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feat: reactive silencers, HVAC attenuation, machine enclosures and the radiating piston#232

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jmrplens merged 5 commits into
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feat/noise-control-silencers
Jul 19, 2026
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feat: reactive silencers, HVAC attenuation, machine enclosures and the radiating piston#232
jmrplens merged 5 commits into
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feat/noise-control-silencers

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@jmrplens

@jmrplens jmrplens commented Jul 19, 2026

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Summary

Industrial noise control in a new phonometry.noise_control domain, plus the radiating piston in electroacoustics, clean-room from Bies, Hansen and Howard, Ver and Beranek, and Beranek and Mellow.

  • Reactive silencers by the four-pole (transmission-matrix) method: expansion chamber, Helmholtz and quarter-wave side resonators and the extended-tube chamber, with configurable source and termination impedances, returning TL, IL, the transfer matrix and resonances. Low-level duct, shunt and cascade primitives are exposed too.
  • HVAC attenuation: end-reflection loss, elbow insertion loss, plenum attenuation and straight-duct and bend flow-noise regeneration.
  • Machine enclosures: enclosure_insertion_loss from a caller-supplied panel transmission loss (measured, from a catalogue, or from the library's own panel prediction) and the interior room constant.
  • radiating_piston: radiation resistance, reactance and directivity of a circular piston in an infinite baffle.

The enclosure takes the panel R as an input rather than importing a predictor, so this stands alone; the interior correction reuses the existing room constant.

Validation

The expansion chamber matches its closed form to machine precision (peaks 1.94/6.55/12.18/18.10 dB for area ratios 2/4/8/16), the quarter-wave tuning reproduces the Bies worked example (56.6 Hz), det(T)=1 reciprocity and cascade additivity hold, and IL equals TL for the anechoic reference. The piston matches the closed-form resistance, reactance and directivity, the small- and large-ka limits, the radiation mass and the first directivity null. HVAC nodes hit the ASHRAE and VDI tables. An independent 2D FDTD of one expansion chamber gives a 6.57 dB peak-to-trough ratio against the 6.55 dB closed form. Fourteen new conformance checks (339 total, byte-exact report).

Review found and fixed a real sign inversion in insertion_loss (its identity-only test could not catch it) and a missing constant in the straight-duct flow-noise formula, and corrected a docstring where a reviewer suggestion would have introduced a bug.

Checks

ruff, mypy, bandit, full pytest (3895 passed, no new warnings), conformance byte-exact, figures within tolerance (856, four new variants), api-docs with no drift, site i18n parity and full build clean. Adversarially reviewed in two passes.

Review in cubic

Summary by CodeRabbit

  • New Features

    • Added industrial noise-control models for reactive duct silencers (expansion chambers, Helmholtz/quarter-wave resonators, extended tubes), HVAC duct end reflection/elbow/plenum attenuation, and flow-generated duct noise, plus machine-enclosure insertion loss.
    • Added infinite-baffle rigid circular piston radiation analysis (impedance components, directivity/directivity index, radiation mass) with plotting.
    • Exposed new analysis functions and result objects via the public API.
  • Documentation

    • Added/updated industrial noise-control and radiating-piston guides, API reference pages, figures, Spanish translations, and updated numerical conformance coverage.
  • Tests

    • Added extensive unit tests, including an independent FDTD cross-check for the expansion-chamber model.

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Sorry @jmrplens, your pull request is larger than the review limit of 150000 diff characters

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⚙️ Run configuration

Configuration used: Organization UI

Review profile: ASSERTIVE

Plan: Pro

Run ID: 13e739b0-d4cf-4833-8fd2-edc7bc27151c

📥 Commits

Reviewing files that changed from the base of the PR and between ede9056 and 82b8402.

⛔ Files ignored due to path filters (5)
  • .github/images/silencer_expansion_chamber.svg is excluded by !**/*.svg
  • .github/images/silencer_expansion_chamber_dark.svg is excluded by !**/*.svg
  • .github/images/silencer_expansion_chamber_es.svg is excluded by !**/*.svg
  • .github/images/silencer_expansion_chamber_es_dark.svg is excluded by !**/*.svg
  • site/src/generated/api-sidebar.mjs is excluded by !**/generated/**
📒 Files selected for processing (35)
  • CHANGELOG.md
  • docs/CONFORMANCE.md
  • docs/README.md
  • docs/api-reference.md
  • docs/electroacoustics.md
  • docs/noise-control.md
  • llms-full.txt
  • scripts/api_taxonomy.py
  • scripts/conformance_report.py
  • scripts/generate_graphs.py
  • site/astro.config.mjs
  • site/src/content/docs/es/guides/electroacoustics.mdx
  • site/src/content/docs/es/guides/noise-control.mdx
  • site/src/content/docs/guides/electroacoustics.mdx
  • site/src/content/docs/guides/noise-control.mdx
  • site/src/content/docs/reference/api/electroacoustics/piston.md
  • site/src/content/docs/reference/api/index.md
  • site/src/content/docs/reference/api/noise_control/enclosures.md
  • site/src/content/docs/reference/api/noise_control/hvac.md
  • site/src/content/docs/reference/api/noise_control/silencers.md
  • src/phonometry/__init__.py
  • src/phonometry/_plot/electroacoustics.py
  • src/phonometry/_plot/noise_control.py
  • src/phonometry/electroacoustics/__init__.py
  • src/phonometry/electroacoustics/piston.py
  • src/phonometry/noise_control/__init__.py
  • src/phonometry/noise_control/enclosures.py
  • src/phonometry/noise_control/hvac.py
  • src/phonometry/noise_control/silencers.py
  • tests/electroacoustics/test_piston.py
  • tests/noise_control/test_enclosures.py
  • tests/noise_control/test_fdtd_crosscheck.py
  • tests/noise_control/test_hvac.py
  • tests/noise_control/test_silencers.py
  • tests/test_package_architecture.py
📝 Walkthrough

Walkthrough

Added rigid-piston radiation analysis and industrial noise-control models for silencers, HVAC systems, and enclosures. The changes include result objects, plotting, public exports, documentation, generated figures, conformance checks, and numerical validation tests.

Changes

Acoustics and industrial noise control

Layer / File(s) Summary
Radiating piston model
src/phonometry/electroacoustics/piston.py, tests/electroacoustics/*, docs/electroacoustics.md, site/src/content/docs/...
Implements piston radiation impedance, directivity, directivity index, result packaging, plotting, exports, and reference documentation.
Reactive silencer transfer-matrix models
src/phonometry/noise_control/silencers.py, src/phonometry/_plot/noise_control.py, tests/noise_control/test_silencers.py, tests/noise_control/test_fdtd_crosscheck.py
Adds duct and shunt matrices, cascades, resonator constructors, transmission/insertion loss, plotting, and analytic/FDTD validation.
HVAC and enclosure calculations
src/phonometry/noise_control/hvac.py, src/phonometry/noise_control/enclosures.py, tests/noise_control/test_hvac.py, tests/noise_control/test_enclosures.py
Adds duct attenuation, flow-noise, plenum, and enclosure insertion-loss calculations with result types, plotting, validation, and tests.
Public API and documentation integration
src/phonometry/__init__.py, scripts/*, docs/*, site/*
Registers exports, API taxonomy, navigation, guides, generated figures, changelog entries, and conformance results.

Estimated code review effort: 4 (Complex) | ~60 minutes

Sequence Diagram(s)

sequenceDiagram
  participant Caller
  participant phonometry
  participant NoiseControlModel
  participant Result
  Caller->>phonometry: invoke acoustic analysis API
  phonometry->>NoiseControlModel: validate inputs and compute model
  NoiseControlModel-->>Result: return arrays, metadata, and derived values
  Result-->>Caller: expose fields and plot()
Loading

Possibly related PRs

  • jmrplens/phonometry#180: Updates the API taxonomy and documentation-generation workflow for newly added public modules.

Poem

A rabbit hears ducts hum low,
Pistons sing and resonances glow.
Matrices hop from end to end,
HVAC bands now neatly blend.
Enclosures plot their quiet tune—
Binky beneath the acoustic moon!

🚥 Pre-merge checks | ✅ 4 | ❌ 1

❌ Failed checks (1 warning)

Check name Status Explanation Resolution
Docstring Coverage ⚠️ Warning Docstring coverage is 33.64% which is insufficient. The required threshold is 80.00%. Write docstrings for the functions missing them to satisfy the coverage threshold.
✅ Passed checks (4 passed)
Check name Status Explanation
Description Check ✅ Passed Check skipped - CodeRabbit’s high-level summary is enabled.
Title check ✅ Passed The title is specific and accurately summarizes the main additions: industrial noise-control features and the radiating piston model.
Linked Issues check ✅ Passed Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check ✅ Passed Check skipped because no linked issues were found for this pull request.
✨ Finishing Touches
🧪 Generate unit tests (beta)
  • Create PR with unit tests
  • Commit unit tests in branch feat/noise-control-silencers

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Code Review

This pull request introduces a new 'noise_control' domain to model reactive silencers, HVAC duct acoustics, and machine enclosures, alongside a new 'piston' module under 'electroacoustics' for baffled circular piston radiation and directivity. It includes comprehensive mathematical conformance checks, documentation, and tests. The review feedback suggests vectorizing the directivity index calculation in the piston module, validating that the sum of inlet and outlet extensions does not exceed the chamber length in silencers, and enforcing that internal absorption is at most a 1-D array or scalar in enclosures.

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Comment on lines +156 to +164
theta = np.linspace(0.0, 0.5 * np.pi, 2001)
sin_t = np.sin(theta)
di = np.empty_like(ka)
for i, kai in enumerate(ka):
d = np.asarray(piston_directivity(float(kai), theta), dtype=np.float64)
integrand = d**2 * sin_t
integral = float(np.trapezoid(integrand, theta))
di[i] = 10.0 * np.log10(2.0 / integral)
return di

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medium

The _directivity_index function currently loops over each ka value and performs a 2001-point trapezoidal integration sequentially. This can be significantly optimized by leveraging NumPy's broadcasting capabilities to vectorize the integration across all frequencies at once, avoiding the Python loop entirely.

    theta = np.linspace(0.0, 0.5 * np.pi, 2001)
    sin_t = np.sin(theta)
    d = piston_directivity(ka[:, None], theta[None, :])
    integrand = d**2 * sin_t[None, :]
    integral = np.trapezoid(integrand, theta, axis=-1)
    return 10.0 * np.log10(2.0 / integral)
References
  1. Do not use deprecated or removed NumPy 1.x functions (such as np.trapz) as fallbacks for NumPy 2.0+ features (such as np.trapezoid) when the project's minimum NumPy version is pinned to 2.0 or later, as these deprecated functions are removed in NumPy 2.0.

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Applied in ede9056: the directivity is vectorized; verified bit-identical (conformance report unchanged) and faster.

Comment on lines +543 to +544
la = require_non_negative(inlet_extension, "inlet_extension")
lb = require_non_negative(outlet_extension, "outlet_extension")

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medium

The sum of the inlet and outlet extensions (inlet_extension + outlet_extension) should not exceed the total chamber length, as they cannot physically overlap or extend past each other inside the chamber. Adding a validation check prevents physically impossible configurations.

Suggested change
la = require_non_negative(inlet_extension, "inlet_extension")
lb = require_non_negative(outlet_extension, "outlet_extension")
la = require_non_negative(inlet_extension, "inlet_extension")
lb = require_non_negative(outlet_extension, "outlet_extension")
if la + lb > length:
raise ValueError("The sum of inlet and outlet extensions cannot exceed the chamber length.")

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Applied in ede9056: an inlet+outlet extension exceeding the chamber length is rejected (they would physically overlap).

Comment on lines +135 to +137
alpha = np.asarray(internal_absorption, dtype=np.float64)
if np.any(alpha <= 0.0) or np.any(alpha >= 1.0) or not np.all(np.isfinite(alpha)):
raise ValueError("'internal_absorption' must lie strictly in (0, 1).")

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medium

Enforce that internal_absorption is at most a 1-D array or a scalar. If a multi-dimensional array is passed, it could lead to unexpected broadcasting behavior and shape mismatches when computing the insertion loss.

Suggested change
alpha = np.asarray(internal_absorption, dtype=np.float64)
if np.any(alpha <= 0.0) or np.any(alpha >= 1.0) or not np.all(np.isfinite(alpha)):
raise ValueError("'internal_absorption' must lie strictly in (0, 1).")
alpha = np.asarray(internal_absorption, dtype=np.float64)
if alpha.ndim > 1:
raise ValueError("'internal_absorption' must be a scalar or a 1-D array.")
if np.any(alpha <= 0.0) or np.any(alpha >= 1.0) or not np.all(np.isfinite(alpha)):
raise ValueError("'internal_absorption' must lie strictly in (0, 1).")
References
  1. When validating that numeric arrays or maps contain only strictly positive values, ensure they are also validated as finite (rejecting NaN and infinity), as a simple check like any(x <= 0) will fail to catch non-finite values.

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Applied in ede9056: absorption arrays with more than one dimension are rejected.

@codecov

codecov Bot commented Jul 19, 2026

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Codecov Report

❌ Patch coverage is 90.63745% with 47 lines in your changes missing coverage. Please review.
✅ Project coverage is 95.96%. Comparing base (ac2a7c4) to head (82b8402).

