From 6f8d9f74154928d6db64ec886652e486faa85fe9 Mon Sep 17 00:00:00 2001
From: mss <mss@istu.local>
Date: Wed, 28 Oct 2026 21:53:49 +0400
Subject: [PATCH] =?UTF-8?q?ai:=20=D0=B2=D0=B0=D1=80=D0=B8=D0=B0=D0=BD?=
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MIME-Version: 1.0
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---
 ...peredatochnaya-funkciya-na-ou-student.docx | Bin 47408 -> 47746 bytes
 ...peredatochnaya-funkciya-na-ou-teacher.docx | Bin 0 -> 53500 bytes
 stub/05-dds-audiopwm-rp2040.py                | 854 ++++++++++++++++++
 task.md                                       |   6 +
 4 files changed, 860 insertions(+)
 create mode 100644 print/methodical-lab5-peredatochnaya-funkciya-na-ou-teacher.docx
 create mode 100644 stub/05-dds-audiopwm-rp2040.py

diff --git a/print/methodical-lab5-peredatochnaya-funkciya-na-ou-student.docx b/print/methodical-lab5-peredatochnaya-funkciya-na-ou-student.docx
index f5ff278a942b63fadbd35ee0ff7534190a44d530..e9d5c72dc77307bb55a13540f2b4fa6879f0495f 100644
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diff --git a/stub/05-dds-audiopwm-rp2040.py b/stub/05-dds-audiopwm-rp2040.py
new file mode 100644
index 0000000..9d5aed5
--- /dev/null
+++ b/stub/05-dds-audiopwm-rp2040.py
@@ -0,0 +1,854 @@
+# DDS-генератор на аудио-ШИМ (RP2040) — CircuitPython
+#
+# Вариант 5 генератора для лабораторных работ. Совместим по системе команд
+# с вариантами 1–4 (F, SF, W, D, M, A, SWEEP, STOP, B, O, N, FN, FP, I,
+# CAL, HELP), но выход сделан не через PIO и не через программный ШИМ,
+# а через штатный звуковой модуль CircuitPython audiopwmio.
+#
+# ЧЕРНОВИК (AI-сгенерировано, 2026-10-28). Требует проверки преподавателем
+# на реальном стенде: частоты и разрядность посчитаны по исходникам ядра,
+# но реальный размах и уровень несущей надо проверить осциллографом.
+#
+# Дополнительные библиотеки НЕ нужны: audiopwmio и audiocore входят в
+# прошивку CircuitPython для RP2040.
+#
+# ──────────────── ПОЧЕМУ НЕ analogio (важно) ────────────────
+#
+# В CircuitPython модуль analogio содержит ровно два класса:
+#
+#     analogio.AnalogIn   — вход АЦП (им и меряем, см. команду A);
+#     analogio.AnalogOut  — выход ЦАП.
+#
+# AnalogOut работает только там, где есть НАСТОЯЩИЙ ЦАП. У RP2040 его нет,
+# поэтому в документации прямо написано: «Not available on Nordic, RP2040,
+# Spresense, as there is no on-chip DAC». То есть аналогового выхода на
+# Pico через analogio не получить — ни в каком виде.
+#
+# Вывод «звука через ШИМ» в CircuitPython делает другой модуль — audiopwmio:
+#
+#     audiopwmio.PWMAudioOut(pin)      — канал вывода (ШИМ-слайс);
+#     audiocore.RawSample(буфер, ...)  — проигрываемый сэмпл.
+#
+# Именно его и использует этот вариант.
+#
+# ──────────────── КАК ЭТО РАБОТАЕТ ────────────────
+#
+# На RP2040 внутри audiopwmio:
+#
+#   * занимается один ШИМ-слайс (GP15 — это слайс 7, канал B);
+#   * TOP регистра скважности = 1023, поэтому несущая ШИМ:
+#
+#         f_несущей = 125 МГц / 1024 = 122,07 кГц   (фиксирована ядром)
+#
+#   * скважность (10 бит из 16-битного сэмпла) обновляется НЕ программой,
+#     а DMA по таймеру темпа. Таймер настраивается дробным делителем
+#     125 МГц * X / Y, поэтому частота сэмплирования задаётся очень точно:
+#
+#         sample_rate = f_вых * m,   где m = N * O — сэмплов на период
+#
+#   * после RC-фильтра низких частот остаётся среднее значение скважности,
+#     то есть наш сигнал. Несущие 122 кГц фильтр давит, сигнал пропускает.
+#
+# Отличие от варианта 1 и 2 (программный ШИМ) — в том, что цикл Python в
+# формировании сигнала НЕ участвует вообще. Отличие от вариантов 3 и 4
+# (PIO) — в том, что вместо PIO-машины работает штатный аудио-тракт ядра.
