Dependencies:   MODSERIAL biquadFilter mbed

Fork of Kinematics by Ramon Waninge

Revision:
23:062c9867738c
Parent:
22:31ec06a15ea5
diff -r 31ec06a15ea5 -r 062c9867738c main.cpp
--- a/main.cpp	Wed Oct 31 20:59:43 2018 +0000
+++ b/main.cpp	Thu Nov 01 08:38:51 2018 +0000
@@ -2,6 +2,7 @@
 #include <math.h>
 #include <cmath>
 #include "MODSERIAL.h"
+#include <stdio.h>
 #define PI 3.14159265
 
 MODSERIAL pc(USBTX, USBRX);  // connecting to pc
@@ -12,6 +13,7 @@
 
 // nog te verwijderen/ aan te passen, zijn dubbel gedefinieerd
 
+
 //Joe dit zijn de inputsignalen (en tussenvariabelen)
 //vorige theta
 float theta1 = PI*0.49;                  // huidige/nieuwe theta
@@ -26,11 +28,11 @@
 float prefy;
 float deltat = 0.01;
 //Joe dit zijn de constantes
-float ll = 230;
-float lu = 198;
-float lb = 50;
+float ll = 200.0;
+float lu = 170.0;
+float lb = 10.0;
 float le = 79.0;
-float xbase = 450-lb;
+float xbase = 340;
 
 
 //forward kinematics, Check mathematica! Omdat mbed in paniek raakt met meerdere wortels, hebben we de vergelijking opgedeeld in 3 stukken
@@ -87,111 +89,96 @@
 
 //Hieronder rekenen we eerst de aparte dingen van de jacobiaan uit. (sla maar over)
 
-    jacobiana = (500*(-(ll*(sin(theta1) - sin(0.001 - theta4)))/2. - ((-(xbase/ll) + cos(theta1) + cos(0.001 - theta4))*
-                      sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
-                      sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)) +
-                      ((-xbase + ll*(cos(theta1) + cos(0.001 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
-                      (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2))) + (ll*(sin(theta1) + sin(0.001 + theta4)))/2.))/
-                (250000*((lb + xbase + ll*(cos(0.001 + theta1) - cos(theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(0.001 + theta1) + sin(theta4)))/
-                          sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2)))/2. +
-                         (-lb - xbase - ll*(cos(0.001 - theta1) - cos(theta4)) - (2*(sin(0.001 - theta1) + sin(theta4))*
-                                 sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
-                          sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/2.)*
-                 (-(ll*(sin(theta1) - sin(0.001 - theta4)))/2. - ((-(xbase/ll) + cos(theta1) + cos(0.001 - theta4))*
-                         sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
-                  sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)) +
-                  ((-xbase + ll*(cos(theta1) + cos(0.001 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
-                  (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2))) + (ll*(sin(theta1) + sin(0.001 + theta4)))/2.) -
-                 250000*(((-xbase + ll*(cos(0.001 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
-                         (ll*sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2))) - (ll*(-sin(0.001 - theta1) + sin(theta4)))/2. + (ll*(sin(0.001 + theta1) + sin(theta4)))/2. -
-                         ((-xbase + ll*(cos(0.001 - theta1) + cos(theta4)))*sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
-                         (ll*sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2))))*
-                 ((-lb - xbase - ll*(cos(theta1) - cos(0.001 - theta4)) + (2*(sin(theta1) + sin(0.001 - theta4))*
-                         sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
-                   sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/2. +
-                  (lb + xbase + ll*(cos(theta1) - cos(0.001 + theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(theta1) + sin(0.001 + theta4)))/
-                   sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2)))/2.));
+    jacobiana = (500*(-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+          sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + 
+       ((-xbase + ll*(cos(theta1) + cos(0.002 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.002 + theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+        (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + (ll*(sin(theta1) + sin(0.002 + theta4)))/2.))/
+   (-125000*(-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+           sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) + 
+        ((-xbase + ll*(cos(0.002 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.002 + theta1) + cos(theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+         (ll*sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + (ll*(sin(0.002 + theta1) + sin(theta4)))/2.)*
+      (ll*(-cos(theta1) + cos(theta4)) + ll*(cos(theta1) - cos(0.002 + theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+           (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) + 
+        (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(0.002 + theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(theta1) + sin(0.002 + theta4)))/
+         sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + 
+     125000*(ll*(cos(0.002 + theta1) - cos(theta4)) + ll*(-cos(theta1) + cos(theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+           (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) + 
+        (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(0.002 + theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(0.002 + theta1) + sin(theta4)))/
+         sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2)))*
+      (-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+           sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + 
+        ((-xbase + ll*(cos(theta1) + cos(0.002 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.002 + theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+         (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + (ll*(sin(theta1) + sin(0.002 + theta4)))/2.));
 
