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    from __future__ import division, absolute_import, print_function
    
    __copyright__ = """
    Copyright (C) 2017 Ellis Hoag
    Copyright (C) 2017 Andreas Kloeckner
    """
    
    __license__ = """
    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.
    """
    
    import pytest
    import os
    
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    import numpy as np
    import pyopencl as cl
    
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    import logging
    logger = logging.getLogger(__name__)
    
    
    from grudge import sym, bind, DGDiscretizationWithBoundaries
    
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    from grudge.shortcuts import set_up_rk4
    
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    def simple_mpi_communication_entrypoint():
    
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        cl_ctx = cl.create_some_context()
        queue = cl.CommandQueue(cl_ctx)
    
        from meshmode.distributed import MPIMeshDistributor, get_partition_by_pymetis
    
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        from mpi4py import MPI
        comm = MPI.COMM_WORLD
        num_parts = comm.Get_size()
    
        mesh_dist = MPIMeshDistributor(comm)
    
        if mesh_dist.is_mananger_rank():
            from meshmode.mesh.generation import generate_regular_rect_mesh
    
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            mesh = generate_regular_rect_mesh(a=(-1,)*2,
                                              b=(1,)*2,
    
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                                              n=(3,)*2)
    
    
            part_per_element = get_partition_by_pymetis(mesh, num_parts)
    
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            local_mesh = mesh_dist.send_mesh_parts(mesh, part_per_element, num_parts)
        else:
            local_mesh = mesh_dist.receive_mesh_part()
    
    
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        vol_discr = DGDiscretizationWithBoundaries(cl_ctx, local_mesh, order=5,
    
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        sym_x = sym.nodes(local_mesh.dim)
        myfunc_symb = sym.sin(np.dot(sym_x, [2, 3]))
        myfunc = bind(vol_discr, myfunc_symb)(queue)
    
        sym_all_faces_func = sym.cse(
            sym.interp("vol", "all_faces")(sym.var("myfunc")))
        sym_int_faces_func = sym.cse(
            sym.interp("vol", "int_faces")(sym.var("myfunc")))
        sym_bdry_faces_func = sym.cse(
            sym.interp(sym.BTAG_ALL, "all_faces")(
                sym.interp("vol", sym.BTAG_ALL)(sym.var("myfunc"))))
    
        bound_face_swap = bind(vol_discr,
            sym.interp("int_faces", "all_faces")(
                sym.OppositeInteriorFaceSwap("int_faces")(
                    sym_int_faces_func)
                ) - (sym_all_faces_func - sym_bdry_faces_func)
                )
    
    
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        # print(bound_face_swap)
    
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        # 1/0
    
    
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        hopefully_zero = bound_face_swap(queue, myfunc=myfunc)
        import numpy.linalg as la
        error = la.norm(hopefully_zero.get())
    
        np.set_printoptions(threshold=100000000, suppress=True)
        print(hopefully_zero)
        print(error)
    
        assert error < 1e-14
    
    
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    def mpi_communication_entrypoint():
    
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        cl_ctx = cl.create_some_context()
        queue = cl.CommandQueue(cl_ctx)
    
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        from mpi4py import MPI
        comm = MPI.COMM_WORLD
    
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        i_local_rank = comm.Get_rank()
    
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        num_parts = comm.Get_size()
    
    
        from meshmode.distributed import MPIMeshDistributor, get_partition_by_pymetis
    
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        mesh_dist = MPIMeshDistributor(comm)
    
    
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        dim = 2
    
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        dt = 0.04
        order = 4
    
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        if mesh_dist.is_mananger_rank():
            from meshmode.mesh.generation import generate_regular_rect_mesh
    
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            mesh = generate_regular_rect_mesh(a=(-0.5,)*dim,
                                              b=(0.5,)*dim,
                                              n=(16,)*dim)
    
            part_per_element = get_partition_by_pymetis(mesh, num_parts)
    
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            local_mesh = mesh_dist.send_mesh_parts(mesh, part_per_element, num_parts)
        else:
            local_mesh = mesh_dist.receive_mesh_part()
    
    
        vol_discr = DGDiscretizationWithBoundaries(cl_ctx, local_mesh, order=order,
    
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                                                   mpi_communicator=comm)
    
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        source_center = np.array([0.1, 0.22, 0.33])[:local_mesh.dim]
        source_width = 0.05
        source_omega = 3
    
        sym_x = sym.nodes(local_mesh.dim)
        sym_source_center_dist = sym_x - source_center
        sym_t = sym.ScalarVariable("t")
    
        from grudge.models.wave import StrongWaveOperator
        from meshmode.mesh import BTAG_ALL, BTAG_NONE
        op = StrongWaveOperator(-0.1, vol_discr.dim,
                source_f=(
                    sym.sin(source_omega*sym_t)
                    * sym.exp(
                        -np.dot(sym_source_center_dist, sym_source_center_dist)
                        / source_width**2)),
                dirichlet_tag=BTAG_NONE,
                neumann_tag=BTAG_NONE,
                radiation_tag=BTAG_ALL,
                flux_type="upwind")
    
        from pytools.obj_array import join_fields
        fields = join_fields(vol_discr.zeros(queue),
                [vol_discr.zeros(queue) for i in range(vol_discr.dim)])
    
        # FIXME
    
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        # dt = op.estimate_rk4_timestep(vol_discr, fields=fields)
    
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        # FIXME: Should meshmode consider BTAG_PARTITION to be a boundary?
        #           Fails because: "found faces without boundary conditions"
        # op.check_bc_coverage(local_mesh)
    
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        from pytools.log import LogManager, \
                add_general_quantities, \
    
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                add_run_info, \
                IntervalTimer, EventCounter
    
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        log_filename = None
    
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        # NOTE: LogManager hangs when using a file on a shared directory.
    
