merge: the completeness denominator is the declared range, not the surviving one
CalcPossibleReflections was handed d_min/d_max derived from the reflections that came out of the merge, so a loss at either extreme took the numerator and the denominator with it. At the high end that is right: d_min is the finest d reached anywhere and the denominator is the full sphere down to it, so anisotropic loss shows. At the low end it was a tautology - d_max was the coarsest reflection that happened to survive, so anything the beam-stop shadow mask (on by default), a detector mask or the low-resolution limit itself removed left the denominator along with the data and could not be reported as missing. Both statistics paths now bin, and count, between the DECLARED low-resolution limit and the finest d reached: MergeOnTheFly::MergeStats (stills) and RotationScaleMerge::MergeAndStats (rotation). The grid and the denominator keep sharing their bounds, so no possible reflection falls outside a shell. An undeclared low limit is the whole sphere - 1/d^2 down to 0 - spelled as an infinite d_max, which ResolutionShells already handles and which gemmi's for_all_reflections special-cases; the change therefore reads correctly whether or not the 50 A default stays. The innermost shell keeps a finite d_max label, falling back to the coarsest reflection measured when the bound is infinite. This makes the shell boundaries the ones the integration document already claims: XDS lays its nine 1/d^2 bins between INCLUDE_RESOLUTION_RANGE's two values, not between the extremes of the surviving data, and counts POSSIBLE against the declared low limit - which is why its innermost shell reports the beam stop's loss. Verified against a CORRECT.LP: all nine boundaries reproduce to the printed precision from the declared 50 A, and not from the coarsest observed reflection. Measured on stored merges of seven rotation datasets, small-molecule and protein, re-scaled with --mode scale: the overall denominator moves by 0 to 2 reflections out of 70,000-100,000, because on every one of them the coarsest reflection the declared limit allows was itself measured - the corpus has no dataset whose stop eats a whole low-resolution class. What does move is the shell grid: the innermost boundary shifts by 0.1-0.4% in d (e.g. 7.21 -> 7.22 A), which changes the innermost shell's counts by up to a few per cent and its R_meas by around 0.1 percentage points. Stored battery baselines for rmeas_lo must therefore be regenerated, not compared across this commit. Two decisions read merged completeness (the two-pass wrong-cell guard, which only fires above 100.5% and only under -S); a larger denominator can only lower the figure, so the guard can fire less often, never more. Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01EFEJG6WBQv8th4UJFNe53N
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@@ -3,6 +3,8 @@
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#include <catch2/catch_all.hpp>
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#include "../image_analysis/scale_merge/HKLKey.h"
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#include "../image_analysis/scale_merge/Merge.h"
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#include "gemmi/reciproc.hpp"
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TEST_CASE("HKLKey_NoSG_noMergeFriedel") {
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HKLKeyGenerator hkl_key_gen(false, *gemmi::find_spacegroup_by_number(1));
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@@ -112,3 +114,144 @@ TEST_CASE("AcceptReflection_ResolutionLimits") {
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CHECK_FALSE(AcceptReflection(r, 0.0, 15.0));
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CHECK(AcceptReflection(r, 2.0, 50.0));
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}
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// --- Completeness denominator --------------------------------------------------------------------
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namespace {
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// A merged set built straight out of the reflections the cell and space group can give, so the
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// test says exactly which of them were measured: every unique reflection between d_min and
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// d_max_measured and none outside. Without Friedel merging an acentric contributes both hands.
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std::vector<MergedReflection> MeasuredBetween(const gemmi::SpaceGroup &sg, const UnitCell &cell,
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double d_min, double d_max_measured,
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bool merge_friedel) {
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const gemmi::UnitCell gemmi_cell = cell;
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const gemmi::GroupOps gops = sg.operations();
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std::vector<MergedReflection> out;
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for (const auto &hkl: gemmi::make_miller_vector(gemmi_cell, &sg, d_min, d_max_measured, true)) {
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MergedReflection r;
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r.h = hkl[0];
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r.k = hkl[1];
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r.l = hkl[2];
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r.d = static_cast<float>(gemmi_cell.calculate_d(hkl));
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r.I = 100.0f;
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r.sigma = 10.0f;
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r.I_half[0] = 100.0f;
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r.I_half[1] = 100.0f;
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out.push_back(r);
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if (!merge_friedel && !gops.is_reflection_centric(hkl)) {
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r.h = -hkl[0];
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r.k = -hkl[1];
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r.l = -hkl[2];
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out.push_back(r);
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}
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}
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return out;
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}
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MergeStatistics StatsWithLowLimit(const gemmi::SpaceGroup &sg, const std::optional<UnitCell> &cell,
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const std::vector<MergedReflection> &merged,
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std::optional<double> low_limit, bool merge_friedel) {
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DiffractionExperiment x;
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x.SetSpaceGroup(sg);
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ScalingSettings s = x.GetScalingSettings();
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s.LowResolutionLimit_A(low_limit);
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s.MergeFriedel(merge_friedel);
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x.ImportScalingSettings(s);
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MergeOnTheFly merge(x);
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merge.ReferenceCell(cell);
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return merge.MergeStats(merged, {});
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}
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double Completeness(const MergeStatisticsShell &s) {
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return s.possible_unique_reflections > 0
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? 100.0 * s.unique_reflections / s.possible_unique_reflections : 0.0;
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}
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const gemmi::SpaceGroup &TestSpaceGroup() { return gemmi::get_spacegroup_by_name("P 1 2 1"); }
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constexpr UnitCell TEST_CELL{40, 45, 50, 90, 100, 90}; // synthetic; coarsest reflection ~49 A
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}
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// The low-resolution terms a beam stop ate must count as missing: the denominator is the declared
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// range, so widening the declared range lowers completeness rather than leaving it alone.
