Fix test error

This reverts commit 9dbc125598.

.gitlab-ci.yml

@@ -22,7 +22,7 @@ include:
 # the "needs" keyword and express the DAG of jobs for more efficiency.
 # - We use setup and setup_baseline phases to download content outside of mfem
 #   directory.
-# - Allocate/Release is where ruby resource are allocated/released once for all.
+# - Allocate/Release is where quartz resource are allocated/released once for all.
 # - Build and Test is where we build and MFEM for multiple toolchains.
 # - Baseline_checks gathers baseline-type test suites execution
 # - Baseline_publish, only available on master, allows to update baseline
@@ -53,7 +53,7 @@ variables:
   AUTOTEST_COMMIT: "YES"
 
 # Trigger subpipelines:
-ruby-build-and-test:
+quartz-build-and-test:
   stage: sub-pipelines
   variables:
     # Explicitly pass down values that we want to be able to set when triggering
@@ -61,10 +61,10 @@ ruby-build-and-test:
     AUTOTEST: "${AUTOTEST}"
     AUTOTEST_COMMIT: "${AUTOTEST_COMMIT}"
   trigger:
-    include: .gitlab/ruby-build-and-test.yml
+    include: .gitlab/quartz-build-and-test.yml
     strategy: depend
 
-ruby-baseline:
+quartz-baseline:
   stage: sub-pipelines
   variables:
     # Explicitly pass down values that we want to be able to set when triggering
@@ -73,7 +73,7 @@ ruby-baseline:
     AUTOTEST: "${AUTOTEST}"
     AUTOTEST_COMMIT: "${AUTOTEST_COMMIT}"
   trigger:
-    include: .gitlab/ruby-baseline.yml
+    include: .gitlab/quartz-baseline.yml
     strategy: depend
 
 lassen-build-and-test:

.gitlab/README.md

@@ -24,7 +24,7 @@ and `test type`.
 
 Machines typically include:
 
-* Ruby: 2nd Gen Intel Xeon (Cascade Lake)
+* Quartz: Intel bi-socket x86
 * Lassen: Power9 + Nvidia GPU
 * Corona: AMD GPU
 
@@ -76,13 +76,13 @@ with a spack spec of MFEM, within the limits permitted by the MFEM spack
 package.
 
 In any build-and-test sub-pipeline a job basically consists in defining the
-spack spec to use. Adding a job on ruby for example resumes to:
+spack spec to use. Adding a job on quartz for example resumes to:
 
 ```yaml
 <job_name>:
   variables:
     SPEC: "<spack_spec>"
-  extends: .build_and_test_on_ruby
+  extends: .build_and_test_on_quartz
 ```
 
 The remaining and non trivial work is to make sure this spec is working. To

.gitlab/configs/common.yml

@@ -24,7 +24,7 @@ variables:
 # TODO: add a clean-up mechanism
   BUILD_ROOT: ${USER_CI_TOP_DIR}/${CI_PROJECT_NAME}-${MACHINE_NAME}-pipeline-${CI_PIPELINE_ID}
 
-# On LLNL's ruby, there is only one allocation shared among jobs in order to
+# On LLNL's quartz, there is only one allocation shared among jobs in order to
 # save time and resource. This allocation has to be uniquely named so that we
 # are sure to retrieve it.
   ALLOC_NAME: ${CI_PROJECT_NAME}_ci_${CI_PIPELINE_ID}

.gitlab/configs/quartz-config.yml

@@ -9,17 +9,17 @@
 # terms of the BSD-3 license. We welcome feedback and contributions, see file
 # CONTRIBUTING.md for details.
 
-# GitLab pipelines configurations for the Ruby machine at LLNL
+# GitLab pipelines configurations for the Quartz machine at LLNL
 variables:
-  MACHINE_NAME: ruby
+  MACHINE_NAME: quartz
 
-.on_ruby:
+.on_quartz:
   tags:
     - shell
-    - ruby
+    - quartz
   rules:
-    # Don't run ruby jobs if...
-    - if: '$CI_COMMIT_BRANCH =~ /_qnone/ || $ON_RUBY == "OFF"'
+    # Don't run quartz jobs if...
+    - if: '$CI_COMMIT_BRANCH =~ /_qnone/ || $ON_QUARTZ == "OFF"'
       when: never
     # Don't run autotest update if...
     - if: '$CI_JOB_NAME =~ /report/ && $AUTOTEST != "YES"'
@@ -40,13 +40,13 @@ variables:
     - when: on_success
 
 # Spack helped builds
-# Generic ruby build job, extending build script
-.build_and_test_on_ruby:
-  extends: [.on_ruby]
+# Generic quartz build job, extending build script
+.build_and_test_on_quartz:
+  extends: [.on_quartz]
   stage: build_and_test
   script:
     # THREADS is used by 'tests/gitlab/build_and_test', run below
-    - export THREADS=16
+    - export THREADS=12
     - echo ${ALLOC_NAME}
     - export JOBID=$(squeue -h --name=${ALLOC_NAME} --format=%A)
     - echo ${JOBID}

.gitlab/configs/setup-baseline.yml

@@ -18,7 +18,7 @@
 setup_baseline:
   tags:
     - shell
-    - ruby
+    - quartz
   stage: setup
   variables:
     GIT_STRATEGY: none

.gitlab/configs/setup-build-and-test.yml

@@ -16,7 +16,7 @@
 setup:
   tags:
     - shell
-    - ruby
+    - quartz
   stage: setup
   variables:
     GIT_STRATEGY: none

.gitlab/quartz-baseline.yml

@@ -19,8 +19,8 @@ stages:
   - cleanup
   - baseline_publish
 
-baselinecheck_mfem_intel_ruby:
-  extends: [.on_ruby]
+baselinecheck_mfem_intel_quartz:
+  extends: [.on_quartz]
   stage: baseline_check
   variables:
     # TPLS_DIR is used in .gitlab/scripts/baseline to provide the tpls location
@@ -32,7 +32,7 @@ baselinecheck_mfem_intel_ruby:
     - echo ${BUILD_ROOT}
     - echo ${TPLS_DIR}
     # Used by the tests in MFEM/tests:
-    - export MFEM_TEST_NP=48
+    - export MFEM_TEST_NP=32
     # The next script uses the following environment variables:
     # * BASELINE_TEST, SYS_TYPE, CI_PROJECT_DIR, ARTIFACTS_DIR,
     # * BUILD_ROOT, TPLS_DIR, MACHINE_NAME
@@ -44,16 +44,18 @@ baselinecheck_mfem_intel_ruby:
   allow_failure: true
 
 cleanup:
-  extends: .on_ruby
+  extends: .on_quartz
   stage: cleanup
   variables:
     GIT_STRATEGY: none
   script:
     - echo "BUILD_ROOT=${BUILD_ROOT}"
     - rm -rf "${BUILD_ROOT}" || true
+    - echo "CI_PROJECT_DIR=${CI_PROJECT_DIR}"
+    - make -C "${CI_PROJECT_DIR}" distclean
 
 report_baseline:
-  extends: [.on_ruby]
+  extends: [.on_quartz]
   stage: baseline_report
   script:
     - echo ${MACHINE_NAME}
@@ -113,8 +115,8 @@ report_baseline:
         exit $err
       ) 9> autotest.lock
 
-baselinepublish_mfem_ruby:
-  extends: [.on_ruby]
+baselinepublish_mfem_quartz:
+  extends: [.on_quartz]
   stage: baseline_publish
   rules:
     # - if: '$CI_COMMIT_BRANCH == "master" || $REBASELINE == "YES"'
@@ -129,5 +131,5 @@ baselinepublish_mfem_ruby:
 
 include:
   - local: .gitlab/configs/common.yml
-  - local: .gitlab/configs/ruby-config.yml
+  - local: .gitlab/configs/quartz-config.yml
   - local: .gitlab/configs/setup-baseline.yml

.gitlab/quartz-build-and-test.yml

@@ -19,54 +19,54 @@ stages:
 allocate_resource:
   variables:
     GIT_STRATEGY: none
-  extends: .on_ruby
+  extends: .on_quartz
   stage: allocate_resource
   script:
     - echo ${ALLOC_NAME}
     - salloc --exclusive --nodes=1 --reservation=ci --time=60 --no-shell --job-name=${ALLOC_NAME}
   timeout: 6h
 
-# GitLab jobs for the Ruby machine at LLNL
+# GitLab jobs for the Quartz machine at LLNL
 debug_ser_gcc_10:
   variables:
     SPEC: "%gcc@10.3.1 +debug~mpi"
-  extends: .build_and_test_on_ruby
+  extends: .build_and_test_on_quartz
 
 debug_par_gcc_10:
   variables:
     SPEC: "%gcc@10.3.1 +debug+mpi"
-  extends: .build_and_test_on_ruby
+  extends: .build_and_test_on_quartz
 
 opt_ser_gcc_10:
   variables:
     SPEC: "%gcc@10.3.1 ~mpi"
-  extends: .build_and_test_on_ruby
+  extends: .build_and_test_on_quartz
 
 opt_par_gcc_10:
   variables:
     SPEC: "%gcc@10.3.1"
-  extends: .build_and_test_on_ruby
+  extends: .build_and_test_on_quartz
 
 opt_par_gcc_10_sundials:
   variables:
     SPEC: "%gcc@10.3.1 +sundials"
-  extends: .build_and_test_on_ruby
+  extends: .build_and_test_on_quartz
 
 opt_par_gcc_10_petsc:
   variables:
     SPEC: "%gcc@10.3.1 +petsc ^petsc+mumps~superlu-dist"
-  extends: .build_and_test_on_ruby
+  extends: .build_and_test_on_quartz
 
 opt_par_gcc_10_pumi:
   variables:
     SPEC: "%gcc@10.3.1 +pumi"
-  extends: .build_and_test_on_ruby
+  extends: .build_and_test_on_quartz
 
 # Release
 release_resource:
   variables:
     GIT_STRATEGY: none
-  extends: .on_ruby
+  extends: .on_quartz
   stage: release_resource_and_report
   script:
     - echo ${ALLOC_NAME}
@@ -78,17 +78,17 @@ release_resource:
 report_job_success:
   stage: release_resource_and_report
   extends:
-    - .on_ruby
+    - .on_quartz
     - .report_job_success
 
 report_job_failure:
   stage: release_resource_and_report
   extends:
-    - .on_ruby
+    - .on_quartz
     - .report_job_failure
 
 include:
   - local: .gitlab/configs/common.yml
-  - local: .gitlab/configs/ruby-config.yml
+  - local: .gitlab/configs/quartz-config.yml
   - local: .gitlab/configs/setup-build-and-test.yml
   - local: .gitlab/configs/report-build-and-test.yml

.gitlab/scripts/baseline

@@ -14,7 +14,7 @@
 # locals
 glob_err=${BASELINE_TEST}.err
 base=${BASELINE_TEST}-${SYS_TYPE}
-if [[ "${MACHINE_NAME}" == "ruby" ]]; then
+if [[ "${MACHINE_NAME}" == "quartz" ]]; then
   base="${BASELINE_TEST}-${MACHINE_NAME}"
 fi
 base_diff=${base}.diff
@@ -31,8 +31,8 @@ cd tests
 mkdir _${BASELINE_TEST} && cd _${BASELINE_TEST}
 
 # run
-if [[ "${MACHINE_NAME}" == "ruby" ]]; then
-  salloc --nodes=1 --exclusive --reservation=ci ../runtest ../../mfem "${BASELINE_TEST} ${TPLS_DIR}"
+if [[ "${MACHINE_NAME}" == "quartz" || "${MACHINE_NAME}" == "ruby" ]]; then
+  salloc --nodes=1 --reservation=ci ../runtest ../../mfem "${BASELINE_TEST} ${TPLS_DIR}"
 elif [[ ${MACHINE_NAME} == "corona" ]]; then
   salloc --nodes=1 -t 60 -p pbatch ../runtest ../../mfem "${BASELINE_TEST} ${TPLS_DIR}"
 elif [[ ${MACHINE_NAME} == "lassen" ]]; then
@@ -41,11 +41,11 @@ else
   echo "Unknown machine: MACHINE_NAME=$MACHINE_NAME"
   exit 1
 fi
-status="$?"
 
 # post
 mkdir ${artifacts_path}
 
+status=0
 if [[ -f ${BASELINE_TEST}.out ]]; then
   cp ${BASELINE_TEST}.out ${artifacts_path}
 fi

.gitlab/scripts/rebaseline

@@ -11,7 +11,7 @@
 # terms of the BSD-3 license. We welcome feedback and contributions, see file
 # CONTRIBUTING.md for details.
 
-# There will be collision between corona and ruby baselines.
+# There will be collision between corona and quartz baselines.
 # Once the corresponding files have been generated, we can switch to machine
 # specific ref.
 ARTIFACT_PATH=${CI_PROJECT_DIR}/${ARTIFACTS_DIR}/baseline-${SYS_TYPE}
@@ -21,7 +21,7 @@ PATCH_FILE=${ARTIFACT_PATH}.patch
 FULL_FILE=${ARTIFACT_PATH}.out
 DIFF_FILE=${ARTIFACT_PATH}.diff
 
-# There will be collision between corona and ruby baselines.
+# There will be collision between corona and quartz baselines.
 # Once the corresponding files have been generated, we can switch to machine
 # specific ref.
 SAVED_NAME=baseline-${SYS_TYPE}.saved

CHANGELOG

@@ -11,46 +11,14 @@
 Version 4.7.1 (development)
 ===========================
 
-Discretization improvements
----------------------------
-- Added NURBS-based H(div) and H(curl) elements in 2D and 3D. Only on single
+- Added NURBS-based H(div) and H(curl) elements in 2D and 3D. Only on single 
   patch meshes. Only implemented for serial computations.
 
-- Added support for boundary constraints to the hybridization class.
-
-Meshing improvements
---------------------
-- The ExodusII reader now handles pyramid and wedge element types. Mixed meshes
-  are also supported.
-
-New and updated examples and miniapps
--------------------------------------
 - Added miniapps to demonstrate the H(div) and H(curl) NURBS elements.
 
 - Added an MFEM example for the eikonal equation. This new solver is based on
   the proximal Galerkin method introduced by Keith and Surowiec.
 
-GPU computing
--------------
-- Added support for GPU-accelerated batched linear algebra (using cuBLAS,
-  hipBLAS, MAGMA, or native MFEM functionality) through the BatchedLinAlg class.
-
-Miscellaneous
--------------
-- Refactored the `ARKStepSolver` class (ARKODE interface) to use
-  `TimeDependentOperator::Mult` only when the associated ODE operator is
-  expressed in explicit form (i.e., `TimeDependentOperator::isExplicit()`),
-  otherwise `TimeDependentOperator::ExplicitMult` is used. A check has been
-  added to `ARKStepSolver` to verify that the associated ODE operator is not in
-  explicit form when a mass matrix solver is enabled via a call to either the
-  `UseMFEMMassLinearSolver` or `UseSundialsMassLinearSolver` methods. This is
-  because enabling a mass matrix solver assumes that F(u,k,t) = M k in the
-  associated ODE operator.
-
-- Added support for custom interpolation procedure in FindPointsGSLIB.
-
-API changes
------------
 - API change: in class GridFunction, 'fec' was renamed to 'fec_owned'.
 
 
@@ -77,9 +45,6 @@ Meshing improvements
 
 - Added support for internal boundary elements in nonconforming meshes.
 
-- Added ExodusII output capability. The writer can handle first-order (Pyramid5,
-  Wedge6, Hex8, Tet4) and second-order FE types (Pyramid14, Wedge18, Hex27, Tet10).
-
 - The ReadCubit Genesis mesh importer has been rewritten to improve readability.
 
 Discretization improvements

CMakeLists.txt

@@ -146,9 +146,7 @@ if (MFEM_USE_CUDA)
    set(CMAKE_CUDA_FLAGS "${CMAKE_CUDA_FLAGS} ${CUDA_FLAGS}")
    find_package(CUDAToolkit REQUIRED)
    set(CUSPARSE_FOUND TRUE)
-   set(CUBLAS_FOUND TRUE)
    get_target_property(CUSPARSE_LIBRARIES CUDA::cusparse LOCATION)
-   get_target_property(CUBLAS_LIBRARIES CUDA::cublas LOCATION)
 endif()
 
 if (XSDK_ENABLE_C)
@@ -233,7 +231,6 @@ if (MFEM_USE_HIP)
     list(INSERT CMAKE_PREFIX_PATH 0 ${ROCM_PATH})
   endif()
   find_package(HIP REQUIRED)
-  find_package(HIPBLAS REQUIRED)
   find_package(HIPSPARSE REQUIRED)
 endif()
 
@@ -399,10 +396,6 @@ if (MFEM_USE_AMGX)
   find_package(AMGX REQUIRED)
 endif()
 
-if (MFEM_USE_MAGMA)
-  find_package(MAGMA REQUIRED)
-endif()
-
 if (MFEM_USE_CONDUIT)
     find_package(Conduit REQUIRED conduit relay blueprint)
 endif()
@@ -522,10 +515,7 @@ endif()
 
 # Enzyme
 if (MFEM_USE_ENZYME)
-    find_package(Enzyme REQUIRED HINTS ${ENZYME_DIR})
-    message(STATUS "Enzyme found in ${ENZYME_DIR}.")
-    set(ENZYME_INCLUDE_DIRS ${ENZYME_DIR}/include)
-    set(ENZYME_FOUND 1)
+   find_package(ENZYME REQUIRED)
 endif()
 
 # MFEM_TIMER_TYPE
@@ -567,9 +557,8 @@ find_package(Threads REQUIRED)
 set(MFEM_TPLS OPENMP HYPRE LAPACK BLAS SuperLUDist STRUMPACK METIS SuiteSparse
     SUNDIALS PETSC SLEPC MUMPS AXOM FMS CONDUIT Ginkgo GNUTLS GSLIB
     NETCDF MPFR PUMI HIOP POSIXCLOCKS MFEMBacktrace ZLIB OCCA CEED RAJA UMPIRE
-    ADIOS2 MKL_CPARDISO MKL_PARDISO AMGX MAGMA CUSPARSE CUBLAS CALIPER CODIPACK
-    BENCHMARK PARELAG TRIBOL MPI_CXX HIP HIPBLAS HIPSPARSE MOONOLITH BLITZ
-    ALGOIM ENZYME)
+    ADIOS2 CUSPARSE MKL_CPARDISO MKL_PARDISO AMGX CALIPER CODIPACK
+    BENCHMARK PARELAG TRIBOL MPI_CXX HIP HIPSPARSE MOONOLITH BLITZ ALGOIM ENZYME)
 
 # Add all *_FOUND libraries in the variable TPL_LIBRARIES.
 set(TPL_LIBRARIES "")
@@ -632,11 +621,6 @@ set(MFEM_INSTALL_DIR ${CMAKE_INSTALL_PREFIX} CACHE PATH
 mfem_add_library(mfem ${SOURCES} ${HEADERS} ${MASTER_HEADERS})
 # message(STATUS "TPL_LIBRARIES = ${TPL_LIBRARIES}")
 target_link_libraries(mfem PUBLIC ${TPL_LIBRARIES})
-
-if (MFEM_USE_ENZYME)
-  target_link_libraries(mfem PUBLIC ClangEnzymeFlags)
-endif()
-
 if (MINGW)
   target_link_libraries(mfem PRIVATE ws2_32)
 endif()
@@ -689,7 +673,7 @@ if (NOT ("${PROJECT_SOURCE_DIR}" STREQUAL "${PROJECT_BINARY_DIR}"))
 #include \"${PROJECT_SOURCE_DIR}/${Header}\"
 ")
 
-    execute_process(COMMAND ${CMAKE_COMMAND} -E copy_if_different
+    execute_process(COMMAND ${CMAKE_COMMAND} -E copy_if_different 
       "${PROJECT_BINARY_DIR}/${Header}.tmp"
       "${PROJECT_BINARY_DIR}/${Header}"
     )
@@ -703,7 +687,7 @@ if (NOT ("${PROJECT_SOURCE_DIR}" STREQUAL "${PROJECT_BINARY_DIR}"))
 #include \"mfem/${Header}\"
 ")
 
-    execute_process(COMMAND ${CMAKE_COMMAND} -E copy_if_different
+    execute_process(COMMAND ${CMAKE_COMMAND} -E copy_if_different 
       "${PROJECT_BINARY_DIR}/InstallHeaders/${Header}.tmp"
       "${PROJECT_BINARY_DIR}/InstallHeaders/${Header}"
     )

INSTALL

@@ -273,13 +273,7 @@ Installation options:
    PREFIX  - Specify the installation directory. The library (libmfem.a) will be
              installed in $(PREFIX)/lib, the headers in $(PREFIX)/include, and
              the configuration makefile (config.mk) in $(PREFIX)/share/mfem.
-   INSTALL - Specify the install program, default = /usr/bin/install
-   INSTALL_DEF_PERM - Specify the default install permissions. This affects
-                      headers and configuration makefiles, default = 644
-   INSTALL_BIN_PERM - Specify the install permissions for binaries. This only
-                      affects the shared version of the library, default = 755
-   INSTALL_DIR_PERM - Specify the install permissions for directories and,
-                      on macOS/BSD, for symlinks as well, default = 755
+   INSTALL - Specify the install program, e.g /usr/bin/install
 
 MFEM library features/options (GNU make)
 ----------------------------------------
@@ -394,11 +388,6 @@ MFEM_USE_AMGX = YES/NO
    Allows the user to use SparseMatrices and HypreParMatrices to solve linear
    systems with the routines from the AmgX library.
 
-MFEM_USE_MAGMA = YES/NO
-   Enable MFEM functionality based on the MAGMA high-performance linear algebra
-   library. The MAGMA library provides a BLAS/LAPACK interface, with
-   implementations that have been optimized for Nvidia and AMD GPUs.
-
 MFEM_USE_GNUTLS = YES/NO
    Enable secure socket support in class socketstream, using the auxiliary
    GnuTLS_* classes, based on the GnuTLS library. This option may be useful in
@@ -710,11 +699,6 @@ The specific libraries and their options are:
   Options: AMGX_OPT, AMGX_LIB.
   Versions: AmgX >= 2.1, older versions may work too.
 
-- MAGMA (optional), used with MFEM_USE_MAGMA = YES.
-  URL: https://icl.utk.edu/magma/
-  Options: MAGMA_OPT, MAGMA_LIB
-  Versions: MAGMA >= 2.8.0
-
 - GnuTLS (optional), used when MFEM_USE_GNUTLS = YES. On most Linux systems,
   GnuTLS is available as a development package, e.g. gnutls-devel. On Mac OS X,
   one can get the library through the Homebrew package manager (http://brew.sh).

config/cmake/MFEMConfig.cmake.in

@@ -37,7 +37,6 @@ set(MFEM_USE_MUMPS @MFEM_USE_MUMPS@)
 set(MFEM_USE_STRUMPACK @MFEM_USE_STRUMPACK@)
 set(MFEM_USE_GINKGO @MFEM_USE_GINKGO@)
 set(MFEM_USE_AMGX @MFEM_USE_AMGX@)
-set(MFEM_USE_MAGMA @MFEM_USE_MAGMA@)
 set(MFEM_USE_HIOP @MFEM_USE_HIOP@)
 set(MFEM_USE_GNUTLS @MFEM_USE_GNUTLS@)
 set(MFEM_USE_GSLIB @MFEM_USE_GSLIB@)

config/cmake/config.hpp.in

@@ -114,9 +114,6 @@
 // Enable MFEM functionality based on the AmgX library.
 #cmakedefine MFEM_USE_AMGX
 
-// Enable MFEM functionality based on the MAGMA library.
-#cmakedefine MFEM_USE_MAGMA
-
 // Enable secure socket streams based on the GNUTLS library.
 #cmakedefine MFEM_USE_GNUTLS
 

config/cmake/modules/FindENZYME.cmake

@@ -0,0 +1,27 @@
+# Copyright (c) 2010-2024, Lawrence Livermore National Security, LLC. Produced
+# at the Lawrence Livermore National Laboratory. All Rights reserved. See files
+# LICENSE and NOTICE for details. LLNL-CODE-806117.
+#
+# This file is part of the MFEM library. For more information and source code
+# availability visit https://mfem.org.
+#
+# MFEM is free software; you can redistribute it and/or modify it under the
+# terms of the BSD-3 license. We welcome feedback and contributions, see file
+# CONTRIBUTING.md for details.
+
+message(STATUS "Looking for ENZYME ...")
+message(STATUS "   in ENZYME_DIR = ${ENZYME_DIR}")
+
+# Make sure the directory and version combination works. Do nothing otherwise.
+if(EXISTS "${ENZYME_DIR}/ClangEnzyme-${ENZYME_VERSION}.so")
+  message(STATUS "Found ENZYME: ${ENZYME_DIR}/ClangEnzyme-${ENZYME_VERSION}.so")
+
+  # Set ENZYME_FOUND
+  set(ENZYME_FOUND TRUE CACHE BOOL "ENZYME was found." FORCE)
+
+  # Set CXX flags to accommodate the Enzyme Clang plugin
+  set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Xclang -load -Xclang ${ENZYME_DIR}/ClangEnzyme-${ENZYME_VERSION}.so -mllvm -enzyme-loose-types=1")
+  set(MFEM_USE_ENZYME YES)
+else()
+
+endif()

config/cmake/modules/FindMAGMA.cmake

@@ -1,37 +0,0 @@
-# Copyright (c) 2010-2024, Lawrence Livermore National Security, LLC. Produced
-# at the Lawrence Livermore National Laboratory. All Rights reserved. See files
-# LICENSE and NOTICE for details. LLNL-CODE-806117.
-#
-# This file is part of the MFEM library. For more information and source code
-# availability visit https://mfem.org.
-#
-# MFEM is free software; you can redistribute it and/or modify it under the
-# terms of the BSD-3 license. We welcome feedback and contributions, see file
-# CONTRIBUTING.md for details.
-
-# Defines the following variables:
-#   - MAGMA_FOUND
-#   - MAGMA_LIBRARIES
-#   - MAGMA_INCLUDE_DIRS
-
-include(MfemCmakeUtilities)
-mfem_find_package(MAGMA MAGMA MAGMA_DIR "include" "magma.h" "lib" "magma"
-  "Paths to headers required by MAGMA." "Libraries required by MAGMA.")
-
-if (MAGMA_FOUND AND MFEM_USE_CUDA)
-  get_target_property(CUSPARSE_LIBRARIES CUDA::cusparse LOCATION)
-  get_target_property(CUBLAS_LIBRARIES CUDA::cublas LOCATION)
-  list(APPEND MAGMA_LIBRARIES ${CUSPARSE_LIBRARIES} ${CUBLAS_LIBRARIES})
-  set(MAGMA_LIBRARIES ${MAGMA_LIBRARIES} CACHE STRING
-      "MAGMA libraries + dependencies." FORCE)
-  message(STATUS "Updated MAGMA_LIBRARIES: ${MAGMA_LIBRARIES}")
-endif()
-
-if (MAGMA_FOUND AND MFEM_USE_HIP)
-  find_package(HIPBLAS REQUIRED)
-  find_package(HIPSPARSE REQUIRED)
-  list(APPEND MAGMA_LIBRARIES ${HIPBLAS_LIBRARIES} ${HIPSPARSE_LIBRARIES})
-  set(MAGMA_LIBRARIES ${MAGMA_LIBRARIES} CACHE STRING
-      "MAGMA libraries + dependencies." FORCE)
-  message(STATUS "Updated MAGMA_LIBRARIES: ${MAGMA_LIBRARIES}")
-endif()

config/cmake/modules/MfemCmakeUtilities.cmake

@@ -846,14 +846,14 @@ function(mfem_export_mk_files)
       MFEM_USE_ZLIB MFEM_USE_LIBUNWIND MFEM_USE_LAPACK MFEM_THREAD_SAFE
       MFEM_USE_LEGACY_OPENMP MFEM_USE_OPENMP MFEM_USE_MEMALLOC MFEM_USE_SUNDIALS
       MFEM_USE_SUITESPARSE MFEM_USE_SUPERLU MFEM_USE_SUPERLU5 MFEM_USE_MUMPS
-      MFEM_USE_STRUMPACK MFEM_USE_GINKGO MFEM_USE_AMGX MFEM_USE_MAGMA
-      MFEM_USE_GNUTLS MFEM_USE_NETCDF MFEM_USE_PETSC MFEM_USE_SLEPC
-      MFEM_USE_MPFR MFEM_USE_SIDRE MFEM_USE_FMS MFEM_USE_CONDUIT MFEM_USE_PUMI
-      MFEM_USE_HIOP MFEM_USE_GSLIB MFEM_USE_CUDA MFEM_USE_HIP MFEM_USE_RAJA
-      MFEM_USE_OCCA MFEM_USE_CEED MFEM_USE_CALIPER MFEM_USE_UMPIRE MFEM_USE_SIMD
-      MFEM_USE_ADIOS2 MFEM_USE_MKL_CPARDISO MFEM_USE_MKL_PARDISO
-      MFEM_USE_ADFORWARD MFEM_USE_CODIPACK MFEM_USE_BENCHMARK MFEM_USE_PARELAG
-      MFEM_USE_TRIBOL MFEM_USE_MOONOLITH MFEM_USE_ALGOIM MFEM_USE_ENZYME)
+      MFEM_USE_STRUMPACK MFEM_USE_GINKGO MFEM_USE_AMGX MFEM_USE_GNUTLS
+      MFEM_USE_NETCDF MFEM_USE_PETSC MFEM_USE_SLEPC MFEM_USE_MPFR MFEM_USE_SIDRE
+      MFEM_USE_FMS MFEM_USE_CONDUIT MFEM_USE_PUMI MFEM_USE_HIOP MFEM_USE_GSLIB
+      MFEM_USE_CUDA MFEM_USE_HIP MFEM_USE_RAJA MFEM_USE_OCCA MFEM_USE_CEED
+      MFEM_USE_CALIPER MFEM_USE_UMPIRE MFEM_USE_SIMD MFEM_USE_ADIOS2
+      MFEM_USE_MKL_CPARDISO MFEM_USE_MKL_PARDISO MFEM_USE_ADFORWARD
+      MFEM_USE_CODIPACK MFEM_USE_BENCHMARK MFEM_USE_PARELAG MFEM_USE_TRIBOL
+      MFEM_USE_MOONOLITH MFEM_USE_ALGOIM MFEM_USE_ENZYME)
   foreach(var ${CONFIG_MK_BOOL_VARS})
     if (${var})
       set(${var} YES)

config/config.hpp.in

@@ -114,9 +114,6 @@
 // Enable MFEM functionality based on the AmgX library.
 // #define MFEM_USE_AMGX
 
-// Enable MFEM functionality based on the MAGMA library.
-// #define MFEM_USE_MAGMA
-
 // Enable secure socket streams based on the GNUTLS library.
 // #define MFEM_USE_GNUTLS
 

config/config.mk.in

@@ -38,7 +38,6 @@ MFEM_USE_MUMPS         = @MFEM_USE_MUMPS@
 MFEM_USE_STRUMPACK     = @MFEM_USE_STRUMPACK@
 MFEM_USE_GINKGO        = @MFEM_USE_GINKGO@
 MFEM_USE_AMGX          = @MFEM_USE_AMGX@
-MFEM_USE_MAGMA         = @MFEM_USE_MAGMA@
 MFEM_USE_GNUTLS        = @MFEM_USE_GNUTLS@
 MFEM_USE_NETCDF        = @MFEM_USE_NETCDF@
 MFEM_USE_PETSC         = @MFEM_USE_PETSC@

config/defaults.cmake

@@ -40,7 +40,6 @@ option(MFEM_USE_MUMPS "Enable MUMPS usage" OFF)
 option(MFEM_USE_STRUMPACK "Enable STRUMPACK usage" OFF)
 option(MFEM_USE_GINKGO "Enable Ginkgo usage" OFF)
 option(MFEM_USE_AMGX "Enable AmgX usage" OFF)
-option(MFEM_USE_MAGMA "Enable MAGMA usage" OFF)
 option(MFEM_USE_GNUTLS "Enable GNUTLS usage" OFF)
 option(MFEM_USE_GSLIB "Enable GSLIB usage" OFF)
 option(MFEM_USE_NETCDF "Enable NETCDF usage" OFF)
@@ -184,10 +183,6 @@ set(Ginkgo_DIR "${MFEM_DIR}/../ginkgo" CACHE PATH "Path to the Ginkgo library.")
 
 set(AMGX_DIR "${MFEM_DIR}/../amgx" CACHE PATH "Path to AmgX")
 
-set(MAGMA_DIR "${MFEM_DIR}/../magma" CACHE PATH "Path to MAGMA")
-set(MAGMA_REQUIRED_PACKAGES "BLAS" "LAPACK" CACHE STRING
-    "Additional packages required by MAGMA.")
-
 set(GNUTLS_DIR "" CACHE PATH "Path to the GnuTLS library.")
 
 set(GSLIB_DIR "" CACHE PATH "Path to the GSLIB library.")
@@ -264,7 +259,7 @@ set(PARELAG_LIBRARIES "${PARELAG_DIR}/build/src/libParELAG.a" CACHE STRING
     "The ParELAG library.")
 
 set(TRIBOL_DIR "${MFEM_DIR}/../tribol" CACHE PATH "Path to Tribol")
-set(Tribol_REQUIRED_PACKAGES "Axom/core/mint/slam/slic" CACHE STRING
+set(Tribol_REQUIRED_PACKAGES "Axom/core/mint/slam/slic" CACHE STRING 
     "Additional packages required by Tribol")
 
 set(BLAS_INCLUDE_DIRS "" CACHE STRING "Path to BLAS headers.")

config/defaults.mk

@@ -95,10 +95,6 @@ else
    # Silence unused command line argument warnings when generating dependencies
    # with mpicxx and clang
    DEP_FLAGS := -Wno-unused-command-line-argument $(DEP_FLAGS)
-   # Silence "ignoring duplicate libraries" warnings on new (Xcode 15) linker
-   ifneq (,$(findstring PROJECT:dyld,$(shell ld -v 2>&1)))
-      LDFLAGS_INTERNAL = -Xlinker -no_warn_duplicate_libraries
-   endif
 endif
 
 # Set CXXFLAGS to overwrite the default selection of DEBUG_FLAGS/OPTIM_FLAGS
@@ -143,7 +139,6 @@ MFEM_USE_MUMPS         = NO
 MFEM_USE_STRUMPACK     = NO
 MFEM_USE_GINKGO        = NO
 MFEM_USE_AMGX          = NO
-MFEM_USE_MAGMA         = NO
 MFEM_USE_GNUTLS        = NO
 MFEM_USE_NETCDF        = NO
 MFEM_USE_PETSC         = NO
@@ -395,11 +390,6 @@ AMGX_DIR = @MFEM_DIR@/../amgx
 AMGX_OPT = -I$(AMGX_DIR)/include
 AMGX_LIB = -L$(AMGX_DIR)/lib -lamgx -lcusparse -lcusolver -lcublas -lnvToolsExt
 
-# MAGMA library configuration
-MAGMA_DIR = @MFEM_DIR@/../magma
-MAGMA_OPT = -I$(MAGMA_DIR)/include
-MAGMA_LIB = -L$(MAGMA_DIR)/lib -l:libmagma.a -lcublas -lcusparse $(LAPACK_LIB)
-
 # GnuTLS library configuration
 GNUTLS_OPT =
 GNUTLS_LIB = -lgnutls
@@ -507,11 +497,11 @@ GSLIB_LIB = -L$(GSLIB_DIR)/lib -lgs
 
 # CUDA library configuration
 CUDA_OPT =
-CUDA_LIB = -lcusparse -lcublas
+CUDA_LIB = -lcusparse
 
 # HIP library configuration
 HIP_OPT =
-HIP_LIB = -L$(HIP_DIR)/lib $(XLINKER)-rpath,$(HIP_DIR)/lib -lhipsparse -lhipblas
+HIP_LIB = -L$(HIP_DIR)/lib $(XLINKER)-rpath,$(HIP_DIR)/lib -lhipsparse
 
 # OCCA library configuration
 OCCA_DIR = @MFEM_DIR@/../occa

data/skewed-square.mesh

@@ -1,35 +0,0 @@
-MFEM mesh v1.0
-
-#
-# MFEM Geometry Types (see mesh/geom.hpp):
-#
-# POINT       = 0
-# SEGMENT     = 1
-# TRIANGLE    = 2
-# SQUARE      = 3
-# TETRAHEDRON = 4
-# CUBE        = 5
-# PRISM       = 6
-#
-
-dimension
-2
-
-elements
-1
-1 3 0 1 2 3
-
-boundary
-4
-1 1 0 1
-2 1 1 2
-3 1 2 3
-4 1 3 0
-
-vertices
-4
-2
-0 0
-1 0.3
-1.4 1.2
-0.25 1.34

doc/CodeDocumentation.conf.in

@@ -938,7 +938,6 @@ INPUT                  = @MFEM_SOURCE_DIR@/doc/CodeDocumentation.dox \
                          @MFEM_SOURCE_DIR@/config \
                          @MFEM_SOURCE_DIR@/general \
                          @MFEM_SOURCE_DIR@/linalg \
-                         @MFEM_SOURCE_DIR@/linalg/batched \
                          @MFEM_SOURCE_DIR@/linalg/simd \
                          @MFEM_SOURCE_DIR@/mesh \
                          @MFEM_SOURCE_DIR@/mesh/submesh \
@@ -981,6 +980,7 @@ INPUT                  = @MFEM_SOURCE_DIR@/doc/CodeDocumentation.dox \
                          @MFEM_SOURCE_DIR@/miniapps/mtop \
                          @MFEM_SOURCE_DIR@/miniapps/multidomain \
                          @MFEM_SOURCE_DIR@/miniapps/navier \
+                         @MFEM_SOURCE_DIR@/miniapps/stabilized \
                          @MFEM_SOURCE_DIR@/miniapps/nurbs \
                          @MFEM_SOURCE_DIR@/miniapps/parelag \
                          @MFEM_SOURCE_DIR@/miniapps/performance \

examples/CMakeLists.txt

@@ -50,27 +50,6 @@ list(APPEND ALL_EXE_SRCS
 
 if (MFEM_USE_MPI)
   list(APPEND ALL_EXE_SRCS
-    dfem_poisson.cpp
-    dfem_stokes.cpp
-    enzyme_interface_smoketest.cpp
-    test_dfem_dual.cpp
-    test_dfem.cpp
-    dfem_laghos.cpp
-    dfem_minimal_example.cpp
-    dfem_test_diffusion_2d.cpp
-    dfem_test_diffusion_3d.cpp
-    dfem_test_ordering.cpp
-    dfem_test_vector_diffusion.cpp
-    dfem_test_elasticity.cpp
-    dfem_test_nonlinear_elasticity_3d.cpp
-    dfem_test_nonlinear_diffusion_3d.cpp
-    dfem_test_interpolate_linear_scalar.cpp
-    dfem_test_interpolate_linear_scalar_3d.cpp
-    dfem_test_interpolate_gradient_linear_scalar_3d.cpp
-    dfem_test_mass_scalar_3d.cpp
-    dfem_test_mass_scalar_2d.cpp
-    dfem_test_interpolate_linear_vector.cpp
-    dfem_test_interpolate_linear_vector_3d.cpp
     ex0p.cpp
     ex1p.cpp
     ex2p.cpp
@@ -131,16 +110,6 @@ include_directories(BEFORE ${PROJECT_BINARY_DIR})
 # Add one executable per cpp file
 add_mfem_examples(ALL_EXE_SRCS)
 
-target_link_libraries(dfem_poisson ClangEnzymeFlags)
-target_link_libraries(dfem_stokes ClangEnzymeFlags)
-target_link_libraries(enzyme_interface_smoketest ClangEnzymeFlags)
-target_link_libraries(test_dfem ClangEnzymeFlags)
-target_link_libraries(dfem_laghos ClangEnzymeFlags)
-target_link_libraries(dfem_minimal_example ClangEnzymeFlags)
-target_link_libraries(dfem_test_diffusion_3d ClangEnzymeFlags)
-target_link_libraries(dfem_test_nonlinear_diffusion_3d ClangEnzymeFlags)
-target_link_libraries(dfem_test_nonlinear_elasticity_3d ClangEnzymeFlags)
-
 # Add a test for each example
 if (MFEM_ENABLE_TESTING)
   foreach(SRC_FILE ${ALL_EXE_SRCS})

examples/amgx/makefile

@@ -12,10 +12,11 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
-MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/amgx/,)
-CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
-   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
+CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
+# Use the MFEM install directory
+# MFEM_INSTALL_DIR = ../../mfem
+# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/caliper/makefile

@@ -12,10 +12,11 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
-MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/caliper,)
-CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
-   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
+CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
+# Use the MFEM install directory
+# MFEM_INSTALL_DIR = ../../mfem
+# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/dfem/dfem.hpp

@@ -1,3 +0,0 @@
-#pragma once
-
-#include "dfem_differentiable_operator.hpp"

examples/dfem/dfem_action_callback.icc

@@ -1,232 +0,0 @@
-template <
-   typename kernels_tuple,
-   size_t num_solutions,
-   size_t num_parameters,
-   size_t num_fields,
-   size_t num_kernels
-   >
-template <
-   typename kernel_t
-   >
-void DifferentiableOperator<kernels_tuple,
-     num_solutions,
-     num_parameters,
-     num_fields,
-     num_kernels>::Action::create_action_callback(
-        kernel_t kernel,
-        mult_func_t &func)
-{
-   using entity_t = typename kernel_t::entity_t;
-
-   auto kinput_to_field = create_descriptors_to_fields_map<entity_t>(op.fields,
-                                                                     kernel.inputs, std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto koutput_to_field = create_descriptors_to_fields_map<entity_t>(op.fields,
-                                                                      kernel.outputs, std::make_index_sequence<kernel.num_koutputs> {});
-
-   constexpr int hardcoded_output_idx = 0;
-   const int test_space_field_idx = koutput_to_field[hardcoded_output_idx];
-
-   const Operator *R = get_restriction<entity_t>(op.fields[test_space_field_idx],
-                                                 element_dof_ordering);
-
-   auto output_fop = mfem::get<hardcoded_output_idx>(kernel.outputs);
-
-   const int num_elements = GetNumEntities<Entity::Element>(op.mesh);
-   const int num_entities = GetNumEntities<entity_t>(op.mesh);
-   const int num_qp = op.integration_rule.GetNPoints();
-
-   // All solutions T-vector sizes make up the width of the operator, since
-   // they are explicitly provided in Mult() for example.
-
-   op.width = GetTrueVSize(op.fields[test_space_field_idx]);
-   op.residual_lsize = GetVSize(op.fields[test_space_field_idx]);
-
-   if constexpr (std::is_same_v<decltype(output_fop), One>)
-   {
-      op.height = 1;
-   }
-   else
-   {
-      op.height = op.residual_lsize;
-   }
-
-   residual_l.SetSize(op.residual_lsize);
-
-   // assume only a single element type for now
-   std::vector<const DofToQuad*> dtq;
-   for (const auto &field : op.fields)
-   {
-      dtq.emplace_back(GetDofToQuad<entity_t>(field, op.integration_rule,
-                                              doftoquad_mode));
-   }
-   const int q1d = (int)floor(pow(num_qp, 1.0/op.mesh.Dimension()) + 0.5);
-
-   residual_e.SetSize(R->Height());
-
-   const int residual_size_on_qp = GetSizeOnQP<entity_t>(
-                                      mfem::get<hardcoded_output_idx>(kernel.outputs),
-                                      op.fields[test_space_field_idx]);
-
-   auto input_dtq_maps = create_dtq_maps<entity_t>(kernel.inputs, dtq,
-                                                   kinput_to_field);
-   auto output_dtq_maps = create_dtq_maps<entity_t>(kernel.outputs, dtq,
-                                                    koutput_to_field);
-
-   auto input_fops = create_bare_fops(kernel.inputs);
-   auto output_fops = create_bare_fops(kernel.outputs);
-
-   const int test_vdim = mfem::get<hardcoded_output_idx>(output_fops).vdim;
-   const int test_op_dim =
-      mfem::get<hardcoded_output_idx>(output_fops).size_on_qp /
-      mfem::get<hardcoded_output_idx>(output_fops).vdim;
-   const int num_test_dof = R->Height() /
-                            mfem::get<hardcoded_output_idx>(output_fops).vdim /
-                            num_entities;
-
-   auto ir_weights = Reshape(this->op.integration_rule.GetWeights().Read(),
-                             num_qp);
-
-   auto input_size_on_qp = get_input_size_on_qp(kernel.inputs,
-                                                std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto shmem_info = get_shmem_info<entity_t>(input_dtq_maps,
-                                              output_dtq_maps,
-                                              op.fields,
-                                              num_entities,
-                                              kernel.inputs,
-                                              num_qp,
-                                              input_size_on_qp,
-                                              residual_size_on_qp);
-
-   Vector shmem_cache(shmem_info.total_size);
-
-   print_shared_memory_info(shmem_info);
-
-   func = [=](Vector &ye_mem) mutable
-   {
-      restriction<entity_t>(op.solutions, solutions_l, this->fields_e,
-                            op.element_dof_ordering);
-      restriction<entity_t>(op.parameters, parameters_l, this->fields_e,
-                            op.element_dof_ordering,
-                            op.solutions.size());
-
-      auto ye = Reshape(ye_mem.ReadWrite(), test_vdim, num_test_dof, num_entities);
-      auto wrapped_fields_e = wrap_fields(this->fields_e, shmem_info.field_sizes, num_entities);
-
-      forall([=] MFEM_HOST_DEVICE (int e, void *shmem)
-      {
-         // printf("\ne: %d\n", e);
-         // tic();
-         auto input_dtq_shmem = load_dtq_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::INPUT_DTQ],
-            shmem_info.input_dtq_sizes,
-            input_dtq_maps);
-
-         auto output_dtq_shmem = load_dtq_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::OUTPUT_DTQ],
-            shmem_info.output_dtq_sizes,
-            output_dtq_maps);
-
-         auto fields_shmem = load_field_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::FIELD],
-            shmem_info.field_sizes,
-            kinput_to_field,
-            wrapped_fields_e,
-            e);
-
-         // These methods don't copy, they simply create a `DeviceTensor` object
-         // that points to correct chunks of the shared memory pool.
-         auto input_shmem = load_input_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::INPUT],
-            shmem_info.input_sizes,
-            num_qp);
-
-         auto residual_shmem = load_residual_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::OUTPUT],
-            shmem_info.residual_size,
-            num_qp);
-
-         auto scratch_mem = load_scratch_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::TEMP],
-            shmem_info.temp_sizes);
-
-         MFEM_SYNC_THREAD;
-         // printf("shmem load elapsed: %.1fus\n", toc() * 1e6);
-
-         // tic();
-         map_fields_to_quadrature_data<TensorProduct>(
-            input_shmem, fields_shmem, input_dtq_shmem, input_fops, ir_weights, scratch_mem,
-         std::make_index_sequence<kernel.num_kinputs> {});
-         // printf("interpolate elapsed: %.1fus\n", toc() * 1e6);
-
-         // tic();
-         MFEM_FOREACH_THREAD(qx, x, q1d)
-         {
-            MFEM_FOREACH_THREAD(qy, y, q1d)
-            {
-               MFEM_FOREACH_THREAD(qz, z, q1d)
-               {
-                  const int q = qx + q1d * (qy + q1d * qz);
-                  auto kernel_args = decay_tuple<typename kernel_t::kf_param_ts> {};
-                  auto r = Reshape(&residual_shmem(0, q), residual_size_on_qp);
-                  apply_kernel(r, kernel.func, kernel_args, input_shmem, q);
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-         // printf("qf elapsed: %.1fus\n", toc() * 1e6);
-
-         // tic();
-         auto fhat = Reshape(&residual_shmem(0, 0), test_vdim, test_op_dim, num_qp);
-         auto y = Reshape(&ye(0, 0, e), num_test_dof, test_vdim);
-         map_quadrature_data_to_fields<TensorProduct>(y, fhat,
-                                                      mfem::get<0>(output_fops),
-                                                      output_dtq_shmem[hardcoded_output_idx],
-                                                      scratch_mem);
-         // printf("integrate elapsed: %.1fus\n", toc() * 1e6);
-
-      }, num_entities, q1d, q1d, q1d, shmem_info.total_size, shmem_cache.ReadWrite());
-
-      if constexpr (std::is_same_v<decltype(output_fop), None>)
-      {
-         residual_l = ye_mem;
-      }
-      else
-      {
-         R->MultTranspose(ye_mem, residual_l);
-      }
-   };
-
-   if constexpr (std::is_same_v<decltype(output_fop), None>)
-   {
-      prolongation_transpose = [&](Vector &r_local, Vector &y)
-      {
-         y = r_local;
-      };
-   }
-   else if constexpr (std::is_same_v<decltype(output_fop), One>)
-   {
-      prolongation_transpose = [&](Vector &r_local, Vector &y)
-      {
-         double local_sum = r_local.Sum();
-         MPI_Allreduce(&local_sum, y.GetData(), 1, MPI_DOUBLE, MPI_SUM,
-                       op.mesh.GetComm());
-         MFEM_ASSERT(y.Size() == 1, "output size doesn't match kernel description");
-      };
-   }
-   else
-   {
-      auto P = get_prolongation(op.fields[test_space_field_idx]);
-      prolongation_transpose = [P](const Vector &r_local, Vector &y)
-      {
-         P->MultTranspose(r_local, y);
-      };
-   }
-}

