/my_init.d/set-home-permissions.sh + +USER PyGeM +ENV HOME /home/PyGeM +RUN touch $HOME/.sudo_as_admin_successful && \ + mkdir $HOME/shared && \ + mkdir $HOME/build +VOLUME /home/PyGeM/shared + +WORKDIR /home/PyGeM +ENTRYPOINT ["sudo","/sbin/my_init","--quiet","--","sudo","-u","PyGeM","/bin/bash","-l","-c"] +CMD ["/bin/bash","-i"] + +# utilities and libraries +USER root +RUN apt-get update -y; apt-get install -y --force-yes --fix-missing --no-install-recommends curl git unzip tree subversion vim cmake bison g++ gfortran openmpi-bin pkg-config wget libpcre3-dev bison flex swig libglu1-mesa pyqt4-dev-tools +RUN apt-get clean && \ + rm -rf /var/lib/apt/lists/* /tmp/* /var/tmp/* + +RUN id PyGeM +RUN chown -R PyGeM:PyGeM $HOME + +RUN cd /tmp && \ + wget https://repo.continuum.io/miniconda/Miniconda-latest-Linux-x86_64.sh -O miniconda.sh && \ + chmod +x miniconda.sh && \ + bash miniconda.sh -b -p /usr/local/miniconda && \ + rm /tmp/* +ENV PATH=/usr/local/miniconda/bin:$PATH + +RUN echo "PATH=/usr/local/miniconda/bin:$PATH" >> ~/.profile +RUN /bin/bash -c 'source ~/.profile' + +RUN hash -r && \ + conda config --set always_yes yes --set changeps1 no && \ + conda update -q conda +RUN conda info -a && \ + conda create --yes -n test python="2.7"; + +RUN /bin/bash -c 'source activate test' +# The default sip version has api that is not compatible with qt4. +RUN conda install --yes numpy scipy matplotlib pip nose vtk sip=4.18 +RUN conda install --yes -c https://conda.anaconda.org/dlr-sc pythonocc-core &&\ + pip install setuptools && \ + pip install enum34 && \ + pip install numpy-stl && \ + pip install coveralls && \ + pip install coverage + +RUN cd $HOME && \ + cd build && \ + git clone https://github.com/mathLab/PyGeM.git && \ + cd PyGeM && \ + python setup.py install + +USER PyGeM + + diff --git a/dockerfiles/set-home-permissions.sh b/dockerfiles/set-home-permissions.sh new file mode 100644 index 0000000..7e3c6d8 --- /dev/null +++ b/dockerfiles/set-home-permissions.sh @@ -0,0 +1,17 @@ +#!/bin/bash +# User can pass e.g. --env HOST_UID=1003 so that UID in the container matches +# with the UID on the host. This is useful for Linux users, Mac and Windows +# already do transparent mapping of shared volumes. +if [ "$HOST_UID" ]; then + usermod -u $HOST_UID PyGeM +fi +if [ "$HOST_GID" ]; then + groupmod -g $HOST_GID PyGeM +fi +# This makes sure that all files in /home/fenics are accessible by the user +# fenics. We exclude the folder ~/shared to reduce IO out to the host. Docker +# for Mac, Docker for Windows and the UID/GID trick above should mean that file +# permissions work seamlessly now. +cd /home/PyGeM +find . -maxdepth 1 | grep -v "./shared" | xargs chown -R PyGeM:PyGeM + From 0b570ef03216039b1e947cffcbefb9344e43ce44 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Mon, 10 Oct 2016 15:59:05 +0200 Subject: [PATCH 14/42] update travis.yml pulling from dockerhub autobuild-deployment; add version of sip since the default version selected by conda has incompatible api with qt4 --- .travis.yml | 12 ++---------- 1 file changed, 2 insertions(+), 10 deletions(-) diff --git a/.travis.yml b/.travis.yml index 1784906..e9c326c 100644 --- a/.travis.yml +++ b/.travis.yml @@ -40,14 +40,6 @@ before_install: - conda update -q conda # Useful for debugging any issues with conda - conda info -a - # Install with docker only with linux in travis - - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then - cd dockerfiles/base; - docker build --tag=pygem-base:phusion .; - cd ../dev-env-base; - docker build --tag=pygem-dev-env:phusion .; - cd ../..; - fi install: - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then @@ -56,7 +48,7 @@ install: conda create --yes -n test python="2.7"; fi - source activate test - - conda install --yes numpy scipy matplotlib pip nose vtk + - conda install --yes numpy scipy matplotlib pip nose vtk sip=4.18 - conda install --yes -c https://conda.anaconda.org/dlr-sc pythonocc-core - pip install setuptools - pip install enum34 @@ -69,7 +61,7 @@ script: - coverage run test.py # Docker in travis works only with linux. - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then - docker run -u root pygem-dev-env:phusion /bin/sh -c "cd /home/PyGeM/build/PyGeM; coverage run test.py"; + docker run -u root docker.io/pygemdocker/pygem /bin/sh -c "cd /home/PyGeM/build/PyGeM; coverage run test.py"; fi after_success: - coveralls From 4d58be15af9eee8c99e0ec1d2d3734cadf9c2d83 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Mon, 10 Oct 2016 18:06:58 +0200 Subject: [PATCH 15/42] specify the tag --- .travis.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.travis.yml b/.travis.yml index e9c326c..025335e 100644 --- a/.travis.yml +++ b/.travis.yml @@ -61,7 +61,7 @@ script: - coverage run test.py # Docker in travis works only with linux. - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then - docker run -u root docker.io/pygemdocker/pygem /bin/sh -c "cd /home/PyGeM/build/PyGeM; coverage run test.py"; + docker run -u root docker.io/pygemdocker/pygem:latest /bin/sh -c "cd /home/PyGeM/build/PyGeM; coverage run test.py"; fi after_success: - coveralls From 5db4213794d09bbd9dadba131c644487d49bbf10 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Tue, 11 Oct 2016 11:32:49 +0200 Subject: [PATCH 16/42] update README.md --- README.md | 27 +++++++++++++++++++++++++++ dockerfiles/docker-run | 2 -- 2 files changed, 27 insertions(+), 2 deletions(-) delete mode 100755 dockerfiles/docker-run diff --git a/README.md b/README.md index b72006a..1df1267 100644 --- a/README.md +++ b/README.md @@ -58,6 +58,33 @@ To uninstall the package you have to rerun the installation and record the insta > cat installed_files.txt | xargs rm -rf ``` +Alternatively, a way to run the PyGeM library is to use our prebuilt and high-performance Docker images. +Docker containers are extremely lightweight, secure, and are based on open standards that run on all major Linux distributions, macOS and Microsoft Windows platforms. + +Install Docker for your platform by following [these instructions](https://docs.docker.com/engine/getstarted/step_one/). +If using the Docker Toolbox (macOS versions < 10.10 or Windows versions < 10), make sure you run all commands inside the Docker Quickstart Terminal. + +Now we will pull the docker.io/pygemdocker/pygem image from our cloud infrastructure: +```bash +> docker pull docker.io/pygemdocker/pygem:latest +``` +Docker will pull the latest tag of the image pygemdocker/pygem from docker.io. The download is around 1.3GB. The image is a great place to start experimenting with PyGeM and includes all dependencies already compiled for you. +Once the download is complete you can start PyGeM for the first time. Just run: +```bash +> docker run -ti docker.io/pygemdocker/pygem:latest +``` +To facilitate the devoloping, using the text editor,version control and other tools already installed on your computers, +it is possible to share files from the host into the container: + +```bash +> docker run -ti -v $(pwd):/home/PyGeM/shared docker.io/pygemdocker/pygem:latest +``` +To allow the X11 forwarding in the container, on Linux system just run: + +```bash +> docker run -ti --rm -e DISPLAY=$DISPLAY -v /tmp/.X11-unix:/tmp/.X11-unix -v $(pwd):/home/PyGeM/shared docker.io/pygemdocker/pygem:latest +``` + ## Documentation **PyGeM** uses [Sphinx](http://www.sphinx-doc.org/en/stable/) for code documentation. To build the html versions of the docs simply: diff --git a/dockerfiles/docker-run b/dockerfiles/docker-run deleted file mode 100755 index 98dd158..0000000 --- a/dockerfiles/docker-run +++ /dev/null @@ -1,2 +0,0 @@ -#!/bin/bash -docker run -ti --rm -e DISPLAY=$DISPLAY -v /tmp/.X11-unix:/tmp/.X11-unix docker.io/pygemdocker/pygem-dev-env:latest From 3b01a91d93003707c93718ae9d5dcb66339001a0 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Tue, 11 Oct 2016 11:39:29 +0200 Subject: [PATCH 17/42] minor fix doc --- README.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index 1df1267..04598ce 100644 --- a/README.md +++ b/README.md @@ -71,18 +71,18 @@ Now we will pull the docker.io/pygemdocker/pygem image from our cloud infrastruc Docker will pull the latest tag of the image pygemdocker/pygem from docker.io. The download is around 1.3GB. The image is a great place to start experimenting with PyGeM and includes all dependencies already compiled for you. Once the download is complete you can start PyGeM for the first time. Just run: ```bash -> docker run -ti docker.io/pygemdocker/pygem:latest +> docker run -ti pygemdocker/pygem:latest ``` To facilitate the devoloping, using the text editor,version control and other tools already installed on your computers, it is possible to share files from the host into the container: ```bash -> docker run -ti -v $(pwd):/home/PyGeM/shared docker.io/pygemdocker/pygem:latest +> docker run -ti -v $(pwd):/home/PyGeM/shared pygemdocker/pygem:latest ``` To allow the X11 forwarding in the container, on Linux system just run: ```bash -> docker run -ti --rm -e DISPLAY=$DISPLAY -v /tmp/.X11-unix:/tmp/.X11-unix -v $(pwd):/home/PyGeM/shared docker.io/pygemdocker/pygem:latest +> docker run -ti --rm -e DISPLAY=$DISPLAY -v /tmp/.X11-unix:/tmp/.X11-unix -v $(pwd):/home/PyGeM/shared pygemdocker/pygem:latest ``` From 5a761f5ddcf83aab94a4fe117fff23b98816e0c4 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Tue, 11 Oct 2016 11:40:53 +0200 Subject: [PATCH 18/42] correct the dimension of container --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 04598ce..cd47210 100644 --- a/README.md +++ b/README.md @@ -68,7 +68,7 @@ Now we will pull the docker.io/pygemdocker/pygem image from our cloud infrastruc ```bash > docker pull docker.io/pygemdocker/pygem:latest ``` -Docker will pull the latest tag of the image pygemdocker/pygem from docker.io. The download is around 1.3GB. The image is a great place to start experimenting with PyGeM and includes all dependencies already compiled for you. +Docker will pull the latest tag of the image pygemdocker/pygem from docker.io. The download is around 3.246 GB. The image is a great place to start experimenting with PyGeM and includes all dependencies already compiled for you. Once the download is complete you can start PyGeM for the first time. Just run: ```bash > docker run -ti pygemdocker/pygem:latest From 21be7096296339bb82fde8b12ed8b22704194023 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Tue, 11 Oct 2016 11:48:12 +0200 Subject: [PATCH 19/42] add info to use X11 in Win and Mac --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index cd47210..8552cef 100644 --- a/README.md +++ b/README.md @@ -85,6 +85,7 @@ To allow the X11 forwarding in the container, on Linux system just run: > docker run -ti --rm -e DISPLAY=$DISPLAY -v /tmp/.X11-unix:/tmp/.X11-unix -v $(pwd):/home/PyGeM/shared pygemdocker/pygem:latest ``` +For Windows system, you need to install Cygwin/X version and running the command in Cygwin terminal. While for mac system, you need to install xquartz. ## Documentation **PyGeM** uses [Sphinx](http://www.sphinx-doc.org/en/stable/) for code documentation. To build the html versions of the docs simply: From 6640a2923f9e9ba955a74cb26c1d4cce34051a54 Mon Sep 17 00:00:00 2001 From: Marco Tezzele Date: Wed, 20 Jul 2016 11:30:25 +0200 Subject: [PATCH 20/42] write method in the RBFParameters class and tests --- pygem/params.py | 56 ++++++++++++++++- .../parameters_rbf_bugged_01.prm | 1 + .../parameters_rbf_bugged_02.prm | 1 + tests/test_datasets/parameters_rbf_cube.prm | 37 ++++++++++++ .../parameters_rbf_cube_out_true.prm | 37 ++++++++++++ .../test_datasets/parameters_rbf_default.prm | 1 + tests/test_rbfparams.py | 60 ++++++++++++++++++- 7 files changed, 189 insertions(+), 4 deletions(-) create mode 100644 tests/test_datasets/parameters_rbf_cube.prm create mode 100644 tests/test_datasets/parameters_rbf_cube_out_true.prm diff --git a/pygem/params.py b/pygem/params.py index d06f908..f237de2 100644 --- a/pygem/params.py +++ b/pygem/params.py @@ -324,11 +324,11 @@ def __init__(self): self.deformed_control_points = None - def read_parameters(self, filename='parameters.prm'): + def read_parameters(self, filename='parameters_rbf.prm'): """ Reads in the parameters file and fill the self structure. - :param string filename: parameters file to be read in. + :param string filename: parameters file to be read in. Default value is parameters_rbf.prm. """ if not isinstance(filename, basestring): raise TypeError('filename must be a string') @@ -344,7 +344,7 @@ def read_parameters(self, filename='parameters.prm'): 0., 1., 1., 1., 0., 1., 1., 1., 0., 1., 1., 1.]).reshape((8, 3)) self.deformed_control_points = np.array([0., 0., 0., 0., 0., 1., 0., 1., 0., 1., 0., 0., \ 0., 1., 1., 1., 0., 1., 1., 1., 0., 1., 1., 1.]).reshape((8, 3)) - #self.write_parameters(filename) + self.write_parameters(filename) return config = ConfigParser.RawConfigParser() @@ -374,6 +374,56 @@ def read_parameters(self, filename='parameters.prm'): self.deformed_control_points[i] = np.array([float(values[0]), float(values[1]), float(values[2])]) + def write_parameters(self, filename='parameters_rbf.prm'): + """ + This method writes a parameters file (.prm) called `filename` and fills it with all + the parameters class members. Default value is parameters_rbf.prm. + + :param string filename: parameters file to be written out. + """ + if not isinstance(filename, basestring): + raise TypeError("filename must be a string") + + with open(filename, 'w') as output_file: + output_file.write('\n[Radial Basis Functions]\n') + output_file.write('# This section describes the radial basis functions shape.\n') + + output_file.write('\n# basis funtion is the name of the basis functions to use in the transformation. ' + \ + 'The functions\n') + output_file.write('# implemented so far are: gaussian_spline, multi_quadratic_biharmonic_spline,\n') + output_file.write('# inv_multi_quadratic_biharmonic_spline, thin_plate_spline, beckert_wendland_c2_basis.\n') + output_file.write('# For a comprehensive list with details see the class RBF.\n') + output_file.write('basis function: ' + str(self.basis) + '\n') + + output_file.write('\n# radius is the scaling parameter r that affects the shape of the basis functions. ' + \ + 'See the documentation\n') + output_file.write('# of the class RBF for details.\n') + output_file.write('radius: ' + str(self.radius) + '\n') + + output_file.write('\n\n[Control points]\n') + output_file.write('# This section describes the RBF control points.\n') + + output_file.write('\n# original control points collects the coordinates of the interpolation ' + \ + 'control points before the deformation.\n') + output_file.write('original control points:') + offset = 1 + for i in range(0, self.n_control_points): + output_file.write(offset * ' ' + str(self.original_control_points[i][0]) + ' ' + \ + str(self.original_control_points[i][1]) + ' ' + \ + str(self.original_control_points[i][2]) + '\n') + offset = 25 + + output_file.write('\n# deformed control points collects the coordinates of the interpolation ' + \ + 'control points after the deformation.\n') + output_file.write('deformed control points:') + offset = 1 + for i in range(0, self.n_control_points): + output_file.write(offset * ' ' + str(self.deformed_control_points[i][0]) + ' ' + \ + str(self.deformed_control_points[i][1]) + ' ' + \ + str(self.deformed_control_points[i][2]) + '\n') + offset = 25 + + def print_info(self): """ This method prints all the RBF parameters on the screen. Its purpose is for debugging. diff --git a/tests/test_datasets/parameters_rbf_bugged_01.prm b/tests/test_datasets/parameters_rbf_bugged_01.prm index 2630849..f4a3f92 100644 --- a/tests/test_datasets/parameters_rbf_bugged_01.prm +++ b/tests/test_datasets/parameters_rbf_bugged_01.prm @@ -12,6 +12,7 @@ basis function: gaussian_spline # of the class RBF for details. radius: 0.5 + [Control points] # This section describes the RBF control points. diff --git a/tests/test_datasets/parameters_rbf_bugged_02.prm b/tests/test_datasets/parameters_rbf_bugged_02.prm index 906bd23..fa20407 100644 --- a/tests/test_datasets/parameters_rbf_bugged_02.prm +++ b/tests/test_datasets/parameters_rbf_bugged_02.prm @@ -12,6 +12,7 @@ basis function: gaussian_splines # of the class RBF for details. radius: 0.5 + [Control points] # This section describes the RBF control points. diff --git a/tests/test_datasets/parameters_rbf_cube.prm b/tests/test_datasets/parameters_rbf_cube.prm new file mode 100644 index 0000000..9dc0be1 --- /dev/null +++ b/tests/test_datasets/parameters_rbf_cube.prm @@ -0,0 +1,37 @@ + +[Radial Basis Functions] +# This section describes the radial basis functions shape. + +# basis funtion is the name of the basis functions to use in the transformation. The functions +# implemented so far are: gaussian_spline, multi_quadratic_biharmonic_spline, +# inv_multi_quadratic_biharmonic_spline, thin_plate_spline, beckert_wendland_c2_basis. +# For a comprehensive list with details see the class RBF. +basis function: gaussian_spline + +# radius is the scaling parameter r that affects the shape of the basis functions. See the documentation +# of the class RBF for details. +radius: 0.5 + + +[Control points] +# This section describes the RBF control points. + +# original control points collects the coordinates of the interpolation control points before the deformation. +original control points: -.1 0.0 0.0 + 0.0 0.0 1.0 + 0.0 1.0 0.0 + 1.0 0.0 0.0 + 0.0 1 1.0 + 1.0 0.0 1.0 + 1.0 1.0 0 + 1.0 1.0 1.0 + +# deformed control points collects the coordinates of the interpolation control points after the deformation. +deformed control points: 0.1 0.2 .3 + 0.0 0.0 1.0 + 0.0 1.0 0.0 + 1.0 0.0 0.0 + 0.0 .8 1.0 + 1.0 0.0 1.0 + 1.0 1.0 0.0 + 1.2 1.2 1.2 diff --git a/tests/test_datasets/parameters_rbf_cube_out_true.prm b/tests/test_datasets/parameters_rbf_cube_out_true.prm new file mode 100644 index 0000000..98dc051 --- /dev/null +++ b/tests/test_datasets/parameters_rbf_cube_out_true.prm @@ -0,0 +1,37 @@ + +[Radial Basis Functions] +# This section describes the radial basis functions shape. + +# basis funtion is the name of the basis functions to use in the transformation. The functions +# implemented so far are: gaussian_spline, multi_quadratic_biharmonic_spline, +# inv_multi_quadratic_biharmonic_spline, thin_plate_spline, beckert_wendland_c2_basis. +# For a comprehensive list with details see the class RBF. +basis function: gaussian_spline + +# radius is the scaling parameter r that affects the shape of the basis functions. See the documentation +# of the class RBF for details. +radius: 0.5 + + +[Control points] +# This section describes the RBF control points. + +# original control points collects the coordinates of the interpolation control points before the deformation. +original control points: -0.1 0.0 0.0 + 0.0 0.0 1.0 + 0.0 1.0 0.0 + 1.0 0.0 0.0 + 0.0 1.0 1.0 + 1.0 0.0 1.0 + 1.0 1.0 0.0 + 1.0 1.0 1.0 + +# deformed control points collects the coordinates of the interpolation control points after the deformation. +deformed control points: 0.1 0.2 0.3 + 0.0 0.0 1.0 + 0.0 1.0 0.0 + 1.0 0.0 0.0 + 0.0 0.8 1.0 + 1.0 0.0 1.0 + 1.0 1.0 0.0 + 1.2 1.2 1.2 diff --git a/tests/test_datasets/parameters_rbf_default.prm b/tests/test_datasets/parameters_rbf_default.prm index 4eabf5c..44399f0 100644 --- a/tests/test_datasets/parameters_rbf_default.prm +++ b/tests/test_datasets/parameters_rbf_default.prm @@ -12,6 +12,7 @@ basis function: gaussian_spline # of the class RBF for details. radius: 0.5 + [Control points] # This section describes the RBF control points. diff --git a/tests/test_rbfparams.py b/tests/test_rbfparams.py index aedb14e..47905e4 100644 --- a/tests/test_rbfparams.py +++ b/tests/test_rbfparams.py @@ -7,7 +7,7 @@ import os -class TestFFDParameters(TestCase): +class TestRBFParameters(TestCase): def test_class_members_default_basis(self): @@ -81,6 +81,64 @@ def test_read_parameters_failing_number_deformed_control_points(self): params.read_parameters('tests/test_datasets/parameters_rbf_bugged_01.prm') + def test_read_parameters_filename_default(self): + params = rbfp.RBFParameters() + params.read_parameters() + outfilename = 'parameters_rbf.prm' + outfilename_expected = 'tests/test_datasets/parameters_rbf_default.prm' + + self.assertTrue(filecmp.cmp(outfilename, outfilename_expected)) + os.remove(outfilename) + + + def test_write_parameters_failing_filename_type(self): + params = rbfp.RBFParameters() + with self.assertRaises(TypeError): + params.write_parameters(5) + + + def test_write_parameters_filename_default_existance(self): + params = rbfp.RBFParameters() + params.basis = 'inv_multi_quadratic_biharmonic_spline' + params.radius = 0.1 + params.n_control_points = 3 + params.original_control_points = np.array([0., 0., 0., 0., 0., 1., 0., 1., 0.]).reshape((3, 3)) + params.deformed_control_points = np.array([0., 0., 0., 0., 0., 1., 0., 1., 0.]).reshape((3, 3)) + params.write_parameters() + outfilename = 'parameters_rbf.prm' + assert os.path.isfile(outfilename) + os.remove(outfilename) + + + def test_write_parameters_filename_default(self): + params = rbfp.RBFParameters() + params.basis = 'gaussian_spline' + params.radius = 0.5 + params.n_control_points = 8 + params.original_control_points = np.array([0., 0., 0., 0., 0., 1., 0., 1., 0., 1., 0., 0., \ + 0., 1., 1., 1., 0., 1., 1., 1., 0., 1., 1., 1.]).reshape((8, 3)) + params.deformed_control_points = np.array([0., 0., 0., 0., 0., 1., 0., 1., 0., 1., 0., 0., \ + 0., 1., 1., 1., 0., 1., 1., 1., 0., 1., 1., 1.]).reshape((8, 3)) + params.write_parameters() + outfilename = 'parameters_rbf.prm' + outfilename_expected = 'tests/test_datasets/parameters_rbf_default.prm' + + self.assertTrue(filecmp.cmp(outfilename, outfilename_expected)) + os.remove(outfilename) + + + def test_write_parameters(self): + params = rbfp.RBFParameters() + params.read_parameters('tests/test_datasets/parameters_rbf_cube.prm') + + outfilename = 'tests/test_datasets/parameters_rbf_cube_out.prm' + outfilename_expected = 'tests/test_datasets/parameters_rbf_cube_out_true.prm' + params.write_parameters(outfilename) + + self.assertTrue(filecmp.cmp(outfilename, outfilename_expected)) + os.remove(outfilename) + + def test_print_info(self): params = rbfp.RBFParameters() params.print_info() From 845fa1bd6aa9a22f2c8217a16f2c248937d7ceed Mon Sep 17 00:00:00 2001 From: fsalmoir Date: Wed, 20 Jul 2016 15:27:21 +0200 Subject: [PATCH 21/42] readme updated with rbf and gui --- README.md | 11 ++++++++++- readme/gui_PyGeM.png | Bin 0 -> 28494 bytes 2 files changed, 10 insertions(+), 1 deletion(-) create mode 100644 readme/gui_PyGeM.png diff --git a/README.md b/README.md index 0a65f58..ef26820 100644 --- a/README.md +++ b/README.md @@ -3,8 +3,9 @@ Python Geometrical Morphing. ![Python Geometrical Morphing](readme/logo_PyGeM_small.png) + ## Description -**PyGeM** is a python library using **Free Form Deformation** to parametrize and morph complex geometries. It is ideally suited for actual industrial problems, since it allows to handle: +**PyGeM** is a python library using **Free Form Deformation** and **Radial Basis Functions** to parametrize and morph complex geometries. It is ideally suited for actual industrial problems, since it allows to handle: - Computer Aided Design files (in .iges and .stl formats) - Mesh files (in .unv and OpenFOAM formats) @@ -14,6 +15,14 @@ By now, it has been used with meshes with up to 14 milions of cells. Try with mo See the **Examples** section below to have an idea of the potential of this package. +## Graphic Unit Interface +**PyGeM** is now provided with a very basic Graphic Unit Interface (GUI) that, in Ubuntu environment, looks like the one depicted below. This feature can be easily used even by the pythonists beginners with not much effort. + +![PyGeM gui](readme/gui_PyGeM.png) + +Up to now, PyGeM GUI works on linux and Mac OS X computers. + + ## Dependencies and installation **PyGeM** requires `numpy`, `numpy-stl`, `scipy` and `matplotlib`. They can be easily installed via `pip`. Moreover **PyGeM** depends on `OCC` >= 0.16 and `vtk`. 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will be skipped: # tests added for gui init # The 3rd commit message will be skipped: # test for the main part of gui code # The 4th commit message will be skipped: # test for the main part of gui code * trying to solve conflicts * removed pillow from packages * removed pillow from travis installation --- .travis.yml | 1 - README.md | 13 ++++++ pygem/gui.py | 87 +++++++++++++++----------------------- readme/logo_PyGeM_gui.gif | Bin 0 -> 1668 bytes start_gui.py | 7 +++ tests/test_gui.py | 82 +++++++++++++++++++++++++++++++++++ tests/test_utils.py | 2 +- 7 files changed, 136 insertions(+), 56 deletions(-) create mode 100644 readme/logo_PyGeM_gui.gif create mode 100644 start_gui.py create mode 100644 tests/test_gui.py diff --git a/.travis.yml b/.travis.yml index 6164e05..55da4db 100644 --- a/.travis.yml +++ b/.travis.yml @@ -50,7 +50,6 @@ install: - pip install numpy-stl - pip install coveralls - pip install coverage - - pip install Pillow - python setup.py install script: coverage run test.py diff --git a/README.md b/README.md index ef26820..595f8a5 100644 --- a/README.md +++ b/README.md @@ -65,6 +65,19 @@ To uninstall the package you have to rerun the installation and record the insta The generated html can be found in `docs/build/html`. Open up the `index.html` you find there to browse. +## Gui +**PyGeM** comes with a very basic Graphic Unit Interface. + +Pick the geometry, the parameters file, set the name of the output and decide whether dump the FFD lattice or not. +Now just click on the `Run PyGeM` button and that is it. + +