+#
+# ──────────────── ЧТО ЭТО ДАЁТ И ЧЕГО НЕ ДАЁТ ────────────────
+#
+# Плюсы:
+#   * вывод идёт в фоне (DMA), CPU свободен — команды принимаются на ходу,
+#     АЦП можно читать ОДНОВРЕМЕННО с выводом сигнала;
+#   * несущая 122 кГц фильтруется тем же RC, что и в остальных вариантах
+#     (1к/47н, f_c ~ 3,4 кГц);
+#   * не нужны adafruit_pioasm и rp2pio — только прошивка.
+#
+# Минусы (важно для лаборатории):
+#   * это ЗВУКОВОЙ тракт: частота сэмплирования ограничена сверху ~48 кГц,
+#     потому что она должна быть заметно ниже несущей 122 кГц. Значит
+#     верхняя частота сигнала:
+#
+#         f_вых_max = sample_rate_max / m
+#
+#     при m = 16 это 3 кГц, при m = 48 — 1 кГц, при m = 256 — 188 Гц.
+#     Выше 3–4 кГц этот вариант не годится, там нужны PIO (варианты 3–4)
+#     или программный ШИМ (варианты 1–2).
+#   * разрядность скважности 10 бит — команда B больше 10 не имеет смысла
+#     (ядро всё равно оставит 10 старших бит).
+#   * при малом m форма ступенчатая: 16 точек на период — это грубо.
+#
+# ──────────────── ПИНЫ ────────────────
+#
+#   GP15 — выход (ШИМ в режиме Q, аудио-ШИМ в режиме S);
+#   GP16 — синхроимпульс (вне зоны, которую занимает аудио);
+#   GP26 — вход ADC0 (A0), до 3,3 В, больше — только через делитель.
+#
+# ──────────────── КОМАНДЫ ────────────────
+#
+#   F <Гц>            — частота (1..200000, но см. предел выше)
+#   SF <Гц>           — то же, явно для синуса
+#   W Q | W S         — режим: Q — прямоугольник (pwmio), S — звук (audiopwmio)
+#   D <0..255>        — скважность прямоугольника в режиме Q
+#   M <0..127>        — амплитуда (127 = полная шкала)
+#   A                 — измерить размах на ADC0 -> "A <мВ>"
+#   SWEEP f0 f1 n ms  — свип: "P <Гц> <мВ>" на точку, затем "DONE"
+#   STOP              — прервать свип
+#   B <1..10>         — разрядность скважности (10 — предел audiopwmio)
+#   O <1..64>         — множитель сэмплов: m = N*O
+#   N <16..4096>      — «полезных» сэмплов на период
+#   FN <имя>          — форма: sin, sine2, triangle, saw, square
+#   FP <выражение>    — своя функция от t (0..1)
+#   CAL <Гц>          — автокалибровка по осциллографу (поправка частоты)
+#   CLC <n>           — НЕ ПРИМЕНИМА (нет PIO); принимается для совместимости
+#   I                 — настройки, пределы частоты, фактическая частота
+#
+# ВНИМАНИЕ: ADC0 (GP26) — вход 0..3,3 В. Сигнал больше 3,3 В подавать
+# только через делитель. Схему без питания к ADC не подключать.
+
+import array
+import math
+import sys
+import time
+
+import board
+import digitalio
+import pwmio
+
+import audiocore
+import audiopwmio
+
+try:
+    import analogbufio
+except ImportError:  # pragma: no cover
+    analogbufio = None
+    print("# analogbufio недоступен: команды A и SWEEP работают по-простому")
+
+
+# ─────────────────────────── константы ───────────────────────────
+
+PIN_OUT = board.GP15       # выход: PWM в режиме Q, аудио-ШИМ в режиме S
+PIN_TRIG = board.GP16      # синхроимпульс
+PIN_ADC = board.GP26       # ADC0 — вход измерения
+
+SYS_CLK = 125_000_000      # тактовая RP2040, Гц
+
+# Внутри audiopwmio на RP2040: BITS_PER_SAMPLE = 10, TOP = 2^10 - 1 = 1023.
+# Отсюда фиксированная несущая ШИМ и предельная разрядность 10 бит.
+PWM_BITS = 10
+PWM_CARRIER_HZ = SYS_CLK / (1 << PWM_BITS)      # 122 070,3 Гц
+
+# Темп сэмплирования задаёт DMA-таймер с делителем до 65536, значит снизу
+# частота ограничена ~1907 Гц (та же цифра, что предел clkdiv у PIO).
+SR_MIN = SYS_CLK / 65536                         # ≈ 1907 Гц
+# Сверху ограничиваем «по-звуковому»: сэмплы должны быть заметно реже
+# несущей, иначе ШИМ не успевает их отыграть и на выходе будет мусор.
