poly_square.py

from europi import *
import machine
from rp2 import PIO, StateMachine, asm_pio
from europi_script import EuroPiScript

'''
Poly Square
author: Tyler Schreiber (github.com/t-schreibs)
date: 2022-05-10
labels: oscillator, poly

A poly square oscillator with detuning & several polyphony modes. The analog
input receives a V/oct and sets the root pitch of the 6 oscillators, and knob
1 sets the spread of the detuning across the oscillators. Knob 2 sets the
polyphony mode of the oscillators, which output on CVs 1-6.

digital_in: unused
analog_in: V/oct

knob_1: detune
knob_2: polyphony mode

button_1: while depressed, 'tuning mode' is turned on; this changes the knob functionality:
    knob_1: coarse tune (up to 8 octaves)
    knob_2: fine tune (up to a full octave swing)
button_2: toggles the maximum detune between a half step and a major 9th

output_1: oscillator 1
output_2: oscillator 2
output_3: oscillator 3
output_4: oscillator 4
output_5: oscillator 5
output_6: oscillator 6
'''

# Assembly code program for the PIO square oscillator
# Thanks to Ben Everard at HackSpace for the basis of this program:
# https://hackspace.raspberrypi.com/articles/raspberry-pi-picos-pio-for-mere-mortals-part-3-sound
@asm_pio(sideset_init=PIO.OUT_LOW)
def square_prog():
    # Initialize x & y variables - these are used to count down the
    # loops which set the length of the square wave's cycle
    label("restart")
    pull(noblock) .side(0)
    mov(x, osr)
    mov(y, isr)
    # Start loop
    # Here, the pin is low, and it will count down y
    # until y=x, then set the pin high and jump to the next section
    label("up_loop")
    jmp(x_not_y, "skip_up")
    nop()         .side(1)
    jmp("down")
    label("skip_up")
    jmp(y_dec, "up_loop")
    # Mirror the above loop, but with the pin high to form the second
    # half of the square wave
    label("down")
    mov(y, isr)
    label("down_loop")
    jmp(x_not_y, "skip_down")
    nop() .side(0)
    jmp("restart")
    label("skip_down")
    jmp(y_dec, "down_loop")

# Class for managing the settings for a polyphony mode
class PolyphonyMode:
    def __init__(self, name, voltage_offsets):
        self.name = name
        self.voltage_offsets = voltage_offsets

# Class for managing a state machine running the PIO oscillator program
class SquareOscillator:
    def __init__(self, sm_id, pin, max_count, count_freq):
        self._sm = StateMachine(
            sm_id, square_prog, freq=2 * count_freq, sideset_base=Pin(pin))
        # Use exec() to load max count into ISR
        self._sm.put(max_count)
        self._sm.exec("pull()")
        self._sm.exec("mov(isr, osr)")
        self._sm.active(1)
        self._max_count = max_count
        self._count_freq = count_freq

    def set(self, value):
        # Minimum value is -1 (completely turn off), 0 actually still
        # produces a narrow pulse
        value = clamp(value, -1, self._max_count)
        self._sm.put(value)

    # Converts Hertz to the value the state machine running the PIO
    # program needs
    def get_pitch(self, hertz):
        return int( -1 * (((self._count_freq / hertz) -
            (self._max_count * 4))/4))

class KnobState:
    def __init__(self, k1, k2):
        self.k1 = k1
        self.k2 = k2