+ +

+

+PyGeM GUI: how it appears when it pops up. +

+ ## Testing We are using Travis CI for continuous intergration testing. You can check out the current status [here](https://travis-ci.org/mathLab/PyGeM). diff --git a/pygem/gui.py b/pygem/gui.py index 6bff6b0..d293dc5 100644 --- a/pygem/gui.py +++ b/pygem/gui.py @@ -7,7 +7,6 @@ import Tkinter from tkFileDialog import askopenfilename -from PIL import ImageTk, Image import pygem as pg import sys import os @@ -54,6 +53,9 @@ def __init__(self): self.label_params = None self.url = 'https://github.com/mathLab/PyGeM' + self.canvas = None + self.img = None + def _chose_geometry(self): @@ -121,83 +123,60 @@ def _goto_website(self): webbrowser.open(self.url) - def start(self): + def main(self): """ The method inizializes and visualizes the window. """ - - image = Image.open('readme/logo_PyGeM_small.png') - image = image.resize((50, 50), Image.ANTIALIAS) - img = ImageTk.PhotoImage(image) - panel = Label(self.root, image = img) - panel.pack(side = "bottom", padx = 5, pady = 5,anchor=SE) - - geo_frame = Frame(self.root) - geo_frame.pack(anchor=W) + + self.logo_panel = Tkinter.Canvas(self.root, height=60 , width=60) + self.logo_panel.pack(side = "bottom", padx = 5, pady = 5,anchor=Tkinter.SE) + self.img = Tkinter.PhotoImage(master=self.logo_panel, file='readme/logo_PyGeM_gui.gif') + self.logo_panel.create_image(35,35, image=self.img) + + code_frame = Tkinter.Frame(self.root) + code_frame.pack() # Buttons 1 - button_1 = Tkinter.Button(geo_frame, text ="Pick the geometry", command = self._chose_geometry) - button_1.pack(side=LEFT, padx = 5, pady = 5) - self.label_geo=Label(geo_frame, textvariable=self.print_geometry_path, fg='red') + Tkinter.Button(code_frame, text ="Pick the geometry", command = self._chose_geometry).grid(row=0, column=0, padx=3, pady=3) + self.label_geo=Tkinter.Label(code_frame, textvariable=self.print_geometry_path, fg='red') self.print_geometry_path.set("No geometry chosen!") - self.label_geo.pack(side=LEFT, padx = 5, pady = 5) + self.label_geo.grid(row=0, column=1, padx=3, pady=3) - # Button 2 - params_frame = Frame(self.root) - params_frame.pack(anchor=W) - - button_2 = Tkinter.Button(params_frame, text ="Pick the parameters", command = self._chose_parameters) - button_2.pack(side=LEFT, padx = 5, pady = 5) - self.label_params = Label( params_frame, textvariable=self.print_parameter_path, fg='red') + # Button 2 + Tkinter.Button(code_frame, text ="Pick the parameters", command = self._chose_parameters).grid(row=1, column=0, padx=3, pady=3) + self.label_params = Tkinter.Label(code_frame, textvariable=self.print_parameter_path, fg='red') self.print_parameter_path.set("No parameters file chosen!") - self.label_params.pack(side=LEFT, padx = 5, pady = 5) + self.label_params.grid(row=1, column=1, padx=3, pady=3) # Entry - entryframe = Frame(self.root) - entryframe.pack(padx = 5, pady = 5, anchor=W) - - label_geo_out = Label(entryframe, text="Output geometry file") - label_geo_out.pack( side = LEFT) - entry_geo_out = Entry(entryframe, bd =5, textvariable=self.outfilename) - entry_geo_out.pack(side = LEFT) + Tkinter.Label(code_frame, text="Output geometry file").grid(row=2, column=0, padx=3, pady=3) + Tkinter.Entry(code_frame, bd =5, textvariable=self.outfilename).grid(row=2, column=1, padx=3, pady=3) # Checkboxes - checkframe_orig = Frame(self.root) - checkframe_orig.pack(anchor=W) - - check_lattice_orig = Checkbutton(checkframe_orig, text = "Dump Original FFD lattice", variable = self.check_var_1, \ + Tkinter.Checkbutton(code_frame, text = "Dump Original FFD lattice", variable = self.check_var_1, \ onvalue = 1, offvalue = 0, height=3, \ - width = 20) + width = 20).grid(row=3, column=0) + Tkinter.Entry(code_frame, bd =5, textvariable=self.outfilename_lattice_orig).grid(row=3, column=1) - check_lattice_orig.pack(side=LEFT) - - entry_lattice_orig = Entry(checkframe_orig, bd =5, textvariable=self.outfilename_lattice_orig) - entry_lattice_orig.pack(side = LEFT) - - checkframe_mod = Frame(self.root) - checkframe_mod.pack(anchor=W) - - check_lattice_mod = Checkbutton(checkframe_mod, text = "Dump Morphed FFD lattice", variable = self.check_var_2, \ + Tkinter.Checkbutton(code_frame, text = "Dump Morphed FFD lattice", variable = self.check_var_2, \ onvalue = 1, offvalue = 0, height=3, \ - width = 20) - - check_lattice_mod.pack(side=LEFT) - - entry_lattice_mod = Entry(checkframe_mod, bd =5, textvariable=self.outfilename_lattice_mod) - entry_lattice_mod.pack(side = LEFT) + width = 20).grid(row=4, column=0) + Tkinter.Entry(code_frame, bd =5, textvariable=self.outfilename_lattice_mod).grid(row=4, column=1) # Run button - button_run = Tkinter.Button(self.root, text ="Run PyGeM", command = self._run_simulation, bg='#065893', fg='#f19625', font='bold') - button_run.pack() + Tkinter.Button(code_frame, text ="Run PyGeM", command = self._run_simulation, bg='#065893', fg='#f19625', font='bold').grid(row=5, column=0, padx=3, pady=3) # Menu - menubar = Menu(self.root) + menubar = Tkinter.Menu(self.root) - helpmenu = Menu(menubar, tearoff=0) + helpmenu = Tkinter.Menu(menubar, tearoff=0) helpmenu.add_command(label="About...", command=self._goto_website) menubar.add_cascade(label="Help", menu=helpmenu) self.root.config(menu=menubar) + + def start(self): + self.root.mainloop() diff --git a/readme/logo_PyGeM_gui.gif b/readme/logo_PyGeM_gui.gif new file mode 100644 index 0000000000000000000000000000000000000000..a20bca94e4a7af28d9b9007d80e691116a5eac0a GIT binary patch literal 1668 zcmV-~27CEONk%w1VKM+R0O$VzCoN?oGH4_+X(cmi9X4wxHfJ_DVgyEiJv(0)M1BTS ziyBXf2~>;#SCs%*mH=6o09ug`R*nx>iV;?i09%s)T#W!+loVHy0$r9AS&SA~k_BFu z7FvxMS(6rAi5gmz2w#{OU5X4~nHOJ%8eWSJVVW6WhY@0%CSHanV1X24oF`#}7G#|$ zVuUeaei>z-C}e;#Vt*NDnmJ;69A}_0WqTZHoHJ&99%`LAW_UVhc_3?^J7{`AXmulP 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assert gui_handler.filename_geometry.get() == '' + + + def test_gui_init_string_3(self): + gui_handler = gui.Gui() + assert gui_handler.filename_parameters.get() == '' + + + def test_gui_init_string_4(self): + gui_handler = gui.Gui() + assert gui_handler.outfilename.get() == '' + + + def test_gui_init_string_5(self): + gui_handler = gui.Gui() + assert gui_handler.outfilename_lattice_orig.get() == '' + + + def test_gui_init_string_6(self): + gui_handler = gui.Gui() + assert gui_handler.outfilename_lattice_mod.get() == '' + + + def test_gui_init_string_7(self): + gui_handler = gui.Gui() + assert gui_handler.print_geometry_path.get() == '' + + + def test_gui_init_string_8(self): + gui_handler = gui.Gui() + assert gui_handler.print_parameter_path.get() == '' + + + def test_gui_init_string_9(self): + gui_handler = gui.Gui() + assert gui_handler.url == 'https://github.com/mathLab/PyGeM' + + + def test_gui_init_int_1(self): + gui_handler = gui.Gui() + assert gui_handler.check_var_1.get() == 0 + + + def test_gui_init_int_2(self): + gui_handler = gui.Gui() + assert gui_handler.check_var_2.get() == 0 + + + def test_gui_init_none_1(self): + gui_handler = gui.Gui() + assert gui_handler.label_geo == None + + + def test_gui_init_none_2(self): + gui_handler = gui.Gui() + assert gui_handler.label_params == None + + + def test_gui_init_all(self): + gui.Gui() + + + def test_gui_main(self): + interface = gui.Gui() + interface.main() + + diff --git a/tests/test_utils.py b/tests/test_utils.py index cbb6f56..4cc6f65 100644 --- a/tests/test_utils.py +++ b/tests/test_utils.py @@ -9,7 +9,7 @@ import vtk -class TestVtkHandler(TestCase): +class TestUtils(TestCase): def test_utils_write_original_box(self): From 4217f4a12a846edabdfab152c48fcfdf266129f6 Mon Sep 17 00:00:00 2001 From: Marco Tezzele Date: Thu, 21 Jul 2016 14:37:34 +0200 Subject: [PATCH 23/42] removed the repeated gui paragraph --- README.md | 22 ++++++---------------- 1 file changed, 6 insertions(+), 16 deletions(-) diff --git a/README.md b/README.md index 595f8a5..6a53ccf 100644 --- a/README.md +++ b/README.md @@ -16,11 +16,14 @@ See the **Examples** section below to have an idea of the potential of this pack ## Graphic Unit Interface -**PyGeM** is now provided with a very basic Graphic Unit Interface (GUI) that, in Ubuntu environment, looks like the one depicted below. This feature can be easily used even by the pythonists beginners with not much effort. +**PyGeM** is now provided with a very basic Graphic Unit Interface (GUI) that, in Ubuntu environment, looks like the one depicted below. This feature can be easily used even by the pythonists beginners with not much effort. Up to now, PyGeM GUI works on linux and Mac OS X computers. -![PyGeM gui](readme/gui_PyGeM.png) +Pick the geometry, the parameters file, set the name of the output and decide whether dump the FFD lattice or not. Now just click on the `Run PyGeM` button and that is it. -Up to now, PyGeM GUI works on linux and Mac OS X computers. +

+ +PyGeM GUI: how it appears when it pops up. +

## Dependencies and installation @@ -65,19 +68,6 @@ To uninstall the package you have to rerun the installation and record the insta The generated html can be found in `docs/build/html`. Open up the `index.html` you find there to browse. -## Gui -**PyGeM** comes with a very basic Graphic Unit Interface. - -Pick the geometry, the parameters file, set the name of the output and decide whether dump the FFD lattice or not. -Now just click on the `Run PyGeM` button and that is it. - -

