# Source code for sfepy.tests.test_refine_hanging

    """
    Test continuity along a boundary with hanging nodes due to a mesh refinement.
    """
    import os.path as op

    import numpy as nm
    import pytest

    from sfepy.base.base import assert_, Struct
    import sfepy.base.testing as tst

    def eval_fun(ts, coors, mode, **kwargs):
        val = nm.sin(nm.sum(coors**2, axis=1) * nm.pi)

        val = val.reshape((coors.shape[0], 1, 1))
        return val

    def _gen_lines_2_4(bbox, eps):
        from sfepy.discrete.probes import LineProbe

        LineProbe.__base__.cache = Struct(name='probe_shared_evaluate_cache')

        n_point = 100

        line0 = LineProbe([bbox[0, 0], -eps], [bbox[1, 0], -eps], n_point)
        line1 = LineProbe([bbox[0, 0], eps], [bbox[1, 0], eps], n_point)

        yield line0, line1

        line0 = LineProbe([-eps, bbox[0, 1]], [-eps, bbox[1, 1]], n_point)
        line1 = LineProbe([eps, bbox[0, 1]], [eps, bbox[1, 1]], n_point)

        yield line0, line1

    def _gen_grid_3_8(bbox, eps):
        from sfepy.discrete.probes import PointsProbe

        PointsProbe.__base__.cache = Struct(name='probe_shared_evaluate_cache')

        n_point = 100

        px = nm.linspace(bbox[0, 0], bbox[1, 0], n_point)
        py = nm.linspace(bbox[0, 1], bbox[1, 1], n_point)
        pz = nm.linspace(bbox[0, 2], bbox[1, 2], n_point)

        # Test face substitutions.
        pps = nm.meshgrid(px, py, -eps)
        points0 = nm.array([ii.ravel() for ii in pps]).T
        pps = nm.meshgrid(px, py, eps)
        points1 = nm.array([ii.ravel() for ii in pps]).T

        grid0 = PointsProbe(points0)
        grid1 = PointsProbe(points1)

        yield grid0, grid1

        pps = nm.meshgrid(px, -eps, pz)
        points0 = nm.array([ii.ravel() for ii in pps]).T
        pps = nm.meshgrid(px, eps, pz)
        points1 = nm.array([ii.ravel() for ii in pps]).T

        grid0 = PointsProbe(points0)
        grid1 = PointsProbe(points1)

        yield grid0, grid1

        pps = nm.meshgrid(-eps, py, pz)
        points0 = nm.array([ii.ravel() for ii in pps]).T
        pps = nm.meshgrid(eps, py, pz)
        points1 = nm.array([ii.ravel() for ii in pps]).T

        grid0 = PointsProbe(points0)
        grid1 = PointsProbe(points1)

        yield grid0, grid1

        # Test edge substitutions.
        pps = nm.meshgrid(px, -eps, -eps)
        points0 = nm.array([ii.ravel() for ii in pps]).T
        pps = nm.meshgrid(px, eps, eps)
        points1 = nm.array([ii.ravel() for ii in pps]).T

        grid0 = PointsProbe(points0)
        grid1 = PointsProbe(points1)

        yield grid0, grid1

        pps = nm.meshgrid(-eps, py, -eps)
        points0 = nm.array([ii.ravel() for ii in pps]).T
        pps = nm.meshgrid(eps, py, eps)
        points1 = nm.array([ii.ravel() for ii in pps]).T

        grid0 = PointsProbe(points0)
        grid1 = PointsProbe(points1)

        yield grid0, grid1

        pps = nm.meshgrid(-eps, -eps, pz)
        points0 = nm.array([ii.ravel() for ii in pps]).T
        pps = nm.meshgrid(eps, eps, pz)
        points1 = nm.array([ii.ravel() for ii in pps]).T

        grid0 = PointsProbe(points0)
        grid1 = PointsProbe(points1)

        yield grid0, grid1

    def _build_filenames(output_dir, key, order, ip):
        return [op.join(output_dir,
                       'test_refine_hanging_lin_%s_%d_%d.vtk' % (key, order, ip)),
                op.join(output_dir,
                        'test_refine_hanging_%s_%d_%d.vtk' % (key, order, ip))]

    @pytest.fixture(scope='module')
    def gels():
        from sfepy.discrete.fem.geometry_element import GeometryElement

        gels = {}
        for key in ['2_4', '3_8']:
            gel = GeometryElement(key)
            gel.create_surface_facet()
            gels[key] = gel

        return gels

    @pytest.mark.slow
    def test_continuity(gels, output_dir):
        from sfepy.base.base import Struct
        from sfepy.mesh.mesh_generators import gen_block_mesh
        from sfepy.discrete import FieldVariable
        from sfepy.discrete.fem import FEDomain, Field
        from sfepy.discrete.projections import make_l2_projection_data
        import sfepy.discrete.fem.refine_hanging as rh

        dims = [1.5, 2.0, 1.3]
        shape = [3, 3, 3]
        centre = [0.0, 0.0, 0.0]
        probe_gens = {'2_4' : _gen_lines_2_4, '3_8' : _gen_grid_3_8}

        ok = True
        for key, gel in gels.items():
            probe_gen = probe_gens[key]

