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Simple Mathematical Functions
Function Reference
Rounding Functions
Random Number Functions
Use the following functions
to create curves based on random values.
rand
Returns
a random value between -1 and 1, based on the value used as an argument,
called the seed. Using the same seed in
the rand function for multiple channels produces the exact same
results. To create completely random results, use the true rand function.
| Syntax: |
rand(Seed) |
| Arguments: |
- Seed is the value used to generate the
random return value. This is usually set to a changing value such
as the current frame number.
|
| Examples: |
- rand(frame % 10) * 50 + 50 returns a
set of random values between0 and 100 that repeats every 10 frames.
- rand(frame) * 100 returns a random value
between -100 and 100for every frame in the animation. The following
curve shows the result of this function:
|
truerand
Returns
a truly random value between two given numbers. The sequence of
returned values will constantly change, never reproducing past results.
| Syntax: |
truerand(Low, High) |
| Arguments: |
- Low and High are the upper and lower bounds,
respectively, of the random number to generate.
|
| Example: |
- truerand(-5.5,10.8) returns a truly random value
between -5.5and 10.8.
|
noise
Returns
a random value between -1 and 1, based on a given vector. If the
parameter varies smoothly, this function will return a continuously
changing value that also varies smoothly.
| Syntax: |
noise(Position) |
| Arguments: |
- Position is a vector used as a seed for
the returned random value.
|
| Examples: |
- noise(frame) * 5 returns a continuous
random value between-5 and 5.
- (noise(axis1.position) + 1) / 2 * 100
returns a continuous random value between 0 and 100.
- noise(axis1.position) * 100 yields the
following curve:
|
noise3
Returns
a random vector for all elements in a vector between -1 and 1. If
the parameter varies smoothly, this function will return a vector
of continuously changing values that also vary smoothly.
| Syntax: |
noise3(Position) |
| Arguments: |
- Position is a vector used as a seed for
the returned random vector.
|
| Examples: |
- noise3(frame) * 5 returns a vector of continuous
random values between -5 and 5.
- (noise3(axis1.position) + 1) / 2 * 100
returns a vector of continuous random values between 0 and 100.
- noise3(axis1.position) * 100 returns
the following three curves:
|
fnoise
Returns
a random value between -1 and 1, based on a given vector. If the
parameter varies smoothly, this function will return a continuously
changing value that also varies smoothly to a fractal pattern. This
function is similar to the noise function, but it applies a fractal
pattern to the result.
| Syntax: |
fnoise(Position) |
| Arguments: |
- Position is a vector used as a seed for
the returned random value.
|
| Examples: |
- fnoise(frame) * 5 returns a continuous random
value between-5 and 5.
- (fnoise(axis1.position) + 1) / 2 * 100
returns a continuous random value between 0 and 100.
- fnoise(axis1.position) * 100 yields the
following curve:
|
turbulence
Returns
a random value between -1 and 1, based on a given vector and with
the ability to control the level of smoothness for the resulting
curve.
| Syntax: |
turbulence(Position, Level) |
| Arguments: |
- Position is a vector used as a seed for
the returned random value.
- Level is a positive integer where the
greater the value, the greater the jitter applied to the resulting
curve. If this argument is set to a value less than 1, the level
will be treated as if 1 were used. If it is set to a number with
a fractional component, the number will be rounded down to the nearest
integer.
|
| Examples: |
- turbulence(axis1.position, 1) * 100 yields
the following curve:
- turbulence(axis1.position, 8) * 100 yields
the following curve:
|
turbulence3
Returns
a random vector for all elements in a vector between -1 and 1, along
with the ability to control the smoothness of the resulting curve.
If the position parameter varies smoothly, this function will return
a vector of continuously changing values that also vary smoothly.
| Syntax: |
turbulence3(Position, Level) |
| Arguments: |
- Position is a vector used as a seed for
the returned random vector.
- Level is a positive integer used to control
the level of jitter of the resulting curve. If this argument is
set to a value less than 1, the level will be treated as if 1 were
used. If it is set to a number with a fractional component, the
number will be rounded down to the nearest integer.
|
| Examples: |
- turbulence3(axis1.position, 1) * 100
returns the following three curves:
- turbulence3(axis1.position, 8) * 100
returns the following three curves:
|
