-
Notifications
You must be signed in to change notification settings - Fork 4
/
Copy pathplot-points.py
332 lines (255 loc) · 9.78 KB
/
plot-points.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
# SPDX-FileCopyrightText: Steven Ward
# SPDX-License-Identifier: OSL-3.0
# pylint: disable=missing-function-docstring
# pylint: disable=missing-module-docstring
# pylint: disable=no-else-return
# pylint: disable=bad-indentation
# pylint: disable=fixme
# pylint: disable=invalid-name
# pylint: disable=pointless-string-statement
# pylint: disable=trailing-newlines
__author__ = 'Steven Ward'
__license__ = 'OSL-3.0'
__version__ = '2024-01-08'
from enum import Enum, auto, unique
import sys
from matplotlib.patches import Ellipse
import matplotlib.pyplot as plt
import numpy as np
from ellipsoid_np import WGS84
'''
Examples:
# region 0
python3 Nd-arange.py 0 90 0.0001 0 0 1 |
python3 plot-points.py -v -g --ell --evo --lim --km
# region 1
python3 Nd-arange.py 0 90 0.001 -100 1000 100 |
python3 plot-points.py -v -g --ell --evo --lim --km
# region 2
python3 Nd-arange.py 0 90 0.01 -10_000 100_000 1_000 |
python3 plot-points.py -v -g --ell --evo --lim --km
# region 3
python3 Nd-arange.py 0 90 0.1 -1_000_000 10_000_000 10_000 |
python3 plot-points.py -v -g --ell --evo --lim --km
# region 4
python3 Nd-arange.py 0 90 1 -5_000_000 500_000_000 100_000 |
python3 plot-points.py -v -g --ell --evo --lim --km
# negative height, inside evolute
python3 Nd-arange.py 0 90 5 -6_383_000 0 1_000 |
python3 plot-points.py -v -g --ell --evo --km
# negative height, inside evolute
python3 Nd-arange.py 0 90 1 -6_383_000 0 10_000 |
python3 plot-points.py -v -g --ell --evo --km
'''
# pylint: disable=too-many-arguments
# pylint: disable=too-many-locals
def plot_points_2d(points, plot_ellipse=False, plot_evolute=False,
limit_extents=False, dpi=plt.rcParams["figure.dpi"], km=False):
# https://matplotlib.org/stable/gallery/color/named_colors.html
#plt.style.use('dark_background')
# https://matplotlib.org/stable/api/figure_api.html#module-matplotlib.figure
fig = plt.figure(dpi=dpi)
# https://matplotlib.org/stable/api/figure_api.html#matplotlib.figure.Figure.gca
ax = fig.gca()
# The WGS-84 ellipsoid is used by default.
a = WGS84.a
b = WGS84.b
if km:
a /= 1000
b /= 1000
a2 = a*a
b2 = b*b
if plot_ellipse:
# https://numpy.org/doc/stable/reference/generated/numpy.linspace.html
#num = 32768
#t = np.linspace(-np.pi, np.pi, num+1)
#x = a * np.cos(t)
#y = b * np.sin(t)
#ax.plot(x, y, marker=None, color='tab:blue', linestyle='solid')
# https://matplotlib.org/stable/api/_as_gen/matplotlib.patches.Ellipse.html
ellipse = Ellipse(xy=(0, 0), width=2*a, height=2*b, facecolor='None', edgecolor='tab:blue')
ax.add_patch(ellipse)
if plot_evolute:
# https://numpy.org/doc/stable/reference/generated/numpy.linspace.html
num = 64
t = np.linspace(-np.pi, np.pi, num+1)
# https://mathworld.wolfram.com/EllipseEvolute.html
x = (a2 - b2) / a * np.cos(t)**3
y = (b2 - a2) / b * np.sin(t)**3
ax.plot(x, y, marker=None, color='tab:red', linestyle='solid')
# https://matplotlib.org/stable/api/_as_gen/matplotlib.axes.Axes.set_xlabel.html
# https://matplotlib.org/stable/api/_as_gen/matplotlib.axes.Axes.set_ylabel.html
if km:
ax.set_xlabel('W (km)')
ax.set_ylabel('Z\n(km)', rotation='horizontal')
else:
ax.set_xlabel('W (m)')
ax.set_ylabel('Z\n(m)', rotation='horizontal')
# https://matplotlib.org/stable/api/_as_gen/matplotlib.axes.Axes.set_aspect.html
ax.set_aspect('equal')
# https://matplotlib.org/stable/api/_as_gen/matplotlib.axes.Axes.margins.html
ax.margins(x=0, y=0)
# https://matplotlib.org/api/_as_gen/matplotlib.axes.Axes.tick_params.html
ax.tick_params(rotation=30)
# https://matplotlib.org/api/_as_gen/matplotlib.axes.Axes.axhline.html
ax.axhline(color='tab:purple', linestyle='--', linewidth=1)
# https://matplotlib.org/api/_as_gen/matplotlib.axes.Axes.axvline.html
ax.axvline(color='tab:purple', linestyle='--', linewidth=1)
# XXX: matplotlib: the ',' marker (pixel) doesn't work
# https://github.com/matplotlib/matplotlib/issues/11460
# https://stackoverflow.com/questions/39753282/scatter-plot-with-single-pixel-marker-in-matplotlib
ax.scatter(points[:, 0], points[:, 1], marker='.', s=(72/fig.dpi)**2,
color='tab:orange', alpha=0.8)
if limit_extents:
x_min = points[:, 0].min()
x_max = points[:, 0].max()
y_min = points[:, 1].min()
y_max = points[:, 1].max()
# https://matplotlib.org/stable/api/_as_gen/matplotlib.axes.Axes.set_xlim.html
ax.set_xlim(left=x_min, right=x_max)
