Merhabalar, bu yazımızda MPU6050 İvme ve Gyro sensör kartını kullanarak TeaPot uygulamasını yapacağız.

MPU6050 İvme ve Gyro Sensör Kartı

MPU6050, hava araçları, denge robotları, akıllı saat uygulamaları ve bir çok robot projesinde sıkça tercih edilen 3 eksenli gyro ve 3 eksenli ivme ölçer bulunduran 6 eksenli bir IMU( Inertial Measurement Unit) kartıdır.

İvme Ölçer

İvme ölçer Piezoelektrik etkisi ile çalışmaktadır. Piezoelektrik, malzemeler üzerine mekanik olarak bir kuvvet uygulanması sonucunda ortaya çıkan elektriktir. Sensör kuvvet olarak yer çekimini kullanarak değer verir.

Jiroskop

Jiroskop, dönen bir  çark, rotor ve eksenden oluşur. Eksen, rotor içinde dönebileceği bir çembere yataklanmış şekildedir. Çember de dik açı ile başka bir çembere bağlanmıştır. İç ve dış çemberle dik açı yapan bir çerçeveye kenetlenmiş şekilde bir de dış çemberi bulunur. Dönüş ekseni her hangi bir yönde olabilir. Jiroskopların dışındaki çerçeve dengeleme çemberi ile desteklenmiştir.

Arduino ile MPU6050 Nasıl Kullanılır?

MPU6050 I2C protokolüyle haberleşen bir IMU sensörüdür. İvme, açısal hız ve sıcaklık okuma için kullanılır. Arduino ile kullanabilmek için Arduino’nun I2C özelliğini kullanmamız gerekmektedir. Arduino Uno, Nano için A4 ve A5 pinlerini kullanabilirsiniz.

Processing

processing

Görsel, simülasyon ağırlıklı bir geliştirme ortamıdır. Veri görselleştirme alanında sıkça tercih edilir.

Processing programını indirmek için -> https://processing.org/download/

TEAPOT Uygulaması Malzemeler

teapot uygulamasi

  • Arduino Nano
  • MPU6050 İvme ve Gyro Sensör Kartı
  • Jumper Kablo
  • 3D Baskı ( STL Dosyası)

TEOPOT Uygulaması Devre Şeması

mpu6050 baglanti semasi

  • VCC -> 5V
  • GND -> GND
  • SCL -> A5
  • SDA -> A4
  • INT -> D2

TEOPOT Uygulaması Kodlar

Gerekli Kütüphaneler ( i2cdevlib-MPU6050 )

IDE -> Örnekler -> MPU6050_DMP6 örneğini açıyoruz. 100. satıra “//” ekliyoruz ve 117. satırdan “//” ‘ı kaldırıyoruz.

