Merge branch 'master' into mdspan

Update to stale.yml to enable cache, on-demand dispatch, and higher rate limit

.github/stale.yml

@@ -1,61 +0,0 @@
-# Configuration for probot-stale - https://github.com/probot/stale
-
-# Number of days of inactivity before an Issue or Pull Request becomes stale
-daysUntilStale: 30
-
-# Number of days of inactivity before an Issue or Pull Request with the stale
-# label is closed.  Set to false to disable. If disabled, issues still need to
-# be closed manually, but will remain marked as stale.
-daysUntilClose: 7
-
-# Only issues or pull requests with all of these labels are check if stale.
-# Defaults to `[]` (disabled)
-onlyLabels: []
-
-# Issues or Pull Requests with these labels will never be considered stale. Set
-# to `[]` to disable
-exemptLabels:
-  - bug
-  - WIP
-  - ready-for-review
-  - in-review
-  - in-next
-
-# Set to true to ignore issues in a project (defaults to false)
-exemptProjects: false
-
-# Set to true to ignore issues in a milestone (defaults to false)
-exemptMilestones: false
-
-# Set to true to ignore issues with an assignee (defaults to false)
-exemptAssignees: false
-
-# Label to use when marking an issue as stale
-staleLabel: stale
-
-# Comment to post when marking an issue as stale. Set to `false` to disable
-markComment: >
-  :warning: This issue or PR has been automatically marked as stale because it has not
-  had any activity in the last month. *If no activity occurs in the next week, it will
-  be automatically closed.* Thank you for your contributions.
-
-# Comment to post when closing a stale issue. Set to `false` to disable
-closeComment: false
-
-# Limit the number of actions per hour, from 1-30. Default is 30
-limitPerRun: 30
-
-# Limit to only `issues` or `pulls`
-# only: issues
-
-# Optionally, specify configuration settings that are specific to just 'issues' or 'pulls':
-# pulls:
-#   daysUntilStale: 30
-#   markComment: >
-#     This pull request has been automatically marked as stale because it has not had
-#     recent activity. It will be closed if no further activity occurs. Thank you
-#     for your contributions.
-
-# issues:
-#   exemptLabels:
-#     - confirmed

.github/workflows/stale.yml

@@ -0,0 +1,31 @@
+# This workflow warns and then closes issues and PRs that have had no activity for a specified amount of time.
+# For more information, see: https://github.com/actions/stale
+name: Mark stale issues and pull requests
+
+on:
+  workflow_dispatch:
+  schedule:
+  - cron: '0 0 * * *'
+
+jobs:
+  stale:
+
+    runs-on: ubuntu-latest
+    permissions:
+      issues: write
+      pull-requests: write
+      actions: write
+
+    steps:
+    - uses: actions/stale@v9
+      with:
+        repo-token: ${{ secrets.GITHUB_TOKEN }}
+        stale-issue-message: ':warning: This issue has been automatically marked as stale because it has not had any activity in the last month. *If no activity occurs in the next week, it will be automatically closed.* Thank you for your contributions.'
+        stale-pr-message: ':warning: This PR has been automatically marked as stale because it has not had any activity in the last month. *If no activity occurs in the next week, it will be automatically closed.* Thank you for your contributions.'
+        days-before-stale: 30
+        days-before-close: 7
+        stale-issue-label: 'stale'
+        stale-pr-label: 'stale'
+        operations-per-run: 500
+        exempt-issue-labels: "bug,WIP,ready-for-review,in-review,in-next"
+        exempt-pr-labels: "bug,WIP,ready-for-review,in-review,in-next"

.github/workflows/trigger-pymfem-ci.yml

@@ -0,0 +1,31 @@
+# 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.
+
+name: "Trigger PyMFEM CI"
+
+on:
+  push:
+    branches:
+      - master
+
+jobs:
+  trigger-pymfem:
+    runs-on: ubuntu-latest
+    steps:
+    - name: Send POST request to trigger PyMFEM CI
+      run: |
+        curl -L \
+             -X POST \
+             -H "Accept: application/vnd.github+json" \
+             -H "Authorization: Bearer ${{ secrets.PYMFEM_CI_TOKEN }}" \
+             -H "X-GitHub-Api-Version: 2022-11-28" \
+             https://api.github.com/repos/mfem/pymfem/actions/workflows/build-and-test-dispatch.yml/dispatches \
+             -d '{"ref":"master", "inputs":{"test_options":"fast"}}'

.gitignore

@@ -15,6 +15,9 @@
 CMakeCache.txt
 CMakeFiles/
 
+# Clangd server cache
+*.cache*
+
 # Backup files
 *~
 

CHANGELOG

@@ -10,6 +10,8 @@
 
 Version 4.7.1 (development)
 ===========================
+- Refactored ALGOIM cut integration rules. The interface is unified with
+  the interface for moment based cut integration rules.
 
 Discretization improvements
 ---------------------------
@@ -18,6 +20,8 @@ Discretization improvements
 
 - Added support for boundary constraints to the hybridization class.
 
+- Added support for external boundary submeshes with nonconformal mesh adaptation.
+
 Meshing improvements
 --------------------
 - The ExodusII reader now handles pyramid and wedge element types. Mixed meshes
@@ -30,13 +34,35 @@ New and updated examples and miniapps
 - Added an MFEM example for the eikonal equation. This new solver is based on
   the proximal Galerkin method introduced by Keith and Surowiec.
 
+- Added a command line option to all miniapps (`-p` or `--send-port`) for
+  specifying the GLVis server socket port (19916 by default).
+
 GPU computing
 -------------
 - Added support for GPU-accelerated batched linear algebra (using cuBLAS,
   hipBLAS, MAGMA, or native MFEM functionality) through the BatchedLinAlg class.
 
+- A new GPU kernel dispatch mechanism was introduced. Users can instantiate
+  specialized kernels for specific combinations of (for example) polynomial
+  degree and number of quadrature points using
+  `DiffusionIntegrator::AddSpecialization` and
+  `MassIntegrator::AddSpecialization` (this functionality may be added to more
+  integrators in the future).
+
+- Calls to slower fallback kernels can be reported to `mfem::err` by setting
+  the environment variable `MFEM_REPORT_KERNELS` to any value other than `NO`
+  or by explicitly calling `KernelReporter::Enable`. Users can then add
+  specializations for these kernels to achieve higher performance.
+
+- Element assembly kernels have been added for low-order refined to
+  high-order transfer operators. New kernels can be offloaded as device
+  kernels. Example usage may be found in lor-transfer.cpp under miniapps/tools.
+
 Miscellaneous
 -------------
+- Added support for SUNDIALS v7. See the section "API changes" for some small
+  changes related to this new version.
+
 - 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()`),
@@ -53,6 +79,18 @@ API changes
 -----------
 - API change: in class GridFunction, 'fec' was renamed to 'fec_owned'.
 
+- API change: support for SUNDIALS v7:
+  * the SUNDIALS types `realtype` and `booleantype` are no longer defined by v7
+    and therefore MFEM now uses the new type names `sunrealtype` and
+    `sunbooleantype`, respectively, which MFEM defines when using SUNDIALS < v6
+    where these types were not defined.
+  * The SUNDIALS macro `SUNLS_SUCCESS` and some other `*_SUCCESS` macros were
+    removed and replaced by `SUN_SUCCESS` in v7, so to avoid tedious checks for
+    SUNDIALS versions, MFEM now defines and uses the constant `SUN_SUCCESS` when
+    using SUNDIALS < v7.
+  * The constants `SUN_PREC_*`, introduced by SUNDIALS v6 are now introduced by
+    MFEM when using SUNDIALS < v6 to avoid tedious version checks.
+
 
 Version 4.7, released on May 7, 2024
 ====================================
@@ -139,6 +177,15 @@ New and updated examples and miniapps
 - Added two new example codes: 38 and 39/39p described above. Substantially
   updated Example 18/18p.
 
+- Added ODE solvers selection routines. This creates a uniformity across examples,
+  miniapps and other executables in regard to ODE(time-integrator) selection.
+
+- Added new mechanism for retrieving and setting state vectors in ODE solvers.
+  This is relevant for AB/AM and gen-alpha solvers.
+
+- Added ODEsolver/ODEsolver2 unit tests to verify order of convergence and
+  read/write functionality.
+
 Miscellaneous
 -------------
 - Updated the Doxygen documentation style, which now requires Doxygen version

CMakeLists.txt

@@ -340,7 +340,10 @@ if (MFEM_USE_SUNDIALS)
   if (MFEM_USE_HIP)
     list(APPEND SUNDIALS_COMPONENTS NVector_Hip)
   endif()
-  find_package(SUNDIALS REQUIRED ${SUNDIALS_COMPONENTS})
+  # The Core component was added in SUNDIALS v7, so we treat it as optional in
+  # order to support older versions.
+  find_package(SUNDIALS REQUIRED ${SUNDIALS_COMPONENTS}
+    OPTIONAL_COMPONENTS Core)
 endif()
 
 # SuperLU_DIST can only be enabled in parallel
@@ -522,10 +525,7 @@ 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
@@ -632,11 +632,6 @@ 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()

INSTALL

@@ -502,10 +502,14 @@ MFEM_USE_CODIPACK = YES/NO
 MFEM_USE_ALGOIM = YES/NO
   Enable the usage of Algoim - a collection of high-order accurate numerical
   methods and C++ algorithms for working with implicitly-defined geometry and
-  level set methods. The Algoim library requires the Blitz++ library. The MFEM
-  provides interface to Algoim v1. Thus, to check out the specific state use:
+  level set methods, see https://algoim.github.io. MFEM provides interface to
+  Algoim v1. To check out the specific Algoim state use:
+  https://github.com/algoim/algoim
   git checkout 9c9ca0ef094d8ab0390ed36367a1151b459bbe0a
-  https://algoim.github.io
+  The Algoim library requires the Blitz++ library. To use the latest state of
+  Blitz++ that has been tested with MFEM, use:
+  https://github.com/blitzpp/blitz
+  git checkout f24a250a43dff88c31ad92916da828b7ea9a98b7
 
 MFEM_USE_ADFORWARD = YES/NO
   Enable forward mode for AD packages. This option is valid

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/FindSUNDIALS.cmake

@@ -31,4 +31,5 @@ mfem_find_package(SUNDIALS SUNDIALS SUNDIALS_DIR
   ADD_COMPONENT CVODE "include" cvode/cvode.h "lib" sundials_cvode
   ADD_COMPONENT CVODES "include" cvodes/cvodes.h "lib" sundials_cvodes
   ADD_COMPONENT ARKODE "include" arkode/arkode.h "lib" sundials_arkode
-  ADD_COMPONENT KINSOL "include" kinsol/kinsol.h "lib" sundials_kinsol)
+  ADD_COMPONENT KINSOL "include" kinsol/kinsol.h "lib" sundials_kinsol
+  ADD_COMPONENT Core "include" sundials/sundials_core.h "lib" sundials_core)

config/defaults.mk

@@ -289,6 +289,13 @@ endif
 ifeq ($(MFEM_USE_HIP),YES)
    SUNDIALS_LIB += -lsundials_nvechip
 endif
+SUNDIALS_CORE_PAT = $(subst\
+ @MFEM_DIR@,$(MFEM_DIR),$(SUNDIALS_DIR))/lib*/libsundials_core.*
+ifeq ($(MFEM_USE_SUNDIALS),YES)
+   ifneq ($(wildcard $(SUNDIALS_CORE_PAT)),)
+      SUNDIALS_LIB += -lsundials_core
+   endif
+endif
 # If SUNDIALS was built with KLU:
 # MFEM_USE_SUITESPARSE = YES
 
@@ -533,8 +540,10 @@ ifdef GOTCHA_DIR
 endif
 
 # BLITZ library configuration
-BLITZ_DIR = @MFEM_DIR@/../blitz
+# BLITZ_DIR must be the custom installation folder (-DCMAKE_INSTALL_PREFIX).
+BLITZ_DIR = @MFEM_DIR@/../blitz/install
 BLITZ_OPT = -I$(BLITZ_DIR)/include
+# On intel machines, use /lib64 instead of /lib.
 BLITZ_LIB = $(XLINKER)-rpath,$(BLITZ_DIR)/lib -L$(BLITZ_DIR)/lib -lblitz
 
 # ALGOIM library configuration

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

examples/CMakeLists.txt

@@ -50,28 +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_diffusion_3d_refactor.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
@@ -132,17 +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_diffusion_3d_refactor 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/dfem/cxxtimer.hpp

@@ -1,184 +0,0 @@
-/*
-
-MIT License
-
-Copyright (c) 2017 André L. Maravilha
-
-Permission is hereby granted, free of charge, to any person obtaining a copy
-of this software and associated documentation files (the "Software"), to deal
-in the Software without restriction, including without limitation the rights
-to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
-copies of the Software, and to permit persons to whom the Software is
-furnished to do so, subject to the following conditions:
-
-The above copyright notice and this permission notice shall be included in all
-copies or substantial portions of the Software.
-
-THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
-FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
-OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
-SOFTWARE.
-
-*/
-
-#ifndef CXX_TIMER_HPP
-#define CXX_TIMER_HPP
-
-#include <chrono>
-
-
-namespace cxxtimer {
-
-/**
- * This class works as a stopwatch.
- */
-class Timer {
-
-public:
-
-    /**
-     * Constructor.
-     *
-     * @param   start
-     *          If true, the timer is started just after construction.
-     *          Otherwise, it will not be automatically started.
-     */
-    Timer(bool start = false);
-
-    /**
-     * Copy constructor.
-     *
-     * @param   other
-     *          The object to be copied.
-     */
-    Timer(const Timer& other) = default;
-
-    /**
-     * Transfer constructor.
-     *
-     * @param   other
-     *          The object to be transferred.
-     */
-    Timer(Timer&& other) = default;
-
-    /**
-     * Destructor.
-     */
-    virtual ~Timer() = default;
-
-    /**
-     * Assignment operator by copy.
-     *
-     * @param   other
-     *          The object to be copied.
-     *
-     * @return  A reference to this object.
-     */
-    Timer& operator=(const Timer& other) = default;
-
-    /**
-     * Assignment operator by transfer.
-     *
-     * @param   other
-     *          The object to be transferred.
-     *
-     * @return  A reference to this object.
-     */
-    Timer& operator=(Timer&& other) = default;
-
-    /**
-     * Start/resume the timer.
-     */
-    void start();
-
-    /**
-     * Stop/pause the timer.
-     */
-    void stop();
-
-    /**
-     * Reset the timer.
-     */
-    void reset();
-
-    /**
-     * Return the elapsed time.
-     *
-     * @param   duration_t
-     *          The duration type used to return the time elapsed. If not
-     *          specified, it returns the time as represented by
-     *          std::chrono::milliseconds.
-     *
-     * @return  The elapsed time.
-     */
-    template <class duration_t = std::chrono::milliseconds>
-    typename duration_t::rep count() const;
-
-private:
-
-    bool started_;
-    bool paused_;
-    std::chrono::steady_clock::time_point reference_;
-    std::chrono::duration<long double> accumulated_;
-};
-
-}
-
-
-inline cxxtimer::Timer::Timer(bool start) :
-        started_(false), paused_(false),
-        reference_(std::chrono::steady_clock::now()),
-        accumulated_(std::chrono::duration<long double>(0)) {
-    if (start) {
-        this->start();
-    }
-}
-
-inline void cxxtimer::Timer::start() {
-    if (!started_) {
-        started_ = true;
-        paused_ = false;
-        accumulated_ = std::chrono::duration<long double>(0);
-        reference_ = std::chrono::steady_clock::now();
-    } else if (paused_) {
-        reference_ = std::chrono::steady_clock::now();
-        paused_ = false;
-    }
-}
-
-inline void cxxtimer::Timer::stop() {
-    if (started_ && !paused_) {
-        std::chrono::steady_clock::time_point now = std::chrono::steady_clock::now();
-        accumulated_ = accumulated_ + std::chrono::duration_cast< std::chrono::duration<long double> >(now - reference_);
-        paused_ = true;
-    }
-}
-
-inline void cxxtimer::Timer::reset() {
-    if (started_) {
-        started_ = false;
-        paused_ = false;
-        reference_ = std::chrono::steady_clock::now();
-        accumulated_ = std::chrono::duration<long double>(0);
-    }
-}
-
-template <class duration_t>
-typename duration_t::rep cxxtimer::Timer::count() const {
-    if (started_) {
-        if (paused_) {
-            return std::chrono::duration_cast<duration_t>(accumulated_).count();
-        } else {
-            return std::chrono::duration_cast<duration_t>(
-                    accumulated_ + (std::chrono::steady_clock::now() - reference_)).count();
-        }
-    } else {
-        return duration_t(0).count();
-    }
-}
-
-
-#endif

examples/dfem/dfem.hpp

@@ -1,4 +0,0 @@
-#pragma once
-
-#include "dfem_differentiable_operator.hpp"
-#include "dfem_element_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

@@ -1,820 +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_qfunction_dual.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,
-   typename autodiff_t = AutoDiff::NativeDualNumber
-   >
-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,
-                          autodiff_t ad = AutoDiff::NativeDualNumber{}) :
-      kernels(ks),
-      mesh(m),
-      dim(mesh.Dimension()),
-      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;
-
-   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,
-   typename autodiff_t
-   >
-template <
-   typename kernel_t
-   >
-void DifferentiableOperator<kernels_tuple,
-     num_solutions,
-     num_parameters,
-     num_fields,
-     num_kernels,
-     autodiff_t>::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 = kernel.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, kernel.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(kernel.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,
-   typename autodiff_t
-   >
-template <
-   size_t derivative_idx
-   >
-template <
-   typename kernel_t
-   >
-void DifferentiableOperator<kernels_tuple,
-     num_solutions,
-     num_parameters,
-     num_fields,
-     num_kernels,
-     autodiff_t>::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 = kernel.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, kernel.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(kernel.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 r = Reshape(&residual_shmem(0, q), da_size_on_qp);
-                  auto kernel_args = decay_tuple<typename kernel_t::kf_param_ts> {};
-
-                  if constexpr (std::is_same_v<autodiff_t, AutoDiff::EnzymeForward>)
-                  {
-                     auto kernel_shadow_args = decay_tuple<typename kernel_t::kf_param_ts> {};
-                     apply_kernel_fwddiff_enzyme(
-                        r,
-                        kernel.func,
-                        kernel_args,
-                        kernel_shadow_args,
-                        input_shmem,
-                        shadow_shmem,
-                        q);
-                  }
-                  else if constexpr (std::is_same_v<autodiff_t, AutoDiff::NativeDualNumber>)
-                  {
-                     apply_kernel_native_dual(
-                        r,
-                        kernel.func,
-                        kernel_args,
-                        input_shmem,
-                        shadow_shmem,
-                        q);
-                  }
-                  else
-                  {
-                     static_assert(always_false<autodiff_t>, "unknown autodiff type");
-                  }
-               }
-            }
-         }
-         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);
-      };
-   }
-}
-
-} // namespace mfem

examples/dfem/dfem_element_operator.hpp

@@ -1,79 +0,0 @@
-#include "dfem_util.hpp"
-
-namespace mfem
-{
-
-template <typename func_t, typename input_t, typename output_t, typename dependency_map_t>
-struct ElementOperator;
-
-template <typename func_t, typename... input_ts, typename... output_ts, typename dependency_map_t>
-struct ElementOperator<func_t, mfem::tuple<input_ts...>, mfem::tuple<output_ts...>, dependency_map_t>
-{
-   using entity_t = Entity::Element;
-
-   func_t qfunc;
-
-   mfem::tuple<input_ts...> inputs;
-   mfem::tuple<output_ts...> outputs;
-
-   dependency_map_t dependency_map;
-
-   using qf_param_ts = typename create_function_signature<
-                       decltype(&func_t::operator())>::type::parameter_ts;
-   using qf_output_t = typename create_function_signature<
-                       decltype(&func_t::operator())>::type::return_t;
-
-   static constexpr size_t num_inputs =
-      mfem::tuple_size<decltype(inputs)>::value;
-   static constexpr size_t num_outputs =
-      mfem::tuple_size<decltype(outputs)>::value;
-
-   ElementOperator(func_t qfunc,
-                   mfem::tuple<input_ts...> inputs,
-                   mfem::tuple<output_ts...> outputs)
-      : qfunc(qfunc), inputs(inputs), outputs(outputs),
-        dependency_map(make_dependency_map(inputs))
-   {
-      // Consistency checks
-      if constexpr (num_outputs > 1)
-      {
-         static_assert(always_false<func_t>,
-                       "more than one output per kernel is not supported right now");
-      }
-
-      constexpr size_t num_qfinputs = mfem::tuple_size<qf_param_ts>::value;
-      static_assert(num_qfinputs == num_inputs,
-                    "kernel function inputs and descriptor inputs have to match");
-
-      constexpr size_t num_qf_outputs = mfem::tuple_size<qf_output_t>::value;
-      static_assert(num_qf_outputs == num_qf_outputs,
-                    "kernel function outputs and descriptor outputs have to match");
-   }
-};
-
-template <typename func_t, typename... input_ts, typename... output_ts>
-ElementOperator(func_t, mfem::tuple<input_ts...>, mfem::tuple<output_ts...>)
--> ElementOperator<func_t, mfem::tuple<input_ts...>, mfem::tuple<output_ts...>,
-decltype(make_dependency_map(std::declval<mfem::tuple<input_ts...>>()))>;
-
-// template <typename func_t, typename input_t, typename output_t>
-// struct BoundaryElementOperator : public
-//    ElementOperator<func_t, input_t, output_t>
-// {
-// public:
-//    using entity_t = Entity::BoundaryElement;
-//    BoundaryElementOperator(func_t func, input_t inputs, output_t outputs)
-//       : ElementOperator<func_t, input_t, output_t>(func, inputs, outputs) {}
-// };
-
-// template <typename func_t, typename input_t, typename output_t>
-// struct FaceOperator : public
-//    ElementOperator<func_t, input_t, output_t>
-// {
-// public:
-//    using entity_t = Entity::Face;
-//    FaceOperator(func_t func, input_t inputs, output_t outputs)
-//       : ElementOperator<func_t, input_t, output_t>(func, inputs, outputs) {}
-// };
-
-} // namespace mfem

examples/dfem/dfem_fieldoperator.hpp

@@ -1,227 +0,0 @@
-#pragma once
-
-#include <string>
-
-namespace mfem
-{
-
-template <int FIELD_ID = -1>
-class FieldOperator
-{
-public:
-   constexpr FieldOperator(int size_on_qp = 0) :
-      size_on_qp(size_on_qp) {};
-
-   static constexpr int GetFieldId() { return FIELD_ID; }
-
-   int size_on_qp = -1;
-
-   int dim = -1;
-
-   int vdim = -1;
-};
-
-template <int FIELD_ID = -1>
-class None : public FieldOperator<FIELD_ID>
-{
-public:
-   constexpr None() : FieldOperator<FIELD_ID>() {}
-};
-
-template< typename T >
-struct is_none_fop
-{
-   static const bool value = false;
-};
-
-template <int FIELD_ID>
-struct is_none_fop<None<FIELD_ID>>
-{
-   static const bool value = true;
-};
-
-template <typename T>
-struct DisableAD
-{
-   T& operator()() const { return fop; }
-   T fop;
-};
-
-class Weight : public FieldOperator<-1>
-{
-public:
-   constexpr Weight() : FieldOperator<-1>() {};
-};
-
-template< typename T >
-struct is_weight_fop
-{
-   static const bool value = false;
-};
-
-template <>
-struct is_weight_fop<Weight>
-{
-   static const bool value = true;
-};
-
-template <int FIELD_ID = -1>
-class Value : public FieldOperator<FIELD_ID>
-{
-public:
-   constexpr Value() : FieldOperator<FIELD_ID>() {};
-};
-
-template< typename T >
-struct is_value_fop
-{
-   static const bool value = false;
-};
-
-template <int FIELD_ID>
-struct is_value_fop<Value<FIELD_ID>>
-{
-   static const bool value = true;
-};
-
-template <typename T>
-struct is_value_fop<DisableAD<T>>
-{
-   static const bool value = is_value_fop<T>::value;
-};
-
-template <int FIELD_ID = -1>
-class Gradient : public FieldOperator<FIELD_ID>
-{
-public:
-   constexpr Gradient() : FieldOperator<FIELD_ID>() {};
-};
-
-template< typename T >
-struct is_gradient_fop
-{
-   static const bool value = false;
-};
-
-template <int FIELD_ID>
-struct is_gradient_fop<Gradient<FIELD_ID>>
-{
-   static const bool value = true;
-};
-
-// 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) {}
-// };
-
-// }
-
-} // namespace mfem

examples/dfem/dfem_integrate.hpp

@@ -1,290 +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>, 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>, 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>, 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 (is_value_fop<std::decay_t<output_t>>::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 (is_gradient_fop<std::decay_t<output_t>>::value)
-   {
-      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 (is_none_fop<std::decay_t<output_t>>::value)
-   {
-      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

