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refactor to OOP

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Daniel Mevec 2023-02-11 13:04:58 +01:00
parent afcce3b98b
commit 7b8a2dae26
1 changed files with 269 additions and 237 deletions
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torus.py
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@ -1,143 +1,23 @@
import numpy as np
from numpy.polynomial.polynomial import Polynomial
import matplotlib.pyplot as plt
import matplotlib.colors as colors
from matplotlib.widgets import Slider, Button
# The parametrized function to be plotted
def mantle(rfrac, n=1000):
theta = np.linspace(-np.pi, np.pi, n)
rmaj = 1
rmin = rmaj*rfrac
u = theta * rmin
func = (np.pi)*(rmaj - rmin*np.cos(theta))
data = np.array([func, u])
data2 = np.array([-func, u[::-1]])
data = np.append(data, data2, axis=1)
data = np.append(data, data[:, 0:1], axis=1)
return data
def uproot(arr):
mask = np.logical_and(arr > 0, np.isreal(arr))
masked = arr[mask]
return np.real(sorted(masked))
def crossection(rfrac, n=1000):
theta = np.linspace(0, 2*np.pi, n)
rmaj = 1
rmin = rmaj * rfrac
x = rmaj + rmin*np.cos(theta)
y = rmin*np.sin(theta)
data = np.array([x, y])
data2 = np.array([-x, y])
data = np.append(data, [[np.nan,], [np.nan,]], axis=1)
data = np.append(data, data2, axis=1)
return data
class TorusWorld:
def sunpath_side(rfrac, n=1000):
theta = np.linspace(0, 2*np.pi, n)
rmaj = 1
x = rmaj + rmaj*np.cos(theta)
y = rmaj*np.sin(theta)
return np.array([x, y])
def sunpath_top(rfrac, n=1000):
theta = np.linspace(0, np.pi, n)
rmaj = 1
x = rmaj + rmaj*np.cos(theta)
y = np.zeros_like(theta)
return np.array([x, y])
def sun_side(rfrac, sunpos):
rmaj = 1
x = rmaj - rmaj*np.cos(sunpos)
y = rmaj*np.sin(sunpos)
return [x, y]
def sun_top(rfrac, sunpos):
rmaj = 1
x = rmaj - rmaj*np.cos(sunpos)
y = 0
return [x, y]
def sun_map(rfrac, sunpos):
rmaj = 1
rmin = rmaj*rfrac
y = sunpos * rmin
x = 0
return [x, y]
def topview(rfrac, n=1000):
theta = np.linspace(0, np.pi, n)
rmaj = 1
rmin = rmaj*rfrac
x1 = (rmaj + rmin) * np.cos(theta)
y1 = -1 * (rmaj + rmin) * np.sin(theta)
data1 = np.array([x1, y1])
x2 = (rmaj - rmin) * np.cos(theta)
y2 = -1 * (rmaj - rmin) * np.sin(theta)
data2 = np.array([x2, y2])
data = np.append(data1, [[np.nan,], [np.nan,]], axis=1)
data = np.append(data, data2, axis=1)
return data
def contour_map(rfrac, sunpos, n=100):
rmaj = 1
rmin = rmaj*rfrac
phi = np.linspace(-np.pi, np.pi, n)
theta = np.linspace(-np.pi, np.pi, int(n*rfrac))
y = np.array([[w]*n for w in rmin*theta])
func = (np.pi)*(rmaj - rmin*np.cos(theta))
x = np.array([np.linspace(-f, f, n) for f in func])
# x, y = np.meshgrid(np.linspace(-func[0], func[0], n), rmin*theta)
sun = [rmaj - rmaj*np.cos(sunpos), 0, rmaj*np.sin(sunpos)]
def raytraced(ph, th):
def r(ph, th):
rx = (rmaj - rmin*np.cos(th)) * np.cos(ph)
ry = (rmaj - rmin*np.cos(th)) * np.sin(ph)
rz = rmin * np.sin(th)
return rx, ry, rz
def n(ph, th):
rx, ry, rz = r(ph, th)
