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Check the example report fiches the way the figures are checked - #471

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jmrplens merged 12 commits into
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report-fiches-drift
Aug 1, 2026
Merged

Check the example report fiches the way the figures are checked#471
jmrplens merged 12 commits into
mainfrom
report-fiches-drift

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@jmrplens

@jmrplens jmrplens commented Aug 1, 2026

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What and why

.github/reports had gone stale and nothing said so. The conformance report and the generated API reference each have a CI job asserting they match the code; the fiches never did, so two of them had been publishing an old rendering since PR #422 without anyone noticing.

They were stale for a reason worth naming: two merged commits changed how shaded regions are filled, and the fiches were never regenerated. iso1999_nipts still carried #ffbb78 at 50 percent with the PDF transparency operators that #428 deleted when _fractile_band moved to theme_fill, and iso1996_tone_audibility still carried the #eaf0f8 literal that same commit removed. ebu_r128_loudness and the two iec61260_filter fiches carried the corridor fill that #461 migrated. Every printed value, verdict and margin was already correct: the extracted text is identical before and after in all five, so this was stale presentation, not a wrong answer. Incidentally #461 said the filter fiche "comes out the same" when rendered before and after, and it does not.

iec61043_intensity_example was registered by the generator but its render was never committed, and nothing embedded it either, so the only report kind in the library without a rendered example was the one the intensity guide walks through step by step. It is committed now and embedded in the guide, in both languages and in the docs/ mirror.

The new job runs make reports and then scripts/check_reports.py, which compares each fiche on what it says and on what it looks like: the extracted PDF text exactly, and the committed preview within the same two-criteria pixel tolerance the figures use. A byte comparison would not do, for the same reason the figures job does not use one: the embedded plot is vector geometry and a last-bit coordinate difference rewrites the page stream for no visible reason. The script documents what the tolerance measurement actually showed, including where the noise bound and the real changes overlap and why the thresholds stay where they are anyway. Shared helpers moved to scripts/generated_assets.py so the two checks do not carry a copy of each other.

Validation

The check was verified in both directions. Green on the committed tree, twice, and make reports reproduces all 134 files byte for byte. Failing: reverting _fractile_band to its pre-#428 fill is caught at 29535 pixels; one character changed in a printed field is caught by both criteria; an added fiche and a removed one are each named. Run against the branch before the fix, it found all six defects unprompted. tests/test_check_reports.py drives both sides of every criterion, and tests/test_generate_reports.py now asserts every registered fiche has a committed render, which would have caught the missing one at the moment it was forgotten.

Checklist

Ran locally, same as CI:

  • ruff check ., mypy src scripts (275 files), bandit -r src
  • pytest -q: 7817 passed, 23 skipped
  • make conformance: 533/533, no drift
  • scripts/check_reports.py and scripts/check_figures.py: both green

Always:

  • Documentation updated in English and Spanish, kept in step
  • CHANGELOG entry under [Unreleased]

Review in cubic

Summary by CodeRabbit

  • New Features

    • Added an IEC 61043 intensity verification report and preview to the documentation.
    • Added Spanish documentation support for the new report preview.
  • Improvements

    • Added automated validation for missing, outdated, or inconsistent report PDFs and previews.
    • Improved reliability and consistency when generating report and figure assets.
    • Refreshed example report previews with corrected visual output.
  • Documentation

    • Updated report-generation guidance and changelog details.
    • Added links to the new report PDF and preview.

Five committed fiches no longer matched the code that writes them, and one
had never been committed at all. Nothing in CI looked: the conformance
report, the generated API reference, the evidence pages and the documentation
figures each have a staleness gate, and .github/reports had none, so a fiche
could sit a release behind for weeks with nobody the wiser.

iso1999_nipts and iso1996_tone_audibility still carried their shaded regions
as they were drawn before fills started being derived from the page they sit
on: the fractile band as the old 50 % composite #ffddbb rather than the
#ffe7d2 wash, and the decisive tone's critical band as the hard-coded #eaf0f8
rather than #c8deed. The printed values and the verdicts were already right,
so nothing there could be misread, but the two fiches the documentation
offers as examples of what the library prints were showing a paler band than
the library prints. ebu_r128_loudness and the two iec61260_filter fiches had
the same kind of drift a shade smaller. All five are regenerated.

iec61043_intensity was registered in the generator and documented in the
intensity guide, and its PDF and preview were never committed. The example is
a good one, matching the worked class verification the guide already walks
through, so it is generated here and embedded in the guide in both languages
like every other worked example.

The gate itself is scripts/check_reports.py, run by a new Example report
fiches up to date job. A byte diff is not an option, for the reason it was
abandoned for the figures: every fiche embeds its plot as vector geometry,
and GitHub's heterogeneous runners compute a few of those coordinates a last
bit apart, which rewrites the page for no visible reason. Each fiche is
compared instead on what it says and on what it looks like: the extracted
text exactly, page by page, and the committed preview within the same
two-criteria pixel tolerance the figures use.

The tolerance was measured, not assumed. matplotlib writes SVG coordinates
through %f, so one unit in the last emitted decimal is the largest text
change a last-bit difference can make; re-rendering five fiches with every
plotted coordinate moved by that much, in a random direction, moved at most 8
pixels past the level threshold and the whole-page RMS by 0.074. The two
stale fiches moved 28710 and 27629 pixels, and the subtler restyled fills
moved the RMS to 0.79 and 1.33. The thresholds sit between the two
populations, at 64 pixels and an RMS of 0.5: about an order of magnitude
clear of the noise, and a factor of two under the smallest real change. They
are tighter than the figures' on purpose, since a fiche preview is a flat
document page rasterized by a pinned binary rasterizer rather than a plot
raster, and the figures' looser bound would have let the restyled fills
through.

Around it: requirements-reports.txt pins the svglib/reportlab/pypdfium2 half
of the chain the way requirements-figures.txt pins the matplotlib half, make
reports clears the directory first so a fiche that is no longer produced is
actually removed, and the generator pins the numerical thread pools like the
figure generator so a runner with a different core count cannot reorder a
sum into the rendered page. The staleness helpers the two checks share move
to scripts/generated_assets.py. A unit test also asserts every registered
fiche has a committed render, which fails in the same second as the commit
that forgets one and needs no regeneration to do it.
The guide embeds it on the site in both languages; docs/intensity.md is the
copy GitHub renders with no build step, and every other guide with a fiche
carries the same preview there.
Three places still described the committed previews as unchecked. The module
docstring, the Makefile and the workflow comment were brought into line with
the new job; the generator's own preview writer, the Astro component that
embeds the preview and the labeler's file lists were not.

The labeler entry matters on its own: scripts/generated_assets.py is what the
figures and the fiches now share, so a change to it belongs to both groups and
was landing in neither.
The calibration note generalised from five fiches to all 67. Measured
across the whole set, the upper-bound displacement pushes five of them
past the thresholds, all plots whose bar edges land on a pixel boundary,
and one character of a printed field moves 53 to 102 pixels rather than
the 89 quoted, so most single-character edits are caught by the RMS
alone. The thresholds stay: the bound is not what a real machine does,
raising it would stop catching the restyled fills, and the exact text
comparison covers every printed value regardless.
Copilot AI review requested due to automatic review settings August 1, 2026 15:31

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@github-actions github-actions Bot added documentation Improvements or additions to documentation figures Generated plots, diagrams and animations reports Accredited-format .report() fiches and their rendering site Documentation website i18n English and Spanish translations ci Workflows, linting and developer tooling area: core Shared internals and cross-cutting code every domain depends on labels Aug 1, 2026
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Reviewer's Guide

Adds a tolerance-aware CI staleness gate for generated report fiches, refactors shared raster comparison helpers, tightens figure/raster tolerance configuration, regenerates and embeds the missing/updated fiches, and adds tests to ensure both the checker and fiche generation stay in sync.

