91 lines
1.6 KiB
Python
91 lines
1.6 KiB
Python
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def droite(p1: tuple,p2: tuple) -> tuple:
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"""retourne un 3-uple d'une droite selon ax+by=c
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:p1: tuple du point 1
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:p2: tuple du point 2
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:returns: 3-uple (a,b,c) tq ax+by=c
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"""
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x1, y1 = p1
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x2, y2 = p2
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if p1 == p2:
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return
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if x2-x1 == 0:
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return 1, 0, 0
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a = -(y2-y1)/(x2-x1)
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c = a*x1
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b = (-a*x2 + c) / y2
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return a, b, c
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def appartient(d, p):
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"""
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:d: equation d'une droite
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:p: point
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:returns: true si point est dans droite
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"""
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a, b, c = d
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x, y = p
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return a*x + b*y == c
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def paralleles(d1, d2):
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"""
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:d1: droite 1
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:d2: droite 2
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:returns: true si d1 et d2 sont paralleles sinon false
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"""
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a1, b1, c1 = d1
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a2, b2, c2 = d2
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return a1/b1 == a2/b2
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def intersection(d1, d2):
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"""Trouve le point d'intersection
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:d1: droite 1
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:d2: droite 2
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:returns: retourne le point d'intersection sinon None
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"""
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a1, b1, c1 = d1
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a2, b2, c2 = d2
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if paralleles(d1, d2):
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return # paralleles donc pas d'intersection
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y = (c2*a1 - a2*c1) / (-a2*b1 + b2*a1)
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x = (c1 - b1*y)/ a1
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return x, y
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def droite_normale(d, p):
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"""TODO: trouve la normale dune droite passant par un point.
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:d: droite
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:p: point
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:returns: retourne la normale de la droite passant par le point
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"""
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def symetrie_orthogonale(d, p):
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"""TODO: Docstring for symetrie_orthogonale(d, p.
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:returns: TODO
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"""
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pass
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def distance_droite_point(d, p):
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"""TODO: Docstring for distance_droite_point.
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:returns: TODO
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"""
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pass
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