Transformation Troubles

[kdasilva]

Hello again my new favourite forum~

I come seeking guidance on working with transformations...

I have a component, that gets placed upon the first click, a view line is then drawn which the user then uses to infer what angle, and what x scale to apply to the component (a big arrow in this case)

so far:
first click (gets placed)

drawing the line

second click (where my transformation skills fail me)

As those show, my scale vector scales to the right size but my rotation just flips it onto its side. I tested each one independently, and they both moved the arrow back to the origin

Here is the method I used for the transformation:

def onLButtonDown flags, x, y, view
 if @first_click
   if (@pt1.position.distance @pt2.position) > 0
    draw_the_line
    rotate_vector = Geom;;Vector3d.new 0,0,1
    point_vector = @pt2.position - @pt1.position
    rotate_angle = rotate_vector.angle_between point_vector
    rotate = Geom;;Transformation.rotation( @pt1.position, rotate_vector, rotate_angle )
    xscale = @@edge.length.to_f / 72.25
    xscale_transformation = Geom;;Transformation.scaling @pt1.position, xscale, 1, 1
    @insert_arrow1.move!(Geom;;Transformation.new(xscale_transformation))
    @insert_arrow1.transform!(Geom;;Transformation.new(rotate))
   end
 else
  @pt1.pick view, x, y
  newpt = Geom;;Transformation.new( @pt1.position )
  @insert_arrow1 = @@ents.add_instance( @@comp_def_viewArrow, newpt)
  @first_click = true
 end
end

The reason i used .move! and then .transform! is because if I used both as .move! it seemed the second transformation cancelled out the first one (it wouldn't be scaled) and if I used .transform! for the scale it started jumping away (like the problem recently resolved in my previous tool post)

Essentially my two issues are: Not having the transformation jump back to the origin, and the rotation I cant seem to work it always just flips up onto its side.

My knowledge of vectors is pretty poor, so that very well might be the source of my issue.

Cheers,

Korbin~

[kdasilva]

oops I found a big mistake, that improved and made things worse...I realized I WAS clearing @pt1 and @pt2 with a reset call that was happening. So it was working all with zeros......however now that i removed that my arrows are going off in strange directions and rotating in ways i don't understand! I cuold really use some help from a transformation guru~

---

After some testing I have a major question for my own understanding. How do multiple transformations work?? My scale will scale if its by itself, but as soon as I do two transformation (iescale with a rotation) the it starts to move somewhere else. From what I read I am guessing this has something to do with the transformation matrix ...but I can't seem to figure out how to navigate it.

Is there a way to isolate each transformation? so they don't interact? (the !move worked for my last problem but not here..)

cheers
Korbin

[TIG]

Transformations need to be done in a logical sequence if you use * they read right to left in sequence of application.
If you manually locate, then rotate about a point and then scale an object you WILL get a different end result than if you locate, scale and then rotate it... It's the same with a coded transformation. Keep track of the points etc as you need to know clearly about which point you are rotating or scaling and that might move as you transform things [remember you can transform! a point too...]

[kdasilva]

@tig said:

Transformations need to be done in a logical sequence if you use * they read right to left in sequence of application.
If you manually locate, then rotate about a point and then scale an object you WILL get a different end result than if you locate, scale and then rotate it... It's the same with a coded transformation. Keep track of the points etc as you need to know clearly about which point you are rotating or scaling and that might move as you transform things [remember you can transform! a point too...]

hmm but my @pt 1, is the origin for rotation..and I scale form the point @pt1....so the point should never move....when I do them individually the component stays where it should...@pt1 doesnt change, I don't know what would make it want to translate to a a dif point. I do make sure to do the scale first, because that stretches in the X direction, so I do the scale before it gets rotated. So i see why order is important, but not why it translates my instance :S

[TIG]

Get it to 'puts @pt1' into the Ruby Console with some text to show which 'state' case you are in - this will confirm if the points have inadvertently changed in your code...
The first picked point [pt1] should locate the object.
You know its start rotation against X_AXIS = 0.degrees, so its vector=X_AXIS.
Next you move your cursor and a second point [pt2] is returned depending where it is.
This sets a cursor_vector=pt1.vector_to(pt2) which you need to 'flatten' with cursor_vector.z=0.
Every time pt2 changes you must set vector=cursor_vector.clone and then reset 'flattened' cursor_vector to suit the new point pt2 as before.
Now you know the angle=vector.angle_between(cursor_vector) - you might need to test if the angle is +/-...
Now as you move the cursor apply the rotation transformation to the object
tr=Geom::Transformation.rotation(pt1, Z_AXIS, angle) object.transform!(tr)
and then scale it along its x-axis to suit the new pt2
[easiest if 'arrow' is made facing right - +ve x-axis - and its start length is 1" in x-axis too, as then there's less maths to do]
scale=pt1.distance(pt2) tr=Geom::Transformation.scaling(pt1, scale, 1, 1) object.transform!(tr)
[If you want to scale in other axes change the 1's for the y/z values]
While waiting for the second point [pt2] this coding approach should then rotate the arrow towards the cursor and also stretch it towards the cursor - within the onMouseMove() method, the on click method will then 'freeze' these settings as 'pt2' is fixed...
The steps I show ignore @ variables etc and are indicative only... BUT they should help resolve the issue... Fins a copy of my FreeRotate ruby that does something like this to rotate the object with the cursor about an initially picked point... all you need to add is something to 'flatten the rotation so you always rotate about the vertical Z axis and then the scaling parts...

[Dan Rathbun]

@kdasilva said:

From what I read I am guessing this has something to do with the transformation matrix ...but I can't seem to figure out how to navigate it.

Martin Rinehart wrote a Tutorial that has a lesson on transformations and an explanation of the Matrix.

See this post for links:
http://forums.sketchucation.com/viewtopic.php?f=180&t=27182#p235251

( ...follow the white rabbit. )