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Hier ein kleines Programm, das Pitch, Roll und Yaw graphisch darstellt, natürlich mit den neuen Formeln, die die Winkel unabhängig voneinander machen. Man kann wählen, welche Seite des IMU-Bricks "vorn" ist.

#!/usr/bin/env python
# -*- coding: utf-8 -*-
#
# IMU demo by Plenz 12.06.2012 - public domain

from Tkinter import *

from tinkerforge.ip_connection import IPConnection
from tinkerforge.brick_imu import IMU

import math
import time
import threading


class TF:
    HOST = "localhost"
    PORT = 4223
    UID_IMU = "9yEBJGvcxtQ"                 # IMU Brick

    def __init__(self):
        self.base_x = 0.0
        self.base_y = 0.0
        self.base_z = 0.0
        self.base_w = 0.0

        self.imu = IMU(self.UID_IMU)                    # Create device object
        self.ipcon = IPConnection(self.HOST, self.PORT) # Create IPconnection to brickd
        self.ipcon.add_device(self.imu)                 # Add device to IP connection
        self.imu.set_convergence_speed(30)

        # Wait for IMU to settle
        print 'Set IMU to base position and wait for 10 seconds'
        print 'Base position will be 0 for all angles'
        time.sleep(10)
        self.set_base_coordinates()
        self.imu.set_quaternion_period(200)


    def quaternion_cb(self, x, y, z, w):
        # Use conjugate of quaternion to rotate coordinates according to base system
        x, y, z, w = self.make_relative_coordinates(-x, -y, -z, w)

        pi = math.atan2(2.0*(y*z - w*x), 1.0 - 2.0*(x*x + y*y))
        ro = math.atan2(2.0*(x*z + w*y), 1.0 - 2.0*(x*x + y*y))
        ya = math.atan2(2.0*(x*y + w*z), 1.0 - 2.0*(x*x + z*z))

        di = app.dir.get()
        if di == 0:
            pi = -pi
        if di == 1:
            pi, ro = -ro, -pi
        if di == 2:
            ro = -ro
        if di == 3:
            pi, ro = ro, pi

        self.pi = pi
        self.ro = ro
        self.ya = ya


    def set_base_coordinates(self):
        q = self.imu.get_quaternion()
        self.base_x = q.x
        self.base_y = q.y
        self.base_z = q.z
        self.base_w = q.w


    def make_relative_coordinates(self, x, y, z, w):
        # Multiply base quaternion with current quaternion
        return (
            w * self.base_x + x * self.base_w + y * self.base_z - z * self.base_y,
            w * self.base_y - x * self.base_z + y * self.base_w + z * self.base_x,
            w * self.base_z + x * self.base_y - y * self.base_x + z * self.base_w,
            w * self.base_w - x * self.base_x - y * self.base_y - z * self.base_z
        )


class App:
    def __init__(self, master):
        root.geometry("200x300+30+30")
        frame = Frame(master)
        frame.place(x=1, y=1, width=199, height=299)

        self.button = Button(frame, text="Reset", command=tf.set_base_coordinates)
        self.button.place(x=5, y=5, width=90, height=25)

        self.button = Button(frame, text="QUIT", command=self.ende)
        self.button.place(x=102, y=5, width=90, height=25)

        self.message_pit = Label(frame, width=10, text="pitch")
        self.message_pit.place(x=13, y=35, width=50, height=20)
        self.message_rol = Label(frame, width=10, text="roll")
        self.message_rol.place(x=73, y=35, width=50, height=20)
        self.message_yaw = Label(frame, width=10, text="yaw")
        self.message_yaw.place(x=133, y=35, width=50, height=20)

        self.rpy_canvas = Canvas(frame, width=190, height=64, relief=SUNKEN, borderwidth=1)
        self.rpy_canvas.place(x=3, y=55, width=190, height=70)

        self.message_dir = Label(frame, width=10, text="Direction:")
        self.message_dir.place(x=75, y=130, width=50, height=20)

        self.imu_canvas = Canvas(frame, width=100, height=100, relief=SUNKEN, borderwidth=1)
        self.imu_canvas.place(x=50, y=170, width=100, height=100)
        self.imu_canvas.create_rectangle(0, 0, 100, 100, fill="#333333")
        self.imu_canvas.create_rectangle(0, 30, 15, 70, fill="#EEEEEE")
        self.imu_canvas.create_rectangle(85, 30, 100, 70, fill="#EEEEEE")
        self.imu_canvas.create_rectangle(40, 75, 60, 100, fill="#CCCCFF")
        self.imu_canvas.create_oval(20, 5, 44, 29, fill="#FFFFFF")
        self.imu_canvas.create_oval(27, 12, 37, 22, fill="#333333")
        self.imu_canvas.create_rectangle(54, 7, 62, 27, outline="#FFFFFF", width=2)
        self.imu_canvas.create_rectangle(54, 19, 74, 27, outline="#FFFFFF", width=2)