-    jacobianb = (-500*((-lb - xbase - ll*(cos(theta1) - cos(0.001 - theta4)) + (2*(sin(theta1) + sin(0.001 - theta4))*
-                        sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
-                        sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/2. +
-                       (lb + xbase + ll*(cos(theta1) - cos(0.001 + theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(theta1) + sin(0.001 + theta4)))/
-                        sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2)))/2.))/
-                (250000*((lb + xbase + ll*(cos(0.001 + theta1) - cos(theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*
-                          (-sin(0.001 + theta1) + sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2)))/2. +
-                         (-lb - xbase - ll*(cos(0.001 - theta1) - cos(theta4)) - (2*(sin(0.001 - theta1) + sin(theta4))*
-                                 sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
-                          sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/2.)*
-                 (-(ll*(sin(theta1) - sin(0.001 - theta4)))/2. - ((-(xbase/ll) + cos(theta1) + cos(0.001 - theta4))*
-                         sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
-                  sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)) +
-                  ((-xbase + ll*(cos(theta1) + cos(0.001 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
-                  (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2))) + (ll*(sin(theta1) + sin(0.001 + theta4)))/2.) -
-                 250000*(((-xbase + ll*(cos(0.001 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
-                         (ll*sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2))) - (ll*(-sin(0.001 - theta1) + sin(theta4)))/2. + (ll*(sin(0.001 + theta1) + sin(theta4)))/2. -
-                         ((-xbase + ll*(cos(0.001 - theta1) + cos(theta4)))*sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
-                         (ll*sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2))))*
-                 ((-lb - xbase - ll*(cos(theta1) - cos(0.001 - theta4)) + (2*(sin(theta1) + sin(0.001 - theta4))*
-                         sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
-                   sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/2. +
-                  (lb + xbase + ll*(cos(theta1) - cos(0.001 + theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(theta1) + sin(0.001 + theta4)))/
-                   sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2)))/2.));
+    jacobianb = (-250*(ll*(-cos(theta1) + cos(theta4)) + ll*(cos(theta1) - cos(0.002 + theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+          (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) + 
+       (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(0.002 + theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(theta1) + sin(0.002 + theta4)))/
+        sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))))/
+   (-125000*(-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+           sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) + 
+        ((-xbase + ll*(cos(0.002 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.002 + theta1) + cos(theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+         (ll*sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + (ll*(sin(0.002 + theta1) + sin(theta4)))/2.)*
+      (ll*(-cos(theta1) + cos(theta4)) + ll*(cos(theta1) - cos(0.002 + theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+           (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) + 
+        (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(0.002 + theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(theta1) + sin(0.002 + theta4)))/
+         sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + 
+     125000*(ll*(cos(0.002 + theta1) - cos(theta4)) + ll*(-cos(theta1) + cos(theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+           (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) + 
+        (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(0.002 + theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(0.002 + theta1) + sin(theta4)))/
+         sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2)))*
+      (-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+           sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + 
+        ((-xbase + ll*(cos(theta1) + cos(0.002 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.002 + theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+         (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + (ll*(sin(theta1) + sin(0.002 + theta4)))/2.));
 