Files with missing lines Patch % Lines
src/phonometry/_plot/noise_control.py 70.00% 21 Missing ⚠️
src/phonometry/noise_control/silencers.py 94.15% 10 Missing ⚠️
src/phonometry/electroacoustics/piston.py 93.40% 6 Missing ⚠️
src/phonometry/noise_control/enclosures.py 89.47% 6 Missing ⚠️
src/phonometry/noise_control/hvac.py 95.50% 4 Missing ⚠️
Additional details and impacted files
@@            Coverage Diff             @@
##             main     #232      +/-   ##
==========================================
- Coverage   96.10%   95.96%   -0.14%     
==========================================
  Files         140      146       +6     
  Lines       18760    19262     +502     
==========================================
+ Hits        18029    18485     +456     
- Misses        731      777      +46     

☔ View full report in Codecov by Harness.
📢 Have feedback on the report? Share it here.

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github-actions Bot commented Jul 19, 2026

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Numerical conformance report

353/353 conformance checks pass across 44 domains and 224 standards - filters class 1 - weightings within IEC 61672-1 class 1.

Each row pins a standard clause to its expected normative value and the value the library computes. Every section below is collapsible and stays collapsed while all of its rows pass; a section with any failing row opens automatically.

Numerical validation - filters & weightings: class showcase (IEC 61260-1 · IEC 61672-1 · ISO 7196)

IEC 61260-1:2014 class per filter architecture (order 6, one-third-octave, 100 Hz-10 kHz, fs = 48 kHz). For each architecture the table shows, at its binding band, the measured relative attenuation and the class-1 limit it must clear, so the number and the range it must sit in are both visible. A positive margin means the acceptance limits are met with that much room.

Architecture Class verdict Binding band Measured rel. atten. Class-1 limit Margin cl.1 Margin cl.2
butter Class 1 (default) 100 Hz +0.00 dB ≥ -0.40 dB +0.400 dB +0.600 dB
cheby1 By design (passband ripple) 6310 Hz +0.19 dB ≥ +1.44 dB -1.246 dB -0.837 dB
cheby2 Class 1 100 Hz +0.00 dB ≥ -0.40 dB +0.400 dB +0.600 dB
ellip By design (passband ripple) 10000 Hz +0.10 dB ≥ +1.32 dB -1.218 dB -0.813 dB
bessel By design (soft rolloff) 100 Hz +12.46 dB ≥ +16.60 dB -4.133 dB -3.133 dB

Only Butterworth (the library default) and Chebyshev-II are class-compliant architectures. Chebyshev-I and elliptic trade the mask for passband ripple, and Bessel for a maximally-flat group delay (soft rolloff); they cannot satisfy the IEC 61260-1 Class 1/2 attenuation mask by construction, so they are labelled By design - this is expected, not a failure or regression.

Frequency-weighting conformance (A/C: IEC 61672-1 Table 3; G: ISO 7196 A.3). The max deviation from nominal is informational (it falls at a frequency extreme where the tolerance is widest and asymmetric); compliance is judged at the binding frequency - the one with the least headroom - where the deviation, the applicable tolerance band and the headroom are shown together.

