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# synth-core
A `no_std` DSP library providing analogue-modelling synthesizer building blocks. Designed to compile for any target — embedded bare-metal (Cortex-M), WebAssembly, and native — with no heap allocation.
## Overview
`synth-core` is the shared engine that powers both the RP2350 firmware (`synth-embedded`) and the browser visualiser (`synth-visualiser`). All modules operate on fixed-size blocks of `f32` samples using const-generic arrays, so every allocation happens on the stack at compile time.
```
VCO → Filter → VCA ← ADSR
↑ ↑
LFO LFO
```
## Modules
### `oscillator` — Voltage-Controlled Oscillator
Phase-accumulator oscillator with five waveforms.
```rust
use synth_core::{config::SR_48000, oscillator::{Vco, Waveform}, AudioProcessor};
let mut vco = Vco::new(SR_48000, 440.0, Waveform::Saw);
vco.waveform = Waveform::Square;
vco.freq_hz = 880.0;
let mut buf = [0.0f32; 256];
vco.process(&mut buf); // fills buf with one block of audio
```
**Waveforms:** `Sine`, `Saw`, `Square`, `Triangle`, `Pulse(f32)` (duty cycle 01).
### `filter` — State-Variable Filter
Two-integrator SVF with selectable mode and voltage-controlled cutoff.
```rust
use synth_core::{config::SR_48000, filter::{FilterMode, Svf}, AudioProcessor};
let mut filt = Svf::new(SR_48000, 2_000.0, 0.5, FilterMode::LowPass);
filt.cutoff_hz = 1_000.0;
filt.resonance = 0.8; // 0.0 = flat, 1.0 = self-oscillation
filt.process(&mut buf); // in-place
```
**Modes:** `LowPass`, `HighPass`, `BandPass`, `Notch`.
### `envelope` — ADSR Envelope Generator
Classic Attack / Decay / Sustain / Release envelope.
```rust
use synth_core::{config::SR_48000, envelope::Adsr, AudioProcessor};
let mut adsr = Adsr::new(SR_48000);
adsr.attack_s = 0.01;
adsr.decay_s = 0.2;
adsr.sustain = 0.7; // 0.01.0
adsr.release_s = 0.5;
adsr.gate_on(); // key press
let mut env = [0.0f32; 256];
adsr.process(&mut env); // outputs 0.01.0 amplitude envelope
adsr.gate_off(); // key release
```
### `vca` — Voltage-Controlled Amplifier
Multiplies audio by a gain value, optionally driven by an envelope.
```rust
use synth_core::{config::SR_48000, vca::Vca};
let mut vca = Vca::new(0.8); // fixed gain
vca.apply_envelope(&mut audio, &env); // per-sample multiply by envelope
```
### `lfo` — Low-Frequency Oscillator
Same waveform engine as the VCO, tuned to sub-audio rates.
```rust
use synth_core::{config::SR_48000, lfo::Lfo, oscillator::Waveform, AudioProcessor};
let mut lfo = Lfo::new(SR_48000);
lfo.rate_hz = 5.0;
lfo.depth = 0.5;
lfo.waveform = Waveform::Sine;
let mut cv = [0.0f32; 256];
lfo.process(&mut cv); // outputs ±depth CV
```
### `midi` — MIDI Byte-Stream Parser
Parses a raw MIDI byte stream (running status supported) into typed events.
```rust
use synth_core::midi::{MidiParser, MidiEvent};
let mut parser = MidiParser::new();
// Feed bytes from UART / USB
if let Some(event) = parser.push_byte(byte) {
match event {
MidiEvent::NoteOn { channel, note, velocity } => { /* ... */ }
MidiEvent::NoteOff { channel, note, velocity } => { /* ... */ }
MidiEvent::ControlChange { channel, controller, value } => { /* ... */ }
MidiEvent::PitchBend { channel, value } => { /* ... */ }
MidiEvent::ProgramChange { channel, program } => { /* ... */ }
_ => {}
}
}
```
### `patch` — Signal Routing / Patch Bay
Fixed-capacity cable graph connecting named outputs to inputs, no heap required.
```rust
use synth_core::patch::Patch;
let mut patch: Patch<16> = Patch::new(); // up to 16 cables
patch.connect("vco.out", "filter.in");
patch.connect("lfo.out", "filter.cv");
for cable in patch.cables() {
println!("{}{}", cable.src, cable.dst);
}
```
### `math` — Utility Functions
```rust
use synth_core::math::{midi_note_to_hz, db_to_linear, linear_to_db, lerp};
let freq = midi_note_to_hz(69); // 440.0 Hz (A4)
let gain = db_to_linear(-6.0); // ≈ 0.501
```
### `config` — Sample Rate
```rust
use synth_core::config::{SampleRate, SR_44100, SR_48000};
let period = SR_48000.period(); // 1.0 / 48000.0
```
## Traits
### `AudioProcessor<const BLOCK: usize>`
Implemented by every DSP module.
| Method | Description |
|--------|-------------|
| `process(&mut self, out: &mut [f32; BLOCK])` | Fill `out` with one block of samples |
| `reset(&mut self)` | Reset all internal state (phase, integrators, …) |
### `CVProcessor<const BLOCK: usize>`
Extends `AudioProcessor` for modules that accept a control-voltage input.
| Method | Description |
|--------|-------------|
| `set_cv(&mut self, cv: f32)` | Apply modulation (1 V/octave convention for pitch) |
## Complete Voice Example
```rust
use synth_core::{
config::SR_48000,
oscillator::{Vco, Waveform},
filter::{FilterMode, Svf},
envelope::Adsr,
vca::Vca,
AudioProcessor,
};
const BLOCK: usize = 256;
let sr = SR_48000;
let mut vco = Vco::new(sr, 440.0, Waveform::Saw);
let mut filt = Svf::new(sr, 2_000.0, 0.4, FilterMode::LowPass);
let mut adsr = Adsr::new(sr);
let mut vca = Vca::new(1.0);
adsr.gate_on();
let mut audio = [0.0f32; BLOCK];
let mut env = [0.0f32; BLOCK];
loop {
vco.process(&mut audio);
adsr.process(&mut env);
filt.process(&mut audio);
vca.apply_envelope(&mut audio, &env);
// send `audio` to output device
}
```
## Dependencies
| Crate | Purpose |
|-------|---------|
| `libm` | `no_std`-compatible transcendental math (`sin`, `pow`, …) |
| `micromath` | Fast numerical approximations |
| `num-traits` | Numeric trait abstractions |
| `heapless` | Fixed-size `Vec`/`ArrayVec` without allocation |
| `midi-types` | MIDI type definitions |
| `serde` | Optional serialization support |
## Building
```bash
# Native (for tests)
cargo test -p synth-core
# WebAssembly
cargo build -p synth-core --target wasm32-unknown-unknown
# Embedded (Cortex-M33, RP2350)
cargo build -p synth-core --target thumbv8m.main-none-eabihf
```