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fourier_data.py
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import numpy as np
from numpy.fft import fft
import matplotlib.pyplot as plt
# SVG格式
# 首先用adobe illustrator或其他工具生成矢量图，保存为SVG格式
# 这个矢量图应当只有一条曲线，且曲线是闭合的
# 因为解析SVG格式是自己写的，目前只支持path标签且仅支持：HhVvLlMmCcSs
# 将path的内容复制到这里就可以了
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def is_zm(c):
return c in "MmHhLlQWERTYUIOPKJGFDSAZXCVBNMqwertyuiopkjgfdsazxcvbn"
path_len = len(path)
l_list = []
i = 0
while i < path_len:
if is_zm(path[i]):
j = i
i += 1
while i < path_len and not is_zm(path[i]):
i += 1
if i == path_len:
i += 1
if i != j:
s = path[j:i].strip()
a = s[0]
b = s[1:]
if a in "HhVv":
l_list.append([a, float(b)])
elif a in "LlMm":
a = a.replace("M", "L").replace("m", "l")
b_list = b.replace("-", ",-").split(",")
b_list = [float(bb) for bb in b_list if len(bb) != 0]
assert len(b_list) == 2
l_list.append([a, *b_list])
elif a in "Cc":
b_list = b.replace("-", ",-").split(",")
b_list = [float(bb) for bb in b_list if len(bb) != 0]
assert len(b_list) == 6
l_list.append([a, *b_list])
elif a in "Ss":
b_list = b.replace("-", ",-").split(",")
b_list = [float(bb) for bb in b_list if len(bb) != 0]
assert len(b_list) == 4
l_list.append([a, *b_list])
else:
print("未知的：", s)
else:
print("error:", path[i])
i += 1
print(len(l_list))
point_list = []
for line in l_list[:-1]:
a = line[0]
if a == "L":
point_list.append((line[1], line[2]))
elif a == "l":
point_list.append((point_list[-1][0] + line[1], point_list[-1][1] + line[2]))
elif a == "h":
point_list.append((point_list[-1][0] + line[1], point_list[-1][1]))
elif a == "v":
point_list.append((point_list[-1][0], point_list[-1][1] + line[1]))
elif a == "V":
point_list.append((point_list[-1][0], line[1]))
elif a == "c":
point_list.append((point_list[-1][0] + line[5], point_list[-1][1] + line[6]))
elif a == "s":
point_list.append((point_list[-1][0] + line[3], point_list[-1][1] + line[4]))
else:
print(point_list[-1], line)
y = [complex(p[0] - 270, p[1] - 213.5) for p in point_list]
y_matrix = np.array(point_list)
y_len = len(y)
yy = fft(y)
print(y_len, len(yy))
plt.plot(y_matrix[:, 0], y_matrix[:, 1])
plt.show()
def fuck(v):
if v.real == 0 or v.imag == 0:
return 0
return np.arctan(v.imag / v.real)
PP = []
for i, v in enumerate(yy[:y_len]):
c = -2 * np.pi * i / y_len
PP.append([-v.real / y_len, c, np.pi / 2])
PP.append([-v.imag / y_len, c, 0])
PP.sort(key=lambda x: abs(x[0]), reverse=True)
# for p in PP:
# print(p, ",")