# Parametric Geometric Objects
# ============================

# Creating parametric objects from Parametric Objects.
import math

import pyvista as pv

# This example demonstrates how to plot parametric objects using pyvista

# Supertoroid
# -----------

supertoroid = pv.ParametricSuperToroid(n1=0.5)
supertoroid.plot(color='lightblue', smooth_shading=True)

# Parametric Ellipsoid
# --------------------

# Ellipsoid with a long x axis
ellipsoid = pv.ParametricEllipsoid(10, 5, 5)
ellipsoid.plot(color='lightblue')

# Partial Parametric Ellipsoid
# ----------------------------

# cool plotting direction
cpos = pv.CameraPosition(
    position=(21.9930, 21.1810, -30.3780),
    focal_point=(-1.1640, -1.3098, -0.1061),
    viewup=(0.8498, -0.2515, 0.4631),
)


# half ellipsoid
part_ellipsoid = pv.ParametricEllipsoid(10, 5, 5, max_v=math.pi / 2)
part_ellipsoid.plot(color='lightblue', smooth_shading=True, cpos=cpos)

# Pseudosphere
# ------------

pseudosphere = pv.ParametricPseudosphere()
pseudosphere.plot(color='lightblue', smooth_shading=True)

# Bohemian Dome
# -------------

bohemiandome = pv.ParametricBohemianDome()
bohemiandome.plot(color='lightblue')

# Bour
# ----

bour = pv.ParametricBour()
bour.plot(color='lightblue')

# Boy’s Surface
# -------------

boy = pv.ParametricBoy()
boy.plot(color='lightblue')

# Catalan Minimal
# ---------------

catalanminimal = pv.ParametricCatalanMinimal()
catalanminimal.plot(color='lightblue')

# Conic Spiral
# ------------

conicspiral = pv.ParametricConicSpiral()
conicspiral.plot(color='lightblue')

# Cross Cap
# ---------

crosscap = pv.ParametricCrossCap()
crosscap.plot(color='lightblue')

# Dini
# ----

dini = pv.ParametricDini()
dini.plot(color='lightblue')

# Enneper
# -------

enneper = pv.ParametricEnneper()
enneper.plot(cpos='yz')

# Figure-8 Klein
# --------------

figure8klein = pv.ParametricFigure8Klein()
figure8klein.plot()

# Henneberg
# ---------

henneberg = pv.ParametricHenneberg()
henneberg.plot(color='lightblue')

# Klein
# -----

klein = pv.ParametricKlein()
klein.plot(color='lightblue')

# Kuen
# ----

kuen = pv.ParametricKuen()
kuen.plot(color='lightblue')

# Mobius
# ------

mobius = pv.ParametricMobius()
mobius.plot(color='lightblue')

# Plucker Conoid
# --------------

pluckerconoid = pv.ParametricPluckerConoid()
pluckerconoid.plot(color='lightblue')

# Random Hills
# ------------

randomhills = pv.ParametricRandomHills()
randomhills.plot(color='lightblue')

# Roman
# -----

roman = pv.ParametricRoman()
roman.plot(color='lightblue')

# Super Ellipsoid
# ---------------

superellipsoid = pv.ParametricSuperEllipsoid(n1=0.1, n2=2)
superellipsoid.plot(color='lightblue')

# Torus
# -----

torus = pv.ParametricTorus()
torus.plot(color='lightblue')

# Circular Arc
# ------------

pointa = [-1, 0, 0]
pointb = [0, 1, 0]
center = [0, 0, 0]
resolution = 100

arc = pv.CircularArc(pointa=pointa, pointb=pointb, center=center, resolution=resolution)

pl = pv.Plotter()
pl.add_mesh(arc, color='k', line_width=4)
pl.show_bounds()
pl.view_xy()
pl.show()

# Extruded Half Arc
# -----------------

pointa = [-1, 0, 0]
pointb = [1, 0, 0]
center = [0, 0, 0]
resolution = 100

arc = pv.CircularArc(pointa=pointa, pointb=pointb, center=center, resolution=resolution)
poly = arc.extrude([0, 0, 1], capping=False)
poly.plot(color='lightblue', cpos='iso', show_edges=True)

# ----------------------------------------------------------------------
# Generated by sphinx-examples-as-code https://github.com/pyvista/sphinx-examples-as-code