# https://matplotlib.org/stable/api/_as_gen/matplotlib.axes.Axes.set_ylim.html
ax.set_ylim(bottom=y_min, top=y_max)
plt.show()
# pylint: disable=missing-class-docstring
@unique
class INPUT_DATA_FORMAT(Enum):
ECEF = auto()
GEODETIC = auto()
# pylint: disable=too-many-branches
# pylint: disable=too-many-statements
def main(argv = None):
# pylint: disable=import-outside-toplevel
import getopt
import os
import signal
if argv is None:
argv = sys.argv
program_name = os.path.basename(argv[0])
program_authors = [__author__]
# default values
default_verbose = False
default_input_data_format = INPUT_DATA_FORMAT.ECEF
default_plot_ellipse = False
default_plot_evolute = False
default_limit_extents = False
default_dpi = plt.rcParams["figure.dpi"]
default_km = False
# mutable values
verbose = default_verbose
input_data_format = default_input_data_format
plot_ellipse = default_plot_ellipse
plot_evolute = default_plot_evolute
limit_extents = default_limit_extents
dpi = default_dpi
km = default_km
# pylint: disable=unused-argument
def signal_handler(signal_num, execution_frame):
print()
sys.exit(0)
signal.signal(signal.SIGINT, signal_handler) # Interactive attention signal. (Ctrl-C)
signal.signal(signal.SIGTERM, signal_handler) # Termination request. (kill default signal)
def print_version():
"""Print the version information"""
print(f"{program_name} {__version__}")
print(f"Written by {', '.join(program_authors)}")
def print_verbose(s):
"""Print the message if verbose mode is on"""
if verbose:
print(f"# {s}", file=sys.stderr)
# pylint: disable=unused-variable
def print_warning(s):
"""Print the warning message"""
print(f"Warning: {s}", file=sys.stderr)
def print_error(s):
"""Print the error message"""
print(f"Error: {s}", file=sys.stderr)
print(f"Try '{program_name} --help' for more information.", file=sys.stderr)
def print_help():
"""Print the help message"""
print(f'''Plot 2D points read from stdin.
Usage: {program_name} [OPTION]...
The default input data format is ECEF and can be changed to Geodetic with the '-g' option.
ECEF (W, Z) data is in meters. Geodetic (latitude, height) data is in degrees and meters.
OPTIONS
-V, --version
Print the version information, then exit.
-h, --help
Print this message, then exit.
-v, --verbose
Print diagnostics.
(default: {default_verbose})
-g
Set the input data format to Geodetic instead of ECEF.
--ell
Plot the 2D ellipse of the WGS-84 datum.
--evo
Plot the evolute of the 2D ellipse of the WGS-84 datum.
--lim
Limit the plot area to the extents of the input data.
--dpi DPI
Specify the DPI value.
(default: {default_dpi})
-k, --km
Convert the input data from meters to kilometers.
''')
short_options = 'Vhvgk'
long_options = ['version', 'help', 'verbose', 'ell', 'evo', 'lim', 'dpi=', 'km']
try:
(options, remaining_args) = getopt.getopt(argv[1:], short_options, long_options)
except getopt.GetoptError as err:
print_error(err)
return 1
for (option, value) in options:
try:
if option in ['-V', '--version']:
print_version()
return 0
elif option in ['-h', '--help']:
print_help()
return 0
elif option in ['-v', '--verbose']:
verbose = True
elif option in ['-g']:
input_data_format = INPUT_DATA_FORMAT.GEODETIC
elif option in ['--ell']:
plot_ellipse = True
elif option in ['--evo']:
plot_evolute = True
elif option in ['--lim']:
limit_extents = True
elif option in ['--dpi']:
dpi = float(value)
elif option in ['-k', '--km']:
km = True
else:
print_error(f"Unhandled option: {option}")
return 1
except ValueError as err:
print_error(err)
return 1
print_verbose(f'{remaining_args=}')
print_verbose(f'{input_data_format=}')
print_verbose(f'{plot_ellipse=}')
print_verbose(f'{plot_evolute=}')
print_verbose(f'{limit_extents=}')
print_verbose(f'{dpi=}')
# https://numpy.org/doc/stable/reference/generated/numpy.loadtxt.html
points = np.loadtxt(sys.stdin)
print_verbose(f'{points=}')
print_verbose(f'{points.shape=}')
if points.size == 0: # empty
return 1
if input_data_format == INPUT_DATA_FORMAT.GEODETIC:
points = WGS84.geodetic_2d_to_ecef(points[:,0], points[:,1])
print_verbose(f'{points=}')
print_verbose(f'{points.shape=}')
if km:
print_verbose('(convert m to km)')
points /= 1000
print_verbose(f'{points=}')
print_verbose(f'{points.shape=}')
if points.shape[1] != 2:
raise ValueError("Must give points of 2 dimensions")
plot_points_2d(points, plot_ellipse, plot_evolute, limit_extents, dpi, km)
if __name__ == '__main__':
sys.exit(main())