Curve fs Max dev. from nominal (info) Binding freq Deviation there Tolerance band Headroom
A 48 kHz -0.867 dB @ 19953 Hz 1000 Hz +0.000 dB [-0.70, +0.70] dB +0.700 dB
A 96 kHz -0.482 dB @ 19953 Hz 1000 Hz +0.000 dB [-0.70, +0.70] dB +0.700 dB
C 48 kHz -0.900 dB @ 19953 Hz 1000 Hz +0.000 dB [-0.70, +0.70] dB +0.700 dB
G 48 kHz +0.047 dB @ 1 Hz 1 Hz +0.047 dB [-1.00, +1.00] dB +0.953 dB
Filters & weightings: 100% (7/7)
Standard Quantity Expected (norm) Computed Δ Status
IEC 61260-1:2014 Table 1 Octave-band filter class (butterworth, fs=48 kHz) class 1 class 1 (margin +0.400 dB) +0.400 dB
IEC 61260-1:2014 Table 1 One-third-octave filter class (butterworth, fs=48 kHz) class 1 class 1 (margin +0.400 dB) +0.400 dB
IEC 61260:1995 / ANSI S1.11-2004 Table 1 Class 0 (strictest) octave-band filter (butterworth, fs=48 kHz) class 0 class 0 (margin +0.150 dB) +0.150 dB
IEC 61260-1:2014 Table F.1 Formula (9) breakpoint mapping, b=3, Omega at G**(1/2) 1.12202 (+/-0.00001) 1.12202 0
IEC 61672-1:2013 Table 3 A-weighting deviation vs class-1 limits (fs=48 kHz) deviation within limits @ 1000 Hz +0.000 dB in [-0.70, +0.70] dB headroom +0.700 dB
IEC 61672-1:2013 Table 3 C-weighting deviation vs class-1 limits (fs=48 kHz) deviation within limits @ 1000 Hz +0.000 dB in [-0.70, +0.70] dB headroom +0.700 dB
ISO 7196:1995 Table 2 / A.3 G-weighting deviation vs +/-1 dB tolerance (fs=48 kHz) deviation within limits @ 1 Hz +0.047 dB in [-1.00, +1.00] dB headroom +0.953 dB
Levels & dosimetry: 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
IEC 61672-1:2013 (Leq) Leq of a 1 Pa 1 kHz sine 90.97 dB (+/-0.05 dB) 90.969 dB -0.001 dB
IEC 61252:1995 (LEX,8h) 8 h exposure to 90 dB(A) noise 90 dB (+/-0.05 dB) 90.008 dB 0.008 dB
ISO 1996-1:2016 3.6.4 Lden, constant 60 dB in day/evening/night 66.3952 dB (+/-0 dB) 66.3952 dB 0 dB
ISO 1996-2:2007 Annex C.5 Example 1 Tonal audibility ΔLta (Formula C.3), 4 kHz tone 13.7 dB (+/-0.05 dB) 13.66 dB -0.044 dB
ISO 1996-2:2007 Annex C.5 Example 1 Tonal adjustment Kt (Formulae C.4-C.6) 6 dB (+/-0 dB) 6 dB 0 dB
ISO 1996-2:2017 Annex G.2 Combined measurement uncertainty u = √(Σ(cj·uj)²) 2.18 dB (+/-0.01 dB) 2.18 dB -0.002 dB
Room acoustics: 100% (12/12)
Standard Quantity Expected (norm) Computed Δ Status
Sabine (W. C. Sabine, 1922) Reverberation time T = k·V/A (V=120 m³, S=158 m², α=0.2) 0.611825 s (+/-0.000001 s) 0.611825 s 0 s
Everest, Master Handbook of Acoustics 4th ed, Fig. 7-22 Sabine RT, worked Example 1 @ 1 kHz (untreated 23.3×16×10 ft room, SI) 3.39 s (+/-0.02 s) 3.402 s 0.012 s
Eyring (Norris-Eyring, 1930) Reverberation time T = k·V/(-S·ln(1-ᾱ)) (α=0.2) 0.548369 s (+/-0.000001 s) 0.548369 s 0 s
Arau-Puchades (Acustica 65, 1988, Formula 18) T (α=0.5/0.1/0.1 per wall pair, dims 8×5×3 m) 0.812147 s (+/-0.000001 s) 0.812147 s 0 s
Model identity (uniform absorption) Arau-Puchades ≡ Eyring when ᾱ is uniform 0.548369 s (= Eyring) 0.548369 s 0 s
Vorlander Auralization 2e, Eq. (11.38)-(11.39) Image-source direct-sound amplitude 1/(4πr) and delay r/c (r = 4 m) 0.0198944 (+/-0) 0.0198944 0
Kuttruff Room Acoustics 6e, Eq. (9.23) Audible shoebox image count up to order 10 (= 1560) 156 (+/-0) 156 0
Kuttruff Room Acoustics 6e, Eq. (4.6) Temporal reflection density dN/dt = 4πc³t²/V (t = 0.1 s, V = 120 m³) 42258.2 1/s (+/-0 1/s) 42258.2 1/s 0 1/s
Bies Engineering Noise Control 5e, Eq. (6.44) Room constant R = Sᾱ/(1-ᾱ) (S = 100 m², ᾱ = 0.2 → 25 m²) 25 m² (+/-0 m²) 25 m² 0 m²
Bies Engineering Noise Control 5e, Eq. (6.43) Critical distance rc: direct field = reverberant field (R = 25, Q = 1) 0.160000 (= reverberant term) 0.16 0
Kuttruff Room Acoustics 6e, Eq. (3.44) Schroeder frequency f_s = 2000√(T/V) (V = 200 m³, T = 1 s) 141.421 Hz (+/-0 Hz) 141.421 Hz 0 Hz
Bies Engineering Noise Control 5e, Eq. (6.43) Steady-state SPL Lp = Lw + 10lg(Q/4πr² + 4/R) (Lw=90, r=1, R=25, Q=1) 83.7945 dB (+/-0 dB) 83.7945 dB 0 dB
Psychoacoustics: 100% (12/12)
Standard Quantity Expected (norm) Computed Δ Status
ISO 532-1:2017 Annex B.2 Zwicker loudness N, stationary test signal 1 83.2957 sone (+/-0.1%) 83.2957 sone 0 sone
ISO 532-1:2017 Annex B.5 Time-varying loudness Nmax, technical signal 14 (aircraft, free field) 22.6399 sone (+/-0.1%) 22.6399 sone 0 sone
ISO 532-1:2017 Annex B.5 Time-varying loudness Nmax, technical signal 15 (vehicle interior, diffuse field) 9.6059 sone (+/-0.1%) 9.6059 sone 0 sone
DIN 45692:2009 Clause 6 Sharpness of the standard 1 kHz reference signal 1 acum (+/-0 acum) 1 acum 0 acum
DIN 45692:2009 Table A.2 Sharpness of critical-band noise at 2.5 kHz (2320-2700 Hz, 4 sone) 1.78 acum (+/-0.089 acum) 1.747 acum -0.033 acum
ISO 226:2023 Table B.1 Equal-loudness contour, 60 phon @ 100 Hz 78.5 dB SPL (+/-0.05 dB SPL) 78.504 dB SPL 0.004 dB SPL
ECMA-418-2:2025 Clause 5.1.8 HMS loudness of a 1 kHz / 40 dB tone (c_N=0.0211964) 1 sone_HMS (+/-0.03 sone_HMS) 0.9843 sone_HMS -0.016 sone_HMS
ECMA-418-2:2025 Clause 6.2.8 HMS tonality of a 1 kHz / 40 dB tone (c_T=2.8758615) 1 tu_HMS (+/-0.03 tu_HMS) 0.9998 tu_HMS 0 tu_HMS
ECMA-418-2:2025 Clause 7 HMS roughness of a 1 kHz / 70 Hz / m=1 / overall 60 dB tone (c_R=0.0180685) 1 asper (+/-0.01 asper) 0.9999 asper 0 asper
ISO 532-2:2017 Clause 3.17 / Annex B.1 Moore-Glasberg loudness of a 1 kHz / 40 dB tone (C=0.0617) 1 sone (+/-0.01 sone) 1.0001 sone 0 sone
ISO 532-3:2023 Annex C.1 Moore-Glasberg-Schlittenlacher peak LTL, steady 1 kHz / 40 dB 1 sone (+/-0.02 sone) 0.9996 sone 0 sone
ECMA-418-2:2025 Clause 9 HMS fluctuation strength of a 1 kHz / 4 Hz / m=1 / overall 60 dB tone (c_F=0.003840572) 1 vacil_HMS (+/-0.01 vacil_HMS) 0.9931 vacil_HMS -0.007 vacil_HMS
Speech transmission (IEC 60268-16): 100% (9/9)
Standard Quantity Expected (norm) Computed Δ Status
IEC 60268-16:2020 A.2.2 STI weighting-factor pair (500 Hz + 1 kHz bands) 0.398 (+/-0.001) 0.398 0
IEC 60268-16:2020 A.3.1.2 Uniform MTF m=0.5 maps to STI=0.5 0.5 (+/-0.01) 0.5 0
IEC 60268-16:2020 C.3.2 STIPA direct method, Formula (C.1) signal at m=0.2 0.3 (+/-0.01) 0.2992 -0.001
IEC 60268-16:2020 C.3.2 STIPA direct method, Formula (C.1) signal at m=0.5 0.5 (+/-0.01) 0.4998 0
IEC 60268-16:2020 C.3.2 STIPA direct method, Formula (C.1) signal at m=0.8 0.7 (+/-0.01) 0.7002 0
IEC 60268-16:2020 C.3.3 Indirect method: exponential decay RT60=1 s vs Schroeder MTF 0.5885 (+/-0.005) 0.5885 0
IEC 60268-16:2020 C.4.2 Filter-bank slope: +41 dB unmodulated tone one octave below 125 Hz m >= 0.5 (C.4.2 pass criterion) 0.9812 0.481
IEC 60268-16:2020 A.2.2 (audio path) Weighting factors: modulated 500 Hz + 1 kHz pair through stipa() 0.398 (+/-0.005) 0.398 0
IEC 60268-16:2020 A.3.1.2 (audio path) Filter-bank phase: half-octave edge carriers at TI=0.9 0.9 (+/-0.01) 0.8975 -0.003
Intensity & sound power: 100% (4/4)
Standard Quantity Expected (norm) Computed Δ Status
IEC 61043:1994 Clause 5 Plane-wave intensity I = p^2 / (rho c) 0.00238 W/m^2 (+/-1.5%) 0.00239 W/m^2 0 W/m^2
ISO 3744:2010 Eq. 18 Monopole hemisphere recovers LW (r=4 m) 95 dB (+/-0 dB) 95 dB 0 dB
ISO 9614-2:1996 Eq. 12 Intensity scan recovers LW of an enclosed source 90 dB (+/-0.000001 dB) 90 dB 0 dB
ISO 3741:2010 Eq. 20 Reverberation-room method inverts to a known LW 0 dB error 0 dB 0 dB
Room & building acoustics: 100% (50/50)
Standard Quantity Expected (norm) Computed Δ Status
ISO 3382-2:2008 5.3.3 T30 from a synthetic exponential decay (T=1.0 s) 1 s (+/-1%) 1 s 0 s
ISO 18233:2006 (swept-sine method) Sweep deconvolution recovers a known IIR response 0 dB in-band error (+/-0.1 dB) 0.0006 dB 0.001 dB
ISO 717-1 Annex C, Table C.1 Weighted sound reduction index Rw (C;Ctr) Rw 30 (C -2; Ctr -3) Rw 30 (C -2; Ctr -3) sum 31.8 dB
ISO 717-1:2020 Annex C, Table C.2 Enlarged range 50-5000 Hz: Rw (C; Ctr; C50-5000; Ctr,50-5000) Rw 30 (C -2; Ctr -3; C50-5000 -2; Ctr,50-5000 -4) Rw 30 (C -2; Ctr -3; C50-5000 -2; Ctr,50-5000 -4) exact
ISO 717-2 Annex C, Table C.1 Weighted impact sound pressure level Ln,w (CI) Ln,w 79 (CI -11; sum 28.0 dB) Ln,w 79 (CI -11; sum 28.0 dB) +0 dB
ISO 717-2 Annex C, Table C.1 (covered) Weighted impact level of the floor WITH covering Ln,w (CI) Ln,w 64 (CI -3; sum 30.0 dB) Ln,w 64 (CI -3; sum 30.0 dB) +0 dB
ISO 717-2 Annex C, Table C.2 Floor-covering improvement ΔLw and CI,Δ (Formulae (2)/(A.4); CI,Δ from the normative Table 4 floor, not the 2020 print's misprinted C.2 chain) ΔLw 15 dB; CI,Δ -9 dB (Table 4 reference floor) ΔLw 15 dB; CI,Δ -9 dB +0 dB
ISO 354:2003 Eq. 5/8 Sabine inversion recovers absorption area 9.212828 m^2 (+/-0 m^2) 9.212828 m^2 0 m^2
ISO 3382-3:2012 Clause 6.2 Open-plan spatial decay rate D2,S (-6 dB/doubling) 6 dB (+/-0 dB) 6 dB 0 dB
ISO 16283-3:2016 Clause 3.12 Facade R'45 isolates the -1.5 dB incidence correction (S=A) 38.5 dB (+/-0 dB) 38.5 dB 0 dB
ISO 10140-2:2010 Formula (2) Lab airborne R on the ISO 717-1 reference shape -> Rw = 54 Rw 54 dB Rw 54 dB +0 dB
ISO 10140-5:2010+A1 Annex B, Table B.1 Reference elements end-to-end: printed Rw (C; Ctr) of all three Rw(C;Ctr) = 53(-1;-5) / 52(-1;-5) / 33(-1;-2) 53(-1;-5) / 52(-1;-5) / 33(-1;-2) exact
ISO 10140-5:2010+A1 Annex C, Table C.1 Reference floors end-to-end: printed Ln,t,r,0,w (CI) of both Ln,t,r,0,w(CI) = 72(0) / 75(-3) 72(0) / 75(-3) exact
ISO 15186-1:2000 Formula (7) Intensity RI on the ISO 717-1 reference shape -> RI,w = 30 RI,w 30 dB (scalar anchor RI = 34 dB) RI,w 30 dB (RI = 34 dB) +0 dB
ISO 15186-1:2000 Annex B, Table B.1 Adaptation term Kc: all 18 printed rows; (B.1) reduces to (B.2) max abs(Kc - Table B.1) <= 0,05 dB (1 dp print) 0.046 dB (B.1 vs B.2: 4.33e-04 dB) 0.046 dB
ISO 10052:2021 Clause 3.6 Survey R' applies the V/7,5 minimum-area rule 26.197888 dB (+/-0 dB) 26.197888 dB 0 dB
ISO 10052:2021 Clause 3.16 Service-equipment LXY is the 3-position energy average 32.823329 dB (+/-0 dB) 32.823329 dB 0 dB
ISO 10052:2021 Table 4 Reverberation-index estimate (35 <= V < 60, type g) k = [4.5, 5.0, 5.5, 5.5, 5.5] dB k = [4.5, 5.0, 5.5, 5.5, 5.5] dB exact
ISO 717-2:2020 Table 4 / Clause 5.2 Reference-floor weighted level Ln,r,0,w and CI (ISO 16251-1 ΔLw anchor) Ln,r,0,w = 78 dB, CI = -11 dB Ln,r,0,w = 78 dB, CI = -11 dB exact