- -

-

-PyGeM GUI: how it appears when it pops up. -

- ## Testing We are using Travis CI for continuous intergration testing. You can check out the current status [here](https://travis-ci.org/mathLab/PyGeM). From 5fb2c36357ccb932eb92c25fc4d6b1b7b57efcd8 Mon Sep 17 00:00:00 2001 From: fsalmoir Date: Fri, 22 Jul 2016 10:37:16 +0200 Subject: [PATCH 24/42] now we can plot iges, vtk and stl on the gui during the execution --- pygem/gui.py | 46 ++++++++++++++++++++++++++++++++++++------- pygem/igeshandler.py | 2 ++ pygem/stlhandler.py | 5 +++++ pygem/vtkhandler.py | 2 ++ readme/gui_PyGeM.png | Bin 28494 -> 92512 bytes tests/test_gui.py | 10 ++++++++++ 6 files changed, 58 insertions(+), 7 deletions(-) diff --git a/pygem/gui.py b/pygem/gui.py index d293dc5..6f227c9 100644 --- a/pygem/gui.py +++ b/pygem/gui.py @@ -12,6 +12,10 @@ import os import webbrowser +from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg +from matplotlib.figure import Figure + + class Gui(object): """ The class for the Graphic Unit Interface. @@ -32,12 +36,17 @@ class Gui(object): :cvar Tkinter.Label label_geo: label related to 'print_geometry_path'. :cvar Tkinter.Label label_params: label related to 'print_parameters_path'. :cvar string url: url of the github page of PyGeM. + :cvar Tkinter.Canvas logo_panel: canvas for PyGeM logo. + :cvar Tkinter.PhotoImage img: PyGeM logo. """ def __init__(self): self.root = Tkinter.Tk() + self.root.resizable(width=False, height=False) + self.root.minsize(width=1400, height=400) + self.root.maxsize(width=1400, height=400) self.root.title('PyGeM') self.filename_geometry = Tkinter.StringVar() @@ -52,11 +61,13 @@ def __init__(self): self.label_geo = None self.label_params = None self.url = 'https://github.com/mathLab/PyGeM' - - self.canvas = None + self.logo_panel = None self.img = None + self.orig_geo_frame = None + self.mod_geo_frame = None + def _chose_geometry(self): """ @@ -107,7 +118,16 @@ def _run_simulation(self): free_form.perform() new_mesh_points = free_form.modified_mesh_points - geo_handler.write(new_mesh_points, self.outfilename.get() + file_extension_in) + geo_handler.write(new_mesh_points, self.outfilename.get() + file_extension_in) + + if file_extension_in in ['.vtk', '.stl', '.iges', '.igs']: + figure_in = geo_handler.plot() + figure_in.set_size_inches(4, 3) + FigureCanvasTkAgg(figure_in, master=self.orig_geo_frame).get_tk_widget().grid(row=1, column=0, padx=5, pady=5) + + figure_out = geo_handler.plot(self.outfilename.get() + file_extension_in) + figure_out.set_size_inches(4, 3) + FigureCanvasTkAgg(figure_out, master=self.mod_geo_frame).get_tk_widget().grid(row=1, column=0, padx=5, pady=5) if self.check_var_1.get() == 1: pg.utils.write_bounding_box(params, self.outfilename_lattice_orig.get() + '.vtk', False) @@ -129,12 +149,23 @@ def main(self): """ self.logo_panel = Tkinter.Canvas(self.root, height=60 , width=60) - self.logo_panel.pack(side = "bottom", padx = 5, pady = 5,anchor=Tkinter.SE) + self.logo_panel.pack(side="bottom", padx=5, pady=5,anchor=Tkinter.SE) self.img = Tkinter.PhotoImage(master=self.logo_panel, file='readme/logo_PyGeM_gui.gif') self.logo_panel.create_image(35,35, image=self.img) - code_frame = Tkinter.Frame(self.root) - code_frame.pack() + self.orig_geo_frame = Tkinter.Frame(self.root, height=450, width=360, bg='#c1d0f0') + self.orig_geo_frame.pack(side="left", padx=5, pady=5) + self.orig_geo_frame.pack_propagate(0) + Tkinter.Label(self.orig_geo_frame, text="INPUT GEOMETRY", bg='#c1d0f0', font=("Arial", 20)).grid(row=0, column=0, padx=3, pady=3) + + self.mod_geo_frame = Tkinter.Frame(self.root, height=450, width=360, bg='#80ff80', padx=5, pady=5) + self.mod_geo_frame.pack(side="right", padx=5, pady=5) + self.mod_geo_frame.pack_propagate(0) + Tkinter.Label(self.mod_geo_frame, text="OUTPUT GEOMETRY", bg='#80ff80', font=("Arial", 20)).grid(row=0, column=0, padx=3, pady=3) + + code_frame = Tkinter.Frame(self.root, height=490, width=360, relief=Tkinter.GROOVE, borderwidth=1) + code_frame.pack(padx=5, pady=5) + code_frame.pack_propagate(0) # Buttons 1 Tkinter.Button(code_frame, text ="Pick the geometry", command = self._chose_geometry).grid(row=0, column=0, padx=3, pady=3) @@ -164,7 +195,8 @@ def main(self): Tkinter.Entry(code_frame, bd =5, textvariable=self.outfilename_lattice_mod).grid(row=4, column=1) # Run button - Tkinter.Button(code_frame, text ="Run PyGeM", command = self._run_simulation, bg='#065893', fg='#f19625', font='bold').grid(row=5, column=0, padx=3, pady=3) + Tkinter.Button(code_frame, text ="Run PyGeM", command = self._run_simulation, bg='#065893', fg='#f19625', \ + font='bold').grid(row=5, column=0, columnspan=2, padx=3, pady=3) # Menu menubar = Tkinter.Menu(self.root) diff --git a/pygem/igeshandler.py b/pygem/igeshandler.py index 2180d86..f34f868 100644 --- a/pygem/igeshandler.py +++ b/pygem/igeshandler.py @@ -254,6 +254,8 @@ def plot(self, plot_file=None, save_fig=False): pyplot.show() else: figure.savefig(plot_file.split('.')[0] + '.png') + + return figure def show(self, show_file=None): diff --git a/pygem/stlhandler.py b/pygem/stlhandler.py index 4561b3e..10ec87a 100644 --- a/pygem/stlhandler.py +++ b/pygem/stlhandler.py @@ -87,6 +87,8 @@ def plot(self, plot_file=None, save_fig=False): :param string plot_file: the stl filename you want to plot. :param bool save_fig: a flag to save the figure in png or not. If True the plot is not shown. + + aggiungere return """ if plot_file is None: plot_file = self.infile @@ -110,3 +112,6 @@ def plot(self, plot_file=None, save_fig=False): pyplot.show() else: figure.savefig(plot_file.split('.')[0] + '.png') + + return figure + diff --git a/pygem/vtkhandler.py b/pygem/vtkhandler.py index 266ef05..9e24ead 100644 --- a/pygem/vtkhandler.py +++ b/pygem/vtkhandler.py @@ -147,6 +147,8 @@ def plot(self, plot_file=None, save_fig=False): plt.show() else: figure.savefig(plot_file.split('.')[0] + '.png') + + return figure def show(self, show_file=None): diff --git a/readme/gui_PyGeM.png b/readme/gui_PyGeM.png index 26e4d5b83cbb529783626c89e56f8ce6f0f8cf06..59e3938f0d1cff4b090cd5854e09d7feba393f32 100644 GIT binary patch literal 92512 zcma(2bx@n#6EFP) zoWL~QN856c zHk~p`V@i)_(;Dv8k-CfCqZt2ApUWSkvQOSi_BGAZ*(cNvX%7 zJJzIICtm9b<1c2hMFjT1SaYawF(vSXll(-TS2;^x>Mi&QVIiIY*MygrQa?&6iNP&K zd&eOcd$AVC^6Y>AUq=;Nq!Kv+{8d#zovPIF#{wiLzdpt|!8CUip2YlZyXJY9;-oXp z+g=_C$xZX=ZeEcJyai@4bd&eXJ+ZO-E*+(-GXBhZu;thbq&(o0o4o>|m9r_f|6_2( zg8DzKzhtTxB0h_(eX(rTBwf+PAS%3m$rerL?yfp+m-#y@aib@ee+~T=%Z8YENKPJU zxs``rA}KdI0AqI3Y|h6EKfG3q_WlX`_U z3^X(u(`$tuysPn$fFhR*jIpk0G*{Se{Nox0J`q}YiH9a9u!GSZi>XyY2{dGYeYO(s z0$iy{Eo@P$5q|q`Z~Zsy3Y>6oLfVuBM^(<@jEq|Dhl$I;+}v z=n+)DYLu5~A&G7nprI-pkrp#R1LuP3G?S}v2hJiAAwybfJaSf0armiYvk+$Ns)!nYB6TmmdI-g#wTSP za!ABbw}M^nn(OMR5V+!%*g5Mn{8;p76>Ad$T1=F${MU)~E!Ef3qEuU()kUMqo;Yxc zQF|HZ4Z8L3>Vmt&Fl=+r07pTT?o_~{KYdRqzn#gZPYVwny2Ah=rJ~8AjlPjT!W?oL zFl-s3qu%5H698iYl^SnEa-lxXk%PYi&T&XQC-w4GUA@T$4SM|Ek6H%$*J_6EiK+fs zuwH8;=#(0(IHEy8VvuP%7ShefSSd$e09LmTr1XE^fF@Zy^C#%f^vnN=@$*(KPYy%v zmsW%^yAinK!<(V1Lk+z~NWkC}xg+#IO05&nXVM*3D^;8n|0MX=dXJb8MZBQX+A-=^ z{&#V?PJj@)&?+b7R|5{Y!?;%~{kD-(ujpU@5B<08isw*@bTFmqFDAxU{Ql<10yBC?UYE*hq}H z_=}?dix>YR^)p2^TPwo(j%ds}5|V8ZCS_ASPl@eqKvn1WnFJZoRGSrH{1rHhB)R#S zca?X%%b~jxEyP4TrkJy)$U@q`^dFg9cEHsD#F<7E&t6@{?As*`ccgE0L$SEBnf?F- zv`Ita7%5JIaFOL4wj53B+LyM57Wk$ss?c-gB)#YHqwlK^S=~(C*xq z&=rhnVy4$e__T$P$j~reTc`eMb4`7*<t1#k{6JmAB4xw+t^{g@_)+2zKmx>` z*QV|QY;ki5j1lZz2*a;0BKF@jhOhBr2ID_TC1A4Q8P=oC*l?MX(^u&0!y9R=m9WM; 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z!|!KDYS3d|bhw53{$^`QlH|!ha0%oJ8bAVE@(3nj%PmSA&TV3I4i5)DP>e=JRCGSX z`TbrDy+4-8oC8R@gxg@h+qzlBhWn?fU1_?B>-WRZ&Kj34)5ETLM$(TCtYk?vK_>6+ z25T%ZWW@xh2>wqwPL1j|+D3EgUw%4Yq&bS;`2#J`|Nm?~Nufi2%Rr;^jD z*7*lE6QGyfBa0y~F1rT3inPE_s}{yOaVV@X9{Qjc$?rcC{H}Jee34}Rp_!6|PBk|} z(3D$-3>|*>PNR4Sveqf+zob?O{$37N`N&H4cb~P!cg}CN;QOcSM1XsV%Yn=0-Q#;z Rw9^)#B&RM5mwp%Ye*gq5Gx7ic diff --git a/tests/test_gui.py b/tests/test_gui.py index 771072e..5a6b217 100644 --- a/tests/test_gui.py +++ b/tests/test_gui.py @@ -70,6 +70,16 @@ def test_gui_init_none_2(self): gui_handler = gui.Gui() assert gui_handler.label_params == None + + def test_gui_init_none_3(self): + gui_handler = gui.Gui() + assert gui_handler.logo_panel == None + + + def test_gui_init_none_4(self): + gui_handler = gui.Gui() + assert gui_handler.img == None + def test_gui_init_all(self): gui.Gui() From 8011b67dbb87a23bb2c7eba9258a502ff10fe475 Mon Sep 17 00:00:00 2001 From: fsalmoir Date: Fri, 22 Jul 2016 10:45:27 +0200 Subject: [PATCH 25/42] some documentation and tests added for the gui new features --- pygem/gui.py | 4 ++-- pygem/vtkhandler.py | 3 +++ tests/test_gui.py | 10 ++++++++++ 3 files changed, 15 insertions(+), 2 deletions(-) diff --git a/pygem/gui.py b/pygem/gui.py index 6f227c9..ec7c361 100644 --- a/pygem/gui.py +++ b/pygem/gui.py @@ -38,6 +38,8 @@ class Gui(object): :cvar string url: url of the github page of PyGeM. :cvar Tkinter.Canvas logo_panel: canvas for PyGeM logo. :cvar Tkinter.PhotoImage img: PyGeM logo. + :cvar Tkinter.Frame orig_geo_frame: frame for plotting of the original geometry. + :cvar Tkinter.Frame mod_geo_frame: frame for plotting of the final geometry. """ @@ -63,8 +65,6 @@ def __init__(self): self.url = 'https://github.com/mathLab/PyGeM' self.logo_panel = None self.img = None - - self.orig_geo_frame = None self.mod_geo_frame = None diff --git a/pygem/vtkhandler.py b/pygem/vtkhandler.py index 9e24ead..7c5a6d0 100644 --- a/pygem/vtkhandler.py +++ b/pygem/vtkhandler.py @@ -106,6 +106,9 @@ def plot(self, plot_file=None, save_fig=False): :param string plot_file: the vtk filename you want to plot. :param bool save_fig: a flag to save the figure in png or not. If True the plot is not shown. + + :return: figure: matlplotlib structure for the figure of the chosen geometry + :rtype: matplotlib.pyplot.figure """ if plot_file is None: plot_file = self.infile diff --git a/tests/test_gui.py b/tests/test_gui.py index 5a6b217..584e3f9 100644 --- a/tests/test_gui.py +++ b/tests/test_gui.py @@ -80,6 +80,16 @@ def test_gui_init_none_4(self): gui_handler = gui.Gui() assert gui_handler.img == None + + def test_gui_init_none_5(self): + gui_handler = gui.Gui() + assert gui_handler.orig_geo_frame == None + + + def test_gui_init_none_6(self): + gui_handler = gui.Gui() + assert gui_handler.mod_geo_frame == None + def test_gui_init_all(self): gui.Gui() From df5104308098e89eeb71c66bb2c30e135def497c Mon Sep 17 00:00:00 2001 From: fsalmoir Date: Fri, 22 Jul 2016 10:49:58 +0200 Subject: [PATCH 26/42] some documentation and tests added for the gui new features --- pygem/igeshandler.py | 3 +++ pygem/stlhandler.py | 3 ++- 2 files changed, 5 insertions(+), 1 deletion(-) diff --git a/pygem/igeshandler.py b/pygem/igeshandler.py index f34f868..794d6ab 100644 --- a/pygem/igeshandler.py +++ b/pygem/igeshandler.py @@ -219,6 +219,9 @@ def plot(self, plot_file=None, save_fig=False): :param string plot_file: the iges filename you want to plot. :param bool save_fig: a flag to save the figure in png or not. If True the plot is not shown. + + :return: figure: matlplotlib structure for the figure of the chosen geometry + :rtype: matplotlib.pyplot.figure """ if plot_file is None: plot_file = self.infile diff --git a/pygem/stlhandler.py b/pygem/stlhandler.py index 10ec87a..0378e6d 100644 --- a/pygem/stlhandler.py +++ b/pygem/stlhandler.py @@ -88,7 +88,8 @@ def plot(self, plot_file=None, save_fig=False): :param bool save_fig: a flag to save the figure in png or not. If True the plot is not shown. - aggiungere return + :return: figure: matlplotlib structure for the figure of the chosen geometry + :rtype: matplotlib.pyplot.figure """ if plot_file is None: plot_file = self.infile From ecdd9add02b389780fd428bfec25972ba1072649 Mon Sep 17 00:00:00 2001 From: fsalmoir Date: Fri, 22 Jul 2016 11:27:04 +0200 Subject: [PATCH 27/42] changed picture and caption of gui in readme --- README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/README.md b/README.md index 6a53ccf..bf20b92 100644 --- a/README.md +++ b/README.md @@ -22,6 +22,8 @@ Pick the geometry, the parameters file, set the name of the output and decide wh

+

+

PyGeM GUI: how it appears when it pops up.

From 7e91fba23cf681b8d9ac66a99f987126dd2602cb Mon Sep 17 00:00:00 2001 From: fsalmoir Date: Fri, 22 Jul 2016 15:18:41 +0200 Subject: [PATCH 28/42] now matplotlib figures are centered on the geometry --- README.md | 2 +- pygem/igeshandler.py | 19 ++++++++++++++----- pygem/stlhandler.py | 15 ++++++++++++--- pygem/vtkhandler.py | 16 +++++++++++++--- 4 files changed, 40 insertions(+), 12 deletions(-) diff --git a/README.md b/README.md index bf20b92..b5fe824 100644 --- a/README.md +++ b/README.md @@ -18,7 +18,7 @@ See the **Examples** section below to have an idea of the potential of this pack ## Graphic Unit Interface **PyGeM** is now provided with a very basic Graphic Unit Interface (GUI) that, in Ubuntu environment, looks like the one depicted below. This feature can be easily used even by the pythonists beginners with not much effort. Up to now, PyGeM GUI works on linux and Mac OS X computers. -Pick the geometry, the parameters file, set the name of the output and decide whether dump the FFD lattice or not. Now just click on the `Run PyGeM` button and that is it. +Pick the geometry, the parameters file, set the name of the output and decide whether dump the FFD lattices or not. Now just click on the `Run PyGeM` button and that is it.

