# trans

`trans`

The trans function translates coordinates from one coordinate system to another. See on-line help for details.

This can be confusing because "from one coordinate system to another" is difficult if you only have a choice between the current UCS (1) and World UCS (0). Plan of approach in Lisp:

• Save current UCS.
• Make WCS active.
• Get all the points you need.
• As an option: You can now even create another UCS based on these points.
• Use trans to be able to use points in the active UCS, for example a function such as angle.
• When everything is done: Activate the saved UCS.

If we convert those steps into code, the following sample fragments can help:

Save current UCS:

```(if (not current-ucs-tmp)
(setq current-ucs-tmp (list (getvar "ucsorg") (trans (list 1 0 0) 1 0) (trans (list 0 1 0) 1 0)))
)```

WCS:

`(command "._ucs" "_w")`

Collect points:

```(setq
pt-a (getpoint (tra "\nSpecify apex point: "))
pt-1 (getpoint (tra "\nSpecify end point 1: "))
pt-2 (getpoint (tra "\nSpecify end point 2: "))
)```

Create a new UCS:

`(command "._ucs" "_3p" "_non" pt-a "_non" pt-1 "_non" pt-2)`

Do something with the points, below shows how points behave and how they can be manipulated.

```(princ (strcat "\nAngle from apex to point 2 in WCS is: " (rtos (angle pt-a pt-2)) "."))
(princ (strcat "\nAngle from apex to point 2 in plane trough points with point 1 on x-axis is: " (rtos (angle (trans pt-a 0 1) (trans pt-2 0 1))) "."))```

Back to where we started:

```(if current-ucs-tmp ; restore ucs
(progn
(command "._ucs" "_3p" (trans (nth 0 current-ucs-tmp) 0 1) (trans (nth 1 current-ucs-tmp) 0 1) (trans (nth 2 current-ucs-tmp) 0 1))
(setq current-ucs-tmp nil)
)
)```

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