// I2C device class (I2Cdev) demonstration Arduino sketch for MPU6050 class using DMP (MotionApps v2.0)
// 6/21/2012 by Jeff Rowberg <jeff@rowberg.net>
// Updates should (hopefully) always be available at https://github.com/jrowberg/i2cdevlib
//
// Changelog:
// 2013-05-08 – added seamless Fastwire support
// – added note about gyro calibration
// 2012-06-21 – added note about Arduino 1.0.1 + Leonardo compatibility error
// 2012-06-20 – improved FIFO overflow handling and simplified read process
// 2012-06-19 – completely rearranged DMP initialization code and simplification
// 2012-06-13 – pull gyro and accel data from FIFO packet instead of reading directly
// 2012-06-09 – fix broken FIFO read sequence and change interrupt detection to RISING
// 2012-06-05 – add gravity-compensated initial reference frame acceleration output
// – add 3D math helper file to DMP6 example sketch
// – add Euler output and Yaw/Pitch/Roll output formats
// 2012-06-04 – remove accel offset clearing for better results (thanks Sungon Lee)
// 2012-06-01 – fixed gyro sensitivity to be 2000 deg/sec instead of 250
// 2012-05-30 – basic DMP initialization working
/* ============================================
I2Cdev device library code is placed under the MIT license
Copyright (c) 2012 Jeff Rowberg
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
===============================================
*/
// I2Cdev and MPU6050 must be installed as libraries, or else the .cpp/.h files
// for both classes must be in the include path of your project
#include "I2Cdev.h"
#include "MPU6050_6Axis_MotionApps20.h"
//#include "MPU6050.h" // not necessary if using MotionApps include file
// Arduino Wire library is required if I2Cdev I2CDEV_ARDUINO_WIRE implementation
// is used in I2Cdev.h
#if I2CDEV_IMPLEMENTATION == I2CDEV_ARDUINO_WIRE
#include "Wire.h"
#endif
// class default I2C address is 0x68
// specific I2C addresses may be passed as a parameter here
// AD0 low = 0x68 (default for SparkFun breakout and InvenSense evaluation board)
// AD0 high = 0x69
MPU6050 mpu;
//MPU6050 mpu(0x69); // <– use for AD0 high
/* =========================================================================
NOTE: In addition to connection 3.3v, GND, SDA, and SCL, this sketch
depends on the MPU-6050's INT pin being connected to the Arduino's
external interrupt #0 pin. On the Arduino Uno and Mega 2560, this is
digital I/O pin 2.
* ========================================================================= */
/* =========================================================================
NOTE: Arduino v1.0.1 with the Leonardo board generates a compile error
when using Serial.write(buf, len). The Teapot output uses this method.
The solution requires a modification to the Arduino USBAPI.h file, which
is fortunately simple, but annoying. This will be fixed in the next IDE
release. For more info, see these links:
http://arduino.cc/forum/index.php/topic,109987.0.html
http://code.google.com/p/arduino/issues/detail?id=958
* ========================================================================= */
// uncomment "OUTPUT_READABLE_QUATERNION" if you want to see the actual
// quaternion components in a [w, x, y, z] format (not best for parsing
// on a remote host such as Processing or something though)
//#define OUTPUT_READABLE_QUATERNION
// uncomment "OUTPUT_READABLE_EULER" if you want to see Euler angles
// (in degrees) calculated from the quaternions coming from the FIFO.
// Note that Euler angles suffer from gimbal lock (for more info, see
// http://en.wikipedia.org/wiki/Gimbal_lock)
//#define OUTPUT_READABLE_EULER
// uncomment "OUTPUT_READABLE_YAWPITCHROLL" if you want to see the yaw/
// pitch/roll angles (in degrees) calculated from the quaternions coming
// from the FIFO. Note this also requires gravity vector calculations.
// Also note that yaw/pitch/roll angles suffer from gimbal lock (for
// more info, see: http://en.wikipedia.org/wiki/Gimbal_lock)
//#define OUTPUT_READABLE_YAWPITCHROLL
// uncomment "OUTPUT_READABLE_REALACCEL" if you want to see acceleration
// components with gravity removed. This acceleration reference frame is
// not compensated for orientation, so +X is always +X according to the
// sensor, just without the effects of gravity. If you want acceleration
// compensated for orientation, us OUTPUT_READABLE_WORLDACCEL instead.
//#define OUTPUT_READABLE_REALACCEL
