Useful expressions and formulas

Offsetting a position by angle and distance

x = x + cos(angle ) * distance
y = y + sin(angle ) * distance

This can be used to cast rays or calculate movement vectors and many more

Framerate independent lerp

x = lerp(self.X, target.X, 1 - speed ^ dt)

speed can be a number from 0-1, the closer to 0 the faster it moves to the target

Remapping a range to a different range

lerp(start1, stop1, unlerp(start2, stop2, value))

the returned range will be between start1 and stop1 If the value goes over or under the start2, stop2 range the returned value will still continue to grow at the scale of start1, start2. If you want to avoid that you can wrap it with clamp(theFormulaAbove, start1, stop2)

source: XHXIAIEIN

Wrapping around a number from 0 to a maximum

value = (number % maximum + maximum) % maximum

the number wraps around at less than 0 and at greater or equal maxOptions

source: hcatarrunas

Displaying time

days = zeropad(floor(TimeInSeconds / 84600), 2)

hours = zeropad(floor(TimeInSeconds / 3600), 2)

minutes = zeropad(floor(TimeInSeconds / 60), 2)

seconds = zeropad(int((TimeInSeconds) % 60), 2)

milliseconds = mid(tokenat(str(TimeInSeconds), 1, "."), 0, 3)

alternatively you can use the Date objects expressions to do this e.g. Date.GetMinutes() (the Date object expects Milliseconds and does not zeropad)

source: Jobel

Snapping a position to a grid

Top left

x = floor(x / gridSize) * gridSize
y = floor(y / gridSize) * gridSize

Center

x = floor(x / gridSize) * gridSize + gridsize / 2
y = floor(y / gridSize) * gridSize + gridsize / 2

Converting decibel to 0-100% volume

decibel = 33 * log10(percent / 100)

percent = 100 * 10 ^(decibel / 33)

source: R0J0Hound

Performance information

fps&" FPS | "&roundToDp(cpuutilisation*100,1)&"% CPU | "&roundToDp(gpuutilisation*100,1)&"% GPU"

set a text objects text to this ever 0.1 seconds for some decently formatted performance information i.e. FPS, GPU and CPU usage