cx = rmaj * np.cos(ph)
cy = rmaj * np.sin(ph)
cz = 0
retx, rety, retz = rx-cx, ry-cy, rz-cz
return -1*np.array([retx, rety, retz])/np.linalg.norm([retx, rety, retz])
def b(ph, th):
rx, ry, rz = r(ph, th)
sx, sy, sz = sun
retx, rety, retz = rx-sx, ry-sy, rz-sz
return np.array([retx, rety, retz])/np.linalg.norm([retx, rety, retz])
o = sun
d = b(ph, th)
s = r(ph, th)
pol = Polynomial(coef(rmaj, rmin, d, o))
roots = uproot(pol.roots())
if len(roots) == 0:
return 0
poi = o + roots[0]*d
return (1 if np.allclose(s, poi) else -1)
z = np.array([[raytraced(ph, th) for ph in phi] for th in theta])
# z = np.array([[np.dot(b(ph, th), n(ph, th)) for ph in phi] for th in theta])
return x, y, z
def coef(rmaj, rmin, d, o):
@staticmethod
def coef(rmaj, rmin, d, o):
"""
curtesy of: http://blog.marcinchwedczuk.pl/ray-tracing-torus
"""
k1 = np.inner(d, d)
k2 = np.inner(o, d)
k3 = np.inner(o, o) - (rmin**2 + rmaj**2)
@ -149,124 +29,276 @@ def coef(rmaj, rmin, d, o):
c0 = k3**2 - 4*(rmaj**2)*(rmin**2 - o[2]**2)
return [c0, c1, c2, c3, c4]
def __init__(self, rfrac):
self.r_maj = 1
self.r_min = rfrac
self.sun = np.array([self.r_maj, 0, self.r_maj])
self.sun_r = np.array([np.pi/2, 0])
self.surface_map = None
def uproot(arr):
mask = np.logical_and(arr > 0, np.isreal(arr))
masked = arr[mask]
return np.real(sorted(masked))
def update(self, rfrac=None):
rfrac = rfrac if rfrac else self.r_min
self.r_min = rfrac
self.put_sun(*self.sun_r)
def put_sun(self, phi, theta):
self.sun_r = np.array([phi, theta])
self.sun = np.array([
(self.r_maj - self.r_maj*np.cos(phi))*np.cos(theta),
(self.r_maj - self.r_maj*np.cos(phi))*np.sin(theta),
self.r_maj * np.sin(phi),
])
def surface_point(self, phi, theta):
rx = (self.r_maj - self.r_min*np.cos(phi)) * np.cos(theta)
ry = (self.r_maj - self.r_min*np.cos(phi)) * np.sin(theta)
rz = self.r_min * np.sin(phi)
return rx, ry, rz
def normal_vector(self, phi, theta):
rx, ry, rz = self.surface_point(phi, theta)
cx = self.r_maj * np.cos(theta)
cy = self.r_maj * np.sin(theta)
cz = 0
retx, rety, retz = rx-cx, ry-cy, rz-cz
return np.array([retx, rety, retz])/np.linalg.norm([retx, rety, retz])
def ray_vector(self, phi, theta):
rx, ry, rz = self.surface_point(phi, theta)
sx, sy, sz = self.sun
retx, rety, retz = rx-sx, ry-sy, rz-sz
return np.array([retx, rety, retz])/np.linalg.norm([retx, rety, retz])
def is_illuminated(self, phi, theta):
ray = self.ray_vector(phi, theta)
pol = Polynomial(self.coef(self.r_maj, self.r_min, ray, self.sun))
roots = uproot(pol.roots())
if len(roots) == 0:
return False
return np.allclose(self.surface_point(phi, theta), self.sun+roots[0]*ray)
def illumination(self, phi, theta):
# return np.dot(self.ray_vector(phi, theta), -self.normal_vector(phi, theta))
return np.dot(self.ray_vector(phi, theta), -self.normal_vector(phi, theta)) * self.is_illuminated(phi, theta)
r_fraction = 0.5
sun_pos = np.pi/2
class NoInamge():
def __init__(self, rfrac_init=0.5, sun_init=np.pi/2):