ISO 16251-1:2014 / ISO 717-2 Formula (2) Floor-covering ΔLw: zero improvement gives ΔLw = 0 ΔLw = 0 dB (ΔL = 0 -> Ln,r = Ln,r,0) ΔLw = 0 dB exact
ISO 10848-1:2006 Formula (14) Flanking Kij (simplified) matches closed form Kij = 1.9897 dB Kij = 1.9897 dB exact
ISO 10848-1:2006 Formula (12) Flanking equivalent absorption length aj at f_ref aj = 1.2661 m aj = 1.2661 m exact
ISO 10848-1:2006 Clause 7.3.1 Flanking total loss factor η = 2,2/(f·Ts) η = 0.0044 η = 0.0044 exact
EN 29052-1:1992 Formula 4 Apparent dynamic stiffness s't = 4π²·m't·fr² (m't=200 kg/m², fr=25 Hz) 4.934802 MN/m³ (+/-0.000001 MN/m³) 4.934802 MN/m³ 0 MN/m³
EN 29052-1:1992 clause 8.2 NOTE Enclosed-gas stiffness s'a·d = 111 MN·mm/m³ (p₀=0,1 MPa, ε=0,9) 5.55556 MN/m³ (+/-0.0001 MN/m³) 5.55556 MN/m³ 0 MN/m³
EN 29052-1:1992 Formula 2 Floating-floor natural frequency f0 = (1/2π)√(s'/m') (s'=10 MN/m³, m'=100 kg/m²) 50.32921 Hz (+/-0 Hz) 50.32921 Hz 0 Hz
ISO 7626-1:2011 Table 1 / 3.1.2 Closed-form SDOF driving-point mobility peak mag(Y(f0)) = 1/c (c=5 N·s/m) 0.2 m/(N·s) (+/-0.000001 m/(N·s)) 0.2 m/(N·s) 0 m/(N·s)
ISO 7626-1:2011 Table 1 / 3.1.2 Closed-form SDOF static receptance H(0) = 1/k (k=8000 N/m) 0.000125 m/N (+/-0.0001%) 0.000125 m/N 0 m/N
ISO 7626-1:2011 Table 1 FRF reciprocity: impedance × mobility = 1 (at 37 Hz) 1 (= Z·Y) 1 0
ISO 10846-2:2008 3.17 Transfer-stiffness level Lk = 20 lg( k /k0), k0 = 1 N/m ( k = 1 MN/m)
ISO 10846-3:2002 Formula (1) Indirect method k2,1 = -(2πf)²·m2·T (f=500 Hz, m2=10 kg, T=0,01) -986960.4 N/m (+/-0.1%) -986960.4 N/m 0 N/m
ISO 10846-1:2008 Table A.2 FRF relation k = jω·Z at 250 Hz ( k recovered from impedance) 1001249.2 N/m (+/-0.0001%) 1001249.2 N/m
ISO 7626-2:2015 7.5.2 Rigid-mass calibration: accelerance mag(A) = 1/m (m=10 kg) 0.1 1/kg (+/-0 1/kg) 0.1 1/kg 0 1/kg
ISO 7626-2:2015 7.5.2 Rigid-mass calibration: mobility mag(Y) = 1/(2πf·m) at 100 Hz (m=10 kg) 0.0001592 m/(N·s) (+/-0.001%) 0.0001592 m/(N·s) 0 m/(N·s)
ISO 7626-2:2015 Annex A Normalized random error ε = √((1−γ²)/(2nγ²)): γ²=0,8, n=75 → 4,08 % (< 5 %) 4.08 % (+/-0.01 %) 4.08 % 0.002 %
ISO 7626-1:2011 Table 1 Rigid 1 kg mass at ω = 1000 rad/s: mobility 1e-3, compliance 1e-6 (decades) 0.001 m/(N·s) (+/-1e-07%) 0.001 m/(N·s) 0 m/(N·s)
ISO 10846-3:2002 6.1 Inequality (2) Indirect-method validity limit mag(T) = 0,1 ↔ ΔL1,2 = 20 dB 20 dB (+/-0 dB) 20 dB 0 dB
ISO 10846-3:2002 6.1 Model bias at the validity limit: k_ind/k = 1,1 (0,83 dB ≤ 1 dB, 10 % ≤ 12 %) 1.1 (+/-1e-07%) 1.1 0
ISO 10846-1:2008 Equation (6) Delivered/blocking force F2/F2,b = 1/1,1 at mag(k2,2/kt) = 0,1 (within 10 %) 0.9091 (+/-0) 0.9091 0
ISO 10846-2:2008 / -3:2002 7.6 Linearity: ΔLk ≤ 1,5 dB for input spectra 10 dB apart (linear element: 0) ΔLk ≤ 1,5 dB (7.6 c) 0 dB 0 dB
ISO/TS 7849-1:2009 Formula (8) Calibration L_v from â = 9,81 m/s² at 100 Hz (standard's EXAMPLE) 106.9 dB (+/-0.1 dB) 106.9 dB -0.02 dB
ISO/TS 7849-2:2009 Formula (15) L_W from L_v via measured radiation factor = 10 lg(P/P0) (round-trip) 84.771 dB (+/-0 dB) 84.771 dB 0 dB
ISO/TS 7849-1:2009 Formula (12) Impedance term: L_W − L_v = 10 lg(411/400) at ε = 1, S = S0 0.1178 dB (+/-0 dB) 0.1178 dB 0 dB
EN 15657:2018 Formula (14) Reception-plate L_Ws = resonant-plate power P = ωη(mS)⟨v²⟩ (round-trip) 55.545 dB (+/-0 dB) 55.545 dB 0 dB
EN 15657:2018 Formula (13) Plate loss factor η = 2,2/(f·Ts) at 1 kHz, Ts = 0,3 s 0.0073 (+/-0) 0.0073 0
EN 15657:2018 Formulae (15)/(17) + EN 12354-5 Annex I.3 Source conversion chain reproduces Table I.8 (wall, installed) max abs(L_Ws,inst - Table I.8) <= 0,15 dB 0.055 dB 0.055 dB
ISO 9611:1996 eq. (9) Mean free velocity level (energy mean, v0 = 5e-8 m/s) 72.3017 dB (+/-0 dB) 72.3017 dB 0 dB
EN 12354-5:2009 Formula (19b/19c) Coupling term → force-source limit 10 lg(mag(Ys)/Re{Yi}) as mag(Ys) ≫ mag(Yi) 40 dB (+/-0.01 dB) 40.001 dB 0.001 dB
EN 12354-5:2009 Annex I.3, Table I.9 Flushing cistern: four paths + Formula (17) total -> 29 dB(A) max path/total dev <= 0.15 dB; total 29 dB(A) 0.055 dB; 29.3 dB(A) 0.055 dB
EN 12354-5:2009 Annex I.2, Table I.6a Whirlpool floor component: mobility correction + path 11 max abs(dev vs Table I.6a) <= 0,15 dB 0.1 dB 0.1 dB
Building prediction & uncertainty: 100% (15/15)
Standard Quantity Expected (norm) Computed Δ Status
EN 12354-1:2000 Annex H.3 Airborne prediction R'w (direct + 12 flanking paths) R'w 52 dB (13 paths) R'w 52 dB (13 paths, 52.17) +0.17 dB
EN 12354-1:2000 Annex H.3 (paths) All 12 printed flanking-path values Rij,w max abs(Rij,w - printed) <= 0,05 dB 0.042 dB 0.042 dB
EN 12354-1:2000 Formula (5b) / Annex H.3 DnT,w closure from R'w (both H.3 examples -> 54 dB) DnT,w 54 dB (printed 53,8/54,3) DnT,w 53.63 / 54.13 dB -0.17 dB vs printed
EN 12354-2:2000 Annex E.3 Impact prediction L'n,w = Ln,w,eq - dLw + K 45 dB (+/-0 dB) 45 dB 0 dB
EN 12354-2:2000 Formula (3) / Annex E.3 Standardized impact level L'nT,w (exact 0,032 V form -> 43 dB) L'nT,w 43 dB (exact 42,96; E.3 prints 42,8) L'nT,w 42.96 dB -0.001 dB
EN 12354-3:2000 Annex F Facade airborne prediction (R'tr,s,w / D2m,nT,w single numbers) R'tr,s,w 31 (Ctr -3); D2m,nT,w 33 dB R'tr,s,w 31 (Ctr -3); D2m,nT,w 33 dB 0
EN 12354-4:2000 Annex G / Formula (2) Radiated LW of a wall+door segment (side 1, low bands) LW 63/125 Hz [59.8, 61.2] dB (+/-0.1) LW [59.8, 61.2] dB 0.038 dB
EN 12354-4:2000 Annex E / Table G.9 Exterior level of all four Table G.9 reception cells Lp 36,6 / 28,5 / 44,6 / 37,3 dB (+/-0,05) Lp 36.6 / 28.5 / 44.6 / 37.3 dB 0.046 dB
ISO 12999-1:2020 Table 2 Airborne band uncertainty, situation A @ 1 kHz 1.8 dB (+/-0 dB) 1.8 dB 0 dB
ISO 12999-1:2020 Annex B, Table B.2 One-decimal single numbers Rw / Rw+C50-5000 / Rw+Ctr,50-5000 57.4 / 56.4 / 51.1 dB 57.4 / 56.4 / 51.1 dB +0.00 dB
ISO 12999-1:2020 Annex B, Formulae (B.2)/(B.6) Single-number uncertainties (uncorrelated 0,6/0,8; correlated u(Rw) 1,9) u_uncorr 0.6 / 0.8 dB; u_corr(Rw) 1.9 dB 0.60 / 0.79 dB; 1.90 dB -0.00 dB
ISO 12999-1:2020 Clause 8 / Table 8 Expanded uncertainty U = 1.96 u (95 % two-sided, Rw sit. A) 2.352 dB (+/-0 dB) 2.352 dB 0 dB
ISO 12999-2:2020 Table 4 / Formula (1) Absorption coefficient +/-U (k=2), reproducibility, 20 x 1/3-oct bands U(k=2) = [0.33, 0.26, 0.22, 0.17, 0.13, 0.11, 0.09, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.09, 0.09, 0.09, 0.1, 0.11, 0.13, 0.16] U(k=2) = [0.33, 0.26, 0.22, 0.17, 0.13, 0.11, 0.09, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.09, 0.09, 0.09, 0.1, 0.11, 0.13, 0.16] exact
ISO 12999-2:2020 Table 5 / Formula (4) Practical coefficient +/-U (k=2), reproducibility, 5 octave bands U(k=2) = [0.09, 0.08, 0.08, 0.08, 0.1] U(k=2) = [0.09, 0.08, 0.08, 0.08, 0.1] exact
ISO 12999-2:2020 Clause 7, Examples 1/2 Single-number U (k=2): alpha_w and DLalpha,NRD alpha_w +/-0.07, DLalpha +/-1.6 dB alpha_w +/-0.07, DLalpha +/-1.6 dB exact
Outdoor propagation & occupational exposure: 100% (10/10)
Standard Quantity Expected (norm) Computed Δ Status
ISO 9613-1:1993 Table 1 Air attenuation @ 10 degC, 70 %, 1 kHz 3.66 dB/km (+/-0.01 dB/km) 3.658 dB/km -0.002 dB/km
ISO 9613-1:1993 Table 1 Air attenuation @ 0 degC, 20 %, 2 kHz 34.6 dB/km (+/-0.1 dB/km) 34.64 dB/km 0.04 dB/km
ISO 9613-2:1996 Table 2 Atmospheric attenuation grid, 6 conditions x 8 octave bands, dB/km all 48 cells within half a printed digit worst residual 0.939 x tolerance 0.939 x
ISO 9613-2:1996 Eq. (7) Geometrical divergence Adiv = 20 lg(d/d0) + 11 at 100 m 51 dB (+/-0 dB) 51 dB 0 dB
ISO 9613-2:1996 Table 3 Ground b'(0) porous limit -> Agr(250 Hz) = 2(-1.5 + 10.1) 17.2 dB (+/-0 dB) 17.2 dB 0 dB
ISO 9613-2:1996 clause 7.4 Single-edge diffraction saturates at the 20 dB cap 20 dB (+/-0 dB) 20 dB 0 dB
ISO 9613-2:1996 clause 7.4 Double-edge diffraction saturates at the 25 dB cap 25 dB (+/-0 dB) 25 dB 0 dB
ISO 9612:2009 Annex D Task-based LEX,8h + U (welder day, case a) LEX,8h 84.3; U 2.7 dB LEX,8h 84.3; U 2.7 dB -0.01; +0.02 dB
ISO 9612:2009 Annex E Job-based LEX,8h + U (production line, 18 workers) LEX,8h 88.1; U 3.8 dB LEX,8h 88.2; U 3.8 dB +0.06; -0.03 dB
ISO 9612:2009 Annex F Full-day LEX,8h + U (forklift drivers) LEX,8h 90.1; U 3.4 dB LEX,8h 90.1; U 3.4 dB +0.02; +0.03 dB
Materials: absorption, airflow & impedance: 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
ISO 11654:1997 Annex A.1 Weighted absorption alpha_w (no indicator) 0.60 (class C, no indic.) 0.60 (class C, '') 0
ISO 11654:1997 Annex A.2 Weighted absorption alpha_w with M indicator 0.60(M) 0.60(M) 0
ISO 9053-2:2020 Annex A.3 Thermal boundary-layer thickness b 0.00183 m (+/-0.00001 m) 0.00183 m 0 m
ISO 9053-2:2020 Annex A.3 Effective ratio of specific heats kappa' 1.37 (+/-0.001) 1.37 0
ISO 10534-1:1996 Eqs (9)/(13)/(14) Absorption from standing-wave ratio s=3 alpha 0.75 (+/-0), |r| 0.5 alpha 0.75, |r| 0.5000 0
ISO 10534-2 Eq. (17) / Annex D Two-microphone round trip recovers a known reflection factor abs(r - (0.3-0.4j)) = 0 (identity, +/-1e-9) 0 0
Scattering & diffusion (ISO 17497): 100% (5/5)
Standard Quantity Expected (norm) Computed Δ Status
ISO 17497-1:2004 Eq (2) Reference speed of sound at 20 C 343.2 m/s (+/-0 m/s) 343.2 m/s 0 m/s
ISO 17497-1:2004 Eqs (1)/(4)/(5) Scattering coefficient (synthetic chain) 0.0931 (+/-0) 0.0931 0
ISO 17497-1:2004 Annex A.5 Expanded uncertainty of scattering coefficient 0.02971 (+/-0) 0.02971 0
ISO 17497-2:2012 Formula (5) Diffusion coefficient (autocorrelation) 0.7367 (+/-0) 0.7367 0
ISO 17497-2:2012 Formula (8) Zenith area factor (radians convention) 1.57105 (+/-0) 1.57105 0
In-situ road absorption (ISO 13472): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
ISO 13472-1:2002 Clause 4.2 Geometrical-spreading factor Kr 0.6667 (+/-0) 0.6667 0
ISO 13472-1:2002 Annex A Maximum-sampled-area radius 1.3425 m (+/-0 m) 1.3425 m 0 m
ISO 13472-2:2010 Clause 5.4.1 Spot-tube upper usable frequency f_u 1989.4 Hz (+/-0.1 Hz) 1989.4 Hz 0 Hz
Precision sound power (ISO 3745 / 9614-3): 100% (4/4)
Standard Quantity Expected (norm) Computed Δ Status
ISO 3745:2012 Clause 10.5 EXAMPLE Expanded uncertainty U (k=2) 4.123 dB (+/-0.001 dB) 4.123 dB 0 dB
ISO 3745:2012 Eq (11) K1 background floor (6 dB edge band) 1.2563 dB (+/-0.0001 dB) 1.2563 dB 0 dB