+SR_MAX = 48000
+
+ADC_FULL_MV = 3300         # опорное напряжение ADC, мВ
+
+# Буфер сэмплов: 2 байта на сэмпл ("H"), держим не больше 64 КБ.
+MAX_BUFFER_BYTES = 64 * 1024
+
+# Пределы для команд N и O (те же, что в вариантах 3–4, для совместимости).
+N_MIN, N_MAX = 16, 4096
+O_MIN, O_MAX = 1, 64
+
+
+def _default_wave(t):
+    """Форма по умолчанию: синус. t — доля периода [0,1)."""
+    return math.sin(2.0 * math.pi * t)
+
+
+# ─────────────────────────── класс AudioPWMDDS ───────────────────────────
+
+class AudioPWMDDS:
+    """DDS на audiopwmio: буфер сэмплов играет DMA, CPU свободен."""
+
+    def __init__(self, bits=8, oversample=1, n=32, freq=1000, level=127):
+        self.bits = int(bits)
+        self.oversample = int(oversample)
+        self.n = int(n)
+        self.freq = int(freq)
+        self.level = int(level)
+        self.wave = _default_wave
+        self.wave_name = "sin"
+        self.corr = 1.0          # поправка частоты после CAL
+        self.audio = None        # создаётся лениво, в ensure()
+        self._sample = None      # RawSample — держим ссылку!
+        self._buf = None         # array('H') — буфер должен жить
+
+    # ─── параметры ───
+
+    def samples_per_period(self):
+        """m — сколько сэмплов приходится на один период сигнала."""
+        return self.n * self.oversample
+
+    def sample_rate_wanted(self):
+        """Желаемая частота сэмплирования, Гц (до ограничения)."""
+        return self.freq * self.samples_per_period() * self.corr
+
+    def sample_rate_used(self):
+        """Частота сэмплирования, которая реально будет выставлена."""
+        sr = int(round(self.sample_rate_wanted()))
+        if sr < int(SR_MIN) + 1:
+            sr = int(SR_MIN) + 1
+        if sr > SR_MAX:
+            sr = SR_MAX
+        return sr
+
+    def f_out_actual(self):
+        """Фактическая частота сигнала при текущем sample_rate."""
+        return self.sample_rate_used() / float(self.samples_per_period())
+
+    def f_out_max(self):
+        return SR_MAX / float(self.samples_per_period())
+
+    def f_out_min(self):
+        return (int(SR_MIN) + 1) / float(self.samples_per_period())
+
+    def needs_warning(self):
+        """True, если запрошенная частота не влезает в звуковой тракт."""
+        sr = self.sample_rate_wanted()
+        return sr > SR_MAX or sr < SR_MIN
+
+    def suggest_reduction(self):
+        """Подсказка, что менять, если частота не достижима."""
+        m = self.samples_per_period()
+        if self.sample_rate_wanted() > SR_MAX:
+            ok = int(SR_MAX / float(self.freq * self.corr)) if self.freq else 0
+            return ("уменьшите N*O до %d (сейчас m=%d) или снизьте частоту "
+                    "до %.1f Гц" % (max(N_MIN, ok), m, self.f_out_max()))
+        return ("увеличьте N*O (сейчас m=%d): минимум %.1f Гц"
+                % (m, self.f_out_min()))
+
+    def set_frequency(self, hz):
+        self.freq = max(1, min(200000, int(hz)))
+        if self.audio is not None:
+            self._reload()
+
+    def set_bits(self, b):
+        b = int(b)
+        if b < 1:
+            raise ValueError("B должно быть 1..%d" % PWM_BITS)
+        if b > PWM_BITS:
+            raise ValueError("для audiopwmio максимум B=%d (ядро оставляет "
+                             "10 старших бит)" % PWM_BITS)
+        self.bits = b
+        if self.audio is not None:
+            self._reload()
+
+    def set_oversample(self, o):
+        o = int(o)
+        if o < O_MIN or o > O_MAX:
+            raise ValueError("O должно быть %d..%d" % (O_MIN, O_MAX))
+        self._check_buffer(self.n * o)      # проверить ДО присваивания
+        self.oversample = o
+        if self.audio is not None:
+            self._reload()
+
+    def set_n(self, n):
+        n = int(n)
+        if n < N_MIN or n > N_MAX:
+            raise ValueError("N должно быть %d..%d" % (N_MIN, N_MAX))
+        self._check_buffer(n * self.oversample)
+        self.n = n
+        if self.audio is not None:
+            self._reload()
+
+    def set_amplitude(self, level):
+        self.level = max(0, min(127, int(level)))
+        if self.audio is not None:
+            self._reload()
+
+    def set_function(self, fn, name="func"):
+        self.wave = fn
+        self.wave_name = name
+        if self.audio is not None:
+            self._reload()
+
+    def reset_function(self):
+        self.set_function(_default_wave, "sin")
+
+    def slew_warning(self):
+        """В этом варианте нет дельта-сигмы, поэтому ограничения наклона нет.
