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euclid.py
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#!/usr/bin/env python3
"""Euclidean rhythm generator for the EuroPi
@author Chris Iverach-Brereton <ve4cib@gmail.com>
@author Brian House
@year 2011, 2023
This script contains code released under the MIT license, as
noted below
"""
from europi import *
from europi_script import EuroPiScript
import random
import time
## Duration before we blank the screen
SCREENSAVER_TIMEOUT_MS = 1000 * 60 * 20
def generate_euclidean_pattern(steps, pulses, rot=0):
"""Generates an array indicating the on/off steps of Euclid(k, n)
Copied from https://github.com/brianhouse/bjorklund with all due gratitude
@param steps The number of steps in the pattern
@param pulses The number of ON steps in the pattern (must be <= steps)
@param rot Optional rotation to offset the pattern. Must be in the range [0, steps]
@return An int array of length steps consisting of 1 and 0 values only
@exception ValueError if pulses or rot is out of range
@author Brian House
@year 2011
@license MIT
COPYRIGHT 2011 Brian House
Permission is hereby granted, free of charge, to any person obtaining a copy of this
software and associated documentation files (the “Software”), to deal in the Software
without restriction, including without limitation the rights to use, copy, modify, merge,
publish, distribute, sublicense, and/or sell copies of the Software, and to permit
persons to whom the Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all copies or
substantial portions of the Software.
THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED,
INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR
PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE
FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR
OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
DEALINGS IN THE SOFTWARE.
"""
steps = int(steps)
pulses = int(pulses)
rot = int(rot)
if pulses > steps or pulses < 0:
raise ValueError
if rot > steps or steps < 0:
raise ValueError
if steps == 0:
return []
pattern = []
counts = []
remainders = []
divisor = steps - pulses
remainders.append(pulses)
level = 0
while True:
counts.append(divisor // remainders[level])
remainders.append(divisor % remainders[level])
divisor = remainders[level]
level = level + 1
if remainders[level] <= 1:
break
counts.append(divisor)
def build(level):
if level == -1:
pattern.append(0)
elif level == -2:
pattern.append(1)
else:
for i in range(0, counts[level]):
build(level - 1)
if remainders[level] != 0:
build(level - 2)
build(level)
i = pattern.index(1)
pattern = pattern[i:] + pattern[0:i]
# rotate the pattern if needed by removing the last item and
# adding it to the start
if rot != 0:
for i in range(rot):
x = pattern.pop(-1)
pattern.insert(0, x)
return pattern
class EuclidGenerator:
"""Generates the euclidean rhythm for a single output
"""
def __init__(self, cv_out, steps=1, pulses=0, rotation=0, skip=0):
"""Create a generator that sends its output to the given CV output
@param cv_out One of the six output jacks (cv1..cv6)
@param steps The initial number of steps (1-32)
@param pulses The initial number of pulses (0-32)
@param rotation The initial rotation (0-32)
@param skip The skip probability (0-1)
"""
## The CV output this generator controls
self.cv = cv_out
## The current position within the pattern
self.position = 0
## The number of steps in the pattern
self.steps = steps
## The number of triggers in the pattern
self.pulses = pulses
## The rotation of the pattern
self.rotation = rotation
## The probability that we skip any given step when it triggers
#
# Must be in the range [0, 1], where 0 means never skip and
# 1 means always skip
self.skip = skip
## The on/off pattern we generate
self.pattern = []
## Cached copy of the string representation
#
# __str__(self) will do some extra string processing
# if this is None; otherwise its value is simply returned
self.str = None
self.regenerate()
def __str__(self):
"""Return a string representation of the pattern
The string consists of 4 characters:
- ^ current beat, high
- v current beat, low
- | high beat
- . low beat
e.g. |.|.^|.|.||. is a 7/12 pattern, where the 5th note
is currently playing
"""
if self.str is None:
s = ""
for i in range(len(self.pattern)):
if i == self.position:
if self.pattern[i] == 0:
s = s+"v"
else:
s = s+"^"
else:
if self.pattern[i] == 0:
s = s+"."
else:
s = s+"|"
self.str = s
return self.str
def regenerate(self):
"""Re-calculate the pattern for this generator
Call this after changing any of steps, pulses, or rotation to apply
the changes.