-    jacobianc = (-500*(((-xbase + ll*(cos(0.001 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
-                       (ll*sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2))) - (ll*(-sin(0.001 - theta1) + sin(theta4)))/2. + (ll*(sin(0.001 + theta1) + sin(theta4)))/2. -
-                       ((-xbase + ll*(cos(0.001 - theta1) + cos(theta4)))*sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
-                       (ll*sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))))/
-                (250000*((lb + xbase + ll*(cos(0.001 + theta1) - cos(theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*
-                          (-sin(0.001 + theta1) + sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2)))/2. +
-                         (-lb - xbase - ll*(cos(0.001 - theta1) - cos(theta4)) - (2*(sin(0.001 - theta1) + sin(theta4))*
-                                 sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
-                          sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/2.)*
-                 (-(ll*(sin(theta1) - sin(0.001 - theta4)))/2. - ((-(xbase/ll) + cos(theta1) + cos(0.001 - theta4))*
-                         sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
-                  sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)) +
-                  ((-xbase + ll*(cos(theta1) + cos(0.001 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
-                  (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2))) + (ll*(sin(theta1) + sin(0.001 + theta4)))/2.) -
-                 250000*(((-xbase + ll*(cos(0.001 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
-                         (ll*sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2))) - (ll*(-sin(0.001 - theta1) + sin(theta4)))/2. + (ll*(sin(0.001 + theta1) + sin(theta4)))/2. -
-                         ((-xbase + ll*(cos(0.001 - theta1) + cos(theta4)))*sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
-                         (ll*sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2))))*
-                 ((-lb - xbase - ll*(cos(theta1) - cos(0.001 - theta4)) + (2*(sin(theta1) + sin(0.001 - theta4))*
-                         sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
-                   sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/2. +
-                  (lb + xbase + ll*(cos(theta1) - cos(0.001 + theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(theta1) + sin(0.001 + theta4)))/
-                   sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2)))/2.));
+    jacobianc = (-500*(-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+          sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) + 
+       ((-xbase + ll*(cos(0.002 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.002 + theta1) + cos(theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+        (ll*sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + (ll*(sin(0.002 + theta1) + sin(theta4)))/2.))/
+   (-125000*(-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+           sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) + 
+        ((-xbase + ll*(cos(0.002 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.002 + theta1) + cos(theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+         (ll*sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + (ll*(sin(0.002 + theta1) + sin(theta4)))/2.)*
+      (ll*(-cos(theta1) + cos(theta4)) + ll*(cos(theta1) - cos(0.002 + theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+           (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) + 
+        (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(0.002 + theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(theta1) + sin(0.002 + theta4)))/
+         sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + 
+     125000*(ll*(cos(0.002 + theta1) - cos(theta4)) + ll*(-cos(theta1) + cos(theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+           (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) + 
+        (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(0.002 + theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(0.002 + theta1) + sin(theta4)))/
+         sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2)))*
+      (-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+           sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + 
+        ((-xbase + ll*(cos(theta1) + cos(0.002 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.002 + theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+         (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + (ll*(sin(theta1) + sin(0.002 + theta4)))/2.));
 