@@ -1,403 +0,0 @@
-#pragma once
-
-#include "dfem_util.hpp"
-
-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 (is_value_fop<std::decay_t<field_operator_t>>::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 (
-      is_gradient_fop<std::decay_t<field_operator_t>>::value)
-   {
-      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>, 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 (is_none_fop<std::decay_t<field_operator_t>>::value)
-   {
-      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 (is_value_fop<field_operator_t>::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 (is_gradient_fop<field_operator_t>::value)
-   {
-      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, 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 (is_none_fop<field_operator_t>::value)
-   {
-      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, typename field_operator_ts, size_t num_inputs, size_t num_fields>
-MFEM_HOST_DEVICE inline
-void map_fields_to_quadrature_data(
-   std::array<DeviceTensor<2>, num_inputs> &fields_qp,
-   const std::array<DeviceTensor<1>, num_fields> &fields_e,
-   const std::array<DofToQuadMap, num_inputs> &dtqmaps,
-   const std::array<int, num_inputs> &input_to_field,
-   const field_operator_ts &fops,
-   const DeviceTensor<1, const double> &integration_weights,
-   const std::array<DeviceTensor<1>, 6> &scratch_mem)
-{
-   for_constexpr<num_inputs>([&](auto i)
-   {
-      if constexpr (std::is_same_v<T, TensorProduct>)
-      {
-         map_field_to_quadrature_data_tensor_product(
-            fields_qp[i],
-            dtqmaps[i],
-            fields_e[input_to_field[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_inputs, typename field_operator_ts>
-MFEM_HOST_DEVICE
-void map_direction_to_quadrature_data_conditional(
-   std::array<DeviceTensor<2>, num_inputs> &directions_qp,
-   const DeviceTensor<1> &direction_e,
-   const std::array<DofToQuadMap, num_inputs> &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_inputs> &conditions)
-{
-   for_constexpr<num_inputs>([&](auto 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

@@ -1,253 +0,0 @@
-#pragma once
-#include "dfem_util.hpp"
-
-#ifdef MFEM_USE_ENZYME
-#include <enzyme/utils>
-#include <enzyme/enzyme>
-#endif
-
-namespace mfem
-{
-
-template <typename T0, typename T1>
-MFEM_HOST_DEVICE
-void process_kf_arg(const T0 &, T1 &)
-{
-   static_assert(always_false<T0, T1>,
-                 "process_kf_arg not implemented for arg type");
-}
-
-template <typename T>
-MFEM_HOST_DEVICE
-void process_kf_arg(
-   const DeviceTensor<1, T> &u,
-   T &arg)
-{
-   arg = u(0);
-}
-
-template <typename T>
-MFEM_HOST_DEVICE
-void process_kf_arg(
-   const DeviceTensor<1, T> &u,
-   internal::tensor<T> &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 <typename T, int n, int m>
-MFEM_HOST_DEVICE
-void process_kf_arg(
-   const DeviceTensor<1> &u,
-   internal::tensor<T, 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>
-MFEM_HOST_DEVICE
-void process_kf_arg(const DeviceTensor<2> &u, arg_type &arg, int qp)
-{
-   const auto u_qp = Reshape(&u(0, qp), u.GetShape()[0]);
-   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,
-   const 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)
-{
-   for (size_t i = 0; i < n; i++)
-   {
-      for (size_t j = 0; j < m; j++)
-      {
-         r(i + n * j) = x(i, j);
-      }
-   }
-}
-
-template <typename T>
-MFEM_HOST_DEVICE inline
-void process_kf_arg(
-   const DeviceTensor<1> &u,
-   const DeviceTensor<1> &v,
-   double &arg)
-{
-   arg = u(0);
-}
-
-template <int n, int m>
-MFEM_HOST_DEVICE 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 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)));
-}
-
-#ifdef MFEM_USE_ENZYME
-// 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>
-MFEM_HOST_DEVICE 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>
-MFEM_HOST_DEVICE 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>
-MFEM_HOST_DEVICE 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,
-   kernel_arg_ts &shadow_args,
-   const std::array<DeviceTensor<2>, num_args> &u,
-   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<> {})));
-}
-#endif // MFEM_USE_ENZYME
-
-} // namespace mfem

examples/dfem/dfem_qfunction_dual.hpp

@@ -1,187 +0,0 @@
-#pragma once
-#include "dfem_util.hpp"
-#include "dfem_qfunction.hpp"
-
-namespace mfem
-{
-
-MFEM_HOST_DEVICE
-template <typename T0, typename T1, typename T2>
-void process_kf_arg(const T0 &, const T1 &, T2 &)
-{
-   static_assert(always_false<T0, T1, T2>,
-                 "process_kf_arg not implemented for arg type");
-}
-
-template <typename T>
-MFEM_HOST_DEVICE
-void process_kf_arg(
-   const DeviceTensor<1, T> &u,
-   const DeviceTensor<1, T> &v,
-   T &arg)
-{
-   arg = u(0);
-}
-
-template <typename T, int n, int m>
-MFEM_HOST_DEVICE inline
-void process_kf_arg(
-   const DeviceTensor<1> &u,
-   internal::tensor<internal::dual<T, T>, n, m> &arg)
-{
-   for (int i = 0; i < m; i++)
-   {
-      for (int j = 0; j < n; j++)
-      {
-         arg(j, i).value = u((i * m) + j);
-      }
-   }
-}
-
-template <typename T>
-MFEM_HOST_DEVICE inline
-void process_kf_arg(
-   const DeviceTensor<1> &u,
-   internal::dual<T, T> &arg)
-{
-   arg.value = u(0);
-}
-
-template <typename T>
-MFEM_HOST_DEVICE inline
-void process_kf_arg(
-   const DeviceTensor<1> &u,
-   const DeviceTensor<1> &v,
-   internal::dual<T, T> &arg)
-{
-   arg.value = u(0);
-   arg.gradient = v(0);
-}
-
-template <typename T, int n>
-MFEM_HOST_DEVICE inline
-void process_kf_arg(
-   const DeviceTensor<1> &u,
-   const DeviceTensor<1> &v,
-   internal::tensor<internal::dual<T, T>, n> &arg)
-{
-   for (int i = 0; i < n; i++)
-   {
-      arg(i).value = u(i);
-      arg(i).gradient = v(i);
-   }
-}
-
-template <typename T, int n, int m>
-MFEM_HOST_DEVICE inline
-void process_kf_arg(
-   const DeviceTensor<1> &u,
-   const DeviceTensor<1> &v,
-   internal::tensor<internal::dual<T, T>, n, m> &arg)
-{
-   for (int i = 0; i < m; i++)
-   {
-      for (int j = 0; j < n; j++)
-      {
-         arg(j, i).value = u((i * m) + j);
-         arg(j, i).gradient = v((i * m) + j);
-      }
-   }
-}
-
-template <typename T, int n>
-MFEM_HOST_DEVICE inline
-void process_kf_result(
-   DeviceTensor<1, T> &r,
-   const internal::tensor<internal::dual<T, T>, n> &x)
-{
-   for (size_t i = 0; i < n; i++)
-   {
-      r(i) = x(i).value;
-   }
-}
-
-template <typename T, int n, int m>
-MFEM_HOST_DEVICE inline
-void process_kf_result(
-   DeviceTensor<1, T> &r,
-   const internal::tensor<internal::dual<T, T>, n, m> &x)
-{
-   for (size_t i = 0; i < n; i++)
-   {
-      for (size_t j = 0; j < m; j++)
-      {
-         r(i + n * j) = x(i, j).value;
-      }
-   }
-}
-
-template <typename arg_type>
-MFEM_HOST_DEVICE inline
-void process_kf_arg(
-   const DeviceTensor<2> &u,
-   const DeviceTensor<2> &v,
-   arg_type &arg,
-   const 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_args, typename kf_args, std::size_t... Is>
-MFEM_HOST_DEVICE inline
-void process_kf_args(
-   const std::array<DeviceTensor<2>, num_args> &u,
-   const std::array<DeviceTensor<2>, num_args> &v,
-   kf_args &args,
-   const int &qp,
-   std::index_sequence<Is...>)
-{
-   (process_kf_arg(u[Is], v[Is], mfem::get<Is>(args), qp), ...);
-}
-
-template <typename T, int n, int m>
-MFEM_HOST_DEVICE inline
-void process_derivative_from_native_dual(
-   DeviceTensor<1, T> &r,
-   const internal::tensor<internal::dual<T, T>, n, m> &x)
-{
-   for (size_t i = 0; i < n; i++)
-   {
-      for (size_t j = 0; j < m; j++)
-      {
-         r(i + n * j) = x(i, j).gradient;
-      }
-   }
-}
-
-template <typename T, int n>
-MFEM_HOST_DEVICE inline
-void process_derivative_from_native_dual(
-   DeviceTensor<1, T> &r,
-   const internal::tensor<internal::dual<T, T>, n> &x)
-{
-   for (size_t i = 0; i < n; i++)
-   {
-      r(i) = x(i).gradient;
-   }
-}
-
-template <typename kf_t, typename kernel_arg_ts, size_t num_args>
-MFEM_HOST_DEVICE inline
-void apply_kernel_native_dual(
-   DeviceTensor<1, double> &f_qp,
-   const kf_t &kf,
-   kernel_arg_ts &args,
-   const std::array<DeviceTensor<2>, num_args> &u,
-   const std::array<DeviceTensor<2>, num_args> &v,
-   const int &qp_idx)
-{
-   process_kf_args(u, v, args, qp_idx,
-                   std::make_index_sequence<mfem::tuple_size<kernel_arg_ts>::value> {});
-   auto r = mfem::get<0>(mfem::apply(kf, args));
-   process_derivative_from_native_dual(f_qp, r);
-}
-
-} // namespace mfem

examples/dfem/dfem_refactor.hpp

@@ -1,530 +0,0 @@
-#pragma once
-
-#include <mfem.hpp>
-#include <utility>
-#include "dfem_interpolate.hpp"
-#include "dfem_integrate.hpp"
-#include "dfem_qfunction.hpp"
-#include "dfem_qfunction_dual.hpp"
-#include "examples/dfem/dfem_util.hpp"
-
-namespace mfem
-{
-
-class DerivativeOperator : public Operator
-{
-   using derivative_action_t =
-      std::function<void(std::vector<Vector> &, const Vector &, Vector &)>;
-
-   using restriction_callback_t =
-      std::function<void(std::vector<Vector> &,
-                         const std::vector<Vector> &,
-                         std::vector<Vector> &)>;
-
-public:
-   DerivativeOperator(
-      const std::vector<derivative_action_t> &derivative_actions,
-      const FieldDescriptor &direction,
-      const std::vector<Vector *> &solutions_l,
-      const std::vector<Vector *> &parameters_l,
-      const std::vector<restriction_callback_t> &restriction_callbacks,
-      const std::function<void(Vector &, Vector &)> prolongation_transpose) :
-      derivative_actions(derivative_actions),
-      direction(direction),
-      restriction_callbacks(restriction_callbacks),
-      derivative_action_l(GetVSize(direction)),
-      prolongation_transpose(prolongation_transpose)
-   {
-      MFEM_ASSERT(derivative_actions.size() == restriction_callbacks.size(),
-                  "internal error");
-
-      derivative_action_l = 0.0;
-      this->solutions_l.resize(solutions_l.size());
-      this->parameters_l.resize(parameters_l.size());
-
-      for (int i = 0; i < solutions_l.size(); i++)
-      {
-         this->solutions_l[i] = *solutions_l[i];
-      }
-
-      for (int i = 0; i < parameters_l.size(); i++)
-      {
-         this->parameters_l[i] = *parameters_l[i];
-      }
-
-      fields_e.resize(solutions_l.size() + parameters_l.size());
-   }
-
-   void Mult(const Vector &x, Vector &y) const override
-   {
-      direction_t = x;
-      direction_t.SetSubVector(ess_tdof_list, 0.0);
-
-      prolongation(direction, direction_t, direction_l);
-      for (int i = 0; i < derivative_actions.size(); i++)
-      {
-         restriction_callbacks[i](solutions_l, parameters_l, fields_e);
-         derivative_actions[i](fields_e, direction_l, derivative_action_l);
-      }
-      prolongation_transpose(derivative_action_l, y);
-
-      y.SetSubVector(ess_tdof_list, 0.0);
-   };
-
-private:
-   std::vector<derivative_action_t> derivative_actions;
-
-   mutable std::vector<Vector> solutions_l;
-   std::vector<Vector> parameters_l;
-
-   FieldDescriptor direction;
-   mutable Vector direction_t;
-   mutable Vector direction_e;
-   mutable Vector direction_l;
-
-   mutable Vector derivative_action_e;
-   mutable Vector derivative_action_l;
-
-   mutable std::vector<Vector> fields_e;
-
-   Array<int> ess_tdof_list;
-   std::vector<restriction_callback_t> restriction_callbacks;
-   std::function<void(Vector &, Vector &)> prolongation_transpose;
-};
-
-class DifferentiableOperator : public Operator
-{
-   using action_t =
-      std::function<void(std::vector<Vector> &, const std::vector<Vector> &, Vector &)>;
-
-   using derivative_action_t =
-      std::function<void(std::vector<Vector> &, const Vector &, Vector &)>;
-
-   using restriction_callback_t =
-      std::function<void(std::vector<Vector> &,
-                         const std::vector<Vector> &,
-                         std::vector<Vector> &)>;
-
-public:
-   DifferentiableOperator(
-      const std::vector<FieldDescriptor> &solutions,
-      const std::vector<FieldDescriptor> &parameters,
-      const ParMesh &mesh);
-
-   void Mult(const Vector &x, Vector &y) const override
-   {
-      MFEM_ASSERT(!action_callbacks.empty(), "no integrators have been set");
-      prolongation(solutions, x, solutions_l);
-      for (auto &action : action_callbacks)
-      {
-         action(solutions_l, parameters_l, residual_l);
-      }
-      prolongation_transpose(residual_l, y);
-
-      y.SetSubVector(ess_tdof_list, 0.0);
-   }
-
-   template <
-      typename func_t,
-      typename... input_ts,
-      typename... output_ts,
-      typename derivative_indices_t>
-   void AddDomainIntegrator(
-      func_t qfunc,
-      mfem::tuple<input_ts...> inputs,
-      mfem::tuple<output_ts...> outputs,
-      const IntegrationRule &integration_rule,
-      const derivative_indices_t derivative_indices = {});
-
-   void SetParameters(std::vector<Vector *> p) const;
-
-   std::shared_ptr<DerivativeOperator> GetDerivative(
-      size_t derivative_idx,
-      std::vector<Vector *> solutions_l,
-      std::vector<Vector *> parameters_l)
-   {
-      MFEM_ASSERT(derivative_action_callbacks.find(derivative_idx) !=
-                  derivative_action_callbacks.end(),
-                  "no derivative action has been found for index " << derivative_idx);
-
-      return std::make_shared<DerivativeOperator>(
-                derivative_action_callbacks[derivative_idx],
-                fields[derivative_idx],
-                solutions_l,
-                parameters_l,
-                restriction_callbacks,
-                prolongation_transpose);
-   }
-
-private:
-   const ParMesh &mesh;
-
-   std::vector<action_t> action_callbacks;
-   std::map<size_t, std::vector<derivative_action_t>> derivative_action_callbacks;
-
-   std::vector<FieldDescriptor> solutions;
-   std::vector<FieldDescriptor> parameters;
-   // solutions and parameters
-   std::vector<FieldDescriptor> fields;
-
-   Array<int> ess_tdof_list;
-
-   mutable std::vector<Vector> solutions_l;
-   mutable std::vector<Vector> parameters_l;
-   mutable Vector residual_l;
-
-   mutable std::vector<Vector> fields_e;
-   mutable Vector residual_e;
-
-   std::function<void(Vector &, Vector &)> prolongation_transpose;
-   std::vector<restriction_callback_t> restriction_callbacks;
-};
-
-void DifferentiableOperator::SetParameters(std::vector<Vector *> p) const
-{
-   MFEM_ASSERT(parameters.size() == p.size(),
-               "number of parameters doesn't match descriptors");
-   for (int i = 0; i < parameters.size(); i++)
-   {
-      p[i]->Read();
-      parameters_l[i] = *p[i];
-   }
-}
-
-DifferentiableOperator::DifferentiableOperator(
-   const std::vector<FieldDescriptor> &solutions,
-   const std::vector<FieldDescriptor> &parameters,
-   const ParMesh &mesh) :
-   mesh(mesh),
-   solutions(solutions),
-   parameters(parameters)
-{
-   fields.resize(solutions.size() + parameters.size());
-   fields_e.resize(fields.size());
-   solutions_l.resize(solutions.size());
-   parameters_l.resize(parameters.size());
-
-   for (int i = 0; i < solutions.size(); i++)
-   {
-      fields[i] = solutions[i];
-   }
-
-   for (int i = 0; i < parameters.size(); i++)
-   {
-      fields[i + solutions.size()] = parameters[i];
-   }
-}
-
-template <
-   typename func_t,
-   typename... input_ts,
-   typename... output_ts,
-   typename derivative_indices_t = std::make_index_sequence<0>>
-void DifferentiableOperator::AddDomainIntegrator(
-   func_t qfunc,
-   mfem::tuple<input_ts...> inputs,
-   mfem::tuple<output_ts...> outputs,
-   const IntegrationRule &integration_rule,
-   const derivative_indices_t derivative_indices)
-{
-   using entity_t = Entity::Element;
-
-   static constexpr size_t num_inputs =
-      mfem::tuple_size<decltype(inputs)>::value;
-
-   static constexpr size_t num_outputs =
-      mfem::tuple_size<decltype(outputs)>::value;
-
-   using qf_param_ts = typename create_function_signature<
-                       decltype(&func_t::operator())>::type::parameter_ts;
-
-   using qf_output_t = typename create_function_signature<
-                       decltype(&func_t::operator())>::type::return_t;
-
-   // Consistency checks
-   if constexpr (num_outputs > 1)
-   {
-      static_assert(always_false<func_t>,
-                    "more than one output per kernel is not supported right now");
-   }
-
-   constexpr size_t num_qfinputs = mfem::tuple_size<qf_param_ts>::value;
-   static_assert(num_qfinputs == num_inputs,
-                 "kernel function inputs and descriptor inputs have to match");
-
-   constexpr size_t num_qf_outputs = mfem::tuple_size<qf_output_t>::value;
-   static_assert(num_qf_outputs == num_qf_outputs,
-                 "kernel function outputs and descriptor outputs have to match");
-
-   constexpr auto field_tuple = std::tuple_cat(std::tuple<input_ts...> {},
-                                               std::tuple<output_ts...> {});
-   constexpr auto filtered_field_tuple = filter_fields(field_tuple);
-   constexpr size_t num_fields = count_unique_field_ids(filtered_field_tuple);
-
-   constexpr auto dependency_map = make_dependency_map(mfem::tuple<input_ts...> {});
-
-   // Create the action callback
-   auto input_to_field = create_descriptors_to_fields_map<entity_t>(
-                            fields,
-                            inputs,
-                            std::make_index_sequence<num_inputs> {});
-
-   auto output_to_field = create_descriptors_to_fields_map<entity_t>(
-                             fields,
-                             outputs,
-                             std::make_index_sequence<num_outputs> {});
-
-   constexpr int hardcoded_output_idx = 0;
-   const int test_space_field_idx = output_to_field[hardcoded_output_idx];
-
-   ElementDofOrdering element_dof_ordering = ElementDofOrdering::LEXICOGRAPHIC;
-   DofToQuad::Mode doftoquad_mode = DofToQuad::Mode::TENSOR;
-
-   const Operator *R = get_restriction<entity_t>(fields[test_space_field_idx],
-                                                 element_dof_ordering);
-
-   // The explicit captures are necessary to avoid dependency on
-   // the specific instance of this class (this pointer).
-   auto restriction_callback =
-      [=, solutions = this->solutions, parameters = this->parameters]
-      (std::vector<Vector> &solutions_l,
-       const std::vector<Vector> &parameters_l,
-       std::vector<Vector> &fields_e)
-   {
-      restriction<entity_t>(solutions, solutions_l, fields_e,
-                            element_dof_ordering);
-      restriction<entity_t>(parameters, parameters_l, fields_e,
-                            element_dof_ordering,
-                            solutions.size());
-   };
-   restriction_callbacks.push_back(restriction_callback);
-
-   auto output_fop = mfem::get<hardcoded_output_idx>(outputs);
-
-   if constexpr (is_none_fop<decltype(output_fop)>::value)
-   {
-      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(fields[test_space_field_idx]);
-      prolongation_transpose = [P](const Vector &r_local, Vector &y)
-      {
-         P->MultTranspose(r_local, y);
-      };
-   }
-
-   const int num_elements = GetNumEntities<Entity::Element>(mesh);
-   const int num_entities = GetNumEntities<entity_t>(mesh);
-   const int num_qp = integration_rule.GetNPoints();
-
-   size_t residual_lsize = GetVSize(fields[test_space_field_idx]);
-
-   // if constexpr (std::is_same_v<decltype(output_fop), One>)
-   // {
-   //    this->width = 1;
-   // }
-   // else
-   {
-      width = residual_lsize;
-   }
-
-   residual_l.SetSize(residual_lsize);
-
-   std::vector<const DofToQuad*> dtq;
-   for (const auto &field : fields)
-   {
-      dtq.emplace_back(GetDofToQuad<entity_t>(
-                          field,
-                          integration_rule,
-                          doftoquad_mode));
-   }
-   const int q1d = (int)floor(pow(num_qp, 1.0/mesh.Dimension()) + 0.5);
-
-   residual_e.SetSize(R->Height());
-
-   const int residual_size_on_qp =
-      GetSizeOnQP<entity_t>(mfem::get<hardcoded_output_idx>(outputs),
-                            fields[test_space_field_idx]);
-
-   auto input_dtq_maps =
-      create_dtq_maps<entity_t>(inputs, dtq, input_to_field);
-   auto output_dtq_maps =
-      create_dtq_maps<entity_t>(outputs, dtq, output_to_field);
-
-   const int test_vdim = mfem::get<hardcoded_output_idx>(outputs).vdim;
-   const int test_op_dim =
-      mfem::get<hardcoded_output_idx>(inputs).size_on_qp /
-      mfem::get<hardcoded_output_idx>(outputs).vdim;
-   const int num_test_dof = R->Height() /
-                            mfem::get<hardcoded_output_idx>(outputs).vdim /
-                            num_entities;
-
-   auto ir_weights = Reshape(integration_rule.GetWeights().Read(), num_qp);
-
-   auto input_size_on_qp =
-      get_input_size_on_qp(inputs, std::make_index_sequence<num_inputs> {});
-
-   auto action_shmem_info =
-      get_shmem_info<entity_t, num_fields, num_inputs, num_outputs>
-      (input_dtq_maps, output_dtq_maps, fields, num_entities, inputs, num_qp,
-       input_size_on_qp, residual_size_on_qp);
-
-   Vector shmem_cache(action_shmem_info.total_size);
-
-   // print_shared_memory_info(action_shmem_info);
-
-   action_callbacks.push_back(
-      [=](std::vector<Vector> &solutions_l,
-          const std::vector<Vector> &parameters_l,
-          Vector &residual_l) mutable
-   {
-      restriction_callback(solutions_l, parameters_l, fields_e);
-
-      residual_e = 0.0;
-      auto ye = Reshape(residual_e.ReadWrite(), test_vdim, num_test_dof, num_entities);
-
-      auto wrapped_fields_e = wrap_fields(fields_e,
-                                          action_shmem_info.field_sizes,
-                                          num_entities);
-
-      forall([=] MFEM_HOST_DEVICE (int e, void *shmem)
-      {
-         auto [input_dtq_shmem, output_dtq_shmem, fields_shmem, input_shmem,
-                                residual_shmem, scratch_shmem] =
-         unpack_shmem(shmem, action_shmem_info, input_dtq_maps, output_dtq_maps,
-                      wrapped_fields_e, num_qp, e);
-
-         map_fields_to_quadrature_data<TensorProduct>(
-            input_shmem, fields_shmem, input_dtq_shmem, input_to_field, inputs, ir_weights,
-            scratch_shmem);
-
-         call_qfunction<TensorProduct, qf_param_ts>(
-            qfunc, input_shmem, residual_shmem,
-            residual_size_on_qp, num_qp, q1d);
-
-         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>(outputs),
-                                                      output_dtq_shmem[hardcoded_output_idx],
-                                                      scratch_shmem);
-      }, num_entities, q1d, q1d, q1d, action_shmem_info.total_size, shmem_cache.ReadWrite());
-
-      if constexpr (is_none_fop<decltype(output_fop)>::value)
-      {
-         residual_l = residual_e;
-      }
-      else
-      {
-         R->MultTranspose(residual_e, residual_l);
-      }
-   });
-
-   for_constexpr([&](auto derivative_idx)
-   {
-      // bool is_dependent = false;
-      // for_constexpr<num_inputs>([&](auto input_idx)
-      // {
-      //    constexpr auto input_is_dependent_on_field_idx =
-      //       std::get<derivative_idx>(std::get<input_idx>(dependency_map));
-
-      //    if constexpr (input_is_dependent_on_field_idx == 1)
-      //    {
-      //       is_dependent = true;
-      //    }
-      // });
-
-      // if (!is_dependent)
-      // {
-      //    derivative_action_callbacks[derivative_idx].push_back(
-      //       [=](const Vector &direction_l, Vector &y) mutable
-      //    {
-      //       y += 0.0;
-      //    });
-
-      //    return;
-      // }
-
-      auto direction = fields[derivative_idx];
-      size_t derivative_action_l_size = GetVSize(direction);
-
-      const int da_size_on_qp = GetSizeOnQP<entity_t>(
-                                   mfem::get<hardcoded_output_idx>(outputs),
-                                   fields[test_space_field_idx]);
-
-      auto shmem_info =
-         get_shmem_info<entity_t, num_fields, num_inputs, num_outputs>
-         (input_dtq_maps, output_dtq_maps, fields, num_entities, inputs, num_qp,
-          input_size_on_qp, residual_size_on_qp, derivative_idx);
-
-      Vector shmem_cache(shmem_info.total_size);
-
-      // print_shared_memory_info(shmem_info);
-
-      Vector direction_e;
-      Vector derivative_action_e(R->Height());
-      derivative_action_e = 0.0;
-
-      auto input_is_dependent = get_array_from_tuple(std::get<derivative_idx>
-                                                     (dependency_map));
-
-      derivative_action_callbacks[derivative_idx].push_back(
-         [=](std::vector<Vector> &fields_e, const Vector &direction_l,
-             Vector &derivative_action_l) mutable
-      {
-         restriction<entity_t>(direction, direction_l, direction_e, element_dof_ordering);
-         auto ye = Reshape(derivative_action_e.ReadWrite(), num_test_dof, test_vdim, num_entities);
-         auto wrapped_fields_e = wrap_fields(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, output_dtq_shmem, fields_shmem, direction_shmem,
-                                   input_shmem, shadow_shmem, residual_shmem, scratch_shmem] =
-            unpack_shmem(shmem, shmem_info, input_dtq_maps,
-                         output_dtq_maps, wrapped_fields_e, wrapped_direction_e, num_qp, e);
-
-            map_fields_to_quadrature_data<TensorProduct>(
-               input_shmem, fields_shmem, input_dtq_shmem, input_to_field, inputs, ir_weights,
-               scratch_shmem);
-
-            zero_all(shadow_shmem);
-            map_direction_to_quadrature_data_conditional<TensorProduct>(
-               shadow_shmem, direction_shmem, input_dtq_shmem, inputs, ir_weights,
-               scratch_shmem, input_is_dependent);
-
-            call_qfunction_derivative_action<TensorProduct, qf_param_ts>(
-               qfunc, input_shmem, shadow_shmem, residual_shmem,
-               da_size_on_qp, num_qp, q1d);
-
-            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>(outputs),
-                                                         output_dtq_shmem[hardcoded_output_idx],
-                                                         scratch_shmem);
-         }, num_entities, q1d, q1d, q1d, shmem_info.total_size, shmem_cache.ReadWrite());
-
-         R->MultTranspose(derivative_action_e, derivative_action_l);
-      });
-   }, derivative_indices);
-}
-
-
-} // namespace mfem
-
-// #include "dfem_refactor_action.hpp"
-// #include "dfem_refactor_derivatives.hpp"

