Quaternion

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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

float, float, float fromQuaternion(rotx,roty,rotz,rotw)

Required Arguments

  • rotx,roty,rotz,rotw: The quaternion from IPL file

Returns

  • rotx,roty,rotz: The Euler angle

Code

Click to collapse [-]
Server- and/or clientside Script
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] = {(-(y*y)-(z*z)), x*y, x*z},
		[2] = {x*y, (-(x*x)-(z*z)), y*z},
		[3] = {x*z, y*z, (-(x*x)-(y*y))} 
	}

	local antiSymetricalMatrix = {
		[1] = {0, -z, y},
		[2] = {z, 0, -x},
		[3] = {-y, x, 0}
	}
 
	for i = 1, 3 do 
		for j = 1, 3 do
			matrix3x3[i][j] = identityMatrix[i][j]+(2*symetricalMatrix[i][j])+(2*w*antiSymetricalMatrix[i][j])
		end
	end
	
	return matrix3x3
end

function getEulerAnglesFromMatrix(x1,y1,z1,x2,y2,z2,x3,y3,z3)
	local nz1,nz2,nz3
	nz3 = math.sqrt(x2*x2+y2*y2)
	nz1 = -x2*z2/nz3
	nz2 = -y2*z2/nz3
	local vx = nz1*x1+nz2*y1+nz3*z1
	local vz = nz1*x3+nz2*y3+nz3*z3
	return math.deg(math.asin(z2)),-math.deg(math.atan2(vx,vz)),-math.deg(math.atan2(x2,y2))
end

function fromQuaternion(x,y,z,w) 
	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

Example

Click to collapse [-]
Server- and/or clientside Script
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] = {(-(y*y)-(z*z)), x*y, x*z},
		[2] = {x*y, (-(x*x)-(z*z)), y*z},
		[3] = {x*z, y*z, (-(x*x)-(y*y))} 
	}

	local antiSymetricalMatrix = {
		[1] = {0, -z, y},
		[2] = {z, 0, -x},
		[3] = {-y, x, 0}
	}
 
	for i = 1, 3 do 
		for j = 1, 3 do
			matrix3x3[i][j] = identityMatrix[i][j]+(2*symetricalMatrix[i][j])+(2*w*antiSymetricalMatrix[i][j])
		end
	end
	
	return matrix3x3
end

function getEulerAnglesFromMatrix(x1,y1,z1,x2,y2,z2,x3,y3,z3)
	local nz1,nz2,nz3
	nz3 = math.sqrt(x2*x2+y2*y2)
	nz1 = -x2*z2/nz3
	nz2 = -y2*z2/nz3
	local vx = nz1*x1+nz2*y1+nz3*z1
	local vz = nz1*x3+nz2*y3+nz3*z3
	return math.deg(math.asin(z2)),-math.deg(math.atan2(vx,vz)),-math.deg(math.atan2(x2,y2))
end

function fromQuaternion(x,y,z,w) 
	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))

Author: KawaNoII (http://www.chinesemta.com) alexaxel705 ([email protected])

See Also

Table functions

  • addTableChangeHandler » This function monitors the changes of a table.
  • pairsByKeys » This function sort pairs table.
  • rangeToTable » This function converts a string range to a table containing number values.
  • setTableProtected » This function protects a table and makes it read-only.
  • setTableToSql » This function is used to save the table in the database (sql).
  • Sort_Functions » These functions are able to sort your tables by a key.
  • getKeyFromValueInTable » This function returns the key of the specified value in a table.
  • getTableFromSql » This functionality is used to obtain saved tables using the function (SetTableToSql ).
  • isValueInTable » This function returns true if the value exists in the table, false if the value does not exist in the table.
  • table.compare » This function checks whether two given tables are equal.
  • table.copy » This function copies a whole table and all the tables in that table.
  • table.deepmerge » This function deep merges two tables. Every nested table will be correspondingly merged.
  • table.element » This function returns a new table with only userdata content.
  • table.flip » This function returns the table from the last value to the first value, such as reflection.
  • table.fromString » This function converts string to a table.
  • table.getRandomRows » This function returns random rows from table.
  • table.map » This function goes through a table and replaces every field with the return of the passed function, where the field's value is passed as first argument and optionally more arguments.
  • table.merge » This function merges two or more tables together.
  • table.random » This function retrieves a random value from a table.
  • table.removeValue » This function removes a specified value from a table.
  • table.size » This function returns the absolute size of a table.