ISO 3745:2012 Eq (16) Meteorological C1 at 23 C reference -0.1282 dB (+/-0.0001 dB) -0.1282 dB 0 dB
ISO 9614-3:2002 Eqs (5)/(8)/(9) Uniform-intensity LW recovery 80 dB (+/-0 dB) 80 dB 0 dB
Human vibration (ISO 8041 / 2631 / 5349): 100% (15/15)
Standard Quantity Expected (norm) Computed Δ Status
ISO 8041-1:2017 Table B.8 Wk design-goal factor at 6,31 Hz 1.054 (+/-0.1%) 1.0544 0
ISO 8041-1:2017 Table B.9 Wm design-goal factor at 1,585 Hz 0.9342 (+/-0.1%) 0.9342 0
ISO 8041-1:2017 Table 1 Wh factor at the 500 rad/s reference 0.202 (+/-0.15%) 0.202 0
ISO 8041-1:2017 Table B.1 Wb design-goal factor at 6,31 Hz 1.054 (+/-0.1%) 1.0545 0
ISO 8041-1:2017 Table B.1 Wb design-goal factors at 1 / 100 Hz max rel dev ≤ 0,1 % 0.000267 0
ISO 8041-1:2017 Table 1 Wc factor at the 100 rad/s reference 0.5145 (+/-0.1%) 0.5145 0
ISO 8041-1:2017 Table 1 + Table B.3 Wd factors at the 100 rad/s reference and 1 Hz max rel dev ≤ 0,1 % 0.000162 0
ISO 8041-1:2017 Table B.4 We design-goal factor at 8 Hz 0.1263 (+/-0.1%) 0.1263 0
ISO 8041-1:2017 Table B.5 Wf design-goal factors at 0,1585 / 0,1 Hz max rel dev ≤ 0,1 % 0.000098 0
ISO 8041-1:2017 Table B.7 Wj design-goal factors at 6,31 / 8 Hz max rel dev ≤ 0,1 % 0.00001 0
ISO 8041-1:2017 Table 5 + Annex B All nine weightings inside the tolerance envelope (318 printed bands) 0 bands outside the Table 5 tolerances 0 0
ISO 5349-2:2001 Example E.2.1 Single-tool daily exposure A(8) 4.1 m/s^2 (+/-0.05 m/s^2) 4.14 m/s^2 0.037 m/s^2
ISO 5349-2:2001 Example E.3 Forestry three-task A(8) 3.6 m/s^2 (+/-0.05 m/s^2) 3.61 m/s^2 0.01 m/s^2
ISO 5349-1:2001 Eq. (C.1) VWF 10 % lifetime Dy at A(8)=7 4 yr (+/-0.1 yr) 4.04 yr 0.042 yr
Directive 2002/44/EC Art. 3 HAV/WBV action & limit values HAV 2.5/5.0, WBV 0.5/1.15 m/s^2 HAV 2.5/5.0, WBV 0.5/1.15 m/s^2 0
Speech intelligibility (ANSI S3.5-1997): 100% (7/7)
Standard Quantity Expected (norm) Computed Δ Status
ANSI S3.5-1997 Table 3 Band-importance function normalisation 1 (+/-0) 1 0
ANSI S3.5-1997 clause 5.4 Equivalent masking spectrum level at 200 Hz -1.665 (+/-0.001) -1.665 0
ANSI S3.5-1997 clause 5.6 Equivalent disturbance in quiet at 5000 Hz -23.6 dB (+/-0.01 dB) -23.6 dB 0 dB
ANSI S3.5-1997 clause 6 SII, noise 30 dB plus hearing loss 40 dB 0.2185 (+/-0.0001) 0.2185 0
R CRAN 'SII' Example C.2 One-third-octave method, independent oracle 0.851375 (+/-0.0001) 0.851375 0
ANSI S3.5-1997 clause 6 SII, standard speech in quiet, normal hearing 0.99582517 (+/-0.000001) 0.99582517 0
ANSI S3.5-1997 Table 3 Loud-effort speech spectrum level at 1 kHz 42.16 dB (+/-0 dB) 42.16 dB 0 dB
Objective intelligibility (STOI / ESTOI): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
Taal et al. 2011 (Eq. 6, degenerate) STOI of a signal against itself = 1 (perfect correlation) 1 (+/-0.000001) 1 0
Jensen & Taal 2016 (Eq. 8, degenerate) ESTOI of a signal against itself = 1 (perfect spectral correlation) 1 (+/-0.000001) 1 0
Taal et al. 2011 (monotonicity with SNR) STOI rises from -15 dB to +25 dB SNR speech-shaped noise STOI(+25 dB) - STOI(-15 dB) > 0.2 0.462 (0.389 -> 0.851) 0
Impulsive-sound prominence (NT ACOU 112): 100% (2/2)
Standard Quantity Expected (norm) Computed Δ Status
NT ACOU 112:2002 Formula 1 Predicted prominence, OR=1000 dB/s, LD=30 dB 11.9542 (+/-0.0001) 11.9542 0
NT ACOU 112:2002 Formula 2 Adjustment KI to LAeq at prominence P=10 9 dB (+/-0 dB) 9 dB 0 dB
Room noise (ANSI S12.2-2019): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
ANSI S12.2-2019 Table 1 NC-40 curve, tangency self-consistency 40 (+/-0) 40 0
ANSI S12.2-2019 Table D.1 RC-31 Mark II curve, 63 Hz level 51 (+/-0) 51 0
ANSI S12.2-2019 clause D.4 RC-35 curve, mid-frequency average LMF 35 (+/-0) 35 0
Hearing threshold (ISO 7029 / ISO 389-7): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
ISO 7029:2017 Table 1 Median threshold, male age 60 at 4 kHz 20.209 dB (+/-0.001 dB) 20.208 dB 0 dB
ISO 7029:2017 Table 2 Upper spread su, male age 60 at 1 kHz 10.153 dB (+/-0.001 dB) 10.153 dB 0 dB
ISO 389-7:2005 Table 1 Free-field reference threshold at 1 kHz 2.4 dB (+/-0 dB) 2.4 dB 0 dB
Measurement uncertainty (GUM / Supplement 1): 100% (7/7)
Standard Quantity Expected (norm) Computed Δ Status
ISO/IEC Guide 98-3-1 clause 9.2 Combined uncertainty, additive model 2 (+/-0) 2 0
ISO/IEC Guide 98-3 Table G.2 Coverage factor, p=0.99, v=16 2.92 (+/-0.005) 2.921 0.001
ISO/IEC Guide 98-3 Annex G.4 Welch-Satterthwaite effective dof 40 (+/-0) 40 0
ISO/IEC Guide 98-3 Annex H.1 End-gauge combined uncertainty uc, nm 31.71 nm (+/-0.01 nm) 31.71 nm 0.001 nm
ISO/IEC Guide 98-3 Annex H.1 End-gauge expanded uncertainty U99, nm 92.1 nm (+/-0.1 nm) 92.1 nm 0.04 nm
ISO/IEC Guide 98-3 Annex H.2 (Table H.3) Correlated V/I/phi budget: uc(R), ohm 0.071 ohm (+/-0.001 ohm) 0.071 ohm 0 ohm
ISO/IEC Guide 98-3-1 Table 3 (clause 9.2.3) Seeded Monte Carlo, rectangular sum: 95 % interval endpoint +/-3.88 (u = 2.0) +/-3.886 (u = 2.002) 0.006
Noise-induced hearing loss (ISO 1999): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
ISO 1999:2013 Table D.2 Median NIPTS, 4 kHz, 90 dB, 20 yr 13 dB (+/-0.5 dB) 12.9 dB -0.057 dB
ISO 1999:2013 Table D.2 Worst-10 % NIPTS, 4 kHz, 90 dB, 20 yr 18 dB (+/-0.5 dB) 17.8 dB -0.239 dB
ISO 1999:2013 Table D.4 Worst-10 % NIPTS, 3 kHz, 100 dB, 40 yr 60 dB (+/-0.5 dB) 59.8 dB -0.172 dB
Multiple-shock whole-body vibration (ISO 2631-5): 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
ISO 2631-5:2018 Formula 3 Daily acceleration dose, 5 x 40 m/s2 peaks 55.97 m/s2 (+/-0.01 m/s2) 55.97 m/s2 -0.002 m/s2
ISO 2631-5:2018 Formula C.3 Stress variable R, Annex C male example 1.22 (+/-0.01) 1.22 0
ISO 2631-5:2018 Formula C.5 Injury probability, Annex C male example 0.37 (+/-0.01) 0.37 -0.003
ISO 2631-5:2018 Annex C NOTE 5 Compressive stress Sd, female example 1.4 MPa (+/-0.01 MPa) 1.4 MPa -0.001 MPa
ISO 2631-5:2018 Annex C NOTE 5 Stress variable R, female example 0.97 (+/-0.01) 0.96 -0.008
ISO 2631-5:2018 Formula 1 vs Annex D Table D.1 Seat-to-spine transfer vs the 256 Hz digital filter (0,5-80 Hz) max abs(Formula 1 - filter) ≤ 0,04 0.001 0.001
Sound absorption in enclosed spaces (EN 12354-6): 100% (2/2)
Standard Quantity Expected (norm) Computed Δ Status
EN 12354-6:2003 Formula 1 Equivalent absorption area, Annex E bare room 2.26 m2 (+/-0.01 m2) 2.26 m2 0.003 m2
EN 12354-6:2003 Formula 5 Reverberation time, Annex E bare room 2.1 s (+/-0.1 s) 2.1 s 0.003 s
Prominent discrete tones (ECMA-418-1): 100% (2/2)
Standard Quantity Expected (norm) Computed Δ Status
ECMA-418-1:2024 Clause 10 Formula (2) Critical band at 1 kHz (f1,c / f2,c / dfc) dfc 162.2 Hz (+/-0.05 Hz); edges 922.2-1084.4 Hz dfc 162.22 Hz; edges 922.2-1084.4 Hz 0.017 Hz
ECMA-418-1:2024 Clause 11.6 Formula (14) Proximity spacing dfprox at 150 / 850 Hz 23 Hz @ 150 Hz; 63.8 Hz @ 850 Hz (+/-0.5 Hz) 23.0 Hz; 63.8 Hz +0.004; +0.044 Hz
Tonal audibility (ISO/PAS 20065): 100% (11/11)
Standard Quantity Expected (norm) Computed Δ Status
ISO/PAS 20065:2016 Formulae (12)-(14) Audibility at 137.3 Hz, Annex E spectrum 1 4.99 dB (+/-0.05 dB) 5.01 dB 0.022 dB
ISO/PAS 20065:2016 Formula (13) Masking index av at 137.3 / 592.2 Hz -2.02 dB @ 137.3 Hz; -2.4 dB @ 592.2 Hz (+/-0.005 dB) -2.017 dB; -2.400 dB +0.003; +0.000 dB
ISO/PAS 20065:2016 Formula (20) Mean audibility of the five spectra, Annex E 6.96 dB (+/-0.05 dB) 6.98 dB 0.018 dB
ISO/PAS 20065:2016 Formula (6) Mean narrow-band level LS from spectrum, Table E.1 49.22 dB (+/-0.02 dB) 49.22 dB -0.001 dB
ISO/PAS 20065:2016 Clause 6 Extended uncertainty U of the 137.3 Hz tone, Table E.2 2.79 dB (+/-0.02 dB) 2.8 dB 0.006 dB
ISO/PAS 20065:2016 Formulae (28)-(29) Extended uncertainty of the mean audibility, Annex E Step 4 1.38 dB (+/-0.01 dB) 1.38 dB -0.003 dB
ISO/PAS 20065:2016 Formula (8) Tone level LT from spectrum, Table E.1 67.96 dB (+/-0.02 dB) 67.96 dB -0.005 dB
ISO/PAS 20065:2016 Clause 5.3.8 Tone detection over the spectrum, Table E.1 tones at [118.4, 137.3, 158.8] Hz tones at [118.4, 137.3, 158.8] Hz exact
ISO/PAS 20065:2016 Clause 5.3.8 Step 3 Same-band FG combination inside analyze_spectrum, Table E.2 row 2 FG 72.15 dB (+/-0.02 dB) 72.15 dB -0.002 dB
ISO/PAS 20065:2016 Formula (17) Multi-tone FG combination, Table E.1 72.15 dB (+/-0.02 dB) 72.15 dB -0.002 dB
ISO/PAS 20065:2016 Formulae (18)/(19) Two-tone separation fD (DIN 45681 Annex J), 137.3 / 212 Hz fD(137.3)=24.09, fD(212)=21.0 Hz; Annex E pair combined fD(137.3)=24.09, fD(212)=21.00 Hz; Annex E pair combined exact
Psychoacoustic annoyance & fluctuation strength (Fastl & Zwicker): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
Fastl & Zwicker Eqs (16.2)-(16.4) Psychoacoustic annoyance, worked (N5,S,F,R) tuple 37.0478 (+/-0.001) 37.0477 0
Fastl & Zwicker Eq (10.2) Fluctuation strength of AM broadband noise (60 dB, m=1, 4 Hz) 3.6943 vacil (+/-0.001 vacil) 3.6943 vacil 0 vacil
Fastl & Zwicker Ch. 10 / Osses et al. 2016 Fluctuation-strength calibration: 1 kHz / 60 dB / m=1 / 4 Hz AM tone 1 vacil (+/-0.05 vacil) 1 vacil 0 vacil
Electroacoustics: distortion & frequency response: 100% (14/14)
Standard Quantity Expected (norm) Computed Δ Status
IEC 60268-3:2013 (14.12.3.2) THD (rel. total RMS, the R convention the clause defines) 0.112853 (+/-0.0001) 0.112853 0
Closed-form harmonic synthesis (THD_F convention) THD (rel. fundamental, the widespread datasheet convention) 0.113578 (+/-0.0001) 0.113578 0
IEC 60268-3:2013 (14.12.5) 2nd-order harmonic distortion d2 (rel. total) 0.099361 (+/-0.0001) 0.099361 0
IEC 60268-3:2013 (14.12.7.2 g) Modulation distortion d_m,2 (arithmetic sideband sum over U_2,f2) 0.16 (+/-0.0001) 0.16 0
IEC 60268-3:2013 (14.12.7.2 h) Modulation distortion d_m,3 (arithmetic sideband sum over U_2,f2) 0.08 (+/-0.0001) 0.08 0
IEC 60268-3:2013 (14.12.8.1 a) Difference-frequency distortion d_d,2 (over U_2,ref = 2 U_2,f2) 0.03 (+/-0.0001) 0.03 0
IEC 60268-3:2013 (14.12.8.1 b) Difference-frequency distortion d_d,3 (arithmetic product sum) 0.04 (+/-0.0001) 0.04 0
IEC 60268-3:2013 (14.12.10) Total difference-frequency distortion (8 kHz / 11.95 kHz tones) 0.03605551 (+/-0.0001) 0.03605551 0