// uncomment "OUTPUT_READABLE_WORLDACCEL" if you want to see acceleration
// components with gravity removed and adjusted for the world frame of
// reference (yaw is relative to initial orientation, since no magnetometer
// is present in this case). Could be quite handy in some cases.
//#define OUTPUT_READABLE_WORLDACCEL
// uncomment "OUTPUT_TEAPOT" if you want output that matches the
// format used for the InvenSense teapot demo
#define OUTPUT_TEAPOT
#define INTERRUPT_PIN 2 // use pin 2 on Arduino Uno & most boards
#define LED_PIN 13 // (Arduino is 13, Teensy is 11, Teensy++ is 6)
bool blinkState = false;
// MPU control/status vars
bool dmpReady = false; // set true if DMP init was successful
uint8_t mpuIntStatus; // holds actual interrupt status byte from MPU
uint8_t devStatus; // return status after each device operation (0 = success, !0 = error)
uint16_t packetSize; // expected DMP packet size (default is 42 bytes)
uint16_t fifoCount; // count of all bytes currently in FIFO
uint8_t fifoBuffer[64]; // FIFO storage buffer
// orientation/motion vars
Quaternion q; // [w, x, y, z] quaternion container
VectorInt16 aa; // [x, y, z] accel sensor measurements
VectorInt16 aaReal; // [x, y, z] gravity-free accel sensor measurements
VectorInt16 aaWorld; // [x, y, z] world-frame accel sensor measurements
VectorFloat gravity; // [x, y, z] gravity vector
float euler[3]; // [psi, theta, phi] Euler angle container
float ypr[3]; // [yaw, pitch, roll] yaw/pitch/roll container and gravity vector
// packet structure for InvenSense teapot demo
uint8_t teapotPacket[14] = { '$', 0x02, 0,0, 0,0, 0,0, 0,0, 0x00, 0x00, '\r', '\n' };
// ================================================================
// === INTERRUPT DETECTION ROUTINE ===
// ================================================================
volatile bool mpuInterrupt = false; // indicates whether MPU interrupt pin has gone high
void dmpDataReady() {
mpuInterrupt = true;
}
// ================================================================
// === INITIAL SETUP ===
// ================================================================
void setup() {
// join I2C bus (I2Cdev library doesn't do this automatically)
#if I2CDEV_IMPLEMENTATION == I2CDEV_ARDUINO_WIRE
Wire.begin();
Wire.setClock(400000); // 400kHz I2C clock. Comment this line if having compilation difficulties
#elif I2CDEV_IMPLEMENTATION == I2CDEV_BUILTIN_FASTWIRE
Fastwire::setup(400, true);
#endif
// initialize serial communication
// (115200 chosen because it is required for Teapot Demo output, but it's
// really up to you depending on your project)
Serial.begin(115200);
while (!Serial); // wait for Leonardo enumeration, others continue immediately
// NOTE: 8MHz or slower host processors, like the Teensy @ 3.3v or Ardunio
// Pro Mini running at 3.3v, cannot handle this baud rate reliably due to
// the baud timing being too misaligned with processor ticks. You must use
// 38400 or slower in these cases, or use some kind of external separate
// crystal solution for the UART timer.
// initialize device
Serial.println(F("Initializing I2C devices…"));
mpu.initialize();
pinMode(INTERRUPT_PIN, INPUT);
// verify connection
Serial.println(F("Testing device connections…"));
Serial.println(mpu.testConnection() ? F("MPU6050 connection successful") : F("MPU6050 connection failed"));
// wait for ready
Serial.println(F("\nSend any character to begin DMP programming and demo: "));
while (Serial.available() && Serial.read()); // empty buffer
while (!Serial.available()); // wait for data
while (Serial.available() && Serial.read()); // empty buffer again
// load and configure the DMP
Serial.println(F("Initializing DMP…"));
devStatus = mpu.dmpInitialize();
// supply your own gyro offsets here, scaled for min sensitivity
mpu.setXGyroOffset(220);
mpu.setYGyroOffset(76);
mpu.setZGyroOffset(-85);
mpu.setZAccelOffset(1788); // 1688 factory default for my test chip
// make sure it worked (returns 0 if so)
if (devStatus == 0) {
// turn on the DMP, now that it's ready
Serial.println(F("Enabling DMP…"));
mpu.setDMPEnabled(true);
// enable Arduino interrupt detection
Serial.println(F("Enabling interrupt detection (Arduino external interrupt 0)…"));
attachInterrupt(digitalPinToInterrupt(INTERRUPT_PIN), dmpDataReady, RISING);
mpuIntStatus = mpu.getIntStatus();
// set our DMP Ready flag so the main loop() function knows it's okay to use it
Serial.println(F("DMP ready! Waiting for first interrupt…"));
