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--Bent Arc Particle
local parameters = self.parameters
local finalMagnitude = parameters["BentArcFinalMagnitude"]
local velocity = parameters["BentArcVelocity"]
local azimuthStartRadians = parameters["BentArcAzimuthStartRadians"]
local elevationStartRadians = parameters["BentArcElevationStartRadians"]
local azimuthChangeRadians = parameters["BentArcAzimuthChangeRadians"]
local elevationChangeRadians = parameters["BentArcElevationChangeRadians"]
local magnitude
if finalMagnitude then
local magnitudeProgress = progress
end
elseif velocity then
end
local bendProgress = progress
end
local azimuthRadians = zo_lerp(azimuthStartRadians, azimuthStartRadians + azimuthChangeRadians, bendProgress)
local elevationRadians = zo_lerp(elevationStartRadians, elevationStartRadians + elevationChangeRadians, bendProgress)
--Spherical coordinates to Cartesian
--X is right, Y is up, Z is toward the screen
return x, y, z
end
end
end
--Control particles expect that Y is down
y = -y
local parameters = self.parameters
if parameters["BentArcOrientWithMotion"] then
--Numerical solution to orient along the spiral. We use the slope between the last two positions to compute the tangent to the spiral. The angle
--to orient the texture's right-middle point to the spiral is the 2*PI - the tangent's angle, or alternately minus the tangent's angle.
if self.lastX then
local offsetRadians = parameters["BentArcOrientWithMotionTextureRotationRadians"] or 0
end
self.lastX = x
self.lastY = y
end
end
end
-- Physics Particle
end
local MAX_ACCELERATIONS = 5
local ACCELERATION_ELEVATION_RADIANS_PARAMETER_NAMES = {}
local ACCELERATION_MAGNITUDE_PARAMETER_NAMES = {}
for accelerationIndex = 1, MAX_ACCELERATIONS do
table.insert(ACCELERATION_ELEVATION_RADIANS_PARAMETER_NAMES, "PhysicsAccelerationElevationRadians" .. accelerationIndex)
table.insert(ACCELERATION_MAGNITUDE_PARAMETER_NAMES, "PhysicsAccelerationMagnitude" .. accelerationIndex)
end
self.velocityX = 0
self.velocityY = 0
local parameters = self.parameters
local initialVelocityElevationRadians = parameters["PhysicsInitialVelocityElevationRadians"]
if initialVelocityElevationRadians then
local initialVelocityMagnitude = parameters["PhysicsInitialVelocityMagnitude"]
if initialVelocityMagnitude then
end
end
local combinedAccelerationX = 0
local combinedAccelerationY = 0
for accelerationIndex = 1, MAX_ACCELERATIONS do
local accelerationElevationRadians = parameters[ACCELERATION_ELEVATION_RADIANS_PARAMETER_NAMES[accelerationIndex]]
if not accelerationElevationRadians then
break
end
local accelerationMagnitude = parameters[ACCELERATION_MAGNITUDE_PARAMETER_NAMES[accelerationIndex]]
if not accelerationMagnitude then
break
end
combinedAccelerationX = combinedAccelerationX + accelerationX
combinedAccelerationY = combinedAccelerationY + accelerationY
end
self.combinedAccelerationX = combinedAccelerationX
self.combinedAccelerationY = combinedAccelerationY
end
--Numerical can do complex calculations like drag, but it does so by doing calculations in intervals, since it's not a simple equation of time
end
do
local DEFAULT_MIN_STEPS_PER_SECOND = 30
local MAX_STEPS_FOR_UPDATE = 10
self.lastUpdateTimeS = self.startTimeS
self.displacementX = 0
self.displacementY = 0
local parameters = self.parameters
local minStepsPerSecond = parameters["PhysicsMinStepsPerSecond"] or DEFAULT_MIN_STEPS_PER_SECOND
self.minStepIntervalS = 1 / minStepsPerSecond
self.maxTimeForMinStepIntervalsS = self.minStepIntervalS * MAX_STEPS_FOR_UPDATE
self.dragMultiplier = parameters["PhysicsDragMultiplier"] or 0
end
local lastUpdateTimeS = self.lastUpdateTimeS
local timeSinceLastUpdateS = timeS - lastUpdateTimeS
local stepsIntervalS = self.minStepIntervalS
if timeSinceLastUpdateS < stepsIntervalS then
stepsIntervalS = timeSinceLastUpdateS
elseif timeSinceLastUpdateS > self.maxTimeForMinStepIntervalsS then
-- If we've hit a long spike since the last update, split the delta into equal intervals looping up to MAX_STEPS_FOR_UPDATE times to catch up
stepsIntervalS = timeSinceLastUpdateS / MAX_STEPS_FOR_UPDATE
end
local displacementX = self.displacementX
local displacementY = self.displacementY
local velocityX = self.velocityX
local velocityY = self.velocityY
local velocityChangePerStepX = self.combinedAccelerationX * stepsIntervalS
local velocityChangePerStepY = self.combinedAccelerationY * stepsIntervalS
local dragMultiplier = self.dragMultiplier
repeat
local dragVelocityChangeX = velocityX * dragMultiplier * stepsIntervalS
