def polarPlot(
rphi,
title="",
r1=0,
r2=1,
lpos=1,
lsize=0.03,
c="blue",
bc="k",
alpha=1,
lw=3,
deg=False,
vmax=None,
fill=True,
spline=True,
smooth=0,
showPoints=True,
showDisc=True,
showLines=True,
showAngles=True,
):
"""
Polar/radar plot by splining a set of points in polar coordinates.
Input is a list of polar angles and radii.
:param str title: histogram title
:param int bins: number of bins in phi
:param float r1: inner radius
:param float r2: outer radius
:param float lsize: label size
:param c: color of the line
:param bc: color of the frame and labels
:param alpha: alpha of the frame
:param int lw: line width in pixels
:param bool deg: input array is in degrees
:param bool fill: fill convex area with solid color
:param bool spline: interpolate the set of input points
:param bool showPoints: show data points
:param bool showDisc: show the outer ring axis
:param bool showLines: show lines to the origin
:param bool showAngles: show angular values
|polarPlot| |polarPlot.py|_
"""
if len(rphi) == 2:
#rphi = list(zip(rphi[0], rphi[1]))
rphi = np.stack((rphi[0], rphi[1]), axis=1)
rphi = np.array(rphi)
thetas = rphi[:, 0]
radii = rphi[:, 1]
k = 180 / np.pi
if deg:
thetas = np.array(thetas) / k
vals = []
for v in thetas: # normalize range
t = np.arctan2(np.sin(v), np.cos(v))
if t < 0:
t += 2 * np.pi
vals.append(t)
thetas = np.array(vals)
if vmax is None:
vmax = np.max(radii)
angles = []
labs = []
points = []
for i in range(len(thetas)):
t = thetas[i]
r = (radii[i]) / vmax * r2 + r1
ct, st = np.cos(t), np.sin(t)
points.append([r * ct, r * st, 0])
p0 = points[0]
points.append(p0)
r2e = r1 + r2
if spline:
lines = shapes.KSpline(points, closed=True)
else:
lines = shapes.Line(points)
lines.c(c).lw(lw).alpha(alpha)
points.pop()
ptsact = None
if showPoints:
ptsact = shapes.Points(points).c(c).alpha(alpha)
filling = None
if fill:
faces = []
coords = [[0, 0, 0]] + lines.points().tolist()
for i in range(1, lines.N()):
faces.append([0, i, i + 1])
filling = Mesh([coords, faces]).c(c).alpha(alpha)
back = None
if showDisc:
back = shapes.Disc(r1=r2e, r2=r2e * 1.01, c=bc, res=1, resphi=360)
back.z(-0.01).lighting(diffuse=0, ambient=1).alpha(alpha)
ti = None
if title:
ti = shapes.Text(title, (0, 0, 0),
s=lsize * 2,
depth=0,
justify="top-center")
ti.pos(0, -r2e * 1.15, 0.01)
rays = []
if showDisc:
rgap = 0.05
for t in np.linspace(0, 2 * np.pi, num=8, endpoint=False):
ct, st = np.cos(t), np.sin(t)
if showLines:
l = shapes.Line((0, 0, -0.01),
(r2e * ct * 1.03, r2e * st * 1.03, -0.01))
rays.append(l)
elif showAngles: # just the ticks
l = shapes.Line(
(r2e * ct * 0.98, r2e * st * 0.98, -0.01),
(r2e * ct * 1.03, r2e * st * 1.03, -0.01),
)
if showAngles:
if 0 <= t < np.pi / 2:
ju = "bottom-left"
elif t == np.pi / 2:
ju = "bottom-center"
elif np.pi / 2 < t <= np.pi:
ju = "bottom-right"
elif np.pi < t < np.pi * 3 / 2:
ju = "top-right"
elif t == np.pi * 3 / 2:
ju = "top-center"
else:
ju = "top-left"
a = shapes.Text(int(t * k),
pos=(0, 0, 0),
s=lsize,
depth=0,
justify=ju)
a.pos(r2e * ct * (1 + rgap), r2e * st * (1 + rgap), -0.01)
angles.append(a)
mrg = merge(back, angles, rays, labs, ti)
if mrg:
mrg.color(bc).alpha(alpha).lighting(diffuse=0, ambient=1)
rh = Assembly([lines, ptsact, filling] + [mrg])
rh.base = np.array([0, 0, 0])
rh.top = np.array([0, 0, 1])
return rh
def polarHistogram(
values,
title="",
bins=10,
r1=0.25,
r2=1,
phigap=3,
rgap=0.05,
lpos=1,
lsize=0.05,
c=None,
bc="k",
alpha=1,
cmap=None,
deg=False,
vmin=None,
vmax=None,
labels=(),
showDisc=True,
showLines=True,
showAngles=True,
showErrors=False,
):
"""
Polar histogram with errorbars.