Changing the pattern will reset the position to zero
"""
self.position = 0
self.pattern = generate_euclidean_pattern(self.steps, self.pulses, self.rotation)
# clear the cached string representation
self.str = None
def advance(self):
"""Advance to the next step in the pattern and set the CV output
"""
# advance the position
# to ease CPU usage don't do any divisions, just reset to zero
# if we overflow
self.position = self.position+1
if self.position >= len(self.pattern):
self.position = 0
if self.steps == 0 or self.pattern[self.position] == 0:
self.cv.off()
else:
if self.skip > random.random():
self.cv.off()
else:
self.cv.on()
# clear the cached string representation
self.str = None
class ChannelMenu:
"""A menu screen that lets us choose which CV channel to edit
"""
def __init__(self, script):
"""Create the channel menu
@param script The EuclideanRhythms script that owns this menu
"""
self.script = script
def draw(self):
generator_index = k1.range(len(self.script.generators))
g = self.script.generators[generator_index]
pattern_str = str(g)
oled.fill(0)
oled.text(f"-- CV {generator_index+1} --", 0, 0)
if len(pattern_str) > 16:
pattern_row1 = pattern_str[0:16]
pattern_row2 = pattern_str[16:]
oled.text(f"{pattern_row1}", 0, 10)
oled.text(f"{pattern_row2}", 0, 20)
else:
oled.text(f"{pattern_str}", 0, 10)
oled.show()
class SettingsMenu:
"""A menu screen for controlling a single setting of the generator
"""
def __init__(self, script):
"""Create the settings menu for a given generator
@param script The EuclideanRhythms script that owns this menu
"""
self.script = script
self.generator = script.generators[0]
self.MENU_ITEMS_STEPS = 0
self.MENU_ITEMS_PULSES = 1
self.MENU_ITEMS_ROTATION = 2
self.MENU_ITEMS_SKIP = 3
self.menu_items = [
"Steps",
"Pulses",
"Rot.",
"Skip %"
]
def set_generator(self, g):
"""Configure this menu to control a given EuclideanGenerator
@param g The EuclideanGenerator to control
"""
self.generator = g
def read_knobs(self):
"""Returns a tuple with the current options
@return a tuple of the form (menu_item, lower_bound, upper_bound, current_setting, new_setting)
"""
menu_item = k1.range(len(self.menu_items))
lower_bound = 0
upper_bound = 0
current_setting = 0
if menu_item == self.MENU_ITEMS_STEPS:
lower_bound = 1
upper_bound = 32
current_setting = self.generator.steps
elif menu_item == self.MENU_ITEMS_PULSES:
lower_bound = 0
upper_bound = self.generator.steps
current_setting = self.generator.pulses
elif menu_item == self.MENU_ITEMS_ROTATION:
lower_bound = 0
upper_bound = self.generator.steps
current_setting = self.generator.rotation
elif menu_item == self.MENU_ITEMS_SKIP:
lower_bound = 0
upper_bound = 100
current_setting = int(self.generator.skip * 100)
new_setting = k2.range(upper_bound-lower_bound+1) + lower_bound
return (menu_item, lower_bound, upper_bound, current_setting, new_setting)
def draw(self):
(menu_item, lower_bound, upper_bound, current_setting, new_setting) = self.read_knobs()
oled.fill(0)
oled.text(f"-- {self.menu_items[menu_item]} --", 0, 0)
oled.text(f"{current_setting} <- {new_setting}", 0, 10)
oled.show()
def apply_setting(self):
"""Apply the current setting
"""
(menu_item, lower_bound, upper_bound, current_setting, new_setting) = self.read_knobs()
if menu_item == self.MENU_ITEMS_STEPS:
self.generator.steps = new_setting
if self.generator.pulses > new_setting:
self.generator.pulses = new_setting
if self.generator.rotation > new_setting:
self.generator.rotation = new_setting
elif menu_item == self.MENU_ITEMS_PULSES:
self.generator.pulses = new_setting
elif menu_item == self.MENU_ITEMS_ROTATION:
self.generator.rotation = new_setting
elif menu_item == self.MENU_ITEMS_SKIP:
self.generator.skip = new_setting / 100.0
self.generator.regenerate()
class Screensaver:
"""Blanks the screen to prevent burn-in
"""
def __init__(self):
pass
def draw(self):
oled.fill(0);
oled.show()
class EuclideanRhythms(EuroPiScript):
"""Generates 6 different Euclidean rhythms, one per output
Must be clocked externally into DIN
"""
def __init__(self):
super().__init__()
## The euclidean pattern generators for each CV output
#
# We pre-load the defaults with some interesting patterns so the script
# does _something_ out of the box
self.generators = [
EuclidGenerator(cv1, 8, 5),
EuclidGenerator(cv2, 16, 7),
EuclidGenerator(cv3, 16, 11),
EuclidGenerator(cv4, 32, 9),
EuclidGenerator(cv5, 32, 15),
EuclidGenerator(cv6, 32, 19)
]
self.load()
self.channel_menu = ChannelMenu(self)
self.settings_menu = SettingsMenu(self)
self.screensaver = Screensaver()
self.active_screen = self.channel_menu
self.last_interaction_time = time.ticks_ms()
@din.handler
def on_rising_clock():
"""Handler for the rising edge of the input clock
Advance all of the rhythms
"""
for g in self.generators:
g.advance()
@din.handler_falling
def on_falling_clock():
"""Handler for the falling edge of the input clock
Turn off all of the CVs so we don't stay on for adjacent pulses
"""
for cv in cvs:
cv.off()
@b1.handler
def on_b1_press():
"""Handler for pressing button 1
"""
self.last_interaction_time = time.ticks_ms()
if self.active_screen == self.screensaver:
self.active_screen = self.channel_menu
elif self.active_screen == self.channel_menu:
self.activate_settings_menu()
else:
self.settings_menu.apply_setting()
self.save()
@b2.handler
def on_b2_press():
"""Handler for pressing button 2
"""
self.last_interaction_time = time.ticks_ms()
if self.active_screen == self.screensaver:
self.active_screen = self.channel_menu
elif self.active_screen == self.channel_menu:
self.activate_settings_menu()
else:
self.activate_channel_menu()
@classmethod
def display_name(cls):
return "Euclid"
def activate_settings_menu(self):
""" Change the active screen to the settings menu
"""
channel_index = k1.range(len(self.generators))
self.settings_menu.set_generator(self.generators[channel_index])
self.active_screen = self.settings_menu
def activate_channel_menu(self):
"""Change the active screen to the CV channel menu
"""
self.active_screen = self.channel_menu
def load(self):
"""Load the previously-saved parameters and restore them
"""
state = self.load_state_json()
for rhythm in state.get("rhythms", []):
id = rhythm["id"]
generator = self.generators[id]
generator.steps = rhythm["steps"]
generator.pulses = rhythm["pulses"]
generator.rotation = rhythm["rotation"]
generator.skip = rhythm["skip"]
generator.regenerate()
def save(self):
"""Write the current settings to the persistent storage
"""
rhythms = []
for i in range(len(self.generators)):
d = {
"id": i,
"steps": self.generators[i].steps,
"pulses": self.generators[i].pulses,
"rotation": self.generators[i].rotation,
"skip": self.generators[i].skip
}
rhythms.append(d)
state = {
"rhythms": rhythms
}
self.save_state_json(state)
def main(self):
while True:
# check if we've been idle for long enough to trigger the screensaver
now = time.ticks_ms()
if time.ticks_diff(now, self.last_interaction_time) > SCREENSAVER_TIMEOUT_MS:
self.active_screen = self.screensaver
self.active_screen.draw()
if __name__=="__main__":
EuclideanRhythms().main()