Applying biquadratic filters to a music loop
At a glance
| Item | Summary |
|---|---|
| Purpose | Change the frequency response of an audio signal using a cascaded biquadratic filter. |
| App architecture | A Swift sample with the source-visible chain BiquadCoefficientsCalculatorApp → ContentView → FilterableMusicProvider → Accelerate APIs. |
| Main patterns | Protocol-oriented abstraction, SwiftUI environment injection |
| Project style | 6 scanned source file(s) across Swift, organized around ranked entry, type, and file boundaries. |
Project structure
Source bundle/
├── vDSP-Biquad-Coefficients-Calculator/
│ ├── BiquadCoefficientsCalculatorApp.swift
│ ├── FilterableMusicProvider.swift
│ ├── ContentView.swift
│ ├── AudioUtilities.swift
│ ├── BiquadCoefficientCalculator.swift
│ └── MagnitudeResponseCalculator.swift
├── Configuration/
│ └── SampleCode.xcconfig
└── vDSP-Biquad-Coefficients-Calculator.xcodeproj/
├── .xcodesamplecode.plist
└── project.pbxproj
Structure observations
- Architecturally prominent files are ranked from entry points and role-named declarations; resource-only paths are omitted.
- Primary languages: Swift.
- The verified tree contains 3 project/configuration file(s) and 11 source declaration(s).
Overall architecture
flowchart LR
N1["BiquadCoefficientsCalculatorApp"]
N2["ContentView"]
N3["FilterableMusicProvider"]
N4["Accelerate APIs"]
N1 --> N2
N2 --> N3
N3 --> N4
Reference code
vDSP-Biquad-Coefficients-Calculator/BiquadCoefficientsCalculatorApp.swift:11 — architecture anchor
@main
struct BiquadCoefficientsCalculatorApp: App {
// ...
}Interpretation
The arrows summarize the source-visible entry, role-named types or folders, and framework direction; when nodes come from structural folders, the sequence is a high-level interpretation rather than proof that every adjacent node calls the next. Ownership is claimed only where the next section cites a stored property or assignment. The diagram is intentionally limited to the dominant path into Accelerate.
Ownership and state
classDiagram
BiquadCoefficientsCalculatorApp *-- FilterableMusicProvider : musicProvider
Parameters o-- Filtertype : filterType
Parameters o-- Frequency : frequency
Parameters o-- Q : Q
Ownership evidence
vDSP-Biquad-Coefficients-Calculator/BiquadCoefficientsCalculatorApp.swift:18 — stored dependency or nearest verified ownership anchor
@main
struct BiquadCoefficientsCalculatorApp: App {
// ...
let musicProvider = FilterableMusicProvider()
// ...
}| Owner | Object or state | Relationship | Mutation authority |
|---|---|---|---|
BiquadCoefficientsCalculatorApp |
FilterableMusicProvider (musicProvider) |
creates and retains | Initialized by the owner; the binding is immutable |
Parameters |
Filtertype (filterType) |
stores or receives | App/module collaborators |
Parameters |
Frequency (frequency) |
stores or receives | App/module collaborators |
Parameters |
Q (Q) |
stores or receives | App/module collaborators |
Composition arrows indicate a source-visible construction expression or locally owned value state; aggregation means the owner stores or receives a dependency without proving exclusive lifetime ownership.
Class and protocol design
vDSP-Biquad-Coefficients-Calculator/AudioUtilities.swift:160 — representative type boundary
protocol SignalProvider {
func getSignal() -> [Float]
var sampleRate: CMTimeScale { get }
}| Type | Responsibility | Depends on or conforms to |
|---|---|---|
BiquadCoefficientsCalculatorApp |
Application entry and top-level composition | App |
SignalProvider |
Defines a capability or collaboration contract | Concrete collaborators/imported frameworks |
FilterableMusicProvider |
Supplies a capability or framework resource | ObservableObject |
ContentView |
User-interface presentation and input forwarding | View |
SignalGenerator |
Generates feature data or resources | Concrete collaborators/imported frameworks |
Parameters |
Owns feature behavior and collaborator lifecycle | Concrete collaborators/imported frameworks |
AudioUtilities |
Represents a feature value or composable behavior | Concrete collaborators/imported frameworks |
BiquadCoefficientCalculator |
Represents a feature value or composable behavior | Concrete collaborators/imported frameworks |
FilterType |
Defines a closed set of feature states or choices | String, CaseIterable, Identifiable |
SectionCoefficients |
Represents a feature value or composable behavior | CustomStringConvertible |
The source explicitly defines local protocol relationships: FilterableMusicProvider → SignalProvider.