diff --git a/pygem/igeshandler.py b/pygem/igeshandler.py index 794d6ab..300dbec 100644 --- a/pygem/igeshandler.py +++ b/pygem/igeshandler.py @@ -246,11 +246,20 @@ def plot(self, plot_file=None, save_fig=False): # Load the STL files and add the vectors to the plot stl_mesh = mesh.Mesh.from_file('aux_figure.stl') os.remove('aux_figure.stl') - axes.add_collection3d(mplot3d.art3d.Poly3DCollection(stl_mesh.vectors)) - - # Auto scale to the mesh size - scale = stl_mesh.points.flatten(-1) - axes.auto_scale_xyz(scale, scale, scale) + axes.add_collection3d(mplot3d.art3d.Poly3DCollection(stl_mesh.vectors/1000)) + + ## Get the limits of the axis and center the geometry + max_dim = np.array([np.max(stl_mesh.vectors[:,:,0])/1000, \ + np.max(stl_mesh.vectors[:,:,1])/1000, \ + np.max(stl_mesh.vectors[:,:,2])/1000]) + min_dim = np.array([np.min(stl_mesh.vectors[:,:,0])/1000, \ + np.min(stl_mesh.vectors[:,:,1])/1000, \ + np.min(stl_mesh.vectors[:,:,2])/1000]) + + max_lenght = np.max(max_dim - min_dim) + axes.set_xlim(-.6*max_lenght + (max_dim[0]+min_dim[0])/2, .6*max_lenght + (max_dim[0]+min_dim[0])/2) + axes.set_ylim(-.6*max_lenght + (max_dim[1]+min_dim[1])/2, .6*max_lenght + (max_dim[1]+min_dim[1])/2) + axes.set_zlim(-.6*max_lenght + (max_dim[2]+min_dim[2])/2, .6*max_lenght + (max_dim[2]+min_dim[2])/2) # Show the plot to the screen if not save_fig: diff --git a/pygem/stlhandler.py b/pygem/stlhandler.py index 0378e6d..ddac429 100644 --- a/pygem/stlhandler.py +++ b/pygem/stlhandler.py @@ -104,9 +104,18 @@ def plot(self, plot_file=None, save_fig=False): stl_mesh = mesh.Mesh.from_file(plot_file) axes.add_collection3d(mplot3d.art3d.Poly3DCollection(stl_mesh.vectors)) - # Auto scale to the mesh size - scale = stl_mesh.points.flatten(-1) - axes.auto_scale_xyz(scale, scale, scale) + ## Get the limits of the axis and center the geometry + max_dim = np.array([np.max(stl_mesh.vectors[:,:,0]), \ + np.max(stl_mesh.vectors[:,:,1]), \ + np.max(stl_mesh.vectors[:,:,2])]) + min_dim = np.array([np.min(stl_mesh.vectors[:,:,0]), \ + np.min(stl_mesh.vectors[:,:,1]), \ + np.min(stl_mesh.vectors[:,:,2])]) + + max_lenght = np.max(max_dim - min_dim) + axes.set_xlim(-.6*max_lenght + (max_dim[0]+min_dim[0])/2, .6*max_lenght + (max_dim[0]+min_dim[0])/2) + axes.set_ylim(-.6*max_lenght + (max_dim[1]+min_dim[1])/2, .6*max_lenght + (max_dim[1]+min_dim[1])/2) + axes.set_zlim(-.6*max_lenght + (max_dim[2]+min_dim[2])/2, .6*max_lenght + (max_dim[2]+min_dim[2])/2) # Show the plot to the screen if not save_fig: diff --git a/pygem/vtkhandler.py b/pygem/vtkhandler.py index 7c5a6d0..e152c70 100644 --- a/pygem/vtkhandler.py +++ b/pygem/vtkhandler.py @@ -141,9 +141,19 @@ def plot(self, plot_file=None, save_fig=False): tri.set_color('b') tri.set_edgecolor('k') axes.add_collection3d(tri) - - scale = vtx.flatten(-1) - axes.auto_scale_xyz(scale, scale, scale) + + ## Get the limits of the axis and center the geometry + max_dim = np.array([np.max(vtx[:,:,0]), \ + np.max(vtx[:,:,1]), \ + np.max(vtx[:,:,2])]) + min_dim = np.array([np.min(vtx[:,:,0]), \ + np.min(vtx[:,:,1]), \ + np.min(vtx[:,:,2])]) + + max_lenght = np.max(max_dim - min_dim) + axes.set_xlim(-.6*max_lenght + (max_dim[0]+min_dim[0])/2, .6*max_lenght + (max_dim[0]+min_dim[0])/2) + axes.set_ylim(-.6*max_lenght + (max_dim[1]+min_dim[1])/2, .6*max_lenght + (max_dim[1]+min_dim[1])/2) + axes.set_zlim(-.6*max_lenght + (max_dim[2]+min_dim[2])/2, .6*max_lenght + (max_dim[2]+min_dim[2])/2) # Show the plot to the screen if not save_fig: From cb05388af6aa8f72c8da3bc16d458e6651975ae0 Mon Sep 17 00:00:00 2001 From: fsalmoir Date: Wed, 27 Jul 2016 12:04:17 +0200 Subject: [PATCH 29/42] changed some lines of code in plot method of vtkhandler class to make it more general and fast --- pygem/gui.py | 12 ++++++------ pygem/vtkhandler.py | 15 +++++---------- 2 files changed, 11 insertions(+), 16 deletions(-) diff --git a/pygem/gui.py b/pygem/gui.py index ec7c361..164388d 100644 --- a/pygem/gui.py +++ b/pygem/gui.py @@ -119,7 +119,12 @@ def _run_simulation(self): new_mesh_points = free_form.modified_mesh_points geo_handler.write(new_mesh_points, self.outfilename.get() + file_extension_in) - + + if self.check_var_1.get() == 1: + pg.utils.write_bounding_box(params, self.outfilename_lattice_orig.get() + '.vtk', False) + if self.check_var_2.get() == 1: + pg.utils.write_bounding_box(params, self.outfilename_lattice_mod.get() + '.vtk', True) + if file_extension_in in ['.vtk', '.stl', '.iges', '.igs']: figure_in = geo_handler.plot() figure_in.set_size_inches(4, 3) @@ -128,11 +133,6 @@ def _run_simulation(self): figure_out = geo_handler.plot(self.outfilename.get() + file_extension_in) figure_out.set_size_inches(4, 3) FigureCanvasTkAgg(figure_out, master=self.mod_geo_frame).get_tk_widget().grid(row=1, column=0, padx=5, pady=5) - - if self.check_var_1.get() == 1: - pg.utils.write_bounding_box(params, self.outfilename_lattice_orig.get() + '.vtk', False) - if self.check_var_2.get() == 1: - pg.utils.write_bounding_box(params, self.outfilename_lattice_mod.get() + '.vtk', True) def _goto_website(self): diff --git a/pygem/vtkhandler.py b/pygem/vtkhandler.py index e152c70..0dc320e 100644 --- a/pygem/vtkhandler.py +++ b/pygem/vtkhandler.py @@ -115,28 +115,23 @@ def plot(self, plot_file=None, save_fig=False): else: self._check_filename_type(plot_file) - # Read the source file. - reader = vtk.vtkUnstructuredGridReader() + # Read the source file. + reader = vtk.vtkDataSetReader() reader.SetFileName(plot_file) reader.Update() data = reader.GetOutput() points = data.GetPoints() - ncells = data.GetCells().GetNumberOfCells() + ncells = data.GetNumberOfCells() # for each cell it contains the indeces of the points that define the cell - cells = np.zeros((ncells, 3)) - - for i in range(0, ncells): - for j in range(0, 3): - cells[i][j] = data.GetCell(i).GetPointId(j) - figure = plt.figure() axes = a3.Axes3D(figure) vtx = np.zeros((ncells, 3, 3)) for i in range(0, ncells): for j in range(0, 3): - vtx[i][j][0], vtx[i][j][1], vtx[i][j][2] = points.GetPoint(int(cells[i][j])) + cell = data.GetCell(i).GetPointId(j) + vtx[i][j][0], vtx[i][j][1], vtx[i][j][2] = points.GetPoint(int(cell)) tri = a3.art3d.Poly3DCollection([vtx[i]]) tri.set_color('b') tri.set_edgecolor('k') From 210ff581f6ed1d598ca9da427c5f37bfd1491c56 Mon Sep 17 00:00:00 2001 From: Marco Tezzele Date: Wed, 27 Jul 2016 12:05:54 +0200 Subject: [PATCH 30/42] RBF class and documentation --- docs/source/code.rst | 1 + pygem/__init__.py | 3 +- pygem/radial.py | 276 +++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 279 insertions(+), 1 deletion(-) create mode 100644 pygem/radial.py diff --git a/docs/source/code.rst b/docs/source/code.rst index d64ef93..8e116eb 100644 --- a/docs/source/code.rst +++ b/docs/source/code.rst @@ -8,6 +8,7 @@ Code Documentation affine freeform + radial params filehandler openfhandler diff --git a/pygem/__init__.py b/pygem/__init__.py index e6ff13d..24d4b80 100644 --- a/pygem/__init__.py +++ b/pygem/__init__.py @@ -1,8 +1,9 @@ -__all__ = ['affine', 'filehandler', 'freeform', 'openfhandler', 'params', 'stlhandler', 'unvhandler', 'vtkhandler', 'igeshandler', 'utils', 'gui'] +__all__ = ['affine', 'filehandler', 'freeform', 'radial', 'openfhandler', 'params', 'stlhandler', 'unvhandler', 'vtkhandler', 'igeshandler', 'utils', 'gui'] from . import affine from . import freeform +from . import radial from . import filehandler from . import openfhandler from . import params diff --git a/pygem/radial.py b/pygem/radial.py new file mode 100644 index 0000000..eb30c24 --- /dev/null +++ b/pygem/radial.py @@ -0,0 +1,276 @@ +""" +Module focused on the implementation of the Radial Basis Functions interpolation technique. +This technique is still based on the use of a set of parameters, the so-called control points, +as for FFD, but RBF is interpolatory. Another important key point of RBF strategy relies in the +way we can locate the control points: in fact, instead of FFD where control points need to be +placed inside a regular lattice, with RBF we hano no more limitations. So we have the possibility +to perform localized control points refiniments. +The module is analogous to the freeform one. + +:Theoretical Insight: + + As reference please consult M. D. Buhmann. Radial Basis Functions, volume 12 of Cambridge + monographs on applied and computational mathematics. Cambridge University Press, UK, 2003. + RBF shape parametrization technique is based on the definition of a map, + :math:`\\mathcal{M}(\\boldsymbol{x}) : \\mathbb{R}^n \\rightarrow \\mathbb{R}^n`, that allows the + possibility of transferring data across non-matching grids and facing the dynamic mesh handling. + The map introduced is defines as follows + + .. math:: + \\mathcal{M}(\\boldsymbol{x}) = p(\\boldsymbol{x}) + \\sum_{i=1}^{\\mathcal{N}_C} \\gamma_i + \\varphi(\\| \\boldsymbol{x} - \\boldsymbol{x_{C_i}} \\|) + + where :math:`p(\\boldsymbol{x})` is a low_degree polynomial term, :math:`\\gamma_i` is the weight, + corresponding to the a-priori selected :math:`\\mathcal{N}_C` control points, associated to the + :math:`i`-th basis function, and :math:`\\varphi(\\| \\boldsymbol{x} - \\boldsymbol{x_{C_i}} \\|)` + a radial function based on the Euclidean distance between the control points position + :math:`\\boldsymbol{x_{C_i}}` and :math:`\\boldsymbol{x}`. A radial basis function, generally, is + a real-valued function whose value depends only on the distance from the origin, so that + :math:`\\varphi(\\boldsymbol{x}) = \\tilde{\\varphi}(\\| \\boldsymbol{x} \\|)`. + + The matrix version of the formula above is: + + .. math:: + \\mathcal{M}(\\boldsymbol{x}) = \\boldsymbol{c} + \\boldsymbol{Q}\\boldsymbol{x} + + \\boldsymbol{W^T}\\boldsymbol{d}(\\boldsymbol{x}) + + The idea is that after the computation of the weights and the polynomial terms from the coordinates + of the control points before and after the deformation, we can deform all the points of the mesh + accordingly. + Among the most common used radial basis functions for modelling 2D and 3D shapes, we consider + Gaussian splines, Multi-quadratic biharmonic splines, Inverted multi-quadratic biharmonic splines, + Thin-plate splines and Beckert and Wendland :math:`C^2` basis all defined and implemented below. +""" +import os +import params as rbfp +import numpy as np +from mpl_toolkits.mplot3d import axes3d +import matplotlib.pyplot as plt + + +class RBF(object): + """ + Class that handles the Radial Basis Functions interpolation on the mesh points. + + :param RBFParameters rbf_parameters: parameters of the RBF. + :param numpy.ndarray original_mesh_points: coordinates of the original points of the mesh. + + :cvar RBFParameters parameters: parameters of the RBF. + :cvar numpy.ndarray original_mesh_points: coordinates of the original points of the mesh. + The shape is `n_points`-by-3. + :cvar numpy.ndarray modified_mesh_points: coordinates of the points of the deformed mesh. + The shape is `n_points`-by-3. + :cvar dict bases: a dictionary that associates the names of the basis functions + implemented to the actual implementation. + :cvar numpy.matrix weights: the matrix formed by the weights corresponding to the a-priori + selected N control points, associated to the basis functions and c and Q terms that + describe the polynomial of order one p(x) = c + Qx. The shape is + (n_control_points+1+3)-by-3. It is computed internally. + + :Example: + + >>> import pygem.radial as rbf + >>> import pygem.params as rbfp + >>> import numpy as np + + >>> rbf_parameters = rbfp.FFDParameters() + >>> rbf_parameters.read_parameters('tests/test_datasets/parameters_rbf_cube.prm') + + >>> nx, ny, nz = (20, 20, 20) + >>> mesh = np.zeros((nx * ny * nz, 3)) + >>> xv = np.linspace(0, 1, nx) + >>> yv = np.linspace(0, 1, ny) + >>> zv = np.linspace(0, 1, nz) + >>> z, y, x = np.meshgrid(zv, yv, xv) + >>> mesh = np.array([x.ravel(), y.ravel(), z.ravel()]) + >>> original_mesh_points = mesh.T + + >>> radial_trans = rbf.RBF(rbf_parameters, original_mesh_points) + >>> radial_trans.perform() + >>> new_mesh_points = radial_trans.modified_mesh_points + """ + def __init__(self, rbf_parameters, original_mesh_points): + self.parameters = rbf_parameters + self.original_mesh_points = original_mesh_points + self.modified_mesh_points = None + + self.bases = { + 'gaussian_spline': self.gaussian_spline, + 'multi_quadratic_biharmonic_spline': self.multi_quadratic_biharmonic_spline, + 'inv_multi_quadratic_biharmonic_spline': self.inv_multi_quadratic_biharmonic_spline, + 'thin_plate_spline': self.thin_plate_spline, + 'beckert_wendland_c2_basis': self.beckert_wendland_c2_basis + } + + # to make the str callable we have to use a dictionary with all the implemented radial basis functions + if params.basis in self.bases: + self.basis = self.bases[params.basis] + else: + raise NameError('The name of the basis function in the parameters file is not correct ' + \ + 'or not implemented. Check the documentation for all the available functions.') + + self.weights = self._get_weights(self.parameters.original_control_points, \ + self.parameters.deformed_control_points) + + + @staticmethod + def gaussian_spline(X, r): + """ + It implements the following formula: + + .. math:: + \\varphi(\\| \\boldsymbol{x} \\|) = e^{-\\frac{\\| \\boldsymbol{x} \\|^2}{r^2}} + + :param numpy.ndarray X: the vector x in the formula above. + :param float r: the parameter r in the formula above. + + :return: result: the result of the formula above. + :rtype: float + """ + norm = np.linalg.norm(X) + result = np.exp( -(norm * norm) / (r * r) ) + return result + + + @staticmethod + def multi_quadratic_biharmonic_spline(X, r): + """ + It implements the following formula: + + .. math:: + \\varphi(\\| \\boldsymbol{x} \\|) = \\sqrt{\\| \\boldsymbol{x} \\|^2 + r^2} + + :param numpy.ndarray X: the vector x in the formula above. + :param float r: the parameter r in the formula above. + + :return: result: the result of the formula above. + :rtype: float + """ + norm = np.linalg.norm(X) + result = np.sqrt( (norm * norm) + (r * r) ) + return result + + + @staticmethod + def inv_multi_quadratic_biharmonic_spline(X, r): + """ + It implements the following formula: + + .. math:: + \\varphi(\\| \\boldsymbol{x} \\|) = (\\| \\boldsymbol{x} \\|^2 + r^2 )^{-\\frac{1}{2}} + + :param numpy.ndarray X: the vector x in the formula above. + :param float r: the parameter r in the formula above. + + :return: result: the result of the formula above. + :rtype: float + """ + result = 1.0/multi_quadratic_biharmonic_spline(X, r) + return result + + + @staticmethod + def thin_plate_spline(X, r): + """ + It implements the following formula: + + .. math:: + \\varphi(\\| \\boldsymbol{x} \\|) = \\left\\| \\frac{\\boldsymbol{x} }{r} \\right\\|^2 + \\ln \\left\\| \\frac{\\boldsymbol{x} }{r} \\right\\| + + :param numpy.ndarray X: the vector x in the formula above. + :param float r: the parameter r in the formula above. + + :return: result: the result of the formula above. + :rtype: float + """ + arg = X/r + norm = np.linalg.norm(arg) + result = norm * norm + if norm > 0: + result *= np.log(norm) + return result + + + @staticmethod + def beckert_wendland_c2_basis(X, r): + """ + It implements the following formula: + + .. math:: + \\varphi(\\| \\boldsymbol{x} \\|) = \\left( 1 - \\frac{\\| \\boldsymbol{x} \\|}{r} \\right)^4_+ + \\left( 4 \\frac{\\| \\boldsymbol{x} \\|}{r} + 1 \\right) + + :param numpy.ndarray X: the vector x in the formula above. + :param float r: the parameter r in the formula above. + + :return: result: the result of the formula above. + :rtype: float + """ + norm = np.linalg.norm(X) + arg = norm / r + first = 0 + if (1 - arg) > 0: + first = np.power((1 - arg), 4) + second = (4 * arg) + 1 + result = first * second + return result + + + def _distance_matrix(self, X1, X2): + """ + This private method returns the following matrix: + :math:`\\boldsymbol{D_{ij}} = \\varphi(\\| \\boldsymbol{x_i} - \\boldsymbol{y_j} \\|)` + + :param numpy.ndarray X1: the vector x in the formula above. + :param numpy.ndarray X2: the vector y in the formula above. + + :return: matrix: the matrix D. + :rtype: numpy.ndarray + """ + m, n = X1.shape[0], X2.shape[0] + matrix = np.zeros(shape=(m, n)) + for i in range(0, m): + for j in range(0, n): + matrix[i][j] = self.basis(X1[i] - X2[j], self.parameters.radius) + return matrix + + + def _get_weights(self, X, Y): + """ + This private method, given the original control points and the deformed ones, returns the matrix + with the weights and the polynomial terms, that is :math:`W`, :math:`c^T` and :math:`Q^T`. + The shape is (n_control_points+1+3)-by-3. + + :param numpy.ndarray X: it is an n_control_points-by-3 array with the + coordinates of the original interpolation control points before the deformation. + :param numpy.ndarray Y: it is an n_control_points-by-3 array with the + coordinates of the interpolation control points after the deformation. + + :return: weights: the matrix with the weights and the polynomial terms. + :rtype: numpy.matrix + """ + n_points = X.shape[0] + dim = X.shape[1] + identity = np.ones(n_points).reshape(n_points, 1) + dist = self._distance_matrix(X, X) + H = np.bmat([[dist, identity, X], [identity.T, np.zeros((1, 1)), np.zeros((1, dim))], \ + [X.T, np.zeros((dim, 1)), np.zeros((dim, dim))]]) + rhs = np.bmat([[Y], [np.zeros((1, dim))], [np.zeros((dim, dim))]]) + inv_H = np.linalg.inv(H) + weights = np.dot(inv_H, rhs) + return weights + + + def perform(self): + """ + This method performs the deformation of the mesh points. After the execution + it sets `self.modified_mesh_points`. + """ + n_points = self.original_mesh_points.shape[0] + dim = self.original_mesh_points.shape[1] + dist = self._distance_matrix(self.original_mesh_points, self.parameters.original_control_points) + identity = np.ones(n_points).reshape(n_points, 1) + H = np.bmat([[dist, identity, self.original_mesh_points]]) + self.modified_mesh_points = np.asarray(np.dot(H, self.weights)) + From 12f939bc0bf656ba9134f615e02b7b6f60236d84 Mon Sep 17 00:00:00 2001 From: Marco Tezzele Date: Wed, 27 Jul 2016 12:26:11 +0200 Subject: [PATCH 31/42] minor fixes --- pygem/radial.py | 83 +++++++++++++++++++++++-------------------------- 1 file changed, 39 insertions(+), 44 deletions(-) diff --git a/pygem/radial.py b/pygem/radial.py index eb30c24..83322e4 100644 --- a/pygem/radial.py +++ b/pygem/radial.py @@ -11,9 +11,9 @@ As reference please consult M. D. Buhmann. Radial Basis Functions, volume 12 of Cambridge monographs on applied and computational mathematics. Cambridge University Press, UK, 2003. - RBF shape parametrization technique is based on the definition of a map, + RBF shape parametrization technique is based on the definition of a map, :math:`\\mathcal{M}(\\boldsymbol{x}) : \\mathbb{R}^n \\rightarrow \\mathbb{R}^n`, that allows the - possibility of transferring data across non-matching grids and facing the dynamic mesh handling. + possibility of transferring data across non-matching grids and facing the dynamic mesh handling. The map introduced is defines as follows .. math:: @@ -23,10 +23,10 @@ where :math:`p(\\boldsymbol{x})` is a low_degree polynomial term, :math:`\\gamma_i` is the weight, corresponding to the a-priori selected :math:`\\mathcal{N}_C` control points, associated to the :math:`i`-th basis function, and :math:`\\varphi(\\| \\boldsymbol{x} - \\boldsymbol{x_{C_i}} \\|)` - a radial function based on the Euclidean distance between the control points position + a radial function based on the Euclidean distance between the control points position :math:`\\boldsymbol{x_{C_i}}` and :math:`\\boldsymbol{x}`. A radial basis function, generally, is - a real-valued function whose value depends only on the distance from the origin, so that - :math:`\\varphi(\\boldsymbol{x}) = \\tilde{\\varphi}(\\| \\boldsymbol{x} \\|)`. + a real-valued function whose value depends only on the distance from the origin, so that + :math:`\\varphi(\\boldsymbol{x}) = \\tilde{\\varphi}(\\| \\boldsymbol{x} \\|)`. The matrix version of the formula above is: @@ -41,11 +41,7 @@ Gaussian splines, Multi-quadratic biharmonic splines, Inverted multi-quadratic biharmonic splines, Thin-plate splines and Beckert and Wendland :math:`C^2` basis all defined and implemented below. """ -import os -import params as rbfp import numpy as np -from mpl_toolkits.mplot3d import axes3d -import matplotlib.pyplot as plt class RBF(object): @@ -64,7 +60,7 @@ class RBF(object): implemented to the actual implementation. :cvar numpy.matrix weights: the matrix formed by the weights corresponding to the a-priori selected N control points, associated to the basis functions and c and Q terms that - describe the polynomial of order one p(x) = c + Qx. The shape is + describe the polynomial of order one p(x) = c + Qx. The shape is (n_control_points+1+3)-by-3. It is computed internally. :Example: @@ -73,7 +69,7 @@ class RBF(object): >>> import pygem.params as rbfp >>> import numpy as np - >>> rbf_parameters = rbfp.FFDParameters() + >>> rbf_parameters = rbfp.RBFParameters() >>> rbf_parameters.read_parameters('tests/test_datasets/parameters_rbf_cube.prm') >>> nx, ny, nz = (20, 20, 20) @@ -84,7 +80,7 @@ class RBF(object): >>> z, y, x = np.meshgrid(zv, yv, xv) >>> mesh = np.array([x.ravel(), y.ravel(), z.ravel()]) >>> original_mesh_points = mesh.T - + >>> radial_trans = rbf.RBF(rbf_parameters, original_mesh_points) >>> radial_trans.perform() >>> new_mesh_points = radial_trans.modified_mesh_points @@ -93,18 +89,17 @@ def __init__(self, rbf_parameters, original_mesh_points): self.parameters = rbf_parameters self.original_mesh_points = original_mesh_points self.modified_mesh_points = None - - self.bases = { - 'gaussian_spline': self.gaussian_spline, - 