dmpReady = true;
// get expected DMP packet size for later comparison
packetSize = mpu.dmpGetFIFOPacketSize();
} else {
// ERROR!
// 1 = initial memory load failed
// 2 = DMP configuration updates failed
// (if it's going to break, usually the code will be 1)
Serial.print(F("DMP Initialization failed (code "));
Serial.print(devStatus);
Serial.println(F(")"));
}
// configure LED for output
pinMode(LED_PIN, OUTPUT);
}
// ================================================================
// === MAIN PROGRAM LOOP ===
// ================================================================
void loop() {
// if programming failed, don't try to do anything
if (!dmpReady) return;
// wait for MPU interrupt or extra packet(s) available
while (!mpuInterrupt && fifoCount < packetSize) {
// other program behavior stuff here
// .
// .
// .
// if you are really paranoid you can frequently test in between other
// stuff to see if mpuInterrupt is true, and if so, "break;" from the
// while() loop to immediately process the MPU data
// .
// .
// .
}
// reset interrupt flag and get INT_STATUS byte
mpuInterrupt = false;
mpuIntStatus = mpu.getIntStatus();
// get current FIFO count
fifoCount = mpu.getFIFOCount();
// check for overflow (this should never happen unless our code is too inefficient)
if ((mpuIntStatus & 0x10) || fifoCount == 1024) {
// reset so we can continue cleanly
mpu.resetFIFO();
Serial.println(F("FIFO overflow!"));
// otherwise, check for DMP data ready interrupt (this should happen frequently)
} else if (mpuIntStatus & 0x02) {
// wait for correct available data length, should be a VERY short wait
while (fifoCount < packetSize) fifoCount = mpu.getFIFOCount();
// read a packet from FIFO
mpu.getFIFOBytes(fifoBuffer, packetSize);
// track FIFO count here in case there is > 1 packet available
// (this lets us immediately read more without waiting for an interrupt)
fifoCount -= packetSize;
#ifdef OUTPUT_READABLE_QUATERNION
// display quaternion values in easy matrix form: w x y z
mpu.dmpGetQuaternion(&q, fifoBuffer);
Serial.print("quat\t");
Serial.print(q.w);
Serial.print("\t");
Serial.print(q.x);
Serial.print("\t");
Serial.print(q.y);
Serial.print("\t");
Serial.println(q.z);
#endif
#ifdef OUTPUT_READABLE_EULER
// display Euler angles in degrees
mpu.dmpGetQuaternion(&q, fifoBuffer);
mpu.dmpGetEuler(euler, &q);
Serial.print("euler\t");
Serial.print(euler[0] * 180/M_PI);
Serial.print("\t");
Serial.print(euler[1] * 180/M_PI);
Serial.print("\t");
Serial.println(euler[2] * 180/M_PI);
#endif
#ifdef OUTPUT_READABLE_YAWPITCHROLL
// display Euler angles in degrees
mpu.dmpGetQuaternion(&q, fifoBuffer);
mpu.dmpGetGravity(&gravity, &q);
mpu.dmpGetYawPitchRoll(ypr, &q, &gravity);
Serial.print("ypr\t");
Serial.print(ypr[0] * 180/M_PI);
Serial.print("\t");
Serial.print(ypr[1] * 180/M_PI);
Serial.print("\t");
Serial.println(ypr[2] * 180/M_PI);
#endif
#ifdef OUTPUT_READABLE_REALACCEL
// display real acceleration, adjusted to remove gravity
mpu.dmpGetQuaternion(&q, fifoBuffer);
mpu.dmpGetAccel(&aa, fifoBuffer);
mpu.dmpGetGravity(&gravity, &q);
mpu.dmpGetLinearAccel(&aaReal, &aa, &gravity);
Serial.print("areal\t");
Serial.print(aaReal.x);
Serial.print("\t");
Serial.print(aaReal.y);
Serial.print("\t");
Serial.println(aaReal.z);
#endif
#ifdef OUTPUT_READABLE_WORLDACCEL
// display initial world-frame acceleration, adjusted to remove gravity
// and rotated based on known orientation from quaternion
mpu.dmpGetQuaternion(&q, fifoBuffer);
mpu.dmpGetAccel(&aa, fifoBuffer);
mpu.dmpGetGravity(&gravity, &q);
mpu.dmpGetLinearAccel(&aaReal, &aa, &gravity);
mpu.dmpGetLinearAccelInWorld(&aaWorld, &aaReal, &q);
Serial.print("aworld\t");
Serial.print(aaWorld.x);
Serial.print("\t");
Serial.print(aaWorld.y);
Serial.print("\t");
Serial.println(aaWorld.z);
#endif
#ifdef OUTPUT_TEAPOT
// display quaternion values in InvenSense Teapot demo format:
teapotPacket[2] = fifoBuffer[0];
teapotPacket[3] = fifoBuffer[1];
teapotPacket[4] = fifoBuffer[4];
teapotPacket[5] = fifoBuffer[5];
teapotPacket[6] = fifoBuffer[8];
teapotPacket[7] = fifoBuffer[9];
teapotPacket[8] = fifoBuffer[12];
teapotPacket[9] = fifoBuffer[13];
Serial.write(teapotPacket, 14);
teapotPacket[11]++; // packetCount, loops at 0xFF on purpose
#endif
// blink LED to indicate activity
blinkState = !blinkState;
digitalWrite(LED_PIN, blinkState);
}
}
view raw mpu-teapot-uygulamasi.ino hosted with ❤ by GitHub

