model validation: place the model, then weight the maps by sigma_A
--model re-fractionalized the model into the data cell and then left it there. On a non-isomorphous pair that is a placement error, not a cell error: the box is squeezed, the body inside it is not moved. Six parameters now recover it - an angle-axis rotation about the model's centroid and a translation, refined over a 6 / 4.5 / 3.5 A ladder, the scale (k_overall, anisotropic B, k_sol, b_sol) re-fitted at every evaluation so the target measures the placement and not the scale. The refinement sees only the working reflections and the step is committed only if R-free, on the free set it never saw, drops; otherwise the model goes back where it was read. Measured on merged lysozyme data against a deposited lysozyme model whose cell differs by 3.4% in c: R-work 0.559 -> 0.400, R-free 0.591 -> 0.383. Over the same 3.5 A range the external arbiter (REFMAC rigid body through dimple) works in, 0.524 -> 0.330 against REFMAC's 0.522 -> 0.355, and the recovered movement agrees with REFMAC's to 0.25 deg and 0.03 A (3.05 deg / 1.04 A vs 2.76 / 0.98). 2.4 s of added wall clock, 234 structure-factor evaluations. The map coefficients become 2mFo-DFc and mFo-DFc. sigma_A is estimated by maximum likelihood per resolution shell on the free reflections only, with the number of shells taken from the size of the free set so no shell is thin; centric and acentric reflections carry their own likelihoods, and a centric reflection's bias-free coefficient is mFo. Cross-checked against CCP4 SIGMAA on the same reflections: mean FOM 0.404 against its 0.396, with the same per-shell structure. The figure of merit is written to _maps.mtz so the weighting can be undone. The per-shell scaling refusal in fit_model stands - Fobs is never rescaled and the R-factors are untouched - but m and D are per-dataset, so maps from one campaign are no longer scaled identically. That is argued at the code and in docs/CPU_DATA_ANALYSIS_DECISIONS.md 14.4. Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01EFEJG6WBQv8th4UJFNe53N
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@@ -3,11 +3,18 @@
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#include <catch2/catch_all.hpp>
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#include <cmath>
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#include <cstdio>
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#include <filesystem>
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#include <fstream>
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#include <random>
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#include <gemmi/mmread_gz.hpp>
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#include "../common/Logger.h"
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#include "../rugnux/ModelValidation.h"
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#include "../rugnux/RigidBodyRefine.h"
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#include "../rugnux/SigmaA.h"
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namespace {
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// A synthetic P1 cell with two carbon atoms - enough for a reader to produce a Structure with
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@@ -45,6 +52,24 @@ ATOM 2 C . CB GLY A 1 12.000 14.000 16.000 1.00 20.00
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"ATOM 2 CB GLY A 1 12.000 14.000 16.000 1.00 20.00 C\n"
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"END\n";
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// A synthetic "protein": carbons filling one asymmetric unit of a small P2(1)2(1)2(1) cell. The
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// space group matters - in P1 the origin is free in all three directions, so |F| does not change
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// when the whole content is translated and there is no translation to recover. No specimen is
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// involved; the positions come out of a fixed seed.
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std::string ClusterPdb() {
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std::string pdb = "CRYST1 30.000 34.000 38.000 90.00 90.00 90.00 P 21 21 21 4\n";
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std::mt19937 rng(20260902);
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std::uniform_real_distribution<double> x(2, 14), y(2, 16), z(2, 18);
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char line[96];
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for (int i = 1; i <= 150; i++) {
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std::snprintf(line, sizeof line,
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"ATOM %5d C UNK A 1 %8.3f%8.3f%8.3f 1.00 20.00 C\n",
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i, x(rng), y(rng), z(rng));
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pdb += line;
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}
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return pdb + "END\n";
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}
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std::string WriteTemp(const std::string &name, const char *content) {
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std::ofstream f(name);
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f << content;
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@@ -102,3 +127,87 @@ TEST_CASE("ModelValidation_UnusableModelGivesAReason", "[ModelValidation]") {
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std::filesystem::remove(empty_file);
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}
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// A rigid-body step is only worth taking if it can find a shift it was not told about. The check is
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// closed: the "observed" amplitudes are the model's own, so the answer is known to be zero shift.