Sequence diagram for the new example report fiches CI staleness check

sequenceDiagram
    actor Dev
    participant GitHubCI as GitHubActions
    participant Make as make_reports
    participant Gen as scripts_generate_reports_py
    participant Check as scripts_check_reports_py
    participant Git as git_HEAD

    Dev->>GitHubCI: push / open PR
    GitHubCI->>Make: run `make reports`
    Make->>Gen: python scripts/generate_reports.py
    Gen-->>Make: regenerate .github_reports PDFs/WebPs
    GitHubCI->>Check: python scripts/check_reports.py
    Check->>Git: committed_bytes(path)
    Check->>Git: tracked_files(REPORT_DIR)
    Check->>Check: pdf_problem(old_pdf, new_pdf)
    Check->>Check: raster_problem(old_webp, new_webp, RASTER_TOL)
    alt any fiche differs beyond tolerance or is added/removed
        Check-->>GitHubCI: exit 1 (reports stale)
        GitHubCI-->>Dev: job "Example report fiches up to date" fails
    else all fiches match within tolerance
        Check-->>GitHubCI: exit 0
        GitHubCI-->>Dev: job succeeds
    end
Loading

File-Level Changes

Change Details Files
Introduce tolerance-aware staleness checking for .github/reports and wire it into CI and the Makefile.
  • Add scripts/check_reports.py to compare regenerated fiches against committed PDFs/WebPs using text extraction and raster tolerance instead of byte diffs.
  • Define fiche-specific raster tolerance thresholds and PDF text comparison helpers, including detection of added/removed/generated files.
  • Integrate the reports staleness check as a dedicated GitHub Actions job using pinned rendering dependencies.
  • Update the Makefile reports target to clear old renders before regeneration and to run with the same numeric/threading environment as figures.
scripts/check_reports.py
.github/workflows/python-app.yml
Makefile
Factor out shared ‘generated asset’ helpers for figures and reports and update the figures checker to use them.
  • Create scripts/generated_assets.py with RasterTolerance dataclass, committed_bytes, tracked_files, and raster_problem helpers shared by figure and report checks.
  • Refactor scripts/check_figures.py to import and use RasterTolerance, committed_bytes, raster_problem, and tracked_files from the shared module.
  • Adjust figure raster tolerance configuration to use the new RasterTolerance structure and simplify comments/docstrings accordingly.
  • Update labeler configuration so changes to the shared helper affect both figures and reports labels.
scripts/generated_assets.py
scripts/check_figures.py
.github/labeler.yml
Ensure report generation is deterministic across machines and documented as being guarded by the new staleness gate.
  • Pin numerical thread-pool environment variables at the top of scripts/generate_reports.py to force single-threaded deterministic floating-point reductions.
  • Update generator docstrings/comments to describe CI tolerance-based comparison rather than manual regeneration, and clarify the role of previews and the reports job.
  • Keep preview generation commentary in sync with the new tolerance-aware checking behavior.
scripts/generate_reports.py
Add tests that exercise the report staleness gate and ensure every registered fiche has committed artifacts.
  • Introduce tests/test_check_reports.py to validate raster tolerance behavior (noise vs real edits) and PDF text comparison behavior (unchanged vs changed vs corrupt fiches).
  • Extend tests/test_generate_reports.py with a test that asserts every registered fiche has both a committed PDF and preview file in .github/reports.
tests/test_check_reports.py
tests/test_generate_reports.py
Regenerate and embed the missing and stale example fiches and document the new staleness behavior.
  • Update documentation in English and Spanish guides to embed the newly committed iec61043_intensity_example fiche using the ReportPreview component and markdown mirror.
  • Clarify in ReportPreview component docs that previews are now checked via tolerance-aware CI rather than purely manual regeneration.
  • Add requirements-reports.txt to pin the report rendering stack used by CI.
  • Document the new reports staleness gate and the regeneration of stale fiches in CHANGELOG entries under Changed and Fixed.
  • Ensure .github/reports contents include the newly generated intensity example fiche and refreshed examples (implicit via regeneration).
site/src/content/docs/es/guides/intensity.mdx
site/src/content/docs/guides/intensity.mdx
docs/intensity.md
site/src/components/ReportPreview.astro
CHANGELOG.md
requirements-reports.txt
.github/reports/iec61043_intensity_example.pdf
.github/reports/iec61043_intensity_example.webp

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Review Change Stack

No actionable comments were generated in the recent review. 🎉

ℹ️ Recent review info
⚙️ Run configuration

Configuration used: Organization UI

Review profile: ASSERTIVE

Plan: Pro Plus

Run ID: b6157fe6-fa36-4d28-b8f8-7513dae6666c

📥 Commits

Reviewing files that changed from the base of the PR and between bb1420c and 0e2c351.

📒 Files selected for processing (2)
  • Makefile
  • tests/test_check_reports.py

📝 Walkthrough

Walkthrough

The pull request adds tolerance-aware validation for generated report PDFs and WebP previews. It centralizes raster checks, adds deterministic report generation and CI enforcement, regenerates report assets, and documents the IEC 61043 report in English and Spanish.

Changes

Report validation and publication

Layer / File(s) Summary
Shared comparison and validation
scripts/generated_assets.py, scripts/check_reports.py, scripts/check_figures.py, tests/test_check_reports.py
Shared Git and raster helpers support tolerance-aware checks. Report validation compares PDF text exactly and WebP pixels within configured limits. Tests cover accepted and rejected differences.
Deterministic generation and CI gate
requirements-reports.txt, scripts/generate_reports.py, Makefile, tests/test_generate_reports.py, .github/workflows/python-app.yml, .github/labeler.yml, CHANGELOG.md
Pinned report dependencies, single-thread rendering defaults, transactional output replacement, fiche registry checks, and a CI validation job were added.
Report assets and documentation
.github/reports/*.webp, docs/intensity.md, site/src/components/ReportPreview.astro, site/src/content/docs/guides/intensity.mdx, site/src/content/docs/es/guides/intensity.mdx
Existing previews were regenerated. The IEC 61043 preview was added. English and Spanish documentation now embed the report preview.

Estimated code review effort: 3 (Moderate) | ~25 minutes

Sequence Diagram(s)

sequenceDiagram
  participant CI as GitHub Actions
  participant Make as Makefile reports target
  participant Generator as generate_reports.py
  participant Checker as check_reports.py
  CI->>Make: run report generation
  Make->>Generator: generate PDFs and WebP previews
  CI->>Checker: validate committed outputs
  Checker-->>CI: return success or stale-report failure
Loading

Possibly related PRs

Suggested labels: validation, packaging, area: metrology

Poem

I check each fiche, both bright and true,
PDFs and WebPs in a tidy queue.
Pixels may wobble, text must align,
IEC previews now proudly shine.
CI hops when reports are right—
Squeak, says the rabbit, goodnight!

🚥 Pre-merge checks | ✅ 4 | ❌ 1

❌ Failed checks (1 warning)

Check name Status Explanation Resolution
Docstring Coverage ⚠️ Warning Docstring coverage is 79.17% 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
Title check ✅ Passed The title clearly identifies the main change: validating example report fiches using the same approach as figures.
Description check ✅ Passed The description explains the problem, implementation, validation results, documentation updates, and applicable checklist items.
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 💡 1
📝 Generate docstrings 💡
  • Create stacked PR
  • Commit on current branch
🧪 Generate unit tests (beta)
  • Create PR with unit tests
  • Commit unit tests in branch report-fiches-drift

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@coderabbitai coderabbitai Bot added area: metrology Calibration, uncertainty and measurement quality packaging Build, release, PyPI and the stub package validation Reference data and oracles used to check results against normative values labels Aug 1, 2026

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Pull request overview

This PR adds a CI “staleness gate” for the committed example report fiches under .github/reports, bringing them to parity with existing figure/API/conformance drift checks. It also embeds a newly committed intensity example fiche into the docs (EN/ES + docs/ mirror) and factors shared asset-compare utilities into a common script module.

Changes:

  • Add scripts/check_reports.py + pinned render dependencies to regenerate and compare .github/reports (PDF text exact + preview raster within tolerance) in a new CI job.
  • Refactor shared “committed vs regenerated” helpers into scripts/generated_assets.py and reuse them from scripts/check_figures.py.
  • Add tests to prevent missing/unstored fiche renders and embed the intensity example fiche in documentation.

Reviewed changes

Copilot reviewed 15 out of 27 changed files in this pull request and generated 1 comment.

Show a summary per file
File Description
tests/test_generate_reports.py Adds a test to assert every registered fiche has committed PDF + preview files.
tests/test_check_reports.py New unit tests for report staleness tolerances (PDF text + raster tolerance).
site/src/content/docs/guides/intensity.mdx Embeds the new intensity example fiche preview/link in the EN guide.
site/src/content/docs/es/guides/intensity.mdx Embeds the new intensity example fiche preview/link in the ES guide.
site/src/components/ReportPreview.astro Updates component docs to reflect tolerance-based CI checking for previews.
scripts/generated_assets.py Introduces shared git/asset helpers + raster tolerance comparator.
scripts/generate_reports.py Pins threadpool env vars early for deterministic report rendering; updates docs.
scripts/check_reports.py Implements tolerance-aware staleness check for .github/reports PDFs + previews.
scripts/check_figures.py Refactors to use shared helpers for committed bytes/tracked files/raster compare.
requirements-reports.txt Adds a pinned rendering stack for the reports CI job.
Makefile Makes make reports delete stale outputs first; runs generator under FIGURE_ENV.
docs/intensity.md Embeds the intensity example fiche preview/link in the docs/ mirror.
CHANGELOG.md Documents the new fiche staleness gate and regenerated/added example fiche(s).
.github/workflows/python-app.yml Adds the new “Example report fiches up to date” CI job.
.github/labeler.yml Labels report/figure changes to include new scripts and requirements file.