examples/dfem/dfem_assemble_hypreparmatrix.icc

@@ -1,308 +0,0 @@
-template <
-   typename kernels_tuple,
-   size_t num_solutions,
-   size_t num_parameters,
-   size_t num_fields,
-   size_t num_kernels
-   >
-template <
-   size_t derivative_idx
-   >
-template <
-   typename kernel_t
-   >
-void DifferentiableOperator<kernels_tuple,
-     num_solutions,
-     num_parameters,
-     num_fields,
-     num_kernels>::Derivative<derivative_idx>::assemble_hypreparmatrix_impl(
-        kernel_t kernel, HypreParMatrix &A)
-{
-   using entity_t = typename kernel_t::entity_t;
-
-   auto kinput_to_field = create_descriptors_to_fields_map<entity_t>(op.fields,
-                                                                     kernel.inputs,
-                                                                     std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto koutput_to_field = create_descriptors_to_fields_map<entity_t>(op.fields,
-                                                                      kernel.outputs,
-                                                                      std::make_index_sequence<kernel.num_koutputs> {});
-
-   auto output_fop = std::get<0>(kernel.outputs);
-
-   constexpr int hardcoded_output_idx = 0;
-
-   int num_qp = op.integration_rule.GetNPoints();;
-   int num_el = 0;
-   int dimension = 0;
-   if constexpr (std::is_same_v<entity_t, Entity::Element>)
-   {
-      num_el = op.mesh.GetNE();
-      dimension = op.dim;
-   }
-   else if (std::is_same_v<entity_t, Entity::Face>)
-   {
-      num_el = op.mesh.GetNumFacesWithGhost();
-      dimension = op.dim - 1;
-   }
-   else
-   {
-      static_assert(always_false<entity_t>, "not implemented");
-   }
-
-   std::vector<const DofToQuad*> dtqmaps;
-   for (const auto &field : op.fields)
-   {
-      dtqmaps.emplace_back(GetDofToQuad<entity_t>(field, op.integration_rule,
-                                                  doftoquad_mode));
-   }
-
-   // Allocate memory for fields on quadrature points
-   auto input_qp_mem = create_input_qp_memory(num_qp, kernel.inputs,
-                                              std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto directions_qp_mem = create_input_qp_memory(num_qp, kernel.inputs,
-                                                   std::make_index_sequence<kernel.num_kinputs> {});
-
-   for (auto &d_qp_mem : directions_qp_mem)
-   {
-      d_qp_mem = 0.0;
-   }
-
-   std::array<bool, kernel.num_kinputs> kinput_is_dependent;
-   bool no_kinput_is_dependent = true;
-   for (int i = 0; i < kinput_is_dependent.size(); i++)
-   {
-      if (kinput_to_field[i] == derivative_idx)
-      {
-         no_kinput_is_dependent = false;
-         kinput_is_dependent[i] = true;
-         // out << "function input " << i << " is dependent on "
-         //     << op.fields[kinput_to_field[i]].field_label << "\n";
-      }
-      else
-      {
-         kinput_is_dependent[i] = false;
-      }
-   }
-
-   if (no_kinput_is_dependent)
-   {
-      return;
-   }
-
-   auto kernel_args = decay_tuple<typename kernel_t::kf_param_ts> {};
-   auto kernel_shadow_args = decay_tuple<typename kernel_t::kf_param_ts> {};
-
-   DeviceTensor<1, const double> integration_weights(
-      this->op.integration_rule.GetWeights().Read(), num_qp);
-
-   Vector zero;
-   GeometricFactorMaps geometric_factors
-   {
-      DeviceTensor<3, const double>(zero.Read(), 0, 0, 0)
-   };
-
-   // fields interpolated to the quadrature points in the order of
-   // kernel function arguments
-   auto input_qp = map_inputs_to_memory(input_qp_mem, num_qp,
-                                        kernel.inputs,
-                                        std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto directions_qp = map_inputs_to_memory(directions_qp_mem, num_qp,
-                                             kernel.inputs,
-                                             std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto input_dtq_ops = create_dtq_operators<entity_t>(kernel.inputs, dtqmaps,
-                                                       kinput_to_field);
-   auto dependent_input_dtq_ops = create_dtq_operators_conditional<entity_t>(
-                                     kernel.inputs,
-                                     dtqmaps,
-                                     kinput_to_field,
-                                     kinput_is_dependent, std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto output_dtq_ops = create_dtq_operators<entity_t>(kernel.outputs, dtqmaps,
-                                                        koutput_to_field);
-
-   constexpr int fixed_output_idx = 0;
-   auto Bv = output_dtq_ops[fixed_output_idx];
-   auto [num_test_qp, test_op_dim, num_test_dof] = Bv.GetShape();
-   const int test_vdim = std::get<0>(kernel.outputs).vdim;
-
-   const int num_trial_dof = dependent_input_dtq_ops[0].GetShape()[2];
-   int trial_vdim = 0;
-   for (int i = 0; i < kinput_is_dependent.size(); i++)
-   {
-      if (kinput_is_dependent[i])
-      {
-         trial_vdim = GetVDim(op.fields[kinput_to_field[i]]);
-         break;
-      }
-   }
-
-   // All trial operators dimensions accumulated
-   int total_trial_op_dim = 0;
-   for (int s = 0; s < dependent_input_dtq_ops.size(); s++)
-   {
-      total_trial_op_dim += dependent_input_dtq_ops[s].GetShape()[1];
-   }
-
-   Vector a_qp_mem(test_vdim * test_op_dim * trial_vdim * total_trial_op_dim *
-                   num_qp *
-                   num_el);
-   const auto a_qp = Reshape(a_qp_mem.ReadWrite(), test_vdim, test_op_dim,
-                             trial_vdim, total_trial_op_dim, num_qp,
-                             num_el);
-
-   Vector Ae_mem(num_test_dof * test_vdim * num_trial_dof * trial_vdim * num_el);
-   Ae_mem = 0.0;
-
-   auto A_e = Reshape(Ae_mem.ReadWrite(), num_test_dof, test_vdim, num_trial_dof,
-                      trial_vdim, num_el);
-
-   for (int e = 0; e < num_el; e++)
-   {
-      map_fields_to_quadrature_data(
-         input_qp, e, this->fields_e,
-         kinput_to_field, input_dtq_ops,
-         integration_weights, geometric_factors, kernel.inputs,
-         std::make_index_sequence<kernel.num_kinputs> {});
-
-      for (int q = 0; q < num_qp; q++)
-      {
-         for (int j = 0; j < trial_vdim; j++)
-         {
-            size_t m_offset = 0;
-            for (int s = 0; s < dependent_input_dtq_ops.size(); s++)
-            {
-               auto Bu = dependent_input_dtq_ops[s];
-               auto [unused1, trial_op_dim, unused2] = Bu.GetShape();
-               auto d_qp = Reshape(&(directions_qp[Bu.which_input])[0], trial_vdim,
-                                   trial_op_dim, num_qp);
-               for (int m = 0; m < trial_op_dim; m++)
-               {
-                  d_qp(j, m, q) = 1.0;
-                  Vector f_qp = apply_kernel_fwddiff_enzyme(
-                                   kernel.func,
-                                   kernel_args,
-                                   input_qp,
-                                   kernel_shadow_args,
-                                   directions_qp,
-                                   q);
-                  // Vector f_qp = apply_kernel_fwddiff_dual(
-                  //                  kernel.func,
-                  //                  kernel_args,
-                  //                  input_qp,
-                  //                  directions_qp,
-                  //                  q);
-                  d_qp(j, m, q) = 0.0;
-
-                  auto f = Reshape(f_qp.Read(), test_vdim, test_op_dim);
-
-                  for (int i = 0; i < test_vdim; i++)
-                  {
-                     for (int k = 0; k < test_op_dim; k++)
-                     {
-                        a_qp(i, k, j, m + m_offset, q, e) = f(i, k);
-                     }
-                  }
-               }
-               m_offset += trial_op_dim;
-            }
-         }
-      }
-
-      Vector fhat_mem(test_op_dim * num_qp * dimension);
-      auto fhat = Reshape(fhat_mem.ReadWrite(), test_vdim, test_op_dim, num_qp);
-      for (int J = 0; J < num_trial_dof; J++)
-      {
-         for (int j = 0; j < trial_vdim; j++)
-         {
-            fhat_mem = 0.0;
-            size_t m_offset = 0;
-            for (int s = 0; s < dependent_input_dtq_ops.size(); s++)
-            {
-               auto Bu = dependent_input_dtq_ops[s];
-               int trial_op_dim = dependent_input_dtq_ops[s].GetShape()[1];
-               for (int q = 0; q < num_qp; q++)
-               {
-                  for (int i = 0; i < test_vdim; i++)
-                  {
-                     for (int k = 0; k < test_op_dim; k++)
-                     {
-                        for (int m = 0; m < trial_op_dim; m++)
-                        {
-                           fhat(i, k, q) += a_qp(i, k, j, m + m_offset, q, e) * Bu(q, m, J);
-                        }
-                     }
-                  }
-               }
-               m_offset += trial_op_dim;
-            }
-
-            auto bvtfhat = Reshape(&A_e(0, 0, J, j, e), num_test_dof, test_vdim);
-            map_quadrature_data_to_fields(bvtfhat, fhat, output_fop,
-                                          output_dtq_ops[hardcoded_output_idx]);
-         }
-      }
-   }
-
-   bool same_test_and_trial = false;
-   if (koutput_to_field[0] ==
-       kinput_to_field[dependent_input_dtq_ops[0].which_input])
-   {
-      same_test_and_trial = true;
-   }
-
-   auto trial_fes = *std::get_if<const ParFiniteElementSpace *>
-                    (&op.fields[kinput_to_field[dependent_input_dtq_ops[0].which_input]].data);
-
-   auto test_fes = *std::get_if<const ParFiniteElementSpace *>
-                   (&op.fields[koutput_to_field[0]].data);
-
-   SparseMatrix mat(test_fes->GlobalVSize(), trial_fes->GlobalVSize());
-
-   if (test_fes == nullptr)
-   {
-      MFEM_ABORT("error");
-   }
-
-   for (int e = 0; e < num_el; e++)
-   {
-      auto tmp = Reshape(Ae_mem.ReadWrite(), num_test_dof * test_vdim,
-                         num_trial_dof * trial_vdim,
-                         num_el);
-      DenseMatrix A_e(&tmp(0, 0, e), num_test_dof * test_vdim,
-                      num_trial_dof * trial_vdim);
-      Array<int> test_vdofs, trial_vdofs;
-      test_fes->GetElementVDofs(e, test_vdofs);
-      GetElementVDofs(
-         op.fields[kinput_to_field[dependent_input_dtq_ops[0].which_input]], e,
-         trial_vdofs);
-      mat.AddSubMatrix(test_vdofs, trial_vdofs, A_e, 1);
-   }
-   mat.Finalize();
-
-   if (same_test_and_trial)
-   {
-      HypreParMatrix tmp(test_fes->GetComm(),
-                         test_fes->GlobalVSize(),
-                         test_fes->GetDofOffsets(),
-                         &mat);
-
-      A = *RAP(&tmp, test_fes->Dof_TrueDof_Matrix());
-      A.EliminateBC(op.ess_tdof_list, DiagonalPolicy::DIAG_ONE);
-   }
-   else
-   {
-      HypreParMatrix tmp(test_fes->GetComm(),
-                         test_fes->GlobalVSize(),
-                         trial_fes->GlobalVSize(),
-                         test_fes->GetDofOffsets(),
-                         trial_fes->GetDofOffsets(),
-                         &mat);
-
-      A = *RAP(test_fes->Dof_TrueDof_Matrix(), &tmp, trial_fes->Dof_TrueDof_Matrix());
-      // A.EliminateBC(op.ess_tdof_list, DiagonalPolicy::DIAG_ONE);
-   }
-}

examples/dfem/dfem_assemble_vector.icc

@@ -1,233 +0,0 @@
-template <
-   typename kernels_tuple,
-   size_t num_solutions,
-   size_t num_parameters,
-   size_t num_fields,
-   size_t num_kernels
-   >
-template <
-   size_t derivative_idx
-   >
-template <
-   typename kernel_t
-   >
-void DifferentiableOperator<kernels_tuple,
-     num_solutions,
-     num_parameters,
-     num_fields,
-     num_kernels>::Derivative<derivative_idx>::assemble_vector_impl(
-        kernel_t kernel, Vector &v)
-{
-   using entity_t = typename kernel_t::entity_t;
-
-   auto kinput_to_field = create_descriptors_to_fields_map<entity_t>(op.fields,
-                                                                     kernel.inputs,
-                                                                     std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto koutput_to_field = create_descriptors_to_fields_map<entity_t>(op.fields,
-                                                                      kernel.outputs,
-                                                                      std::make_index_sequence<kernel.num_koutputs> {});
-
-   auto output_fop = std::get<0>(kernel.outputs);
-
-   constexpr int hardcoded_output_idx = 0;
-
-   int num_qp = op.integration_rule.GetNPoints();;
-   int num_el = 0;
-   int dimension = 0;
-   if constexpr (std::is_same_v<entity_t, Entity::Element>)
-   {
-      num_el = op.mesh.GetNE();
-      dimension = op.dim;
-   }
-   else if (std::is_same_v<entity_t, Entity::Face>)
-   {
-      num_el = op.mesh.GetNumFacesWithGhost();
-      dimension = op.dim - 1;
-   }
-   else
-   {
-      static_assert(always_false<entity_t>, "not implemented");
-   }
-
-   std::vector<const DofToQuad*> dtqmaps;
-   for (const auto &field : op.fields)
-   {
-      dtqmaps.emplace_back(GetDofToQuad<entity_t>(field, op.integration_rule,
-                                                  doftoquad_mode));
-   }
-
-   // Allocate memory for fields on quadrature points
-   auto input_qp_mem = create_input_qp_memory(num_qp, kernel.inputs,
-                                              std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto directions_qp_mem = create_input_qp_memory(num_qp, kernel.inputs,
-                                                   std::make_index_sequence<kernel.num_kinputs> {});
-
-   for (auto &d_qp_mem : directions_qp_mem)
-   {
-      d_qp_mem = 0.0;
-   }
-
-   std::array<bool, kernel.num_kinputs> kinput_is_dependent;
-   bool no_kinput_is_dependent = true;
-   for (int i = 0; i < kinput_is_dependent.size(); i++)
-   {
-      if (kinput_to_field[i] == derivative_idx)
-      {
-         no_kinput_is_dependent = false;
-         kinput_is_dependent[i] = true;
-         // out << "function input " << i << " is dependent on "
-         //     << op.fields[kinput_to_field[i]].field_label << "\n";
-      }
-      else
-      {
-         kinput_is_dependent[i] = false;
-      }
-   }
-
-   if (no_kinput_is_dependent)
-   {
-      return;
-   }
-
-   auto kernel_args = decay_tuple<typename kernel_t::kf_param_ts> {};
-   auto kernel_shadow_args = decay_tuple<typename kernel_t::kf_param_ts> {};
-
-   DeviceTensor<1, const double> integration_weights(
-      this->op.integration_rule.GetWeights().Read(), num_qp);
-
-   Vector zero;
-   GeometricFactorMaps geometric_factors
-   {
-      DeviceTensor<3, const double>(zero.Read(), 0, 0, 0)
-   };
-
-   // fields interpolated to the quadrature points in the order of
-   // kernel function arguments
-   auto input_qp = map_inputs_to_memory(input_qp_mem, num_qp,
-                                        kernel.inputs,
-                                        std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto directions_qp = map_inputs_to_memory(directions_qp_mem, num_qp,
-                                             kernel.inputs,
-                                             std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto input_dtq_ops = create_dtq_operators<entity_t>(kernel.inputs, dtqmaps,
-                                                       kinput_to_field);
-   auto dependent_input_dtq_ops = create_dtq_operators_conditional<entity_t>(
-                                     kernel.inputs,
-                                     dtqmaps,
-                                     kinput_to_field,
-                                     kinput_is_dependent, std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto output_dtq_ops = create_dtq_operators<entity_t>(kernel.outputs, dtqmaps,
-                                                        koutput_to_field);
-
-   constexpr int fixed_output_idx = 0;
-   auto Bv = output_dtq_ops[fixed_output_idx];
-   auto [num_test_qp, test_op_dim, num_test_dof] = Bv.GetShape();
-   const int test_vdim = std::get<0>(kernel.outputs).vdim;
-
-   const int num_trial_dof = dependent_input_dtq_ops[0].GetShape()[2];
-   int trial_vdim = 0;
-   int dependent_field_idx = -1;
-   for (int i = 0; i < kinput_is_dependent.size(); i++)
-   {
-      if (kinput_is_dependent[i])
-      {
-         dependent_field_idx = kinput_to_field[i];
-         break;
-      }
-   }
-
-   trial_vdim = GetVDim(op.fields[dependent_field_idx]);
-
-   // All trial operators dimensions accumulated
-   int total_trial_op_dim = 0;
-   for (int s = 0; s < dependent_input_dtq_ops.size(); s++)
-   {
-      total_trial_op_dim += dependent_input_dtq_ops[s].GetShape()[1];
-   }
-
-   Vector a_qp_mem(trial_vdim * total_trial_op_dim * num_qp * num_el);
-   const auto a_qp = Reshape(a_qp_mem.ReadWrite(), trial_vdim,
-                             total_trial_op_dim, num_qp, num_el);
-   Vector ve_mem(num_trial_dof * trial_vdim * num_el);
-   ve_mem = 0.0;
-
-   for (int e = 0; e < num_el; e++)
-   {
-      map_fields_to_quadrature_data(
-         input_qp, e, this->fields_e,
-         kinput_to_field, input_dtq_ops,
-         integration_weights, geometric_factors, kernel.inputs,
-         std::make_index_sequence<kernel.num_kinputs> {});
-
-      for (int q = 0; q < num_qp; q++)
-      {
-         for (int j = 0; j < trial_vdim; j++)
-         {
-            size_t m_offset = 0;
-            for (int s = 0; s < dependent_input_dtq_ops.size(); s++)
-            {
-               auto Bu = dependent_input_dtq_ops[s];
-               auto [unused1, trial_op_dim, unused2] = Bu.GetShape();
-               auto d_qp = Reshape(&(directions_qp[Bu.which_input])[0], trial_vdim,
-                                   trial_op_dim, num_qp);
-               for (int m = 0; m < trial_op_dim; m++)
-               {
-                  d_qp(j, m, q) = 1.0;
-                  // Vector f_qp = apply_kernel_fwddiff_dual(
-                  //                  kernel.func,
-                  //                  kernel_args,
-                  //                  input_qp,
-                  //                  directions_qp,
-                  //                  q);
-                  Vector f_qp = apply_kernel_fwddiff_enzyme(
-                                   kernel.func,
-                                   kernel_args,
-                                   input_qp,
-                                   kernel_shadow_args,
-                                   directions_qp,
-                                   q);
-                  d_qp(j, m, q) = 0.0;
-
-                  auto f = Reshape(f_qp.Read(), test_vdim);
-                  a_qp(j, m + m_offset, q, e) = f(0);
-               }
-               m_offset += trial_op_dim;
-            }
-         }
-      }
-
-      auto shat = Reshape(ve_mem.ReadWrite(), num_trial_dof, trial_vdim, num_el);
-      for (int J = 0; J < num_trial_dof; J++)
-      {
-         for (int j = 0; j < trial_vdim; j++)
-         {
-            size_t m_offset = 0;
-            for (int s = 0; s < dependent_input_dtq_ops.size(); s++)
-            {
-               auto Bu = dependent_input_dtq_ops[s];
-               int trial_op_dim = dependent_input_dtq_ops[s].GetShape()[1];
-               for (int q = 0; q < num_qp; q++)
-               {
-                  for (int m = 0; m < trial_op_dim; m++)
-                  {
-                     shat(J, j, e) += a_qp(j, m + m_offset, q, e) * Bu(q, m, J);
-                  }
-               }
-               m_offset += trial_op_dim;
-            }
-         }
-      }
-   }
-
-   auto R = get_element_restriction(op.fields[dependent_field_idx],
-                                    element_dof_ordering);
-   Vector ve(R->Width());
-   R->MultTranspose(ve_mem, ve);
-
-   get_prolongation(op.fields[dependent_field_idx])->MultTranspose(ve, v);
-}

examples/dfem/dfem_derivative_callback.icc

@@ -1,244 +0,0 @@
-template <
-   typename kernels_tuple,
-   size_t num_solutions,
-   size_t num_parameters,
-   size_t num_fields,
-   size_t num_kernels
-   >
-template <
-   size_t derivative_idx
-   >
-template <
-   typename kernel_t
-   >
-void DifferentiableOperator<kernels_tuple,
-     num_solutions,
-     num_parameters,
-     num_fields,
-     num_kernels>::Derivative<derivative_idx>::create_callback(kernel_t kernel,
-                                                               mult_func_t &func)
-{
-   using entity_t = typename kernel_t::entity_t;
-
-   auto kinput_to_field = create_descriptors_to_fields_map<entity_t>(op.fields,
-                                                                     kernel.inputs, std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto koutput_to_field = create_descriptors_to_fields_map<entity_t>(op.fields,
-                                                                      kernel.outputs, std::make_index_sequence<kernel.num_koutputs> {});
-
-   constexpr int hardcoded_output_idx = 0;
-   const int test_space_field_idx = koutput_to_field[hardcoded_output_idx];
-
-   const Operator *R = get_restriction<entity_t>(op.fields[test_space_field_idx],
-                                                 element_dof_ordering);
-
-   auto output_fop = mfem::get<hardcoded_output_idx>(kernel.outputs);
-
-   const int num_elements = GetNumEntities<Entity::Element>(op.mesh);
-   const int num_entities = GetNumEntities<entity_t>(op.mesh);
-   const int num_qp = op.integration_rule.GetNPoints();
-
-   // assume only a single element type for now
-   std::vector<const DofToQuad*> dtq;
-   for (const auto &field : op.fields)
-   {
-      dtq.emplace_back(GetDofToQuad<entity_t>(field, op.integration_rule,
-                                              doftoquad_mode));
-   }
-   const int q1d = dtq[0]->nqpt;
-
-   derivative_action_e.SetSize(R->Height());
-
-   const int da_size_on_qp = GetSizeOnQP<entity_t>(
-                                mfem::get<hardcoded_output_idx>(kernel.outputs),
-                                op.fields[test_space_field_idx]);
-
-   auto input_dtq_maps = create_dtq_maps<entity_t>(kernel.inputs, dtq,
-                                                   kinput_to_field);
-   auto output_dtq_maps = create_dtq_maps<entity_t>(kernel.outputs, dtq,
-                                                    koutput_to_field);
-
-   auto input_fops = create_bare_fops(kernel.inputs);
-   auto output_fops = create_bare_fops(kernel.outputs);
-
-   const int test_vdim = mfem::get<hardcoded_output_idx>(output_fops).vdim;
-   const int test_op_dim =
-      mfem::get<hardcoded_output_idx>(output_fops).size_on_qp /
-      mfem::get<hardcoded_output_idx>(output_fops).vdim;
-   const int num_test_dof = R->Height() /
-                            mfem::get<hardcoded_output_idx>(output_fops).vdim /
-                            num_entities;
-
-   auto ir_weights = Reshape(this->op.integration_rule.GetWeights().Read(),
-                             num_qp);
-
-   auto input_size_on_qp = get_input_size_on_qp(kernel.inputs,
-                                                std::make_index_sequence<kernel.num_kinputs> {});
-
-   // Check which qf inputs are dependent on the dependent variable
-   std::array<bool, kernel.num_kinputs> kinput_is_dependent;
-   bool no_kinput_is_dependent = true;
-   for (int i = 0; i < kinput_is_dependent.size(); i++)
-   {
-      if (kinput_to_field[i] == derivative_idx)
-      {
-         no_kinput_is_dependent = false;
-         kinput_is_dependent[i] = true;
-         // out << "function input " << i << " is dependent on "
-         //     << op.fields[kinput_to_field[i]].field_label << "\n";
-      }
-      else
-      {
-         kinput_is_dependent[i] = false;
-      }
-   }
-
-   bool with_derivatives = true;
-   auto shmem_info = get_shmem_info<entity_t>(input_dtq_maps,
-                                              output_dtq_maps,
-                                              op.fields,
-                                              num_entities,
-                                              kernel.inputs,
-                                              num_qp,
-                                              input_size_on_qp,
-                                              da_size_on_qp,
-                                              derivative_idx);
-
-   Vector shmem_cache(shmem_info.total_size);
-
-   print_shared_memory_info(shmem_info);
-
-   func = [=](Vector &ye_mem) mutable
-   {
-      if (no_kinput_is_dependent)
-      {
-         return;
-      }
-
-      restriction<entity_t>(direction, direction_l, direction_e,
-                            op.element_dof_ordering);
-
-      auto ye = Reshape(ye_mem.ReadWrite(), num_test_dof, test_vdim, num_entities);
-      auto wrapped_fields_e = wrap_fields(this->fields_e, shmem_info.field_sizes, num_entities);
-      auto wrapped_direction_e = Reshape(direction_e.Read(), shmem_info.direction_size, num_entities);
-
-      forall([=] MFEM_HOST_DEVICE (int e, double *shmem)
-      {
-         auto input_dtq_shmem = load_dtq_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::INPUT_DTQ],
-            shmem_info.input_dtq_sizes,
-            input_dtq_maps);
-
-         auto output_dtq_shmem = load_dtq_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::OUTPUT_DTQ],
-            shmem_info.output_dtq_sizes,
-            output_dtq_maps);
-
-         auto fields_shmem = load_field_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::FIELD],
-            shmem_info.field_sizes,
-            kinput_to_field,
-            wrapped_fields_e,
-            e);
-
-         auto direction_shmem = load_direction_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::DIRECTION],
-            shmem_info.direction_size,
-            wrapped_direction_e,
-            e);
-
-         // These methods don't copy, they simply create a `DeviceTensor` object
-         // that points to correct chunks of the shared memory pool.
-         auto input_shmem = load_input_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::INPUT],
-            shmem_info.input_sizes,
-            num_qp);
-
-         auto shadow_shmem = load_input_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::SHADOW],
-            shmem_info.input_sizes,
-            num_qp);
-
-         auto residual_shmem = load_residual_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::OUTPUT],
-            shmem_info.residual_size,
-            num_qp);
-
-         auto scratch_mem = load_scratch_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::TEMP],
-            shmem_info.temp_sizes);
-
-         map_fields_to_quadrature_data<TensorProduct>(
-            input_shmem, fields_shmem, input_dtq_shmem, input_fops, ir_weights, scratch_mem,
-         std::make_index_sequence<kernel.num_kinputs> {});
-
-         zero_all(shadow_shmem);
-         map_direction_to_quadrature_data_conditional<TensorProduct>(
-            shadow_shmem, direction_shmem, input_dtq_shmem, input_fops, ir_weights,
-            scratch_mem, kinput_is_dependent,
-            std::make_index_sequence<kernel.num_kinputs> {});
-
-         MFEM_FOREACH_THREAD(qx, x, q1d)
-         {
-            MFEM_FOREACH_THREAD(qy, y, q1d)
-            {
-               MFEM_FOREACH_THREAD(qz, z, q1d)
-               {
-                  const int q = qx + q1d * (qy + q1d * qz);
-
-                  auto kernel_args = decay_tuple<typename kernel_t::kf_param_ts> {};
-                  auto kernel_shadow_args = decay_tuple<typename kernel_t::kf_param_ts> {};
-
-                  auto r = Reshape(&residual_shmem(0, q), da_size_on_qp);
-                  apply_kernel_fwddiff_enzyme(
-                     r,
-                     kernel.func,
-                     kernel_args,
-                     input_shmem,
-                     kernel_shadow_args,
-                     shadow_shmem,
-                     q);
-                  // printf(">>>>> WARNING: AD DISABLED\n");
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-
-         auto fhat = Reshape(&residual_shmem(0, 0), test_vdim, test_op_dim, num_qp);
-         auto y = Reshape(&ye(0, 0, e), num_test_dof, test_vdim);
-         map_quadrature_data_to_fields<TensorProduct>(y, fhat,
-                                                      mfem::get<0>(output_fops),
-                                                      output_dtq_shmem[hardcoded_output_idx],
-                                                      scratch_mem);
-      }, num_entities, q1d, q1d, 1, shmem_info.total_size, shmem_cache.ReadWrite());
-
-      R->MultTranspose(ye_mem, derivative_action_l);
-   };
-
-   if constexpr (std::is_same_v<decltype(output_fop), One>)
-   {
-      prolongation_transpose = [&](Vector &r_local, Vector &y)
-      {
-         double local_sum = r_local.Sum();
-         MPI_Allreduce(&local_sum, y.GetData(), 1, MPI_DOUBLE, MPI_SUM,
-                       op.mesh.GetComm());
-         MFEM_ASSERT(y.Size() == 1, "output size doesn't match kernel description");
-      };
-   }
-   else
-   {
-      auto P = get_prolongation(op.fields[test_space_field_idx]);
-      prolongation_transpose = [P](const Vector &r_local, Vector &y)
-      {
-         P->MultTranspose(r_local, y);
-      };
-   }
-}

examples/dfem/dfem_differentiable_operator.hpp

@@ -1,806 +0,0 @@
-#pragma once
-
-#include <algorithm>
-#include <cstdlib>
-#include <functional>
-#include <iostream>
-#include <utility>
-#include <variant>
-#include <vector>
-#include <type_traits>
-#include <mfem.hpp>
-#include <type_traits>
-#include "dfem_fieldoperator.hpp"
-#include "dfem_parametricspace.hpp"
-#include "general/tic_toc.hpp"
-#include "tuple.hpp"
-#include <linalg/tensor.hpp>
-#include <enzyme/utils>
-#include <enzyme/enzyme>
-#include "dfem_util.hpp"
-#include "dfem_interpolate.hpp"
-#include "dfem_qfunction.hpp"
-#include "dfem_integrate.hpp"
-
-namespace mfem
-{
-
-using mult_func_t = std::function<void(Vector &)>;
-
-template <
-   typename kernels_tuple,
-   size_t num_solutions,
-   size_t num_parameters,
-   size_t num_fields = num_solutions + num_parameters,
-   size_t num_kernels = mfem::tuple_size<kernels_tuple>::value
-   >
-class DifferentiableOperator : public Operator
-{
-public:
-   DifferentiableOperator(DifferentiableOperator&) = delete;
-   DifferentiableOperator(DifferentiableOperator&&) = delete;
-
-   class Action : public Operator
-   {
-   public:
-      template <typename kernel_t>
-      void create_action_callback(kernel_t kernel, mult_func_t &func);
-
-      template<std::size_t... idx>
-      void materialize_callbacks(kernels_tuple &ks,
-                                 std::array<mult_func_t, num_kernels>,
-                                 std::index_sequence<idx...> const&)
-      {
-         (create_action_callback(mfem::get<idx>(ks), funcs[idx]), ...);
-      }
-
-      Action(DifferentiableOperator &op, kernels_tuple &ks) : op(op)
-      {
-         materialize_callbacks(ks, funcs,
-                               std::make_index_sequence<mfem::tuple_size<kernels_tuple>::value>());
-      }
-
-      void Mult(const Vector &x, Vector &y) const
-      {
-         prolongation(op.solutions, x, solutions_l);
-
-         residual_e = 0.0;
-         for (const auto &f : funcs)
-         {
-            f(residual_e);
-         }
-
-         prolongation_transpose(residual_l, y);
-
-         y.SetSubVector(op.ess_tdof_list, 0.0);
-      }
-
-      void SetParameters(std::vector<Vector *> p) const
-      {
-         MFEM_ASSERT(num_parameters == p.size(),
-                     "number of parameters doesn't match descriptors");
-         for (int i = 0; i < num_parameters; i++)
-         {
-            p[i]->Read();
-            parameters_l[i] = *p[i];
-            // parameters_l[i].MakeRef(p[i], 0, p[i]->Size());
-         }
-      }
-
-   protected:
-      DifferentiableOperator &op;
-      std::array<mult_func_t, num_kernels> funcs;
-
-      std::function<void(Vector &, Vector &)> prolongation_transpose;
-
-      mutable std::array<Vector, num_solutions> solutions_l;
-      mutable std::array<Vector, num_parameters> parameters_l;
-      mutable Vector residual_l;
-
-      mutable std::array<Vector, num_fields> fields_e;
-      mutable Vector residual_e;
-   };
-
-   template <size_t derivative_idx>
-   class Derivative : public Operator
-   {
-   public:
-      template <typename kernel_t>
-      void create_callback(kernel_t kernel, mult_func_t &func);
-
-      template<std::size_t... idx>
-      void materialize_callbacks(kernels_tuple &ks,
-                                 std::array<mult_func_t, num_kernels>,
-                                 std::index_sequence<idx...> const&)
-      {
-         (create_callback(mfem::get<idx>(ks), funcs[idx]), ...);
-      }
-
-      Derivative(
-         DifferentiableOperator &op,
-         std::array<Vector *, num_solutions> &solutions,
-         std::array<Vector *, num_parameters> &parameters,
-         kernels_tuple &ks) : op(op), ks(ks)
-      {
-         for (int i = 0; i < num_solutions; i++)
-         {
-            solutions_l[i] = *solutions[i];
-         }
-
-         for (int i = 0; i < num_parameters; i++)
-         {
-            parameters_l[i] = *parameters[i];
-         }
-
-         // G
-         // if constexpr (std::is_same_v<OperatesOn, OperatesOnElement>)
-         // {
-         element_restriction(op.solutions, solutions_l, fields_e,
-                             op.element_dof_ordering);
-         element_restriction(op.parameters, parameters_l, fields_e,
-                             op.element_dof_ordering,
-                             op.solutions.size());
-         // }
-         // else
-         // {
-         //    MFEM_ABORT("restriction not implemented for OperatesOn");
-         // }
-         direction = op.fields[derivative_idx];
-
-         size_t derivative_action_l_size = 0;
-         for (auto &s : op.solutions)
-         {
-            derivative_action_l_size += GetVSize(s);
-            this->width += GetTrueVSize(s);
-         }
-         this->height = derivative_action_l_size;
-         derivative_action_l.SetSize(derivative_action_l_size);
-
-         materialize_callbacks(ks, funcs,
-                               std::make_index_sequence<num_kernels>());
-      }
-
-      void Mult(const Vector &x, Vector &y) const override
-      {
-         current_direction_t = x;
-         current_direction_t.SetSubVector(op.ess_tdof_list, 0.0);
-
-         prolongation(direction, current_direction_t, direction_l);
-
-         derivative_action_e = 0.0;
-         for (const auto &f : funcs)
-         {
-            f(derivative_action_e);
-         }
-
-         prolongation_transpose(derivative_action_l, y);
-
-         y.SetSubVector(op.ess_tdof_list, 0.0);
-      }
-
-      template <typename kernel_t>
-      void assemble_vector_impl(kernel_t kernel, Vector &v);
-
-      template<std::size_t... idx>
-      void assemble_vector(
-         kernels_tuple &ks,
-         Vector &v,
-         std::index_sequence<idx...> const&)
-      {
-         (assemble_vector_impl(mfem::get<idx>(ks), v), ...);
-      }
-
-      void Assemble(Vector &v)
-      {
-         assemble_vector(ks, v, std::make_index_sequence<num_kernels>());
-      }
-
-      template <typename kernel_t>
-      void assemble_hypreparmatrix_impl(kernel_t kernel, HypreParMatrix &A);
-
-      template<std::size_t... idx>
-      void assemble_hypreparmatrix(
-         kernels_tuple &ks,
-         HypreParMatrix &A,
-         std::index_sequence<idx...> const&)
-      {
-         (assemble_hypreparmatrix_impl(mfem::get<idx>(ks), A), ...);
-      }
-
-      void Assemble(HypreParMatrix &A)
-      {
-         assemble_hypreparmatrix(ks, A, std::make_index_sequence<num_kernels>());
-      }
-
-      void AssembleDiagonal(Vector &d) const override {}
-
-   protected:
-      DifferentiableOperator &op;
-      kernels_tuple &ks;
-      std::array<mult_func_t, num_kernels> funcs;
-
-      std::function<void(Vector &, Vector &)> prolongation_transpose;
-
-      FieldDescriptor direction;
-
-      std::array<Vector, num_solutions> solutions_l;
-      std::array<Vector, num_parameters> parameters_l;
-      mutable Vector direction_l;
-      mutable Vector derivative_action_l;
-
-      mutable std::array<Vector, num_fields> fields_e;
-      mutable Vector direction_e;
-      mutable Vector derivative_action_e;
-
-      mutable Vector current_direction_t;
-   };
-
-   DifferentiableOperator(std::array<FieldDescriptor, num_solutions> s,
-                          std::array<FieldDescriptor, num_parameters> p,
-                          kernels_tuple ks,
-                          ParMesh &m,
-                          const IntegrationRule &integration_rule) :
-      kernels(ks),
-      mesh(m),
-      dim(mesh.Dimension()),
-      integration_rule(integration_rule),
-      solutions(s),
-      parameters(p)
-   {
-      for (int i = 0; i < num_solutions; i++)
-      {
-         fields[i] = solutions[i];
-      }
-
-      for (int i = 0; i < num_parameters; i++)
-      {
-         fields[i + num_solutions] = parameters[i];
-      }
-
-      residual.reset(new Action(*this, kernels));
-   }
-
-   void SetParameters(std::vector<Vector *> p) const
-   {
-      residual->SetParameters(p);
-   }
-
-   void Mult(const Vector &x, Vector &y) const override
-   {
-      residual->Mult(x, y);
-   }
-
-   template <int derivative_idx>
-   std::shared_ptr<Derivative<derivative_idx>>
-                                            GetDerivativeWrt(std::array<Vector *, num_solutions> solutions,
-                                                             std::array<Vector *, num_parameters> parameters)
-   {
-      return std::shared_ptr<Derivative<derivative_idx>>(
-                new Derivative<derivative_idx>(*this, solutions, parameters, kernels));
-   }
-
-   void SetEssentialTrueDofs(const Array<int> &l)
-   {
-      l.Copy(ess_tdof_list);
-   }
-
-   kernels_tuple kernels;
-   ParMesh &mesh;
-   const int dim;
-   const IntegrationRule &integration_rule;
-
-   std::array<FieldDescriptor, num_solutions> solutions;
-   std::array<FieldDescriptor, num_parameters> parameters;
-   // solutions and parameters
-   std::array<FieldDescriptor, num_fields> fields;
-
-   int residual_lsize = 0;
-
-   mutable std::array<Vector, num_solutions> current_state_l;
-   mutable Vector direction_l;
-
-   mutable Vector current_direction_t;
-
-   Array<int> ess_tdof_list;
-
-   static constexpr ElementDofOrdering element_dof_ordering =
-      ElementDofOrdering::LEXICOGRAPHIC;
-
-   static constexpr DofToQuad::Mode doftoquad_mode =
-      DofToQuad::Mode::TENSOR;
-
-   // static constexpr ElementDofOrdering element_dof_ordering =
-   //    ElementDofOrdering::NATIVE;
-
-   // static constexpr DofToQuad::Mode doftoquad_mode =
-   //    DofToQuad::Mode::FULL;
-
-   std::shared_ptr<Action> residual;
-};
-
-template <
-   typename kernels_tuple,
-   size_t num_solutions,
-   size_t num_parameters,
-   size_t num_fields,
-   size_t num_kernels
-   >
-template <
-   typename kernel_t
-   >
-void DifferentiableOperator<kernels_tuple,
-     num_solutions,
-     num_parameters,
-     num_fields,
-     num_kernels>::Action::create_action_callback(
-        kernel_t kernel,
-        mult_func_t &func)
-{
-   using entity_t = typename kernel_t::entity_t;
-
-   auto kinput_to_field = create_descriptors_to_fields_map<entity_t>(op.fields,
-                                                                     kernel.inputs, std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto koutput_to_field = create_descriptors_to_fields_map<entity_t>(op.fields,
-                                                                      kernel.outputs, std::make_index_sequence<kernel.num_koutputs> {});
-
-   constexpr int hardcoded_output_idx = 0;
-   const int test_space_field_idx = koutput_to_field[hardcoded_output_idx];
-
-   const Operator *R = get_restriction<entity_t>(op.fields[test_space_field_idx],
-                                                 element_dof_ordering);
-
-   auto output_fop = mfem::get<hardcoded_output_idx>(kernel.outputs);
-
-   const int num_elements = GetNumEntities<Entity::Element>(op.mesh);
-   const int num_entities = GetNumEntities<entity_t>(op.mesh);
-   const int num_qp = op.integration_rule.GetNPoints();
-
-   // All solutions T-vector sizes make up the width of the operator, since
-   // they are explicitly provided in Mult() for example.
-
-   op.width = GetTrueVSize(op.fields[test_space_field_idx]);
-   op.residual_lsize = GetVSize(op.fields[test_space_field_idx]);
-
-   if constexpr (std::is_same_v<decltype(output_fop), One>)
-   {
-      op.height = 1;
-   }
-   else
-   {
-      op.height = op.residual_lsize;
-   }
-
-   residual_l.SetSize(op.residual_lsize);
-
-   // assume only a single element type for now
-   std::vector<const DofToQuad*> dtq;
-   for (const auto &field : op.fields)
-   {
-      dtq.emplace_back(GetDofToQuad<entity_t>(field, op.integration_rule,
-                                              doftoquad_mode));
-   }
-   const int q1d = (int)floor(pow(num_qp, 1.0/op.mesh.Dimension()) + 0.5);
-
-   residual_e.SetSize(R->Height());
-
-   const int residual_size_on_qp = GetSizeOnQP<entity_t>(
-                                      mfem::get<hardcoded_output_idx>(kernel.outputs),
-                                      op.fields[test_space_field_idx]);
-
-   auto input_dtq_maps = create_dtq_maps<entity_t>(kernel.inputs, dtq,
-                                                   kinput_to_field);
-   auto output_dtq_maps = create_dtq_maps<entity_t>(kernel.outputs, dtq,
-                                                    koutput_to_field);
-
-   auto input_fops = create_bare_fops(kernel.inputs);
-   auto output_fops = create_bare_fops(kernel.outputs);
-
-   const int test_vdim = mfem::get<hardcoded_output_idx>(output_fops).vdim;
-   const int test_op_dim =
-      mfem::get<hardcoded_output_idx>(output_fops).size_on_qp /
-      mfem::get<hardcoded_output_idx>(output_fops).vdim;
-   const int num_test_dof = R->Height() /
-                            mfem::get<hardcoded_output_idx>(output_fops).vdim /
-                            num_entities;
-
-   auto ir_weights = Reshape(this->op.integration_rule.GetWeights().Read(),
-                             num_qp);
-
-   auto input_size_on_qp = get_input_size_on_qp(kernel.inputs,
-                                                std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto shmem_info = get_shmem_info<entity_t>(input_dtq_maps,
-                                              output_dtq_maps,
-                                              op.fields,
-                                              num_entities,
-                                              kernel.inputs,
-                                              num_qp,
-                                              input_size_on_qp,
-                                              residual_size_on_qp);
-
-   Vector shmem_cache(shmem_info.total_size);
-
-   // print_shared_memory_info(shmem_info);
-
-   func = [=](Vector &ye_mem) mutable
-   {
-      restriction<entity_t>(op.solutions, solutions_l, this->fields_e,
-                            op.element_dof_ordering);
-      restriction<entity_t>(op.parameters, parameters_l, this->fields_e,
-                            op.element_dof_ordering,
-                            op.solutions.size());
-
-      auto ye = Reshape(ye_mem.ReadWrite(), test_vdim, num_test_dof, num_entities);
-      auto wrapped_fields_e = wrap_fields(this->fields_e, shmem_info.field_sizes, num_entities);
-
-      forall([=] MFEM_HOST_DEVICE (int e, void *shmem)
-      {
-         // printf("\ne: %d\n", e);
-         // tic();
-         auto input_dtq_shmem = load_dtq_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::INPUT_DTQ],
-            shmem_info.input_dtq_sizes,
-            input_dtq_maps);
-
-         auto output_dtq_shmem = load_dtq_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::OUTPUT_DTQ],
-            shmem_info.output_dtq_sizes,
-            output_dtq_maps);
-
-         auto fields_shmem = load_field_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::FIELD],
-            shmem_info.field_sizes,
-            kinput_to_field,
-            input_fops,
-            wrapped_fields_e,
-            e,
-         std::make_index_sequence<kernel.num_kinputs> {});
-
-         // These functions don't copy, they simply create a `DeviceTensor` object
-         // that points to correct chunks of the shared memory pool.
-         auto input_shmem = load_input_mem(
-                               shmem,
-                               shmem_info.offsets[SharedMemory::Index::INPUT],
-                               shmem_info.input_sizes,
-                               num_qp);
-
-         auto residual_shmem = load_residual_mem(
-                                  shmem,
-                                  shmem_info.offsets[SharedMemory::Index::OUTPUT],
-                                  shmem_info.residual_size,
-                                  num_qp);
-
-         auto scratch_mem = load_scratch_mem(
-                               shmem,
-                               shmem_info.offsets[SharedMemory::Index::TEMP],
-                               shmem_info.temp_sizes);
-
-         MFEM_SYNC_THREAD;
-         // printf("shmem load elapsed: %.1fus\n", toc() * 1e6);
-
-         // tic();
-         map_fields_to_quadrature_data<TensorProduct>(
-            input_shmem, fields_shmem, input_dtq_shmem, input_fops, ir_weights, scratch_mem,
-            std::make_index_sequence<kernel.num_kinputs> {});
-         // printf("interpolate elapsed: %.1fus\n", toc() * 1e6);
-
-         // tic();
-         MFEM_FOREACH_THREAD(qx, x, q1d)
-         {
-            MFEM_FOREACH_THREAD(qy, y, q1d)
-            {
-               MFEM_FOREACH_THREAD(qz, z, q1d)
-               {
-                  const int q = qx + q1d * (qy + q1d * qz);
-                  auto kernel_args = decay_tuple<typename kernel_t::kf_param_ts> {};
-                  auto r = Reshape(&residual_shmem(0, q), residual_size_on_qp);
-                  apply_kernel(r, kernel.func, kernel_args, input_shmem, q);
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-         // printf("qf elapsed: %.1fus\n", toc() * 1e6);
-
-         // tic();
-         auto fhat = Reshape(&residual_shmem(0, 0), test_vdim, test_op_dim, num_qp);
-         auto y = Reshape(&ye(0, 0, e), num_test_dof, test_vdim);
-         map_quadrature_data_to_fields<TensorProduct>(y, fhat,
-                                                      mfem::get<0>(output_fops),
-                                                      output_dtq_shmem[hardcoded_output_idx],
-                                                      scratch_mem);
-         // printf("integrate elapsed: %.1fus\n", toc() * 1e6);
-
-      }, num_entities, q1d, q1d, q1d, shmem_info.total_size, shmem_cache.ReadWrite());
-
-      if constexpr (std::is_same_v<decltype(output_fop), None>)
-      {
-         residual_l = ye_mem;
-      }
-      else
-      {
-         R->MultTranspose(ye_mem, residual_l);
-      }
-   };
-
-   if constexpr (std::is_same_v<decltype(output_fop), None>)
-   {
-      prolongation_transpose = [&](Vector &r_local, Vector &y)
-      {
-         y = r_local;
-      };
-   }
-   else if constexpr (std::is_same_v<decltype(output_fop), One>)
-   {
-      prolongation_transpose = [&](Vector &r_local, Vector &y)
-      {
-         double local_sum = r_local.Sum();
-         MPI_Allreduce(&local_sum, y.GetData(), 1, MPI_DOUBLE, MPI_SUM,
-                       op.mesh.GetComm());
-         MFEM_ASSERT(y.Size() == 1, "output size doesn't match kernel description");
-      };
-   }
-   else
-   {
-      auto P = get_prolongation(op.fields[test_space_field_idx]);
-      prolongation_transpose = [P](const Vector &r_local, Vector &y)
-      {
-         P->MultTranspose(r_local, y);
-      };
-   }
-}
-
-template <
-   typename kernels_tuple,
-   size_t num_solutions,
-   size_t num_parameters,
-   size_t num_fields,
-   size_t num_kernels
-   >
-template <
-   size_t derivative_idx
-   >
-template <
-   typename kernel_t
-   >
-void DifferentiableOperator<kernels_tuple,
-     num_solutions,
-     num_parameters,
-     num_fields,
-     num_kernels>::Derivative<derivative_idx>::create_callback(kernel_t kernel,
-                                                               mult_func_t &func)
-{
-   using entity_t = typename kernel_t::entity_t;
-
-   auto kinput_to_field = create_descriptors_to_fields_map<entity_t>(op.fields,
-                                                                     kernel.inputs, std::make_index_sequence<kernel.num_kinputs> {});
-
-   auto koutput_to_field = create_descriptors_to_fields_map<entity_t>(op.fields,
-                                                                      kernel.outputs, std::make_index_sequence<kernel.num_koutputs> {});
-
-   constexpr int hardcoded_output_idx = 0;
-   const int test_space_field_idx = koutput_to_field[hardcoded_output_idx];
-
-   const Operator *R = get_restriction<entity_t>(op.fields[test_space_field_idx],
-                                                 element_dof_ordering);
-
-   auto output_fop = mfem::get<hardcoded_output_idx>(kernel.outputs);
-
-   const int num_elements = GetNumEntities<Entity::Element>(op.mesh);
-   const int num_entities = GetNumEntities<entity_t>(op.mesh);
-   const int num_qp = op.integration_rule.GetNPoints();
-
-   // assume only a single element type for now
-   std::vector<const DofToQuad*> dtq;
-   for (const auto &field : op.fields)
-   {
-      dtq.emplace_back(GetDofToQuad<entity_t>(field, op.integration_rule,
-                                              doftoquad_mode));
-   }
-   const int q1d = dtq[0]->nqpt;
-
-   derivative_action_e.SetSize(R->Height());
-
-   const int da_size_on_qp = GetSizeOnQP<entity_t>(
-                                mfem::get<hardcoded_output_idx>(kernel.outputs),
-                                op.fields[test_space_field_idx]);
-
-   auto input_dtq_maps = create_dtq_maps<entity_t>(kernel.inputs, dtq,
-                                                   kinput_to_field);
-   auto output_dtq_maps = create_dtq_maps<entity_t>(kernel.outputs, dtq,
-                                                    koutput_to_field);
-
-   auto input_fops = create_bare_fops(kernel.inputs);
-   auto output_fops = create_bare_fops(kernel.outputs);
-
-   const int test_vdim = mfem::get<hardcoded_output_idx>(output_fops).vdim;
-   const int test_op_dim =
-      mfem::get<hardcoded_output_idx>(output_fops).size_on_qp /
-      mfem::get<hardcoded_output_idx>(output_fops).vdim;
-   const int num_test_dof = R->Height() /
-                            mfem::get<hardcoded_output_idx>(output_fops).vdim /
-                            num_entities;
-
-   auto ir_weights = Reshape(this->op.integration_rule.GetWeights().Read(),
-                             num_qp);
-
-   auto input_size_on_qp = get_input_size_on_qp(kernel.inputs,
-                                                std::make_index_sequence<kernel.num_kinputs> {});
-
-   // Check which qf inputs are dependent on the dependent variable
-   std::array<bool, kernel.num_kinputs> kinput_is_dependent;
-   bool no_kinput_is_dependent = true;
-   for (int i = 0; i < kinput_is_dependent.size(); i++)
-   {
-      if (kinput_to_field[i] == derivative_idx)
-      {
-         no_kinput_is_dependent = false;
-         kinput_is_dependent[i] = true;
-         // out << "function input " << i << " is dependent on "
-         //     << op.fields[kinput_to_field[i]].field_label << "\n";
-      }
-      else
-      {
-         kinput_is_dependent[i] = false;
-      }
-   }
-
-   bool with_derivatives = true;
-   auto shmem_info = get_shmem_info<entity_t>(input_dtq_maps,
-                                              output_dtq_maps,
-                                              op.fields,
-                                              num_entities,
-                                              kernel.inputs,
-                                              num_qp,
-                                              input_size_on_qp,
-                                              da_size_on_qp,
-                                              derivative_idx);
-
-   Vector shmem_cache(shmem_info.total_size);
-
-   // print_shared_memory_info(shmem_info);
-
-   func = [=](Vector &ye_mem) mutable
-   {
-      if (no_kinput_is_dependent)
-      {
-         return;
-      }
-
-      restriction<entity_t>(direction, direction_l, direction_e,
-                            op.element_dof_ordering);
-
-      auto ye = Reshape(ye_mem.ReadWrite(), num_test_dof, test_vdim, num_entities);
-      auto wrapped_fields_e = wrap_fields(this->fields_e, shmem_info.field_sizes, num_entities);
-      auto wrapped_direction_e = Reshape(direction_e.ReadWrite(), shmem_info.direction_size, num_entities);
-
-      forall([=] MFEM_HOST_DEVICE (int e, double *shmem)
-      {
-         auto input_dtq_shmem = load_dtq_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::INPUT_DTQ],
-            shmem_info.input_dtq_sizes,
-            input_dtq_maps);
-
-         auto output_dtq_shmem = load_dtq_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::OUTPUT_DTQ],
-            shmem_info.output_dtq_sizes,
-            output_dtq_maps);
-
-         auto fields_shmem = load_field_mem(
-            shmem,
-            shmem_info.offsets[SharedMemory::Index::FIELD],
-            shmem_info.field_sizes,
-            kinput_to_field,
-            input_fops,
-            wrapped_fields_e,
-            e,
-         std::make_index_sequence<kernel.num_kinputs> {});
-
-         auto direction_shmem = load_direction_mem(
-                                   shmem,
-                                   shmem_info.offsets[SharedMemory::Index::DIRECTION],
-                                   shmem_info.direction_size,
-                                   wrapped_direction_e,
-                                   e);
-
-         // These methods don't copy, they simply create a `DeviceTensor` object
-         // that points to correct chunks of the shared memory pool.
-         auto input_shmem = load_input_mem(
-                               shmem,
-                               shmem_info.offsets[SharedMemory::Index::INPUT],
-                               shmem_info.input_sizes,
-                               num_qp);
-
-         auto shadow_shmem = load_input_mem(
-                                shmem,
-                                shmem_info.offsets[SharedMemory::Index::SHADOW],
-                                shmem_info.input_sizes,
-                                num_qp);
-
-         auto residual_shmem = load_residual_mem(
-                                  shmem,
-                                  shmem_info.offsets[SharedMemory::Index::OUTPUT],
-                                  shmem_info.residual_size,
-                                  num_qp);
-
-         auto scratch_mem = load_scratch_mem(
-                               shmem,
-                               shmem_info.offsets[SharedMemory::Index::TEMP],
-                               shmem_info.temp_sizes);
-
-         map_fields_to_quadrature_data<TensorProduct>(
-            input_shmem, fields_shmem, input_dtq_shmem, input_fops, ir_weights, scratch_mem,
-            std::make_index_sequence<kernel.num_kinputs> {});
-
-         zero_all(shadow_shmem);
-         map_direction_to_quadrature_data_conditional<TensorProduct>(
-            shadow_shmem, direction_shmem, input_dtq_shmem, input_fops, ir_weights,
-            scratch_mem, kinput_is_dependent,
-            std::make_index_sequence<kernel.num_kinputs> {});
-
-         MFEM_FOREACH_THREAD(qx, x, q1d)
-         {
-            MFEM_FOREACH_THREAD(qy, y, q1d)
-            {
-               MFEM_FOREACH_THREAD(qz, z, q1d)
-               {
-                  const int q = qx + q1d * (qy + q1d * qz);
-
-                  auto kernel_args = decay_tuple<typename kernel_t::kf_param_ts> {};
-                  auto kernel_shadow_args = decay_tuple<typename kernel_t::kf_param_ts> {};
-
-                  auto r = Reshape(&residual_shmem(0, q), da_size_on_qp);
-                  apply_kernel_fwddiff_enzyme(
-                     r,
-                     kernel.func,
-                     kernel_args,
-                     input_shmem,
-                     kernel_shadow_args,
-                     shadow_shmem,
-                     q);
-                  // printf(">>>>> WARNING: AD DISABLED\n");
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-
-         auto fhat = Reshape(&residual_shmem(0, 0), test_vdim, test_op_dim, num_qp);
-         auto y = Reshape(&ye(0, 0, e), num_test_dof, test_vdim);
-         map_quadrature_data_to_fields<TensorProduct>(y, fhat,
-                                                      mfem::get<0>(output_fops),
-                                                      output_dtq_shmem[hardcoded_output_idx],
-                                                      scratch_mem);
-      }, num_entities, q1d, q1d, 1, shmem_info.total_size, shmem_cache.ReadWrite());
-
-      R->MultTranspose(ye_mem, derivative_action_l);
-   };
-
-   if constexpr (std::is_same_v<decltype(output_fop), One>)
-   {
-      prolongation_transpose = [&](Vector &r_local, Vector &y)
-      {
-         double local_sum = r_local.Sum();
-         MPI_Allreduce(&local_sum, y.GetData(), 1, MPI_DOUBLE, MPI_SUM,
-                       op.mesh.GetComm());
-         MFEM_ASSERT(y.Size() == 1, "output size doesn't match kernel description");
-      };
-   }
-   else
-   {
-      auto P = get_prolongation(op.fields[test_space_field_idx]);
-      prolongation_transpose = [P](const Vector &r_local, Vector &y)
-      {
-         P->MultTranspose(r_local, y);
-      };
-   }
-}
-
-// #include "dfem_assemble_vector.icc"
-// #include "dfem_assemble_hypreparmatrix.icc"
-
-}

