diff --git a/FIAT/gen_quad_data.py b/FIAT/gen_quad_data.py new file mode 100644 index 00000000..c403fa0c --- /dev/null +++ b/FIAT/gen_quad_data.py @@ -0,0 +1,5823 @@ +# GENERATED, DO NOT EDIT +# Slobodkins-Tausch quadratures +# https://doi.org/10.1016/j.camwa.2023.06.001 +import numpy + +points = "points" +weights = "weights" + +tetrahedron_table = { + 16: { + points: [ + [1.4671830075200176e-02, 1.3388201316592577e-02, 7.2989709061924372e-03], + [1.0187412255249835e-01, 8.4202636301215925e-02, 1.7258887912772580e-02], + [9.9867758308143470e-02, 8.5210968239100598e-02, 6.6292283744394345e-02], + [8.8317316567763079e-02, 2.7323663622222518e-02, 1.1272821398661804e-02], + [1.8713294677825446e-01, 9.4088494843655099e-02, 8.9002831972985110e-03], + [1.2855927424378089e-01, 6.7492311233071756e-02, 6.0418268990586457e-02], + [1.9435956448067412e-01, 1.8393027282546867e-01, 1.1642624514268386e-02], + [2.0005347738247331e-01, 1.8877575625735551e-01, 8.6789219678324037e-02], + 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simplicial quadrature with very few quadrature nodes, available for low-to-moderate orders. @@ -347,10 +353,14 @@ def xg_scheme(ref_el, degree): http://dx.doi.org/10.1016/j.camwa.2009.10.027 """ dim = ref_el.get_spatial_dimension() + backend = "xg" if dim == 2: from FIAT.xg_quad_data import triangle_table as table - elif dim == 3: + elif dim == 3 and degree <= 15: from FIAT.xg_quad_data import tetrahedron_table as table + elif dim == 3: + from FIAT.gen_quad_data import tetrahedron_table as table + backend = "gen-quad" else: raise ValueError(f"Xiao-Gambutas rule not availale for {dim} dimensions.") try: @@ -358,10 +368,11 @@ def xg_scheme(ref_el, degree): except KeyError: raise ValueError(f"Xiao-Gambutas rule not availale for degree {degree}.") - pts_ref = order_table["points"] - wts_ref = order_table["weights"] - Ref1 = symmetric_simplex(dim) - pts, wts = map_quadrature(pts_ref, wts_ref, Ref1, ref_el) + ref_pts = order_table["points"] + ref_wts = order_table["weights"] + make_ref_el = {"xg": symmetric_simplex, "gen-quad": gen_quad_simplex} + Ref_el = make_ref_el[backend](dim) + pts, wts = map_quadrature(ref_pts, ref_wts, Ref_el, ref_el) return QuadratureRule(ref_el, pts, wts) diff --git a/test/unit/test_quadrature.py b/test/unit/test_quadrature.py index 84cee980..ffa016a8 100644 --- a/test/unit/test_quadrature.py +++ b/test/unit/test_quadrature.py @@ -119,7 +119,7 @@ def test_create_quadrature_triangle(triangle, degree, scheme): assert numpy.allclose(q.integrate(lambda x: sum(x)**degree), 1/(degree + 2)) -@pytest.mark.parametrize("degree", range(16)) +@pytest.mark.parametrize("degree", range(23)) def test_create_quadrature_tetrahedron(tetrahedron, degree, scheme): q = FIAT.create_quadrature(tetrahedron, degree, scheme) assert numpy.allclose(q.integrate(lambda x: sum(x)**degree), 1/(2*degree + 6))