+        Метод оставлен для совместимости с вызовами из main()."""
+        return None
+
+    # ─── буфер и воспроизведение ───
+
+    def _check_buffer(self, m=None):
+        """Проверить, что буфер для m сэмплов влезает в память."""
+        if m is None:
+            m = self.samples_per_period()
+        if m * 2 > MAX_BUFFER_BYTES:
+            raise ValueError("буфер %d байт > %d — уменьшите N или O"
+                             % (m * 2, MAX_BUFFER_BYTES))
+
+    def _build(self):
+        """Заполнить буфер: m сэмплов одного периода, 16 бит, 0..65535.
+
+        Квантование по B бит делается ЗДЕСЬ, а не в железе: уровень
+        округляется до 2^B значений скважности и растягивается на всю
+        16-битную шкалу. Так команда B честно показывает, сколько
+        ступенек увидит осциллограф.
+        """
+        m = self.samples_per_period()
+        self._check_buffer(m)
+
+        levels = (1 << self.bits) - 1        # 1, 3, 7, ... 1023
+        amp = self.level / 127.0
+
+        buf = array.array("H", [0]) * m
+        for i in range(m):
+            u = self.wave(i / float(m)) * amp
+            if u > 1.0:
+                u = 1.0
+            elif u < -1.0:
+                u = -1.0
+            # 0.5 + 0.5*u -> 0..1; округляем до B-битной ступеньки
+            level = int(round((0.5 + 0.5 * u) * levels))
+            buf[i] = level * 65535 // levels
+        self._buf = buf
+        return m
+
+    def _reload(self):
+        """Пересобрать буфер и перезапустить воспроизведение."""
+        self._build()
+        sr = self.sample_rate_used()
+        self._sample = audiocore.RawSample(self._buf,
+                                           channel_count=1,
+                                           sample_rate=sr)
+        if self.audio is not None:
+            self.audio.play(self._sample, loop=True)
+
+    def ensure(self):
+        """Создать канал вывода и запустить сигнал (лениво)."""
+        if self.audio is None:
+            self.audio = audiopwmio.PWMAudioOut(PIN_OUT,
+                                                quiescent_value=0x8000)
+        self._reload()
+        return self
+
+    def release(self):
+        """Остановить и освободить ШИМ-слайс (нужно для режима Q)."""
+        if self.audio is not None:
+            try:
+                self.audio.stop()
+            except Exception:
+                pass
+            try:
+                self.audio.deinit()
+            except Exception:
+                pass
+            self.audio = None
+        self._sample = None
+        self._buf = None
+
+    def deinit(self):
+        self.release()
+
+    def calibrate(self, measured_hz):
+        """CAL <измеренная_Гц>: подстроить частоту сэмплирования.
+
+        Ошибка тут может быть только от кварца (доли промилле), но команда
+        оставлена для единообразия с вариантами 3–4: вводим измеренное,
+        получаем поправку corr и пересчёт.
+        """
+        if self.needs_warning():
+            raise ValueError("сначала задайте достижимую частоту: сейчас "
+                             "запрошено %d Гц при пределе %.1f Гц"
+                             % (self.freq, self.f_out_max()))
+        measured = float(measured_hz)
+        if measured <= 0:
+            raise ValueError("измеренная частота должна быть > 0")
+        old = self.corr
+        self.corr = self.corr * self.freq / measured
+        self.corr = max(0.5, min(2.0, self.corr))
+        if self.audio is not None:
+            self._reload()
+        return old, self.corr
+
+    def info(self):
+        m = self.samples_per_period()
+        return ("аудио-ШИМ: f=%d Гц, форма=%s, B=%d, N=%d, O=%d, m=%d, "
+                "Fs=%d Гц, несущая=%.1f кГц, f_ном=%.2f Гц, "
+                "поправка=%.6f, f_min=%.1f, f_max=%.1f Гц"
+                % (self.freq, self.wave_name, self.bits, self.n,
+                   self.oversample, m, self.sample_rate_used(),
+                   PWM_CARRIER_HZ / 1000.0, self.f_out_actual(), self.corr,
+                   self.f_out_min(), self.f_out_max()))
+
+
+# ───────────────────── прямоугольник на PWM ─────────────────────
+#
+# Режим Q — обычный аппаратный ШИМ на том же GP15. Одновременно с
+# аудио-ШИМ он работать не может: audiopwmio занимает весь слайс.
+# Поэтому режимы включаются по очереди (ensure/release), как в варианте 3.
