px,py,pz - Position
rx,ry,rz - Rotation
sx,sy,sz - Scale
u,v,w - UVW
id - Object Index
count - Object Count
falloff - Falloff weight
t - Project Time[-∞..+∞]
f - Frequency[-∞..+∞]
Conditional
?(a;b)
(3>4)?(10;20)
?(a;b)
Arguments such as mod(a;b) must be separated by a semi-colon or by squared brackets [] (then without curved brackets)
rnd(100) is the same as rnd[100] and rnd(100;234) is the same as rnd([100][234]).
km Kilometer 1km = 1000m
m Meter 144 - 14 = 130
cm Centimeter 1cm = 0.01m
mm Millimeter 1mm = 0.001m
um Micrometer 1um = 0.000001m
nm Nanometer 1nm = 0.000000001m
mi Mile 1mi = 1609.344 m
yd Yard 1yd = 0.914m
ft Foot 1ft = 0.305m
in Inch 1in = 0.025m
B Frame Number
Logical Operators
= Equal compare 1km = 1000m
== Equal compare 144 - 14 = 130
> Greater than 1cm = 0.01m
< Less than 1mm = 0.001m
>= Greater than or equal compare 1um = 0.000001m
<= Less than or equal compare 1nm = 0.000000001m
!= Not equal compare 1mi = 1609.344 m
! Not 1yd = 0.914m
|| or. or Or 1ft = 0.305m
&& or. and And 1in = 0.025m
& Bitwise and
| Bitwise or
^ Bitwise xor
~ Bitwise not
?(a; b) Condition, if statement: a, then b (3 > 4) ? (10; 20) = 20; kann ebenfalls
so formuliert werden: if(3 > 4; 10; 20)
Constants
e The constant e (Euler Number) = 2.71828
pi The constant Pi (circular number) = 3.14159
pi05 Half Pi
pi2 Double Pi
piinv Inverse Pi
pi05inv Half inverse Pi
pi2inv Double inverse Pi
// Functions
sin(a) Sinus
cos(a) Cosinus
acos(a) Arcus cosinus
asin(a) Arcus Sinus
tan(a) Tangent
atan(a) Arcus tangent
cosh(a) Cosinus hyerbolicus
sinh(a) Sinus hyerbolicus
tanh(a) Tangent hyerbolicus
floor(a) Round down floor(11.8) = 11
ceil(a) Round up ceil(11.2) = 12
round(a) Rund round(11.8) = 12
abs(a) Absolute / Value abs(-11) = 11
sqr(a) Square exponentiation sqr(5) = 25
sqrt(a) Square root sqrt(49) = 7
exp(a) Exponential function exp(5) = 148.41
log10(a) Logarithm to the base of10 log10(100) = 2
log(a) Logarithm to the base of e log(e) = 1
trunc(a) Truncates a number trunc(-11.8987) = -11
rnd(a{; b}) Random or 0 and a, opt. b as seed
pow(a; b) Exponentiation pow(2; 3) = 8
mod(a; b) Modulo mod(10; 4) = 2
clamp(a; b; c) Clamps val. of c or a & b clamp(2; 6; 10) = 6
min(a; b) Minimum value a or b min(4; 7) = 4
max(a; b) Maximum value a or b max(4; 7) = 7
(a) << (b) Bitwise shift to left 1 << 4 = 16
(a) shl
Getting Started
Concepts
White to dark vertical
id/count
Dark to white center, vertical
1 - abs(mod(id/count; 1) - 0.5)*2
Dark to white center, horizontal
1 - abs(mod(u; 1) - 0.5)*2
Radial - White to Dark Center
sqrt(px*px + py*py + pz*pz)/1000
Formula Library
Default/Wave
/0.5 + sin( ( subfields + ( id / count ) + d ) * f * 360 ) * 0.5
