Quaternion - Revision history

Alexaxel705: /* Syntax */

2017-06-26T11:45:47Z

Syntax

← Older revision		Revision as of 11:45, 26 June 2017
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	==Syntax==		==Syntax==
	<syntaxhighlight lang="lua">		<syntaxhighlight lang="lua">
	float, float, float fromQuaternion ( rotx,roty,rotz,rotw)		float, float, float fromQuaternion(rotx,roty,rotz,rotw)
	</syntaxhighlight>		</syntaxhighlight>

Alexaxel705: /* Example */

2017-06-26T11:42:53Z

Example

← Older revision		Revision as of 11:42, 26 June 2017
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	local rotx, roty, rotx, rotw = 0, 0, 0.190809, 0.9816272 -- you can read the Quaternion from IPL file		local rotx, roty, rotx, rotw = 0, 0, 0.190809, 0.9816272 -- you can read the Quaternion from IPL file
	createObject(1337, 5540.6654, 1020.55122, 1240.545,fromQuaternion(rotx, roty, rotx, rotw))		createObject(1337, 5540.6654, 1020.55122, 1240.545, fromQuaternion(rotx, roty, rotx, rotw))
	</syntaxhighlight>		</syntaxhighlight>
	</section>		</section>

	Author: KawaNoII (http://www.chinesemta.com)		Author: KawaNoII (http://www.chinesemta.com)
			alexaxel705 (alexaxel705@gmail.com)

	==See Also==		==See Also==
	{{Useful_Functions}}		{{Useful_Functions}}

Alexaxel705: /* Example */

2017-06-26T11:40:51Z

Example

← Older revision		Revision as of 11:40, 26 June 2017
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	<section name="Server- and/or clientside Script" class="both" show="true">		<section name="Server- and/or clientside Script" class="both" show="true">
	<syntaxhighlight lang="lua">		<syntaxhighlight lang="lua">
			local identityMatrix = {
			[1] = {1, 0, 0},
			[2] = {0, 1, 0},
			[3] = {0, 0, 1}
			}

			function QuaternionTo3x3(x,y,z,w)
			local matrix3x3 = {[1] = {}, [2] = {}, [3] = {}}

			local symetricalMatrix = {
			[1] = {(-(yy)-(zz)), xy, xz},
			[2] = {xy, (-(xx)-(zz)), yz},
			[3] = {xz, yz, (-(xx)-(yy))}
			}

	~~function math.arad(number)~~		local antiSymetricalMatrix = {
	~~if type(number)~~ == ~~"number" then~~		[1] = {0, -z, y},
	~~return~~ (~~number/~~(~~math.pi~~2)~~)360~~		[2] = {z, 0, -x},
			[3] = {-y, x, 0}
			}

			for i = 1, 3 do
			for j = 1, 3 do
			matrix3x3[i][j] = identityMatrix[i][j]+(2symetricalMatrix[i][j])+(2w*antiSymetricalMatrix[i][j])
			end
	end		end

			return matrix3x3
	end		end

	function ~~fromQuaternion~~(x,y,z,w)		function getEulerAnglesFromMatrix(x1,y1,z1,x2,y2,z2,x3,y3,z3)
	local ~~heading~~ = math.atan2(2(wx+yz),1-2~~(x^2+y^2))~~		local nz1,nz2,nz3
	~~local attitude~~ = ~~math.asin(wy~~-zx)		nz3 = math.sqrt(x2x2+y2y2)
	local ~~bank~~ = ~~math.atan2(2~~(wz+x~~y),1-2~~~~(y^2~~+~~z^2))~~		nz1 = -x2*z2/nz3
	return math.~~arad~~(~~heading~~),math.~~arad~~(~~attitude~~),math.~~arad~~(~~bank~~)		nz2 = -y2*z2/nz3
			local vx = nz1x1+nz2y1+nz3*z1
			local vz = nz1x3+nz2y3+nz3*z3
			return math.deg(math.asin(z2)),-math.deg(math.atan2(vx,vz)),-math.deg(math.atan2(x2,y2))
	end		end

	~~local rotx~~, ~~roty~~, ~~rotx~~, ~~rotw~~ = ~~233~~,~~666~~,~~888~~,~~999 -- you can read the Quaternion from IPL file~~		function fromQuaternion(x,y,z,w)
	~~createObject~~ ( ~~1337~~, ~~5540.6654~~, ~~1020.55122~~, ~~1240.545~~,~~fromQuaternion(rotx~~, ~~roty~~, ~~rotx~~, ~~rotw)~~)		local matrix = QuaternionTo3x3(x,y,z,w)
			local ox,oy,oz = getEulerAnglesFromMatrix(
			matrix[1][1], matrix[1][2], matrix[1][3],
			matrix[2][1], matrix[2][2], matrix[2][3],
			matrix[3][1], matrix[3][2], matrix[3][3]
			)

			return ox,oy,oz
			end

			local rotx, roty, rotx, rotw = 0, 0, 0.190809, 0.9816272 -- you can read the Quaternion from IPL file
			createObject(1337, 5540.6654, 1020.55122, 1240.545,fromQuaternion(rotx, roty, rotx, rotw))
	</syntaxhighlight>		</syntaxhighlight>
	</section>		</section>