+
+class SquarePWM:
+    def __init__(self, pin=PIN_OUT):
+        self.pwm = pwmio.PWMOut(pin, frequency=1000,
+                                duty_cycle=0, variable_frequency=True)
+
+    def set_frequency(self, f):
+        self.pwm.frequency = max(1, min(200000, int(f)))
+
+    def set_duty(self, d):
+        d = max(0, min(255, int(d)))
+        self.pwm.duty_cycle = d * 65535 // 255
+
+    def off(self):
+        self.pwm.duty_cycle = 0
+
+    def deinit(self):
+        try:
+            self.pwm.deinit()
+        except Exception:
+            pass
+
+
+# ─────────────────────────── АЦП ───────────────────────────
+
+def measure_amplitude_mv(window_ms=50, rate=100000):
+    """Размах (пик-пик) на ADC0 в милливольтах.
+
+    Чтение через analogbufio (аппаратный ADC + DMA). Если библиотеки нет
+    или DMA занят звуком — откатываемся на analogio.AnalogIn.
+
+    ВАЖНО: воспроизведение при этом не останавливается — audiopwmio играет
+    на своём DMA-канале, ADC работает независимо.
+    """
+    if analogbufio is not None:
+        length = int(rate * window_ms / 1000)
+        length = max(64, min(8192, length))
+        buf = array.array("H", [0]) * length
+        adc = None
+        try:
+            adc = analogbufio.BufferedIn(PIN_ADC, sample_rate=rate)
+            adc.readinto(buf, loop=False)
+            return (max(buf) - min(buf)) * ADC_FULL_MV // 65535
+        except Exception:
+            pass                     # нет DMA-канала или частоты — ниже
+        finally:
+            if adc is not None:
+                try:
+                    adc.deinit()
+                except Exception:
+                    pass
+
+    import analogio
+    adc = analogio.AnalogIn(PIN_ADC)
+    vmin, vmax = 65535, 0
+    t0 = time.monotonic()
+    try:
+        while (time.monotonic() - t0) * 1000 < window_ms:
+            v = adc.value
+            if v < vmin:
+                vmin = v
+            if v > vmax:
+                vmax = v
+    finally:
+        adc.deinit()
+    return (vmax - vmin) * ADC_FULL_MV // 65535
+
+
+# ─────────────────────────── свип ───────────────────────────
+
+trig = None
+
+
+def ensure_trig():
+    """Создать синхроимпульс при первом использовании (лениво!)."""
+    global trig
+    if trig is None:
+        trig = digitalio.DigitalInOut(PIN_TRIG)
+        trig.direction = digitalio.Direction.OUTPUT
+        trig.value = False
+    return trig
+
+
+def trigger_pulse():
+    t = ensure_trig()
+    t.value = True
+    time.sleep(0.00005)
+    t.value = False
+
+
+def run_sweep(dds, square, mode, f0, f1, count, dwell_ms):
+    """Логарифмический свип. Печатает 'P <Гц> <мВ>', в конце 'DONE'."""
+    count = max(2, count)
+    if f1 <= f0:
+        f1 = f0 * 10.0
+    ratio = (f1 / f0) ** (1.0 / (count - 1))
+    f = float(f0)
+    try:
+        for _ in range(count):
+            if mode == "S":
+                dds.set_frequency(int(f))
+            else:
+                square.set_frequency(int(f))
+            trigger_pulse()
+            time.sleep(dwell_ms / 1000.0)
+            mv = measure_amplitude_mv()
+            sys.stdout.write("P %d %d\n" % (int(f), mv))
+            f *= ratio
+    except KeyboardInterrupt:
+        sys.stdout.write("DONE\n")
+        raise
+    sys.stdout.write("DONE\n")
+
+
+# ───────── предустановленные формы сигнала (для команды FN) ─────────
+
+def _wave_sin(t):
+    return math.sin(2.0 * math.pi * t)
+
+
+def _wave_sine2(t):
+    return (0.3 * math.sin(2.0 * math.pi * t) +
+            0.5 * math.sin(4.0 * math.pi * t))
+
+
+def _wave_triangle(t):
+    return 4.0 * abs(t - 0.5) - 1.0
+
+
+def _wave_saw(t):
+    return 2.0 * t - 1.0
+
+
+def _wave_square(t):
+    return 1.0 if t < 0.5 else -1.0
+
+
+WAVES = {
+    "sin": _wave_sin,
+    "sine2": _wave_sine2,
+    "triangle": _wave_triangle,
+    "saw": _wave_saw,
+    "square": _wave_square,
+}
+
+# Разрешённые имена для команд FP/FN: только математика, без встроенных.
+_EXPR_NAMES = {
+    "sin": math.sin, "cos": math.cos, "tan": math.tan,
+    "pi": math.pi, "abs": abs,
+}
+
+EXPR_LEN_MAX = 120
+
+
+def _eval_expr(expr, t):
+    """Вычислить выражение от t. Отдельная функция, не lambda: на плате
+    разбор lambda в командах не срабатывал (см. вариант 3)."""