ACL functions

  • aclGroupClone » This function clone a group to another group with/without ACLs and/or objects.
  • renameAclGroup » This function gives an existing ACL group a new name.
  • getPlayersInACLGroup » This function returns all players in an ACL group.
  • isPlayerInACL » This function checks if a player element is in an ACL group.

Account functions

  • getPlayerFromAccountName » This function is used to obtain a player by the name of his account.
  • isPlayerAccount » This function checks if the account is a valid player account (account exists and is not a guest account)

Camera functions

  • smoothMoveCamera » This function allows you to create a cinematic camera flight.
  • sCamera » The function creates a speed camera in-game, fines speeding vehicles, and notifies the driver and take money from player based on vehicle speed.

Colshape functions

Cursor functions

Drawing functions

Effects functions

  • attachEffect » This function allows you attach an effect to an element.
  • setScreenFlash » This function will make the screen flash(like a screenshot).

Element functions

  • autoAttach » This function attaches one element into another at the same position and rotation they are.
  • attachElementToBone » This function allows you to attach an element to ped bone accurately using new bone functions.
  • getElementDirectionCardialPoint » This function returns the direction of the element according to the wind rose.
  • getElementSpeed » This function returns the specified element's speed in m/s, km/h or mph.
  • getElementUsingData » This function returns table elements that contains the elements data with the given key and value.
  • getElementZoneFullName » This function allows you to retrieve the zone full name of a element.
  • getElementsInDimension » This function returns a table of elements that are in the specified dimension.
  • getElementsWithinMarker » This function returns a table of elements that are within a marker's collision shape.
  • getNearestElement » This function returns the nearest element (of a specific type) to a player.
  • getPositionInFrontOfElement » This function returns position in provided distance away from element, including element's rotation.
  • isElementInAir » This function checks if an element is in air or not.
  • isElementInPhotograph » This function checks if an element is in the player's camera picture area.
  • isElementInRange » This function allows you to check if an element's range to a main point is within the maximum range.
  • isElementMoving » This function checks if an element is moving.
  • isElementPlayer » This function checks whether the element is a player or not.
  • isElementWithinAColShape » This function checks if an element is within a collision shape element.
  • multi_check » This function checks one element to many, handy and clean.
  • setElementSpeed » This function allows you to set the speed of an element in kph or mph units.

Events

  • onClientPlayerTimeChange » This code implements an event that is triggered when the player's real time change.
  • onPlayerZoneChange » This code implements an event that is triggered when the player enters a new area on the map.
  • onVehicleWeaponFire » This code implements an event that is triggered when a player in a vehicle fires a vehicle's weapon.

Input functions

  • bindControlKeys » This function allows you to bind each key bound to a control individually. Doing this bypasses a little MTA restriction.
  • unbindControlKeys » This function allows you to unbind each key bound to a control individually. Use this function with bindControlKeys.
  • getBoundControls » This function returns a table of control names that are bound to the specified key.
  • isCommandHandlerAdded » This function allows you to check if a command is added or not in the respective resource.