Processing TeaPot Uygulaması Kodları

MPU6050 Kütüphanesi -> Örnekler -> MPU6050_DMP6 -> Proccessing örneğini açıyoruz. 71.Satıra “//” ekliyoruz. 74. satıra kendi com adresinizi yazıyorsunuz. “COM4”

// I2C device class (I2Cdev) demonstration Processing sketch for MPU6050 DMP output
// 6/20/2012 by Jeff Rowberg <jeff@rowberg.net>
// Updates should (hopefully) always be available at https://github.com/jrowberg/i2cdevlib
//
// Changelog:
//     2012-06-20 - initial release
/* ============================================
I2Cdev device library code is placed under the MIT license
Copyright (c) 2012 Jeff Rowberg
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
===============================================
*/
import processing.serial.*;
import processing.opengl.*;
import toxi.geom.*;
import toxi.processing.*;
// NOTE: requires ToxicLibs to be installed in order to run properly.
// 1. Download from http://toxiclibs.org/downloads
// 2. Extract into [userdir]/Processing/libraries
//    (location may be different on Mac/Linux)
// 3. Run and bask in awesomeness
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 = "COM3";
// 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();
// draw wings and tail fin in green
fill(0, 255, 0, 200);
beginShape(TRIANGLES);
vertex(-100,  2, 30); vertex(0,  2, -80); vertex(100,  2, 30);  // wing top layer
vertex(-100, -2, 30); vertex(0, -2, -80); vertex(100, -2, 30);  // wing bottom layer
vertex(-2, 0, 98); vertex(-2, -30, 98); vertex(-2, 0, 70);  // tail left layer
vertex( 2, 0, 98); vertex( 2, -30, 98); vertex( 2, 0, 70);  // tail right layer
endShape();
beginShape(QUADS);
vertex(-100, 2, 30); vertex(-100, -2, 30); vertex(  0, -2, -80); vertex(  0, 2, -80);
vertex( 100, 2, 30); vertex( 100, -2, 30); vertex(  0, -2, -80); vertex(  0, 2, -80);
vertex(-100, 2, 30); vertex(-100, -2, 30); vertex(100, -2,  30); vertex(100, 2,  30);
vertex(-2,   0, 98); vertex(2,   0, 98); vertex(2, -30, 98); vertex(-2, -30, 98);
vertex(-2,   0, 98); vertex(2,   0, 98); vertex(2,   0, 70); vertex(-2,   0, 70);
vertex(-2, -30, 98); vertex(2, -30, 98); vertex(2,   0, 70); vertex(-2,   0, 70);
endShape();
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();
}
}

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