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TEST_CASE("ModelValidation_RigidBodyRecoversASmallShift", "[ModelValidation]") {
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Logger logger("ModelValidation_RigidBodyRecoversASmallShift");
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const auto path = WriteTemp("rigid_body_test.pdb", ClusterPdb().c_str());
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gemmi::Structure st = gemmi::read_structure_gz(path, gemmi::CoorFormat::Detect);
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const gemmi::SpaceGroup *sg = st.find_spacegroup();
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REQUIRE(sg != nullptr);
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st.setup_cell_images();
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// "Observed" amplitudes: the model's own structure factors, so the target's minimum is exactly
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// where the model started.
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const auto ref = ModelReferenceIntensities(path, {}, {}, 3.0, logger);
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REQUIRE_FALSE(ref.empty());
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gemmi::AsuData<gemmi::ValueSigma<float>> fobs;
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fobs.unit_cell_ = st.cell;
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fobs.spacegroup_ = sg;
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for (const auto &r : ref)
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fobs.v.push_back({{{r.h, r.k, r.l}}, {std::sqrt(r.I), 1.0f}});
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fobs.ensure_sorted();
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const std::vector<gemmi::Position> original = ModelPositions(st.models[0]);
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std::vector<gemmi::Position> displaced;
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for (const gemmi::Position &p : original)
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displaced.emplace_back(p.x + 0.40, p.y - 0.30, p.z + 0.20); // 0.54 A off
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SetModelPositions(st.models[0], displaced);
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const RigidBodyRefineResult result =
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RefineRigidBody(st.models[0], st.cell, *sg, fobs, 3.0, logger);
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CHECK(result.converged);
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const std::vector<gemmi::Position> refined = ModelPositions(st.models[0]);
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double before = 0, after = 0;
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for (size_t i = 0; i < original.size(); i++) {
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before += original[i].dist_sq(displaced[i]);
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after += original[i].dist_sq(refined[i]);
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}
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before = std::sqrt(before / original.size());
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after = std::sqrt(after / original.size());
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logger.Info("Rigid-body test: rmsd from the truth {:.3f} A -> {:.3f} A", before, after);
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CHECK(after < 0.2 * before);
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std::filesystem::remove(path);
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}
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// sigma_A is what says how much of the model to believe, so the two ends of its range are what the
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// weighting has to get right: a model that explains the data completely, and one that explains none
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// of it.
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TEST_CASE("ModelValidation_SigmaAWeightsFollowTheModelsAgreement", "[ModelValidation]") {
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gemmi::UnitCell cell(40, 50, 60, 90, 90, 90);
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std::mt19937 rng(12345);
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std::normal_distribution<double> normal(0.0, 1.0);
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auto weights = [&](bool agreeing) {
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std::vector<SigmaAReflection> refl;
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for (int i = 0; i < 2000; i++) {
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SigmaAReflection r;
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r.f_calc = std::fabs(normal(rng)) * 100;
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r.f_obs = agreeing ? r.f_calc : std::fabs(normal(rng)) * 100;
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r.inv_d2 = 0.01 + 0.2 * (i / 2000.0);
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r.free = (i % 20) == 0; // the usual 5 %
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refl.push_back(r);
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}
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return EstimateSigmaA(refl, cell);
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};
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const SigmaAResult perfect = weights(true);
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const SigmaAResult useless = weights(false);
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CHECK(perfect.mean_fom > 0.85);
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CHECK(useless.mean_fom < 0.2);
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CHECK(perfect.shells == 2); // 100 free reflections, 50 to a shell
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// No free reflections to estimate on: the coefficients are left alone rather than weighted by a
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// number that was never measured.
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std::vector<SigmaAReflection> no_free;
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for (int i = 0; i < 100; i++)
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no_free.push_back({100.0, 100.0, 0.05, 1, false, false});
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const SigmaAResult unweighted = EstimateSigmaA(no_free, cell);
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CHECK(unweighted.weight.size() == no_free.size());
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CHECK(unweighted.weight[0].m == 1.0);
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CHECK(unweighted.weight[0].d == 1.0);
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}
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