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Comment on lines +20 to +22
pytest.importorskip("PIL")
from PIL import Image

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Correct, and it failed rather than skipped. Blocking pypdfium2 with a meta-path finder that raises ModuleNotFoundError, which is what an absent package looks like, produced two failures: pdf_problem catches the ImportError and returns "could not extract text", so both tests then assert against text that was never read. With the skip added beside Pillow's it is one clean skip, and eight passing with the package present. Fixed in a0d12cb.

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The requested test file tests/test_check_reports.py is not present in the provided pull request context. As a result, I cannot provide the updated code snippet or verify the existing implementation. Please ensure the file is included in the PR or provide the relevant code snippet directly.

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Actionable comments posted: 5

🤖 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 @.github/labeler.yml:
- Around line 45-47: Add requirements-figures.txt to the existing reports label
rule alongside scripts/check_reports.py, scripts/generated_assets.py, and
requirements-reports.txt.

In @.github/workflows/python-app.yml:
- Around line 260-264: Pin the actions used by the workflow, including checkout
and setup-python, to their full immutable commit SHAs instead of version tags.
Update every other action reference in the workflow similarly, preserving each
action’s current version and behavior.

In `@Makefile`:
- Around line 141-145: Update the report-generation recipe around
scripts/generate_reports.py so it writes generated PDFs and WebPs to a temporary
output directory first, preserving the existing .github/reports files while
generation runs. Only after the generator succeeds should the recipe replace the
committed renders, including removal of stale files; ensure failure leaves the
existing generated examples intact.

In `@scripts/generate_reports.py`:
- Around line 29-38: The module-level loop in scripts/generate_reports.py does
not reliably enforce deterministic threading because it preserves existing
values and runs after process initialization. Remove this runtime fallback and
ensure all listed thread-limit variables are explicitly set to 1 in FIGURE_ENV
and the CI environment before launching Python or pytest workers.

In `@tests/test_generate_reports.py`:
- Around line 52-65: Update test_every_registered_fiche_is_committed and the
_EXAMPLES registry so the test obtains each report filename from metadata or a
name-only registry without invoking factory(). Preserve the existing
committed-path and preview-path existence checks while keeping report generation
and plot setup out of this test.
🪄 Autofix (Beta)

Fix all unresolved CodeRabbit comments on this PR:

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

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Configuration used: Organization UI

Review profile: ASSERTIVE

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Run ID: a61ef17f-af85-4161-94bb-ad9437869ee3

📥 Commits

Reviewing files that changed from the base of the PR and between f0400a8 and 7b8448f.

⛔ Files ignored due to path filters (6)
  • .github/reports/ebu_r128_loudness_example.pdf is excluded by !**/*.pdf
  • .github/reports/iec61043_intensity_example.pdf is excluded by !**/*.pdf
  • .github/reports/iec61260_filter_1995_example.pdf is excluded by !**/*.pdf
  • .github/reports/iec61260_filter_example.pdf is excluded by !**/*.pdf
  • .github/reports/iso1996_tone_audibility_example.pdf is excluded by !**/*.pdf
  • .github/reports/iso1999_nipts_example.pdf is excluded by !**/*.pdf
📒 Files selected for processing (21)
  • .github/labeler.yml
  • .github/reports/ebu_r128_loudness_example.webp
  • .github/reports/iec61043_intensity_example.webp
  • .github/reports/iec61260_filter_1995_example.webp
  • .github/reports/iec61260_filter_example.webp
  • .github/reports/iso1996_tone_audibility_example.webp
  • .github/reports/iso1999_nipts_example.webp
  • .github/workflows/python-app.yml
  • CHANGELOG.md
  • Makefile
  • docs/intensity.md
  • requirements-reports.txt
  • scripts/check_figures.py
  • scripts/check_reports.py
  • scripts/generate_reports.py
  • scripts/generated_assets.py
  • site/src/components/ReportPreview.astro
  • site/src/content/docs/es/guides/intensity.mdx
  • site/src/content/docs/guides/intensity.mdx
  • tests/test_check_reports.py
  • tests/test_generate_reports.py

Comment thread .github/labeler.yml
Comment thread .github/workflows/python-app.yml
Comment thread Makefile Outdated
Comment thread scripts/generate_reports.py
Comment thread tests/test_generate_reports.py
@codecov

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Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 96.97%. Comparing base (f0400a8) to head (0e2c351).

Additional details and impacted files
@@           Coverage Diff           @@
##             main     #471   +/-   ##
=======================================
  Coverage   96.97%   96.97%           
=======================================
  Files         249      249           
  Lines       38433    38433           
=======================================
  Hits        37271    37271           
  Misses       1162     1162           

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Numerical conformance report