examples/dfem/dfem_fieldoperator.hpp

@@ -1,118 +0,0 @@
-#pragma once
-
-#include <string>
-
-class FieldOperator
-{
-public:
-   FieldOperator(std::string field_label = "", int size_on_qp = 0) :
-      field_label(field_label),
-      size_on_qp(size_on_qp) {};
-
-   std::string field_label;
-
-   int size_on_qp = -1;
-
-   int dim = -1;
-
-   int vdim = -1;
-};
-
-class None : public FieldOperator
-{
-public:
-   None(std::string field_label) :
-      FieldOperator(field_label) {}
-};
-
-class Weight : public FieldOperator
-{
-public:
-   Weight() : FieldOperator("quadrature_weights") {};
-};
-
-class Value : public FieldOperator
-{
-public:
-   Value(std::string field_label) : FieldOperator(field_label) {};
-};
-
-class Gradient : public FieldOperator
-{
-public:
-   Gradient(std::string field_label) : FieldOperator(field_label) {};
-};
-
-class Curl : public FieldOperator
-{
-public:
-   Curl(std::string field_label) : FieldOperator(field_label) {};
-};
-
-class Div : public FieldOperator
-{
-public:
-   Div(std::string field_label) : FieldOperator(field_label) {};
-};
-
-class FaceValueLeft : public FieldOperator
-{
-public:
-   FaceValueLeft(std::string field_label) : FieldOperator(field_label) {};
-};
-
-class FaceValueRight : public FieldOperator
-{
-public:
-   FaceValueRight(std::string field_label) : FieldOperator(field_label) {};
-};
-
-class FaceNormal : public FieldOperator
-{
-public:
-   FaceNormal(std::string field_label) : FieldOperator(field_label) {};
-};
-
-class One : public FieldOperator
-{
-public:
-   One(std::string field_label) : FieldOperator(field_label) {};
-};
-
-namespace BareFieldOperator
-{
-
-struct Base
-{
-   Base(FieldOperator &o)
-   {
-      size_on_qp = o.size_on_qp;
-      dim = o.dim;
-      vdim = o.vdim;
-   };
-   int size_on_qp = -1;
-   int dim = -1;
-   int vdim = -1;
-};
-
-struct None : Base
-{
-   None(FieldOperator &o) : Base(o) {}
-};
-
-struct Weight : Base
-{
-   Weight(FieldOperator &o) : Base(o) {}
-};
-
-struct Value : Base
-{
-   Value(FieldOperator &o) : Base(o) {}
-};
-
-struct Gradient : Base
-{
-   Gradient(FieldOperator &o) : Base(o) {}
-};
-
-}

examples/dfem/dfem_integrate.hpp

@@ -1,292 +0,0 @@
-#pragma once
-
-#include "dfem_util.hpp"
-#include <type_traits>
-
-namespace mfem
-{
-
-template <typename output_t>
-MFEM_HOST_DEVICE
-void map_quadrature_data_to_fields_impl(DeviceTensor<2, double> &y,
-                                        const DeviceTensor<3, double> &f,
-                                        const output_t &output,
-                                        const DofToQuadMap &dtq)
-{
-   auto B = dtq.B;
-   auto G = dtq.G;
-   // assuming the quadrature point residual has to "play nice with
-   // the test function"
-   if constexpr (std::is_same_v<std::decay_t<output_t>, BareFieldOperator::Value>)
-   {
-      const auto [num_qp, cdim, num_dof] = B.GetShape();
-      const int vdim = output.vdim > 0 ? output.vdim : cdim ;
-      for (int dof = 0; dof < num_dof; dof++)
-      {
-         for (int vd = 0; vd < vdim; vd++)
-         {
-            double acc = 0.0;
-            for (int qp = 0; qp < num_qp; qp++)
-            {
-               acc += B(qp, 0, dof) * f(vd, 0, qp);
-            }
-            y(dof, vd) += acc;
-         }
-      }
-   }
-   else if constexpr (
-      std::is_same_v<std::decay_t<output_t>, BareFieldOperator::Gradient>)
-   {
-      const auto [num_qp, dim, num_dof] = G.GetShape();
-      const int vdim = output.vdim;
-      for (int dof = 0; dof < num_dof; dof++)
-      {
-         for (int vd = 0; vd < vdim; vd++)
-         {
-            double acc = 0.0;
-            for (int d = 0; d < dim; d++)
-            {
-               for (int qp = 0; qp < num_qp; qp++)
-               {
-                  acc += G(qp, d, dof) * f(vd, d, qp);
-               }
-            }
-            y(dof, vd) += acc;
-         }
-      }
-   }
-   // else if constexpr (std::is_same_v<std::decay_t<output_t>, One>)
-   // {
-   //    // This is the "integral over all quadrature points type" applying
-   //    // B = 1 s.t. B^T * C \in R^1.
-   //    const auto [a, b, num_qp] = B.GetShape();
-   //    auto cc = Reshape(&c(0, 0, 0), num_qp);
-   //    for (int i = 0; i < num_qp; i++)
-   //    {
-   //       y(0, 0) += cc(i);
-   //    }
-   // }
-   else if constexpr (
-      std::is_same_v<std::decay_t<output_t>, BareFieldOperator::None>)
-   {
-      const auto [vdim, dim, num_qp] = G.GetShape();
-      auto cc = Reshape(&f(0, 0, 0), num_qp * vdim);
-      auto yy = Reshape(&y(0, 0), num_qp * vdim);
-      for (int i = 0; i < num_qp * vdim; i++)
-      {
-         yy(i) = cc(i);
-      }
-   }
-   else
-   {
-      MFEM_ABORT("quadrature data mapping to field is not implemented for"
-                 " this field descriptor");
-   }
-}
-
-template <typename output_t>
-MFEM_HOST_DEVICE
-void map_quadrature_data_to_fields_tensor_impl(DeviceTensor<2, double> &y,
-                                               const DeviceTensor<3, double> &f,
-                                               const output_t &output,
-                                               const DofToQuadMap &dtq,
-                                               std::array<DeviceTensor<1>, 6> &scratch_mem)
-{
-   auto B = dtq.B;
-   auto G = dtq.G;
-
-   if constexpr (std::is_same_v<std::decay_t<output_t>, BareFieldOperator::Value>)
-   {
-      const auto [q1d, unused, d1d] = B.GetShape();
-      const int vdim = output.vdim;
-      const int test_dim = output.size_on_qp / vdim;
-
-      auto fqp = Reshape(&f(0, 0, 0), vdim, test_dim, q1d, q1d, q1d);
-      auto yd = Reshape(&y(0, 0), d1d, d1d, d1d, vdim);
-
-      auto s0 = Reshape(&scratch_mem[0](0), q1d, q1d, d1d);
-      auto s1 = Reshape(&scratch_mem[1](0), q1d, d1d, d1d);
-
-      for (int vd = 0; vd < vdim; vd++)
-      {
-         MFEM_FOREACH_THREAD(qy, y, q1d)
-         {
-            MFEM_FOREACH_THREAD(dx, x, d1d)
-            {
-               MFEM_FOREACH_THREAD(qz, z, q1d)
-               {
-                  double acc = 0.0;
-                  for (int qx = 0; qx < q1d; qx++)
-                  {
-                     acc += fqp(vd, 0, qx, qy, qz) * B(qx, 0, dx);
-                  }
-                  s0(qz, qy, dx) = acc;
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-
-         MFEM_FOREACH_THREAD(dy, y, d1d)
-         {
-            MFEM_FOREACH_THREAD(dx, x, d1d)
-            {
-               MFEM_FOREACH_THREAD(qz, z, q1d)
-               {
-                  double acc = 0.0;
-                  for (int qy = 0; qy < q1d; qy++)
-                  {
-                     acc += s0(qz, qy, dx) * B(qy, 0, dy);
-                  }
-                  s1(qz, dy, dx) = acc;
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-
-
-         MFEM_FOREACH_THREAD(dy, y, d1d)
-         {
-            MFEM_FOREACH_THREAD(dx, x, d1d)
-            {
-               MFEM_FOREACH_THREAD(dz, z, d1d)
-               {
-                  double acc = 0.0;
-                  for (int qz = 0; qz < q1d; qz++)
-                  {
-                     acc += s1(qz, dy, dx) * B(qz, 0, dz);
-                  }
-                  yd(dx, dy, dz, vd) += acc;
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-      }
-   }
-   else if constexpr (
-      std::is_same_v<std::decay_t<output_t>, BareFieldOperator::Gradient>)
-   {
-      const auto [q1d, unused, d1d] = G.GetShape();
-      const int vdim = output.vdim;
-      const int test_dim = output.size_on_qp / vdim;
-      auto fqp = Reshape(&f(0, 0, 0), vdim, test_dim, q1d, q1d, q1d);
-      auto yd = Reshape(&y(0, 0), d1d, d1d, d1d, vdim);
-
-      auto s0 = Reshape(&scratch_mem[0](0), q1d, q1d, d1d);
-      auto s1 = Reshape(&scratch_mem[1](0), q1d, q1d, d1d);
-      auto s2 = Reshape(&scratch_mem[2](0), q1d, q1d, d1d);
-      auto s3 = Reshape(&scratch_mem[3](0), q1d, d1d, d1d);
-      auto s4 = Reshape(&scratch_mem[4](0), q1d, d1d, d1d);
-      auto s5 = Reshape(&scratch_mem[5](0), q1d, d1d, d1d);
-
-      for (int vd = 0; vd < vdim; vd++)
-      {
-         MFEM_FOREACH_THREAD(qz, z, q1d)
-         {
-            MFEM_FOREACH_THREAD(qy, y, q1d)
-            {
-               MFEM_FOREACH_THREAD(dx, x, d1d)
-               {
-                  real_t uvw[3] = {0.0, 0.0, 0.0};
-                  for (int qx = 0; qx < q1d; qx++)
-                  {
-                     uvw[0] += fqp(vd, 0, qx, qy, qz) * G(qx, 0, dx);
-                     uvw[1] += fqp(vd, 1, qx, qy, qz) * B(qx, 0, dx);
-                     uvw[2] += fqp(vd, 2, qx, qy, qz) * B(qx, 0, dx);
-                  }
-                  s0(qz, qy, dx) = uvw[0];
-                  s1(qz, qy, dx) = uvw[1];
-                  s2(qz, qy, dx) = uvw[2];
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-
-         MFEM_FOREACH_THREAD(qz, z, q1d)
-         {
-            MFEM_FOREACH_THREAD(dy, y, d1d)
-            {
-               MFEM_FOREACH_THREAD(dx, x, d1d)
-               {
-                  real_t uvw[3] = {0.0, 0.0, 0.0};
-                  for (int qy = 0; qy < q1d; qy++)
-                  {
-                     uvw[0] += s0(qz, qy, dx) * B(qy, 0, dy);
-                     uvw[1] += s1(qz, qy, dx) * G(qy, 0, dy);
-                     uvw[2] += s2(qz, qy, dx) * B(qy, 0, dy);
-                  }
-                  s3(qz, dy, dx) = uvw[0];
-                  s4(qz, dy, dx) = uvw[1];
-                  s5(qz, dy, dx) = uvw[2];
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-
-         MFEM_FOREACH_THREAD(dz, z, d1d)
-         {
-            MFEM_FOREACH_THREAD(dy, y, d1d)
-            {
-               MFEM_FOREACH_THREAD(dx, x, d1d)
-               {
-                  real_t uvw[3] = {0.0, 0.0, 0.0};
-                  for (int qz = 0; qz < q1d; qz++)
-                  {
-                     uvw[0] += s3(qz, dy, dx) * B(qz, 0, dz);
-                     uvw[1] += s4(qz, dy, dx) * B(qz, 0, dz);
-                     uvw[2] += s5(qz, dy, dx) * G(qz, 0, dz);
-                  }
-                  yd(dx, dy, dz, vd) += uvw[0] + uvw[1] + uvw[2];
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-      }
-   }
-   else if constexpr (
-      std::is_same_v<std::decay_t<output_t>, BareFieldOperator::None>)
-   {
-      const auto [q1d, unused, d1d] = B.GetShape();
-      auto fqp = Reshape(&f(0, 0, 0), output.size_on_qp, q1d, q1d, q1d);
-      auto yqp = Reshape(&y(0, 0), output.size_on_qp, q1d, q1d, q1d);
-
-      for (int sq = 0; sq < output.size_on_qp; sq++)
-      {
-         MFEM_FOREACH_THREAD(qx, x, q1d)
-         {
-            MFEM_FOREACH_THREAD(qy, y, q1d)
-            {
-               MFEM_FOREACH_THREAD(qz, z, q1d)
-               {
-                  yqp(sq, qx, qy, qz) = fqp(sq, qx, qy, qz);
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-      }
-   }
-   else
-   {
-      MFEM_ABORT("quadrature data mapping to field is not implemented for"
-                 " this field descriptor with sum factorization on tensor product elements");
-   }
-}
-
-template <typename T = NonTensorProduct, typename output_t>
-MFEM_HOST_DEVICE
-void map_quadrature_data_to_fields(DeviceTensor<2, double> &y,
-                                   const DeviceTensor<3, double> &f,
-                                   const output_t &output,
-                                   const DofToQuadMap &dtq,
-                                   std::array<DeviceTensor<1>, 6> &scratch_mem)
-{
-   if constexpr (std::is_same_v<T, NonTensorProduct>)
-   {
-      map_quadrature_data_to_fields_impl(y, f, output, dtq);
-   }
-   else if constexpr (std::is_same_v<T, TensorProduct>)
-   {
-      map_quadrature_data_to_fields_tensor_impl(y, f, output, dtq, scratch_mem);
-   }
-}
-
-}

examples/dfem/dfem_interpolate.hpp

@@ -1,400 +0,0 @@
-#pragma once
-
-#include "dfem_util.hpp"
-#include <type_traits>
-
-namespace mfem
-{
-
-template <typename field_operator_t>
-MFEM_HOST_DEVICE inline
-void map_field_to_quadrature_data_tensor_product(
-   DeviceTensor<2> &field_qp,
-   const DofToQuadMap &dtq,
-   const DeviceTensor<1> &field_e,
-   const field_operator_t &input,
-   const DeviceTensor<1, const double> &integration_weights,
-   const std::array<DeviceTensor<1>, 6> &scratch_mem)
-{
-   auto B = dtq.B;
-   auto G = dtq.G;
-
-   if constexpr (
-      std::is_same_v<std::decay_t<field_operator_t>, BareFieldOperator::Value>)
-   {
-      auto [q1d, unused, d1d] = B.GetShape();
-      const int vdim = input.vdim;
-      const auto field = Reshape(&field_e[0], d1d, d1d, d1d, vdim);
-      auto fqp = Reshape(&field_qp[0], vdim, q1d, q1d, q1d);
-      auto s0 = Reshape(&scratch_mem[0](0), d1d, d1d, q1d);
-      auto s1 = Reshape(&scratch_mem[1](0), d1d, q1d, q1d);
-
-      for (int vd = 0; vd < vdim; vd++)
-      {
-         MFEM_FOREACH_THREAD(dz, z, d1d)
-         {
-            MFEM_FOREACH_THREAD(dy, y, d1d)
-            {
-               MFEM_FOREACH_THREAD(qx, x, q1d)
-               {
-                  double acc = 0.0;
-                  for (int dx = 0; dx < d1d; dx++)
-                  {
-                     acc += B(qx, 0, dx) * field(dx, dy, dz, vd);
-                  }
-                  s0(dz, dy, qx) = acc;
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-
-         MFEM_FOREACH_THREAD(dz, z, d1d)
-         {
-            MFEM_FOREACH_THREAD(qx, x, q1d)
-            {
-               MFEM_FOREACH_THREAD(qy, y, q1d)
-               {
-                  double acc = 0.0;
-                  for (int dy = 0; dy < d1d; dy++)
-                  {
-                     acc += s0(dz, dy, qx) * B(qy, 0, dy);
-                  }
-                  s1(dz, qy, qx) = acc;
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-
-         MFEM_FOREACH_THREAD(qz, z, q1d)
-         {
-            MFEM_FOREACH_THREAD(qy, y, q1d)
-            {
-               MFEM_FOREACH_THREAD(qx, x, q1d)
-               {
-                  double acc = 0.0;
-                  for (int dz = 0; dz < d1d; dz++)
-                  {
-                     acc += s1(dz, qy, qx) * B(qz, 0, dz);
-                  }
-                  fqp(vd, qx, qy, qz) = acc;
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-      }
-   }
-   else if constexpr (
-      std::is_same_v<std::decay_t<field_operator_t>, BareFieldOperator::Gradient>)
-   {
-      const auto [q1d, unused, d1d] = B.GetShape();
-      const int vdim = input.vdim;
-      const int dim = input.dim;
-      const auto field = Reshape(&field_e[0], d1d, d1d, d1d, vdim);
-      auto fqp = Reshape(&field_qp[0], vdim, dim, q1d, q1d, q1d);
-
-      auto s0 = Reshape(&scratch_mem[0](0), d1d, d1d, q1d);
-      auto s1 = Reshape(&scratch_mem[1](0), d1d, d1d, q1d);
-      auto s2 = Reshape(&scratch_mem[2](0), d1d, q1d, q1d);
-      auto s3 = Reshape(&scratch_mem[3](0), d1d, q1d, q1d);
-      auto s4 = Reshape(&scratch_mem[4](0), d1d, q1d, q1d);
-
-      for (int vd = 0; vd < vdim; vd++)
-      {
-         MFEM_FOREACH_THREAD(dz, z, d1d)
-         {
-            MFEM_FOREACH_THREAD(dy, y, d1d)
-            {
-               MFEM_FOREACH_THREAD(qx, x, q1d)
-               {
-                  real_t uv[2] = {0.0, 0.0};
-                  for (int dx = 0; dx < d1d; dx++)
-                  {
-                     const real_t f = field(dx, dy, dz, vd);
-                     uv[0] += f * B(qx, 0, dx);
-                     uv[1] += f * G(qx, 0, dx);
-                  }
-                  s0(dz, dy, qx) = uv[0];
-                  s1(dz, dy, qx) = uv[1];
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-
-         MFEM_FOREACH_THREAD(dz, z, d1d)
-         {
-            MFEM_FOREACH_THREAD(qy, y, q1d)
-            {
-               MFEM_FOREACH_THREAD(qx, x, q1d)
-               {
-                  real_t uvw[3] = {0.0, 0.0, 0.0};
-                  for (int dy = 0; dy < d1d; dy++)
-                  {
-                     const real_t s0i = s0(dz, dy, qx);
-                     uvw[0] += s1(dz, dy, qx) * B(qy, 0, dy);
-                     uvw[1] += s0i * G(qy, 0, dy);
-                     uvw[2] += s0i * B(qy, 0, dy);
-                  }
-                  s2(dz, qy, qx) = uvw[0];
-                  s3(dz, qy, qx) = uvw[1];
-                  s4(dz, qy, qx) = uvw[2];
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-
-         MFEM_FOREACH_THREAD(qz, z, q1d)
-         {
-            MFEM_FOREACH_THREAD(qy, y, q1d)
-            {
-               MFEM_FOREACH_THREAD(qx, x, q1d)
-               {
-                  real_t uvw[3] = {0.0, 0.0, 0.0};
-                  for (int dz = 0; dz < d1d; dz++)
-                  {
-                     uvw[0] += s2(dz, qy, qx) * B(qz, 0, dz);
-                     uvw[1] += s3(dz, qy, qx) * B(qz, 0, dz);
-                     uvw[2] += s4(dz, qy, qx) * G(qz, 0, dz);
-                  }
-                  fqp(vd, 0, qx, qy, qz) = uvw[0];
-                  fqp(vd, 1, qx, qy, qz) = uvw[1];
-                  fqp(vd, 2, qx, qy, qz) = uvw[2];
-               }
-            }
-         }
-         MFEM_SYNC_THREAD;
-      }
-   }
-   // TODO: Create separate function for clarity
-   else if constexpr (
-      std::is_same_v<std::decay_t<field_operator_t>, BareFieldOperator::Weight>)
-   {
-      const int num_qp = integration_weights.GetShape()[0];
-      // TODO: eeek
-      const int q1d = (int)floor(pow(num_qp, 1.0/input.dim) + 0.5);
-      auto w = Reshape(&integration_weights[0], q1d, q1d, q1d);
-      auto f = Reshape(&field_qp[0], q1d, q1d, q1d);
-      MFEM_FOREACH_THREAD(qx, x, q1d)
-      {
-         MFEM_FOREACH_THREAD(qy, y, q1d)
-         {
-            MFEM_FOREACH_THREAD(qz, z, q1d)
-            {
-               f(qx, qy, qz) = w(qx, qy, qz);
-            }
-         }
-      }
-      MFEM_SYNC_THREAD;
-   }
-   else if constexpr (
-      std::is_same_v<std::decay_t<field_operator_t>, BareFieldOperator::None>)
-   {
-      const int q1d = B.GetShape()[0];
-      auto field = Reshape(&field_e[0], input.size_on_qp, q1d * q1d * q1d);
-      field_qp = field;
-   }
-   else
-   {
-      static_assert(always_false<std::decay_t<field_operator_t>>,
-                    "can't map field to quadrature data");
-   }
-}
-
-
-template <typename field_operator_t>
-MFEM_HOST_DEVICE
-void map_field_to_quadrature_data(
-   DeviceTensor<2> field_qp,
-   const DofToQuadMap &dtq,
-   const DeviceTensor<1, const double> &field_e,
-   field_operator_t &input,
-   DeviceTensor<1, const double> integration_weights)
-{
-   auto B = dtq.B;
-   auto G = dtq.G;
-   if constexpr (std::is_same_v<field_operator_t, BareFieldOperator::Value>)
-   {
-      auto [num_qp, dim, num_dof] = B.GetShape();
-      const int vdim = input.vdim;
-      const auto field = Reshape(&field_e(0), num_dof, vdim);
-
-      for (int vd = 0; vd < vdim; vd++)
-      {
-         for (int qp = 0; qp < num_qp; qp++)
-         {
-            double acc = 0.0;
-            for (int dof = 0; dof < num_dof; dof++)
-            {
-               acc += B(qp, 0, dof) * field(dof, vd);
-            }
-            field_qp(vd, qp) = acc;
-         }
-      }
-   }
-   else if constexpr (
-      std::is_same_v<field_operator_t, BareFieldOperator::Gradient>)
-   {
-      const auto [num_qp, dim, num_dof] = G.GetShape();
-      const int vdim = input.vdim;
-      const auto field = Reshape(&field_e(0), num_dof, vdim);
-
-      auto f = Reshape(&field_qp[0], vdim, dim, num_qp);
-      for (int qp = 0; qp < num_qp; qp++)
-      {
-         for (int vd = 0; vd < vdim; vd++)
-         {
-            for (int d = 0; d < dim; d++)
-            {
-               double acc = 0.0;
-               for (int dof = 0; dof < num_dof; dof++)
-               {
-                  acc += G(qp, d, dof) * field(dof, vd);
-               }
-               f(vd, d, qp) = acc;
-            }
-         }
-      }
-   }
-   // else if constexpr (std::is_same_v<field_operator_t, FaceNormal>)
-   // {
-   //    auto normal = geometric_factors.normal;
-   //    auto [num_qp, dim, num_entities] = normal.GetShape();
-   //    auto f = Reshape(&field_qp[0], dim, num_qp);
-   //    for (int qp = 0; qp < num_qp; qp++)
-   //    {
-   //       for (int d = 0; d < dim; d++)
-   //       {
-   //          f(d, qp) = normal(qp, d, entity_idx);
-   //       }
-   //    }
-   // }
-   // TODO: Create separate function for clarity
-   else if constexpr (std::is_same_v<field_operator_t, BareFieldOperator::Weight>)
-   {
-      const int num_qp = integration_weights.GetShape()[0];
-      auto f = Reshape(&field_qp[0], num_qp);
-      for (int qp = 0; qp < num_qp; qp++)
-      {
-         f(qp) = integration_weights(qp);
-      }
-   }
-   else if constexpr (std::is_same_v<field_operator_t, BareFieldOperator::None>)
-   {
-      auto [num_qp, unused, num_dof] = B.GetShape();
-      const int size_on_qp = input.size_on_qp;
-      const auto field = Reshape(&field_e[0], size_on_qp * num_qp);
-      auto f = Reshape(&field_qp[0], size_on_qp * num_qp);
-      for (int i = 0; i < size_on_qp * num_qp; i++)
-      {
-         f(i) = field(i);
-      }
-   }
-   else
-   {
-      static_assert(always_false<field_operator_t>,
-                    "can't map field to quadrature data");
-
-   }
-}
-
-template <typename T = NonTensorProduct, size_t num_kinputs, typename field_operator_ts, std::size_t... i>
-MFEM_HOST_DEVICE inline
-void map_fields_to_quadrature_data(
-   std::array<DeviceTensor<2>, num_kinputs> &fields_qp,
-   const std::array<DeviceTensor<1>, num_kinputs> &fields_e,
-   const std::array<DofToQuadMap, num_kinputs> &dtqmaps,
-   const field_operator_ts &fops,
-   const DeviceTensor<1, const double> &integration_weights,
-   const std::array<DeviceTensor<1>, 6> &scratch_mem,
-   std::index_sequence<i...>)
-{
-   if constexpr (std::is_same_v<T, TensorProduct>)
-   {
-
-      (map_field_to_quadrature_data_tensor_product(fields_qp[i],
-                                                   dtqmaps[i], fields_e[i],
-                                                   mfem::get<i>(fops), integration_weights,
-                                                   scratch_mem),
-       ...);
-   }
-   else
-   {
-      (map_field_to_quadrature_data(fields_qp[i],
-                                    dtqmaps[i], fields_e[i],
-                                    mfem::get<i>(fops), integration_weights),
-       ...);
-   }
-}
-
-template <typename T, typename field_operator_t>
-MFEM_HOST_DEVICE
-void map_field_to_quadrature_data_conditional(
-   DeviceTensor<2> &field_qp,
-   const DeviceTensor<1> &field_e,
-   const DofToQuadMap &dtqmap,
-   field_operator_t &fop,
-   const DeviceTensor<1, const double> &integration_weights,
-   const std::array<DeviceTensor<1>, 6> &scratch_mem,
-   const bool &condition)
-{
-   if (condition)
-   {
-      if constexpr (std::is_same_v<T, TensorProduct>)
-      {
-         map_field_to_quadrature_data_tensor_product(field_qp, dtqmap,
-                                                     field_e, fop,
-                                                     integration_weights,
-                                                     scratch_mem);
-      }
-      else
-      {
-         map_field_to_quadrature_data(field_qp, dtqmap, field_e, fop,
-                                      integration_weights);
-      }
-   }
-}
-
-template <typename T = NonTensorProduct, size_t num_fields, size_t num_kinputs, typename field_operator_ts, std::size_t... i>
-MFEM_HOST_DEVICE
-void map_fields_to_quadrature_data_conditional(
-   std::array<DeviceTensor<2>, num_kinputs> &fields_qp,
-   const std::array<DeviceTensor<1, const double>, num_fields> &fields_e,
-   const std::array<DofToQuadMap, num_kinputs> &dtqmaps,
-   field_operator_ts fops,
-   const DeviceTensor<1, const double> &integration_weights,
-   const std::array<DeviceTensor<1>, 6> &scratch_mem,
-   const std::array<bool, num_kinputs> &conditions,
-   std::index_sequence<i...>)
-{
-   (map_field_to_quadrature_data_conditional<T>(fields_qp[i],
-                                                fields_e[i],
-                                                dtqmaps[i],
-                                                mfem::get<i>(fops),
-                                                integration_weights,
-                                                scratch_mem,
-                                                conditions[i]),
-    ...);
-}
-
-template <typename T = NonTensorProduct, size_t num_kinputs, typename field_operator_ts, std::size_t... i>
-MFEM_HOST_DEVICE
-void map_direction_to_quadrature_data_conditional(
-   std::array<DeviceTensor<2>, num_kinputs> &directions_qp,
-   const DeviceTensor<1> &direction_e,
-   const std::array<DofToQuadMap, num_kinputs> &dtqmaps,
-   field_operator_ts fops,
-   const DeviceTensor<1, const double> &integration_weights,
-   const std::array<DeviceTensor<1>, 6> &scratch_mem,
-   const std::array<bool, num_kinputs> &conditions,
-   std::index_sequence<i...>)
-{
-   (map_field_to_quadrature_data_conditional<T>(directions_qp[i],
-                                                direction_e,
-                                                dtqmaps[i],
-                                                mfem::get<i>(fops),
-                                                integration_weights,
-                                                scratch_mem,
-                                                conditions[i]),
-    ...);
-}
-
-}

examples/dfem/dfem_parametricspace.hpp

@@ -1,99 +0,0 @@
-#pragma once
-
-#include <mfem.hpp>
-
-namespace mfem
-{
-
-class ParametricSpace
-{
-
-public:
-   ParametricSpace(int spatial_dim, int local_size, int element_size,
-                   int total_size) :
-      spatial_dim(spatial_dim),
-      local_size(local_size),
-      element_size(element_size),
-      total_size(total_size),
-      identity(total_size)
-   {
-      dtq.ndof = (int)floor(pow(element_size, 1.0/spatial_dim) + 0.5);
-      dtq.nqpt = dtq.ndof;
-   }
-
-   ParametricSpace(int local_size) :
-      local_size(local_size),
-      element_size(local_size),
-      total_size(local_size),
-      identity(local_size)
-   {
-      dtq.ndof = (int)floor(pow(element_size, 1.0/spatial_dim) + 0.5);
-      dtq.nqpt = dtq.ndof;
-   }
-
-   int Dimension() const
-   {
-      return spatial_dim;
-   }
-
-   int GetLocalSize() const
-   {
-      return local_size;
-   }
-
-   int GetElementSize() const
-   {
-      return element_size;
-   }
-
-   int GetTotalSize() const
-   {
-      return total_size;
-   }
-
-   const DofToQuad &GetDofToQuad() const
-   {
-      return dtq;
-   }
-
-   const Operator *GetProlongation() const
-   {
-      return &identity;
-   }
-
-   const Operator *GetRestriction() const
-   {
-      return &identity;
-   }
-
-private:
-   int spatial_dim;
-
-   // Hint for the local dimension. E.g. the size on the quadrature point or vdim.
-   int local_size;
-
-   // Size of the data on an element
-   int element_size;
-
-   int total_size;
-
-   IdentityOperator identity;
-
-   DofToQuad dtq;
-};
-
-class ParametricFunction : public Vector
-{
-public:
-   ParametricFunction(ParametricSpace &space) :
-      Vector(space.GetTotalSize()),
-      space(space)
-   {}
-
-   ParametricSpace &space;
-
-   using Vector::operator=;
-
-};
-
-}

examples/dfem/dfem_qfunction.hpp

@@ -1,268 +0,0 @@
-#pragma once
-#include "dfem_util.hpp"
-
-namespace mfem
-{
-
-MFEM_HOST_DEVICE inline
-void process_kf_arg(
-   const DeviceTensor<1> &u,
-   double &arg)
-{
-   arg = u(0);
-}
-
-MFEM_HOST_DEVICE inline
-void process_kf_arg(
-   const DeviceTensor<1> &u,
-   internal::tensor<double> &arg)
-{
-   arg(0) = u(0);
-}
-
-template <typename T, int n>
-MFEM_HOST_DEVICE
-void process_kf_arg(
-   const DeviceTensor<1> &u,
-   internal::tensor<T, n> &arg)
-{
-   for (int i = 0; i < n; i++)
-   {
-      arg(i) = u(i);
-   }
-}
-
-template <int n, int m>
-MFEM_HOST_DEVICE
-void process_kf_arg(
-   const DeviceTensor<1> &u,
-   internal::tensor<double, n, m> &arg)
-{
-   for (int i = 0; i < m; i++)
-   {
-      for (int j = 0; j < n; j++)
-      {
-         arg(j, i) = u((i * m) + j);
-      }
-   }
-   // assuming col major layout. translating to row major.
-   // i + N_i*j
-   // arg(0, 0) = u(0);
-   // arg(0, 1) = u(0 + 2 * 1);
-   // arg(1, 0) = u(1 + 2 * 0);
-   // arg(1, 1) = u(1 + 2 * 1);
-}
-
-template <typename arg_type>
-MFEM_HOST_DEVICE
-void process_kf_arg(const DeviceTensor<2> &u, arg_type &arg, int qp)
-{
-   // out << "qp: " << qp << "\n";
-   // for (int i = 0; i < u.GetShape()[0] * u.GetShape()[1]; i++)
-   // {
-   //    out << (&u(0, 0))[i] << " ";
-   // }
-   // out << "\n";
-
-   const auto u_qp = Reshape(&u(0, qp), u.GetShape()[0]);
-   // for (int i = 0; i < u_qp.GetShape()[0]; i++)
-   // {
-   //    out << (&u_qp(0))[i] << " ";
-   // }
-   // out << "\n";
-
-   process_kf_arg(u_qp, arg);
-}
-
-template <size_t num_fields, typename kf_args, std::size_t... i>
-MFEM_HOST_DEVICE
-void process_kf_args(const std::array<DeviceTensor<2>, num_fields> &u,
-                     kf_args &args, int qp, std::index_sequence<i...>)
-{
-   (process_kf_arg(u[i], mfem::get<i>(args), qp), ...);
-}
-
-template <typename T0, typename T1> inline
-Vector process_kf_result(T0, T1)
-{
-   static_assert(always_false<T0, T1>,
-                 "process_kf_result not implemented for result type");
-}
-
-template <typename T>
-MFEM_HOST_DEVICE inline
-void process_kf_result(
-   DeviceTensor<1, T> &r,
-   const double &x)
-{
-   r(0) = x;
-}
-
-template <typename T>
-MFEM_HOST_DEVICE inline
-void process_kf_result(
-   DeviceTensor<1, T> &r,
-   const internal::tensor<T> &x)
-{
-   r(0) = x(0);
-}
-
-template <typename T, int n>
-MFEM_HOST_DEVICE inline
-void process_kf_result(
-   DeviceTensor<1, T> &r,
-   const internal::tensor<T, n> &x)
-{
-   for (size_t i = 0; i < n; i++)
-   {
-      r(i) = x(i);
-   }
-}
-
-template <typename T, int n, int m>
-MFEM_HOST_DEVICE inline
-void process_kf_result(
-   DeviceTensor<1, T> &r,
-   const internal::tensor<T, n, m> &x)
-{
-   // out << "x: " << x << "\n";
-   for (size_t i = 0; i < n; i++)
-   {
-      for (size_t j = 0; j < m; j++)
-      {
-         r(i + n * j) = x(i, j);
-      }
-   }
-
-   // out << "r: ";
-   // for (int i = 0; i < r.GetShape()[0]; i++)
-   // {
-   //    out << r(i) << " ";
-   // }
-   // out << "\n\n";
-}
-
-template <typename T> inline
-void process_kf_arg(const DeviceTensor<1> &u, const DeviceTensor<1> &v,
-                    double &arg)
-{
-   arg = u(0);
-}
-
-template <int n, int m> inline
-void process_kf_arg(const DeviceTensor<1> &u, const DeviceTensor<1> &v,
-                    internal::tensor<double, n, m> &arg)
-{
-   for (int i = 0; i < m; i++)
-   {
-      for (int j = 0; j < n; j++)
-      {
-         arg(j, i) = u((i * m) + j);
-      }
-   }
-}
-
-template <typename arg_type> inline
-void process_kf_arg(const DeviceTensor<2> &u, const DeviceTensor<2> &v,
-                    arg_type &arg, int qp)
-{
-   const auto u_qp = Reshape(&u(0, qp), u.GetShape()[0]);
-   const auto v_qp = Reshape(&v(0, qp), v.GetShape()[0]);
-   process_kf_arg(u_qp, v_qp, arg);
-}
-
-template <size_t num_fields, typename kf_args, std::size_t... i> inline
-void process_kf_args(std::array<DeviceTensor<2>, num_fields> &u,
-                     std::array<DeviceTensor<2>, num_fields> &v,
-                     kf_args &args, int qp, std::index_sequence<i...>)
-{
-   (process_kf_arg(u[i], v[i], mfem::get<i>(args), qp), ...);
-}
-
-template <typename kernel_func_t, typename kernel_args_ts, size_t num_args>
-MFEM_HOST_DEVICE inline
-void apply_kernel(
-   DeviceTensor<1, double> &f_qp,
-   const kernel_func_t &kf,
-   kernel_args_ts &args,
-   const std::array<DeviceTensor<2>, num_args> &u,
-   int qp)
-{
-   process_kf_args(u, args, qp,
-                   std::make_index_sequence<mfem::tuple_size<kernel_args_ts>::value> {});
-
-   process_kf_result(f_qp, mfem::get<0>(mfem::apply(kf, args)));
-}
-
-// Version for active function arguments only
-//
-// This is an Enzyme regression and can be removed in later versions.
-template <typename kernel_t, typename arg_ts, std::size_t... Is,
-          typename inactive_arg_ts>
-inline auto fwddiff_apply_enzyme_indexed(kernel_t kernel, arg_ts &&args,
-                                         arg_ts &&shadow_args,
-                                         std::index_sequence<Is...>,
-                                         inactive_arg_ts &&inactive_args,
-                                         std::index_sequence<>)
-{
-   using kf_return_t = typename create_function_signature<
-                       decltype(&kernel_t::operator())>::type::return_t;
-   return __enzyme_fwddiff<kf_return_t>(
-             +kernel, enzyme_dup, &mfem::get<Is>(args)..., enzyme_interleave,
-             &mfem::get<Is>(shadow_args)...);
-}
-
-// Interleave function arguments for enzyme
-template <typename kernel_t, typename arg_ts, std::size_t... Is,
-          typename inactive_arg_ts, std::size_t... Js>
-inline auto fwddiff_apply_enzyme_indexed(kernel_t kernel, arg_ts &&args,
-                                         arg_ts &&shadow_args,
-                                         std::index_sequence<Is...>,
-                                         inactive_arg_ts &&inactive_args,
-                                         std::index_sequence<Js...>)
-{
-   using kf_return_t = typename create_function_signature<
-                       decltype(&kernel_t::operator())>::type::return_t;
-   return __enzyme_fwddiff<kf_return_t>(
-             +kernel, enzyme_dup, &std::get<Is>(args)..., enzyme_const,
-             &mfem::get<Js>(inactive_args)..., enzyme_interleave,
-             &mfem::get<Is>(shadow_args)...);
-}
-
-template <typename kernel_t, typename arg_ts, typename inactive_arg_ts>
-inline auto fwddiff_apply_enzyme(kernel_t kernel, arg_ts &&args,
-                                 arg_ts &&shadow_args,
-                                 inactive_arg_ts &&inactive_args)
-{
-   auto arg_indices = std::make_index_sequence<
-                      mfem::tuple_size<std::remove_reference_t<arg_ts>>::value> {};
-
-   auto inactive_arg_indices = std::make_index_sequence<
-                               mfem::tuple_size<std::remove_reference_t<inactive_arg_ts>>::value> {};
-
-   return fwddiff_apply_enzyme_indexed(kernel, args, shadow_args, arg_indices,
-                                       inactive_args, inactive_arg_indices);
-}
-
-template <typename kf_t, typename kernel_arg_ts, size_t num_args>
-MFEM_HOST_DEVICE inline
-void apply_kernel_fwddiff_enzyme(
-   DeviceTensor<1, double> &f_qp,
-   const kf_t &kf,
-   kernel_arg_ts &args,
-   const std::array<DeviceTensor<2>, num_args> &u,
-   kernel_arg_ts &shadow_args,
-   const std::array<DeviceTensor<2>, num_args> &v,
-   int qp_idx)
-{
-   process_kf_args(u, args, qp_idx,
-                   std::make_index_sequence<mfem::tuple_size<kernel_arg_ts>::value> {});
-
-   process_kf_args(v, shadow_args, qp_idx,
-                   std::make_index_sequence<mfem::tuple_size<kernel_arg_ts>::value> {});
-
-   process_kf_result(f_qp,
-                     mfem::get<0>(fwddiff_apply_enzyme(kf, args, shadow_args, mfem::tuple<> {})));
-}
-
-}

examples/dfem/dfem_smm.hpp

@@ -1,116 +0,0 @@
-#pragma once
-
-#include <mfem.hpp>
-
-class SharedMemoryManager
-{
-private:
-   struct MemoryBlock
-   {
-      char* ptr;
-      int size;
-      bool used;
-   };
-
-   MFEM_HOST_DEVICE static const int MAX_BLOCKS = 16;
-   MFEM_HOST_DEVICE static MemoryBlock blocks[MAX_BLOCKS];
-   MFEM_HOST_DEVICE static int num_blocks;
-   MFEM_HOST_DEVICE static char* base_ptr;
-
-public:
-   MFEM_HOST_DEVICE static void init(void* shmem, int total_size)
-   {
-      base_ptr = static_cast<char*>(shmem);
-      num_blocks = 1;
-      blocks[0] = {base_ptr, total_size, false};
-   }
-
-   template<typename T>
-   MFEM_HOST_DEVICE static T* reserve(int n)
-   {
-      int size_bytes = n * sizeof(T);
-      for (int i = 0; i < num_blocks; ++i)
-      {
-         if (!blocks[i].used && blocks[i].size >= size_bytes)
-         {
-            blocks[i].used = true;
-            if (blocks[i].size > size_bytes)
-            {
-               // Split block
-               if (num_blocks < MAX_BLOCKS)
-               {
-                  blocks[num_blocks] = {blocks[i].ptr + size_bytes, blocks[i].size - size_bytes, false};
-                  ++num_blocks;
-                  blocks[i].size = size_bytes;
-               }
-            }
-            return reinterpret_cast<T*>(blocks[i].ptr);
-         }
-      }
-      return nullptr; // Allocation failed
-   }
-
-   MFEM_HOST_DEVICE static void release(void* ptr)
-   {
-      for (int i = 0; i < num_blocks; ++i)
-      {
-         if (blocks[i].ptr == ptr)
-         {
-            blocks[i].used = false;
-            return;
-         }
-      }
-   }
-
-   MFEM_HOST_DEVICE static void release_and_try_merge(void* ptr)
-   {
-      for (int i = 0; i < num_blocks; ++i)
-      {
-         if (blocks[i].ptr == ptr)
-         {
-            blocks[i].used = false;
-            merge_adjacent_free_blocks();
-            return;
-         }
-      }
-   }
-
-private:
-   MFEM_HOST_DEVICE static void merge_adjacent_free_blocks()
-   {
-      // Simple bubble sort for simplicity (can be optimized)
-      for (int i = 0; i < num_blocks - 1; ++i)
-      {
-         for (int j = 0; j < num_blocks - i - 1; ++j)
-         {
-            if (blocks[j].ptr > blocks[j + 1].ptr)
-            {
-               MemoryBlock temp = blocks[j];
-               blocks[j] = blocks[j + 1];
-               blocks[j + 1] = temp;
-            }
-         }
-      }
-
-      for (int i = 0; i < num_blocks - 1; ++i)
-      {
-         if (!blocks[i].used && !blocks[i + 1].used)
-         {
-            blocks[i].size += blocks[i + 1].size;
-            for (int j = i + 1; j < num_blocks - 1; ++j)
-            {
-               blocks[j] = blocks[j + 1];
-            }
-            --num_blocks;
-            --i;
-         }
-      }
-   }
-};
-
-MFEM_HOST_DEVICE SharedMemoryManager::MemoryBlock
-SharedMemoryManager::blocks[SharedMemoryManager::MAX_BLOCKS];
-
-MFEM_HOST_DEVICE int SharedMemoryManager::num_blocks;
-
-MFEM_HOST_DEVICE char* SharedMemoryManager::base_ptr;

examples/dfem/dfem_test_macro.hpp

@@ -1,39 +0,0 @@
-#pragma once
-#include "dfem.hpp"
-
-#define DFEM_TEST_MAIN(function)                                               \
-   int main(int argc, char* argv[])                                            \
-   {                                                                           \
-      Mpi::Init();                                                             \
-                                                                               \
-      const char* device_config = "cpu";                                       \
-      const char* mesh_file = "../data/ref-square.mesh";                       \
-      int polynomial_order = 1;                                                \
-      int ir_order = 2;                                                        \
-      int refinements = 0;                                                     \
-                                                                               \
-      OptionsParser args(argc, argv);                                          \
-      args.AddOption(&mesh_file, "-m", "--mesh", "Mesh file to use.");         \
-      args.AddOption(&polynomial_order, "-o", "--order", "");                  \
-      args.AddOption(&refinements, "-r", "--r", "");                           \
-      args.AddOption(&ir_order, "-iro", "--iro", "");                          \
-      args.AddOption(&device_config, "-d", "--device",                         \
-         "Device configuration string, see Device::Configure().");             \
-      args.ParseCheck();                                                       \
-                                                                               \
-      Device device(device_config);                                            \
-      if (Mpi::Root() == 0)                                                    \
-      {                                                                        \
-         device.Print();                                                       \
-      }                                                                        \
-                                                                               \
-      out << std::setprecision(12);                                            \
-                                                                               \
-      int ret;                                                                 \
-                                                                               \
-      ret = function(mesh_file, refinements, polynomial_order);                \
-      out << #function;                                                        \
-      ret ? out << " FAILURE\n" : out << " OK\n";                              \
-                                                                               \
-      return ret;                                                              \
-   }\

examples/dfem/noisy.hpp

@@ -1,130 +0,0 @@
-// SPDX-ArtifactOfProjectName:     noisy
-// SPDX-ArtifactOfProjectHomePage: https://github.com/VincentZalzal/noisy
-// SPDX-FileCopyrightText:         Copyright 2024 Vincent Zalzal
-// SPDX-License-Identifier:        MIT
-
-#pragma once
-
-#include <iomanip>
-#include <iostream>
-
-namespace vz {
-
-struct Counters {
-    unsigned m_def_ctor    = 0;
-    unsigned m_copy_ctor   = 0;
-    unsigned m_move_ctor   = 0;
-    unsigned m_copy_assign = 0;
-    unsigned m_move_assign = 0;
-    unsigned m_dtor        = 0;
-
-    void reset() {
-        *this = {};
-    }
-
-    bool leaks() const {
-        return m_def_ctor + m_copy_ctor + m_move_ctor != m_dtor;
-    }
-
-    friend std::ostream& operator<<(std::ostream& os, const Counters& c) {
-        stream_counter(os, "Default constructor count: ", c.m_def_ctor   );
-        stream_counter(os, "Copy constructor count:    ", c.m_copy_ctor  );
-        stream_counter(os, "Move constructor count:    ", c.m_move_ctor  );
-        stream_counter(os, "Copy assignment count:     ", c.m_copy_assign);
-        stream_counter(os, "Move assignment count:     ", c.m_move_assign);
-        stream_counter(os, "Destructor count:          ", c.m_dtor       );
-        return os;
-    }
-
-    friend bool operator==(const Counters& lhs, const Counters& rhs) {
-        return
-            lhs.m_def_ctor    == rhs.m_def_ctor    &&
-            lhs.m_copy_ctor   == rhs.m_copy_ctor   &&
-            lhs.m_move_ctor   == rhs.m_move_ctor   &&
-            lhs.m_copy_assign == rhs.m_copy_assign &&
-            lhs.m_move_assign == rhs.m_move_assign &&
-            lhs.m_dtor        == rhs.m_dtor        ;
-    }
-
-    friend bool operator!=(const Counters& lhs, const Counters& rhs) { return !(lhs == rhs); }
-
-private:
-    static void stream_counter(std::ostream& os, const char* msg, unsigned value) {
-        if (value != 0)
-            os << msg << std::setw(2) << value << '\n';
-    }
-};
-
-namespace detail {
-
-struct Globals {
-    ~Globals() {
-        if (m_verbose)
-            std::cout << "\n===== Noisy counters =====\n" << m_counters;
-    }
-
-    Counters m_counters;
-    unsigned m_next_id = 0;
-    bool     m_verbose = true;
-};
-
-}
-
-class Noisy {
-private:
-    static detail::Globals& globals() {
-        static detail::Globals s_globals;
-        return s_globals;
-    }
-
-public:
-    static Counters& counters() { return globals().m_counters; }
-    static void set_verbose(bool verbose) { globals().m_verbose = verbose; }
-
-    Noisy() {
-        if (globals().m_verbose)
-            std::cout << *this << ": default constructor\n";
-        globals().m_counters.m_def_ctor++;
-    }
-
-    Noisy(const Noisy& other) {
-        if (globals().m_verbose)
-            std::cout << *this << ": copy constructor from " << other << '\n';
-        globals().m_counters.m_copy_ctor++;
-    }
-
-    Noisy(Noisy&& other) noexcept {
-        if (globals().m_verbose)
-            std::cout << *this << ": move constructor from " << other << '\n';
-        globals().m_counters.m_move_ctor++;
-    }
-
-    ~Noisy() {
-        if (globals().m_verbose)
-            std::cout << *this << ": destructor\n";
-        globals().m_counters.m_dtor++;
-    }
-
-    Noisy& operator=(const Noisy& other) {
-        if (globals().m_verbose)
-            std::cout << *this << ": copy assignment from " << other << '\n';
-        globals().m_counters.m_copy_assign++;
-        return *this;
-    }
-
-    Noisy& operator=(Noisy&& other) noexcept {
-        if (globals().m_verbose)
-            std::cout << *this << ": move assignment from " << other << '\n';
-        globals().m_counters.m_move_assign++;
-        return *this;
-    }
-
-    unsigned id() const { return m_id; }
-
-    friend std::ostream& operator<<(std::ostream& os, const Noisy& noisy) { return os << "Noisy(" << std::setw(2) << noisy.m_id << ')'; }
-
-private:
-    unsigned m_id = globals().m_next_id++;
-};
-
-}

examples/dfem/shared_mem_calc.md

@@ -1,49 +0,0 @@
-* Calculate shared memory requirements
-* Interpolation and integration
----
-* If grad involved, need B and G
-* Fit largest field, depends on polynomial order (#dofs)
-  -> vdim is irrelevant
-* Temporaries for each sum
-  - DDQ (d1d x d1d x q1d) x 2 -> DDQ0, DDQ1
-  - DQQ (d1d x q1d x q1d) x 3 -> DQQ0, DQQ1, DQQ2
-  - QQQ (q1d x q1d x q1d) x 3 -> QQQ0, QQQ1, QQQ2
-
-We need the following combinations at the same time
-(1) DDQ0 + DDQ1 + DQQ0 + DQQ1 + DQQ2
-(2) DQQ0 + DQQ1 + DQQ2 + QQQ0 + QQQ1 + QQQ2
-(3) QQQ0 + QQQ1 + QQQ2 + QQD0 + QQD1 + QQD2
-(4) QQD0 + QQD1 + QQD2 + QDD0 + QDD1 + QDD2
-
-Allocate largest memory footprint from 2, 3 or 4 and
-add memory footprint of fields and B/G.
-
-Annotations with NR and R mean "not reusable" and
-"reusable", respectively. This means the memory location is
-reused for _all_ e.g. interpolation of a value etc.
-
-----
-For the action of nonlinear diffusion in 2D we have
-(rho * |u|^2 \nabla u, \nabla v)
-
-* Load
-RHO (D x D) | R (after interpolation)
-U (D x D x VDIM) | R (after interpolation)
-B (Q x D) | NR
-G (Q x D) | NR
-
-* Interpolate Value
-Temporary (Q x D) | R
-R (Q x Q) | NR
-U (Q x Q x VDIM) | NR
-
-* Interpolate Grad
-Temporaries (Q x D) + (Q x D) | R
-U (Q x Q x DIM x VDIM) | NR
-
-Quadrature point function
--> purely thread local
-
-* Integrate Grad
-R | temp from Interpolation
-R | U from Load