examples/dfem/dfem_refactor_action.hpp

@@ -1,232 +0,0 @@
-#pragma once
-
-#include "dfem_refactor.hpp"
-
-namespace mfem
-{
-
-template <typename element_operator_t, size_t num_fields>
-void DifferentiableOperator::instantiate_action(
-   element_operator_t element_operator, action_t &action)
-{
-   using entity_t = typename element_operator_t::entity_t;
-
-   auto kinput_to_field = create_descriptors_to_fields_map<entity_t>(
-                             fields,
-                             element_operator.inputs,
-                             std::make_index_sequence<element_operator.num_inputs> {});
-
-   auto koutput_to_field = create_descriptors_to_fields_map<entity_t>(
-                              fields,
-                              element_operator.outputs,
-                              std::make_index_sequence<element_operator.num_outputs> {});
-
-   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>(fields[test_space_field_idx],
-                                                 element_dof_ordering);
-
-   auto output_fop = mfem::get<hardcoded_output_idx>(element_operator.outputs);
-
-   const int num_elements = GetNumEntities<Entity::Element>(mesh);
-   const int num_entities = GetNumEntities<entity_t>(mesh);
-   const int num_qp = integration_rule.GetNPoints();
-
-   this->width = GetTrueVSize(fields[test_space_field_idx]);
-   size_t residual_lsize = GetVSize(fields[test_space_field_idx]);
-
-   // if constexpr (std::is_same_v<decltype(output_fop), One>)
-   // {
-   //    this->width = 1;
-   // }
-   // else
-   {
-      this->width = residual_lsize;
-   }
-
-   residual_l.SetSize(residual_lsize);
-
-   // assume only a single element type for now
-   std::vector<const DofToQuad*> dtq;
-   for (const auto &field : fields)
-   {
-      dtq.emplace_back(GetDofToQuad<entity_t>(
-                          field,
-                          integration_rule,
-                          doftoquad_mode));
-   }
-   const int q1d = (int)floor(pow(num_qp, 1.0/mesh.Dimension()) + 0.5);
-
-   residual_e.SetSize(R->Height());
-
-   const int residual_size_on_qp = GetSizeOnQP<entity_t>(
-                                      mfem::get<hardcoded_output_idx>(element_operator.outputs),
-                                      fields[test_space_field_idx]);
-
-   auto input_dtq_maps = create_dtq_maps<entity_t>(element_operator.inputs, dtq,
-                                                   kinput_to_field);
-   auto output_dtq_maps = create_dtq_maps<entity_t>(element_operator.outputs, dtq,
-                                                    koutput_to_field);
-
-   // auto input_fops = create_bare_fops(element_operator.inputs);
-   // auto output_fops = create_bare_fops(element_operator.outputs);
-
-   const int test_vdim = mfem::get<hardcoded_output_idx>
-                         (element_operator.outputs).vdim;
-   const int test_op_dim =
-      mfem::get<hardcoded_output_idx>(element_operator.inputs).size_on_qp /
-      mfem::get<hardcoded_output_idx>(element_operator.outputs).vdim;
-   const int num_test_dof = R->Height() /
-                            mfem::get<hardcoded_output_idx>(element_operator.outputs).vdim /
-                            num_entities;
-
-   auto ir_weights = Reshape(integration_rule.GetWeights().Read(), num_qp);
-
-   auto input_size_on_qp = get_input_size_on_qp(
-                              element_operator.inputs,
-                              std::make_index_sequence<element_operator.num_inputs> {});
-
-   auto shmem_info =
-      get_shmem_info<entity_t, num_fields, element_operator.num_inputs, element_operator.num_outputs>
-      (input_dtq_maps,
-       output_dtq_maps,
-       fields,
-       num_entities,
-       element_operator.inputs,
-       num_qp,
-       input_size_on_qp,
-       residual_size_on_qp);
-
-   Vector shmem_cache(shmem_info.total_size);
-
-   print_shared_memory_info(shmem_info);
-
-   action = [=](const Vector &x, Vector &y) mutable
-   {
-      prolongation(solutions, x, solutions_l);
-
-      restriction<entity_t>(solutions, solutions_l, this->fields_e,
-                            element_dof_ordering);
-      restriction<entity_t>(parameters, parameters_l, this->fields_e,
-                            element_dof_ordering,
-                            solutions.size());
-
-      residual_e = 0.0;
-      auto ye = Reshape(residual_e.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,
-            element_operator.inputs,
-            wrapped_fields_e,
-            e,
-         std::make_index_sequence<element_operator.num_inputs> {});
-
-         // 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, element_operator.inputs, ir_weights,
-            scratch_mem,
-            std::make_index_sequence<element_operator.num_inputs> {});
-         // 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 qf_args = decay_tuple<typename element_operator_t::qf_param_ts> {};
-                  auto r = Reshape(&residual_shmem(0, q), residual_size_on_qp);
-                  apply_kernel(r, element_operator.qfunc, qf_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>(element_operator.outputs),
-                                                      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 = y;
-      }
-      else
-      {
-         R->MultTranspose(residual_e, residual_l);
-      }
-
-      if constexpr (std::is_same_v<decltype(output_fop), None<>>)
-      {
-         y = residual_l;
-      }
-      // else if constexpr (std::is_same_v<decltype(output_fop), One>)
-      // {
-      //    double local_sum = residual_l.Sum();
-      //    MPI_Allreduce(&local_sum, y.GetData(), 1, MPI_DOUBLE, MPI_SUM, mesh.GetComm());
-      //    MFEM_ASSERT(y.Size() == 1, "output size doesn't match kernel description");
-      // }
-      else
-      {
-         get_prolongation(fields[test_space_field_idx])->MultTranspose(residual_l, y);
-      }
-   };
-}
-
-}

examples/dfem/dfem_refactor_derivatives.hpp

@@ -1,132 +0,0 @@
-#pragma once
-
-#include "dfem_refactor.hpp"
-
-template<typename T, T... Ints>
-void print_sequence(std::integer_sequence<T, Ints...>)
-{
-   ((std::cout << Ints << " "), ...);
-   std::cout << std::endl;
-}
-
-namespace mfem
-{
-
-template <
-   typename element_operator_t,
-   size_t num_solutions,
-   size_t num_parameters,
-   size_t derivative_idx>
-DerivativeOperator::DerivativeOperator(
-   element_operator_t element_operator,
-   const std::array<FieldDescriptor, num_solutions> &solutions,
-   const std::array<FieldDescriptor, num_parameters> &parameters,
-   const std::vector<FieldDescriptor> &fields,
-   ParMesh &mesh,
-   const IntegrationRule &integration_rule,
-   const ElementDofOrdering &element_dof_ordering,
-   const DofToQuad::Mode &doftoquad_mode,
-   std::integral_constant<size_t, derivative_idx>)
-{
-   direction = fields[derivative_idx];
-
-   size_t derivative_action_l_size = 0;
-   for (auto &s : 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);
-
-   constexpr size_t num_fields = num_solutions + num_parameters;
-   using entity_t = typename element_operator_t::entity_t;
-
-   auto kinput_to_field = create_descriptors_to_fields_map<entity_t>(
-                             fields,
-                             element_operator.inputs,
-                             std::make_index_sequence<element_operator.num_inputs> {});
-
-   auto koutput_to_field = create_descriptors_to_fields_map<entity_t>(
-                              fields,
-                              element_operator.outputs,
-                              std::make_index_sequence<element_operator.num_outputs> {});
-
-   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>(fields[test_space_field_idx],
-                                                 element_dof_ordering);
-
-   auto output_fop = mfem::get<hardcoded_output_idx>(element_operator.outputs);
-
-   const int num_elements = GetNumEntities<Entity::Element>(mesh);
-   const int num_entities = GetNumEntities<entity_t>(mesh);
-   const int num_qp = integration_rule.GetNPoints();
-
-   // assume only a single element type for now
-   std::vector<const DofToQuad*> dtq;
-   for (const auto &field : fields)
-   {
-      dtq.emplace_back(GetDofToQuad<entity_t>(
-                          field,
-                          integration_rule,
-                          doftoquad_mode));
-   }
-   const int q1d = (int)floor(pow(num_qp, 1.0/mesh.Dimension()) + 0.5);
-
-   derivative_action_e.SetSize(R->Height());
-
-   const int da_size_on_qp = GetSizeOnQP<entity_t>(
-                                mfem::get<hardcoded_output_idx>(element_operator.outputs),
-                                fields[test_space_field_idx]);
-
-   auto input_dtq_maps = create_dtq_maps<entity_t>(element_operator.inputs, dtq,
-                                                   kinput_to_field);
-   auto output_dtq_maps = create_dtq_maps<entity_t>(element_operator.outputs, dtq,
-                                                    koutput_to_field);
-
-   const int test_vdim = mfem::get<hardcoded_output_idx>
-                         (element_operator.outputs).vdim;
-   const int test_op_dim =
-      mfem::get<hardcoded_output_idx>(element_operator.inputs).size_on_qp /
-      mfem::get<hardcoded_output_idx>(element_operator.outputs).vdim;
-   const int num_test_dof = R->Height() /
-                            mfem::get<hardcoded_output_idx>(element_operator.outputs).vdim /
-                            num_entities;
-
-   auto ir_weights = Reshape(integration_rule.GetWeights().Read(), num_qp);
-
-   auto input_size_on_qp = get_input_size_on_qp(
-                              element_operator.inputs,
-                              std::make_index_sequence<element_operator.num_inputs> {});
-
-   auto input_is_dependent = std::get<derivative_idx>
-                             (element_operator.dependency_map);
-
-   constexpr bool with_derivatives = true;
-   auto shmem_info =
-      get_shmem_info<entity_t, num_fields, element_operator.num_inputs, element_operator.num_outputs>
-      (input_dtq_maps,
-       output_dtq_maps,
-       fields,
-       num_entities,
-       element_operator.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);
-
-   action_callback = [=](const Vector &x, Vector &y) mutable
-   {
-      restriction<entity_t>(direction, direction_l, direction_e,
-                            element_dof_ordering);
-
-   };
-}
-
-} // namespace mfem

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_refactor.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/old_derivative_action_callback.icc

@@ -1,188 +0,0 @@
-{
-   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> {});
-
-   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);
-
-   Vector shmem_cache(shmem_info.total_size);
-
-   func = [=](Vector &ye_mem) mutable
-   {
-      restriction<entity_t>(direction, direction_l, direction_e,
-                            op.element_dof_ordering, derivative_idx);
-
-      // Check which qf inputs are dependent on the dependent variable
-      std::array<bool, kernel.num_kinputs> kinput_is_dependent;
-      bool no_qfinput_is_dependent = true;
-      for (int i = 0; i < kinput_is_dependent.size(); i++)
-      {
-         if (kinput_to_field[i] == derivative_idx)
-         {
-            no_qfinput_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_qfinput_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> {});
-
-      // constexpr int fixed_output_idx = 0;
-      // auto Bv = output_dtq_maps[fixed_output_idx];
-      // auto [num_test_qp, test_op_dim, num_test_dof] = Bv.GetShape();
-      // const int test_vdim = mfem::get<0>(kernel.outputs).vdim;
-      // DeviceTensor<3> ye = Reshape(ye_mem.ReadWrite(), num_test_dof, test_vdim, num_entities);
-
-      forall([=] MFEM_HOST_DEVICE (int e, double *shmem)
-      {
-         // map_fields_to_quadrature_data(
-         //    input_qp, e, this->fields_e,
-         //    kinput_to_field, input_dtq_maps,
-         //    integration_weights, geometric_factors, kernel.inputs,
-         //    std::make_index_sequence<kernel.num_kinputs> {});
-
-         // map_fields_to_quadrature_data_conditional(
-         //    directions_qp, e,
-         //    directions_e, kinput_to_field,
-         //    input_dtq_maps,
-         //    integration_weights,
-         //    geometric_factors,
-         //    kinput_is_dependent,
-         //    kernel.inputs,
-         //    std::make_index_sequence<kernel.num_kinputs> {});
-
-         // for (int qp = 0; qp < num_qp; qp++)
-         // {
-         //    auto f_qp = apply_kernel_fwddiff_enzyme(
-         //                   kernel.func,
-         //                   kernel_args,
-         //                   input_qp,
-         //                   kernel_shadow_args,
-         //                   directions_qp,
-         //                   qp);
-
-         //    auto r_qp = Reshape(&da_qp(0, qp, e), da_size_on_qp);
-         //    for (int i = 0; i < da_size_on_qp; i++)
-         //    {
-         //       r_qp(i) = f_qp(i);
-         //    }
-         // }
-
-         // DeviceTensor<3> fhat = Reshape(&da_qp(0, 0, e), test_vdim, test_op_dim, num_qp);
-         // DeviceTensor<2> y = Reshape(&ye(0, 0, e), num_test_dof, test_vdim);
-         // map_quadrature_data_to_fields(y, fhat,
-         //                               output_fop,
-         //                               output_dtq_maps[hardcoded_output_idx]);
-      }, num_entities, q1d, q1d, 1, shmem_info.total_size, shmem_cache.GetData());
-
-      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](Vector &r_l, Vector &y)
-      {
-         P->MultTranspose(r_l, y);
-      };
-   }

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;
-using mfem::internal::dual;
-
-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<dual<real_t, real_t>, 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<dual<real_t, real_t>, 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_diffusion_3d_refactor.cpp

@@ -1,309 +0,0 @@
-#include "dfem/dfem_test_macro.hpp"
-#include "examples/dfem/dfem_fieldoperator.hpp"
-#include "examples/dfem/dfem_refactor.hpp"
-#include "fem/bilininteg.hpp"
-#include "general/tic_toc.hpp"
-#include <utility>
-
-using namespace mfem;
-using mfem::internal::tensor;
-using mfem::internal::dual;
-
-int test_diffusion_3d(
-   std::string mesh_file, int refinements, int polynomial_order)
-{
-   constexpr int num_samples = 100;
-   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());
-   {
-      std::shared_ptr<DerivativeOperator> dpotential;
-      {
-         auto diffusion_mf_kernel =
-            [] MFEM_HOST_DEVICE (
-               const tensor<real_t, dim>& dudxi,
-               const tensor<real_t, dim, dim>& J,
-               const real_t& w)
-         {
-            auto invJ = inv(J);
-            return mfem::tuple{dudxi * invJ * transpose(invJ) * det(J) * w};
-         };
-
-         constexpr int Potential = 0;
-         constexpr int Coordinates = 1;
-
-         auto input_operators = mfem::tuple{Gradient<Potential>{}, Gradient<Coordinates>{}, Weight{}};
-         auto output_operator = mfem::tuple{Gradient<Potential>{}};
-
-         auto solutions = std::vector{FieldDescriptor{Potential, &h1fes}};
-         auto parameters = std::vector{FieldDescriptor{Coordinates, &mesh_fes}};
-
-         DifferentiableOperator dop(solutions, parameters, mesh);
-         auto derivatives = std::integer_sequence<size_t, Potential> {};
-         dop.AddDomainIntegrator(
-            diffusion_mf_kernel, input_operators, output_operator, ir, derivatives);
-
-         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();
-
-         dpotential = dop.GetDerivative(Potential, {&f1_g}, {mesh_nodes});
-      }
-      dpotential->Mult(x, y);
-   }
-
-   {
-      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};
-      };
-
-      constexpr int Potential = 0;
-      constexpr int Coordinates = 1;
-      constexpr int QData = 2;
-
-      auto input_operators = mfem::tuple{Gradient<Coordinates>{}, Weight{}};
-      auto output_operator = mfem::tuple{None<QData>{}};
-
-      auto solutions = std::vector{FieldDescriptor{Potential, &h1fes}};
-      auto parameters = std::vector{FieldDescriptor{Coordinates, &mesh_fes},
-                                    FieldDescriptor{QData, &qdata_space}};
-
-      DifferentiableOperator dop(solutions, parameters, mesh);
-      dop.AddDomainIntegrator(
-         diffusion_setup_kernel, input_operators, output_operator, 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<real_t, dim>& dudxi,
-            const tensor<double, dim, dim>& qdata)
-      {
-         return mfem::tuple{dudxi * qdata};
-      };
-
-      constexpr int Potential = 0;
-      constexpr int QData = 1;
-
-      auto input_operators = mfem::tuple{Gradient<Potential>{}, None<QData>{}};
-      auto output_operator = mfem::tuple{Gradient<Potential>{}};
-
-      auto solutions = std::vector{FieldDescriptor{Potential, &h1fes}};
-      auto parameters = std::vector{FieldDescriptor{QData, &qdata_space}};
-
-      DifferentiableOperator dop(solutions, parameters, mesh);
-      dop.AddDomainIntegrator(
-         diffusion_apply_kernel, input_operators, output_operator, 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();
-      y2 = 0.0;
-      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

