57 lines
1.3 KiB
Python
57 lines
1.3 KiB
Python
import axi
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import math
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import random
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W, H = axi.A3_SIZE
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def circle_ray_intersection(cx, cy, cr, ox, oy, dx, dy):
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xd = ox - cx
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yd = oy - cy
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a = dx * dx + dy * dy
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b = 2 * (dx * (ox - cx) + dy * (oy - cy))
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c = xd * xd + yd * yd - cr * cr
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d = b * b - 4 * a * c
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if d < 0:
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return None
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t = (-b + math.sqrt(d)) / (2 * a)
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x = ox + dx * t
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y = oy + dy * t
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return (x, y)
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def path(x0, y0, r0, x1, y1, r1):
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t = random.random()
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a0 = random.random() * 2 * math.pi
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a1 = a0 + math.radians(10)
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n = 100
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result = []
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for i in range(n + 1):
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u = i / n
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a = a0 + (a1 - a0) * u
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dx = math.cos(a)
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dy = math.sin(a)
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ax, ay = circle_ray_intersection(x0, y0, r0, x0, y0, dx, dy)
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bx, by = circle_ray_intersection(x1, y1, r1, x0, y0, dx, dy)
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x = ax + (bx - ax) * t
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y = ay + (by - ay) * t
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result.append((x, y))
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return result
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def main():
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x0 = 0
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y0 = 0
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r0 = 1.5
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x1 = -0.25
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y1 = 0
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r1 = 2
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paths = []
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for i in range(500):
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paths.append(path(x0, y0, r0, x1, y1, r1))
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d = axi.Drawing(paths).rotate_and_scale_to_fit(W, H)#.sort_paths()
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im = d.render()
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im.write_to_png('circles_offset.png')
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d.dump('circles_offset.axi')
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# axi.draw(d)
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if __name__ == '__main__':
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main()
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