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import pandas as pd
import matplotlib
import matplotlib.pyplot as plt
import seaborn as sns
import numpy as np
import math
import scipy.interpolate as interpolate
def main():
sns.set_style("ticks")
#matplotlib.rcParams['font.sans-serif'] = "Comic Sans MS" # for the radial ticks thatn I didnt manage to change otherwise
print('Reading race data...')
data = pd.read_csv('https://docs.google.com/spreadsheets/d/16S4WFeQv5_mVwf5IkeHNBLFwDj3kpTra4C8fNkLJJLQ/export?gid=0&format=csv', dtype='float')
print(' DONE\n')
data = data.sort_values(by=['TWA'])
# print(data)
TWA = data['TWA'].values
TWA_resampled = np.arange(0, 180.1, .1)
# calculate polynomial
if False:
polar_fit = np.polyfit(data['TWA'], data['normalised_SPD_8nm'], 3)
f = np.poly1d(polar_fit)
SPD_fitted = f(TWA_resampled)
else:
f = interpolate.splrep(data['TWA'], data['normalised_SPD_8nm'], k=3, s=1)
SPD_fitted = interpolate.splev(TWA_resampled, f)
plt.figure()
fig_grid = plt.GridSpec(2, 2)
# --- FITTED MODEL ---
with plt.xkcd():
ax = plt.subplot(fig_grid[0, 1])
ax.plot( TWA, data['normalised_SPD_8nm'].values, marker='o', color='gray', alpha=0.2, linestyle = 'None' )
ax.plot( TWA_resampled, SPD_fitted, marker='None', linestyle = '-', color='darkorange', label='Sailing speed' )
with plt.xkcd():
ax.xaxis.grid(linewidth=1.0)
ax.yaxis.grid(linewidth=1.0)
ax.set_xticks(np.arange(0,200,20))
plt.legend(loc='lower right')
plt.ylabel('Sailing speed (nm)')
sns.despine(bottom=True)
# --- UPWIND SPEED ---
upwind_SPD = SPD_fitted * np.cos(np.radians(TWA_resampled))
max_id = np.argmax(upwind_SPD)
min_id = np.argmin(upwind_SPD)
with plt.xkcd():
ax = plt.subplot(fig_grid[1, 1])
ax.plot( TWA_resampled, upwind_SPD, marker='None', linestyle = '-', color='darkred', label='Upwind speed' )
with plt.xkcd():
ax.plot( TWA_resampled[max_id], upwind_SPD[max_id], marker='o', color='black', alpha=1, linestyle = 'None', label='Optimal sailing points')
ax.plot( TWA_resampled[min_id], upwind_SPD[min_id], marker='o', color='black', alpha=1, linestyle = 'None')
plt.annotate(
'Max Upwind Speed ({:.2f}kn) at {:.1f} TWD'.format( upwind_SPD[max_id], TWA_resampled[max_id] ),
xy=(TWA_resampled[max_id], upwind_SPD[max_id]), arrowprops=dict(arrowstyle='->'), xytext=(0, 2.2))
plt.annotate(
'Max Downwind Speed ({:.2f}kn) at {:.1f} TWD'.format( -upwind_SPD[min_id], TWA_resampled[min_id] ),
xy=(TWA_resampled[min_id], upwind_SPD[min_id]), arrowprops=dict(arrowstyle='->'), xytext=(90, -2.8))
ax.xaxis.grid(linewidth=1.0)
ax.yaxis.grid(linewidth=1.0)
ax.set_xticks(np.arange(0,200,20))
plt.ylabel('Upwind speed (nm)')
plt.xlabel('Wind direction (TWA)')
plt.legend(loc='lower left')
sns.despine()
# FITTED MODEL POLAR
with plt.xkcd():
ax = plt.subplot(fig_grid[:, 0], projection='polar')
ax.plot( np.radians(TWA), data['normalised_SPD_8nm'].values, marker='o', color='gray', alpha=0.2, linestyle = 'None', label='Measurements' )
ax.plot( np.radians(TWA_resampled), SPD_fitted, marker='None', linestyle = '-', color='darkorange', label='Sailing speed' )
with plt.xkcd():
ax.plot( np.radians(TWA_resampled[max_id]), SPD_fitted[max_id], marker='o', color='black', alpha=1, linestyle = 'None', label='Optimal sailing points')
ax.plot( np.radians(TWA_resampled[min_id]), SPD_fitted[min_id], marker='o', color='black', alpha=1, linestyle = 'None')
plt.xlim([0, math.pi])
ax.xaxis.grid(linewidth=1.0)
ax.set_yticklabels([])
# ax.set_rticks([0.5, 1, 1.5, 2]) # less radial ticks
ax.set_theta_zero_location("N")
# ax.set_xticks(np.arange(0,210,30))
# plt.title('Sailing speed')
ax.set_xticks(np.radians(np.linspace(0,180,10)))
plt.legend(loc='lower left')
# sns.despine()
with plt.xkcd():
plt.suptitle("Caribbean Rose sailing points @ 8nm winds", fontsize=20)
plt.show()
if __name__ == "__main__":
main()