ObviousAltIsObvious Resident: tag to

2015-01-24T23:00:10Z

← Older revision		Revision as of 16:00, 24 January 2015
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	\|func_desc=		\|func_desc=
	Catmull-Rom cubic interpolation spline of four floats with fraction t.		Catmull-Rom cubic interpolation spline of four floats with fraction t.
	\|spec=A bit more optimised:<~~lsl~~>float fCatmullRom(rotation H, float t) {		\|spec=A bit more optimised:<source lang="lsl2">float fCatmullRom(rotation H, float t) {
	rotation ABCD = <		rotation ABCD = <
	(H.x -0.5) + (H.y 1.5) + (H.z -1.5) + (H.s 0.5),		(H.x -0.5) + (H.y 1.5) + (H.z -1.5) + (H.s 0.5),
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	return T.xABCD.x + T.yABCD.y + T.zABCD.z + T.sABCD.s;		return T.xABCD.x + T.yABCD.y + T.zABCD.z + T.sABCD.s;
	}		}
	// Released into public domain. By Nexii Malthus.</~~lsl~~>		// Released into public domain. By Nexii Malthus.</source>

	With full matrix:		With full matrix:
	<~~lsl~~>rotation mCat1 = <-0.5, 1.0, -0.5, 0.0>;		<source lang="lsl2">rotation mCat1 = <-0.5, 1.0, -0.5, 0.0>;
	rotation mCat2 = < 1.5, -2.5, 0.0, 1.0>;		rotation mCat2 = < 1.5, -2.5, 0.0, 1.0>;
	rotation mCat3 = <-1.5, 2.0, 0.5, 0.0>;		rotation mCat3 = <-1.5, 2.0, 0.5, 0.0>;
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	return T.xABCD.x + T.yABCD.y + T.zABCD.z + T.sABCD.s;		return T.xABCD.x + T.yABCD.y + T.zABCD.z + T.sABCD.s;
	}		}
	// Released into public domain. By Nexii Malthus.</~~lsl~~>		// Released into public domain. By Nexii Malthus.</source>
	\|examples=<~~lsl~~></~~lsl~~>		\|examples=<source lang="lsl2"></source>
	\|cat1=Examples		\|cat1=Examples
	}}		}}

Nexii Malthus: Created page with "{{LSL_Function |mode=user |func=fCos |p1_type=rotation|p1_name=H|p1_desc=The four floats are stored in a compact rotation format. |p2_type=float|p2_name=t |return_type=float |ret…"

2011-09-14T11:06:24Z

Created page with "{{LSL_Function |mode=user |func=fCos |p1_type=rotation|p1_name=H|p1_desc=The four floats are stored in a compact rotation format. |p2_type=float|p2_name=t |return_type=float |ret…"

New page

{{LSL_Function
|mode=user
|func=fCos
|p1_type=rotation|p1_name=H|p1_desc=The four floats are stored in a compact rotation format.
|p2_type=float|p2_name=t
|return_type=float
|return_value=returns the interpolation between x and y
|func_desc=
Catmull-Rom cubic interpolation spline of four floats with fraction t.
|spec=A bit more optimised:<lsl>float fCatmullRom(rotation H, float t) {
rotation ABCD = <
(H.x *-0.5) + (H.y * 1.5) + (H.z *-1.5) + (H.s * 0.5),
(H.x * 1.0) + (H.y *-2.5) + (H.z * 2.0) + (H.s *-0.5),
(H.x *-0.5) + (H.z * 0.5), (H.y * 1.0)
>;
rotation T; T.s = 1.0; T.z = t; T.y = T.z*T.z; T.x = T.y*T.z;
return T.x*ABCD.x + T.y*ABCD.y + T.z*ABCD.z + T.s*ABCD.s;
}
// Released into public domain. By Nexii Malthus.</lsl>

With full matrix:
<lsl>rotation mCat1 = <-0.5, 1.0, -0.5, 0.0>;
rotation mCat2 = < 1.5, -2.5, 0.0, 1.0>;
rotation mCat3 = <-1.5, 2.0, 0.5, 0.0>;
rotation mCat4 = < 0.5, -0.5, 0.0, 0.0>;
float fCatmullRom(rotation H, float t) {
rotation ABCD = <
(H.x * mCat1.x) + (H.y * mCat2.x) + (H.z * mCat3.x) + (H.s * mCat4.x),
(H.x * mCat1.y) + (H.y * mCat2.y) + (H.z * mCat3.y) + (H.s * mCat4.y),
(H.x * mCat1.z) + (H.y * mCat2.z) + (H.z * mCat3.z) + (H.s * mCat4.z),
(H.x * mCat1.s) + (H.y * mCat2.s) + (H.z * mCat3.s) + (H.s * mCat4.s)
>;
rotation T; T.s = 1.0; T.z = t; T.y = T.z*T.z; T.x = T.y*T.z;
return T.x*ABCD.x + T.y*ABCD.y + T.z*ABCD.z + T.s*ABCD.s;
}
// Released into public domain. By Nexii Malthus.</lsl>
|examples=<lsl></lsl>
|cat1=Examples
}}

Interpolation/Catmull-Rom/Float - Revision history

ObviousAltIsObvious Resident: tag to

Nexii Malthus: Created page with "{{LSL_Function |mode=user |func=fCos |p1_type=rotation|p1_name=H|p1_desc=The four floats are stored in a compact rotation format. |p2_type=float|p2_name=t |return_type=float |ret…"