Alexaxel705: /* Code */

2017-06-26T11:39:36Z

Code

@@ Line 18: / Line 18: @@
 <section name="Server- and/or clientside Script" class="both" show="true">
 <syntaxhighlight lang="lua">
-function math.arad(number)
+local identityMatrix = {
-	if type(number) == "number" then
+	[1] = {1, 0, 0},
-		return (number/(math.pi*2))*360
+	[2] = {0, 1, 0},
 	end
 end
 function fromQuaternion(x,y,z,w)
-	local heading = math.atan2(2*(w*x+y*z),1-2*(x^2+y^2))
+	local matrix = QuaternionTo3x3(x,y,z,w)
-	local attitude = math.asin(w*y-z*x)
+	local ox,oy,oz = getEulerAnglesFromMatrix(
-	local bank = math.atan2(2*(w*z+x*y),1-2*(y^2+z^2))
+		matrix[1][1], matrix[1][2], matrix[1][3],
-	return math.arad(heading),math.arad(attitude),math.arad(bank)
+		matrix[2][1], matrix[2][2], matrix[2][3],
 end
 </syntaxhighlight>

Talidan at 20:50, 23 September 2016

2016-09-23T20:50:40Z

← Older revision		Revision as of 20:50, 23 September 2016
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	==Example==		==Example==
	<section name="Server- and/or clientside Script" class="both" show="true">		<section name="Server- and/or clientside Script" class="both" show="true">
	<syntaxhighlight ~~lang="lua"~~ lang="lua">		<syntaxhighlight lang="lua">

	function math.arad(number)		function math.arad(number)

傲娇猪皮 at 08:27, 11 December 2014

2014-12-11T08:27:13Z

← Older revision		Revision as of 08:27, 11 December 2014
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	===Required Arguments===		===Required Arguments===
	* '''rotx,roty,rotz,rotw''': ~~the~~ quaternion from IPL file		* '''rotx,roty,rotz,rotw''': The quaternion from IPL file

	===Returns===		===Returns===
	* '''rotx,roty,rotz''': ~~the~~ Euler angle		* '''rotx,roty,rotz''': The Euler angle

	==Code==		==Code==

傲娇猪皮 at 08:26, 11 December 2014

2014-12-11T08:26:02Z

← Older revision		Revision as of 08:26, 11 December 2014
Line 6:		Line 6:
	==Syntax==		==Syntax==
	<syntaxhighlight lang="lua">		<syntaxhighlight lang="lua">
	float, float, float ~~toQuaternion~~ ( rotx,roty,rotz,rotw)		float, float, float fromQuaternion ( rotx,roty,rotz,rotw)
	</syntaxhighlight>		</syntaxhighlight>

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	end		end

	function ~~toQuaternion~~(x,y,z,w)		function fromQuaternion(x,y,z,w)
	local heading = math.atan2(2(wx+yz),1-2(x^2+y^2))		local heading = math.atan2(2(wx+yz),1-2(x^2+y^2))
	local attitude = math.asin(wy-zx)		local attitude = math.asin(wy-zx)
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	end		end

	function ~~toQuaternion~~(x,y,z,w)		function fromQuaternion(x,y,z,w)
	local heading = math.atan2(2(wx+yz),1-2(x^2+y^2))		local heading = math.atan2(2(wx+yz),1-2(x^2+y^2))
	local attitude = math.asin(wy-zx)		local attitude = math.asin(wy-zx)
Line 51:		Line 51:

	local rotx, roty, rotx, rotw = 233,666,888,999 -- you can read the Quaternion from IPL file		local rotx, roty, rotx, rotw = 233,666,888,999 -- you can read the Quaternion from IPL file
	createObject ( 1337, 5540.6654, 1020.55122, 1240.545,~~toQuaternion~~(rotx, roty, rotx, rotw))		createObject ( 1337, 5540.6654, 1020.55122, 1240.545,fromQuaternion(rotx, roty, rotx, rotw))

	</syntaxhighlight>		</syntaxhighlight>

傲娇猪皮 at 08:24, 11 December 2014

2014-12-11T08:24:29Z

← Older revision		Revision as of 08:24, 11 December 2014
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	<section name="Server- and/or clientside Script" class="both" show="true">		<section name="Server- and/or clientside Script" class="both" show="true">
	<syntaxhighlight lang="lua">		<syntaxhighlight lang="lua">
			function math.arad(number)
			if type(number) == "number" then
			return (number/(math.pi2))360
			end
			end

	function toQuaternion(x,y,z,w)		function toQuaternion(x,y,z,w)
	local heading = math.atan2(2(wx+yz),1-2(x^2+y^2))		local heading = math.atan2(2(wx+yz),1-2(x^2+y^2))
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	<section name="Server- and/or clientside Script" class="both" show="true">		<section name="Server- and/or clientside Script" class="both" show="true">
	<syntaxhighlight lang="lua" lang="lua">		<syntaxhighlight lang="lua" lang="lua">

