FUNS
The FUN Equations
16-11
warp2(a, b)
We call this equation Slant-square.™ Again, the value of input a controls the mapping of values
for input b. If input b is a sawtooth wave, different values for input a will turn it into a number
of variations on square waves.
warp3(a, b)
We call this one the Variable Inverter.™ It looks at the binary numbers that represent the values
of inputs a and b, compares the corresponding bits in each number, and performs an XOR
operation on them (we’ll explain that below). The resulting number is converted into the
output value. This can produce some erratic results, but if variety is what you’re after, this
equation will give it to you. You’ll get your best results when input b is an LFO with a slow
rate.
The XOR operation is a subprogram that applies a truth table to each of the digits in the binary
numbers that represent the values of inputs a and b. Each of these numbers is a string of 16
digits (bits); each bit is either a 0 or a 1. The subprogram looks at the first bit of each number. If
they’re both 0s, the resulting value is 1. If one is a 0 and the other is a 1, the result is 1. If they’re
both 1s, the result is 0. This process is repeated for the remaining 15 bits of each number, and a
new 16-bit number is generated. This number represents the output value of the FUN.
a = .1, b rising
from -1 to 1
a = .5, b rising
from -1 to 1
a =.9, b rising
from -1 to 1
+1
1-1
-1
input
values
output
values
+1
1-1
-1
input
values
output
values
+1
1-1
-1
input
values
output
values
a = -1, b rising
from -1 to 1
a = .5, b rising
from -1 to 1
a =1, b rising
from -1 to 1
+1
1-1
-1
input
values
output
values
+1
1-1
-1
input
values
output
values
+1
1-1
-1
input
values
output
values
To Next Page
Loading...
Need help?
General
