-
Notifications
You must be signed in to change notification settings - Fork 0
/
fourier.py
57 lines (48 loc) · 1.47 KB
/
fourier.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
# lsqfitgp/examples/fourier.py
#
# Copyright (c) 2022, Giacomo Petrillo
#
# This file is part of lsqfitgp.
#
# lsqfitgp is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# lsqfitgp is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with lsqfitgp. If not, see <http://www.gnu.org/licenses/>.
import lsqfitgp as lgp
from matplotlib import pyplot as plt
import numpy as np
import gvar
"""Constrain the values of Fourier series coefficients"""
x = np.linspace(0, 1, 100)
gp = (lgp
.GP(lgp.Zeta(nu=2.5))
.deflinop('F', 'fourier', True, lgp.GP.DefaultProcess)
.addx(x, 'x')
.addx(1, 's1', proc='F')
.addx(2, 'c1', proc='F')
)
comb = [
[0, 0],
[1, 0],
[0, 1],
[1, 1],
]
fig, ax = plt.subplots(num='fourier', clear=True)
for s, c in comb:
y = gp.predfromdata(dict(s1=s, c1=c), 'x')
m = gvar.mean(y)
u = gvar.sdev(y)
pc = ax.fill_between(x, m - u, m + u, alpha=0.5, label=f's{s}c{c}')
color = pc.get_facecolor()
for sample in gvar.raniter(y, 3):
ax.plot(x, sample, color=color)
ax.legend()
fig.show()