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--- lehrkraefte:blc:notnagel17:start [2017/11/23 13:29]
Ivo Blöchliger [Unterlagen]
+++ lehrkraefte:blc:notnagel17:start [2017/12/05 14:06] (current)
Ivo Blöchliger
@@ Line 12: / Line 12: @@
   *
+===== Diverses =====
+TigerJython-Code (nur lauffähig auf neueren Versions) zu $e^{i\pi}+1=0$:
+<code python eipi.py>
+from gpanel import *
+import cmath
+def cross(a,b,e=0.04):
+    line(0,0,a,b)
+    line(a-e,b,a+e,b)
+    line(a,b-e,a,b+e)
+def show(n):
+    enableRepaint(False)
+    clear()
+    # Koordinatensystem
+    line(-2,0,2,0)
+    line(0,-2,0,2)
+    circle(0,0,1)
+    # Basis
+    z = complex(1.0, math.pi/n)
+    x = 1
+    # Alle Potenzen davon
+    for i in range(1,n):
+        x*=z
+        cross(x.real, x.imag)
+    # Anzeigen
+    repaint()
+@onMouseMoved
+def mouseMoved(x,y):
+    show(int((x+2)*(x+2)*20+2));
+makeGPanel(-2, 2, -1, 3)
+</code>
+Komplexe Funktionen visualisieren:
+<code python complexfuncs.py>
+from gpanel import *
+import cmath
+def cross(z,e=0.01):
+    a = z.real
+    b = z.imag
+    line(a-e,b,a+e,b)
+    line(a,b-e,a,b+e)
+@onMouseClicked
+def init(x,y):
+    clear()
+    # Koordinatensystem
+    setColor("black");
+    line(-4,0,4,0)
+    line(0,-4,0,4)
+    circle(0,0,1)
+def myfunc(z):
+    return z*z*z
+def show(z):
+    setColor("black")
+    cross(z)
+    setColor("red")
+    cross(myfunc(z))
+@onMouseMoved
+def mouseMoved(x,y):
+    show(complex(x,y));
+makeGPanel(-4, 4, -4, 4)
+init(0,0)
+</code>
+Kurven abbilden:
+<code python shapeimage.py>
+from gpanel import *
+import cmath
+def cross(z,e=0.01):
+    a = z.real
+    b = z.imag
+    line(a-e,b,a+e,b)
+    line(a,b-e,a,b+e)
+@onMouseClicked
+def init(x,y):
+    clear()
+    # Koordinatensystem
+    setColor("black");
+    line(-4,0,4,0)
+    line(0,-4,0,4)
+    circle(0,0,1)
+def myfunc(z):
+    return z*z
+def mycircle(c,r=1.0, f=myfunc):
+    for i in range(0,360):
+        a = i/180.0*math.pi
+        z = c+complex(math.cos(a),math.sin(a))*r
+ #       z = c+complex(math.cos(a),math.sin(a))*r*(1+math.cos(a*20)*0.1)
+#        b = (i % 90 - 45)/180.0*math.pi ;  z = c+complex(math.cos(a),math.sin(a))*r*math.sqrt(math.tan(b)**2+1)
+        setColor("blue")
+        cross(z)
+        setColor("red")
+        cross(f(z))
+def show(z):
+    init(0,0)
+    setColor("black")
+    cross(z)
+    setColor("red")
+    cross(myfunc(z))
+    mycircle(z,1.0, myfunc)
+@onMouseMoved
+def mouseMoved(x,y):
+    show(complex(x,y));
+makeGPanel(-6, 6, -6, 6)
+init(0,0)
+</code>