@@ -1,267 +0,0 @@
-#include "dfem/dfem.hpp"
-#include "dfem/dfem_test_macro.hpp"
-#include <fstream>
-
-using namespace mfem;
-using mfem::internal::tensor;
-using mfem::internal::dual;
-
-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<dual<real_t, real_t>, dim, dim> &dudxi,
-                             const tensor<real_t, dim, dim> &J,
-                             const real_t &w)
-   {
-      // shear modulus
-      real_t D1{0.1e6};
-      // bulk modulus
-      real_t C1{1.0e6};
-      constexpr auto I = mfem::internal::IsotropicIdentity<dim>();
-      auto invJ = inv(J);
-      auto dudx = dudxi * invJ;
-      auto F = det(I + dudx);
-      auto 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"}};
-
-   // B^T D(B0*dudxi, B1*J, B2*w)
-   ElementOperator op(elasticity_kernel, argument_operators, output_operator, ir);
-
-   std::array solutions{FieldDescriptor{&h1fes, "displacement"}};
-   std::array parameters{FieldDescriptor{&mesh_fes, "coordinates"}};
-
-   DifferentiableOperator dop(solutions, parameters, mfem::tuple{op}, mesh,
-                              AutoDiff::NativeDualNumber{});
-
-   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/ex10.cpp

@@ -3,14 +3,14 @@
 // Compile with: make ex10
 //
 // Sample runs:
-//    ex10 -m ../data/beam-quad.mesh -s 3 -r 2 -o 2 -dt 3
-//    ex10 -m ../data/beam-tri.mesh -s 3 -r 2 -o 2 -dt 3
-//    ex10 -m ../data/beam-hex.mesh -s 2 -r 1 -o 2 -dt 3
-//    ex10 -m ../data/beam-tet.mesh -s 2 -r 1 -o 2 -dt 3
-//    ex10 -m ../data/beam-wedge.mesh -s 2 -r 1 -o 2 -dt 3
-//    ex10 -m ../data/beam-quad.mesh -s 14 -r 2 -o 2 -dt 0.03 -vs 20
-//    ex10 -m ../data/beam-hex.mesh -s 14 -r 1 -o 2 -dt 0.05 -vs 20
-//    ex10 -m ../data/beam-quad-amr.mesh -s 3 -r 2 -o 2 -dt 3
+//    ex10 -m ../data/beam-quad.mesh -s 23 -r 2 -o 2 -dt 3
+//    ex10 -m ../data/beam-tri.mesh -s 23 -r 2 -o 2 -dt 3
+//    ex10 -m ../data/beam-hex.mesh -s 22 -r 1 -o 2 -dt 3
+//    ex10 -m ../data/beam-tet.mesh -s 22 -r 1 -o 2 -dt 3
+//    ex10 -m ../data/beam-wedge.mesh -s 22 -r 1 -o 2 -dt 3
+//    ex10 -m ../data/beam-quad.mesh -s 4 -r 2 -o 2 -dt 0.03 -vs 20
+//    ex10 -m ../data/beam-hex.mesh -s 4 -r 1 -o 2 -dt 0.05 -vs 20
+//    ex10 -m ../data/beam-quad-amr.mesh -s 23 -r 2 -o 2 -dt 3
 //
 // Description:  This examples solves a time dependent nonlinear elasticity
 //               problem of the form dv/dt = H(x) + S v, dx/dt = v, where H is a
@@ -87,16 +87,16 @@ public:
                         real_t visc, real_t mu, real_t K);
 
    /// Compute the right-hand side of the ODE system.
-   virtual void Mult(const Vector &vx, Vector &dvx_dt) const;
+   void Mult(const Vector &vx, Vector &dvx_dt) const override;
    /** Solve the Backward-Euler equation: k = f(x + dt*k, t), for the unknown k.
        This is the only requirement for high-order SDIRK implicit integration.*/
-   virtual void ImplicitSolve(const real_t dt, const Vector &x, Vector &k);
+   void ImplicitSolve(const real_t dt, const Vector &x, Vector &k) override;
 
    real_t ElasticEnergy(const Vector &x) const;
    real_t KineticEnergy(const Vector &v) const;
    void GetElasticEnergyDensity(const GridFunction &x, GridFunction &w) const;
 
-   virtual ~HyperelasticOperator();
+   ~HyperelasticOperator() override;
 };
 
 /** Nonlinear operator of the form:
@@ -120,12 +120,12 @@ public:
    void SetParameters(real_t dt_, const Vector *v_, const Vector *x_);
 
    /// Compute y = H(x + dt (v + dt k)) + M k + S (v + dt k).
-   virtual void Mult(const Vector &k, Vector &y) const;
+   void Mult(const Vector &k, Vector &y) const override;
 
    /// Compute J = M + dt S + dt^2 grad_H(x + dt (v + dt k)).
-   virtual Operator &GetGradient(const Vector &k) const;
+   Operator &GetGradient(const Vector &k) const override;
 
-   virtual ~ReducedSystemOperator();
+   ~ReducedSystemOperator() override;
 };
 
 
@@ -141,8 +141,8 @@ private:
 public:
    ElasticEnergyCoefficient(HyperelasticModel &m, const GridFunction &x_)
       : model(m), x(x_) { }
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
-   virtual ~ElasticEnergyCoefficient() { }
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
+   ~ElasticEnergyCoefficient() override { }
 };
 
 void InitialDeformation(const Vector &x, Vector &y);
@@ -160,7 +160,7 @@ int main(int argc, char *argv[])
    const char *mesh_file = "../data/beam-quad.mesh";
    int ref_levels = 2;
    int order = 2;
-   int ode_solver_type = 3;
+   int ode_solver_type = 23;
    real_t t_final = 300.0;
    real_t dt = 3.0;
    real_t visc = 1e-2;
@@ -177,11 +177,7 @@ int main(int argc, char *argv[])
    args.AddOption(&order, "-o", "--order",
                   "Order (degree) of the finite elements.");
    args.AddOption(&ode_solver_type, "-s", "--ode-solver",
-                  "ODE solver: 1 - Backward Euler, 2 - SDIRK2, 3 - SDIRK3,\n\t"
-                  "            11 - Forward Euler, 12 - RK2,\n\t"
-                  "            13 - RK3 SSP, 14 - RK4."
-                  "            22 - Implicit Midpoint Method,\n\t"
-                  "            23 - SDIRK23 (A-stable), 24 - SDIRK34");
+                  ODESolver::Types.c_str());
    args.AddOption(&t_final, "-tf", "--t-final",
                   "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
@@ -213,28 +209,7 @@ int main(int argc, char *argv[])
    // 3. Define the ODE solver used for time integration. Several implicit
    //    singly diagonal implicit Runge-Kutta (SDIRK) methods, as well as
    //    explicit Runge-Kutta methods are available.
-   ODESolver *ode_solver;
-   switch (ode_solver_type)
-   {
-      // Implicit L-stable methods
-      case 1: ode_solver = new BackwardEulerSolver; break;
-      case 2: ode_solver = new SDIRK23Solver(2); break;
-      case 3: ode_solver = new SDIRK33Solver; break;
-      // Explicit methods
-      case 11: ode_solver = new ForwardEulerSolver; break;
-      case 12: ode_solver = new RK2Solver(0.5); break; // midpoint method
-      case 13: ode_solver = new RK3SSPSolver; break;
-      case 14: ode_solver = new RK4Solver; break;
-      case 15: ode_solver = new GeneralizedAlphaSolver(0.5); break;
-      // Implicit A-stable methods (not L-stable)
-      case 22: ode_solver = new ImplicitMidpointSolver; break;
-      case 23: ode_solver = new SDIRK23Solver; break;
-      case 24: ode_solver = new SDIRK34Solver; break;
-      default:
-         cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
-         delete mesh;
-         return 3;
-   }
+   unique_ptr<ODESolver> ode_solver = ODESolver::Select(ode_solver_type);
 
    // 4. Refine the mesh to increase the resolution. In this example we do
    //    'ref_levels' of uniform refinement, where 'ref_levels' is a
@@ -371,7 +346,6 @@ int main(int argc, char *argv[])
    }
 
    // 10. Free the used memory.
-   delete ode_solver;
    delete mesh;
 
    return 0;

examples/ex10p.cpp

@@ -3,14 +3,14 @@
 // Compile with: make ex10p
 //
 // Sample runs:
-//    mpirun -np 4 ex10p -m ../data/beam-quad.mesh -s 3 -rs 2 -dt 3
-//    mpirun -np 4 ex10p -m ../data/beam-tri.mesh -s 3 -rs 2 -dt 3
-//    mpirun -np 4 ex10p -m ../data/beam-hex.mesh -s 2 -rs 1 -dt 3
-//    mpirun -np 4 ex10p -m ../data/beam-tet.mesh -s 2 -rs 1 -dt 3
-//    mpirun -np 4 ex10p -m ../data/beam-wedge.mesh -s 2 -rs 1 -dt 3
-//    mpirun -np 4 ex10p -m ../data/beam-quad.mesh -s 14 -rs 2 -dt 0.03 -vs 20
-//    mpirun -np 4 ex10p -m ../data/beam-hex.mesh -s 14 -rs 1 -dt 0.05 -vs 20
-//    mpirun -np 4 ex10p -m ../data/beam-quad-amr.mesh -s 3 -rs 2 -dt 3
+//    mpirun -np 4 ex10p -m ../data/beam-quad.mesh -s 23 -rs 2 -dt 3
+//    mpirun -np 4 ex10p -m ../data/beam-tri.mesh -s 23 -rs 2 -dt 3
+//    mpirun -np 4 ex10p -m ../data/beam-hex.mesh -s 22 -rs 1 -dt 3
+//    mpirun -np 4 ex10p -m ../data/beam-tet.mesh -s 22 -rs 1 -dt 3
+//    mpirun -np 4 ex10p -m ../data/beam-wedge.mesh -s 22 -rs 1 -dt 3
+//    mpirun -np 4 ex10p -m ../data/beam-quad.mesh -s 4 -rs 2 -dt 0.03 -vs 20
+//    mpirun -np 4 ex10p -m ../data/beam-hex.mesh -s 4 -rs 1 -dt 0.05 -vs 20
+//    mpirun -np 4 ex10p -m ../data/beam-quad-amr.mesh -s 23 -rs 2 -dt 3
 //
 // Description:  This examples solves a time dependent nonlinear elasticity
 //               problem of the form dv/dt = H(x) + S v, dx/dt = v, where H is a
@@ -89,17 +89,17 @@ public:
                         real_t visc, real_t mu, real_t K);
 
    /// Compute the right-hand side of the ODE system.
-   virtual void Mult(const Vector &vx, Vector &dvx_dt) const;
+   void Mult(const Vector &vx, Vector &dvx_dt) const override;
    /** Solve the Backward-Euler equation: k = f(x + dt*k, t), for the unknown k.
        This is the only requirement for high-order SDIRK implicit integration.*/
-   virtual void ImplicitSolve(const real_t dt, const Vector &x, Vector &k);
+   void ImplicitSolve(const real_t dt, const Vector &x, Vector &k) override;
 
    real_t ElasticEnergy(const ParGridFunction &x) const;
    real_t KineticEnergy(const ParGridFunction &v) const;
    void GetElasticEnergyDensity(const ParGridFunction &x,
                                 ParGridFunction &w) const;
 
-   virtual ~HyperelasticOperator();
+   ~HyperelasticOperator() override;
 };
 
 /** Nonlinear operator of the form:
@@ -125,12 +125,12 @@ public:
    void SetParameters(real_t dt_, const Vector *v_, const Vector *x_);
 
    /// Compute y = H(x + dt (v + dt k)) + M k + S (v + dt k).
-   virtual void Mult(const Vector &k, Vector &y) const;
+   void Mult(const Vector &k, Vector &y) const override;
 
    /// Compute J = M + dt S + dt^2 grad_H(x + dt (v + dt k)).
-   virtual Operator &GetGradient(const Vector &k) const;
+   Operator &GetGradient(const Vector &k) const override;
 
-   virtual ~ReducedSystemOperator();
+   ~ReducedSystemOperator() override;
 };
 
 
@@ -146,8 +146,8 @@ private:
 public:
    ElasticEnergyCoefficient(HyperelasticModel &m, const ParGridFunction &x_)
       : model(m), x(x_) { }
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
-   virtual ~ElasticEnergyCoefficient() { }
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
+   ~ElasticEnergyCoefficient() override { }
 };
 
 void InitialDeformation(const Vector &x, Vector &y);
@@ -172,7 +172,7 @@ int main(int argc, char *argv[])
    int ser_ref_levels = 2;
    int par_ref_levels = 0;
    int order = 2;
-   int ode_solver_type = 3;
+   int ode_solver_type = 23;
    real_t t_final = 300.0;
    real_t dt = 3.0;
    real_t visc = 1e-2;
@@ -192,11 +192,7 @@ int main(int argc, char *argv[])
    args.AddOption(&order, "-o", "--order",
                   "Order (degree) of the finite elements.");
    args.AddOption(&ode_solver_type, "-s", "--ode-solver",
-                  "ODE solver: 1 - Backward Euler, 2 - SDIRK2, 3 - SDIRK3,\n\t"
-                  "            11 - Forward Euler, 12 - RK2,\n\t"
-                  "            13 - RK3 SSP, 14 - RK4."
-                  "            22 - Implicit Midpoint Method,\n\t"
-                  "            23 - SDIRK23 (A-stable), 24 - SDIRK34");
+                  ODESolver::Types.c_str());
    args.AddOption(&t_final, "-tf", "--t-final",
                   "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
@@ -238,31 +234,7 @@ int main(int argc, char *argv[])
    // 4. Define the ODE solver used for time integration. Several implicit
    //    singly diagonal implicit Runge-Kutta (SDIRK) methods, as well as
    //    explicit Runge-Kutta methods are available.
-   ODESolver *ode_solver;
-   switch (ode_solver_type)
-   {
-      // Implicit L-stable methods
-      case 1:  ode_solver = new BackwardEulerSolver; break;
-      case 2:  ode_solver = new SDIRK23Solver(2); break;
-      case 3:  ode_solver = new SDIRK33Solver; break;
-      // Explicit methods
-      case 11: ode_solver = new ForwardEulerSolver; break;
-      case 12: ode_solver = new RK2Solver(0.5); break; // midpoint method
-      case 13: ode_solver = new RK3SSPSolver; break;
-      case 14: ode_solver = new RK4Solver; break;
-      case 15: ode_solver = new GeneralizedAlphaSolver(0.5); break;
-      // Implicit A-stable methods (not L-stable)
-      case 22: ode_solver = new ImplicitMidpointSolver; break;
-      case 23: ode_solver = new SDIRK23Solver; break;
-      case 24: ode_solver = new SDIRK34Solver; break;
-      default:
-         if (myid == 0)
-         {
-            cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
-         }
-         delete mesh;
-         return 3;
-   }
+   unique_ptr<ODESolver> ode_solver = ODESolver::Select(ode_solver_type);
 
    // 5. 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
@@ -433,7 +405,6 @@ int main(int argc, char *argv[])
    }
 
    // 12. Free the used memory.
-   delete ode_solver;
    delete pmesh;
 
    return 0;

examples/ex14p.cpp

@@ -53,7 +53,7 @@ public:
       pmesh(pmesh_),
       pgf(pgf_) {}
 
-   void MonitorSolution(int i, real_t norm, const Vector &x, bool final)
+   void MonitorSolution(int i, real_t norm, const Vector &x, bool final) override
    {
       char vishost[] = "localhost";
       int  visport   = 19916;

examples/ex16.cpp

@@ -5,10 +5,10 @@
 // Sample runs:  ex16
 //               ex16 -m ../data/inline-tri.mesh
 //               ex16 -m ../data/disc-nurbs.mesh -tf 2
-//               ex16 -s 1 -a 0.0 -k 1.0
-//               ex16 -s 2 -a 1.0 -k 0.0
-//               ex16 -s 3 -a 0.5 -k 0.5 -o 4
-//               ex16 -s 14 -dt 1.0e-4 -tf 4.0e-2 -vs 40
+//               ex16 -s 21 -a 0.0 -k 1.0
+//               ex16 -s 22 -a 1.0 -k 0.0
+//               ex16 -s 23 -a 0.5 -k 0.5 -o 4
+//               ex16 -s 4 -dt 1.0e-4 -tf 4.0e-2 -vs 40
 //               ex16 -m ../data/fichera-q2.mesh
 //               ex16 -m ../data/fichera-mixed.mesh
 //               ex16 -m ../data/escher.mesh
@@ -76,15 +76,15 @@ public:
    ConductionOperator(FiniteElementSpace &f, real_t alpha, real_t kappa,
                       const Vector &u);
 
-   virtual void Mult(const Vector &u, Vector &du_dt) const;
+   void Mult(const Vector &u, Vector &du_dt) const override;
    /** 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 real_t dt, const Vector &u, Vector &k);
+   void ImplicitSolve(const real_t dt, const Vector &u, Vector &k) override;
 
    /// Update the diffusion BilinearForm K using the given true-dof vector `u`.
    void SetParameters(const Vector &u);
 
-   virtual ~ConductionOperator();
+   ~ConductionOperator() override;
 };
 
 real_t InitialTemperature(const Vector &x);
@@ -95,11 +95,13 @@ int main(int argc, char *argv[])
    const char *mesh_file = "../data/star.mesh";
    int ref_levels = 2;
    int order = 2;
-   int ode_solver_type = 3;
+
+   int ode_solver_type = 23;  // SDIRK33Solver
    real_t t_final = 0.5;
    real_t dt = 1.0e-2;
    real_t alpha = 1.0e-2;
    real_t kappa = 0.5;
+
    bool visualization = true;
    bool visit = false;
    int vis_steps = 5;
@@ -115,8 +117,7 @@ int main(int argc, char *argv[])
    args.AddOption(&order, "-o", "--order",
                   "Order (degree) of the finite elements.");
    args.AddOption(&ode_solver_type, "-s", "--ode-solver",
-                  "ODE solver: 1 - Backward Euler, 2 - SDIRK2, 3 - SDIRK3,\n\t"
-                  "\t   11 - Forward Euler, 12 - RK2, 13 - RK3 SSP, 14 - RK4.");
+                  ODESolver::Types.c_str());
    args.AddOption(&t_final, "-tf", "--t-final",
                   "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
@@ -149,28 +150,7 @@ int main(int argc, char *argv[])
    // 3. Define the ODE solver used for time integration. Several implicit
    //    singly diagonal implicit Runge-Kutta (SDIRK) methods, as well as
    //    explicit Runge-Kutta methods are available.
-   ODESolver *ode_solver;
-   switch (ode_solver_type)
-   {
-      // Implicit L-stable methods
-      case 1:  ode_solver = new BackwardEulerSolver; break;
-      case 2:  ode_solver = new SDIRK23Solver(2); break;
-      case 3:  ode_solver = new SDIRK33Solver; break;
-      // Explicit methods
-      case 11: ode_solver = new ForwardEulerSolver; break;
-      case 12: ode_solver = new RK2Solver(0.5); break; // midpoint method
-      case 13: ode_solver = new RK3SSPSolver; break;
-      case 14: ode_solver = new RK4Solver; break;
-      case 15: ode_solver = new GeneralizedAlphaSolver(0.5); break;
-      // Implicit A-stable methods (not L-stable)
-      case 22: ode_solver = new ImplicitMidpointSolver; break;
-      case 23: ode_solver = new SDIRK23Solver; break;
-      case 24: ode_solver = new SDIRK34Solver; break;
-      default:
-         cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
-         delete mesh;
-         return 3;
-   }
+   unique_ptr<ODESolver> ode_solver = ODESolver::Select(ode_solver_type);
 
    // 4. Refine the mesh to increase the resolution. In this example we do
    //    'ref_levels' of uniform refinement, where 'ref_levels' is a
@@ -287,7 +267,6 @@ int main(int argc, char *argv[])
    }
 
    // 10. Free the used memory.
-   delete ode_solver;
    delete mesh;
 
    return 0;

examples/ex16p.cpp

@@ -5,10 +5,10 @@
 // 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 1 -a 0.0 -k 1.0
-//               mpirun -np 4 ex16p -s 2 -a 1.0 -k 0.0
-//               mpirun -np 8 ex16p -s 3 -a 0.5 -k 0.5 -o 4
-//               mpirun -np 4 ex16p -s 14 -dt 1.0e-4 -tf 4.0e-2 -vs 40
+//               mpirun -np 4 ex16p -s 21 -a 0.0 -k 1.0
+//               mpirun -np 4 ex16p -s 22 -a 1.0 -k 0.0
+//               mpirun -np 8 ex16p -s 23 -a 0.5 -k 0.5 -o 4
+//               mpirun -np 4 ex16p -s 4 -dt 1.0e-4 -tf 4.0e-2 -vs 40
 //               mpirun -np 16 ex16p -m ../data/fichera-q2.mesh
 //               mpirun -np 16 ex16p -m ../data/fichera-mixed.mesh
 //               mpirun -np 16 ex16p -m ../data/escher-p2.mesh
@@ -78,15 +78,15 @@ public:
    ConductionOperator(ParFiniteElementSpace &f, real_t alpha, real_t kappa,
                       const Vector &u);
 
-   virtual void Mult(const Vector &u, Vector &du_dt) const;
+   void Mult(const Vector &u, Vector &du_dt) const override;
    /** 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 real_t dt, const Vector &u, Vector &k);
+   void ImplicitSolve(const real_t dt, const Vector &u, Vector &k) override;
 
    /// Update the diffusion BilinearForm K using the given true-dof vector `u`.
    void SetParameters(const Vector &u);
 
