From d536e3127a04de355652f6ba2a84b604fa98afae Mon Sep 17 00:00:00 2001 From: Nils Pukropp Date: Fri, 6 Nov 2026 13:17:29 +0100 Subject: [PATCH] feat(weld): show the alignment's delay spread Weld's allpass sections add group delay between 500 Hz and 4 kHz, where listeners hear it best. Liski et al. (2021) measured a threshold of about 0.64 ms for a positive group-delay peak on clicks. Weld now reports how much its delay varies over that range and, above the threshold, suggests comparing attacks in SUM and SUM DRY. Common fits from Weld's own tests spread 0.82-1.03 ms, so the line is a neutral note, not a warning: sustained bass hides much more than a click. - Fit::group_delay (analytic, per section) and Fit::smear_ms in weld-core. - Report::smear_ms, filled by the analyzer from the applied fit. - Tests against the numeric phase slope and the analog 4Q/w0 peak. - Display only; the audio path does not change. --- docs/weld/CHANGELOG.md | 7 +++ docs/weld/README.md | 5 ++ docs/weld/assets/editor.png | Bin 264013 -> 272302 bytes plugins/weld/core/src/analyzer.rs | 1 + plugins/weld/core/src/chain.rs | 47 +++++++++++++++++ plugins/weld/core/src/lib.rs | 2 +- plugins/weld/core/src/report.rs | 4 ++ plugins/weld/core/tests/group_delay.rs | 70 +++++++++++++++++++++++++ plugins/weld/ui/src/lib.rs | 24 ++++++++- 9 files changed, 158 insertions(+), 2 deletions(-) create mode 100644 plugins/weld/core/tests/group_delay.rs diff --git a/docs/weld/CHANGELOG.md b/docs/weld/CHANGELOG.md index 5026d5d..90b0da9 100644 --- a/docs/weld/CHANGELOG.md +++ b/docs/weld/CHANGELOG.md @@ -1,5 +1,12 @@ # Weld changelog +## Unreleased + +- Show the **delay spread**: how much the alignment's group delay changes + between 500 Hz and 4 kHz, where listeners hear it best. Above 0.64 ms (the + threshold Liski et al. 2021 measured on clicks) a note suggests comparing + attacks in SUM and SUM DRY. Display only; the sound does not change. + ## 0.2.0 - Change the CLAP ID to `io.narl.bass-foundry.weld`. Hosts see this as a new diff --git a/docs/weld/README.md b/docs/weld/README.md index 5699294..43fc44c 100644 --- a/docs/weld/README.md +++ b/docs/weld/README.md @@ -50,6 +50,11 @@ plugins. Keep the font license with redistributed packages. - The lower plot shows the phase of this layer against the other one, before (grey) and after (pink), and Weld's own phase curve (blue). After alignment the pink line sits near 0°. + - **Delay spread** under the sections is how much Weld's delay changes + between 500 Hz and 4 kHz. On clicks, listeners hear about 0.6 ms of change + there (Liski et al. 2021); sustained bass hides much more, and common fits + reach 0.8–1 ms. Above that threshold Weld adds a note: on a plucky layer, + compare the attacks in SUM and SUM DRY. Fewer sections usually spread less. 3. Compare by ear: mute the other layer's own route to the master, set **Listen** to **SUM**, then to **SUM DRY**. 