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June 30, 2023 12:24
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import numpy as np | |
import matplotlib.pyplot as plt | |
import random | |
from scipy.optimize import fmin | |
idealspeed = 3*(10**8) # meters в секунду | |
sigma = 10 * 10**-9 # +- 10 nanoseconds | |
class vec2: | |
def __init__(self, x: float, y: float) -> None: | |
self.x = x | |
self.y = y | |
def random(): | |
r_x = np.round(np.random.rand() * 1000, 3) | |
r_y = np.round(np.random.rand() * 1000, 3) | |
return vec2(r_x, r_y) | |
def distto(self, vec): | |
return np.sqrt(((vec.x - self.x)**2) + ((vec.y - self.y)**2)) | |
def __str__(self): | |
return "[%g, %g]" % (self.x, self.y) | |
class tower: | |
def __init__(self, pos: vec2) -> None: | |
self.pos = pos | |
self.time = 0 | |
def __str__(self): | |
return "tower at [%g, %g]" % (self.pos.x, self.pos.y) | |
class hooman: | |
def __init__(self, towers: list) -> None: | |
r1 = np.random.rand() | |
r2 = np.random.rand() | |
sqrtR1 = np.sqrt(r1) | |
x = (1 - sqrtR1) * towers[0].pos.x + (sqrtR1 * (1 - r2)) * towers[1].pos.x + (sqrtR1 * r2) * towers[2].pos.x | |
y = (1 - sqrtR1) * towers[0].pos.y + (sqrtR1 * (1 - r2)) * towers[1].pos.y + (sqrtR1 * r2) * towers[2].pos.y | |
self.pos = vec2(x,y) | |
class task_dist: | |
def __init__(self) -> None: | |
self.towers = [] | |
self.human = hooman(self.towers) | |
def lmao(): | |
towers = [] | |
for i in range(0,3): | |
towers.append(tower(vec2.random())) | |
human = hooman(towers) | |
tpoints = [[t.pos.x, t.pos.y] for t in towers] | |
plt.figure(0) | |
plt.scatter(tpoints[:][0], tpoints[:][1], s = 170, color = "blue", alpha=0) | |
tt1 = plt.Polygon(tpoints[:3][:], color="red", fill=False) | |
plt.gca().add_patch(tt1) | |
for t in towers: | |
distance = t.pos.distto(human.pos) | |
t.time = distance/idealspeed | |
plt.plot([t.pos.x, human.pos.x], [t.pos.y, human.pos.y], linestyle="dotted",linewidth=1, markersize=12, label = '{0:.7f} секунд'.format(t.time)) | |
plt.legend() | |
plt.plot(human.pos.x, human.pos.y,'bo', markersize=2) | |
plt.figure(1) | |
plt.scatter(tpoints[:][0], tpoints[:][1], s = 170, color = "blue", alpha=0) | |
tt1 = plt.Polygon(tpoints[:3][:], color="red", fill=False) | |
plt.gca().add_patch(tt1) | |
for t in towers: | |
t.time = random.gauss(t.time, sigma) | |
plt.plot([t.pos.x, human.pos.x], [t.pos.y, human.pos.y], linestyle="dotted",linewidth=1, markersize=12, label = '{0:.7f} секунд'.format(t.time)) | |
circle = plt.Circle((t.pos.x, t.pos.y), t.time*idealspeed, color='g', fill=False) | |
plt.gca().add_patch(circle) | |
def f(X0): | |
x, y = X0 | |
summ = 0 | |
for tower in towers: | |
summ += (((x - tower.pos.x)**2) + ((y - tower.pos.y)**2) - ((tower.time*idealspeed)**2))**2 | |
return summ | |
guess = (1, 1) | |
guess = fmin(f, guess) | |
print(guess) | |
plt.plot(guess[0], guess[1],'bo', markersize=2, color = "r") | |
plt.legend() | |
plt.show() | |
if __name__ == "__main__": | |
lmao() |
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