-   virtual ~ConductionOperator();
+   ~ConductionOperator() override;
 };
 
 real_t InitialTemperature(const Vector &x);
@@ -104,11 +104,13 @@ int main(int argc, char *argv[])
    int ser_ref_levels = 2;
    int par_ref_levels = 1;
    int order = 2;
-   int ode_solver_type = 3;
+
+   int ode_solver_type = 23;  // SDIRK33Solver
    real_t t_final = 0.5;
    real_t dt = 1.0e-2;
    real_t alpha = 1.0e-2;
    real_t kappa = 0.5;
+
    bool visualization = true;
    bool visit = false;
    int vis_steps = 5;
@@ -127,8 +129,7 @@ int main(int argc, char *argv[])
    args.AddOption(&order, "-o", "--order",
                   "Order (degree) of the finite elements.");
    args.AddOption(&ode_solver_type, "-s", "--ode-solver",
-                  "ODE solver: 1 - Backward Euler, 2 - SDIRK2, 3 - SDIRK3,\n\t"
-                  "\t   11 - Forward Euler, 12 - RK2, 13 - RK3 SSP, 14 - RK4.");
+                  ODESolver::Types.c_str());
    args.AddOption(&t_final, "-tf", "--t-final",
                   "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
@@ -169,28 +170,7 @@ int main(int argc, char *argv[])
    // 4. Define the ODE solver used for time integration. Several implicit
    //    singly diagonal implicit Runge-Kutta (SDIRK) methods, as well as
    //    explicit Runge-Kutta methods are available.
-   ODESolver *ode_solver;
-   switch (ode_solver_type)
-   {
-      // Implicit L-stable methods
-      case 1:  ode_solver = new BackwardEulerSolver; break;
-      case 2:  ode_solver = new SDIRK23Solver(2); break;
-      case 3:  ode_solver = new SDIRK33Solver; break;
-      // Explicit methods
-      case 11: ode_solver = new ForwardEulerSolver; break;
-      case 12: ode_solver = new RK2Solver(0.5); break; // midpoint method
-      case 13: ode_solver = new RK3SSPSolver; break;
-      case 14: ode_solver = new RK4Solver; break;
-      case 15: ode_solver = new GeneralizedAlphaSolver(0.5); break;
-      // Implicit A-stable methods (not L-stable)
-      case 22: ode_solver = new ImplicitMidpointSolver; break;
-      case 23: ode_solver = new SDIRK23Solver; break;
-      case 24: ode_solver = new SDIRK34Solver; break;
-      default:
-         cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
-         delete mesh;
-         return 3;
-   }
+   unique_ptr<ODESolver> ode_solver = ODESolver::Select(ode_solver_type);
 
    // 5. 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
@@ -376,7 +356,6 @@ int main(int argc, char *argv[])
    }
 
    // 12. Free the used memory.
-   delete ode_solver;
    delete pmesh;
 
    return 0;

examples/ex17.cpp

@@ -69,7 +69,7 @@ public:
    void SetDisplacement(GridFunction &u_) { u = &u_; }
    void SetComponent(int i, int j) { si = i; sj = j; }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 };
 
 // Simple GLVis visualization manager.
@@ -89,7 +89,7 @@ public:
    void NewWindow();
    void CloseConnection();
    void PositionWindow();
-   virtual ~VisMan();
+   ~VisMan() override;
 };
 
 // Manipulators for the GLVis visualization manager.

examples/ex17p.cpp

@@ -69,7 +69,7 @@ public:
    void SetDisplacement(GridFunction &u_) { u = &u_; }
    void SetComponent(int i, int j) { si = i; sj = j; }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 };
 
 // Simple GLVis visualization manager.
@@ -89,7 +89,7 @@ public:
    void NewWindow();
    void CloseConnection();
    void PositionWindow();
-   virtual ~VisMan();
+   ~VisMan() override;
 };
 
 // Manipulators for the GLVis visualization manager.

examples/ex18.cpp

@@ -90,8 +90,7 @@ int main(int argc, char *argv[])
    args.AddOption(&order, "-o", "--order",
                   "Order (degree) of the finite elements.");
    args.AddOption(&ode_solver_type, "-s", "--ode-solver",
-                  "ODE solver: 1 - Forward Euler,\n\t"
-                  "            2 - RK2 SSP, 3 - RK3 SSP, 4 - RK4, 6 - RK6.");
+                  ODESolver::ExplicitTypes.c_str());
    args.AddOption(&t_final, "-tf", "--t-final", "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
                   "Time step. Positive number skips CFL timestep calculation.");
@@ -125,18 +124,7 @@ int main(int argc, char *argv[])
 
    // 3. Define the ODE solver used for time integration. Several explicit
    //    Runge-Kutta methods are available.
-   ODESolver *ode_solver = NULL;
-   switch (ode_solver_type)
-   {
-      case 1: ode_solver = new ForwardEulerSolver; break;
-      case 2: ode_solver = new RK2Solver(1.0); break;
-      case 3: ode_solver = new RK3SSPSolver; break;
-      case 4: ode_solver = new RK4Solver; break;
-      case 6: ode_solver = new RK6Solver; break;
-      default:
-         cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
-         return 3;
-   }
+   unique_ptr<ODESolver> ode_solver = ODESolver::SelectExplicit(ode_solver_type);
 
    // 4. Define the discontinuous DG finite element space of the given
    //    polynomial order on the refined mesh.
@@ -304,8 +292,5 @@ int main(int argc, char *argv[])
    const real_t error = sol.ComputeLpError(2, u0);
    cout << "Solution error: " << error << endl;
 
-   // Free the used memory.
-   delete ode_solver;
-
    return 0;
 }

examples/ex18p.cpp

@@ -99,8 +99,7 @@ int main(int argc, char *argv[])
    args.AddOption(&order, "-o", "--order",
                   "Order (degree) of the finite elements.");
    args.AddOption(&ode_solver_type, "-s", "--ode-solver",
-                  "ODE solver: 1 - Forward Euler,\n\t"
-                  "            2 - RK2 SSP, 3 - RK3 SSP, 4 - RK4, 6 - RK6.");
+                  ODESolver::ExplicitTypes.c_str());
    args.AddOption(&t_final, "-tf", "--t-final", "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
                   "Time step. Positive number skips CFL timestep calculation.");
@@ -148,18 +147,7 @@ int main(int argc, char *argv[])
 
    // 3. Define the ODE solver used for time integration. Several explicit
    //    Runge-Kutta methods are available.
-   ODESolver *ode_solver = NULL;
-   switch (ode_solver_type)
-   {
-      case 1: ode_solver = new ForwardEulerSolver; break;
-      case 2: ode_solver = new RK2Solver(1.0); break;
-      case 3: ode_solver = new RK3SSPSolver; break;
-      case 4: ode_solver = new RK4Solver; break;
-      case 6: ode_solver = new RK6Solver; break;
-      default:
-         cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
-         return 3;
-   }
+   unique_ptr<ODESolver> ode_solver = ODESolver::SelectExplicit(ode_solver_type);
 
    // 4. Define the discontinuous DG finite element space of the given
    //    polynomial order on the refined mesh.
@@ -360,8 +348,5 @@ int main(int argc, char *argv[])
       cout << "Solution error: " << error << endl;
    }
 
-   // Free the used memory.
-   delete ode_solver;
-
    return 0;
 }

examples/ex19.cpp

@@ -48,7 +48,7 @@ public:
       print_level = print_lvl;
    }
 
-   virtual void MonitorResidual(int it, real_t norm, const Vector &r, bool final);
+   void MonitorResidual(int it, real_t norm, const Vector &r, bool final) override;
 
 private:
    const std::string prefix;
@@ -116,10 +116,10 @@ public:
    JacobianPreconditioner(Array<FiniteElementSpace *> &fes,
                           SparseMatrix &mass, Array<int> &offsets);
 
-   virtual void Mult(const Vector &k, Vector &y) const;
-   virtual void SetOperator(const Operator &op);
+   void Mult(const Vector &k, Vector &y) const override;
+   void SetOperator(const Operator &op) override;
 
-   virtual ~JacobianPreconditioner();
+   ~JacobianPreconditioner() override;
 };
 
 // After spatial discretization, the rubber model can be written as:
@@ -161,13 +161,13 @@ public:
                   int iter, Coefficient &mu);
 
    // Required to use the native newton solver
-   virtual Operator &GetGradient(const Vector &xp) const;
-   virtual void Mult(const Vector &k, Vector &y) const;
+   Operator &GetGradient(const Vector &xp) const override;
+   void Mult(const Vector &k, Vector &y) const override;
 
    // Driver for the newton solver
    void Solve(Vector &xp) const;
 
-   virtual ~RubberOperator();
+   ~RubberOperator() override;
 };
 
 // Visualization driver

examples/ex19p.cpp

@@ -62,7 +62,7 @@ public:
 #endif
    }
 
-   virtual void MonitorResidual(int it, real_t norm, const Vector &r, bool final);
+   void MonitorResidual(int it, real_t norm, const Vector &r, bool final) override;
 
 private:
    const std::string prefix;
@@ -130,10 +130,10 @@ public:
    JacobianPreconditioner(Array<ParFiniteElementSpace *> &fes,
                           Operator &mass, Array<int> &offsets);
 
-   virtual void Mult(const Vector &k, Vector &y) const;
-   virtual void SetOperator(const Operator &op);
+   void Mult(const Vector &k, Vector &y) const override;
+   void SetOperator(const Operator &op) override;
 
-   virtual ~JacobianPreconditioner();
+   ~JacobianPreconditioner() override;
 };
 
 // After spatial discretization, the rubber model can be written as:
@@ -175,13 +175,13 @@ public:
                   int iter, Coefficient &mu);
 
    // Required to use the native newton solver
-   virtual Operator &GetGradient(const Vector &xp) const;
-   virtual void Mult(const Vector &k, Vector &y) const;
+   Operator &GetGradient(const Vector &xp) const override;
+   void Mult(const Vector &k, Vector &y) const override;
 
    // Driver for the newton solver
    void Solve(Vector &xp) const;
 
-   virtual ~RubberOperator();
+   ~RubberOperator() override;
 };
 
 // Visualization driver

examples/ex20.cpp

@@ -79,14 +79,14 @@ class GradT : public Operator
 {
 public:
    GradT() : Operator(1) {}
-   void Mult(const Vector &x, Vector &y) const { y.Set(1.0/m_, x); }
+   void Mult(const Vector &x, Vector &y) const override { y.Set(1.0/m_, x); }
 };
 
 class NegGradV : public TimeDependentOperator
 {
 public:
    NegGradV() : TimeDependentOperator(1) {}
-   void Mult(const Vector &x, Vector &y) const;
+   void Mult(const Vector &x, Vector &y) const override;
 };
 
 int main(int argc, char *argv[])

examples/ex20p.cpp

@@ -84,14 +84,14 @@ class GradT : public Operator
 {
 public:
    GradT() : Operator(1) {}
-   void Mult(const Vector &x, Vector &y) const { y.Set(1.0/m_, x); }
+   void Mult(const Vector &x, Vector &y) const override { y.Set(1.0/m_, x); }
 };
 
 class NegGradV : public TimeDependentOperator
 {
 public:
    NegGradV() : TimeDependentOperator(1) {}
-   void Mult(const Vector &x, Vector &y) const;
+   void Mult(const Vector &x, Vector &y) const override;
 };
 
 int main(int argc, char *argv[])

examples/ex23.cpp

@@ -61,20 +61,20 @@ public:
    WaveOperator(FiniteElementSpace &f, Array<int> &ess_bdr, real_t speed);
 
    using SecondOrderTimeDependentOperator::Mult;
-   virtual void Mult(const Vector &u, const Vector &du_dt,
-                     Vector &d2udt2) const;
+   void Mult(const Vector &u, const Vector &du_dt,
+             Vector &d2udt2) const override;
 
    /** Solve the Backward-Euler equation:
        d2udt2 = f(u + fac0*d2udt2,dudt + fac1*d2udt2, t),
        for the unknown d2udt2. */
    using SecondOrderTimeDependentOperator::ImplicitSolve;
-   virtual void ImplicitSolve(const real_t fac0, const real_t fac1,
-                              const Vector &u, const Vector &dudt, Vector &d2udt2);
+   void ImplicitSolve(const real_t fac0, const real_t fac1,
+                      const Vector &u, const Vector &dudt, Vector &d2udt2) override;
 
    ///
    void SetParameters(const Vector &u);
 
-   virtual ~WaveOperator();
+   ~WaveOperator() override;
 };
 
 
@@ -201,9 +201,7 @@ int main(int argc, char *argv[])
    args.AddOption(&order, "-o", "--order",
                   "Order (degree) of the finite elements.");
    args.AddOption(&ode_solver_type, "-s", "--ode-solver",
-                  "ODE solver: [0--10] - GeneralizedAlpha(0.1 * s),\n\t"
-                  "\t   11 - Average Acceleration, 12 - Linear Acceleration\n"
-                  "\t   13 - CentralDifference, 14 - FoxGoodwin");
+                  SecondOrderODESolver::Types.c_str());
    args.AddOption(&t_final, "-tf", "--t-final",
                   "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
@@ -238,32 +236,7 @@ int main(int argc, char *argv[])
 
    // 3. Define the ODE solver used for time integration. Several second order
    //    time integrators are available.
-   SecondOrderODESolver *ode_solver;
-   switch (ode_solver_type)
-   {
-      // Implicit methods
-      case 0: ode_solver = new GeneralizedAlpha2Solver(0.0); break;
-      case 1: ode_solver = new GeneralizedAlpha2Solver(0.1); break;
-      case 2: ode_solver = new GeneralizedAlpha2Solver(0.2); break;
-      case 3: ode_solver = new GeneralizedAlpha2Solver(0.3); break;
-      case 4: ode_solver = new GeneralizedAlpha2Solver(0.4); break;
-      case 5: ode_solver = new GeneralizedAlpha2Solver(0.5); break;
-      case 6: ode_solver = new GeneralizedAlpha2Solver(0.6); break;
-      case 7: ode_solver = new GeneralizedAlpha2Solver(0.7); break;
-      case 8: ode_solver = new GeneralizedAlpha2Solver(0.8); break;
-      case 9: ode_solver = new GeneralizedAlpha2Solver(0.9); break;
-      case 10: ode_solver = new GeneralizedAlpha2Solver(1.0); break;
-
-      case 11: ode_solver = new AverageAccelerationSolver(); break;
-      case 12: ode_solver = new LinearAccelerationSolver(); break;
-      case 13: ode_solver = new CentralDifferenceSolver(); break;
-      case 14: ode_solver = new FoxGoodwinSolver(); break;
-
-      default:
-         cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
-         delete mesh;
-         return 3;
-   }
+   SecondOrderODESolver *ode_solver= SecondOrderODESolver::Select(ode_solver_type);
 
    // 4. Refine the mesh to increase the resolution. In this example we do
    //    'ref_levels' of uniform refinement, where 'ref_levels' is a

examples/ex25.cpp

@@ -103,8 +103,8 @@ public:
 
    using VectorCoefficient::Eval;
 
-   virtual void Eval(Vector &K, ElementTransformation &T,
-                     const IntegrationPoint &ip)
+   void Eval(Vector &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override
    {
       real_t x[3];
       Vector transip(x, 3);

examples/ex25p.cpp

@@ -102,8 +102,8 @@ public:
 
    using VectorCoefficient::Eval;
 
-   virtual void Eval(Vector &K, ElementTransformation &T,
-                     const IntegrationPoint &ip)
+   void Eval(Vector &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override
    {
       real_t x[3];
       Vector transip(x, 3);

examples/ex26p.cpp

@@ -58,7 +58,7 @@ public:
       }
    }
 
-   virtual ~DiffusionMultigrid()
+   ~DiffusionMultigrid() override
    {
       delete amg;
    }

examples/ex36.cpp

@@ -53,7 +53,7 @@ public:
                                     real_t min_val_=-36)
       : u(&u_), obstacle(&obst_), min_val(min_val_) { }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 };
 
 class ExponentialGridFunctionCoefficient : public Coefficient
@@ -69,7 +69,7 @@ public:
                                       real_t min_val_=0.0, real_t max_val_=1e6)
       : u(&u_), obstacle(&obst_), min_val(min_val_), max_val(max_val_) { }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 };
 
 int main(int argc, char *argv[])
@@ -258,7 +258,7 @@ int main(int argc, char *argv[])
          MixedBilinearForm a10(&H1fes,&L2fes);
          a10.AddDomainIntegrator(new MixedScalarMassIntegrator());
          a10.Assemble();
-         a10.EliminateTrialDofs(ess_bdr, x.GetBlock(0), rhs.GetBlock(1));
+         a10.EliminateTrialEssentialBC(ess_bdr, x.GetBlock(0), rhs.GetBlock(1));
          a10.Finalize();
          SparseMatrix &A10 = a10.SpMat();
 

examples/ex36p.cpp

@@ -53,7 +53,7 @@ public:
                                     real_t min_val_=-36)
       : u(&u_), obstacle(&obst_), min_val(min_val_) { }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 };
 
 class ExponentialGridFunctionCoefficient : public Coefficient
@@ -69,7 +69,7 @@ public:
                                       real_t min_val_=0.0, real_t max_val_=1e6)
       : u(&u_), obstacle(&obst_), min_val(min_val_), max_val(max_val_) { }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 };
 
 int main(int argc, char *argv[])

examples/ex37.hpp

@@ -52,8 +52,8 @@ public:
        fun(fun_) {}
 
 
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override
    {
       return fun(GridFunctionCoefficient::Eval(T, ip));
    }
@@ -83,8 +83,8 @@ public:
        OtherGridF_cf(OtherGridF),
        fun(fun_) {}
 
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override
    {
       const real_t value1 = fun(GridFunctionCoefficient::Eval(T, ip));
       const real_t value2 = fun(OtherGridF_cf.Eval(T, ip));
@@ -108,7 +108,7 @@ public:
       : rho_filter(rho_filter_), min_val(min_val_), max_val(max_val_),
         exponent(exponent_) { }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override
    {
       real_t val = rho_filter->GetValue(T, ip);
       real_t coeff = min_val + pow(val,exponent)*(max_val-min_val);
@@ -142,7 +142,7 @@ public:
       MFEM_ASSERT(rho_filter, "density field is not set");
    }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override
    {
       real_t L = lambda->Eval(T, ip);
       real_t M = mu->Eval(T, ip);
@@ -176,8 +176,8 @@ public:
 
    using VectorCoefficient::Eval;
 
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip)
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override
    {
       Vector xx; xx.SetSize(T.GetDimension());
       T.Transform(ip,xx);

examples/ex38.cpp

@@ -3,18 +3,18 @@
 // Compile with: make ex38
 //
 // Sample runs:
-// (since all sample runs require LAPACK, the * symbol is used to exclude them
-// from the automatically generated internal MFEM tests).
+// (since all sample runs require LAPACK or ALGOIM, the * symbol is used to
+//  exclude them from the automatically generated internal MFEM tests).
 //              * ex38
 //              * ex38 -i volumetric1d
 //              * ex38 -i surface2d
-//              * ex38 -i surface2d -o 4 -r 5
+//              * ex38 -i surface2d -o 4 -r 5 -m 1
 //              * ex38 -i volumetric2d
-//              * ex38 -i volumetric2d -o 4 -r 5
+//              * ex38 -i volumetric2d -o 4 -r 5 -m 1
 //              * ex38 -i surface3d
-//              * ex38 -i surface3d -o 4 -r 5
+//              * ex38 -i surface3d -o 3 -r 4 -m 1
 //              * ex38 -i volumetric3d
-//              * ex38 -i volumetric3d -o 4 -r 5
+//              * ex38 -i volumetric3d -o 3 -r 4 -m 1
 //
 // Description: This example code demonstrates the use of MFEM to integrate
 //              functions over implicit interfaces and subdomains bounded by
@@ -71,7 +71,7 @@ real_t integrand(const Vector& X)
    switch (itype)
    {
       case IntegrationType::Volumetric1D:
-         return 1.;
+         return pow(X(0), 2.);
       case IntegrationType::Surface2D:
          return 3. * pow(X(0), 2.) - pow(X(1), 2.);
       case IntegrationType::Volumetric2D:
@@ -91,7 +91,7 @@ real_t Surface()
    switch (itype)
    {
       case IntegrationType::Volumetric1D:
-         return 1.;
+         return .3025;
       case IntegrationType::Surface2D:
          return 2. * M_PI;
       case IntegrationType::Volumetric2D:
@@ -111,7 +111,7 @@ real_t Volume()
    switch (itype)
    {
       case IntegrationType::Volumetric1D:
-         return .55;
+         return pow(.55, 3.) / 3.;
       case IntegrationType::Surface2D:
          return NAN;
       case IntegrationType::Volumetric2D:
@@ -125,7 +125,6 @@ real_t Volume()
    }
 }
 
-#ifdef MFEM_USE_LAPACK
 /**
  @brief Class for surface IntegrationRule
 
@@ -135,11 +134,14 @@ real_t Volume()
 class SIntegrationRule : public IntegrationRule
 {
 protected:
-   /// @brief Space Dimension of the IntegrationRule
+   /// method 0 is moments-based, 1 is Algoim.
+   int method, ir_order, ls_order;
+   Coefficient &level_set;
+   /// Space Dimension of the IntegrationRule
    int dim;
-   /// @brief Column-wise matrix of the quadtrature weights
+   /// Column-wise matrix of the quadtrature weights
    DenseMatrix Weights;
-   /// @brief Column-wise matrix of the transformation weights of the normal
+   /// Column-wise matrix of the transformation weights of the normal
    DenseMatrix SurfaceWeights;
 
 public:
@@ -153,15 +155,21 @@ public:
     @param [in] lsOrder Polynomial degree for approx of level-set function
     @param [in] mesh Pointer to the mesh that is used
    */
-   SIntegrationRule(int Order, Coefficient& LvlSet, int lsOrder, Mesh* mesh)
+   SIntegrationRule(int method_, int Order,
+                    Coefficient& LvlSet, int lsOrder, Mesh* mesh)
+      : method(method_), ir_order(Order), ls_order(lsOrder),
+        level_set(LvlSet), dim(mesh->Dimension())
    {
-      dim = mesh->Dimension();
+      // Nothing gets pre-computed for Algoim.
+      if (method == 1) { return; }
+
+#ifdef MFEM_USE_LAPACK
+      MomentFittingIntRules mf_ir(ir_order, level_set, ls_order);
 
       IsoparametricTransformation Tr;
-      MomentFittingIntRules MFIRs(Order, LvlSet, lsOrder);
       mesh->GetElementTransformation(0, &Tr);
       IntegrationRule ir;
-      MFIRs.GetSurfaceIntegrationRule(Tr, ir);
+      mf_ir.GetSurfaceIntegrationRule(Tr, ir);
       if (dim >1)
       {
          Weights.SetSize(ir.GetNPoints(), mesh->GetNE());
@@ -172,7 +180,7 @@ public:
       }
       SurfaceWeights.SetSize(ir.GetNPoints(), mesh->GetNE());
       Vector w;
-      MFIRs.GetSurfaceWeights(Tr, ir, w);
+      mf_ir.GetSurfaceWeights(Tr, ir, w);
       SurfaceWeights.SetCol(0, w);
       SetSize(ir.GetNPoints());
 
@@ -198,8 +206,8 @@ public:
       for (int elem = 1; elem < mesh->GetNE(); elem++)
       {
          mesh->GetElementTransformation(elem, &Tr);
-         MFIRs.GetSurfaceIntegrationRule(Tr, ir);
-         MFIRs.GetSurfaceWeights(Tr, ir, w);
+         mf_ir.GetSurfaceIntegrationRule(Tr, ir);
+         mf_ir.GetSurfaceWeights(Tr, ir, w);
          SurfaceWeights.SetCol(elem, w);
 
          for (int ip = 0; ip < GetNPoints(); ip++)
@@ -215,48 +223,48 @@ public:
             }
          }
       }
+#else
+      MFEM_ABORT("Moment-fitting requires MFEM to be built with LAPACK!");
+#endif
    }
 
