from .bezierquadratic import * from PDE2D.Coefficient import * def load_bunny(scale = 1, dirichlet = None, neumann = None, all_dirichlet = False, epsilon = 1e-5, conf : int = 1): points = np.array([[ 36.0, -28.6], [ 49.9, -25.2], [ 66.6, -38.7], [ 67.2, -47.3], [ 71.2, -52.8], [ 65.1, -55.7], [ 61.7, -56.0], [ 40.7, -57.0], [ 14.2, -56.8], [ 12.0, -54.3], [ 14.3, -50.4], [ 13.6, -44.4], [ 12.9, -41.0], [ 11.0, -40.0], [ 9.0, -38.9], [ 8.2, -29.0], [ 18.3, -20.9], [ 25.5, -9.2], [ 32.7, -5.2], [ 33.5, -13.0], [ 29.9, -20.5], [ 31.1, -27.6]]) / 38 + np.array([-1 ,0.9]) normals = np.array([[ -3.3, 9.3], [ 0.4, 10.0], [ 7.5, -0.0], [ 1.5, 4.6], [ 5.8, -1.4], [ -1.6, -6.1], [ 1.8, -6.2], [ 0.0, -6.2], [ -0.8, -5.0], [ -4.1, 3.9], [ -7.3, 0.5], [ -7.3, -0.8], [ -2.0, -1.0], [ -0.4, -3.0], [ -3.1, -4.5], [ -7.3, 5.0], [ -3.2, 8.1], [ -8.3, 1.9], [ 0.2, 1.0], [ 7.9, -3.8], [ 7.9, -2.8], [ 4.7, 5.1]]) if conf == 1: dirichlet_map = np.array([False, False, True, True, False, True, True, False, True, True, True, True, True, True, True, False, True, False, False, True, True, True]) elif conf == 2: dirichlet_map = np.array([True, True, False, True, True, True, False, False, True, True, True, True, True, True, False, False, True, False, False, False, True, True]) elif conf == 3: dirichlet_map = np.array([True, True, True, True, False, True, True, True, False, True, True, True, True, True, False, True, True, False, False, True, True, True]) elif conf == 4: dirichlet_map = np.array([False, False, True, False, False, True, False, False, True, True, False, True, True, True, False, False, True, False, False, False, True, True]) elif conf == 5: dirichlet_map = np.array([False, False, True, False, False, True, False, False, True, True, True, True, True, True, False, True, True, True, False, False, True, True]) if all_dirichlet: dirichlet_map = np.ones_like(dirichlet_map, dtype=np.bool_) points = Point2f(points.T) normals = dr.normalize(Point2f(normals.T)) return QuadraticBezierShape(points.numpy(), normals.numpy(), dirichlet = dirichlet, neumann = neumann, epsilon = epsilon, dirichlet_map = dirichlet_map, n_segment = 20, newton_steps = 5) def load_boundary_data(only_dirichlet = False, constant = False, zero = False): dirichlet_coeffs = [] neumann_coeffs = [] if zero: return [ConstantCoefficient("coeff", 0)], [ConstantCoefficient("coeff", 0)] if only_dirichlet: constant_values = [0, 2, -2] for c in constant_values: dirichlet_coeffs.append(ConstantCoefficient("coeff", c)) else: constant_values = [0, 2, 20, -2, -20] for c1 in constant_values: for c2 in constant_values: dirichlet_coeffs.append(ConstantCoefficient("coeff", c1)) neumann_coeffs.append(ConstantCoefficient("coeff", c2)) if constant: return dirichlet_coeffs, neumann_coeffs def ramp(points, parameters): direction = dr.normalize(parameters["direction"]) z = dr.dot(points, direction) return z * parameters["ramp"] + parameters["bias"] def freq(points, parameters): direction = dr.normalize(parameters["direction"]) z = dr.dot(points, direction) return parameters["power"] * dr.cos(2 * dr.pi * parameters["freq"] * z) + parameters["bias"] directions = [[0., 1.], [1, 0], [1., 1]] ramp_values = [1, 3, 10] for direction in directions: for ramp_v in ramp_values: for bias in [-ramp_v, 0, ramp_v]: p_ramp = {} dir = Point2f(direction) dr.make_opaque(dir) p_ramp["direction"] = dir p_ramp["ramp"] = dr.opaque(Float, ramp_v, shape = (1)) p_ramp["bias"] = dr.opaque(Float, bias, shape = (1)) dirichlet_coeffs.append(FunctionCoefficient("coeff", dict(p_ramp), ramp)) if not only_dirichlet: neumann_coeffs.append(FunctionCoefficient("coeff", dict(p_ramp), ramp)) freqs = [2, 4, 8] powers = [1, 10] for direction in directions: for f in freqs: for power in powers: for bias in [-power, 0, power]: p_freq = {} dir = Point2f(direction) dr.make_opaque(dir) p_freq["direction"] = dir p_freq["power"] = dr.opaque(Float, power, shape = (1)) p_freq["freq"] = dr.opaque(Float, f, shape = (1)) p_freq["bias"] = dr.opaque(Float, bias, shape = (1)) dirichlet_coeffs.append(FunctionCoefficient("coeff", dict(p_freq), freq)) if not only_dirichlet: neumann_coeffs.append(FunctionCoefficient("coeff", dict(p_freq), freq)) if len(neumann_coeffs) == 0: neumann_coeffs.append(ConstantCoefficient("coeff", 0)) return dirichlet_coeffs, neumann_coeffs