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# Untitled

a guest May 16th, 2018 104 Never
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1. def plane(p1,p2,p3):
2.     v1=VminusV((p2[0],p2[1],heights[p2[0],p2[1]]),(p1[0],p1[1],heights[p1[0],p1[1]]))
3.     v2=VminusV((p3[0],p3[1],heights[p3[0],p3[1]]),(p1[0],p1[1],heights[p1[0],p1[1]]))
4.     n=VxV(v1,v2)
5.     point=(p1[0],p1[1],heights[p1[0],p1[1]])
6.     d=-(VdotV(n,point))
7.     return (*n,d)
8.
9. def getappl(x,y):
10.     if (int(x)+int(y))%2==0:
11.         if x%1<y%1:
12.             pl = plane((int(x),int(y)),(int(x),int(y+1)),(int(x+1),int(y+1)))
13.         else:
14.             pl = plane((int(x),int(y)),(int(x+1),int(y+1)),(int(x+1),int(y)))
15.     else:
16.         if (1-x%1)<y%1:
17.             pl = plane((int(x+1),int(y)),(int(x),int(y+1)),(int(x+1),int(y+1)))
18.         else:
19.             pl = plane((int(x),int(y)),(int(x),int(y+1)),(int(x+1),int(y)))
20.     return -(pl[0]*x+pl[1]*y+pl[3])/pl[2]
21.
22. def hor(p1,p2):
23.     d = VminusV(p2,p1)
24.     k=int(max(abs(d[0]),abs(d[1])))
25.     step = 1/k
26.     for i in range(k):
27.         cur = VplusV(p1,VxR(d,i*step))
28.         if cur[2]<getappl(cur[0],cur[1]):
29.             return False
30.     return True
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