fig, (ax_side, ax_top, ax_map) = plt.subplots(3, 1, gridspec_kw={'height_ratios': [2, 2, 1]})
self.fig = fig
self.ax = dict(
map=ax_map,
top=ax_top,
side=ax_side,
)
self.lines = dict()
# Create the figure and the line that we will manipulate
fig, (ax_side, ax_top, ax_map) = plt.subplots(3, 1, gridspec_kw={'height_ratios': [1, 1, 1]})
self.sun_kwargs = dict(marker='o', color='r', markersize=10,)
self.contour_kwargs = dict(cmap=plt.colormaps['hot'], vmin=0, vmax=1)
self.levels = 25 # [-1, 0, 1]
circles_top, = ax_top.plot(*topview(r_fraction), 'k')
path_top, = ax_top.plot(*sunpath_top(r_fraction), 'k:')
pos_top, = ax_top.plot(*sun_top(r_fraction, sun_pos), marker='o', color='r', markersize=10,)
ax_top.set_xlim(-2.05, 2.05)
ax_top.set_ylim(-2.05, None)
ax_top.set_aspect('equal')
self.torus = TorusWorld(rfrac_init)
self.init_top_view()
self.init_side_view()
self.init_map_view()
ax_top.axis('off')
def init_map_view(self):
self.lines['map_border'], = self.ax['map'].plot(*self._mantle_map(), 'k')
self.lines['pos_map'], = self.ax['map'].plot(*self._sunpos_map(), marker='o', color='r', markersize=10,)
self.lines['dawnline_map'] = [
self.ax['map'].contourf(*self._contour_map(), self.levels, **self.contour_kwargs),
]
self.ax['map'].set_aspect('equal')
self.ax['map'].set_ylabel('Longitude')
self.ax['map'].set_xlabel('Lattitude')
self.ax['map'].axis('off')
circles_side, = ax_side.plot(*crossection(r_fraction), 'k')
path_side, = ax_side.plot(*sunpath_side(r_fraction), 'k:')
pos_side, = ax_side.plot(*sun_side(r_fraction, sun_pos), marker='o', color='r', markersize=10,)
ax_side.set_xlim(-2.05, 2.05)
ax_side.set_aspect('equal')
# ax_side.set_ylim(-r_min, None)
ax_side.axis('off')
def init_top_view(self):
self.lines['circles_top'], = self.ax['top'].plot(*self._top_section(), 'k')
self.lines['path_top'], = self.ax['top'].plot(*self._sunpath_top(), 'k:')
self.lines['pos_top'], = self.ax['top'].plot(*self._sunpos_top(), **self.sun_kwargs)
self.ax['top'].set_xlim(-2.05, 2.05)
self.ax['top'].set_ylim(-2.05, None)
self.ax['top'].set_aspect('equal')
map_border, = ax_map.plot(*mantle(r_fraction), 'k')
pos_map, = ax_map.plot(*sun_map(r_fraction, sun_pos), marker='o', color='r', markersize=10,)
dawnline_map = [ax_map.contourf(*contour_map(r_fraction, sun_pos), [-1, 0, 1], cmap='YlOrBr_r')]
ax_map.set_aspect('equal')
ax_map.set_ylabel('Longitude')
ax_map.set_xlabel('Lattitude')
ax_map.axis('off')
# cbar = fig.colorbar(dawnline_map[0])
self.ax['top'].axis('off')
# adjust the main plot to make room for the sliders
fig.subplots_adjust(left=0.25, bottom=0.25)
def init_side_view(self):
self.lines['circles_side'], = self.ax['side'].plot(*self._crossection(), 'k')
self.lines['path_side'], = self.ax['side'].plot(*self._sunpath_side(), 'k:')
self.lines['pos_side'], = self.ax['side'].plot(*self._sunpos_side(), **self.sun_kwargs)
self.ax['side'].set_xlim(-2.05, 2.05)
self.ax['side'].set_aspect('equal')
# self.ax['side'].set_ylim(-self.torus.r_min, None)
self.ax['side'].axis('off')