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A constant delay counts as zero. + pub fn smear_ms(&self, rate: f32) -> f32 { + if self.active().is_empty() { + return 0.; + } + let high = SMEAR_HIGH.min(max_fc(rate)); + let (mut lo, mut hi) = (f32::MAX, f32::MIN); + for i in 0..SMEAR_POINTS { + let f = SMEAR_LOW * (high / SMEAR_LOW).powf(i as f32 / (SMEAR_POINTS - 1) as f32); + let d = self.group_delay(f, rate); + lo = lo.min(d); + hi = hi.max(d); + } + (hi - lo).max(0.) * 1000. + } } pub fn max_fc(rate: f32) -> f32 { @@ -104,6 +141,16 @@ impl Coefs { // times z⁻² = c2 − j s2 (qr * c2 + qi * s2, qi * c2 - qr * s2) } + /// Group delay in samples, given cos/sin of ω and 2ω. With H = z⁻²·conj(D)/D the + /// phase is −2ω − 2·arg D, so the delay is 2 + 2·d(arg D)/dω. + #[inline] + pub fn group_delay(&self, c1: f32, s1: f32, c2: f32, s2: f32) -> f32 { + let x = 1. + self.a1 * c1 + self.a2 * c2; + let y = -(self.a1 * s1 + self.a2 * s2); + let dx = -(self.a1 * s1 + 2. * self.a2 * s2); + let dy = -(self.a1 * c1 + 2. * self.a2 * c2); + 2. + 2. * (x * dy - y * dx) / (x * x + y * y) + } } /// Transposed direct form II state, in f64 so sections near 30 Hz stay quiet. diff --git a/plugins/weld/core/src/lib.rs b/plugins/weld/core/src/lib.rs index 1ab6093..81a2f24 100644 --- a/plugins/weld/core/src/lib.rs +++ b/plugins/weld/core/src/lib.rs @@ -9,7 +9,7 @@ mod report; mod settings; mod worker; pub use analyzer::{Analyzer, Update}; -pub use chain::{Chain, Fit, Section, MAX_SECTIONS}; +pub use chain::{Chain, Fit, Section, MAX_SECTIONS, SMEAR_AUDIBLE_MS, SMEAR_HIGH, SMEAR_LOW}; pub use report::{ band_edge, curve_frequency, Band, CurvePoint, Report, Status, BANDS, CURVE, DISPLAY_HIGH, DISPLAY_LOW, diff --git a/plugins/weld/core/src/report.rs b/plugins/weld/core/src/report.rs index b9a57cf..cceef75 100644 --- a/plugins/weld/core/src/report.rs +++ b/plugins/weld/core/src/report.rs @@ -83,6 +83,9 @@ pub struct Report { pub lag_ms: f32, /// How clear the time offset is, 0..1. pub lag_strength: f32, + /// How much the alignment's group delay varies between `SMEAR_LOW` and `SMEAR_HIGH`, + /// ms. Above `SMEAR_AUDIBLE_MS`, sharp attacks in this layer may soften. + pub smear_ms: f32, /// Measured frames in the current average. pub frames: u32, pub low: f32, @@ -100,6 +103,7 @@ impl Default for Report { recovered_db: 0., lag_ms: 0., lag_strength: 0., + smear_ms: 0., frames: 0, low: 60., high: 6000., diff --git a/plugins/weld/core/tests/group_delay.rs b/plugins/weld/core/tests/group_delay.rs new file mode 100644 index 0000000..d939172 --- /dev/null +++ b/plugins/weld/core/tests/group_delay.rs @@ -0,0 +1,70 @@ +use weld_core::{Fit, Section, SMEAR_AUDIBLE_MS}; + +const RATE: f32 = 48000.; + +fn fit(sections: &[(f32, f32)], flip: bool) -> Fit { + let mut fit = Fit { + flip, + count: sections.len(), + ..Fit::NONE + }; + for (s, &(fc, q)) in fit.sections.iter_mut().zip(sections) { + *s = Section { fc, q }; + } + fit +} + +/// Phase of the fit at `f`, from its complex response. +fn phase(fit: &Fit, f: f64) -> f64 { + let (re, im) = fit.response(f as f32, RATE); + (im as f64).atan2(re as f64) +} + +#[test] +fn group_delay_matches_the_phase_slope() { + let fit = fit(&[(180., 0.9), (1200., 0.6), (3500., 2.)], false); + for f in [80., 250., 700., 1500., 3000., 8000.] { + let df = 0.5; + let mut dphi = phase(&fit, f + df) - phase(&fit, f - df); + while dphi > std::f64::consts::PI { + dphi -= std::f64::consts::TAU; + } + while dphi < -std::f64::consts::PI { + dphi += std::f64::consts::TAU; + } + let numeric = -dphi / (std::f64::consts::TAU * 2. * df); + let analytic = fit.group_delay(f as f32, RATE) as f64; + assert!