533/533 conformance checks pass across 57 domains and 362 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% (10/10)
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
ANSI S1.4-1983 Tables IV/V B-weighting (historical) deviation vs Type 0 limits (fs=48 kHz) deviation within limits @ 200 Hz -0.049 dB in [-0.70, +0.70] dB headroom +0.651 dB
IEC 61012:1990 Table 1 / 2.2 AU-weighting deviation vs separate-unit tolerances (fs=96 kHz) deviation within limits @ 10000 Hz -0.072 dB in [-1.00, +1.00] dB headroom +0.928 dB
IEC 537:1976 (withdrawn) via NASA CR-3406 Table SLD-I D-weighting response vs the published tabulated curve (fs=48 kHz) abs(response - table) <= 0.2 dB (0.45 dB at 1600/2500 Hz) -0.131 dB @ 8000 Hz (bound 0.20 dB) headroom +0.069 dB
Levels & dosimetry: 100% (9/9)
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
RD 1367/2007 Annex IV A.3.4.2 b Corrected period level LKeq,d (Manual Ejemplo 3.1: 3 noise phases, 12 h) 57 dB (+/-0 dB) 57 dB 0 dB
RD 1367/2007 Annex I A.2 d Long-term level LK,d (Manual Ejemplo 3.2: 303 operating days of 365) 56 dB (+/-0 dB) 56 dB 0 dB
RD 1367/2007 Annex III Table B1, Article 25 Activity verdict (Manual Ejemplo 3.3: area type a, LK,d 56 dB over 55 dB) phase and daily pass, annual fails, activity not compliant phase and daily pass, annual fails, activity not compliant -
Room & building acoustics: 100% (72/72)
Standard Quantity Expected (norm) Computed Δ Status
CTE DB-HR Annex A, Formula (A.5) Global index R'A for pink noise (Manual Ejemplo 7.2) 51.4 dBA (+/-0.05 dBA) 51.4 dBA 0 dBA
CTE DB-HR Annex A, Formula (A.6) Global index D2m,nT,Atr for road traffic (Manual Ejercicio 7.1) 32.8 dBA (+/-0.05 dBA) 32.8 dBA 0 dBA
Manual de acustica ambiental y arquitectonica, Ejemplo 7.1 Reported R'A of the field-test wall (printed 51 dBA = R'w 52 + C -1) 51 dBA (+/-0 dBA) 51 dBA 0 dBA
Manual de acustica ambiental y arquitectonica, Ejemplo 7.1 Reported R'A,tr of the same wall (printed 47 dBA = R'w 52 + Ctr -5) 47 dBA (+/-0 dBA) 47 dBA 0 dBA
CTE Catalogo de Elementos Constructivos Window size correction of RA (Manual Ejemplo 7.4: 4 m2 window, -2 dB) 24 dBA (+/-0 dBA) 24 dBA 0 dBA
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 21 printed rows; (B.1) reduces to (B.2) max abs(Kc - Table B.1) <= 0,05 dB (1 dp print) 0.047 dB (B.1 vs B.2: 4.33e-04 dB) 0.047 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 16251-1 / ISO 717-2 (Foret et al. 2011, carpet) Measured textile-carpet improvement rates to ΔLw = 29 dB ΔLw = 29 dB (paper, ISO 16251-1) ΔLw = 29 dB +0 dB
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
ISO 12354-1:2017 Formula (20) vs Hopkins Eq. 2.201 (6 mm glass) Flanking critical frequency (c0²/1,8·cL·h) vs plate coincidence (c0²/2π · sqrt(m''/B')) 2107.4 Hz (+/-1%) 2123.5 Hz 16.156 Hz
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 717-2:2020 Table D.4 A-weighted maximum impact level LiA,Fmax of the Annex D worked example 55,350 66... dB (rated 55 dB) 55.350668 dB 0 dB
ISO 16283-2:2020 Table A.1 / JIS A 1418-2:2019 Table A.2 Rubber-ball impact force exposure level LFE, five octave bands 39,0 / 31,0 / 23,0 / 17,0 / 12,5 dB re 1 N at 31,5 to 500 Hz 39 / 31 / 23 / 17 / 12,5 dB re 1 N max |dev| 0.000 dB
ISO 16283-2:2020 Formulae (4), (5), (6) Standardized maximum impact level reduces to 10 lg(V/V0) at T = T0 73,0103 dB (= 70 + 10 lg(100/50)) 73.0103 dB 0 dB
ASTM E413-22 clause 5 (ASTM E1414 CAC) Ceiling attenuation class of two accredited E1414 test reports CAC 34 (ALA 16-091-4); CAC 25, sum 24 dB (Intertek J7488.04) CAC 34; CAC 25, sum 24.0 dB exact
ISO 140-9:1985 clause 3.3 Normalized ceiling attenuation Dn,c = D - 10 lg(A/A0), A0 = 10 m2 43.0103 dB (+/-0 dB) 43.0103 dB 0 dB
Vigran (2008) Eqs. (9.18)-(9.20) Plenum model: Eq. (9.18) converges to Eq. (9.20) as the damping vanishes Eq. (9.20) value, reproduced by Eq. (9.18) 139.5682 dB 0 dB
Hopkins (2007) Eq. 4.89 / Fig. 4.35 Mass-spring-mass resonance of a masonry cavity wall without and with ties 26 Hz (no ties) / 50 Hz (2,5 ties/m2, k = 2 MN/m) 26.15 Hz / 49.93 Hz +0.15 / -0.07 Hz
Hopkins (2007) Table A4 Dynamic stiffness of four wall ties (butterfly, double-triangle, twist) 1,7 / 16,1 / 94,0 MN/m at 50 mm; 43,4 MN/m at 100 mm 1.7 / 16.1 / 94 / 43.4 MN/m exact
ISO 10846-2:2008 3.17 Transfer-stiffness level Lk = 20 lg(|k|/k0), k0 = 1 N/m (|k| = 1 MN/m) 120 dB (+/-0 dB) 120 dB 0 dB
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 0 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
ISO 12354-1:2017 Annex L, Tables L.2 to L.4 In-situ element chain: 10 lg sigma, 10 lg sigma_f, eta_tot, Rsitu, a_situ (21 bands x 5 elements) 0 dB (+/-0.1 dB) 0.057 dB 0.057 dB
ISO 12354-1:2017 Annex L, Table L.1 Detailed airborne model: 13 paths + R' per band, R'w = 57 dB max path/total dev <= 0,1 dB; R'w = 57 dB 0.055 dB; 57 dB 0.055 dB
ISO 12354-2:2017 Annex G, Tables G.3, G.4 and G.1 Detailed impact model: Ln,situ, Ln,Dd, Ln,Df, L'n per band, L'n,w = 41 dB max path/total dev <= 0,1 dB; L'n,w (CI) = 41 (2) dB 0.077 dB; 41 (2) dB 0.077 dB
Hopkins (2007) 3.6.3.1 / 4.4.3.1, printed pp. 276-282 and 513-514 Tapping machine: vo, cut-off frequencies fco of a bare slab and two soft coverings (7 000 / 2 300 / 100 Hz) 0 (+/-0.02) 0.0077 0.008
Hopkins (2007) Figs. 3.30/3.31 and 4.73, printed pp. 281 and 524 Over/under-critical case of four walking surfaces; double floating-floor resonances 74 Hz and 195 Hz 4/4 critical cases; fmsms = 74 / 195 Hz (+/-2%) 4/4; 74.1 / 194.0 Hz 0.53%
ISO 12354-2:2017 Annex C / Annex G Table G.4 Floating floor: fo = 160 sqrt(s'/m') = 52,8 Hz, DeltaL = 30 lg(f/fo) over 21 bands, DeltaLw = 32,2 dB 0 dB (+/-0.05 dB) 0.048 dB 0.048 dB
ISO 12354-1:2017 Annex D / Hopkins (2007) Fig. 4.48, printed p. 486 Lining resonance (Formula D.1) 542 Hz and the Table D.1 improvement branches fo = 542 Hz (+/-1%); 8/8 Table D.1 rows 541.9 Hz; 8/8 0.02%
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
Room acoustics: 100% (16/16)
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
Long, Architectural Acoustics 2e, Table 8.1 Room modes of a 7 x 5 x 3 m room: the six printed frequencies, Hz 42.4 Hz (+/-0.13 Hz) 42.27 Hz -0.126 Hz
Long, Architectural Acoustics 2e, Eq. (8.46) Modal density of a 7 x 5 x 3 m room at 1 kHz = 34 modes/Hz 34 modes/Hz (+/-0.5 modes/Hz) 34.32 modes/Hz 0.32 modes/Hz
Long, Architectural Acoustics 2e, Eq. (17.51) Restaurant self-noise, 20 talkers over 20 metric sabins = 76 dB 76 dB (+/-0.05 dB) 76.021 dB 0.021 dB
Long, Architectural Acoustics 2e, Eq. (17.54) Privacy bound A_tab < 3.16 rt^2 (Q = 2, L_SN = -9 dB) 3.16 m^2 (+/-0.005 m^2) 3.164 m^2 0.004 m^2
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% (14/14)
Standard Quantity Expected (norm) Computed Δ Status
Moore, Psychology of Hearing 6e, p. 77 (Glasberg & Moore 1990) ERB_N number of 1000 Hz = 15.59 Cam 15.59 Cam (+/-0.005 Cam) 15.5932 Cam 0.003 Cam
Moore, Psychology of Hearing 6e, p. 76 (Glasberg & Moore 1990) ERB_N at 1 kHz vs the printed 24.7(4.37F + 1), Hz 132.639 Hz (+/-0.3%) 132.445 Hz -0.194 Hz
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% (10/10)
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 Annex M Full-STI worked example: printed MTF + speech/noise spectra -> STI STI 0.76 (MTI row of step 4c) STI 0.758 (max MTI dev 0.00) -0.002
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
System measurement (Golay / Kirkeby / Mueller-Massarani): 100% (5/5)
Standard Quantity Expected (norm) Computed Δ Status
Havelock 2008 Part I Ch. 6 (Xiang), Eq. (2) Golay pair: sum of periodic autocorrelations = 2L*delta (L = 4096) 0 (algebraic identity, +/-1e-10) 0 0
Havelock 2008 Part I Ch. 6 (Xiang), Eq. (4) Golay chain recovers a delay+gain system IR (noiseless, exact) 0 (machine precision, +/-1e-13) 0 0
Kirkeby & Nelson 1999 Eq. (17) / Mueller-Massarani 2001 Sec. 3.1 In-band equalization residue equals eps/(|H|^2 + eps) bin by bin 0 (closed form, +/-1e-12) 0 0
Kirkeby & Nelson 1999 (max of x/(x^2+eps) = 1/(2*sqrt(eps))) Out-of-band inverse-filter gain within the regularization cap <= -6.021 dB (analytic cap) -6.034 dB headroom +0.013 dB
