# -*- coding: utf-8 -*-
import pytest
import numpy as np
from unittest import TestCase
from pyleecan.Classes.CellMat import CellMat
from pyleecan.Classes.MeshSolution import MeshSolution
from pyleecan.Classes.NodeMat import NodeMat
from pyleecan.Classes.MeshMat import MeshMat
from pyleecan.Classes.ScalarProductL2 import ScalarProductL2
from pyleecan.Classes.Interpolation import Interpolation
from pyleecan.Classes.RefSegmentP1 import RefSegmentP1
from pyleecan.Classes.FPGNSeg import FPGNSeg
[docs]@pytest.mark.MeshSol
class unittest_scalar_product(TestCase):
""" Tests for scalar_product methods"""
[docs] def test_line_line(self):
DELTA = 1e-10
mesh = MeshMat()
mesh.cell["line"] = CellMat(nb_node_per_cell=2)
mesh.node = NodeMat()
mesh.node.add_node(np.array([-1, 0]))
mesh.node.add_node(np.array([1, 0]))
mesh.node.add_node(np.array([-1, 1]))
mesh.node.add_node(np.array([2, 3]))
mesh.node.add_node(np.array([3, 3]))
mesh.add_cell(np.array([0, 1]), "line")
mesh.add_cell(np.array([0, 2]), "line")
mesh.add_cell(np.array([1, 2]), "line")
c_line = mesh.cell["line"]
c_line.interpolation = Interpolation()
c_line.interpolation.ref_cell = RefSegmentP1()
c_line.interpolation.scalar_product = ScalarProductL2()
c_line.interpolation.gauss_point = FPGNSeg(nb_gauss_point=4)
meshsol = MeshSolution()
meshsol.mesh = [mesh]
# Ref cell line
vert = mesh.get_vertice(0)["line"]
sol = [2 / 3, 1 / 3]
[
gauss_points,
weights,
nb_gauss_points,
] = c_line.interpolation.gauss_point.get_gauss_points()
[func_ref, nb_func_per_cell] = c_line.interpolation.ref_cell.shape_function(
gauss_points, nb_gauss_points
)
jacob = np.zeros((nb_gauss_points, 2, 2))
detJ = np.zeros((nb_gauss_points))
for ig in range(nb_gauss_points):
[jacob[ig, :], detJ[ig]] = c_line.interpolation.ref_cell.jacobian(
gauss_points[ig, :], vert
)
# scal_mat_ij = < w_i , w_j >
scal_mat = c_line.interpolation.scalar_product.scalar_product(
func_ref, func_ref, detJ, weights, nb_gauss_points
)
testA = np.sum(abs(scal_mat[0, :] - sol))
msg = (
"Wrong result: returned " + str(scal_mat[0, :]) + ", expected: " + str(sol)
)
self.assertAlmostEqual(testA, 0, msg=msg, delta=DELTA)
# Vertical cell line
vert = mesh.get_vertice(1)["line"]
sol = [1 / 3, 1 / 6]
[
gauss_points,
weights,
nb_gauss_points,
] = c_line.interpolation.gauss_point.get_gauss_points()
[func_ref, nb_func_per_cell] = c_line.interpolation.ref_cell.shape_function(
gauss_points, nb_gauss_points
)
jacob = np.zeros((nb_gauss_points, 2, 2))
detJ = np.zeros((nb_gauss_points))
for ig in range(nb_gauss_points):
[jacob[ig, :], detJ[ig]] = c_line.interpolation.ref_cell.jacobian(
gauss_points[ig, :], vert
)
# scal_mat_ij = < w_i , w_j >
scal_mat = c_line.interpolation.scalar_product.scalar_product(
func_ref, func_ref, detJ, weights, nb_gauss_points
)
testA = np.sum(abs(scal_mat[0, :] - sol))
msg = (
"Wrong result: returned " + str(scal_mat[0, :]) + ", expected: " + str(sol)
)
self.assertAlmostEqual(testA, 0, msg=msg, delta=DELTA)