examples/dfem/tuple.hpp

@@ -1,845 +0,0 @@
-// This is serac's tuple implementation
-
-#pragma once
-
-#include "general/backends.hpp"
-#include <utility>
-#include <mfem.hpp>
-#include <tuple>
-
-namespace mfem
-{
-
-/**
- * @tparam T the types stored in the tuple
- * @brief This is a class that mimics most of std::tuple's interface,
- * except that it is usable in CUDA kernels and admits some arithmetic operator overloads.
- *
- * see https://en.cppreference.com/w/cpp/utility/tuple for more information about std::tuple
- */
-template <typename... T>
-struct tuple
-{
-};
-
-/**
- * @brief Type that mimics std::tuple
- *
- * @tparam T0 The first type stored in the tuple
- */
-template <typename T0>
-struct tuple<T0>
-{
-   T0 v0;  ///< The first member of the tuple
-};
-
-/**
- * @brief Type that mimics std::tuple
- *
- * @tparam T0 The first type stored in the tuple
- * @tparam T1 The second type stored in the tuple
- */
-template <typename T0, typename T1>
-struct tuple<T0, T1>
-{
-   T0 v0;  ///< The first member of the tuple
-   T1 v1;  ///< The second member of the tuple
-};
-
-/**
- * @brief Type that mimics std::tuple
- *
- * @tparam T0 The first type stored in the tuple
- * @tparam T1 The second type stored in the tuple
- * @tparam T2 The third type stored in the tuple
- */
-template <typename T0, typename T1, typename T2>
-struct tuple<T0, T1, T2>
-{
-   T0 v0;  ///< The first member of the tuple
-   T1 v1;  ///< The second member of the tuple
-   T2 v2;  ///< The third member of the tuple
-};
-
-/**
- * @brief Type that mimics std::tuple
- *
- * @tparam T0 The first type stored in the tuple
- * @tparam T1 The second type stored in the tuple
- * @tparam T2 The third type stored in the tuple
- * @tparam T3 The fourth type stored in the tuple
- */
-template <typename T0, typename T1, typename T2, typename T3>
-struct tuple<T0, T1, T2, T3>
-{
-   T0 v0;  ///< The first member of the tuple
-   T1 v1;  ///< The second member of the tuple
-   T2 v2;  ///< The third member of the tuple
-   T3 v3;  ///< The fourth member of the tuple
-};
-
-/**
- * @brief Type that mimics std::tuple
- *
- * @tparam T0 The first type stored in the tuple
- * @tparam T1 The second type stored in the tuple
- * @tparam T2 The third type stored in the tuple
- * @tparam T3 The fourth type stored in the tuple
- * @tparam T4 The fifth type stored in the tuple
- */
-template <typename T0, typename T1, typename T2, typename T3, typename T4>
-struct tuple<T0, T1, T2, T3, T4>
-{
-   T0 v0;  ///< The first member of the tuple
-   T1 v1;  ///< The second member of the tuple
-   T2 v2;  ///< The third member of the tuple
-   T3 v3;  ///< The fourth member of the tuple
-   T4 v4;  ///< The fifth member of the tuple
-};
-
-/**
- * @brief Type that mimics std::tuple
- *
- * @tparam T0 The first type stored in the tuple
- * @tparam T1 The second type stored in the tuple
- * @tparam T2 The third type stored in the tuple
- * @tparam T3 The fourth type stored in the tuple
- * @tparam T4 The fifth type stored in the tuple
- * @tparam T5 The sixth type stored in the tuple
- */
-template <typename T0, typename T1, typename T2, typename T3, typename T4, typename T5>
-struct tuple<T0, T1, T2, T3, T4, T5>
-{
-   T0 v0;  ///< The first member of the tuple
-   T1 v1;  ///< The second member of the tuple
-   T2 v2;  ///< The third member of the tuple
-   T3 v3;  ///< The fourth member of the tuple
-   T4 v4;  ///< The fifth member of the tuple
-   T5 v5;  ///< The sixth member of the tuple
-};
-
-/**
- * @brief Type that mimics std::tuple
- *
- * @tparam T0 The first type stored in the tuple
- * @tparam T1 The second type stored in the tuple
- * @tparam T2 The third type stored in the tuple
- * @tparam T3 The fourth type stored in the tuple
- * @tparam T4 The fifth type stored in the tuple
- * @tparam T5 The sixth type stored in the tuple
- * @tparam T6 The seventh type stored in the tuple
- */
-template <typename T0, typename T1, typename T2, typename T3, typename T4, typename T5, typename T6>
-struct tuple<T0, T1, T2, T3, T4, T5, T6>
-{
-   T0 v0;  ///< The first member of the tuple
-   T1 v1;  ///< The second member of the tuple
-   T2 v2;  ///< The third member of the tuple
-   T3 v3;  ///< The fourth member of the tuple
-   T4 v4;  ///< The fifth member of the tuple
-   T5 v5;  ///< The sixth member of the tuple
-   T6 v6;  ///< The seventh member of the tuple
-};
-
-/**
- * @brief Type that mimics std::tuple
- *
- * @tparam T0 The first type stored in the tuple
- * @tparam T1 The second type stored in the tuple
- * @tparam T2 The third type stored in the tuple
- * @tparam T3 The fourth type stored in the tuple
- * @tparam T4 The fifth type stored in the tuple
- * @tparam T5 The sixth type stored in the tuple
- * @tparam T6 The seventh type stored in the tuple
- * @tparam T7 The eighth type stored in the tuple
- */
-template <typename T0, typename T1, typename T2, typename T3, typename T4, typename T5, typename T6, typename T7>
-struct tuple<T0, T1, T2, T3, T4, T5, T6, T7>
-{
-   T0 v0;  ///< The first member of the tuple
-   T1 v1;  ///< The second member of the tuple
-   T2 v2;  ///< The third member of the tuple
-   T3 v3;  ///< The fourth member of the tuple
-   T4 v4;  ///< The fifth member of the tuple
-   T5 v5;  ///< The sixth member of the tuple
-   T6 v6;  ///< The seventh member of the tuple
-   T7 v7;  ///< The eighth member of the tuple
-};
-
-template <typename T0, typename T1, typename T2, typename T3, typename T4, typename T5, typename T6, typename T7, typename T8>
-struct tuple<T0, T1, T2, T3, T4, T5, T6, T7, T8>
-{
-   T0 v0;  ///< The first member of the tuple
-   T1 v1;  ///< The second member of the tuple
-   T2 v2;  ///< The third member of the tuple
-   T3 v3;  ///< The fourth member of the tuple
-   T4 v4;  ///< The fifth member of the tuple
-   T5 v5;  ///< The sixth member of the tuple
-   T6 v6;  ///< The seventh member of the tuple
-   T7 v7;  ///< The eighth member of the tuple
-   T8 v8;
-};
-
-/**
- * @brief Class template argument deduction rule for tuples
- * @tparam T The variadic template parameter for tuple types
- */
-template <typename... T>
-MFEM_HOST_DEVICE
-tuple(T...) -> tuple<T...>;
-
-/**
- * @brief helper function for combining a list of values into a tuple
- * @tparam T types of the values to be tuple-d
- * @param args the actual values to be put into a tuple
- */
-template <typename... T>
-MFEM_HOST_DEVICE tuple<T...> make_tuple(const T&... args)
-{
-   return tuple<T...> {args...};
-}
-
-template <class... Types>
-struct tuple_size
-{
-};
-
-template <class... Types>
-struct tuple_size<mfem::tuple<Types...>> :
-                                      std::integral_constant<std::size_t, sizeof...(Types)>
-{
-};
-
-/**
- * @tparam i the tuple index to access
- * @tparam T the types stored in the tuple
- * @brief return a reference to the ith tuple entry
- */
-template <int i, typename... T>
-MFEM_HOST_DEVICE constexpr auto& get(tuple<T...>& values)
-{
-   static_assert(i < sizeof...(T), "");
-   if constexpr (i == 0)
-   {
-      return values.v0;
-   }
-   if constexpr (i == 1)
-   {
-      return values.v1;
-   }
-   if constexpr (i == 2)
-   {
-      return values.v2;
-   }
-   if constexpr (i == 3)
-   {
-      return values.v3;
-   }
-   if constexpr (i == 4)
-   {
-      return values.v4;
-   }
-   if constexpr (i == 5)
-   {
-      return values.v5;
-   }
-   if constexpr (i == 6)
-   {
-      return values.v6;
-   }
-   if constexpr (i == 7)
-   {
-      return values.v7;
-   }
-   if constexpr (i == 8)
-   {
-      return values.v8;
-   }
-}
-
-/**
- * @tparam i the tuple index to access
- * @tparam T the types stored in the tuple
- * @brief return a copy of the ith tuple entry
- */
-template <int i, typename... T>
-MFEM_HOST_DEVICE constexpr const auto& get(const tuple<T...>& values)
-{
-   static_assert(i < sizeof...(T), "");
-   if constexpr (i == 0)
-   {
-      return values.v0;
-   }
-   if constexpr (i == 1)
-   {
-      return values.v1;
-   }
-   if constexpr (i == 2)
-   {
-      return values.v2;
-   }
-   if constexpr (i == 3)
-   {
-      return values.v3;
-   }
-   if constexpr (i == 4)
-   {
-      return values.v4;
-   }
-   if constexpr (i == 5)
-   {
-      return values.v5;
-   }
-   if constexpr (i == 6)
-   {
-      return values.v6;
-   }
-   if constexpr (i == 7)
-   {
-      return values.v7;
-   }
-   if constexpr (i == 8)
-   {
-      return values.v8;
-   }
-}
-
-/**
- * @brief a function intended to be used for extracting the ith type from a tuple.
- *
- * @note type<i>(my_tuple) returns a value, whereas get<i>(my_tuple) returns a reference
- *
- * @tparam i the index of the tuple to query
- * @tparam T the types stored in the tuple
- * @param values the tuple of values
- * @return a copy of the ith entry of the input
- */
-template <int i, typename... T>
-MFEM_HOST_DEVICE constexpr auto type(const tuple<T...>& values)
-{
-   static_assert(i < sizeof...(T), "");
-   if constexpr (i == 0)
-   {
-      return values.v0;
-   }
-   if constexpr (i == 1)
-   {
-      return values.v1;
-   }
-   if constexpr (i == 2)
-   {
-      return values.v2;
-   }
-   if constexpr (i == 3)
-   {
-      return values.v3;
-   }
-   if constexpr (i == 4)
-   {
-      return values.v4;
-   }
-   if constexpr (i == 5)
-   {
-      return values.v5;
-   }
-   if constexpr (i == 6)
-   {
-      return values.v6;
-   }
-   if constexpr (i == 7)
-   {
-      return values.v7;
-   }
-   if constexpr (i == 8)
-   {
-      return values.v8;
-   }
-}
-
-/**
- * @brief A helper function for the + operator of tuples
- *
- * @tparam S the types stored in the tuple x
- * @tparam T the types stored in the tuple y
- * @tparam i The integer sequence to i
- * @param x tuple of values
- * @param y tuple of values
- * @return the returned tuple sum
- */
-template <typename... S, typename... T, int... i>
-MFEM_HOST_DEVICE constexpr auto plus_helper(const tuple<S...>& x,
-                                            const tuple<T...>& y,
-                                            std::integer_sequence<int, i...>)
-{
-   return tuple{get<i>(x) + get<i>(y)...};
-}
-
-/**
- * @tparam S the types stored in the tuple x
- * @tparam T the types stored in the tuple y
- * @param x a tuple of values
- * @param y a tuple of values
- * @brief return a tuple of values defined by elementwise sum of x and y
- */
-template <typename... S, typename... T>
-MFEM_HOST_DEVICE constexpr auto operator+(const tuple<S...>& x,
-                                          const tuple<T...>& y)
-{
-   static_assert(sizeof...(S) == sizeof...(T));
-   return plus_helper(x, y,
-                      std::make_integer_sequence<int, static_cast<int>(sizeof...(S))>());
-}
-
-/**
- * @brief A helper function for the += operator of tuples
- *
- * @tparam T the types stored in the tuples x and y
- * @tparam i integer sequence used to index the tuples
- * @param x tuple of values to be incremented
- * @param y tuple of increment values
- */
-template <typename... T, int... i>
-MFEM_HOST_DEVICE constexpr void plus_equals_helper(tuple<T...>& x,
-                                                   const tuple<T...>& y,
-                                                   std::integer_sequence<int, i...>)
-{
-   ((get<i>(x) += get<i>(y)), ...);
-}
-
-/**
- * @tparam T the types stored in the tuples x and y
- * @param x a tuple of values
- * @param y a tuple of values
- * @brief add values contained in y, to the tuple x
- */
-template <typename... T>
-MFEM_HOST_DEVICE constexpr auto operator+=(tuple<T...>& x,
-                                           const tuple<T...>& y)
-{
-   return plus_equals_helper(x, y,
-                             std::make_integer_sequence<int, static_cast<int>(sizeof...(T))>());
-}
-
-/**
- * @brief A helper function for the -= operator of tuples
- *
- * @tparam T the types stored in the tuples x and y
- * @tparam i integer sequence used to index the tuples
- * @param x tuple of values to be subracted from
- * @param y tuple of values to subtract from x
- */
-template <typename... T, int... i>
-MFEM_HOST_DEVICE constexpr void minus_equals_helper(tuple<T...>& x,
-                                                    const tuple<T...>& y,
-                                                    std::integer_sequence<int, i...>)
-{
-   ((get<i>(x) -= get<i>(y)), ...);
-}
-
-/**
- * @tparam T the types stored in the tuples x and y
- * @param x a tuple of values
- * @param y a tuple of values
- * @brief add values contained in y, to the tuple x
- */
-template <typename... T>
-MFEM_HOST_DEVICE constexpr auto operator-=(tuple<T...>& x,
-                                           const tuple<T...>& y)
-{
-   return minus_equals_helper(x, y,
-                              std::make_integer_sequence<int, static_cast<int>(sizeof...(T))>());
-}
-
-/**
- * @brief A helper function for the - operator of tuples
- *
- * @tparam S the types stored in the tuple x
- * @tparam T the types stored in the tuple y
- * @tparam i The integer sequence to i
- * @param x tuple of values
- * @param y tuple of values
- * @return the returned tuple difference
- */
-template <typename... S, typename... T, int... i>
-MFEM_HOST_DEVICE constexpr auto minus_helper(const tuple<S...>& x,
-                                             const tuple<T...>& y,
-                                             std::integer_sequence<int, i...>)
-{
-   return tuple{get<i>(x) - get<i>(y)...};
-}
-
-/**
- * @tparam S the types stored in the tuple x
- * @tparam T the types stored in the tuple y
- * @param x a tuple of values
- * @param y a tuple of values
- * @brief return a tuple of values defined by elementwise difference of x and y
- */
-template <typename... S, typename... T>
-MFEM_HOST_DEVICE constexpr auto operator-(const tuple<S...>& x,
-                                          const tuple<T...>& y)
-{
-   static_assert(sizeof...(S) == sizeof...(T));
-   return minus_helper(x, y,
-                       std::make_integer_sequence<int, static_cast<int>(sizeof...(S))>());
-}
-
-/**
- * @brief A helper function for the - operator of tuples
- *
- * @tparam T the types stored in the tuple y
- * @tparam i The integer sequence to i
- * @param x tuple of values
- * @return the returned tuple difference
- */
-template <typename... T, int... i>
-MFEM_HOST_DEVICE constexpr auto unary_minus_helper(const tuple<T...>& x,
-                                                   std::integer_sequence<int, i...>)
-{
-   return tuple{-get<i>(x)...};
-}
-
-/**
- * @tparam T the types stored in the tuple y
- * @param x a tuple of values
- * @brief return a tuple of values defined by applying the unary minus operator to each element of x
- */
-template <typename... T>
-MFEM_HOST_DEVICE constexpr auto operator-(const tuple<T...>& x)
-{
-   return unary_minus_helper(x,
-                             std::make_integer_sequence<int, static_cast<int>(sizeof...(T))>());
-}
-
-/**
- * @brief A helper function for the / operator of tuples
- *
- * @tparam S the types stored in the tuple x
- * @tparam T the types stored in the tuple y
- * @tparam i The integer sequence to i
- * @param x tuple of values
- * @param y tuple of values
- * @return the returned tuple ratio
- */
-template <typename... S, typename... T, int... i>
-MFEM_HOST_DEVICE constexpr auto div_helper(const tuple<S...>& x,
-                                           const tuple<T...>& y,
-                                           std::integer_sequence<int, i...>)
-{
-   return tuple{get<i>(x) / get<i>(y)...};
-}
-
-/**
- * @tparam S the types stored in the tuple x
- * @tparam T the types stored in the tuple y
- * @param x a tuple of values
- * @param y a tuple of values
- * @brief return a tuple of values defined by elementwise division of x by y
- */
-template <typename... S, typename... T>
-MFEM_HOST_DEVICE constexpr auto operator/(const tuple<S...>& x,
-                                          const tuple<T...>& y)
-{
-   static_assert(sizeof...(S) == sizeof...(T));
-   return div_helper(x, y,
-                     std::make_integer_sequence<int, static_cast<int>(sizeof...(S))>());
-}
-
-/**
- * @brief A helper function for the / operator of tuples
- *
- * @tparam T the types stored in the tuple y
- * @tparam i The integer sequence to i
- * @param x tuple of values
- * @param a the constant numerator
- * @return the returned tuple ratio
- */
-template <typename... T, int... i>
-MFEM_HOST_DEVICE constexpr auto div_helper(const double a,
-                                           const tuple<T...>& x, std::integer_sequence<int, i...>)
-{
-   return tuple{a / get<i>(x)...};
-}
-
-/**
- * @brief A helper function for the / operator of tuples
- *
- * @tparam T the types stored in the tuple y
- * @tparam i The integer sequence to i
- * @param x tuple of values
- * @param a the constant denomenator
- * @return the returned tuple ratio
- */
-template <typename... T, int... i>
-MFEM_HOST_DEVICE constexpr auto div_helper(const tuple<T...>& x,
-                                           const double a, std::integer_sequence<int, i...>)
-{
-   return tuple{get<i>(x) / a...};
-}
-
-/**
- * @tparam T the types stored in the tuple x
- * @param a the numerator
- * @param x a tuple of denominator values
- * @brief return a tuple of values defined by division of a by the elements of x
- */
-template <typename... T>
-MFEM_HOST_DEVICE constexpr auto operator/(const double a, const tuple<T...>& x)
-{
-   return div_helper(a, x,
-                     std::make_integer_sequence<int, static_cast<int>(sizeof...(T))>());
-}
-
-/**
- * @tparam T the types stored in the tuple y
- * @param x a tuple of numerator values
- * @param a a denominator
- * @brief return a tuple of values defined by elementwise division of x by a
- */
-template <typename... T>
-MFEM_HOST_DEVICE constexpr auto operator/(const tuple<T...>& x, const double a)
-{
-   return div_helper(x, a,
-                     std::make_integer_sequence<int, static_cast<int>(sizeof...(T))>());
-}
-
-/**
- * @brief A helper function for the * operator of tuples
- *
- * @tparam S the types stored in the tuple x
- * @tparam T the types stored in the tuple y
- * @tparam i The integer sequence to i
- * @param x tuple of values
- * @param y tuple of values
- * @return the returned tuple product
- */
-template <typename... S, typename... T, int... i>
-MFEM_HOST_DEVICE constexpr auto mult_helper(const tuple<S...>& x,
-                                            const tuple<T...>& y,
-                                            std::integer_sequence<int, i...>)
-{
-   return tuple{get<i>(x) * get<i>(y)...};
-}
-
-/**
- * @tparam S the types stored in the tuple x
- * @tparam T the types stored in the tuple y
- * @param x a tuple of values
- * @param y a tuple of values
- * @brief return a tuple of values defined by elementwise multiplication of x and y
- */
-template <typename... S, typename... T>
-MFEM_HOST_DEVICE constexpr auto operator*(const tuple<S...>& x,
-                                          const tuple<T...>& y)
-{
-   static_assert(sizeof...(S) == sizeof...(T));
-   return mult_helper(x, y,
-                      std::make_integer_sequence<int, static_cast<int>(sizeof...(S))>());
-}
-
-/**
- * @brief A helper function for the * operator of tuples
- *
- * @tparam T the types stored in the tuple y
- * @tparam i The integer sequence to i
- * @param x tuple of values
- * @param a a constant multiplier
- * @return the returned tuple product
- */
-template <typename... T, int... i>
-MFEM_HOST_DEVICE constexpr auto mult_helper(const double a,
-                                            const tuple<T...>& x, std::integer_sequence<int, i...>)
-{
-   return tuple{a * get<i>(x)...};
-}
-
-/**
- * @brief A helper function for the * operator of tuples
- *
- * @tparam T the types stored in the tuple y
- * @tparam i The integer sequence to i
- * @param x tuple of values
- * @param a a constant multiplier
- * @return the returned tuple product
- */
-template <typename... T, int... i>
-MFEM_HOST_DEVICE constexpr auto mult_helper(const tuple<T...>& x,
-                                            const double a, std::integer_sequence<int, i...>)
-{
-   return tuple{get<i>(x) * a...};
-}
-
-/**
- * @tparam T the types stored in the tuple
- * @param a a scaling factor
- * @param x the tuple object
- * @brief multiply each component of x by the value a on the left
- */
-template <typename... T>
-MFEM_HOST_DEVICE constexpr auto operator*(const double a, const tuple<T...>& x)
-{
-   return mult_helper(a, x,
-                      std::make_integer_sequence<int, static_cast<int>(sizeof...(T))>());
-}
-
-/**
- * @tparam T the types stored in the tuple
- * @param x the tuple object
- * @param a a scaling factor
- * @brief multiply each component of x by the value a on the right
- */
-template <typename... T>
-MFEM_HOST_DEVICE constexpr auto operator*(const tuple<T...>& x, const double a)
-{
-   return mult_helper(x, a,
-                      std::make_integer_sequence<int, static_cast<int>(sizeof...(T))>());
-}
-
-/**
- * @tparam T the types stored in the tuple
- * @tparam i a list of indices used to acces each element of the tuple
- * @param out the ostream to write the output to
- * @param A the tuple of values
- * @brief helper used to implement printing a tuple of values
- */
-template <typename... T, std::size_t... i>
-auto& print_helper(std::ostream& out, const mfem::tuple<T...>& A,
-                   std::integer_sequence<size_t, i...>)
-{
-   out << "tuple{";
-   (..., (out << (i == 0 ? "" : ", ") << mfem::get<i>(A)));
-   out << "}";
-   return out;
-}
-
-/**
- * @tparam T the types stored in the tuple
- * @param out the ostream to write the output to
- * @param A the tuple of values
- * @brief print a tuple of values
- */
-template <typename... T>
-auto& operator<<(std::ostream& out, const mfem::tuple<T...>& A)
-{
-   return print_helper(out, A, std::make_integer_sequence<size_t, sizeof...(T)>());
-}
-
-/**
- * @brief A helper to apply a lambda to a tuple
- *
- * @tparam lambda The functor type
- * @tparam T The tuple types
- * @tparam i The integer sequence to i
- * @param f The functor to apply to the tuple
- * @param args The input tuple
- * @return The functor output
- */
-template <typename lambda, typename... T, int... i>
-MFEM_HOST_DEVICE auto apply_helper(lambda f, tuple<T...>& args,
-                                   std::integer_sequence<int, i...>)
-{
-   return f(get<i>(args)...);
-}
-
-/**
- * @tparam lambda a callable type
- * @tparam T the types of arguments to be passed in to f
- * @param f the callable object
- * @param args a tuple of arguments
- * @brief a way of passing an n-tuple to a function that expects n separate arguments
- *
- *   e.g. foo(bar, baz) is equivalent to apply(foo, mfem::tuple(bar,baz));
- */
-template <typename lambda, typename... T>
-MFEM_HOST_DEVICE auto apply(lambda f, tuple<T...>& args)
-{
-   return apply_helper(f, std::move(args),
-                       std::make_integer_sequence<int, static_cast<int>(sizeof...(T))>());
-}
-
-/**
- * @overload
- */
-template <typename lambda, typename... T, int... i>
-MFEM_HOST_DEVICE auto apply_helper(lambda f, const tuple<T...>& args,
-                                   std::integer_sequence<int, i...>)
-{
-   return f(get<i>(args)...);
-}
-
-/**
- * @tparam lambda a callable type
- * @tparam T the types of arguments to be passed in to f
- * @param f the callable object
- * @param args a tuple of arguments
- * @brief a way of passing an n-tuple to a function that expects n separate arguments
- *
- *   e.g. foo(bar, baz) is equivalent to apply(foo, mfem::tuple(bar,baz));
- */
-template <typename lambda, typename... T>
-MFEM_HOST_DEVICE auto apply(lambda f, const tuple<T...>& args)
-{
-   return apply_helper(f, std::move(args),
-                       std::make_integer_sequence<int, static_cast<int>(sizeof...(T))>());
-}
-
-/**
- * @brief a struct used to determine the type at index I of a tuple
- *
- * @note see: https://en.cppreference.com/w/cpp/utility/tuple/tuple_element
- *
- * @tparam I the index of the desired type
- * @tparam T a tuple of different types
- */
-template <size_t I, class T>
-struct tuple_element;
-
-// recursive case
-/// @overload
-template <size_t I, class Head, class... Tail>
-struct tuple_element<I, tuple<Head, Tail...>> : tuple_element<I - 1,
-                                              tuple<Tail...>>
-{
-};
-
-// base case
-/// @overload
-template <class Head, class... Tail>
-struct tuple_element<0, tuple<Head, Tail...>>
-{
-   using type = Head;  ///< the type at the specified index
-};
-
-/**
- * @brief Trait for checking if a type is a @p mfem::tuple
- */
-template <typename T>
-struct is_tuple : std::false_type
-{
-};
-
-/// @overload
-template <typename... T>
-struct is_tuple<mfem::tuple<T...>> : std::true_type
-{
-};
-
-/**
- * @brief Trait for checking if a type if a @p mfem::tuple containing only @p mfem::tuple
- */
-template <typename T>
-struct is_tuple_of_tuples : std::false_type
-{
-};
-
-/**
- * @brief Trait for checking if a type if a @p mfem::tuple containing only @p mfem::tuple
- */
-template <typename... T>
-struct is_tuple_of_tuples<mfem::tuple<T...>>
-{
-   static constexpr bool value = (is_tuple<T>::value &&
-                                  ...);  ///< true/false result of type check
-};
-
-}  // namespace mfem

examples/dfem_dg.cpp

@@ -1,123 +0,0 @@
-#include "dfem/dfem_refactor.hpp"
-#include "fem/bilininteg.hpp"
-#include "fem/coefficient.hpp"
-#include "linalg/auxiliary.hpp"
-#include "linalg/hypre.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int main(int argc, char *argv[])
-{
-   Mpi::Init();
-   int num_procs = Mpi::WorldSize();
-   int myid = Mpi::WorldRank();
-   Hypre::Init();
-
-   const char *mesh_file = "../data/ref-square.mesh";
-   int polynomial_order = 1;
-   int ir_order = 2;
-   int refinements = 1;
-
-   Mesh mesh_serial = Mesh(mesh_file);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   const int dim = mesh.Dimension();
-   mesh_serial.Clear();
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   L2_FECollection fec(polynomial_order, dim, BasisType::GaussLobatto);
-   ParFiniteElementSpace fes(&mesh, &fec);
-
-   const IntegrationRule &ir = IntRules.Get(fes.GetFE(0)->GetGeomType(),
-                                            ir_order * fec.GetOrder());
-   const IntegrationRule &ir_face = IntRules.Get(
-                                       fes.GetTraceElement(0, fes.GetMesh()->GetFaceGeometry(0))->GetGeomType(),
-                                       ir_order * fec.GetOrder());
-   ParGridFunction u(&fes);
-
-   // // -\nabla \cdot (\nabla u + p * I) -> (\nabla u + p * I, \nabla v)
-   // auto advection_kernel = [](const tensor<double, 2> &dudxi,
-   //                            const tensor<double, 2, 2> &J,
-   //                            const double &w)
-   // {
-   //    constexpr tensor<double, 2> b{1.0, 1.0};
-   //    return std::tuple{dot(b, dudxi * inv(J)) * det(J) * w};
-   // };
-
-   // std::tuple argument_operators_0{Gradient{"quantity"}, Gradient{"coordinates"}, Weight{"integration_weights"}};
-   // std::tuple output_operator_0{Value{"quantity"}};
-   // ElementOperator op_0{advection_kernel, argument_operators_0, output_operator_0};
-
-   // std::array solutions{FieldDescriptor{&fes, "quantity"}};
-   // std::array parameters{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   // DifferentiableOperator advection_op{solutions, parameters, std::tuple{op_0}, mesh, ir};
-
-   // auto adv_du = advection_op.template GetDerivativeWrt<0>({&u}, {mesh_nodes});
-   // HypreParMatrix A;
-   // adv_du->Assemble(A);
-
-   // std::ofstream mmatofs("dfem_mat.dat");
-   // A.PrintMatlab(mmatofs);
-   // mmatofs.close();
-
-   auto trace_kernel = [](const double &uL, const double &uR, const double &J,
-                          const double &w)
-   {
-      return std::tuple{1.0 / J * w};
-   };
-
-   std::tuple argument_operators_0
-   {
-      FaceValueLeft{"quantity"},
-      FaceValueRight{"quantity"},
-      Gradient{"coordinates"},
-      Weight{"integration_weights"}
-   };
-   std::tuple output_operator_0{Value{"quantity"}};
-   FaceElementOperator op_0{trace_kernel, argument_operators_0, output_operator_0};
-
-   std::array solutions{FieldDescriptor{&fes, "quantity"}};
-   std::array parameters{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator trace_op{solutions, parameters, std::tuple{op_0}, mesh, ir_face};
-
-   auto vector_func = [](const Vector &, Vector &u)
-   {
-      u = 1.0;
-   };
-
-   VectorFunctionCoefficient vel_coeff(dim, vector_func);
-
-   ParBilinearForm adv_form(&fes);
-   constexpr double alpha = 1.0;
-   auto integ = new ConvectionIntegrator(vel_coeff, alpha);
-   integ->SetIntRule(&ir);
-   adv_form.AddInteriorFaceIntegrator(
-      new NonconservativeDGTraceIntegrator(vel_coeff, alpha));
-   // adv_form.AddDomainIntegrator(integ);
-   adv_form.Assemble();
-   adv_form.Finalize();
-
-   auto K = adv_form.ParallelAssemble();
-   std::ofstream kmatofs("mfem_mat.dat");
-   K->PrintMatlab(kmatofs);
-   kmatofs.close();
-
-   char vishost[] = "localhost";
-   int  visport   = 19916;
-   socketstream sol_sock(vishost, visport);
-   sol_sock << "parallel " << num_procs << " " << myid << "\n";
-   sol_sock.precision(8);
-   sol_sock << "solution\n" << mesh << u << std::flush;
-
-   return 0;
-}

examples/dfem_elasticity.cpp

@@ -1,150 +0,0 @@
-#include "dfem.hpp"
-
-int main(int argc, char *argv[])
-{
-   Mpi::Init();
-
-   std::cout << std::setprecision(9);
-
-   const char *mesh_file = "../data/star.mesh";
-   int polynomial_order = 1;
-   int refinements = 0;
-
-   OptionsParser args(argc, argv);
-   args.AddOption(&mesh_file, "-m", "--mesh", "Mesh file to use.");
-   args.AddOption(&polynomial_order, "-o", "--order", "");
-   args.AddOption(&refinements, "-r", "--r", "");
-   args.ParseCheck();
-
-   Mesh mesh_serial(mesh_file, 1, 1);
-   mesh_serial.SetCurvature(1);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   const int dim = mesh_serial.Dimension();
-
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-   mesh_serial.Clear();
-
-   constexpr int vdim = 2;
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec, vdim);
-
-   Array<int> ess_tdof_list;
-   Array<int> ess_bdr(mesh.bdr_attributes.Max());
-   ess_bdr = 1;
-   h1fes.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
-
-   const IntegrationRule &ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder() + 1);
-
-   std::cout << "nqpts = " << ir.GetNPoints() << std::endl;
-   std::cout << "ndofs = " << h1fes.GlobalTrueVSize() << std::endl;
-
-   ParGridFunction u(&h1fes);
-
-   auto exact_solution = [](const Vector &coords, Vector &u)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      u(0) = x*x + y;
-      u(1) = x + 0.5*y*y;
-   };
-
-   VectorFunctionCoefficient exact_solution_coeff(dim, exact_solution);
-
-   auto elasticity_kernel = [](tensor<double, 2, 2> &dudxi,
-                               tensor<double, 2, 2> &J,
-                               double &w)
-   {
-      using mfem::internal::tensor;
-      using mfem::internal::IsotropicIdentity;
-
-      double lambda, mu;
-      {
-         lambda = 1.0;
-         mu = 1.0;
-      }
-      static constexpr auto I = IsotropicIdentity<2>();
-      auto eps = sym(dudxi * inv(J));
-      auto JxW = transpose(inv(J)) * det(J) * w;
-      auto r = (lambda * tr(eps) * I + 2.0 * mu * eps) * JxW;
-      return r;
-   };
-
-   tensor<double, 2, 2> dudxi, s_dudxi, J;
-   double w = 1.0;
-
-   enzyme::get<0>
-   (enzyme::autodiff<enzyme::Forward,
-    enzyme::DuplicatedNoNeed<tensor<double, 2, 2>>>
-    (+elasticity_kernel,
-     enzyme::Duplicated<tensor<double, 2, 2> *>(&dudxi, &s_dudxi),
-     enzyme::Const<tensor<double, 2, 2>*>(&J),
-     enzyme::Const<double*>(&w)));
-
-   // std::tuple input_descriptors = {Gradient{"displacement"}, Gradient{"coordinates"}, Weight{"integration_weight"}};
-   // std::tuple output_descriptors = {Gradient{"displacement"}};
-   // ElementOperator qf {elasticity_kernel, input_descriptors, output_descriptors};
-
-   // ElementOperator forcing_qf
-   // {
-   //    [](tensor<double, 2> x, tensor<double, 2, 2> J, double w)
-   //    {
-   //       double lambda, mu;
-   //       {
-   //          lambda = 1.0;
-   //          mu = 1.0;
-   //       }
-   //       auto f = x;
-   //       f(0) = 4.0*mu + 2.0*lambda;
-   //       f(1) = 2.0*mu + lambda;
-   //       return f * det(J) * w;
-   //    },
-   //    // inputs
-   //    std::tuple{
-   //       Value{"coordinates"},
-   //       Gradient{"coordinates"},
-   //       Weight{"integration_weight"}},
-   //    // outputs
-   //    std::tuple{
-   //       Value{"displacement"}}
-   // };
-
-   // std::vector<Field> solutions{{&u, "displacement"}};
-   // std::vector<Field> parameters{{mesh.GetNodes(), "coordinates"}};
-   // std::vector<Field> dependent_fields{{&u, "displacement"}};
-   // DifferentiableForm dop(solutions, parameters, dependent_fields, mesh);
-
-   // dop.AddElementOperator<AD::Enzyme>(qf, ir);
-   // dop.AddElementOperator<AD::None>(forcing_qf, ir);
-   // dop.SetEssentialTrueDofs(ess_tdof_list);
-
-   // GMRESSolver gmres(MPI_COMM_WORLD);
-   // gmres.SetRelTol(1e-12);
-   // gmres.SetMaxIter(5000);
-   // gmres.SetPrintLevel(IterativeSolver::PrintLevel().Summary());
-
-   // NewtonSolver newton(MPI_COMM_WORLD);
-   // newton.SetSolver(gmres);
-   // newton.SetOperator(dop);
-   // newton.SetRelTol(1e-12);
-   // newton.SetMaxIter(100);
-   // newton.SetPrintLevel(1);
-
-   // u = 1e-6;
-   // u.ProjectBdrCoefficient(exact_solution_coeff, ess_bdr);
-   // Vector x;
-   // u.GetTrueDofs(x);
-
-   // Vector zero;
-   // newton.Mult(zero, x);
-
-   // u.Distribute(x);
-
-   // std::cout << "|u-u_ex|_L2 = " << u.ComputeL2Error(exact_solution_coeff) << "\n";
-
-   return 0;
-}

examples/dfem_minimal_example.cpp

@@ -1,115 +0,0 @@
-#include <tuple>
-#include <type_traits>
-#include <iostream>
-#include <enzyme/enzyme>
-
-template <typename T>
-constexpr auto get_type_name() -> std::string_view
-{
-#if defined(__clang__)
-   constexpr auto prefix = std::string_view {"[T = "};
-   constexpr auto suffix = "]";
-   constexpr auto function = std::string_view{__PRETTY_FUNCTION__};
-#elif defined(__GNUC__)
-   constexpr auto prefix = std::string_view {"with T = "};
-   constexpr auto suffix = "; ";
-   constexpr auto function = std::string_view{__PRETTY_FUNCTION__};
-#elif defined(_MSC_VER)
-   constexpr auto prefix = std::string_view {"get_type_name<"};
-   constexpr auto suffix = ">(void)";
-   constexpr auto function = std::string_view{__FUNCSIG__};
-#else
-#error Unsupported compiler
-#endif
-
-   const auto start = function.find(prefix) + prefix.size();
-   const auto end = function.find(suffix);
-   const auto size = end - start;
-
-   return function.substr(start, size);
-}
-
-template <typename ... Ts>
-constexpr auto decay_types(std::tuple<Ts...> const &)
--> std::tuple<std::remove_cv_t<std::remove_reference_t<Ts>>...>;
-
-template <typename T>
-using decay_tuple = decltype(decay_types(std::declval<T>()));
-
-template <class F> struct FunctionSignature;
-
-template <typename output_t, typename... input_ts>
-struct FunctionSignature<output_t(input_ts...)>
-{
-   using return_t = output_t;
-   using parameter_ts = std::tuple<input_ts...>;
-};
-
-template <class T> struct create_function_signature;
-
-template <typename output_t, typename T, typename... input_ts>
-struct create_function_signature<output_t (T::*)(input_ts...) const>
-{
-   using type = FunctionSignature<output_t(input_ts...)>;
-};
-
-template <typename arg_ts, std::size_t... Is>
-auto create_enzyme_args(arg_ts &args,
-                        arg_ts &shadow_args,
-                        std::index_sequence<Is...>)
-{
-   ((std::cout << std::get<Is>(shadow_args) << "\n"), ...);
-   return std::tuple<enzyme::Duplicated<decltype(std::get<Is>(args))>...>
-   {
-      { std::get<Is>(args), std::get<Is>(shadow_args) }...
-   };
-}
-
-template <typename kernel_t, typename arg_ts>
-auto fwddiff_apply_enzyme(kernel_t kernel, arg_ts &&args, arg_ts &&shadow_args)
-{
-   auto arg_indices =
-      std::make_index_sequence<std::tuple_size_v<std::remove_reference_t<arg_ts>>> {};
-
-   auto enzyme_args = create_enzyme_args(args, shadow_args, arg_indices);
-
-   using kf_return_t = typename create_function_signature<
-                       decltype(&kernel_t::operator())>::type::return_t;
-
-   std::cout << "args is " << get_type_name<decltype(args)>() << "\n\n";
-   std::cout << "enzyme_args type is " << get_type_name<decltype(enzyme_args)>() <<
-             "\n\n";
-   std::cout << "return type is " << get_type_name<decltype(kf_return_t{})>() <<
-             "\n\n";
-
-   return std::apply([&](auto &&...args)
-   {
-      return enzyme::get<0>(
-                enzyme::autodiff<enzyme::Forward>
-                (+kernel, args...));
-   },
-   enzyme_args);
-}
-
-int main()
-{
-
-   auto func = [](const double &x)
-   {
-      return x*x;
-   };
-
-   using kf_param_ts = typename create_function_signature<
-                       decltype(&decltype(func)::operator())>::type::parameter_ts;
-   using kf_output_t = typename create_function_signature<
-                       decltype(&decltype(func)::operator())>::type::return_t;
-   auto kernel_args = decay_tuple<kf_param_ts> {};
-   auto kernel_shadow_args = decay_tuple<kf_param_ts> {};
-
-   std::get<0>(kernel_args) = 3;
-   std::get<0>(kernel_shadow_args) = 1;
-   const auto res = fwddiff_apply_enzyme(func, kernel_args, kernel_shadow_args);
-   std::cout << res << " == 6\n";
-
-   return 0;
-}

examples/dfem_objective.cpp

@@ -1,114 +0,0 @@
-#include "dfem.hpp"
-
-int main(int argc, char *argv[])
-{
-   Mpi::Init();
-
-   std::cout << std::setprecision(9);
-
-   const char *mesh_file = "../data/star.mesh";
-   int polynomial_order = 1;
-   int refinements = 0;
-
-   OptionsParser args(argc, argv);
-   args.AddOption(&mesh_file, "-m", "--mesh", "Mesh file to use.");
-   args.AddOption(&polynomial_order, "-o", "--order", "");
-   args.AddOption(&refinements, "-r", "--r", "");
-   args.ParseCheck();
-
-   Mesh mesh_serial(mesh_file, 1, 1);
-   mesh_serial.SetCurvature(1);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   const int dim = mesh_serial.Dimension();
-
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-   mesh_serial.Clear();
-
-   constexpr int vdim = 2;
-
-   // test_partial_assembly_setup_qf(mesh, 1, polynomial_order);
-   // exit(0);
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec, vdim);
-
-   Array<int> ess_tdof_list;
-   Array<int> ess_bdr(mesh.bdr_attributes.Max());
-   ess_bdr = 1;
-   h1fes.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
-
-   const IntegrationRule &ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder() + 1);
-
-   std::cout << "nqpts = " << ir.GetNPoints() << std::endl;
-   std::cout << "ndofs = " << h1fes.GlobalTrueVSize() << std::endl;
-
-   ParGridFunction u(&h1fes);
-   ParGridFunction g(&h1fes);
-   ParGridFunction rho(&h1fes);
-
-   auto exact_solution = [](const Vector &coords, Vector &u)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      u(0) = x*x + y;
-      u(1) = x + 0.5*y*y;
-   };
-
-   VectorFunctionCoefficient exact_solution_coeff(dim, exact_solution);
-
-   auto objective = [](tensor<double, 2> u, double rho,
-                       tensor<double, 2, 2> J,
-                       double w)
-   {
-      return sqnorm(u) * det(J) * w;
-   };
-
-   std::tuple inputs{Value{"displacement"}, Value{"density"}, Gradient{"coordinates"}, Weight{"integration_weight"}};
-   std::tuple outputs{ One{"integral"} };
-   ElementOperator objective_eop { objective, inputs, outputs };
-
-   std::vector<Field> solution_fields{{&u, "displacement"}};
-   std::vector<Field> parameter_fields{{mesh.GetNodes(), "coordinates"}, {&rho, "density"}};
-   std::vector<Field> dependent_variables{{&u, "displacement"}};
-   DifferentiableForm dop(solution_fields, parameter_fields, dependent_variables,
-                          mesh);
-
-   dop.AddElementOperator(objective_eop, ir);
-
-   u.ProjectCoefficient(exact_solution_coeff);
-   Vector zero;
-
-   Vector y(1);
-   Vector utdof;
-   u.GetTrueDofs(utdof);
-   dop.Mult(utdof, y);
-
-   // finite difference test
-   Vector dgdu(u.Size());
-   Vector fx(y);
-   out << "g: ";
-   print_vector(fx);
-   out << "\n";
-
-   for (int i = 0; i < u.Size(); i++)
-   {
-      double h = 1e-6;
-      u(i) += h;
-      dop.Mult(u, y);
-      u(i) -= h;
-      y -= fx;
-      y /= h;
-      dgdu(i) = y(0);
-   }
-
-   out << "dgdu: ";
-   print_vector(dgdu);
-
-   // Vector dgdu = dop.GetGradientWrt({&u, "displacement"});
-
-   return 0;
-}

examples/dfem_plaplacian.cpp

@@ -1,138 +0,0 @@
-#include "dfem.hpp"
-
-int main(int argc, char *argv[])
-{
-   Mpi::Init();
-
-   std::cout << std::setprecision(9);
-
-   const char *mesh_file = "../data/star.mesh";
-   int polynomial_order = 1;
-   int refinements = 0;
-
-   OptionsParser args(argc, argv);
-   args.AddOption(&mesh_file, "-m", "--mesh", "Mesh file to use.");
-   args.AddOption(&polynomial_order, "-o", "--order", "");
-   args.AddOption(&refinements, "-r", "--r", "");
-   args.ParseCheck();
-
-   Mesh mesh_serial(mesh_file, 1, 1);
-   mesh_serial.SetCurvature(1);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   const int dim = mesh_serial.Dimension();
-
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-   mesh_serial.Clear();
-
-   constexpr int vdim = 1;
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec, vdim);
-
-   Array<int> ess_tdof_list;
-   Array<int> ess_bdr(mesh.bdr_attributes.Max());
-   ess_bdr = 1;
-   h1fes.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
-
-   const IntegrationRule &ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder() + 1);
-
-   std::cout << "nqpts = " << ir.GetNPoints() << std::endl;
-   std::cout << "ndofs = " << h1fes.GlobalTrueVSize() << std::endl;
-
-   ParGridFunction u(&h1fes);
-
-   auto exact_solution = [](const Vector &coords)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      // PRESENT
-      return pow(x,2) + 0.5*x*pow(y,2);
-   };
-
-   FunctionCoefficient exact_solution_coeff(exact_solution);
-
-   auto plaplacian = [](double u,
-                        tensor<double, 2> dudxi,
-                        tensor<double, 2, 2> J,
-                        double w)
-   {
-      using mfem::internal::tensor;
-      auto dudx = dudxi * inv(J);
-      auto JxW = transpose(inv(J)) * det(J) * w;
-      // PRESENT: Implement (1+u^2) * ∇u
-      return (1.0 + u*u) * dudx * JxW;
-   };
-
-   // PRESENT: Implement descriptors
-   std::tuple input_descriptors = {Value{"potential"}, Gradient{"potential"}, Gradient{"coordinates"}, Weight{"integration_weights"}};
-   // PRESENT: Implement descriptors
-   std::tuple output_descriptors = {Gradient{"potential"}};
-
-   ElementOperator qf {plaplacian, input_descriptors, output_descriptors};
-
-   ElementOperator forcing_qf
-   {
-      [](tensor<double, 2> coords, tensor<double, 2, 2> J, double w)
-      {
-         int p = 2;
-         double x = coords(0);
-         double y = coords(1);
-         // *INDENT-OFF*
-         double mathematica_please_help_me = 2.*pow(x,2)*pow(y,2)*(pow(x,2) + 0.5*x*pow(y,2)) + 2*pow(2*x + 0.5*pow(y,2),2)*(pow(x,2) + 0.5*x*pow(y,2)) + 2*(1 + pow(pow(x,2) + 0.5*x*pow(y,2),2)) + 1.*x*(1 + pow(pow(x,2) + 0.5*x*pow(y,2),2));
-         return mathematica_please_help_me * det(J) * w;
-        // *INDENT-ON*
-      },
-      // inputs
-      std::tuple{
-         Value{"coordinates"},
-         Gradient{"coordinates"},
-         Weight{"integration_weight"}},
-      // outputs
-      std::tuple{
-         Value{"potential"}}
-   };
-
-   std::tuple list_of_qfs{qf_1, qf_2, qf_n};
-
-   std::vector<Field> solutions{{&u, "potential"}};
-   std::vector<Field> parameters{{mesh.GetNodes(), "coordinates"}};
-   DifferentiableForm dop(solutions, parameters, mesh);
-   dop.SetEssentialTrueDofs(ess_tdof_list);
-
-   auto R = dop.GetResidual(list_of_qfs, ir);
-   auto Jacobian_aka_dRdu = dop.GetDerivative<0>(list_of_qfs, ir);
-
-   // R(u) = (\grad u, \grad v) + (f, v)
-   // dop.AddElementOperator<AD::Enzyme>(qf, ir);
-   // dop.AddElementOperator<AD::None>(forcing_qf, ir);
-
-   GMRESSolver gmres(MPI_COMM_WORLD);
-   gmres.SetRelTol(1e-12);
-   gmres.SetMaxIter(5000);
-   gmres.SetPrintLevel(IterativeSolver::PrintLevel().Summary());
-
-   NewtonSolver newton(MPI_COMM_WORLD);
-   newton.SetSolver(gmres);
-   newton.SetOperator(dop);
-   newton.SetRelTol(1e-12);
-   newton.SetMaxIter(100);
-   newton.SetPrintLevel(1);
-
-   u = 1e-6;
-   u.ProjectBdrCoefficient(exact_solution_coeff, ess_bdr);
-   Vector x;
-   u.GetTrueDofs(x);
-
-   Vector zero;
-   newton.Mult(zero, x);
-
-   u.Distribute(x);
-
-   std::cout << "|u-u_ex|_L2 = " << u.ComputeL2Error(exact_solution_coeff) << "\n";
-
-   return 0;
-}

examples/dfem_poisson.cpp

@@ -1,192 +0,0 @@
-#include "dfem/dfem_refactor.hpp"
-#include "linalg/hypre.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-template <typename diffusion_t, typename force_t>
-class DiffusionOperator : public Operator
-{
-   template <typename diffusion_du_t>
-   class DiffusionJacobianOperator : public Operator
-   {
-   public:
-      DiffusionJacobianOperator(const DiffusionOperator *diffusion,
-                                std::shared_ptr<diffusion_du_t> diff_du) :
-         Operator(diffusion->Height()), s(diffusion)
-      {
-         diff_du->Assemble(A);
-         A.EliminateBC(s->ess_tdofs, Operator::DiagonalPolicy::DIAG_ONE);
-      }
-
-      void Mult(const Vector &x, Vector &y) const override
-      {
-         A.Mult(x, y);
-      }
-
-      const DiffusionOperator *s;
-      HypreParMatrix A;
-   };
-
-public:
-   DiffusionOperator(diffusion_t &diffusion, force_t &force,
-                     Array<int> &ess_tdofs) :
-      Operator(diffusion.Height()), diffusion(diffusion),
-      force(force), ess_tdofs(ess_tdofs), f(force.Height()) {}
-
-   void SetParameters(ParGridFunction &mesh_nodes)
-   {
-      diffusion.SetParameters({&mesh_nodes});
-      force.SetParameters({&mesh_nodes});
-
-      Vector zero;
-
-      this->mesh_nodes.SetSpace(mesh_nodes.ParFESpace());
-      this->mesh_nodes = mesh_nodes;
-   }
-
-   void Mult(const Vector &x, Vector &r) const override
-   {
-      diffusion.Mult(x, r);
-      force.Mult(x, f);
-      r -= f;
-      r.SetSubVector(ess_tdofs, 0.0);
-   }
-
-   Operator &GetGradient(const Vector &x) const override
-   {
-      ParGridFunction u(const_cast<ParFiniteElementSpace *>
-                        (*std::get_if<const ParFiniteElementSpace *>
-                         (&diffusion.solutions[0].data)));
-      u.SetFromTrueDofs(x);
-
-      auto dfdu = diffusion.template GetDerivativeWrt<0>({&u}, {&mesh_nodes});
-      dfdu->Assemble(A);
-      A.EliminateBC(ess_tdofs, DiagonalPolicy::DIAG_ONE);
-      return A;
-      // delete jacobian_operator;
-      // jacobian_operator = new
-      // DiffusionJacobianOperator<typename std::remove_pointer<decltype(dfdu.get())>::type>
-      // (this, dfdu);
-      // return *jacobian_operator;
-   }
-
-   diffusion_t &diffusion;
-   force_t &force;
-
-   const Array<int> ess_tdofs;
-   mutable Vector f;
-
-   mutable ParGridFunction mesh_nodes;
-
-   mutable Operator *jacobian_operator = nullptr;
-   mutable HypreParMatrix A;
-};
-
-int main(int argc, char *argv[])
-{
-   Mpi::Init();
-   int num_procs = Mpi::WorldSize();
-   int myid = Mpi::WorldRank();
-   Hypre::Init();
-
-   const char *mesh_file = "../data/ref-square.mesh";
-   int polynomial_order = 2;
-   int ir_order = 2;
-   int refinements = 4;
-
-   Mesh mesh_serial = Mesh(mesh_file);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   const int dim = mesh.Dimension();
-   mesh_serial.Clear();
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection potential_fec(polynomial_order, dim);
-   ParFiniteElementSpace potential_fes(&mesh, &potential_fec);
-
-   const IntegrationRule &potential_ir =
-      IntRules.Get(potential_fes.GetFE(0)->GetGeomType(),
-                   ir_order * potential_fec.GetOrder());
-
-   Array<int> bdr_attr_is_ess(mesh.bdr_attributes.Max());
-   bdr_attr_is_ess = 1;
-   Array<int> ess_tdofs;
-   potential_fes.GetEssentialTrueDofs(bdr_attr_is_ess, ess_tdofs);
-
-   ParGridFunction u(&potential_fes);
-   u = 0.0;
-
-   auto diffusion_kernel = [](const internal::dual<double, double> &u,
-                              const tensor<internal::dual<double, double>, 2> &dudxi,
-                              const tensor<double, 2, 2> &J,
-                              const double &w)
-   {
-      auto invJ = inv(J);
-      auto dudx = dudxi * invJ;
-      return std::tuple{(1.0 + u * u) * dudx * det(J) * w * transpose(invJ)};
-   };
-
-   std::tuple argument_operators_0{Value{"potential"}, Gradient{"potential"}, Gradient{"coordinates"}, Weight{"integration_weights"}};
-   std::tuple output_operator_0{Gradient{"potential"}};
-   ElementOperator op_0{diffusion_kernel, argument_operators_0, output_operator_0};
-
-   auto force_kernel = [](const tensor<double, 2, 2> &J,
-                          const double &w)
-   {
-      return std::tuple{1.0 * det(J) * w};
-   };
-   std::tuple argument_operators_1{Gradient{"coordinates"}, Weight{"integration_weights"}};
-   std::tuple output_operator_1{Value{"potential"}};
-   ElementOperator op_1{force_kernel, argument_operators_1, output_operator_1};
-
-   std::array solutions{FieldDescriptor{&potential_fes, "potential"}};
-   std::array parameters{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator diffusion_op{solutions, parameters, std::tuple{op_0}, mesh, potential_ir};
-   DifferentiableOperator force_op{solutions, parameters, std::tuple{op_1}, mesh, potential_ir};
-
-   DiffusionOperator diffusion(diffusion_op, force_op, ess_tdofs);
-
-   diffusion.SetParameters({*mesh_nodes});
-
-   HypreBoomerAMG amg;
-   amg.SetPrintLevel(0);
-
-   CGSolver solver(MPI_COMM_WORLD);
-   solver.SetAbsTol(1e-12);
-   solver.SetRelTol(1e-12);
-   solver.SetMaxIter(500);
-   solver.SetPrintLevel(2);
-   solver.SetPreconditioner(amg);
-
-   NewtonSolver newton(MPI_COMM_WORLD);
-   newton.SetOperator(diffusion);
-   newton.SetSolver(solver);
-   newton.SetRelTol(1e-8);
-   newton.SetMaxIter(10);
-   newton.SetPrintLevel(1);
-
-   Vector zero;
-   Vector x(potential_fes.GetTrueVSize());
-   u.ParallelProject(x);
-   newton.Mult(zero, x);
-
-   u.SetFromTrueDofs(x);
-
-   char vishost[] = "localhost";
-   int  visport   = 19916;
-   socketstream sol_sock(vishost, visport);
-   sol_sock << "parallel " << num_procs << " " << myid << "\n";
-   sol_sock.precision(8);
-   sol_sock << "solution\n" << mesh << u << std::flush;
-
-   return 0;
-}