'multi_quadratic_biharmonic_spline': self.multi_quadratic_biharmonic_spline, - 'inv_multi_quadratic_biharmonic_spline': self.inv_multi_quadratic_biharmonic_spline, - 'thin_plate_spline': self.thin_plate_spline, - 'beckert_wendland_c2_basis': self.beckert_wendland_c2_basis - } - - # to make the str callable we have to use a dictionary with all the implemented radial basis functions - if params.basis in self.bases: - self.basis = self.bases[params.basis] + + self.bases = {'gaussian_spline': self.gaussian_spline, \ + 'multi_quadratic_biharmonic_spline': self.multi_quadratic_biharmonic_spline, \ + 'inv_multi_quadratic_biharmonic_spline': self.inv_multi_quadratic_biharmonic_spline, \ + 'thin_plate_spline': self.thin_plate_spline, \ + 'beckert_wendland_c2_basis': self.beckert_wendland_c2_basis} + + # to make the str callable we have to use a dictionary with all the implemented + # radial basis functions + if self.parameters.basis in self.bases: + self.basis = self.bases[self.parameters.basis] else: raise NameError('The name of the basis function in the parameters file is not correct ' + \ 'or not implemented. Check the documentation for all the available functions.') @@ -112,7 +107,7 @@ def __init__(self, rbf_parameters, original_mesh_points): self.weights = self._get_weights(self.parameters.original_control_points, \ self.parameters.deformed_control_points) - + @staticmethod def gaussian_spline(X, r): """ @@ -128,10 +123,10 @@ def gaussian_spline(X, r): :rtype: float """ norm = np.linalg.norm(X) - result = np.exp( -(norm * norm) / (r * r) ) + result = np.exp(-(norm * norm) / (r * r)) return result - - + + @staticmethod def multi_quadratic_biharmonic_spline(X, r): """ @@ -147,10 +142,10 @@ def multi_quadratic_biharmonic_spline(X, r): :rtype: float """ norm = np.linalg.norm(X) - result = np.sqrt( (norm * norm) + (r * r) ) + result = np.sqrt((norm * norm) + (r * r)) return result - - + + @staticmethod def inv_multi_quadratic_biharmonic_spline(X, r): """ @@ -165,17 +160,18 @@ def inv_multi_quadratic_biharmonic_spline(X, r): :return: result: the result of the formula above. :rtype: float """ - result = 1.0/multi_quadratic_biharmonic_spline(X, r) + norm = np.linalg.norm(X) + result = 1.0 / (np.sqrt((norm * norm) + (r * r))) return result - - + + @staticmethod def thin_plate_spline(X, r): """ It implements the following formula: .. math:: - \\varphi(\\| \\boldsymbol{x} \\|) = \\left\\| \\frac{\\boldsymbol{x} }{r} \\right\\|^2 + \\varphi(\\| \\boldsymbol{x} \\|) = \\left\\| \\frac{\\boldsymbol{x} }{r} \\right\\|^2 \\ln \\left\\| \\frac{\\boldsymbol{x} }{r} \\right\\| :param numpy.ndarray X: the vector x in the formula above. @@ -190,8 +186,8 @@ def thin_plate_spline(X, r): if norm > 0: result *= np.log(norm) return result - - + + @staticmethod def beckert_wendland_c2_basis(X, r): """ @@ -215,11 +211,11 @@ def beckert_wendland_c2_basis(X, r): second = (4 * arg) + 1 result = first * second return result - + def _distance_matrix(self, X1, X2): """ - This private method returns the following matrix: + This private method returns the following matrix: :math:`\\boldsymbol{D_{ij}} = \\varphi(\\| \\boldsymbol{x_i} - \\boldsymbol{y_j} \\|)` :param numpy.ndarray X1: the vector x in the formula above. @@ -234,8 +230,8 @@ def _distance_matrix(self, X1, X2): for j in range(0, n): matrix[i][j] = self.basis(X1[i] - X2[j], self.parameters.radius) return matrix - - + + def _get_weights(self, X, Y): """ This private method, given the original control points and the deformed ones, returns the matrix @@ -260,15 +256,14 @@ def _get_weights(self, X, Y): inv_H = np.linalg.inv(H) weights = np.dot(inv_H, rhs) return weights - - + + def perform(self): """ This method performs the deformation of the mesh points. After the execution it sets `self.modified_mesh_points`. """ n_points = self.original_mesh_points.shape[0] - dim = self.original_mesh_points.shape[1] dist = self._distance_matrix(self.original_mesh_points, self.parameters.original_control_points) identity = np.ones(n_points).reshape(n_points, 1) H = np.bmat([[dist, identity, self.original_mesh_points]]) From 84e15937aae55623bae31e26d0232707fb9551ba Mon Sep 17 00:00:00 2001 From: Marco Tezzele Date: Wed, 27 Jul 2016 16:38:50 +0200 Subject: [PATCH 32/42] test rbf --- .../test_datasets/meshpoints_cube_mod_rbf.npy | Bin 0 -> 192080 bytes tests/test_datasets/weights_rbf_cube.npy | Bin 0 -> 368 bytes tests/test_freeform.py | 11 --- tests/test_radial.py | 78 ++++++++++++++++++ 4 files changed, 78 insertions(+), 11 deletions(-) create mode 100644 tests/test_datasets/meshpoints_cube_mod_rbf.npy create mode 100644 tests/test_datasets/weights_rbf_cube.npy create mode 100644 tests/test_radial.py diff --git a/tests/test_datasets/meshpoints_cube_mod_rbf.npy 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z|1B;(llz`@!nM@z-M^#fprXIN+zR)Rx4D8v^2@P~E4RSrXib0#hqaW#A~L}0={uZ% z2B6vJ&}PXin77+etFuDEe%gtaA?r88@J&dpFa^)W@jvMIYKo%|9H-J2$=*>2XFZYV zf}D?>_gKqaX9^e=Jxrcrp8zd3OD<;|Z!58G-o_FVqwz7yu$jO!%pPcf|sOEP>-;WW3;oCnF3y>XY8=fSdkcGS|80&OoV z3H^k5AaaN{8|+*F$HcQ)zi~W|K75+hgyT!z78JHaYypn^-`@fpUH`Ad`hWi)k_8iwI#8ul)bJF@>qR9Vm;l{Nb}=*;D9r{nh7@7=Pw^H$q?OG`cU(9P3u<`hNdt2|x@e`|;+OJSoG&EFOxPOO@8snyag8SD$-M8yN%scxF htD6o?=AOC#bv#5|V5wlp7voj?=e_!!xY+!?Jpjt)t+4 Date: Thu, 28 Jul 2016 11:47:40 +0200 Subject: [PATCH 33/42] =?UTF-8?q?changed=20the=20order=20of=20the=20points?= =?UTF-8?q?=20in=20the=20plot=20of=20bounding=20box=20cause=20it=20?= =?UTF-8?q?=E2=80=A6=20(#87)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit changed the order of the points in the plot of bounding box --- pygem/utils.py | 17 +++++++++++++++-- .../box_modified_test_sphere_true_version5.vtk | 4 ++-- .../box_modified_test_sphere_true_version6.vtk | 4 ++-- .../box_test_sphere_true_version5.vtk | 2 +- .../box_test_sphere_true_version6.vtk | 2 +- 5 files changed, 21 insertions(+), 8 deletions(-) diff --git a/pygem/utils.py b/pygem/utils.py index 35b36b6..61105eb 100644 --- a/pygem/utils.py +++ b/pygem/utils.py @@ -29,7 +29,7 @@ def write_bounding_box(parameters, outfile, write_deformed=True): aux_x = np.linspace(0, parameters.lenght_box_x, parameters.n_control_points[0]) aux_y = np.linspace(0, parameters.lenght_box_y, parameters.n_control_points[1]) aux_z = np.linspace(0, parameters.lenght_box_z, parameters.n_control_points[2]) - lattice_z_coords, lattice_y_coords, lattice_x_coords = np.meshgrid(aux_z, aux_y, aux_x) + lattice_y_coords, lattice_x_coords, lattice_z_coords = np.meshgrid(aux_y, aux_x, aux_z) if write_deformed: box_points = np.array([lattice_x_coords.ravel() + parameters.array_mu_x.ravel() * parameters.lenght_box_x,\ @@ -43,8 +43,16 @@ def write_bounding_box(parameters, outfile, write_deformed=True): box_points = np.dot(parameters.rotation_matrix, box_points) + \ np.transpose(np.tile(parameters.origin_box, (n_rows, 1))) + + # step necessary to set the correct order to the box points for vtkStructuredGrid: + # Data in vtkStructuredGrid are ordered with x increasing fastest, then y, then z + dims = lattice_y_coords.shape + aux_xx = box_points[0,:].reshape(dims).ravel(order='f') + aux_yy = box_points[1,:].reshape(dims).ravel(order='f') + aux_zz = box_points[2,:].reshape(dims).ravel(order='f') + reordered_box_points = np.array((aux_xx, aux_yy, aux_zz)) - _write_vtk_box(box_points, outfile, parameters.n_control_points) + _write_vtk_box(reordered_box_points, outfile, parameters.n_control_points) def _write_vtk_box(box_points, filename, dimensions): @@ -54,6 +62,11 @@ def _write_vtk_box(box_points, filename, dimensions): :param numpy.ndarray box_points: coordinates of the FFD control points. :param string filename: name of the output file. :param list dimensions: dimension of the lattice in (x, y, z) directions. + + .. warning:: + If you want to visualize in paraview the inner points, + you have to slice the lattice because paraview does not visualize them automatically + even in the wireframe visualization. """ # setup points and vertices points = vtk.vtkPoints() diff --git a/tests/test_datasets/box_modified_test_sphere_true_version5.vtk b/tests/test_datasets/box_modified_test_sphere_true_version5.vtk index dc8287a..9adec96 100644 --- a/tests/test_datasets/box_modified_test_sphere_true_version5.vtk +++ b/tests/test_datasets/box_modified_test_sphere_true_version5.vtk @@ -4,8 +4,8 @@ ASCII DATASET STRUCTURED_GRID DIMENSIONS 3 2 2 POINTS 12 float --20 -55 -45 1.40315 -49.1766 -48.774 22.8063 -43.3531 -52.5479 +-20 -55 -45 1.40315 -49.1766 -48.774 52.8929 -77.5023 -149.241 +-42.9398 31.9333 -40.9551 -21.5367 37.7568 -44.729 -0.133524 43.5802 -48.503 -4.37166 -55 43.6327 17.0315 -49.1766 39.8587 38.4346 -43.3531 36.0848 --42.9398 31.9333 -40.9551 -21.5367 37.7568 -44.729 29.9531 9.431 -145.196 -27.3115 31.9333 47.6776 -5.90834 37.7568 43.9037 15.4948 43.5802 40.1297 diff --git a/tests/test_datasets/box_modified_test_sphere_true_version6.vtk b/tests/test_datasets/box_modified_test_sphere_true_version6.vtk index 2266eaf..f00bad6 100644 --- a/tests/test_datasets/box_modified_test_sphere_true_version6.vtk +++ b/tests/test_datasets/box_modified_test_sphere_true_version6.vtk @@ -4,8 +4,8 @@ ASCII DATASET STRUCTURED_GRID DIMENSIONS 3 2 2 POINTS 12 float --20 -55 -45 1.40315 -49.1766 -48.774 22.8063 -43.3531 -52.5479 +-20 -55 -45 1.40315 -49.1766 -48.774 52.8929 -77.5023 -149.241 +-42.9398 31.9333 -40.9551 -21.5367 37.7568 -44.729 -0.133524 43.5802 -48.503 -4.37166 -55 43.6327 17.0315 -49.1766 39.8587 38.4346 -43.3531 36.0848 --42.9398 31.9333 -40.9551 -21.5367 37.7568 -44.729 29.9531 9.431 -145.196 -27.3115 31.9333 47.6776 -5.90834 37.7568 43.9037 15.4948 43.5802 40.1297 diff --git a/tests/test_datasets/box_test_sphere_true_version5.vtk b/tests/test_datasets/box_test_sphere_true_version5.vtk index 1955b34..38bc3b4 100644 --- a/tests/test_datasets/box_test_sphere_true_version5.vtk +++ b/tests/test_datasets/box_test_sphere_true_version5.vtk @@ -5,7 +5,7 @@ DATASET STRUCTURED_GRID DIMENSIONS 3 2 2 POINTS 12 float -20 -55 -45 1.40315 -49.1766 -48.774 22.8063 -43.3531 -52.5479 --4.37166 -55 43.6327 17.0315 -49.1766 39.8587 38.4346 -43.3531 36.0848 -42.9398 31.9333 -40.9551 -21.5367 37.7568 -44.729 -0.133524 43.5802 -48.503 +-4.37166 -55 43.6327 17.0315 -49.1766 39.8587 38.4346 -43.3531 36.0848 -27.3115 31.9333 47.6776 -5.90834 37.7568 43.9037 15.4948 43.5802 40.1297 diff --git a/tests/test_datasets/box_test_sphere_true_version6.vtk b/tests/test_datasets/box_test_sphere_true_version6.vtk index 99f838b..4d9f0e1 100644 --- a/tests/test_datasets/box_test_sphere_true_version6.vtk +++ b/tests/test_datasets/box_test_sphere_true_version6.vtk @@ -5,7 +5,7 @@ DATASET STRUCTURED_GRID DIMENSIONS 3 2 2 POINTS 12 float -20 -55 -45 1.40315 -49.1766 -48.774 22.8063 -43.3531 -52.5479 --4.37166 -55 43.6327 17.0315 -49.1766 39.8587 38.4346 -43.3531 36.0848 -42.9398 31.9333 -40.9551 -21.5367 37.7568 -44.729 -0.133524 43.5802 -48.503 +-4.37166 -55 43.6327 17.0315 -49.1766 39.8587 38.4346 -43.3531 36.0848 -27.3115 31.9333 47.6776 -5.90834 37.7568 43.9037 15.4948 43.5802 40.1297 From dd90813a57c1c3bc352c4a98def9a1b44d709881 Mon Sep 17 00:00:00 2001 From: Marco Tezzele Date: Thu, 28 Jul 2016 12:13:51 +0200 Subject: [PATCH 34/42] More tests for radial and doc (#88) * More tests for radial and doc * one more test for beckert --- docs/source/radial.rst | 8 +++++++ tests/test_radial.py | 50 +++++++++++++++++++++++++++++++++++++++++- 2 files changed, 57 insertions(+), 1 deletion(-) create mode 100644 docs/source/radial.rst diff --git a/docs/source/radial.rst b/docs/source/radial.rst new file mode 100644 index 0000000..b52d62d --- /dev/null +++ b/docs/source/radial.rst @@ -0,0 +1,8 @@ +Radial +================= + +.. automodule:: pygem.radial + +.. autoclass:: RBF + :members: + :private-members: diff --git a/tests/test_radial.py b/tests/test_radial.py index 41ae189..83ab0a0 100644 --- a/tests/test_radial.py +++ b/tests/test_radial.py @@ -52,7 +52,7 @@ def test_rbf_modified_mesh_points_member(self): np.testing.assert_array_almost_equal(rbf.modified_mesh_points, self.get_cube_mesh_points()) - def test_rbf_original_mesh_points_member(self): + def test_rbf_weights_member(self): params = rbfp.RBFParameters() params.read_parameters(filename='tests/test_datasets/parameters_rbf_cube.prm') rbf = rad.RBF(params, self.get_cube_mesh_points()) @@ -76,3 +76,51 @@ def test_wrong_basis(self): with self.assertRaises(NameError): rbf = rad.RBF(params, self.get_cube_mesh_points()) + + def test_gaussian_spline(self): + params = rbfp.RBFParameters() + params.read_parameters(filename='tests/test_datasets/parameters_rbf_default.prm') + rbf = rad.RBF(params, self.get_cube_mesh_points()) + value = rbf.gaussian_spline(np.array([0.5, 1, 2, 0.2]).reshape(4, 1), 0.2) + np.testing.assert_almost_equal(value, 0.0) + + + def test_multi_quadratic_biharmonic_spline(self): + params = rbfp.RBFParameters() + params.read_parameters(filename='tests/test_datasets/parameters_rbf_default.prm') + rbf = rad.RBF(params, self.get_cube_mesh_points()) + value = rbf.multi_quadratic_biharmonic_spline(np.array([0.5, 1, 2, 0.2]).reshape(4, 1), 0.2) + np.testing.assert_almost_equal(value, 2.30867927612) + + + def test_inv_multi_quadratic_biharmonic_spline(self): + params = rbfp.RBFParameters() + params.read_parameters(filename='tests/test_datasets/parameters_rbf_default.prm') + rbf = rad.RBF(params, self.get_cube_mesh_points()) + value = rbf.inv_multi_quadratic_biharmonic_spline(np.array([0.5, 1, 2, 0.2]).reshape(4, 1), 0.2) + np.testing.assert_almost_equal(value, 0.433148081824) + + + def test_thin_plate_spline(self): + params = rbfp.RBFParameters() + params.read_parameters(filename='tests/test_datasets/parameters_rbf_default.prm') + rbf = rad.RBF(params, self.get_cube_mesh_points()) + value = rbf.thin_plate_spline(np.array([0.5, 1, 2, 0.2]).reshape(4, 1), 0.2) + np.testing.assert_almost_equal(value, 323.000395428) + + + def test_beckert_wendland_c2_basis_01(self): + params = rbfp.RBFParameters() + params.read_parameters(filename='tests/test_datasets/parameters_rbf_default.prm') + rbf = rad.RBF(params, self.get_cube_mesh_points()) + value = rbf.beckert_wendland_c2_basis(np.array([0.5, 1, 2, 0.2]).reshape(4, 1), 0.2) + np.testing.assert_almost_equal(value, 0.0) + + + def test_beckert_wendland_c2_basis_02(self): + params = rbfp.RBFParameters() + params.read_parameters(filename='tests/test_datasets/parameters_rbf_default.prm') + rbf = rad.RBF(params, self.get_cube_mesh_points()) + value = rbf.beckert_wendland_c2_basis(np.array([0.1, 0.15, -0.2]).reshape(3, 1), 0.9) + np.testing.assert_almost_equal(value, 0.529916819595) + From 39bdcea7a3d8fd0bce5a0f6ff8055fb20c15979c Mon Sep 17 00:00:00 2001 From: Marco Tezzele Date: Fri, 29 Jul 2016 11:28:15 +0200 Subject: [PATCH 35/42] pylint fixes and workaround for mac users --- pygem/gui.py | 131 ++++++++++++++++++++++++---------------------- start_gui.py | 3 -- tests/test_gui.py | 10 ++-- 3 files changed, 70 insertions(+), 74 deletions(-) diff --git a/pygem/gui.py b/pygem/gui.py index 164388d..0d32854 100644 --- a/pygem/gui.py +++ b/pygem/gui.py @@ -4,16 +4,11 @@ .. todo:: Switch to Ttk instead of Tk for a better look of the GUI """ - import Tkinter from tkFileDialog import askopenfilename -import pygem as pg -import sys import os import webbrowser - from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg -from matplotlib.figure import Figure class Gui(object): @@ -22,8 +17,8 @@ class Gui(object): :cvar string filename_geometry: input geometry to be morphed. :cvar string filename_parameters: input parameters file for FFD. - :cvar int check_var_1: dump or not the original FFD lattice. - :cvar int check_var_2: dump or not the morphed FFD lattice. + :cvar int check_var_dump_orig: dump or not the original FFD lattice. + :cvar int check_var_dump_morphed: dump or not the morphed FFD lattice. :cvar string outfilename: name of the output file geometry. The extension of the file is set automatically equal to the on of input file 'filename_geometry'. :cvar string outfilename_lattice_orig: name of the dumped file for the original lattice. @@ -32,7 +27,8 @@ class Gui(object): The extension of the file is set automatically equal to '.vtk'. :cvar Tkinter.Tk root: main window object of the GUI. :cvar string print_geometry_path: geometry path to be printed close to the 'pick geometry' button. - :cvar string print_parameter_path: parameters file path to be printed close to the 'pick parameters' button. + :cvar string print_parameter_path: parameters file path to be printed close to the + 'pick parameters' button. :cvar Tkinter.Label label_geo: label related to 'print_geometry_path'. :cvar Tkinter.Label label_params: label related to 'print_parameters_path'. :cvar string url: url of the github page of PyGeM. @@ -40,21 +36,17 @@ class Gui(object): :cvar Tkinter.PhotoImage img: PyGeM logo. :cvar Tkinter.Frame orig_geo_frame: frame for plotting of the original geometry. :cvar Tkinter.Frame mod_geo_frame: frame for plotting of the final geometry. - """ - def __init__(self): - self.root = Tkinter.Tk() self.root.resizable(width=False, height=False) self.root.minsize(width=1400, height=400) self.root.maxsize(width=1400, height=400) self.root.title('PyGeM') - self.filename_geometry = Tkinter.StringVar() self.filename_parameters = Tkinter.StringVar() - self.check_var_1 = Tkinter.IntVar() - self.check_var_2 = Tkinter.IntVar() + self.check_var_dump_orig = Tkinter.IntVar() + self.check_var_dump_morphed = Tkinter.IntVar() self.outfilename = Tkinter.StringVar() self.outfilename_lattice_orig = Tkinter.StringVar() self.outfilename_lattice_mod = Tkinter.StringVar() @@ -74,8 +66,9 @@ def _chose_geometry(self): The private method explores the file system and allows to select the wanted geometry. Up to now, you can select only IGES, OpenFOAM, STL, UNV or VTK geometry file. """ - self.filename_geometry = askopenfilename(filetypes=[("IGES File",('*.iges', '*.igs')), \ - ("OpenFOAM File",'*'),('STL File','*.stl'),('UNV File','*.unv'),('VTK File','*.vtk'),('All','*')]) + self.filename_geometry = askopenfilename(filetypes=[("IGES File", ('*.iges', '*.igs')), \ + ("OpenFOAM File", '*'), ('STL File', '*.stl'), ('UNV File', '*.unv'), \ + ('VTK File', '*.vtk'), ('All', '*')]) self.print_geometry_path.set(self.filename_geometry) self.label_geo.configure(fg='green') @@ -85,7 +78,7 @@ def _chose_parameters(self): The private method explores the file system and allows to select the wanted parameters file. It visualizes only .prm files. """ - self.filename_parameters = askopenfilename(filetypes=[("Params File","*.prm")]) + self.filename_parameters = askopenfilename(filetypes=[("Params File", "*.prm")]) self.print_parameter_path.set(self.filename_parameters) self.label_params.configure(fg='green') @@ -94,45 +87,44 @@ def _run_simulation(self): """ The private method runs the geometrical morphing. """ + import pygem as pg params = pg.params.FFDParameters() params.read_parameters(filename=self.filename_parameters) - (__,file_extension_in) = os.path.splitext(self.filename_geometry) - - if file_extension_in == '.stl': - geo_handler = pg.stlhandler.StlHandler() - elif file_extension_in in ['.iges', '.igs']: - geo_handler = pg.igeshandler.IgesHandler() - elif file_extension_in == '.unv': - geo_handler = pg.unvhandler.UnvHandler() - elif file_extension_in == '': - geo_handler = pg.openfhandler.OpenFoamHandler() - elif file_extension_in == '.vtk': - geo_handler = pg.vtkhandler.VtkHandler() + file_extension_in = os.path.splitext(self.filename_geometry)[-1] + ext_handlers = {'.stl': pg.stlhandler.StlHandler(), \ + '.iges': pg.igeshandler.IgesHandler(), \ + '.igs': pg.igeshandler.IgesHandler(), \ + '.unv': pg.unvhandler.UnvHandler(), \ + '': pg.openfhandler.OpenFoamHandler(), \ + '.vtk': pg.vtkhandler.VtkHandler()} + + if file_extension_in in ext_handlers: + geo_handler = ext_handlers[file_extension_in] else: - raise NotImplementedError("Format not implemented yet") - - mesh_points = geo_handler.parse(self.filename_geometry) + raise NotImplementedError("Format not implemented yet.") + mesh_points = geo_handler.parse(self.filename_geometry) free_form = pg.freeform.FFD(params, mesh_points) free_form.perform() new_mesh_points = free_form.modified_mesh_points geo_handler.write(new_mesh_points, self.outfilename.get() + file_extension_in) - if self.check_var_1.get() == 1: + if self.check_var_dump_orig.get() == 1: pg.utils.write_bounding_box(params, self.outfilename_lattice_orig.get() + '.vtk', False) - if self.check_var_2.get() == 1: + if self.check_var_dump_morphed.get() == 1: pg.utils.write_bounding_box(params, self.outfilename_lattice_mod.get() + '.vtk', True) if file_extension_in in ['.vtk', '.stl', '.iges', '.igs']: figure_in = geo_handler.plot() figure_in.set_size_inches(4, 3) - FigureCanvasTkAgg(figure_in, master=self.orig_geo_frame).get_tk_widget().grid(row=1, column=0, padx=5, pady=5) - + FigureCanvasTkAgg(figure_in, master=self.orig_geo_frame).get_tk_widget().grid(row=1, column=0, \ + padx=5, pady=5) figure_out = geo_handler.plot(self.outfilename.get() + file_extension_in) figure_out.set_size_inches(4, 3) - FigureCanvasTkAgg(figure_out, master=self.mod_geo_frame).get_tk_widget().grid(row=1, column=0, padx=5, pady=5) + FigureCanvasTkAgg(figure_out, master=self.mod_geo_frame).get_tk_widget().grid(row=1, column=0, \ + padx=5, pady=5) def _goto_website(self): @@ -143,64 +135,67 @@ def _goto_website(self): webbrowser.open(self.url) - def main(self): + def _main(self): """ - The method inizializes and visualizes the window. + The private method inizializes and visualizes the window. """ - - self.logo_panel = Tkinter.Canvas(self.root, height=60 , width=60) - self.logo_panel.pack(side="bottom", padx=5, pady=5,anchor=Tkinter.SE) + self.logo_panel = Tkinter.Canvas(self.root, height=60, width=60) + self.logo_panel.pack(side="bottom", padx=5, pady=5, anchor=Tkinter.SE) self.img = Tkinter.PhotoImage(master=self.logo_panel, file='readme/logo_PyGeM_gui.gif') - self.logo_panel.create_image(35,35, image=self.img) + self.logo_panel.create_image(35, 35, image=self.img) self.orig_geo_frame = Tkinter.Frame(self.root, height=450, width=360, bg='#c1d0f0') self.orig_geo_frame.pack(side="left", padx=5, pady=5) self.orig_geo_frame.pack_propagate(0) - Tkinter.Label(self.orig_geo_frame, text="INPUT GEOMETRY", bg='#c1d0f0', font=("Arial", 20)).grid(row=0, column=0, padx=3, pady=3) - + Tkinter.Label(self.orig_geo_frame, text="INPUT GEOMETRY", bg='#c1d0f0', \ + font=("Arial", 20)).grid(row=0, column=0, padx=3, pady=3) + self.mod_geo_frame = Tkinter.Frame(self.root, height=450, width=360, bg='#80ff80', padx=5, pady=5) self.mod_geo_frame.pack(side="right", padx=5, pady=5) self.mod_geo_frame.pack_propagate(0) - Tkinter.Label(self.mod_geo_frame, text="OUTPUT GEOMETRY", bg='#80ff80', font=("Arial", 20)).grid(row=0, column=0, padx=3, pady=3) - + Tkinter.Label(self.mod_geo_frame, text="OUTPUT GEOMETRY", bg='#80ff80', \ + font=("Arial", 20)).grid(row=0, column=0, padx=3, pady=3) + code_frame = Tkinter.Frame(self.root, height=490, width=360, relief=Tkinter.GROOVE, borderwidth=1) code_frame.pack(padx=5, pady=5) code_frame.pack_propagate(0) # Buttons 1 - Tkinter.Button(code_frame, text ="Pick the geometry", command = self._chose_geometry).grid(row=0, column=0, padx=3, pady=3) - self.label_geo=Tkinter.Label(code_frame, textvariable=self.print_geometry_path, fg='red') + Tkinter.Button(code_frame, text="Pick the geometry", \ + command=self._chose_geometry).grid(row=0, column=0, padx=3, pady=3) + self.label_geo = Tkinter.Label(code_frame, textvariable=self.print_geometry_path, fg='red') self.print_geometry_path.set("No geometry chosen!") self.label_geo.grid(row=0, column=1, padx=3, pady=3) # Button 2 - Tkinter.Button(code_frame, text ="Pick the parameters", command = self._chose_parameters).grid(row=1, column=0, padx=3, pady=3) + Tkinter.Button(code_frame, text="Pick the parameters", \ + command=self._chose_parameters).grid(row=1, column=0, padx=3, pady=3) self.label_params = Tkinter.Label(code_frame, textvariable=self.print_parameter_path, fg='red') self.print_parameter_path.set("No parameters file chosen!") self.label_params.grid(row=1, column=1, padx=3, pady=3) # Entry Tkinter.Label(code_frame, text="Output geometry file").grid(row=2, column=0, padx=3, pady=3) - Tkinter.Entry(code_frame, bd =5, textvariable=self.outfilename).grid(row=2, column=1, padx=3, pady=3) + Tkinter.Entry(code_frame, bd=5, textvariable=self.outfilename).grid(row=2, column=1, \ + padx=3, pady=3) # Checkboxes - Tkinter.Checkbutton(code_frame, text = "Dump Original FFD lattice", variable = self.check_var_1, \ - onvalue = 1, offvalue = 0, height=3, \ - width = 20).grid(row=3, column=0) - Tkinter.Entry(code_frame, bd =5, textvariable=self.outfilename_lattice_orig).grid(row=3, column=1) + Tkinter.Checkbutton(code_frame, text="Dump Original FFD lattice", \ + variable=self.check_var_dump_orig, onvalue=1, offvalue=0, height=3, width=20).grid(row=3, \ + column=0) + Tkinter.Entry(code_frame, bd=5, textvariable=self.outfilename_lattice_orig).grid(row=3, column=1) - Tkinter.Checkbutton(code_frame, text = "Dump Morphed FFD lattice", variable = self.check_var_2, \ - onvalue = 1, offvalue = 0, height=3, \ - width = 20).grid(row=4, column=0) - Tkinter.Entry(code_frame, bd =5, textvariable=self.outfilename_lattice_mod).grid(row=4, column=1) - + Tkinter.Checkbutton(code_frame, text="Dump Morphed FFD lattice", \ + variable=self.check_var_dump_morphed, onvalue=1, offvalue=0, height=3, width=20).grid(row=4, \ + column=0) + Tkinter.Entry(code_frame, bd=5, textvariable=self.outfilename_lattice_mod).grid(row=4, column=1) + # Run button - Tkinter.Button(code_frame, text ="Run PyGeM", command = self._run_simulation, bg='#065893', fg='#f19625', \ - font='bold').grid(row=5, column=0, columnspan=2, padx=3, pady=3) + Tkinter.Button(code_frame, text="Run PyGeM", command=self._run_simulation, bg='#065893', \ + fg='#f19625', font='bold').grid(row=5, column=0, columnspan=2, padx=3, pady=3) # Menu menubar = Tkinter.Menu(self.root) - helpmenu = Tkinter.Menu(menubar, tearoff=0) helpmenu.add_command(label="About...", command=self._goto_website) menubar.add_cascade(label="Help", menu=helpmenu) @@ -209,6 +204,14 @@ def main(self): def start(self): - + """ + This method inizializes and starts the GUI. + """ + self._main() self.root.mainloop() + + +if __name__ == "__main__": + app = Gui() + app.start() diff --git a/start_gui.py b/start_gui.py index 8326ba4..87de27d 100644 --- a/start_gui.py +++ b/start_gui.py @@ -1,7 +1,4 @@ import pygem as pg interface = pg.gui.Gui() - -interface.main() - interface.start() diff --git a/tests/test_gui.py b/tests/test_gui.py index 584e3f9..99906c9 100644 --- a/tests/test_gui.py +++ b/tests/test_gui.py @@ -53,12 +53,12 @@ def test_gui_init_string_9(self): def test_gui_init_int_1(self): gui_handler = gui.Gui() - assert gui_handler.check_var_1.get() == 0 + assert gui_handler.check_var_dump_orig.get() == 0 def test_gui_init_int_2(self): gui_handler = gui.Gui() - assert gui_handler.check_var_2.get() == 0 + assert gui_handler.check_var_dump_morphed.get() == 0 def test_gui_init_none_1(self): @@ -90,13 +90,9 @@ def test_gui_init_none_6(self): gui_handler = gui.Gui() assert gui_handler.mod_geo_frame == None - - def test_gui_init_all(self): - gui.Gui() - def test_gui_main(self): interface = gui.Gui() - interface.main() + interface._main() From 2ac1b4d9bf6d8db4cc7e9a4408e60b2d6ec3123f Mon Sep 17 00:00:00 2001 From: Marco Tezzele Date: Tue, 2 Aug 2016 15:30:03 +0200 Subject: [PATCH 36/42] utility to plot rbf control points --- pygem/stlhandler.py | 6 ++--- pygem/utils.py | 56 ++++++++++++++++++++++++++++++++++++++------- tests/test_utils.py | 19 +++++++++++++-- 3 files changed, 68 insertions(+), 13 deletions(-) diff --git a/pygem/stlhandler.py b/pygem/stlhandler.py index ddac429..a64e41c 100644 --- a/pygem/stlhandler.py +++ b/pygem/stlhandler.py @@ -86,7 +86,7 @@ def plot(self, plot_file=None, save_fig=False): :param string plot_file: the stl filename you want to plot. :param bool save_fig: a flag to save the figure in png or not. If True the - plot is not shown. + plot is not shown. The default value is False. :return: figure: matlplotlib structure for the figure of the chosen geometry :rtype: matplotlib.pyplot.figure @@ -104,7 +104,7 @@ def plot(self, plot_file=None, save_fig=False): stl_mesh = mesh.Mesh.from_file(plot_file) axes.add_collection3d(mplot3d.art3d.Poly3DCollection(stl_mesh.vectors)) - ## Get the limits of the axis and center the geometry + # Get the limits of the axis and center the geometry max_dim = np.array([np.max(stl_mesh.vectors[:,:,0]), \ np.max(stl_mesh.vectors[:,:,1]), \ np.max(stl_mesh.vectors[:,:,2])]) @@ -123,5 +123,5 @@ def plot(self, plot_file=None, save_fig=False): else: figure.savefig(plot_file.split('.')[0] + '.png') - return figure + return figure diff --git a/pygem/utils.py b/pygem/utils.py index 61105eb..cceed3c 100644 --- a/pygem/utils.py +++ b/pygem/utils.py @@ -3,6 +3,8 @@ """ import vtk import numpy as np +import matplotlib.pyplot as plt + def write_bounding_box(parameters, outfile, write_deformed=True): """ @@ -32,29 +34,30 @@ def write_bounding_box(parameters, outfile, write_deformed=True): lattice_y_coords, lattice_x_coords, lattice_z_coords = np.meshgrid(aux_y, aux_x, aux_z) if write_deformed: - box_points = np.array([lattice_x_coords.ravel() + parameters.array_mu_x.ravel() * parameters.lenght_box_x,\ + box_points = np.array([ \ + lattice_x_coords.ravel() + parameters.array_mu_x.ravel() * parameters.lenght_box_x, \ lattice_y_coords.ravel() + parameters.array_mu_y.ravel() * parameters.lenght_box_y, \ lattice_z_coords.ravel() + parameters.array_mu_z.ravel() * parameters.lenght_box_z]) else: box_points = np.array([lattice_x_coords.ravel(), lattice_y_coords.ravel(), \ lattice_z_coords.ravel()]) - + n_rows = box_points.shape[1] box_points = np.dot(parameters.rotation_matrix, box_points) + \ np.transpose(np.tile(parameters.origin_box, (n_rows, 1))) - + # step necessary to set the correct order to the box points for vtkStructuredGrid: # Data in vtkStructuredGrid are ordered with x increasing fastest, then y, then z dims = lattice_y_coords.shape - aux_xx = box_points[0,:].reshape(dims).ravel(order='f') - aux_yy = box_points[1,:].reshape(dims).ravel(order='f') - aux_zz = box_points[2,:].reshape(dims).ravel(order='f') + aux_xx = box_points[0, :].reshape(dims).ravel(order='f') + aux_yy = box_points[1, :].reshape(dims).ravel(order='f') + aux_zz = box_points[2, :].reshape(dims).ravel(order='f') reordered_box_points = np.array((aux_xx, aux_yy, aux_zz)) _write_vtk_box(reordered_box_points, outfile, parameters.n_control_points) - - + + def _write_vtk_box(box_points, filename, dimensions): """ Private method that writes a vtk file containing FFD control points. @@ -91,3 +94,40 @@ def _write_vtk_box(box_points, filename, dimensions): writer.Write() + +def plot_rbf_control_points(parameters, save_fig=False): + """ + Method to plot the control points of a RBFParameters class. It is possible to save the + resulting figure. + + :param bool save_fig: a flag to save the figure in png or not. If True the + plot is not shown and the figure is saved with the name 'RBF_control_points.png'. + The default value is False. + """ + fig = plt.figure(1) + axes = fig.add_subplot(111, projection='3d') + orig = axes.scatter(parameters.original_control_points[:, 0], \ + parameters.original_control_points[:, 1], \ + parameters.original_control_points[:, 2], c='blue', marker='o') + defor = axes.scatter(parameters.deformed_control_points[:, 0], \ + parameters.deformed_control_points[:, 1], \ + parameters.deformed_control_points[:, 2], c='red', marker='x') + + axes.set_xlabel('X axis') + axes.set_ylabel('Y axis') + axes.set_zlabel('Z axis') + + plt.legend((orig, defor), \ + ('Original', 'Deformed'), \ + scatterpoints=1, \ + loc='lower left', \ + ncol=2, \ + fontsize=10) + + # Show the plot to the screen + if not save_fig: + plt.show() + else: + fig.savefig('RBF_control_points.png') + + \ No newline at end of file diff --git a/tests/test_utils.py b/tests/test_utils.py index 4cc6f65..998342d 100644 --- a/tests/test_utils.py +++ b/tests/test_utils.py @@ -18,7 +18,7 @@ def test_utils_write_original_box(self): outfilename = 'tests/test_datasets/box_test_sphere.vtk' - ut.write_bounding_box(params, outfilename, False) + ut.write_bounding_box(params, outfilename, write_deformed=False) os.remove(outfilename) @@ -42,7 +42,7 @@ def test_utils_check_vtk_original_box(self): else: outfilename_expected = 'tests/test_datasets/box_test_sphere_true_version6.vtk' - ut.write_bounding_box(params, outfilename, False) + ut.write_bounding_box(params, outfilename, write_deformed=False) self.assertTrue(filecmp.cmp(outfilename, outfilename_expected)) os.remove(outfilename) @@ -63,3 +63,18 @@ def test_utils_check_vtk_modified_box(self): self.assertTrue(filecmp.cmp(outfilename, outfilename_expected)) os.remove(outfilename) + + def test_utils_plot_rbf_control_points(self): + params = pars.RBFParameters() + params.read_parameters(filename='tests/test_datasets/parameters_rbf_cube.prm') + ut.plot_rbf_control_points(params, save_fig=False) + + + def test_utils_plot_rbf_control_points_save_fig(self): + params = pars.RBFParameters() + params.read_parameters(filename='tests/test_datasets/parameters_rbf_cube.prm') + ut.plot_rbf_control_points(params, save_fig=True) + self.assertTrue(os.path.isfile('RBF_control_points.png')) + os.remove('RBF_control_points.png') + + From 61fdaa6ebf6a3d22069135964fa00d48641fe6c4 Mon Sep 17 00:00:00 2001 From: sc-ita Date: Sun, 7 Aug 2016 21:30:03 +0200 Subject: [PATCH 37/42] unvhandler fixes and freeform performances improved (#91) * improved performance in freeform (~25%) * fixed bug and improved flexibility in unvhandler * new write comparison in unv tests --- pygem/freeform.py | 77 +++++++++++++++++++++---------------- pygem/unvhandler.py | 82 ++++++++++++++++++---------------------- tests/test_unvhandler.py | 8 +--- 3 files changed, 82 insertions(+), 85 deletions(-) diff --git a/pygem/freeform.py b/pygem/freeform.py index 81d2655..45176fe 100644 --- a/pygem/freeform.py +++ b/pygem/freeform.py @@ -67,8 +67,8 @@ class FFD(object): >>> original_mesh_points = np.load('tests/test_datasets/meshpoints_sphere_orig.npy') >>> free_form = ffd.FFD(ffd_parameters, original_mesh_points) >>> free_form.perform() - >>> new_mesh_points = free_form.modified_mesh_points - """ + >>> new_mesh_points = free_form.modified_mesh_points + """ def __init__(self, ffd_parameters, original_mesh_points): self.parameters = ffd_parameters self.original_mesh_points = original_mesh_points @@ -81,22 +81,31 @@ def perform(self): it sets `self.modified_mesh_points`. .. todo:: - In order to improve the performances, we need to perform the FFD only on the points inside - the lattice. - """ - (n_rows_mesh, n_cols_mesh) = self.original_mesh_points.shape + """ # translation and then affine transformation translation = self.parameters.origin_box - fisical_frame = np.array([self.parameters.position_vertex_1 - translation, \ - self.parameters.position_vertex_2 - translation, \ - self.parameters.position_vertex_3 - translation, \ - [0, 0, 0]]) + physical_frame = np.array([self.parameters.position_vertex_1 - translation, + self.parameters.position_vertex_2 - translation, + self.parameters.position_vertex_3 - translation, + [0, 0, 0]]) reference_frame = np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1], [0, 0, 0]]) - transformation = at.affine_points_fit(fisical_frame, reference_frame) - inverse_transformation = at.affine_points_fit(reference_frame, fisical_frame) + transformation = at.affine_points_fit(physical_frame, reference_frame) + inverse_transformation = at.affine_points_fit(reference_frame, physical_frame) + + # apply transformation to original mesh points + reference_frame_mesh_points = self._transform_points(self.original_mesh_points - translation, transformation) + + # select mesh points inside bounding box + mesh_points = reference_frame_mesh_points[(reference_frame_mesh_points[:,0] >= 0.) & + (reference_frame_mesh_points[:,0] <= 1.) & + (reference_frame_mesh_points[:,1] >= 0.) & + (reference_frame_mesh_points[:,1] <= 1.) & + (reference_frame_mesh_points[:,2] >= 0.) & + (reference_frame_mesh_points[:,2] <= 1.)] + (n_rows_mesh, n_cols_mesh) = mesh_points.shape # Initialization. In order to exploit the contiguity in memory the following are transposed (dim_n_mu, dim_m_mu, dim_t_mu) = self.parameters.array_mu_x.shape @@ -105,22 +114,19 @@ def perform(self): bernstein_z = np.zeros((dim_t_mu, n_rows_mesh)) shift_mesh_points = np.zeros((n_cols_mesh, n_rows_mesh)) - reference_frame_mesh_points = self._transform_points(self.original_mesh_points - translation, \ - transformation) - for i in range(0, dim_n_mu): - aux1 = np.power((1-reference_frame_mesh_points[:, 0]), dim_n_mu-1-i) - aux2 = np.power(reference_frame_mesh_points[:, 0], i) + aux1 = np.power((1-mesh_points[:, 0]), dim_n_mu-1-i) + aux2 = np.power(mesh_points[:, 0], i) bernstein_x[i, :] = special.binom(dim_n_mu-1, i) * np.multiply(aux1, aux2) for i in range(0, dim_m_mu): - aux1 = np.power((1-reference_frame_mesh_points[:, 1]), dim_m_mu-1-i) - aux2 = np.power(reference_frame_mesh_points[:, 1], i) + aux1 = np.power((1-mesh_points[:, 1]), dim_m_mu-1-i) + aux2 = np.power(mesh_points[:, 1], i) bernstein_y[i, :] = special.binom(dim_m_mu-1, i) * np.multiply(aux1, aux2) for i in range(0, dim_t_mu): - aux1 = np.power((1-reference_frame_mesh_points[:, 2]), dim_t_mu-1-i) - aux2 = np.power(reference_frame_mesh_points[:, 2], i) + aux1 = np.power((1-mesh_points[:, 2]), dim_t_mu-1-i) + aux2 = np.power(mesh_points[:, 2], i) bernstein_z[i, :] = special.binom(dim_t_mu-1, i) * np.multiply(aux1, aux2) @@ -138,18 +144,22 @@ def perform(self): shift_mesh_points[0, :] += aux_x shift_mesh_points[1, :] += aux_y shift_mesh_points[2, :] += aux_z - - # Splitting points inside and outside the lattice: TODO not very efficient - for i in range(0, n_rows_mesh): - if (reference_frame_mesh_points[i, 0] < 0) or (reference_frame_mesh_points[i, 1] < 0) \ - or (reference_frame_mesh_points[i, 2] < 0) or (reference_frame_mesh_points[i, 0] > 1) \ - or (reference_frame_mesh_points[i, 1] > 1) or (reference_frame_mesh_points[i, 2] > 1): - shift_mesh_points[:, i] = 0 - - # Here shift_mesh_points needs to be transposed to be summed with reference_frame_mesh_points - self.modified_mesh_points = self._transform_points(np.transpose(shift_mesh_points) + \ - reference_frame_mesh_points, inverse_transformation) + translation - + + # shift_mesh_points needs to be transposed to be summed with mesh_points + # apply inverse transformation to shifted mesh points + new_mesh_points = self._transform_points(np.transpose(shift_mesh_points) + + mesh_points, inverse_transformation) + \ + translation + + # merge non-shifted mesh points with shifted ones + self.modified_mesh_points = np.copy(self.original_mesh_points) + self.modified_mesh_points[(reference_frame_mesh_points[:,0] >= 0.) & + (reference_frame_mesh_points[:,0] <= 1.) & + (reference_frame_mesh_points[:,1] >= 0.) & + (reference_frame_mesh_points[:,1] <= 1.) & + (reference_frame_mesh_points[:,2] >= 0.) & + (reference_frame_mesh_points[:,2] <= 1.)] \ + = new_mesh_points @staticmethod def _transform_points(original_points, transformation): @@ -170,3 +180,4 @@ def _transform_points(original_points, transformation): modified_points[i, :] = transformation(original_points[i]) return modified_points + diff --git a/pygem/unvhandler.py b/pygem/unvhandler.py index 8262b4b..0f9af98 100644 --- a/pygem/unvhandler.py +++ b/pygem/unvhandler.py @@ -34,41 +34,26 @@ def parse(self, filename): self.infile = filename + index = -9 + mesh_points = [] with open(self.infile, 'r') as input_file: - nline = 0 - while True: - line = input_file.readline() - nline += 1 - if not line: - break - if line.startswith(' -1'): - section_id = input_file.readline().strip() - nline += 1 - if section_id == '2411': - count = 0 - while not input_file.readline().startswith(' -1'): - count += 1 - start_line = nline + 2 - last_line = start_line + count + for num, line in enumerate(input_file): + if line.startswith(' 2411'): + index = num + if num == index + 2: + if line.startswith(' -1'): + break else: - while not input_file.readline().startswith(' -1'): - nline += 1 - - n_points = count/2 - mesh_points = np.zeros(shape=(n_points, 3)) - - nline = 0 - i = 0 - with open(self.infile, 'r') as input_file: - for line in input_file: - nline += 1 - if nline % 2 == 1 and start_line < nline < last_line: - line = line.strip() - j = 0 - for number in line.split(): - mesh_points[i][j] = float(number) - j += 1 - i += 1 + line = line.replace('D', 'E') + l = [] + for t in line.split(): + try: + l.append(float(t)) + except ValueError: + pass + mesh_points.append(l) + index = num + mesh_points = np.array(mesh_points) return mesh_points @@ -89,16 +74,23 @@ def write(self, mesh_points, filename): self.outfile = filename - n_points = mesh_points.shape[0] - nrow = 0 + index = -9 i = 0 - with open(self.infile, 'r') as input_file, open(self.outfile, 'w') as output_file: - for line in input_file: - nrow += 1 - if nrow % 2 == 1 and 20 < nrow <= (20 + n_points * 2): - for j in range(0, 3): - output_file.write(' ' + str(mesh_points[i][j])) - output_file.write('\n') - i += 1 - elif nrow > 17: - output_file.write(line) + with open(self.outfile, 'w') as output_file: + with open(self.infile, 'r') as input_file: + for num, line in enumerate(input_file): + if line.startswith(' 2411'): + index = num + if num == index + 2: + if line.startswith(' -1'): + index = -9 + output_file.write(line) + else: + for j in range(0, 3): + output_file.write(3*' ' + '{:.16E}'.format(mesh_points[i][j])) + output_file.write('\n') + i += 1 + index = num + else: + output_file.write(line) + diff --git a/tests/test_unvhandler.py b/tests/test_unvhandler.py index 42f6b27..e6e99a3 100644 --- a/tests/test_unvhandler.py +++ b/tests/test_unvhandler.py @@ -116,15 +116,9 @@ def test_unv_write_outfile(self): def test_unv_write_comparison(self): unv_handler = uh.UnvHandler() mesh_points = unv_handler.parse('tests/test_datasets/test_square.unv') - mesh_points[0][0] = 2.2 - mesh_points[5][1] = 4.3 - mesh_points[9][2] = 0.5 - mesh_points[45][0] = 7.2 - mesh_points[132][1] = -1.2 - mesh_points[255][2] = -3.6 outfilename = 'tests/test_datasets/test_square_out.unv' - outfilename_expected = 'tests/test_datasets/test_square_out_true.unv' + outfilename_expected = 'tests/test_datasets/test_square.unv' unv_handler.write(mesh_points, outfilename) self.assertTrue(filecmp.cmp(outfilename, outfilename_expected)) From 1c6f850c8b765905deea8f0842dcc6f389578ad0 Mon Sep 17 00:00:00 2001 From: Marco Tezzele Date: Sun, 7 Aug 2016 16:10:26 +0200 Subject: [PATCH 38/42] tutorial for rbf and documentation --- docs/source/_tutorials/tutorial4rbf.html | 15203 +++++++++++++++++++++ docs/source/code.rst | 2 +- docs/source/conf.py | 2 +- docs/source/index.rst | 9 +- docs/source/{utilities.rst => utils.rst} | 3 +- pygem/utils.py | 1 + tutorials/tutorial-4-rbf.ipynb | 276 + 7 files changed, 15489 insertions(+), 7 deletions(-) create mode 100644 docs/source/_tutorials/tutorial4rbf.html rename docs/source/{utilities.rst => utils.rst} (71%) create mode 100644 tutorials/tutorial-4-rbf.ipynb diff --git a/docs/source/_tutorials/tutorial4rbf.html b/docs/source/_tutorials/tutorial4rbf.html new file mode 100644 index 0000000..1265f0d --- /dev/null +++ b/docs/source/_tutorials/tutorial4rbf.html @@ -0,0 +1,15203 @@ + + + +tutorial-4-rbf + + + + + + + + + + + + + + + + + + + + + +