Data functions

  • levenshtein » This function can be used to calculate the Levenshtein distance between two strings.
  • gregorianToJalali » This function converts gregorian date to jalali/shamsi date.
  • byte2human » This function converts an integer (number of bytes) into a human-readable unit.
  • capitalize » This function capitalizes a given string.
  • convertDate » This function converts date to another look.
  • convertServerTickToTimeStamp » This function converts server ticks to a unix timestamp.
  • convertTextToSpeech » This function converts the provided text to a speech in the provided language which players can hear.
  • findRotation3D » This function takes two sets of XYZ coordinates. It returns the 3D direction from point A to point B.
  • findRotation » This function takes two points and returns the direction from point A to point B.
  • formatDate » This function formats a date on the basis of a format string and returns it.
  • formatNumber » This function formats large numbers by adding commas.
  • generateRandomASCIIString » This function returns a random string which uses ASCII characters.
  • generateString » This function generates a random string with any characters.
  • getAge » This function calculates the age of a given birthday.
  • getDistanceBetweenElements » Returns the distance between two elements.
  • getDistanceBetweenPointAndSegment2D » This function takes point coordinates and line (a segment) starting and ending coordinates. It returns the shortest distance between the point and the line.
  • getEasterDate » This function returns easter date monthday and month for a given year.
  • getElementRelatedAngle » This function returns the related angle between one element to another. This is useful to check which side an element is to another.
  • getFreeDimension » This function get free dimension.
  • getOffsetFromXYZ » This function allows you to take an entity and a position and calculate the relative offset between them accounting for rotations.
  • getPointFromDistanceRotation » This function finds a point based on a starting point, direction and distance.
  • getRealMonth » This function returns the current month name
  • getRGColorFromPercentage »This function returns two integers representing red and green colors according to the specified percentage.
  • getScreenRotationFromWorldPosition » This function returns a screen relative rotation to a world position.
  • getTimestamp » This function returns the UNIX timestamp of a specified date and time.
  • gradientString » This function transforms a string in a new coloured gradient string.
  • hex2rgb » This function convert hex to rgb.
  • hexColorToRGB » This function convert hex string/number to RGBA values.
  • isLeapYear » This function returns a boolean representing if a given year is a leap year.
  • isValidMail » This function checks whether a provided e-mail string is valid.
  • removeHex » This function is used to remove hexadecimal numbers (colors, for example) from strings.
  • RGBToHex » This function returns a string representing the color in hexadecimal.
  • RGBToHSV » This function convert RGB to HSV color space.
  • RGBToDecimal » This function convert RGB to Decimal color.
  • secondsToTimeDesc » This function converts a plain seconds-integer into a user-friendly time description.
  • string.count » This function counts the amount of occurences of a string in a string.
  • string.explode » This function splits a string at a given separator pattern and returns a table with the pieces.
  • string.insert » This function inserts a string within another string at a given position.
  • splitMultiple » This function improves the split function so that multiple characters can be used as the split at character.
  • switch » This function allows the value of a variable or expression to control the flow of program execution via a multiway branch.
  • tocolor2rgba » This function convert tocolor to rgba.
  • toHex » This function converts a decimal number to a hexadecimal number, as a fix to be used client-side.
  • var dump » This function outputs information about one or more variables using outputConsole.
  • wavelengthToRGBA » This function converts a physical wavelength of light to a RGBA color.
  • fixPersianString » This function returns a fixed sorted bilingual RTL for strings consisting of Farsi/Arabic and English.

GUI functions

  • centerWindow » This function centers a CEGUI window element responsively in any resolution.
  • isMouseOnGUICloseButton » This function allows you to check whether the mouse cursor/pointer is within a gui-window's native close button.
  • isMouseOnGuiElement » This function allows you to check whether or not your mouse is over a specific gui element, this is especially useful if the gui element has a parent.
  • guiMoveElement » This function moves guiElement by/like using moveObject.
  • guiSetStaticImageMovable » This function allows you to move a static image like a gui window.
Comboboxes
Gridlists
Labels
  • guiLabelAddEffect » This function add an effects to the gui-label like (shadow, outline).

Marker functions

Math functions

  • reMap » Re-maps a number from one range to another.
  • math.clamp » This function returns the number between range of numbers or it's minimum or maximum.
  • math.getBezierPoint » Get N-th order bezier point.
  • math.hypot » This function returns the Hypotenuse of the triangle given by sides x and y.
  • math.isPointInPolygon » Check if point is inside polygon or not.
  • math.lerp » Get val between two integer.
  • math.percent » This function returns a percentage from two number values.
  • math.polygonArea » Compute area of any polygon.
  • math.randomDiff » Generates a pseudo-random integer that's always different from the last random number generated.
  • math.rotVecToEulerAngle » Rotation Vector To Euler Angle
  • math.round » Rounds a number whereas the number of decimals to keep and the method may be set.
  • mathNumber » This function is a workaround for the client-side floating-point precision of 24-bits.
  • math.percentProgress » Returns a percentage progress from two specific values.
  • math.average » This function returns the simple arithmetic mean of multiple numbers.
  • math.absin » This function returns a formula representing the just positive half of a sine wave.