+    env = dict(_EXPR_NAMES)
+    env["t"] = t
+    return eval(expr, {"__builtins__": {}}, env)
+
+
+def _expr_ok(expr):
+    """Проверить выражение до использования. None, если всё в порядке."""
+    if len(expr) > EXPR_LEN_MAX:
+        return "выражение слишком длинное (лимит %d)" % EXPR_LEN_MAX
+    for t in (0.0, 0.125, 0.333, 0.5, 0.75):
+        try:
+            v = _eval_expr(expr, t)
+        except Exception as e:
+            return "%s (при t=%.3f)" % (e, t)
+        if v != v:                      # NaN
+            return "не числовой результат (NaN)"
+        if abs(v) > 1e6:
+            return "слишком большое значение (%g) — форма вне [-1,1]" % v
+    return None
+
+
+def _make_expr_wave(expr):
+    def wave(t):
+        return _eval_expr(expr, t)
+    return wave
+
+
+# ─────────────────────────── подробный хелп ───────────────────────────
+
+def print_help():
+    lines = [
+        "# ─────── DDS-генератор на аудио-ШИМ (audiopwmio): команды ───────",
+        "# Обозначения: <..> — обязательный аргумент.",
+        "#",
+        "# РЕЖИМ И ЧАСТОТА",
+        "#   W Q              — режим прямоугольника (аппаратный ШИМ на GP15)",
+        "#   W S              — режим звука (audiopwmio, GP15)",
+        "#   F <Гц>           — частота, в режиме Q — прямоугольника,",
+        "#                      в S — сигнала. пример: F 440",
+        "#   SF <Гц>          — частота СИГНАЛА (то же, явно)",
+        "#",
+        "# ФОРМА СИГНАЛА",
+        "#   D <0..255>       — скважность прямоугольника (128 = 50 %)",
+        "#   M <0..127>       — амплитуда (127 = полная шкала)",
+        "#   FN <имя>         — форма: sin, sine2, triangle, saw, square",
+        "#   FP <выражение>   — своя функция от t (0..1), например:",
+        "#                      FP 0.3*sin(2*pi*t)+0.5*sin(4*pi*t)",
+        "#",
+        "# ИЗМЕРЕНИЕ И СВИП (работает ОДНОВРЕМЕННО с выводом)",
+        "#   A                — размах на ADC0 (GP26), мВ -> 'A <мВ>'",
+        "#   SWEEP <f0> <f1> <n> <dwell_ms>",
+        "#                      логарифмический свип; печатает 'P <Гц> <мВ>',",
+        "#                      в конце 'DONE'. пример: SWEEP 20 3000 20 150",
+        "#   STOP             — прервать свип",
+        "#",
+        "# ПАРАМЕТРЫ СИНТЕЗА",
+        "#   B <1..10>        — разрядность скважности. 10 — предел ядра",
+        "#                      (внутри audiopwmio берутся 10 старших бит)",
+        "#   O <1..64>        — множитель сэмплов, m = N * O",
+        "#   N <16..4096>     — «полезных» сэмплов на период",
+        "#   I                — настройки, пределы, f_min/f_max, поправка",
+        "#   CAL <Гц>         — автокалибровка: подайте частоту, измерьте",
+        "#                      осциллографом, введите измеренное (CAL 440)",
+        "#   CLC <n>          — НЕ ПРИМЕНИМА: PIO здесь нет; принимается",
+        "#                      только чтобы не ломать общий сценарий команд",
+        "#",
+        "# ГЛАВНОЕ ОГРАНИЧЕНИЕ (в чём отличие от вариантов 3–4)",
+        "#   Частота сэмплирования не больше 48000 Гц, поэтому",
+        "#       f_max = 48000 / m.",
+        "#   При m=16 это 3 кГц, при m=48 — 1 кГц, при m=256 — 188 Гц.",
+        "#   Выше 3–4 кГц этот вариант не работает — берите PIO.",
+        "#   Команда I показывает f_min и f_max для текущих N и O.",
+        "#",
+        "# КАРТА ПИНОВ",
+        "#   GP15             — выход (ШИМ в Q, аудио-ШИМ в S)",
+        "#   GP16             — синхроимпульс",
+        "#   GP26 (A0)        — вход ADC, до 3,3 В (через делитель)",
+        "#",
+        "# ЧЕМ ЭТО ОТЛИЧАЕТСЯ ОТ analogio",
+        "#   analogio умеет только AnalogIn (вход) и AnalogOut (ЦАП).",
+        "#   На RP2040 ЦАПА НЕТ, поэтому AnalogOut недоступен, и «звук через",
+        "#   ШИМ» делается модулем audiopwmio — он и используется здесь.",
+        "#",
+        "# ФИЛЬТР НА ВЫХОДЕ (тот же, что в остальных вариантах)",
+        "#   GP15 --[R1]--+--[R2]--+--> во вход схемы",
+        "#                |        |",
+        "#              [C1]     [C2]      R1=R2=1к, C1=C2=47н",
+        "#                |        |       (f_c ~ 3.4 кГц)",
+        "#               GND      GND",
+        "#   Несущая ШИМ 122 кГц давится этим фильтром примерно на 60 дБ.",
+        "#",
+        "# СПРАВКА",
+        "#   HELP | ?         — этот текст",
+    ]
+    for ln in lines:
+        sys.stdout.write(ln + "\n")
+
+
+# ─────────────────────────── main ───────────────────────────
+
+def main():
+    print("# DDS на аудио-ШИМ (RP2040 / CircuitPython).")
