start refactoring in python

harmonograph.py

@@ -0,0 +1,116 @@
+"""
+    https://en.wikipedia.org/wiki/Ellipse#General_parametric_form
+"""
+
+import numpy as np
+import matplotlib.pyplot as plt
+
+
+class Pendel():
+    def __init__(self, a: float, b: float, omega: float, phi: float, delta: float, tau: float, sub: int = 0):
+        self.a = a
+        self.b = b
+        self.omega = omega
+        self.phi = phi
+        self.delta = delta
+        self.tau = tau
+        self._sub = sub
+
+    def point(self, t: float):
+        x = (self.a * np.cos(t*self.omega + self.delta)*np.cos(t*self.phi)
+             - self.b*np.sin(t*self.omega + self.delta)*np.sin(t*self.phi))
+        y = (self.a * np.cos(t*self.omega + self.delta)*np.sin(t*self.phi)
+             + self.b*np.sin(t*self.omega + self.delta)*np.cos(t*self.phi))
+        return np.exp(-t*self.tau)*np.array([x, y])
+
+    def __repr__(self):
+        SUB = str.maketrans("0123456789", "₀₁₂₃₄₅₆₇₈₉")
+        sub = f"{self._sub}".translate(SUB)
+        return f"A{sub}={self.a}, B{sub}={self.b}, ω{sub}={self.omega}, Φ{sub}={self.phi}, δ{sub}={self.delta}, τ{sub}={self.tau}"
+
+    def update(self, **kwargs):
+        for key, val in kwargs.items():
+            if hasattr(self, key):
+                setattr(self, key, val)
+            else:
+                raise ValueError(f'{self.__name__} object has no attribute {key}')
+
+
+class DoppelPendel():
+    def __init__(self, kwargs1, kwargs2):
+        self.stift = Pendel(**kwargs1, sub=1)
+        self.tisch = Pendel(**kwargs2, sub=2)
+
+    def point(self, t):
+        return self.stift.point(t)+self.tisch.point(t)
+
+    def update_stift(self, **kwargs):
+        self.stift.update(**kwargs)
+
+    def update_tisch(self, **kwargs):
+        self.tisch.update(**kwargs)
+
+    def __repr__(self):
+        return str(self.stift) + "\n" + str(self.tisch)
+
+
+class Harmonograph(DoppelPendel):
+    def __init__(self, kwargs1, kwargs2, t_init, n=10000):
+        super().__init__(kwargs1, kwargs2)
+        self.n = n
+        self.t = t_init
+        self.fig, self.ax = plt.subplots()
+
+        self.ax.set_xlim(-2, 2)
+        self.ax.set_ylim(-2, 2)
+        self.ax.set_aspect('equal')
+        self.ax.axis('off')
+
+        self.init_harmonograph()
+
+        # self.label = self.ax.text(0, -2, str(self),
+        #                           horizontalalignment='center',
+        #                           verticalalignment='bottom',)
+
+    def init_harmonograph(self):
+        t = np.linspace(0, self.t, self.n)
+        self.ax.plot(*self.point(t), 'k', lw=0.5)
+
+
+if __name__ == "__main__":
+
+    # kw1 = dict(
+    #     a=1,
+    #     b=1,
+    #     omega=np.pi/60,
+    #     phi=np.pi/180,
+    #     delta=np.pi/2,
+    #     tau=0
+    # )
+    # kw2 = dict(
+    #     a=0.2,
+    #     b=1,
+    #     omega=0.1204277183860873,
+    #     phi=np.pi/90,
+    #     delta=0,
+    #     tau=0
+    # )
+    kw1 = dict(
+        a=1,
+        b=0.3,
+        omega=0.05,
+        phi=2.5e-4,
+        delta=0,
+        tau=5e-7
+    )
+    kw2 = dict(
+        a=0.5,
+        b=0,
+        omega=1/10,
+        phi=5e-5,
+        delta=0,
+        tau=5e-5
+    )
+    p1 = Harmonograph(kw1, kw2, 7000)
+
+    plt.show()