Map functions

Ped functions

  • getAlivePlayersInTeam » This function returns a table of the alive players in a team.
  • getGuestPlayers » This function gets a players not login or players Guest .
  • getOnlineAdmins » This function returns a table of all logged-in administrators.
  • getPedEyesPosition » This function allows you to get peds eyes position.
  • getPedGender » This function allows you to get peds their gender.
  • getPedMaxHealth » This function returns a pedestrians's maximum health by converting it from their maximum health stat.
  • getPedMaxOxygenLevel » This function returns a ped's maximum oxygen level by converting it from their maximum underwater stamina stat.
  • getPedWeaponSkill » This function returns a ped's corresponding weapon skill level name.
  • getPedHitBone » This function gets the approximate number of the bone where the ped is hit.
  • getPlayerFromNamePart » This function returns a player from partial name.
  • getPlayerFromSerial » This function returns a player from their serial.
  • getPlayersByData » This function returns a table of players that have the specified data name.
  • getPlayersInPhotograph » This function returns a table of all players in photograph.
  • getPlayersInVehicles » This function returns a table of the players insides vehicles from a specified dimension.
  • getPlayerNameFromID » This function will get the player name from the ID element data.
  • isPedAiming» This function checks if a pedestrian is aiming their weapon.
  • isPedAimingNearPed » This is similar to isPedAiming but uses a colshape to be more precise.
  • isPedDiving » This feature checks that pedestrian is diving in the water.
  • isPedDrivingVehicle » This function checks if a specified pedestrian is driving a vehicle.
  • isPedNearbyWall » This function checks if player/ped is nearby a objects like buildings or walls.
  • isPlayerInTeam » This function checks if a player is in a specified team.
  • setPedAttack » This function will make a ped attack a specified target.
  • setPedFollow » This function will make a ped follow a specified target.

Player functions

Resource functions

Sound functions

Browser functions

  • playVideo » This function plays a video on the screen.

Team functions

Vehicle functions

Weapon functions

Object functions

XML functions

  • getXMLNodes » This function returns all children of a XML node.

Engine functions

Utility

  • animate » This function allows you to use interpolateBetween without render event and easily used.
  • callClientFunction » This function allows you to call any client-side function from the server's side.
  • callServerFunction » This function allows you to call any server-side function from the client's side.
  • check » This function checks if its arguments are of the right type and calls the error-function if one is not.
  • checkPassiveTimer » This function allows you to use passive timers in your conditions. For example you want to prevent players repeatedly using a command.
  • coroutine.resume » This function applies a fix for hidden coroutine error messages.
  • compact » This function create table containing variables and their values.
  • getBanBySerial » This function returns the ban if the serial is banned.
  • getBanFromName » This functions returns the ban of the given playername.
  • getCurrentFPS » This function returns the frames per second at which GTA: SA is running.
  • getSkinNameFromID » This function returns the name of the skin from the given id.
  • IfElse » This function returns one of two values based on a boolean expression.
  • isLastExecuteInTimer » This function check if the execute is the last execute in the timer.
  • isMouseInCircle » This function checks if a cursor position is in circular area or not.
  • isMouseInPosition » This function allows you to check whether the mouse cursor/pointer is within a rectangular position.
  • iterElements » This function returns a time-saving iterator for your for-loops.
  • PlotTrajectoryAtTime » Calculate projectile/water trajectory.
  • preprocessor » This function allow you to use gcc macros.
  • vector3:compare » This method checks whether two vectors match, with optional precision.
  • svgCreateRoundedRectangle » This function creates a rectangle with rounded edges.
  • debounce » This function is removing unwanted input noise.
  • listAllFiles » This function lists all files and subdirectories within a given directory and its subdirectories.

String functions

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