class PolySquare(EuroPiScript):
    def __init__(self):
        k1.set_samples(256)
        k2.set_samples(256)
        # PIO settings
        max_count = 1_000_000
        count_freq = 50_000_000
        # Thanks to djmjr (github.com/djmjr) for testing & determining that
        # 6 oscillators can be run simultanously without any issues:
        # https://github.com/djmjr/EuroPi/blob/poly-squares-mods/software/contrib/poly_square_mods.py
        self.oscillators = [
            SquareOscillator(0, 21, max_count, count_freq),
            SquareOscillator(1, 20, max_count, count_freq),
            SquareOscillator(2, 16, max_count, count_freq),
            SquareOscillator(3, 17, max_count, count_freq),
            SquareOscillator(4, 18, max_count, count_freq),
            SquareOscillator(5, 19, max_count, count_freq)
        ]
        # To add more polyphony modes, include them in this list. The offsets
        # are V/oct offsets (ie, a 5th = 7/12, an octave = 1, etc.). If the number
        # of offsets in the tuple doesn't match the length of the self.oscillators
        # list above, oscillators will wrap back to the first offset (ie, if there
        # are 3 offsets, and 6 oscillators, the fourth oscillator will take the
        # first offset, the fifth will take the second, etc.).
        self.modes = [
            PolyphonyMode("Unison", (0,)),
            PolyphonyMode("5th", (0, 0, 7/12)),
            PolyphonyMode("Octave", (0, 0, 1)),
            PolyphonyMode("Power chord", (0, 7/12, 1)),
            PolyphonyMode("Stacked 5ths", (0, 7/12, 14/12)),
            PolyphonyMode("Minor triad", (0, 7/12, 15/12)),
            PolyphonyMode("Major triad", (0, 7/12, 16/12)),
            PolyphonyMode("Diminished", (0, 6/12, 15/12)),
            PolyphonyMode("Augmented", (0, 8/12, 16/12)),
            PolyphonyMode("Major 6th", (0, 4/12, 9/12)),
            PolyphonyMode("Major 7th", (0, 4/12, 11/12)),
            PolyphonyMode("Minor 7th", (0, 3/12, 10/12)),
            PolyphonyMode("Major penta.", (0, 2/12, 4/12, 7/12, 9/12, 1)),
            PolyphonyMode("Minor penta.", (0, 2/12, 3/12, 7/12, 9/12, 1)),
            PolyphonyMode("Whole tone", (0, 2/12, 4/12, 6/12, 8/12, 10/12))
        ]
        self.current_mode = None
        self.ui_update_requested = True
        self.save_state_requested = False
        self.detune_amount = None
        self.coarse_tune = 0
        self.fine_tune = .5
        self.tuning_mode = False
        self.max_detune = 1
        self.tuning_mode_compare_knob_state = KnobState(
            None,
            None
        )
        self.load_state()

        @b1.handler
        def tuning_mode_on():
            self.tuning_mode_compare_knob_state = KnobState(
                k1.percent(),
                k2.percent()
            )
            self.tuning_mode = True
            self.ui_update_requested = True

        @b1.handler_falling
        def tuning_mode_off():
            self.tuning_mode = False
            self.ui_update_requested = True
            # Save the tuning settings after the button is released
            self.save_state_requested = True

        # self.max_detune is not a boolean value, in case the values need to be
        # updated in future or more than two values become available in the UI
        # (by, say, mapping it to a knob instead of a button toggle)
        @b2.handler
        def change_max_detune():
            if self.max_detune == 1:
                self.max_detune = 14
            else:
                self.max_detune = 1
            self.ui_update_requested = True
            self.save_state_requested = True

    # Converts V/oct signal to Hertz, with 0V = C0
    def get_hertz(self, voltage):
        # Start with A0 because it's a nice, rational number
        a0 = 27.5
        # Subtract 3/4 from the voltage value so that 0V = C0
        return a0 * 2 ** (voltage - 3/4)

    # Returns the linear step distance between elements such that all are
    # equally spaced. Ex, for 6 elements between 0 and 100 (inclusive), the
    # step would be 20 (the elements would then be 0, 20, 40, 60, 80, 100).
    def get_step_distance(self, first, last, count):
        return (last - first) / (count - 1)

    # Returns the total voltage offset of the current tuning values
    def get_tuning(self):
        return self.coarse_tune * 8 + self.fine_tune - .5

    # Through-zero detuning of current oscillator based on its position in
    # the list of oscillators - the central oscillator(s) stay(s) in tune while
    # the outer oscillators are progressively detuned.
    def get_detuning(self, detune_amount, oscillator_index):
        oscillator_count = len(self.oscillators)
        step_distance = self.get_step_distance(
            0, self.max_detune, oscillator_count)
        return detune_amount * step_distance * (oscillator_index -
             (oscillator_count - 1) / 2)

    # Returns a voltage offset for the oscillator based on the current
    # polyphony mode. This allows for things like triads, with the offsets
    # set accordingly.
    def get_offset(self, oscillator_index):
        mode = self.modes[self.current_mode]
        return mode.voltage_offsets[oscillator_index %
            len(mode.voltage_offsets)]

    # Saves oscillator tuning & detuning settings
    def save_state(self):
        settings = {
            "c": self.coarse_tune,
            "f": self.fine_tune,
            "m": self.max_detune
        }
        self.save_state_json(settings)
        self.save_state_requested = False

    # Loads oscillator tuning & detuning settings
    def load_state(self):
        settings = self.load_state_json()
        if "c" in settings:
            self.coarse_tune = settings["c"]
        if "f" in settings:
            self.fine_tune = settings["f"]
        if "m" in settings:
            self.max_detune = settings["m"]