examples/dfem_refactor.cpp

@@ -1,102 +0,0 @@
-#include "mfem.hpp"
-#include "dfem/dfem_refactor.hpp"
-
-using namespace mfem;
-
-auto main(int argc, char *argv[]) -> int
-{
-   Mpi::Init();
-
-   std::cout << std::setprecision(9);
-
-   const char *mesh_file = "../data/star.mesh";
-   int polynomial_order = 1;
-   int refinements = 0;
-
-   OptionsParser args(argc, argv);
-   args.AddOption(&mesh_file, "-m", "--mesh", "Mesh file to use.");
-   args.AddOption(&polynomial_order, "-o", "--order", "");
-   args.AddOption(&refinements, "-r", "--r", "");
-   args.ParseCheck();
-
-   Mesh mesh_serial(mesh_file, 1, 1);
-   mesh_serial.SetCurvature(1);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   const int dim = mesh_serial.Dimension();
-
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-   mesh_serial.Clear();
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   constexpr int vdim = 1;
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec, vdim);
-
-   Array<int> ess_tdof_list;
-   Array<int> ess_bdr(mesh.bdr_attributes.Max());
-   ess_bdr = 1;
-   h1fes.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
-
-   const IntegrationRule &ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder() + 1);
-
-   std::cout << "nqpts = " << ir.GetNPoints() << std::endl;
-   std::cout << "ndofs = " << h1fes.GlobalTrueVSize() << std::endl;
-
-   ParGridFunction u(&h1fes);
-
-   auto exact_solution = [](const Vector &coords)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      return 2.345 + x + y;
-   };
-
-   FunctionCoefficient exact_solution_coeff(exact_solution);
-
-   u.ProjectCoefficient(exact_solution_coeff);
-
-   auto domain_qf = [](const double &u,
-                       const tensor<double, 2, 2> &J,
-                       const double &w)
-   {
-      out << u << "\n" << J << "\n" << w << "\n\n";
-      return std::tuple{u * det(J) * w};
-   };
-
-   std::tuple input_descriptors = {Value{"potential"}, Gradient{"coordinates"}, Weight{"integration_weights"}};
-   std::tuple output_descriptors = {Value{"potential"}};
-   ElementOperator eop{domain_qf, input_descriptors, output_descriptors};
-
-   auto ops = std::tuple{eop};
-
-   auto solutions = std::array{FieldDescriptor{&h1fes, "potential"}};
-   auto parameters = std::array{FieldDescriptor{&mesh_fes, "coordinates"}};
-   DifferentiableOperator dop{solutions, parameters, ops, mesh, ir};
-
-   Vector x(h1fes.GetTrueVSize()), y(h1fes.GetTrueVSize());
-
-   u.GetTrueDofs(x);
-
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(x, y);
-
-   // Derivative wrt "potential", indicated by the index 0 of the set {solutions} \cup {parameters}
-   auto dFd0 = dop.GetDerivativeWrt<0>({&u}, {mesh_nodes});
-   dFd0->Mult(x, y);
-
-   Vector dFd0_vec;
-   dFd0->Assemble(dFd0_vec);
-
-   // Derivative wrt "coordinates", indicated by the index 1 of the set {solutions} \cup {parameters}
-   auto dFd1 = dop.GetDerivativeWrt<1>({&u}, {mesh_nodes});
-   dFd1->Mult(x, y);
-
-   return 0;
-}

examples/dfem_stokes.cpp

@@ -1,302 +0,0 @@
-#include "dfem/dfem.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-template <typename momentum_t, typename mass_conservation_t>
-class NavierStokesOperator : public Operator
-{
-   template <typename momentum_du_t, typename momentum_dp_t>
-   class NavierStokesJacobianOperator : public Operator
-   {
-   public:
-      NavierStokesJacobianOperator(const NavierStokesOperator *ns,
-                                   std::shared_ptr<momentum_du_t> mom_du,
-                                   std::shared_ptr<momentum_dp_t> mom_dp) :
-         Operator(ns->Height()), ns(ns), block_op(ns->block_offsets)
-      {
-         mom_du->Assemble(A);
-         A.EliminateBC(ns->vel_ess_tdofs, Operator::DiagonalPolicy::DIAG_ONE);
-
-         mom_dp->Assemble(D);
-         D.EliminateRows(ns->vel_ess_tdofs);
-
-         Dt = new TransposeOperator(D);
-
-         block_op.SetBlock(0, 0, &A);
-         block_op.SetBlock(0, 1, &D);
-         block_op.SetBlock(1, 0, Dt);
-         // std::ofstream amatofs("dfem_mat.dat");
-         // block_op.PrintMatlab(amatofs);
-         // amatofs.close();
-      }
-
-      void Mult(const Vector &x, Vector &y) const override
-      {
-         block_op.Mult(x, y);
-      }
-
-      ~NavierStokesJacobianOperator()
-      {
-         delete Dt;
-      }
-
-      const NavierStokesOperator *ns = nullptr;
-      HypreParMatrix A, D;
-      TransposeOperator *Dt = nullptr;
-      BlockOperator block_op;
-   };
-
-public:
-   NavierStokesOperator(momentum_t &momentum,
-                        mass_conservation_t &mass_conservation,
-                        Array<int> &offsets, Array<int> &vel_ess_tdofs) :
-      Operator(offsets.Last()), momentum(momentum),
-      mass_conservation(mass_conservation),
-      block_offsets(offsets), vel_ess_tdofs(vel_ess_tdofs) {}
-
-   void SetParameters(ParGridFunction &mesh_nodes)
-   {
-      momentum.SetParameters({&mesh_nodes});
-      mass_conservation.SetParameters({&mesh_nodes});
-      this->mesh_nodes.SetSpace(mesh_nodes.ParFESpace());
-      this->mesh_nodes = mesh_nodes;
-   }
-
-   void Mult(const Vector &x, Vector &r) const override
-   {
-      Vector ru(r.ReadWrite() + block_offsets[0],
-                block_offsets[1] - block_offsets[0]);
-      Vector rp(r.ReadWrite() + block_offsets[1],
-                block_offsets[2] - block_offsets[1]);
-
-      momentum.Mult(x, ru);
-
-      mass_conservation.Mult(x, rp);
-
-      ru.SetSubVector(vel_ess_tdofs, 0.0);
-   }
-
-   Operator &GetGradient(const Vector &x) const override
-   {
-      xtmp = x;
-      BlockVector xb(xtmp.ReadWrite(), block_offsets);
-
-      ParGridFunction u(const_cast<ParFiniteElementSpace *>
-                        (*std::get_if<const ParFiniteElementSpace *>
-                         (&momentum.solutions[0].data)));
-      ParGridFunction p(const_cast<ParFiniteElementSpace *>
-                        (*std::get_if<const ParFiniteElementSpace *>
-                         (&momentum.solutions[1].data)));
-      u.SetFromTrueDofs(xb.GetBlock(0));
-      p.SetFromTrueDofs(xb.GetBlock(1));
-      auto mom_du = momentum.template GetDerivativeWrt<0>({&u, &p}, {&mesh_nodes});
-      auto mom_dp = momentum.template GetDerivativeWrt<1>({&u, &p}, {&mesh_nodes});
-      delete jacobian_operator;
-      jacobian_operator = new NavierStokesJacobianOperator<
-      typename std::remove_pointer<decltype(mom_du.get())>::type,
-      typename std::remove_pointer<decltype(mom_dp.get())>::type>(this, mom_du,
-                                                                  mom_dp);
-      return *jacobian_operator;
-   }
-
-   momentum_t &momentum;
-   mass_conservation_t &mass_conservation;
-
-   const Array<int> block_offsets;
-   const Array<int> vel_ess_tdofs;
-   mutable Vector xtmp;
-
-   mutable ParGridFunction mesh_nodes;
-
-   mutable Operator *jacobian_operator = nullptr;
-};
-
-double reynolds = 10.0;
-
-int main(int argc, char *argv[])
-{
-   constexpr int dim = 3;
-   constexpr int vdim = dim;
-
-   Mpi::Init();
-   int num_procs = Mpi::WorldSize();
-   int myid = Mpi::WorldRank();
-   Hypre::Init();
-
-   const char *mesh_file = "../data/ref-cube.mesh";
-   int polynomial_order = 2;
-   int ir_order = 2;
-   int refinements = 2;
-
-   OptionsParser args(argc, argv);
-   args.AddOption(&refinements, "-r", "--refinements", "");
-   args.AddOption(&reynolds, "-rey", "--reynolds", "");
-   args.ParseCheck();
-
-   Mesh mesh_serial = Mesh(mesh_file);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   mesh_serial.Clear();
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection velocity_fec(polynomial_order, dim);
-   ParFiniteElementSpace velocity_fes(&mesh, &velocity_fec, dim);
-
-   H1_FECollection pressure_fec(polynomial_order - 1, dim);
-   ParFiniteElementSpace pressure_fes(&mesh, &pressure_fec);
-
-   const IntegrationRule &velocity_ir =
-      IntRules.Get(velocity_fes.GetFE(0)->GetGeomType(),
-                   ir_order * velocity_fec.GetOrder());
-
-   const IntegrationRule &pressure_ir =
-      IntRules.Get(pressure_fes.GetFE(0)->GetGeomType(),
-                   ir_order * pressure_fec.GetOrder());
-
-   Array<int> bdr_attr_is_ess(mesh.bdr_attributes.Max());
-   bdr_attr_is_ess = 1;
-   Array<int> vel_ess_tdofs;
-   velocity_fes.GetEssentialTrueDofs(bdr_attr_is_ess, vel_ess_tdofs);
-
-   ParGridFunction u(&velocity_fes);
-   ParGridFunction p(&pressure_fes);
-
-   auto u_f = [](const Vector &coords, Vector &u)
-   {
-      const double x = coords(0);
-      const double z = coords(2);
-      if (z >= 1.0)
-      {
-         u(0) = 1.0;
-      }
-      else
-      {
-         u(0) = 0.0;
-      }
-      u(1) = 0.0;
-      u(2) = 0.0;
-   };
-   auto u_coef = VectorFunctionCoefficient(dim, u_f);
-
-   u.ProjectCoefficient(u_coef);
-   p = 0.0;
-
-   // -\nabla \cdot (\nabla u + p * I) -> (\nabla u + p * I, \nabla v)
-   auto momentum_kernel = [](const tensor<double, dim> &u,
-                             const tensor<double, dim, dim> &dudxi,
-                             const double &p,
-                             const tensor<double, dim, dim> &J,
-                             const double &w)
-   {
-      static constexpr auto I = mfem::internal::IsotropicIdentity<dim>();
-      auto invJ = inv(J);
-      auto dudx = dudxi * invJ;
-      double Re = reynolds;
-      return mfem::tuple{(outer(u, u) - 1.0 / Re * dudx + p * I) * det(J) * w * transpose(invJ)};
-   };
-
-   mfem::tuple argument_operators_0{Value{"velocity"}, Gradient{"velocity"}, Value{"pressure"}, Gradient{"coordinates"}, Weight{}};
-   mfem::tuple output_operator_0{Gradient{"velocity"}};
-   ElementOperator op_0{momentum_kernel, argument_operators_0, output_operator_0};
-
-   // (\nabla \cdot u, q)
-   auto mass_conservation_kernel = [](const tensor<double, dim, dim> &dudxi,
-                                      const tensor<double, dim, dim> &J,
-                                      const double &w)
-   {
-      return mfem::tuple{tr(dudxi * inv(J)) * det(J) * w};
-   };
-
-   mfem::tuple argument_operators_1{Gradient{"velocity"}, Gradient{"coordinates"}, Weight{}};
-   mfem::tuple output_operator_1{Value{"pressure"}};
-   ElementOperator op_1{mass_conservation_kernel, argument_operators_1, output_operator_1};
-
-   std::array solutions{FieldDescriptor{&velocity_fes, "velocity"}, FieldDescriptor{&pressure_fes, "pressure"}};
-   std::array parameters{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator momentum_op{solutions, parameters, mfem::tuple{op_0}, mesh, velocity_ir};
-   DifferentiableOperator mass_conservation_op{solutions, parameters, mfem::tuple{op_1}, mesh, pressure_ir};
-
-   // Preconditioner form
-   auto pressure_mass_kernel = [](const double &p,
-                                  const tensor<double, dim, dim> &J,
-                                  const double &w)
-   {
-      return mfem::tuple{p * det(J) * w};
-   };
-
-   mfem::tuple pms_args{Value{"pressure"}, Gradient{"coordinates"}, Weight{}};
-   mfem::tuple pms_outs{Value{"pressure"}};
-   ElementOperator pressure_mass{pressure_mass_kernel, pms_args, pms_outs};
-   std::array pms_sols{FieldDescriptor{&pressure_fes, "pressure"}};
-   std::array pms_params{FieldDescriptor{&mesh_fes, "coordinates"}};
-   DifferentiableOperator pressure_mass_op{pms_sols, pms_params, mfem::tuple{pressure_mass}, mesh, pressure_ir};
-
-   Array<int> block_offsets(3);
-   block_offsets[0] = 0;
-   block_offsets[1] = velocity_fes.GetTrueVSize();
-   block_offsets[2] = pressure_fes.GetTrueVSize();
-   block_offsets.PartialSum();
-
-   NavierStokesOperator navierstokes(momentum_op, mass_conservation_op,
-                                     block_offsets,
-                                     vel_ess_tdofs);
-
-   BlockVector x(block_offsets), y(block_offsets);
-   u.ParallelProject(x.GetBlock(0));
-   // p.ParallelProject(x.GetBlock(1));
-   navierstokes.SetParameters(*mesh_nodes);
-
-   HypreParMatrix A;
-   momentum_op.template GetDerivativeWrt<0>({&u, &p}, {mesh_nodes})->Assemble(A);
-   A.EliminateBC(vel_ess_tdofs, Operator::DiagonalPolicy::DIAG_ONE);
-   HypreBoomerAMG amg(A);
-   amg.SetMaxLevels(50);
-   amg.SetPrintLevel(0);
-
-   HypreParMatrix Mp;
-   pressure_mass_op.template GetDerivativeWrt<0>({&p}, {mesh_nodes})->Assemble(Mp);
-
-   HypreDiagScale Mp_inv(Mp);
-
-   BlockDiagonalPreconditioner prec(block_offsets);
-   prec.SetDiagonalBlock(0, &amg);
-   prec.SetDiagonalBlock(1, &Mp_inv);
-
-   GMRESSolver solver(MPI_COMM_WORLD);
-   solver.SetAbsTol(0.0);
-   solver.SetRelTol(1e-8);
-   solver.SetKDim(100);
-   solver.SetMaxIter(500);
-   solver.SetPrintLevel(2);
-   solver.SetPreconditioner(prec);
-
-   NewtonSolver newton(MPI_COMM_WORLD);
-   newton.SetOperator(navierstokes);
-   newton.SetSolver(solver);
-   newton.SetRelTol(1e-8);
-   newton.SetMaxIter(50);
-   newton.SetPrintLevel(1);
-
-   Vector zero;
-   newton.Mult(zero, x);
-
-   u.SetFromTrueDofs(x.GetBlock(0));
-
-   char vishost[] = "localhost";
-   int  visport   = 19916;
-   socketstream sol_sock(vishost, visport);
-   sol_sock << "parallel " << num_procs << " " << myid << "\n";
-   sol_sock.precision(8);
-   sol_sock << "solution\n" << mesh << u << std::flush;
-
-   return 0;
-}

examples/dfem_test_diffusion_2d.cpp

@@ -1,174 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int test_diffusion(
-   std::string mesh_file, int refinements, int polynomial_order)
-{
-   Mesh mesh_serial = Mesh(mesh_file);
-   MFEM_ASSERT(mesh_serial.Dimension() == 2, "incorrect mesh dimension");
-
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   const int dim = mesh.Dimension();
-   mesh_serial.Clear();
-
-   out << "#el: " << mesh.GetNE() << "\n";
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction*>(mesh.GetNodes());
-   ParFiniteElementSpace& mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec);
-
-   out << "#dofs " << h1fes.GetTrueVSize() << "\n";
-
-   const IntegrationRule& ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder());
-
-   out << "#qp: " << ir.GetNPoints() << "\n";
-
-   ParGridFunction f1_g(&h1fes);
-   ParGridFunction rho_g(&h1fes);
-
-   auto kernel = [] MFEM_HOST_DEVICE(const tensor<double, 2, 2>& J,
-                                     const double& w, const tensor<double, 2>& dudxi)
-   {
-      auto invJ = inv(J);
-      return mfem::tuple{dudxi * invJ * transpose(invJ) * det(J) * w};
-   };
-
-   mfem::tuple argument_operators =
-   {
-      Gradient{"coordinates"}, Weight{}, Gradient{"potential"}
-   };
-   mfem::tuple output_operator = {Gradient{"potential"}};
-
-   ElementOperator eop = {kernel, argument_operators, output_operator};
-   auto ops = mfem::tuple{eop};
-
-   auto solutions = std::array{FieldDescriptor{&h1fes, "potential"}};
-   auto parameters = std::array{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-   auto f1 = [](const Vector& coords)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      return 2.345 + 0.25 * x * x * y + y * y * x;
-   };
-
-   FunctionCoefficient f1_c(f1);
-   f1_g.ProjectCoefficient(f1_c);
-
-   Vector x(f1_g), y(h1fes.TrueVSize());
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(x, y);
-   y.HostRead();
-
-   ParBilinearForm a(&h1fes);
-   a.AddDomainIntegrator(new DiffusionIntegrator);
-   a.SetAssemblyLevel(AssemblyLevel::PARTIAL);
-   a.Assemble();
-   a.Finalize();
-
-   Vector y2(h1fes.TrueVSize());
-   a.Mult(x, y2);
-   y2.HostRead();
-   Vector diff(y2);
-   diff -= y;
-   if (diff.Norml2() > 1e-10)
-   {
-      print_vector(diff);
-      print_vector(y2);
-      print_vector(y);
-      return 1;
-   }
-
-   // // Test linearization here as well
-   // auto dFdu = dop.GetDerivativeWrt<0>({&f1_g}, {mesh_nodes});
-
-   // if (dFdu->Height() != h1fes.GetTrueVSize())
-   // {
-   //    out << "dFdu unexpected height of " << dFdu->Height() << "\n";
-   //    return 1;
-   // }
-
-   // dFdu->Mult(x, y);
-   // y.HostRead();
-   // a.Mult(x, y2);
-   // y2.HostRead();
-
-   // diff = y2;
-   // diff -= y;
-   // if (diff.Norml2() > 1e-10)
-   // {
-   //    print_vector(diff);
-   //    print_vector(y2);
-   //    print_vector(y);
-   //    return 1;
-   // }
-
-   // // fd jacobian test
-   // {
-   //    double eps = 1.0e-6;
-   //    Vector v(x), xpv(x), xmv(x), fxpv(x.Size()), fxmv(x.Size());
-   //    v *= eps;
-   //    xpv += v;
-   //    xmv -= v;
-   //    dop.Mult(xpv, fxpv);
-   //    dop.Mult(xmv, fxmv);
-   //    fxpv -= fxmv;
-   //    fxpv /= (2.0*eps);
-
-   //    fxpv -= y;
-   //    if (fxpv.Norml2() > eps)
-   //    {
-   //       out << "||dFdu_FD u^* - ex||_l2 = " << fxpv.Norml2() << "\n";
-   //       return 1;
-   //    }
-   // }
-
-   // f1_g.ProjectCoefficient(f1_c);
-   // rho_g.ProjectCoefficient(rho_c);
-   // auto dFdrho = dop.GetDerivativeWrt<1>({&f1_g}, {&rho_g, mesh_nodes});
-   // if (dFdrho->Height() != h1fes.GetTrueVSize())
-   // {
-   //    out << "dFdrho unexpected height of " << dFdrho->Height() << "\n";
-   //    return 1;
-   // }
-
-   // dFdrho->Mult(rho_g, y);
-
-   // // fd test
-   // {
-   //    double eps = 1.0e-6;
-   //    Vector v(rho_g), rhopv(rho_g), rhomv(rho_g), frhopv(x.Size()),
-   //    frhomv(x.Size()); v *= eps; rhopv += v; rhomv -= v;
-   //    dop.SetParameters({&rhopv, mesh_nodes});
-   //    dop.Mult(x, frhopv);
-   //    dop.SetParameters({&rhomv, mesh_nodes});
-   //    dop.Mult(x, frhomv);
-   //    frhopv -= frhomv;
-   //    frhopv /= (2.0*eps);
-
-   //    frhopv -= y;
-   //    if (frhopv.Norml2() > eps)
-   //    {
-   //       out << "||dFdu_FD u^* - ex||_l2 = " << frhopv.Norml2() << "\n";
-   //       return 1;
-   //    }
-   // }
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(test_diffusion);

examples/dfem_test_diffusion_3d.cpp

@@ -1,296 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-#include "examples/dfem/dfem_parametricspace.hpp"
-#include "fem/bilininteg.hpp"
-#include "general/tic_toc.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-
-int test_diffusion_3d(
-   std::string mesh_file, int refinements, int polynomial_order)
-{
-   constexpr int num_samples = 10;
-   constexpr int dim = 3;
-   Mesh mesh_serial = Mesh(mesh_file);
-   MFEM_ASSERT(mesh_serial.Dimension() == dim, "incorrect mesh dimension");
-
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(polynomial_order);
-   mesh_serial.Clear();
-
-   out << "#el: " << mesh.GetNE() << "\n";
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction*>(mesh.GetNodes());
-   ParFiniteElementSpace& mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec);
-
-
-   out << "#dofs " << h1fes.GetTrueVSize() << "\n";
-
-   const IntegrationRule& ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(),
-                   h1fes.GetFE(0)->GetOrder() + h1fes.GetFE(0)->GetOrder() + h1fes.GetFE(
-                      0)->GetDim() - 1);
-
-   printf("#ndof per el = %d\n", h1fes.GetFE(0)->GetDof());
-   printf("#nqp = %d\n", ir.GetNPoints());
-   printf("#q1d = %d\n", (int)floor(pow(ir.GetNPoints(), 1.0/dim) + 0.5));
-
-   ParametricSpace qdata_space(dim, dim * dim, ir.GetNPoints(),
-                               dim * dim * ir.GetNPoints() * mesh.GetNE());
-   ParametricFunction qdata(qdata_space);
-
-   ParGridFunction f1_g(&h1fes);
-   ParGridFunction rho_g(&h1fes);
-
-   auto f1 = [](const Vector& coords)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      const double z = coords(2);
-      return 2.345 + x + x*y + 1.25 * z*x;
-   };
-   FunctionCoefficient f1_c(f1);
-   f1_g.ProjectCoefficient(f1_c);
-
-   Vector x(f1_g), y(h1fes.GetTrueVSize());
-   {
-      auto diffusion_mf_kernel =
-         [] MFEM_HOST_DEVICE (
-            const tensor<double, dim>& dudxi,
-            const tensor<double, dim, dim>& J,
-            const double& w)
-      {
-         auto invJ = inv(J);
-         return mfem::tuple{dudxi * invJ * transpose(invJ) * det(J) * w};
-      };
-
-      mfem::tuple argument_operators = {Gradient{"potential"}, Gradient{"coordinates"}, Weight{}};
-      mfem::tuple output_operator = {Gradient{"potential"}};
-
-      ElementOperator eop = {diffusion_mf_kernel, argument_operators, output_operator};
-      auto ops = mfem::tuple{eop};
-
-      auto solutions = std::array{FieldDescriptor{&h1fes, "potential"}};
-      auto parameters = std::array{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-      DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-      dop.SetParameters({mesh_nodes});
-      StopWatch sw;
-      sw.Start();
-      for (int i = 0; i < num_samples; i++)
-      {
-         dop.Mult(x, y);
-      }
-      sw.Stop();
-      printf("dfem mf:       %fs\n", sw.RealTime() / num_samples);
-      y.HostRead();
-   }
-
-   {
-      auto diffusion_setup_kernel =
-         [] MFEM_HOST_DEVICE (
-            const tensor<double, dim, dim>& J,
-            const double& w)
-      {
-         auto invJ = inv(J);
-         return mfem::tuple{invJ * transpose(invJ) * det(J) * w};
-      };
-
-      mfem::tuple argument_operators = {Gradient{"coordinates"}, Weight{}};
-      mfem::tuple output_operator = {None{"qdata"}};
-
-      ElementOperator eop = {diffusion_setup_kernel, argument_operators, output_operator};
-      auto ops = mfem::tuple{eop};
-
-      auto solutions = std::array{FieldDescriptor{&h1fes, "potential"}};
-      auto parameters = std::array
-      {
-         FieldDescriptor{&mesh_fes, "coordinates"},
-         FieldDescriptor{&qdata_space, "qdata"}};
-
-      DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-      dop.SetParameters({mesh_nodes, &qdata});
-      StopWatch sw;
-      sw.Start();
-      for (int i = 0; i < num_samples; i++)
-      {
-         dop.Mult(x, qdata);
-      }
-      sw.Stop();
-      printf("dfem pa setup: %fs\n", sw.RealTime() / num_samples);
-      qdata.HostRead();
-   }
-
-   // printf("qdata: ");
-   // print_vector(qdata);
-
-   {
-      auto diffusion_apply_kernel =
-         [] MFEM_HOST_DEVICE (
-            const tensor<double, dim>& dudxi,
-            const tensor<double, dim, dim>& qdata)
-      {
-         return mfem::tuple{dudxi * qdata};
-      };
-
-      mfem::tuple argument_operators = {Gradient{"potential"}, None{"qdata"}};
-      mfem::tuple output_operator = {Gradient{"potential"}};
-
-      ElementOperator eop = {diffusion_apply_kernel, argument_operators, output_operator};
-      auto ops = mfem::tuple{eop};
-
-      auto solutions = std::array{FieldDescriptor{&h1fes, "potential"}};
-      auto parameters = std::array{FieldDescriptor{&qdata_space, "qdata"}};
-
-      DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-      dop.SetParameters({&qdata});
-      StopWatch sw;
-      sw.Start();
-      for (int i = 0; i < num_samples; i++)
-      {
-         dop.Mult(x, y);
-      }
-      sw.Stop();
-      printf("dfem pa apply: %fs\n", sw.RealTime() / num_samples);
-      y.HostRead();
-   }
-
-   // printf("y: ");
-   // print_vector(y);
-
-   Vector y2(h1fes.TrueVSize());
-   {
-      ParBilinearForm a(&h1fes);
-      auto diff_integ = new DiffusionIntegrator;
-      diff_integ->SetIntRule(&ir);
-      a.AddDomainIntegrator(diff_integ);
-      a.SetAssemblyLevel(AssemblyLevel::PARTIAL);
-
-      OperatorPtr A;
-      StopWatch sw;
-      sw.Start();
-      a.Assemble();
-      a.Finalize();
-      Array<int> empty;
-      a.FormSystemMatrix(empty, A);
-      sw.Stop();
-      printf("mfem pa setup: %fs\n", sw.RealTime());
-
-      sw.Clear();
-      sw.Start();
-      for (int i = 0; i < num_samples; i++)
-      {
-         A->Mult(x, y2);
-      }
-      sw.Stop();
-      printf("mfem pa apply: %fs\n", sw.RealTime() / num_samples);
-      y2.HostRead();
-   }
-   // printf("y2: ");
-   // print_vector(y2);
-
-   Vector diff(y2);
-   diff -= y;
-   if (diff.Norml2() > 1e-15)
-   {
-      // printf("y ");
-      // print_vector(y);
-      // printf("y2: ");
-      // print_vector(y2);
-      // printf("diff: ");
-      // print_vector(diff);
-      return 1;
-   }
-
-   // Test linearization here as well
-   // auto dFdu = dop.GetDerivativeWrt<0>({&f1_g}, {mesh_nodes});
-
-   // if (dFdu->Height() != h1fes.GetTrueVSize())
-   // {
-   //    out << "dFdu unexpected height of " << dFdu->Height() << "\n";
-   //    return 1;
-   // }
-
-   // dFdu->Mult(x, y);
-   // y.HostRead();
-   // a.Mult(x, y2);
-   // y2.HostRead();
-
-   // diff = y2;
-   // diff -= y;
-   // if (diff.Norml2() > 1e-10)
-   // {
-   //    print_vector(diff);
-   //    print_vector(y2);
-   //    print_vector(y);
-   //    return 1;
-   // }
-
-   // // fd jacobian test
-   // {
-   //    double eps = 1.0e-6;
-   //    Vector v(x), xpv(x), xmv(x), fxpv(x.Size()), fxmv(x.Size());
-   //    v *= eps;
-   //    xpv += v;
-   //    xmv -= v;
-   //    dop.Mult(xpv, fxpv);
-   //    dop.Mult(xmv, fxmv);
-   //    fxpv -= fxmv;
-   //    fxpv /= (2.0*eps);
-
-   //    fxpv -= y;
-   //    if (fxpv.Norml2() > eps)
-   //    {
-   //       out << "||dFdu_FD u^* - ex||_l2 = " << fxpv.Norml2() << "\n";
-   //       return 1;
-   //    }
-   // }
-
-   // f1_g.ProjectCoefficient(f1_c);
-   // rho_g.ProjectCoefficient(rho_c);
-   // auto dFdrho = dop.GetDerivativeWrt<1>({&f1_g}, {&rho_g, mesh_nodes});
-   // if (dFdrho->Height() != h1fes.GetTrueVSize())
-   // {
-   //    out << "dFdrho unexpected height of " << dFdrho->Height() << "\n";
-   //    return 1;
-   // }
-
-   // dFdrho->Mult(rho_g, y);
-
-   // // fd test
-   // {
-   //    double eps = 1.0e-6;
-   //    Vector v(rho_g), rhopv(rho_g), rhomv(rho_g), frhopv(x.Size()),
-   //    frhomv(x.Size()); v *= eps; rhopv += v; rhomv -= v;
-   //    dop.SetParameters({&rhopv, mesh_nodes});
-   //    dop.Mult(x, frhopv);
-   //    dop.SetParameters({&rhomv, mesh_nodes});
-   //    dop.Mult(x, frhomv);
-   //    frhopv -= frhomv;
-   //    frhopv /= (2.0*eps);
-
-   //    frhopv -= y;
-   //    if (frhopv.Norml2() > eps)
-   //    {
-   //       out << "||dFdu_FD u^* - ex||_l2 = " << frhopv.Norml2() << "\n";
-   //       return 1;
-   //    }
-   // }
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(test_diffusion_3d);

examples/dfem_test_elasticity.cpp

@@ -1,109 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int test_elasticity(std::string mesh_file,
-                    int refinements,
-                    int polynomial_order)
-{
-   Mesh mesh_serial = Mesh(mesh_file);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   const int dim = mesh.Dimension();
-   const int vdim = dim;
-   mesh_serial.Clear();
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec, vdim);
-
-   Array<int> ess_bdr(mesh.bdr_attributes.Max());
-   Array<int> ess_tdof;
-   ess_bdr = 1;
-   h1fes.GetEssentialTrueDofs(ess_bdr, ess_tdof);
-
-   const IntegrationRule &ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 6 * h1fec.GetOrder());
-
-   out << "#qp: " << ir.GetNPoints() << "\n";
-   out << "#dof_el: " << h1fes.GetRestrictionMatrix()->Height() / mesh.GetNE() <<
-       "\n";
-
-   ParGridFunction u(&h1fes);
-
-   auto f1 = [](const Vector& coords, Vector &u)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      u(0) = 2.345 + 0.25 * x * x * y + y * y * x;
-      u(1) = 2.345 - 0.25 * x * y * y + y * x * x;
-   };
-
-   VectorFunctionCoefficient u_c(dim, f1);
-   u.ProjectCoefficient(u_c);
-
-   ConstantCoefficient l_coeff(0.5), m_coeff(0.25);
-
-   ParBilinearForm A_form(&h1fes);
-   auto A_integ = new ElasticityIntegrator(l_coeff, m_coeff);
-   A_integ->SetIntegrationRule(ir);
-   A_form.AddDomainIntegrator(A_integ);
-   A_form.Assemble();
-   A_form.Finalize();
-
-   auto elasticity_kernel = [](const tensor<double, 2, 2> &dudxi,
-                               const tensor<double, 2, 2> &J,
-                               const double &w)
-   {
-      constexpr double lambda = 0.5;
-      constexpr double mu = 0.25;
-      static constexpr auto I = mfem::internal::IsotropicIdentity<2>();
-      auto invJ = inv(J);
-      auto eps = sym(dudxi * invJ);
-      return mfem::tuple{transpose(lambda * tr(eps) * I + 2.0 * mu * eps) * det(J) * w * transpose(invJ)};
-   };
-
-   mfem::tuple argument_operators{Gradient{"displacement"}, Gradient{"coordinates"}, Weight{}};
-   mfem::tuple output_operator{Gradient{"displacement"}};
-
-   ElementOperator op{elasticity_kernel, argument_operators, output_operator};
-
-   std::array solutions{FieldDescriptor{&h1fes, "displacement"}};
-   std::array parameters{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop{solutions, parameters, mfem::tuple{op}, mesh, ir};
-
-   Vector x(u), y1(h1fes.GetTrueVSize()),
-          y2(h1fes.GetTrueVSize());
-
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(x, y1);
-   y1.HostRead();
-
-   A_form.Mult(x, y2);
-   y2.HostRead();
-
-   Vector diff(y2);
-   diff -= y1;
-   if (diff.Norml2() > 1e-10)
-   {
-      out << "||F(u) - ex||_l2 = " << diff.Norml2() << "\n";
-      print_vector(diff);
-      print_vector(y1);
-      print_vector(y2);
-      return 1;
-   }
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(test_elasticity);

examples/dfem_test_interpolate_gradient_linear_scalar_3d.cpp

@@ -1,115 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-#include "examples/dfem/dfem_parametricspace.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int test_interpolate_gradient_linear_scalar_3d(std::string mesh_file,
-                                               int refinements,
-                                               int polynomial_order)
-{
-   constexpr int dim = 3;
-   Mesh mesh_serial = Mesh(mesh_file);
-   MFEM_ASSERT(mesh_serial.Dimension() == dim, "wrong mesh dimension");
-
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   mesh_serial.Clear();
-
-   ParGridFunction *mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec);
-
-   // const IntegrationRule &ir =
-   //    IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder() + 1);
-   IntegrationRules gll_rules(0, Quadrature1D::GaussLobatto);
-   const IntegrationRule &ir = gll_rules.Get(h1fes.GetFE(0)->GetGeomType(),
-                                             2 * polynomial_order - 1);
-
-   ParGridFunction f1_g(&h1fes);
-
-   ParametricSpace pspace(dim, dim, ir.GetNPoints(),
-                          dim * ir.GetNPoints() * mesh.GetNE());
-   ParametricFunction qdata(pspace);
-
-   auto kernel = [](const tensor<double, dim> &dudxi,
-                    const tensor<double, dim, dim> &J)
-   {
-      return mfem::tuple{dudxi * inv(J)};
-   };
-
-   mfem::tuple argument_operators = {Gradient{"potential"}, Gradient{"coordinates"}};
-   mfem::tuple output_operator = {None{"qdata"}};
-
-   ElementOperator eop = {kernel, argument_operators, output_operator};
-   auto ops = mfem::tuple{eop};
-
-   auto solutions = std::array{FieldDescriptor{&h1fes, "potential"}};
-   auto parameters = std::array
-   {
-      FieldDescriptor{&mesh_fes, "coordinates"},
-      FieldDescriptor{&pspace, "qdata"}
-   };
-
-   DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-   auto f1 = [](const Vector &coords)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      const double z = coords(2);
-      return 2.345 + x * y * z + y * z;
-   };
-
-   FunctionCoefficient f1_c(f1);
-   f1_g.ProjectCoefficient(f1_c);
-
-   Vector x(*f1_g.GetTrueDofs()), y(h1fes.TrueVSize() * dim);
-   dop.SetParameters({mesh_nodes, &qdata});
-   dop.Mult(x, y);
-
-   Vector f_test(h1fes.GetElementRestriction(
-                    ElementDofOrdering::LEXICOGRAPHIC)->Height() * dim);
-   for (int e = 0; e < mesh.GetNE(); e++)
-   {
-      ElementTransformation *T = mesh.GetElementTransformation(e);
-
-      for (int qp = 0; qp < ir.GetNPoints(); qp++)
-      {
-         const IntegrationPoint &ip = ir.IntPoint(qp);
-         T->SetIntPoint(&ip);
-
-         Vector g(dim);
-         f1_g.GetGradient(*T, g);
-         // printf("(%f, %f, %f): (%f, %f, %f)\n", ip.x, ip.y, ip.z,  g(0), g(1), g(2));
-         for (int d = 0; d < dim; d++)
-         {
-            int qpo = qp * dim;
-            int eo = e * (ir.GetNPoints() * dim);
-            f_test(d + qpo + eo) = g(d);
-         }
-      }
-   }
-
-   Vector diff(f_test);
-   diff -= y;
-   if (diff.Norml2() > 1e-10)
-   {
-      print_vector(diff);
-      print_vector(f_test);
-      print_vector(y);
-      return 1;
-   }
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(test_interpolate_gradient_linear_scalar_3d);

examples/dfem_test_interpolate_linear_scalar.cpp

@@ -1,91 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int test_interpolate_linear_scalar(std::string mesh_file,
-                                   int refinements,
-                                   int polynomial_order)
-{
-   Mesh mesh_serial = Mesh(mesh_file);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   const int dim = mesh.Dimension();
-   mesh_serial.Clear();
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec);
-
-   const IntegrationRule &ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder() + 1);
-
-   ParGridFunction f1_g(&h1fes);
-
-   auto kernel = [](const double &u, const tensor<double, 2, 2> &J,
-                    const double &w)
-   {
-      return mfem::tuple{u};
-   };
-
-   mfem::tuple argument_operators = {Value{"potential"}, Gradient{"coordinates"}, Weight{}};
-   mfem::tuple output_operator = {None{"potential"}};
-
-   ElementOperator eop = {kernel, argument_operators, output_operator};
-   auto ops = mfem::tuple{eop};
-
-   auto solutions = std::array{FieldDescriptor{&h1fes, "potential"}};
-   auto parameters = std::array{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-   auto f1 = [](const Vector &coords)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      return 2.345 + x + y;
-   };
-
-   FunctionCoefficient f1_c(f1);
-   f1_g.ProjectCoefficient(f1_c);
-
-   Vector x(*f1_g.GetTrueDofs()), y(h1fes.TrueVSize());
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(x, y);
-
-   Vector f_test(h1fes.GetElementRestriction(
-                    ElementDofOrdering::LEXICOGRAPHIC)->Height());
-   for (int e = 0; e < mesh.GetNE(); e++)
-   {
-      ElementTransformation *T = mesh.GetElementTransformation(e);
-      for (int qp = 0; qp < ir.GetNPoints(); qp++)
-      {
-         const IntegrationPoint &ip = ir.IntPoint(qp);
-         T->SetIntPoint(&ip);
-
-         f_test((e * ir.GetNPoints()) + qp) = f1_c.Eval(*T, ip);
-      }
-   }
-
-   Vector diff(f_test);
-   diff -= y;
-   if (diff.Norml2() > 1e-10)
-   {
-      print_vector(diff);
-      print_vector(f_test);
-      print_vector(y);
-      return 1;
-   }
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(test_interpolate_linear_scalar);

examples/dfem_test_interpolate_linear_scalar_3d.cpp

@@ -1,93 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int test_interpolate_linear_scalar_3d(std::string mesh_file,
-                                      int refinements,
-                                      int polynomial_order)
-{
-   constexpr int dim = 3;
-   Mesh mesh_serial = Mesh(mesh_file);
-   MFEM_ASSERT(mesh_serial.Dimension() == dim, "wrong mesh dimension");
-
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   mesh_serial.Clear();
-
-   ParGridFunction *mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec);
-
-   const IntegrationRule &ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder() + 1);
-
-   ParGridFunction f1_g(&h1fes);
-
-   auto kernel = [](const double &u)
-   {
-      return mfem::tuple{u};
-   };
-
-   mfem::tuple argument_operators = {Value{"potential"}};
-   mfem::tuple output_operator = {None{"potential"}};
-
-   ElementOperator eop = {kernel, argument_operators, output_operator};
-   auto ops = mfem::tuple{eop};
-
-   auto solutions = std::array{FieldDescriptor{&h1fes, "potential"}};
-   auto parameters = std::array{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-   auto f1 = [](const Vector &coords)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      const double z = coords(2);
-      return 2.345 + x + y + 1.25 * z;
-   };
-
-   FunctionCoefficient f1_c(f1);
-   f1_g.ProjectCoefficient(f1_c);
-
-   Vector x(*f1_g.GetTrueDofs()), y(h1fes.TrueVSize());
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(x, y);
-
-   Vector f_test(h1fes.GetElementRestriction(
-                    ElementDofOrdering::LEXICOGRAPHIC)->Height());
-   for (int e = 0; e < mesh.GetNE(); e++)
-   {
-      ElementTransformation *T = mesh.GetElementTransformation(e);
-      for (int qp = 0; qp < ir.GetNPoints(); qp++)
-      {
-         const IntegrationPoint &ip = ir.IntPoint(qp);
-         T->SetIntPoint(&ip);
-
-         f_test((e * ir.GetNPoints()) + qp) = f1_c.Eval(*T, ip);
-      }
-   }
-
-   Vector diff(f_test);
-   diff -= y;
-   if (diff.Norml2() > 1e-10)
-   {
-      print_vector(diff);
-      print_vector(f_test);
-      print_vector(y);
-      return 1;
-   }
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(test_interpolate_linear_scalar_3d);

examples/dfem_test_interpolate_linear_vector.cpp

@@ -1,100 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int test_interpolate_linear_vector(std::string mesh_file, int refinements,
-                                   int polynomial_order)
-{
-   constexpr int vdim = 2;
-   Mesh mesh_serial = Mesh(mesh_file);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-   mesh.SetCurvature(1);
-   const int dim = mesh.Dimension();
-   mesh_serial.Clear();
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec, vdim);
-
-   const IntegrationRule &ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder() + 1);
-
-   QuadratureSpace qspace(mesh, ir);
-   QuadratureFunction qf(&qspace, vdim);
-
-   ParGridFunction f1_g(&h1fes);
-
-   auto kernel = [](const tensor<double, 2> &u)
-   {
-      return mfem::tuple{u};
-   };
-
-   mfem::tuple argument_operators = {Value{"potential"}};
-   mfem::tuple output_operator = {None{"potential"}};
-
-   ElementOperator eop{kernel, argument_operators, output_operator};
-   auto ops = mfem::tuple{eop};
-
-   auto solutions = std::array{FieldDescriptor{&h1fes, "potential"}};
-   auto parameters = std::array{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-   auto f1 = [](const Vector &coords, Vector &u)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      u(0) = 2.345 + x + y;
-      u(1) = 12.345 + x + y;
-   };
-
-   VectorFunctionCoefficient f1_c(vdim, f1);
-   f1_g.ProjectCoefficient(f1_c);
-
-   Vector x(f1_g), y(f1_g.Size());
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(x, y);
-
-   Vector f_test(qf.Size());
-   for (int e = 0; e < mesh.GetNE(); e++)
-   {
-      ElementTransformation *T = mesh.GetElementTransformation(e);
-      for (int qp = 0; qp < ir.GetNPoints(); qp++)
-      {
-         const IntegrationPoint &ip = ir.IntPoint(qp);
-         T->SetIntPoint(&ip);
-
-         Vector f(vdim);
-         f1_g.GetVectorValue(*T, ip, f);
-         for (int d = 0; d < vdim; d++)
-         {
-            int qpo = qp * vdim;
-            int eo = e * (ir.GetNPoints() * vdim);
-            f_test(d + qpo + eo) = f(d);
-         }
-      }
-   }
-
-   Vector diff(f_test);
-   diff -= y;
-   if (diff.Norml2() > 1e-10)
-   {
-      print_vector(diff);
-      print_vector(f_test);
-      print_vector(y);
-      return 1;
-   }
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(test_interpolate_linear_vector);

examples/dfem_test_interpolate_linear_vector_3d.cpp

@@ -1,105 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int test_interpolate_linear_vector_3d(std::string mesh_file, int refinements,
-                                      int polynomial_order)
-{
-
-   constexpr int dim = 3;
-   constexpr int vdim = 3;
-   Mesh mesh_serial = Mesh(mesh_file);
-   MFEM_ASSERT(mesh_serial.Dimension() == dim, "wrong mesh dimension");
-
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-   mesh.SetCurvature(1);
-   mesh_serial.Clear();
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec, vdim);
-
-   const IntegrationRule &ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder() + 1);
-
-   QuadratureSpace qspace(mesh, ir);
-   QuadratureFunction qf(&qspace, vdim);
-
-   ParGridFunction f1_g(&h1fes);
-
-   auto kernel = [](const tensor<double, vdim> &u)
-   {
-      return mfem::tuple{u};
-   };
-
-   mfem::tuple argument_operators = {Value{"potential"}};
-   mfem::tuple output_operator = {None{"potential"}};
-
-   ElementOperator eop{kernel, argument_operators, output_operator};
-   auto ops = mfem::tuple{eop};
-
-   auto solutions = std::array{FieldDescriptor{&h1fes, "potential"}};
-   auto parameters = std::array{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-   auto f1 = [](const Vector &coords, Vector &u)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      const double z = coords(2);
-      u(0) = 2.345 + x + y + 3.0 * z;
-      u(1) = 12.345 + x + y + 2.0 * z;
-      u(2) = 5.345 + x + y + 1.0 * z;
-   };
-
-   VectorFunctionCoefficient f1_c(vdim, f1);
-   f1_g.ProjectCoefficient(f1_c);
-
-   Vector x(f1_g), y(f1_g.Size());
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(x, y);
-
-   Vector f_test(qf.Size());
-   for (int e = 0; e < mesh.GetNE(); e++)
-   {
-      ElementTransformation *T = mesh.GetElementTransformation(e);
-      for (int qp = 0; qp < ir.GetNPoints(); qp++)
-      {
-         const IntegrationPoint &ip = ir.IntPoint(qp);
-         T->SetIntPoint(&ip);
-
-         Vector f(vdim);
-         f1_g.GetVectorValue(*T, ip, f);
-         for (int d = 0; d < vdim; d++)
-         {
-            int qpo = qp * vdim;
-            int eo = e * (ir.GetNPoints() * vdim);
-            f_test(d + qpo + eo) = f(d);
-         }
-      }
-   }
-
-   Vector diff(f_test);
-   diff -= y;
-   if (diff.Norml2() > 1e-10)
-   {
-      print_vector(diff);
-      print_vector(f_test);
-      print_vector(y);
-      return 1;
-   }
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(test_interpolate_linear_vector_3d);

examples/dfem_test_mass_scalar_2d.cpp

@@ -1,113 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-#include "fem/bilininteg.hpp"
-#include "fem/normal_deriv_restriction.hpp"
-#include <fstream>
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int dfem_test_mass_scalar_2d(std::string mesh_file,
-                             int refinements,
-                             int polynomial_order)
-{
-   constexpr int dim = 2;
-   Mesh mesh_serial = Mesh(mesh_file);
-   MFEM_ASSERT(mesh_serial.Dimension() == dim, "wrong mesh dimension");
-
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   mesh_serial.Clear();
-
-   ParGridFunction *mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec);
-
-   const IntegrationRule &ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder() + 1);
-
-   // IntegrationRules gll_rules(0, Quadrature1D::GaussLobatto);
-   // const IntegrationRule &ir = gll_rules.Get(h1fes.GetFE(0)->GetGeomType(),
-   //                                           2 * polynomial_order - 1);
-
-   printf("#nqp = %d\n", ir.GetNPoints());
-   printf("#q1d = %d\n", (int)floor(pow(ir.GetNPoints(), 1.0/dim) + 0.5));
-
-   ParGridFunction f1_g(&h1fes);
-
-   auto kernel = [](const double& u,
-                    const tensor<double, dim> x,
-                    const tensor<double, dim, dim> J,
-                    const double& w)
-   {
-      out << x << ": " << u << "\n";
-      return mfem::tuple{u * w * det(J)};
-   };
-
-   mfem::tuple argument_operators = {Value{"potential"}, Value{"coordinates"}, Gradient{"coordinates"}, Weight{}};
-   mfem::tuple output_operator = {Value{"potential"}};
-
-   ElementOperator eop = {kernel, argument_operators, output_operator};
-   auto ops = mfem::tuple{eop};
-
-   auto solutions = std::array{FieldDescriptor{&h1fes, "potential"}};
-   auto parameters = std::array{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-   auto f1 = [](const Vector &coords)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      return 2.345 + x + x*y + 1.25 * x;
-   };
-
-   FunctionCoefficient f1_c(f1);
-   f1_g.ProjectCoefficient(f1_c);
-
-   Vector f1_g_e(f1_g.Size());
-   auto R = h1fes.GetElementRestriction(ElementDofOrdering::LEXICOGRAPHIC);
-   // R->Mult(f1_g, f1_g_e);
-   auto r_out = std::ofstream("r_mat.mtx");
-   R->PrintMatlab(r_out);
-   r_out.close();
-   print_vector(f1_g);
-   // print_vector(f1_g_e);
-
-   Vector x(*f1_g.GetTrueDofs()), y(h1fes.TrueVSize());
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(x, y);
-
-   ParBilinearForm a(&h1fes);
-   auto mass_integ = new MassIntegrator;
-   mass_integ->SetIntRule(&ir);
-   a.AddDomainIntegrator(mass_integ);
-   a.SetAssemblyLevel(AssemblyLevel::PARTIAL);
-   a.Assemble();
-   a.Finalize();
-
-   Vector y2(h1fes.TrueVSize());
-   a.Mult(x, y2);
-   y2.HostRead();
-
-   Vector diff(y2);
-   diff -= y;
-   if (diff.Norml2() > 1e-10)
-   {
-      print_vector(diff);
-      print_vector(y2);
-      print_vector(y);
-      return 1;
-   }
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(dfem_test_mass_scalar_2d);

examples/dfem_test_mass_scalar_3d.cpp

@@ -1,147 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-#include "fem/bilininteg.hpp"
-#include "fem/fe/fe_base.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int dfem_test_mass_scalar_3d(std::string mesh_file,
-                             int refinements,
-                             int polynomial_order)
-{
-   constexpr int dim = 3;
-   Mesh mesh_serial = Mesh(mesh_file);
-   MFEM_ASSERT(mesh_serial.Dimension() == dim, "wrong mesh dimension");
-
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(polynomial_order);
-   mesh_serial.Clear();
-
-   ParGridFunction *mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec);
-
-   const IntegrationRule& ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(),
-                   h1fes.GetFE(0)->GetOrder() + h1fes.GetFE(0)->GetOrder() + h1fes.GetFE(
-                      0)->GetDim() - 1);
-
-   // IntegrationRules gll_rules(0, Quadrature1D::GaussLobatto);
-   // const IntegrationRule &ir = gll_rules.Get(h1fes.GetFE(0)->GetGeomType(),
-   //                                           2 * polynomial_order - 1);
-
-   auto dtq = h1fes.GetFE(0)->GetDofToQuad(ir, DofToQuad::TENSOR);
-   // printf("\n B: ");
-   // dtq.B.Print(out, dtq.B.Size());
-   // printf("\n G: ");
-   // dtq.G.Print(out, dtq.G.Size());
-   // printf("\n w: ");
-   // ir.GetWeights().Print(out, ir.GetWeights().Size());
-
-   // printf("#ndof per el = %d\n", h1fes.GetFE(0)->GetDof());
-   // printf("#nqp = %d\n", ir.GetNPoints());
-   // printf("#q1d = %d\n", (int)floor(pow(ir.GetNPoints(), 1.0/dim) + 0.5));
-
-   // printf("nodes: ");
-   // print_vector(*mesh_nodes);
-
-   ParGridFunction f1_g(&h1fes);
-
-   auto kernel = [](const double &u,
-                    const tensor<double, dim, dim> &J,
-                    const double &w)
-   {
-      return mfem::tuple{u * det(J) * w};
-   };
-
-   mfem::tuple argument_operators = {Value{"potential"}, Gradient{"coordinates"}, Weight{}};
-   mfem::tuple output_operator = {Value{"potential"}};
-
-   ElementOperator eop = {kernel, argument_operators, output_operator};
-   auto ops = mfem::tuple{eop};
-
-   auto solutions = std::array{FieldDescriptor{&h1fes, "potential"}};
-   auto parameters = std::array{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-   auto f1 = [](const Vector &coords)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      const double z = coords(2);
-      return 2.345 + x + x*y + 1.25 * z*x;
-   };
-
-   FunctionCoefficient f1_c(f1);
-   f1_g.ProjectCoefficient(f1_c);
-   // printf("\nf1_g: ");
-   // print_vector(f1_g);
-
-   auto R = h1fes.GetElementRestriction(ElementDofOrdering::LEXICOGRAPHIC);
-   // Vector f1_g_e(R->Height());
-   // R->Mult(f1_g, f1_g_e);
-   // printf("\nf1_g_e: ");
-   // print_vector(f1_g_e);
-   // auto r_out = std::ofstream("r_mat.mtx");
-   // R->PrintMatlab(r_out);
-   // r_out.close();
-
-   Vector x(*f1_g.GetTrueDofs()), y(h1fes.TrueVSize());
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(x, y);
-
-   ParBilinearForm a(&h1fes);
-   auto mass_integ = new MassIntegrator;
-   mass_integ->SetIntRule(&ir);
-   a.AddDomainIntegrator(mass_integ);
-   a.SetAssemblyLevel(AssemblyLevel::PARTIAL);
-   a.Assemble();
-   a.Finalize();
-
-   Vector y2(h1fes.TrueVSize());
-   a.Mult(x, y2);
-   y2.HostRead();
-
-   Vector diff(y2);
-   diff -= y;
-   if (diff.Norml2() > 1e-15)
-   {
-      printf("y ");
-      print_vector(y);
-      printf("y2: ");
-      print_vector(y2);
-      printf("diff: ");
-      print_vector(diff);
-      return 1;
-   }
-
-   Vector y3(h1fes.TrueVSize());
-   auto dFdu = dop.GetDerivativeWrt<0>({&f1_g}, {mesh_nodes});
-
-   dFdu->Mult(x, y3);
-   diff = y2;
-   diff -= y;
-   if (diff.Norml2() > 1e-15)
-   {
-      printf("y2 ");
-      print_vector(y2);
-      printf("y3: ");
-      print_vector(y3);
-      printf("diff: ");
-      print_vector(diff);
-      return 1;
-   }
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(dfem_test_mass_scalar_3d);