    /**
     @brief Set the weights for the given element and multiply them with the
     transformation of the interface
     */
-   void SetElementinclSurfaceWeight(int Element)
+   void SetElementAndSurfaceWeight(ElementTransformation &Tr)
    {
-      if (dim == 1)
+      if (method == 1)
       {
-         IntegrationPoint &intp = IntPoint(0);
-         intp.x = Weights(0, Element);
-         intp.weight = Weights(1, Element);
-         cout << intp.x << " " << Element << endl;
-      }
-      else
+#ifdef MFEM_USE_ALGOIM
+         AlgoimIntegrationRules a_ir(ir_order, level_set, ls_order);
+         a_ir.GetSurfaceIntegrationRule(Tr, *this);
+         Vector w;
+         a_ir.GetSurfaceWeights(Tr, *this, w);
          for (int ip = 0; ip < GetNPoints(); ip++)
          {
-            IntegrationPoint &intp = IntPoint(ip);
-            intp.weight = Weights(ip, Element) * SurfaceWeights(ip, Element);
+            IntPoint(ip).weight *= w(ip);
          }
-   }
+         return;
+#else
+         MFEM_ABORT("MFEM is not built with Algoim support!");
+#endif
+      }
 
-   /// @brief Set the weights for the given element
-   void SetElement(int Element)
-   {
       if (dim == 1)
       {
-         IntegrationPoint &intp = IntPoint(0);
-         intp.x = Weights(0, Element);
-         intp.weight = Weights(1, Element);
+         IntPoint(0).x = Weights(0, Tr.ElementNo);
+         IntPoint(0).weight = Weights(1, Tr.ElementNo);
       }
       else
+      {
          for (int ip = 0; ip < GetNPoints(); ip++)
          {
-            IntegrationPoint &intp = IntPoint(ip);
-            intp.weight = Weights(ip, Element);
+            IntPoint(ip).weight = Weights(ip, Tr.ElementNo) *
+                                  SurfaceWeights(ip, Tr.ElementNo);
          }
+      }
    }
-
-   /// @brief Destructor of SIntegrationRule
-   ~SIntegrationRule() {}
 };
 
 /**
@@ -268,9 +276,12 @@ public:
 class CIntegrationRule : public IntegrationRule
 {
 protected:
-   /// @brief Space Dimension of the IntegrationRule
+   /// method 0 is moments-based, 1 is Algoim.
+   int method, ir_order, ls_order;
+   Coefficient &level_set;
+   /// Space Dimension of the IntegrationRule
    int dim;
-   /// @brief Column-wise matrix of the quadtrature weights
+   /// Column-wise matrix of the quadtrature positions and weights.
    DenseMatrix Weights;
 
 public:
@@ -284,15 +295,21 @@ public:
     @param [in] lsOrder Polynomial degree for approx of level-set function
     @param [in] mesh Pointer to the mesh that is used
    */
-   CIntegrationRule(int Order, Coefficient& LvlSet, int lsOrder, Mesh* mesh)
+   CIntegrationRule(int method_, int Order,
+                    Coefficient &LvlSet, int lsOrder, Mesh *mesh)
+      : method(method_), ir_order(Order), ls_order(lsOrder),
+        level_set(LvlSet), dim(mesh->Dimension())
    {
-      dim = mesh->Dimension();
+      // Nothing gets pre-computed for Algoim.
+      if (method == 1) { return; }
+
+#ifdef MFEM_USE_LAPACK
+      MomentFittingIntRules mf_ir(ir_order, level_set, ls_order);
 
       IsoparametricTransformation Tr;
-      MomentFittingIntRules MFIRs(Order, LvlSet, lsOrder);
       mesh->GetElementTransformation(0, &Tr);
       IntegrationRule ir;
-      MFIRs.GetVolumeIntegrationRule(Tr, ir);
+      mf_ir.GetVolumeIntegrationRule(Tr, ir);
       if (dim > 1)
       {
          Weights.SetSize(ir.GetNPoints(), mesh->GetNE());
@@ -324,9 +341,9 @@ public:
       for (int elem = 1; elem < mesh->GetNE(); elem++)
       {
          mesh->GetElementTransformation(elem, &Tr);
-         MFIRs.GetVolumeIntegrationRule(Tr, ir);
+         mf_ir.GetVolumeIntegrationRule(Tr, ir);
 
-         for (int ip = 0; ip < GetNPoints(); ip++)
+         for (int ip = 0; ip < ir.GetNPoints(); ip++)
          {
             if (dim > 1)
             {
@@ -339,29 +356,39 @@ public:
             }
          }
       }
+#else
+      MFEM_ABORT("Moment-fitting requires MFEM to be built with LAPACK!");
+#endif
    }
 
    /// @brief Set the weights for the given element
-   void SetElement(int Element)
+   void SetElement(ElementTransformation &Tr)
    {
-      if (dim == 1)
-         for (int ip = 0; ip < GetNPoints(); ip++)
-         {
-            IntegrationPoint &intp = IntPoint(ip);
-            intp.x = Weights(2 * ip, Element);
-            intp.weight = Weights(2 * ip + 1, Element);
-         }
-      else
-         for (int ip = 0; ip < GetNPoints(); ip++)
-         {
-            IntegrationPoint &intp = IntPoint(ip);
-            intp.weight = Weights(ip, Element);
-         }
-   }
+      if (method == 1)
+      {
+#ifdef MFEM_USE_ALGOIM
+         AlgoimIntegrationRules a_ir(ir_order, level_set, ls_order);
+         a_ir.GetVolumeIntegrationRule(Tr, *this);
+         return;
+#else
+         MFEM_ABORT("MFEM is not built with Algoim support!");
+#endif
+      }
 
-   /// @brief Destructor of CIntegrationRule
-   ~CIntegrationRule() {}
+      for (int ip = 0; ip < GetNPoints(); ip++)
+      {
+         IntegrationPoint &intp = IntPoint(ip);
+         if (dim == 1)
+         {
+            intp.x = Weights(2 * ip, Tr.ElementNo);
+            intp.weight = Weights(2 * ip + 1, Tr.ElementNo);
+         }
+         else { intp.weight = Weights(ip, Tr.ElementNo); }
+      }
+   }
 };
+
+
 /**
  @brief Class for surface linearform integrator
 
@@ -408,9 +435,9 @@ public:
     @param [in] Tr transformation of finite element
     @param [out] elvect vector containing the
    */
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect) override
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override
    {
       int dof = el.GetDof();
       shape.SetSize(dof);
@@ -418,7 +445,7 @@ public:
       elvect = 0.;
 
       // Update the surface integration rule for the current element
-      SIntRule->SetElementinclSurfaceWeight(Tr.ElementNo);
+      SIntRule->SetElementAndSurfaceWeight(Tr);
 
       for (int ip = 0; ip < SIntRule->GetNPoints(); ip++)
       {
@@ -428,6 +455,8 @@ public:
          add(elvect, SIntRule->IntPoint(ip).weight * val, shape, elvect);
       }
    }
+
+   using LinearFormIntegrator::AssembleRHSElementVect;
 };
 
 /**
@@ -476,9 +505,9 @@ public:
     @param [in] Tr transformation of finite element
     @param [out] elvect vector containing the
    */
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect) override
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override
    {
       int dof = el.GetDof();
       shape.SetSize(dof);
@@ -486,7 +515,7 @@ public:
       elvect = 0.;
 
       // Update the subdomain integration rule
-      CIntRule->SetElement(Tr.ElementNo);
+      CIntRule->SetElement(Tr);
 
       for (int ip = 0; ip < CIntRule->GetNPoints(); ip++)
       {
@@ -497,18 +526,17 @@ public:
          add(elvect, CIntRule->IntPoint(ip).weight * val, shape, elvect);
       }
    }
+
+   using LinearFormIntegrator::AssembleRHSElementVect;
 };
-#endif // MFEM_USE_LAPACK
 
 int main(int argc, char *argv[])
 {
-#ifndef MFEM_USE_LAPACK
-   cout << "MFEM must be built with LAPACK for this example." << endl;
-   return MFEM_SKIP_RETURN_VALUE;
-#else
+#if defined(MFEM_USE_LAPACK) || defined(MFEM_USE_ALGOIM)
    // 1. Parse he command-line options.
    int ref_levels = 3;
    int order = 2;
+   int method = 0;
    const char *inttype = "surface2d";
    bool visualization = true;
    itype = IntegrationType::Surface2D;
@@ -516,6 +544,8 @@ int main(int argc, char *argv[])
    OptionsParser args(argc, argv);
    args.AddOption(&order, "-o", "--order", "Order of quadrature rule");
    args.AddOption(&ref_levels, "-r", "--refine", "Number of meh refinements");
+   args.AddOption(&method, "-m", "--method",
+                  "Cut integration method: 0 for moments-based, 1 for Algoim.");
    args.AddOption(&inttype, "-i", "--integrationtype",
                   "IntegrationType to demonstrate");
    args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
@@ -550,7 +580,7 @@ int main(int argc, char *argv[])
    }
 
    // 2. Construct and refine the mesh.
-   Mesh *mesh;
+   Mesh *mesh = nullptr;
    if (itype == IntegrationType::Volumetric1D)
    {
       mesh = new Mesh("../data/inline-segment.mesh");
@@ -598,13 +628,14 @@ int main(int argc, char *argv[])
    // 5. Define the necessary Integration rules on element 0.
    IsoparametricTransformation Tr;
    mesh->GetElementTransformation(0, &Tr);
-   SIntegrationRule* sir = new SIntegrationRule(order, levelset, 2, mesh);
+   SIntegrationRule* sir = new SIntegrationRule(method, order,
+                                                levelset, 2, mesh);
    CIntegrationRule* cir = NULL;
    if (itype == IntegrationType::Volumetric1D
        || itype == IntegrationType::Volumetric2D
        || itype == IntegrationType::Volumetric3D)
    {
-      cir = new CIntegrationRule(order, levelset, 2, mesh);
+      cir = new CIntegrationRule(method, order, levelset, 2, mesh);
    }
 
    // 6. Define and assemble the linear forms on the finite element space.
@@ -647,11 +678,11 @@ int main(int argc, char *argv[])
       cout << "Number of div free basis functions: " << nbasis << endl;
       cout << "Number of quadrature points:        " << ir.GetNPoints() << endl;
    }
-   cout << scientific << setprecision(2);
+   cout << scientific << setprecision(10);
    cout << "============================================" << endl;
    cout << "Computed value of surface integral: " << surface.Sum() << endl;
    cout << "True value of surface integral:     " << Surface() << endl;
-   cout << "Absolute Error (Surface):            ";
+   cout << "Absolute Error (Surface):           ";
    cout << abs(surface.Sum() - Surface()) << endl;
    cout << "Relative Error (Surface):           ";
    cout << abs(surface.Sum() - Surface()) / Surface() << endl;
@@ -662,7 +693,7 @@ int main(int argc, char *argv[])
       cout << "--------------------------------------------" << endl;
       cout << "Computed value of volume integral:  " << volume.Sum() << endl;
       cout << "True value of volume integral:      " << Volume() << endl;
-      cout << "Absolute Error (Volume):             ";
+      cout << "Absolute Error (Volume):            ";
       cout << abs(volume.Sum() - Volume()) << endl;
       cout << "Relative Error (Volume):            ";
       cout << abs(volume.Sum() - Volume()) / Volume() << endl;
@@ -691,5 +722,8 @@ int main(int argc, char *argv[])
    delete fespace;
    delete mesh;
    return EXIT_SUCCESS;
-#endif //MFEM_USE_LAPACK
+#else
+   cout << "MFEM must be built with LAPACK or ALGOIM for this example." << endl;
+   return MFEM_SKIP_RETURN_VALUE;
+#endif // MFEM_USE_LAPACK
 }

examples/ex40.cpp

@@ -69,8 +69,8 @@ public:
 
    using VectorCoefficient::Eval;
 
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    void SetAlpha(real_t alpha_) { alpha = alpha_; }
 };
 
@@ -84,8 +84,8 @@ public:
    DZCoefficient(int height, GridFunction &psi_, real_t alpha_ = 1.0)
       : MatrixCoefficient(height),  psi(&psi_), alpha(alpha_) { }
 
-   virtual void Eval(DenseMatrix &K, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    void SetAlpha(real_t alpha_) { alpha = alpha_; }
 };
 

examples/ex40p.cpp

@@ -69,8 +69,8 @@ public:
 
    using VectorCoefficient::Eval;
 
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    void SetAlpha(real_t alpha_) { alpha = alpha_; }
 };
 
@@ -84,8 +84,8 @@ public:
    DZCoefficient(int height, ParGridFunction &psi_, real_t alpha_ = 1.0)
       : MatrixCoefficient(height),  psi(&psi_), alpha(alpha_) { }
 
-   virtual void Eval(DenseMatrix &K, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    void SetAlpha(real_t alpha_) { alpha = alpha_; }
 };
 

examples/ex8.cpp

@@ -157,7 +157,7 @@ int main(int argc, char *argv[])
    MixedBilinearForm *B0 = new MixedBilinearForm(x0_space,test_space);
    B0->AddDomainIntegrator(new DiffusionIntegrator(one));
    B0->Assemble();
-   B0->EliminateTrialDofs(ess_bdr, x.GetBlock(x0_var), F);
+   B0->EliminateTrialEssentialBC(ess_bdr, x.GetBlock(x0_var), F);
    B0->Finalize();
 
    MixedBilinearForm *Bhat = new MixedBilinearForm(xhat_space,test_space);

examples/ex9.cpp

@@ -9,7 +9,7 @@
 //    ex9 -m ../data/periodic-square.mesh -p 1 -r 2 -dt 0.005 -tf 9
 //    ex9 -m ../data/periodic-hexagon.mesh -p 1 -r 2 -dt 0.005 -tf 9
 //    ex9 -m ../data/amr-quad.mesh -p 1 -r 2 -dt 0.002 -tf 9
-//    ex9 -m ../data/amr-quad.mesh -p 1 -r 2 -dt 0.02 -s 13 -tf 9
+//    ex9 -m ../data/amr-quad.mesh -p 1 -r 2 -dt 0.02 -s 23 -tf 9
 //    ex9 -m ../data/star-q3.mesh -p 1 -r 2 -dt 0.005 -tf 9
 //    ex9 -m ../data/star-mixed.mesh -p 1 -r 2 -dt 0.005 -tf 9
 //    ex9 -m ../data/disc-nurbs.mesh -p 1 -r 3 -dt 0.005 -tf 9
@@ -104,12 +104,12 @@ public:
       }
    }
 
-   void SetOperator(const Operator &op)
+   void SetOperator(const Operator &op) override
    {
       linear_solver.SetOperator(op);
    }
 
-   virtual void Mult(const Vector &x, Vector &y) const
+   void Mult(const Vector &x, Vector &y) const override
    {
       linear_solver.Mult(x, y);
    }
@@ -134,10 +134,10 @@ private:
 public:
    FE_Evolution(BilinearForm &M_, BilinearForm &K_, const Vector &b_);
 
-   virtual void Mult(const Vector &x, Vector &y) const;
-   virtual void ImplicitSolve(const real_t dt, const Vector &x, Vector &k);
+   void Mult(const Vector &x, Vector &y) const override;
+   void ImplicitSolve(const real_t dt, const Vector &x, Vector &k) override;
 
-   virtual ~FE_Evolution();
+   ~FE_Evolution() override;
 };
 
 
@@ -182,12 +182,7 @@ int main(int argc, char *argv[])
    args.AddOption(&device_config, "-d", "--device",
                   "Device configuration string, see Device::Configure().");
    args.AddOption(&ode_solver_type, "-s", "--ode-solver",
-                  "ODE solver: 1 - Forward Euler,\n\t"
-                  "            2 - RK2 SSP, 3 - RK3 SSP, 4 - RK4, 6 - RK6,\n\t"
-                  "            11 - Backward Euler,\n\t"
-                  "            12 - SDIRK23 (L-stable), 13 - SDIRK33,\n\t"
-                  "            22 - Implicit Midpoint Method,\n\t"
-                  "            23 - SDIRK23 (A-stable), 24 - SDIRK34");
+                  ODESolver::Types.c_str());
    args.AddOption(&t_final, "-tf", "--t-final",
                   "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
@@ -224,28 +219,7 @@ int main(int argc, char *argv[])
 
    // 3. Define the ODE solver used for time integration. Several explicit
    //    Runge-Kutta methods are available.
-   ODESolver *ode_solver = NULL;
-   switch (ode_solver_type)
-   {
-      // Explicit methods
-      case 1: ode_solver = new ForwardEulerSolver; break;
-      case 2: ode_solver = new RK2Solver(1.0); break;
-      case 3: ode_solver = new RK3SSPSolver; break;
-      case 4: ode_solver = new RK4Solver; break;
-      case 6: ode_solver = new RK6Solver; break;
-      // Implicit (L-stable) methods
-      case 11: ode_solver = new BackwardEulerSolver; break;
-      case 12: ode_solver = new SDIRK23Solver(2); break;
-      case 13: ode_solver = new SDIRK33Solver; break;
-      // Implicit A-stable methods (not L-stable)
-      case 22: ode_solver = new ImplicitMidpointSolver; break;
-      case 23: ode_solver = new SDIRK23Solver; break;
-      case 24: ode_solver = new SDIRK34Solver; break;
-
-      default:
-         cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
-         return 3;
-   }
+   unique_ptr<ODESolver> ode_solver = ODESolver::Select(ode_solver_type);
 
    // 4. Refine the mesh to increase the resolution. In this example we do
    //    'ref_levels' of uniform refinement, where 'ref_levels' is a
@@ -440,7 +414,6 @@ int main(int argc, char *argv[])
    }
 
    // 10. Free the used memory.
-   delete ode_solver;
    delete pd;
    delete dc;
 

examples/ex9p.cpp

@@ -9,7 +9,7 @@
 //    mpirun -np 4 ex9p -m ../data/periodic-square.mesh -p 1 -dt 0.005 -tf 9
 //    mpirun -np 4 ex9p -m ../data/periodic-hexagon.mesh -p 1 -dt 0.005 -tf 9
 //    mpirun -np 4 ex9p -m ../data/amr-quad.mesh -p 1 -rp 1 -dt 0.002 -tf 9
-//    mpirun -np 4 ex9p -m ../data/amr-quad.mesh -p 1 -rp 1 -dt 0.02 -s 13 -tf 9
+//    mpirun -np 4 ex9p -m ../data/amr-quad.mesh -p 1 -rp 1 -dt 0.02 -s 23 -tf 9
 //    mpirun -np 4 ex9p -m ../data/star-q3.mesh -p 1 -rp 1 -dt 0.004 -tf 9
 //    mpirun -np 4 ex9p -m ../data/star-mixed.mesh -p 1 -rp 1 -dt 0.004 -tf 9
 //    mpirun -np 4 ex9p -m ../data/disc-nurbs.mesh -p 1 -rp 1 -dt 0.005 -tf 9
@@ -92,7 +92,7 @@ private:
 public:
    AIR_prec(int blocksize_) : AIR_solver(NULL), blocksize(blocksize_) { }
 
-   void SetOperator(const Operator &op)
+   void SetOperator(const Operator &op) override
    {
       width = op.Width();
       height = op.Height();
@@ -110,7 +110,7 @@ public:
       AIR_solver->SetMaxLevels(50);
    }
 
-   virtual void Mult(const Vector &x, Vector &y) const
+   void Mult(const Vector &x, Vector &y) const override
    {
       // Scale the rhs by block inverse and solve system
       HypreParVector z_s;
@@ -119,7 +119,7 @@ public:
       AIR_solver->Mult(z_s, y);
    }
 
-   ~AIR_prec()
+   ~AIR_prec() override
    {
       delete AIR_solver;
    }
@@ -185,17 +185,17 @@ public:
       }
    }
 
-   void SetOperator(const Operator &op)
+   void SetOperator(const Operator &op) override
    {
       linear_solver.SetOperator(op);
    }
 
-   virtual void Mult(const Vector &x, Vector &y) const
+   void Mult(const Vector &x, Vector &y) const override
    {
       linear_solver.Mult(x, y);
    }
 
-   ~DG_Solver()
+   ~DG_Solver() override
    {
       delete prec;
       delete A;
@@ -223,10 +223,10 @@ public:
    FE_Evolution(ParBilinearForm &M_, ParBilinearForm &K_, const Vector &b_,
                 PrecType prec_type);
 
-   virtual void Mult(const Vector &x, Vector &y) const;
-   virtual void ImplicitSolve(const real_t dt, const Vector &x, Vector &k);
+   void Mult(const Vector &x, Vector &y) const override;
+   void ImplicitSolve(const real_t dt, const Vector &x, Vector &k) override;
 
-   virtual ~FE_Evolution();
+   ~FE_Evolution() override;
 };
 
 
@@ -285,12 +285,7 @@ int main(int argc, char *argv[])
    args.AddOption(&device_config, "-d", "--device",
                   "Device configuration string, see Device::Configure().");
    args.AddOption(&ode_solver_type, "-s", "--ode-solver",
-                  "ODE solver: 1 - Forward Euler,\n\t"
-                  "            2 - RK2 SSP, 3 - RK3 SSP, 4 - RK4, 6 - RK6,\n\t"
-                  "            11 - Backward Euler,\n\t"
-                  "            12 - SDIRK23 (L-stable), 13 - SDIRK33,\n\t"
-                  "            22 - Implicit Midpoint Method,\n\t"
-                  "            23 - SDIRK23 (A-stable), 24 - SDIRK34");
+                  ODESolver::Types.c_str());
    args.AddOption(&t_final, "-tf", "--t-final",
                   "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
@@ -338,31 +333,7 @@ int main(int argc, char *argv[])
 
    // 4. Define the ODE solver used for time integration. Several explicit
    //    Runge-Kutta methods are available.
-   ODESolver *ode_solver = NULL;
-   switch (ode_solver_type)
-   {
-      // Explicit methods
-      case 1: ode_solver = new ForwardEulerSolver; break;
-      case 2: ode_solver = new RK2Solver(1.0); break;
-      case 3: ode_solver = new RK3SSPSolver; break;
-      case 4: ode_solver = new RK4Solver; break;
-      case 6: ode_solver = new RK6Solver; break;
-      // Implicit (L-stable) methods
-      case 11: ode_solver = new BackwardEulerSolver; break;
-      case 12: ode_solver = new SDIRK23Solver(2); break;
-      case 13: ode_solver = new SDIRK33Solver; break;
-      // Implicit A-stable methods (not L-stable)
-      case 22: ode_solver = new ImplicitMidpointSolver; break;
-      case 23: ode_solver = new SDIRK23Solver; break;
-      case 24: ode_solver = new SDIRK34Solver; break;
-      default:
-         if (Mpi::Root())
-         {
-            cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
-         }
-         delete mesh;
-         return 3;
-   }
+   unique_ptr<ODESolver> ode_solver = ODESolver::Select(ode_solver_type);
 
    // 5. 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
@@ -642,7 +613,6 @@ int main(int argc, char *argv[])
    delete m;
    delete fes;
    delete pmesh;
-   delete ode_solver;
    delete pd;
 #ifdef MFEM_USE_ADIOS2
    if (adios2)

examples/petsc/ex10p.cpp

@@ -206,6 +206,7 @@ int main(int argc, char *argv[])
    bool use_petsc = true;
    const char *petscrc_file = "";
    bool petsc_use_jfnk = false;
+   const char *device_config = "cpu";
 