ITU-R BS.468-4 Table 1 Weighting network response at the 6.3 kHz peak (14.12.11 network) 12.2 dB (+/-0 dB) 12.2 dB 0 dB
IEC 60268-3:2013 (14.12.9) DIM of the 15 kHz / 3.15 kHz signal (Table 2, 9 products) 0.168819 (+/-0.0001) 0.168819 0
Bendat & Piersol, Random Data 4e H1 recovers a known first-order IIR gain at 1 kHz 0.8954 (+/-2%) 0.8954 0
Bendat & Piersol, Random Data 4e Ordinary coherence = 1 for a noiseless LTI path 1 (+/-0.001) 1 0
AES17-2015 (6.4.2 / 5.2.7) Idle channel noise, 1 kHz -20 dBFS tone (CCIR-RMS -5.63 dB offset) -25.63 dB (+/-0.01 dB) -25.63 dB 0 dB
AES17-2015 (6.4.1) Dynamic range, full-scale reference over a -40 dBFS residual at 2 kHz 40 dB (+/-0.6 dB) 40.41 dB 0.414 dB
Calibrated spectral analysis (Bendat & Piersol): 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
Bendat & Piersol, Random Data 4e Eq. (5.67) White-noise autospectral density = sigma^2/(fs/2) 0.000977 (+/-3%) 0.000982 0
Bendat & Piersol, Random Data 4e Eq. (8.158) PSD random error = 1/sqrt(nd) (Monte Carlo, 100 seeded records) 0.1768 (+/-6%) 0.1764 0
Bendat & Piersol, Random Data 4e Eq. (8.163) 95% chi-square confidence interval coverage (Monte Carlo) 0.95 (+/-0.025) 0.94 -0.01
Bendat & Piersol, Random Data 4e Eqs. (9.55)/(6.39) Coherent output spectrum of a known-SNR path: gamma^2 = SNR/(1+SNR) 0.7191 (+/-0.03) 0.7255 0.006
Closed-form power-law slope (10*lg(2) dB/octave per unit exponent) Pink-noise PSD slope over 20 Hz - 20 kHz, dB/octave -3.0103 dB/oct (+/-0.05 dB/oct) -3.0116 dB/oct -0.001 dB/oct
Constant-power 1/n-octave kernel (closed form) 1/3-octave smoothed line level = Pdf/(f0(2^(1/6)-2^(-1/6))) 0.021592 (+/-1e-07%) 0.021592 0
Correlation, time delay and envelope (B&P / Knapp & Carter): 100% (7/7)
Standard Quantity Expected (norm) Computed Δ Status
Bendat & Piersol, Random Data 4e Eq. (5.21) Cross-correlation peak of a 16-sample pure delay, samples 16 (+/-0.001) 16 0
Knapp & Carter 1976, Table I (PHAT) + sub-sample interpolation GCC-PHAT estimate of an exact 12.25-sample fractional delay, samples 12.25 (+/-0.005) 12.2483 -0.002
Bendat & Piersol, Random Data 4e Eq. (5.101) Cross-spectrum phase-slope estimate of the same fractional delay 12.25 (+/-0.001) 12.2498 0
Bendat & Piersol, Random Data 4e Eq. (8.120) BLWN autocorrelation coefficient at 3 samples vs sin(2piBt)/(2piBt) -0.1559 (+/-0.02) -0.1666 -0.011
Bendat & Piersol, Random Data 4e Example 8.5 Random error of the correlation peak: B=100 Hz, T=5 s, M/S=N/S=10 0.35 (+/-0.001) 0.3493 -0.001
Bendat & Piersol, Random Data 4e Table 13.1 Hilbert transform of cos recovers sin: max interior error 0 (+/-0) 0 0
Bendat & Piersol, Random Data 4e Eq. (13.27) Envelope of an AM waveform recovers 1 + mcos(2pifm*t) exactly 0 (+/-0) 0 0
Underwater acoustics (ISO 18405/17208/18406): 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
ISO 18405:2017 / ISO 18406 Formula 7 Sound pressure level of a synthetic tone, dB re 1 µPa 123.0103 (+/-0.0001) 123.0103 0
ISO 18405:2017 / ISO 18406 Formulae 3-4 Sound exposure level of a 2 s tone, dB re 1 µPa²·s 120 (+/-0.001) 120 0
ISO 18406:2017 (6.4.2.1.3) Peak sound pressure level of a known waveform, dB re 1 µPa 129.5424 (+/-0.0001) 129.5424 0
ISO 17208-1:2016 Radiated noise level from RMS pressure and distance, dB re 1 µPa·m 46.0206 (+/-0.0001) 46.0206 0
ISO 17208-2:2019 (Formula 3) Lloyd's-mirror surface correction ΔL at a known k·d_s -3.5211 (+/-0.0001) -3.5211 0
ISO 18406:2017 (Formulae 8-9) Cumulative SEL of N identical strikes = SEL_ss + 10·lg(N) 196.9897 (+/-0) 196.9897 0
Underwater sound propagation (transmission loss): 100% (15/15)
Standard Quantity Expected (norm) Computed Δ Status
Mackenzie (1981) nine-term equation Speed of sound at 25 °C, 35 ‰, 1000 m (canonical check value), m/s 1550.744 m/s (+/-0.01 m/s) 1550.744 m/s 0 m/s
UNESCO/Chen-Millero vs Mackenzie Sound-speed agreement at 10 °C, 35 ‰, 1000 m (cross-model), m/s 1506.264 m/s (+/-1 m/s) 1506.524 m/s 0.261 m/s
Del Grosso (1974) vs Mackenzie Sound-speed agreement at 10 °C, 35 ‰, 1000 m (cross-model), m/s 1506.264 m/s (+/-1 m/s) 1506.313 m/s 0.049 m/s
Spherical spreading 20·lg(R) Geometrical spreading loss at R = 1000 m, dB 60 dB (+/-0 dB) 60 dB 0 dB
Thorp (1967) absorption Volume absorption α at 10 kHz (cold deep water), dB/km 1.1498 dB/km (+/-0 dB/km) 1.1498 dB/km 0 dB/km
Ainslie-McColm (1998) vs Francois-Garrison (1982) Absorption agreement at 10 kHz, 10 °C, 35 ‰, 0 m, pH 8, dB/km 0.9626 dB/km (+/-0.0963 dB/km) 0.9866 dB/km 0.024 dB/km
Francois-Garrison (1982) Part II Table IV Absorption α at 100 kHz, 10 °C, 35 ‰, 0 m, pH 8 (printed value), dB/km 33.6 dB/km (+/-0.05 dB/km) 33.63 dB/km 0.03 dB/km
Del Grosso refit (Wong-Zhu 1995 Table IV) c(t90 = 20 °C, S = 35, P = 500 bar) vs the printed check table, m/s 1603.679 m/s (+/-0.001 m/s) 1603.679 m/s 0 m/s
Wales-Heitmeyer (2002) ensemble spectrum Merchant-ship source PSD at 100 Hz (printed equation), dB re 1 µPa²/Hz 158.45 dB (+/-0.001 dB) 158.45 dB 0 dB
Passive sonar equation (Urick/Etter) Figure of merit SL − (NL − DI) − DT, dB 85 dB (+/-0 dB) 85 dB 0 dB
Seabed reflection (Rayleigh, normal incidence) Bottom loss at 90° grazing, sand ρ=1900 c=1650 over water, dB 9.0506 dB (+/-0 dB) 9.0506 dB 0 dB
Wenz wind noise (rule of fives) Wind spectrum level at 1 kHz, 5 kn (canonical anchor), dB re 1 µPa²/Hz 51.0206 dB (+/-0.0001 dB) 51.0206 dB 0 dB
Mellen thermal noise Thermal spectrum level at 50 kHz, 16.85 °C (physical), dB re 1 µPa²/Hz 19.3426 dB (+/-0 dB) 19.3426 dB 0 dB
JOMOPANS-ECHO ship source level Bulker V=13.5 kn L=211 m band level at 1 kHz (File S1 oracle), dB re 1 µPa m 161.394 dB (+/-0.01 dB) 161.394 dB 0 dB
UNESCO sound speed (EOS-80 canonical value) SVEL(S = 40, T68 = 40 °C, P = 1000 bar) vs Fofonoff & Millard 1983, m/s 1731.995 m/s (+/-0.02 m/s) 1732.004 m/s 0.009 m/s
Underwater numerical propagation (modes / rays / PE): 100% (4/4)
Standard Quantity Expected (norm) Computed Δ Status
Normal modes vs ideal waveguide Fundamental horizontal wavenumber kr1 at 20 Hz, 100 m (analytic), rad/m 0.077662 rad/m (+/-0.0001 rad/m) 0.077662 rad/m 0 rad/m
Normal modes vs image-source oracle Absolute TL at 1 km in the ideal waveguide (converged image sum), dB 48.238 dB (+/-0.02 dB) 48.239 dB 0.001 dB
Ray tracing vs linear gradient Turning depth of a 10° ray, c = 1500 + 0.05z (circular arc), m 462.8 m (+/-1 m) 462.8 m 0 m
Parabolic equation vs free field PE transmission loss at 2 km, homogeneous medium (spherical spreading), dB 66.021 dB (+/-0.1 dB) 66.021 dB 0 dB
Aircraft noise (ICAO Annex 16 / IEC 61265): 100% (14/14)
Standard Quantity Expected (norm) Computed Δ Status
ECAC Doc 29 noise fraction (half path) Finite-segment correction ΔF for a perpendicular foot at the segment start, dB -3.0103 dB (+/-0.001 dB) -3.0103 dB 0 dB
ECAC Doc 29 single-event chain SEL of a long level flyover vs the infinite-path limit LE∞ + ΔI − Λ, dB 83.444 dB (+/-0.01 dB) 83.444 dB 0 dB
ECAC Doc 29 impedance adjustment (standard atmosphere) Acoustic-impedance adjustment of NPD data at 15 °C / 101.325 kPa (Eq. 4-6/4-7), dB 0.074 dB (+/-0.0005 dB) 0.0741 dB 0 dB
ECAC Doc 29 reference workbook (segment Λ) Lateral attenuation of a climbing segment vs the ECAC Vol 3 Part 1 workbook, dB 6.3769 dB (+/-0.01 dB) 6.3769 dB 0 dB
ECAC Doc 29 start-of-roll directivity (jet) ΔSOR behind a takeoff ground-roll segment vs the Vol 3 Part 1 workbook, dB 0.3196 dB (+/-0.01 dB) 0.3196 dB 0 dB
ECAC Doc 29 start-of-roll directivity (turboprop) ΔSOR behind a takeoff ground-roll segment (turboprop, Eq. 4-24b), dB 1.0943 dB (+/-0.01 dB) 1.0944 dB 0 dB
ECAC Doc 29 workbook event assembly (JETFDS/R03, behind SOR) Energy sum of the reference per-segment SELs vs the B-1 event total, dB 74.73 dB (+/-0.01 dB) 74.733 dB 0.003 dB
SAE ARP 5534 band-attenuation continuity SAE-Method δ_B at the 150 dB branch split (Eq. 7 vs Eq. 8), dB 123.95 dB (+/-0.01 dB) 123.953 dB 0.003 dB
ECAC Doc 29 NPD interpolation Log-linear NPD level at the log-midpoint distance (Eq. 4-4), dB 97 dB (+/-0 dB) 97 dB 0 dB
SAE ARP 5534 pure-tone coefficient (ISO 9613-1) Mid-band α at 1 kHz, 25 °C, 70 % RH, 101.325 kPa, dB/m 0.006186 dB/m (+/-0 dB/m) 0.006186 dB/m 0 dB/m
ICAO Annex 16 Vol. I App. 2 Table A2-3 Perceived noisiness at SPL(b), 1 kHz band, in noys 1 (+/-0) 1 0
ICAO Doc 9501 ETM Vol. I Table 3-7 Tone correction of the turbofan example, dB 2 (+/-0) 2 0
ICAO Doc 9501 ETM Vol. I Table 4-4 Integrated-method reference EPNL, EPNdB 92.619 EPNdB (+/-0.01 EPNdB) 92.619 EPNdB 0 EPNdB
IEC 61265:1995 Table 1 Directional-response tolerance at 4 kHz / 90°, dB 2 dB (+/-0 dB) 2 dB 0 dB
Rotorcraft noise (ECAC Doc 32 / NORAH2): 100% (12/12)
Standard Quantity Expected (norm) Computed Δ Status
ECAC Doc 32 atmospheric attenuation (Table 4) ΔLa over a 1 km excess path at 1 kHz vs the NORAH2 guidance Table 4, dB 6.3 dB (+/-0.2 dB) 6.186 dB -0.114 dB
ECAC Doc 32 spherical spreading ΔLs at ten times the 60 m hemisphere reference distance (Eq. 24), dB -20 dB (+/-0 dB) -20 dB 0 dB
ECAC Doc 32 ground effect (rigid limit) ΔLg over a rigid surface at grazing incidence tends to +6 dB (Eq. 29), dB 6 dB (+/-1 dB) 6 dB 0.002 dB
ECAC Doc 32 propagation chain (NORAH2 prototype) LA of a single-hemisphere emission vs the NORAH2 prototype single-event history (R22 approach, 223.66 m slant), dB(A) 55.87 dB(A) (+/-0.1 dB(A)) 55.886 dB(A) 0.016 dB(A)
ECAC Doc 32 flight-condition interpolation (NORAH2 Eq. 8) Distance-scaled triangle blend of three uniform hemispheres, hand-checked, dB 97.0367 dB (+/-0.001 dB) 97.0364 dB 0 dB
ECAC Doc 32 flight-path kinematics (Eq. 17) Airspeed of a straight climbing track, 40 m/s ground speed at a 5° path angle, m/s 40.15279 m/s (+/-0.0001 m/s) 40.15279 m/s 0 m/s
ECAC Doc 32 retarded time (Eq. 22) Recorded-time delay at 100 m slant distance, r/c with c = 346.1 m/s, s 0.288934 s (+/-0.00001 s) 0.288934 s 0 s
ECAC Doc 32 single event (Eq. 27) SEL − LASmax of a constant-speed level flyover, 10·lg(π·d/V) closed form, dB 7.982 dB (+/-0.1 dB) 7.942 dB -0.04 dB
NORAH2 guidance mean ground plane (Eq. 36-40) Intercept of the plane fitted to a symmetric 20 m roofline, hand-checked, m 10 m (+/-0 m) 10 m 0 m