# Make a horizontal slider to control the frequency.
axsun = fig.add_axes([0.25, 0.1, 0.65, 0.03])
slider_sun = Slider(
ax=axsun,
label='Angle of Sun',
valmin=-np.pi,
valmax=np.pi,
valinit=sun_pos,
)
def _mantle_map(self, n=1000):
phi = np.linspace(-np.pi, np.pi, n)
u = phi * self.torus.r_min
width = np.pi*(self.torus.r_maj - self.torus.r_min*np.cos(phi))
data = np.array([width, u])
data2 = np.array([-width, u[::-1]])
# Make a vertically oriented slider to control the amplitude
axrad = fig.add_axes([0.1, 0.25, 0.0225, 0.63])
slider_rf = Slider(
ax=axrad,
label="Fraction of Radii (r/R)",
valmin=0,
valmax=1,
valinit=r_fraction,
orientation="vertical"
)
data = np.append(data, data2, axis=1)
data = np.append(data, data[:, 0:1], axis=1)
return data
def _contour_map(self, n=100):
theta = np.linspace(-np.pi, np.pi, n)
phi = np.linspace(-np.pi, np.pi, int(n*self.torus.r_min))
# The function to be called anytime a slider's value changes
def update_torus(val):
def update(ax, line, func):
u, m = func(slider_rf.val)
line.set_ydata(m)
line.set_xdata(u)
y = np.array([[w]*n for w in self.torus.r_min*phi])
func = (np.pi)*(self.torus.r_maj - self.torus.r_min*np.cos(phi))
x = np.array([np.linspace(-f, f, n) for f in func])
# x, y = np.meshgrid(np.linspace(-func[0], func[0], n), rmin*theta)
z = np.array([[self.torus.illumination(ph, th) for th in theta] for ph in phi])
return x, y, z
def _sunpos_map(self):
phi, theta = self.torus.sun_r
x = (self.torus.r_maj - self.torus.r_min*np.cos(phi)) * theta
y = self.torus.r_min * phi
return x, y
def _top_section(self, n=1000):
phi = np.linspace(0, np.pi, n)
x1 = (self.torus.r_maj + self.torus.r_min) * np.cos(phi)
y1 = -1 * (self.torus.r_maj + self.torus.r_min) * np.sin(phi)
data1 = np.array([x1, y1])
x2 = (self.torus.r_maj - self.torus.r_min) * np.cos(phi)
y2 = -1 * (self.torus.r_maj - self.torus.r_min) * np.sin(phi)
data2 = np.array([x2, y2])
data = np.append(data1, [[np.nan,], [np.nan,]], axis=1)
data = np.append(data, data2, axis=1)
return data
def _sunpath_top(self, n=1000):
phi = np.linspace(0, np.pi, n)
x = self.torus.r_maj + self.torus.r_maj*np.cos(phi)
y = np.zeros_like(phi)
return np.array([x, y])
def _sunpos_top(self):
phi, theta = self.torus.sun_r
x = self.torus.r_maj + self.torus.r_maj*np.cos(phi)
y = 0
return x, y
def _crossection(self, n=1000):
phi = np.linspace(0, 2*np.pi, n)
x = self.torus.r_maj + self.torus.r_min*np.cos(phi)
y = self.torus.r_min*np.sin(phi)
data = np.array([x, y])
data2 = np.array([-x, y])
data = np.append(data, [[np.nan,], [np.nan,]], axis=1)
data = np.append(data, data2, axis=1)
return data
def _sunpath_side(self, n=1000):
phi = np.linspace(0, 2*np.pi, n)
x = self.torus.r_maj + self.torus.r_maj*np.cos(phi)
y = self.torus.r_maj*np.sin(phi)
return np.array([x, y])
def _sunpos_side(self):
phi, theta = self.torus.sun_r
x = self.torus.r_maj - self.torus.r_maj*np.cos(phi)
y = self.torus.r_maj*np.sin(phi)
return x, y
@staticmethod
def redraw_plot(ax, line, func):
x, y = func()
line.set_xdata(x)
line.set_ydata(y)
ax.relim()
ax.autoscale_view()
update(ax_map, map_border, mantle)
update(ax_side, circles_side, crossection)
update(ax_side, path_side, sunpath_side)
update(ax_top, circles_top, topview)
update(ax_top, path_top, sunpath_top)
for coll in dawnline_map[0].collections:
@staticmethod
def redraw_contourf(ax, container, func, levels=None, contour_kwargs=None):
levels = levels if levels else [-1, 0, 1]
contour_kwargs = contour_kwargs if contour_kwargs else {}
for coll in container[0].collections:
coll.remove()
dawnline_map[0] = ax_map.contourf(*contour_map(slider_rf.val, slider_sun.val), [-1, 0, 1], cmap='YlOrBr_r')
container[0] = ax.contourf(*func(), levels, **contour_kwargs)
fig.canvas.draw_idle()
def update_torus(self, rfrac):
self.torus.update(rfrac)
self.redraw_plot(self.ax['map'], self.lines['map_border'], self._mantle_map)
self.redraw_plot(self.ax['side'], self.lines['circles_side'], self._crossection)
self.redraw_plot(self.ax['side'], self.lines['path_side'], self._sunpath_side)
self.redraw_plot(self.ax['top'], self.lines['circles_top'], self._top_section)
self.redraw_plot(self.ax['top'], self.lines['path_top'], self._sunpath_top)
self.redraw_contourf(self.ax['map'], self.lines['dawnline_map'],
self._contour_map, self.levels, self.contour_kwargs)
self.fig.canvas.draw_idle()
def update_sun(self, phi, theta):
self.torus.put_sun(phi, theta)
self.redraw_plot(self.ax['map'], self.lines['pos_map'], self._sunpos_map)
self.redraw_plot(self.ax['side'], self.lines['pos_side'], self._sunpos_side)
self.redraw_plot(self.ax['top'], self.lines['pos_top'], self._sunpos_top)
self.redraw_contourf(self.ax['map'], self.lines['dawnline_map'],
self._contour_map, self.levels, self.contour_kwargs)
self.fig.canvas.draw_idle()
# The function to be called anytime a slider's value changes
def update_sun(val):
def update(ax, line, func):
u, m = func(slider_rf.val, slider_sun.val)
line.set_ydata(m)
line.set_xdata(u)
class ImageStatic(NoInamge):
update(ax_map, pos_map, sun_map)
update(ax_side, pos_side, sun_side)
update(ax_top, pos_top, sun_top)
for coll in dawnline_map[0].collections:
coll.remove()
dawnline_map[0] = ax_map.contourf(*contour_map(slider_rf.val, slider_sun.val), [-1, 0, 1], cmap='YlOrBr_r')
fig.canvas.draw_idle()
def __init__(self, rfrac_init=0.5, sun_init=np.pi/2):
super().__init__(rfrac_init, sun_init)
plt.show()
# register the update function with each slider
slider_sun.on_changed(update_sun)
slider_rf.on_changed(update_torus)
class ImageInteractive(NoInamge):
# Create a `matplotlib.widgets.Button` to reset the sliders to initial values.
resetax = fig.add_axes([0.8, 0.025, 0.1, 0.04])
button = Button(resetax, 'Reset', hovercolor='0.975')
def __init__(self, rfrac_init=0.5, sun_init=np.pi/2):
super().__init__(rfrac_init, sun_init)
self.init_interactivity(rfrac_init, sun_init)
plt.show()
def init_interactivity(self, rfrac_init, sun_init):
self.fig.subplots_adjust(left=0.25, bottom=0.25)
self.ax['slider_sun'] = self.fig.add_axes([0.25, 0.1, 0.65, 0.03])
self.ax['slider_rf'] = self.fig.add_axes([0.1, 0.25, 0.0225, 0.63])
self.ax['button_reset'] = self.fig.add_axes([0.8, 0.025, 0.1, 0.04])
self.sliders = dict(
sun_phi=Slider(
ax=self.ax['slider_sun'],
label='Angle of Sun',
valmin=-np.pi,
valmax=np.pi,
valinit=sun_init,
),
rfrac=Slider(
ax=self.ax['slider_rf'],
label="Fraction of Radii (r/R)",
valmin=0,
valmax=1,
valinit=rfrac_init,
orientation="vertical"
)
)
self.sliders['sun_phi'].on_changed(self._slider_update_sun)
self.sliders['rfrac'].on_changed(self._slider_update_torus)
button = Button(self.ax['button_reset'], 'Reset', hovercolor='0.975')
button.on_clicked(self._reset)
def _slider_update_torus(self, val):
self.update_torus(val)
def _slider_update_sun(self, val):
self.update_sun(val, 0)
def _reset(self, event):
self.sliders['sun_phi'].reset()
self.sliders['rfrac'].reset()
def reset(event):
slider_sun.reset()
slider_rf.reset()
button.on_clicked(reset)
plt.show()
if __name__ == '__main__':
# ImageStatic()
ImageInteractive()