:param str title: histogram title
:param int bins: number of bins in phi
:param float r1: inner radius
:param float r2: outer radius
:param float phigap: gap angle btw 2 radial bars, in degrees
:param float rgap: gap factor along radius of numeric angle labels
:param float lpos: label gap factor along radius
:param float lsize: label size
:param c: color of the histogram bars, can be a list of length `bins`.
:param bc: color of the frame and labels
:param alpha: alpha of the frame
:param str cmap: color map name
:param bool deg: input array is in degrees
:param float vmin: minimum value of the radial axis
:param float vmax: maximum value of the radial axis
:param list labels: list of labels, must be of length `bins`
:param bool showDisc: show the outer ring axis
:param bool showLines: show lines to the origin
:param bool showAngles: show angular values
:param bool showErrors: show error bars
|polarHisto| |polarHisto.py|_
"""
k = 180 / np.pi
if deg:
values = np.array(values) / k
dp = np.pi / bins
vals = []
for v in values: # normalize range
t = np.arctan2(np.sin(v), np.cos(v))
if t < 0:
t += 2 * np.pi
vals.append(t - dp)
histodata, edges = np.histogram(vals,
bins=bins,
range=(-dp, 2 * np.pi - dp))
thetas = []
for i in range(bins):
thetas.append((edges[i] + edges[i + 1]) / 2)
if vmin is None:
vmin = np.min(histodata)
if vmax is None:
vmax = np.max(histodata)
errors = np.sqrt(histodata)
r2e = r1 + r2
if showErrors:
r2e += np.max(errors) / vmax * 1.5
back = None
if showDisc:
back = shapes.Disc(r1=r2e, r2=r2e * 1.01, c=bc, res=1, resphi=360)
back.z(-0.01).lighting(diffuse=0, ambient=1).alpha(alpha)
slices = []
lines = []
angles = []
labs = []
errbars = []
for i, t in enumerate(thetas):
r = histodata[i] / vmax * r2
d = shapes.Disc((0, 0, 0), r1, r1 + r, res=1, resphi=360)
delta = dp - np.pi / 2 - phigap / k
d.cutWithPlane(normal=(np.cos(t + delta), np.sin(t + delta), 0))
d.cutWithPlane(normal=(np.cos(t - delta), np.sin(t - delta), 0))
if cmap is not None:
cslice = colors.colorMap(histodata[i], cmap, vmin, vmax)
d.color(cslice)
else:
if c is None:
d.color(i)
elif utils.isSequence(c) and len(c) == bins:
d.color(c[i])
else:
d.color(c)
slices.append(d)
ct, st = np.cos(t), np.sin(t)
if showErrors:
showLines = False
err = np.sqrt(histodata[i]) / vmax * r2
errl = shapes.Line(
((r1 + r - err) * ct, (r1 + r - err) * st, 0.01),
((r1 + r + err) * ct, (r1 + r + err) * st, 0.01),
)
errl.alpha(alpha).lw(3).color(bc)
errbars.append(errl)
if showDisc:
if showLines:
l = shapes.Line((0, 0, -0.01),
(r2e * ct * 1.03, r2e * st * 1.03, -0.01))
lines.append(l)
elif showAngles: # just the ticks
l = shapes.Line(
(r2e * ct * 0.98, r2e * st * 0.98, -0.01),
(r2e * ct * 1.03, r2e * st * 1.03, -0.01),
)
lines.append(l)
if showAngles:
if 0 <= t < np.pi / 2:
ju = "bottom-left"
elif t == np.pi / 2:
ju = "bottom-center"
elif np.pi / 2 < t <= np.pi:
ju = "bottom-right"
elif np.pi < t < np.pi * 3 / 2:
ju = "top-right"
elif t == np.pi * 3 / 2:
ju = "top-center"
else:
ju = "top-left"
a = shapes.Text(int(t * k),
pos=(0, 0, 0),
s=lsize,
depth=0,
justify=ju)
a.pos(r2e * ct * (1 + rgap), r2e * st * (1 + rgap), -0.01)
angles.append(a)
if len(labels) == bins:
lab = shapes.Text(labels[i], (0, 0, 0),
s=lsize,
depth=0,
justify="center")
lab.pos(r2e * ct * (1 + rgap) * lpos / 2,
r2e * st * (1 + rgap) * lpos / 2, 0.01)
labs.append(lab)
ti = None
if title:
ti = shapes.Text(title, (0, 0, 0),
s=lsize * 2,
depth=0,
justify="top-center")
ti.pos(0, -r2e * 1.15, 0.01)
mrg = merge(back, lines, angles, labs, ti)
if mrg:
mrg.color(bc).alpha(alpha).lighting(diffuse=0, ambient=1)
rh = Assembly(slices + errbars + [mrg])
rh.base = np.array([0, 0, 0])
rh.top = np.array([0, 0, 1])
return rh