-    jacobiand = (500*((lb + xbase + ll*(cos(0.001 + theta1) - cos(theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(0.001 + theta1) + sin(theta4)))/
-                       sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2)))/2. +
-                      (-lb - xbase - ll*(cos(0.001 - theta1) - cos(theta4)) - (2*(sin(0.001 - theta1) + sin(theta4))*
-                              sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
-                       sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/2.))/
-                (250000*((lb + xbase + ll*(cos(0.001 + theta1) - cos(theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*
-                          (-sin(0.001 + theta1) + sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2)))/2. +
-                         (-lb - xbase - ll*(cos(0.001 - theta1) - cos(theta4)) - (2*(sin(0.001 - theta1) + sin(theta4))*
-                                 sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
-                          sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/2.)*
-                 (-(ll*(sin(theta1) - sin(0.001 - theta4)))/2. - ((-(xbase/ll) + cos(theta1) + cos(0.001 - theta4))*
-                         sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
-                  sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)) +
-                  ((-xbase + ll*(cos(theta1) + cos(0.001 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
-                  (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2))) + (ll*(sin(theta1) + sin(0.001 + theta4)))/2.) -
-                 250000*(((-xbase + ll*(cos(0.001 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.001 + theta1) + cos(theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.))/
-                         (ll*sqrt(pow(-(xbase/ll) + cos(0.001 + theta1) + cos(theta4),2) + pow(sin(0.001 + theta1) - sin(theta4),2))) - (ll*(-sin(0.001 - theta1) + sin(theta4)))/2. + (ll*(sin(0.001 + theta1) + sin(theta4)))/2. -
-                         ((-xbase + ll*(cos(0.001 - theta1) + cos(theta4)))*sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2)))/4.))/
-                         (ll*sqrt(pow(-(xbase/ll) + cos(0.001 - theta1) + cos(theta4),2) + pow(sin(0.001 - theta1) + sin(theta4),2))))*
-                 ((-lb - xbase - ll*(cos(theta1) - cos(0.001 - theta4)) + (2*(sin(theta1) + sin(0.001 - theta4))*
-                         sqrt(pow(lu,2) - (pow(ll,2)*(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/4.))/
-                   sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 - theta4),2) + pow(sin(theta1) + sin(0.001 - theta4),2)))/2. +
-                  (lb + xbase + ll*(cos(theta1) - cos(0.001 + theta4)) + (2*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.001 + theta4)) - ll*(1 + cos(0.001 + theta1 + theta4))))/2.)*(-sin(theta1) + sin(0.001 + theta4)))/
-                   sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.001 + theta4),2) + pow(sin(theta1) - sin(0.001 + theta4),2)))/2.));
-
+    jacobiand = (250*(ll*(cos(0.002 + theta1) - cos(theta4)) + ll*(-cos(theta1) + cos(theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+          (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) + 
+       (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(0.002 + theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(0.002 + theta1) + sin(theta4)))/
+        sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2))))/
+   (-125000*(-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+           sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) + 
+        ((-xbase + ll*(cos(0.002 + theta1) + cos(theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(0.002 + theta1) + cos(theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+         (ll*sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + (ll*(sin(0.002 + theta1) + sin(theta4)))/2.)*
+      (ll*(-cos(theta1) + cos(theta4)) + ll*(cos(theta1) - cos(0.002 + theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+           (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) + 
+        (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(0.002 + theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(theta1) + sin(0.002 + theta4)))/
+         sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + 
+     125000*(ll*(cos(0.002 + theta1) - cos(theta4)) + ll*(-cos(theta1) + cos(theta4)) + (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(theta1 + theta4))*
+           (sin(theta1) - sin(theta4)))/sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2)) + 
+        (sqrt(-pow(xbase,2) - 2*pow(ll,2) + 4*pow(lu,2) + 2*xbase*ll*cos(0.002 + theta1) + 2*xbase*ll*cos(theta4) - 2*pow(ll,2)*cos(0.002 + theta1 + theta4))*(-sin(0.002 + theta1) + sin(theta4)))/
+         sqrt(pow(-(xbase/ll) + cos(0.002 + theta1) + cos(theta4),2) + pow(sin(0.002 + theta1) - sin(theta4),2)))*
+      (-(((-(xbase/ll) + cos(theta1) + cos(theta4))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(theta4)) - ll*(1 + cos(theta1 + theta4))))/2.))/
+           sqrt(pow(-(xbase/ll) + cos(theta1) + cos(theta4),2) + pow(sin(theta1) - sin(theta4),2))) - (ll*(sin(theta1) + sin(theta4)))/2. + 
+        ((-xbase + ll*(cos(theta1) + cos(0.002 + theta4)))*sqrt(-pow(xbase,2)/4. + pow(lu,2) + (ll*(xbase*(cos(theta1) + cos(0.002 + theta4)) - ll*(1 + cos(0.002 + theta1 + theta4))))/2.))/
+         (ll*sqrt(pow(-(xbase/ll) + cos(theta1) + cos(0.002 + theta4),2) + pow(sin(theta1) - sin(0.002 + theta4),2))) + (ll*(sin(theta1) + sin(0.002 + theta4)))/2.));
             //vanaf hier weer door met lezen!
     prefx = 1*(!button1); //sw3, dit is belangrijk! prefx staat voor P_(reference) en het is de snelheid van de endeffector als 
                         // de button ingedrukt wordt (als emg = boven treshold) is de prefx 1 (da's de rode 1)
     prefy = 1*(!button2); //sw2, 
     inverse(prefx, prefy);
-    ledr!=ledr;
+    
+    ledr=!ledr;
 }
 
 
@@ -240,14 +227,14 @@
     theta4 = PI*0.49;
     pc.baud(115200);
     //default = theta1 = theta4 = pi/2, 
-    emgcheck.attach(kinematics, 0.0085); // roep de ticker aan (
-    
+    emgcheck.attach(kinematics, 0.01); // roep de ticker aan (
+    ledr = 1;
     pc.printf("%f", theta1);
     while(true) {
 
 
         pc.printf("\n\r %f %f \n\r %f %f", theta4,theta1, xend, yend); // in teraterm zijn de bovenste twee waardes hoeken, de onderste twee zijn de x en y coordinaat
-        wait(0.5);//anders krijg je DOEZEND waardes...
+        wait(1);//anders krijg je DOEZEND waardes...
 
 
     }