examples/dfem_test_neo_hookean_elasticity_2d.cpp

@@ -1,114 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int test_neo_hookean_elasticity_2d(
-   std::string mesh_file, int refinements, int polynomial_order)
-{
-   Mesh mesh_serial = Mesh(mesh_file);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   const int dim = mesh.Dimension();
-   MFEM_ASSERT(dim == 2, "This test is for 2D meshes only");
-   mesh_serial.Clear();
-
-   out << "#el: " << mesh.GetNE() << "\n";
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction*>(mesh.GetNodes());
-   ParFiniteElementSpace& mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec, dim);
-
-   out << "#dofs " << h1fes.GetTrueVSize() << "\n";
-
-   const IntegrationRule& ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder());
-
-   out << "#qp: " << ir.GetNPoints() << "\n";
-
-   ParGridFunction u_g(&h1fes);
-
-   auto kernel = [] MFEM_HOST_DEVICE(const tensor<double, 2, 2>& J,
-                                     const double& w,
-                                     const tensor<double, 2, 2>& dudxi)
-   {
-      // Neo-Hookean parameters
-      const double lambda = 1.0;
-      const double mu = 0.5;
-
-      static constexpr auto I = mfem::internal::IsotropicIdentity<2>();
-      auto F = I + (dudxi * inv(J));
-      auto E = 0.5 * (transpose(F) * F - I);
-      auto invF = inv(F);
-
-      // 2D plane strain formulation
-      auto P = mu * (F - transpose(invF)) + lambda * log(det(F)) * transpose(invF);
-
-      return mfem::tuple{P * det(J) * w};
-   };
-
-   mfem::tuple argument_operators = {Gradient{"coordinates"}, Weight{},
-                                     Gradient{"displacement"}
-                                    };
-   mfem::tuple output_operator = {Gradient{"displacement"}};
-
-   ElementOperator eop = {kernel, argument_operators, output_operator};
-   auto ops = mfem::tuple{eop};
-
-   auto solutions = std::array{FieldDescriptor{&h1fes, "displacement"}};
-   auto parameters = std::array{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-   auto displacement = [](const Vector& coords, Vector &u)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      u(0) = 0.1 * x * y;
-      u(1) = 0.1 * y * x;
-   };
-
-   VectorFunctionCoefficient disp_coeff(2, displacement);
-   u_g.ProjectCoefficient(disp_coeff);
-
-   Vector x(u_g), y(h1fes.TrueVSize());
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(x, y);
-   y.HostRead();
-
-   // Test linearization
-   auto dFdu = dop.GetDerivativeWrt<0>({&u_g}, {mesh_nodes});
-   dFdu->Mult(x, y);
-
-   // Finite difference Jacobian test
-   {
-      double eps = 1.0e-6;
-      Vector v(x), xpv(x), xmv(x), fxpv(x.Size()), fxmv(x.Size());
-      v *= eps;
-      xpv += v;
-      xmv -= v;
-      dop.Mult(xpv, fxpv);
-      dop.Mult(xmv, fxmv);
-      fxpv -= fxmv;
-      fxpv /= (2.0*eps);
-
-      fxpv -= y;
-      if (fxpv.Norml2() > eps)
-      {
-         out << "||dFdu_FD u^* - ex||_l2 = " << fxpv.Norml2() << "\n";
-         return 1;
-      }
-   }
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(test_neo_hookean_elasticity_2d);

examples/dfem_test_nonlinear_diffusion_3d.cpp

@@ -1,169 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int test_nonlinear_diffusion(
-   std::string mesh_file, int refinements, int polynomial_order)
-{
-   constexpr int dim = 3;
-
-   Mesh mesh_serial = Mesh(mesh_file);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   mesh_serial.Clear();
-
-   out << "#el: " << mesh.GetNE() << "\n";
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction*>(mesh.GetNodes());
-   ParFiniteElementSpace& mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec);
-
-   out << "#dofs " << h1fes.GetTrueVSize() << "\n";
-
-   const IntegrationRule& ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(),
-                   h1fes.GetFE(0)->GetOrder() + h1fes.GetFE(0)->GetOrder() + h1fes.GetFE(
-                      0)->GetDim() - 1);
-
-   out << "#qp: " << ir.GetNPoints() << "\n";
-
-   ParGridFunction f1_g(&h1fes);
-
-   bool inactive_derivative = false;
-
-   auto kernel = [] MFEM_HOST_DEVICE(
-                    const tensor<double, dim, dim>& J,
-                    const double& w,
-                    const tensor<double, dim>& dudxi,
-                    const double& u)
-   {
-      auto invJ = inv(J);
-      return mfem::tuple{(u * u) * dudxi * invJ * transpose(invJ) * det(J) * w};
-   };
-
-   mfem::tuple argument_operators =
-   {
-      Gradient{"coordinates"},
-      Weight{},
-      Gradient{"potential"},
-      Value{"potential"}
-   };
-
-   mfem::tuple output_operator =
-   {
-      Gradient{"potential"}
-   };
-
-   ElementOperator eop = {kernel, argument_operators, output_operator};
-   auto ops = mfem::tuple{eop};
-
-   auto solutions = std::array
-   {
-      FieldDescriptor{&h1fes, "potential"}
-   };
-   auto parameters = std::array
-   {
-      FieldDescriptor{&mesh_fes, "coordinates"}
-   };
-
-   DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-   auto f1 = [](const Vector& coords)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      const double z = coords(2);
-      return 2.345 + 0.25 * x * x * y + y * y * x + z;
-   };
-
-   FunctionCoefficient f1_c(f1);
-   f1_g.ProjectCoefficient(f1_c);
-
-   Vector x(f1_g), y(h1fes.TrueVSize());
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(x, y);
-   y.HostRead();
-
-   ParBilinearForm a(&h1fes);
-   GridFunctionCoefficient f1gc(&f1_g);
-   TransformedCoefficient tf_c(&f1gc, [](double f) { return f * f; });
-   a.AddDomainIntegrator(new DiffusionIntegrator(tf_c));
-   a.SetAssemblyLevel(AssemblyLevel::PARTIAL);
-   a.Assemble();
-   a.Finalize();
-
-   Vector y2(h1fes.TrueVSize()), diff(h1fes.TrueVSize());
-   a.Mult(x, y2);
-   y2.HostRead();
-   diff = y2;
-   diff -= y;
-   if (diff.Norml2() > 1e-10)
-   {
-      out << "||F(u) - ex||_l2 = " << diff.Norml2() << "\n";
-      print_vector(diff);
-      print_vector(y);
-      print_vector(y2);
-      return 1;
-   }
-
-   // Test linearization here as well
-   auto dFdu = dop.GetDerivativeWrt<0>({&f1_g}, {mesh_nodes});
-   dFdu->Mult(x, y);
-
-   // fd jacobian test
-   {
-      double eps = 1.0e-6;
-      Vector v(x), xpv(x), xmv(x), fxpv(x.Size()), fxmv(x.Size());
-      v *= eps;
-      xpv += v;
-      xmv -= v;
-      dop.Mult(xpv, fxpv);
-      dop.Mult(xmv, fxmv);
-      fxpv -= fxmv;
-      fxpv /= (2.0*eps);
-
-      fxpv -= y;
-      if (fxpv.Norml2() > eps)
-      {
-         out << "||dFdu_FD u^* - ex||_l2 = " << fxpv.Norml2() << "\n";
-         return 1;
-      }
-   }
-
-   // ParBilinearForm da(&h1fes);
-   // TransformedCoefficient dtf_c(&f1gc, [](double f) { return 2.0 * f; });
-   // da.AddDomainIntegrator(new DiffusionIntegrator(dtf_c));
-   // da.SetAssemblyLevel(AssemblyLevel::PARTIAL);
-   // da.Assemble();
-   // da.Finalize();
-
-   // if (dFdu->Height() != h1fes.GetTrueVSize())
-   // {
-   //    out << "dFdu unexpected height of " << dFdu->Height() << "\n";
-   //    return 1;
-   // }
-
-   // dFdu->Mult(x, y);
-   // print_vector(y);
-   // da.Mult(x, y2);
-   // print_vector(y2);
-   // y2 -= y;
-   // out << "||dFdu x - A x||_l2 = " << y2.Norml2() << "\n";
-   // if (y2.Norml2() > 1e-10)
-   // {
-   //    out << "||dFdu u^* - ex||_l2 = " << y2.Norml2() << "\n";
-   // }
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(test_nonlinear_diffusion);

examples/dfem_test_nonlinear_elasticity_3d.cpp

@@ -1,268 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-#include "fem/pfespace.hpp"
-#include "linalg/hypre.hpp"
-#include "linalg/operator.hpp"
-#include "linalg/solvers.hpp"
-#include <fstream>
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-class FDJacobian : public Operator
-{
-public:
-   FDJacobian(const Operator &op, const Vector &x) :
-      Operator(op.Height()),
-      op(op),
-      x(x)
-   {
-      f.SetSize(Height());
-      xpev.SetSize(Height());
-      op.Mult(x, f);
-      xnorm = x.Norml2();
-   }
-
-   void Mult(const Vector &v, Vector &y) const override
-   {
-      x.HostRead();
-
-      // See [1] for choice of eps.
-      //
-      // [1] Woodward, C.S., Gardner, D.J. and Evans, K.J., 2015. On the use of
-      // finite difference matrix-vector products in Newton-Krylov solvers for
-      // implicit climate dynamics with spectral elements. Procedia Computer
-      // Science, 51, pp.2036-2045.
-      real_t eps = lambda * (lambda + xnorm / v.Norml2());
-
-      for (int i = 0; i < x.Size(); i++)
-      {
-         xpev(i) = x(i) + eps * v(i);
-      }
-
-      // y = f(x + eps * v)
-      op.Mult(xpev, y);
-
-      // y = (f(x + eps * v) - f(x)) / eps
-      for (int i = 0; i < x.Size(); i++)
-      {
-         y(i) = (y(i) - f(i)) / eps;
-      }
-   }
-
-   virtual MemoryClass GetMemoryClass() const override
-   {
-      return Device::GetDeviceMemoryClass();
-   }
-
-private:
-   const Operator &op;
-   Vector x, f;
-   mutable Vector xpev;
-   real_t lambda = 1.0e-6;
-   real_t xnorm;
-};
-
-template <typename elasticity_t>
-class ElasticityOperator : public Operator
-{
-   template <typename elasticity_du_t>
-   class ElasticityJacobianOperator : public Operator
-   {
-   public:
-      ElasticityJacobianOperator(const ElasticityOperator *elasticity,
-                                 std::shared_ptr<elasticity_du_t> dRdu) :
-         Operator(elasticity->Height()),
-         elasticity(elasticity),
-         dRdu(dRdu),
-         x_ess(dRdu->Height())
-      {
-      }
-
-      void Mult(const Vector &x, Vector &y) const override
-      {
-         x_ess = x;
-         x_ess.SetSubVector(elasticity->ess_tdofs, 0.0);
-
-         dRdu->Mult(x_ess, y);
-
-         for (int i = 0; i < elasticity->ess_tdofs.Size(); i++)
-         {
-            y[elasticity->ess_tdofs[i]] = x[elasticity->ess_tdofs[i]];
-         }
-      }
-
-      const ElasticityOperator *elasticity = nullptr;
-      std::shared_ptr<elasticity_du_t> dRdu;
-      mutable Vector x_ess;
-   };
-
-public:
-   ElasticityOperator(ParFiniteElementSpace &fes, elasticity_t &elasticity,
-                      Array<int> &ess_tdofs) :
-      Operator(fes.GetTrueVSize()),
-      fes(fes),
-      elasticity(elasticity),
-      ess_tdofs(ess_tdofs) {}
-
-   void Mult(const Vector &x, Vector &r) const override
-   {
-      elasticity.Mult(x, r);
-      r.SetSubVector(ess_tdofs, 0.0);
-   }
-
-   Operator &GetGradient(const Vector &x) const override
-   {
-      ParGridFunction u(const_cast<ParFiniteElementSpace *>
-                        (*std::get_if<const ParFiniteElementSpace *>
-                         (&elasticity.solutions[0].data)));
-
-      u.SetFromTrueDofs(x);
-      auto dRdu = elasticity.template GetDerivativeWrt<0>({&u}, {mesh_nodes});
-
-      jacobian.reset(
-         new ElasticityJacobianOperator<
-         typename std::remove_pointer<decltype(dRdu.get())>::type> (this, dRdu));
-
-      // jacobian.reset(new FDJacobian(*this, x));
-
-      return *jacobian;
-   }
-
-   void SetParameters(ParGridFunction &mesh_nodes)
-   {
-      elasticity.SetParameters({&mesh_nodes});
-      this->mesh_nodes = &mesh_nodes;
-   }
-
-   ParFiniteElementSpace &fes;
-   elasticity_t &elasticity;
-   Array<int> ess_tdofs;
-   mutable ParGridFunction *mesh_nodes = nullptr;
-   mutable std::shared_ptr<Operator> jacobian;
-};
-
-int test_nonlinear_elasticity_3d(std::string mesh_file,
-                                 int refinements,
-                                 int polynomial_order)
-{
-   constexpr int dim = 3;
-   constexpr int vdim = dim;
-
-   Mesh mesh_serial = Mesh(mesh_file);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(polynomial_order);
-   mesh_serial.Clear();
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec, vdim);
-
-   Array<int> ess_tdof_list, ess_bdr(mesh.bdr_attributes.Max());
-   ess_bdr = 0;
-   ess_bdr[0] = 1;
-   h1fes.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
-
-   const IntegrationRule& ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(),
-                   h1fes.GetFE(0)->GetOrder() + h1fes.GetFE(0)->GetOrder() + h1fes.GetFE(
-                      0)->GetDim() - 1);
-
-   out << "#qp: " << ir.GetNPoints() << "\n";
-   out << "#dof: " << h1fes.GetNDofs() << "\n";
-
-   ParGridFunction u(&h1fes);
-
-   auto elasticity_kernel = [] MFEM_HOST_DEVICE
-                            (const tensor<real_t, dim, dim> &dudxi,
-                             const tensor<real_t, dim, dim> &J,
-                             const double &w)
-   {
-      // shear modulus
-      mfem::real_t D1 = 0.1e6;
-      // bulk modulus
-      mfem::real_t C1 = 1.0e6;
-      constexpr auto I = mfem::internal::IsotropicIdentity<dim>();
-      auto invJ = inv(J);
-      auto dudx = dudxi * invJ;
-      real_t F = det(I + dudx);
-      real_t p = -2.0 * D1 * F * (F - 1);
-      auto devB = dev(dudx + transpose(dudx) + dot(dudx, transpose(dudx)));
-      auto sigma = -(p / F) * I + 2.0 * (C1 / pow(F, 5.0 / 3.0)) * devB;
-
-      return mfem::tuple{sigma * det(J) * w * transpose(invJ)};
-   };
-
-   mfem::tuple argument_operators{Gradient{"displacement"}, Gradient{"coordinates"}, Weight{}};
-   mfem::tuple output_operator{Gradient{"displacement"}};
-
-   ElementOperator op{elasticity_kernel, argument_operators, output_operator};
-
-   std::array solutions{FieldDescriptor{&h1fes, "displacement"}};
-   std::array parameters{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop{solutions, parameters, mfem::tuple{op}, mesh, ir};
-
-   ElasticityOperator elasticity(h1fes, dop, ess_tdof_list);
-
-   VectorArrayCoefficient f(dim);
-   for (int i = 0; i < dim-1; i++)
-   {
-      f.Set(i, new ConstantCoefficient(0.0));
-   }
-   {
-      Vector pull_force(mesh.bdr_attributes.Max());
-      pull_force = 0.0;
-      pull_force(1) = -1.0e-2;
-      f.Set(dim-1, new PWConstCoefficient(pull_force));
-   }
-
-   ParLinearForm b(&h1fes);
-   b.AddBoundaryIntegrator(new VectorBoundaryLFIntegrator(f));
-   b.UseFastAssembly(true);
-   b.Assemble();
-   auto B = b.ParallelAssemble();
-
-   Vector X = u.GetTrueVector();
-
-   CGSolver cg(MPI_COMM_WORLD);
-   cg.SetRelTol(1e-8);
-   cg.SetMaxIter(1000);
-   cg.SetPrintLevel(IterativeSolver::PrintLevel().Summary());
-
-   NewtonSolver newton(MPI_COMM_WORLD);
-   newton.SetSolver(cg);
-   newton.SetOperator(elasticity);
-   newton.SetRelTol(1e-6);
-   newton.SetMaxIter(100);
-   newton.SetAdaptiveLinRtol();
-   newton.SetPrintLevel(IterativeSolver::PrintLevel().Iterations());
-
-   elasticity.SetParameters(*mesh_nodes);
-
-   // Vector zero;
-   newton.Mult(*B, X);
-
-   u.SetFromTrueDofs(X);
-
-   ParaViewDataCollection paraview_dc("dfem", &mesh);
-   paraview_dc.SetPrefixPath("ParaView");
-   paraview_dc.SetLevelsOfDetail(polynomial_order);
-   paraview_dc.SetDataFormat(VTKFormat::BINARY);
-   paraview_dc.SetHighOrderOutput(true);
-   paraview_dc.SetCycle(0);
-   paraview_dc.SetTime(0.0);
-   paraview_dc.RegisterField("displacement", &u);
-   paraview_dc.Save();
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(test_nonlinear_elasticity_3d);

examples/dfem_test_ordering.cpp

@@ -1,82 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-#include "fem/coefficient.hpp"
-#include "fem/pgridfunc.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int test_ordering(std::string mesh_file,
-                  int refinements,
-                  int polynomial_order)
-{
-   constexpr int dim = 2;
-   constexpr int vdim = dim;
-
-   Mesh mesh_serial = Mesh(mesh_file);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(polynomial_order);
-   mesh_serial.Clear();
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   const IntegrationRule &ir =
-      IntRules.Get(mesh_fes.GetFE(0)->GetGeomType(),
-                   2 * mesh_fes.FEColl()->GetOrder() - 1);
-
-   for (int q = 0; q < ir.GetNPoints(); q++)
-   {
-      out << "(" << ir.IntPoint(q).x << ", " << ir.IntPoint(q).y << ")\n";
-   }
-
-   ParGridFunction u(&mesh_fes);
-   auto f = [](const Vector &coords, Vector &u)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      u(0) = x*x*y + 1.0;
-      u(1) = y*y*x*x + 2.0;
-   };
-
-   VectorFunctionCoefficient uc(dim, f);
-   u.ProjectCoefficient(uc);
-
-   auto kernel = [](const tensor<double, dim> &xi,
-                    const tensor<double, vdim, dim> &J,
-                    const tensor<double, dim> &u,
-                    const tensor<double, vdim, dim> &dudxi)
-   {
-      out << "xi: " << xi << "\n";
-      out << "J: " << J << "\n";
-      out << "u: " << u << "\n";
-      out << "dudxi: " << dudxi << "\n\n";
-      return mfem::tuple{J};
-   };
-
-   mfem::tuple argument_operators{Value{"coordinates"}, Gradient{"coordinates"}, Value{"potential"}, Gradient{"potential"}};
-   mfem::tuple output_operator{Gradient{"potential"}};
-
-   ElementOperator op{kernel, argument_operators, output_operator};
-
-   std::array solutions{FieldDescriptor{&mesh_fes, "potential"}};
-   std::array parameters{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop{solutions, parameters, mfem::tuple{op}, mesh, ir};
-
-   Vector y(u);
-
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(u, y);
-
-   print_vector(y);
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(test_ordering);

examples/dfem_test_vector_diffusion.cpp

@@ -1,102 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-
-int test_vector_diffusion(std::string mesh_file,
-                          int refinements,
-                          int polynomial_order)
-{
-   Mesh mesh_serial = Mesh(mesh_file);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   const int dim = mesh.Dimension();
-   const int vdim = dim;
-   mesh_serial.Clear();
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec, vdim);
-
-   Array<int> ess_bdr(mesh.bdr_attributes.Max());
-   Array<int> ess_tdof;
-   ess_bdr = 1;
-   h1fes.GetEssentialTrueDofs(ess_bdr, ess_tdof);
-
-   const IntegrationRule &ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder() - 1);
-
-   ParGridFunction u(&h1fes);
-
-   auto f1 = [](const Vector& coords, Vector &u)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      u(0) = 2.345 + 0.25 * x * x * y + y * y * x;
-      u(1) = 2.345 - 0.25 * x * y * y + y * x * x;
-   };
-
-   VectorFunctionCoefficient u_c(dim, f1);
-   u.ProjectCoefficient(u_c);
-
-   auto vector_diffusion_kernel = [](const tensor<double, 2> &xi,
-                                     const tensor<double, 2, 2> &dudxi,
-                                     const tensor<double, 2, 2> &J,
-                                     const double &w)
-   {
-      out << "xi: " << xi << "\n";
-      out << "dudxi: " << dudxi << "\n";
-      return mfem::tuple{dudxi * inv(J) * det(J) * w * transpose(inv(J))};
-      // return mfem::tuple{dudxi};
-   };
-
-   mfem::tuple argument_operators{Value{"coordinates"}, Gradient{"potential"}, Gradient{"coordinates"}, Weight{}};
-   mfem::tuple output_operator{Gradient{"potential"}};
-
-   ElementOperator op{vector_diffusion_kernel, argument_operators, output_operator};
-
-   std::array solutions{FieldDescriptor{&h1fes, "potential"}};
-   std::array parameters{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop{solutions, parameters, mfem::tuple{op}, mesh, ir};
-
-   Vector x(u), y1(h1fes.GetTrueVSize()),
-          y2(h1fes.GetTrueVSize());
-
-   ParBilinearForm A_form(&h1fes);
-   auto A_integ = new VectorDiffusionIntegrator(vdim);
-   A_integ->SetIntegrationRule(ir);
-   A_form.AddDomainIntegrator(A_integ);
-   A_form.Assemble();
-   A_form.Finalize();
-
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(x, y1);
-   y1.HostRead();
-
-   A_form.Mult(x, y2);
-   y2.HostRead();
-
-   Vector diff(y2);
-   diff -= y1;
-   if (diff.Norml2() > 1e-10)
-   {
-      out << "||F(u) - ex||_l2 = " << diff.Norml2() << "\n";
-      print_vector(diff);
-      print_vector(y1);
-      print_vector(y2);
-      return 1;
-   }
-
-   return 0;
-}
-
-DFEM_TEST_MAIN(test_vector_diffusion);

examples/enzyme_interface_smoketest.cpp

@@ -1,122 +0,0 @@
-#include <tuple>
-#include <type_traits>
-#include <iostream>
-#include <enzyme/enzyme>
-
-template <typename T>
-constexpr auto get_type_name() -> std::string_view
-{
-#if defined(__clang__)
-   constexpr auto prefix = std::string_view {"[T = "};
-   constexpr auto suffix = "]";
-   constexpr auto function = std::string_view{__PRETTY_FUNCTION__};
-#elif defined(__GNUC__)
-   constexpr auto prefix = std::string_view {"with T = "};
-   constexpr auto suffix = "; ";
-   constexpr auto function = std::string_view{__PRETTY_FUNCTION__};
-#elif defined(_MSC_VER)
-   constexpr auto prefix = std::string_view {"get_type_name<"};
-   constexpr auto suffix = ">(void)";
-   constexpr auto function = std::string_view{__FUNCSIG__};
-#else
-#error Unsupported compiler
-#endif
-
-   const auto start = function.find(prefix) + prefix.size();
-   const auto end = function.find(suffix);
-   const auto size = end - start;
-
-   return function.substr(start, size);
-}
-
-template <typename ... Ts>
-constexpr auto decay_types(std::tuple<Ts...> const &)
--> std::tuple<std::remove_cv_t<std::remove_reference_t<Ts>>...>;
-
-template <typename T>
-using decay_tuple = decltype(decay_types(std::declval<T>()));
-
-template <class F> struct FunctionSignature;
-
-template <typename output_t, typename... input_ts>
-struct FunctionSignature<output_t(input_ts...)>
-{
-   using return_t = output_t;
-   using parameter_ts = std::tuple<input_ts...>;
-};
-
-template <class T> struct create_function_signature;
-
-template <typename output_t, typename T, typename... input_ts>
-struct create_function_signature<output_t (T::*)(input_ts...) const>
-{
-   using type = FunctionSignature<output_t(input_ts...)>;
-};
-
-template <typename arg_ts, std::size_t... Is>
-auto create_enzyme_args(arg_ts &args,
-                        arg_ts &shadow_args,
-                        std::index_sequence<Is...>)
-{
-   // (std::cout << ... << std::get<Is>(shadow_args));
-   return std::tuple<enzyme::Duplicated<decltype(std::get<Is>(args))>...>
-   {
-      { std::get<Is>(args), std::get<Is>(shadow_args) }...
-   };
-}
-
-template <typename kernel_t, typename arg_ts>
-auto fwddiff_apply_enzyme(kernel_t kernel, arg_ts &&args, arg_ts &&shadow_args)
-{
-   auto arg_indices =
-      std::make_index_sequence<std::tuple_size_v<std::remove_reference_t<arg_ts>>> {};
-
-   auto enzyme_args = create_enzyme_args(args, shadow_args, arg_indices);
-
-   // using kf_return_t = typename create_function_signature<
-   //                     decltype(&kernel_t::operator())>::type::return_t;
-
-   std::cout << "\n";
-   std::cout << "args is " << get_type_name<decltype(args)>() << "\n\n";
-   std::cout << "enzyme_args type is " << get_type_name<decltype(enzyme_args)>() <<
-             "\n\n";
-   // std::cout << "return type is " << get_type_name<decltype(kf_return_t{})>() <<
-   //           "\n\n";
-
-   std::cout << "args " << std::get<0>(args) << "\n";
-   std::cout << "shadow args " << std::get<0>(shadow_args) << "\n";
-
-   return std::apply([&](auto &&...args)
-   {
-      // std::cout << enzyme::autodiff<enzyme::Forward>(+kernel, args...) << "\n";
-      return enzyme::get<0>
-             (enzyme::autodiff<enzyme::Forward>(+kernel, args...));
-   },
-   enzyme_args);
-}
-
-int main()
-{
-
-   auto func = [](const double &x, double &y)
-   {
-      std::cout << "func( x = " << x << " )\n";
-      return x*x;
-   };
-
-   using kf_param_ts = typename create_function_signature<
-                       decltype(&decltype(func)::operator())>::type::parameter_ts;
-   using kf_output_t = typename create_function_signature<
-                       decltype(&decltype(func)::operator())>::type::return_t;
-   auto kernel_args = decay_tuple<kf_param_ts> {};
-   auto kernel_shadow_args = decay_tuple<kf_param_ts> {};
-
-   std::get<0>(kernel_args) = 3;
-   std::get<0>(kernel_shadow_args) = 1;
-
-   auto dx = fwddiff_apply_enzyme(func, kernel_args, kernel_shadow_args);
-
-   std::cout << "dfdx = " << dx << "\n";
-
-   return 0;
-}

examples/ex40.cpp

@@ -67,8 +67,6 @@ public:
    ZCoefficient(int vdim, GridFunction &psi_, real_t alpha_ = 1.0)
       : VectorCoefficient(vdim), psi(&psi_), alpha(alpha_) { }
 
-   using VectorCoefficient::Eval;
-
    virtual void Eval(Vector &V, ElementTransformation &T,
                      const IntegrationPoint &ip);
    void SetAlpha(real_t alpha_) { alpha = alpha_; }

examples/ex40p.cpp

@@ -67,8 +67,6 @@ public:
    ZCoefficient(int vdim, ParGridFunction &psi_, real_t alpha_ = 1.0)
       : VectorCoefficient(vdim), psi(&psi_), alpha(alpha_) { }
 
-   using VectorCoefficient::Eval;
-
    virtual void Eval(Vector &V, ElementTransformation &T,
                      const IntegrationPoint &ip);
    void SetAlpha(real_t alpha_) { alpha = alpha_; }

examples/ginkgo/makefile

@@ -12,10 +12,11 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
-MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/ginkgo/,)
-CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
-   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
+CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
+# Use the MFEM install directory
+# MFEM_INSTALL_DIR = ../../mfem
+# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/hiop/ex9p.cpp

@@ -96,7 +96,6 @@ public:
    {
       Vector w_glob(width);
       pfes.Dof_TrueDof_Matrix()->MultTranspose(w, w_glob);
-      w_glob.HostReadWrite(); // read+write -> can use w_glob(i) (non-const)
       for (int i = 0; i < width; i++) { grad(0, i) = w_glob(i); }
    }
 

examples/hiop/makefile

@@ -12,10 +12,11 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
-MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/hiop/,)
-CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
-   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
+CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
+# Use the MFEM install directory
+# MFEM_INSTALL_DIR = ../../mfem
+# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/makefile

@@ -12,10 +12,11 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ..
 MFEM_BUILD_DIR ?= ..
-MFEM_INSTALL_DIR ?= ../mfem
 SRC = $(if $(MFEM_DIR:..=),$(MFEM_DIR)/examples/,)
-CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
-   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
+CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
+# Use the MFEM install directory
+# MFEM_INSTALL_DIR = ../mfem
+# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/moonolith/makefile

@@ -12,10 +12,11 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
-MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/moonolith/,)
-CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
-   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
+CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
+# Use the MFEM install directory
+# MFEM_INSTALL_DIR = ../../mfem
+# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/petsc/makefile

@@ -12,10 +12,11 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
-MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/petsc/,)
-CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
-   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
+CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
+# Use the MFEM install directory
+# MFEM_INSTALL_DIR = ../../mfem
+# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/pumi/makefile

@@ -12,10 +12,11 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
-MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/pumi/,)
-CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
-   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
+CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
+# Use the MFEM install directory
+# MFEM_INSTALL_DIR = ../../mfem
+# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/sundials/CMakeLists.txt

@@ -31,21 +31,11 @@ include_directories(BEFORE ${PROJECT_BINARY_DIR})
 add_custom_target(test_sundials
   ${CMAKE_CTEST_COMMAND} -R sundials USES_TERMINAL)
 
-# Add one executable per cpp file, adding "sundials_" as prefix so the CMake
-# target is unique from those in the non-SUNDIALS examples. Also sets
-# "test_sundials" as a target that depends on the given SUNDIALS examples.
+# Add one executable per cpp file, adding "sundials_" as prefix. Sets
+# "test_sundials" as a target that depends on the given examples.
 set(PFX sundials_)
 add_mfem_examples(SUNDIALS_EXAMPLES_SRCS ${PFX} "" test_sundials)
 
-# Remove "sundials_" prefix from exectuable name for consistency with GNU build
-# system.
-foreach(SRC_FILE ${SUNDIALS_EXAMPLES_SRCS})
-  get_filename_component(SRC_FILENAME ${SRC_FILE} NAME)
-  string(REPLACE ".cpp" "" TARGET_NAME "${PFX}${SRC_FILENAME}")
-  string(REPLACE ${PFX} "" EXE_NAME ${TARGET_NAME})
-  set_target_properties(${TARGET_NAME} PROPERTIES OUTPUT_NAME ${EXE_NAME})
-endforeach()
-
 # Testing.
 # The SUNDIALS tests can be run separately using the target "test_sundials"
 # which builds the examples and runs:
@@ -61,10 +51,7 @@ if (MFEM_ENABLE_TESTING)
   set(EX10_COMMON_OPTS -m ../../data/beam-quad.mesh -o 2 -s 5 -dt 0.15 -tf 6 -vs 10)
   set(EX10_TEST_OPTS ${EX10_COMMON_OPTS}  -r  2)
   set(EX10P_TEST_OPTS ${EX10_COMMON_OPTS} -rp 1)
-  # Example 16: test ARKODE with implicit time stepping using mass form
-  set(EX16_COMMON_OPTS -s 15)
-  set(EX16_TEST_OPTS ${EX16_COMMON_OPTS})
-  set(EX16P_TEST_OPTS ${EX16_COMMON_OPTS})
+  # Example 16: use the default options
 
   # Add the tests: one test per source file.
   foreach(SRC_FILE ${SUNDIALS_EXAMPLES_SRCS})

examples/sundials/ex10.cpp

@@ -1,9 +1,7 @@
 //                                MFEM Example 10
 //                             SUNDIALS Modification
 //
-// Compile with:
-//    make ex10             (GNU make)
-//    make sundials_ex10    (CMake)
+// Compile with: make ex10
 //
 // Sample runs:
 //    ex10 -m ../../data/beam-quad.mesh -r 2 -o 2 -s 12 -dt 0.15 -vs 10

examples/sundials/ex10p.cpp

@@ -1,9 +1,7 @@
 //                       MFEM Example 10 - Parallel Version
 //                             SUNDIALS Modification
 //
-// Compile with:
-//    make ex10p            (GNU make)
-//    make sundials_ex10p   (CMake)
+// Compile with: make ex10p
 //
 // Sample runs:
 //    mpirun -np 4 ex10p -m ../../data/beam-quad.mesh -rp 1 -o 2 -s 12 -dt 0.15 -vs 10

examples/sundials/ex16.cpp

@@ -1,21 +1,15 @@
 //                                MFEM Example 16
 //                             SUNDIALS Modification
 //
-// Compile with:
-//    make ex16             (GNU make)
-//    make sundials_ex16    (CMake)
+// Compile with: make ex16
 //
 // Sample runs:  ex16
 //               ex16 -m ../../data/inline-tri.mesh
 //               ex16 -m ../../data/disc-nurbs.mesh -tf 2
 //               ex16 -s 12 -a 0.0 -k 1.0
-//               ex16 -s 15 -a 0.0 -k 1.0
 //               ex16 -s 8 -a 1.0 -k 0.0 -dt 1e-4 -tf 5e-2 -vs 25
-//               ex16 -s 11 -a 1.0 -k 0.0 -dt 1e-4 -tf 5e-2 -vs 25
 //               ex16 -s 9 -a 0.5 -k 0.5 -o 4 -dt 1e-4 -tf 2e-2 -vs 25
-//               ex16 -s 12 -a 0.5 -k 0.5 -o 4 -dt 1e-4 -tf 2e-2 -vs 25
 //               ex16 -s 10 -dt 1.0e-4 -tf 4.0e-2 -vs 40
-//               ex16 -s 13 -dt 1.0e-4 -tf 4.0e-2 -vs 40
 //               ex16 -m ../../data/fichera-q2.mesh
 //               ex16 -m ../../data/escher.mesh
 //               ex16 -m ../../data/beam-tet.mesh -tf 10 -dt 0.1
@@ -43,102 +37,75 @@
 using namespace std;
 using namespace mfem;
 
-/** After spatial discretization, the conduction model is expressed as
+/** After spatial discretization, the conduction model can be written as:
  *
- *   M du/dt = - K(u) u
+ *     du/dt = M^{-1}(-Ku)
  *
  *  where u is the vector representing the temperature, M is the mass matrix,
- *  and K(u) is the diffusion operator with diffusivity depending on u:
+ *  and K is the diffusion operator with diffusivity depending on u:
  *  (\kappa + \alpha u).
  *
- *  Class ConductionOperatorOperator represents the above ODE operator in the
- *  general form F(u, k, t) = G(u, t) where
- *
- *    1. F(u, du/dt, t) = du/dt            (ODE is expressed in EXPLICIT form)
- *       G(u, t) = - inv(M) K(u) u
- *    2. F(u, du/dt, t) = M du/dt          (ODE is expressed in IMPLICIT form)
- *       G(u, t) = - K(u) u
+ *  Class ConductionOperator represents the right-hand side of the above ODE.
  */
 class ConductionOperator : public TimeDependentOperator
 {
+protected:
    FiniteElementSpace &fespace;
    Array<int> ess_tdof_list; // this list remains empty for pure Neumann b.c.
 
-   BilinearForm M;
-   SparseMatrix Mmat;
+   BilinearForm *M;
+   BilinearForm *K;
 
-   const real_t alpha, kappa;
-   std::unique_ptr<BilinearForm> K;
-   SparseMatrix Kmat;
-
-   std::unique_ptr<SparseMatrix> T; // T = M + gam K(u)
+   SparseMatrix Mmat, Kmat;
+   SparseMatrix *T; // T = M + dt K
 
    CGSolver M_solver; // Krylov solver for inverting the mass matrix M
    DSmoother M_prec;  // Preconditioner for the mass matrix M
 
-   CGSolver T_solver; // Implicit solver for T = M + gam K(u)
+   CGSolver T_solver; // Implicit solver for T = M + dt K
    DSmoother T_prec;  // Preconditioner for the implicit solver
 
+   double alpha, kappa;
+
    mutable Vector z; // auxiliary vector
 
 public:
+   ConductionOperator(FiniteElementSpace &f, double alpha, double kappa,
+                      const Vector &u);
 
-   ConductionOperator(FiniteElementSpace &f, const real_t alpha,
-                      const real_t kappa, const Vector &u,
-                      const Type &ode_expression_type);
+   virtual void Mult(const Vector &u, Vector &du_dt) const;
 
-   // Compute K(u_n) for use as an approximation in - K(u) u
-   void SetConductionTensor(const Vector &u);
+   /** Solve the Backward-Euler equation: k = f(u + dt*k, t), for the unknown k.
+       This is the only requirement for high-order SDIRK implicit integration.*/
+   virtual void ImplicitSolve(const double dt, const Vector &u, Vector &k);
 
-   /** Compute G(u, t) as defined in the IMPLICIT expression form of the ODE
-    operator, i.e., @a v = - K(u_n) @a u. Note that K(u_n) is an
-      approximation to K(u). */
-   void ExplicitMult(const Vector &u, Vector &v) const override;
+   /// Custom Jacobian system solver for the SUNDIALS time integrators.
+   /** For the ODE system represented by ConductionOperator
 
-   /** Solve for k in F(u, k, t) = G(u, t) for either EXPLICIT or IMPLICIT
-       expression forms of the ODE operator, i.e., @a k = - inv(M) K(u_n) @a u.
-       Note that K(u_n) is an approximation to K(u). */
-   void Mult(const Vector &u, Vector &k) const override;
+           M du/dt = -K(u),
 
-   /** Solve for k in F(u + gam*k, k, t) = G(u + gam*k, t) for either EXPLICIT
-       or IMPLICIT expression forms of the ODE operator, i.e.,
-       [ M + @a gam K(u_n) ] @a k = - K(u_n) @a u . Note that K(u_n) is an
-       approximation to K(u). */
-   void ImplicitSolve(const real_t gam, const Vector &u, Vector &k) override;
+       this class facilitates the solution of linear systems of the form
 
-   /** Setup to solve for dk in [dF/dk + gam*dF/du - gam*dG/du] dk = G - F for
-       either EXPLICIT or IMPLICIT expression forms of the ODE operator, i.e.,
-       [M - @a gam Jf(u)] dk = G - F, where Jf(u) is an approximation of the
-       Jacobian of -K(u) u. The approximation chosen here is Jf(u) = -K(u_n). */
-   int SUNImplicitSetup(const Vector &u, const Vector &fu, int jok, int *jcur,
-                        real_t gam) override;
+           (M + γK) y = M b,
 
-   /** Solve for @a dk in the system in SUNImplicitSetup to the given tolerance,
-       with the residual @a r providing either
-        1. @a r = G - F = inv(M) f(u) - k       (EXPLICIT expression form)
-        1. @a r = G - F = f(u) - M k            (IMPLICIT expression form)
-       */
-   int SUNImplicitSolve(const Vector &r, Vector &dk, real_t tol) override;
+       for given b, u (not used), and γ = GetTimeStep(). */
 
-   int SUNMassSetup() override;
+   /** Setup the system (M + dt K) x = M b. This method is used by the implicit
+       SUNDIALS solvers. */
+   virtual int SUNImplicitSetup(const Vector &x, const Vector &fx,
+                                int jok, int *jcur, double gamma);
 
-   int SUNMassSolve(const Vector &b, Vector &x, real_t tol) override;
+   /** Solve the system (M + dt K) x = M b. This method is used by the implicit
+       SUNDIALS solvers. */
+   virtual int SUNImplicitSolve(const Vector &b, Vector &x, double tol);
 
-   int SUNMassMult(const Vector &x, Vector &v) override;
+   /// Update the diffusion BilinearForm K using the given true-dof vector `u`.
+   void SetParameters(const Vector &u);
+
+   virtual ~ConductionOperator();
 };
 
-real_t InitialTemperature(const Vector &x)
-{
-   if (x.Norml2() < 0.5)
-   {
-      return 2.0;
-   }
-   else
-   {
-      return 1.0;
-   }
-}
-
+double InitialTemperature(const Vector &x);
 
 int main(int argc, char *argv[])
 {
@@ -150,16 +117,16 @@ int main(int argc, char *argv[])
    int ref_levels = 2;
    int order = 2;
    int ode_solver_type = 9; // CVODE implicit BDF
-   real_t t_final = 0.5;
-   real_t dt = 1.0e-2;
-   real_t alpha = 1.0e-2;
-   real_t kappa = 0.5;
+   double t_final = 0.5;
+   double dt = 1.0e-2;
+   double alpha = 1.0e-2;
+   double kappa = 0.5;
    bool visualization = true;
    bool visit = false;
    int vis_steps = 5;
 
    // Relative and absolute tolerances for CVODE and ARKODE.
-   const real_t reltol = 1e-4, abstol = 1e-4;
+   const double reltol = 1e-4, abstol = 1e-4;
 
    int precision = 8;
    cout.precision(precision);
@@ -184,10 +151,7 @@ int main(int argc, char *argv[])
                   "9  - CVODE (implicit BDF),\n\t"
                   "10 - ARKODE (default explicit),\n\t"
                   "11 - ARKODE (explicit Fehlberg-6-4-5),\n\t"
-                  "12 - ARKODE (default implicit),\n\t"
-                  "13 - ARKODE (default explicit with MFEM mass solve),\n\t"
-                  "14 - ARKODE (explicit Fehlberg-6-4-5 with MFEM mass solve),\n\t"
-                  "15 - ARKODE (default implicit with MFEM mass solve).");
+                  "12 - ARKODE (default impicit).");
    args.AddOption(&t_final, "-tf", "--t-final",
                   "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
@@ -210,13 +174,16 @@ int main(int argc, char *argv[])
       args.PrintUsage(cout);
       return 1;
    }
+   if (ode_solver_type < 1 || ode_solver_type > 12)
+   {
+      cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
+      return 3;
+   }
    args.PrintOptions(cout);
 
-   bool use_mass_solver = ode_solver_type >= 13;
-
    // 2. Read the mesh from the given mesh file. We can handle triangular,
    //    quadrilateral, tetrahedral and hexahedral meshes with the same code.
-   std::unique_ptr<Mesh> mesh(new Mesh(mesh_file, 1, 1));
+   Mesh *mesh = new Mesh(mesh_file, 1, 1);
    int dim = mesh->Dimension();
 
    // 3. Refine the mesh to increase the resolution. In this example we do
@@ -230,7 +197,7 @@ int main(int argc, char *argv[])
    // 4. Define the vector finite element space representing the current and the
    //    initial temperature, u_ref.
    H1_FECollection fe_coll(order, dim);
-   FiniteElementSpace fespace(mesh.get(), &fe_coll);
+   FiniteElementSpace fespace(mesh, &fe_coll);
 
    int fe_size = fespace.GetTrueVSize();
    cout << "Number of temperature unknowns: " << fe_size << endl;
@@ -244,17 +211,8 @@ int main(int argc, char *argv[])
    Vector u;
    u_gf.GetTrueDofs(u);
 
-   // 6. Initialize the conduction ODE operator and the visualization.
-   ConductionOperator::Type ode_expression_type;
-   if (use_mass_solver)
-   {
-      ode_expression_type = ConductionOperator::Type::IMPLICIT;
-   }
-   else
-   {
-      ode_expression_type = ConductionOperator::Type::EXPLICIT;
-   }
-   ConductionOperator oper(fespace, alpha, kappa, u, ode_expression_type);
+   // 6. Initialize the conduction operator and the visualization.
+   ConductionOperator oper(fespace, alpha, kappa, u);
 
    u_gf.SetFromTrueDofs(u);
    {
@@ -266,7 +224,7 @@ int main(int argc, char *argv[])
       u_gf.Save(osol);
    }
 
-   VisItDataCollection visit_dc("Example16", mesh.get());
+   VisItDataCollection visit_dc("Example16", mesh);
    visit_dc.RegisterField("temperature", &u_gf);
    if (visit)
    {
@@ -300,75 +258,52 @@ int main(int argc, char *argv[])
    }
 
    // 7. Define the ODE solver used for time integration.
-   real_t t = 0.0;
-   std::unique_ptr<ODESolver> ode_solver;
+   double t = 0.0;
+   ODESolver *ode_solver = NULL;
+   CVODESolver *cvode = NULL;
+   ARKStepSolver *arkode = NULL;
    switch (ode_solver_type)
    {
       // MFEM explicit methods
-      case 1: ode_solver = std::make_unique<ForwardEulerSolver>(); break;
-      case 2: ode_solver = std::make_unique<RK2Solver>(0.5); break; // midpoint method
-      case 3: ode_solver = std::make_unique<RK3SSPSolver>(); break;
-      case 4: ode_solver = std::make_unique<RK4Solver>(); break;
+      case 1: ode_solver = new ForwardEulerSolver; break;
+      case 2: ode_solver = new RK2Solver(0.5); break; // midpoint method
+      case 3: ode_solver = new RK3SSPSolver; break;
+      case 4: ode_solver = new RK4Solver; break;
       // MFEM implicit L-stable methods
-      case 5: ode_solver = std::make_unique<BackwardEulerSolver>(); break;
-      case 6: ode_solver = std::make_unique<SDIRK23Solver>(2); break;
-      case 7: ode_solver = std::make_unique<SDIRK33Solver>(); break;
+      case 5: ode_solver = new BackwardEulerSolver; break;
+      case 6: ode_solver = new SDIRK23Solver(2); break;
+      case 7: ode_solver = new SDIRK33Solver; break;
       // CVODE
       case 8:
-      case 9:
-      {
-         int cvode_solver_type;
-         if (ode_solver_type == 8)
-         {
-            cvode_solver_type = CV_ADAMS;
-         }
-         else
-         {
-            cvode_solver_type = CV_BDF;
-         }
-         std::unique_ptr<CVODESolver> cvode(new CVODESolver(cvode_solver_type));
+         cvode = new CVODESolver(CV_ADAMS);
          cvode->Init(oper);
          cvode->SetSStolerances(reltol, abstol);
          cvode->SetMaxStep(dt);
-         ode_solver = std::move(cvode);
-         break;
-      }
+         ode_solver = cvode; break;
+      case 9:
+         cvode = new CVODESolver(CV_BDF);
+         cvode->Init(oper);
+         cvode->SetSStolerances(reltol, abstol);
+         cvode->SetMaxStep(dt);
+         ode_solver = cvode; break;
       // ARKODE
       case 10:
       case 11:
-      case 12:
-      case 13:
-      case 14:
-      case 15:
-      {
-         ARKStepSolver::Type arkode_solver_type;
-         if (ode_solver_type == 12 || ode_solver_type == 15)
-         {
-            arkode_solver_type = ARKStepSolver::IMPLICIT;
-         }
-         else
-         {
-            arkode_solver_type = ARKStepSolver::EXPLICIT;
-         }
-         std::unique_ptr<ARKStepSolver> arkode(
-            new ARKStepSolver(arkode_solver_type));
+         arkode = new ARKStepSolver(ARKStepSolver::EXPLICIT);
          arkode->Init(oper);
          arkode->SetSStolerances(reltol, abstol);
          arkode->SetMaxStep(dt);
-         if (ode_solver_type == 11 || ode_solver_type == 14)
+         if (ode_solver_type == 11)
          {
             arkode->SetERKTableNum(ARKODE_FEHLBERG_13_7_8);
          }
-         if (use_mass_solver)
-         {
-            arkode->UseMFEMMassLinearSolver(SUNFALSE);
-         }
-         ode_solver = std::move(arkode);
-         break;
-      }
-      default:
-         cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
-         return 3;
+         ode_solver = arkode; break;
+      case 12:
+         arkode = new ARKStepSolver(ARKStepSolver::IMPLICIT);
+         arkode->Init(oper);
+         arkode->SetSStolerances(reltol, abstol);
+         arkode->SetMaxStep(dt);
+         ode_solver = arkode; break;
    }
 
    // Initialize MFEM integrators, SUNDIALS integrators are initialized above
@@ -376,14 +311,8 @@ int main(int argc, char *argv[])
 
    // Since we want to update the diffusion coefficient after every time step,
    // we need to use the "one-step" mode of the SUNDIALS solvers.
-   if (CVODESolver* cvode = dynamic_cast<CVODESolver*>(ode_solver.get()))
-   {
-      cvode->SetStepMode(CV_ONE_STEP);
-   }
-   else if (ARKStepSolver* arkode = dynamic_cast<ARKStepSolver*>(ode_solver.get()))
-   {
-      arkode->SetStepMode(ARK_ONE_STEP);
-   }
+   if (cvode) { cvode->SetStepMode(CV_ONE_STEP); }
+   if (arkode) { arkode->SetStepMode(ARK_ONE_STEP); }
 
    // 8. Perform time-integration (looping over the time iterations, ti, with a
    //    time-step dt).
@@ -394,7 +323,7 @@ int main(int argc, char *argv[])
    bool last_step = false;
    for (int ti = 1; !last_step; ti++)
    {
-      real_t dt_real = min(dt, t_final - t);
+      double dt_real = min(dt, t_final - t);
 
       // Note that since we are using the "one-step" mode of the SUNDIALS
       // solvers, they will, generally, step over the final time and will not
@@ -408,14 +337,8 @@ int main(int argc, char *argv[])
       if (last_step || (ti % vis_steps) == 0)
       {
          cout << "step " << ti << ", t = " << t << endl;
-         if (CVODESolver* cvode = dynamic_cast<CVODESolver*>(ode_solver.get()))
-         {
-            cvode->PrintInfo();
-         }
-         else if (ARKStepSolver* arkode = dynamic_cast<ARKStepSolver*>(ode_solver.get()))
-         {
-            arkode->PrintInfo();
-         }
+         if (cvode) { cvode->PrintInfo(); }
+         if (arkode) { arkode->PrintInfo(); }
 
          u_gf.SetFromTrueDofs(u);
          if (visualization)
@@ -430,153 +353,137 @@ int main(int argc, char *argv[])
             visit_dc.Save();
          }
       }
-      oper.SetConductionTensor(u);
+      oper.SetParameters(u);
    }
    tic_toc.Stop();
    cout << "Done, " << tic_toc.RealTime() << "s." << endl;
 
    // 9. Save the final solution. This output can be viewed later using GLVis:
    //    "glvis -m ex16.mesh -g ex16-final.gf".
-   u_gf.Save("ex16-final.gf", precision);
+   {
+      ofstream osol("ex16-final.gf");
+      osol.precision(precision);
+      u_gf.Save(osol);
+   }
+
+   // 10. Free the used memory.
+   delete ode_solver;
+   delete mesh;
 
    return 0;
 }
 
-ConductionOperator::ConductionOperator(FiniteElementSpace &fes,
-                                       const real_t alpha, const real_t kappa,
-                                       const Vector &u,
-                                       const Type &ode_expression_type)
-   : TimeDependentOperator(fes.GetTrueVSize(), 0.0, ode_expression_type),
-     fespace(fes), alpha(alpha), kappa(kappa), M(&fespace), z(height)
+ConductionOperator::ConductionOperator(FiniteElementSpace &f, double al,
+                                       double kap, const Vector &u)
+   : TimeDependentOperator(f.GetTrueVSize(), 0.0), fespace(f), M(NULL), K(NULL),
+     T(NULL), z(height)
 {
-   // specify a relative tolerance for all solves with MFEM integrators
-   const real_t rel_tol = 1e-8;
+   const double rel_tol = 1e-8;
 
-   M.AddDomainIntegrator(new MassIntegrator());
-   M.Assemble();
-   M.FormSystemMatrix(ess_tdof_list, Mmat);
+   M = new BilinearForm(&fespace);
+   M->AddDomainIntegrator(new MassIntegrator());
+   M->Assemble();
+   M->FormSystemMatrix(ess_tdof_list, Mmat);
 
    M_solver.iterative_mode = false;
-   M_solver.SetRelTol(rel_tol); // will be overwritten with SUNDIALS integrators
+   M_solver.SetRelTol(rel_tol);
    M_solver.SetAbsTol(0.0);
    M_solver.SetMaxIter(50);
    M_solver.SetPrintLevel(0);
    M_solver.SetPreconditioner(M_prec);
    M_solver.SetOperator(Mmat);
 
+   alpha = al;
+   kappa = kap;
+
    T_solver.iterative_mode = false;
-   T_solver.SetRelTol(rel_tol); // will be overwritten with SUNDIALS integrators
+   T_solver.SetRelTol(rel_tol);
    T_solver.SetAbsTol(0.0);
    T_solver.SetMaxIter(100);
    T_solver.SetPrintLevel(0);
    T_solver.SetPreconditioner(T_prec);
 
