Using SymPy with BricsCAD

Its_Alive
Its_Alive
in Programming and customization

SymPy is a Python library for symbolic mathematics.
A useless, but cool example

import sympy as sp
from pyrx import Ap, Db, Ge


@Ap.Command()
def drawknot():
    db = Db.curDb()

    t = sp.Symbol("t")
    R = 40.0  # Major radius
    r = 12.0  # Minor radius
    p = 3  # Wraps around central hole
    q = 7  # Wraps around tube
    pipe_radius = 3.0  # Radius of the solid pipe tube

    # 3D Parametric Equations for the Torus Knot
    x_expr = (R + r * sp.cos(q * t)) * sp.cos(p * t)
    y_expr = (R + r * sp.cos(q * t)) * sp.sin(p * t)
    z_expr = r * sp.sin(q * t)

    # Lambdify the symbolic math for rapid point plotting
    x_func = sp.lambdify(t, x_expr, "math")
    y_func = sp.lambdify(t, y_expr, "math")
    z_func = sp.lambdify(t, z_expr, "math")

    # Populate 3D Point Array
    points = Ge.Point3dArray()
    steps = 400
    max_t = 2 * sp.pi.evalf()

    for i in range(steps):
        t_val = (i / steps) * float(max_t)
        x = x_func(t_val)
        y = y_func(t_val)
        z = z_func(t_val)
        points.append(Ge.Point3d(x, y, z))

    # Create Polyline
    raw_polyline = Db.Polyline3d(Db.Poly3dType.k3dSimplePoly, points, True)

    # Create a Circle Profile
    normal_vec = points[-1] - points[0]
    profile_circle = Db.Circle(points[0], normal_vec, pipe_radius)

    # Perform the 3D Sweep Operation ---
    solid_pipe = Db.Solid3d()
    sweep_opts = Db.SweepOptions()
    sweep_opts.setAlign(Db.SweepAlignOption.kAlignSweepEntityToPath)
    sweep_opts.setCheckIntersections(False)
    solid_pipe.createSweptSolid(profile_circle, raw_polyline, sweep_opts)
    db.addToModelspace(solid_pipe)
knot.png