        self.dir = IntVar()
        self.dir1 = Radiobutton(frame, text="", variable=self.dir, value="0")
        self.dir1.place(x=90, y=150)
        self.dir2 = Radiobutton(frame, text="", variable=self.dir, value="1")
        self.dir2.place(x=155, y=210)
        self.dir3 = Radiobutton(frame, text="", variable=self.dir, value="2")
        self.dir3.place(x=90, y=275)
        self.dir4 = Radiobutton(frame, text="", variable=self.dir, value="3")
        self.dir4.place(x=25, y=210)
        self.dir1.select()



    def circ(self, nu, wi):
        rax = 10
        ray = 9
        ofx = 25 + rax
        ofy = 25 + ray
        ax = rax + nu * 60
        ex = ax + 50
        dr = math.pi * 30 /180
        self.rpy_canvas.create_oval(ax, ray, ex, ray + 50, fill="yellow")
        ax = math.cos(wi) * -25 + nu * 60 + ofx
        ay = math.sin(wi) * 25 + ofy
        ex = math.cos(wi) * 25 + nu * 60 + ofx
        ey = math.sin(wi) * -25 + ofy
        if nu == 0:
            self.rpy_canvas.create_line(ax, ay, ex, ey, fill="red", width=4)
            bx = math.cos(wi + dr) * -15 + ofx
            by = math.sin(wi + dr) *  15 + ofy
            cx = math.cos(wi - dr) * -15 + ofx
            cy = math.sin(wi - dr) *  15 + ofy
            points = [ax, ay, bx, by, cx, cy]
            self.rpy_canvas.create_polygon(points, outline="red", fill="red")
        if nu == 1:
            cx = nu * 60 + ofx
            cy = ofy
            self.rpy_canvas.create_line(ax, ay, cx, cy, fill="red", width=4)
            self.rpy_canvas.create_line(cx, cy, ex, ey, fill="green", width=4)
        if nu == 2:
            self.rpy_canvas.create_line(ax, ay, ex, ey, fill="black", width=4)
            ax = math.sin(-wi) * -25 + nu * 60 + ofx
            ay = math.cos(-wi) * 25 + ofy
            ex = math.sin(-wi) * 25 + nu * 60 + ofx
            ey = math.cos(-wi) * -25 + ofy
            self.rpy_canvas.create_line(ax, ay, ex, ey, fill="red", width=4)
            bx = math.sin(-wi + dr) * -15 + ofx + nu * 60
            by = math.cos(-wi + dr) * 15 + ofy
            cx = math.sin(-wi - dr) * -15 + ofx + nu * 60
            cy = math.cos(-wi - dr) * 15 + ofy
            points = [ax, ay, bx, by, cx, cy]
            self.rpy_canvas.create_polygon(points, outline="red", fill="red")


    def ShowAngle(self):
        self.rpy_canvas.create_rectangle(0, 0, 190, 70, fill="#DDDDDD")
        pi = int(-tf.pi * 180 / math.pi + .5)
        ro = int(-tf.ro * 180 / math.pi + .5)
        ya = int(tf.ya * 180 / math.pi + .5)
        self.message_pit.config(text = "pitch " + str(pi) + "°")
        self.message_rol.config(text = "roll " + str(ro) + "°")
        self.message_yaw.config(text = "yaw " + str(ya) + "°")

        ya = tf.ya
        if ya < math.pi:
            ya = ya + math.pi
        else:
            ya = ya - math.pi
        ya = -ya
        
        self.circ(0, tf.pi)
        self.circ(1, tf.ro)
        self.circ(2, ya)
        if tf.term == 0:     # nicht mehr ausführen nach QUIT
            timer1 = threading.Timer(0.25, self.ShowAngle)
            timer1.start()
        else:
            tf.term = 2      # länger warten nach QUIT


    def ende(self):
        print "   === waiting for callbacks..."
        tf.imu.set_quaternion_period(0)
        tf.term = 2
        while tf.term > 1:
            tf.term = 1
            time.sleep(0.5)
        tf.ipcon.destroy()
        print "IP destroyed."
        root.destroy()



if __name__ == "__main__":
    tf   = TF()
    root = Tk()
    app  = App(root)
    root.title(" IMU Viewer by Plenz")
    root.resizable(0,0)
    # Register quaternion callback
    tf.imu.register_callback(tf.imu.CALLBACK_QUATERNION, tf.quaternion_cb)
    tf.term = 0
    timer1 = threading.Timer(0.25, app.ShowAngle)
    timer1.start()
    root.mainloop()

IMU-Demo.png.1a08722bf1ee38af654aa03d73cedee0.png

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