    OptionsParser args(argc, argv);
    args.AddOption(&mesh_file, "-m", "--mesh",
@@ -243,6 +244,8 @@ int main(int argc, char *argv[])
    args.AddOption(&petsc_use_jfnk, "-jfnk", "--jfnk", "-no-jfnk",
                   "--no-jfnk",
                   "Use JFNK with user-defined preconditioner factory.");
+   args.AddOption(&device_config, "-d", "--device",
+                  "Device configuration string, see Device::Configure().");
    args.Parse();
    if (!args.Good())
    {
@@ -257,7 +260,12 @@ int main(int argc, char *argv[])
       args.PrintOptions(cout);
    }
 
-   // 2b. We initialize PETSc
+   // 2b. Enable hardware devices such as GPUs, and programming models such as
+   //    CUDA, OCCA, RAJA and OpenMP based on command line options.
+   Device device(device_config);
+   if (myid == 0) { device.Print(); }
+
+   // 2c. We initialize PETSc
    if (use_petsc)
    {
       MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL);

examples/petsc/ex2p.cpp

@@ -67,6 +67,7 @@ int main(int argc, char *argv[])
    bool use_petsc = true;
    const char *petscrc_file = "";
    bool use_nonoverlapping = false;
+   const char *device_config = "cpu";
 
    OptionsParser args(argc, argv);
    args.AddOption(&mesh_file, "-m", "--mesh",
@@ -95,6 +96,8 @@ int main(int argc, char *argv[])
                   "-no-nonoverlapping", "--no-nonoverlapping",
                   "Use or not the block diagonal PETSc's matrix format "
                   "for non-overlapping domain decomposition.");
+   args.AddOption(&device_config, "-d", "--device",
+                  "Device configuration string, see Device::Configure().");
    args.Parse();
    if (!args.Good())
    {
@@ -109,7 +112,12 @@ int main(int argc, char *argv[])
       args.PrintOptions(cout);
    }
 
-   // 2b. We initialize PETSc
+   // 2b. Enable hardware devices such as GPUs, and programming models such as
+   //    CUDA, OCCA, RAJA and OpenMP based on command line options.
+   Device device(device_config);
+   if (myid == 0) { device.Print(); }
+
+   // 2c. We initialize PETSc
    if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
 
    // 3. Read the (serial) mesh from the given mesh file on all processors.  We

examples/petsc/ex3p.cpp

@@ -61,6 +61,7 @@ int main(int argc, char *argv[])
    bool use_petsc = true;
    const char *petscrc_file = "";
    bool use_nonoverlapping = false;
+   const char *device_config = "cpu";
 
    OptionsParser args(argc, argv);
    args.AddOption(&mesh_file, "-m", "--mesh",
@@ -87,6 +88,8 @@ int main(int argc, char *argv[])
                   "-no-nonoverlapping", "--no-nonoverlapping",
                   "Use or not the block diagonal PETSc's matrix format "
                   "for non-overlapping domain decomposition.");
+   args.AddOption(&device_config, "-d", "--device",
+                  "Device configuration string, see Device::Configure().");
    args.Parse();
    if (!args.Good())
    {
@@ -100,10 +103,16 @@ int main(int argc, char *argv[])
    {
       args.PrintOptions(cout);
    }
-   // 2b. We initialize PETSc
-   if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
    kappa = freq * M_PI;
 
+   // 2b. Enable hardware devices such as GPUs, and programming models such as
+   //    CUDA, OCCA, RAJA and OpenMP based on command line options.
+   Device device(device_config);
+   if (myid == 0) { device.Print(); }
+
+   // 2c. We initialize PETSc
+   if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
+
    // 3. Read the (serial) mesh from the given mesh file on all processors.  We
    //    can handle triangular, quadrilateral, tetrahedral, hexahedral, surface
    //    and volume meshes with the same code.

examples/petsc/ex4p.cpp

@@ -58,6 +58,7 @@ int main(int argc, char *argv[])
    bool use_petsc = true;
    const char *petscrc_file = "";
    bool use_nonoverlapping = false;
+   const char *device_config = "cpu";
 
    OptionsParser args(argc, argv);
    args.AddOption(&mesh_file, "-m", "--mesh",
@@ -88,6 +89,8 @@ int main(int argc, char *argv[])
                   "-no-nonoverlapping", "--no-nonoverlapping",
                   "Use or not the block diagonal PETSc's matrix format "
                   "for non-overlapping domain decomposition.");
+   args.AddOption(&device_config, "-d", "--device",
+                  "Device configuration string, see Device::Configure().");
    args.Parse();
    if (!args.Good())
    {
@@ -101,10 +104,16 @@ int main(int argc, char *argv[])
    {
       args.PrintOptions(cout);
    }
-   // 2b. We initialize PETSc
-   if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
    kappa = freq * M_PI;
 
+   // 2b. Enable hardware devices such as GPUs, and programming models such as
+   //    CUDA, OCCA, RAJA and OpenMP based on command line options.
+   Device device(device_config);
+   if (myid == 0) { device.Print(); }
+
+   // 2c. We initialize PETSc
+   if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
+
    // 3. Read the (serial) mesh from the given mesh file on all processors.  We
    //    can handle triangular, quadrilateral, tetrahedral, hexahedral, surface
    //    and volume, as well as periodic meshes with the same code.

examples/petsc/ex5p.cpp

@@ -59,6 +59,8 @@ int main(int argc, char *argv[])
 
    // 2. Parse command-line options.
    const char *mesh_file = "../../data/star.mesh";
+   int ser_ref_levels = -1;
+   int par_ref_levels = 2;
    int order = 1;
    bool par_format = false;
    bool visualization = 1;
@@ -66,15 +68,22 @@ int main(int argc, char *argv[])
    bool use_nonoverlapping = false;
    bool local_bdr_spec = false;
    const char *petscrc_file = "";
+   const char *device_config = "cpu";
 
    OptionsParser args(argc, argv);
    args.AddOption(&mesh_file, "-m", "--mesh",
                   "Mesh file to use.");
+   args.AddOption(&ser_ref_levels, "-rs", "--refine-serial",
+                  "Number of times to refine the mesh uniformly in serial.");
+   args.AddOption(&par_ref_levels, "-rp", "--refine-parallel",
+                  "Number of times to refine the mesh uniformly in parallel.");
    args.AddOption(&order, "-o", "--order",
                   "Finite element order (polynomial degree).");
    args.AddOption(&par_format, "-pf", "--parallel-format", "-sf",
                   "--serial-format",
                   "Format to use when saving the results for VisIt.");
+   args.AddOption(&device_config, "-d", "--device",
+                  "Device configuration string, see Device::Configure().");
    args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
                   "--no-visualization",
                   "Enable or disable GLVis visualization.");
@@ -103,7 +112,13 @@ int main(int argc, char *argv[])
    {
       args.PrintOptions(cout);
    }
-   // 2b. We initialize PETSc
+
+   // 2b. Enable hardware devices such as GPUs, and programming models such as
+   //    CUDA, OCCA, RAJA and OpenMP based on command line options.
+   Device device(device_config);
+   if (myid == 0) { device.Print(); }
+
+   // 2c. We initialize PETSc
    if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
 
    // 3. Read the (serial) mesh from the given mesh file on all processors.  We
@@ -117,9 +132,11 @@ int main(int argc, char *argv[])
    //    'ref_levels' to be the largest number that gives a final mesh with no
    //    more than 10,000 elements.
    {
-      int ref_levels =
-         (int)floor(log(10000./mesh->GetNE())/log(2.)/dim);
-      for (int l = 0; l < ref_levels; l++)
+      if (ser_ref_levels < 0)
+      {
+         ser_ref_levels = (int)floor(log(10000./mesh->GetNE())/log(2.)/dim);
+      }
+      for (int l = 0; l < ser_ref_levels; l++)
       {
          mesh->UniformRefinement();
       }
@@ -131,7 +148,6 @@ int main(int argc, char *argv[])
    ParMesh *pmesh = new ParMesh(MPI_COMM_WORLD, *mesh);
    delete mesh;
    {
-      int par_ref_levels = 2;
       for (int l = 0; l < par_ref_levels; l++)
       {
          pmesh->UniformRefinement();
@@ -187,21 +203,26 @@ int main(int argc, char *argv[])
 
    // 9. Define the parallel grid function and parallel linear forms, solution
    //    vector and rhs.
-   BlockVector x(block_offsets), rhs(block_offsets);
-   BlockVector trueX(block_trueOffsets), trueRhs(block_trueOffsets);
+   MemoryType mt = device.GetMemoryType();
+   BlockVector x(block_offsets, mt), rhs(block_offsets, mt);
+   BlockVector trueX(block_trueOffsets, mt), trueRhs(block_trueOffsets, mt);
 
    ParLinearForm *fform(new ParLinearForm);
    fform->Update(R_space, rhs.GetBlock(0), 0);
    fform->AddDomainIntegrator(new VectorFEDomainLFIntegrator(fcoeff));
    fform->AddBoundaryIntegrator(new VectorFEBoundaryFluxLFIntegrator(fnatcoeff));
    fform->Assemble();
+   fform->SyncAliasMemory(rhs);
    fform->ParallelAssemble(trueRhs.GetBlock(0));
+   trueRhs.GetBlock(0).SyncAliasMemory(trueRhs);
 
    ParLinearForm *gform(new ParLinearForm);
    gform->Update(W_space, rhs.GetBlock(1), 0);
    gform->AddDomainIntegrator(new DomainLFIntegrator(gcoeff));
    gform->Assemble();
+   gform->SyncAliasMemory(rhs);
    gform->ParallelAssemble(trueRhs.GetBlock(1));
+   trueRhs.GetBlock(1).SyncAliasMemory(trueRhs);
 
    // 10. Assemble the finite element matrices for the Darcy operator
    //

examples/petsc/ex6p.cpp

@@ -53,6 +53,7 @@ int main(int argc, char *argv[])
    bool use_petsc = true;
    const char *petscrc_file = "";
    bool use_nonoverlapping = false;
+   const char *device_config = "cpu";
 
    OptionsParser args(argc, argv);
    args.AddOption(&mesh_file, "-m", "--mesh",
@@ -73,6 +74,8 @@ int main(int argc, char *argv[])
                   "-no-nonoverlapping", "--no-nonoverlapping",
                   "Use or not the block diagonal PETSc's matrix format "
                   "for non-overlapping domain decomposition.");
+   args.AddOption(&device_config, "-d", "--device",
+                  "Device configuration string, see Device::Configure().");
    args.Parse();
    if (!args.Good())
    {
@@ -86,7 +89,13 @@ int main(int argc, char *argv[])
    {
       args.PrintOptions(cout);
    }
-   // 2b. We initialize PETSc
+
+   // 2b. Enable hardware devices such as GPUs, and programming models such as
+   //    CUDA, OCCA, RAJA and OpenMP based on command line options.
+   Device device(device_config);
+   if (myid == 0) { device.Print(); }
+
+   // 2c. We initialize PETSc
    if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
 
    // 3. Read the (serial) mesh from the given mesh file on all processors.  We

examples/sundials/ex10.cpp

@@ -9,9 +9,9 @@
 //    ex10 -m ../../data/beam-quad.mesh -r 2 -o 2 -s 12 -dt 0.15 -vs 10
 //    ex10 -m ../../data/beam-tri.mesh  -r 2 -o 2 -s 16 -dt 0.3  -vs 5
 //    ex10 -m ../../data/beam-hex.mesh  -r 1 -o 2 -s 12 -dt 0.2  -vs 5
-//    ex10 -m ../../data/beam-tri.mesh  -r 2 -o 2 -s  2 -dt 3 -nls kinsol
-//    ex10 -m ../../data/beam-quad.mesh -r 2 -o 2 -s  2 -dt 3 -nls kinsol
-//    ex10 -m ../../data/beam-hex.mesh  -r 1 -o 2 -s  2 -dt 3 -nls kinsol
+//    ex10 -m ../../data/beam-tri.mesh  -r 2 -o 2 -s  2 -dt 3 -nls 1
+//    ex10 -m ../../data/beam-quad.mesh -r 2 -o 2 -s  2 -dt 3 -nls 2
+//    ex10 -m ../../data/beam-hex.mesh  -r 1 -o 2 -s  2 -dt 3 -nls 4
 //    ex10 -m ../../data/beam-quad.mesh -r 2 -o 2 -s 14 -dt 0.15 -vs 10
 //    ex10 -m ../../data/beam-tri.mesh  -r 2 -o 2 -s 17 -dt 0.01 -vs 30
 //    ex10 -m ../../data/beam-hex.mesh  -r 1 -o 2 -s 14 -dt 0.15 -vs 10
@@ -99,16 +99,11 @@ protected:
    double saved_gamma; // saved gamma value from implicit setup
 
 public:
-   /// Solver type to use in the ImplicitSolve() method, used by SDIRK methods.
-   enum NonlinearSolverType
-   {
-      NEWTON = 0, ///< Use MFEM's plain NewtonSolver
-      KINSOL = 1  ///< Use SUNDIALS' KINSOL (through MFEM's class KINSolver)
-   };
 
    HyperelasticOperator(FiniteElementSpace &f, Array<int> &ess_bdr,
                         double visc, double mu, double K,
-                        NonlinearSolverType nls_type);
+                        int kinsol_nls_type = -1, double kinsol_damping = 0.0,
+                        int kinsol_aa_n = 0);
 
    /// Compute the right-hand side of the ODE system.
    virtual void Mult(const Vector &vx, Vector &dvx_dt) const;
@@ -226,8 +221,10 @@ int main(int argc, char *argv[])
    double mu = 0.25;
    double K = 5.0;
    bool visualization = true;
-   const char *nls = "newton";
+   int nonlinear_solver_type = 0;
    int vis_steps = 1;
+   double kinsol_damping = 0.0;
+   int kinsol_aa_n = -1;
 
    // Relative and absolute tolerances for CVODE and ARKODE.
    const double reltol = 1e-1, abstol = 1e-1;
@@ -264,9 +261,18 @@ int main(int argc, char *argv[])
                   "15 - ARKODE implicit, approximate Jacobian,\n\t"
                   "16 - ARKODE implicit, specified Jacobian,\n\t"
                   "17 - ARKODE explicit, 4th order.");
-   args.AddOption(&nls, "-nls", "--nonlinear-solver",
-                  "Nonlinear systems solver: "
-                  "\"newton\" (plain Newton) or \"kinsol\" (KINSOL).");
+   args.AddOption(&nonlinear_solver_type, "-nls", "--nonlinear-solver",
+                  "Nonlinear system solver:\n\t"
+                  "0  - MFEM Newton method,\n\t"
+                  "1  - KINSOL Newton method,\n\t"
+                  "2  - KINSOL Newton method with globalization,\n\t"
+                  "3  - KINSOL fixed-point method (with or without AA),\n\t"
+                  "4  - KINSOL Picard method (with or without AA).");
+   args.AddOption(&kinsol_damping, "-damp", "--kinsol-damping",
+                  "Picard or Fixed-Point damping parameter (only valid with KINSOL): "
+                  "0 < d <= 1.0");
+   args.AddOption(&kinsol_aa_n, "-aan", "--anderson-subspace",
+                  "Anderson Acceleration subspace size (only valid with KINSOL)");
    args.AddOption(&t_final, "-tf", "--t-final",
                   "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
@@ -297,22 +303,32 @@ int main(int argc, char *argv[])
       return 1;
    }
 
+   // check for valid nonlinear solver options
+   if (nonlinear_solver_type < 0 || nonlinear_solver_type > 4)
+   {
+      cout << "Unknown nonlinear solver type: " << nonlinear_solver_type << "\n";
+      return 1;
+   }
+   if (kinsol_damping > 0.0 &&
+       !(nonlinear_solver_type == 3 || nonlinear_solver_type == 4))
+   {
+      cout << "Only KINSOL fixed-point and Picard methods can use damping\n";
+      return 1;
+   }
+   if (kinsol_aa_n > 0 &&
+       !(nonlinear_solver_type == 3 || nonlinear_solver_type == 4))
+   {
+      cout << "Only KINSOL fixed-point and Picard methods can use AA\n";
+      return 1;
+   }
+
+
    // 2. Read the mesh from the given mesh file. We can handle triangular,
    //    quadrilateral, tetrahedral and hexahedral meshes with the same code.
    Mesh *mesh = new Mesh(mesh_file, 1, 1);
    int dim = mesh->Dimension();
 
-   // 3. Setup the nonlinear solver
-   map<string,HyperelasticOperator::NonlinearSolverType> nls_map;
-   nls_map["newton"] = HyperelasticOperator::NEWTON;
-   nls_map["kinsol"] = HyperelasticOperator::KINSOL;
-   if (nls_map.find(nls) == nls_map.end())
-   {
-      cout << "Unknown type of nonlinear solver: " << nls << endl;
-      return 4;
-   }
-
-   // 4. Refine the mesh to increase the resolution. In this example we do
+   // 3. Refine the mesh to increase the resolution. In this example we do
    //    'ref_levels' of uniform refinement, where 'ref_levels' is a
    //    command-line parameter.
    for (int lev = 0; lev < ref_levels; lev++)
@@ -320,7 +336,7 @@ int main(int argc, char *argv[])
       mesh->UniformRefinement();
    }
 
-   // 5. Define the vector finite element spaces representing the mesh
+   // 4. Define the vector finite element spaces representing the mesh
    //    deformation x, the velocity v, and the initial configuration, x_ref.
    //    Define also the elastic energy density, w, which is in a discontinuous
    //    higher-order space. Since x and v are integrated in time as a system,
@@ -348,7 +364,7 @@ int main(int argc, char *argv[])
    FiniteElementSpace w_fespace(mesh, &w_fec);
    GridFunction w(&w_fespace);
 
-   // 6. Set the initial conditions for v and x, and the boundary conditions on
+   // 5. Set the initial conditions for v and x, and the boundary conditions on
    //    a beam-like mesh (see description above).
    VectorFunctionCoefficient velo(dim, InitialVelocity);
    v.ProjectCoefficient(velo);
@@ -361,9 +377,34 @@ int main(int argc, char *argv[])
    ess_bdr = 0;
    ess_bdr[0] = 1; // boundary attribute 1 (index 0) is fixed
 
-   // 7. Initialize the hyperelastic operator, the GLVis visualization and print
+   // 6. Initialize the hyperelastic operator, the GLVis visualization and print
    //    the initial energies.
-   HyperelasticOperator oper(fespace, ess_bdr, visc, mu, K, nls_map[nls]);
+   std::unique_ptr<HyperelasticOperator> oper;
+   if (nonlinear_solver_type == 0)
+      oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr, visc, mu,
+                                                    K);
+   else
+   {
+      switch (nonlinear_solver_type)
+      {
+         case 1:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_NONE);
+            break;
+         case 2:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_LINESEARCH);
+            break;
+         case 3:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_FP, kinsol_damping, kinsol_aa_n);
+            break;
+         case 4:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_PICARD, kinsol_damping, kinsol_aa_n);
+            break;
+      }
+   }
 
    socketstream vis_v, vis_w;
    if (visualization)
@@ -377,23 +418,23 @@ int main(int argc, char *argv[])
       vis_w.open(vishost, visport);
       if (vis_w)
       {
-         oper.GetElasticEnergyDensity(x, w);
+         oper->GetElasticEnergyDensity(x, w);
          vis_w.precision(8);
          visualize(vis_w, mesh, &x, &w, "Elastic energy density", true);
       }
    }
 
-   double ee0 = oper.ElasticEnergy(x.GetTrueVector());
-   double ke0 = oper.KineticEnergy(v.GetTrueVector());
+   double ee0 = oper->ElasticEnergy(x.GetTrueVector());
+   double ke0 = oper->KineticEnergy(v.GetTrueVector());
    cout << "initial elastic energy (EE) = " << ee0 << endl;
    cout << "initial kinetic energy (KE) = " << ke0 << endl;
    cout << "initial   total energy (TE) = " << (ee0 + ke0) << endl;
 
-   // 8. Define the ODE solver used for time integration. Several implicit
+   // 7. Define the ODE solver used for time integration. Several implicit
    //    singly diagonal implicit Runge-Kutta (SDIRK) methods, as well as
    //    explicit Runge-Kutta methods are available.
    double t = 0.0;
-   oper.SetTime(t);
+   oper->SetTime(t);
 
    ODESolver *ode_solver = NULL;
    CVODESolver *cvode = NULL;
@@ -417,7 +458,7 @@ int main(int argc, char *argv[])
       case 11:
       case 12:
          cvode = new CVODESolver(CV_BDF);
-         cvode->Init(oper);
+         cvode->Init(*oper);
          cvode->SetSStolerances(reltol, abstol);
          CVodeSetEpsLin(cvode->GetMem(), cvode_eps_lin);
          cvode->SetMaxStep(dt);
@@ -430,7 +471,7 @@ int main(int argc, char *argv[])
       case 13:
       case 14:
          cvode = new CVODESolver(CV_ADAMS);
-         cvode->Init(oper);
+         cvode->Init(*oper);
          cvode->SetSStolerances(reltol, abstol);
          CVodeSetEpsLin(cvode->GetMem(), cvode_eps_lin);
          cvode->SetMaxStep(dt);
@@ -443,9 +484,13 @@ int main(int argc, char *argv[])
       case 15:
       case 16:
          arkode = new ARKStepSolver(ARKStepSolver::IMPLICIT);
-         arkode->Init(oper);
+         arkode->Init(*oper);
          arkode->SetSStolerances(reltol, abstol);
+#if MFEM_SUNDIALS_VERSION < 70100
          ARKStepSetNonlinConvCoef(arkode->GetMem(), arkode_eps_nonlin);
+#else
+         ARKodeSetNonlinConvCoef(arkode->GetMem(), arkode_eps_nonlin);
+#endif
          arkode->SetMaxStep(dt);
          if (ode_solver_type == 15)
          {
@@ -455,16 +500,16 @@ int main(int argc, char *argv[])
       // ARKStep Explicit methods
       case 17:
          arkode = new ARKStepSolver(ARKStepSolver::EXPLICIT);
-         arkode->Init(oper);
+         arkode->Init(*oper);
          arkode->SetSStolerances(reltol, abstol);
          arkode->SetMaxStep(dt);
          ode_solver = arkode; break;
    }
 
    // Initialize MFEM integrators, SUNDIALS integrators are initialized above
-   if (ode_solver_type < 11) { ode_solver->Init(oper); }
+   if (ode_solver_type < 11) { ode_solver->Init(*oper); }
 
-   // 9. Perform time-integration (looping over the time iterations, ti, with a
+   // 8. Perform time-integration (looping over the time iterations, ti, with a
    //    time-step dt).
    bool last_step = false;
    for (int ti = 1; !last_step; ti++)
@@ -477,8 +522,8 @@ int main(int argc, char *argv[])
 
       if (last_step || (ti % vis_steps) == 0)
       {
-         double ee = oper.ElasticEnergy(x.GetTrueVector());
-         double ke = oper.KineticEnergy(v.GetTrueVector());
+         double ee = oper->ElasticEnergy(x.GetTrueVector());
+         double ke = oper->KineticEnergy(v.GetTrueVector());
 
          cout << "step " << ti << ", t = " << t << ", EE = " << ee << ", KE = "
               << ke << ", ΔTE = " << (ee+ke)-(ee0+ke0) << endl;
@@ -492,14 +537,14 @@ int main(int argc, char *argv[])
             visualize(vis_v, mesh, &x, &v);
             if (vis_w)
             {
-               oper.GetElasticEnergyDensity(x, w);
+               oper->GetElasticEnergyDensity(x, w);
                visualize(vis_w, mesh, &x, &w);
             }
          }
       }
    }
 