local dragVelocityChangeY = velocityY * dragMultiplier * stepsIntervalS
velocityX = velocityX + velocityChangePerStepX - dragVelocityChangeX
velocityY = velocityY + velocityChangePerStepY - dragVelocityChangeY
----------------------------------------------------------------------
displacementX = displacementX + (velocityX * stepsIntervalS)
displacementY = displacementY + (velocityY * stepsIntervalS)
lastUpdateTimeS = lastUpdateTimeS + stepsIntervalS
until (lastUpdateTimeS + stepsIntervalS) > timeS
self.lastUpdateTimeS = lastUpdateTimeS
self.displacementX = displacementX
self.displacementY = displacementY
self.velocityX = velocityX
self.velocityY = velocityY
--Control particles expect that Y is down
end
end
--Analytical calculates physics as a direct equation of elapsed time. Does not support complex functionality like drag
end
local elapsedTimeS = timeS - self.startTimeS
local velocityChangeX = self.combinedAccelerationX * elapsedTimeS
local velocityChangeY = self.combinedAccelerationY * elapsedTimeS
local x = (self.velocityX + velocityChangeX) * elapsedTimeS
local y = (self.velocityY + velocityChangeY) * elapsedTimeS
--Control particles expect that Y is down
end
--Stationary Paricle
end
-- Offset is handled in the base update, and SetPosition takes that into consideration
end
--Leaf Particle
--A leaf like motion to the right and down from the origin, based on following sections of a tangent curve. Specify the top and bottom (y-values) and the leaf will move through that
--section of the tangent curve. Descent is a factor on the tangent curve (0, infinity). Higher descents make a steeper curve, while lower descents mean a gentler curve. Fall height is the
--UI space height that the curve will be mapped to. The code that orients the leaf to the direction of travel assumes that the leaf point is a 0 degrees on the unit circle. If that is not true
--it can be corrected by rotating the leaf using LeafTextureRotationRadians.
end
--Inverse of y = -descent * tan(x)
end
local parameters = self.parameters
end
local parameters = self.parameters
end
local sectionTopY = parameters["LeafSectionTop"]
local sectionBottomY = parameters["LeafSectionBottom"]
local descent = parameters["LeafDescent"]
local sectionHeight = sectionTopY - sectionBottomY
local fallHeight = parameters["LeafFallHeight"]
local leafTextureRotationRadians = parameters["LeafTextureRotationRadians"]
--We move linearly from 0 to fallHeight along the Y (This means that the more the curve travels in the X the faster it goes through that section. It is not constant velocity).
local offsetY = fallHeight * progress
--Figure out where we are vertically on the section of the tangent curve
--Find the X the corresponds to that Y
--Convert that to an offset from the starting X value
local sectionOffsetX = sectionX - self.sectionTopX
--Finally, scale this offset to UI coordinates using the correspondence between the section height and the fall height to determine the scaling factor
local offsetX = (sectionOffsetX / sectionHeight) * fallHeight
--The derivative of -descent * tan(x) is -descent/cos^2(x). Orient the texture 0 radian point to the direction of travel.
local slope = -descent / (cosSectionX * cosSectionX)
local tumbleRadians = parameters["LeafTumbleRadians"]
self.textureControl:SetTextureRotation(math.atan(slope) + leafTextureRotationRadians + tumbleRadians * progress)
end
--Flow Particle
--Sends the particle through a series of "posts" that describe a set of vertical ranges. For example:
--
--
-- * * * * * *
-- * * * * * * * * * *
-- * * * * * * * **
-- * * * * *
--
--Particles will be assigned a normalized vertical offset and travel from post to post across where that normalized offset would lie.
--For example, if a particle was assigned 50% it would travel through the middle of each post, interpolating from middle to middle inbetween the posts.
end
end
local parameters = self.parameters
local areaTop = parameters["FlowAreaTop"]
local areaBottom = parameters["FlowAreaBottom"]
local areaLeft = parameters["FlowAreaLeft"]
local areaRight = parameters["FlowAreaRight"]
local normalizedPosts = parameters["FlowNormalizedPosts"]
local numPosts = #normalizedPosts
local temp = progress * (numPosts - 1)
local progressBetweenPosts = temp % 1
local previousPost = normalizedPosts[previousPostIndex]
--the or handles the case where progress is exactly 1
local nextPost = normalizedPosts[previousPostIndex + 1] or normalizedPosts[numPosts]
--index 1 holds the top of the post and index 2 holds the bottom of the post
end |