NORAH2 guidance mean flow resistivity (Eq. 41) Log-average of equal 1e4 and 1e6 Pa·s/m2 halves, hand-checked, Pa·s/m2 100000 Pa·s/m² (+/-0 Pa·s/m²) 100000 Pa·s/m² 0 Pa·s/m²
NORAH2 guidance diffraction at grazing (Eq. 42) Pure diffraction with the edge on the line of sight, 10·lg 3, dB 4.7712 dB (+/-0.0001 dB) 4.7712 dB 0 dB
NORAH2 guidance screening path difference (§A.4.5) Rubber-band delta over a 40 m hill, hand-checked geometry, m 4.2848 m (+/-0 m) 4.2848 m 0 m
Wind-turbine noise (IEC 61400-11): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
IEC 61400-11:2012 Formula 30 Critical bandwidth about a 500 Hz tone, Hz 117.255 Hz (+/-0 Hz) 117.255 Hz 0 Hz
IEC 61400-11:2012 Formula 26 Apparent sound power level of a single band, dB re 1 pW 148.5139 dB (+/-0.0001 dB) 148.5139 dB 0 dB
IEC 61400-11:2012 Formulae 31-34 Tonal audibility of a synthetic clean tone, dB 16.38 dB (+/-0.06 dB) 16.38 dB -0.001 dB
Porous & multilayer absorbers (Mechel / Bies / Cox & D'Antonio): 100% (10/10)
Standard Quantity Expected (norm) Computed Δ Status
Bies 5e App. D Table D.1 / Mechel 2e G.11 (2) Delany-Bazley normalised Zc at X = 0.1, real part 1.3241 (+/-0) 1.3241 0
Bies 5e App. D Table D.1 / Mechel 2e G.11 (2) Delany-Bazley normalised Zc at X = 0.1, imaginary part -0.4694 (+/-0) -0.4694 0
Miki 1990 Eqs. (30)-(34) Miki normalised wavenumber at f/sigma = 0.1, real part 1.4523 (+/-0) 1.4523 0
Johnson et al. 1987 / Cox & D'Antonio 3e Eq. (6.19) JCA static viscous limit j w rho_e -> sigma, Pa s/m2 20000 Pa s/m2 (+/-0.01%) 20000 Pa s/m2 0 Pa s/m2
Mechel 2e Sect. D.3 Eq. (1) Hard-backed layer: TMM vs -j Zc cot(kd), max rel deviation 0 (+/-0) 0 0
Lossless-layer limit (Mechel 2e Sect. D.3-D.4) Air cavity over a rigid wall at lambda/4: alpha 0 (+/-0) 0 0
Mechel 2e Sect. D.5 Maximum statistical absorption of a locally reacting plane 0.951 (+/-0.001) 0.951 0
Cox & D'Antonio 3e Eq. (7.9) Membrane resonance 60/sqrt(m d), m = 5 kg/m2, d = 5 cm, Hz 120 Hz (+/-2%) 119.85 Hz -0.15 Hz
Maa 1998 Fig. 5 / Cox & D'Antonio 3e Fig. 7.28 Microperforated panel (d=t=0.2 mm, b=2.5 mm, D=6 cm): peak alpha 0.95 (+/-0.05) 0.956 0.006
Maa 1998 Eqs. (5a)/(10) MPP peak absorption vs 4r/(1+r)^2 with Maa's printed resistance 4r/(1+r)^2 = 0.949 0.956 0.007
Program loudness (ITU-R BS.1770 / EBU R 128): 100% (8/8)
Standard Quantity Expected (norm) Computed Δ Status
ITU-R BS.1770-5 Annex 1 997 Hz sine at 0 dB FS on the left channel, LKFS -3.01 LKFS (+/-0.01 LKFS) -3.01 LKFS 0 LKFS
EBU Tech 3341:2023 Table 1 case 1 Integrated loudness of the -23 dBFS stereo sine, LUFS -23 LUFS (+/-0.1 LUFS) -22.99 LUFS 0.007 LUFS
EBU Tech 3341:2023 Table 1 case 5 Gated integrated loudness of the -26/-20/-26 dBFS steps, LUFS -23 LUFS (+/-0.1 LUFS) -22.98 LUFS 0.021 LUFS
EBU Tech 3341:2023 Table 1 case 6 Integrated loudness of the 5.0-channel sine (Table 3 weights), LUFS -23 LUFS (+/-0.1 LUFS) -23.02 LUFS -0.016 LUFS
EBU Tech 3341:2023 Table 1 case 15 True-peak level of the fs/4 sine at 0.5 FFS, dBTP -6 dBTP (+0.2/-0.4 dB) -6.02 dBTP -0.015 dBTP
EBU Tech 3341:2023 Table 1 case 19 True-peak level of the fs/4 sine at 1.41 FFS, dBTP 3 dBTP (+0.2/-0.4 dB) 3 dBTP 0.001 dBTP
EBU Tech 3342:2023 Table 1 case 1 Loudness range of the -20/-30 dBFS tone steps, LU 10 LU (+/-1 LU) 10 LU 0 LU
EBU Tech 3342:2023 Table 1 case 3 Loudness range of the -40/-20 dBFS tone steps, LU 20 LU (+/-1 LU) 20 LU 0 LU
2D FDTD wave simulation (Attenborough & Van Renterghem 2021, Ch. 4): 100% (2/2)
Standard Quantity Expected (norm) Computed Δ Status
Rigid rectangular box eigenfrequency Mode (1,1) of a 1.0 x 0.7 m rigid box, f = (c/2)*sqrt(1/lx^2 + 1/ly^2), Hz 299.06 Hz (+/-1.5 Hz) 298.91 Hz -0.153 Hz
Free-field pulse arrival delay Probe-to-probe delay of a pulse over 0.6 m of air, (r2 - r1)/c, ms 1.749 ms (+/-0.05 ms) 1.756 ms 0.007 ms
Swept-sine distortion & phase utilities (Farina / Novak): 100% (7/7)
Standard Quantity Expected (norm) Computed Δ Status
Farina 2000 / Novak et al. 2015 (Chebyshev identity) 3rd-harmonic response H3 magnitude of a cubic polynomial, re a3/4 0.05 (+/-0.0005) 0.05001 0
Novak et al. 2015, JAES 63(10), Eqs. 18/49 Synchronized-sweep phase of H3 (Chebyshev: -sin(3wt)), rad 3.1416 rad (+/-0.005 rad) 3.1411 rad 0 rad
Farina 2000, AES 108th Conv. (THD from one sweep) THD(1 kHz) of the polynomial vs sqrt((a2/2)^2+(a3/4)^2)/(1+3a3/4) 0.06149 (+/-0.001) 0.06159 0
Farina 2000 (distortion rejected from the linear IR) THD floor of a purely linear path (gain 0.5), max over 100-2000 Hz 0 (+/-0.001) 0.00033 0
Bendat & Piersol, Random Data 4e Sec. 13.1.4 (Hilbert relation) Min-phase reconstruction of a strictly min-phase biquad, max err, rad 0 rad (+/-0 rad) 0 rad 0 rad
First-order allpass closed form (1-a^2)/(1+2a cos w+a^2) Group delay of the a = 0.5 allpass at w = pi/2, samples 0.6 (+/-0.00001) 0.6 0
All-pass decomposition of a pure latency (B&P Sec. 13.1.4) Excess group delay of a biquad delayed 7.25 samples, samples 7.25 (+/-0) 7.25 0
Spherical ground & barriers (Attenborough / Salomons / Bies): 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
Attenborough 2e Eq. (2.40c) (spherical Q, hard-ground limit) abs(Q) as Z grows large (Rp -> 1 so (1 - Rp) -> 0 and Q -> 1) 1 (+/-0.000001) 1 0
Salomons 2001 Sec. 3.4 (two-ray field over a rigid ground) dL enhancement at small path difference (constructive, +6 dB) 6.0206 dB (+/-0.1 dB) 6.0205 dB 0 dB
Salomons 2001 Eq. (D.59) (plane-wave Rp, grazing incidence) Re(Rp) at grazing (hs, hr -> 0, cos(theta) -> 0 so Rp -> -1) -1 (+/-0.001) -1 0
Bies 5e Eq. (5.138) (Kurze-Anderson, N -> 0) Barrier attenuation at the shadow boundary N = 0 5 dB (+/-0 dB) 5 dB 0 dB
Bies 5e Eq. (5.138) (Kurze-Anderson, large-N slope) Delta(N=10) - Delta(N=1) vs the 10 lg(10) = 10 dB decade growth 10 dB (+/-0.5 dB) 9.8845 dB -0.116 dB
Attenborough 2e Eqs. (9.19)-(9.20) (rigid half-plane, shadow boundary) Exact thin-screen insertion loss at grazing (field halved, 6 dB) 6.0206 dB (+/-0.6 dB) 5.7932 dB -0.227 dB
Panel & aperture sound insulation (Bies / Hopkins / Cremer): 100% (11/11)
Standard Quantity Expected (norm) Computed Δ Status
Bies 5e Eq. 7.40 (mass law) 6 dB per octave (500 -> 1000 Hz) 6.0206 dB (+/-0.01 dB) 6.02 dB -0.001 dB
Bies 5e Eq. 7.40 (mass law) 6 dB per doubling of mass 6.0206 dB (+/-0.01 dB) 6.02 dB -0.001 dB
Bies 5e Eq. 7.42 (field incidence) One-third-octave correction 5.5 dB 5.5 dB (+/-0.001 dB) 5.5 dB 0 dB
Hopkins Eq. 2.201 / Bies Eq. 7.3 Coincidence frequency, 6 mm glass 2079 Hz (+/-3%) 2107.3639 Hz 28.364 Hz
Cremer Table 5.1 Thin-plate point impedance Z = 8 sqrt(B' m'') 2529.8221 N.s/m (+/-0 N.s/m) 2529.8221 N.s/m 0 N.s/m
Cremer Table 5.1 Infinite-beam mobility phase -45 deg -45 deg (+/-0 deg) -45 deg 0 deg
Hopkins Eq. 2.229 (Leppington/Maidanik) Radiation efficiency at f = 2 fc 1.4142 (+/-0) 1.4142 0
Bies Eq. 7.62 / Hopkins Eq. 4.73 Mass-air-mass resonance f0, empty cavity 76.9484 Hz (+/-0.5%) 76.8521 Hz -0.096 Hz
Bies Eq. 7.64 (double wall) Below f0 = mass law of the combined mass 11.6144 dB (+/-0 dB) 11.6144 dB 0 dB
Hopkins Eq. 4.92 (composite) 1 % open area caps R at 10 lg(S/Sa) 20 dB (+/-0.05 dB) 19.9996 dB 0 dB
Hopkins Eq. 4.99/4.101 (Gomperts slit) Transmission maximum at first resonance 1544.9615 Hz (+/-15 Hz) 1542.9615 Hz -2 Hz
Atmospheric refraction (Salomons rays / GFPE): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
Salomons Sec. 4.4 (ray turning height, linear profile) Turning height of a 10 deg ray vs Rc(1 - cos theta0) (circular arc), m 26.457 m (+/-0.1 m) 26.457 m 0 m
Salomons Eq. (3.4) (GFPE vs spherical-wave ground effect, homogeneous) PE relative level at 500 m over grassland vs Weyl-Van der Pol, dB -13.919 dB (+/-0.5 dB) -13.842 dB 0.077 dB
Salomons Eq. (3.4) (GFPE hard ground vs two-ray, homogeneous) PE relative level at 500 m over a rigid ground vs the coherent two-ray, dB 5.997 dB (+/-0.6 dB) 5.593 dB -0.405 dB
Electroacoustics: 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
Beranek & Mellow 2e Eq. (13.117) Piston resistance R1(x) = 1 - 2 J1(x)/x at x = 2ka = 2 0.423275 (+/-0.00001) 0.423275 0
Beranek & Mellow 2e Eq. (13.118) Piston reactance X1(x) = 2 H1(x)/x at x = 2ka = 2 0.646764 (+/-0.00001) 0.646764 0
Beranek & Mellow 2e Eq. (13.117) (low-frequency limit) R1 -> (ka)^2/2 as ka -> 0 (x = 0.02, ka = 0.01) 0.00005 (+/-0.01%) 0.00005 0
Beranek & Mellow 2e Eq. (4.151) Radiation mass M = 8 rho a^3 / 3 (a = 0.1 m, rho = 1.206) 0.003216 kg (+/-0 kg) 0.003216 kg 0 kg
Beranek & Mellow 2e Eq. (13.102), Table 14.1 First directivity null at ka sin(theta) = 3.8317 (first zero of J1) 0 (+/-0.000001) 0 0
Beranek & Mellow 2e §4.19 (half-space baffle) Directivity index DI -> 10 lg 2 = 3.01 dB as ka -> 0 3.0103 dB (+/-0.001 dB) 3.0103 dB 0 dB
Industrial noise control: 100% (9/9)
Standard Quantity Expected (norm) Computed Δ Status
Bies 5e Eq. (8.111) Expansion-chamber peak TL = 10 lg[1 + (1/4)(m - 1/m)^2], m = 4 at kL = pi/2 6.5472 dB (+/-0 dB) 6.5472 dB 0 dB
Bies 5e Eq. (8.111) Expansion-chamber trough TL = 0 at kL = pi (chamber transparent) 0 dB (+/-0 dB) 0 dB 0 dB
Bies 5e Eq. (8.44) / Example 8.1 Quarter-wave tube tuning f = c/(4 l_e), l_e = 1.516 m -> 56.6 Hz 56.6 Hz (+/-0.1 Hz) 56.6 Hz 0.003 Hz
Bies 5e Eq. (8.46) Helmholtz resonance f0 = (c/2pi) sqrt(S/(l_e V)) (S=1e-4, l_e=0.02, V=1e-3) 122.067 Hz (+/-0 Hz) 122.067 Hz 0 Hz
Bies 5e Eq. (8.73) Side-branch TL = 20 lg abs(1 + rho c/(2 Sd Zb)) (QWT branch, closed form) 0.1638 dB (+/-0 dB) 0.1638 dB 0 dB
Bies 5e Eqs. (8.141)/(8.148) (four-pole insertion loss) Insertion loss = transmission loss for the anechoic reference Zs=Zr=rho c/S 6.2498 dB (= TL) 6.2498 dB 0 dB
Bies 5e Eq. (8.275) (Wells' plenum method) Plenum TL = -10 lg[S_out(cos0/pi r^2 + (1-a)/(Sw a))] (S_out=.1,r=1,Sw=20,a=.2) 12.8541 dB (+/-0 dB) 12.8541 dB 0 dB
Bies 5e Table 8.14 (ASHRAE end reflection, flush) Duct end reflection D = 200 mm at 125 Hz = 10 dB (table node) 10 dB (+/-0 dB) 10 dB 0 dB
Bies 5e Eqs. (7.103), (7.111) (enclosure, fully absorbing limit) Enclosure correction C -> 10 lg 0.3 = -5.23 dB as alpha_i -> 1 -5.2288 dB (+/-0.001 dB) -5.2288 dB 0 dB