( + (numeric - analytic).abs() < 2e-6 + 0.01 * numeric.abs(), + "{f} Hz: numeric {numeric}, analytic {analytic}" + ); + } +} + +#[test] +fn one_section_peaks_near_the_analog_value() { + // A second-order analog allpass delays 4·Q/ω₀ at its centre. + let (fc, q) = (1000., 0.7); + let delay = fit(&[(fc, q)], false).group_delay(fc, RATE); + let analog = 4. * q / (std::f32::consts::TAU * fc); + assert!((delay - analog).abs() < 0.05 * analog, "{delay} vs {analog}"); +} + +#[test] +fn no_sections_and_polarity_do_not_smear() { + assert_eq!(Fit::NONE.smear_ms(RATE), 0.); + assert_eq!(fit(&[], true).smear_ms(RATE), 0.); + let one = fit(&[(1000., 0.7)], false); + assert_eq!(one.smear_ms(RATE), fit(&[(1000., 0.7)], true).smear_ms(RATE)); +} + +#[test] +fn smear_separates_gentle_and_sharp_fits() { + // Above 500 Hz a low section has only its tail left: well under the threshold. + let low = fit(&[(80., 0.7)], false).smear_ms(RATE); + assert!(low < 0.25 * SMEAR_AUDIBLE_MS, "{low}"); + // A high-Q section at 1 kHz puts a 2.5 ms peak inside the range. + let sharp = fit(&[(1000., 4.)], false).smear_ms(RATE); + assert!(sharp > SMEAR_AUDIBLE_MS, "{sharp}"); + assert!(sharp > 2. && sharp < 2.7, "{sharp}"); +} diff --git a/plugins/weld/ui/src/lib.rs b/plugins/weld/ui/src/lib.rs index e943c5a..dc0b27d 100644 --- a/plugins/weld/ui/src/lib.rs +++ b/plugins/weld/ui/src/lib.rs @@ -3,7 +3,7 @@ use common_ui::*; use egui::{self, Color32, FontId, Pos2, Rect, RichText, Sense, Stroke, Vec2}; use weld_core::{ band_edge, curve_frequency, AnalyzerFrame, Listen, Mode, Report, Settings, Status, CURVE, - DISPLAY_HIGH, DISPLAY_LOW, MAX_SECTIONS, + DISPLAY_HIGH, DISPLAY_LOW, MAX_SECTIONS, SMEAR_AUDIBLE_MS, SMEAR_HIGH, SMEAR_LOW, }; pub use common_ui::style; @@ -218,6 +218,28 @@ fn summary(ui: &mut egui::Ui, settings: &Settings, state: &mut State) { .color(STEEL), ); } + if fit.count > 0 { + // Typical fits vary 0.8–1 ms here, above the click threshold, so this stays a + // neutral note rather than a warning: sustained bass hides much more. + let r = ui.label( + RichText::new(format!( + "Delay spread {:.2} ms, {}–{}", + report.smear_ms, + hz(SMEAR_LOW), + hz(SMEAR_HIGH) + )) + .size(12.) + .color(MUTED), + ); + if report.smear_ms > SMEAR_AUDIBLE_MS { + ui.label( + RichText::new("Clicks may soften: compare SUM, SUM DRY") + .size(12.) + .color(DIM), + ); + } + hint(&r, state, "How much the alignment's delay changes between 500 Hz and 4 kHz. On clicks, listeners hear changes from about 0.6 ms; sustained bass hides much more. On a plucky layer, compare SUM with SUM DRY on the attacks. Fewer sections usually vary less."); + } ui.add_space(10.); let (text, color) = status_text(&report, &frame, settings.mode); ui.label(RichText::new(text).size(13.).color(color));