Access control
| Symbol | Access | Verified effect | Likely rationale |
|---|---|---|---|
engine (vDSP-Biquad-Coefficients-Calculator/AudioUtilities.swift:84) |
private |
Use is restricted to the lexical declaration and same-file extensions allowed by Swift. | Inference: keep state mutation or dependency lifetime inside the owning implementation. |
page (vDSP-Biquad-Coefficients-Calculator/AudioUtilities.swift:87) |
private |
Use is restricted to the lexical declaration and same-file extensions allowed by Swift. | Inference: keep state mutation or dependency lifetime inside the owning implementation. |
signalProvider (vDSP-Biquad-Coefficients-Calculator/AudioUtilities.swift:91) |
private |
Use is restricted to the lexical declaration and same-file extensions allowed by Swift. | Inference: keep state mutation or dependency lifetime inside the owning implementation. |
format (vDSP-Biquad-Coefficients-Calculator/AudioUtilities.swift:97) |
private |
Use is restricted to the lexical declaration and same-file extensions allowed by Swift. | Inference: keep state mutation or dependency lifetime inside the owning implementation. |
Reference code
vDSP-Biquad-Coefficients-Calculator/AudioUtilities.swift:84 — representative boundary
private let engine = AVAudioEngine()Swift declarations without a modifier are internal; explicit private, fileprivate, private(set), public, or open entries above are interpreted by language semantics. Objective-C/C samples instead rely on header and implementation boundaries, which are not equivalent to Swift lexical privacy.
Logic ownership and placement
| Logic | Owning type or file | Placement rationale |
|---|---|---|
| Application entry and top-level composition | BiquadCoefficientsCalculatorApp |
The source’s App suffix makes this role explicit. |
| Generates feature data or resources | SignalGenerator |
The source’s Generator suffix makes this role explicit. |
| Supplies a capability or framework resource | FilterableMusicProvider, SignalProvider |
The source’s Provider suffix makes this role explicit. |
| User-interface presentation and input forwarding | ContentView |
The source’s View suffix makes this role explicit. |
Design patterns
| Pattern | Source evidence | Purpose or tradeoff |
|---|---|---|
| Protocol-oriented abstraction | vDSP-Biquad-Coefficients-Calculator/FilterableMusicProvider.swift:212 |
A local protocol and concrete conformance create an explicit capability boundary. |
| SwiftUI environment injection | vDSP-Biquad-Coefficients-Calculator/ContentView.swift:12 |
The environment supplies state or a capability without threading it through every initializer. |
Naming conventions
- Types: App: BiquadCoefficientsCalculatorApp; Generator: SignalGenerator; Provider: FilterableMusicProvider, SignalProvider; View: ContentView.
- Protocols:
SignalProvider. - Methods:
loadAudioSamples,setSelectedSectionCoefficients,getSignal,makeFrequencyDomainWaveform,updatePath,getAudioSamples,start,getSignalElement. - Files:
vDSP-Biquad-Coefficients-Calculator/BiquadCoefficientsCalculatorApp.swift,vDSP-Biquad-Coefficients-Calculator/FilterableMusicProvider.swift,vDSP-Biquad-Coefficients-Calculator/ContentView.swift,vDSP-Biquad-Coefficients-Calculator/AudioUtilities.swift,vDSP-Biquad-Coefficients-Calculator/BiquadCoefficientCalculator.swift,vDSP-Biquad-Coefficients-Calculator/MagnitudeResponseCalculator.swift.
Architecture takeaways
BiquadCoefficientsCalculatorAppis the main source-visible entry or composition anchor for this sample.- Framework work reaches Accelerate, SwiftUI, AVFoundation through a deliberately small high-level chain; the detailed API graph remains inside the cited implementation files.
- Stored-property evidence identifies lifecycle collaboration; it does not by itself prove exclusive object ownership.
- Access-control conclusions separate verified language visibility from the likely design rationale.
- Local protocol relationships provide an explicit substitution boundary.
Source map
| Source file | Relevant symbols |
|---|---|
vDSP-Biquad-Coefficients-Calculator/BiquadCoefficientsCalculatorApp.swift |
BiquadCoefficientsCalculatorApp |
vDSP-Biquad-Coefficients-Calculator/FilterableMusicProvider.swift |
FilterableMusicProvider, Parameters |
vDSP-Biquad-Coefficients-Calculator/ContentView.swift |
ContentView |
vDSP-Biquad-Coefficients-Calculator/AudioUtilities.swift |
AudioUtilities, SignalGenerator, SignalProvider |
vDSP-Biquad-Coefficients-Calculator/BiquadCoefficientCalculator.swift |
BiquadCoefficientCalculator, FilterType, SectionCoefficients |
vDSP-Biquad-Coefficients-Calculator/MagnitudeResponseCalculator.swift |
MagnitudeResponseCalculator |