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PyGeM

Tutorial 4: Radial Basis Functions interpolation technique on a cube

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In this tutorial we will show how to use the Radial Basis Functions interpolation technique to deform a cube.

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First of all we import the pygem package, numpy and we set matplotlib for the notebook.

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In [1]:
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%matplotlib inline
+import pygem as pg
+import numpy as np
+import matplotlib.pyplot as plt
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We need to read a parameters file. If does not exist the RBFParameters() class creates a default prm file that you have to edit for your problem specifications.

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params = pg.params.RBFParameters()
+params.read_parameters(filename='../tests/test_datasets/parameters_rbf_cube.prm')
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The following is the parameters file for this particular case. The Radial Basis Functions section describes the basis functions to use. Here we use Gaussian splines with the distance parameter equal to 0.5 (see the documentation of the RBF class for more details). As control points we consider the 8 vertices of the cube (the first one is not exactly the vertex), and we move 3 of them. In the Control points section there are all the coordinates of the control points.

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[Radial Basis Functions]
+# This section describes the radial basis functions shape.

+

# basis funtion is the name of the basis functions to use in the transformation. The functions
+# implemented so far are: gaussian_spline, multi_quadratic_biharmonic_spline,
+# inv_multi_quadratic_biharmonic_spline, thin_plate_spline, beckert_wendland_c2_basis.
+# For a comprehensive list with details see the class RBF.
+basis function: gaussian_spline

+

# radius is the scaling parameter r that affects the shape of the basis functions. See the documentation
+# of the class RBF for details.
+radius: 0.5

+

[Control points]
+# This section describes the RBF control points.

+

# original control points collects the coordinates of the interpolation control points before the deformation.
+original control points:  -.1   0.0   0.0
+                                     0.0   0.0   1.0
+                                     0.0   1.0   0.0
+                                     1.0   0.0   0.0
+                                     0.0   1      1.0
+                                     1.0   0.0   1.0
+                                     1.0   1.0   0
+                                     1.0   1.0   1.0

+

# deformed control points collects the coordinates of the interpolation control points after the deformation.
+deformed control points:  0.1   0.2     .3
+                                          0.0   0.0   1.0
+                                          0.0   1.0   0.0
+                                          1.0   0.0   0.0
+                                          0.0    .8    1.0
+                                          1.0   0.0   1.0
+                                          1.0   1.0   0.0
+                                          1.2   1.2   1.2

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Here we create a 10-by-10-by-10 lattice to mimic a cube.

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nx, ny, nz = (10, 10, 10)
+mesh = np.zeros((nx * ny * nz, 3))
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+xv = np.linspace(0, 1, nx)
+yv = np.linspace(0, 1, ny)
+zv = np.linspace(0, 1, nz)
+z, y, x = np.meshgrid(zv, yv, xv)
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+mesh = np.array([x.ravel(), y.ravel(), z.ravel()])
+mesh = mesh.T
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Now we plot the points to see what we are doing.

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fig = plt.figure(1)
+ax = fig.add_subplot(111, projection='3d')
+ax.scatter(mesh[:, 0], mesh[:, 1], mesh[:, 2], c='blue', marker='o')
+ax.set_xlabel('X axis')
+ax.set_ylabel('Y axis')
+ax.set_zlabel('Z axis')
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With the utils module we can also plot the original control points and the deformed ones.

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pg.utils.plot_rbf_control_points(params, save_fig=False)
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Finally we perform the RBF interpolation using the RBF class.

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rbf = pg.radial.RBF(params, mesh)
+rbf.perform()
+new_mesh_points = rbf.modified_mesh_points
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We can plot the new points in order to see the deformation. Try different basis functions and radii to better fit your specific problem.