Mueller-Massarani 2001 Secs. 4.2-4.3 (group-delay synthesis) Shaped sweep's Welch spectrum follows the pink target, in-band 0 dB in-band deviation (+/-0.5 dB) 0.0652 dB 0.065 dB
Intensity & sound power: 100% (10/10)
Standard Quantity Expected (norm) Computed Δ Status
IEC 61043:1993 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
IEC 61043:1993 Table 2 Minimum delta_pI0 per band, probe/processor/instrument, class 1/2 132 tabulated minima reproduced max absolute deviation 0.000 dB 0 dB
IEC 61043:1993 Table 2 Note 1 Separation rule +10 lg(x/25) on all six columns of 25 mm minima (x = 50 mm) 3.0103 dB (+/-0 dB) 3.0103 dB 0 dB
Fahy, Sound Intensity 2e, 6.8 delta_pI0 = 20 dB is a phase mismatch of 0.26 deg (1 kHz, 25 mm) 0.26 deg (+/-0.005 deg) 0.2624 deg 0.002 deg
ISO 9614-1:1993 Eqs (A.1)/(A.2) Temporal variability F1 is the coefficient of variation of M samples 0.185164 (+/-0) 0.185164 0
ISO 4871:1996 clause 3.15 / Annex B Declared L_WAd = L_WA + K_WA (Annex B, L_WA=88, K_WA=2) 90 dB (+/-0 dB) 90 dB 0 dB
ISO 4871:1996 clause 6.2 Single-machine verification boundary L_1 <= L_WAd L_1=90 verified, L_1=91 rejected (L_WAd=90) 90->True, 91->False boundary L_1 = L_WAd
ISO 3741:2010 Eq. 20 Reverberation-room method inverts to a known LW 0 dB error 0 dB 0 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% (14/14)
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) Directional diffusion coefficient (QRD, model arc) 0.1099 (+/-0) 0.1099 0
ISO 17497-2:2012 Formula (5) Directional diffusion coefficient (flat reference) 0.0049 (+/-0) 0.0049 0
ISO 17497-2:2012 Formula (7) Normalised diffusion coefficient (QRD, model arc) 0.1055 (+/-0) 0.1055 0
Cox & D'Antonio 3e App. B (2D BEM) Normalised diffusion d_n, N=7 QRD x 6 periods, 200 Hz band (low-band anchor) 0 (+/-0.015) 0 0
Cox & D'Antonio 3e App. B (2D BEM) Normalised diffusion d_n, N=7 QRD x 6 periods, 250 Hz band (low-band anchor) 0.01 (+/-0.015) 0.001 -0.009
Cox & D'Antonio 3e App. B (2D BEM) Normalised diffusion d_n, N=7 QRD x 6 periods, 315 Hz band (low-band anchor) 0.01 (+/-0.015) 0.002 -0.008
Cox & D'Antonio 3e App. B (2D BEM) Normalised diffusion d_n, N=7 QRD x 6 periods, 400 Hz band (low-band anchor) 0.01 (+/-0.015) 0.008 -0.002
ISO 17497-2:2012 Formula (8) Zenith area factor (radians convention) 1.57105 (+/-0) 1.57105 0
Cox & D'Antonio Eq (10.3) QRD deepest well depth (N=7, f0=500 Hz) 0.196 m (+/-0 m) 0.196 m 0 m
Cox & D'Antonio Eq (5.8) + ISO 17497-2 Formula (7) Flat-panel predicted normalised diffusion (self-reference zero) 0 (+/-0) 0 0
Cox & D'Antonio Eq (5.8) + ISO 17497-2 Formula (7) QRD predicted normalised diffusion at 2 kHz (above flat panel) 0.208 (+/-0) 0.208 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% (24/24)
Standard Quantity Expected (norm) Computed Δ Status
ANSI S3.5-1997 Table 3 Band-importance function normalisation 1 (+/-0) 1 0
ASA WG S3-79 SII.C (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
ASA WG S3-79 SII.C (clause 6) SII, noise 30 dB plus hearing loss 40 dB 0.218454 (+/-0.000001) 0.218454 0
ANSI S3.5-1997 Annex C.2 Worked example (SII.C / R CRAN, errata applied) 0.851375 (+/-0.000001) 0.851375 0
ANSI S3.5-1997 Table C.2 (errata) Masking Zi at 200 Hz, corrected worksheet 34.66 dB (+/-0.01 dB) 34.66 dB -0.002 dB
ASA WG S3-79 SII.C (clause 6) SII, standard speech in quiet, normal hearing 0.99582517 (+/-0.000001) 0.99582517 0
ASA WG S3-79 TO.TST Official one-third-octave test case 0.445 (+/-0.001) 0.445 0
ASA WG S3-79 TO_1.TST Official test case, alternative importance 0.438 (+/-0.001) 0.438 0
ASA WG S3-79 CB.TST Official critical-band test case 0.273 (+/-0.001) 0.273 0
ASA WG S3-79 CB_1.TST Critical band, alternative importance 0.41 (+/-0.001) 0.41 0
ASA WG S3-79 ECB.TST Official equally-contributing test case 0.278 (+/-0.001) 0.278 0
ASA WG S3-79 ECB_1.TST Equally contributing, alternative importance 0.41 (+/-0.001) 0.41 0
ASA WG S3-79 OCTAVE.TST Official octave-band test case 0.491 (+/-0.001) 0.491 0
ASA WG S3-79 OCTAVE_1.TST Octave band, alternative importance 0.323 (+/-0.001) 0.323 0
ANSI S3.5-1997 Annex C.1 Octave-band worked example (SII.C) 0.504 (+/-0.001) 0.504 0
ANSI S3.5-1997 Table C.1 (errata) Level distortion Li, row i = 5 1 (+/-0.01) 1 -0.004
ANSI S3.5-1997 Table 1 Critical-band importance normalisation 1 (+/-0) 1 0
ANSI S3.5-1997 Table 2 Equally-contributing importance, 17 x 0.0588 0.9996 (+/-0) 0.9996 0
ANSI S3.5-1997 Table 4 Octave-band importance normalisation 1 (+/-0) 1 0
ANSI S3.5-1997 Table 4 Octave-band Ui and Xi equal Table 3's 0 dB (+/-0 dB) 0 dB 0 dB
ANSI S3.5-1997 Table 1 Critical-band table, all 21 rows 0 (+/-0) 0 0
ASA WG S3-79 SII.C (clause 6) Flat-input cases, all four procedures 0 (+/-0.000000001) 0.0000000001 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
Impulsive-sound prominence (ISO/PAS 1996-3): 100% (2/2)
Standard Quantity Expected (norm) Computed Δ Status
ISO/PAS 1996-3:2022 3.5 Onset rate of a 30 dB ramp over 0.30 s 100 dB/s (+/-0 dB/s) 100 dB/s 0 dB/s
ISO/PAS 1996-3:2022 Formula 3 Adjustment KI of the ramp onset 7.1176 dB (+/-0 dB) 7.1176 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% (6/6)
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
ISO 1999:2013 Annex C, Formulae (C.6) to (C.8) NIPTS at 1/2/4 kHz, 90 dB, 30 yr, Q = 10 % (annex inputs) 0, 9, 19 dB 0, 9, 19 dB 0 dB
ISO 1999:2013 Annex C, Formula (C.5) Compressed 4 kHz shift, Formula (1) with the annex's H = 36 dB 13.3 dB (+/-0.1 dB) 13.3 dB 0 dB
ISO 1999:2013 Annex C, Formula (C.11) Hearing threshold level with age and noise, 1/2/4 kHz mean, Q = 10 % 31.1 dB (+/-0.1 dB) 31.1 dB 0 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% (20/20)
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 60268-5:2003 (20.3/20.4) Characteristic sensitivity level, 1 W into 8 ohm at 1 m (flat 90 dB) 90 dB (+/-0.000001 dB) 90 dB 0 dB
IEC 60268-5:2003 (21.2) Effective frequency range = -10 dB crossings (50 Hz / 18 kHz) 50 Hz / 18000 Hz (ref -10 dB crossings) 50.000 Hz / 18000.0 Hz -0.000 / -0.000 Hz
IEC 60268-3:2013 (14.12.5) 2nd-order harmonic distortion d2 (rel. total) 0.099361 (+/-0.0001) 0.099361 0
IEC 60268-4:2014 (11.1/11.3) Microphone sensitivity level, 12.5 mV/Pa -> 20 lg 0.0125 dB re 1 V/Pa -38.0618 dB (+/-0.00001 dB) -38.0618 dB 0 dB
IEC 60268-4:2014 (12.2) Effective frequency range = +/-3 dB tolerance crossings (40 Hz / 18 kHz) 40 Hz / 18000 Hz (+/-3 dB tolerance crossings) 40.000 Hz / 18000.0 Hz 0.000 / -0.000 Hz
IEC 60268-4:2014 (13.2.2) Directivity index of the ideal cardioid, 10 lg 3 dB (11.2.2 a integral) 4.771213 dB (+/-0.005 dB) 4.771214 dB 0 dB
IEC 60268-4:2014 (17.2) Equivalent noise level, 2.5 uV over 12.5 mV/Pa -> 200 uPa = 20 dB SPL 20 dB SPL (+/-0 dB SPL) 20 dB SPL 0 dB SPL
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% (12/12)
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
IEC 60268-1:1985 Clause A2.1 / Table AII 5 ms burst of 5 kHz tone at 48 kHz: gate RMS = A/sqrt(2) (integral periods) 0.707107 (+/-0) 0.707107 0
Harris 1978 closed form (DFT-even Hann) Hann window ENBW = n*sum(w^2)/sum(w)^2 = 3/2 exactly 1.5 (+/-0) 1.5 0
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
Percival & Walden 1993, Table 382 Slepian taper concentration lambda_14(31, 8/31), quadruple-precision table 0.92943822082 (+/-0.000000000001) 0.92943822082 0
Percival & Walden 1993, Section 7.2 / Eq. (333) Multitaper white-noise density = sigma^2/(fs/2), NW=4, K=7 tapers 0.000977 (+/-3%) 0.000963 0
Percival & Walden 1993, Eq. (369a) tone calibration Multitaper 'spectrum' scaling reads a sinusoid peak at A^2/2 4.5 (+/-0.01%) 4.500003 0
Percival & Walden 1993, Eq. (370b) Adaptive multitaper dof -> 2K on white noise (weights -> uniform) 14 (+/-2%) 13.9847 -0.015
Multiple-input coherence (Bendat & Piersol): 100% (5/5)
Standard Quantity Expected (norm) Computed Δ Status
Bendat & Piersol, Random Data 4e Problem 7.2 / Eqs. (7.86)/(7.94) Conditioned coherent output of the 2nd input abs(G2y.1)^2/G22.1 = 4/3 exactly 1.333333333 (+/-0) 1.333333333 0