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        # log_filename = 'grudge_log.dat'
    
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        logmgr = LogManager(log_filename, "w", comm)
        add_run_info(logmgr)
        add_general_quantities(logmgr)
    
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        log_quantities =\
    
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            {"rank_data_swap_timer": IntervalTimer("rank_data_swap_timer",
            "Time spent evaluating RankDataSwapAssign"),
            "rank_data_swap_counter": EventCounter("rank_data_swap_counter",
            "Number of RankDataSwapAssign instructions evaluated"),
            "exec_timer": IntervalTimer("exec_timer",
            "Total time spent executing instructions"),
            "insn_eval_timer": IntervalTimer("insn_eval_timer",
            "Time spend evaluating instructions"),
            "future_eval_timer": IntervalTimer("future_eval_timer",
            "Time spent evaluating futures"),
            "busy_wait_timer": IntervalTimer("busy_wait_timer",
            "Time wasted doing busy wait")}
    
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        for quantity in log_quantities.values():
            logmgr.add_quantity(quantity)
    
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        # print(sym.pretty(op.sym_operator()))
        bound_op = bind(vol_discr, op.sym_operator())
        # print(bound_op)
        # 1/0
    
        def rhs(t, w):
    
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            val, rhs.profile_data = bound_op(queue, profile_data=rhs.profile_data,
    
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                                             log_quantities=log_quantities,
    
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                                             t=t, w=w)
    
            return val
        rhs.profile_data = {}
    
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        dt_stepper = set_up_rk4("w", dt, fields, rhs)
    
    
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        final_t = 4
    
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        nsteps = int(final_t/dt)
    
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        print("rank=%d dt=%g nsteps=%d" % (i_local_rank, dt, nsteps))
    
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        # from grudge.shortcuts import make_visualizer
        # vis = make_visualizer(vol_discr, vis_order=order)
    
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        step = 0
    
        norm = bind(vol_discr, sym.norm(2, sym.var("u")))
    
        from time import time
        t_last_step = time()
    
    
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        logmgr.tick_before()
    
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        for event in dt_stepper.run(t_end=final_t):
            if isinstance(event, dt_stepper.StateComputed):
                assert event.component_id == "w"
    
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                step += 1
    
                print(step, event.t, norm(queue, u=event.state_component[0]),
                      time()-t_last_step)
    
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                # if step % 10 == 0:
                #     vis.write_vtk_file("rank%d-fld-%04d.vtu" % (i_local_rank, step),
                #                        [("u", event.state_component[0]),
                #                         ("v", event.state_component[1:])])
    
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                t_last_step = time()
    
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                logmgr.tick_after()
                logmgr.tick_before()
    
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        logmgr.tick_after()
    
    
        def print_profile_data(data):
            print("""execute() for rank %d:
    
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                \tInstruction Evaluation: %f%%
                \tFuture Evaluation: %f%%
                \tBusy Wait: %f%%
    
                \tTotal: %f seconds""" %
                (i_local_rank,
                 data['insn_eval_time'] / data['total_time'] * 100,
                 data['future_eval_time'] / data['total_time'] * 100,
                 data['busy_wait_time'] / data['total_time'] * 100,
                 data['total_time']))
    
        print_profile_data(rhs.profile_data)
    
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        logmgr.close()
    
        logger.debug("Rank %d exiting", i_local_rank)
    
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    # {{{ MPI test pytest entrypoint
    
    
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    @pytest.mark.mpi
    @pytest.mark.parametrize("num_ranks", [3])
    
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    def test_mpi(num_ranks):
    
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        pytest.importorskip("mpi4py")
    
        pytest.importorskip("pymetis")
    
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        from subprocess import check_call
        import sys
        newenv = os.environ.copy()
        newenv["RUN_WITHIN_MPI"] = "1"
    
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        newenv["TEST_MPI_COMMUNICATION"] = "1"
        check_call([
            "mpiexec", "-np", str(num_ranks), "-x", "RUN_WITHIN_MPI",
            sys.executable, __file__],
            env=newenv)
    
    
    
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    @pytest.mark.mpi
    @pytest.mark.parametrize("num_ranks", [3])
    
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    def test_simple_mpi():
    
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        pytest.importorskip("mpi4py")
    
        pytest.importorskip("pymetis")
    
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        from subprocess import check_call
        import sys
        newenv = os.environ.copy()
        newenv["RUN_WITHIN_MPI"] = "1"
    
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        newenv["TEST_SIMPLE_MPI_COMMUNICATION"] = "1"
    
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        num_ranks = 2
    
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        check_call([
            "mpiexec", "-np", str(num_ranks), "-x", "RUN_WITHIN_MPI",
            sys.executable, __file__],
            env=newenv)
    
    # }}}
    
    
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    if __name__ == "__main__":
    
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        if "RUN_WITHIN_MPI" in os.environ:
            if "TEST_MPI_COMMUNICATION" in os.environ:
                mpi_communication_entrypoint()
    
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            elif "TEST_SIMPLE_MPI_COMMUNICATION" in os.environ:
    
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                simple_mpi_communication_entrypoint()
    
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        else:
            import sys
            if len(sys.argv) > 1:
                exec(sys.argv[1])
            else:
                from py.test.cmdline import main
                main([__file__])
    
    # vim: fdm=marker