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TEST_CASE("MergeStats_CompletenessFallsWhenTheLowBoundCrossesAMaskedRegion") {
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const auto &sg = TestSpaceGroup();
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// Nothing coarser than 20 A was measured - it is all behind the stop.
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const auto merged = MeasuredBetween(sg, TEST_CELL, 2.0, 20.0, true);
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REQUIRE(!merged.empty());
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const auto at_20 = StatsWithLowLimit(sg, TEST_CELL, merged, 20.0, true);
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const auto at_50 = StatsWithLowLimit(sg, TEST_CELL, merged, 50.0, true);
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// Declared exactly where the data stop: everything possible was measured.
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CHECK(Completeness(at_20.overall) > 99.0);
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// Declared out to 50 A: the 20-50 A shell is in the denominator and in nothing else.
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CHECK(at_50.overall.possible_unique_reflections > at_20.overall.possible_unique_reflections);
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CHECK(at_50.overall.unique_reflections == at_20.overall.unique_reflections);
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CHECK(Completeness(at_50.overall) < Completeness(at_20.overall));
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// The innermost shell is where it bites.
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CHECK(Completeness(at_50.shells.front()) < Completeness(at_20.shells.front()));
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}
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// No low-resolution limit means the whole sphere. The cell has no reflection coarser than 50 A, so
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// freeing the 50 A limit must count the same set - the fix does not presuppose either default.
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TEST_CASE("MergeStats_CompletenessWithNoDeclaredLowLimit") {
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const auto &sg = TestSpaceGroup();
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const auto merged = MeasuredBetween(sg, TEST_CELL, 2.0, 20.0, true);
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const auto at_50 = StatsWithLowLimit(sg, TEST_CELL, merged, 50.0, true);
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const auto unlimited = StatsWithLowLimit(sg, TEST_CELL, merged, std::nullopt, true);
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CHECK(unlimited.overall.possible_unique_reflections == at_50.overall.possible_unique_reflections);
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CHECK(Completeness(unlimited.overall) == Catch::Approx(Completeness(at_50.overall)));
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// The shell table stays finite even though the bound is not.
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CHECK(std::isfinite(unlimited.shells.front().d_max));
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}
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// Counting the two Bijvoet mates of an acentric separately doubles the denominator too, so a fully
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// measured anomalous set is 100% complete and not 200%.
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TEST_CASE("MergeStats_CompletenessNeverExceeds100") {
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const auto &sg = TestSpaceGroup();
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for (const bool merge_friedel: {true, false}) {
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const auto merged = MeasuredBetween(sg, TEST_CELL, 2.0, 50.0, merge_friedel);
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const auto stats = StatsWithLowLimit(sg, TEST_CELL, merged, 50.0, merge_friedel);
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INFO("merge_friedel = " << merge_friedel);
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CHECK(Completeness(stats.overall) <= 100.0);
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CHECK(Completeness(stats.overall) > 99.0);
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for (const auto &sh: stats.shells)
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CHECK(Completeness(sh) <= 100.0);
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}
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}
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// The shell grid and the denominator share their bounds, so every possible reflection lands in a
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// shell: the shells sum to the overall, and the overall is the sphere the run declared.
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TEST_CASE("MergeStats_PossibleSumsOverTheShellsToTheDeclaredSphere") {
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const auto &sg = TestSpaceGroup();
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const auto merged = MeasuredBetween(sg, TEST_CELL, 2.0, 20.0, true);
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const auto stats = StatsWithLowLimit(sg, TEST_CELL, merged, 50.0, true);
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int sum = 0;
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for (const auto &sh: stats.shells)
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sum += sh.possible_unique_reflections;
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CHECK(sum == stats.overall.possible_unique_reflections);
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// Counted independently over the same declared range - nothing is lost between the two.
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const gemmi::UnitCell gemmi_cell = TEST_CELL;
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const int expected = gemmi::count_reflections(gemmi_cell, &sg, stats.overall.d_min * 0.999, 50.0, true);
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CHECK(stats.overall.possible_unique_reflections == expected);
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}
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// Without a reference cell there is no set to count against; completeness stays unmeasured rather
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// than becoming a number, with or without a declared low limit.
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TEST_CASE("MergeStats_NoReferenceCellLeavesCompletenessUnmeasured") {
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const auto &sg = TestSpaceGroup();
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const auto merged = MeasuredBetween(sg, TEST_CELL, 2.0, 20.0, true);
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for (const std::optional<double> low_limit: {std::optional<double>(50.0), std::optional<double>()}) {
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const auto stats = StatsWithLowLimit(sg, std::nullopt, merged, low_limit, true);
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CHECK(stats.overall.possible_unique_reflections == 0);
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CHECK(stats.overall.unique_reflections > 0);
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CHECK(Completeness(stats.overall) == 0.0);
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}
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}
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