Tests & coverage — 24360 tests, 0 failures (✅ all green)
Python Version Tests Failures Coverage Status
macos-latest-3.13 4060 0 96.0% ✅ Passed
macos-latest-3.14 4060 0 96.0% ✅ Passed
ubuntu-latest-3.13 4060 0 96.0% ✅ Passed
ubuntu-latest-3.14 4060 0 96.0% ✅ Passed
windows-latest-3.13 4060 0 96.0% ✅ Passed
windows-latest-3.14 4060 0 96.0% ✅ Passed

Conformance harness: scripts/conformance_report.py · full CI artifacts

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Actionable comments posted: 6

🤖 Prompt for all review comments with AI agents
Verify each finding against current code. Fix only still-valid issues, skip the
rest with a brief reason, keep changes minimal, and validate.

Inline comments:
In `@docs/noise-control.md`:
- Line 23: Add the `text` language hint to the fenced matrix/formula code blocks
in docs/noise-control.md, including the blocks at the referenced locations,
while preserving their contents unchanged.

In `@scripts/conformance_report.py`:
- Around line 5727-5731: Escape both absolute-value pipe characters in the “Bies
5e Eq. (8.73)” description registered by _NOISE_CONTROL, using &`#124`; or \|, and
update the generated entry in docs/CONFORMANCE.md at line 715 to match.

In `@src/phonometry/_plot/noise_control.py`:
- Line 44: Update all three plotting functions, including the call using
result.transmission_loss and the corresponding calls in plot_hvac_spectrum and
plot_enclosure, so default styling values for lw, marker, and ms are merged into
kwargs before calling Axes.plot rather than passed alongside **kwargs. Preserve
these defaults while allowing caller-supplied kwargs to override them without
duplicate-keyword errors.
- Around line 48-52: Update the resonance plotting loop in the result.resonances
block to track whether an in-range resonance line has already been drawn, rather
than using the array index i. Assign the "Resonance" label to the first
ax.axvline that passes the f-range check, including when earlier resonances are
skipped.

In `@src/phonometry/noise_control/enclosures.py`:
- Around line 8-20: Reformat the equations in the module docstring near the
enclosure noise-control documentation so they use non-indented double-backtick
literals instead of 4-space indented blocks. Preserve the equation text and
surrounding explanatory content, ensuring the generated API Markdown no longer
interprets the formulas as indented code blocks.

In `@src/phonometry/noise_control/silencers.py`:
- Around line 140-155: Update cascade() to validate that every matrix has the
same leading frequency-axis size as matrices[0] before performing any np.matmul
operations; raise a clear ValueError on mismatch, while preserving the existing
multiplication behavior for matching grids.
🪄 Autofix (Beta)

Fix all unresolved CodeRabbit comments on this PR:

  • Push a commit to this branch (recommended)
  • Create a new PR with the fixes

ℹ️ Review info
⚙️ Run configuration

Configuration used: Organization UI

Review profile: ASSERTIVE

Plan: Pro

Run ID: 3315983b-950b-494f-96cb-51d1e6cd0c06

📥 Commits

Reviewing files that changed from the base of the PR and between 6d39a09 and ee68d4f.

⛔ Files ignored due to path filters (5)
  • .github/images/silencer_expansion_chamber.svg is excluded by !**/*.svg
  • .github/images/silencer_expansion_chamber_dark.svg is excluded by !**/*.svg
  • .github/images/silencer_expansion_chamber_es.svg is excluded by !**/*.svg
  • .github/images/silencer_expansion_chamber_es_dark.svg is excluded by !**/*.svg
  • site/src/generated/api-sidebar.mjs is excluded by !**/generated/**
📒 Files selected for processing (34)
  • CHANGELOG.md
  • docs/CONFORMANCE.md
  • docs/README.md
  • docs/api-reference.md
  • docs/electroacoustics.md
  • docs/noise-control.md
  • scripts/api_taxonomy.py
  • scripts/conformance_report.py
  • scripts/generate_graphs.py
  • site/astro.config.mjs
  • site/src/content/docs/es/guides/electroacoustics.mdx
  • site/src/content/docs/es/guides/noise-control.mdx
  • site/src/content/docs/guides/electroacoustics.mdx
  • site/src/content/docs/guides/noise-control.mdx
  • site/src/content/docs/reference/api/electroacoustics/piston.md
  • site/src/content/docs/reference/api/index.md
  • site/src/content/docs/reference/api/noise_control/enclosures.md
  • site/src/content/docs/reference/api/noise_control/hvac.md
  • site/src/content/docs/reference/api/noise_control/silencers.md
  • src/phonometry/__init__.py
  • src/phonometry/_plot/electroacoustics.py
  • src/phonometry/_plot/noise_control.py
  • src/phonometry/electroacoustics/__init__.py
  • src/phonometry/electroacoustics/piston.py
  • src/phonometry/noise_control/__init__.py
  • src/phonometry/noise_control/enclosures.py
  • src/phonometry/noise_control/hvac.py
  • src/phonometry/noise_control/silencers.py
  • tests/electroacoustics/test_piston.py
  • tests/noise_control/test_enclosures.py
  • tests/noise_control/test_fdtd_crosscheck.py
  • tests/noise_control/test_hvac.py
  • tests/noise_control/test_silencers.py
  • tests/test_package_architecture.py

Comment thread docs/noise-control.md Outdated
Comment thread scripts/conformance_report.py
Comment thread src/phonometry/_plot/noise_control.py Outdated
Comment thread src/phonometry/_plot/noise_control.py Outdated
Comment thread src/phonometry/noise_control/enclosures.py
Comment thread src/phonometry/noise_control/silencers.py

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Caution

Some comments are outside the diff and can’t be posted inline due to platform limitations.

⚠️ Outside diff range comments (1)
docs/noise-control.md (1)

71-74: 🎯 Functional Correctness | 🟡 Minor | ⚡ Quick win

Disambiguate the resonance formulas.

The quarter-wave expression c / 4 l_e can be read as (c / 4) * l_e, not c / (4 l_e). Use explicit grouping for both formulas:

Suggested clarification
-A Helmholtz resonator (`helmholtz_resonator`) and a closed **quarter-wave
-tube** (`quarter_wave_resonator`) each short the duct at their tuning
-frequency, `f_0 = (c / 2 pi) sqrt(S_neck / (l_e V))` (Bies Eq. (8.46)) and
-`f = c / 4 l_e` (Eq. (8.44)), giving a sharp transmission-loss spike there.
+A Helmholtz resonator (`helmholtz_resonator`) and a closed **quarter-wave
+tube** (`quarter_wave_resonator`) each short the duct at their tuning
+frequency, `f_0 = c / (2 pi) sqrt(S_neck / (l_e V))` (Bies Eq. (8.46)) and
+`f = c / (4 l_e)` (Eq. (8.44)), giving a sharp transmission-loss spike there.
🤖 Prompt for AI Agents
Verify each finding against current code. Fix only still-valid issues, skip the
rest with a brief reason, keep changes minimal, and validate.

In `@docs/noise-control.md` around lines 71 - 74, Update the resonance formulas in
the documentation paragraph to use explicit denominator grouping, especially the
quarter-wave expression as c / (4 l_e), and apply equivalent grouping to the
Helmholtz formula so both equations are unambiguous. Preserve the surrounding
descriptions and references.
🤖 Prompt for all review comments with AI agents
Verify each finding against current code. Fix only still-valid issues, skip the
rest with a brief reason, keep changes minimal, and validate.

Outside diff comments:
In `@docs/noise-control.md`:
- Around line 71-74: Update the resonance formulas in the documentation
paragraph to use explicit denominator grouping, especially the quarter-wave
expression as c / (4 l_e), and apply equivalent grouping to the Helmholtz
formula so both equations are unambiguous. Preserve the surrounding descriptions
and references.

ℹ️ Review info
⚙️ Run configuration

Configuration used: Organization UI

Review profile: ASSERTIVE

Plan: Pro

Run ID: 0b4ff04b-e798-46aa-b026-a68f7b7b1eaa

📥 Commits

Reviewing files that changed from the base of the PR and between ee68d4f and ede9056.

📒 Files selected for processing (8)
  • docs/CONFORMANCE.md
  • docs/noise-control.md
  • scripts/conformance_report.py
  • src/phonometry/_plot/noise_control.py
  • src/phonometry/electroacoustics/piston.py
  • src/phonometry/noise_control/enclosures.py
  • src/phonometry/noise_control/silencers.py
  • tests/noise_control/test_fdtd_crosscheck.py

@jmrplens
jmrplens force-pushed the feat/noise-control-silencers branch from ede9056 to cb25905 Compare July 19, 2026 17:24
jmrplens added 5 commits July 19, 2026 19:36
Add the canonical rigid circular piston radiator (Beranek & Mellow 2e,
sections 4.19 and 13.7): the radiation impedance from the piston resistance
R1 = 1 - 2 J1(2ka)/2ka and reactance X1 = 2 H1(2ka)/2ka, the low-frequency
radiation mass 8 rho a^3 / 3, the far-field directivity 2 J1(ka sin t)/(ka sin t)
and the directivity index. radiating_piston returns a frozen RadiatingPistonResult
with .plot(); piston_resistance, piston_reactance and piston_directivity are
exposed as building blocks. Documented in the electroacoustics guide.
New phonometry.noise_control domain (Bies, Hansen & Howard 5e; Munjal):

- Reactive silencers by the four-pole transmission-matrix method: expansion
  chamber (matches the closed form 10 lg[1 + (1/4)(m - 1/m)^2 sin^2 kL]
  exactly), Helmholtz and quarter-wave side-branch resonators, and
  extended-tube chambers, with transmission and insertion loss for
  configurable source/radiation impedances. The four-pole primitives
  (duct_matrix, shunt_matrix, cascade, transmission_loss, insertion_loss,
  helmholtz_impedance, quarter_wave_impedance) are exposed for composition.
- HVAC duct methods: end reflection (ASHRAE Table 8.14), bend insertion loss
  (Table 8.11), plenum transmission loss (Wells' method) and flow-generated
  noise of straight ducts and mitred bends (VDI 2081).
- Machine-enclosure insertion loss IL = R - C, where the panel R is supplied
  by the caller (array or callable) and the interior correction reuses the
  room constant of phonometry.room.

Validated against the closed forms, digitised table nodes and an independent
2D FDTD cross-check of a single expansion chamber. Documented with a guide in
both languages and a concept figure of the expansion-chamber TL.
Re-export the piston and high-level noise-control functions at the top level,
add the noise_control API-reference section and the piston module to the
taxonomy, and register 13 additive numerical conformance checks (piston
resistance/reactance/mass/directivity and the silencer, plenum, end-reflection
and enclosure closed forms). Regenerate the conformance report, the API
reference pages/sidebar and the quick-reference table, and note the additions
in the changelog.
…w-noise constant

Adversarial review and a source re-check turned up two numerical errors:

- insertion_loss returned the reciprocal of the correct ratio, so a real
  silencer reported a negative insertion loss. Use
  IL = 20 lg|(T11 Zr + T12 + Zs Zr T21 + Zs T22)/(Zs + Zr)|, which is 0 for a
  through connection and equals the transmission loss for the anechoic
  reference Zs = rho c/S_in, Zr = rho c/S_out. Added a test pinning IL = TL for
  that reference (the previous identity-only test could not see the sign) and a
  conformance check.
- flow_noise_straight_duct dropped the -2 constant of Bies Eq. (8.251)
  (VDI 2081-1); added it and pinned the numeric value.

Also harden shunt_matrix against the divide-by-zero at an exact lossless
resonance, and correct the flow_noise_bend docstring: the radiated power grows
as U^6/U^8 (dipole/quadrupole) while only the stream-power efficiency grows as
U^3/U^5 (the formula itself already matched Bies Eqs. (8.252)/(8.254)).
…dings

Sonar:
- S1244 (piston): replace exact float == 0 tests with finite-masking at the
  removable 0/0 singularities of R1, X1 and the directivity (physics and all
  oracles unchanged).
- S3776 (enclosures): split enclosure_insertion_loss into _resolve_frequencies
  and _resolve_panel_r helpers with identical semantics.
- S5863 (FDTD cross-check test): compare two independently computed runs
  instead of a self-comparison, keeping the determinism check meaningful.

Review bots (verified against Bies / Beranek & Mellow before applying):
- Vectorise the piston directivity-index quadrature over frequency (bit-identical
  results, confirmed by the byte-stable conformance report).
- Validate that a silencer chain shares one frequency grid (cascade) and that an
  extended tube's inlet+outlet extensions do not exceed the chamber length.
- Reject a multi-dimensional interior absorption in enclosures.
- Use kwargs.setdefault for the plot line styles so a caller-supplied lw/marker/ms
  no longer raises, and keep the resonance legend label when the first resonance
  is out of range.
- Rephrase the side-branch conformance description with abs(...) so the pipes no
  longer break the Markdown table, and add a text language hint to the formula
  code blocks of the noise-control doc.

Rejected: converting the enclosures docstring equation blocks to inline literals
(the indented-equation-block style is the library-wide docstring convention,
used by ~120 modules; changing one would be inconsistent).
@jmrplens
jmrplens force-pushed the feat/noise-control-silencers branch from cb25905 to 82b8402 Compare July 19, 2026 17:40
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@jmrplens
jmrplens merged commit 9239e51 into main Jul 19, 2026
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@jmrplens
jmrplens deleted the feat/noise-control-silencers branch July 19, 2026 17:53
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