Difference between revisions of "LlAxes2Rot"
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|p3_type=vector|p3_name=up | |p3_type=vector|p3_name=up | ||
|return_text=that is defined by the 3 coordinate axes | |return_text=that is defined by the 3 coordinate axes | ||
|notes=Technically, only the first two vectors are needed to define this rotation, which can be done by calling: | |notes=Technically, only the first two vectors are needed to define this rotation, which can be done by calling any of these: | ||
< | <source lang="lsl2">llAxes2Rot(fwd, left, fwd % left); | ||
llAxes2Rot(left % up, left, up); | |||
llAxes2Rot(fwd, up % fwd, up);</source> | |||
|spec | |spec | ||
|caveats | |caveats | ||
|examples=< | |examples=<source lang="lsl2">default | ||
default | |||
{ | { | ||
state_entry() | state_entry() | ||
{ | { | ||
vector i = < 1.0, 0.0, 0.0>; | |||
vector j = < 0.0, 1.0, 0.0>; | |||
vector k = < 0.0, 0.0, 1.0>; | |||
rotation rot = llAxes2Rot( j, -i, k ); | |||
llSay(0, (string) (llRot2Euler(rot) * RAD_TO_DEG) ); | llSay(0, (string) (llRot2Euler(rot) * RAD_TO_DEG) ); | ||
} | } | ||
}</ | }</source> | ||
This script shows that (' | This script displays: | ||
Object: <-0.00000, 0.00000, 90.00000> | |||
which shows that ('''j''', '''-i''', '''k''') is obtained by rotating ('''i''', '''j''', '''k''') 90 degrees around z direction. | |||
|helpers | |helpers | ||
|also_functions | |also_functions | ||
|also_events | |also_events | ||
|also_tests | |also_tests= | ||
{{LSL_DefineRow||[[User:Dora_Gustafson/llAxes2Rot_right_and_wrong|Visual illustration]]|Importance of mutually orthogonal unit vectors}} | |||
|also_articles | |also_articles | ||
|cat1=Math/3D | |cat1=Math/3D | ||
| Line 36: | Line 41: | ||
|cat3 | |cat3 | ||
|cat4 | |cat4 | ||
|haiku={{Haiku|quaternions rule|the whole world spins at your whim|or crashes and burns}} | |||
}} | }} | ||
Latest revision as of 04:10, 7 March 2016
| LSL Portal | Functions | Events | Types | Operators | Constants | Flow Control | Script Library | Categorized Library | Tutorials |
Summary
Function: rotation llAxes2Rot( vector fwd, vector left, vector up );| 0.0 | Forced Delay |
| 10.0 | Energy |
Returns a rotation that is defined by the 3 coordinate axes
| • vector | fwd | |||
| • vector | left | |||
| • vector | up |
All three vectors must be mutually orthogonal unit vectors.
Examples
default
{
state_entry()
{
vector i = < 1.0, 0.0, 0.0>;
vector j = < 0.0, 1.0, 0.0>;
vector k = < 0.0, 0.0, 1.0>;
rotation rot = llAxes2Rot( j, -i, k );
llSay(0, (string) (llRot2Euler(rot) * RAD_TO_DEG) );
}
}
This script displays:
Object: <-0.00000, 0.00000, 90.00000>which shows that (j, -i, k) is obtained by rotating (i, j, k) 90 degrees around z direction.
Notes
Technically, only the first two vectors are needed to define this rotation, which can be done by calling any of these:
llAxes2Rot(fwd, left, fwd % left);
llAxes2Rot(left % up, left, up);
llAxes2Rot(fwd, up % fwd, up);
Deep Notes
Tests
| • | Visual illustration | – | Importance of mutually orthogonal unit vectors |
Signature |
|---|
function rotation llAxes2Rot( vector fwd, vector left, vector up ); |
Haiku |
|---|
|
quaternions rule
|