From cdb787d492e240200fcf433e177555de9e666120 Mon Sep 17 00:00:00 2001
From: Valentin Gehrke <madmaurice@zom.bi>
Date: Tue, 30 Jun 2015 21:53:40 +0200
Subject: [PATCH] =?UTF-8?q?Gauss=20algorithmus=20zum=20L=C3=B6sen=20von=20?=
 =?UTF-8?q?Ax=3Db?=
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---
 gauss.py | 44 ++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 44 insertions(+)
 create mode 100644 gauss.py

diff --git a/gauss.py b/gauss.py
new file mode 100644
index 0000000..8bc6d0a
--- /dev/null
+++ b/gauss.py
@@ -0,0 +1,44 @@
+def gauss(A,b,offset=(0,0)):
+    ox,oy = offset
+    if len(A)-1 < oy:
+        return A,b
+
+    for i in range(oy,len(A)):
+        if A[i][ox] != 0:
+            if i > oy:
+                A[i], A[oy] = A[oy], A[i]
+                b[i], b[oy] = b[oy], b[i]
+            break
+
+    for i in range(oy+1,len(A)):
+        if A[i][ox] != 0:
+            c = A[i][0]/A[oy][0]
+            A[i] = [ (A[i][x] - A[oy][x]*c) for x in range(ox,len(A[i])) ]
+            b[i] = b[i] - b[oy]*c
+
+    return gauss(A,b,offset=(ox+1,oy+1))
+
+
+def vprint(A):
+    for i in range(len(A)):
+        print("%3d" % A[i])
+
+def pprint(A):
+    for i in range(len(A)):
+        print( " ".join(["%3d" % (A[i][j]) for j in range(len(A[i])) ]) )
+
+
+A = [ [ 1, 1 ],
+      [ 1,-1 ] ]
+
+b = [ 5,
+      3 ]
+
+pprint(A)
+vprint(b)
+
+
+A, b = gauss(A,b)
+
+pprint(A)
+vprint(b)