            perms = gel.get_conn_permutations()

            dim = gel.dim
            for io, order in enumerate(range(1, 4)):
                mesh00 = gen_block_mesh(dims[:dim], shape[:dim], centre[:dim],
                                        name='block')

                for ip, perm in enumerate(perms):
                    tst.report('geometry: %s, order: %d, permutation: %d: %s'
                               % (key, order, ip, perm))
                    mesh0 = mesh00.copy()
                    conn = mesh0.cmesh.get_conn(dim, 0).indices
                    conn = conn.reshape((mesh0.n_el, -1))
                    conn[-1, :] = conn[-1, perm]

                    domain0 = FEDomain('d', mesh0)

                    refine = nm.zeros(mesh0.n_el, dtype=nm.uint8)
                    refine[:-1] = 1

                    subs = None
                    domain, subs = rh.refine(domain0, refine, subs=subs)

                    omega = domain.create_region('Omega', 'all')
                    field = Field.from_args('fu', nm.float64, 1, omega,
                                            approx_order=order)

                    field.substitute_dofs(subs)

                    uvar = FieldVariable('u', 'parameter', field,
                                         primary_var_name='(set-to-None)')

                    field.restore_dofs(store=True)
                    field.substitute_dofs(subs=None, restore=True)

                    make_l2_projection_data(uvar, eval_fun)

                    field.restore_dofs()

                    bbox = domain.get_mesh_bounding_box()
                    eps = 1e-7

                    save = False
                    for ii, (probe0, probe1) in enumerate(probe_gen(bbox, eps)):
                        probe0.set_options(close_limit=0.0)
                        probe1.set_options(close_limit=0.0)

                        pars0, vals0 = probe0(uvar)
                        pars1, vals1 = probe1(uvar)

                        assert_(nm.allclose(pars0, pars1, atol=1e-14, rtol=0.0))

                        _ok = nm.allclose(vals0, vals1, atol=20.0 * eps,
                                          rtol=0.0)
                        if not _ok:
                            save = True
                            tst.report('probe %d failed! (max. error: %e)'
                                       % (ii, nm.abs(vals0 - vals1).max()))

                        ok = ok and _ok

                    if (ip == 0) or save:
                        out = uvar.create_output()
                        filenames = _build_filenames(output_dir,
                                                     key, order, ip)

                        domain.mesh.write(filenames[0], out=out)

                        linearization = Struct(kind='adaptive',
                                               min_level=0,
                                               max_level=4,
                                               eps=1e-2)

                        out = uvar.create_output(linearization=linearization)
                        val = out['u']
                        mesh = val.get('mesh', domain.mesh)
                        mesh.write(filenames[1], out=out)

        assert_(ok)

    def test_preserve_coarse_entities(output_dir):
        from sfepy.mesh.mesh_generators import gen_block_mesh
        from sfepy.discrete.fem import FEDomain
        import sfepy.discrete.fem.refine_hanging as rh

        dims = [1.5, 2.0]
        shape = [11, 11]
        centre = [0.0, 0.0]

        mesh0 = gen_block_mesh(dims, shape, centre, name='block')
        domain0 = FEDomain('d', mesh0)
        reg = domain0.create_region('surface', 'vertices of surface', 'facet',
                                    add_to_regions=False)
        cmesh0 = mesh0.cmesh

        cmesh0.vertex_groups[5::11] = 2
        cmesh0.vertex_groups[reg.vertices] = 1
        cmesh0.cell_groups[0] = 1
        cmesh0.cell_groups[50:60] = 2
        mesh0.write(op.join(output_dir,
                            'test_refine_hanging_ids0.vtk'), io='auto')

        refine = nm.zeros(mesh0.n_el, dtype=nm.uint8)
        refine[0:10] = 1
        refine[5::10] = 1

        domain, _, sub_cells = rh.refine(domain0, refine, subs=None,
                                         ret_sub_cells=True)
        domain.mesh.write(op.join(output_dir,
                                  'test_refine_hanging_ids1.vtk'), io='auto')
        cmesh1 = domain.mesh.cmesh

        ii = nm.where(refine == 0)[0]
        conn0 = mesh0.get_conn('2_4')
        v0 = conn0[ii]

        conn1 = domain.mesh.get_conn('2_4')
        v1 = conn1[ii]

        ok = (v0 == v1).all()
        tst.report('coarse cells positions preserved:', ok)

        cgs0 = cmesh0.cell_groups[ii]
        cgs1 = cmesh1.cell_groups[ii]

        _ok = (cgs0 == cgs1).all()
        tst.report('coarse cells cell groups preserved:', _ok)
        ok = ok and _ok

        vgs0 = cmesh0.vertex_groups[v0]
        vgs1 = cmesh1.vertex_groups[v1]

        _ok = (vgs0 == vgs1).all()
        tst.report('coarse cells vertex groups preserved:', _ok)
        ok = ok and _ok

        ii = nm.where(refine == 1)[0]
        cgs0 = cmesh0.cell_groups[ii]
        cgs1 = cmesh1.cell_groups[sub_cells[:, 1:]]

        _ok = (cgs0[:, None] == cgs1).all()
        tst.report('refined cells cell groups preserved:', _ok)
        ok = ok and _ok

        assert_(ok)