deeplearning/modulus/modulus-sym-v110/_modules/modulus/sym/geometry/primitives_1d.html

Sym v1.1.0

Source code for modulus.sym.geometry.primitives_1d

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from sympy import Symbol, Abs
import numpy as np
from .geometry import Geometry, csg_curve_naming
from .curve import SympyCurve
from .parameterization import Parameterization, Parameter, Bounds
from .helper import _sympy_sdf_to_sdf


[docs]class Point1D(Geometry): """ 1D Point along x-axis Parameters ---------- point : int or float x coordinate of the point parameterization : Parameterization Parameterization of geometry. """ def __init__(self, point, parameterization=Parameterization()): # make sympy symbols to use x = Symbol("x") # curves for each side curve_parameterization = Parameterization({Symbol(csg_curve_naming(0)): (0, 1)}) curve_parameterization = Parameterization.combine( curve_parameterization, parameterization ) pt_1 = SympyCurve( functions={"x": point, "normal_x": 1.0}, area=1.0, parameterization=curve_parameterization, ) curves = [pt_1] # calculate SDF sdf = x - point # calculate bounds bounds = Bounds( {Parameter("x"): (point, point)}, parameterization=parameterization ) # initialize super().__init__( curves, _sympy_sdf_to_sdf(sdf), dims=1, bounds=bounds, parameterization=parameterization, )
[docs]class Line1D(Geometry): """ 1D Line along x-axis Parameters ---------- point_1 : int or float lower bound point of line point_2 : int or float upper bound point of line parameterization : Parameterization Parameterization of geometry. """ def __init__(self, point_1, point_2, parameterization=Parameterization()): # make sympy symbols to use x = Symbol("x") # curves for each side curve_parameterization = Parameterization({Symbol(csg_curve_naming(0)): (0, 1)}) curve_parameterization = Parameterization.combine( curve_parameterization, parameterization ) pt1 = SympyCurve( functions={"x": point_1, "normal_x": -1}, area=1.0, parameterization=curve_parameterization, ) pt2 = SympyCurve( functions={"x": point_2, "normal_x": 1}, area=1.0, parameterization=curve_parameterization, ) curves = [pt1, pt2] # calculate SDF dist = point_2 - point_1 center_x = point_1 + dist / 2 sdf = dist / 2 - Abs(x - center_x) # calculate bounds bounds = Bounds( {Parameter("x"): (point_1, point_2)}, parameterization=parameterization ) # initialize super().__init__( curves, _sympy_sdf_to_sdf(sdf), dims=1, bounds=bounds, parameterization=parameterization, )
© Copyright 2023, NVIDIA Modulus Team. Last updated on Oct 17, 2023.