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fig = plt.figure(2)
+ax = fig.add_subplot(111, projection='3d')
+ax.scatter(new_mesh_points[:, 0], new_mesh_points[:, 1], new_mesh_points[:, 2], c='red', marker='o')
+ax.set_xlabel('X axis')
+ax.set_ylabel('Y axis')
+ax.set_zlabel('Z axis')
+plt.show()
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+
+
+ + diff --git a/docs/source/code.rst b/docs/source/code.rst index 8e116eb..a0a5f3b 100644 --- a/docs/source/code.rst +++ b/docs/source/code.rst @@ -16,6 +16,6 @@ Code Documentation vtkhandler unvhandler igeshandler - utilities + utils gui diff --git a/docs/source/conf.py b/docs/source/conf.py index 0c0dfc6..e685593 100644 --- a/docs/source/conf.py +++ b/docs/source/conf.py @@ -80,7 +80,7 @@ # built documents. # # The short X.Y version. -version = '0.2' +version = '1.0' # The full version, including alpha/beta/rc tags. release = version diff --git a/docs/source/index.rst b/docs/source/index.rst index ec48720..77208bd 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -12,7 +12,7 @@ Python utilities for geometrical morphing. Description ^^^^^^^^^^^^ -PyGeM is a python library using Free Form Deformation to parametrize and morph complex geometries. It is ideally suited for actual industrial problems, since it allows to handle: +PyGeM is a python library using Free Form Deformation and Radial Basis Functions to parametrize and morph complex geometries. It is ideally suited for actual industrial problems, since it allows to handle: - Computer Aided Design files (in .iges and .stl formats) - Mesh files (in .unv and OpenFOAM formats) @@ -38,9 +38,10 @@ Tutorials We made some tutorial examples: -- `Tutorial 1 `_ shows how to deal with stl files -- `Turorial 2 `_ shows how to deal with iges files -- `Turorial 3 `_ shows how to deal with unv files and how to set the desired continuity to the geometry +- `Tutorial 1 `_ shows how to deal with stl files and FFD +- `Turorial 2 `_ shows how to deal with iges files and FFD +- `Turorial 3 `_ shows how to deal with unv files and how to set the desired continuity to the geometry using FFD +- `Turorial 4 `_ shows how to perform RBF interpolation diff --git a/docs/source/utilities.rst b/docs/source/utils.rst similarity index 71% rename from docs/source/utilities.rst rename to docs/source/utils.rst index e10d62b..d128a3d 100644 --- a/docs/source/utilities.rst +++ b/docs/source/utils.rst @@ -1,5 +1,6 @@ -Utilities +Utils ===================== .. automodule:: pygem.utils :members: + :private-members: diff --git a/pygem/utils.py b/pygem/utils.py index cceed3c..fa5a06e 100644 --- a/pygem/utils.py +++ b/pygem/utils.py @@ -100,6 +100,7 @@ def plot_rbf_control_points(parameters, save_fig=False): Method to plot the control points of a RBFParameters class. It is possible to save the resulting figure. + :param RBFParameters parameters: parameters of the Radial Basis Functions interpolation. :param bool save_fig: a flag to save the figure in png or not. If True the plot is not shown and the figure is saved with the name 'RBF_control_points.png'. The default value is False. diff --git a/tutorials/tutorial-4-rbf.ipynb b/tutorials/tutorial-4-rbf.ipynb new file mode 100644 index 0000000..836149b --- /dev/null +++ b/tutorials/tutorial-4-rbf.ipynb @@ -0,0 +1,276 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# PyGeM\n", + "## Tutorial 4: Radial Basis Functions interpolation technique on a cube" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this tutorial we will show how to use the Radial Basis Functions interpolation technique to deform a cube.\n", + "\n", + "First of all we import the pygem package, numpy and we set matplotlib for the notebook." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import pygem as pg\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We need to read a parameters file. If does not exist the RBFParameters() class creates a default prm file that you have to edit for your problem specifications." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [], + "source": [ + "params = pg.params.RBFParameters()\n", + "params.read_parameters(filename='../tests/test_datasets/parameters_rbf_cube.prm')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The following is the parameters file for this particular case. The Radial Basis Functions section describes the basis functions to use. Here we use Gaussian splines with the distance parameter equal to 0.5 (see the documentation of the RBF class for more details). As control points we consider the 8 vertices of the cube (the first one is not exactly the vertex), and we move 3 of them. In the Control points section there are all the coordinates of the control points.\n", + "\n", + "[Radial Basis Functions] \n", + "# This section describes the radial basis functions shape. \n", + " \n", + "# basis funtion is the name of the basis functions to use in the transformation. The functions \n", + "# implemented so far are: gaussian_spline, multi_quadratic_biharmonic_spline, \n", + "# inv_multi_quadratic_biharmonic_spline, thin_plate_spline, beckert_wendland_c2_basis. \n", + "# For a comprehensive list with details see the class RBF. \n", + "basis function: gaussian_spline \n", + "\n", + "# radius is the scaling parameter r that affects the shape of the basis functions. See the documentation \n", + "# of the class RBF for details. \n", + "radius: 0.5 \n", + " \n", + " \n", + "[Control points] \n", + "# This section describes the RBF control points. \n", + " \n", + "# original control points collects the coordinates of the interpolation control points before the deformation. \n", + "original control points:  -.1   0.0   0.0 \n", + "                                     0.0   0.0   1.0 \n", + "                                     0.0   1.0   0.0 \n", + "                                     1.0   0.0   0.0 \n", + "                                     0.0   1      1.0 \n", + "                                     1.0   0.0   1.0 \n", + "                                     1.0   1.0   0 \n", + "                                     1.0   1.0   1.0 \n", + " \n", + "# deformed control points collects the coordinates of the interpolation control points after the deformation. \n", + "deformed control points:  0.1   0.2     .3 \n", + "                                          0.0   0.0   1.0 \n", + "                                          0.0   1.0   0.0 \n", + "                                          1.0   0.0   0.0 \n", + "                                          0.0    .8    1.0 \n", + "                                          1.0   0.0   1.0 \n", + "                                          1.0   1.0   0.0 \n", + "                                          1.2   1.2   1.2 \n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we create a 10-by-10-by-10 lattice to mimic a cube." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "nx, ny, nz = (10, 10, 10)\n", + "mesh = np.zeros((nx * ny * nz, 3))\n", + "\n", + "xv = np.linspace(0, 1, nx)\n", + "yv = np.linspace(0, 1, ny)\n", + "zv = np.linspace(0, 1, nz)\n", + "z, y, x = np.meshgrid(zv, yv, xv)\n", + "\n", + "mesh = np.array([x.ravel(), y.ravel(), z.ravel()])\n", + "mesh = mesh.T" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we plot the points to see what we are doing." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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afP7i/Px81q9fT0ZGBnPmzKF79+58+OGH9O3b94y2cccddzB9+nRuvfXWBr9f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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(1)\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "ax.scatter(mesh[:, 0], mesh[:, 1], mesh[:, 2], c='blue', marker='o')\n", + "ax.set_xlabel('X axis')\n", + "ax.set_ylabel('Y axis')\n", + "ax.set_zlabel('Z axis')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With the utils module we can also plot the original control points and the deformed ones." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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fw9KlS3H77bejtrYWixcvRocOHfDiiy9ynTeXy2H27Nl455130L17d4wdOxaT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\nAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pg.utils.plot_rbf_control_points(params, save_fig=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally we perform the RBF interpolation using the RBF class." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "rbf = pg.radial.RBF(params, mesh)\n", + "rbf.perform()\n", + "new_mesh_points = rbf.modified_mesh_points" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can plot the new points in order to see the deformation. Try different basis functions and radii to better fit your specific problem." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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wuVykpKSg0+lYuWIFnlWreEytpthmY68gIHi9TA8LY+rrr9cQXRmVSlWjSHfa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\nITY2lmXLlvHUU09hNpv58MMPeeaZZ9i3b98ZramqKjNnzjxN7Obyyy8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NAAAg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\nfPb0AxwBAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(2)\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "ax.scatter(new_mesh_points[:, 0], new_mesh_points[:, 1], new_mesh_points[:, 2], c='red', marker='o')\n", + "ax.set_xlabel('X axis')\n", + "ax.set_ylabel('Y axis')\n", + "ax.set_zlabel('Z axis')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python [Root]", + "language": "python", + "name": "Python [Root]" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} From bdf5788f09332f837faff31373b215aab8a95122 Mon Sep 17 00:00:00 2001 From: fsalmoir Date: Fri, 26 Aug 2016 10:32:46 +0200 Subject: [PATCH 39/42] added link to youtube video tutorial --- README.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index b5fe824..850ca4e 100644 --- a/README.md +++ b/README.md @@ -15,10 +15,10 @@ By now, it has been used with meshes with up to 14 milions of cells. Try with mo See the **Examples** section below to have an idea of the potential of this package. -## Graphic Unit Interface -**PyGeM** is now provided with a very basic Graphic Unit Interface (GUI) that, in Ubuntu environment, looks like the one depicted below. This feature can be easily used even by the pythonists beginners with not much effort. Up to now, PyGeM GUI works on linux and Mac OS X computers. +## Graphical User Interface +**PyGeM** is now provided with a very basic Graphical User Interface (GUI) that, in Ubuntu environment, looks like the one depicted below. This feature can be easily used even by the pythonists beginners with not much effort. Up to now, PyGeM GUI works on linux and Mac OS X computers. -Pick the geometry, the parameters file, set the name of the output and decide whether dump the FFD lattices or not. Now just click on the `Run PyGeM` button and that is it. +Pick the geometry, the parameters file, set the name of the output and decide whether dump the FFD lattices or not. Now just click on the `Run PyGeM` button and that is it. For a demonstration, see the [video tutorial on YouTube](https://youtu.be/iAjGEhXs_ys).

From 2451a837e50b1a1f86eceae1487d4b152495adb3 Mon Sep 17 00:00:00 2001 From: fsalmoir Date: Fri, 26 Aug 2016 10:39:45 +0200 Subject: [PATCH 40/42] nautical example added --- README.md | 10 +++++++++- readme/scafoYZshift.gif | Bin 0 -> 1669987 bytes 2 files changed, 9 insertions(+), 1 deletion(-) create mode 100644 readme/scafoYZshift.gif diff --git a/README.md b/README.md index 850ca4e..b72006a 100644 --- a/README.md +++ b/README.md @@ -92,13 +92,21 @@ Contact us by email for further information or questions about **PyGeM**, or sug ## Examples You can find useful tutorials on how to use the package in the `tutorials` folder. -Here we show two applications, taken from the **naval** and **automotive** engineering fields. On the other hand, the provided tutorials are related to easier geometries. +Here we show three applications, taken from the **naval**, **nautical** and **automotive** engineering fields. On the other hand, the provided tutorials are related to easier geometries.

DTMB-5415 hull: morphing of the bulbous bow starting from an industrial .iges CAD file.

+ +

+ +

+

+MCY hull: morphing of the exhaust gasses devices starting from an industrial .stl file. +

+

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zcXBDWaxM3AF=;n*HFtA4w{t!Bb3r$BMR#=HBymkwaZfjOQFnD!w{=rThbT@Z-cXxfacY*hJg*SMKcX*Arc#-#bl{a~rcX^$+d7<}tr8j!1cY3Y2 zda?Ind GasWHZhl67P literal 0 HcmV?d00001 From 6f300f3ed4c7405a9beb46df98ee3a219f540dc0 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Wed, 21 Sep 2016 16:27:51 +0200 Subject: [PATCH 41/42] add dockerfiles --- .travis.yml | 25 +++++++-- dockerfiles/Dockerfile | 86 +++++++++++++++++++++++++++++ dockerfiles/docker-run | 2 + dockerfiles/set-home-permissions.sh | 17 ++++++ 4 files changed, 126 insertions(+), 4 deletions(-) create mode 100644 dockerfiles/Dockerfile create mode 100755 dockerfiles/docker-run create mode 100644 dockerfiles/set-home-permissions.sh diff --git a/.travis.yml b/.travis.yml index 55da4db..1784906 100644 --- a/.travis.yml +++ b/.travis.yml @@ -1,6 +1,11 @@ - +sudo: true +#Required for docker build +dist: trusty language: python +services: + - docker + matrix: include: - os: linux @@ -35,6 +40,14 @@ before_install: - conda update -q conda # Useful for debugging any issues with conda - conda info -a + # Install with docker only with linux in travis + - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then + cd dockerfiles/base; + docker build --tag=pygem-base:phusion .; + cd ../dev-env-base; + docker build --tag=pygem-dev-env:phusion .; + cd ../..; + fi install: - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then @@ -51,9 +64,13 @@ install: - pip install coveralls - pip install coverage - python setup.py install - -script: coverage run test.py - + +script: + - coverage run test.py + # Docker in travis works only with linux. + - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then + docker run -u root pygem-dev-env:phusion /bin/sh -c "cd /home/PyGeM/build/PyGeM; coverage run test.py"; + fi after_success: - coveralls diff --git a/dockerfiles/Dockerfile b/dockerfiles/Dockerfile new file mode 100644 index 0000000..f67b9c9 --- /dev/null +++ b/dockerfiles/Dockerfile @@ -0,0 +1,86 @@ +FROM phusion/baseimage:0.9.19 + +# Get Ubuntu updates +USER root +RUN apt-get update -q && \ + apt-get upgrade -y -o Dpkg::Options::="--force-confold" && \ + apt-get -y install sudo && \ + apt-get -y install locales && \ + echo "C.UTF-8 UTF-8" > /etc/locale.gen && \ + locale-gen && \ + rm -rf /var/lib/apt/lists/* /tmp/* /var/tmp/* + +# Set locale environment +ENV LC_ALL=C.UTF-8 \ + LANG=C.UTF-8 \ + LANGUAGE=C.UTF-8 + +# OpenBLAS threads should be 1 to ensure performance +RUN echo 1 > /etc/container_environment/OPENBLAS_NUM_THREADS && \ + echo 0 > /etc/container_environment/OPENBLAS_VERBOSE + + +# Set up user so that we do not run as root +RUN useradd -m -s /bin/bash -G sudo,docker_env PyGeM && \ + echo "PyGeM:docker" | chpasswd && \ + echo "PyGeM ALL=(ALL) NOPASSWD: ALL" >> /etc/sudoers + +RUN touch /etc/service/syslog-forwarder/down +COPY set-home-permissions.sh /etc/my_init.d/set-home-permissions.sh +RUN chmod +x /etc/my_init.d/set-home-permissions.sh + +USER PyGeM +ENV HOME /home/PyGeM +RUN touch $HOME/.sudo_as_admin_successful && \ + mkdir $HOME/shared && \ + mkdir $HOME/build +VOLUME /home/PyGeM/shared + +WORKDIR /home/PyGeM +ENTRYPOINT ["sudo","/sbin/my_init","--quiet","--","sudo","-u","PyGeM","/bin/bash","-l","-c"] +CMD ["/bin/bash","-i"] + +# utilities and libraries +USER root +RUN apt-get update -y; apt-get install -y --force-yes --fix-missing --no-install-recommends curl git unzip tree subversion vim cmake bison g++ gfortran openmpi-bin pkg-config wget libpcre3-dev bison flex swig libglu1-mesa pyqt4-dev-tools +RUN apt-get clean && \ + rm -rf /var/lib/apt/lists/* /tmp/* /var/tmp/* + +RUN id PyGeM +RUN chown -R PyGeM:PyGeM $HOME + +RUN cd /tmp && \ + wget https://repo.continuum.io/miniconda/Miniconda-latest-Linux-x86_64.sh -O miniconda.sh && \ + chmod +x miniconda.sh && \ + bash miniconda.sh -b -p /usr/local/miniconda && \ + rm /tmp/* +ENV PATH=/usr/local/miniconda/bin:$PATH + +RUN echo "PATH=/usr/local/miniconda/bin:$PATH" >> ~/.profile +RUN /bin/bash -c 'source ~/.profile' + +RUN hash -r && \ + conda config --set always_yes yes --set changeps1 no && \ + conda update -q conda +RUN conda info -a && \ + conda create --yes -n test python="2.7"; + +RUN /bin/bash -c 'source activate test' +# The default sip version has api that is not compatible with qt4. +RUN conda install --yes numpy scipy matplotlib pip nose vtk sip=4.18 +RUN conda install --yes -c https://conda.anaconda.org/dlr-sc pythonocc-core &&\ + pip install setuptools && \ + pip install enum34 && \ + pip install numpy-stl && \ + pip install coveralls && \ + pip install coverage + +RUN cd $HOME && \ + cd build && \ + git clone https://github.com/mathLab/PyGeM.git && \ + cd PyGeM && \ + python setup.py install + +USER PyGeM + + diff --git a/dockerfiles/docker-run b/dockerfiles/docker-run new file mode 100755 index 0000000..98dd158 --- /dev/null +++ b/dockerfiles/docker-run @@ -0,0 +1,2 @@ +#!/bin/bash +docker run -ti --rm -e DISPLAY=$DISPLAY -v /tmp/.X11-unix:/tmp/.X11-unix docker.io/pygemdocker/pygem-dev-env:latest diff --git a/dockerfiles/set-home-permissions.sh b/dockerfiles/set-home-permissions.sh new file mode 100644 index 0000000..7e3c6d8 --- /dev/null +++ b/dockerfiles/set-home-permissions.sh @@ -0,0 +1,17 @@ +#!/bin/bash +# User can pass e.g. --env HOST_UID=1003 so that UID in the container matches +# with the UID on the host. This is useful for Linux users, Mac and Windows +# already do transparent mapping of shared volumes. +if [ "$HOST_UID" ]; then + usermod -u $HOST_UID PyGeM +fi +if [ "$HOST_GID" ]; then + groupmod -g $HOST_GID PyGeM +fi +# This makes sure that all files in /home/fenics are accessible by the user +# fenics. We exclude the folder ~/shared to reduce IO out to the host. Docker +# for Mac, Docker for Windows and the UID/GID trick above should mean that file +# permissions work seamlessly now. +cd /home/PyGeM +find . -maxdepth 1 | grep -v "./shared" | xargs chown -R PyGeM:PyGeM + From ba79d92323e908dac03756146ddbb8afcbf2f5d1 Mon Sep 17 00:00:00 2001 From: davide baroli Date: Mon, 10 Oct 2016 15:59:05 +0200 Subject: [PATCH 42/42] update travis.yml with docker running; update README.md --- .travis.yml | 12 ++---------- README.md | 28 ++++++++++++++++++++++++++++ dockerfiles/docker-run | 2 -- 3 files changed, 30 insertions(+), 12 deletions(-) delete mode 100755 dockerfiles/docker-run diff --git a/.travis.yml b/.travis.yml index 1784906..025335e 100644 --- a/.travis.yml +++ b/.travis.yml @@ -40,14 +40,6 @@ before_install: - conda update -q conda # Useful for debugging any issues with conda - conda info -a - # Install with docker only with linux in travis - - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then - cd dockerfiles/base; - docker build --tag=pygem-base:phusion .; - cd ../dev-env-base; - docker build --tag=pygem-dev-env:phusion .; - cd ../..; - fi install: - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then @@ -56,7 +48,7 @@ install: conda create --yes -n test python="2.7"; fi - source activate test - - conda install --yes numpy scipy matplotlib pip nose vtk + - conda install --yes numpy scipy matplotlib pip nose vtk sip=4.18 - conda install --yes -c https://conda.anaconda.org/dlr-sc pythonocc-core - pip install setuptools - pip install enum34 @@ -69,7 +61,7 @@ script: - coverage run test.py # Docker in travis works only with linux. - if [[ "$TRAVIS_OS_NAME" == "linux" ]]; then - docker run -u root pygem-dev-env:phusion /bin/sh -c "cd /home/PyGeM/build/PyGeM; coverage run test.py"; + docker run -u root docker.io/pygemdocker/pygem:latest /bin/sh -c "cd /home/PyGeM/build/PyGeM; coverage run test.py"; fi after_success: - coveralls diff --git a/README.md b/README.md index b72006a..8552cef 100644 --- a/README.md +++ b/README.md @@ -58,6 +58,34 @@ To uninstall the package you have to rerun the installation and record the insta > cat installed_files.txt | xargs rm -rf ``` +Alternatively, a way to run the PyGeM library is to use our prebuilt and high-performance Docker images. +Docker containers are extremely lightweight, secure, and are based on open standards that run on all major Linux distributions, macOS and Microsoft Windows platforms. + +Install Docker for your platform by following [these instructions](https://docs.docker.com/engine/getstarted/step_one/). +If using the Docker Toolbox (macOS versions < 10.10 or Windows versions < 10), make sure you run all commands inside the Docker Quickstart Terminal. + +Now we will pull the docker.io/pygemdocker/pygem image from our cloud infrastructure: +```bash +> docker pull docker.io/pygemdocker/pygem:latest +``` +Docker will pull the latest tag of the image pygemdocker/pygem from docker.io. The download is around 3.246 GB. The image is a great place to start experimenting with PyGeM and includes all dependencies already compiled for you. +Once the download is complete you can start PyGeM for the first time. Just run: +```bash +> docker run -ti pygemdocker/pygem:latest +``` +To facilitate the devoloping, using the text editor,version control and other tools already installed on your computers, +it is possible to share files from the host into the container: + +```bash +> docker run -ti -v $(pwd):/home/PyGeM/shared pygemdocker/pygem:latest +``` +To allow the X11 forwarding in the container, on Linux system just run: + +```bash +> docker run -ti --rm -e DISPLAY=$DISPLAY -v /tmp/.X11-unix:/tmp/.X11-unix -v $(pwd):/home/PyGeM/shared pygemdocker/pygem:latest +``` + +For Windows system, you need to install Cygwin/X version and running the command in Cygwin terminal. While for mac system, you need to install xquartz. ## Documentation **PyGeM** uses [Sphinx](http://www.sphinx-doc.org/en/stable/) for code documentation. To build the html versions of the docs simply: diff --git a/dockerfiles/docker-run b/dockerfiles/docker-run deleted file mode 100755 index 98dd158..0000000 --- a/dockerfiles/docker-run +++ /dev/null @@ -1,2 +0,0 @@ -#!/bin/bash -docker run -ti --rm -e DISPLAY=$DISPLAY -v /tmp/.X11-unix:/tmp/.X11-unix docker.io/pygemdocker/pygem-dev-env:latest

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