+    print("# Вывод: audiopwmio, вход: analogio/analogbufio.")
+    print("# Подробный хелп: HELP или ?")
+
+    dds = None
+    square = None
+    try:
+        dds = AudioPWMDDS(bits=8, oversample=1, n=32, freq=1000, level=127)
+        square = SquarePWM()
+        square.set_frequency(1000)
+        square.set_duty(128)
+        print("# " + dds.info())
+        print("    (режим Q: PWM на GP15; режим S: audiopwmio на GP15)")
+    except Exception as e:
+        print("! ОШИБКА инициализации:", repr(e))
+        if dds is not None:
+            dds.deinit()
+        if square is not None:
+            square.deinit()
+        return
+
+    mode = "Q"
+    saved_square_hz = 1000
+
+    try:
+        while True:
+            line = sys.stdin.readline()
+            if not line:
+                break                     # EOF: порт закрыт
+            parts = line.split()
+            if not parts:
+                continue
+            cmd = parts[0].upper()
+
+            if cmd in ("HELP", "?"):
+                print_help()
+
+            elif cmd == "F" and len(parts) > 1:
+                hz = int(float(parts[1]))
+                if mode == "S":
+                    dds.set_frequency(hz)
+                    print("OK F %d (сигнал)" % dds.freq)
+                    if dds.needs_warning():
+                        print("! ВНИМАНИЕ: частота недостижима — %s"
+                              % dds.suggest_reduction())
+                        print("! Сейчас реально: %.1f Гц" % dds.f_out_actual())
+                else:
+                    square.set_frequency(hz)
+                    print("OK F %d (прямоугольник)" % hz)
+
+            elif cmd == "SF" and len(parts) > 1:
+                dds.set_frequency(int(float(parts[1])))
+                print("OK SF %d" % dds.freq)
+                if dds.needs_warning():
+                    print("! ВНИМАНИЕ: частота недостижима — %s"
+                          % dds.suggest_reduction())
+                    print("! Сейчас реально: %.1f Гц" % dds.f_out_actual())
+
+            elif cmd == "W" and len(parts) > 1:
+                want = "S" if parts[1].upper().startswith("S") else "Q"
+                if want == mode:
+                    print("OK W %s (уже)" % mode)
+                else:
+                    try:
+                        if want == "S":
+                            # запомнить частоту прямоугольника, погасить его,
+                            # освободить слайс и запустить аудио-ШИМ
+                            saved_square_hz = square.pwm.frequency
+                            square.off()
+                            square.deinit()
+                            square = None
+                            dds.ensure()
+                            mode = "S"
+                            print("OK W S (audiopwmio: %s)" % dds.info())
+                        else:
+                            # остановить аудио, вернуть ШИМ на тот же GP15
+                            dds.release()
+                            square = SquarePWM()
+                            square.set_frequency(saved_square_hz)
+                            square.set_duty(128)
+                            mode = "Q"
+                            print("OK W Q (PWM на GP15, %d Гц)"
+                                  % saved_square_hz)
+                    except Exception as e:
+                        print("ERR W %s:" % want, repr(e))
+
+            elif cmd == "D" and len(parts) > 1:
+                if mode == "Q" and square is not None:
+                    square.set_duty(int(parts[1]))
+                print("OK D %s" % parts[1])
+
+            elif cmd == "M" and len(parts) > 1:
+                dds.set_amplitude(int(parts[1]))
+                print("OK M %d" % dds.level)
+
+            elif cmd == "A":
+                print("A %d" % measure_amplitude_mv())
+
+            elif cmd == "SWEEP" and len(parts) > 4:
+                run_sweep(dds, square, mode,
+                          float(parts[1]), float(parts[2]),
+                          int(parts[3]), int(parts[4]))
+
+            elif cmd == "STOP":
+                print("OK STOP (если свип идёт — надёжнее Ctrl-C)")
+
+            elif cmd == "B" and len(parts) > 1:
+                try:
+                    dds.set_bits(int(parts[1]))
+                    print("OK B %d" % dds.bits)
+                except Exception as e:
+                    print("ERR B:", repr(e))
+
+            elif cmd == "O" and len(parts) > 1:
+                try:
+                    dds.set_oversample(int(parts[1]))