Bendat & Piersol, Random Data 4e Problem 7.2 / Eqs. (7.87)/(7.116) Partial coherence gamma^2_2y.1 = 2/15 and multiple coherence = 0.7 0.7 (+/-0) 0.7 0
Bendat & Piersol, Random Data 4e Eq. (7.35) with Eqs. (6.40)/(6.41) Multiple coherence of a known-SNR system: gamma^2_{y:x} = SNR/(1+SNR) 0.8889 (+/-0.03) 0.8913 0.002
Bendat & Piersol, Random Data 4e Eq. (7.117) Uncorrelated inputs: multiple coherence = sum of ordinary coherences 0 (+/-0.02) -0.0098 -0.01
Bendat & Piersol, Random Data 4e Eqs. (7.88)/(7.121) Output-power decomposition Gyy = sum of Gvi + Gnn (exact) 0 (+/-0.000000000001) 0 0
Time-frequency analysis (Bendat & Piersol): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
Bendat & Piersol, Random Data 4e Eq. (12.173) Spectrogram of an on-bin tone reads its mean square A^2/2 in every column 2 (+/-1e-07%) 2 0
Parseval + COLA identity (Hann taper, 75% overlap) Time-integrated STFT power = time-domain energy of an interior burst 0.236151 (+/-1e-10%) 0.236151 0
Bendat & Piersol, Random Data 4e Eqs. (11.128)-(11.130) Zoom FFT tone amplitude = demodulate-decimate-DFT chain, machine precision 0.7 (+/-1e-10%) 0.7 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
Cepstrum, liftering and envelope spectrum (Havelock / B&P): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
Havelock 2008 Ch. 27 Fig. 21 + Mercator series of ln(1+ae^{-jtheta}) Power-cepstrum height at the echo delay = reflection coefficient a 0.4 (+/-0) 0.4 0
Havelock 2008 Ch. 87 Eq. (14): complex cepstrum, series term n = 2 Second rahmonic of a reflection a = 0.4 equals -a^2/2 -0.08 (+/-0) -0.08 0
Bendat & Piersol, Random Data 4e Sec. 13.3 (Fig. 13.11) Envelope-spectrum line of an AM tone (A0 = 2, m = 0.35) at fm 0.7 (+/-0.002) 0.7 0
Time synchronous averaging (McFadden 1987): 100% (5/5)
Standard Quantity Expected (norm) Computed Δ Status
McFadden 1987 Eq. 8 / Eq. 9: comb filter |C(f)| at a harmonic k/T Comb-filter tooth height at a harmonic equals unity (any N) 1 (+/-0) 1 0
McFadden 1987 Eq. 8: comb filter one quarter-order from a tooth, N = 2 Comb-filter magnitude = 1/sqrt(2) at order 0.25 0.70710678 (+/-0) 0.70710678 0
McFadden 1987 Sec. 4 (Fig. 5): node selection, tone at 32.05 orders N = 20 places a comb node on 32.05 orders (|C| = 0), not the power-of-2 N = 32 0 (+/-0.0000000001) 0 0
McFadden 1987 Eq. 5: exact recovery, integer samples per period Noiseless periodic waveform (M = 256) recovered to machine precision 0 (+/-0.0000000001) 0 0
McFadden 1987 Sec. 1: asynchronous-noise variance reduced by 1/N Residual noise std of the average falls as sigma/sqrt(N), N = 64 0.125 (+/-15%) 0.12414 -0.001
Data qualification and Rice statistics (Bendat & Piersol): 100% (8/8)
Standard Quantity Expected (norm) Computed Δ Status
Bendat & Piersol, Random Data 4e Example 4.4 Reverse arrangements of the 20-observation sequence 86 (+/-0) 86 0
Bendat & Piersol, Random Data 4e Table A.6 Lower percentage point A(20; 0.975) at alpha = 0.05 64 (+/-0) 64 0
Bendat & Piersol, Random Data 4e Table A.6 Upper percentage point A(20; 0.025) at alpha = 0.05 125 (+/-0) 125 0
Wald & Wolfowitz 1940 exact run distribution Runs acceptance region for n1 = n2 = 10, alpha = 0.05: lower point 6 (+/-0) 6 0
Wald & Wolfowitz 1940 exact run distribution Runs acceptance region for n1 = n2 = 10, alpha = 0.05: upper point 15 (+/-0) 15 0
Bendat & Piersol, Random Data 4e Example 5.13 / Eq. (5.195) Zero-crossing rate of bandlimited noise (fc = 1 kHz, B = 400 Hz) 2013 (+/-1%) 2013 -0.551
Bendat & Piersol, Random Data 4e Example 5.12 Apparent frequency of low-pass noise (B = 2 kHz) = 0.577 B 1155 (+/-1%) 1159 3.911
Bendat & Piersol, Random Data 4e Example 5.14 / Eq. (5.206) Prob[positive peak > 4 sigma] of a narrow bandwidth record 0.000335 (+/-0.00001) 0.000334 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% (16/16)
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
Medwin (1975) sound speed (Ainslie Eqs. 1.2-1.4) ∂c/∂T at 10 °C, neglecting the bracketed terms, m/s per °C 3.5 m/s per °C (+/-0.001 m/s per °C) 3.5 m/s per °C 0 m/s per °C
Underwater propagation regimes (Weston flux theory): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
Ainslie (2010) Table 9.1, medium sand Reflection loss gradient η from Equation (9.51), Np/rad 0.28 Np/rad (+/-0.005 Np/rad) 0.278 Np/rad -0.002 Np/rad
Ainslie (2010) Table 9.1, mud Reflection loss gradient η from Equation (9.53) at 1 Hz, Np/rad 0.021 Np/rad (+/-0.0005 Np/rad) 0.02073 Np/rad 0 Np/rad
Weston cylindrical spreading vs normal modes Range-averaged TL in an ideal 100 m waveguide at 100 Hz, 20-30 km, dB 58.949 dB (+/-1 dB) 58.399 dB -0.55 dB
Marine-mammal auditory weighting (NMFS / Southall): 100% (4/4)
Standard Quantity Expected (norm) Computed Δ Status
NMFS (2018) Appendix D worked example Weighting factor adjustment W(1 kHz) for high-frequency cetaceans, dB -37.55 dB (+/-0.01 dB) -37.545 dB 0.005 dB
NMFS (2024) v3.0 Table 5, otariid C C recomputed as the peak of W(f) for the OW row (printed 1.37, corrected 1.36), dB 1.3643 dB (+/-0.0005 dB) 1.3643 dB 0 dB
Ainslie (2010) Equation (11.159), orca audiogram Hearing threshold at 50 kHz (third branch), dB re 1 µPa 51.2 dB (+/-0.05 dB) 51.199 dB -0.001 dB
Ainslie (2010) §11.4.6, orca versus salmon Noise-limited figure of merit (SL + TS − NL + AG − DT)/2, dB re m² 51 dB (+/-0 dB) 51 dB 0 dB
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% (15/15)
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
EASA ANP database round-trip Interpolated NPD level at a tabulated node vs the published ANP value, dB 98.8 dB (+/-0 dB) 98.8 dB 0 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
CNOSSOS-EU road source (Directive 2002/49/EC Annex II): 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
CIRCABC CNOSSOS-EU road emission test set Line power of the 60 committed cases of the 4 875-case published test set, 8 octave bands each, dB re 1 pW/m <= 0.01 dB on 480 published band levels (60 cases) 0.005 dB 0.005 dB
Directive (EU) 2021/1226 Annex pt (19)(a), Table F-1 Rolling and propulsion coefficients, 5 categories x 4 rows x 8 bands 160 coefficients identical 0 mismatches 0 mismatches
Directive (EU) 2021/1226 Annex pt (19)(b), Table F-4 Road-surface coefficients, 15 surfaces x 5 categories x (8 alpha + beta) 675 stored coefficients identical 0 mismatches 0 mismatches
Directive (EU) 2015/996 Appendix F, Tables F-2 and F-3 Studded-tyre and junction coefficients, unchanged since 2015 36 coefficients identical 0 mismatches 0 mismatches
Directive (EU) 2015/996 Annex II 2.2.4 / 2.2.11 Sound power at v_ref = 70 km/h under reference conditions, dB re 1 pW exactly A_R,i,m and A_P,i,m 0 dB 0 dB
Directive (EU) 2021/1226 Annex pt (8)(b) Octave-band A-weighting AWC_f,i prescribed by 2.5.5, dB 8 values identical 0 mismatches 0 mismatches
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% (20/20)
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
Allard & Atalla 2e Sect. 11.3.4 (Eq. 6.90), Table 6.1 glass wool Zwikker-Kosten decoupling frequency Fd, Hz 43.27 Hz (+/-0.005 Hz) 43.271 Hz 0.001 Hz
Allard & Atalla 2e Eq. (11.55), printed p. 253 (prose limit) Limp effective density at DC = apparent total density rho_t, kg/m3 31.1809 kg/m3 (+/-0.01%) 31.1809 kg/m3 0 kg/m3
Allard & Atalla 2e Eq. (11.55), printed p. 253 (prose limit) Heavy frame recovers the rigid-frame Zc (relative deviation) 0 (+/-0.00001) 0 0
Allard & Atalla 2e printed p. 254 (Doutres et al. 2007) Limp-frame bulk-modulus limit for air, kPa 20 kPa (+/-0.3 kPa) 20.27 kPa 0.265 kPa
Allard & Atalla 2e Eq. (6.110), Table 6.1 glass wool Frame lambda/4 resonance of a 10 cm layer, Hz 459.9 Hz (+/-0.05 Hz) 459.93 Hz 0.033 Hz
Allard & Atalla 2e Sect. 6.5.4 (Biot model output), pp. 124-125 Airborne compressional branch changes root at 495 Hz 495 Hz (+/-1%) 495.9 Hz 0.9 Hz
Allard & Atalla 2e Sect. 6.5.4 (Biot model output), pp. 124-125 Frame-borne velocity ratio Re(mu_b) at 1500 Hz (see ERRATA) 0.82 (+/-2%) 0.811 -0.009