-   SetConductionTensor(u);
+   SetParameters(u);
 }
 
-void ConductionOperator::SetConductionTensor(const Vector &u)
+void ConductionOperator::Mult(const Vector &u, Vector &du_dt) const
+{
+   // Compute:
+   //    du_dt = M^{-1}*-K(u)
+   // for du_dt
+   Kmat.Mult(u, z);
+   z.Neg(); // z = -z
+   M_solver.Mult(z, du_dt);
+}
+
+void ConductionOperator::ImplicitSolve(const double dt,
+                                       const Vector &u, Vector &du_dt)
+{
+   // Solve the equation:
+   //    du_dt = M^{-1}*[-K(u + dt*du_dt)]
+   // for du_dt
+   if (T) { delete T; }
+   T = Add(1.0, Mmat, dt, Kmat);
+   T_solver.SetOperator(*T);
+   Kmat.Mult(u, z);
+   z.Neg();
+   T_solver.Mult(z, du_dt);
+}
+
+void ConductionOperator::SetParameters(const Vector &u)
 {
-   // Compute K(u_n).
    GridFunction u_alpha_gf(&fespace);
    u_alpha_gf.SetFromTrueDofs(u);
    for (int i = 0; i < u_alpha_gf.Size(); i++)
    {
       u_alpha_gf(i) = kappa + alpha*u_alpha_gf(i);
    }
+
+   delete K;
+   K = new BilinearForm(&fespace);
+
    GridFunctionCoefficient u_coeff(&u_alpha_gf);
 
-   K = std::make_unique<BilinearForm>(&fespace);
    K->AddDomainIntegrator(new DiffusionIntegrator(u_coeff));
    K->Assemble();
    K->FormSystemMatrix(ess_tdof_list, Kmat);
 }
 
-void ConductionOperator::ExplicitMult(const Vector &u, Vector &v) const
+int ConductionOperator::SUNImplicitSetup(const Vector &x,
+                                         const Vector &fx, int jok, int *jcur,
+                                         double gamma)
 {
-   // Compute - K(u_n) u.
-   Kmat.Mult(u, v);
-   v.Neg();
-}
-
-void ConductionOperator::Mult(const Vector &u, Vector &k) const
-{
-   // Compute - inv(M) K(u_n) u.
-   ExplicitMult(u, z);
-   M_solver.Mult(z, k);
-}
-
-void ConductionOperator::ImplicitSolve(const real_t gam, const Vector &u,
-                                       Vector &k)
-{
-   // Solve for k in M k = - K(u_n) [u + gam*k].
-   ExplicitMult(u, z);
-   T = std::unique_ptr<SparseMatrix>(Add(1.0, Mmat, gam, Kmat));
+   // Setup the ODE Jacobian T = M + gamma K.
+   if (T) { delete T; }
+   T = Add(1.0, Mmat, gamma, Kmat);
    T_solver.SetOperator(*T);
-   T_solver.Mult(z, k);
+   *jcur = 1;
+   return (0);
 }
 
-int ConductionOperator::SUNImplicitSetup(const Vector &u, const Vector &fu,
-                                         int jok, int *jcur, real_t gam)
+int ConductionOperator::SUNImplicitSolve(const Vector &b, Vector &x, double tol)
 {
-   // Compute T = M + gamma K(u_n).
-   T = std::unique_ptr<SparseMatrix>(Add(1.0, Mmat, gam, Kmat));
-   T_solver.SetOperator(*T);
-   *jcur = SUNTRUE; // this should eventually only be set true if K(u) is used
-   return SUNLS_SUCCESS;
+   // Solve the system A x = z => (M - gamma K) x = M b.
+   Mmat.Mult(b, z);
+   T_solver.Mult(z, x);
+   return (0);
 }
 
-int ConductionOperator::SUNImplicitSolve(const Vector &r, Vector &dk,
-                                         real_t tol)
+ConductionOperator::~ConductionOperator()
 {
-   // Solve the system [M + gamma K(u_n)] dk = - K(u_n) u - M k.
-   // What value r is providing depends on the ODE expression form:
-   //   EXPLICIT form: r = -inv(M) K(u_n) u - k
-   //   IMPLICIT form: r = -K(u_n) u - M k
-   T_solver.SetRelTol(tol);
-   if (isExplicit())
+   delete T;
+   delete M;
+   delete K;
+}
+
+double InitialTemperature(const Vector &x)
+{
+   if (x.Norml2() < 0.5)
    {
-      Mmat.Mult(r, z);
-      T_solver.Mult(z, dk);
+      return 2.0;
    }
    else
    {
-      T_solver.Mult(r, dk);
-   }
-   if (T_solver.GetConverged())
-   {
-      return SUNLS_SUCCESS;
-   }
-   else
-   {
-      return SUNLS_CONV_FAIL;
+      return 1.0;
    }
 }
-
-int ConductionOperator::SUNMassSetup()
-{
-   // Do nothing b/c mass solver was setup in constructor.
-   return SUNLS_SUCCESS;
-}
-
-int ConductionOperator::SUNMassSolve(const Vector &b, Vector &x, real_t tol)
-{
-   // Solve the system M x = b.
-   M_solver.SetRelTol(tol);
-   M_solver.Mult(b, x);
-   if (M_solver.GetConverged())
-   {
-      return SUNLS_SUCCESS;
-   }
-   else
-   {
-      return SUNLS_CONV_FAIL;
-   }
-}
-
-int ConductionOperator::SUNMassMult(const Vector &x, Vector &v)
-{
-   // Compute M x.
-   Mmat.Mult(x, v);
-   return SUNLS_SUCCESS;
-}
-

examples/sundials/ex16p.cpp

@@ -1,22 +1,16 @@
 //                         MFEM Example 16 - Parallel Version
 //                              SUNDIALS Modification
 //
-// Compile with:
-//    make ex16p            (GNU make)
-//    make sundials_ex16p   (CMake)
+// Compile with: make ex16p
 //
 // Sample runs:
 //     mpirun -np 4 ex16p
 //     mpirun -np 4 ex16p -m ../../data/inline-tri.mesh
 //     mpirun -np 4 ex16p -m ../../data/disc-nurbs.mesh -tf 2
 //     mpirun -np 4 ex16p -s 12 -a 0.0 -k 1.0
-//     mpirun -np 4 ex16p -s 15 -a 0.0 -k 1.0
 //     mpirun -np 4 ex16p -s 8 -a 1.0 -k 0.0 -dt 4e-6 -tf 2e-2 -vs 50
-//     mpirun -np 4 ex16p -s 11 -a 1.0 -k 0.0 -dt 4e-6 -tf 2e-2 -vs 50
 //     mpirun -np 8 ex16p -s 9 -a 0.5 -k 0.5 -o 4 -dt 8e-6 -tf 2e-2 -vs 50
-//     mpirun -np 8 ex16p -s 12 -a 0.5 -k 0.5 -o 4 -dt 8e-6 -tf 2e-2 -vs 50
 //     mpirun -np 4 ex16p -s 10 -dt 2.0e-4 -tf 4.0e-2
-//     mpirun -np 4 ex16p -s 13 -dt 2.0e-4 -tf 4.0e-2
 //     mpirun -np 16 ex16p -m ../../data/fichera-q2.mesh
 //     mpirun -np 16 ex16p -m ../../data/escher-p2.mesh
 //     mpirun -np 8 ex16p -m ../../data/beam-tet.mesh -tf 10 -dt 0.1
@@ -44,102 +38,66 @@
 using namespace std;
 using namespace mfem;
 
-/** After spatial discretization, the conduction model is expressed as
+/** After spatial discretization, the conduction model can be written as:
  *
- *   M du/dt = - K(u) u
+ *     du/dt = M^{-1}(-Ku)
  *
  *  where u is the vector representing the temperature, M is the mass matrix,
- *  and K(u) is the diffusion operator with diffusivity depending on u:
+ *  and K is the diffusion operator with diffusivity depending on u:
  *  (\kappa + \alpha u).
  *
- *  Class ConductionOperatorOperator represents the above ODE operator in the
- *  general form F(u, k, t) = G(u, t) where either
- *
- *    1. F(u, du/dt, t) = du/dt            (ODE is expressed in EXPLICIT form)
- *       G(u, t) = - inv(M) K(u) u
- *    2. F(u, du/dt, t) = M du/dt          (ODE is expressed in IMPLICIT form)
- *       G(u, t) = - K(u) u
+ *  Class ConductionOperator represents the right-hand side of the above ODE.
  */
 class ConductionOperator : public TimeDependentOperator
 {
+protected:
    ParFiniteElementSpace &fespace;
    Array<int> ess_tdof_list; // this list remains empty for pure Neumann b.c.
 
-   ParBilinearForm M;
+   ParBilinearForm *M;
+   ParBilinearForm *K;
+
    HypreParMatrix Mmat;
-
-   const real_t alpha, kappa;
-   std::unique_ptr<BilinearForm> K;
    HypreParMatrix Kmat;
+   HypreParMatrix *T; // T = M + dt K
+   double current_dt;
 
-   std::unique_ptr<HypreParMatrix> T; // T = M + gam K(u)
+   CGSolver M_solver;    // Krylov solver for inverting the mass matrix M
+   HypreSmoother M_prec; // Preconditioner for the mass matrix M
 
-   CGSolver M_solver; // Krylov solver for inverting the mass matrix M
-   HypreSmoother M_prec;  // Preconditioner for the mass matrix M
+   CGSolver T_solver;    // Implicit solver for T = M + dt K
+   HypreSmoother T_prec; // Preconditioner for the implicit solver
 
-   CGSolver T_solver; // Implicit solver for T = M + gam K(u)
-   HypreSmoother T_prec;  // Preconditioner for the implicit solver
+   double alpha, kappa;
 
    mutable Vector z; // auxiliary vector
 
 public:
+   ConductionOperator(ParFiniteElementSpace &f, double alpha, double kappa,
+                      const Vector &u);
 
-   ConductionOperator(ParFiniteElementSpace &f, const real_t alpha,
-                      const real_t kappa, const Vector &u,
-                      const Type &ode_expression_type);
+   virtual void Mult(const Vector &u, Vector &du_dt) const;
 
-   // Compute K(u_n) for use as an approximation in - K(u) u
-   void SetConductionTensor(const Vector &u);
+   /** Solve the Backward-Euler equation: k = f(u + dt*k, t), for the unknown k.
+       This is the only requirement for high-order SDIRK implicit integration.*/
+   virtual void ImplicitSolve(const double dt, const Vector &u, Vector &k);
 
-   /** Compute G(u, t) as defined in the IMPLICIT expression form of the ODE
-       operator, i.e., @a v = - K(u_n) @a u. Note that K(u_n) is an
-       approximation to K(u). */
-   void ExplicitMult(const Vector &u, Vector &v) const override;
+   /** Setup the system (M + dt K) x = M b. This method is used by the implicit
+       SUNDIALS solvers. */
+   virtual int SUNImplicitSetup(const Vector &x, const Vector &fx,
+                                int jok, int *jcur, double gamma);
 
-   /** Solve for k in F(u, k, t) = G(u, t) for either EXPLICIT or IMPLICIT
-       expression forms of the ODE operator, i.e., @a k = - inv(M) K(u_n) @a u.
-       Note that K(u_n) is an approximation to K(u). */
-   void Mult(const Vector &u, Vector &k) const override;
+   /** Solve the system (M + dt K) x = M b. This method is used by the implicit
+       SUNDIALS solvers. */
+   virtual int SUNImplicitSolve(const Vector &b, Vector &x, double tol);
 
-   /** Solve for k in F(u + gam*k, k, t) = G(u + gam*k, t) for either EXPLICIT
-       or IMPLICIT expression forms of the ODE operator, i.e.,
-       [ M + @a gam K(u_n) ] @a k = - K(u_n) @a u . Note that K(u_n) is an
-       approximation to K(u). */
-   void ImplicitSolve(const real_t gam, const Vector &u, Vector &k) override;
+   /// Update the diffusion BilinearForm K using the given true-dof vector `u`.
+   void SetParameters(const Vector &u);
 
-   /** Setup to solve for dk in [dF/dk + gam*dF/du - gam*dG/du] dk = G - F for
-       either EXPLICIT or IMPLICIT expression forms of the ODE operator, i.e.,
-       [M - @a gam Jf(u)] dk = G - F, where Jf(u) is an approximation of the
-       Jacobian of -K(u) u. The approximation chosen here is Jf(u) = -K(u_n). */
-   int SUNImplicitSetup(const Vector &u, const Vector &fu, int jok, int *jcur,
-                        real_t gam) override;
-
-   /** Solve for @a dk in the system in SUNImplicitSetup to the given tolerance,
-       with the residual @a r providing either
-        1. @a r = G - F = inv(M) f(u) - k       (EXPLICIT expression form)
-        1. @a r = G - F = f(u) - M k            (IMPLICIT expression form)
-       */
-   int SUNImplicitSolve(const Vector &r, Vector &dk, real_t tol) override;
-
-   int SUNMassSetup() override;
-
-   int SUNMassSolve(const Vector &b, Vector &x, real_t tol) override;
-
-   int SUNMassMult(const Vector &x, Vector &v) override;
+   virtual ~ConductionOperator();
 };
 
-real_t InitialTemperature(const Vector &x)
-{
-   if (x.Norml2() < 0.5)
-   {
-      return 2.0;
-   }
-   else
-   {
-      return 1.0;
-   }
-}
-
+double InitialTemperature(const Vector &x);
 
 int main(int argc, char *argv[])
 {
@@ -156,16 +114,16 @@ int main(int argc, char *argv[])
    int par_ref_levels = 1;
    int order = 2;
    int ode_solver_type = 9; // CVODE implicit BDF
-   real_t t_final = 0.5;
-   real_t dt = 1.0e-2;
-   real_t alpha = 1.0e-2;
-   real_t kappa = 0.5;
+   double t_final = 0.5;
+   double dt = 1.0e-2;
+   double alpha = 1.0e-2;
+   double kappa = 0.5;
    bool visualization = true;
    bool visit = false;
    int vis_steps = 5;
 
    // Relative and absolute tolerances for CVODE and ARKODE.
-   const real_t reltol = 1e-4, abstol = 1e-4;
+   const double reltol = 1e-4, abstol = 1e-4;
 
    int precision = 8;
    cout.precision(precision);
@@ -192,10 +150,7 @@ int main(int argc, char *argv[])
                   "9  - CVODE (implicit BDF),\n\t"
                   "10 - ARKODE (default explicit),\n\t"
                   "11 - ARKODE (explicit Fehlberg-6-4-5),\n\t"
-                  "12 - ARKODE (default implicit),\n\t"
-                  "13 - ARKODE (default explicit with MFEM mass solve),\n\t"
-                  "14 - ARKODE (explicit Fehlberg-6-4-5 with MFEM mass solve),\n\t"
-                  "15 - ARKODE (default implicit with MFEM mass solve).");
+                  "12 - ARKODE (default impicit).");
    args.AddOption(&t_final, "-tf", "--t-final",
                   "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
@@ -219,33 +174,40 @@ int main(int argc, char *argv[])
       return 1;
    }
 
-   if (Mpi::Root())
+   if (myid == 0)
    {
       args.PrintOptions(cout);
    }
 
-   bool use_mass_solver = ode_solver_type >= 13;
+   // check for valid ODE solver option
+   if (ode_solver_type < 1 || ode_solver_type > 12)
+   {
+      if (myid == 0)
+      {
+         cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
+      }
+      return 1;
+   }
 
-   // 3. Define a parallel mesh by a partitioning of a serial mesh. Read the
-   //    serial mesh from the given mesh file on all processors. We can
+   // 3. Read the serial mesh from the given mesh file on all processors. We can
    //    handle triangular, quadrilateral, tetrahedral and hexahedral meshes
    //    with the same code.
-   std::unique_ptr<ParMesh> pmesh;
+   Mesh *mesh = new Mesh(mesh_file, 1, 1);
+   int dim = mesh->Dimension();
+
+   // 4. Refine the mesh in serial to increase the resolution. In this example
+   //    we do 'ser_ref_levels' of uniform refinement, where 'ser_ref_levels' is
+   //    a command-line parameter.
+   for (int lev = 0; lev < ser_ref_levels; lev++)
    {
-      std::unique_ptr<Mesh> mesh(new Mesh(mesh_file, 1, 1));
-
-      // 4. Refine the mesh in serial to increase the resolution. In this example
-      //    we do 'ser_ref_levels' of uniform refinement, where 'ser_ref_levels' is
-      //    a command-line parameter.
-      for (int lev = 0; lev < ser_ref_levels; lev++)
-      {
-         mesh->UniformRefinement();
-      }
-
-      // 5. Refine this mesh further in parallel to increase the resolution.
-      //    Once the parallel mesh is defined, the serial mesh can be deleted.
-      pmesh = std::make_unique<ParMesh>(MPI_COMM_WORLD, *mesh);
+      mesh->UniformRefinement();
    }
+
+   // 5. Define a parallel mesh by a partitioning of the serial mesh. Refine
+   //    this mesh further in parallel to increase the resolution. Once the
+   //    parallel mesh is defined, the serial mesh can be deleted.
+   ParMesh *pmesh = new ParMesh(MPI_COMM_WORLD, *mesh);
+   delete mesh;
    for (int lev = 0; lev < par_ref_levels; lev++)
    {
       pmesh->UniformRefinement();
@@ -253,9 +215,8 @@ int main(int argc, char *argv[])
 
    // 6. Define the vector finite element space representing the current and the
    //    initial temperature, u_ref.
-   int dim = pmesh->Dimension();
    H1_FECollection fe_coll(order, dim);
-   ParFiniteElementSpace fespace(pmesh.get(), &fe_coll);
+   ParFiniteElementSpace fespace(pmesh, &fe_coll);
 
    int fe_size = fespace.GlobalTrueVSize();
    if (myid == 0)
@@ -272,17 +233,8 @@ int main(int argc, char *argv[])
    Vector u;
    u_gf.GetTrueDofs(u);
 
-   // 8. Initialize the conduction ODE operator and the visualization.
-   ConductionOperator::Type ode_expression_type;
-   if (use_mass_solver)
-   {
-      ode_expression_type = ConductionOperator::Type::IMPLICIT;
-   }
-   else
-   {
-      ode_expression_type = ConductionOperator::Type::EXPLICIT;
-   }
-   ConductionOperator oper(fespace, alpha, kappa, u, ode_expression_type);
+   // 8. Initialize the conduction operator and the VisIt visualization.
+   ConductionOperator oper(fespace, alpha, kappa, u);
 
    u_gf.SetFromTrueDofs(u);
    {
@@ -297,7 +249,7 @@ int main(int argc, char *argv[])
       u_gf.Save(osol);
    }
 
-   VisItDataCollection visit_dc("Example16-Parallel", pmesh.get());
+   VisItDataCollection visit_dc("Example16-Parallel", pmesh);
    visit_dc.RegisterField("temperature", &u_gf);
    if (visit)
    {
@@ -341,76 +293,52 @@ int main(int argc, char *argv[])
    }
 
    // 9. Define the ODE solver used for time integration.
-   real_t t = 0.0;
-   std::unique_ptr<ODESolver> ode_solver;
+   double t = 0.0;
+   ODESolver *ode_solver = NULL;
+   CVODESolver *cvode = NULL;
+   ARKStepSolver *arkode = NULL;
    switch (ode_solver_type)
    {
       // MFEM explicit methods
-      case 1: ode_solver = std::make_unique<ForwardEulerSolver>(); break;
-      case 2: ode_solver = std::make_unique<RK2Solver>(0.5); break; // midpoint method
-      case 3: ode_solver = std::make_unique<RK3SSPSolver>(); break;
-      case 4: ode_solver = std::make_unique<RK4Solver>(); break;
+      case 1: ode_solver = new ForwardEulerSolver; break;
+      case 2: ode_solver = new RK2Solver(0.5); break; // midpoint method
+      case 3: ode_solver = new RK3SSPSolver; break;
+      case 4: ode_solver = new RK4Solver; break;
       // MFEM implicit L-stable methods
-      case 5: ode_solver = std::make_unique<BackwardEulerSolver>(); break;
-      case 6: ode_solver = std::make_unique<SDIRK23Solver>(2); break;
-      case 7: ode_solver = std::make_unique<SDIRK33Solver>(); break;
+      case 5: ode_solver = new BackwardEulerSolver; break;
+      case 6: ode_solver = new SDIRK23Solver(2); break;
+      case 7: ode_solver = new SDIRK33Solver; break;
       // CVODE
       case 8:
-      case 9:
-      {
-         int cvode_solver_type;
-         if (ode_solver_type == 8)
-         {
-            cvode_solver_type = CV_ADAMS;
-         }
-         else
-         {
-            cvode_solver_type = CV_BDF;
-         }
-         std::unique_ptr<CVODESolver> cvode(
-            new CVODESolver(MPI_COMM_WORLD, cvode_solver_type));
+         cvode = new CVODESolver(MPI_COMM_WORLD, CV_ADAMS);
          cvode->Init(oper);
          cvode->SetSStolerances(reltol, abstol);
          cvode->SetMaxStep(dt);
-         ode_solver = std::move(cvode);
-         break;
-      }
+         ode_solver = cvode; break;
+      case 9:
+         cvode = new CVODESolver(MPI_COMM_WORLD, CV_BDF);
+         cvode->Init(oper);
+         cvode->SetSStolerances(reltol, abstol);
+         cvode->SetMaxStep(dt);
+         ode_solver = cvode; break;
       // ARKODE
       case 10:
       case 11:
-      case 12:
-      case 13:
-      case 14:
-      case 15:
-      {
-         ARKStepSolver::Type arkode_solver_type;
-         if (ode_solver_type == 12 || ode_solver_type == 15)
-         {
-            arkode_solver_type = ARKStepSolver::IMPLICIT;
-         }
-         else
-         {
-            arkode_solver_type = ARKStepSolver::EXPLICIT;
-         }
-         std::unique_ptr<ARKStepSolver> arkode(
-            new ARKStepSolver(MPI_COMM_WORLD, arkode_solver_type));
+         arkode = new ARKStepSolver(MPI_COMM_WORLD, ARKStepSolver::EXPLICIT);
          arkode->Init(oper);
          arkode->SetSStolerances(reltol, abstol);
          arkode->SetMaxStep(dt);
-         if (ode_solver_type == 11 || ode_solver_type == 14)
+         if (ode_solver_type == 11)
          {
             arkode->SetERKTableNum(ARKODE_FEHLBERG_13_7_8);
          }
-         if (use_mass_solver)
-         {
-            arkode->UseMFEMMassLinearSolver(SUNFALSE);
-         }
-         ode_solver = std::move(arkode);
-         break;
-      }
-      default:
-         cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
-         return 3;
+         ode_solver = arkode; break;
+      case 12:
+         arkode = new ARKStepSolver(MPI_COMM_WORLD, ARKStepSolver::IMPLICIT);
+         arkode->Init(oper);
+         arkode->SetSStolerances(reltol, abstol);
+         arkode->SetMaxStep(dt);
+         ode_solver = arkode; break;
    }
 
    // Initialize MFEM integrators, SUNDIALS integrators are initialized above
@@ -418,18 +346,12 @@ int main(int argc, char *argv[])
 
    // Since we want to update the diffusion coefficient after every time step,
    // we need to use the "one-step" mode of the SUNDIALS solvers.
-   if (CVODESolver* cvode = dynamic_cast<CVODESolver*>(ode_solver.get()))
-   {
-      cvode->SetStepMode(CV_ONE_STEP);
-   }
-   else if (ARKStepSolver* arkode = dynamic_cast<ARKStepSolver*>(ode_solver.get()))
-   {
-      arkode->SetStepMode(ARK_ONE_STEP);
-   }
+   if (cvode) { cvode->SetStepMode(CV_ONE_STEP); }
+   if (arkode) { arkode->SetStepMode(ARK_ONE_STEP); }
 
    // 10. Perform time-integration (looping over the time iterations, ti, with a
    //     time-step dt).
-   if (Mpi::Root())
+   if (myid == 0)
    {
       cout << "Integrating the ODE ..." << endl;
    }
@@ -439,7 +361,7 @@ int main(int argc, char *argv[])
    bool last_step = false;
    for (int ti = 1; !last_step; ti++)
    {
-      real_t dt_real = min(dt, t_final - t);
+      double dt_real = min(dt, t_final - t);
 
       // Note that since we are using the "one-step" mode of the SUNDIALS
       // solvers, they will, generally, step over the final time and will not
@@ -455,14 +377,8 @@ int main(int argc, char *argv[])
          if (myid == 0)
          {
             cout << "step " << ti << ", t = " << t << endl;
-            if (CVODESolver* cvode = dynamic_cast<CVODESolver*>(ode_solver.get()))
-            {
-               cvode->PrintInfo();
-            }
-            else if (ARKStepSolver* arkode = dynamic_cast<ARKStepSolver*>(ode_solver.get()))
-            {
-               arkode->PrintInfo();
-            }
+            if (cvode) { cvode->PrintInfo(); }
+            if (arkode) { arkode->PrintInfo(); }
          }
 
          u_gf.SetFromTrueDofs(u);
@@ -479,38 +395,46 @@ int main(int argc, char *argv[])
             visit_dc.Save();
          }
       }
-      oper.SetConductionTensor(u);
+      oper.SetParameters(u);
    }
    tic_toc.Stop();
-   if (Mpi::Root())
+   if (myid == 0)
    {
       cout << "Done, " << tic_toc.RealTime() << "s." << endl;
    }
 
    // 11. Save the final solution in parallel. This output can be viewed later
    //     using GLVis: "glvis -np <np> -m ex16-mesh -g ex16-final".
-   u_gf.Save("ex16-final", precision);
+   {
+      ostringstream sol_name;
+      sol_name << "ex16-final." << setfill('0') << setw(6) << myid;
+      ofstream osol(sol_name.str().c_str());
+      osol.precision(precision);
+      u_gf.Save(osol);
+   }
+
+   // 12. Free the used memory.
+   delete ode_solver;
+   delete pmesh;
 
    return 0;
 }
 
-ConductionOperator::ConductionOperator(ParFiniteElementSpace &fes,
-                                       const real_t alpha, const real_t kappa,
-                                       const Vector &u,
-                                       const Type &ode_expression_type)
-   : TimeDependentOperator(fes.GetTrueVSize(), 0.0, ode_expression_type),
-     fespace(fes), alpha(alpha), kappa(kappa), M(&fespace),
-     M_solver(fes.GetComm()), T_solver(fes.GetComm()), z(height)
+ConductionOperator::ConductionOperator(ParFiniteElementSpace &f, double al,
+                                       double kap, const Vector &u)
+   : TimeDependentOperator(f.GetTrueVSize(), 0.0), fespace(f), M(NULL), K(NULL),
+     T(NULL),
+     M_solver(f.GetComm()), T_solver(f.GetComm()), z(height)
 {
-   // specify a relative tolerance for all solves with MFEM integrators
-   const real_t rel_tol = 1e-8;
+   const double rel_tol = 1e-8;
 
-   M.AddDomainIntegrator(new MassIntegrator());
-   M.Assemble(0); // keep zeros to keep sparsity pattern of M and K the same
-   M.FormSystemMatrix(ess_tdof_list, Mmat);
+   M = new ParBilinearForm(&fespace);
+   M->AddDomainIntegrator(new MassIntegrator());
+   M->Assemble(0); // keep sparsity pattern of M and K the same
+   M->FormSystemMatrix(ess_tdof_list, Mmat);
 
    M_solver.iterative_mode = false;
-   M_solver.SetRelTol(rel_tol); // will be overwritten with SUNDIALS integrators
+   M_solver.SetRelTol(rel_tol);
    M_solver.SetAbsTol(0.0);
    M_solver.SetMaxIter(100);
    M_solver.SetPrintLevel(0);
@@ -518,118 +442,97 @@ ConductionOperator::ConductionOperator(ParFiniteElementSpace &fes,
    M_solver.SetPreconditioner(M_prec);
    M_solver.SetOperator(Mmat);
 
+   alpha = al;
+   kappa = kap;
+
    T_solver.iterative_mode = false;
-   T_solver.SetRelTol(rel_tol); // will be overwritten with SUNDIALS integrators
+   T_solver.SetRelTol(rel_tol);
    T_solver.SetAbsTol(0.0);
    T_solver.SetMaxIter(100);
    T_solver.SetPrintLevel(0);
    T_solver.SetPreconditioner(T_prec);
 
-   SetConductionTensor(u);
+   SetParameters(u);
 }
 
-void ConductionOperator::SetConductionTensor(const Vector &u)
+void ConductionOperator::Mult(const Vector &u, Vector &du_dt) const
+{
+   // Compute:
+   //    du_dt = M^{-1}*-K(u)
+   // for du_dt
+   Kmat.Mult(u, z);
+   z.Neg(); // z = -z
+   M_solver.Mult(z, du_dt);
+}
+
+void ConductionOperator::ImplicitSolve(const double dt,
+                                       const Vector &u, Vector &du_dt)
+{
+   // Solve the equation:
+   //    du_dt = M^{-1}*[-K(u + dt*du_dt)]
+   // for du_dt
+   if (T) { delete T; }
+   T = Add(1.0, Mmat, dt, Kmat);
+   T_solver.SetOperator(*T);
+   Kmat.Mult(u, z);
+   z.Neg();
+   T_solver.Mult(z, du_dt);
+}
+
+int ConductionOperator::SUNImplicitSetup(const Vector &x,
+                                         const Vector &fx, int jok, int *jcur,
+                                         double gamma)
+{
+   // Setup the ODE Jacobian T = M + gamma K.
+   if (T) { delete T; }
+   T = Add(1.0, Mmat, gamma, Kmat);
+   T_solver.SetOperator(*T);
+   *jcur = 1;
+   return (0);
+}
+
+int ConductionOperator::SUNImplicitSolve(const Vector &b, Vector &x, double tol)
+{
+   // Solve the system A x = z => (M - gamma K) x = M b.
+   Mmat.Mult(b, z);
+   T_solver.Mult(z, x);
+   return (0);
+}
+
+void ConductionOperator::SetParameters(const Vector &u)
 {
-   // Compute K(u_n).
    ParGridFunction u_alpha_gf(&fespace);
    u_alpha_gf.SetFromTrueDofs(u);
    for (int i = 0; i < u_alpha_gf.Size(); i++)
    {
       u_alpha_gf(i) = kappa + alpha*u_alpha_gf(i);
    }
+
+   delete K;
+   K = new ParBilinearForm(&fespace);
+
    GridFunctionCoefficient u_coeff(&u_alpha_gf);
 
-   K = std::make_unique<ParBilinearForm>(&fespace);
    K->AddDomainIntegrator(new DiffusionIntegrator(u_coeff));
-   K->Assemble(0); // keep zeros to keep sparsity pattern of M and K the same
+   K->Assemble(0); // keep sparsity pattern of M and K the same
    K->FormSystemMatrix(ess_tdof_list, Kmat);
 }
 
-void ConductionOperator::ExplicitMult(const Vector &u, Vector &v) const
+ConductionOperator::~ConductionOperator()
 {
-   // Compute - K(u_n) u.
-   Kmat.Mult(u, v);
-   v.Neg();
+   delete T;
+   delete M;
+   delete K;
 }
 
-void ConductionOperator::Mult(const Vector &u, Vector &k) const
+double InitialTemperature(const Vector &x)
 {
-   // Compute - inv(M) K(u_n) u.
-   ExplicitMult(u, z);
-   M_solver.Mult(z, k);
-}
-
-void ConductionOperator::ImplicitSolve(const real_t gam, const Vector &u,
-                                       Vector &k)
-{
-   // Solve for k in M k = - K(u_n) [u + gam*k].
-   ExplicitMult(u, z);
-   T = std::unique_ptr<HypreParMatrix>(Add(1.0, Mmat, gam, Kmat));
-   T_solver.SetOperator(*T);
-   T_solver.Mult(z, k);
-}
-
-int ConductionOperator::SUNImplicitSetup(const Vector &u, const Vector &fu,
-                                         int jok, int *jcur, real_t gam)
-{
-   // Compute T = M + gamma K(u_n).
-   T = std::unique_ptr<HypreParMatrix>(Add(1.0, Mmat, gam, Kmat));
-   T_solver.SetOperator(*T);
-   *jcur = SUNTRUE; // this should eventually only be set true if K(u) is used
-   return SUNLS_SUCCESS;
-}
-
-int ConductionOperator::SUNImplicitSolve(const Vector &r, Vector &dk,
-                                         real_t tol)
-{
-   // Solve the system [M + gamma K(u_n)] dk = - K(u_n) u - M k.
-   // What value r is providing depends on the ODE expression form:
-   //   EXPLICIT form: r = -inv(M) K(u_n) u - k
-   //   IMPLICIT form: r = -K(u_n) u - M k
-   T_solver.SetRelTol(tol);
-   if (isExplicit())
+   if (x.Norml2() < 0.5)
    {
-      Mmat.Mult(r, z);
-      T_solver.Mult(z, dk);
+      return 2.0;
    }
    else
    {
-      T_solver.Mult(r, dk);
-   }
-   if (T_solver.GetConverged())
-   {
-      return SUNLS_SUCCESS;
-   }
-   else
-   {
-      return SUNLS_CONV_FAIL;
+      return 1.0;
    }
 }
-
-int ConductionOperator::SUNMassSetup()
-{
-   // Do nothing b/c mass solver was setup in constructor.
-   return SUNLS_SUCCESS;
-}
-
-int ConductionOperator::SUNMassSolve(const Vector &b, Vector &x, real_t tol)
-{
-   // Solve the system M x = b.
-   M_solver.SetRelTol(tol);
-   M_solver.Mult(b, x);
-   if (M_solver.GetConverged())
-   {
-      return SUNLS_SUCCESS;
-   }
-   else
-   {
-      return SUNLS_CONV_FAIL;
-   }
-}
-
-int ConductionOperator::SUNMassMult(const Vector &x, Vector &v)
-{
-   // Compute M x.
-   Mmat.Mult(x, v);
-   return SUNLS_SUCCESS;
-}

examples/sundials/ex9.cpp

@@ -1,9 +1,7 @@
 //                                MFEM Example 9
 //                             SUNDIALS Modification
 //
-// Compile with:
-//    make ex9              (GNU make)
-//    make sundials_ex9     (CMake)
+// Compile with: make ex9
 //
 // Sample runs:
 //    ex9 -m ../../data/periodic-segment.mesh -p 0 -r 2 -s 7 -dt 0.005

examples/sundials/ex9p.cpp

@@ -1,9 +1,7 @@
 //                       MFEM Example 9 - Parallel Version
 //                             SUNDIALS Modification
 //
-// Compile with:
-//    make ex9p             (GNU make)
-//    make sundials_ex9p    (CMake)
+// Compile with: make ex9p
 //
 // Sample runs:
 //    mpirun -np 4 ex9p -m ../../data/periodic-segment.mesh -p 1 -rp 1 -s 7 -dt 0.0025

examples/sundials/makefile

@@ -12,10 +12,11 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
-MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/sundials/,)
-CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
-   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
+CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
+# Use the MFEM install directory
+# MFEM_INSTALL_DIR = ../../mfem
+# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)
@@ -99,12 +100,6 @@ ex10-test-seq: ex10
 	@$(call mfem-test,$<,, $(SERIAL_NAME),$(EX10_ARGS))
 ex10p-test-par: ex10p
 	@$(call mfem-test,$<, $(RUN_MPI), $(PARALLEL_NAME),$(EX10P_ARGS))
-# Example 16: test ARKODE with implicit time stepping using mass form
-EX16_COMMON_ARGS := -s 15
-ex16-test-seq: ex16
-	@$(call mfem-test,$<,, $(SERIAL_NAME),$(EX16_COMMON_ARGS))
-ex16p-test-par: ex16p
-	@$(call mfem-test,$<, $(RUN_MPI), $(PARALLEL_NAME),$(EX16_COMMON_ARGS))
 
 # Testing: "test" target and mfem-test* variables are defined in config/test.mk
 

examples/superlu/makefile

@@ -12,10 +12,11 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
-MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/superlu/,)
-CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
-   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
+CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
+# Use the MFEM install directory
+# MFEM_INSTALL_DIR = ../../mfem
+# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/test_dfem_dual.cpp

@@ -1,305 +0,0 @@
-#include "dfem/dfem_refactor.hpp"
-#include "linalg/hypre.hpp"
-
-using namespace mfem;
-using mfem::internal::tensor;
-using mfem::internal::dual;
-
-int test_diffusion_integrator(std::string mesh_file,
-                              int refinements,
-                              int polynomial_order)
-{
-   Mesh mesh_serial = Mesh(mesh_file);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   const int dim = mesh.Dimension();
-   mesh_serial.Clear();
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec);
-
-   const IntegrationRule &ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder());
-
-   ParGridFunction f1_g(&h1fes);
-   ParGridFunction rho_g(&h1fes);
-
-   auto rho_f = [](const Vector &coords)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      return x + y;
-   };
-
-   FunctionCoefficient rho_c(rho_f);
-   rho_g.ProjectCoefficient(rho_c);
-
-   auto kernel = [](const tensor<dual<double, double>, 2> &grad_u,
-                    const dual<double, double> &rho,
-                    const tensor<double, 2, 2> &J,
-                    const double &w)
-   {
-      auto invJ = inv(J);
-      return std::tuple{rho*rho * grad_u * invJ * transpose(invJ) * det(J) * w};
-   };
-
-   std::tuple argument_operators = {Gradient{"potential"}, Value{"density"}, Gradient{"coordinates"}, Weight{"integration_weights"}};
-   std::tuple output_operator = {Gradient{"potential"}};
-
-   ElementOperator eop = {kernel, argument_operators, output_operator};
-   auto ops = std::tuple{eop};
-
-   auto solutions = std::array{FieldDescriptor{&h1fes, "potential"}};
-   auto parameters = std::array
-   {
-      FieldDescriptor{&h1fes, "density"},
-      FieldDescriptor{&mesh_fes, "coordinates"}
-   };
-
-   DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-   auto f1 = [](const Vector &coords)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      return 2.345 + 0.25 * x*x*y + y*y*x;
-   };
-
-   FunctionCoefficient f1_c(f1);
-   f1_g.ProjectCoefficient(f1_c);
-
-   Vector x(f1_g), y(h1fes.TrueVSize());
-   dop.SetParameters({&rho_g, mesh_nodes});
-   dop.Mult(x, y);
-
-   ParBilinearForm a(&h1fes);
-   TransformedCoefficient rho_c2(&rho_c, [](double c) {return c*c;});
-   a.AddDomainIntegrator(new DiffusionIntegrator(rho_c2));
-   a.Assemble();
-   a.Finalize();
-
-   Vector y2(h1fes.TrueVSize());
-   a.Mult(x, y2);
-   y2 -= y;
-   if (y2.Norml2() > 1e-10)
-   {
-      out << "||F(u) - ex||_l2 = " << y2.Norml2() << "\n";
-      return 1;
-   }
-
-   // Test linearization here as well
-   auto dFdu = dop.GetDerivativeWrt<0>({&f1_g}, {&rho_g, mesh_nodes});
-
-   // HypreParMatrix A;
-   // dFdu->Assemble(A);
-
-   if (dFdu->Height() != h1fes.GetTrueVSize())
-   {
-      out << "dFdu unexpected height of " << dFdu->Height() << "\n";
-      return 1;
-   }
-
-   dFdu->Mult(x, y);
-   a.Mult(x, y2);
-   y2 -= y;
-   if (y2.Norml2() > 1e-10)
-   {
-      out << "||dFdu u^* - ex||_l2 = " << y2.Norml2() << "\n";
-      return 1;
-   }
-
-   // fd jacobian test
-   {
-      double eps = 1.0e-6;
-      Vector v(x), xpv(x), xmv(x), fxpv(x.Size()), fxmv(x.Size());
-      v *= eps;
-      xpv += v;
-      xmv -= v;
-      dop.Mult(xpv, fxpv);
-      dop.Mult(xmv, fxmv);
-      fxpv -= fxmv;
-      fxpv /= (2.0*eps);
-
-      fxpv -= y;
-      if (fxpv.Norml2() > eps)
-      {
-         out << "||dFdu_FD u^* - ex||_l2 = " << fxpv.Norml2() << "\n";
-         return 1;
-      }
-   }
-
-   f1_g.ProjectCoefficient(f1_c);
-   rho_g.ProjectCoefficient(rho_c);
-   auto dFdrho = dop.GetDerivativeWrt<1>({&f1_g}, {&rho_g, mesh_nodes});
-   if (dFdrho->Height() != h1fes.GetTrueVSize())
-   {
-      out << "dFdrho unexpected height of " << dFdrho->Height() << "\n";
-      return 1;
-   }
-
-   dFdrho->Mult(rho_g, y);
-
-   // fd test
-   {
-      double eps = 1.0e-6;
-      Vector v(rho_g), rhopv(rho_g), rhomv(rho_g), frhopv(x.Size()), frhomv(x.Size());
-      v *= eps;
-      rhopv += v;
-      rhomv -= v;
-      dop.SetParameters({&rhopv, mesh_nodes});
-      dop.Mult(x, frhopv);
-      dop.SetParameters({&rhomv, mesh_nodes});
-      dop.Mult(x, frhomv);
-      frhopv -= frhomv;
-      frhopv /= (2.0*eps);
-
-      frhopv -= y;
-      if (frhopv.Norml2() > eps)
-      {
-         out << "||dFdu_FD u^* - ex||_l2 = " << frhopv.Norml2() << "\n";
-         return 1;
-      }
-   }
-
-   return 0;
-}
-
-int test_qoi(std::string mesh_file,
-             int refinements,
-             int polynomial_order)
-{
-   Mesh mesh_serial = Mesh(mesh_file);
-   for (int i = 0; i < refinements; i++)
-   {
-      mesh_serial.UniformRefinement();
-   }
-   ParMesh mesh(MPI_COMM_WORLD, mesh_serial);
-
-   mesh.SetCurvature(1);
-   const int dim = mesh.Dimension();
-   mesh_serial.Clear();
-
-   ParGridFunction* mesh_nodes = static_cast<ParGridFunction *>(mesh.GetNodes());
-   ParFiniteElementSpace &mesh_fes = *mesh_nodes->ParFESpace();
-
-   H1_FECollection h1fec(polynomial_order, dim);
-   ParFiniteElementSpace h1fes(&mesh, &h1fec, dim);
-
-   const IntegrationRule &ir =
-      IntRules.Get(h1fes.GetFE(0)->GetGeomType(), 2 * h1fec.GetOrder());
-
-   ParGridFunction rho_g(&h1fes);
-
-   auto rho_f = [](const Vector &coords, Vector &u)
-   {
-      const double x = coords(0);
-      const double y = coords(1);
-      u(0) = x + y;
-      u(1) = x + y;
-   };
-
-   VectorFunctionCoefficient rho_c(dim, rho_f);
-   rho_g.ProjectCoefficient(rho_c);
-
-   auto kernel = [](const tensor<dual<double, double>, 2> &rho,
-                    const tensor<dual<double, double>, 2, 2> &drhodxi,
-                    const tensor<double, 2, 2> &J,
-                    const double &w)
-   {
-      const double eps = 1.2345;
-      const auto drhodx = drhodxi * inv(J);
-      return std::tuple{(0.5 * eps * dot(rho, rho) + ddot(drhodx, drhodx)) * det(J) * w};
-   };
-
-   std::tuple argument_operators = {Value{"density"}, Gradient{"density"}, Gradient{"coordinates"}, Weight{"integration_weights"}};
-   std::tuple output_operator = {One{"density"}};
-
-   ElementOperator eop = {kernel, argument_operators, output_operator};
-   auto ops = std::tuple{eop};
-
-   auto solutions = std::array{FieldDescriptor{&h1fes, "density"}};
-   auto parameters = std::array{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop(solutions, parameters, ops, mesh, ir);
-
-   Vector x(rho_g), y(1);
-   dop.SetParameters({mesh_nodes});
-   dop.Mult(x, y);
-
-   // print_vector(y);
-
-   auto dFdrho = dop.GetDerivativeWrt<0>({&rho_g}, {mesh_nodes});
-   // Vector dFdrho_vec;
-   // dFdrho->Assemble(dFdrho_vec);
-
-   // print_vector(dFdrho_vec);
-
-   // fd jacobian test
-   {
-      double eps = 1.0e-8;
-      Vector v(x), fxpv(1), fxmv(1), dfdx(x.Size());
-      for (int i = 0; i < x.Size(); i++)
-      {
-         v(i) += eps;
-         dop.Mult(v, fxpv);
-         v(i) -= 2.0 * eps;
-         dop.Mult(v, fxmv);
-         fxpv -= fxmv;
-         fxpv /= (2.0*eps);
-         dfdx(i) = fxpv(0);
-      }
-
-      // print_vector(dfdx);
-      dfdx -= dFdrho_vec;
-      if (dfdx.Norml2() > 1e-6)
-      {
-         out << "||dFdu_FD u^* - ex||_l2 = " << dfdx.Norml2() << "\n";
-         return 1;
-      }
-   }
-
-   return 0;
-}
-
-int main(int argc, char *argv[])
-{
-   Mpi::Init();
-
-   std::cout << std::setprecision(9);
-
-   const char *mesh_file = "../data/star.mesh";
-   int polynomial_order = 1;
-   int ir_order = 2;
-   int refinements = 0;
-
-   OptionsParser args(argc, argv);
-   args.AddOption(&mesh_file, "-m", "--mesh", "Mesh file to use.");
-   args.AddOption(&polynomial_order, "-o", "--order", "");
-   args.AddOption(&refinements, "-r", "--r", "");
-   args.AddOption(&ir_order, "-iro", "--iro", "");
-   args.ParseCheck();
-
-   out << std::setprecision(12);
-
-   int ret;
-
-   ret = test_diffusion_integrator(mesh_file,
-                                   refinements,
-                                   polynomial_order);
-   out << "test_diffusion_integrator";
-   ret ? out << " FAILURE\n" : out << " OK\n";
-
-   ret = test_qoi(mesh_file, refinements, polynomial_order);
-   out << "test_qoi";
-   ret ? out << " FAILURE\n" : out << " OK\n";
-
-   return 0;
-}

fem/bilinearform.cpp

@@ -280,7 +280,7 @@ void BilinearForm::AddBdrFaceIntegrator(BilinearFormIntegrator *bfi,
    boundary_face_integs_marker.Append(&bdr_marker);
 }
 
-void BilinearForm::ComputeElementMatrix(int i, DenseMatrix &elmat) const
+void BilinearForm::ComputeElementMatrix(int i, DenseMatrix &elmat)
 {
    if (element_matrices)
    {
@@ -308,7 +308,7 @@ void BilinearForm::ComputeElementMatrix(int i, DenseMatrix &elmat) const
    }
 }
 
-void BilinearForm::ComputeBdrElementMatrix(int i, DenseMatrix &elmat) const
+void BilinearForm::ComputeBdrElementMatrix(int i, DenseMatrix &elmat)
 {
    if (boundary_integs.Size())
    {
@@ -329,79 +329,6 @@ void BilinearForm::ComputeBdrElementMatrix(int i, DenseMatrix &elmat) const
    }
 }
 
-void BilinearForm::ComputeFaceMatrix(int i, DenseMatrix &elmat) const
-{
-   FaceElementTransformations *tr;
-   Mesh *mesh = fes -> GetMesh();
-   tr = mesh -> GetFaceElementTransformations (i);
-
-   const FiniteElement *fe1, *fe2;
-   fe1 = fes->GetFE(tr->Elem1No);
-   if (tr->Elem2No >= 0)
-   {
-      fe2 = fes->GetFE(tr->Elem2No);
-   }
-   else
-   {
-      // The fe2 object is really a dummy and not used on the
-      // boundaries, but we can't dereference a NULL pointer, and we don't
-      // want to actually make a fake element.
-      fe2 = fe1;
-   }
-
-   if (interior_face_integs.Size())
-   {
-      interior_face_integs[0] -> AssembleFaceMatrix (*fe1, *fe2, *tr, elmat);
-      for (int k = 1; k < interior_face_integs.Size(); k++)
-      {
-         interior_face_integs[k] -> AssembleFaceMatrix (*fe1, *fe2, *tr, elemmat);
-         elmat += elemmat;
-      }
-   }
-   else
-   {
-      int ndof = fe1->GetDof() * fes->GetVDim();
-      if (tr->Elem2No >= 0)
-      {
-         ndof += fe2->GetDof() * fes->GetVDim();
-      }
-
-      elmat.SetSize(ndof);
-      elmat = 0.0;
-   }
-}
-
-void BilinearForm::ComputeBdrFaceMatrix(int i, DenseMatrix &elmat) const
-{
-   FaceElementTransformations *tr;
-   Mesh *mesh = fes -> GetMesh();
-   tr = mesh -> GetBdrFaceTransformations (i);
-
-   const FiniteElement *fe1, *fe2;
-
-   fe1 = fes -> GetFE (tr -> Elem1No);
-   // The fe2 object is really a dummy and not used on the boundaries,
-   // but we can't dereference a NULL pointer, and we don't want to
-   // actually make a fake element.
-   fe2 = fe1;
-
-   if (boundary_face_integs.Size())
-   {
-      boundary_face_integs[0] -> AssembleFaceMatrix (*fe1, *fe2, *tr, elmat);
-      for (int k = 1; k < boundary_face_integs.Size(); k++)
-      {
-         boundary_face_integs[k] -> AssembleFaceMatrix (*fe1, *fe2, *tr, elemmat);
-         elmat += elemmat;
-      }
-   }
-   else
-   {
-      int ndof = fe1->GetDof() * fes->GetVDim();
-      elmat.SetSize(ndof);
-      elmat = 0.0;
-   }
-}
-
 void BilinearForm::AssembleElementMatrix(
    int i, const DenseMatrix &elmat, int skip_zeros)
 {
@@ -1765,7 +1692,7 @@ void MixedBilinearForm::ConformingAssemble()
 }
 
 
-void MixedBilinearForm::ComputeElementMatrix(int i, DenseMatrix &elmat) const
+void MixedBilinearForm::ComputeElementMatrix(int i, DenseMatrix &elmat)
 {
    if (domain_integs.Size())
    {
@@ -1790,7 +1717,7 @@ void MixedBilinearForm::ComputeElementMatrix(int i, DenseMatrix &elmat) const
    }
 }
 
-void MixedBilinearForm::ComputeBdrElementMatrix(int i, DenseMatrix &elmat) const
+void MixedBilinearForm::ComputeBdrElementMatrix(int i, DenseMatrix &elmat)
 {
    if (boundary_integs.Size())
    {
@@ -1815,94 +1742,6 @@ void MixedBilinearForm::ComputeBdrElementMatrix(int i, DenseMatrix &elmat) const
    }
 }
 
-void MixedBilinearForm::ComputeTraceFaceMatrix(int i, DenseMatrix &elmat) const
-{
-   FaceElementTransformations *ftr;
-   Mesh *mesh = test_fes -> GetMesh();
-   ftr = mesh->GetFaceElementTransformations(i);
-   MFEM_ASSERT(ftr, "No associated face transformation.");
-
-   const FiniteElement *trial_face_fe, *test_fe1, *test_fe2;
-
-   trial_face_fe = trial_fes->GetFaceElement(i);
-   test_fe1 = test_fes->GetFE(ftr->Elem1No);
-   if (ftr->Elem2No >= 0)
-   {
-      test_fe2 = test_fes->GetFE(ftr->Elem2No);
-   }
-   else
-   {
-      // The test_fe2 object is really a dummy and not used on the
-      // boundaries, but we can't dereference a NULL pointer, and we don't
-      // want to actually make a fake element.
-      test_fe2 = test_fe1;
-   }
-
-   if (trace_face_integs.Size())
-   {
-      trace_face_integs[0]->AssembleFaceMatrix(*trial_face_fe, *test_fe1, *test_fe2,
-                                               *ftr, elmat);
-      for (int k = 1; k < trace_face_integs.Size(); k++)
-      {
-         trace_face_integs[k]->AssembleFaceMatrix(*trial_face_fe, *test_fe1, *test_fe2,
-                                                  *ftr, elemmat);
-         elmat += elemmat;
-      }
-   }
-   else
-   {
-      const int tr_face_dofs = trial_face_fe->GetDof() * trial_fes->GetVDim();
-      int te_dofs = test_fe1->GetDof() * test_fes->GetVDim();
-      if (ftr->Elem2No >= 0)
-      {
-         te_dofs += test_fe2->GetDof() * test_fes->GetVDim();
-      }
-
-      elmat.SetSize(te_dofs, tr_face_dofs);
-      elmat = 0.0;
-   }
-}
-
-void MixedBilinearForm::ComputeBdrTraceFaceMatrix(int i,
-                                                  DenseMatrix &elmat) const
-{
-   FaceElementTransformations *ftr;
-   Mesh *mesh = test_fes -> GetMesh();
-   ftr = mesh->GetBdrFaceTransformations(i);
-   MFEM_ASSERT(ftr, "No associated boundary face.");
-
-   const FiniteElement *trial_face_fe, *test_fe1, *test_fe2;
-   int iface = mesh->GetBdrElementFaceIndex(i);
-   trial_face_fe = trial_fes->GetFaceElement(iface);
-   test_fe1 = test_fes->GetFE(ftr->Elem1No);
-   // The test_fe2 object is really a dummy and not used on the
-   // boundaries, but we can't dereference a NULL pointer, and we don't
-   // want to actually make a fake element.
-   test_fe2 = test_fe1;
-
-   if (boundary_trace_face_integs.Size())
-   {
-      boundary_trace_face_integs[0]->AssembleFaceMatrix(*trial_face_fe, *test_fe1,
-                                                        *test_fe2,
-                                                        *ftr, elmat);
-      for (int k = 1; k < boundary_trace_face_integs.Size(); k++)
-      {
-         boundary_trace_face_integs[k]->AssembleFaceMatrix(*trial_face_fe, *test_fe1,
-                                                           *test_fe2,
-                                                           *ftr, elemmat);
-         elmat += elemmat;
-      }
-   }
-   else
-   {
-      const int tr_face_dofs = trial_face_fe->GetDof() * trial_fes->GetVDim();
-      int te_dofs = test_fe1->GetDof() * test_fes->GetVDim();
-
-      elmat.SetSize(te_dofs, tr_face_dofs);
-      elmat = 0.0;
-   }
-}
-
 void MixedBilinearForm::AssembleElementMatrix(
    int i, const DenseMatrix &elmat, int skip_zeros)
 {

fem/bilinearform.hpp

@@ -119,8 +119,8 @@ protected:
    Array<BilinearFormIntegrator*> boundary_face_integs;
    Array<Array<int>*> boundary_face_integs_marker; ///< Entries are not owned.
 