+                    print("OK O %d" % dds.oversample)
+                except Exception as e:
+                    print("ERR O:", repr(e))
+
+            elif cmd == "N" and len(parts) > 1:
+                try:
+                    dds.set_n(int(parts[1]))
+                    print("OK N %d" % dds.n)
+                except Exception as e:
+                    print("ERR N:", repr(e))
+
+            elif cmd == "FN" and len(parts) > 1:
+                name = parts[1].lower()
+                if name in WAVES:
+                    try:
+                        dds.set_function(WAVES[name], name=name)
+                        print("OK FN %s" % name)
+                    except Exception as e:
+                        print("ERR FN:", repr(e))
+                else:
+                    print("ERR FN: неизвестная форма. Доступны: %s"
+                          % ", ".join(sorted(WAVES)))
+
+            elif cmd == "FP" and len(parts) > 1:
+                expr = line.strip()[len("FP"):].strip()
+                if expr:
+                    err = _expr_ok(expr)
+                    if err:
+                        print("ERR FP: %s" % err)
+                    else:
+                        try:
+                            dds.set_function(_make_expr_wave(expr),
+                                             name="FP:" + expr)
+                            print("OK FP %s" % expr)
+                        except Exception as e:
+                            print("ERR FP:", repr(e))
+                            dds.reset_function()
+                else:
+                    print("ERR FP: укажите выражение, например "
+                          "FP 0.3*sin(2*pi*t)+0.5*sin(4*pi*t)")
+
+            elif cmd == "CLC" and len(parts) > 1:
+                # Команда есть в вариантах 3–4 (тактов PIO на сэмпл).
+                # Здесь PIO нет: частоту задаёт DMA-таймер, подстраивать
+                # нечего. Принимаем, чтобы общий сценарий не падал.
+                print("OK CLC %s (не применима: здесь нет PIO; для поправки "
+                      "частоты — CAL)" % parts[1])
+
+            elif cmd == "CAL" and len(parts) > 1:
+                try:
+                    was, now = dds.calibrate(float(parts[1]))
+                    print("OK CAL: поправка %.6f -> %.6f (Fs=%d Гц, "
+                          "физическая частота должна стать %d Гц)"
+                          % (was, now, dds.sample_rate_used(), dds.freq))
+                except Exception as e:
+                    print("ERR CAL:", repr(e))
+
+            elif cmd == "I":
+                print("# " + dds.info())
+
+            else:
+                print("ERR unknown command: %s" % cmd)
+
+    except KeyboardInterrupt:
+        pass
+    finally:
+        dds.deinit()
+        if square is not None:
+            square.deinit()
+        if trig is not None:
+            try:
+                trig.deinit()
+            except Exception:
+                pass
+        print("stopped")
+
+
+# ─────────────── точка входа ───────────────
+#
+# Как и в других вариантах, запускаем безусловно: в CircuitPython проверка
+# `if __name__ == "__main__":` при автозапуске code.py ненадёжна.
+
+_START_GENERATOR = True
+
+if _START_GENERATOR:
+    try:
+        main()
+    except KeyboardInterrupt:
+        pass
+    except Exception as _e:
+        try:
+            import sys as _sys
+            _sys.print_exception(_e)
+        except Exception:
+            print("! ОШИБКА:", repr(_e))
diff --git a/task.md b/task.md
index 7c64766..668024a 100644
--- a/task.md
+++ b/task.md
@@ -197,8 +197,14 @@ K(f) = 1 / √(1 + (f/f_c)²),   f_c = 1/(2π·R·C)
 | `01-...-circuitpython.py` | CircuitPython | программный DDS + ШИМ |
 | `04-dds-pio-rp2040.py` | CircuitPython | аппаратный PIO + DMA |
 | `04-dds-pio-rp2040.ino` | Arduino, **только earlephilhower** | аппаратный PIO + DMA |
+| `05-dds-audiopwm-rp2040.py` | CircuitPython | аудио-ШИМ (`audiopwmio`) + DMA; только до ~3 кГц |
 
 **Рекомендуется вариант на PIO** — точная частота, CPU свободен.
+Вариант 3 (`04-dds-pio-rp2040.py`) проверен на стенде: логическим
+анализатором снят цифровой выход, форма синуса верная.
+Вариант 5 — если интересно, как звук выводят штатными средствами ядра
+(`audiopwmio`); он ограничен сверху ~3 кГц, потому что частота
+сэмплирования не может быть выше 48 кГц.
 У `.ino`-варианта на PIO форма сигнала задаётся функцией `waveform(t)`
 **в коде** (перекомпилировать после правки) — в C++ нет разбора формул
 на лету, как в CircuitPython-версии.