Allard & Atalla 2e Sect. 6.6.3 (Biot model output), p. 129 Surface-impedance peak of a 5,6 cm layer, Hz 860 Hz (+/-2%) 863.5 Hz 3.5 Hz
Allard & Atalla 2e Sect. 11.3.4 (rigid-frame limit) Stiff, heavy frame recovers the JCA layer (max rel deviation) 0 (+/-0.0000001) 0.0000000034 0
Allard & Atalla 2e Eq. (6.107) vs Sect. 11.5 assembly Two independent derivations of Zs (max rel deviation) 0 (+/-0.0000000001) 0 0
Slow-sound perfect absorbers (Jimenez et al. Appl. Sci. 2017): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
Jimenez et al. Appl. Sci. 2017 Eq. (9) Critical coupling: alpha at the design frequency (300 Hz, normal) 1 (+/-0.001) 1 0
Poiseuille limit (Stinson 1991) Slit: j w rho_s -> 12 eta / h^2 as w -> 0 (h = 1.2 mm) 153.3 Pa s/m2 (+/-0.1%) 153.3 Pa s/m2 0 Pa s/m2
Poiseuille limit (Stinson 1991) Square duct: j w rho -> 28.454 eta / w^2 as w -> 0 (w = 3 mm) 58.2 Pa s/m2 (+/-0.2%) 58.2 Pa s/m2 0 Pa s/m2
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% (4/4)
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
2D Kirchhoff-Helmholtz NTFF: monopole directivity Far-field pattern ripple of an enclosed line source, dB 0 dB (+/-0.2 dB) 0.044 dB 0.044 dB
2D Kirchhoff-Helmholtz NTFF: monopole level NTFF far-field level vs the 2D Green function A sqrt(2/(pi k)), dB 0 dB (+/-0.3 dB) 0.106 dB 0.106 dB
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% (7/7)
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
Salomons 2001 Fig. D.3 (grassland ground dip, sigma = 200 kPa s/m2) Minimum dL for hs = hr = 2 m, r = 100 m (dip near 395 Hz), dB -12.7 dB (+/-0.3 dB) -12.72 dB -0.022 dB
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% (17/17)
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
Vigran Building Acoustics Eq. (3.109), printed p. 96 Flat 1 mm steel plate 1 m x 1 m, f(1,1) 4.9 Hz (+/-0.05 Hz) 4.93 Hz 0.033 Hz
Vigran Eqs. (3.113)/(3.115), printed p. 96 Corrugated 1 mm steel plate (H = 10 mm, L = 100 mm), f(2,2) 102 Hz (+/-0.1 Hz) 102.09 Hz 0.092 Hz
Bies 5e Eq. (7.59) / Vigran Eq. (6.112) Heckl coincidence-branch constant, dB (rho c = 414) -13.2 dB (+/-0.02 dB) -13.217 dB -0.017 dB
Bies 5e Eq. (7.60) / Vigran Eq. (6.112) Heckl recovery-branch constant, dB (rho c = 414) -23 dB (+/-0.2 dB) -23.16 dB -0.16 dB
Vigran Eq. (6.111) / Bies Eq. (7.38) Orthotropic diffuse integral below fc1 vs its exact mass-law form 6.287723 dB (+/-0.000001 dB) 6.287723 dB 0 dB
Hopkins Table A2, printed p. 608 h.fc products of 25 building-material rows, worst deviation 0 m.Hz (+/-0.06 m.Hz) 0.0476 m.Hz 0.048 m.Hz
Hopkins Eq. 4.99/4.101 (Gomperts slit) Transmission maximum at first resonance 1544.9615 Hz (+/-15 Hz) 1542.9615 Hz -2 Hz
Bending-wave plate-junction transmission (Cremer / Craik / Hopkins): 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
Hopkins Eq. 5.12 (identical plates) X-junction corner tau12(0 deg) = 1/8 0.125 (+/-0) 0.125 0
Hopkins Eqs 5.12 + 5.6 (identical plates) X-junction corner angular average = 1/12 0.0833 (+/-0) 0.0833 0
Hopkins Eqs 5.12 + 5.6 (identical plates) L-junction corner angular average = 1/3 0.3333 (+/-0) 0.3333 0
Hopkins Eq. 5.14 (identical plates) In-line junction tau12(0 deg) = 1 1 (+/-0) 1 0
Hopkins Eq. 5.7 (SEA consistency) X-junction reciprocity tau_bar_12 / tau_bar_21 = chi 1.5 (+/-0) 1.5 0
Hopkins Eq. 5.116 (identical plates, fc_j = f_ref) X-junction vibration reduction index = 10 lg(12) 10.7918 dB (+/-0 dB) 10.7918 dB 0 dB
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 -16.368 dB (+/-0.5 dB) -16.402 dB -0.035 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% (9/9)
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
Long, Architectural Acoustics 2e, Eq. (18.21) Omnidirectional mic at Zs = -6 dB: L(H-M) <= L(H-L) - 4 dB 76 dB (+/-0 dB) 76 dB 0 dB
Long, Architectural Acoustics 2e, Eq. (18.22) Cardioid mic (DM = -2 dB) at Zs = -6 dB: L(H-M) <= L(H-L) - 2 dB 78 dB (+/-0 dB) 78 dB 0 dB
Long, Architectural Acoustics 2e, Eq. (18.23) Number-of-open-microphones correction 10 lg Nm at Nm = 4 6.0206 dB (+/-0 dB) 6.0206 dB 0 dB
Industrial noise control: 100% (22/22)
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
Long 2e Eq. 13.1 with Table 13.5 (ASHRAE 1987 fan model) Forward-curved fan at Q_REF, P_REF, peak efficiency -> K_F + C_BFI at 500 Hz 38 dB (+/-0 dB) 38 dB 0 dB
Long 2e Eq. 14.12 with Table 14.2 (Reynolds lined rectangular duct) 18 x 12 in duct, 6 ft, 1 in lining at 1 kHz -> 1.77 (10/3)^0.695 6 dB 24.5203 dB (+/-0 dB) 24.5203 dB 0 dB
Long 2e Table 14.4 (ASHRAE 1995 lined flexible duct) 8 in diameter, 9 ft long -> 6/8/16/25/28/28/18 dB (table node) 0 dB (max |diff| over the 7 bands) 0 dB 0 dB
Long 2e Eq. 14.17 (branch power division) 25 per cent split with area-matched branches -> -10 lg 0.25 = 6.02 dB 6.0206 dB (+/-0 dB) 6.0206 dB 0 dB
Long 2e Table 14.9 (worked duct-borne sheet, supply path) Fan to room, 8 octave bands -> 52/42/30/18/9/-2/-2/-1 dB at the receiver 0 dB +/-1 (max |diff| over the 8 bands) 1 dB 1 dB
Long 2e Eqs. 13.27-13.33 (Reynolds diffuser self-noise) 24 x 24 in rectangular diffuser, 312 cfm, 0.05 in pd -> the 33/32/29/23/15 dB row of Table 14.9 0 dB +/-1 (max |diff| over the five bands) 0.8853 dB 0.885 dB
ASHRAE 2019 Applications Ch. 49 Table 9 Max neck velocity of a supply outlet for design RC(30) -> 2.2 m/s 2.2 m/s (+/-0 m/s) 2.2 m/s 0 m/s
Norton & Karczub 2e Eqs. 7.6/7.8/7.9 (problem 7.1 answer) 254 mm duct, steam, 200 m/s: (1,0) cut-on 812 Hz and k_x = -8.23 1/m 0 +/-1 (Hz, and 1/m x100) 0.591 0.591
Norton & Karczub 2e Eq. 7.10 (problem 7.2 answer) 0.65 x 0.4 m duct, 15 m/s: first three cut-on 264 / 428 / 503 Hz 0 Hz (max |diff| over the 3 modes) 0 Hz 0 Hz
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
Norton & Karczub 2e Eq. (4.101) (problem 4.21 answer) Double brick wall into an 8 x 9 x 3 m room -> NR 37.5/40.8/49.0/62.8/65.3/65.9 dB 0 dB +/-0.05 (max |diff| over the 6 bands) 0.0308 dB 0.031 dB
Norton & Karczub 2e 4.6/4.9 (problem 4.18 answer) Blower in a plant room to the operator room -> 72.3/60.4/41.4/41.0/33.8/30.7 dB 0 dB +/-0.1 (max |diff| over the 6 bands) 0.0682 dB 0.068 dB
Norton & Karczub 2e Eq. (4.115) (problem 4.16 answer) Lined compressor enclosure against NC-45 -> required TL 14.4/25.2/28.9/34.4/35.2/34.7/34.7/31.6 dB 0 dB +/-0.15 (max |diff| over the 8 bands) 0.1099 dB 0.11 dB
Norton & Karczub 2e Table 4.5 (constant-volume source power) Source in the intersection of two flat surfaces (Q = 4) -> +10 lg 4 = 6.02 dB 6.0206 dB (+/-0 dB) 6.0206 dB 0 dB
CNOSSOS-EU railway source (Directive 2002/49/EC Annex II): 100% (8/8)
Standard Quantity Expected (norm) Computed Δ Status
CIRCABC CNOSSOS-EU railway emission test set Line power of the 123 committed cases of the published test set, both source heights, 8 octave bands each, dB re 1 pW/m <= 0.01 dB on 984 published band levels (123 cases) 0.0055 dB 0.005 dB
Appendix G Tables G-1a and G-1b (roughness) Wheel roughness by brake type (3 x 32) and rail roughness by class (2 x 35), dB 166 coefficients identical 0 mismatches 0 mismatches
Directive (EU) 2021/1226 Annex pt (20)(b), Table G-2 Contact filter A3 for 5 wheel load and diameter combinations x 35 wavelengths, dB 175 coefficients identical 0 mismatches 0 mismatches
Appendix G Table G-3 (transfer functions) Track transfer (8 x 24), wheel transfer (4 x 24) and superstructure transfer (24), dB per axle 312 coefficients identical 0 mismatches 0 mismatches
Appendix G Tables G-4 to G-7 Impact roughness (35), traction (5 x 2 x 24), aerodynamic (2 x 24) and bridge (2 x 24), dB 371 coefficients identical 0 mismatches 0 mismatches
Annex II 2.3.2, formula (2.3.15) Horizontal dipole directivity along the track: 10 lg(0,01) at phi = 0 -20 dB (+/-0 dB) -20 dB 0 dB
Annex II 2.3.2, formulae (2.3.13) and (2.3.14) Aerodynamic speed law at v0 = 300 km/h reduces to Table G-6 verbatim 50 lg 2 = 15.051 dB on every band 0 dB 0 dB
Annex II 2.3.2, formula (2.3.12) Impact roughness at the tabulated joint density n_l = 0,01 per m Table G-4 verbatim 0 dB 0 dB