-   mutable DenseMatrix elemmat;
-   mutable Array<int>  vdofs;
+   DenseMatrix elemmat;
+   Array<int>  vdofs;
 
    DenseTensor *element_matrices; ///< Owned.
 
@@ -580,18 +580,10 @@ public:
        or the one stored internally by a prior call of ComputeElementMatrices()
        is returned when available.
    */
-   void ComputeElementMatrix(int i, DenseMatrix &elmat) const;
+   void ComputeElementMatrix(int i, DenseMatrix &elmat);
 
    /// Compute the boundary element matrix of the given boundary element
-   /** @note The boundary attribute markers of the integrators are ignored. */
-   void ComputeBdrElementMatrix(int i, DenseMatrix &elmat) const;
-
-   /// Compute the face matrix of the given face element
-   void ComputeFaceMatrix(int i, DenseMatrix &elmat) const;
-
-   /// Compute the boundary face matrix of the given boundary element
-   /** @note The boundary attribute markers of the integrators are ignored. */
-   void ComputeBdrFaceMatrix(int i, DenseMatrix &elmat) const;
+   void ComputeBdrElementMatrix(int i, DenseMatrix &elmat);
 
    /// Assemble the given element matrix
    /** The element matrix @a elmat is assembled for the element @a i, i.e.
@@ -779,8 +771,8 @@ protected:
    /// Entries are not owned.
    Array<Array<int>*> boundary_trace_face_integs_marker;
 
-   mutable DenseMatrix elemmat;
-   mutable Array<int>  trial_vdofs, test_vdofs;
+   DenseMatrix elemmat;
+   Array<int>  trial_vdofs, test_vdofs;
 
 private:
    /// Copy construction is not supported; body is undefined.
@@ -952,18 +944,10 @@ public:
    void ConformingAssemble();
 
    /// Compute the element matrix of the given element
-   void ComputeElementMatrix(int i, DenseMatrix &elmat) const;
+   void ComputeElementMatrix(int i, DenseMatrix &elmat);
 
    /// Compute the boundary element matrix of the given boundary element
-   /** @note The boundary attribute markers of the integrators are ignored. */
-   void ComputeBdrElementMatrix(int i, DenseMatrix &elmat) const;
-
-   /// Compute the trace face matrix of the given face element
-   void ComputeTraceFaceMatrix(int i, DenseMatrix &elmat) const;
-
-   /// Compute the boundary trace face matrix of the given boundary element
-   /** @note The boundary attribute markers of the integrators are ignored. */
-   void ComputeBdrTraceFaceMatrix(int i, DenseMatrix &elmat) const;
+   void ComputeBdrElementMatrix(int i, DenseMatrix &elmat);
 
    /// Assemble the given element matrix
    /** The element matrix @a elmat is assembled for the element @a i, i.e.

fem/bilininteg.cpp

@@ -1222,8 +1222,7 @@ real_t DiffusionIntegrator::ComputeFluxEnergy
    for (int i = 0; i < ir->GetNPoints(); i++)
    {
       const IntegrationPoint &ip = ir->IntPoint(i);
-      Trans.SetIntPoint(&ip);
-      fluxelem.CalcPhysShape(Trans, shape);
+      fluxelem.CalcShape(ip, shape);
 
       pointflux = 0.0;
       for (int k = 0; k < spaceDim; k++)
@@ -1234,6 +1233,7 @@ real_t DiffusionIntegrator::ComputeFluxEnergy
          }
       }
 
+      Trans.SetIntPoint(&ip);
       real_t w = Trans.Weight() * ip.weight;
 
       if (MQ)
@@ -1410,7 +1410,9 @@ void BoundaryMassIntegrator::AssembleFaceMatrix(
       // Set the integration point in the face and the neighboring element
       Trans.SetAllIntPoints(&ip);
 
-      el1.CalcPhysShape(*Trans.Elem1, shape);
+      // Access the neighboring element's integration point
+      const IntegrationPoint &eip = Trans.GetElement1IntPoint();
+      el1.CalcShape(eip, shape);
 
       w = Trans.Weight() * ip.weight;
       if (Q)
@@ -1537,6 +1539,351 @@ const IntegrationRule &ConvectionIntegrator::GetRule(
    return GetRule(el,el,Trans);
 }
 
+
+void LaplaceIntegrator::AssembleElementMatrix(const FiniteElement &el,
+                                              ElementTransformation &Trans,
+                                              DenseMatrix &elmat )
+{
+   int nd = el.GetDof();
+   real_t w;
+
+   elmat.SetSize(nd);
+   shape.SetSize(nd);
+   laplace.SetSize(nd);
+
+   const IntegrationRule *ir = IntRule ? IntRule : &GetRule(el, el, Trans);
+
+   elmat = 0.0;
+   for (int i = 0; i < ir->GetNPoints(); i++)
+   {
+      const IntegrationPoint &ip = ir->IntPoint(i);
+      Trans.SetIntPoint (&ip);
+
+      el.CalcPhysShape(Trans, shape);
+      el.CalcPhysLaplacian(Trans, laplace);
+
+      w = Trans.Weight() * ip.weight * alpha;
+      if (Q)
+      {
+         w *= Q -> Eval(Trans, ip);
+      }
+      shape *= w;
+      AddMultVWt(shape, laplace, elmat);
+   }
+}
+
+void LaplaceIntegrator::AssembleElementMatrix2(const FiniteElement &trial_fe,
+                                               const FiniteElement &test_fe,
+                                               ElementTransformation &Trans,
+                                               DenseMatrix &elmat)
+{
+   int tr_nd = trial_fe.GetDof();
+   int te_nd = test_fe.GetDof();
+
+   elmat.SetSize(te_nd, tr_nd);
+   laplace.SetSize(tr_nd);
+   shape.SetSize(te_nd);
+
+   const IntegrationRule *ir = IntRule ? IntRule : &GetRule(trial_fe, test_fe,
+                                                            Trans);
+
+   elmat = 0.0;
+   for (int i = 0; i < ir->GetNPoints(); i++)
+   {
+      const IntegrationPoint &ip = ir->IntPoint(i);
+      Trans.SetIntPoint (&ip);
+
+      test_fe.CalcPhysShape(Trans, shape);
+      trial_fe.CalcPhysLaplacian(Trans, laplace);
+
+      real_t w = Trans.Weight() * ip.weight * alpha;
+      if (Q)
+      {
+         w *= Q -> Eval(Trans, ip);
+      }
+      AddMult_a_VWt(w, shape, laplace, elmat);
+   }
+}
+
+const IntegrationRule &LaplaceIntegrator::GetRule(
+   const FiniteElement &trial_fe,
+   const FiniteElement &test_fe,
+   ElementTransformation &Trans)
+{
+   int order = trial_fe.GetOrder() + test_fe.GetOrder();
+   return IntRules.Get(trial_fe.GetGeomType(), order);
+}
+
+void LaplaceGradIntegrator::AssembleElementMatrix(const FiniteElement &el,
+                                                  ElementTransformation &Trans,
+                                                  DenseMatrix &elmat )
+{
+   int nd = el.GetDof();
+   dim = el.GetDim();
+
+   elmat.SetSize(nd);
+   dshape.SetSize(nd,dim);
+   adjJ.SetSize(dim);
+   laplace.SetSize(nd);
+   vec2.SetSize(dim);
+   BdFidxT.SetSize(nd);
+
+   Vector vec1;
+
+   const IntegrationRule *ir = IntRule ? IntRule : &GetRule(el, el, Trans);
+
+   Q->Eval(Q_ir, Trans, *ir);
+
+   elmat = 0.0;
+   for (int i = 0; i < ir->GetNPoints(); i++)
+   {
+      const IntegrationPoint &ip = ir->IntPoint(i);
+      el.CalcDShape(ip, dshape);
+      el.CalcPhysLaplacian(Trans, laplace);
+
+      Trans.SetIntPoint(&ip);
+      CalcAdjugate(Trans.Jacobian(), adjJ);
+      Q_ir.GetColumnReference(i, vec1);
+      vec1 *= alpha * ip.weight;
+
+      adjJ.Mult(vec1, vec2);
+      dshape.Mult(vec2, BdFidxT);
+
+      AddMultVWt(BdFidxT, laplace, elmat);
+   }
+}
+
+void LaplaceGradIntegrator::AssembleElementMatrix2(const FiniteElement
+                                                   &trial_fe,
+                                                   const FiniteElement &test_fe,
+                                                   ElementTransformation &Trans,
+                                                   DenseMatrix &elmat)
+{
+   dim = trial_fe.GetDim();
+   int tr_nd = trial_fe.GetDof();
+   int te_nd = test_fe.GetDof();
+
+   elmat.SetSize(te_nd, tr_nd);
+   laplace.SetSize(tr_nd);
+   dshape.SetSize(te_nd,dim);
+   adjJ.SetSize(dim);
+   vec2.SetSize(dim);
+   BdFidxT.SetSize(te_nd);
+
+   Vector vec1;
+
+   const IntegrationRule *ir = IntRule ? IntRule : &GetRule(trial_fe, test_fe,
+                                                            Trans);
+
+   Q->Eval(Q_ir, Trans, *ir);
+
+   elmat = 0.0;
+   for (int i = 0; i < ir->GetNPoints(); i++)
+   {
+      const IntegrationPoint &ip = ir->IntPoint(i);
+      test_fe.CalcDShape(ip, dshape);
+      trial_fe.CalcPhysLaplacian(Trans, laplace);
+
+      Trans.SetIntPoint(&ip);
+      CalcAdjugate(Trans.Jacobian(), adjJ);
+      Q_ir.GetColumnReference(i, vec1);
+      vec1 *= alpha * ip.weight;
+
+      adjJ.Mult(vec1, vec2);
+      dshape.Mult(vec2, BdFidxT);
+
+      AddMultVWt(BdFidxT, laplace,elmat);
+   }
+}
+
+const IntegrationRule &LaplaceGradIntegrator::GetRule(
+   const FiniteElement &trial_fe,
+   const FiniteElement &test_fe,
+   ElementTransformation &Trans)
+{
+   int order = trial_fe.GetOrder() + test_fe.GetOrder();
+   return IntRules.Get(trial_fe.GetGeomType(), order);
+}
+
+void LaplaceLaplaceIntegrator::AssembleElementMatrix(const FiniteElement &el,
+                                                     ElementTransformation &Trans,
+                                                     DenseMatrix &elmat )
+{
+   int nd = el.GetDof();
+   real_t w;
+
+   elmat.SetSize(nd);
+   laplace.SetSize(nd);
+
+   const IntegrationRule *ir = IntRule ? IntRule : &GetRule(el, el, Trans);
+
+   elmat = 0.0;
+   for (int i = 0; i < ir->GetNPoints(); i++)
+   {
+      const IntegrationPoint &ip = ir->IntPoint(i);
+      Trans.SetIntPoint (&ip);
+
+      el.CalcPhysLaplacian(Trans, laplace);
+
+      w = Trans.Weight() * ip.weight * alpha;
+      if (Q)
+      {
+         w *= Q -> Eval(Trans, ip);
+      }
+      AddMult_a_VVt(w, laplace, elmat);
+   }
+}
+
+void LaplaceLaplaceIntegrator::AssembleElementMatrix2(const FiniteElement
+                                                      &trial_fe,
+                                                      const FiniteElement &test_fe,
+                                                      ElementTransformation &Trans,
+                                                      DenseMatrix &elmat)
+{
+   int
+   dim = trial_fe.GetDim();
+   int tr_nd = trial_fe.GetDof();
+   int te_nd = test_fe.GetDof();
+   real_t w;
+
+   elmat.SetSize(te_nd, tr_nd);
+   laplace.SetSize(tr_nd);
+   te_laplace.SetSize(te_nd);
+
+   const IntegrationRule *ir = IntRule ? IntRule : &GetRule(trial_fe, test_fe,
+                                                            Trans);
+
+   elmat = 0.0;
+   for (int i = 0; i < ir->GetNPoints(); i++)
+   {
+      const IntegrationPoint &ip = ir->IntPoint(i);
+      Trans.SetIntPoint (&ip);
+
+      trial_fe.CalcPhysLaplacian(Trans, laplace);
+      test_fe.CalcPhysLaplacian(Trans, te_laplace);
+
+      w = Trans.Weight() * ip.weight * alpha;
+      if (Q)
+      {
+         w *= Q -> Eval(Trans, ip);
+      }
+      AddMult_a_VWt(w, te_laplace, laplace, elmat);
+   }
+}
+
+const IntegrationRule &LaplaceLaplaceIntegrator::GetRule(
+   const FiniteElement &trial_fe,
+   const FiniteElement &test_fe,
+   ElementTransformation &Trans)
+{
+   int order = trial_fe.GetOrder() + test_fe.GetOrder();
+   return IntRules.Get(trial_fe.GetGeomType(), order);
+}
+
+void InverseEstimateIntegrator::AssembleElementMatrix(const FiniteElement &el,
+                                                      ElementTransformation &Trans,
+                                                      DenseMatrix &elmat )
+{
+   elmat = 0.0;
+
+   int nd = el.GetDof();
+   int dim = el.GetDim();
+
+   shape.SetSize(nd);
+   dshape.SetSize(nd,dim);
+   laplace.SetSize(nd);
+
+   lapmat.SetSize(nd,nd);
+   bimat.SetSize(nd,nd);
+   ovec.SetSize(nd);
+
+   real_t w,q;
+
+   const IntegrationRule *ir = IntRule;
+   if (ir == NULL)
+   {
+      int order = Trans.OrderGrad(&el) + Trans.Order() + el.GetOrder();
+      ir = &IntRules.Get(el.GetGeomType(), order);
+   }
+
+   bimat = 0.0;
+   lapmat = 0.0;
+   ovec = 0.0;
+   for (int i = 0; i < ir->GetNPoints(); i++)
+   {
+      const IntegrationPoint &ip = ir->IntPoint(i);
+      Trans.SetIntPoint(&ip);
+      w = Trans.Weight()*ip.weight;
+      if (Q)
+      {
+         q = Q->Eval(Trans, ip);
+      }
+
+      el.CalcPhysDShape(Trans, dshape);
+      AddMult_a_AAt(w*q, dshape, lapmat);
+
+      el.CalcPhysLaplacian(Trans, laplace);
+      AddMult_a_VVt(w*q*q, laplace, bimat);
+
+      el.CalcPhysShape(Trans, shape);
+      ovec.Add(w, shape);
+   }
+
+   // Power method
+   Vector x(nd);
+   x.Randomize(696383532);
+
+   // Correct nullspace + inverse
+   AddMult_a_VVt(1.0, ovec, lapmat);
+   DenseMatrixInverse L_inv(lapmat);
+
+   // DenseMatrix M_i, Q_i;
+   real_t alpha= 0.0, eval_i = 0.0, eval_prev = 0.0;
+
+   // Inverse power method
+   Vector x_tmp(nd);
+   int iter = 0;
+   const real_t rel_tol = 1e-4;
+
+   alpha = ovec*ovec;
+   ovec *= 1.0/sqrt(alpha);
+   do
+   {
+      // Othogonalize
+      alpha = x*ovec;
+      x.Add(-alpha, ovec);
+
+      // MatVec (2x)
+      bimat.Mult(x, x_tmp);
+      L_inv.Mult(x_tmp, x);
+
+      eval_prev = eval_i;
+      eval_i = x.Norml2();
+      x *= 1.0/eval_i;
+      ++iter;
+   }
+   while ((iter < 10000) && (fabs(eval_i - eval_prev)/fabs(eval_i) > rel_tol));
+   MFEM_VERIFY(fabs(eval_i - eval_prev)/fabs(eval_i) <= rel_tol,
+               "Inverse power method did not converge."
+               << "\n\t iter      = " << iter
+               << "\n\t eval_i    = " << eval_i
+               << "\n\t eval_prev = " << eval_prev
+               << "\n\t fabs(eval_i - eval_prev)/fabs(eval_i) = "
+               << fabs(eval_i - eval_prev)/fabs(eval_i));
+   cout<<"evev = "<<eval_i<<" "<<iter<<endl;
+}
+
+const IntegrationRule &InverseEstimateIntegrator::GetRule(
+   const FiniteElement &trial_fe,
+   const FiniteElement &test_fe,
+   ElementTransformation &Trans)
+{
+   // int order = Trans.OrderGrad(&trial_fe) + Trans.Order() + test_fe.GetOrder() - 2;
+   int order = trial_fe.GetOrder() + test_fe.GetOrder();
+   return IntRules.Get(trial_fe.GetGeomType(), order);
+}
+
+
 void VectorMassIntegrator::AssembleElementMatrix
 ( const FiniteElement &el, ElementTransformation &Trans,
   DenseMatrix &elmat )
@@ -1580,9 +1927,9 @@ void VectorMassIntegrator::AssembleElementMatrix
    for (int s = 0; s < ir->GetNPoints(); s++)
    {
       const IntegrationPoint &ip = ir->IntPoint(s);
-      Trans.SetIntPoint (&ip);
-      el.CalcPhysShape(Trans, shape);
+      el.CalcShape(ip, shape);
 
+      Trans.SetIntPoint (&ip);
       norm = ip.weight * Trans.Weight();
 
       MultVVt(shape, partelmat);
@@ -1664,10 +2011,10 @@ void VectorMassIntegrator::AssembleElementMatrix2(
    for (int s = 0; s < ir->GetNPoints(); s++)
    {
       const IntegrationPoint &ip = ir->IntPoint(s);
-      Trans.SetIntPoint(&ip);
-      trial_fe.CalcPhysShape(Trans, shape);
-      test_fe.CalcPhysShape(Trans, te_shape);
+      trial_fe.CalcShape(ip, shape);
+      test_fe.CalcShape(ip, te_shape);
 
+      Trans.SetIntPoint(&ip);
       norm = ip.weight * Trans.Weight();
 
       MultVWt(te_shape, shape, partelmat);
@@ -1895,12 +2242,12 @@ void VectorFECurlIntegrator::AssembleElementMatrix2(
          if ( trial_fe.GetMapType() == mfem::FiniteElement::H_CURL )
          {
             trial_fe.CalcCurlShape(ip, curlshapeTrial_dFT);
-            test_fe.CalcPhysShape(Trans, shapeTest);
+            test_fe.CalcShape(ip, shapeTest);
          }
          else
          {
             test_fe.CalcCurlShape(ip, curlshapeTrial_dFT);
-            trial_fe.CalcPhysShape(Trans, shapeTest);
+            trial_fe.CalcShape(ip, shapeTest);
          }
       }
 
@@ -1923,89 +2270,6 @@ void VectorFECurlIntegrator::AssembleElementMatrix2(
    }
 }
 
-void VectorFEBoundaryFluxIntegrator::AssembleElementMatrix(
-   const FiniteElement &el, ElementTransformation &Tr,
-   DenseMatrix &elmat)
-{
-   int nd = el.GetDof();
-   real_t w;
-
-#ifdef MFEM_THREAD_SAFE
-   Vector shape;
-#endif
-   elmat.SetSize(nd);
-   shape.SetSize(nd);
-
-   const IntegrationRule *ir = IntRule;
-   if (ir == NULL)
-   {
-      int intorder = 2*el.GetOrder() + Tr.OrderW();  // <----------
-      ir = &IntRules.Get(el.GetGeomType(), intorder);
-   }
-
-   elmat = 0.0;
-   for (int i = 0; i < ir->GetNPoints(); i++)
-   {
-      const IntegrationPoint &ip = ir->IntPoint(i);
-      el.CalcShape(ip, shape);
-
-      Tr.SetIntPoint (&ip);
-      w = ip.weight / Tr.Weight();
-
-      if (Q)
-      {
-         w *= Q->Eval(Tr, ip);
-      }
-
-      AddMult_a_VVt(w, shape, elmat);
-   }
-}
-
-void VectorFEBoundaryFluxIntegrator::AssembleElementMatrix2(
-   const FiniteElement &trial_fe,
-   const FiniteElement &test_fe,
-   ElementTransformation &Tr,
-   DenseMatrix &elmat)
-{
-   int tr_nd = trial_fe.GetDof();
-   int te_nd = test_fe.GetDof();
-   real_t w;
-
-#ifdef MFEM_THREAD_SAFE
-   Vector shape, te_shape;
-#endif
-   elmat.SetSize(te_nd, tr_nd);
-   shape.SetSize(tr_nd);
-   te_shape.SetSize(te_nd);
-
-   const IntegrationRule *ir = IntRule;
-   if (ir == NULL)
-   {
-      int order = trial_fe.GetOrder() + test_fe.GetOrder() + Tr.OrderW();
-
-      ir = &IntRules.Get(trial_fe.GetGeomType(), order);
-   }
-
-   elmat = 0.0;
-   for (int i = 0; i < ir->GetNPoints(); i++)
-   {
-      const IntegrationPoint &ip = ir->IntPoint(i);
-      trial_fe.CalcShape(ip, shape);
-      test_fe.CalcShape(ip, te_shape);
-
-      Tr.SetIntPoint (&ip);
-      w = ip.weight / Tr.Weight();
-
-      if (Q)
-      {
-         w *= Q->Eval(Tr, ip);
-      }
-
-      te_shape *= w;
-      AddMultVWt(te_shape, shape, elmat);
-   }
-}
-
 void DerivativeIntegrator::AssembleElementMatrix2 (
    const FiniteElement &trial_fe,
    const FiniteElement &test_fe,
@@ -2062,7 +2326,7 @@ void DerivativeIntegrator::AssembleElementMatrix2 (
       det = Trans.Weight();
       Mult (dshape, invdfdx, dshapedxt);
 
-      test_fe.CalcPhysShape(Trans, shape);
+      test_fe.CalcShape(ip, shape);
 
       for (l = 0; l < trial_nd; l++)
       {
@@ -2647,7 +2911,7 @@ void VectorFEMassIntegrator::AssembleElementMatrix2(
          Trans.SetIntPoint (&ip);
 
          trial_fe.CalcVShape(Trans, trial_vshape);
-         test_fe.CalcPhysShape(Trans, shape);
+         test_fe.CalcShape(ip, shape);
 
          w = ip.weight * Trans.Weight();
          if (DQ)
@@ -2807,11 +3071,11 @@ void VectorDivergenceIntegrator::AssembleElementMatrix2(
    for (int i = 0; i < ir -> GetNPoints(); i++)
    {
       const IntegrationPoint &ip = ir->IntPoint(i);
-      Trans.SetIntPoint (&ip);
 
       trial_fe.CalcDShape (ip, dshape);
-      test_fe.CalcPhysShape (Trans, shape);
+      test_fe.CalcShape (ip, shape);
 
+      Trans.SetIntPoint (&ip);
       CalcAdjugate(Trans.Jacobian(), Jadj);
 
       Mult (dshape, Jadj, gshape);
@@ -3312,11 +3576,11 @@ real_t ElasticityIntegrator::ComputeFluxEnergy(const FiniteElement &fluxelem,
    for (int i = 0; i < ir->GetNPoints(); i++)
    {
       const IntegrationPoint &ip = ir->IntPoint(i);
-      Trans.SetIntPoint(&ip);
-      fluxelem.CalcPhysShape(Trans, shape);
+      fluxelem.CalcShape(ip, shape);
 
       flux_mat.MultTranspose(shape, pointstress);
 
+      Trans.SetIntPoint(&ip);
       real_t w = Trans.Weight() * ip.weight;
 
       M = mu->Eval(Trans, ip);
@@ -3423,7 +3687,7 @@ void DGTraceIntegrator::AssembleFaceMatrix(const FiniteElement &el1,
       const IntegrationPoint &eip1 = Trans.GetElement1IntPoint();
       const IntegrationPoint &eip2 = Trans.GetElement2IntPoint();
 
-      el1.CalcPhysShape(*Trans.Elem1, shape1);
+      el1.CalcShape(eip1, shape1);
 
       u->Eval(vu, *Trans.Elem1, eip1);
 
@@ -3470,7 +3734,7 @@ void DGTraceIntegrator::AssembleFaceMatrix(const FiniteElement &el1,
 
       if (ndof2)
       {
-         el2.CalcPhysShape(*Trans.Elem2, shape2);
+         el2.CalcShape(eip2, shape2);
 
          if (w != 0.0)
             for (int i = 0; i < ndof2; i++)
@@ -4020,14 +4284,19 @@ void TraceJumpIntegrator::AssembleFaceMatrix(
       // Set the integration point in the face and the neighboring elements
       Trans.SetAllIntPoints(&ip);
 
+      // Access the neighboring elements' integration points
+      // Note: eip2 will only contain valid data if Elem2 exists
+      const IntegrationPoint &eip1 = Trans.GetElement1IntPoint();
+      const IntegrationPoint &eip2 = Trans.GetElement2IntPoint();
+
       // Trace finite element shape function
       trial_face_fe.CalcShape(ip, face_shape);
       // Side 1 finite element shape function
-      test_fe1.CalcPhysShape(*Trans.Elem1, shape1);
+      test_fe1.CalcShape(eip1, shape1);
       if (ndof2)
       {
          // Side 2 finite element shape function
-         test_fe2.CalcPhysShape(*Trans.Elem2, shape2);
+         test_fe2.CalcShape(eip2, shape2);
       }
       w = ip.weight;
       if (trial_face_fe.GetMapType() == FiniteElement::VALUE)

fem/bilininteg.hpp

@@ -2450,6 +2450,135 @@ public:
                                       DenseMatrix &);
 };
 
+
+/// $\alpha (Q \Delta u, v)$
+class LaplaceIntegrator : public BilinearFormIntegrator
+{
+protected:
+   Coefficient *Q;
+   real_t alpha;
+
+private:
+   Vector laplace, shape;
+
+public:
+   LaplaceIntegrator(Coefficient &q, real_t a = 1.0)
+      : Q(&q) { alpha = a; }
+
+   virtual void AssembleElementMatrix(const FiniteElement &,
+                                      ElementTransformation &,
+                                      DenseMatrix &);
+
+   virtual void AssembleElementMatrix2(const FiniteElement &trial_fe,
+                                       const FiniteElement &test_fe,
+                                       ElementTransformation &Trans,
+                                       DenseMatrix &elmat);
+
+   static const IntegrationRule &GetRule(const FiniteElement &trial_fe,
+                                         const FiniteElement &test_fe,
+                                         ElementTransformation &Trans);
+};
+
+/// $\alpha (u, Q \Delta v)$
+class TransposeLaplaceIntegrator : public TransposeIntegrator
+{
+public:
+   TransposeLaplaceIntegrator (Coefficient &q, real_t a = 1.0)
+      : TransposeIntegrator(new LaplaceIntegrator(q, a)) { }
+};
+
+/// $\alpha (\Delta u, Q \cdot \nabla v)$
+class LaplaceGradIntegrator : public BilinearFormIntegrator
+{
+protected:
+   VectorCoefficient *Q;
+   real_t alpha;
+   int dim;
+
+private:
+   Vector laplace, vec2, BdFidxT;
+   DenseMatrix dshape, adjJ, Q_ir;
+
+public:
+   LaplaceGradIntegrator(VectorCoefficient &q, real_t a = 1.0)
+      : Q(&q) { alpha = a; }
+
+   virtual void AssembleElementMatrix(const FiniteElement &,
+                                      ElementTransformation &,
+                                      DenseMatrix &);
+
+   virtual void AssembleElementMatrix2(const FiniteElement &trial_fe,
+                                       const FiniteElement &test_fe,
+                                       ElementTransformation &Trans,
+                                       DenseMatrix &elmat);
+
+   static const IntegrationRule &GetRule(const FiniteElement &trial_fe,
+                                         const FiniteElement &test_fe,
+                                         ElementTransformation &Trans);
+};
+
+/// $\alpha (Q \cdot \nabla u,  \Delta v)$
+class GradLaplaceIntegrator : public TransposeIntegrator
+{
+public:
+   GradLaplaceIntegrator(VectorCoefficient &q, real_t a = 1.0)
+      : TransposeIntegrator(new LaplaceGradIntegrator(q, a)) { }
+};
+
+/// $\alpha (Q \Delta u, \Delta v)$
+class  LaplaceLaplaceIntegrator : public BilinearFormIntegrator
+{
+protected:
+   Coefficient *Q;
+   real_t alpha;
+
+private:
+   Vector laplace, te_laplace;
+
+public:
+   LaplaceLaplaceIntegrator(Coefficient &q, real_t a = 1.0)
+      : Q(&q) { alpha = a; }
+
+   virtual void AssembleElementMatrix(const FiniteElement &,
+                                      ElementTransformation &,
+                                      DenseMatrix &);
+
+   virtual void AssembleElementMatrix2(const FiniteElement &trial_fe,
+                                       const FiniteElement &test_fe,
+                                       ElementTransformation &Trans,
+                                       DenseMatrix &elmat);
+
+   static const IntegrationRule &GetRule(const FiniteElement &trial_fe,
+                                         const FiniteElement &test_fe,
+                                         ElementTransformation &Trans);
+};
+
+// Alias for @LaplaceLaplaceIntegrator.
+using BiHarmonicIntegrator = LaplaceLaplaceIntegrator;
+
+/// Get the inverse estimate
+class InverseEstimateIntegrator : public BilinearFormIntegrator
+{
+protected:
+   Coefficient *Q;
+
+private:
+   Vector laplace, shape, ovec;//, vec2, BdFidxT;
+   DenseMatrix dshape, lapmat, bimat;//, adjJ, Q_ir;
+
+public:
+   InverseEstimateIntegrator(Coefficient &q)
+      : Q(&q) { }
+
+   virtual void AssembleElementMatrix(const FiniteElement &,
+                                      ElementTransformation &,
+                                      DenseMatrix &);
+
+   static const IntegrationRule &GetRule(const FiniteElement &trial_fe,
+                                         const FiniteElement &test_fe,
+                                         ElementTransformation &Trans);
+};
+
 /** Class for integrating the bilinear form $a(u,v) := (Q u, v)$,
     where $u=(u_1,\dots,u_n)$ and $v=(v_1,\dots,v_n)$, $u_i$ and $v_i$ are defined
     by scalar FE through standard transformation. */
@@ -2612,25 +2741,6 @@ public:
                                        DenseMatrix &elmat);
 };
 
-/// Integrator for (Q u.n, v.n) for RT elements
-class VectorFEBoundaryFluxIntegrator : public BilinearFormIntegrator
-{
-   Coefficient *Q;
-#ifndef MFEM_THREAD_SAFE
-   Vector shape, te_shape;
-#endif
-public:
-   VectorFEBoundaryFluxIntegrator() { Q = NULL; }
-   VectorFEBoundaryFluxIntegrator(Coefficient &q) { Q = &q; }
-   void AssembleElementMatrix(const FiniteElement &el,
-                              ElementTransformation &Trans,
-                              DenseMatrix &elmat) override;
-   void AssembleElementMatrix2(const FiniteElement &trial_fe,
-                               const FiniteElement &test_fe,
-                               ElementTransformation &Trans,
-                               DenseMatrix &elmat) override;
-};
-
 /// Class for integrating $ (Q \partial_i(u), v) $ where $u$ and $v$ are scalars
 class DerivativeIntegrator : public BilinearFormIntegrator
 {

fem/coefficient.cpp

@@ -1504,6 +1504,295 @@ void CrossCrossCoefficient::Eval(DenseMatrix &M, ElementTransformation &T,
    M *= ((a == NULL ) ? aConst : a->Eval(T, ip) );
 }
 
+
+InverseEstimateCoefficient::InverseEstimateCoefficient(FiniteElementSpace *f)
+   : fes(f), Q(NULL), ir(NULL)
+{
+   ComputeInverseEstimates();
+}
+
+InverseEstimateCoefficient::InverseEstimateCoefficient(FiniteElementSpace *f,
+                                                       Coefficient &q)
+   : fes(f), Q(&q), ir(NULL)
+{
+   ComputeInverseEstimates();
+}
+
+GridFunction *InverseEstimateCoefficient::GetGridFunction()
+{
+   FiniteElementCollection* fec_ec = new L2_FECollection(0,
+                                                         fes ->GetMesh()->Dimension());
+   FiniteElementSpace *fes_ec = new FiniteElementSpace(fes ->GetMesh(), fec_ec);
+   GridFunction *gf = new GridFunction(fes_ec, elemInvEst.GetData());
+   gf->MakeOwner(fec_ec);
+   return gf;
+}
+
+void InverseEstimateCoefficient::ComputeInverseEstimates()
+{
+   elemInvEst.SetSize(fes -> GetNE());
+   SetIntRule(*fes->GetFE(0));
+   for (int i = 0; i < fes -> GetNE(); i++)
+   {
+      elemInvEst[i] = ElementInverseEstimate(*fes->GetFE(i),
+                                             *fes->GetElementTransformation(i));
+   }
+}
+
+void InverseEstimateCoefficient::SetIntRule(const FiniteElement &el)
+{
+   ir = &IntRules.Get(el.GetGeomType(), 2*el.GetOrder());
+}
+
+real_t InverseEstimateCoefficient::ElementInverseEstimate(
+   const FiniteElement &el,
+   ElementTransformation &Trans)
+{
+   if (el.GetOrder() < 2)
+   {
+      return std::numeric_limits<real_t>::min();
+   }
+
+   int nd = el.GetDof();
+   int dim = el.GetDim();
+
+   shape.SetSize(nd);
+   dshape.SetSize(nd,dim);
+   laplace.SetSize(nd);
+
+   lapmat.SetSize(nd,nd);
+   bimat.SetSize(nd,nd);
+   ovec.SetSize(nd);
+
+   real_t w,q = 1.0;
+
+   bimat = 0.0;
+   lapmat = 0.0;
+   ovec = 0.0;
+   for (int i = 0; i < ir->GetNPoints(); i++)
+   {
+      const IntegrationPoint &ip = ir->IntPoint(i);
+      Trans.SetIntPoint(&ip);
+      w = Trans.Weight()*ip.weight;
+      if (Q)
+      {
+         q = Q->Eval(Trans, ip);
+      }
+
+      el.CalcPhysDShape(Trans, dshape);
+      AddMult_a_AAt(w*q, dshape, lapmat);
+
+      el.CalcPhysLaplacian(Trans, laplace);
+      AddMult_a_VVt(w*q*q, laplace, bimat);
+
+      el.CalcPhysShape(Trans, shape);
+      ovec.Add(w, shape);
+   }
+   ovec *= 1.0/ovec.Norml2();
+
+   // Correct nullspace
+   AddMultVVt(ovec, lapmat);
+
+   // Return largest eigenvalue
+   return bimat.Eigenvalue(lapmat);
+}
+
+ElasticInverseEstimateCoefficient
+::ElasticInverseEstimateCoefficient(FiniteElementSpace *f)
+   : fes(f), Q(NULL), ir(NULL)
+{
+   ComputeInverseEstimates();
+}
+
+ElasticInverseEstimateCoefficient
+::ElasticInverseEstimateCoefficient(FiniteElementSpace *f,
+                                    Coefficient &q)
+   : fes(f), Q(&q), ir(NULL)
+{
+   ComputeInverseEstimates();
+}
+
+GridFunction *ElasticInverseEstimateCoefficient::GetGridFunction()
+{
+   FiniteElementCollection* fec_ec = new L2_FECollection(0,
+                                                         fes ->GetMesh()->Dimension());
+   FiniteElementSpace *fes_ec = new FiniteElementSpace(fes ->GetMesh(), fec_ec);
+   GridFunction *gf = new GridFunction(fes_ec, elemInvEst.GetData());
+   gf->MakeOwner(fec_ec);
+   return gf;
+}
+
+void ElasticInverseEstimateCoefficient::ComputeInverseEstimates()
+{
+   elemInvEst.SetSize(fes -> GetNE());
+   SetIntRule(*fes->GetFE(0));
+   int dim = fes->GetFE(0)->GetDim();
+
+   emat.SetSize(dim,dim);
+   divmat.SetSize(dim,dim);
+   for (int i = 0; i < dim; i++)
+   {
+      for (int j = 0; j < dim; j++)
+      {
+         emat(i,j)= new DenseMatrix();
+         divmat(i,j)= new DenseMatrix();
+      }
+   }
+
+   hmap.SetSize(dim,dim);
+
+   if (dim == 2)
+   {
+      hmap(0,0) = 0;
+      hmap(0,1) =  hmap(1,0) =  1;
+      hmap(1,1) = 2;
+   }
+   else if (dim == 2)
+   {
+      hmap(0,0) = 0;
+      hmap(0,1) = hmap(1,0) = 1;
+      hmap(0,2) = hmap(2,0) = 2;
+      hmap(1,1) = 3;
+      hmap(1,2) = hmap(2,1) = 4;
+      hmap(2,2) = 5;
+   }
+   else
+   {
+      mfem_error("Only implemented for 2D and 3D");
+   }
+
+   for (int i = 0; i < fes -> GetNE(); i++)
+   {
+      elemInvEst[i] = ElementInverseEstimate(*fes->GetFE(i),
+                                             *fes->GetElementTransformation(i));
+   }
+}
+
+void ElasticInverseEstimateCoefficient::SetIntRule(const FiniteElement &el)
+{
+   ir = &IntRules.Get(el.GetGeomType(), 2*el.GetOrder());
+}
+
+real_t ElasticInverseEstimateCoefficient::ElementInverseEstimate(
+   const FiniteElement &el,
+   ElementTransformation &Trans)
+{
+   // if (el.GetDerivType() != (int) FiniteElement::HESS)
+   //  {
+   //     return std::numeric_limits<real_t>::min();
+   //  }
+
+   int nd = el.GetDof();
+   int dim = el.GetDim();
+
+   shape.SetSize(nd);
+   dshape.SetSize(nd,dim);
+   hshape.SetSize(nd,dim*(dim+1)/2);
+
+   for (int i = 0; i < dim; i++)
+   {
+      for (int j = 0; j < dim; j++)
+      {
+         emat(i,j)->SetSize(nd,nd);
+         *emat(i,j) = 0.0;
+         divmat(i,j)->SetSize(nd,nd);
+         *divmat(i,j) = 0.0;
+      }
+   }
+
+   real_t w,q = 1.0;
+   for (int ii = 0; ii < ir->GetNPoints(); ii++)
+   {
+      const IntegrationPoint &ip = ir->IntPoint(ii);
+      Trans.SetIntPoint(&ip);
+      w = Trans.Weight()*ip.weight;
+      if (Q)
+      {
+         q = Q->Eval(Trans, ip);
+      }
+
+      el.CalcPhysDShape(Trans, dshape);
+      for (int i = 0; i < dim; i++)
+      {
+         for (int j = 0; j < dim; j++)
+         {
+            AddMult_a_VVt(w*q, Vector(dshape.GetColumn(i),nd), *emat(j,j));
+
+            AddMult_a_VWt(w*q, Vector(dshape.GetColumn(i),nd),
+                          Vector(dshape.GetColumn(j),nd), *emat(j,i));
+
+            AddMult_a_VWt(w*q, Vector(dshape.GetColumn(j),nd),
+                          Vector(dshape.GetColumn(i),nd), *emat(i,j));
+
+            AddMult_a_VVt(w*q, Vector(dshape.GetColumn(j),nd), *emat(i,i));
+         }
+      }
+
+      el.CalcPhysHessian(Trans, hshape);
+      for (int i = 0; i < dim; i++)
+      {
+         for (int j = 0; j < dim; j++)
+         {
+            for (int k = 0; k < dim; k++)
+            {
+               AddMult_a_VWt(w*q*q, Vector(hshape.GetColumn(hmap(i,i)),nd),
+                             Vector(hshape.GetColumn(hmap(k,k)),nd), *divmat(j,j));
+
+               AddMult_a_VWt(w*q*q, Vector(hshape.GetColumn(hmap(i,i)),nd),
+                             Vector(hshape.GetColumn(hmap(k,j)),nd), *divmat(j,k));
+
+               AddMult_a_VWt(w*q*q, Vector(hshape.GetColumn(hmap(i,j)),nd),
+                             Vector(hshape.GetColumn(hmap(k,k)),nd), *divmat(i,j));
+
+               AddMult_a_VWt(w*q*q, Vector(hshape.GetColumn(hmap(i,j)),nd),
+                             Vector(hshape.GetColumn(hmap(k,j)),nd), *divmat(i,k));
+            }
+         }
+      }
+   }
+
+   // Collect matrices
+   emat_tot.SetSize(nd*dim,nd*dim);
+   divmat_tot.SetSize(nd*dim,nd*dim);
+   for (int i = 0; i < dim; i++)
+   {
+      for (int j = 0; j < dim; j++)
+      {
+         emat_tot  .SetSubMatrix(i*nd, j*nd, *emat(i,j));
+         divmat_tot.SetSubMatrix(i*nd, j*nd, *divmat(i,j));
+      }
+   }
+
+   // Correct nullspace
+   DenseMatrix ns;
+   emat_tot.NullSpace(ns, 1e-10);
+   for (int i = 0; i < ns.Width(); i++)
+   {
+      AddMultVVt(Vector(ns.GetColumn(i),nd*dim), emat_tot);
+   }
+
+   // Return largest eigenvalue
+   return divmat_tot.Eigenvalue(emat_tot);
+}
+
+ElasticInverseEstimateCoefficient::~ElasticInverseEstimateCoefficient()
+{
+   for (int i = 0; i < emat.NumRows(); i++)
+   {
+      for (int j = 0; j < emat.NumCols(); j++)
+      {
+         delete emat(i,j);
+      }
+   }
+   for (int i = 0; i < divmat.NumRows(); i++)
+   {
+      for (int j = 0; j < divmat.NumCols(); j++)
+      {
+         delete divmat(i,j);
+      }
+   }
+}
+
 real_t LpNormLoop(real_t p, Coefficient &coeff, Mesh &mesh,
                   const IntegrationRule *irs[])
 {

fem/coefficient.hpp

@@ -2328,6 +2328,127 @@ public:
 };
 ///@}
 
+/** @brief
+*/
+class InverseEstimateCoefficient : public Coefficient
+{
+private:
+   ///
+   Vector elemInvEst;
+   /// FE space on which the grid function lives. Owned if #fec is not NULL.
+   FiniteElementSpace *fes;
+
+   ///
+   const IntegrationRule *ir;
+
+   ///
+   Coefficient *Q;
+   Vector laplace, shape, ovec, evec;
+   DenseMatrix dshape, lapmat, bimat;
+
+   ///
+   void SetIntRule(const FiniteElement &el);
+
+   ///
+   void ComputeInverseEstimates();
+
+   real_t ElementInverseEstimate(const FiniteElement &el,
+                                 ElementTransformation &Trans);
+
+public:
+   ///
+   InverseEstimateCoefficient(FiniteElementSpace *f);
+   InverseEstimateCoefficient(FiniteElementSpace *f, Coefficient &q);
+
+   /// Caller gets owner ship of GridFunction and
+   GridFunction *GetGridFunction();
+
+   /// Reset the scalar factor
+   void SetDiffusion(Coefficient &q)
+   {
+      if (Q != &q)
+      {
+         Q = &q;
+         ComputeInverseEstimates();
+      }
+   }
+   /// Return the scalar factor
+   Coefficient * GetDiffusion() const { return Q; }
+
+   /// Evaluate the coefficient at @a ip.
+   virtual real_t Eval(ElementTransformation &T,
+                       const IntegrationPoint &ip)
+   { return elemInvEst[T.ElementNo]; }
+
+};
+
+class ElasticInverseEstimateCoefficient : public Coefficient
+{
+private:
+   ///
+   Vector elemInvEst;
+   /// FE space on which the grid function lives. Owned if #fec is not NULL.
+   FiniteElementSpace *fes;
+
+   ///
+   const IntegrationRule *ir;
+
+   ///
+   Coefficient *Q;
+   Vector shape, ovec, evec;
+   DenseMatrix dshape, hshape, emat_tot, divmat_tot;
+   Array2D<DenseMatrix*> emat,divmat;
+   Array2D<int> hmap;
+
+   ///
+   void SetIntRule(const FiniteElement &el);
+
+   ///
+   void ComputeInverseEstimates();
+
+   ///
+   real_t ElementInverseEstimate(const FiniteElement &el,
+                                 ElementTransformation &Trans);
+
+public:
+   ///
+   ElasticInverseEstimateCoefficient(FiniteElementSpace *f);
+   ElasticInverseEstimateCoefficient(FiniteElementSpace *f, Coefficient &q);
+
+   /// Caller gets owner ship of GridFunction and
+   GridFunction *GetGridFunction();
+
+   /// Reset the scalar factor
+   void SetDiffusion(Coefficient &q)
+   {
+      if (Q != &q)
+      {
+         Q = &q;
+         ComputeInverseEstimates();
+      }
+   }
+   void SetShearModulus(Coefficient &q) { SetDiffusion(q);}
+
+   /// Return the scalar factor
+   Coefficient * GetDiffusion() const { return Q; }
+   Coefficient * GetModulus() const { return GetDiffusion(); }
+
+   /// Evaluate the coefficient at @a ip.
+   virtual real_t Eval(ElementTransformation &T,
+                       const IntegrationPoint &ip)
+   { return elemInvEst[T.ElementNo]; }
+
+   // Destructor
+   ~ElasticInverseEstimateCoefficient();
+
+};
+
+
+///@}
+
+
+
+
 /** @brief Vector quadrature function coefficient which requires that the
     quadrature rules used for this vector coefficient be the same as those that
     live within the supplied QuadratureFunction. */

fem/datacollection.cpp

@@ -943,7 +943,6 @@ void ParaViewDataCollection::Save()
             pvtu_out << "<PDataArray type=\"" << GetDataTypeString()
                      << "\" Name=\"" << field_it.first
                      << "\" NumberOfComponents=\"" << vec_dim << "\" "
-                     << VTKComponentLabels(vec_dim) << " "
                      << "format=\"" << GetDataFormatString() << "\" />\n";
          }
          pvtu_out << "</PPointData>\n";
@@ -978,7 +977,6 @@ void ParaViewDataCollection::Save()
          pvtu_out << "<PDataArray type=\"" << GetDataTypeString()
                   << "\" Name=\"" << q_field_name
                   << "\" NumberOfComponents=\"" << vec_dim << "\" "
-                  << VTKComponentLabels(vec_dim) << " "
                   << "format=\"" << GetDataFormatString() << "\" />\n";
          pvtu_out << "</PPointData>\n";
          WritePVTUFooter(pvtu_out, q_field_name);
@@ -1071,9 +1069,8 @@ void ParaViewDataCollection::SaveGFieldVTU(std::ostream &os, int ref_,
    int vec_dim = it->second->VectorDim();
    os << "<DataArray type=\"" << GetDataTypeString()
       << "\" Name=\"" << it->first
-      << "\" NumberOfComponents=\"" << vec_dim << "\" "
-      << VTKComponentLabels(vec_dim) << " "
-      << "format=\"" << GetDataFormatString() << "\" >" << '\n';
+      << "\" NumberOfComponents=\"" << vec_dim << "\""
+      << " format=\"" << GetDataFormatString() << "\" >" << '\n';
    if (vec_dim == 1)
    {
       // scalar data

fem/fe/fe_base.cpp

@@ -221,7 +221,7 @@ void FiniteElement::CalcPhysLaplacian(ElementTransformation &Trans,
    {
       for (int nd = 0; nd < dof; nd++)
       {
-         Laplacian[nd] = hess(nd,0) + hess(nd,4) + hess(nd,5);
+         Laplacian[nd] = hess(nd,0) + hess(nd,3) + hess(nd,5);
       }
    }
    else if (dim == 2)
@@ -259,10 +259,10 @@ void FiniteElement::CalcPhysLinLaplacian(ElementTransformation &Trans,
       scale[1] = 2*Gij(0,1);
       scale[2] = 2*Gij(0,2);
 
-      scale[3] = 2*Gij(1,2);
-      scale[4] =   Gij(2,2);
+      scale[3] =   Gij(1,1);
+      scale[4] = 2*Gij(1,2);
 
-      scale[5] =   Gij(1,1);
+      scale[5] =   Gij(2,2);
    }
    else if (dim == 2)
    {
@@ -299,12 +299,12 @@ void  FiniteElement::CalcPhysHessian(ElementTransformation &Trans,
       map[2] = 2;
 
       map[3] = 1;
-      map[4] = 5;
-      map[5] = 3;
+      map[4] = 3;
+      map[5] = 4;
 
       map[6] = 2;
-      map[7] = 3;
-      map[8] = 4;
+      map[7] = 4;
+      map[8] = 5;
    }
    else if (dim == 2)
    {

fem/fe/fe_base.hpp

@@ -299,7 +299,8 @@ public:
       NONE, ///< No derivatives implemented
       GRAD, ///< Implements CalcDShape methods
       DIV,  ///< Implements CalcDivShape methods
-      CURL  ///< Implements CalcCurlShape methods
+      CURL, ///< Implements CalcCurlShape methods
+      HESS  ///< Implements CalcHessian & CalcDShape methods
    };
 
    /** @brief Construct FiniteElement with given
@@ -356,7 +357,7 @@ public:
 
    /** @brief Returns the FiniteElement::DerivType of the element describing the
        spatial derivative method implemented, one of {NONE, GRAD,
-       DIV, CURL}. */
+       DIV, CURL, HESS}. */
    int GetDerivType() const { return deriv_type; }
 
    /** @brief Returns the FiniteElement::DerivType of the element describing how

fem/fe/fe_nurbs.cpp

@@ -349,10 +349,10 @@ void NURBS3DFiniteElement::CalcHessian (const IntegrationPoint &ip,
             d2sum[1] += ( hessian(o,1) = dsx*dsy*sz*weights(o) );
             d2sum[2] += ( hessian(o,2) = dsx*sy*dsz*weights(o) );
 
-            d2sum[3] += ( hessian(o,3) = sx*dsy*dsz*weights(o) );
+            d2sum[3] += ( hessian(o,3) = sx*d2sy*sz*weights(o) );
+            d2sum[4] += ( hessian(o,4) = sx*dsy*dsz*weights(o) );
 
-            d2sum[4] += ( hessian(o,4) = sx*sy*d2sz*weights(o) );
-            d2sum[5] += ( hessian(o,5) = sx*d2sy*sz*weights(o) );
+            d2sum[5] += ( hessian(o,5) = sx*sy*d2sz*weights(o) );
          }
       }
    }
@@ -387,17 +387,17 @@ void NURBS3DFiniteElement::CalcHessian (const IntegrationPoint &ip,
                      + u[o]*sum*(2*dsum[0]*dsum[2] - d2sum[2]);
 
       hessian(o,3) = hessian(o,3)*sum
-                     - du(o,1)*sum*dsum[2]
-                     - du(o,2)*sum*dsum[1]
-                     + u[o]*sum*(2*dsum[1]*dsum[2] - d2sum[3]);
+                     - 2*du(o,1)*sum*dsum[1]
+                     + u[o]*sum*(2*dsum[1]*dsum[1] - d2sum[3]);
 
       hessian(o,4) = hessian(o,4)*sum
-                     - 2*du(o,2)*sum*dsum[2]
-                     + u[o]*sum*(2*dsum[2]*dsum[2] - d2sum[4]);
+                     - du(o,1)*sum*dsum[2]
+                     - du(o,2)*sum*dsum[1]
+                     + u[o]*sum*(2*dsum[1]*dsum[2] - d2sum[4]);
 
       hessian(o,5) = hessian(o,5)*sum
-                     - 2*du(o,1)*sum*dsum[1]
-                     + u[o]*sum*(2*dsum[1]*dsum[1] - d2sum[5]);
+                     - 2*du(o,2)*sum*dsum[2]
+                     + u[o]*sum*(2*dsum[2]*dsum[2] - d2sum[5]);
    }
 }
 

fem/fespace.hpp

@@ -591,8 +591,7 @@ public:
    /// Returns true if the space contains elements of varying polynomial orders.
    bool IsVariableOrder() const { return elem_order.Size(); }
 
-   /// The returned SparseMatrix is owned by the FiniteElementSpace. The method
-   /// returns nullptr if the matrix is identity.
+   /// The returned SparseMatrix is owned by the FiniteElementSpace.
    const SparseMatrix *GetConformingProlongation() const;
 
    /// The returned SparseMatrix is owned by the FiniteElementSpace.
@@ -605,8 +604,7 @@ public:
    /// The returned SparseMatrix is owned by the FiniteElementSpace.
    const SparseMatrix *GetHpConformingRestriction() const;
 
-   /// The returned Operator is owned by the FiniteElementSpace. The method
-   /// returns nullptr if the prolongation matrix is identity.
+   /// The returned Operator is owned by the FiniteElementSpace.
    virtual const Operator *GetProlongationMatrix() const
    { return GetConformingProlongation(); }
 
@@ -657,10 +655,7 @@ public:
    const ElementRestrictionOperator *GetElementRestriction(
       ElementDofOrdering e_ordering) const;
 
-   /** @brief Return an Operator that converts L-vectors to E-vectors on each
-       face. */
-   /** @warning only meshes with tensor-product elements are currently
-       supported. */
+   /// Return an Operator that converts L-vectors to E-vectors on each face.
    virtual const FaceRestriction *GetFaceRestriction(
       ElementDofOrdering f_ordering, FaceType,
       L2FaceValues mul = L2FaceValues::DoubleValued) const;