Как сместить центр вращения вниз

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Iseult
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Зарегистрирован: 04.01.2015

Разбираю пример, и хотелось бы сместить центр вращения из середины вниз, чтобы палка вращалась не из середины, а со своего конца - синего конуса. 
Данные передаются с гироскопа MPU 6050. 
Подскажите, как подправить. Заранее спасибо 

import processing.serial.*;
import processing.opengl.*;
import toxi.geom.*;
import toxi.processing.*;
 
ToxiclibsSupport gfx;
 
Serial port;                         // The serial port
char[] teapotPacket = new char[14];  // InvenSense Teapot packet
int serialCount = 0;                 // current packet byte position
int synced = 0;
int interval = 0;
 
float[] q = new float[4];
Quaternion quat = new Quaternion(1, 0, 0, 0);
 
float[] gravity = new float[3];
float[] euler = new float[3];
float[] ypr = new float[3];
 
void setup() {
    // 300px square viewport using OpenGL rendering
    size(300, 300, OPENGL);
    gfx = new ToxiclibsSupport(this);
 
    // setup lights and antialiasing
    lights();
    smooth();
  
    // display serial port list for debugging/clarity
    println(Serial.list());
 
    // get the first available port (use EITHER this OR the specific port code below)
    String portName = Serial.list()[0];
    
    // get a specific serial port (use EITHER this OR the first-available code above)
    //String portName = "COM4";
    
    // open the serial port
    port = new Serial(this, portName, 115200);
    
    // send single character to trigger DMP init/start
    // (expected by MPU6050_DMP6 example Arduino sketch)
    port.write('r');
}
 
void draw() {
    if (millis() - interval > 1000) {
        // resend single character to trigger DMP init/start
        // in case the MPU is halted/reset while applet is running
        port.write('r');
        interval = millis();
    }
    
    // black background
    background(0);
    
    // translate everything to the middle of the viewport
   // pushMatrix();
    translate(width / 2, height / 2);
 
    // 3-step rotation from yaw/pitch/roll angles (gimbal lock!)
    // ...and other weirdness I haven't figured out yet
    //rotateY(-ypr[0]);
    //rotateZ(-ypr[1]);
    //rotateX(-ypr[2]);
 
    // toxiclibs direct angle/axis rotation from quaternion (NO gimbal lock!)
    // (axis order [1, 3, 2] and inversion [-1, +1, +1] is a consequence of
    // different coordinate system orientation assumptions between Processing
    // and InvenSense DMP)
    float[] axis = quat.toAxisAngle();
    rotate(axis[0], -axis[1], axis[3], axis[2]);
 
    // draw main body in red
    fill(255, 0, 0, 200);
    box(10, 10, 200);
    
    // draw front-facing tip in blue
    fill(0, 0, 255, 200);
    pushMatrix();
    translate(0, 0, -120);
    rotateX(PI/2);
    drawCylinder(0, 20, 20, 8);
    popMatrix();
}
 
void serialEvent(Serial port) {
    interval = millis();
    while (port.available() > 0) {
        int ch = port.read();
 
        if (synced == 0 && ch != '$') return;   // initial synchronization - also used to resync/realign if needed
        synced = 1;
        print ((char)ch);
 
        if ((serialCount == 1 && ch != 2)
            || (serialCount == 12 && ch != '\r')
            || (serialCount == 13 && ch != '\n'))  {
            serialCount = 0;
            synced = 0;
            return;
        }
 
        if (serialCount > 0 || ch == '$') {
            teapotPacket[serialCount++] = (char)ch;
            if (serialCount == 14) {
                serialCount = 0; // restart packet byte position
                
                // get quaternion from data packet
                q[0] = ((teapotPacket[2] << 8) | teapotPacket[3]) / 16384.0f;
                q[1] = ((teapotPacket[4] << 8) | teapotPacket[5]) / 16384.0f;
                q[2] = ((teapotPacket[6] << 8) | teapotPacket[7]) / 16384.0f;
                q[3] = ((teapotPacket[8] << 8) | teapotPacket[9]) / 16384.0f;
                for (int i = 0; i < 4; i++) if (q[i] >= 2) q[i] = -4 + q[i];
                
                // set our toxilibs quaternion to new data
                quat.set(q[0], q[1], q[2], q[3]);
 
                /*
                // below calculations unnecessary for orientation only using toxilibs
                
                // calculate gravity vector
                gravity[0] = 2 * (q[1]*q[3] - q[0]*q[2]);
                gravity[1] = 2 * (q[0]*q[1] + q[2]*q[3]);
                gravity[2] = q[0]*q[0] - q[1]*q[1] - q[2]*q[2] + q[3]*q[3];
    
                // calculate Euler angles
                euler[0] = atan2(2*q[1]*q[2] - 2*q[0]*q[3], 2*q[0]*q[0] + 2*q[1]*q[1] - 1);
                euler[1] = -asin(2*q[1]*q[3] + 2*q[0]*q[2]);
                euler[2] = atan2(2*q[2]*q[3] - 2*q[0]*q[1], 2*q[0]*q[0] + 2*q[3]*q[3] - 1);
    
                // calculate yaw/pitch/roll angles
                ypr[0] = atan2(2*q[1]*q[2] - 2*q[0]*q[3], 2*q[0]*q[0] + 2*q[1]*q[1] - 1);
                ypr[1] = atan(gravity[0] / sqrt(gravity[1]*gravity[1] + gravity[2]*gravity[2]));
                ypr[2] = atan(gravity[1] / sqrt(gravity[0]*gravity[0] + gravity[2]*gravity[2]));
    
                // output various components for debugging
                //println("q:\t" + round(q[0]*100.0f)/100.0f + "\t" + round(q[1]*100.0f)/100.0f + "\t" + round(q[2]*100.0f)/100.0f + "\t" + round(q[3]*100.0f)/100.0f);
                //println("euler:\t" + euler[0]*180.0f/PI + "\t" + euler[1]*180.0f/PI + "\t" + euler[2]*180.0f/PI);
                //println("ypr:\t" + ypr[0]*180.0f/PI + "\t" + ypr[1]*180.0f/PI + "\t" + ypr[2]*180.0f/PI);
                */
            }
        }
    }
}
 
void drawCylinder(float topRadius, float bottomRadius, float tall, int sides) {
    float angle = 0;
    float angleIncrement = TWO_PI / sides;
    beginShape(QUAD_STRIP);
    for (int i = 0; i < sides + 1; ++i) {
        vertex(topRadius*cos(angle), 0, topRadius*sin(angle));
        vertex(bottomRadius*cos(angle), tall, bottomRadius*sin(angle));
        angle += angleIncrement;
    }
    endShape();
    
    // If it is not a cone, draw the circular top cap
    if (topRadius != 0) {
        angle = 0;
        beginShape(TRIANGLE_FAN);
        
        // Center point
        vertex(0, 0, 0);
        for (int i = 0; i < sides + 1; i++) {
            vertex(topRadius * cos(angle), 0, topRadius * sin(angle));
            angle += angleIncrement;
        }
        endShape();
    }
  
    // If it is not a cone, draw the circular bottom cap
    if (bottomRadius != 0) {
        angle = 0;
        beginShape(TRIANGLE_FAN);
    
        // Center point
        vertex(0, tall, 0);
        for (int i = 0; i < sides + 1; i++) {
            vertex(bottomRadius * cos(angle), tall, bottomRadius * sin(angle));
            angle += angleIncrement;
        }
        endShape();
    }
}