From a5221b52a58246060cdf10c6327f01fc5bfc3b30 Mon Sep 17 00:00:00 2001
From: Anthony Debucquoy <debucquoy.anthony@gmail.com>
Date: Fri, 30 Sep 2022 11:38:22 +0200
Subject: [PATCH] fixup! first commit

---
 .gitignore                                    |   1 +
 .../ex2-1/__pycache__/droite.cpython-310.pyc  | Bin 2152 -> 0 bytes
 29sept/ex2-1/droite.py                        |  34 +++++++++++++++---
 3 files changed, 31 insertions(+), 4 deletions(-)
 create mode 100644 .gitignore
 delete mode 100644 29sept/ex2-1/__pycache__/droite.cpython-310.pyc

diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..c18dd8d
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1 @@
+__pycache__/
diff --git a/29sept/ex2-1/__pycache__/droite.cpython-310.pyc b/29sept/ex2-1/__pycache__/droite.cpython-310.pyc
deleted file mode 100644
index 43bc0ef75c6ba0984229058c9a63f21e1436b39f..0000000000000000000000000000000000000000
GIT binary patch
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diff --git a/29sept/ex2-1/droite.py b/29sept/ex2-1/droite.py
index 61cbc8a..831173b 100644
--- a/29sept/ex2-1/droite.py
+++ b/29sept/ex2-1/droite.py
@@ -1,3 +1,19 @@
+def transform_mp_to_abc(m, p):
+    """transforme une équation de la forme y = mx + p to ax + by = c
+
+    :returns: 3-uple of a, b, c
+
+    """
+    return -m, 1, p
+
+def transform_abc_to_mp(a, b, c):
+    """transforme une équation de la forme to ax + by = c to y = mx + p
+
+    :returns: tuple of m, x
+
+    """
+    return -a/b, c
+
 def droite(p1: tuple,p2: tuple) -> tuple:
     """retourne un 3-uple d'une droite selon ax+by=c
 
@@ -64,22 +80,32 @@ def intersection(d1, d2):
 
 
 def droite_normale(d, p):
-    """TODO: trouve la normale dune droite passant par un point.
+    """trouve la normale dune droite passant par un point.
 
     :d: droite
     :p: point
     :returns: retourne la normale de la droite passant par le point
 
     """
+    a, b, c = d
+    x, y = p
+
+    m, p = transform_abc_to_mp(a, b, c)
+    return transform_mp_to_abc(-1/m, y-(-1/m)*x)
+
 
 
 
 def symetrie_orthogonale(d, p):
-    """TODO: Docstring for symetrie_orthogonale(d, p.
-    :returns: TODO
+    """ retourne la symétrie orthogonale par le point p de la droite d
+    :returns: symétrie orthogonale
 
     """
-    pass
+    a, b, c = d
+    x, y = p
+    ap, bp, cp = droite_normale(d,p) # perpendiculaire passant par le point
+    xi, yi = intersection((a,b,c), (ap, bp, cp))
+    return xi, yi
 
 def distance_droite_point(d, p):
     """TODO: Docstring for distance_droite_point.