rugnux: stop the space-group search starving on a low-ISa merge
The correlation stage kept only reflections with I/sigma >= present_i_over_sigma (3.0). That statistic is taken on the P1-MERGED intensities, whose sigma is floored at b|I| (Merge.h, SigmaWithSystematicFloor) so that ISa = 1/b is the asymptotic I/sigma ceiling - no reflection in a merge can read above it. Verified over the rotation battery: max I/sigma equals 1/b on every merge. So a fixed cut is not a per-reflection test at all. Every reflection sitting at the floor reads 1/b exactly, however strong, and on a merge whose ISa falls below the cut NOTHING passes: every operator is left with no pairs, its CC is NaN, and the point group collapses to 1. The predicate "search-merge ISa < 3" identifies the affected crystals exactly. It is latent today - no crystal in the battery starves on the shipped integration background - but it fires on four as soon as an additive intensity bias is removed, and it is not a data-quality verdict: the crystals it silences have final merges at ISa 19-22 while their low-multiplicity search merge sits at 3.5-4.0, just above the cut. Cap the cut at the merge's own I/sigma quantile so the correlation stage always keeps at least its strongest quarter. A no-op wherever the fixed cut already keeps that many - the cut stays exactly 3.000 on healthy merges. Battery unchanged at 34 space groups matching XDS / 3 differing, with merged observations identical to 0.000% on all 37 crystals. Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
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@@ -219,14 +219,41 @@ SearchSpaceGroupResult SearchSpaceGroup(
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const bool in_range = finite && (opt.d_min_limit_A <= 0 || r.d >= opt.d_min_limit_A);
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IoverSigma[i] = finite ? r.I / r.sigma : 0.0;
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pass_absence[i] = in_range;
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// The correlation stage uses only genuinely-present reflections. Near-zero (systematically
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// absent) reflections would otherwise form a second cluster at the origin and fake a high
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// correlation for false operators - fatal on centered lattices, where half the reflections
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// are extinct.
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pass_cc[i] = in_range && IoverSigma[i] >= opt.present_i_over_sigma &&
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(opt.min_i_over_sigma <= 0 || IoverSigma[i] >= opt.min_i_over_sigma);
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}
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// The merge floors the merged sigma at b|I| (Merge.h SigmaWithSystematicFloor) so that ISa = 1/b
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// stays the asymptotic I/sigma ceiling: no reflection in the merge can read above it. A fixed
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// I/sigma cut is therefore not a per-reflection test but a switch on the error model - every
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// reflection at the floor reads 1/b exactly, however strong it is, and on a merge whose ISa falls
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// below the cut NOTHING passes, so every operator is left with no pairs and the point group
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// collapses to 1. Measured over the rotation battery: max I/sigma equals 1/b on every merge, and
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// the four crystals that lose symmetry are exactly the four whose search merge sits at ISa 3.5-4.0
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// - just above this cut - and drops below 3 when the integration background changes.
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// So cap the cut at the merge's own I/sigma quantile: the correlation stage always keeps at least
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// its strongest quarter. This is a no-op on any merge where the fixed cut already keeps that many.
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constexpr double MIN_PRESENT_FRACTION = 0.25;
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double present_cut = opt.present_i_over_sigma;
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{
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std::vector<double> v;
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v.reserve(n);
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for (size_t i = 0; i < n; ++i)
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if (pass_absence[i])
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v.push_back(IoverSigma[i]);
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if (!v.empty()) {
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const size_t k = static_cast<size_t>((1.0 - MIN_PRESENT_FRACTION) * (v.size() - 1));
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std::nth_element(v.begin(), v.begin() + k, v.end());
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present_cut = std::min(present_cut, v[k]);
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}
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}
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// The correlation stage uses only genuinely-present reflections. Near-zero (systematically
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// absent) reflections would otherwise form a second cluster at the origin and fake a high
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// correlation for false operators - fatal on centered lattices, where half the reflections
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// are extinct.
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for (size_t i = 0; i < n; ++i)
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pass_cc[i] = pass_absence[i] && IoverSigma[i] >= present_cut &&
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(opt.min_i_over_sigma <= 0 || IoverSigma[i] >= opt.min_i_over_sigma);
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// Resolution-normalised intensity E^2 = I / <I>(shell), from equal-count resolution shells over
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// the reflections the absence test uses. Lets the absence test judge "present" by intensity
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// magnitude, not by a possibly under-estimated sigma (see present_e_squared).
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