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About building parametric objects with GDL.
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GDL Trigonometry question

Mats_Knutsson
Advisor

Hi,

I have a label where i move the marker around freely through hotspots (xins and yins).

I don't understand how to code the line to stop at the perimeter of the circle. If I knew how ATAN works I could do this but i get an error when trying to use ATAN.

Br,

Mats

 

 

gdl atan.jpg

AC 25 SWE Full

HP Zbook Fury 15,6 G8. 32 GB RAM. Nvidia RTX A3000.
1 ACCEPTED SOLUTION

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DGSketcher
Legend

@Mats_Knutsson See if this works after your hotspots...

dLine = SQR(xIns^2 + yIns^2) - rsp
IF xIns > 0 THEN aLine = ATN(yIns / xIns) ELSE aLine = ATN(yIns / xIns) + 180
LINE2 0,0, dline * COS(aLine), dLine * SIN(aLine)
CIRCLE2 xIns, yIns, rsp
TEXT2 xIns, yIns, stName
Apple iMac Intel i9 / macOS Sonoma / AC27UKI (most recent builds.. if they work)

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11 REPLIES 11
Jochen Suehlo
Advisor

Gegenkathete / Ankathete = TAN(alfa)

alfa = ATN(Gegenkathete / Ankathete)

Jochen Suehlo . AC12-27 . MAC OSX 14.4 . WIN11
GDL object creation: b-prisma.de
Zsuzsanna Bori
Graphisoft
Graphisoft

Hi! 

 

If I understood correctly, you would like to get the arc tangent of x, but you get an error message, correct? The function uses the argument "ATN" instead of "ATAN", see if you get the desired outcome with that.

 

Ah...I read a doc where it was ATAN. Will try ATN instead. Thx

AC 25 SWE Full

HP Zbook Fury 15,6 G8. 32 GB RAM. Nvidia RTX A3000.
Solution
DGSketcher
Legend

@Mats_Knutsson See if this works after your hotspots...

dLine = SQR(xIns^2 + yIns^2) - rsp
IF xIns > 0 THEN aLine = ATN(yIns / xIns) ELSE aLine = ATN(yIns / xIns) + 180
LINE2 0,0, dline * COS(aLine), dLine * SIN(aLine)
CIRCLE2 xIns, yIns, rsp
TEXT2 xIns, yIns, stName
Apple iMac Intel i9 / macOS Sonoma / AC27UKI (most recent builds.. if they work)

Gr8 thanks 🙂

 

https://youtu.be/NPs0vPolWhs

AC 25 SWE Full

HP Zbook Fury 15,6 G8. 32 GB RAM. Nvidia RTX A3000.

Also be extra careful not to divide by 0.

Péter Baksa
Software Engineer, Library as a Platform
Graphisoft SE, Budapest

Living on the edge...

AC 25 SWE Full

HP Zbook Fury 15,6 G8. 32 GB RAM. Nvidia RTX A3000.

@Peter Baksa I did think about it & it only fails at exactly (?) 90 / 270 degrees. I know GDL has a problem with real numbers and zero comparison checks e.g. If A = B is replaced with ABS ( A - B ) < eps. What tolerance / formula would be relevant to

ATN ( A / B )  to error trap when B = 0.0?

Apple iMac Intel i9 / macOS Sonoma / AC27UKI (most recent builds.. if they work)

Yes, there are circumstances when you can be sure the input isn't on the Y axis because some parameters forbid that, and it wouldn't be sensible architecturally. But there could be circumstances where a draggable hotspot would be set to 90° deliberately.

Maybe this is where the ATN / ATAN confusion came from: most programming languages have a non-trigonometric ATAN2 function taking an x and an y coordinate and returning the points' polar coordinate, handling all the cases where ATN could go wrong. GDL doesn't have such, but it can be written as a short subroutine containing a few ifs.

EPS can be avoided by using > from the other way you would use <=.

A working example returning degrees in range (-180...180]:

if abs(_x) > 0 then
    _atan2 = atn(_y / _x) + 90 * (1 - sgn(_x)) * (1 - 2 * (sgn(_y) < 0))
else
    _atan2 = sgn(_y * (abs(_y) > 0)) * 90
endif
Péter Baksa
Software Engineer, Library as a Platform
Graphisoft SE, Budapest