Tests & coverage — 47040 tests, 0 failures (✅ all green)
Python Version Tests Failures Coverage Status
macos-latest-3.13 7840 0 97.0% ✅ Passed
macos-latest-3.14 7840 0 97.0% ✅ Passed
ubuntu-latest-3.13 7840 0 97.0% ✅ Passed
ubuntu-latest-3.14 7840 0 97.0% ✅ Passed
windows-latest-3.13 7840 0 97.0% ✅ Passed
windows-latest-3.14 7840 0 97.0% ✅ Passed

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

The module already skips itself without Pillow, but the three tests that
drive the PDF half of the gate go through pypdfium2, and nothing said so.
Without it installed they do not skip: pdf_problem catches the ImportError
and reports "could not extract text", which is the right answer for a
corrupt fiche and the wrong one here, so two of the three fail on an
assertion about text that was never read. Blocking the import turns them
from two failures into a module-level skip.
The reports label listed requirements-reports.txt but not
requirements-figures.txt, and the fiche job installs both: the plot the
fiche embeds is drawn by the matplotlib and NumPy pinned in the figures
file, so a bump there can move the rendered PDF and its preview. Such a
pull request was going out with the figures label alone.
`make reports` deleted every committed PDF and preview before rendering a
single one, so a generator that died halfway left the working tree stripped
of the examples it had not reached yet. On CI that only fails the job, but
locally it is a real loss: 116 of the 134 committed files were gone twenty
seconds into an interrupted run, and the only way back is `git checkout`.

The set is now rendered into a scratch directory and moved into place once
it is complete. Clearing the output stays, because the generator overwrites
and never deletes and a fiche that is no longer produced has to disappear
from the tree; it just happens after a successful run rather than before an
attempted one. A trap removes the scratch directory on every exit path,
interrupted or not, and an empty one fails the target rather than emptying
the committed directory.
The test that checks every registered fiche has a committed render only
needed the name of each file, and it got it by calling all 67 factories for
the third element of the tuple they return, computing and plotting every
worked example to learn where they were meant to land. The registry is now
keyed by the file each factory writes, so the check is a path lookup: 1.58 s
of factory calls down to under the 5 ms pytest bothers to report. The
per-example render test asserts the factory still writes the file it is
registered under, so the keys cannot drift away from what is produced.

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Actionable comments posted: 2

🤖 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 `@Makefile`:
- Around line 149-156: Update the reports target’s replacement flow around the
existing tmp cleanup trap, find deletion, and mv commands: preserve the current
.github/reports directory as a backup, rename the generated scratch directory
into .github/reports, and restore the backup from the trap if any replacement
step fails or is interrupted. Remove the destructive per-file deletion and
ensure successful replacement cleans up the backup.

In `@tests/test_check_reports.py`:
- Around line 21-25: Move the module-level pytest.importorskip("pypdfium2") call
into the PDF-specific setup used by _fiche_pdf and cr.pdf_problem tests, so
raster tests continue running when pypdfium2 is unavailable. Keep the skip
scoped only to tests that require PDF page extraction.
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Comment thread Makefile Outdated
Comment thread tests/test_check_reports.py Outdated
Deleting the committed renders and then moving the new ones in left a
window where an interrupted move emptied the directory. The recipe now
renames the current directory aside, renames the fresh one into place
and only then discards the copy it kept, and the trap restores that copy
whenever the swap started but did not finish. It restores nothing when
the generator failed first, which is when the directory was never
touched.

The pypdfium2 skip also moves off the module and onto the three tests
that read a PDF, so the raster comparisons still run without it.

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Actionable comments posted: 1

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Verify each finding against current code. Fix only still-valid issues, skip the
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Inline comments:
In `@Makefile`:
- Around line 152-158: Update the reports target’s trap and swap sequence to
track completion explicitly: initialize a swap-complete flag, set it immediately
after moving "$tmp" into .github/reports, and make the trap restore
"$old"/current only when that flag is still unset. Preserve cleanup of "$tmp"
and "$old" in all cases so interrupted generation restores the committed
reports, while post-swap cleanup cannot replace the new directory with a
partially deleted backup.
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Comment thread Makefile
The backup still looked pending while the copy was being deleted, so an
interrupt in that stretch restored the previous renders over the ones
just generated. Renaming the copy aside first settles the question in a
single atomic rename, which leaves only two consecutive renames between
the new renders landing and the copy being disowned, rather than the
removal of 134 files.
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A composite assertion reports only that the pair was false, so a check
that returned None and one that returned the wrong reason failed the
same way.
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sonarqubecloud Bot commented Aug 1, 2026

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@jmrplens
jmrplens merged commit 1989cad into main Aug 1, 2026
33 checks passed
@jmrplens
jmrplens deleted the report-fiches-drift branch August 1, 2026 17:49
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