Difference between revisions of "Interpolation/Spline/Vectors"
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|func_desc= | |func_desc= | ||
B-Spline Interpolation between four vector points in a list of vectors that define a path. | B-Spline Interpolation between four vector points in a list of vectors that define a path. | ||
|spec=< | |spec=<source lang="lsl2">vector pSpline(list v, float t, integer Loop) { | ||
integer l = llGetListLength(v); t *= l-1; | integer l = llGetListLength(v); t *= l-1; | ||
integer f = llFloor(t); t -= f; | integer f = llFloor(t); t -= f; | ||
| Line 26: | Line 26: | ||
return Index; | return Index; | ||
} | } | ||
// Released into public domain. By Nexii Malthus.</ | // Released into public domain. By Nexii Malthus.</source> | ||
|examples= | |examples= | ||
< | <source lang="lsl2"> | ||
//Quick Dirty Example By To-mos Codewarrior (tomos.halsey) | //Quick Dirty Example By To-mos Codewarrior (tomos.halsey) | ||
integer LINK_cube;integer LINK_1; | integer LINK_cube;integer LINK_1; | ||
| Line 111: | Line 111: | ||
{interpolate();} | {interpolate();} | ||
} | } | ||
</ | </source> | ||
|cat1=Examples | |cat1=Examples | ||
}} | }} | ||
Latest revision as of 15:07, 24 January 2015
| LSL Portal | Functions | Events | Types | Operators | Constants | Flow Control | Script Library | Categorized Library | Tutorials |
Summary
Function: vector pSpline( list v, float t, integer Loop );
B-Spline Interpolation between four vector points in a list of vectors that define a path.
Returns a vector
| • list | v | |||
| • float | t | – | Ranges between [0, 1] | |
| • integer | Loop | – | Whether the list is a curved line or loops into a closed shape. |
Specification
vector pSpline(list v, float t, integer Loop) {
integer l = llGetListLength(v); t *= l-1;
integer f = llFloor(t); t -= f;
float t2 = t * t; float t3 = t2 * t;
return (
( (-t3 + (3.*t2) - (3.*t) + 1.) * llList2Vector(v, pIndex(f-1,l,Loop)) )
+ ( ((3.*t3) - (6.*t2) + 4.) * llList2Vector(v, pIndex(f,l,Loop)) )
+ ( ((-3.*t3) + (3.*t2) + (3.*t) + 1.) * llList2Vector(v, pIndex(f+1,l,Loop)) )
+ ( t3 * llList2Vector(v, pIndex(f+2,l,Loop)) )
) / 6.0;
}
integer pIndex( integer Index, integer Length, integer Loop) {
if(Loop) return Index % Length;
if(Index < 0) return 0;
if(Index > --Length) return Length;
return Index;
}
// Released into public domain. By Nexii Malthus.
Examples
//Quick Dirty Example By To-mos Codewarrior (tomos.halsey)
integer LINK_cube;integer LINK_1;
integer LINK_2; integer LINK_3;
integer LINK_4; integer LINK_5;
integer LINK_6; integer LINK_7;
vector pos_1;vector pos_2;
vector pos_3;vector pos_4;
vector pos_5;vector pos_6;
vector pos_7;
getlinks()
{
integer total=llGetNumberOfPrims()+1;
string name;
while((total--)-1)
{
name=llGetLinkName(total);
if(name == "Cube")LINK_cube = total;
if(name == "1") LINK_1 = total;
if(name == "2") LINK_2 = total;
if(name == "3") LINK_3 = total;
if(name == "4") LINK_4 = total;
if(name == "5") LINK_5 = total;
if(name == "6") LINK_6 = total;
if(name == "7") LINK_7 = total;
}
}
getPositions()
{
pos_1 = llList2Vector(llGetLinkPrimitiveParams(LINK_1, [PRIM_POS_LOCAL]), 0);
pos_2 = llList2Vector(llGetLinkPrimitiveParams(LINK_2, [PRIM_POS_LOCAL]), 0);
pos_3 = llList2Vector(llGetLinkPrimitiveParams(LINK_3, [PRIM_POS_LOCAL]), 0);
pos_4 = llList2Vector(llGetLinkPrimitiveParams(LINK_4, [PRIM_POS_LOCAL]), 0);
pos_5 = llList2Vector(llGetLinkPrimitiveParams(LINK_5, [PRIM_POS_LOCAL]), 0);
pos_6 = llList2Vector(llGetLinkPrimitiveParams(LINK_6, [PRIM_POS_LOCAL]), 0);
pos_7 = llList2Vector(llGetLinkPrimitiveParams(LINK_7, [PRIM_POS_LOCAL]), 0);
}
vector bSpline(list v, float t, integer Loop) {
integer l = llGetListLength(v); t *= l-1;
integer f = llFloor(t); t -= f;
float t2 = t * t; float t3 = t2 * t;
vector out=(
( (-t3 + (3.*t2) - (3.*t) + 1.) * llList2Vector(v, pIndex(f-1,l,Loop)) )
+ ( ((3.*t3) - (6.*t2) + 4.) * llList2Vector(v, pIndex(f,l,Loop)) )
+ ( ((-3.*t3) + (3.*t2) + (3.*t) + 1.) * llList2Vector(v, pIndex(f+1,l,Loop)) )
+ ( t3 * llList2Vector(v, pIndex(f+2,l,Loop)) )
) / 6.0;
llSetText(
"time: "+(string)t+"\n"+
"vector pos: "+(string)out
,<1.0,1.0,1.0>,1.0);
return out;
}
integer pIndex( integer Index, integer Length, integer Loop) {
if(Loop) return Index % Length;
if(Index < 0) return 0;
if(Index > --Length) return Length;
return Index;
}
interpolate()
{
getPositions();
float t;
for(t = 0; t < 1; t += 0.001)
{
llSetLinkPrimitiveParamsFast(LINK_cube, [PRIM_POS_LOCAL,bSpline([pos_1,pos_2,pos_3,pos_4,pos_5,pos_6,pos_7,pos_7,pos_7],t,0)]);
}
}
default
{
state_entry()
{getlinks();}
touch_start(integer num)
{interpolate();}
}