			function math.arad(number)
			if type(number) == "number" then
			return (number/(math.pi2))360
			end
			end

	function toQuaternion(x,y,z,w)		function toQuaternion(x,y,z,w)
	local heading = math.atan2(2(wx+yz),1-2(x^2+y^2))		local heading = math.atan2(2(wx+yz),1-2(x^2+y^2))
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	end		end

	local rotx,roty,~~rotz~~ = toQuaternion(x,y,z,w)		local rotx, roty, rotx, rotw = 233,666,888,999 -- you can read the Quaternion from IPL file
			createObject ( 1337, 5540.6654, 1020.55122, 1240.545,toQuaternion(rotx, roty, rotx, rotw))

	</syntaxhighlight>		</syntaxhighlight>

傲娇猪皮 at 08:17, 11 December 2014

2014-12-11T08:17:19Z

← Older revision		Revision as of 08:17, 11 December 2014
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	<lowercasetitle>Quaternion</lowercasetitle>		<lowercasetitle>Quaternion</lowercasetitle>
	__NOTOC__		__NOTOC__
	This function returns the Euler angle(rotx,roty,rotz) from quaternion(rotx,roty,rotz,rotw).this is non-mtasa function, user need put this function in your lua scripts.		Quaternion is used to define the rotation angle by GTA:SA game engine, which is different from MTASA which is based on Euler angle
			This function returns the Euler angle(rotx,roty,rotz) from quaternion(rotx,roty,rotz,rotw).this is non-mtasa function, user need to put this function in your lua scripts.
	==Syntax==		==Syntax==
	<syntaxhighlight lang="lua">		<syntaxhighlight lang="lua">

傲娇猪皮: Created page with "{{Useful Function}} Quaternion NOTOC This function returns the Euler angle(rotx,roty,rotz) from quaternion(rotx,roty,rotz,rotw).this is no..."

2014-12-11T08:13:05Z

Created page with "{{Useful Function}} <lowercasetitle>Quaternion</lowercasetitle> __NOTOC__ This function returns the Euler angle(rotx,roty,rotz) from quaternion(rotx,roty,rotz,rotw).this is no..."

New page

{{Useful Function}}
<lowercasetitle>Quaternion</lowercasetitle>
__NOTOC__
This function returns the Euler angle(rotx,roty,rotz) from quaternion(rotx,roty,rotz,rotw).this is non-mtasa function, user need put this function in your lua scripts.

==Syntax==
<syntaxhighlight lang="lua">
float, float, float toQuaternion ( rotx,roty,rotz,rotw)
</syntaxhighlight>

===Required Arguments===
* '''rotx,roty,rotz,rotw''': the quaternion from IPL file

===Returns===
* '''rotx,roty,rotz''': the Euler angle

==Code==
<section name="Server- and/or clientside Script" class="both" show="true">
<syntaxhighlight lang="lua">
function toQuaternion(x,y,z,w)
local heading = math.atan2(2*(w*x+y*z),1-2*(x^2+y^2))
local attitude = math.asin(w*y-z*x)
local bank = math.atan2(2*(w*z+x*y),1-2*(y^2+z^2))
return math.arad(heading),math.arad(attitude),math.arad(bank)
end
</syntaxhighlight>
</section>

==Example==
<section name="Server- and/or clientside Script" class="both" show="true">
<syntaxhighlight lang="lua" lang="lua">
function toQuaternion(x,y,z,w)
local heading = math.atan2(2*(w*x+y*z),1-2*(x^2+y^2))
local attitude = math.asin(w*y-z*x)
local bank = math.atan2(2*(w*z+x*y),1-2*(y^2+z^2))
return math.arad(heading),math.arad(attitude),math.arad(bank)
end

local rotx,roty,rotz = toQuaternion(x,y,z,w)

</syntaxhighlight>
</section>

Author: KawaNoII (http://www.chinesemta.com)

==See Also==
{{Useful_Functions}}

Quaternion - Revision history

Alexaxel705: /* Syntax */

Alexaxel705: /* Example */

Alexaxel705: /* Example */

Alexaxel705: /* Code */

Talidan at 20:50, 23 September 2016

傲娇猪皮 at 08:27, 11 December 2014

傲娇猪皮 at 08:26, 11 December 2014

傲娇猪皮 at 08:24, 11 December 2014

傲娇猪皮 at 08:17, 11 December 2014

傲娇猪皮: Created page with "{{Useful Function}} Quaternion __NOTOC__ This function returns the Euler angle(rotx,roty,rotz) from quaternion(rotx,roty,rotz,rotw).this is no..."

傲娇猪皮: Created page with "{{Useful Function}} Quaternion NOTOC This function returns the Euler angle(rotx,roty,rotz) from quaternion(rotx,roty,rotz,rotw).this is no..."