Interpolation/Cosine - Revision history

Nexii Malthus: Page not needed anymore.

2011-09-14T10:47:53Z

Page not needed anymore.

Nexii Malthus at 20:50, 4 September 2011

2011-09-04T20:50:32Z

← Older revision		Revision as of 13:50, 4 September 2011
Line 2:		Line 2:
	{{RightToc\|clear:right;}}		{{RightToc\|clear:right;}}

	== ~~Linear~~ Interpolation ==		== Cosine Interpolation ==

	{\|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"		{\|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"

Nexii Malthus at 20:46, 4 September 2011

2011-09-04T20:46:13Z

@@ Line 122: / Line 122: @@
 | return rotation rCos
 | Returns spherical cosine interpolation of two rotations
 |}
 | Graph goes here, k.

Nexii Malthus at 20:42, 4 September 2011

2011-09-04T20:42:57Z

← Older revision		Revision as of 13:42, 4 September 2011
Line 24:		Line 24:
	\|-		\|-
	\| float f0		\| float f0
	\| Start, 0.0		\| Start (t = 0.0)
	\|-		\|-
	\| float f1		\| float f1
	\| End, 1.0		\| End (t = 1.0)
	\|-		\|-
	\| float t		\| float t
Line 64:		Line 64:
	\|-		\|-
	\| vector v0		\| vector v0
	\| Start, 0.0		\| Start (t = 0.0)
	\|-		\|-
	\| vector v1		\| vector v1
	\| End, 1.0		\| End (t = 1.0)
	\|-		\|-
	\| float t		\| float t
Line 109:		Line 109:
	\|-		\|-
	\| rotation r0		\| rotation r0
	\| Start, 0.0		\| Start (t = 0.0)
	\|-		\|-
	\| rotation r1		\| rotation r1
	\| End, 1.0		\| End (t = 1.0)
	\|-		\|-
	\| float t		\| float t

Nexii Malthus at 20:41, 4 September 2011

2011-09-04T20:41:04Z

← Older revision		Revision as of 13:41, 4 September 2011
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	{\|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"		{\|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"
	!style="color: #000000; background-color: #aaaaff;" height="20px"\|		!style="color: #000000; background-color: #aaaaff;" height="20px"\|
	====Float Cosine====		===Float Cosine===
	\|-		\|-
	\|		\|
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	{\|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"		{\|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"
	!style="color: #000000; background-color: #aaaaff;" height="20px"\|		!style="color: #000000; background-color: #aaaaff;" height="20px"\|
	====Vector Cosine====		===Vector Cosine===
	\|-		\|-
	\|		\|
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	{\|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"		{\|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"
	!style="color: #000000; background-color: #aaaaff;" height="20px"\|		!style="color: #000000; background-color: #aaaaff;" height="20px"\|
	====Rotation Cosine====		===Rotation Cosine===
	\|-		\|-
	\|		\|

Nexii Malthus: Created page with "{{LSL Header|Interpolation}} {{RightToc|clear:right;}} == Linear Interpolation == {|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em…"

2011-09-04T20:40:04Z

Created page with "{{LSL Header|Interpolation}} {{RightToc|clear:right;}} == Linear Interpolation == {|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em…"

New page

{{LSL Header|[[Interpolation]]}}
{{RightToc|clear:right;}}

== Linear Interpolation ==

{|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"
!style="color: #000000; background-color: #aaaaff;" height="20px"|
====Float Cosine====
|-
|
Cosine interpolation of f0 and f1 with fraction t.
<lsl>
float fCos(float f0,float f1,float t) {
float F = (1 - llCos(t*PI))/2;
return f0*(1-F)+f1*F;
}
</lsl>

{|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"
|
{|cellspacing="0" cellpadding="6" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #e0e0ff; border-collapse: collapse"
!style="background-color: #d0d0ee" | Input
!style="background-color: #d0d0ee" | Description
|-
| float f0
| Start, 0.0
|-
| float f1
| End, 1.0
|-
| float t
| Fraction of interpolation
|-
!style="background-color: #d0d0ee" | Output
!style="background-color: #d0d0ee" | Description
|-
| return float fCos
| Returns cosine interpolation of two floats
|}
| [[Image:Interp_Chart2.png|center]]
|}
<div style="float:right;font-size: 80%;">
Released to Public Domain. By Nexii Malthus</div>
|}

{|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"
!style="color: #000000; background-color: #aaaaff;" height="20px"|
====Vector Cosine====
|-
|
Cosine interpolation of v0 and v1 with fraction t.
<lsl>
vector vCos(vector v0,vector v1,float t){
float F = (1 - llCos(t*PI))/2;
return v0*(1-F)+v1*F;}
</lsl>

{|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"
|
{|cellspacing="0" cellpadding="6" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #e0e0ff; border-collapse: collapse"
!style="background-color: #d0d0ee" | Input
!style="background-color: #d0d0ee" | Description
|-
| vector v0
| Start, 0.0
|-
| vector v1
| End, 1.0
|-
| float t
| Fraction of interpolation
|-
!style="background-color: #d0d0ee" | Output
!style="background-color: #d0d0ee" | Description
|-
| return vector vCos
| Returns cosine interpolation of two vectors
|}
| Graph goes here, k.
|}
<div style="float:right;font-size: 80%;">
Released to Public Domain. By Nexii Malthus</div>
|}

{|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"
!style="color: #000000; background-color: #aaaaff;" height="20px"|
====Rotation Cosine====
|-
|
Spherical Cosine interpolation of r0 and r1 with fraction t.
I liken to call it as '''SCORP'''
<lsl>
rotation rCos(rotation r0,rotation r1,float t){
// Spherical-Cosine Interpolation
float f = (1 - llCos(t*PI))/2;
float ang = llAngleBetween(r0, r1);
if( ang > PI) ang -= TWO_PI;
return r0 * llAxisAngle2Rot( llRot2Axis(r1/r0)*r0, ang*f);}
</lsl>

{|cellspacing="0" cellpadding="3" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #ffffff; border-collapse: collapse" width="80%"
|
{|cellspacing="0" cellpadding="6" border="1" style="border: 1px solid #aaaaaa; margin: 1em 1em 1em 0pt; background-color: #e0e0ff; border-collapse: collapse"
!style="background-color: #d0d0ee" | Input
!style="background-color: #d0d0ee" | Description
|-
| rotation r0
| Start, 0.0
|-
| rotation r1
| End, 1.0
|-
| float t
| Fraction of interpolation
|-
!style="background-color: #d0d0ee" | Output
!style="background-color: #d0d0ee" | Description
|-
| return rotation rCos
| Returns spherical cosine interpolation of two rotations
|}
| Graph goes here, k.
|}
<div style="float:right;font-size: 80%;">
Released to Public Domain. By Nexii Malthus</div>
|}