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
literal 0
HcmV?d00001

literal 2152
zcmd1j<>g{vU|{&a+cepZje+4Yh=YvT7#J8F7#J9ey%-o6QW#PhQW#SiQkYU1(%4d%
zQ&?J9q8L+HQ`lM<qL@<HQ#e`}qL@=SQ@C0fqF7S6Q+Qe!qF7USQ}|jKqS#XSQv_NV
zqS#XegBdi1ZZQ=Y-eM{+y2VzMT2fk+m&}A@Ehhs512Y2ygEPqHBnAeC8ip9ATBcg&
z8par=T9#VY8ipFiY^EZ<6vkkN8kQO+35FD=Y^EZy6y{)t8rB+S2?lPcxHLm8TMb(c
zlL$jCdkq^%RD_|1U7VqYRhpreqlT@9qlP_=Iha9{rD{S^YDs=+QC_M-X`X_yZfQYI
zszQo-X<n*AN>P4hNvc9|YEFKhLSlt>Ql)J&7ng#9f`V0np_M`jL}{r)L4IaliGm?i
z#t1{k2qFXVaj_N55{*QiB%NeUg_1&4!~I@@!bFq#B_jg^LlFy%SjnKtSp*gWg;^9+
zg<%v^rC}6Pg;5k!rO_?M#9NHXw-}R(Kye2qei`a#<maa9m*nSVmLzBBC+C+I6~`A8
z<);@V>Kj=Wrxujxr&bv08tOwls#j2Xiw(jASyL>+z`(%4!NJJE$im3O$igVZ$iXPY
z$i-O1&A`Bb5^?Ov5vK-;IA&19)v|!2j<uGphN*^CgrSDHhE0S)oS}v#n<<z<ld&oe
z5;Q4R3aN#qi6xo&c_?8Iku9)-1TlmM55|(B(o}`wOo*I9YH^7|N@89yG}a*T1P%vH
z_FIf8w-^hGK+Y@zC9)z81_p*(j1{*SE5Rxt1Sm_~;z}$iNGvMJOwB711tmjJXmYW0
zFp4l137~r$WC}dJs-SzDxt6t-t(LupsfJk^lseg@8K9m{g?J>z&<g5USlUT3f{UQ1
z8JK5N3>8vK6jF>7iu3bI6bcfH5_57=b5e^HiZk=_^Ayq&bBa@u{myZVDaG&>Q;N|o
zrbNSAOi6~fn34@|F(n$^VoEZ)#guFW@jJ+yMUVhMn5l>e04_!WrXor7003zKrB85%
zjlmHBB@Cc!+ssrX2+p?bpiEiATEim3Ai+?>%FR&2EW!ZEs^Sdb%*j&2T*CpDWs+v7
z<*ebX;Yb6e7N)A^kfQw3vQ&kfRA{89sAuMtq!tyYCWDd=#NSpVg)2Ps<1iB%u73G>
z&|vk`WCRC<CRdRlC~FFV2w@Nb$}dHrL{lUN;);U^2@t^#BKSZAIGDi%DClnSAiG`<
z6xtwFTpV1CTudyCN=yQb985)0=%EhE{-6vB3iZ#R;0J}PCR5eI5PuhcD}@qh7$qv?
z<rn29f=V-_!mJ>%xHu7#azN!BxaiV@1sp8(LDDCVY=;OjBpXr{auQ*Q8QBV0s6uS;
z11GkXOhr7Pz~BWD;J^SA;1J=1lt1xMr#ped1ms^9h9X&f;ZP*az`&r%ROJo{1DE{d
z;*z4wymW=M{33<o%G}hFqRiCz{GyVK{Pg_1#GF)(6di>EJ%~r)B??G0vP+9(usBf!
zn{hr23=E&a4rMKpBgUc5AiJy-P#v0*SzMBsmz)|84FzcIfNLDm94U&`s9=zH<Uxc2
z0|SGfCdVySa3uyV(ZS^#IBA2E95}qeeklSe2FDx{0gf#Wo80`A(wtN~P;x8=rCl)w
Q4iOF>4qgrs4lW*c00({G;s5{u

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.