-   // 10. Save the displaced mesh, the velocity and elastic energy.
+   // 9. Save the displaced mesh, the velocity and elastic energy.
    {
       v.SetFromTrueVector(); x.SetFromTrueVector();
       GridFunction *nodes = &x;
@@ -514,11 +559,11 @@ int main(int argc, char *argv[])
       v.Save(velo_ofs);
       ofstream ee_ofs("elastic_energy.sol");
       ee_ofs.precision(8);
-      oper.GetElasticEnergyDensity(x, w);
+      oper->GetElasticEnergyDensity(x, w);
       w.Save(ee_ofs);
    }
 
-   // 11. Free the used memory.
+   // 10. Free the used memory.
    delete ode_solver;
    delete mesh;
 
@@ -602,7 +647,9 @@ ReducedSystemOperator::~ReducedSystemOperator()
 HyperelasticOperator::HyperelasticOperator(FiniteElementSpace &f,
                                            Array<int> &ess_bdr, double visc,
                                            double mu, double K,
-                                           NonlinearSolverType nls_type)
+                                           int kinsol_nls_type,
+                                           double kinsol_damping,
+                                           int kinsol_aa_n)
    : TimeDependentOperator(2*f.GetTrueVSize(), 0.0), fespace(f),
      M(&fespace), S(&fespace), H(&fespace),
      viscosity(visc), z(height/2),
@@ -653,15 +700,28 @@ HyperelasticOperator::HyperelasticOperator(FiniteElementSpace &f,
    J_prec = NULL;
 #endif
 
-   if (nls_type == KINSOL)
+   if (kinsol_nls_type > 0)
    {
-      KINSolver *kinsolver = new KINSolver(KIN_NONE, true);
+      KINSolver *kinsolver = new KINSolver(kinsol_nls_type, true);
+      if (kinsol_nls_type != KIN_PICARD)
+      {
+         kinsolver->SetJFNK(true);
+         kinsolver->SetLSMaxIter(100);
+      }
+      if (kinsol_aa_n > 0)
+      {
+         kinsolver->EnableAndersonAcc(kinsol_aa_n);
+      }
       newton_solver = kinsolver;
       newton_solver->SetOperator(*reduced_oper);
       newton_solver->SetMaxIter(200);
       newton_solver->SetRelTol(rel_tol);
       newton_solver->SetPrintLevel(0);
       kinsolver->SetMaxSetupCalls(4);
+      if (kinsol_damping > 0.0)
+      {
+         kinsolver->SetDamping(kinsol_damping);
+      }
    }
    else
    {

examples/sundials/ex10p.cpp

@@ -9,9 +9,9 @@
 //    mpirun -np 4 ex10p -m ../../data/beam-quad.mesh -rp 1 -o 2 -s 12 -dt 0.15 -vs 10
 //    mpirun -np 4 ex10p -m ../../data/beam-tri.mesh  -rp 1 -o 2 -s 16 -dt 0.25 -vs 10
 //    mpirun -np 4 ex10p -m ../../data/beam-hex.mesh  -rp 0 -o 2 -s 12 -dt 0.15 -vs 10
-//    mpirun -np 4 ex10p -m ../../data/beam-tri.mesh  -rp 1 -o 2 -s  2 -dt 3 -nls kinsol
-//    mpirun -np 4 ex10p -m ../../data/beam-quad.mesh -rp 1 -o 2 -s  2 -dt 3 -nls kinsol
-//    mpirun -np 4 ex10p -m ../../data/beam-hex.mesh  -rs 1 -o 2 -s  2 -dt 3 -nls kinsol
+//    mpirun -np 4 ex10p -m ../../data/beam-tri.mesh  -rp 1 -o 2 -s  2 -dt 3 -nls 1
+//    mpirun -np 4 ex10p -m ../../data/beam-quad.mesh -rp 1 -o 2 -s  2 -dt 3 -nls 2
+//    mpirun -np 4 ex10p -m ../../data/beam-hex.mesh  -rs 1 -o 2 -s  2 -dt 3 -nls 4
 //    mpirun -np 4 ex10p -m ../../data/beam-quad.mesh -rp 1 -o 2 -s 14 -dt 0.15 -vs 10
 //    mpirun -np 4 ex10p -m ../../data/beam-tri.mesh  -rp 1 -o 2 -s 17 -dt 5e-3 -vs 60
 //    mpirun -np 4 ex10p -m ../../data/beam-hex.mesh  -rp 0 -o 2 -s 14 -dt 0.15 -vs 10
@@ -101,16 +101,11 @@ protected:
    double saved_gamma; // saved gamma value from implicit setup
 
 public:
-   /// Solver type to use in the ImplicitSolve() method, used by SDIRK methods.
-   enum NonlinearSolverType
-   {
-      NEWTON = 0, ///< Use MFEM's plain NewtonSolver
-      KINSOL = 1  ///< Use SUNDIALS' KINSOL (through MFEM's class KINSolver)
-   };
 
    HyperelasticOperator(ParFiniteElementSpace &f, Array<int> &ess_bdr,
                         double visc, double mu, double K,
-                        NonlinearSolverType nls_type);
+                        int kinsol_nls_type = -1, double kinsol_damping = 0.0,
+                        int kinsol_aa_n = 0);
 
    /// Compute the right-hand side of the ODE system.
    virtual void Mult(const Vector &vx, Vector &dvx_dt) const;
@@ -235,8 +230,10 @@ int main(int argc, char *argv[])
    double mu = 0.25;
    double K = 5.0;
    bool visualization = true;
-   const char *nls = "newton";
+   int nonlinear_solver_type = 0;
    int vis_steps = 1;
+   double kinsol_damping = 0.0;
+   int kinsol_aa_n = -1;
 
    // Relative and absolute tolerances for CVODE and ARKODE.
    const double reltol = 1e-1, abstol = 1e-1;
@@ -275,9 +272,18 @@ int main(int argc, char *argv[])
                   "15 - ARKODE implicit, approximate Jacobian,\n\t"
                   "16 - ARKODE implicit, specified Jacobian,\n\t"
                   "17 - ARKODE explicit, 4th order.");
-   args.AddOption(&nls, "-nls", "--nonlinear-solver",
-                  "Nonlinear systems solver: "
-                  "\"newton\" (plain Newton) or \"kinsol\" (KINSOL).");
+   args.AddOption(&nonlinear_solver_type, "-nls", "--nonlinear-solver",
+                  "Nonlinear system solver:\n\t"
+                  "0  - MFEM Newton method,\n\t"
+                  "1  - KINSOL Newton method,\n\t"
+                  "2  - KINSOL Newton method with globalization,\n\t"
+                  "3  - KINSOL fixed-point method (with or without AA),\n\t"
+                  "4  - KINSOL Picard method (with or without AA).");
+   args.AddOption(&kinsol_damping, "-damp", "--kinsol-damping",
+                  "Picard or Fixed-Point damping parameter (only valid with KINSOL): "
+                  "0 < d <= 1.0");
+   args.AddOption(&kinsol_aa_n, "-aan", "--anderson-subspace",
+                  "Anderson Acceleration subspace size (only valid with KINSOL)");
    args.AddOption(&t_final, "-tf", "--t-final",
                   "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
@@ -317,27 +323,42 @@ int main(int argc, char *argv[])
       return 1;
    }
 
+   // check for valid nonlinear solver options
+   if (nonlinear_solver_type < 0 || nonlinear_solver_type > 4)
+   {
+      if (myid == 0)
+      {
+         cout << "Unknown nonlinear solver type: " << nonlinear_solver_type
+              << "\n";
+      }
+      return 1;
+   }
+   if (kinsol_damping > 0.0 &&
+       !(nonlinear_solver_type == 3 || nonlinear_solver_type == 4))
+   {
+      if (myid == 0)
+      {
+         cout << "Only KINSOL fixed-point and Picard methods can use damping\n";
+      }
+      return 1;
+   }
+   if (kinsol_aa_n > 0 &&
+       !(nonlinear_solver_type == 3 || nonlinear_solver_type == 4))
+   {
+      if (myid == 0)
+      {
+         cout << "Only KINSOL fixed-point and Picard methods can use AA\n";
+      }
+      return 1;
+   }
+
    // 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.
    Mesh *mesh = new Mesh(mesh_file, 1, 1);
    int dim = mesh->Dimension();
 
-   // 4. Nonlinear solver
-   map<string,HyperelasticOperator::NonlinearSolverType> nls_map;
-   nls_map["newton"] = HyperelasticOperator::NEWTON;
-   nls_map["kinsol"] = HyperelasticOperator::KINSOL;
-   if (nls_map.find(nls) == nls_map.end())
-   {
-      if (myid == 0)
-      {
-         cout << "Unknown type of nonlinear solver: " << nls << endl;
-      }
-      delete mesh;
-      return 4;
-   }
-
-   // 5. Refine the mesh in serial to increase the resolution. In this example
+   // 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++)
@@ -345,7 +366,7 @@ int main(int argc, char *argv[])
       mesh->UniformRefinement();
    }
 
-   // 6. Define a parallel mesh by a partitioning of the serial mesh. Refine
+   // 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);
@@ -355,7 +376,7 @@ int main(int argc, char *argv[])
       pmesh->UniformRefinement();
    }
 
-   // 7. Define the parallel vector finite element spaces representing the mesh
+   // 6. Define the parallel vector finite element spaces representing the mesh
    //    deformation x_gf, the velocity v_gf, and the initial configuration,
    //    x_ref. Define also the elastic energy density, w_gf, which is in a
    //    discontinuous higher-order space. Since x and v are integrated in time
@@ -387,7 +408,7 @@ int main(int argc, char *argv[])
    ParFiniteElementSpace w_fespace(pmesh, &w_fec);
    ParGridFunction w_gf(&w_fespace);
 
-   // 8. Set the initial conditions for v_gf, x_gf and vx, and define the
+   // 7. Set the initial conditions for v_gf, x_gf and vx, and define the
    //    boundary conditions on a beam-like mesh (see description above).
    VectorFunctionCoefficient velo(dim, InitialVelocity);
    v_gf.ProjectCoefficient(velo);
@@ -402,9 +423,38 @@ int main(int argc, char *argv[])
    ess_bdr = 0;
    ess_bdr[0] = 1; // boundary attribute 1 (index 0) is fixed
 
-   // 9. Initialize the hyperelastic operator, the GLVis visualization and print
+   // 8. Initialize the hyperelastic operator, the GLVis visualization and print
    //    the initial energies.
-   HyperelasticOperator oper(fespace, ess_bdr, visc, mu, K, nls_map[nls]);
+   std::unique_ptr<HyperelasticOperator> oper;
+   if (nonlinear_solver_type == 0)
+      oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr, visc, mu,
+                                                    K);
+   else
+   {
+      switch (nonlinear_solver_type)
+      {
+         case 1:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_NONE);
+            break;
+         case 2:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_LINESEARCH);
+            break;
+         case 3:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_FP, kinsol_damping, kinsol_aa_n);
+            break;
+         case 4:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_PICARD, kinsol_damping, kinsol_aa_n);
+            break;
+         default:
+            cout << "Unknown type of nonlinear solver: "
+                 << nonlinear_solver_type << endl;
+            return 4;
+      }
+   }
 
    socketstream vis_v, vis_w;
    if (visualization)
@@ -420,14 +470,14 @@ int main(int argc, char *argv[])
       vis_w.open(vishost, visport);
       if (vis_w)
       {
-         oper.GetElasticEnergyDensity(x_gf, w_gf);
+         oper->GetElasticEnergyDensity(x_gf, w_gf);
          vis_w.precision(8);
          visualize(vis_w, pmesh, &x_gf, &w_gf, "Elastic energy density", true);
       }
    }
 
-   double ee0 = oper.ElasticEnergy(x_gf);
-   double ke0 = oper.KineticEnergy(v_gf);
+   double ee0 = oper->ElasticEnergy(x_gf);
+   double ke0 = oper->KineticEnergy(v_gf);
    if (myid == 0)
    {
       cout << "initial elastic energy (EE) = " << ee0 << endl;
@@ -435,11 +485,11 @@ int main(int argc, char *argv[])
       cout << "initial   total energy (TE) = " << (ee0 + ke0) << endl;
    }
 
-   // 10. Define the ODE solver used for time integration. Several implicit
-   //     singly diagonal implicit Runge-Kutta (SDIRK) methods, as well as
-   //     explicit Runge-Kutta methods are available.
+   // 9. Define the ODE solver used for time integration. Several implicit
+   //    singly diagonal implicit Runge-Kutta (SDIRK) methods, as well as
+   //    explicit Runge-Kutta methods are available.
    double t = 0.0;
-   oper.SetTime(t);
+   oper->SetTime(t);
 
    ODESolver *ode_solver = NULL;
    CVODESolver *cvode = NULL;
@@ -463,7 +513,7 @@ int main(int argc, char *argv[])
       case 11:
       case 12:
          cvode = new CVODESolver(MPI_COMM_WORLD, CV_BDF);
-         cvode->Init(oper);
+         cvode->Init(*oper);
          cvode->SetSStolerances(reltol, abstol);
          CVodeSetEpsLin(cvode->GetMem(), cvode_eps_lin);
          cvode->SetMaxStep(dt);
@@ -476,7 +526,7 @@ int main(int argc, char *argv[])
       case 13:
       case 14:
          cvode = new CVODESolver(MPI_COMM_WORLD, CV_ADAMS);
-         cvode->Init(oper);
+         cvode->Init(*oper);
          cvode->SetSStolerances(reltol, abstol);
          CVodeSetEpsLin(cvode->GetMem(), cvode_eps_lin);
          cvode->SetMaxStep(dt);
@@ -489,9 +539,13 @@ int main(int argc, char *argv[])
       case 15:
       case 16:
          arkode = new ARKStepSolver(MPI_COMM_WORLD, ARKStepSolver::IMPLICIT);
-         arkode->Init(oper);
+         arkode->Init(*oper);
          arkode->SetSStolerances(reltol, abstol);
+#if MFEM_SUNDIALS_VERSION < 70100
          ARKStepSetNonlinConvCoef(arkode->GetMem(), arkode_eps_nonlin);
+#else
+         ARKodeSetNonlinConvCoef(arkode->GetMem(), arkode_eps_nonlin);
+#endif
          arkode->SetMaxStep(dt);
          if (ode_solver_type == 15)
          {
@@ -501,16 +555,16 @@ int main(int argc, char *argv[])
       // ARKStep Explicit methods
       case 17:
          arkode = new ARKStepSolver(MPI_COMM_WORLD, ARKStepSolver::EXPLICIT);
-         arkode->Init(oper);
+         arkode->Init(*oper);
          arkode->SetSStolerances(reltol, abstol);
          arkode->SetMaxStep(dt);
          ode_solver = arkode; break;
    }
 
    // Initialize MFEM integrators, SUNDIALS integrators are initialized above
-   if (ode_solver_type < 11) { ode_solver->Init(oper); }
+   if (ode_solver_type < 11) { ode_solver->Init(*oper); }
 
-   // 11. Perform time-integration
+   // 10. Perform time-integration
    //     (looping over the time iterations, ti, with a time-step dt).
    bool last_step = false;
    for (int ti = 1; !last_step; ti++)
@@ -525,8 +579,8 @@ int main(int argc, char *argv[])
       {
          v_gf.SetFromTrueVector(); x_gf.SetFromTrueVector();
 
-         double ee = oper.ElasticEnergy(x_gf);
-         double ke = oper.KineticEnergy(v_gf);
+         double ee = oper->ElasticEnergy(x_gf);
+         double ke = oper->KineticEnergy(v_gf);
 
          if (myid == 0)
          {
@@ -542,14 +596,14 @@ int main(int argc, char *argv[])
             visualize(vis_v, pmesh, &x_gf, &v_gf);
             if (vis_w)
             {
-               oper.GetElasticEnergyDensity(x_gf, w_gf);
+               oper->GetElasticEnergyDensity(x_gf, w_gf);
                visualize(vis_w, pmesh, &x_gf, &w_gf);
             }
          }
       }
    }
 
-   // 12. Save the displaced mesh, the velocity and elastic energy.
+   // 11. Save the displaced mesh, the velocity and elastic energy.
    {
       v_gf.SetFromTrueVector(); x_gf.SetFromTrueVector();
       GridFunction *nodes = &x_gf;
@@ -570,11 +624,11 @@ int main(int argc, char *argv[])
       v_gf.Save(velo_ofs);
       ofstream ee_ofs(ee_name.str().c_str());
       ee_ofs.precision(8);
-      oper.GetElasticEnergyDensity(x_gf, w_gf);
+      oper->GetElasticEnergyDensity(x_gf, w_gf);
       w_gf.Save(ee_ofs);
    }
 
-   // 13. Free the used memory.
+   // 12. Free the used memory.
    delete ode_solver;
    delete pmesh;
 
@@ -664,7 +718,10 @@ ReducedSystemOperator::~ReducedSystemOperator()
 HyperelasticOperator::HyperelasticOperator(ParFiniteElementSpace &f,
                                            Array<int> &ess_bdr, double visc,
                                            double mu, double K,
-                                           NonlinearSolverType nls_type)
+                                           int kinsol_nls_type,
+                                           double kinsol_damping,
+                                           int kinsol_aa_n)
+
    : TimeDependentOperator(2*f.TrueVSize(), 0.0), fespace(f),
      M(&fespace), S(&fespace), H(&fespace),
      viscosity(visc), M_solver(f.GetComm()), z(height/2),
@@ -716,17 +773,28 @@ HyperelasticOperator::HyperelasticOperator(ParFiniteElementSpace &f,
    J_minres->SetPreconditioner(*J_prec);
    J_solver = J_minres;
 
-   if (nls_type == KINSOL)
+   if (kinsol_nls_type > 0)
    {
-      KINSolver *kinsolver = new KINSolver(f.GetComm(), KIN_LINESEARCH, true);
-      kinsolver->SetJFNK(true);
-      kinsolver->SetLSMaxIter(100);
+      KINSolver *kinsolver = new KINSolver(f.GetComm(), kinsol_nls_type, true);
+      if (kinsol_nls_type != KIN_PICARD)
+      {
+         kinsolver->SetJFNK(true);
+         kinsolver->SetLSMaxIter(100);
+      }
+      if (kinsol_aa_n > 0)
+      {
+         kinsolver->EnableAndersonAcc(kinsol_aa_n);
+      }
       newton_solver = kinsolver;
       newton_solver->SetOperator(*reduced_oper);
       newton_solver->SetMaxIter(200);
       newton_solver->SetRelTol(rel_tol);
-      newton_solver->SetPrintLevel(1);
+      newton_solver->SetPrintLevel(0);
       kinsolver->SetMaxSetupCalls(4);
+      if (kinsol_damping > 0.0)
+      {
+         kinsolver->SetDamping(kinsol_damping);
+      }
    }
    else
    {

examples/sundials/ex16.cpp

@@ -447,7 +447,7 @@ ConductionOperator::ConductionOperator(FiniteElementSpace &fes,
                                        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)
+     fespace(fes), M(&fespace), alpha(alpha), kappa(kappa), z(height)
 {
    // specify a relative tolerance for all solves with MFEM integrators
    const real_t rel_tol = 1e-8;
@@ -522,7 +522,7 @@ int ConductionOperator::SUNImplicitSetup(const Vector &u, const Vector &fu,
    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;
+   return SUN_SUCCESS;
 }
 
 int ConductionOperator::SUNImplicitSolve(const Vector &r, Vector &dk,
@@ -544,7 +544,7 @@ int ConductionOperator::SUNImplicitSolve(const Vector &r, Vector &dk,
    }
    if (T_solver.GetConverged())
    {
-      return SUNLS_SUCCESS;
+      return SUN_SUCCESS;
    }
    else
    {
@@ -555,7 +555,7 @@ int ConductionOperator::SUNImplicitSolve(const Vector &r, Vector &dk,
 int ConductionOperator::SUNMassSetup()
 {
    // Do nothing b/c mass solver was setup in constructor.
-   return SUNLS_SUCCESS;
+   return SUN_SUCCESS;
 }
 
 int ConductionOperator::SUNMassSolve(const Vector &b, Vector &x, real_t tol)
@@ -565,7 +565,7 @@ int ConductionOperator::SUNMassSolve(const Vector &b, Vector &x, real_t tol)
    M_solver.Mult(b, x);
    if (M_solver.GetConverged())
    {
-      return SUNLS_SUCCESS;
+      return SUN_SUCCESS;
    }
    else
    {
@@ -577,6 +577,6 @@ int ConductionOperator::SUNMassMult(const Vector &x, Vector &v)
 {
    // Compute M x.
    Mmat.Mult(x, v);
-   return SUNLS_SUCCESS;
+   return SUN_SUCCESS;
 }
 

examples/sundials/ex16p.cpp

@@ -499,7 +499,7 @@ ConductionOperator::ConductionOperator(ParFiniteElementSpace &fes,
                                        const Vector &u,
                                        const Type &ode_expression_type)
    : TimeDependentOperator(fes.GetTrueVSize(), 0.0, ode_expression_type),
-     fespace(fes), alpha(alpha), kappa(kappa), M(&fespace),
+     fespace(fes), M(&fespace), alpha(alpha), kappa(kappa),
      M_solver(fes.GetComm()), T_solver(fes.GetComm()), z(height)
 {
    // specify a relative tolerance for all solves with MFEM integrators
@@ -576,7 +576,7 @@ int ConductionOperator::SUNImplicitSetup(const Vector &u, const Vector &fu,
    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;
+   return SUN_SUCCESS;
 }
 
 int ConductionOperator::SUNImplicitSolve(const Vector &r, Vector &dk,
@@ -598,7 +598,7 @@ int ConductionOperator::SUNImplicitSolve(const Vector &r, Vector &dk,
    }
    if (T_solver.GetConverged())
    {
-      return SUNLS_SUCCESS;
+      return SUN_SUCCESS;
    }
    else
    {
@@ -609,7 +609,7 @@ int ConductionOperator::SUNImplicitSolve(const Vector &r, Vector &dk,
 int ConductionOperator::SUNMassSetup()
 {
    // Do nothing b/c mass solver was setup in constructor.
-   return SUNLS_SUCCESS;
+   return SUN_SUCCESS;
 }
 
 int ConductionOperator::SUNMassSolve(const Vector &b, Vector &x, real_t tol)
@@ -619,7 +619,7 @@ int ConductionOperator::SUNMassSolve(const Vector &b, Vector &x, real_t tol)
    M_solver.Mult(b, x);
    if (M_solver.GetConverged())
    {
-      return SUNLS_SUCCESS;
+      return SUN_SUCCESS;
    }
    else
    {
@@ -631,5 +631,5 @@ int ConductionOperator::SUNMassMult(const Vector &x, Vector &v)
 {
    // Compute M x.
    Mmat.Mult(x, v);
-   return SUNLS_SUCCESS;
+   return SUN_SUCCESS;
 }

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;
-}