Manual quaternion example gives me a different result? What am I missing?

RAPID Programming
1

Just in general:

If i try run the example below i have a different result than the manual:
Mine is 1.93185, 0, 0.517638, 0.

Am i making a mistake? Is the example correct? Any input appreciated

double q1 = sqrt(cos(0.523599)+ 1 + cos(0.523599) +1);
double q2 = sqrt(cos(0.523599) -1 - cos(0.523599) + 1);
double q3 = sqrt(1 - cos(0.523599) - cos(0.523599) + 1);

double q4 = sqrt(cos(0.523599) - cos(0.523599) -1 + 1);

image.png
image.png644×875 37.3 KB

2

Closer but that would be [ 0.2588223, 0, 0.9659249, 0 ] in abb notation?
Abb notation is x, y, z, w?

image.png
image.png1177×666 28.4 KB

The result in the example looks correct (middle not rotated) unit but how?

const robtarget test2_1_l0:=[[-0.52, -30.00, 10.13], [0.9659249, 0, 0.2588223, 0],[-1,0,-1,0], [9E+09,9E+09,9E+09,9E+09,9E+09,9E+09]];
const robtarget test2_2_l0:=[[4.18, -29.71, 10.26], [0, 0.2588223, 0, 0.9659249],[-1,0,-1,0], [9E+09,9E+09,9E+09,9E+09,9E+09,9E+09]]

image.png
image.png1197×731 61.8 KB

The doc doesnt exactly explain the notation?

Components
The data type orient has the following components:
q1
Data type: num
Quaternion 1.
q2
Data type: num
Quaternion 2.
q3
Data type: num
Quaternion 3.
q4
Data type: num
Quaternion 4.

3

Can we just confirm this is a correct example and the notation?

Will robotstudio deal with scientific notation like 5.68811e-14? I dont think it did in my quick test.

The calculator show above is this

4

I think the Euler angles are in the order Z,Y,X.
As there is a RAPID function EulerZYX which obtains the rotation angles from the quaternions and OrientZYZ that build the quaternions.

5

So we think the result is correct? Or that quaternions are q= [w,Z,Y,X]?Or both :)?

I am using libigl, a proven library and have trouble to make any sense of the results in robotstudio

6

Here is the result with EulerZYX

7

With const robtarget test2_1_l0:=[[-0.52, -30.00, 10.13], [0.965926, 0, 0.258819, 0],[-1,0,-1,0], [9E+09,9E+09,9E+09,9E+09,9E+09,9E+09]];
only y has an angle

image.png
image.png1097×372 24.4 KB

8

I am not any good at the math involved in this…
So I went online found a converter which used ZYX for the Euler input and plugged in 30,0,30 - got a completely different result to the manual extract!
So had a good look at the diagram of the robot diagram in your extract from the manual it looks like a 30° rotation round the Y axis.
You plug those numbers into the converter ( z= 0, y=30, x=0) you get the result shown in the manual.

What was the manual you got the extract from and I will raise it as a correction?

9

Thanks so much, that matches robotstudios result. The example this is page 1152

3 Data types
3.37. orient - Orientation
RobotWare - OS
in

ABB Robotics
Technical reference manual
RAPID Instructions, Functions and Data types

I assume there isnt anything else available? No i know howit doesnt work mainly

10

Can somebody confirm robotstudio has a right-handed coordinate system?

11

rotations are in world space? parent space?

so my coordinate system is z down, right handed , ZYX order…