    # Draws the UI for the "tuning" mode
    def draw_tuning_ui(self):
        oled.fill(0)
        padding = 2
        line_height = 9
        title = "Tuning"
        # Center the title at the top of the screen
        title_x = int((OLED_WIDTH - ((len(title) + 1) * 7)) / 2) - 1
        oled.text(title, title_x, padding)
        tuning_bar_x = 60
        tuning_bar_width = OLED_WIDTH - tuning_bar_x - padding
        # Coarse tuning bar
        oled.text("coarse:", padding, padding + line_height)
        oled.rect(tuning_bar_x, padding + line_height, tuning_bar_width, 8, 1)
        oled.fill_rect(
            tuning_bar_x,
            padding + line_height,
            int(self.coarse_tune * tuning_bar_width), 8, 1)
        # Fine tuning bar
        oled.text("fine:", padding + 16, padding + line_height * 2)
        oled.rect(
            tuning_bar_x, padding + line_height * 2, tuning_bar_width, 8, 1)
        if self.fine_tune < 0.5:
            filled_bar_width = int((0.5 - self.fine_tune) * tuning_bar_width)
            oled.fill_rect(
                int(tuning_bar_x + tuning_bar_width / 2 - filled_bar_width),
                padding + line_height * 2, filled_bar_width, 8, 1)
        elif self.fine_tune == 0.5:
            line_x = int(tuning_bar_x + tuning_bar_width / 2)
            oled.vline(line_x, padding + line_height * 2, 8, 1)
        else:
            oled.fill_rect(
                int(tuning_bar_x + tuning_bar_width / 2 + 2),
                padding + line_height * 2,
                int((self.fine_tune - 0.5) * tuning_bar_width), 8, 1)
        oled.show()

    # Draws the default UI
    def draw_main_ui(self):
        oled.centre_text(self.modes[self.current_mode].name +
            "\nmax. detune: " + str(self.max_detune))

    def numbers_are_close(self, current, other, allowed_error):
        if current == None or other == None:
            return False
        return abs(current - other) <= allowed_error

    def update_ui(self):
        if self.tuning_mode:
            self.draw_tuning_ui()
        else:
            self.draw_main_ui()
        self.ui_update_requested = False

    def update_tuning_settings(self):
        new_coarse_tune = k1.percent()
        new_fine_tune = k2.percent()
        allowed_error = 0.005
        # Only update the coarse or fine tuning setting if the knob has
        # been moved since button 1 was depressed - thanks to djmjr
        # (github.com/djmjr) for the idea:
        # https://github.com/djmjr/EuroPi/blob/poly-squares-mods/software/contrib/poly_square_mods.py
        if not (self.numbers_are_close(
                new_coarse_tune, self.tuning_mode_compare_knob_state.k1,
                allowed_error) or new_coarse_tune == self.coarse_tune):
            self.coarse_tune = new_coarse_tune
            self.tuning_mode_compare_knob_state.k1 = None
            self.ui_update_requested = True
        if not (self.numbers_are_close(
                new_fine_tune, self.tuning_mode_compare_knob_state.k2,
                allowed_error) or new_fine_tune == self.fine_tune):
            self.fine_tune = new_fine_tune
            self.tuning_mode_compare_knob_state.k2 = None
            self.ui_update_requested = True

    # Updates oscillator settings based on the current knob positions &
    # analog input
    def update_settings(self):
        analog_input = ain.read_voltage(32)
        if self.tuning_mode:
            self.update_tuning_settings()
        else:
            self.detune_amount = k1.percent() / 12
            new_mode = k2.read_position(len(self.modes))
            if not new_mode == self.current_mode:
                self.ui_update_requested = True
                self.current_mode = new_mode
        for oscillator in self.oscillators:
            # Add up the V/oct from the analog input, the offset from the
            # polyphony mode, the adjustment from the tuning, and the
            # adjustment from the detune amount to get the final pitch for
            # the oscillator
            oscillator_index = self.oscillators.index(oscillator)
            oscillator.set(oscillator.get_pitch(
                self.get_hertz(
                    analog_input + self.get_offset(oscillator_index) +
                    self.get_tuning() +
                    self.get_detuning(self.detune_amount, oscillator_index))))

    def main(self):
        while True:
            self.update_settings()
            if self.ui_update_requested:
                self.update_ui()
            if self.save_state_requested:
                self.save_state()

# Main script execution
if __name__ == '__main__':
    PolySquare().main()