Bernoulli Gates

This script is based on Mutable Instruments Branches. Because EuroPi only haa a pair of digital/analogue inputs, the dual Bernoulli gates share the same clock (from the digital input), and only one Bernoulli gate has CV input.

A Bernoulli gate takes a logic signal (trigger or gate) as an input, and routes it to either of its two outputs according to a random coin toss.

Inputs & Outputs

Inputs:

din: trigger/clock
ain: probability control of gate 1 (summed with Knob 1)
k1: probability control of gate 1
k2: probability control of gate 2
b1: mode switch of gate 1
b2: mode switch of gate 2

Outputs:

cv1: output A of gate 1
cv2: output B of gate 1
cv3: copy of input trigger/clock
cv4: output A of gate 2
cv5: output B of gate 2
cv6: logical AND of both output A (cv1 and cv4)

Turning a knob anticlockwise increases the probability that a signal will be routed to the corresponding gate’s A-output, while turning it clockwise increases the probablility of the signal being routed to the gate’s B-output. At 12-o’clock the probability of either is 50/50. Fully anticlockwise the probability of either is 100/0 and fully clockwise is 0/100.

Gate modes can be switched between

trigger: Tr
toggle: Tg
gate (latch): G by pressing the buttons. These modes are described in more detail below.

Tigger mode (Tr)

When the trigger mode is enabled, an output A/B changes to +5V for 10ms every time they are activated by the corresponding Bernoulli gate.

Toggle mode (Tg)

In toggle mode, the module associates the “heads” and “tails” outcomes to a different pair of decisions: “continue sending the trigger to the same output as before” and “send the trigger to the opposite output”. As a result, when the probability knob 1 is set to its maximum value, the trigger will alternate between outputs A and B.

Gate mode/Latch mode (G)

When the gate mode is enabled, an output A/B stays at +5V until the other output gets activated.