#! /usr/bin/env python
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import sys
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from typing import Final
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from math import pi, cos
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import turtle
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amplitude: Final[tuple[float, float]] = (1, 1)
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# frequent
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omega: Final[tuple[float, float]] = (3, 11)
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# phase
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phi: Final[tuple[float, float]] = (pi/2, 3*pi/4)
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# Diskretisieren
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N: Final[int] = 360
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step: Final = (2*pi) / N
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T: Final = [k * step for k in range(N)]
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points = [(
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amplitude[0] * cos(omega[0]*t + phi[0]),
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amplitude[1] * cos(omega[1]*t + phi[1])
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) for t in T
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]
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# Plot with turtle
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(canvaswidth, canvasheight) = turtle.screensize()
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point_size = 1.5
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turtle.setup(width=canvaswidth + 5*point_size, height=canvaswidth + 5*point_size)
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# scale up
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x_factor = (canvaswidth / 2) / amplitude[0]
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y_factor = (canvasheight / 2) / amplitude[1]
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print(x_factor, y_factor)
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# as fast as possible
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turtle.speed(0)
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turtle.penup()
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turtle.pensize(point_size)
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for p in points:
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x = x_factor * p[0]
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y = y_factor * p[1]
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#turtle.teleport(x, y)
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#turtle.dot(point_size)
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turtle.goto(x, y)
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turtle.pendown()
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p0 = points[0]
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turtle.goto(x_factor * p0[0], y_factor * p0[1])
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write_to_file = False
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if write_to_file:
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output_dir = "../../2024/python-output"
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image_filename = f"{output_dir}/{sys.argv[0].replace('.py','.eps')}"
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print(f"save file to {image_filename}")
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canvas_screen = turtle.getscreen().getcanvas()
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canvas_screen.postscript(file=image_filename)
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turtle.done()
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